diff -Nru axiom-20110301a/books/bookvol0.pamphlet axiom-20111101/books/bookvol0.pamphlet --- axiom-20110301a/books/bookvol0.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/books/bookvol0.pamphlet 2011-12-01 04:03:11.000000000 +0000 @@ -2,6 +2,7 @@ %\usepackage{axiom} \usepackage{hyperref} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior @@ -583,7 +584,8 @@ \subsection{HyperDoc} \begin{figure}[htbp] -\includegraphics[bbllx=1, bblly=1, bburx=298, bbury=290]{ps/h-root.ps} +%\includegraphics[bbllx=1, bblly=1, bburx=298, bbury=290]{ps/h-root.ps} +\includegraphics[scale=0.75]{ps/h-root.eps} \caption{Hyperdoc opening menu} \label{fig-intro-br} \end{figure} @@ -781,7 +783,8 @@ $$ \left[ \begin{array}{cc} -{x+i} & 0 \\ +\displaystyle{} +{x+\%{\rm i}} & 0 \\ 1 & -2 \end{array} \right] @@ -799,8 +802,8 @@ $$ \left[ \begin{array}{cc} -{\frac{1}{x+i}} & 0 \\ -{\frac{1}{{2 \ x}+{2 \ i}}} & -{\frac{1}{2}} +\displaystyle{\frac{1}{x+\%{\rm i}}} & 0 \\ +\displaystyle{\frac{1}{{2 \ x}+{2 \%{\rm i}}}} & -{\frac{1}{2}} \end{array} \right] $$ @@ -1308,7 +1311,7 @@ An example of this might be to calculate the cosine of 2.45 (in radians). To do this one would type: -\spadcommand{cos 2.45} +\spadcommand{(1) -> cos 2.45} $$ -{0.7702312540 473073417} $$ @@ -1664,9 +1667,9 @@ the square root of $-1$. Thus expressions involving complex numbers are entered just like other expressions. -\spadcommand{(2/3 + \%i)**3} +\spadcommand{(2/3 + \%{\rm i})**3} $$ --{\frac{46}{27}}+{{\frac{1}{3}} \ i} +-{\frac{46}{27}}+{{\frac{1}{3}} \%{\rm i}} $$ \returnType{Type: Complex Fraction Integer} @@ -1674,30 +1677,45 @@ the {\bf real} and {\bf imag} functions and the complex conjugate of a number can be obtained using {\bf conjugate}: -\spadcommand{real(3 + 2*\%i)} +\spadcommand{real(3 + 2*\%{\rm i})} $$ 3 $$ \returnType{Type: PositiveInteger} -\spadcommand{imag(3+ 2*\%i)} +\spadcommand{imag(3+ 2*\%{\rm i})} $$ 2 $$ \returnType{Type: PositiveInteger} -\spadcommand{conjugate(3 + 2*\%i)} +\spadcommand{conjugate(3 + 2*\%{\rm i})} $$ -3 -{2 \ i} +3 -{2 \%{\rm i}} $$ \returnType{Type: Complex Integer} The function {\bf factor} can also be applied to complex numbers but the results aren't quite so obvious as for factoring integer: -\spadcommand{144 + 24*\%i} +\spadcommand{144 + 24*\%{\rm i}} +$$ +{144}+{{24} \%{\rm i}} +$$ +\returnType{Type: Complex Integer} + +\spadcommand{factor \%} +$$ +\displaystyle \%{\rm i} (1 + \%{\rm i})^6\ \ 3(6 + \%{\rm i}) +$$ +\returnType{Type: Factored Complex Integer} + +We can see that this multiplies out to the original value by expanding +the factored expression: + +\spadcommand{expand \%} $$ -{144}+{{24} \ i} +{144}+{{24} \%{\rm i}} $$ \returnType{Type: Complex Integer} @@ -1732,13 +1750,13 @@ \spadcommand{outputFloating(); \%} $$ -0.3141592653 5897932384 6264338327 9502884197 E 1 +0.3141592653 5897932384 6264338327 9502884197 {\rm\ E\ } 1 $$ \returnType{Type: Float} \spadcommand{outputFloating(3); 0.00345} $$ -0.345 E -2 +0.345 {\rm\ E\ } -2 $$ \returnType{Type: Float} @@ -2203,7 +2221,7 @@ \returnType{Type: PositiveInteger} Lists in Axiom are mutable and so their contents (the elements and the links) -can be modified in place. Functions that operator over lists in this way have +can be modified in place. Functions that operate over lists in this way have names ending in the symbol ``!''. For example, {\bf concat!} takes two lists as arguments and appends the second argument to the first (except when the first argument is an empty list) and {\bf setrest!} changes the link @@ -2665,7 +2683,7 @@ $$ \returnType{Type: OneDimensionalArray PositiveInteger} -One-dimensional array are homogenous (all elements must have the same type) +One-dimensional arrays are homogenous (all elements must have the same type) and mutable (elements can be changed) like lists but unlike lists they are constant in size and have uniform access times (it is just as quick to read the last element of a one-dimensional array as it is to read the first; this @@ -2919,7 +2937,7 @@ \subsection{Reading Code from a File} Input files contain code that will be fed to the command prompt. The -primary different between the command line and an input file is that +primary difference between the command line and an input file is that indentation matters. In an input file you can specify ``piles'' of code by using indentation. @@ -3401,6 +3419,7 @@ \end{verbatim} \returnType{Type: Void} +We could use two parallel whiles \begin{verbatim} x:=1 y:=1 @@ -3409,6 +3428,7 @@ x := x + 1 y := y + 2 \end{verbatim} +the {\bf )read} yields: \begin{verbatim} x:=1 \end{verbatim} @@ -43878,7 +43898,7 @@ lists. This enables us to compute the set of fixed points and the set of moved points easily. \begin{verbatim} - p := coercePreimagesImages([[1,2,3],[1,2,3]]) + p := coercePreimagesImages([ [1,2,3],[1,2,3] ]) 1 Type: Permutation PositiveInteger \end{verbatim} @@ -43893,7 +43913,7 @@ Type: Boolean \end{verbatim} \begin{verbatim} - p := coercePreimagesImages([[0,1,2,3],[3,0,2,1]])$PERM ZMOD 4 + p := coercePreimagesImages([ [0,1,2,3],[3,0,2,1] ])$PERM ZMOD 4 (1 0 3) Type: Permutation IntegerMod 4 \end{verbatim} @@ -43903,7 +43923,7 @@ Type: Set IntegerMod 4 \end{verbatim} \begin{verbatim} - q := coercePreimagesImages([[0,1,2,3],[1,0]])$PERM ZMOD 4 + q := coercePreimagesImages([ [0,1,2,3],[1,0] ])$PERM ZMOD 4 (1 0) Type: Permutation IntegerMod 4 \end{verbatim} @@ -50659,7 +50679,7 @@ x $$ -\spadcommand{a:S:=matrix [[2,3],[1,1]]} +\spadcommand{a:S:=matrix [ [2,3],[1,1] ]} $$ \left[ \begin{array}{cc} diff -Nru axiom-20110301a/books/bookvol10.1.pamphlet axiom-20111101/books/bookvol10.1.pamphlet --- axiom-20110301a/books/bookvol10.1.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/books/bookvol10.1.pamphlet 2011-12-01 04:03:11.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{amssymb} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \renewcommand{\thefootnote}{\fnsymbol{footnote}} diff -Nru axiom-20110301a/books/bookvol10.2.pamphlet axiom-20111101/books/bookvol10.2.pamphlet --- axiom-20110301a/books/bookvol10.2.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/books/bookvol10.2.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{amssymb} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % special meanings for math characters @@ -228,7 +229,7 @@ algebra there is a strict subset hierarchy, like:\hfill\\ \includegraphics[scale=0.50]{ps/v102algebrahierarchy.ps} -<>= +\begin{chunk}{algebrahierarchy.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -254,7 +255,7 @@ "Euclidean Domain" -> "Field" } -@ +\end{chunk} \chapter{Category Layer 1} In general, we use several colors in the graph images. The ``lightblue'' color indicates a category that is in the @@ -295,17 +296,17 @@ \pageto{TrigonometricFunctionCategory}{TRIGCAT} \pageto{Type}{TYPE} -<>= +\begin{chunk}{CATEGORY.dotabb} "CATEGORY" [color=lightblue,href="bookvol10.2.pdf#nameddest=CATEGORY"]; -@ -<>= +\end{chunk} +\begin{chunk}{CATEGORY.dotfull} "Category" [color=lightblue,href="bookvol10.2.pdf#nameddest=CATEGORY"]; -@ -<>= +\end{chunk} +\begin{chunk}{CATEGORY.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -314,11 +315,11 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ArcHyperbolicFunctionCategory}{AHYP} \pagepic{ps/v102archyperbolicfunctioncategory.ps}{AHYP}{1.00} -<>= +\begin{chunk}{ArcHyperbolicFunctionCategory.input} )set break resume )sys rm -f ArcHyperbolicFunctionCategory.output )spool ArcHyperbolicFunctionCategory.output @@ -342,8 +343,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ArcHyperbolicFunctionCategory.help} ==================================================================== ArcHyperbolicFunctionCategory examples ==================================================================== @@ -351,7 +352,7 @@ See Also: o )show ArcHyperbolicFunctionCategory -@ +\end{chunk} {\bf See:} @@ -379,7 +380,7 @@ atanh : % -> % \end{verbatim} -<>= +\begin{chunk}{category AHYP ArcHyperbolicFunctionCategory} )abbrev category AHYP ArcHyperbolicFunctionCategory ++ Category for the inverse hyperbolic trigonometric functions ++ Author: ??? @@ -396,20 +397,20 @@ asinh: $ -> $ ++ asinh(x) returns the hyperbolic arc-sine of x. atanh: $ -> $ ++ atanh(x) returns the hyperbolic arc-tangent of x. -@ -<>= +\end{chunk} +\begin{chunk}{AHYP.dotabb} "AHYP" [color=lightblue,href="bookvol10.2.pdf#nameddest=AHYP"]; "AHYP" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{AHYP.dotfull} "ArcHyperbolicFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=AHYP"]; "ArcHyperbolicFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{AHYP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -421,7 +422,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ArcTrigonometricFunctionCategory}{ATRIG} \pagepic{ps/v102arctrigonometricfunctioncategory.ps}{ATRIG}{1.00} @@ -429,7 +430,7 @@ The {\tt asec} and {\tt acsc} functions were modified to include an intermediate test to check that the argument has a reciprocal values. -<>= +\begin{chunk}{ArcTrigonometricFunctionCategory.input} )set break resume )sys rm -f ArcTrigonometricFunctionCategory.output )spool ArcTrigonometricFunctionCategory.output @@ -453,8 +454,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ArcTrigonometricFunctionCategory.help} ==================================================================== ArcTrigonometricFunctionCategory examples ==================================================================== @@ -462,7 +463,7 @@ See Also: o )show ArcTrigonometricFunctionCategory -@ +\end{chunk} {\bf See:} \pageto{TranscendentalFunctionCategory}{TRANFUN} @@ -493,7 +494,7 @@ asec : % -> % \end{verbatim} -<>= +\begin{chunk}{category ATRIG ArcTrigonometricFunctionCategory} )abbrev category ATRIG ArcTrigonometricFunctionCategory ++ Category for the inverse trigonometric functions ++ Author: ??? @@ -518,20 +519,20 @@ (a := recip x) case "failed" => error "acsc: no reciprocal" asin(a::$) -@ -<>= +\end{chunk} +\begin{chunk}{ATRIG.dotabb} "ATRIG" [color=lightblue,href="bookvol10.2.pdf#nameddest=ATRIG"]; "ATRIG" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{ATRIG.dotfull} "ArcTrigonometricFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ATRIG"]; "ArcTrigonometricFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{ATRIG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -543,7 +544,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AttributeRegistry}{ATTREG} \pagepic{ps/v102attributeregistry.ps}{ATTREG}{1.00} @@ -614,7 +615,7 @@ \item {\bf \cross{ATTREG}{complex}} means that this domain has $\sqrt{-1}$ \end{itemize} -<>= +\begin{chunk}{category ATTREG AttributeRegistry} )abbrev category ATTREG AttributeRegistry ++ Description: ++ This category exports the attributes in the AXIOM Library @@ -688,20 +689,20 @@ approximate ++ \spad{approximate} means "is an approximation to the real numbers". -@ -<>= +\end{chunk} +\begin{chunk}{ATTREG.dotabb} "ATTREG" [color=lightblue,href="bookvol10.2.pdf#nameddest=ATTREG"]; "ATTREG" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{ATTREG.dotfull} "AttributeRegistry()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ATTREG"]; "AttributeRegistry()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{ATTREG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -713,12 +714,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BasicType}{BASTYPE} \pagepic{ps/v102basictype.ps}{BASTYPE}{1.00} -<>= +\begin{chunk}{BasicType.input} )set break resume )sys rm -f BasicType.output )spool BasicType.output @@ -740,8 +741,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BasicType.help} ==================================================================== BasicType examples ==================================================================== @@ -749,7 +750,7 @@ See Also: o )show BasicType -@ +\end{chunk} {\bf See:} \pageto{BlowUpMethodCategory}{BLMETCT} @@ -773,7 +774,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category BASTYPE BasicType} )abbrev category BASTYPE BasicType --% BasicType ++ Author: @@ -795,20 +796,20 @@ add _~_=(x:%,y:%) : Boolean == not(x=y) -@ -<>= +\end{chunk} +\begin{chunk}{BASTYPE.dotabb} "BASTYPE" [color=lightblue,href="bookvol10.2.pdf#nameddest=BASTYPE"]; "BASTYPE" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{BASTYPE.dotfull} "BasicType()" [color=lightblue,href="bookvol10.2.pdf#nameddest=BASTYPE"]; "BasicType()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{BASTYPE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -820,12 +821,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CoercibleTo}{KOERCE} \pagepic{ps/v102koerce.ps}{KOERCE}{1.00} -<>= +\begin{chunk}{CoercibleTo.input} )set break resume )sys rm -f CoercibleTo.output )spool CoercibleTo.output @@ -847,8 +848,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CoercibleTo.help} ==================================================================== CoercibleTo examples ==================================================================== @@ -856,7 +857,7 @@ See Also: o )show CoercibleTo -@ +\end{chunk} {\bf See:} \pageto{BlowUpMethodCategory}{BLMETCT} @@ -877,7 +878,7 @@ coerce : % -> S \end{verbatim} -<>= +\begin{chunk}{category KOERCE CoercibleTo} )abbrev category KOERCE CoercibleTo ++ Category for coerce ++ Author: Manuel Bronstein @@ -891,14 +892,14 @@ coerce: % -> S ++ coerce(a) transforms a into an element of S. -@ -<>= +\end{chunk} +\begin{chunk}{KOERCE.dotabb} "KOERCE" [color=lightblue,href="bookvol10.2.pdf#nameddest=KOERCE"]; "KOERCE" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{KOERCE.dotfull} "CoercibleTo(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=KOERCE"]; "CoercibleTo(a:Type)" -> "Category" @@ -913,8 +914,8 @@ "CoercibleTo(List(RecursivePolynomialCategory(Ring,OrderedAbelianMonoidSup(),OrderedSet()))" -> "CoercibleTo(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{KOERCE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -926,12 +927,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CombinatorialFunctionCategory}{CFCAT} \pagepic{ps/v102combinatorialfunctioncategory.ps}{CFCAT}{1.00} -<>= +\begin{chunk}{CombinatorialFunctionCategory.input} )set break resume )sys rm -f CombinatorialFunctionCategory.output )spool CombinatorialFunctionCategory.output @@ -954,8 +955,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CombinatorialFunctionCategory.help} ==================================================================== CombinatorialFunctionCategory examples ==================================================================== @@ -963,7 +964,7 @@ See Also: o )show CombinatorialFunctionCategory -@ +\end{chunk} {\bf See:} \pageto{CombinatorialOpsCategory}{COMBOPC} @@ -985,7 +986,7 @@ permutation : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category CFCAT CombinatorialFunctionCategory} )abbrev category CFCAT CombinatorialFunctionCategory ++ Category for the usual combinatorial functions ++ Author: Manuel Bronstein @@ -1010,20 +1011,20 @@ ++ permutations of n objects taken m at a time. ++ Note that \spad{permutation(n,m) = n!/(n-m)!}. -@ -<>= +\end{chunk} +\begin{chunk}{CFCAT.dotabb} "CFCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=CFCAT"]; "CFCAT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{CFCAT.dotfull} "CombinatorialFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=CFCAT"]; "CombinatorialFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{CFCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1035,12 +1036,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ConvertibleTo}{KONVERT} \pagepic{ps/v102konvert.ps}{KONVERT}{1.00} -<>= +\begin{chunk}{ConvertibleTo.input} )set break resume )sys rm -f ConvertibleTo.output )spool ConvertibleTo.output @@ -1062,8 +1063,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ConvertibleTo.help} ==================================================================== ConvertibleTo examples ==================================================================== @@ -1071,7 +1072,7 @@ See Also: o )show ConvertibleTo -@ +\end{chunk} {\bf See:} \pageto{Collection}{CLAGG} @@ -1092,7 +1093,7 @@ convert : % -> S \end{verbatim} -<>= +\begin{chunk}{category KONVERT ConvertibleTo} )abbrev category KONVERT ConvertibleTo ++ Category for convert ++ Author: Manuel Bronstein @@ -1107,14 +1108,14 @@ convert: % -> S ++ convert(a) transforms a into an element of S. -@ -<>= +\end{chunk} +\begin{chunk}{KONVERT.dotabb} "KONVERT" [color=lightblue,href="bookvol10.2.pdf#nameddest=KONVERT"]; "KONVERT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{KONVERT.dotfull} "ConvertibleTo(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=KONVERT"]; "ConvertibleTo(a:Type)" -> "Category" @@ -1180,8 +1181,8 @@ "ConvertibleTo(UnivariatePolynomialCategory(CommutativeRing))" -> "ConvertibleTo(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{KONVERT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1193,12 +1194,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ElementaryFunctionCategory}{ELEMFUN} \pagepic{ps/v102elementaryfunctioncategory.ps}{ELEMFUN}{1.00} -<>= +\begin{chunk}{ElementaryFunctionCategory.input} )set break resume )sys rm -f ElementaryFunctionCategory.output )spool ElementaryFunctionCategory.output @@ -1221,8 +1222,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ElementaryFunctionCategory.help} ==================================================================== ElementaryFunctionCategory examples ==================================================================== @@ -1230,7 +1231,7 @@ See Also: o )show ElementaryFunctionCategory -@ +\end{chunk} {\bf See:} \pageto{TranscendentalFunctionCategory}{TRANFUN} @@ -1255,7 +1256,7 @@ ?**? : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category ELEMFUN ElementaryFunctionCategory} )abbrev category ELEMFUN ElementaryFunctionCategory ++ Category for the elementary functions ++ Author: Manuel Bronstein @@ -1272,20 +1273,20 @@ if $ has Monoid then x ** y == exp(y * log x) -@ -<>= +\end{chunk} +\begin{chunk}{ELEMFUN.dotabb} "ELEMFUN" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELEMFUN"]; "ELEMFUN" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{ELEMFUN.dotfull} "ElementaryFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELEMFUN"]; "ElementaryFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{ELEMFUN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1297,12 +1298,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Eltable}{ELTAB} \pagepic{ps/v102eltab.ps}{ELTAB}{1.00} -<>= +\begin{chunk}{Eltable.input} )set break resume )sys rm -f Eltable.output )spool Eltable.output @@ -1324,8 +1325,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Eltable.help} ==================================================================== Eltable examples ==================================================================== @@ -1333,7 +1334,7 @@ See Also: o )show Eltable -@ +\end{chunk} {\bf See:} \pageto{EltableAggregate}{ELTAGG}\hfill @@ -1352,7 +1353,7 @@ ?.? : (%,S) -> Index \end{verbatim} -<>= +\begin{chunk}{category ELTAB Eltable} )abbrev category ELTAB Eltable ++ Author: Michael Monagan; revised by Manuel Bronstein and Manuel Bronstein ++ Date Created: August 87 through August 88 @@ -1375,13 +1376,13 @@ ++ elt(u,i) (also written: u . i) returns the element of u indexed by i. ++ Error: if i is not an index of u. -@ -<>= +\end{chunk} +\begin{chunk}{ELTAB.dotabb} "ELTAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELTAB"]; "ELTAB" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{ELTAB.dotfull} "Eltable(a:SetCategory,b:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELTAB"]; "Eltable(a:SetCategory,b:Type)" -> "Category" @@ -1401,8 +1402,8 @@ "Eltable(a:SetCategory,b:SetCategory)" -> "Eltable(a:SetCategory,b:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{ELTAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1414,7 +1415,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{HyperbolicFunctionCategory}{HYPCAT} \pagepic{ps/v102hyperbolicfunctioncategory.ps}{HYPCAT}{1.00} @@ -1422,7 +1423,7 @@ The {\tt csch} and {\tt sech} functions were modified to include an intermediate test to check that the argument has a reciprocal values. -<>= +\begin{chunk}{HyperbolicFunctionCategory.input} )set break resume )sys rm -f HyperbolicFunctionCategory.output )spool HyperbolicFunctionCategory.output @@ -1446,8 +1447,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HyperbolicFunctionCategory.help} ==================================================================== HyperbolicFunctionCategory examples ==================================================================== @@ -1455,7 +1456,7 @@ See Also: o )show HyperbolicFunctionCategory -@ +\end{chunk} {\bf See:} \pageto{TranscendentalFunctionCategory}{TRANFUN} @@ -1482,7 +1483,7 @@ tanh : % -> % \end{verbatim} -<>= +\begin{chunk}{category HYPCAT HyperbolicFunctionCategory} )abbrev category HYPCAT HyperbolicFunctionCategory ++ Category for the hyperbolic trigonometric functions ++ Author: ??? @@ -1516,20 +1517,20 @@ e := exp x (e - recip(e)::$) * recip(2::$)::$ -@ -<>= +\end{chunk} +\begin{chunk}{HYPCAT.dotabb} "HYPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=HYPCAT"]; "HYPCAT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{HYPCAT.dotfull} "HyperbolicFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=HYPCAT"]; "HyperbolicFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{HYPCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1541,12 +1542,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{InnerEvalable}{IEVALAB} \pagepic{ps/v102innerevalable.ps}{IEVALAB}{1.00} -<>= +\begin{chunk}{InnerEvalable.input} )set break resume )sys rm -f InnerEvalable.output )spool InnerEvalable.output @@ -1568,8 +1569,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerEvalable.help} ==================================================================== InnerEvalable examples ==================================================================== @@ -1577,7 +1578,7 @@ See Also: o )show InnerEvalable -@ +\end{chunk} {\bf See:} \pageto{DesingTreeCategory}{DSTRCAT} @@ -1603,7 +1604,7 @@ eval : (%,List A,List B) -> % \end{verbatim} -<>= +\begin{chunk}{category IEVALAB InnerEvalable} )abbrev category IEVALAB InnerEvalable -- FOR THE BENEFIT OF LIBAX0 GENERATION ++ Author: @@ -1632,14 +1633,14 @@ add eval(f:$, x:A, v:B) == eval(f, [x], [v]) -@ -<>= +\end{chunk} +\begin{chunk}{IEVALAB.dotabb} "IEVALAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=IEVALAB"]; "IEVALAB" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{IEVALAB.dotfull} "InnerEvalable(a:SetCategory,b:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=IEVALAB"]; "InnerEvalable(a:SetCategory,b:Type)" -> "Category" @@ -1669,8 +1670,8 @@ "InnerEvalable(Kernal(ExpressionSpace),ExpressionSpace)" -> "InnerEvalable(a:SetCategory,b:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{IEVALAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1682,12 +1683,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OpenMath}{OM} \pagepic{ps/v102openmath.ps}{OM}{1.00} -<>= +\begin{chunk}{OpenMath.input} )set break resume )sys rm -f OpenMath.output )spool OpenMath.output @@ -1711,8 +1712,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OpenMath.help} ==================================================================== OpenMath examples ==================================================================== @@ -1720,7 +1721,7 @@ See Also: o )show OpenMath -@ +\end{chunk} {\bf See:} \pageto{StringCategory}{STRICAT} @@ -1740,7 +1741,7 @@ OMwrite : (OpenMathDevice,%,Boolean) -> Void \end{verbatim} -<>= +\begin{chunk}{category OM OpenMath} )abbrev category OM OpenMath ++ Author: Mike Dewar & Vilya Harvey ++ Basic Functions: OMwrite @@ -1769,20 +1770,20 @@ ++ the OpenMath device \axiom{dev} as a complete OpenMath object; ++ OMwrite(dev, u, false) writes the object as an OpenMath fragment. -@ -<>= +\end{chunk} +\begin{chunk}{OM.dotabb} "OM" [color=lightblue,href="bookvol10.2.pdf#nameddest=OM"]; "OM" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{OM.dotfull} "OpenMath()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OM"]; "OpenMath()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{OM.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -1794,12 +1795,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PartialTranscendentalFunctions}{PTRANFN} \pagepic{ps/v102partialtranscendentalfunctions.ps}{PTRANFN}{1.00} -<>= +\begin{chunk}{PartialTranscendentalFunctions.input} )set break resume )sys rm -f PartialTranscendentalFunctions.output )spool PartialTranscendentalFunctions.output @@ -1837,8 +1838,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PartialTranscendentalFunctions.help} ==================================================================== PartialTranscendentalFunctions examples ==================================================================== @@ -1846,7 +1847,7 @@ See Also: o )show PartialTranscendentalFunctions -@ +\end{chunk} {\bf See:} \pagefrom{Category}{CATEGORY} @@ -1914,7 +1915,7 @@ tanhIfCan : K -> Union(K,"failed") \end{verbatim} -<>= +\begin{chunk}{category PTRANFN PartialTranscendentalFunctions} )abbrev category PTRANFN PartialTranscendentalFunctions ++ Description of a package which provides partial transcendental ++ functions, i.e. functions which return an answer or "failed" @@ -2004,21 +2005,21 @@ acschIfCan: K -> Union(K,"failed") ++ acschIfCan(z) returns acsch(z) if possible, and "failed" otherwise. -@ -<>= +\end{chunk} +\begin{chunk}{PTRANFN.dotabb} "PTRANFN" [color=lightblue,href="bookvol10.2.pdf#nameddest=PTRANFN"]; "PTRANFN" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{PTRANFN.dotfull} "PartialTranscendentalFunctions(TranscendentalFunctionCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PTRANFN"]; "PartialTranscendentalFunctions(TranscendentalFunctionCategory)" -> "Category()" -@ -<>= +\end{chunk} +\begin{chunk}{PTRANFN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2033,12 +2034,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Patternable}{PATAB} \pagepic{ps/v102patternable.ps}{PATAB}{1.00} -<>= +\begin{chunk}{Patternable.input} )set break resume )sys rm -f Patternable.output )spool Patternable.output @@ -2061,8 +2062,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Patternable.help} ==================================================================== Patternable examples ==================================================================== @@ -2070,7 +2071,7 @@ See Also: o )show Patternable -@ +\end{chunk} {\bf See:} \pageto{ComplexCategory}{COMPCAT} @@ -2095,7 +2096,7 @@ convert : % -> Pattern Float if R has KONVERT PATTERN FLOAT \end{verbatim} -<>= +\begin{chunk}{category PATAB Patternable} )abbrev category PATAB Patternable ++ Category of sets that can be converted to useful patterns ++ Author: Manuel Bronstein @@ -2113,14 +2114,14 @@ if R has ConvertibleTo Pattern Float then ConvertibleTo Pattern Float -@ -<>= +\end{chunk} +\begin{chunk}{PATAB.dotabb} "PATAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=PATAB"]; "PATAB" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{PATAB.dotfull} "Patternable(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PATAB"]; "Patternable(a:Type)" -> "Category" @@ -2137,8 +2138,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=PATAB"]; "Patternable(CommutativeRing)" -> "Patternable(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{PATAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2150,12 +2151,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PrimitiveFunctionCategory}{PRIMCAT} \pagepic{ps/v102primitivefunctioncategory.ps}{PRIMCAT}{1.00} -<>= +\begin{chunk}{PrimitiveFunctionCategory.input} )set break resume )sys rm -f PrimitiveFunctionCategory.output )spool PrimitiveFunctionCategory.output @@ -2178,8 +2179,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PrimitiveFunctionCategory.help} ==================================================================== PrimitiveFunctionCategory examples ==================================================================== @@ -2187,7 +2188,7 @@ See Also: o )show PrimitiveFunctionCategory -@ +\end{chunk} {\bf See:} \pageto{LiouvillianFunctionCategory}{LFCAT} @@ -2205,7 +2206,7 @@ integral : (%,SegmentBinding %) -> % \end{verbatim} -<>= +\begin{chunk}{category PRIMCAT PrimitiveFunctionCategory} )abbrev category PRIMCAT PrimitiveFunctionCategory ++ Category for the integral functions ++ Author: Manuel Bronstein @@ -2221,20 +2222,20 @@ ++ integral(f, x = a..b) returns the formal definite integral ++ of f dx for x between \spad{a} and b. -@ -<>= +\end{chunk} +\begin{chunk}{PRIMCAT.dotabb} "PRIMCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PRIMCAT"]; "PRIMCAT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{PRIMCAT.dotfull} "PrimitiveFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PRIMCAT"]; "PrimitiveFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{PRIMCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2246,12 +2247,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RadicalCategory}{RADCAT} \pagepic{ps/v102radicalcategory.ps}{RADCAT}{1.00} -<>= +\begin{chunk}{RadicalCategory.input} )set break resume )sys rm -f RadicalCategory.output )spool RadicalCategory.output @@ -2274,8 +2275,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RadicalCategory.help} ==================================================================== RadicalCategory examples ==================================================================== @@ -2283,7 +2284,7 @@ See Also: o )show RadicalCategory -@ +\end{chunk} {\bf See:} \pageto{AlgebraicallyClosedField}{ACF} @@ -2314,7 +2315,7 @@ sqrt : % -> % \end{verbatim} -<>= +\begin{chunk}{category RADCAT RadicalCategory} )abbrev category RADCAT RadicalCategory ++ Author: ++ Date Created: @@ -2336,20 +2337,20 @@ sqrt x == x ** inv(2::Fraction(Integer)) nthRoot(x, n) == x ** inv(n::Fraction(Integer)) -@ -<>= +\end{chunk} +\begin{chunk}{RADCAT.dotabb} "RADCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=RADCAT"]; "RADCAT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{RADCAT.dotfull} "RadicalCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=RADCAT"]; "RadicalCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{RADCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2361,12 +2362,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RetractableTo}{RETRACT} \pagepic{ps/v102retractableto.ps}{RETRACT}{1.00} -<>= +\begin{chunk}{RetractableTo.input} )set break resume )sys rm -f RetractableTo.output )spool RetractableTo.output @@ -2389,8 +2390,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RetractableTo.help} ==================================================================== RetractableTo examples ==================================================================== @@ -2398,7 +2399,7 @@ See Also: o )show RetractableTo -@ +\end{chunk} {\bf See:} \pageto{DifferentialPolynomialCategory}{DPOLCAT} @@ -2441,7 +2442,7 @@ retract : % -> S \end{verbatim} -<>= +\begin{chunk}{category RETRACT RetractableTo} )abbrev category RETRACT RetractableTo ++ Category for retract ++ Author: ??? @@ -2466,14 +2467,14 @@ (u:=retractIfCan s) case "failed" => error "not retractable" u -@ -<>= +\end{chunk} +\begin{chunk}{RETRACT.dotabb} "RETRACT" [color=lightblue,href="bookvol10.2.pdf#nameddest=RETRACT"]; "RETRACT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{RETRACT.dotfull} "RetractableTo(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=RETRACT"]; "RetractableTo(a:Type)" -> "Category" @@ -2531,8 +2532,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=RETRACT"]; "RetractableTo(OrderedFreeMonoid(OrderedSet))" -> "RetractableTo(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{RETRACT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2544,12 +2545,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SpecialFunctionCategory}{SPFCAT} \pagepic{ps/v102specialfunctioncategory.ps}{SPFCAT}{1.00} -<>= +\begin{chunk}{SpecialFunctionCategory.input} )set break resume )sys rm -f SpecialFunctionCategory.output )spool SpecialFunctionCategory.output @@ -2576,8 +2577,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SpecialFunctionCategory.help} ==================================================================== SpecialFunctionCategory examples ==================================================================== @@ -2585,7 +2586,7 @@ See Also: o )show SpecialFunctionCategory -@ +\end{chunk} {\bf See:} \pagefrom{Category}{CATEGORY} @@ -2622,7 +2623,7 @@ polygamma : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category SPFCAT SpecialFunctionCategory} )abbrev category SPFCAT SpecialFunctionCategory ++ Category for the other special functions ++ Author: Manuel Bronstein @@ -2659,20 +2660,20 @@ airyBi: $ -> $ ++ airyBi(x) is the Airy function \spad{Bi(x)}. -@ -<>= +\end{chunk} +\begin{chunk}{SPFCAT.dotabb} "SPFCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SPFCAT"]; "SPFCAT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{SPFCAT.dotfull} "SpecialFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=SPFCAT"]; "SpecialFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{SPFCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2684,7 +2685,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{TrigonometricFunctionCategory}{TRIGCAT} \pagepic{ps/v102trigonometricfunctioncategory.ps}{TRIGCAT}{1.00} @@ -2692,7 +2693,7 @@ The {\tt csc} and {\tt sec} functions were modified to include an intermediate test to check that the argument has a reciprocal values. -<>= +\begin{chunk}{TrigonometricFunctionCategory.input} )set break resume )sys rm -f TrigonometricFunctionCategory.output )spool TrigonometricFunctionCategory.output @@ -2716,8 +2717,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TrigonometricFunctionCategory.help} ==================================================================== TrigonometricFunctionCategory examples ==================================================================== @@ -2725,7 +2726,7 @@ See Also: o )show TrigonometricFunctionCategory -@ +\end{chunk} {\bf See:} \pageto{TranscendentalFunctionCategory}{TRANFUN} @@ -2756,7 +2757,7 @@ tan : % -> % \end{verbatim} -<>= +\begin{chunk}{category TRIGCAT TrigonometricFunctionCategory} )abbrev category TRIGCAT TrigonometricFunctionCategory ++ Category for the trigonometric functions ++ Author: ??? @@ -2783,20 +2784,20 @@ tan x == sin x * sec x cot x == cos x * csc x -@ -<>= +\end{chunk} +\begin{chunk}{TRIGCAT.dotabb} "TRIGCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=TRIGCAT"]; "TRIGCAT" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{TRIGCAT.dotfull} "TrigonometricFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=TRIGCAT"]; "TrigonometricFunctionCategory()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{TRIGCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2808,7 +2809,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Type}{TYPE} \pagepic{ps/v102type.ps}{TYPE}{1.00} @@ -2826,7 +2827,7 @@ \item {\bf nil} \end{itemize} -<>= +\begin{chunk}{category TYPE Type} )abbrev category TYPE Type ++ The new fundamental Type (keeping Object for 1.5 as well) ++ Author: Richard Jenks @@ -2837,18 +2838,18 @@ Type(): Category == with nil -@ -<>= +\end{chunk} +\begin{chunk}{TYPE.dotabb} "TYPE" [color=lightblue,href="bookvol10.2.pdf#nameddest=TYPE"]; "TYPE" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{TYPE.dotfull} "Type()" [color=lightblue,href="bookvol10.2.pdf#nameddest=TYPE"]; "Type()" -> "Category" -@ -<>= +\end{chunk} +\begin{chunk}{TYPE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -2860,13 +2861,13 @@ "Category" [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 2} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Aggregate}{AGG} \pagepic{ps/v102agg.ps}{AGG}{1.00} -<>= +\begin{chunk}{Aggregate.input} )set break resume )sys rm -f Aggregate.output )spool Aggregate.output @@ -2894,8 +2895,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Aggregate.help} ==================================================================== Aggregate examples ==================================================================== @@ -2903,7 +2904,7 @@ See Also: o )show Aggregate -@ +\end{chunk} {\bf See:} \pageto{HomogeneousAggregate}{HOAGG} @@ -2941,7 +2942,7 @@ size? : (%,NonNegativeInteger) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category AGG Aggregate} )abbrev category AGG Aggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -2994,19 +2995,19 @@ more?(a,n) == #a > n size?(a,n) == #a = n -@ -<>= +\end{chunk} +\begin{chunk}{AGG.dotabb} "AGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=AGG"]; "AGG" -> "TYPE" -@ -<>= +\end{chunk} +\begin{chunk}{AGG.dotfull} "Aggregate()" [color=lightblue,href="bookvol10.2.pdf#nameddest=AGG"]; "Aggregate()" -> "Type()" -@ -<>= +\end{chunk} +\begin{chunk}{AGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3021,12 +3022,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CombinatorialOpsCategory}{COMBOPC} \pagepic{ps/v102combinatorialopscategory.ps}{COMBOPC}{1.00} -<>= +\begin{chunk}{CombinatorialOpsCategory.input} )set break resume )sys rm -f CombinatorialOpsCategory.output )spool CombinatorialOpsCategory.output @@ -3053,8 +3054,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CombinatorialOpsCategory.help} ==================================================================== CombinatorialOpsCategory examples ==================================================================== @@ -3062,7 +3063,7 @@ See Also: o )show CombinatorialOpsCategory -@ +\end{chunk} {\bf See:} \pagefrom{CombinatorialFunctionCategory}{CFCAT} @@ -3095,7 +3096,7 @@ permutation : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category COMBOPC CombinatorialOpsCategory} )abbrev category COMBOPC CombinatorialOpsCategory ++ Category for summations and products ++ Author: Manuel Bronstein @@ -3126,20 +3127,20 @@ ++ product(f(n), n = a..b) returns f(a) * ... * f(b) as a ++ formal product; -@ -<>= +\end{chunk} +\begin{chunk}{COMBOPC.dotabb} "COMBOPC" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMBOPC"]; "COMBOPC" -> "CFCAT" -@ -<>= +\end{chunk} +\begin{chunk}{COMBOPC.dotfull} "CombinatorialOpsCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMBOPC"]; "CombinatorialOpsCategory()" -> "CombinatorialFunctionCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{COMBOPC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3154,12 +3155,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{EltableAggregate}{ELTAGG} \pagepic{ps/v102eltableaggregate.ps}{ELTAGG}{0.75} -<>= +\begin{chunk}{EltableAggregate.input} )set break resume )sys rm -f EltableAggregate.output )spool EltableAggregate.output @@ -3184,8 +3185,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{EltableAggregate.help} ==================================================================== EltableAggregate examples ==================================================================== @@ -3193,7 +3194,7 @@ See Also: o )show EltableAggregate -@ +\end{chunk} {\bf See:} \pageto{IndexedAggregate}{IXAGG} @@ -3234,7 +3235,7 @@ ?.? : (%,Dom) -> Im \end{verbatim} -<>= +\begin{chunk}{category ELTAGG EltableAggregate} )abbrev category ELTAGG EltableAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -3284,20 +3285,20 @@ if % has shallowlyMutable then qsetelt_!(a, x, y) == (a.x := y) -@ -<>= +\end{chunk} +\begin{chunk}{ELTAGG.dotabb} "ELTAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELTAGG"]; "ELTAGG" -> "ELTAB" -@ -<>= +\end{chunk} +\begin{chunk}{ELTAGG.dotfull} "EltableAggregate(a:SetCategory,b:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELTAGG"]; "EltableAggregate(a:SetCategory,b:Type)" -> "Eltable(a:SetCategory,b:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{ELTAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3312,12 +3313,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Evalable}{EVALAB} \pagepic{ps/v102evalable.ps}{EVALAB}{1.00} -<>= +\begin{chunk}{Evalable.input} )set break resume )sys rm -f Evalable.output )spool Evalable.output @@ -3340,8 +3341,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Evalable.help} ==================================================================== Evalable examples ==================================================================== @@ -3349,7 +3350,7 @@ See Also: o )show Evalable -@ +\end{chunk} {\bf See:} \pageto{ExpressionSpace}{ES} @@ -3379,7 +3380,7 @@ eval : (%,R,R) -> % \end{verbatim} -<>= +\begin{chunk}{category EVALAB Evalable} )abbrev category EVALAB Evalable ++ Author: ++ Date Created: @@ -3405,14 +3406,14 @@ eval(f:$, eq:Equation R) == eval(f, [eq]) eval(f:$, xs:List R,vs:List R) == eval(f,[x=v for x in xs for v in vs]) -@ -<>= +\end{chunk} +\begin{chunk}{EVALAB.dotabb} "EVALAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=EVALAB"]; "EVALAB" -> "IEVALAB" -@ -<>= +\end{chunk} +\begin{chunk}{EVALAB.dotfull} "Evalable(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=EVALAB"]; "Evalable(a:SetCategory)" -> "InnerEvalable(a:SetCategory,b:SetCategory)" @@ -3431,8 +3432,8 @@ "Evalable(PolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet))" -> "Evalable(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{EVALAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3451,12 +3452,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranProgramCategory}{FORTCAT} \pagepic{ps/v102fortranprogramcategory.ps}{FORTCAT}{1.00} -<>= +\begin{chunk}{FortranProgramCategory.input} )set break resume )sys rm -f FortranProgramCategory.output )spool FortranProgramCategory.output @@ -3478,8 +3479,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranProgramCategory.help} ==================================================================== FortranProgramCategory examples ==================================================================== @@ -3487,7 +3488,7 @@ See Also: o )show FortranProgramCategory -@ +\end{chunk} {\bf See:} \pageto{FortranFunctionCategory}{FORTFN} @@ -3520,7 +3521,7 @@ coerce : % -> OutputForm \end{verbatim} -<>= +\begin{chunk}{category FORTCAT FortranProgramCategory} )abbrev category FORTCAT FortranProgramCategory ++ Author: Mike Dewar ++ Date Created: November 1992 @@ -3540,22 +3541,22 @@ ++ \axiom{outputAsFortran(u)} translates \axiom{u} into a legal FORTRAN ++ subprogram. -@ -<>= +\end{chunk} +\begin{chunk}{FORTCAT.dotabb} "FORTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FORTCAT"]; "FORTCAT" -> "KOERCE" "FORTCAT" -> "TYPE" -@ -<>= +\end{chunk} +\begin{chunk}{FORTCAT.dotfull} "FortranProgramCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FORTCAT"]; "FortranProgramCategory()" -> "Type()" "FortranProgramCategory()" -> "CoercibleTo(OutputForm)" -@ -<>= +\end{chunk} +\begin{chunk}{FORTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3577,12 +3578,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FullyRetractableTo}{FRETRCT} \pagepic{ps/v102fullyretractableto.ps}{FRETRCT}{1.00} -<>= +\begin{chunk}{FullyRetractableTo.input} )set break resume )sys rm -f FullyRetractableTo.output )spool FullyRetractableTo.output @@ -3611,8 +3612,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FullyRetractableTo.help} ==================================================================== FullyRetractableTo examples ==================================================================== @@ -3620,7 +3621,7 @@ See Also: o )show FullyRetractableTo -@ +\end{chunk} {\bf See:} \pageto{ComplexCategory}{COMPCAT} @@ -3666,7 +3667,7 @@ retractIfCan : % -> Union(S,"failed") \end{verbatim} -<>= +\begin{chunk}{category FRETRCT FullyRetractableTo} )abbrev category FRETRCT FullyRetractableTo ++ Author: Manuel Bronstein ++ Date Created: March 1990 @@ -3700,14 +3701,14 @@ (u:=retractIfCan(r)@Union(S,"failed")) case "failed"=>"failed" retractIfCan(u::S) -@ -<>= +\end{chunk} +\begin{chunk}{FRETRCT.dotabb} "FRETRCT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FRETRCT"]; "FRETRCT" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{FRETRCT.dotfull} "FullyRetractableTo(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FRETRCT"]; "FullyRetractableTo(a:Type)" -> "RetractableTo(a:Type)" @@ -3728,8 +3729,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=FRETRCT"]; "FullyRetractableTo(Fraction(Integer))" -> "FullyRetractableTo(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{FRETRCT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3744,12 +3745,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FullyPatternMatchable}{FPATMAB} \pagepic{ps/v102fullypatternmatchable.ps}{FPATMAB}{1.00} -<>= +\begin{chunk}{FullyPatternMatchable.input} )set break resume )sys rm -f FullyPatternMatchable.output )spool FullyPatternMatchable.output @@ -3777,8 +3778,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FullyPatternMatchable.help} ==================================================================== FullyPatternMatchable examples ==================================================================== @@ -3786,7 +3787,7 @@ See Also: o )show FullyPatternMatchable -@ +\end{chunk} {\bf See:} \pageto{ComplexCategory}{COMPCAT} @@ -3843,7 +3844,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category FPATMAB FullyPatternMatchable} )abbrev category FPATMAB FullyPatternMatchable ++ Category of sets that can be pattern-matched on ++ Author: Manuel Bronstein @@ -3859,14 +3860,14 @@ if R has PatternMatchable Integer then PatternMatchable Integer if R has PatternMatchable Float then PatternMatchable Float -@ -<>= +\end{chunk} +\begin{chunk}{FPATMAB.dotabb} "FPATMAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPATMAB"]; "FPATMAB" -> "TYPE" -@ -<>= +\end{chunk} +\begin{chunk}{FPATMAB.dotfull} "FullyPatternMatchable(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPATMAB"]; "FullyPatternMatchable(a:Type)" -> "Type()" @@ -3886,8 +3887,8 @@ "FullyPatternMatchable(CommutativeRing)" -> "FullyPatternMatchable(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{FPATMAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -3902,12 +3903,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Logic}{LOGIC} \pagepic{ps/v102logic.ps}{LOGIC}{1.00} -<>= +\begin{chunk}{Logic.input} )set break resume )sys rm -f Logic.output )spool Logic.output @@ -3931,8 +3932,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Logic.help} ==================================================================== Logic examples ==================================================================== @@ -3940,7 +3941,7 @@ See Also: o )show Logic -@ +\end{chunk} {\bf See:} \pageto{BitAggregate}{BTAGG} @@ -3973,7 +3974,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category LOGIC Logic} )abbrev category LOGIC Logic ++ Author: ++ Date Created: @@ -3994,20 +3995,20 @@ add _\_/(x: %,y: %) == _~( _/_\(_~(x), _~(y))) -@ -<>= +\end{chunk} +\begin{chunk}{LOGIC.dotabb} "LOGIC" [color=lightblue,href="bookvol10.2.pdf#nameddest=LOGIC"]; "LOGIC" -> "BASTYPE" -@ -<>= +\end{chunk} +\begin{chunk}{LOGIC.dotfull} "Logic()" [color=lightblue,href="bookvol10.2.pdf#nameddest=LOGIC"]; "Logic()" -> "BasicType()" -@ -<>= +\end{chunk} +\begin{chunk}{LOGIC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4022,12 +4023,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PlottablePlaneCurveCategory}{PPCURVE} \pagepic{ps/v102plottableplanecurvecategory.ps}{PPCURVE}{1.00} -<>= +\begin{chunk}{PlottablePlaneCurveCategory.input} )set break resume )sys rm -f PlottablePlaneCurveCategory.output )spool PlottablePlaneCurveCategory.output @@ -4051,8 +4052,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PlottablePlaneCurveCategory.help} ==================================================================== PlottablePlaneCurveCategory examples ==================================================================== @@ -4060,7 +4061,7 @@ See Also: o )show PlottablePlaneCurveCategory -@ +\end{chunk} {\bf See:} \pagefrom{CoercibleTo}{KOERCE} @@ -4086,7 +4087,7 @@ coerce : % -> OutputForm \end{verbatim} -<>= +\begin{chunk}{category PPCURVE PlottablePlaneCurveCategory} )abbrev category PPCURVE PlottablePlaneCurveCategory ++ Author: Clifton J. Williamson ++ Date Created: 11 January 1990 @@ -4122,20 +4123,20 @@ ++ yRange(c) returns the range of the y-coordinates of the points ++ on the curve c. -@ -<>= +\end{chunk} +\begin{chunk}{PPCURVE.dotabb} "PPCURVE" [color=lightblue,href="bookvol10.2.pdf#nameddest=PPCURVE"]; "PPCURVE" -> "KOERCE" -@ -<>= +\end{chunk} +\begin{chunk}{PPCURVE.dotfull} "PlottablePlaneCurveCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PPCURVE"]; "PlottablePlaneCurveCategory()" -> "CoercibleTo(OutputForm)" -@ -<>= +\end{chunk} +\begin{chunk}{PPCURVE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4153,12 +4154,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PlottableSpaceCurveCategory}{PSCURVE} \pagepic{ps/v102plottablespacecurvecategory.ps}{PSCURVE}{1.00} -<>= +\begin{chunk}{PlottableSpaceCurveCategory.input} )set break resume )sys rm -f PlottableSpaceCurveCategory.output )spool PlottableSpaceCurveCategory.output @@ -4182,8 +4183,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PlottableSpaceCurveCategory.help} ==================================================================== PlottableSpaceCurveCategory examples ==================================================================== @@ -4191,7 +4192,7 @@ See Also: o )show PlottableSpaceCurveCategory -@ +\end{chunk} {\bf See:} \pagefrom{CoercibleTo}{KOERCE} @@ -4219,7 +4220,7 @@ coerce : % -> OutputForm \end{verbatim} -<>= +\begin{chunk}{category PSCURVE PlottableSpaceCurveCategory} )abbrev category PSCURVE PlottableSpaceCurveCategory ++ Author: Clifton J. Williamson ++ Date Created: 11 January 1990 @@ -4258,20 +4259,20 @@ ++ zRange(c) returns the range of the z-coordinates of the points ++ on the curve c. -@ -<>= +\end{chunk} +\begin{chunk}{PSCURVE.dotabb} "PSCURVE" [color=lightblue,href="bookvol10.2.pdf#nameddest=PSCURVE"]; "PSCURVE" -> "KOERCE" -@ -<>= +\end{chunk} +\begin{chunk}{PSCURVE.dotfull} "PlottableSpaceCurveCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PSCURVE"]; "PlottableSpaceCurveCategory()" -> "CoercibleTo(OutputForm)" -@ -<>= +\end{chunk} +\begin{chunk}{PSCURVE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4289,12 +4290,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RealConstant}{REAL} \pagepic{ps/v102realconstant.ps}{REAL}{1.00} -<>= +\begin{chunk}{RealConstant.input} )set break resume )sys rm -f RealConstant.output )spool RealConstant.output @@ -4316,8 +4317,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RealConstant.help} ==================================================================== RealConstant examples ==================================================================== @@ -4325,7 +4326,7 @@ See Also: o )show RealConstant -@ +\end{chunk} {\bf See:} \pageto{IntegerNumberSystem}{INS} @@ -4349,7 +4350,7 @@ convert : % -> Float \end{verbatim} -<>= +\begin{chunk}{category REAL RealConstant} )abbrev category REAL RealConstant ++ Author: ++ Date Created: @@ -4366,21 +4367,21 @@ RealConstant(): Category == Join(ConvertibleTo DoubleFloat, ConvertibleTo Float) -@ -<>= +\end{chunk} +\begin{chunk}{REAL.dotabb} "REAL" [color=lightblue,href="bookvol10.2.pdf#nameddest=REAL"]; "REAL" -> "KONVERT" -@ -<>= +\end{chunk} +\begin{chunk}{REAL.dotfull} "RealConstant()" [color=lightblue,href="bookvol10.2.pdf#nameddest=REAL"]; "RealConstant()" -> "ConvertibleTo(DoubleFloat)" "RealConstant()" -> "ConvertibleTo(Float)" -@ -<>= +\end{chunk} +\begin{chunk}{REAL.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4402,12 +4403,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SegmentCategory}{SEGCAT} \pagepic{ps/v102segmentcategory.ps}{SEGCAT}{1.00} -<>= +\begin{chunk}{SegmentCategory.input} )set break resume )sys rm -f SegmentCategory.output )spool SegmentCategory.output @@ -4433,8 +4434,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SegmentCategory.help} ==================================================================== SegmentCategory examples ==================================================================== @@ -4442,7 +4443,7 @@ See Also: o )show SegmentCategory -@ +\end{chunk} {\bf See:} \pageto{SegmentExpansionCategory}{SEGXCAT} @@ -4480,7 +4481,7 @@ ?..? : (S,S) -> % \end{verbatim} -<>= +\begin{chunk}{category SEGCAT SegmentCategory} )abbrev category SEGCAT SegmentCategory ++ Author: Stephen M. Watt ++ Date Created: December 1986 @@ -4524,14 +4525,14 @@ convert: S -> % ++ convert(i) creates the segment \spad{i..i}. -@ -<>= +\end{chunk} +\begin{chunk}{SEGCAT.dotabb} "SEGCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SEGCAT"]; "SEGCAT" -> "TYPE" -@ -<>= +\end{chunk} +\begin{chunk}{SEGCAT.dotfull} "SegmentCategory(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=SEGCAT"]; "SegmentCategory(a:Type)" -> "Type()" @@ -4540,8 +4541,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=SEGCAT"]; "SegmentCategory(OrderedRing)" -> "SegmentCategory(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{SEGCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4556,12 +4557,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SetCategory}{SETCAT} \pagepic{ps/v102setcategory.ps}{SETCAT}{1.00} -<>= +\begin{chunk}{SetCategory.input} )set break resume )sys rm -f SetCategory.output )spool SetCategory.output @@ -4585,8 +4586,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SetCategory.help} ==================================================================== SetCategory examples ==================================================================== @@ -4594,7 +4595,7 @@ See Also: o )show SetCategory -@ +\end{chunk} {\bf See:} \pageto{AbelianSemiGroup}{ABELSG} @@ -4649,7 +4650,7 @@ coerce : % -> OutputForm \end{verbatim} -<>= +\begin{chunk}{category SETCAT SetCategory} )abbrev category SETCAT SetCategory ++ Author: ++ Date Created: @@ -4678,22 +4679,22 @@ hash(s : %): SingleInteger == SXHASH(s)$Lisp latex(s : %): String == "\mbox{\bf Unimplemented}" -@ -<>= +\end{chunk} +\begin{chunk}{SETCAT.dotabb} "SETCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SETCAT"]; "SETCAT" -> "BASTYPE" "SETCAT" -> "KOERCE" -@ -<>= +\end{chunk} +\begin{chunk}{SETCAT.dotfull} "SetCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=SETCAT"]; "SetCategory()" -> "BasicType()" "SetCategory()" -> "CoercibleTo(OutputForm)" -@ -<>= +\end{chunk} +\begin{chunk}{SETCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4716,12 +4717,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{TranscendentalFunctionCategory}{TRANFUN} \pagepic{ps/v102transcendentalfunctioncategory.ps}{TRANFUN}{0.75} -<>= +\begin{chunk}{TranscendentalFunctionCategory.input} )set break resume )sys rm -f TranscendentalFunctionCategory.output )spool TranscendentalFunctionCategory.output @@ -4756,8 +4757,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TranscendentalFunctionCategory.help} ==================================================================== TranscendentalFunctionCategory examples ==================================================================== @@ -4765,7 +4766,7 @@ See Also: o )show TranscendentalFunctionCategory -@ +\end{chunk} The {\tt acsch}, {\tt asech}, and {\tt acoth} functions were modified to include an intermediate test to check that the argument has a reciprocal values. @@ -4868,7 +4869,7 @@ log : % -> % \end{verbatim} -<>= +\begin{chunk}{category TRANFUN TranscendentalFunctionCategory} )abbrev category TRANFUN TranscendentalFunctionCategory ++ Category for the transcendental elementary functions ++ Author: Manuel Bronstein @@ -4902,8 +4903,8 @@ acosh x == 2*log(sqrt((x+1)/2::$) + sqrt((x-1)/2::$)) atanh x == (log(1+x)-log(1-x))/2::$ -@ -<>= +\end{chunk} +\begin{chunk}{TRANFUN.dotabb} "TRANFUN" [color=lightblue,href="bookvol10.2.pdf#nameddest=TRANFUN"]; "TRANFUN" -> "TRIGCAT" @@ -4912,8 +4913,8 @@ "TRANFUN" -> "AHYP" "TRANFUN" -> "ELEMFUN" -@ -<>= +\end{chunk} +\begin{chunk}{TRANFUN.dotfull} "TranscendentalFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=TRANFUN"]; "TranscendentalFunctionCategory()" -> @@ -4927,8 +4928,8 @@ "TranscendentalFunctionCategory()" -> "ElementaryFunctionCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{TRANFUN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -4964,13 +4965,13 @@ "Category" [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 3} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AbelianSemiGroup}{ABELSG} \pagepic{ps/v102abeliansemigroup.ps}{ABELSG}{0.75} -<>= +\begin{chunk}{AbelianSemiGroup.input} )set break resume )sys rm -f AbelianSemiGroup.output )spool AbelianSemiGroup.output @@ -4995,8 +4996,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AbelianSemiGroup.help} ==================================================================== AbelianSemiGroup examples ==================================================================== @@ -5004,7 +5005,7 @@ See Also: o )show AbelianSemiGroup -@ +\end{chunk} {\bf See:} \pageto{AbelianMonoid}{ABELMON} @@ -5042,7 +5043,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category ABELSG AbelianSemiGroup} )abbrev category ABELSG AbelianSemiGroup ++ Author: ++ Date Created: @@ -5071,21 +5072,22 @@ if not (% has Ring) then n:PositiveInteger * x:% == double(n,x) -@ -<>= +\end{chunk} +\begin{chunk}{ABELSG.dotabb} "ABELSG" [color=lightblue,href="bookvol10.2.pdf#nameddest=ABELSG"]; "ABELSG" -> "SETCAT" "ABELSG" -> "REPDB" -@ -<>= +\end{chunk} +\begin{chunk}{ABELSG.dotfull} "AbelianSemiGroup()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ABELSG"]; "AbelianSemiGroup()" -> "SetCategory()" "AbelianSemiGroup()" -> "RepeatedDoubling(a:SetCategory)" -<>= +\end{chunk} +\begin{chunk}{ABELSG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -5120,11 +5122,11 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BlowUpMethodCategory}{BLMETCT} \pagepic{ps/v102blowupmethodcategory.ps}{BLMETCT}{0.75} -<>= +\begin{chunk}{BlowUpMethodCategory.input} )set break resume )sys rm -f BlowUpMethodCategory.output )spool BlowUpMethodCategory.output @@ -5153,8 +5155,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BlowUpMethodCategory.help} ==================================================================== BlowUpMethodCategory examples ==================================================================== @@ -5162,7 +5164,7 @@ See Also: o )show BlowUpMethodCategory -@ +\end{chunk} {\bf See:} @@ -5211,7 +5213,7 @@ latex : % -> String \end{verbatim} -<>= +\begin{chunk}{category BLMETCT BlowUpMethodCategory} )abbrev category BLMETCT BlowUpMethodCategory BlowUpMethodCategory:Category == SetCategory with @@ -5233,19 +5235,20 @@ quotValuation : % -> Integer type: % -> Union("left","center","right","vertical","horizontal") -@ -<>= +\end{chunk} +\begin{chunk}{BLMETCT.dotabb} "BLMETCT" [color=lightblue,href="bookvol10.2.pdf#nameddest=BLMETCT"]; "BLMETCT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{BLMETCT.dotfull} "BlowUpMethodCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=BLMETCT"]; "BlowUpMethodCategory()" -> "SetCategory()" -<>= +\end{chunk} +\begin{chunk}{BLMETCT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -5271,11 +5274,11 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DesingTreeCategory}{DSTRCAT} \pagepic{ps/v102desingtreecategory.eps}{DSTRCAT}{0.75} -<>= +\begin{chunk}{DesingTreeCategory.input} )set break resume )sys rm -f DesingTreeCategory.output )spool DesingTreeCategory.output @@ -5331,8 +5334,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DesingTreeCategory.help} ==================================================================== DesingTreeCategory examples ==================================================================== @@ -5340,7 +5343,7 @@ See Also: o )show DesingTreeCategory -@ +\end{chunk} {\bf See:} @@ -5451,7 +5454,7 @@ value : % -> S \end{verbatim} -<>= +\begin{chunk}{category DSTRCAT DesingTreeCategory} )abbrev category DSTRCAT DesingTreeCategory ++ Authors: Gaetan Hache ++ Date Created: jan 1998 @@ -5472,19 +5475,20 @@ tree: List(S) -> % ++ tree(l) creates a chain tree from the list l -@ -<>= +\end{chunk} +\begin{chunk}{DSTRCAT.dotabb} "DSTRCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DSTRCAT"]; "EVALAB" [color="#4488FF",href="bookvol10.2.pdf#nameddest=EVALAB"] "DSTRCAT" -> "EVALAB" -@ -<>= +\end{chunk} +\begin{chunk}{DSTRCAT.dotfull} "DesingTreeCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=DSTRCAT"]; "DesingTreeCategory()" -> "Evalable()" -<>= +\end{chunk} +\begin{chunk}{DSTRCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -5507,12 +5511,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranFunctionCategory}{FORTFN} \pagepic{ps/v102fortranfunctioncategory.ps}{FORTFN}{1.00} -<>= +\begin{chunk}{FortranFunctionCategory.input} )set break resume )sys rm -f FortranFunctionCategory.output )spool FortranFunctionCategory.output @@ -5546,8 +5550,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranFunctionCategory.help} ==================================================================== FortranFunctionCategory examples ==================================================================== @@ -5555,7 +5559,7 @@ See Also: o )show FortranFunctionCategory -@ +\end{chunk} {\bf See:} \pagefrom{FortranProgramCategory}{FORTCAT} @@ -5599,7 +5603,7 @@ outputAsFortran : % -> Void \end{verbatim} -<>= +\begin{chunk}{category FORTFN FortranFunctionCategory} )abbrev category FORTFN FortranFunctionCategory ++ Author: Mike Dewar ++ Date Created: 13 January 1994 @@ -5660,20 +5664,20 @@ -- NB: These ASPs also have a coerce from an appropriate instantiation -- of FortranExpression. -@ -<>= +\end{chunk} +\begin{chunk}{FORTFN.dotabb} "FORTFN" [color=lightblue,href="bookvol10.2.pdf#nameddest=FORTFN"]; "FORTFN" -> "FORTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FORTFN.dotfull} "FortranFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FORTFN"]; "FortranFunctionCategory()" -> "FortranProgramCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FORTFN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -5698,12 +5702,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranMatrixCategory}{FMC} \pagepic{ps/v102fortranmatrixcategory.ps}{FMC}{1.00} -<>= +\begin{chunk}{FortranMatrixCategory.input} )set break resume )sys rm -f FortranMatrixCategory.output )spool FortranMatrixCategory.output @@ -5728,8 +5732,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranMatrixCategory.help} ==================================================================== FortranMatrixCategory examples ==================================================================== @@ -5737,7 +5741,7 @@ See Also: o )show FortranMatrixCategory -@ +\end{chunk} {\bf See:} \pagefrom{FortranProgramCategory}{FORTCAT} @@ -5768,7 +5772,7 @@ outputAsFortran : % -> Void \end{verbatim} -<>= +\begin{chunk}{category FMC FortranMatrixCategory} )abbrev category FMC FortranMatrixCategory ++ Author: Mike Dewar ++ Date Created: 21 March 1994 @@ -5794,20 +5798,20 @@ ++ \spadtype{List FortranCode} and uses it as the body of the ASP, ++ making the declarations in the \spadtype{SymbolTable} component. -@ -<>= +\end{chunk} +\begin{chunk}{FMC.dotabb} "FMC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMC"]; "FMC" -> "FORTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FMC.dotfull} "FortranMatrixCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMC"]; "FortranMatrixCategory()" -> "FortranProgramCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FMC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -5832,12 +5836,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranMatrixFunctionCategory}{FMFUN} \pagepic{ps/v102fortranmatrixfunctioncategory.ps}{FMFUN}{1.00} -<>= +\begin{chunk}{FortranMatrixFunctionCategory.input} )set break resume )sys rm -f FortranMatrixFunctionCategory.output )spool FortranMatrixFunctionCategory.output @@ -5873,8 +5877,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranMatrixFunctionCategory.help} ==================================================================== FortranMatrixFunctionCategory examples ==================================================================== @@ -5882,7 +5886,7 @@ See Also: o )show FortranMatrixFunctionCategory -@ +\end{chunk} {\bf See:} \pagefrom{FortranProgramCategory}{FORTCAT} @@ -5926,7 +5930,7 @@ outputAsFortran : % -> Void \end{verbatim} -<>= +\begin{chunk}{category FMFUN FortranMatrixFunctionCategory} )abbrev category FMFUN FortranMatrixFunctionCategory ++ Author: Mike Dewar ++ Date Created: March 18 1994 @@ -5988,20 +5992,20 @@ -- NB: These ASPs also have a coerce from an appropriate instantiation -- of Matrix FortranExpression. -@ -<>= +\end{chunk} +\begin{chunk}{FMFUN.dotabb} "FMFUN" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMFUN"]; "FMFUN" -> "FORTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FMFUN.dotfull} "FortranMatrixFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMFUN"]; "FortranMatrixFunctionCategory()" -> "FortranProgramCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FMFUN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -6026,12 +6030,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranVectorCategory}{FVC} \pagepic{ps/v102fortranvectorcategory.ps}{FVC}{1.00} -<>= +\begin{chunk}{FortranVectorCategory.input} )set break resume )sys rm -f FortranVectorCategory.output )spool FortranVectorCategory.output @@ -6056,8 +6060,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranVectorCategory.help} ==================================================================== FortranVectorCategory examples ==================================================================== @@ -6065,7 +6069,7 @@ See Also: o )show FortranVectorCategory -@ +\end{chunk} {\bf See:} \pagefrom{FortranProgramCategory}{FORTCAT} @@ -6094,7 +6098,7 @@ outputAsFortran : % -> Void \end{verbatim} -<>= +\begin{chunk}{category FVC FortranVectorCategory} )abbrev category FVC FortranVectorCategory ++ Author: Mike Dewar ++ Date Created: October 1993 @@ -6120,20 +6124,20 @@ ++ \spadtype{List FortranCode} and uses it as the body of the ASP, ++ making the declarations in the \spadtype{SymbolTable} component. -@ -<>= +\end{chunk} +\begin{chunk}{FVC.dotabb} "FVC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FVC"]; "FVC" -> "FORTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FVC.dotfull} "FortranVectorCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FVC"]; "FortranVectorCategory()" -> "FortranProgramCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FVC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -6158,12 +6162,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranVectorFunctionCategory}{FVFUN} \pagepic{ps/v102fortranvectorfunctioncategory.ps}{FVFUN}{1.00} -<>= +\begin{chunk}{FortranVectorFunctionCategory.input} )set break resume )sys rm -f FortranVectorFunctionCategory.output )spool FortranVectorFunctionCategory.output @@ -6199,8 +6203,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranVectorFunctionCategory.help} ==================================================================== FortranVectorFunctionCategory examples ==================================================================== @@ -6208,7 +6212,7 @@ See Also: o )show FortranVectorFunctionCategory -@ +\end{chunk} {\bf See:} \pagefrom{FortranProgramCategory}{FORTCAT} @@ -6252,7 +6256,7 @@ outputAsFortran : % -> Void \end{verbatim} -<>= +\begin{chunk}{category FVFUN FortranVectorFunctionCategory} )abbrev category FVFUN FortranVectorFunctionCategory ++ Author: Mike Dewar ++ Date Created: 11 March 1994 @@ -6313,20 +6317,20 @@ -- NB: These ASPs also have a coerce from an appropriate instantiation -- of Vector FortranExpression. -@ -<>= +\end{chunk} +\begin{chunk}{FVFUN.dotabb} "FVFUN" [color=lightblue,href="bookvol10.2.pdf#nameddest=FVFUN"]; "FVFUN" -> "FORTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FVFUN.dotfull} "FortranVectorFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FVFUN"]; "FortranVectorFunctionCategory()" -> "FortranProgramCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FVFUN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -6351,12 +6355,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FullyEvalableOver}{FEVALAB} \pagepic{ps/v102fullyevalableover.ps}{FEVALAB}{0.75} -<>= +\begin{chunk}{FullyEvalableOver.input} )set break resume )sys rm -f FullyEvalableOver.output )spool FullyEvalableOver.output @@ -6385,8 +6389,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FullyEvalableOver.help} ==================================================================== FullyEvalableOver examples ==================================================================== @@ -6394,7 +6398,7 @@ See Also: o )show FullyEvalableOver -@ +\end{chunk} {\bf See:} \pageto{ComplexCategory}{COMPCAT} @@ -6435,7 +6439,7 @@ eval : (%,Symbol,R) -> % if R has IEVALAB(SYMBOL,R) \end{verbatim} -<>= +\begin{chunk}{category FEVALAB FullyEvalableOver} )abbrev category FEVALAB FullyEvalableOver ++ Author: ++ Date Created: @@ -6467,8 +6471,8 @@ if R has InnerEvalable(Symbol, R) then eval(x:$, ls:List Symbol, lv:List R) == map(y +-> eval(y, ls, lv), x) -@ -<>= +\end{chunk} +\begin{chunk}{FEVALAB.dotabb} "FEVALAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=FEVALAB"]; "FEVALAB" -> "ELTAB" @@ -6476,8 +6480,8 @@ "FEVALAB" -> "IEVALAB" "FEVALAB" -> "CATEGORY" -@ -<>= +\end{chunk} +\begin{chunk}{FEVALAB.dotfull} "FullyEvalableOver(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FEVALAB"]; "FullyEvalableOver(a:SetCategory)" -> "Eltable(a:SetCategory,b:Type)" @@ -6494,8 +6498,8 @@ "FullyEvalableOver(CommutativeRing)" -> "FullyEvalableOver(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{FEVALAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -6528,12 +6532,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FileCategory}{FILECAT} \pagepic{ps/v102filecategory.ps}{FILECAT}{1.00} -<>= +\begin{chunk}{FileCategory.input} )set break resume )sys rm -f FileCategory.output )spool FileCategory.output @@ -6561,8 +6565,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FileCategory.help} ==================================================================== FileCategory examples ==================================================================== @@ -6570,7 +6574,7 @@ See Also: o )show FileCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -6613,7 +6617,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category FILECAT FileCategory} )abbrev category FILECAT FileCategory ++ Author: Stephen M. Watt, Victor Miller ++ Date Created: @@ -6672,20 +6676,20 @@ flush: % -> Void ++ flush(f) makes sure that buffered data is written out -@ -<>= +\end{chunk} +\begin{chunk}{FILECAT.dotabb} "FILECAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FILECAT"]; "FILECAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FILECAT.dotfull} "FileCategory(a:SetCategory,b:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FILECAT"]; "FileCategory(a:SetCategory,b:SetCategory)" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FILECAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -6711,12 +6715,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Finite}{FINITE} \pagepic{ps/v102finite.ps}{FINITE}{1.00} -<>= +\begin{chunk}{Finite.input} )set break resume )sys rm -f Finite.output )spool Finite.output @@ -6742,8 +6746,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Finite.help} ==================================================================== Finite examples ==================================================================== @@ -6751,7 +6755,7 @@ See Also: o )show Finite -@ +\end{chunk} {\bf See:} \pageto{DirectProductCategory}{DIRPCAT} @@ -6790,7 +6794,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category FINITE Finite} )abbrev category FINITE Finite ++ Author: ++ Date Created: @@ -6826,20 +6830,20 @@ random: () -> % ++ random() returns a random element from the set. -@ -<>= +\end{chunk} +\begin{chunk}{FINITE.dotabb} "FINITE" [color=lightblue,href="bookvol10.2.pdf#nameddest=FINITE"]; "FINITE" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FINITE.dotfull} "Finite()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FINITE"]; "Finite()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FINITE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -6865,12 +6869,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FileNameCategory}{FNCAT} \pagepic{ps/v102filenamecategory.ps}{FNCAT}{0.70} -<>= +\begin{chunk}{FileNameCategory.input} )set break resume )sys rm -f FileNameCategory.output )spool FileNameCategory.output @@ -6899,8 +6903,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FileNameCategory.help} ==================================================================== FileNameCategory examples ==================================================================== @@ -6908,7 +6912,7 @@ See Also: o )show FileNameCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -6954,7 +6958,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category FNCAT FileNameCategory} )abbrev category FNCAT FileNameCategory ++ Author: Stephen M. Watt ++ Date Created: 1985 @@ -7003,20 +7007,20 @@ ++ An error occurs if a new file cannot be written in the given ++ directory. -@ -<>= +\end{chunk} +\begin{chunk}{FNCAT.dotabb} "FNCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FNCAT"]; "FNCAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{FNCAT.dotfull} "FileNameCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FNCAT"]; "FileNameCategory()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{FNCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -7043,12 +7047,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{GradedModule}{GRMOD} \pagepic{ps/v102gradedmodule.ps}{GRMOD}{1.00} -<>= +\begin{chunk}{GradedModule.input} )set break resume )sys rm -f GradedModule.output )spool GradedModule.output @@ -7075,8 +7079,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GradedModule.help} ==================================================================== GradedModule examples ==================================================================== @@ -7084,7 +7088,7 @@ See Also: o )show GradedModule -@ +\end{chunk} {\bf See:} \pageto{GradedAlgebra}{GRALG} @@ -7130,7 +7134,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category GRMOD GradedModule} )abbrev category GRMOD GradedModule ++ Author: Stephen M. Watt ++ Date Created: May 20, 1991 @@ -7179,20 +7183,20 @@ add (x: %) - (y: %) == x+(-y) -@ -<>= +\end{chunk} +\begin{chunk}{GRMOD.dotabb} "GRMOD" [color=lightblue,href="bookvol10.2.pdf#nameddest=GRMOD"]; "GRMOD" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{GRMOD.dotfull} "GradedModule(a:CommutativeRing,b:AbelianMonoid)" [color=lightblue,href="bookvol10.2.pdf#nameddest=GRMOD"]; "GradedModule(a:CommutativeRing,b:AbelianMonoid)" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{GRMOD.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -7218,12 +7222,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{HomogeneousAggregate}{HOAGG} \pagepic{ps/v102homogeneousaggregate.ps}{HOAGG}{1.00} -<>= +\begin{chunk}{HomogeneousAggregate.input} )set break resume )sys rm -f HomogeneousAggregate.output )spool HomogeneousAggregate.output @@ -7268,8 +7272,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HomogeneousAggregate.help} ==================================================================== HomogeneousAggregate examples ==================================================================== @@ -7277,7 +7281,7 @@ See Also: o )show HomogeneousAggregate -@ +\end{chunk} {\bf See:} \pageto{BagAggregate}{BGAGG} @@ -7388,7 +7392,7 @@ latex : % -> String if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category HOAGG HomogeneousAggregate} )abbrev category HOAGG HomogeneousAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -7465,13 +7469,13 @@ bracket commaSeparate [a::OutputForm for a in parts x]$List(OutputForm) -@ -<>= +\end{chunk} +\begin{chunk}{HOAGG.dotabb} "HOAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=HOAGG"]; "HOAGG" -> "AGG" -@ -<>= +\end{chunk} +\begin{chunk}{HOAGG.dotfull} "HomogeneousAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=HOAGG"]; "HomogeneousAggregate(a:Type)" -> "Aggregate()" @@ -7481,8 +7485,8 @@ "HomogeneousAggregate(Ring)" -> "HomogeneousAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{HOAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -7518,12 +7522,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{IndexedDirectProductCategory}{IDPC} \pagepic{ps/v102liouvillianfunctioncategory.ps}{IDPC}{1.00} -<>= +\begin{chunk}{IndexedDirectProductCategory.input} )set break resume )sys rm -f IndexedDirectProductCategory.output )spool IndexedDirectProductCategory.output @@ -7549,8 +7553,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedDirectProductCategory.help} ==================================================================== IndexedDirectProductCategory examples ==================================================================== @@ -7558,7 +7562,7 @@ See Also: o )show IndexedDirectProductCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -7596,7 +7600,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category IDPC IndexedDirectProductCategory} )abbrev category IDPC IndexedDirectProductCategory ++ Author: James Davenport ++ Date Created: @@ -7633,21 +7637,21 @@ ++ leading coefficient/support pair from the element z. ++ Error: if z has no support. -@ -<>= +\end{chunk} +\begin{chunk}{IDPC.dotabb} "IDPC" [color=lightblue,href="bookvol10.2.pdf#nameddest=IDPC"]; "IDPC" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{IDPC.dotfull} "IndexedDirectProductCategory(a:SetCategory,b:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=IDPC"]; "IndexedDirectProductCategory(a:SetCategory,b:OrderedSet)" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{IDPC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -7674,12 +7678,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LiouvillianFunctionCategory}{LFCAT} \pagepic{ps/v102liouvillianfunctioncategory.ps}{LFCAT}{0.60} -<>= +\begin{chunk}{LiouvillianFunctionCategory.input} )set break resume )sys rm -f LiouvillianFunctionCategory.output )spool LiouvillianFunctionCategory.output @@ -7720,8 +7724,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LiouvillianFunctionCategory.help} ==================================================================== LiouvillianFunctionCategory examples ==================================================================== @@ -7729,7 +7733,7 @@ See Also: o )show LiouvillianFunctionCategory -@ +\end{chunk} {\bf See:} \pagefrom{PrimitiveFunctionCategory}{PRIMCAT} @@ -7827,7 +7831,7 @@ tanh : % -> % \end{verbatim} -<>= +\begin{chunk}{category LFCAT LiouvillianFunctionCategory} )abbrev category LFCAT LiouvillianFunctionCategory ++ Category for the transcendental Liouvillian functions ++ Author: Manuel Bronstein @@ -7863,22 +7867,22 @@ ++ fresnelC is the Fresnel integral C, defined by ++ C(x) = integrate(cos(t^2),t=0..x) -@ -<>= +\end{chunk} +\begin{chunk}{LFCAT.dotabb} "LFCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=LFCAT"]; "LFCAT" -> "PRIMCAT" "LFCAT" -> "TRANFUN" -@ -<>= +\end{chunk} +\begin{chunk}{LFCAT.dotfull} "LiouvillianFunctionCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=LFCAT"]; "LiouvillianFunctionCategory()" -> "PrimitiveFunctionCategory()" "LiouvillianFunctionCategory()" -> "TranscendentalFunctionCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{LFCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -7921,12 +7925,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Monad}{MONAD} \pagepic{ps/v102monad.ps}{MONAD}{0.70} -<>= +\begin{chunk}{Monad.input} )set break resume )sys rm -f Monad.output )spool Monad.output @@ -7953,8 +7957,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Monad.help} ==================================================================== Monad examples ==================================================================== @@ -7962,7 +7966,7 @@ See Also: o )show Monad -@ +\end{chunk} {\bf See:} \pageto{MonadWithUnit}{MONADWU} @@ -8003,7 +8007,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category MONAD Monad} )abbrev category MONAD Monad ++ Authors: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -8051,21 +8055,21 @@ for i in 1..(n-1) repeat res := a * res res -@ -<>= +\end{chunk} +\begin{chunk}{MONAD.dotabb} "MONAD" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONAD"]; "MONAD" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{MONAD.dotfull} "Monad()" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONAD"]; "Monad()" -> "SetCategory()" "Monad()" -> "RepeatedSquaring(Monad)" -@ -<>= +\end{chunk} +\begin{chunk}{MONAD.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -8100,12 +8104,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{NumericalIntegrationCategory}{NUMINT} \pagepic{ps/v102numericalintegrationcategory.ps}{NUMINT}{1.00} -<>= +\begin{chunk}{NumericalIntegrationCategory.input} )set break resume )sys rm -f NumericalIntegrationCategory.output )spool NumericalIntegrationCategory.output @@ -8133,8 +8137,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NumericalIntegrationCategory.help} ==================================================================== NumericalIntegrationCategory examples ==================================================================== @@ -8142,7 +8146,7 @@ See Also: o )show NumericalIntegrationCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -8201,7 +8205,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category NUMINT NumericalIntegrationCategory} )abbrev category NUMINT NumericalIntegrationCategory ++ Author: Brian Dupee ++ Date Created: February 1994 @@ -8257,20 +8261,20 @@ ++ numericalIntegration(args,hints) performs the integration of the ++ function given the strategy or method returned by \axiomFun{measure}. -@ -<>= +\end{chunk} +\begin{chunk}{NUMINT.dotabb} "NUMINT" [color=lightblue,href="bookvol10.2.pdf#nameddest=NUMINT"]; "NUMINT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{NUMINT.dotfull} "NumericalIntegrationCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=NUMINT"]; "NumericalIntegrationCategory()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{NUMINT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -8296,12 +8300,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{NumericalOptimizationCategory}{OPTCAT} \pagepic{ps/v102numericaloptimizationcategory.ps}{OPTCAT}{1.00} -<>= +\begin{chunk}{NumericalOptimizationCategory.input} )set break resume )sys rm -f NumericalOptimizationCategory.output )spool NumericalOptimizationCategory.output @@ -8329,8 +8333,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NumericalOptimizationCategory.help} ==================================================================== NumericalOptimizationCategory examples ==================================================================== @@ -8338,7 +8342,7 @@ See Also: o )show NumericalOptimizationCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -8392,7 +8396,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category OPTCAT NumericalOptimizationCategory} )abbrev category OPTCAT NumericalOptimizationCategory ++ Author: Brian Dupee ++ Date Created: January 1996 @@ -8447,20 +8451,20 @@ ++ numericalOptimization(args) performs the optimization of the ++ function given the strategy or method returned by \axiomFun{measure}. -@ -<>= +\end{chunk} +\begin{chunk}{OPTCAT.dotabb} "OPTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=OPTCAT"]; "OPTCAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{OPTCAT.dotfull} "NumericalOptimizationCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OPTCAT"]; "NumericalOptimizationCategory()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{OPTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -8486,12 +8490,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrdinaryDifferentialEquationsSolverCategory}{ODECAT} \pagepic{ps/v102ordinarydifferentialequationssolvercategory.ps}{ODECAT}{1.00} -<>= +\begin{chunk}{OrdinaryDifferentialEquationsSolverCategory.input} )set break resume )sys rm -f OrdinaryDifferentialEquationsSolverCategory.output )spool OrdinaryDifferentialEquationsSolverCategory.output @@ -8517,8 +8521,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrdinaryDifferentialEquationsSolverCategory.help} ==================================================================== OrdinaryDifferentialEquationsSolverCategory examples ==================================================================== @@ -8526,7 +8530,7 @@ See Also: o )show OrdinaryDifferentialEquationsSolverCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -8577,7 +8581,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category ODECAT OrdinaryDifferentialEquationsSolverCategory} )abbrev category ODECAT OrdinaryDifferentialEquationsSolverCategory ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -8615,20 +8619,20 @@ ++ ODESolve(args) performs the integration of the ++ function given the strategy or method returned by \axiomFun{measure}. -@ -<>= +\end{chunk} +\begin{chunk}{ODECAT.dotabb} "ODECAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=ODECAT"]; "ODECAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{ODECAT.dotfull} "OrdinaryDifferentialEquationsSolverCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ODECAT"]; "OrdinaryDifferentialEquationsSolverCategory()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{ODECAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -8655,12 +8659,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedSet}{ORDSET} \pagepic{ps/v102orderedset.ps}{ORDSET}{1.00} -<>= +\begin{chunk}{OrderedSet.input} )set break resume )sys rm -f OrderedSet.output )spool OrderedSet.output @@ -8687,8 +8691,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedSet.help} ==================================================================== OrderedSet examples ==================================================================== @@ -8696,7 +8700,7 @@ See Also: o )show OrderedSet -@ +\end{chunk} {\bf See:} \pageto{BitAggregate}{BTAGG} @@ -8751,7 +8755,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category ORDSET OrderedSet} )abbrev category ORDSET OrderedSet ++ Author: ++ Date Created: @@ -8794,20 +8798,20 @@ ((x: %) >= (y: %)) : Boolean == not (x < y) ((x: %) <= (y: %)) : Boolean == not (y < x) -@ -<>= +\end{chunk} +\begin{chunk}{ORDSET.dotabb} "ORDSET" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDSET"]; "ORDSET" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{ORDSET.dotfull} "OrderedSet()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDSET"]; "OrderedSet()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{ORDSET.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -8832,12 +8836,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PartialDifferentialEquationsSolverCategory}{PDECAT} \pagepic{ps/v102partialdifferentialequationssolvercategory.ps}{PDECAT}{1.00} -<>= +\begin{chunk}{PartialDifferentialEquationsSolverCategory.input} )set break resume )sys rm -f PartialDifferentialEquationsSolverCategory.output )spool PartialDifferentialEquationsSolverCategory.output @@ -8863,8 +8867,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PartialDifferentialEquationsSolverCategory.help} ==================================================================== PartialDifferentialEquationsSolverCategory examples ==================================================================== @@ -8872,7 +8876,7 @@ See Also: o )show PartialDifferentialEquationsSolverCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -8929,7 +8933,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category PDECAT PartialDifferentialEquationsSolverCategory} )abbrev category PDECAT PartialDifferentialEquationsSolverCategory ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -8991,20 +8995,20 @@ ++ PDESolve(args) performs the integration of the ++ function given the strategy or method returned by \axiomFun{measure}. -@ -<>= +\end{chunk} +\begin{chunk}{PDECAT.dotabb} "PDECAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PDECAT"]; "PDECAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{PDECAT.dotfull} "PartialDifferentialEquationsSolverCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PDECAT"]; "PartialDifferentialEquationsSolverCategory()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{PDECAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -9030,12 +9034,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PatternMatchable}{PATMAB} \pagepic{ps/v102patternmatchable.ps}{PATMAB}{1.00} -<>= +\begin{chunk}{PatternMatchable.input} )set break resume )sys rm -f PatternMatchable.output )spool PatternMatchable.output @@ -9060,8 +9064,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PatternMatchable.help} ==================================================================== PatternMatchable examples ==================================================================== @@ -9069,7 +9073,7 @@ See Also: o )show PatternMatchable -@ +\end{chunk} {\bf See:} \pageto{RealNumberSystem}{RNS} @@ -9102,7 +9106,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category PATMAB PatternMatchable} )abbrev category PATMAB PatternMatchable ++ Category of sets that can be pattern-matched on ++ Author: Manuel Bronstein @@ -9122,14 +9126,14 @@ ++ Initially, res is just the result of \spadfun{new} ++ which is an empty list of matches. -@ -<>= +\end{chunk} +\begin{chunk}{PATMAB.dotabb} "PATMAB" [color=lightblue,href="bookvol10.2.pdf#nameddest=PATMAB"]; "PATMAB" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{PATMAB.dotfull} "PatternMatchable(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PATMAB"]; "PatternMatchable(a:SetCategory)" -> "SetCategory()" @@ -9142,8 +9146,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=PATMAB"]; "PatternMatchable(Float)" -> "PatternMatchable(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{PATMAB.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -9170,12 +9174,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RealRootCharacterizationCategory}{RRCC} \pagepic{ps/v102realrootcharacterizationcategory.ps}{RRCC}{0.60} -<>= +\begin{chunk}{RealRootCharacterizationCategory.input} )set break resume )sys rm -f RealRootCharacterizationCategory.output )spool RealRootCharacterizationCategory.output @@ -9207,8 +9211,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RealRootCharacterizationCategory.help} ==================================================================== RealRootCharacterizationCategory examples ==================================================================== @@ -9216,7 +9220,7 @@ See Also: o )show RealRootCharacterizationCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -9268,7 +9272,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category RRCC RealRootCharacterizationCategory} )abbrev category RRCC RealRootCharacterizationCategory ++ Author: Renaud Rioboo ++ Date Created: summer 1992 @@ -9356,21 +9360,21 @@ d := principalIdeal([defPol,toInv]) d.coef.2 -@ -<>= +\end{chunk} +\begin{chunk}{RRCC.dotabb} "RRCC" [color=lightblue,href="bookvol10.2.pdf#nameddest=RRCC"]; "RRCC" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{RRCC.dotfull} "RealRootCharacterizationCategory(a:Join(OrderedRing,Field),b:UnivariatePolynomialCategory(a))" [color=lightblue,href="bookvol10.2.pdf#nameddest=RRCC"]; "RealRootCharacterizationCategory(a:Join(OrderedRing,Field),b:UnivariatePolynomialCategory(a))" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{RRCC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -9398,12 +9402,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SegmentExpansionCategory}{SEGXCAT} \pagepic{ps/v102segmentexpansioncategory.ps}{SEGXCAT}{0.75} -<>= +\begin{chunk}{SegmentExpansionCategory.input} )set break resume )sys rm -f SegmentExpansionCategory.output )spool SegmentExpansionCategory.output @@ -9430,8 +9434,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SegmentExpansionCategory.help} ==================================================================== SegmentExpansionCategory examples ==================================================================== @@ -9439,7 +9443,7 @@ See Also: o )show SegmentExpansionCategory -@ +\end{chunk} {\bf See:} \pagefrom{SegmentCategory}{SEGCAT} @@ -9486,7 +9490,7 @@ ?..? : (S,S) -> % \end{verbatim} -<>= +\begin{chunk}{category SEGXCAT SegmentExpansionCategory} )abbrev category SEGXCAT SegmentExpansionCategory ++ Author: Stephen M. Watt ++ Date Created: June 5, 1991 @@ -9518,21 +9522,21 @@ ++ to each of the succesive elements of the segment, that is, ++ \spad{[f(l), f(l+k), ..., f(lN)]}, where \spad{lN <= h < lN+k}. -@ -<>= +\end{chunk} +\begin{chunk}{SEGXCAT.dotabb} "SEGXCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SEGXCAT"]; "SEGXCAT" -> "SEGCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SEGXCAT.dotfull} "SegmentExpansionCategory(a:OrderedRing,b:StreamAggregate(OrderedRing))" [color=lightblue,href="bookvol10.2.pdf#nameddest=SEGXCAT"]; "SegmentExpansionCategory(a:OrderedRing,b:StreamAggregate(OrderedRing))" -> "SegmentCategory(OrderedRing)" -@ -<>= +\end{chunk} +\begin{chunk}{SEGXCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -9556,7 +9560,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SemiGroup}{SGROUP} \pagepic{ps/v102semigroup.ps}{SGROUP}{0.75} @@ -9568,7 +9572,7 @@ \item associative. $\forall a,b,c \in S, a*(b*c) = (a*b)*c$ \end{itemize} -<>= +\begin{chunk}{SemiGroup.input} )set break resume )sys rm -f SemiGroup.output )spool SemiGroup.output @@ -9593,8 +9597,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SemiGroup.help} ==================================================================== SemiGroup examples ==================================================================== @@ -9602,7 +9606,7 @@ See Also: o )show SemiGroup -@ +\end{chunk} {\bf See:} @@ -9644,7 +9648,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category SGROUP SemiGroup} )abbrev category SGROUP SemiGroup ++ Author: ++ Date Created: @@ -9676,21 +9680,21 @@ x:% ** n:PositiveInteger == expt(x,n) _^(x:%, n:PositiveInteger):% == x ** n -@ -<>= +\end{chunk} +\begin{chunk}{SGROUP.dotabb} "SGROUP" [color=lightblue,href="bookvol10.2.pdf#nameddest=SGROUP"]; "SGROUP" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SGROUP.dotfull} "SemiGroup()" [color=lightblue,href="bookvol10.2.pdf#nameddest=SGROUP"]; "SemiGroup()" -> "SetCategory()" "SemiGroup()" -> "RepeatedSquaring(a:SemiGroup)" -@ -<>= +\end{chunk} +\begin{chunk}{SGROUP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -9725,12 +9729,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SetCategoryWithDegree}{SETCATD} \pagepic{ps/v102setcategorywithdegree.ps}{SETCATD}{0.75} -<>= +\begin{chunk}{SetCategoryWithDegree.input} )set break resume )sys rm -f SetCategoryWithDegree.output )spool SetCategoryWithDegree.output @@ -9754,8 +9758,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SetCategoryWithDegree.help} ==================================================================== SetCategoryWithDegree examples ==================================================================== @@ -9763,7 +9767,7 @@ See Also: o )show SetCategoryWithDegree -@ +\end{chunk} {\bf See:} @@ -9797,7 +9801,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category SETCATD SetCategoryWithDegree} )abbrev category SETCATD SetCategoryWithDegree ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -9808,20 +9812,20 @@ SetCategoryWithDegree:Category == SetCategory with degree: % -> PositiveInteger -@ -<>= +\end{chunk} +\begin{chunk}{SETCATD.dotabb} "SETCATD" [color=lightblue,href="bookvol10.2.pdf#nameddest=SETCATD"]; "SETCATD" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SETCATD.dotfull} "SetCategoryWithDegree()" [color=lightblue,href="bookvol10.2.pdf#nameddest=SETCATD"]; "SetCategoryWithDegree()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{SETCATD.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -9849,12 +9853,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SExpressionCategory}{SEXCAT} \pagepic{ps/v102sexpressioncategory.ps}{SEXCAT}{0.60} -<>= +\begin{chunk}{SExpressionCategory.input} )set break resume )sys rm -f SExpressionCategory.output )spool SExpressionCategory.output @@ -9891,8 +9895,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SExpressionCategory.help} ==================================================================== SExpressionCategory examples ==================================================================== @@ -9900,7 +9904,7 @@ See Also: o )show SExpressionCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -9974,7 +9978,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category SEXCAT SExpressionCategory} )abbrev category SEXCAT SExpressionCategory ++ Category for Lisp values ++ Author: S.M.Watt @@ -10051,21 +10055,21 @@ elt: (%, List Integer) -> % ++ elt((a1,...,an), [i1,...,im]) returns \spad{(a_i1,...,a_im)}. -@ -<>= +\end{chunk} +\begin{chunk}{SEXCAT.dotabb} "SEXCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SEXCAT"]; "SEXCAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SEXCAT.dotfull} "SExpressionCategory(a:SetCategory,b:SetCategory,c:SetCategory,d:SetCategory,e:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=SEXCAT"]; "SExpressionCategory(a:SetCategory,b:SetCategory,c:SetCategory,d:SetCategory,e:SetCategory)" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{SEXCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -10093,12 +10097,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{StepThrough}{STEP} \pagepic{ps/v102stepthrough.ps}{STEP}{1.00} -<>= +\begin{chunk}{StepThrough.input} )set break resume )sys rm -f StepThrough.output )spool StepThrough.output @@ -10123,8 +10127,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StepThrough.help} ==================================================================== StepThrough examples ==================================================================== @@ -10132,7 +10136,7 @@ See Also: o )show StepThrough -@ +\end{chunk} {\bf See:} \pageto{FiniteFieldCategory}{FFIELDC} @@ -10168,7 +10172,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category STEP StepThrough} )abbrev category STEP StepThrough ++ Author: ++ Date Created: @@ -10199,19 +10203,19 @@ ++ nextItem(x) returns the next item, or "failed" ++ if domain is exhausted. -@ -<>= +\end{chunk} +\begin{chunk}{STEP.dotabb} "STEP" [color=lightblue,href="bookvol10.2.pdf#nameddest=STEP"]; "STEP" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{STEP.dotfull} "StepThrough()" [color=lightblue,href="bookvol10.2.pdf#nameddest=STEP"]; "StepThrough()" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{STEP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -10237,12 +10241,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ThreeSpaceCategory}{SPACEC} \pagepic{ps/v102threespacecategory.ps}{SPACEC}{1.00} -<>= +\begin{chunk}{ThreeSpaceCategory.input} )set break resume )sys rm -f ThreeSpaceCategory.output )spool ThreeSpaceCategory.output @@ -10299,8 +10303,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ThreeSpaceCategory.help} ==================================================================== ThreeSpaceCategory examples ==================================================================== @@ -10308,7 +10312,7 @@ See Also: o )show ThreeSpaceCategory -@ +\end{chunk} {\bf See:} \pagefrom{SetCategory}{SETCAT} @@ -10421,7 +10425,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category SPACEC ThreeSpaceCategory} )abbrev category SPACEC ThreeSpaceCategory ++ Author: ++ Date Created: @@ -10716,20 +10720,20 @@ coerce : % -> O ++ coerce(s) returns the \spadtype{ThreeSpace} s to Output format. -@ -<>= +\end{chunk} +\begin{chunk}{SPACEC.dotabb} "SPACEC" [color=lightblue,href="bookvol10.2.pdf#nameddest=SPACEC"]; "SPACEC" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SPACEC.dotfull} "ThreeSpaceCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=SPACEC"]; "ThreeSpaceCategory(a:Ring)" -> "SetCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{SPACEC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -10755,13 +10759,13 @@ } -@ +\end{chunk} \chapter{Category Layer 4} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AbelianMonoid}{ABELMON} \pagepic{ps/v102abelianmonoid.ps}{ABELMON}{0.75} -<>= +\begin{chunk}{AbelianMonoid.input} )set break resume )sys rm -f AbelianMonoid.output )spool AbelianMonoid.output @@ -10788,8 +10792,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AbelianMonoid.help} ==================================================================== AbelianMonoid examples ==================================================================== @@ -10797,7 +10801,7 @@ See Also: o )show AbelianMonoid -@ +\end{chunk} {\bf See:} \pageto{CancellationAbelianMonoid}{CABMON} @@ -10844,7 +10848,7 @@ ?+? : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category ABELMON AbelianMonoid} )abbrev category ABELMON AbelianMonoid ++ Author: ++ Date Created: @@ -10884,20 +10888,20 @@ zero? n => 0 double(n pretend PositiveInteger,x) -@ -<>= +\end{chunk} +\begin{chunk}{ABELMON.dotabb} "ABELMON" [color=lightblue,href="bookvol10.2.pdf#nameddest=ABELMON"]; "ABELMON" -> "ABELSG" -@ -<>= +\end{chunk} +\begin{chunk}{ABELMON.dotfull} "AbelianMonoid()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ABELMON"]; "AbelianMonoid()" -> "AbelianSemiGroup()" -@ -<>= +\end{chunk} +\begin{chunk}{ABELMON.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -10935,12 +10939,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AffineSpaceCategory}{AFSPCAT} \pagepic{ps/v102affinespacecategory.ps}{AFSPCAT}{0.75} -<>= +\begin{chunk}{AffineSpaceCategory.input} )set break resume )sys rm -f AffineSpaceCategory.output )spool AffineSpaceCategory.output @@ -10975,8 +10979,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AffineSpaceCategory.help} ==================================================================== AffineSpaceCategory examples ==================================================================== @@ -10984,7 +10988,7 @@ See Also: o )show AffineSpaceCategory -@ +\end{chunk} {\bf See:} @@ -11043,7 +11047,7 @@ latex : % -> String \end{verbatim} -<>= +\begin{chunk}{category AFSPCAT AffineSpaceCategory} )abbrev category AFSPCAT AffineSpaceCategory ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -11117,20 +11121,20 @@ ++ pointValue returns the coordinates of the point or of the point ++ of origin that represent an infinitly close point -@ -<>= +\end{chunk} +\begin{chunk}{AFSPCAT.dotabb} "AFSPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=AFSPCAT"]; "AFSPCAT" -> "SETCATD" -@ -<>= +\end{chunk} +\begin{chunk}{AFSPCAT.dotfull} "AffineSpaceCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=AFSPCAT"]; "AffineSpaceCategory()" -> "SetCategoryWithDegree()" -@ -<>= +\end{chunk} +\begin{chunk}{AFSPCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -11163,12 +11167,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BagAggregate}{BGAGG} \pagepic{ps/v102bagaggregate.ps}{BGAGG}{1.00} -<>= +\begin{chunk}{BagAggregate.input} )set break resume )sys rm -f BagAggregate.output )spool BagAggregate.output @@ -11215,8 +11219,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BagAggregate.help} ==================================================================== BagAggregate examples ==================================================================== @@ -11224,7 +11228,7 @@ See Also: o )show BagAggregate -@ +\end{chunk} {\bf See:} \pageto{DictionaryOperations}{DIOPS} @@ -11325,7 +11329,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category BGAGG BagAggregate} )abbrev category BGAGG BagAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -11360,13 +11364,13 @@ for s in l repeat x:=insert_!(s,x) x -@ -<>= +\end{chunk} +\begin{chunk}{BGAGG.dotabb} "BGAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=BGAGG"]; "BGAGG" -> "HOAGG" -@ -<>= +\end{chunk} +\begin{chunk}{BGAGG.dotfull} "BagAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=BGAGG"]; "BagAggregate(a:Type)" -> "HomogeneousAggregate(a:Type)" @@ -11375,8 +11379,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=BGAGG"]; "BagAggregate(a:SetCategory)" -> "BagAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{BGAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -11397,12 +11401,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CachableSet}{CACHSET} \pagepic{ps/v102cachableset.ps}{CACHSET}{1.00} -<>= +\begin{chunk}{CachableSet.input} )set break resume )sys rm -f CachableSet.output )spool CachableSet.output @@ -11431,8 +11435,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CachableSet.help} ==================================================================== CachableSet examples ==================================================================== @@ -11440,7 +11444,7 @@ See Also: o )show CachableSet -@ +\end{chunk} {\bf See:} \pagefrom{OrderedSet}{ORDSET} @@ -11484,7 +11488,7 @@ ?>=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category CACHSET CachableSet} )abbrev category CACHSET CachableSet ++ Sets whose elements can cache an integer ++ Author: Manuel Bronstein @@ -11500,20 +11504,20 @@ setPosition: (%, NonNegativeInteger) -> Void ++ setPosition(x, n) associates the integer n to x. -@ -<>= +\end{chunk} +\begin{chunk}{CACHSET.dotabb} "CACHSET" [color=lightblue,href="bookvol10.2.pdf#nameddest=CACHSET"]; "CACHSET" -> "ORDSET" -@ -<>= +\end{chunk} +\begin{chunk}{CACHSET.dotfull} "CachableSet()" [color=lightblue,href="bookvol10.2.pdf#nameddest=CACHSET"]; "CachableSet()" -> "OrderedSet()" -@ -<>= +\end{chunk} +\begin{chunk}{CACHSET.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -11541,12 +11545,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Collection}{CLAGG} \pagepic{ps/v102collection.ps}{CLAGG}{1.00} -<>= +\begin{chunk}{Collection.input} )set break resume )sys rm -f Collection.output )spool Collection.output @@ -11601,8 +11605,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Collection.help} ==================================================================== Collection examples ==================================================================== @@ -11610,7 +11614,7 @@ See Also: o )show Collection -@ +\end{chunk} {\bf See:} \pageto{DictionaryOperations}{DIOPS} @@ -11730,7 +11734,7 @@ convert : % -> InputForm if S has KONVERT INFORM \end{verbatim} -<>= +\begin{chunk}{category CLAGG Collection} )abbrev category CLAGG Collection ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -11820,13 +11824,13 @@ reduce(f:(S,S)->S, x:%, s1:S, s2:S) == reduce(f, parts x, s1, s2) removeDuplicates(x) == construct removeDuplicates parts x -@ -<>= +\end{chunk} +\begin{chunk}{CLAGG.dotabb} "CLAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=CLAGG"]; "CLAGG" -> "HOAGG" -@ -<>= +\end{chunk} +\begin{chunk}{CLAGG.dotfull} "Collection(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=CLAGG"]; "Collection(a:Type)" -> "HomogeneousAggregate(a:Type)" @@ -11840,8 +11844,8 @@ "Collection(RecursivePolynomialCategory(Ring,OrderedAbelianMonoidSup(),OrderedSet())" -> "Collection(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{CLAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -11869,12 +11873,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DifferentialVariableCategory}{DVARCAT} \pagepic{ps/v102differentialvariablecategory.ps}{DVARCAT}{1.00} -<>= +\begin{chunk}{DifferentialVariableCategory.input} )set break resume )sys rm -f DifferentialVariableCategory.output )spool DifferentialVariableCategory.output @@ -11907,8 +11911,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DifferentialVariableCategory.help} ==================================================================== DifferentialVariableCategory examples ==================================================================== @@ -11916,7 +11920,7 @@ See Also: o )show DifferentialVariableCategory -@ +\end{chunk} {\bf See:} \pagefrom{OrderedSet}{ORDSET} @@ -11981,7 +11985,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category DVARCAT DifferentialVariableCategory} )abbrev category DVARCAT DifferentialVariableCategory ++ Author: William Sit ++ Date Created: 19 July 1990 @@ -12099,22 +12103,22 @@ weight v == order v -- the default weight is just the order -@ -<>= +\end{chunk} +\begin{chunk}{DVARCAT.dotabb} "DVARCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DVARCAT"]; "DVARCAT" -> "ORDSET" "DVARCAT" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{DVARCAT.dotfull} "DifferentialVariableCategory(a:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DVARCAT"]; "DifferentialVariableCategory(a:OrderedSet)" -> "OrderedSet()" "DifferentialVariableCategory(a:OrderedSet)" -> "RetractableTo(OrderedSet)" -@ -<>= +\end{chunk} +\begin{chunk}{DVARCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -12149,12 +12153,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ExpressionSpace}{ES} \pagepic{ps/v102expressionspace.ps}{ES}{0.35} -<>= +\begin{chunk}{ExpressionSpace.input} )set break resume )sys rm -f ExpressionSpace.output )spool ExpressionSpace.output @@ -12217,8 +12221,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ExpressionSpace.help} ==================================================================== ExpressionSpace examples ==================================================================== @@ -12226,7 +12230,7 @@ See Also: o )show ExpressionSpace -@ +\end{chunk} {\bf See:} \pageto{FunctionSpace}{FS} @@ -12358,7 +12362,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category ES ExpressionSpace} )abbrev category ES ExpressionSpace ++ Category for domains on which operators can be applied ++ Author: Manuel Bronstein @@ -12676,8 +12680,8 @@ (u := retractIfCan(x)@Union(Integer, "failed")) case Integer and pred?(u::Integer) -@ -<>= +\end{chunk} +\begin{chunk}{ES.dotabb} "ES" [color=lightblue,href="bookvol10.2.pdf#nameddest=ES"]; "ES" -> "ORDSET" @@ -12685,8 +12689,8 @@ "ES" -> "IEVALAB" "ES" -> "EVALAB" -@ -<>= +\end{chunk} +\begin{chunk}{ES.dotfull} "ExpressionSpace()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ES"]; "ExpressionSpace()" -> "OrderedSet()" @@ -12695,8 +12699,8 @@ "InnerEvalable(Kernal(ExpressionSpace),ExpressionSpace)" "ExpressionSpace()" -> "Evalable(ExpressionSpace)" -@ -<>= +\end{chunk} +\begin{chunk}{ES.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -12751,12 +12755,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{GradedAlgebra}{GRALG} \pagepic{ps/v102gradedalgebra.ps}{GRALG}{0.75} -<>= +\begin{chunk}{GradedAlgebra.input} )set break resume )sys rm -f GradedAlgebra.output )spool GradedAlgebra.output @@ -12786,8 +12790,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GradedAlgebra.help} ==================================================================== GradedAlgebra examples ==================================================================== @@ -12795,7 +12799,7 @@ See Also: o )show GradedAlgebra -@ +\end{chunk} {\bf See:} \pagefrom{GradedModule}{GRMOD} @@ -12855,7 +12859,7 @@ retractIfCan : % -> Union(R,"failed") \end{verbatim} -<>= +\begin{chunk}{category GRALG GradedAlgebra} )abbrev category GRALG GradedAlgebra ++ Author: Stephen M. Watt ++ Date Created: May 20, 1991 @@ -12894,23 +12898,23 @@ (r: R)*(x: %) == product(r::%, x) (x: %)*(r: R) == product(x, r::%) -@ -<>= +\end{chunk} +\begin{chunk}{GRALG.dotabb} "GRALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=GRALG"]; "GRALG" -> "GRMOD" "GRALG" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{GRALG.dotfull} "GradedAlgebra(a:CommutativeRing,b:AbelianMonoid)" [color=lightblue,href="bookvol10.2.pdf#nameddest=GRALG"]; "GradedAlgebra(a:CommutativeRing,b:AbelianMonoid)" -> "GradedModule(a:CommutativeRing,b:AbelianMonoid)" "GradedAlgebra(a:CommutativeRing,b:AbelianMonoid)" -> "RetractableTo(CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{GRALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -12948,12 +12952,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{IndexedAggregate}{IXAGG} \pagepic{ps/v102indexedaggregate.ps}{IXAGG}{0.90} -<>= +\begin{chunk}{IndexedAggregate.input} )set break resume )sys rm -f IndexedAggregate.output )spool IndexedAggregate.output @@ -13009,8 +13013,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedAggregate.help} ==================================================================== IndexedAggregate examples ==================================================================== @@ -13018,7 +13022,7 @@ See Also: o )show IndexedAggregate -@ +\end{chunk} {\bf See:} \pageto{DirectProductCategory}{DIRPCAT} @@ -13151,7 +13155,7 @@ ?.? : (%,Index) -> Entry \end{verbatim} -<>= +\begin{chunk}{category IXAGG IndexedAggregate} )abbrev category IXAGG IndexedAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -13240,14 +13244,14 @@ qsetelt_!(a, j, t) void -@ -<>= +\end{chunk} +\begin{chunk}{IXAGG.dotabb} "IXAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=IXAGG"]; "IXAGG" -> "HOAGG" "IXAGG" -> "ELTAGG" -@ -<>= +\end{chunk} +\begin{chunk}{IXAGG.dotfull} "IndexedAggregate(a:SetCategory,b:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=IXAGG"]; "IndexedAggregate(a:SetCategory,b:Type)" -> @@ -13265,8 +13269,8 @@ "IndexedAggregate(b:Integer,a:Type)" -> "IndexedAggregate(a:SetCategory,b:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{IXAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -13296,12 +13300,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MonadWithUnit}{MONADWU} \pagepic{ps/v102monadwithunit.ps}{MONADWU}{0.75} -<>= +\begin{chunk}{MonadWithUnit.input} )set break resume )sys rm -f MonadWithUnit.output )spool MonadWithUnit.output @@ -13334,8 +13338,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MonadWithUnit.help} ==================================================================== MonadWithUnit examples ==================================================================== @@ -13343,7 +13347,7 @@ See Also: o )show MonadWithUnit -@ +\end{chunk} {\bf See:} \pageto{NonAssociativeRing}{NASRING} @@ -13397,7 +13401,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category MONADWU MonadWithUnit} )abbrev category MONADWU MonadWithUnit ++ Authors: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -13468,20 +13472,20 @@ for i in 1..n repeat res := a * res res -@ -<>= +\end{chunk} +\begin{chunk}{MONADWU.dotabb} "MONADWU" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONADWU"]; "MONADWU" -> "MONAD" -@ -<>= +\end{chunk} +\begin{chunk}{MONADWU.dotfull} "MonadWithUnit()" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONADWU"]; "MonadWithUnit()" -> "Monad()" -@ -<>= +\end{chunk} +\begin{chunk}{MONADWU.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -13519,12 +13523,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Monoid}{MONOID} \pagepic{ps/v102monoid.ps}{MONOID}{0.75} -<>= +\begin{chunk}{Monoid.input} )set break resume )sys rm -f Monoid.output )spool Monoid.output @@ -13553,8 +13557,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Monoid.help} ==================================================================== Monoid examples ==================================================================== @@ -13562,7 +13566,7 @@ See Also: o )show Monoid -@ +\end{chunk} {\bf See:} \pageto{FunctionSpace}{FS} @@ -13615,7 +13619,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category MONOID Monoid} )abbrev category MONOID Monoid ++ Author: ++ Date Created: @@ -13665,20 +13669,20 @@ zero? n => 1 expt(x,n pretend PositiveInteger) -@ -<>= +\end{chunk} +\begin{chunk}{MONOID.dotabb} "MONOID" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONOID"]; "MONOID" -> "SGROUP" -@ -<>= +\end{chunk} +\begin{chunk}{MONOID.dotfull} "Monoid()" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONOID"]; "Monoid()" -> "SemiGroup()" -@ -<>= +\end{chunk} +\begin{chunk}{MONOID.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -13716,12 +13720,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedFinite}{ORDFIN} \pagepic{ps/v102orderedfinite.ps}{ORDFIN}{1.00} -<>= +\begin{chunk}{OrderedFinite.input} )set break resume )sys rm -f OrderedFinite.output )spool OrderedFinite.output @@ -13750,8 +13754,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedFinite.help} ==================================================================== OrderedFinite examples ==================================================================== @@ -13759,7 +13763,7 @@ See Also: o )show OrderedFinite -@ +\end{chunk} {\bf See:} \pagefrom{Finite}{FINITE} @@ -13808,7 +13812,7 @@ size : () -> NonNegativeInteger \end{verbatim} -<>= +\begin{chunk}{category ORDFIN OrderedFinite} )abbrev category ORDFIN OrderedFinite ++ Author: ++ Date Created: @@ -13824,22 +13828,22 @@ OrderedFinite(): Category == Join(OrderedSet, Finite) -@ -<>= +\end{chunk} +\begin{chunk}{ORDFIN.dotabb} "ORDFIN" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDFIN"]; "ORDFIN" -> "ORDSET" "ORDFIN" -> "FINITE" -@ -<>= +\end{chunk} +\begin{chunk}{ORDFIN.dotfull} "OrderedFinite()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDFIN"]; "OrderedFinite()" -> "OrderedSet()" "OrderedFinite()" -> "Finite()" -@ -<>= +\end{chunk} +\begin{chunk}{ORDFIN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -13871,12 +13875,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PlacesCategory}{PLACESC} \pagepic{ps/v102placescategory.eps}{PLACESC}{0.75} -<>= +\begin{chunk}{PlacesCategory.input} )set break resume )sys rm -f PlacesCategory.output )spool PlacesCategory.output @@ -13913,8 +13917,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PlacesCategory.help} ==================================================================== PlacesCategory examples ==================================================================== @@ -13922,7 +13926,7 @@ See Also: o )show PlacesCategory -@ +\end{chunk} {\bf See:} @@ -13986,7 +13990,7 @@ latex : % -> String \end{verbatim} -<>= +\begin{chunk}{category PLACESC PlacesCategory} )abbrev category PLACESC PlacesCategory ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -14045,19 +14049,19 @@ ++ elt returns the value of a specified coordinates if the places ++ correspnd to a simple point -@ -<>= +\end{chunk} +\begin{chunk}{PLACESC.dotabb} "PLACESC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PLACESC"]; "SETCATD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SETCATD"] "PLACESC" -> "SETCATD" -@ -<>= +\end{chunk} +\begin{chunk}{PLACESC.dotfull} "PlacesCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PLACESC"]; "PlacesCategory()" -> "SetCategoryWithDegree()" -@ -<>= +\end{chunk} +\begin{chunk}{PLACESC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -14090,12 +14094,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ProjectiveSpaceCategory}{PRSPCAT} \pagepic{ps/v102projectivespacecategory.ps}{PRSPCAT}{0.75} -<>= +\begin{chunk}{ProjectiveSpaceCategory.input} )set break resume )sys rm -f ProjectiveSpaceCategory.output )spool ProjectiveSpaceCategory.output @@ -14132,8 +14136,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ProjectiveSpaceCategory.help} ==================================================================== ProjectiveSpaceCategory examples ==================================================================== @@ -14141,7 +14145,7 @@ See Also: o )show ProjectiveSpaceCategory -@ +\end{chunk} {\bf See:} @@ -14206,7 +14210,7 @@ latex : % -> String \end{verbatim} -<>= +\begin{chunk}{category PRSPCAT ProjectiveSpaceCategory} )abbrev category PRSPCAT ProjectiveSpaceCategory ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -14292,20 +14296,20 @@ ++ pointValue returns the coordinates of the point or of the point ++ of origin that represent an infinitly close point -@ -<>= +\end{chunk} +\begin{chunk}{PRSPCAT.dotabb} "PRSPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PRSPCAT"]; "PRSPCAT" -> "SETCATD" -@ -<>= +\end{chunk} +\begin{chunk}{PRSPCAT.dotfull} "ProjectiveSpaceCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PRSPCAT"]; "ProjectiveSpaceCategory()" -> "SetCategoryWithDegree()" -@ -<>= +\end{chunk} +\begin{chunk}{PRSPCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -14338,12 +14342,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RecursiveAggregate}{RCAGG} \pagepic{ps/v102recursiveaggregate.ps}{RCAGG}{1.00} -<>= +\begin{chunk}{RecursiveAggregate.input} )set break resume )sys rm -f RecursiveAggregate.output )spool RecursiveAggregate.output @@ -14397,8 +14401,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RecursiveAggregate.help} ==================================================================== RecursiveAggregate examples ==================================================================== @@ -14406,7 +14410,7 @@ See Also: o )show RecursiveAggregate -@ +\end{chunk} {\bf See:} \pageto{BinaryRecursiveAggregate}{BRAGG} @@ -14528,7 +14532,7 @@ ?=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category RCAGG RecursiveAggregate} )abbrev category RCAGG RecursiveAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -14592,19 +14596,19 @@ if S has SetCategory then child?(x,l) == member?(x,children(l)) -@ -<>= +\end{chunk} +\begin{chunk}{RCAGG.dotabb} "RCAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=RCAGG"]; "RCAGG" -> "HOAGG" -@ -<>= +\end{chunk} +\begin{chunk}{RCAGG.dotfull} "RecursiveAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=RCAGG"]; "RecursiveAggregate(a:Type)" -> "HomogeneousAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{RCAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -14625,7 +14629,7 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{TwoDimensionalArrayCategory}{ARR2CAT} \pagepic{ps/v102twodimensionalarraycategory.ps}{ARR2CAT}{0.65} @@ -14640,7 +14644,7 @@ the first element of a 'Row' is the same as the index of the first column in an array and vice versa. -<>= +\begin{chunk}{TwoDimensionalArrayCategory.input} )set break resume )sys rm -f TwoDimensionalArrayCategory.output )spool TwoDimensionalArrayCategory.output @@ -14696,8 +14700,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TwoDimensionalArrayCategory.help} ==================================================================== TwoDimensionalArrayCategory examples ==================================================================== @@ -14705,7 +14709,7 @@ See Also: o )show TwoDimensionalArrayCategory -@ +\end{chunk} {\bf See:} @@ -14833,7 +14837,7 @@ ?~=? : (%,%) -> Boolean if R has SETCAT \end{verbatim} -<>= +\begin{chunk}{category ARR2CAT TwoDimensionalArrayCategory} )abbrev category ARR2CAT TwoDimensionalArrayCategory ++ Author: ++ Date Created: 27 October 1989 @@ -15184,14 +15188,14 @@ for i in minRowIndex(m)..maxRowIndex(m)] matrix l -@ -<>= +\end{chunk} +\begin{chunk}{ARR2CAT.dotabb} "ARR2CAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=ARR2CAT"]; "ARR2CAT" -> "HOAGG" -@ -<>= +\end{chunk} +\begin{chunk}{ARR2CAT.dotfull} "TwoDimensionalArrayCategory(a:Type,b:FiniteLinearAggregate(a),c:FiniteLinearAggregate(a))" [color=lightblue,href="bookvol10.2.pdf#nameddest=ARR2CAT"]; "TwoDimensionalArrayCategory(a:Type,b:FiniteLinearAggregate(a),c:FiniteLinearAggregate(a))" @@ -15202,8 +15206,8 @@ "TwoDimensionalArrayCategory(a:Type,d:IndexedOneDimensionalArray(a,b),e:IndexedOneDimensionalArray(a,c))" -> "TwoDimensionalArrayCategory(a:Type,b:FiniteLinearAggregate(a),c:FiniteLinearAggregate(a))" -@ -<>= +\end{chunk} +\begin{chunk}{ARR2CAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -15244,13 +15248,13 @@ } -@ +\end{chunk} \chapter{Category Layer 5} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BinaryRecursiveAggregate}{BRAGG} \pagepic{ps/v102binaryrecursiveaggregate.ps}{BRAGG}{1.00} -<>= +\begin{chunk}{BinaryRecursiveAggregate.input} )set break resume )sys rm -f BinaryRecursiveAggregate.output )spool BinaryRecursiveAggregate.output @@ -15310,8 +15314,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinaryRecursiveAggregate.help} ==================================================================== BinaryRecursiveAggregate examples ==================================================================== @@ -15319,7 +15323,7 @@ See Also: o )show BinaryRecursiveAggregate -@ +\end{chunk} {\bf See:} \pageto{BinaryTreeCategory}{BTCAT} @@ -15455,7 +15459,7 @@ ?.value : (%,value) -> S \end{verbatim} -<>= +\begin{chunk}{category BRAGG BinaryRecursiveAggregate} )abbrev category BRAGG BinaryRecursiveAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -15569,13 +15573,13 @@ setelt(x,"left",b) == setleft_!(x,b) setelt(x,"right",b) == setright_!(x,b) -@ -<>= +\end{chunk} +\begin{chunk}{BRAGG.dotabb} "BRAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=BRAGG"]; "BRAGG" -> "RCAGG" -@ -<>= +\end{chunk} +\begin{chunk}{BRAGG.dotfull} "BinaryRecursiveAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=BRAGG"]; "BinaryRecursiveAggregate(a:Type)" -> "RecursiveAggregate(a:Type)" @@ -15585,8 +15589,8 @@ "BinaryRecursiveAggregate(a:SetCategory)" -> "BinaryRecursiveAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{BRAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -15610,12 +15614,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CancellationAbelianMonoid}{CABMON} \pagepic{ps/v102cancellationabelianmonoid.ps}{CABMON}{0.75} -<>= +\begin{chunk}{CancellationAbelianMonoid.input} )set break resume )sys rm -f CancellationAbelianMonoid.output )spool CancellationAbelianMonoid.output @@ -15643,8 +15647,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CancellationAbelianMonoid.help} ==================================================================== CancellationAbelianMonoid examples ==================================================================== @@ -15652,7 +15656,7 @@ See Also: o )show CancellationAbelianMonoid -@ +\end{chunk} {\bf See:} \pageto{AbelianGroup}{ABELGRP} @@ -15696,7 +15700,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category CABMON CancellationAbelianMonoid} )abbrev category CABMON CancellationAbelianMonoid ++ Author: ++ Date Created: @@ -15719,20 +15723,20 @@ ++ subtractIfCan(x, y) returns an element z such that \spad{z+y=x} ++ or "failed" if no such element exists. -@ -<>= +\end{chunk} +\begin{chunk}{CABMON.dotabb} "CABMON" [color=lightblue,href="bookvol10.2.pdf#nameddest=CABMON"]; "CABMON" -> "ABELMON" -@ -<>= +\end{chunk} +\begin{chunk}{CABMON.dotfull} "CancellationAbelianMonoid()" [color=lightblue,href="bookvol10.2.pdf#nameddest=CABMON"]; "CancellationAbelianMonoid()" -> "AbelianMonoid()" -@ -<>= +\end{chunk} +\begin{chunk}{CABMON.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -15773,12 +15777,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DictionaryOperations}{DIOPS} \pagepic{ps/v102dictionaryoperations.ps}{DIOPS}{1.00} -<>= +\begin{chunk}{DictionaryOperations.input} )set break resume )sys rm -f DictionaryOperations.output )spool DictionaryOperations.output @@ -15839,8 +15843,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DictionaryOperations.help} ==================================================================== DictionaryOperations examples ==================================================================== @@ -15848,7 +15852,7 @@ See Also: o )show DictionaryOperations -@ +\end{chunk} {\bf See:} \pageto{Dictionary}{DIAGG} @@ -15985,7 +15989,7 @@ select : ((S -> Boolean),%) -> % if $ has finiteAggregate \end{verbatim} -<>= +\begin{chunk}{category DIOPS DictionaryOperations} )abbrev category DIOPS DictionaryOperations ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -16034,21 +16038,21 @@ prefix("dictionary"@String :: OutputForm, [x::OutputForm for x in parts s]) -@ -<>= +\end{chunk} +\begin{chunk}{DIOPS.dotabb} "DIOPS" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIOPS"]; "DIOPS" -> "BGAGG" "DIOPS" -> "CLAGG" -@ -<>= +\end{chunk} +\begin{chunk}{DIOPS.dotfull} "DictionaryOperations(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIOPS"]; "DictionaryOperations(a:SetCategory)" -> "BagAggregate(a:SetCategory)" "DictionaryOperations(a:SetCategory)" -> "Collection(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{DIOPS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -16082,12 +16086,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DoublyLinkedAggregate}{DLAGG} \pagepic{ps/v102doublylinkedaggregate.ps}{DLAGG}{1.00} -<>= +\begin{chunk}{DoublyLinkedAggregate.input} )set break resume )sys rm -f DoublyLinkedAggregate.output )spool DoublyLinkedAggregate.output @@ -16147,8 +16151,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DoublyLinkedAggregate.help} ==================================================================== DoublyLinkedAggregate examples ==================================================================== @@ -16156,7 +16160,7 @@ See Also: o )show DoublyLinkedAggregate -@ +\end{chunk} {\bf See:} \pagefrom{RecursiveAggregate}{RCAGG} @@ -16287,7 +16291,7 @@ ?.value : (%,value) -> S \end{verbatim} -<>= +\begin{chunk}{category DLAGG DoublyLinkedAggregate} )abbrev category DLAGG DoublyLinkedAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -16335,19 +16339,19 @@ ++ setnext!(u,v) destructively sets the next node of doubly-linked ++ aggregate u to v, returning v. -@ -<>= +\end{chunk} +\begin{chunk}{DLAGG.dotabb} "DLAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=DLAGG"]; "DLAGG" -> "RCAGG" -@ -<>= +\end{chunk} +\begin{chunk}{DLAGG.dotfull} "DoublyLinkedAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DLAGG"]; "DoublyLinkedAggregate(a:Type)" -> "RecursiveAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{DLAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -16371,12 +16375,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Group}{GROUP} \pagepic{ps/v102group.ps}{GROUP}{0.65} -<>= +\begin{chunk}{Group.input} )set break resume )sys rm -f Group.output )spool Group.output @@ -16408,8 +16412,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Group.help} ==================================================================== Group examples ==================================================================== @@ -16417,7 +16421,7 @@ See Also: o )show Group -@ +\end{chunk} {\bf See:} \pageto{FunctionSpace}{FS} @@ -16485,7 +16489,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category GROUP Group} )abbrev category GROUP Group ++ Author: ++ Date Created: @@ -16533,20 +16537,20 @@ conjugate(p,q) == inv(q) * p * q commutator(p,q) == inv(p) * inv(q) * p * q -@ -<>= +\end{chunk} +\begin{chunk}{GROUP.dotabb} "GROUP" [color=lightblue,href="bookvol10.2.pdf#nameddest=GROUP"]; "GROUP" -> "MONOID" -@ -<>= +\end{chunk} +\begin{chunk}{GROUP.dotfull} "Group()" [color=lightblue,href="bookvol10.2.pdf#nameddest=GROUP"]; "Group()" -> "Monoid()" -@ -<>= +\end{chunk} +\begin{chunk}{GROUP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -16591,12 +16595,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LinearAggregate}{LNAGG} \pagepic{ps/v102linearaggregate.ps}{LNAGG}{0.90} -<>= +\begin{chunk}{LinearAggregate.input} )set break resume )sys rm -f LinearAggregate.output )spool LinearAggregate.output @@ -16669,8 +16673,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LinearAggregate.help} ==================================================================== LinearAggregate examples ==================================================================== @@ -16678,7 +16682,7 @@ See Also: o )show LinearAggregate -@ +\end{chunk} {\bf See:} \pageto{ExtensibleLinearAggregate}{ELAGG} @@ -16845,7 +16849,7 @@ select : ((S -> Boolean),%) -> % if $ has finiteAggregate \end{verbatim} -<>= +\begin{chunk}{category LNAGG LinearAggregate} )abbrev category LNAGG LinearAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -16933,21 +16937,21 @@ --if % has shallowlyMutable then new(n, s) == fill_!(new n, s) -@ -<>= +\end{chunk} +\begin{chunk}{LNAGG.dotabb} "LNAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=LNAGG"]; "LNAGG" -> "IXAGG" "LNAGG" -> "CLAGG" -@ -<>= +\end{chunk} +\begin{chunk}{LNAGG.dotfull} "LinearAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LNAGG"]; "LinearAggregate(a:Type)" -> "IndexedAggregate(b:Integer,a:Type)" "LinearAggregate(a:Type)" -> "Collection(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{LNAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -16980,12 +16984,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MatrixCategory}{MATCAT} \pagepic{ps/v102matrixcategory.ps}{MATCAT}{0.60} -<>= +\begin{chunk}{MatrixCategory.input} )set break resume )sys rm -f MatrixCategory.output )spool MatrixCategory.output @@ -17879,8 +17883,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MatrixCategory.help} ==================================================================== MatrixCategory examples ==================================================================== @@ -18156,7 +18160,7 @@ (matrix [[j**i for i in 0..4] for j in 1..5]) ** 2 -@ +\end{chunk} We define three categories for matrices \begin{itemize} @@ -18381,7 +18385,7 @@ ?=? : (%,%) -> Boolean if R has SETCAT \end{verbatim} -<>= +\begin{chunk}{category MATCAT MatrixCategory} )abbrev category MATCAT MatrixCategory ++ Authors: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -19130,22 +19134,22 @@ error "**: matrix must be invertible" positivePower(xInv :: %,-n) -@ -<>= +\end{chunk} +\begin{chunk}{MATCAT.dotabb} "MATCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=MATCAT"]; "MATCAT" -> "ARR2CAT" -@ -<>= +\end{chunk} +\begin{chunk}{MATCAT.dotfull} "MatrixCategory(a:Ring,b:FiniteLinearAggregate(a),c:FiniteLinearAggregate(a)" [color=lightblue,href="bookvol10.2.pdf#nameddest=MATCAT"]; "MatrixCategory(a:Ring,b:FiniteLinearAggregate(a),c:FiniteLinearAggregate(a)" -> "TwoDimensionalArrayCategory(a:Type,b:FiniteLinearAggregate(a),c:FiniteLinearAggregate(a))" -@ -<>= +\end{chunk} +\begin{chunk}{MATCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -19192,12 +19196,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedAbelianSemiGroup}{OASGP} \pagepic{ps/v102orderedabeliansemigroup.ps}{OASGP}{0.75} -<>= +\begin{chunk}{OrderedAbelianSemiGroup.input} )set break resume )sys rm -f OrderedAbelianSemiGroup.output )spool OrderedAbelianSemiGroup.output @@ -19227,8 +19231,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedAbelianSemiGroup.help} ==================================================================== OrderedAbelianSemiGroup examples ==================================================================== @@ -19236,7 +19240,7 @@ See Also: o )show OrderedAbelianSemiGroup -@ +\end{chunk} {\bf See:} \pageto{OrderedAbelianMonoid}{OAMON} @@ -19289,7 +19293,7 @@ ?+? : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category OASGP OrderedAbelianSemiGroup} )abbrev category OASGP OrderedAbelianSemiGroup ++ Author: ++ Date Created: @@ -19309,22 +19313,22 @@ OrderedAbelianSemiGroup(): Category == Join(OrderedSet, AbelianMonoid) -@ -<>= +\end{chunk} +\begin{chunk}{OASGP.dotabb} "OASGP" [color=lightblue,href="bookvol10.2.pdf#nameddest=OASGP"]; "OASGP" -> "ORDSET" "OASGP" -> "ABELMON" -@ -<>= +\end{chunk} +\begin{chunk}{OASGP.dotfull} "OrderedAbelianSemiGroup()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OASGP"]; "OrderedAbelianSemiGroup()" -> "OrderedSet()" "OrderedAbelianSemiGroup()" -> "AbelianMonoid()" -@ -<>= +\end{chunk} +\begin{chunk}{OASGP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -19369,12 +19373,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedMonoid}{ORDMON} \pagepic{ps/v102orderedmonoid.ps}{ORDMON}{0.75} -<>= +\begin{chunk}{OrderedMonoid.input} )set break resume )sys rm -f OrderedMonoid.output )spool OrderedMonoid.output @@ -19406,8 +19410,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedMonoid.help} ==================================================================== OrderedMonoid examples ==================================================================== @@ -19415,7 +19419,7 @@ See Also: o )show OrderedMonoid -@ +\end{chunk} {\bf See:} \pagefrom{Monoid}{MONOID} @@ -19472,7 +19476,7 @@ ?>=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category ORDMON OrderedMonoid} )abbrev category ORDMON OrderedMonoid ++ Author: ++ Date Created: @@ -19493,22 +19497,22 @@ OrderedMonoid(): Category == Join(OrderedSet, Monoid) -@ -<>= +\end{chunk} +\begin{chunk}{ORDMON.dotabb} "ORDMON" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDMON"]; "ORDMON" -> "ORDSET" "ORDMON" -> "MONOID" -@ -<>= +\end{chunk} +\begin{chunk}{ORDMON.dotfull} "OrderedMonoid()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDMON"]; "OrderedMonoid()" -> "OrderedSet()" "OrderedMonoid()" -> "Monoid()" -@ -<>= +\end{chunk} +\begin{chunk}{ORDMON.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -19555,12 +19559,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PolynomialSetCategory}{PSETCAT} \pagepic{ps/v102polynomialsetcategory.ps}{PSETCAT}{0.30} -<>= +\begin{chunk}{PolynomialSetCategory.input} )set break resume )sys rm -f PolynomialSetCategory.output )spool PolynomialSetCategory.output @@ -19629,8 +19633,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PolynomialSetCategory.help} ==================================================================== PolynomialSetCategory examples ==================================================================== @@ -19638,7 +19642,7 @@ See Also: o )show PolynomialSetCategory -@ +\end{chunk} {\bf See:} \pageto{TriangularSetCategory}{TSETCAT} @@ -19794,7 +19798,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category PSETCAT PolynomialSetCategory} )abbrev category PSETCAT PolynomialSetCategory ++ Author: Marc Moreno Maza ++ Date Created: 04/26/1994 @@ -20154,16 +20158,16 @@ rs := cons(unitCanonical(p),rs) removeDuplicates rs -@ -<>= +\end{chunk} +\begin{chunk}{PSETCAT.dotabb} "PSETCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PSETCAT"]; "PSETCAT" -> "KOERCE" "PSETCAT" -> "CLAGG" "PSETCAT" -> "SETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{PSETCAT.dotfull} "PolynomialSetCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=PSETCAT"]; "PolynomialSetCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" @@ -20178,8 +20182,8 @@ "PolynomialSetCategory(a:IntegralDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -> "PolynomialSetCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -@ -<>= +\end{chunk} +\begin{chunk}{PSETCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -20238,12 +20242,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PriorityQueueAggregate}{PRQAGG} \pagepic{ps/v102priorityqueueaggregate.ps}{PRQAGG}{1.00} -<>= +\begin{chunk}{PriorityQueueAggregate.input} )set break resume )sys rm -f PriorityQueueAggregate.output )spool PriorityQueueAggregate.output @@ -20292,8 +20296,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PriorityQueueAggregate.help} ==================================================================== PriorityQueueAggregate examples ==================================================================== @@ -20301,7 +20305,7 @@ See Also: o )show PriorityQueueAggregate -@ +\end{chunk} {\bf See:} \pageto{OrderedMultisetAggregate}{OMSAGG} @@ -20402,7 +20406,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category PRQAGG PriorityQueueAggregate} )abbrev category PRQAGG PriorityQueueAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -20428,14 +20432,14 @@ ++ merge!(q,q1) destructively changes priority queue q to include the ++ values from priority queue q1. -@ -<>= +\end{chunk} +\begin{chunk}{PRQAGG.dotabb} "PRQAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=PRQAGG"]; "PRQAGG" -> "BGAGG" -@ -<>= +\end{chunk} +\begin{chunk}{PRQAGG.dotfull} "PriorityQueueAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PRQAGG"]; "PriorityQueueAggregate(a:Type)" -> "BagAggregate(a:Type)" @@ -20449,8 +20453,8 @@ "PriorityQueueAggregate(a:OrderedSet)" -> "PriorityQueueAggregate(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{PRQAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -20474,12 +20478,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{QueueAggregate}{QUAGG} \pagepic{ps/v102queueaggregate.ps}{QUAGG}{1.00} -<>= +\begin{chunk}{QueueAggregate.input} )set break resume )sys rm -f QueueAggregate.output )spool QueueAggregate.output @@ -20529,8 +20533,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QueueAggregate.help} ==================================================================== QueueAggregate examples ==================================================================== @@ -20538,7 +20542,7 @@ See Also: o )show QueueAggregate -@ +\end{chunk} {\bf See:} \pageto{DequeueAggregate}{DQAGG} @@ -20645,7 +20649,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category QUAGG QueueAggregate} )abbrev category QUAGG QueueAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -20684,13 +20688,13 @@ ++ The queue q is unchanged by this operation. ++ Error: if q is empty. -@ -<>= +\end{chunk} +\begin{chunk}{QUAGG.dotabb} "QUAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=QUAGG"]; "QUAGG" -> "BGAGG" -@ -<>= +\end{chunk} +\begin{chunk}{QUAGG.dotfull} "QueueAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=QUAGG"]; "QueueAggregate(a:Type)" -> "BagAggregate(a:Type)" @@ -20699,8 +20703,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=QUAGG"]; "QueueAggregate(a:SetCategory)" -> "QueueAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{QUAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -20724,12 +20728,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SetAggregate}{SETAGG} \pagepic{ps/v102setaggregate.ps}{SETAGG}{0.90} -<>= +\begin{chunk}{SetAggregate.input} )set break resume )sys rm -f SetAggregate.output )spool SetAggregate.output @@ -20788,8 +20792,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SetAggregate.help} ==================================================================== SetAggregate examples ==================================================================== @@ -20797,7 +20801,7 @@ See Also: o )show SetAggregate -@ +\end{chunk} {\bf See:} \pageto{FiniteSetAggregate}{FSAGG} @@ -20947,7 +20951,7 @@ if $ has finiteAggregate \end{verbatim} -<>= +\begin{chunk}{category SETAGG SetAggregate} )abbrev category SETAGG SetAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -21026,22 +21030,22 @@ union(x:S, s:%) == union(s, {x}) difference(s:%, x:S) == difference(s, {x}) -@ -<>= +\end{chunk} +\begin{chunk}{SETAGG.dotabb} "SETAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=SETAGG"]; "SETAGG" -> "SETCAT" "SETAGG" -> "CLAGG" -@ -<>= +\end{chunk} +\begin{chunk}{SETAGG.dotfull} "SetAggregate(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=SETAGG"]; "SetAggregate(a:SetCategory)" -> "SetCategory()" "SetAggregate(a:SetCategory)" -> "Collection(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{SETAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -21083,12 +21087,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{StackAggregate}{SKAGG} \pagepic{ps/v102stackaggregate.ps}{SKAGG}{1.00} -<>= +\begin{chunk}{StackAggregate.input} )set break resume )sys rm -f StackAggregate.output )spool StackAggregate.output @@ -21137,8 +21141,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StackAggregate.help} ==================================================================== StackAggregate examples ==================================================================== @@ -21146,7 +21150,7 @@ See Also: o )show StackAggregate -@ +\end{chunk} {\bf See:} \pageto{DequeueAggregate}{DQAGG} @@ -21249,7 +21253,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category SKAGG StackAggregate} )abbrev category SKAGG StackAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -21295,13 +21299,13 @@ ++X depth a -@ -<>= +\end{chunk} +\begin{chunk}{SKAGG.dotabb} "SKAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=SKAGG"]; "SKAGG" -> "BGAGG" -@ -<>= +\end{chunk} +\begin{chunk}{SKAGG.dotfull} "StackAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=SKAGG"]; "StackAggregate(a:Type)" -> "BagAggregate(a:Type)" @@ -21310,8 +21314,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=SKAGG"]; "StackAggregate(a:SetCategory)" -> "StackAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{SKAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -21335,12 +21339,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnaryRecursiveAggregate}{URAGG} \pagepic{ps/v102unaryrecursiveaggregate.ps}{URAGG}{1.00} -<>= +\begin{chunk}{UnaryRecursiveAggregate.input} )set break resume )sys rm -f UnaryRecursiveAggregate.output )spool UnaryRecursiveAggregate.output @@ -21415,8 +21419,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnaryRecursiveAggregate.help} ==================================================================== UnaryRecursiveAggregate examples ==================================================================== @@ -21424,7 +21428,7 @@ See Also: o )show UnaryRecursiveAggregate -@ +\end{chunk} {\bf See:} \pageto{StreamAggregate}{STAGG} @@ -21592,7 +21596,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category URAGG UnaryRecursiveAggregate} )abbrev category URAGG UnaryRecursiveAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -21856,19 +21860,19 @@ setrest_!(x, empty()) y -@ -<>= +\end{chunk} +\begin{chunk}{URAGG.dotabb} "URAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=URAGG"]; "URAGG" -> "RCAGG" -@ -<>= +\end{chunk} +\begin{chunk}{URAGG.dotfull} "UnaryRecursiveAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=URAGG"]; "UnaryRecursiveAggregate(a:Type)" -> "RecursiveAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{URAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -21892,13 +21896,13 @@ "Category" [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 6} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AbelianGroup}{ABELGRP} \pagepic{ps/v102abeliangroup.ps}{ABELGRP}{0.75} -<>= +\begin{chunk}{AbelianGroup.input} )set break resume )sys rm -f AbelianGroup.output )spool AbelianGroup.output @@ -21928,8 +21932,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AbelianGroup.help} ==================================================================== AbelianGroup examples ==================================================================== @@ -21937,7 +21941,7 @@ See Also: o )show AbelianGroup -@ +\end{chunk} {\bf See:} \pageto{FiniteDivisorCategory}{FDIVCAT} @@ -21994,7 +21998,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category ABELGRP AbelianGroup} )abbrev category ABELGRP AbelianGroup ++ Author: ++ Date Created: @@ -22034,21 +22038,21 @@ n>0 => double(n pretend PositiveInteger,x) double((-n) pretend PositiveInteger,-x) -@ -<>= +\end{chunk} +\begin{chunk}{ABELGRP.dotabb} "ABELGRP" [color=lightblue,href="bookvol10.2.pdf#nameddest=ABELGRP"]; "ABELGRP" -> "CABMON" -@ -<>= +\end{chunk} +\begin{chunk}{ABELGRP.dotfull} "AbelianGroup()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ABELGRP"]; "AbelianGroup()" -> "CancellationAbelianMonoid()" "AbelianGroup()" -> "RepeatedDoubling(AbelianGroup)" -@ -<>= +\end{chunk} +\begin{chunk}{ABELGRP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -22082,12 +22086,12 @@ "SETCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BinaryTreeCategory}{BTCAT} \pagepic{ps/v102binarytreecategory.ps}{BTCAT}{1.00} -<>= +\begin{chunk}{BinaryTreeCategory.input} )set break resume )sys rm -f BinaryTreeCategory.output )spool BinaryTreeCategory.output @@ -22148,8 +22152,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinaryTreeCategory.help} ==================================================================== BinaryTreeCategory examples ==================================================================== @@ -22157,7 +22161,7 @@ See Also: o )show BinaryTreeCategory -@ +\end{chunk} {\bf See:} \pagefrom{BinaryRecursiveAggregate}{BRAGG} @@ -22280,7 +22284,7 @@ ?.left : (%,left) -> % \end{verbatim} -<>= +\begin{chunk}{category BTCAT BinaryTreeCategory} )abbrev category BTCAT BinaryTreeCategory ++ Author:W. H. Burge ++ Date Created:17 Feb 1992 @@ -22335,21 +22339,21 @@ k := treeCount(left t,k) treeCount(right t,k) -@ -<>= +\end{chunk} +\begin{chunk}{BTCAT.dotabb} "BTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=BTCAT"]; "BTCAT" -> "BRAGG" -@ -<>= +\end{chunk} +\begin{chunk}{BTCAT.dotfull} "BinaryTreeCategory(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=BTCAT"]; "BinaryTreeCategory(a:SetCategory)" -> "BinaryRecursiveAggregate(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{BTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -22382,12 +22386,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Dictionary}{DIAGG} \pagepic{ps/v102dictionary.ps}{DIAGG}{1.00} -<>= +\begin{chunk}{Dictionary.input} )set break resume )sys rm -f Dictionary.output )spool Dictionary.output @@ -22448,8 +22452,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Dictionary.help} ==================================================================== Dictionary examples ==================================================================== @@ -22457,7 +22461,7 @@ See Also: o )show Dictionary -@ +\end{chunk} {\bf See:} \pageto{FiniteSetAggregate}{FSAGG} @@ -22585,7 +22589,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category DIAGG Dictionary} )abbrev category DIAGG Dictionary ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -22629,13 +22633,13 @@ for m in parts t repeat if f m then remove_!(m, t) t -@ -<>= +\end{chunk} +\begin{chunk}{DIAGG.dotabb} "DIAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIAGG"]; "DIAGG" -> "DIOPS" -@ -<>= +\end{chunk} +\begin{chunk}{DIAGG.dotfull} "Dictionary(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIAGG"]; "Dictionary(a:SetCategory)" -> "DictionaryOperations(a:SetCategory)" @@ -22645,8 +22649,8 @@ "Dictionary(Record(a:SetCategory,b:SetCategory))" -> "Dictionary(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{DIAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -22683,12 +22687,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DequeueAggregate}{DQAGG} \pagepic{ps/v102dequeueaggregate.ps}{DQAGG}{1.00} -<>= +\begin{chunk}{DequeueAggregate.input} )set break resume )sys rm -f DequeueAggregate.output )spool DequeueAggregate.output @@ -22745,8 +22749,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DequeueAggregate.help} ==================================================================== DequeueAggregate examples ==================================================================== @@ -22754,7 +22758,7 @@ See Also: o )show DequeueAggregate -@ +\end{chunk} {\bf See:} \pagefrom{QueueAggregate}{QUAGG} @@ -22893,7 +22897,7 @@ rotate! : % -> % \end{verbatim} -<>= +\begin{chunk}{category DQAGG DequeueAggregate} )abbrev category DQAGG DequeueAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -22943,14 +22947,14 @@ ++ reverse!(d) destructively replaces d by its reverse dequeue, i.e. ++ the top (front) element is now the bottom (back) element, and so on. -@ -<>= +\end{chunk} +\begin{chunk}{DQAGG.dotabb} "DQAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=DQAGG"]; "DQAGG" -> "SKAGG" "DQAGG" -> "QUAGG" -@ -<>= +\end{chunk} +\begin{chunk}{DQAGG.dotfull} "DequeueAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DQAGG"]; "DequeueAggregate(a:Type)" -> "StackAggregate(a:Type)" @@ -22960,8 +22964,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=DQAGG"]; "DequeueAggregate(a:SetCategory)" -> "DequeueAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{DQAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -22986,12 +22990,12 @@ "..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ExtensibleLinearAggregate}{ELAGG} \pagepic{ps/v102extensiblelinearaggregate.ps}{ELAGG}{0.90} -<>= +\begin{chunk}{ExtensibleLinearAggregate.input} )set break resume )sys rm -f ExtensibleLinearAggregate.output )spool ExtensibleLinearAggregate.output @@ -23074,8 +23078,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ExtensibleLinearAggregate.help} ==================================================================== ExtensibleLinearAggregate examples ==================================================================== @@ -23083,7 +23087,7 @@ See Also: o )show ExtensibleLinearAggregate -@ +\end{chunk} {\bf See:} \pageto{ListAggregate}{LSAGG} @@ -23262,7 +23266,7 @@ ?.? : (%,UniversalSegment Integer) -> % \end{verbatim} -<>= +\begin{chunk}{category ELAGG ExtensibleLinearAggregate} )abbrev category ELAGG ExtensibleLinearAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -23336,19 +23340,19 @@ if S has OrderedSet then merge_!(x, y) == merge_!(_<$S, x, y) -@ -<>= +\end{chunk} +\begin{chunk}{ELAGG.dotabb} "ELAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELAGG"]; "ELAGG" -> "LNAGG" -@ -<>= +\end{chunk} +\begin{chunk}{ELAGG.dotfull} "ExtensibleLinearAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=ELAGG"]; "ExtensibleLinearAggregate(a:Type)" -> "LinearAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{ELAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -23377,12 +23381,12 @@ "..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteLinearAggregate}{FLAGG} \pagepic{ps/v102finitelinearaggregate.ps}{FLAGG}{0.90} -<>= +\begin{chunk}{FiniteLinearAggregate.input} )set break resume )sys rm -f FiniteLinearAggregate.output )spool FiniteLinearAggregate.output @@ -23475,8 +23479,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteLinearAggregate.help} ==================================================================== FiniteLinearAggregate examples ==================================================================== @@ -23484,7 +23488,7 @@ See Also: o )show FiniteLinearAggregate -@ +\end{chunk} {\bf See:} \pageto{OneDimensionalArrayAggregate}{A1AGG} @@ -23698,7 +23702,7 @@ ?>=? : (%,%) -> Boolean if S has ORDSET \end{verbatim} -<>= +\begin{chunk}{category FLAGG FiniteLinearAggregate} )abbrev category FLAGG FiniteLinearAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -23784,19 +23788,19 @@ if S has OrderedSet then sort_! l == sort_!(_<$S, l) -@ -<>= +\end{chunk} +\begin{chunk}{FLAGG.dotabb} "FLAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLAGG"]; "FLAGG" -> "LNAGG" -@ -<>= +\end{chunk} +\begin{chunk}{FLAGG.dotfull} "FiniteLinearAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLAGG"]; "FiniteLinearAggregate(a:Type)" -> "LinearAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{FLAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -23829,12 +23833,12 @@ "..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FreeAbelianMonoidCategory}{FAMONC} \pagepic{ps/v102freeabelianmonoidcategory.ps}{FAMONC}{0.50} -<>= +\begin{chunk}{FreeAbelianMonoidCategory.input} )set break resume )sys rm -f FreeAbelianMonoidCategory.output )spool FreeAbelianMonoidCategory.output @@ -23870,8 +23874,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeAbelianMonoidCategory.help} ==================================================================== FreeAbelianMonoidCategory examples ==================================================================== @@ -23879,7 +23883,7 @@ See Also: o )show FreeAbelianMonoidCategory -@ +\end{chunk} {\bf See:} \pagefrom{CancellationAbelianMonoid}{CABMON} @@ -23948,7 +23952,7 @@ retractIfCan : % -> Union(S,"failed") \end{verbatim} -<>= +\begin{chunk}{category FAMONC FreeAbelianMonoidCategory} )abbrev category FAMONC FreeAbelianMonoidCategory ++ Category for free abelian monoid on any set of generators ++ Author: Manuel Bronstein @@ -23991,15 +23995,15 @@ ++ where ci ranges in the intersection ++ of \spad{{a1,...,an}} and \spad{{b1,...,bm}}. -@ -<>= +\end{chunk} +\begin{chunk}{FAMONC.dotabb} "FAMONC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FAMONC"]; "FAMONC" -> "CABMON" "FAMONC" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{FAMONC.dotfull} "FreeAbelianMonoidCategory(a:SetCategory,b:CancellationAbelianMonoid)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FAMONC"]; "FreeAbelianMonoidCategory(a:SetCategory,b:CancellationAbelianMonoid)" -> @@ -24007,8 +24011,8 @@ "FreeAbelianMonoidCategory(a:SetCategory,b:CancellationAbelianMonoid)" -> "RetractableTo(SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{FAMONC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -24062,12 +24066,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MultiDictionary}{MDAGG} \pagepic{ps/v102multidictionary.ps}{MDAGG}{0.90} -<>= +\begin{chunk}{MultiDictionary.input} )set break resume )sys rm -f MultiDictionary.output )spool MultiDictionary.output @@ -24130,8 +24134,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MultiDictionary.help} ==================================================================== MultiDictionary examples ==================================================================== @@ -24139,7 +24143,7 @@ See Also: o )show MultiDictionary -@ +\end{chunk} {\bf See:} \pageto{MultisetAggregate}{MSETAGG} @@ -24268,7 +24272,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category MDAGG MultiDictionary} )abbrev category MDAGG MultiDictionary ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -24299,19 +24303,19 @@ -- ++ duplicates(d) returns a list of ++ duplicates iterator -- to become duplicates: % -> Iterator(D,D) -@ -<>= +\end{chunk} +\begin{chunk}{MDAGG.dotabb} "MDAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=MDAGG"]; "MDAGG" -> "DIOPS" -@ -<>= +\end{chunk} +\begin{chunk}{MDAGG.dotfull} "MultiDictionary(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=MDAGG"]; "MultiDictionary(a:SetCategory)" -> "DictionaryOperations(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{MDAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -24342,12 +24346,12 @@ "..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedAbelianMonoid}{OAMON} \pagepic{ps/v102orderedabelianmonoid.ps}{OAMON}{1.00} -<>= +\begin{chunk}{OrderedAbelianMonoid.input} )set break resume )sys rm -f OrderedAbelianMonoid.output )spool OrderedAbelianMonoid.output @@ -24377,8 +24381,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedAbelianMonoid.help} ==================================================================== OrderedAbelianMonoid examples ==================================================================== @@ -24386,7 +24390,7 @@ See Also: o )show OrderedAbelianMonoid -@ +\end{chunk} {\bf See:} \pageto{OrderedCancellationAbelianMonoid}{OCAMON} @@ -24439,7 +24443,7 @@ ?*? : (NonNegativeInteger,%) -> % \end{verbatim} -<>= +\begin{chunk}{category OAMON OrderedAbelianMonoid} )abbrev category OAMON OrderedAbelianMonoid ++ Author: ++ Date Created: @@ -24457,21 +24461,21 @@ OrderedAbelianMonoid(): Category == Join(OrderedAbelianSemiGroup, AbelianMonoid) -@ -<>= +\end{chunk} +\begin{chunk}{OAMON.dotabb} "OAMON" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAMON"]; "OAMON" -> "OASGP" "OAMON" -> "ABELMON" -@ -<>= +\end{chunk} +\begin{chunk}{OAMON.dotfull} "OrderedAbelianMonoid()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAMON"]; "OrderedAbelianMonoid()" -> "OrderedAbelianSemiGroup()" "OrderedAbelianMonoid()" -> "AbelianMonoid()" -@ -<>= +\end{chunk} +\begin{chunk}{OAMON.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -24495,12 +24499,12 @@ "ABELSG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PermutationCategory}{PERMCAT} \pagepic{ps/v102permutationcategory.ps}{PERMCAT}{0.65} -<>= +\begin{chunk}{PermutationCategory.input} )set break resume )sys rm -f PermutationCategory.output )spool PermutationCategory.output @@ -24540,8 +24544,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PermutationCategory.help} ==================================================================== PermutationCategory examples ==================================================================== @@ -24549,7 +24553,7 @@ See Also: o )show PermutationCategory -@ +\end{chunk} {\bf See:} \pagefrom{Group}{GROUP} @@ -24637,7 +24641,7 @@ ?>=? : (%,%) -> Boolean if S has ORDSET or S has FINITE \end{verbatim} -<>= +\begin{chunk}{category PERMCAT PermutationCategory} )abbrev category PERMCAT PermutationCategory ++ Authors: Holger Gollan, Johannes Grabmeier, Gerhard Schneider ++ Date Created: 27 July 1989 @@ -24682,20 +24686,20 @@ if S has OrderedSet then OrderedSet if S has Finite then OrderedSet -@ -<>= +\end{chunk} +\begin{chunk}{PERMCAT.dotabb} "PERMCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PERMCAT"]; "PERMCAT" -> "GROUP" -@ -<>= +\end{chunk} +\begin{chunk}{PERMCAT.dotfull} "PermutationCategory(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PERMCAT"]; "PermutationCategory(a:SetCategory)" -> "Group()" -@ -<>= +\end{chunk} +\begin{chunk}{PERMCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -24743,12 +24747,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{StreamAggregate}{STAGG} \pagepic{ps/v102streamaggregate.ps}{STAGG}{0.60} -<>= +\begin{chunk}{StreamAggregate.input} )set break resume )sys rm -f StreamAggregate.output )spool StreamAggregate.output @@ -24850,8 +24854,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StreamAggregate.help} ==================================================================== StreamAggregate examples ==================================================================== @@ -24859,7 +24863,7 @@ See Also: o )show StreamAggregate -@ +\end{chunk} {\bf See:} \pageto{LazyStreamAggregate}{LZSTAGG} @@ -25107,7 +25111,7 @@ if $ has shallowlyMutable \end{verbatim} -<>= +\begin{chunk}{category STAGG StreamAggregate} )abbrev category STAGG StreamAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -25201,21 +25205,21 @@ setrest_!(tail x, y) x -@ -<>= +\end{chunk} +\begin{chunk}{STAGG.dotabb} "STAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=STAGG"]; "STAGG" -> "RCAGG" "STAGG" -> "LNAGG" -@ -<>= +\end{chunk} +\begin{chunk}{STAGG.dotfull} "StreamAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=STAGG"]; "StreamAggregate(a:Type)" -> "UnaryRecursiveAggregate(a:Type)" "StreamAggregate(a:Type)" -> "LinearAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{STAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -25253,12 +25257,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{TriangularSetCategory}{TSETCAT} \pagepic{ps/v102triangularsetcategory.ps}{TSETCAT}{0.35} -<>= +\begin{chunk}{TriangularSetCategory.input} )set break resume )sys rm -f TriangularSetCategory.output )spool TriangularSetCategory.output @@ -25350,8 +25354,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TriangularSetCategory.help} ==================================================================== TriangularSetCategory examples ==================================================================== @@ -25359,7 +25363,7 @@ See Also: o )show TriangularSetCategory -@ +\end{chunk} {\bf See:} \pageto{RegularTriangularSetCategory}{RSETCAT} @@ -25581,7 +25585,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category TSETCAT TriangularSetCategory} )abbrev category TSETCAT TriangularSetCategory ++ Author: Marc Moreno Maza (marc@nag.co.uk) ++ Date Created: 04/26/1994 @@ -26079,14 +26083,14 @@ m := #(members ts) subtractIfCan(n,m)$NonNegativeInteger::NonNegativeInteger -@ -<>= +\end{chunk} +\begin{chunk}{TSETCAT.dotabb} "TSETCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=TSETCAT"]; "TSETCAT" -> "PSETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{TSETCAT.dotfull} "TriangularSetCategory(a:IntegralDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=TSETCAT"]; "TriangularSetCategory(a:IntegralDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" @@ -26098,8 +26102,8 @@ -> "TriangularSetCategory(a:IntegralDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -@ -<>= +\end{chunk} +\begin{chunk}{TSETCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -26168,13 +26172,13 @@ "Category" [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 7} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteDivisorCategory}{FDIVCAT} \pagepic{ps/v102finitedivisorcategory.ps}{FDIVCAT}{0.75} -<>= +\begin{chunk}{FiniteDivisorCategory.input} )set break resume )sys rm -f FiniteDivisorCategory.output )spool FiniteDivisorCategory.output @@ -26211,8 +26215,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteDivisorCategory.help} ==================================================================== FiniteDivisorCategory examples ==================================================================== @@ -26220,7 +26224,7 @@ See Also: o )show FiniteDivisorCategory -@ +\end{chunk} {\bf See:} \pagefrom{AbelianGroup}{ABELGRP} @@ -26287,7 +26291,7 @@ ?*? : (NonNegativeInteger,%) -> % \end{verbatim} -<>= +\begin{chunk}{category FDIVCAT FiniteDivisorCategory} )abbrev category FDIVCAT FiniteDivisorCategory ++ Category for finite rational divisors on a curve ++ Author: Manuel Bronstein @@ -26341,20 +26345,20 @@ add principal? d == generator(d) case R -@ -<>= +\end{chunk} +\begin{chunk}{FDIVCAT.dotabb} "FDIVCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FDIVCAT"]; "FDIVCAT" -> "ABELGRP" -@ -<>= +\end{chunk} +\begin{chunk}{FDIVCAT.dotfull} "FiniteDivisorCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FDIVCAT"]; "FiniteDivisorCategory()" -> "AbelianGroup()" -@ -<>= +\end{chunk} +\begin{chunk}{FDIVCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -26391,12 +26395,12 @@ "SETCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteSetAggregate}{FSAGG} \pagepic{ps/v102finitesetaggregate.ps}{FSAGG}{0.75} -<>= +\begin{chunk}{FiniteSetAggregate.input} )set break resume )sys rm -f FiniteSetAggregate.output )spool FiniteSetAggregate.output @@ -26469,8 +26473,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteSetAggregate.help} ==================================================================== FiniteSetAggregate examples ==================================================================== @@ -26478,7 +26482,7 @@ See Also: o )show FiniteSetAggregate -@ +\end{chunk} {\bf See:} \pagefrom{Dictionary}{DIAGG} @@ -26664,7 +26668,7 @@ union : (S,%) -> % \end{verbatim} -<>= +\begin{chunk}{category FSAGG FiniteSetAggregate} )abbrev category FSAGG FiniteSetAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -26758,21 +26762,21 @@ empty?(l := parts s) => error "Empty set" reduce("min", l) -@ -<>= +\end{chunk} +\begin{chunk}{FSAGG.dotabb} "FSAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FSAGG"]; "FSAGG" -> "DIAGG" "FSAGG" -> "SETAGG" -@ -<>= +\end{chunk} +\begin{chunk}{FSAGG.dotfull} "FiniteSetAggregate(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FSAGG"]; "FiniteSetAggregate(a:SetCategory)" -> "Dictionary(a:SetCategory)" "FiniteSetAggregate(a:SetCategory)" -> "SetAggregate(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{FSAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -26803,12 +26807,12 @@ "KOERCE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{KeyedDictionary}{KDAGG} \pagepic{ps/v102keyeddictionary.ps}{KDAGG}{1.00} -<>= +\begin{chunk}{KeyedDictionary.input} )set break resume )sys rm -f KeyedDictionary.output )spool KeyedDictionary.output @@ -26875,8 +26879,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{KeyedDictionary.help} ==================================================================== KeyedDictionary examples ==================================================================== @@ -26884,7 +26888,7 @@ See Also: o )show KeyedDictionary -@ +\end{chunk} {\bf See:} \pageto{TableAggregate}{TBAGG} @@ -27035,7 +27039,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category KDAGG KeyedDictionary} )abbrev category KDAGG KeyedDictionary ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -27075,20 +27079,20 @@ if % has finiteAggregate then keys t == [x.key for x in parts t] -@ -<>= +\end{chunk} +\begin{chunk}{KDAGG.dotabb} "KDAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=KDAGG"]; "KDAGG" -> "DIAGG" -@ -<>= +\end{chunk} +\begin{chunk}{KDAGG.dotfull} "KeyedDictionary(a:SetCategory,b:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=KDAGG"]; "KeyedDictionary(a:SetCategory,b:SetCategory)" -> "Dictionary(Record(a:SetCategory,b:SetCategory))" -@ -<>= +\end{chunk} +\begin{chunk}{KDAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -27124,12 +27128,12 @@ "HOAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LazyStreamAggregate}{LZSTAGG} \pagepic{ps/v102lazystreamaggregate.ps}{LZSTAGG}{0.65} -<>= +\begin{chunk}{LazyStreamAggregate.input} )set break resume )sys rm -f LazyStreamAggregate.output )spool LazyStreamAggregate.output @@ -27235,8 +27239,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LazyStreamAggregate.help} ==================================================================== LazyStreamAggregate examples ==================================================================== @@ -27244,7 +27248,7 @@ See Also: o )show LazyStreamAggregate -@ +\end{chunk} {\bf See:} \pagefrom{StreamAggregate}{STAGG} @@ -27492,7 +27496,7 @@ ?~=? : (%,%) -> Boolean if S has SETCAT \end{verbatim} -<>= +\begin{chunk}{category LZSTAGG LazyStreamAggregate} )abbrev category LZSTAGG LazyStreamAggregate ++ Category of streams with lazy evaluation ++ Author: Clifton J. Williamson @@ -28012,20 +28016,20 @@ while not empty? y repeat y := rst y x -@ -<>= +\end{chunk} +\begin{chunk}{LZSTAGG.dotabb} "LZSTAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=LZSTAGG"]; "LZSTAGG" -> "STAGG" -@ -<>= +\end{chunk} +\begin{chunk}{LZSTAGG.dotfull} "LazyStreamAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LZSTAGG"]; "LazyStreamAggregate(a:Type)" -> "StreamAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{LZSTAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -28062,12 +28066,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LeftModule}{LMODULE} \pagepic{ps/v102leftmodule.ps}{LMODULE}{0.90} -<>= +\begin{chunk}{LeftModule.input} )set break resume )sys rm -f LeftModule.output )spool LeftModule.output @@ -28097,8 +28101,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LeftModule.help} ==================================================================== LeftModule examples ==================================================================== @@ -28106,7 +28110,7 @@ See Also: o )show LeftModule -@ +\end{chunk} {\bf See:} \pageto{BiModule}{BMODULE} @@ -28156,7 +28160,7 @@ -? : % -> % \end{verbatim} -<>= +\begin{chunk}{category LMODULE LeftModule} )abbrev category LMODULE LeftModule ++ Author: ++ Date Created: @@ -28182,14 +28186,14 @@ ++ r*x returns the left multiplication of the module element x ++ by the ring element r. -@ -<>= +\end{chunk} +\begin{chunk}{LMODULE.dotabb} "LMODULE" [color=lightblue,href="bookvol10.2.pdf#nameddest=LMODULE"]; "LMODULE" -> "ABELGRP" -@ -<>= +\end{chunk} +\begin{chunk}{LMODULE.dotfull} "LeftModule(a:Rng)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LMODULE"]; "LeftModule(a:Rng)" -> "AbelianGroup()" @@ -28198,8 +28202,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=LMODULE"]; "LeftModule(a:Ring)" -> "LeftModule(a:Rng)" -@ -<>= +\end{chunk} +\begin{chunk}{LMODULE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -28226,12 +28230,12 @@ "ABELMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ListAggregate}{LSAGG} \pagepic{ps/v102listaggregate.ps}{LSAGG}{0.60} -<>= +\begin{chunk}{ListAggregate.input} )set break resume )sys rm -f ListAggregate.output )spool ListAggregate.output @@ -28360,8 +28364,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ListAggregate.help} ==================================================================== ListAggregate examples ==================================================================== @@ -28369,7 +28373,7 @@ See Also: o )show ListAggregate -@ +\end{chunk} {\bf See:} \pageto{AssociationListAggregate}{ALAGG} @@ -28669,7 +28673,7 @@ select! : ((S -> Boolean),%) -> % \end{verbatim} -<>= +\begin{chunk}{category LSAGG ListAggregate} )abbrev category LSAGG ListAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -28889,14 +28893,14 @@ empty? x => not empty? y false -@ -<>= +\end{chunk} +\begin{chunk}{LSAGG.dotabb} "LSAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=LSAGG"]; "LSAGG" -> "FLAGG" "LSAGG" -> "ELAGG" -@ -<>= +\end{chunk} +\begin{chunk}{LSAGG.dotfull} "ListAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LSAGG"]; "ListAggregate(a:Type)" -> "StreamAggregate(a:Type)" @@ -28908,8 +28912,8 @@ "ListAggregate(Record(a:SetCategory,b:SetCategory))" -> "ListAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{LSAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -28942,12 +28946,12 @@ "RCAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MultisetAggregate}{MSETAGG} \pagepic{ps/v102multisetaggregate.ps}{MSETAGG}{0.80} -<>= +\begin{chunk}{MultisetAggregate.input} )set break resume )sys rm -f MultisetAggregate.output )spool MultisetAggregate.output @@ -29015,8 +29019,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MultisetAggregate.help} ==================================================================== MultisetAggregate examples ==================================================================== @@ -29024,7 +29028,7 @@ See Also: o )show MultisetAggregate -@ +\end{chunk} {\bf See:} \pageto{OrderedMultisetAggregate}{OMSAGG} @@ -29177,7 +29181,7 @@ ? Boolean \end{verbatim} -<>= +\begin{chunk}{category MSETAGG MultisetAggregate} )abbrev category MSETAGG MultisetAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -29195,22 +29199,22 @@ MultisetAggregate(S:SetCategory): Category == Join(MultiDictionary S, SetAggregate S) -@ -<>= +\end{chunk} +\begin{chunk}{MSETAGG.dotabb} "MSETAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=MSETAGG"]; "MSETAGG" -> "MDAGG" "MSETAGG" -> "SETAGG" -@ -<>= +\end{chunk} +\begin{chunk}{MSETAGG.dotfull} "MultisetAggregate(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=MSETAGG"]; "MultisetAggregate(a:SetCategory)" -> "MultiDictionary(a:SetCategory)" "MultisetAggregate(a:SetCategory)" -> "SetAggregate(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{MSETAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -29236,12 +29240,12 @@ "SETAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{NonAssociativeRng}{NARNG} \pagepic{ps/v102nonassociativerng.ps}{NARNG}{1.00} -<>= +\begin{chunk}{NonAssociativeRng.input} )set break resume )sys rm -f NonAssociativeRng.output )spool NonAssociativeRng.output @@ -29275,8 +29279,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NonAssociativeRng.help} ==================================================================== NonAssociativeRng examples ==================================================================== @@ -29284,7 +29288,7 @@ See Also: o )show NonAssociativeRng -@ +\end{chunk} {\bf See:} \pageto{NonAssociativeAlgebra}{NAALG} @@ -29350,7 +29354,7 @@ ?**? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category NARNG NonAssociativeRng} )abbrev category NARNG NonAssociativeRng ++ Author: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -29385,22 +29389,22 @@ commutator(x,y) == x*y - y*x antiCommutator(x,y) == x*y + y*x -@ -<>= +\end{chunk} +\begin{chunk}{NARNG.dotabb} "NARNG" [color=lightblue,href="bookvol10.2.pdf#nameddest=NARNG"]; "NARNG" -> "ABELGRP" "NARNG" -> "MONAD" -@ -<>= +\end{chunk} +\begin{chunk}{NARNG.dotfull} "NonAssociativeRng()" [color=lightblue,href="bookvol10.2.pdf#nameddest=NARNG"]; "NonAssociativeRng()" -> "AbelianGroup()" "NonAssociativeRng()" -> "Monad()" -@ -<>= +\end{chunk} +\begin{chunk}{NARNG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -29433,12 +29437,12 @@ "SETCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OneDimensionalArrayAggregate}{A1AGG} \pagepic{ps/v102onedimensionalarrayaggregate.ps}{A1AGG}{1.00} -<>= +\begin{chunk}{OneDimensionalArrayAggregate.input} )set break resume )sys rm -f OneDimensionalArrayAggregate.output )spool OneDimensionalArrayAggregate.output @@ -29531,8 +29535,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OneDimensionalArrayAggregate.help} ==================================================================== OneDimensionalArrayAggregate examples ==================================================================== @@ -29540,7 +29544,7 @@ See Also: o )show OneDimensionalArrayAggregate -@ +\end{chunk} {\bf See:} \pageto{BitAggregate}{BTAGG} @@ -29740,7 +29744,7 @@ ?<=? : (%,%) -> Boolean if S has ORDSET \end{verbatim} -<>= +\begin{chunk}{category A1AGG OneDimensionalArrayAggregate} )abbrev category A1AGG OneDimensionalArrayAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -29987,13 +29991,13 @@ #a < #b -@ -<>= +\end{chunk} +\begin{chunk}{A1AGG.dotabb} "A1AGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=A1AGG"]; "A1AGG" -> "FLAGG" -@ -<>= +\end{chunk} +\begin{chunk}{A1AGG.dotfull} "OneDimensionalArrayAggregate(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=A1AGG"]; "OneDimensionalArrayAggregate(a:Type)" -> @@ -30009,8 +30013,8 @@ "OneDimensionalArrayAggregate(Boolean)" -> "OneDimensionalArrayAggregate(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{A1AGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -30034,12 +30038,12 @@ "IXAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedCancellationAbelianMonoid}{OCAMON} \pagepic{ps/v102orderedcancellationabelianmonoid.ps}{OCAMON}{0.75} -<>= +\begin{chunk}{OrderedCancellationAbelianMonoid.input} )set break resume )sys rm -f OrderedCancellationAbelianMonoid.output )spool OrderedCancellationAbelianMonoid.output @@ -30070,8 +30074,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedCancellationAbelianMonoid.help} ==================================================================== OrderedCancellationAbelianMonoid examples ==================================================================== @@ -30079,7 +30083,7 @@ See Also: o )show OrderedCancellationAbelianMonoid -@ +\end{chunk} {\bf See:} \pageto{OrderedAbelianGroup}{OAGROUP} @@ -30135,7 +30139,7 @@ subtractIfCan : (%,%) -> Union(%,"failed") \end{verbatim} -<>= +\begin{chunk}{category OCAMON OrderedCancellationAbelianMonoid} )abbrev category OCAMON OrderedCancellationAbelianMonoid ++ Author: ++ Date Created: @@ -30153,22 +30157,22 @@ OrderedCancellationAbelianMonoid(): Category == Join(OrderedAbelianMonoid, CancellationAbelianMonoid) -@ -<>= +\end{chunk} +\begin{chunk}{OCAMON.dotabb} "OCAMON" [color=lightblue,href="bookvol10.2.pdf#nameddest=OCAMON"]; "OCAMON" -> "OAMON" "OCAMON" -> "CABMON" -@ -<>= +\end{chunk} +\begin{chunk}{OCAMON.dotfull} "OrderedCancellationAbelianMonoid()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OCAMON"]; "OrderedCancellationAbelianMonoid()" -> "OrderedAbelianMonoid()" "OrderedCancellationAbelianMonoid()" -> "CancellationAbelianMonoid()" -@ -<>= +\end{chunk} +\begin{chunk}{OCAMON.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -30199,12 +30203,12 @@ "ABELSG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RegularTriangularSetCategory}{RSETCAT} \pagepic{ps/v102regulartriangularsetcategory.ps}{RSETCAT}{0.35} -<>= +\begin{chunk}{RegularTriangularSetCategory.input} )set break resume )sys rm -f RegularTriangularSetCategory.output )spool RegularTriangularSetCategory.output @@ -30317,8 +30321,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RegularTriangularSetCategory.help} ==================================================================== RegularTriangularSetCategory examples ==================================================================== @@ -30326,7 +30330,7 @@ See Also: o )show RegularTriangularSetCategory -@ +\end{chunk} {\bf See:} \pageto{NormalizedTriangularSetCategory}{NTSCAT} @@ -30584,7 +30588,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category RSETCAT RegularTriangularSetCategory} )abbrev category RSETCAT RegularTriangularSetCategory ++ Author: Marc Moreno Maza ++ Date Created: 09/03/1998 @@ -30926,22 +30930,22 @@ intersect(p: P,lts: List $): List $ == intersect([p],lts) -@ -<>= +\end{chunk} +\begin{chunk}{RSETCAT.dotabb} "RSETCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=RSETCAT"]; "RSETCAT" -> "TSETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{RSETCAT.dotfull} "RegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=RSETCAT"]; "RegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -> "TriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -@ -<>= +\end{chunk} +\begin{chunk}{RSETCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -30982,12 +30986,12 @@ "CLAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RightModule}{RMODULE} \pagepic{ps/v102rightmodule.ps}{RMODULE}{1.00} -<>= +\begin{chunk}{RightModule.input} )set break resume )sys rm -f RightModule.output )spool RightModule.output @@ -31017,8 +31021,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RightModule.help} ==================================================================== RightModule examples ==================================================================== @@ -31026,7 +31030,7 @@ See Also: o )show RightModule -@ +\end{chunk} {\bf See:} \pageto{BiModule}{BMODULE} @@ -31074,7 +31078,7 @@ -? : % -> % \end{verbatim} -<>= +\begin{chunk}{category RMODULE RightModule} )abbrev category RMODULE RightModule ++ Author: ++ Date Created: @@ -31100,14 +31104,14 @@ ++ x*r returns the right multiplication of the module element x ++ by the ring element r. -@ -<>= +\end{chunk} +\begin{chunk}{RMODULE.dotabb} "RMODULE" [color=lightblue,href="bookvol10.2.pdf#nameddest=RMODULE"]; "RMODULE" -> "ABELGRP" -@ -<>= +\end{chunk} +\begin{chunk}{RMODULE.dotfull} "RightModule(a:Rng)" [color=lightblue,href="bookvol10.2.pdf#nameddest=RMODULE"]; "RightModule(a:Rng)" -> "AbelianGroup()" @@ -31116,8 +31120,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=RMODULE"]; "RightModule(a:Ring)" -> "RightModule(a:Rng)" -@ -<>= +\end{chunk} +\begin{chunk}{RMODULE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -31137,14 +31141,14 @@ "REPDB..." [color="#00EE00"]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Rng}{RNG} \pagepic{ps/v102rng.ps}{RNG}{0.90} Rng is a Ring that does not necessarily have a unit. -<>= +\begin{chunk}{Rng.input} )set break resume )sys rm -f Rng.output )spool Rng.output @@ -31175,8 +31179,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Rng.help} ==================================================================== Rng examples ==================================================================== @@ -31184,7 +31188,7 @@ See Also: o )show Rng -@ +\end{chunk} {\bf See:} @@ -31238,7 +31242,7 @@ ?^? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category RNG Rng} )abbrev category RNG Rng ++ Author: ++ Date Created: @@ -31263,20 +31267,20 @@ Rng(): Category == Join(AbelianGroup,SemiGroup) -@ -<>= +\end{chunk} +\begin{chunk}{RNG.dotabb} "RNG" [color=lightblue,href="bookvol10.2.pdf#nameddest=RNG"]; "RNG" -> "ABELGRP" "RNG" -> "SGROUP" -@ -<>= +\end{chunk} +\begin{chunk}{RNG.dotfull} "Rng()" [color=lightblue,href="bookvol10.2.pdf#nameddest=RNG"]; "Rng()" -> "AbelianGroup()" "Rng()" -> "SemiGroup()" -@ -<>= +\end{chunk} +\begin{chunk}{RNG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -31309,13 +31313,13 @@ "SETCAT..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 8} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BiModule}{BMODULE} \pagepic{ps/v102bimodule.ps}{BMODULE}{1.00} -<>= +\begin{chunk}{BiModule.input} )set break resume )sys rm -f BiModule.output )spool BiModule.output @@ -31346,8 +31350,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BiModule.help} ==================================================================== BiModule examples ==================================================================== @@ -31355,7 +31359,7 @@ See Also: o )show BiModule -@ +\end{chunk} {\bf See:} \pageto{AbelianMonoidRing}{AMR} @@ -31423,7 +31427,7 @@ ?*? : (%,S) -> % \end{verbatim} -<>= +\begin{chunk}{category BMODULE BiModule} )abbrev category BMODULE BiModule ++ Author: ++ Date Created: @@ -31448,15 +31452,15 @@ rightUnitary ++ \spad{x * 1 = x} -@ -<>= +\end{chunk} +\begin{chunk}{BMODULE.dotabb} "BMODULE" [color=lightblue,href="bookvol10.2.pdf#nameddest=BMODULE"]; "BMODULE" -> "LMODULE" "BMODULE" -> "RMODULE" -@ -<>= +\end{chunk} +\begin{chunk}{BMODULE.dotfull} "BiModule(a:Ring,b:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=BMODULE"]; "BiModule(a:Ring,b:Ring)" -> "LeftModule(a:Ring)" @@ -31470,8 +31474,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=BMODULE"]; "BiModule(a:Ring,b:OrderedAbelianMonoid)" -> "BiModule(a:Ring,b:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{BMODULE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -31504,12 +31508,12 @@ "REPDB..." [color="#00EE00"]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BitAggregate}{BTAGG} \pagepic{ps/v102bitaggregate.ps}{BTAGG}{0.65} -<>= +\begin{chunk}{BitAggregate.input} )set break resume )sys rm -f BitAggregate.output )spool BitAggregate.output @@ -31604,8 +31608,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BitAggregate.help} ==================================================================== BitAggregate examples ==================================================================== @@ -31613,7 +31617,7 @@ See Also: o )show BitAggregate -@ +\end{chunk} {\bf See:} \pagefrom{Logic}{LOGIC} @@ -31849,7 +31853,7 @@ ?.? : (%,Integer) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category BTAGG BitAggregate} )abbrev category BTAGG BitAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -31897,23 +31901,23 @@ nand(v, u) == map(nand, v, u) nor(v, u) == map(nor, v, u) -@ -<>= +\end{chunk} +\begin{chunk}{BTAGG.dotabb} "BTAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=BTAGG"]; "BTAGG" -> "ORDSET" "BTAGG" -> "LOGIC" "BTAGG" -> "A1AGG" -@ -<>= +\end{chunk} +\begin{chunk}{BTAGG.dotfull} "BitAggregate()" [color=lightblue,href="bookvol10.2.pdf#nameddest=BTAGG"]; "BitAggregate()" -> "OrderedSet()" "BitAggregate()" -> "Logic()" "BitAggregate()" -> "OneDimensionalArrayAggregate(Boolean)" -@ -<>= +\end{chunk} +\begin{chunk}{BTAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -31965,12 +31969,12 @@ "IXAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{NonAssociativeRing}{NASRING} \pagepic{ps/v102nonassociativering.ps}{NASRING}{1.00} -<>= +\begin{chunk}{NonAssociativeRing.input} )set break resume )sys rm -f NonAssociativeRing.output )spool NonAssociativeRing.output @@ -32012,8 +32016,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NonAssociativeRing.help} ==================================================================== NonAssociativeRing examples ==================================================================== @@ -32021,7 +32025,7 @@ See Also: o )show NonAssociativeRing -@ +\end{chunk} {\bf See:} \pagefrom{MonadWithUnit}{MONADWU} @@ -32105,7 +32109,7 @@ ?**? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category NASRING NonAssociativeRing} )abbrev category NASRING NonAssociativeRing ++ Author: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -32132,22 +32136,22 @@ n:Integer coerce(n) == n * 1$% -@ -<>= +\end{chunk} +\begin{chunk}{NASRING.dotabb} "NASRING" [color=lightblue,href="bookvol10.2.pdf#nameddest=NASRING"]; "NASRING" -> "MONADWU" "NASRING" -> "NARNG" -@ -<>= +\end{chunk} +\begin{chunk}{NASRING.dotfull} "NonAssociativeRing()" [color=lightblue,href="bookvol10.2.pdf#nameddest=NASRING"]; "NonAssociativeRing()" -> "NonAssociativeRng()" "NonAssociativeRing()" -> "MonadWithUnit()" -@ -<>= +\end{chunk} +\begin{chunk}{NASRING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -32188,12 +32192,12 @@ "SETCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{NormalizedTriangularSetCategory}{NTSCAT} \pagepic{ps/v102normalizedtriangularsetcategory.ps}{NTSCAT}{0.45} -<>= +\begin{chunk}{NormalizedTriangularSetCategory.input} )set break resume )sys rm -f NormalizedTriangularSetCategory.output )spool NormalizedTriangularSetCategory.output @@ -32306,8 +32310,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NormalizedTriangularSetCategory.help} ==================================================================== NormalizedTriangularSetCategory examples ==================================================================== @@ -32315,7 +32319,7 @@ See Also: o )show NormalizedTriangularSetCategory -@ +\end{chunk} {\bf See:} \pageto{SquareFreeNormalizedTriangularSetCategory}{SNTSCAT} @@ -32566,7 +32570,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category NTSCAT NormalizedTriangularSetCategory} )abbrev category NTSCAT NormalizedTriangularSetCategory ++ Author: Marc Moreno Maza ++ Date Created: 10/07/1998 @@ -32589,34 +32593,34 @@ ++ algebriques" These, Universite P.etM. Curie, Paris, 1997. ++ Description: ++ The category of normalized triangular sets. A triangular -++ set \spad{ts} is said normalized if for every algebraic -++ variable \spad{v} of \spad{ts} the polynomial \spad{select(ts,v)} -++ is normalized w.r.t. every polynomial in \spad{collectUnder(ts,v)}. -++ A polynomial \spad{p} is said normalized w.r.t. a non-constant -++ polynomial \spad{q} if \spad{p} is constant or \spad{degree(p,mdeg(q)) = 0} -++ and \spad{init(p)} is normalized w.r.t. \spad{q}. One of the important +++ set ts is said normalized if for every algebraic +++ variable v of ts the polynomial select(ts,v) +++ is normalized w.r.t. every polynomial in collectUnder(ts,v). +++ A polynomial p is said normalized w.r.t. a non-constant +++ polynomial q if p is constant or degree(p,mdeg(q)) = 0 +++ and init(p) is normalized w.r.t. q. One of the important ++ features of normalized triangular sets is that they are regular sets. NormalizedTriangularSetCategory(R:GcdDomain,E:OrderedAbelianMonoidSup,_ V:OrderedSet,P:RecursivePolynomialCategory(R,E,V)): Category == RegularTriangularSetCategory(R,E,V,P) -@ -<>= +\end{chunk} +\begin{chunk}{NTSCAT.dotabb} "NTSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=NTSCAT"]; "NTSCAT" -> "RSETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{NTSCAT.dotfull} "NormalizedRegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=NTSCAT"]; "NormalizedRegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -> "RegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -@ -<>= +\end{chunk} +\begin{chunk}{NTSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -32663,12 +32667,12 @@ "CLAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedAbelianGroup}{OAGROUP} \pagepic{ps/v102orderedabeliangroup.ps}{OAGROUP}{1.00} -<>= +\begin{chunk}{OrderedAbelianGroup.input} )set break resume )sys rm -f OrderedAbelianGroup.output )spool OrderedAbelianGroup.output @@ -32701,8 +32705,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedAbelianGroup.help} ==================================================================== OrderedAbelianGroup examples ==================================================================== @@ -32710,7 +32714,7 @@ See Also: o )show OrderedAbelianGroup -@ +\end{chunk} {\bf See:} \pageto{OrderedRing}{ORDRING} @@ -32770,7 +32774,7 @@ ?-? : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category OAGROUP OrderedAbelianGroup} )abbrev category OAGROUP OrderedAbelianGroup ++ Author: ++ Date Created: @@ -32788,22 +32792,22 @@ OrderedAbelianGroup(): Category == Join(OrderedCancellationAbelianMonoid, AbelianGroup) -@ -<>= +\end{chunk} +\begin{chunk}{OAGROUP.dotabb} "OAGROUP" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAGROUP"]; "OAGROUP" -> "OCAMON" "OAGROUP" -> "ABELGRP" -@ -<>= +\end{chunk} +\begin{chunk}{OAGROUP.dotfull} "OrderedAbelianGroup()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAGROUP"]; "OrderedAbelianGroup()" -> "OrderedCancellationAbelianMonoid()" "OrderedAbelianGroup()" -> "AbelianGroup()" -@ -<>= +\end{chunk} +\begin{chunk}{OAGROUP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -32826,12 +32830,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedAbelianMonoidSup}{OAMONS} \pagepic{ps/v102orderedabelianmonoidsup.ps}{OAMONS}{0.80} -<>= +\begin{chunk}{OrderedAbelianMonoidSup.input} )set break resume )sys rm -f OrderedAbelianMonoidSup.output )spool OrderedAbelianMonoidSup.output @@ -32863,8 +32867,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedAbelianMonoidSup.help} ==================================================================== OrderedAbelianMonoidSup examples ==================================================================== @@ -32872,7 +32876,7 @@ See Also: o )show OrderedAbelianMonoidSup -@ +\end{chunk} {\bf See:} \pagefrom{DirectProductCategory}{DIRPCAT} @@ -32929,7 +32933,7 @@ \end{verbatim} -<>= +\begin{chunk}{category OAMONS OrderedAbelianMonoidSup} )abbrev category OAMONS OrderedAbelianMonoidSup ++ Author: ++ Date Created: @@ -32941,36 +32945,36 @@ ++ Keywords: ++ References: ++ Description: -++ This domain is an OrderedAbelianMonoid with a \spadfun{sup} -++ operation added. The purpose of the \spadfun{sup} operator +++ This domain is an OrderedAbelianMonoid with a sup +++ operation added. The purpose of the sup operator ++ in this domain is to act as a supremum with respect to the -++ partial order imposed by \spadop{-}, rather than with respect to -++ the total \spad{>} order (since that is "max"). +++ partial order imposed by `-`, rather than with respect to +++ the total $>$ order (since that is "max"). ++ ++ Axioms\br -++ \tab{5}\spad{sup(a,b)-a \~~= "failed"}\br -++ \tab{5}\spad{sup(a,b)-b \~~= "failed"}\br -++ \tab{5}\spad{x-a \~~= "failed" and x-b \~~= "failed" => x >= sup(a,b)}\br +++ \tab{5}sup(a,b)-a \~~= "failed"\br +++ \tab{5}sup(a,b)-b \~~= "failed"\br +++ \tab{5}x-a \~~= "failed" and x-b \~~= "failed" => x >= sup(a,b)\br OrderedAbelianMonoidSup(): Category == OrderedCancellationAbelianMonoid with sup: (%,%) -> % ++ sup(x,y) returns the least element from which both ++ x and y can be subtracted. -@ -<>= +\end{chunk} +\begin{chunk}{OAMONS.dotabb} "OAMONS" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAMONS"]; "OAMONS" -> "OCAMON" -@ -<>= +\end{chunk} +\begin{chunk}{OAMONS.dotfull} "OrderedAbelianMonoidSup()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAMONS"]; "OrderedAbelianMonoidSup()" -> "OrderedCancellationAbelianMonoid()" -@ -<>= +\end{chunk} +\begin{chunk}{OAMONS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -33004,12 +33008,12 @@ "ABELSG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedMultisetAggregate}{OMSAGG} \pagepic{ps/v102orderedmultisetaggregate.ps}{OMSAGG}{0.50} -<>= +\begin{chunk}{OrderedMultisetAggregate.input} )set break resume )sys rm -f OrderedMultisetAggregate.output )spool OrderedMultisetAggregate.output @@ -33079,8 +33083,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedMultisetAggregate.help} ==================================================================== OrderedMultisetAggregate examples ==================================================================== @@ -33088,7 +33092,7 @@ See Also: o )show OrderedMultisetAggregate -@ +\end{chunk} {\bf See:} \pagefrom{MultisetAggregate}{MSETAGG} @@ -33259,7 +33263,7 @@ merge! : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category OMSAGG OrderedMultisetAggregate} )abbrev category OMSAGG OrderedMultisetAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -33284,15 +33288,15 @@ min: % -> S ++ min(u) returns the smallest entry in the multiset aggregate u. -@ -<>= +\end{chunk} +\begin{chunk}{OMSAGG.dotabb} "OMSAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=OMSAGG"]; "OMSAGG" -> "MSETAGG" "OMSAGG" -> "PRQAGG" -@ -<>= +\end{chunk} +\begin{chunk}{OMSAGG.dotfull} "OrderedMultisetAggregate(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=OMSAGG"]; "OrderedMultisetAggregate(a:SetCategory)" -> @@ -33300,8 +33304,8 @@ "OrderedMultisetAggregate(a:SetCategory)" -> "PriorityQueueAggregate(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{OMSAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -33339,12 +33343,12 @@ "SETAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Ring}{RING} \pagepic{ps/v102ring.ps}{RING}{1.00} -<>= +\begin{chunk}{Ring.input} )set break resume )sys rm -f Ring.output )spool Ring.output @@ -33380,8 +33384,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Ring.help} ==================================================================== Ring examples ==================================================================== @@ -33389,7 +33393,7 @@ See Also: o )show Ring -@ +\end{chunk} {\bf See:} \pageto{Algebra}{ALGEBRA} @@ -33486,7 +33490,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category RING Ring} )abbrev category RING Ring ++ Author: ++ Date Created: @@ -33519,24 +33523,24 @@ n:Integer coerce(n) == n * 1$% -@ -<>= +\end{chunk} +\begin{chunk}{RING.dotabb} "RING" [color=lightblue,href="bookvol10.2.pdf#nameddest=RING"]; "RING" -> "RNG" "RING" -> "MONOID" "RING" -> "LMODULE" -@ -<>= +\end{chunk} +\begin{chunk}{RING.dotfull} "Ring()" [color=lightblue,href="bookvol10.2.pdf#nameddest=RING"]; "Ring()" -> "Rng()" "Ring()" -> "Monoid()" "Ring()" -> "LeftModule(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{RING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -33574,12 +33578,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SquareFreeRegularTriangularSetCategory}{SFRTCAT} \pagepic{ps/v102squarefreeregulartriangularsetcategory.ps}{SFRTCAT}{0.50} -<>= +\begin{chunk}{SquareFreeRegularTriangularSetCategory.input} )set break resume )sys rm -f SquareFreeRegularTriangularSetCategory.output )spool SquareFreeRegularTriangularSetCategory.output @@ -33692,8 +33696,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SquareFreeRegularTriangularSetCategory.help} ==================================================================== SquareFreeRegularTriangularSetCategory examples ==================================================================== @@ -33701,7 +33705,7 @@ See Also: o )show SquareFreeRegularTriangularSetCategory -@ +\end{chunk} {\bf See:} \pageto{SquareFreeNormalizedTriangularSetCategory}{SNTSCAT} @@ -33952,7 +33956,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category SFRTCAT SquareFreeRegularTriangularSetCategory} )abbrev category SFRTCAT SquareFreeRegularTriangularSetCategory ++ Author: Marc Moreno Maza ++ Date Created: 09/03/1996 @@ -33982,22 +33986,22 @@ Category == RegularTriangularSetCategory(R,E,V,P) -@ -<>= +\end{chunk} +\begin{chunk}{SFRTCAT.dotabb} "SFRTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SFRTCAT"]; "SFRTCAT" -> "RSETCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SFRTCAT.dotfull} "SquareFreeRegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=SFRTCAT"]; "SquareFreeRegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -> "RegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -@ -<>= +\end{chunk} +\begin{chunk}{SFRTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -34044,12 +34048,12 @@ "CLAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{StringAggregate}{SRAGG} \pagepic{ps/v102stringaggregate.ps}{SRAGG}{1.00} -<>= +\begin{chunk}{StringAggregate.input} )set break resume )sys rm -f StringAggregate.output )spool StringAggregate.output @@ -34160,8 +34164,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StringAggregate.help} ==================================================================== StringAggregate examples ==================================================================== @@ -34169,7 +34173,7 @@ See Also: o )show StringAggregate -@ +\end{chunk} {\bf See:} \pageto{StringCategory}{STRICAT} @@ -34428,7 +34432,7 @@ ?>=? : (%,%) -> Boolean if Character has ORDSET \end{verbatim} -<>= +\begin{chunk}{category SRAGG StringAggregate} )abbrev category SRAGG StringAggregate ++ Author: Stephen Watt and Michael Monagan. ++ revised by Manuel Bronstein and Richard Jenks @@ -34536,19 +34540,19 @@ coerce(c:Character):% == new(1, c) elt(s:%, t:%): % == concat(s,t)$% -@ -<>= +\end{chunk} +\begin{chunk}{SRAGG.dotabb} "SRAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=SRAGG"]; "SRAGG" -> "A1AGG" -@ -<>= +\end{chunk} +\begin{chunk}{SRAGG.dotfull} "StringAggregate()" [color=lightblue,href="bookvol10.2.pdf#nameddest=SRAGG"]; "StringAggregate()" -> "OneDimensionalArrayAggregate(Character)" -@ -<>= +\end{chunk} +\begin{chunk}{SRAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -34579,12 +34583,12 @@ "IXAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{TableAggregate}{TBAGG} \pagepic{ps/v102tableaggregate.ps}{TBAGG}{0.60} -<>= +\begin{chunk}{TableAggregate.input} )set break resume )sys rm -f TableAggregate.output )spool TableAggregate.output @@ -34677,8 +34681,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TableAggregate.help} ==================================================================== TableAggregate examples ==================================================================== @@ -34686,7 +34690,7 @@ See Also: o )show TableAggregate -@ +\end{chunk} {\bf See:} \pageto{AssociationListAggregate}{ALAGG} @@ -34933,7 +34937,7 @@ swap! : (%,Key,Key) -> Void if $ has shallowlyMutable \end{verbatim} -<>= +\begin{chunk}{category TBAGG TableAggregate} )abbrev category TBAGG TableAggregate ++ Author: Michael Monagan, Stephen Watt; ++ revised by Manuel Bronstein and Richard Jenks @@ -35065,14 +35069,14 @@ for k in keys t | f t k repeat tally := tally + 1 tally -@ -<>= +\end{chunk} +\begin{chunk}{TBAGG.dotabb} "TBAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=TBAGG"]; "TBAGG" -> "KDAGG" "TBAGG" -> "IXAGG" -@ -<>= +\end{chunk} +\begin{chunk}{TBAGG.dotfull} "TableAggregate(a:SetCategory,b:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=TBAGG"]; "TableAggregate(a:SetCategory,b:SetCategory)" -> @@ -35080,8 +35084,8 @@ "TableAggregate(a:SetCategory,b:SetCategory)" -> "IndexedAggregate(a:SetCategory,b:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{TBAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -35131,12 +35135,12 @@ "ELTAGG..." [color=lightblue]; "HOAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{VectorCategory}{VECTCAT} \pagepic{ps/v102vectorcategory.ps}{VECTCAT}{1.00} -<>= +\begin{chunk}{VectorCategory.input} )set break resume )sys rm -f VectorCategory.output )spool VectorCategory.output @@ -35240,8 +35244,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{VectorCategory.help} ==================================================================== VectorCategory examples ==================================================================== @@ -35249,7 +35253,7 @@ See Also: o )show VectorCategory -@ +\end{chunk} {\bf See:} \pageto{PointCategory}{PTCAT} @@ -35445,7 +35449,7 @@ ?~=? : (%,%) -> Boolean if R has SETCAT \end{verbatim} -<>= +\begin{chunk}{category VECTCAT VectorCategory} )abbrev category VECTCAT VectorCategory ++ Author: ++ Date Created: @@ -35543,14 +35547,14 @@ magnitude p == sqrt(dot(p,p)) -@ -<>= +\end{chunk} +\begin{chunk}{VECTCAT.dotabb} "VECTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=VECTCAT"]; "VECTCAT" -> "A1AGG" -@ -<>= +\end{chunk} +\begin{chunk}{VECTCAT.dotfull} "VectorCategory(a:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=VECTCAT"]; "VectorCategory(a:Type)" -> "OneDimensionalArrayAggregate(a:Type)" @@ -35559,8 +35563,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=VECTCAT"]; "VectorCategory(a:Ring)" -> "VectorCategory(a:Type)" -@ -<>= +\end{chunk} +\begin{chunk}{VECTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -35587,13 +35591,13 @@ "IXAGG..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 9} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AssociationListAggregate}{ALAGG} \pagepic{ps/v102associationlistaggregate.ps}{ALAGG}{0.45} -<>= +\begin{chunk}{AssociationListAggregate.input} )set break resume )sys rm -f AssociationListAggregate.output )spool AssociationListAggregate.output @@ -35793,8 +35797,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AssociationListAggregate.help} ==================================================================== AssociationListAggregate examples ==================================================================== @@ -35802,7 +35806,7 @@ See Also: o )show AssociationListAggregate -@ +\end{chunk} {\bf See:} \pagefrom{ListAggregate}{LSAGG} @@ -36236,7 +36240,7 @@ ?.? : (%,Integer) -> RecKE \end{verbatim} -<>= +\begin{chunk}{category ALAGG AssociationListAggregate} )abbrev category ALAGG AssociationListAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks ++ Date Created: August 87 through August 88 @@ -36259,14 +36263,14 @@ ++ assoc(k,u) returns the element x in association list u stored ++ with key k, or "failed" if u has no key k. -@ -<>= +\end{chunk} +\begin{chunk}{ALAGG.dotabb} "ALAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=ALAGG"]; "ALAGG" -> "TBAGG" "ALAGG" -> "LSAGG" -@ -<>= +\end{chunk} +\begin{chunk}{ALAGG.dotfull} "AssociationListAggregate(a:SetCategory,b:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=ALAGG"]; "AssociationListAggregate(a:SetCategory,b:SetCategory)" -> @@ -36274,8 +36278,8 @@ "AssociationListAggregate(a:SetCategory,b:SetCategory)" -> "ListAggregate(Record(a:SetCategory,b:SetCategory))" -@ -<>= +\end{chunk} +\begin{chunk}{ALAGG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -36314,12 +36318,12 @@ "LSAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CharacteristicNonZero}{CHARNZ} \pagepic{ps/v102characteristicnonzero.ps}{CHARNZ}{0.90} -<>= +\begin{chunk}{CharacteristicNonZero.input} )set break resume )sys rm -f CharacteristicNonZero.output )spool CharacteristicNonZero.output @@ -36356,8 +36360,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CharacteristicNonZero.help} ==================================================================== CharacteristicNonZero examples ==================================================================== @@ -36365,7 +36369,7 @@ See Also: o )show CharacteristicNonZero -@ +\end{chunk} {\bf See:} \pageto{FieldOfPrimeCharacteristic}{FPC} @@ -36441,7 +36445,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category CHARNZ CharacteristicNonZero} )abbrev category CHARNZ CharacteristicNonZero ++ Author: ++ Date Created: @@ -36460,20 +36464,20 @@ ++ charthRoot(x) returns the pth root of x ++ where p is the characteristic of the ring. -@ -<>= +\end{chunk} +\begin{chunk}{CHARNZ.dotabb} "CHARNZ" [color=lightblue,href="bookvol10.2.pdf#nameddest=CHARNZ"]; "CHARNZ" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{CHARNZ.dotfull} "CharacteristicNonZero()" [color=lightblue,href="bookvol10.2.pdf#nameddest=CHARNZ"]; "CharacteristicNonZero()" -> "Ring()" -@ -<>= +\end{chunk} +\begin{chunk}{CHARNZ.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -36514,12 +36518,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CharacteristicZero}{CHARZ} \pagepic{ps/v102characteristiczero.ps}{CHARZ}{0.90} -<>= +\begin{chunk}{CharacteristicZero.input} )set break resume )sys rm -f CharacteristicZero.output )spool CharacteristicZero.output @@ -36555,8 +36559,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CharacteristicZero.help} ==================================================================== CharacteristicZero examples ==================================================================== @@ -36564,7 +36568,7 @@ See Also: o )show CharacteristicZero -@ +\end{chunk} {\bf See:} \pageto{FiniteRankAlgebra}{FINRALG} @@ -36637,7 +36641,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category CHARZ CharacteristicZero} )abbrev category CHARZ CharacteristicZero ++ Author: ++ Date Created: @@ -36653,20 +36657,20 @@ CharacteristicZero():Category == Ring -@ -<>= +\end{chunk} +\begin{chunk}{CHARZ.dotabb} "CHARZ" [color=lightblue,href="bookvol10.2.pdf#nameddest=CHARZ"]; "CHARZ" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{CHARZ.dotfull} "CharacteristicZero()" [color=lightblue,href="bookvol10.2.pdf#nameddest=CHARZ"]; "CharacteristicZero()" -> "Ring()" -@ -<>= +\end{chunk} +\begin{chunk}{CHARZ.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -36707,12 +36711,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{CommutativeRing}{COMRING} \pagepic{ps/v102commutativering.ps}{COMRING}{0.65} -<>= +\begin{chunk}{CommutativeRing.input} )set break resume )sys rm -f CommutativeRing.output )spool CommutativeRing.output @@ -36748,8 +36752,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CommutativeRing.help} ==================================================================== CommutativeRing examples ==================================================================== @@ -36757,7 +36761,7 @@ See Also: o )show CommutativeRing -@ +\end{chunk} Commutative Rings are a subset of IntegralDomains. \pageto{IntegralDomain}{INTDOM}. @@ -36840,7 +36844,7 @@ ?**? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category COMRING CommutativeRing} )abbrev category COMRING CommutativeRing ++ Author: ++ Date Created: @@ -36860,22 +36864,22 @@ CommutativeRing():Category == Join(Ring,BiModule(%,%)) with commutative("*") ++ multiplication is commutative. -@ -<>= +\end{chunk} +\begin{chunk}{COMRING.dotabb} "COMRING" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMRING"]; "COMRING" -> "RING" "COMRING" -> "BMODULE" -@ -<>= +\end{chunk} +\begin{chunk}{COMRING.dotfull} "CommutativeRing()" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMRING"]; "CommutativeRing()" -> "Ring()" "CommutativeRing()" -> "BiModule(a:Ring,b:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{COMRING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -36927,12 +36931,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DifferentialRing}{DIFRING} \pagepic{ps/v102differentialring.ps}{DIFRING}{0.90} -<>= +\begin{chunk}{DifferentialRing.input} )set break resume )sys rm -f DifferentialRing.output )spool DifferentialRing.output @@ -36971,8 +36975,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DifferentialRing.help} ==================================================================== DifferentialRing examples ==================================================================== @@ -36980,7 +36984,7 @@ See Also: o )show DifferentialRing -@ +\end{chunk} {\bf See:} \pageto{IntegerNumberSystem}{INS} @@ -37063,7 +37067,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category DIFRING DifferentialRing} )abbrev category DIFRING DifferentialRing ++ Author: ++ Date Created: @@ -37102,20 +37106,20 @@ r D(r,n) == differentiate(r,n) -@ -<>= +\end{chunk} +\begin{chunk}{DIFRING.dotabb} "DIFRING" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIFRING"]; "DIFRING" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{DIFRING.dotfull} "DifferentialRing()" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIFRING"]; "DifferentialRing()" -> "Ring()" -@ -<>= +\end{chunk} +\begin{chunk}{DIFRING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -37156,12 +37160,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{EntireRing}{ENTIRER} \pagepic{ps/v102EntireRing.ps}{ENTIRER}{0.65} -<>= +\begin{chunk}{EntireRing.input} )set break resume )sys rm -f EntireRing.output )spool EntireRing.output @@ -37197,8 +37201,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{EntireRing.help} ==================================================================== EntireRing examples ==================================================================== @@ -37206,7 +37210,7 @@ See Also: o )show EntireRing -@ +\end{chunk} {\bf See:} \pageto{DivisionRing}{DIVRING} @@ -37281,7 +37285,7 @@ ?**? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category ENTIRER EntireRing} )abbrev category ENTIRER EntireRing ++ Author: ++ Date Created: @@ -37305,22 +37309,22 @@ noZeroDivisors ++ if a product is zero then one of the factors ++ must be zero. -@ -<>= +\end{chunk} +\begin{chunk}{ENTIRER.dotabb} "ENTIRER" [color=lightblue,href="bookvol10.2.pdf#nameddest=ENTIRER"]; "ENTIRER" -> "RING" "ENTIRER" -> "BMODULE" -@ -<>= +\end{chunk} +\begin{chunk}{ENTIRER.dotfull} "EntireRing()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ENTIRER"]; "EntireRing()" -> "Ring()" "EntireRing()" -> "BiModule(a:Ring,b:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{ENTIRER.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -37367,12 +37371,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FreeModuleCat}{FMCAT} \pagepic{ps/v102freemodulecat.ps}{FMCAT}{0.75} -<>= +\begin{chunk}{FreeModuleCat.input} )set break resume )sys rm -f FreeModuleCat.output )spool FreeModuleCat.output @@ -37413,8 +37417,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeModuleCat.help} ==================================================================== FreeModuleCat examples ==================================================================== @@ -37422,7 +37426,7 @@ See Also: o )show FreeModuleCat -@ +\end{chunk} {\bf See:} \pagefrom{BiModule}{BMODULE} @@ -37513,7 +37517,7 @@ retractIfCan : % -> Union(Basis,"failed") \end{verbatim} -<>= +\begin{chunk}{category FMCAT FreeModuleCat} )abbrev category FMCAT FreeModuleCat ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -37584,22 +37588,22 @@ -- attributs if R has CommutativeRing then Module(R) -@ -<>= +\end{chunk} +\begin{chunk}{FMCAT.dotabb} "FMCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMCAT"]; "FMCAT" -> "BMODULE" "FMCAT" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{FMCAT.dotfull} "FreeModuleCat(a:Ring,b:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMCAT"]; "FreeModuleCat(a:Ring,b:SetCategory)" -> "BiModule(a:Ring,b:Ring)" "FreeModuleCat(a:Ring,b:SetCategory)" -> "RetractableTo(SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{FMCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -37636,12 +37640,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LeftAlgebra}{LALG} \pagepic{ps/v102leftalgebra.ps}{LALG}{1.00} -<>= +\begin{chunk}{LeftAlgebra.input} )set break resume )sys rm -f LeftAlgebra.output )spool LeftAlgebra.output @@ -37678,8 +37682,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LeftAlgebra.help} ==================================================================== LeftAlgebra examples ==================================================================== @@ -37687,7 +37691,7 @@ See Also: o )show LeftAlgebra -@ +\end{chunk} {\bf See:} \pagefrom{LeftModule}{LMODULE} @@ -37764,7 +37768,7 @@ ?*? : (R,%) -> % \end{verbatim} -<>= +\begin{chunk}{category LALG LeftAlgebra} )abbrev category LALG LeftAlgebra ++ Author: Larry A. Lambe ++ Date : 03/01/89; revised 03/17/89; revised 12/02/90. @@ -37778,22 +37782,22 @@ add coerce(x:R):% == x * 1$% -@ -<>= +\end{chunk} +\begin{chunk}{LALG.dotabb} "LALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=LALG"]; "LALG" -> "LMODULE" "LALG" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{LALG.dotfull} "LeftAlgebra(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LALG"]; "LeftAlgebra(a:Ring)" -> "LeftModule(a:Ring)" "LeftAlgebra(a:Ring)" -> "Ring()" -@ -<>= +\end{chunk} +\begin{chunk}{LALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -37825,12 +37829,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LinearlyExplicitRingOver}{LINEXP} \pagepic{ps/v102linearlyexplicitringover.ps}{LINEXP}{0.90} -<>= +\begin{chunk}{LinearlyExplicitRingOver.input} )set break resume )sys rm -f LinearlyExplicitRingOver.output )spool LinearlyExplicitRingOver.output @@ -37868,8 +37872,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LinearlyExplicitRingOver.help} ==================================================================== LinearlyExplicitRingOver examples ==================================================================== @@ -37877,7 +37881,7 @@ See Also: o )show LinearlyExplicitRingOver -@ +\end{chunk} {\bf See:} \pageto{FullyLinearlyExplicitRingOver}{FLINEXP} @@ -37953,7 +37957,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category LINEXP LinearlyExplicitRingOver} )abbrev category LINEXP LinearlyExplicitRingOver ++ Author: ++ Date Created: @@ -37975,14 +37979,14 @@ ++ reducedSystem(A, v) returns a matrix B and a vector w such that ++ \spad{A x = v} and \spad{B x = w} have the same solutions in R. -@ -<>= +\end{chunk} +\begin{chunk}{LINEXP.dotabb} "LINEXP" [color=lightblue,href="bookvol10.2.pdf#nameddest=LINEXP"]; "LINEXP" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{LINEXP.dotfull} "LinearlyExplicitRingOver(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LINEXP"]; "LinearlyExplicitRingOver(a:Ring)" -> "Ring()" @@ -37996,8 +38000,8 @@ "LinearlyExplicitRingOver(Fraction(Integer))" -> "LinearlyExplicitRingOver(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{LINEXP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -38038,12 +38042,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Module}{MODULE} \pagepic{ps/v102module.ps}{MODULE}{1.00} -<>= +\begin{chunk}{Module.input} )set break resume )sys rm -f Module.output )spool Module.output @@ -38074,8 +38078,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Module.help} ==================================================================== Module examples ==================================================================== @@ -38083,7 +38087,7 @@ See Also: o )show Module -@ +\end{chunk} {\bf See:} \pageto{Algebra}{ALGEBRA} @@ -38144,7 +38148,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category MODULE Module} )abbrev category MODULE Module ++ Author: ++ Date Created: @@ -38168,14 +38172,14 @@ add if not(R is %) then x:%*r:R == r*x -@ -<>= +\end{chunk} +\begin{chunk}{MODULE.dotabb} "MODULE" [color=lightblue,href="bookvol10.2.pdf#nameddest=MODULE"]; "MODULE" -> "BMODULE" -@ -<>= +\end{chunk} +\begin{chunk}{MODULE.dotfull} "Module(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=MODULE"]; "Module(a:CommutativeRing)" -> @@ -38185,8 +38189,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=MODULE"]; "Module(Field)" -> "Module(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{MODULE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -38218,12 +38222,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedRing}{ORDRING} \pagepic{ps/v102orderedring.ps}{ORDRING}{0.75} -<>= +\begin{chunk}{OrderedRing.input} )set break resume )sys rm -f OrderedRing.output )spool OrderedRing.output @@ -38264,8 +38268,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedRing.help} ==================================================================== OrderedRing examples ==================================================================== @@ -38273,7 +38277,7 @@ See Also: o )show OrderedRing -@ +\end{chunk} {\bf See:} \pageto{DirectProductCategory}{DIRPCAT} @@ -38373,7 +38377,7 @@ ?^? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category ORDRING OrderedRing} )abbrev category ORDRING OrderedRing ++ Author: ++ Date Created: @@ -38415,24 +38419,24 @@ zero? x => 0 error "x satisfies neither positive?, negative? or zero?" -@ -<>= +\end{chunk} +\begin{chunk}{ORDRING.dotabb} "ORDRING" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDRING"]; "ORDRING" -> "OAGROUP" "ORDRING" -> "RING" "ORDRING" -> "MONOID" -@ -<>= +\end{chunk} +\begin{chunk}{ORDRING.dotfull} "OrderedRing()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ORDRING"]; "OrderedRing()" -> "OrderedAbelianGroup()" "OrderedRing()" -> "Ring()" "OrderedRing()" -> "Monoid()" -@ -<>= +\end{chunk} +\begin{chunk}{ORDRING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -38475,12 +38479,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PartialDifferentialRing}{PDRING} \pagepic{ps/v102partialdifferentialring.ps}{PDRING}{1.00} -<>= +\begin{chunk}{PartialDifferentialRing.input} )set break resume )sys rm -f PartialDifferentialRing.output )spool PartialDifferentialRing.output @@ -38522,8 +38526,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PartialDifferentialRing.help} ==================================================================== PartialDifferentialRing examples ==================================================================== @@ -38531,7 +38535,7 @@ See Also: o )show PartialDifferentialRing -@ +\end{chunk} {\bf See:} \pageto{DifferentialExtension}{DIFEXT} @@ -38619,7 +38623,7 @@ ?**? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category PDRING PartialDifferentialRing} )abbrev category PDRING PartialDifferentialRing ++ Author: ++ Date Created: @@ -38683,14 +38687,14 @@ D(r:%, v:S, n:NonNegativeInteger) == differentiate(r,v,n) D(r:%, lv:List S, ln:List NonNegativeInteger) == differentiate(r, lv, ln) -@ -<>= +\end{chunk} +\begin{chunk}{PDRING.dotabb} "PDRING" [color=lightblue,href="bookvol10.2.pdf#nameddest=PDRING"]; "PDRING" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{PDRING.dotfull} "PartialDifferentialRing(a:SetCategory)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PDRING"]; "PartialDifferentialRing(a:SetCategory)" -> "Ring()" @@ -38705,8 +38709,8 @@ "PartialDifferentialRing(Symbol)" -> "PartialDifferentialRing(a:SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{PDRING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -38747,12 +38751,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PointCategory}{PTCAT} \pagepic{ps/v102pointcategory.ps}{PTCAT}{1.00} -<>= +\begin{chunk}{PointCategory.input} )set break resume )sys rm -f PointCategory.output )spool PointCategory.output @@ -38858,8 +38862,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PointCategory.help} ==================================================================== PointCategory examples ==================================================================== @@ -38867,7 +38871,7 @@ See Also: o )show PointCategory -@ +\end{chunk} {\bf See:} \pagefrom{VectorCategory}{VECTCAT} @@ -39070,7 +39074,7 @@ ?+? : (%,%) -> % if R has ABELSG \end{verbatim} -<>= +\begin{chunk}{category PTCAT PointCategory} )abbrev category PTCAT PointCategory ++ Author: ++ Date Created: @@ -39102,20 +39106,20 @@ extend : (%,List R) -> % ++ extend(x,l,r) \undocumented -@ -<>= +\end{chunk} +\begin{chunk}{PTCAT.dotabb} "PTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PTCAT"]; "PTCAT" -> "VECTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{PTCAT.dotfull} "PointCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PTCAT"]; "PointCategory(a:Ring)" -> "VectorCategory(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{PTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -39148,7 +39152,7 @@ "IXAGG..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RectangularMatrixCategory}{RMATCAT} \pagepic{ps/v102rectangularmatrixcategory.ps}{RMATCAT}{0.45} @@ -39168,7 +39172,7 @@ The RectangularMatrix domain is matrices of fixed dimension. -<>= +\begin{chunk}{RectangularMatrixCategory.input} )set break resume )sys rm -f RectangularMatrixCategory.output )spool RectangularMatrixCategory.output @@ -39232,8 +39236,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RectangularMatrixCategory.help} ==================================================================== RectangularMatrixCategory examples ==================================================================== @@ -39241,7 +39245,7 @@ See Also: o )show RectangularMatrixCategory -@ +\end{chunk} {\bf See:} @@ -39396,7 +39400,7 @@ #? : % -> NonNegativeInteger if $ has finiteAggregate \end{verbatim} -<>= +\begin{chunk}{category RMATCAT RectangularMatrixCategory} )abbrev category RMATCAT RectangularMatrixCategory ++ Authors: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -39559,15 +39563,15 @@ return false true -@ -<>= +\end{chunk} +\begin{chunk}{RMATCAT.dotabb} "RMATCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=RMATCAT"]; "RMATCAT" -> "BMODULE" "RMATCAT" -> "HOAGG" -@ -<>= +\end{chunk} +\begin{chunk}{RMATCAT.dotfull} "RectangularMatrixCategory(a:NonNegativeInteger,b:NonNegativeInteger,c:Ring,d:DirectProductCategory(b,c),e:DirectProductCategory(a,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=RMATCAT"]; "RectangularMatrixCategory(a:NonNegativeInteger,b:NonNegativeInteger,c:Ring,d:DirectProductCategory(b,c),e:DirectProductCategory(a,c))" @@ -39575,8 +39579,8 @@ "RectangularMatrixCategory(a:NonNegativeInteger,b:NonNegativeInteger,c:Ring,d:DirectProductCategory(b,c),e:DirectProductCategory(a,c))" -> "HomogeneousAggregate(Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{RMATCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -39610,12 +39614,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SquareFreeNormalizedTriangularSetCategory}{SNTSCAT} \pagepic{ps/v102squarefreenormalizedtriangularsetcategory.ps}{SNTSCAT}{0.45} -<>= +\begin{chunk}{SquareFreeNormalizedTriangularSetCategory.input} )set break resume )sys rm -f SquareFreeNormalizedTriangularSetCategory.output )spool SquareFreeNormalizedTriangularSetCategory.output @@ -39728,8 +39732,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SquareFreeNormalizedTriangularSetCategory.help} ==================================================================== SquareFreeNormalizedTriangularSetCategory examples ==================================================================== @@ -39737,7 +39741,7 @@ See Also: o )show SquareFreeNormalizedTriangularSetCategory -@ +\end{chunk} {\bf See:} \pagefrom{NormalizedTriangularSetCategory}{NTSCAT} @@ -39988,7 +39992,7 @@ ?~=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category SNTSCAT SquareFreeNormalizedTriangularSetCategory} )abbrev category SNTSCAT SquareFreeNormalizedTriangularSetCategory ++ Author: Marc Moreno Maza ++ Date Created: 10/07/1998 @@ -40014,15 +40018,15 @@ Join(SquareFreeRegularTriangularSetCategory(R,E,V,P), _ NormalizedTriangularSetCategory(R,E,V,P)) -@ -<>= +\end{chunk} +\begin{chunk}{SNTSCAT.dotabb} "SNTSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SNTSCAT"]; "SNTSCAT" -> "NTSCAT" "SNTSCAT" -> "SFRTCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SNTSCAT.dotfull} "SquareFreeNormalizedTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" [color=lightblue,href="bookvol10.2.pdf#nameddest=SNTSCAT"]; "SquareFreeNormalizedTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" @@ -40033,8 +40037,8 @@ -> "NormalizedRegularTriangularSetCategory(a:GcdDomain,b:OrderedAbelianMonoidSup,c:OrderedSet,d:RecursivePolynomialCategory(a,b,c))" -@ -<>= +\end{chunk} +\begin{chunk}{SNTSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -40053,12 +40057,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{StringCategory}{STRICAT} \pagepic{ps/v102stringcategory.ps}{STRICAT}{0.75} -<>= +\begin{chunk}{StringCategory.input} )set break resume )sys rm -f StringCategory.output )spool StringCategory.output @@ -40170,8 +40174,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StringCategory.help} ==================================================================== StringCategory examples ==================================================================== @@ -40179,7 +40183,7 @@ See Also: o )show StringCategory -@ +\end{chunk} {\bf See:} \pagefrom{OpenMath}{OM} @@ -40453,7 +40457,7 @@ OMwrite : (OpenMathDevice,%) -> Void \end{verbatim} -<>= +\begin{chunk}{category STRICAT StringCategory} )abbrev category STRICAT StringCategory -- Note that StringCategory is built into the old compiler -- redundant SetCategory added to help A# compiler @@ -40465,24 +40469,24 @@ string: Integer -> % ++ string(i) returns the decimal representation of i in a string -@ -<>= +\end{chunk} +\begin{chunk}{STRICAT.dotabb} "STRICAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=STRICAT"]; "STRICAT" -> "OM" "STRICAT" -> "SETCAT" "STRICAT" -> "SRAGG" -@ -<>= +\end{chunk} +\begin{chunk}{STRICAT.dotfull} "StringCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=STRICAT"]; "StringCategory()" -> "OpenMath()" "StringCategory()" -> "SetCategory()" "StringCategory()" -> "StringAggregate()" -@ -<>= +\end{chunk} +\begin{chunk}{STRICAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -40518,12 +40522,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariateSkewPolynomialCategory}{OREPCAT} \pagepic{ps/v102univariateskewpolynomialcategory.ps}{OREPCAT}{0.55} -<>= +\begin{chunk}{UnivariateSkewPolynomialCategory.input} )set break resume )sys rm -f UnivariateSkewPolynomialCategory.output )spool UnivariateSkewPolynomialCategory.output @@ -40592,8 +40596,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateSkewPolynomialCategory.help} ==================================================================== UnivariateSkewPolynomialCategory examples ==================================================================== @@ -40601,7 +40605,7 @@ See Also: o )show UnivariateSkewPolynomialCategory -@ +\end{chunk} {\bf See:} \pageto{LinearOrdinaryDifferentialOperatorCategory}{LODOCAT} @@ -40756,7 +40760,7 @@ retractIfCan : % -> Union(Integer,"failed") if R has RETRACT INT \end{verbatim} -<>= +\begin{chunk}{category OREPCAT UnivariateSkewPolynomialCategory} )abbrev category OREPCAT UnivariateSkewPolynomialCategory ++ Author: Manuel Bronstein, Jean Della Dora, Stephen M. Watt ++ Date Created: 19 October 1993 @@ -41006,16 +41010,16 @@ (v0, v):= (v, v0 - qr.quotient * v) [a, u0, v0, u * a0] -@ -<>= +\end{chunk} +\begin{chunk}{OREPCAT.dotabb} "OREPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=OREPCAT"]; "OREPCAT" -> "BMODULE" "OREPCAT" -> "FRETRCT" "OREPCAT" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{OREPCAT.dotfull} "UnivariateSkewPolynomialCategory(R:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=OREPCAT"]; "UnivariateSkewPolynomialCategory(R:Ring)" @@ -41025,8 +41029,8 @@ "UnivariateSkewPolynomialCategory(R:Ring)" -> "Ring()" -@ -<>= +\end{chunk} +\begin{chunk}{OREPCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -41093,12 +41097,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{XAlgebra}{XALG} \pagepic{ps/v102xalgebra.ps}{XALG}{0.70} -<>= +\begin{chunk}{XAlgebra.input} )set break resume )sys rm -f XAlgebra.output )spool XAlgebra.output @@ -41136,8 +41140,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XAlgebra.help} ==================================================================== XAlgebra examples ==================================================================== @@ -41145,7 +41149,7 @@ See Also: o )show XAlgebra -@ +\end{chunk} {\bf See:} \pageto{XFreeAlgebra}{XFALG} @@ -41230,7 +41234,7 @@ ?*? : (%,R) -> % \end{verbatim} -<>= +\begin{chunk}{category XALG XAlgebra} )abbrev category XALG XAlgebra ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -41253,22 +41257,22 @@ ++ \spad{coerce(r)} equals \spad{r*1}. if R has CommutativeRing then Algebra(R) -@ -<>= +\end{chunk} +\begin{chunk}{XALG.dotabb} "XALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=XALG"]; "XALG" -> "BMODULE" "XALG" -> "RING" -@ -<>= +\end{chunk} +\begin{chunk}{XALG.dotfull} "XAlgebra(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=XALG"]; "XAlgebra(a:Ring)" -> "Ring()" "XAlgebra(a:Ring)" -> "BiModule(a:Ring,b:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{XALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -41316,13 +41320,13 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 10} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Algebra}{ALGEBRA} \pagepic{ps/v102algebra.ps}{ALGEBRA}{0.65} -<>= +\begin{chunk}{Algebra.input} )set break resume )sys rm -f Algebra.output )spool Algebra.output @@ -41360,8 +41364,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Algebra.help} ==================================================================== Algebra examples ==================================================================== @@ -41369,7 +41373,7 @@ See Also: o )show Algebra -@ +\end{chunk} {\bf See:} \pageto{DivisionRing}{DIVRING} @@ -41460,7 +41464,7 @@ ?*? : (%,R) -> % \end{verbatim} -<>= +\begin{chunk}{category ALGEBRA Algebra} )abbrev category ALGEBRA Algebra ++ Author: ++ Date Created: @@ -41488,15 +41492,15 @@ add coerce(x:R):% == x * 1$% -@ -<>= +\end{chunk} +\begin{chunk}{ALGEBRA.dotabb} "ALGEBRA" [color=lightblue,href="bookvol10.2.pdf#nameddest=ALGEBRA"]; "ALGEBRA" -> "RING" "ALGEBRA" -> "MODULE" -@ -<>= +\end{chunk} +\begin{chunk}{ALGEBRA.dotfull} "Algebra(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=ALGEBRA"]; "Algebra(a:CommutativeRing)" -> "Ring()" @@ -41522,8 +41526,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=ALGEBRA"]; "Algebra(IntegralDomain)" -> "Algebra(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{ALGEBRA.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -41577,12 +41581,12 @@ "SETCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DifferentialExtension}{DIFEXT} \pagepic{ps/v102differentialextension.ps}{DIFEXT}{0.65} -<>= +\begin{chunk}{DifferentialExtension.input} )set break resume )sys rm -f DifferentialExtension.output )spool DifferentialExtension.output @@ -41633,8 +41637,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DifferentialExtension.help} ==================================================================== DifferentialExtension examples ==================================================================== @@ -41642,7 +41646,7 @@ See Also: o )show DifferentialExtension -@ +\end{chunk} {\bf See:} \pageto{ComplexCategory}{COMPCAT} @@ -41756,7 +41760,7 @@ if R has PDRING SYMBOL \end{verbatim} -<>= +\begin{chunk}{category DIFEXT DifferentialExtension} )abbrev category DIFEXT DifferentialExtension ++ Author: ++ Date Created: @@ -41802,16 +41806,16 @@ differentiate(x:%, v:Symbol):% == differentiate(x, s +-> differentiate(s, v)$R) -@ -<>= +\end{chunk} +\begin{chunk}{DIFEXT.dotabb} "DIFEXT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIFEXT"]; "DIFEXT" -> "RING" "DIFEXT" -> "DIFRING" "DIFEXT" -> "PDRING" -@ -<>= +\end{chunk} +\begin{chunk}{DIFEXT.dotfull} "DifferentialExtension(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIFEXT"]; "DifferentialExtension(a:Ring)" -> "Ring()" @@ -41828,8 +41832,8 @@ "DifferentialExtension(CommutativeRing)" -> "DifferentialExtension(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{DIFEXT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -41871,12 +41875,12 @@ "LMODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FullyLinearlyExplicitRingOver}{FLINEXP} \pagepic{ps/v102fullylinearlyexplicitringover.ps}{FLINEXP}{1.00} -<>= +\begin{chunk}{FullyLinearlyExplicitRingOver.input} )set break resume )sys rm -f FullyLinearlyExplicitRingOver.output )spool FullyLinearlyExplicitRingOver.output @@ -41916,8 +41920,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FullyLinearlyExplicitRingOver.help} ==================================================================== FullyLinearlyExplicitRingOver examples ==================================================================== @@ -41925,7 +41929,7 @@ See Also: o )show FullyLinearlyExplicitRingOver -@ +\end{chunk} {\bf See:} \pageto{ComplexCategory}{COMPCAT} @@ -42012,7 +42016,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category FLINEXP FullyLinearlyExplicitRingOver} )abbrev category FLINEXP FullyLinearlyExplicitRingOver ++ Author: ++ Date Created: @@ -42043,14 +42047,14 @@ rec := reducedSystem(m, v)@Record(mat:Matrix R, vec:Vector R) reducedSystem(rec.mat, rec.vec) -@ -<>= +\end{chunk} +\begin{chunk}{FLINEXP.dotabb} "FLINEXP" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLINEXP"]; "FLINEXP" -> "LINEXP" -@ -<>= +\end{chunk} +\begin{chunk}{FLINEXP.dotfull} "FullyLinearlyExplicitRingOver(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLINEXP"]; "FullyLinearlyExplicitRingOver(a:Ring)" -> @@ -42066,8 +42070,8 @@ "FullyLinearlyExplicitRingOver(IntegralDomain)" -> "FullyLinearlyExplicitRingOver(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{FLINEXP.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -42112,12 +42116,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LieAlgebra}{LIECAT} \pagepic{ps/v102liealgebra.ps}{LIECAT}{1.00} -<>= +\begin{chunk}{LieAlgebra.input} )set break resume )sys rm -f LieAlgebra.output )spool LieAlgebra.output @@ -42149,8 +42153,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LieAlgebra.help} ==================================================================== LieAlgebra examples ==================================================================== @@ -42158,7 +42162,7 @@ See Also: o )show LieAlgebra -@ +\end{chunk} {\bf See:} \pageto{FreeLieAlgebra}{FLALG} @@ -42228,7 +42232,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category LIECAT LieAlgebra} )abbrev category LIECAT LieAlgebra ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -42255,20 +42259,20 @@ add if R has Field then x / r == inv(r)$R * x -@ -<>= +\end{chunk} +\begin{chunk}{LIECAT.dotabb} "LIECAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=LIECAT"]; "LIECAT" -> "MODULE" -@ -<>= +\end{chunk} +\begin{chunk}{LIECAT.dotfull} "LieAlgebra(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LIECAT"]; "LieAlgebra(a:CommutativeRing)" -> "Module(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{LIECAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -42303,12 +42307,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LinearOrdinaryDifferentialOperatorCategory}{LODOCAT} \pagepic{ps/v102linearordinarydifferentialoperatorcategory.ps}{LODOCAT}{0.50} -<>= +\begin{chunk}{LinearOrdinaryDifferentialOperatorCategory.input} )set break resume )sys rm -f LinearOrdinaryDifferentialOperatorCategory.output )spool LinearOrdinaryDifferentialOperatorCategory.output @@ -42382,8 +42386,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LinearOrdinaryDifferentialOperatorCategory.help} ==================================================================== LinearOrdinaryDifferentialOperatorCategory examples ==================================================================== @@ -42391,7 +42395,7 @@ See Also: o )show LinearOrdinaryDifferentialOperatorCategory -@ +\end{chunk} {\bf See:} \pagefrom{Eltable}{ELTAB} @@ -42562,7 +42566,7 @@ ?.? : (%,A) -> A \end{verbatim} -<>= +\begin{chunk}{category LODOCAT LinearOrdinaryDifferentialOperatorCategory} )abbrev category LODOCAT LinearOrdinaryDifferentialOperatorCategory ++ Author: Manuel Bronstein ++ Date Created: 9 December 1993 @@ -42620,15 +42624,15 @@ if A has Field then symmetricSquare l == symmetricPower(l, 2) -@ -<>= +\end{chunk} +\begin{chunk}{LODOCAT.dotabb} "LODOCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=LODOCAT"]; "LODOCAT" -> "ELTAB" "LODOCAT" -> "OREPCAT" -@ -<>= +\end{chunk} +\begin{chunk}{LODOCAT.dotfull} "LinearOrdinaryDifferentialOperatorCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LODOCAT"]; "LinearOrdinaryDifferentialOperatorCategory(a:Ring)" @@ -42636,8 +42640,8 @@ "LinearOrdinaryDifferentialOperatorCategory(a:Ring)" -> "UnivariateSkewPolynomialCategory(R:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{LODOCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -42718,12 +42722,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{NonAssociativeAlgebra}{NAALG} \pagepic{ps/v102nonassociativealgebra.ps}{NAALG}{0.75} -<>= +\begin{chunk}{NonAssociativeAlgebra.input} )set break resume )sys rm -f NonAssociativeAlgebra.output )spool NonAssociativeAlgebra.output @@ -42759,8 +42763,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NonAssociativeAlgebra.help} ==================================================================== NonAssociativeAlgebra examples ==================================================================== @@ -42768,7 +42772,7 @@ See Also: o )show NonAssociativeAlgebra -@ +\end{chunk} {\bf See:} \pageto{FiniteRankNonAssociativeAlgebra}{FINAALG} @@ -42845,7 +42849,7 @@ ?*? : (%,R) -> % \end{verbatim} -<>= +\begin{chunk}{category NAALG NonAssociativeAlgebra} )abbrev category NAALG NonAssociativeAlgebra ++ Author: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -42878,22 +42882,22 @@ n1 : PositiveInteger := (n-1)::NonNegativeInteger::PositiveInteger plenaryPower(a,n1) * plenaryPower(a,n1) -@ -<>= +\end{chunk} +\begin{chunk}{NAALG.dotabb} "NAALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=NAALG"]; "NAALG" -> "NARNG" "NAALG" -> "MODULE" -@ -<>= +\end{chunk} +\begin{chunk}{NAALG.dotfull} "NonAssociativeAlgebra(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=NAALG"]; "NonAssociativeAlgebra(a:CommutativeRing)" -> "NonAssociativeRng()" "NonAssociativeAlgebra(a:CommutativeRing)" -> "Module(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{NAALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -42939,12 +42943,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{VectorSpace}{VSPACE} \pagepic{ps/v102vectorspace.ps}{VSPACE}{1.00} -<>= +\begin{chunk}{VectorSpace.input} )set break resume )sys rm -f VectorSpace.output )spool VectorSpace.output @@ -42976,8 +42980,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{VectorSpace.help} ==================================================================== VectorSpace examples ==================================================================== @@ -42985,7 +42989,7 @@ See Also: o )show VectorSpace -@ +\end{chunk} {\bf See:} \pageto{ExtensionField}{XF} @@ -43050,7 +43054,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category VSPACE VectorSpace} )abbrev category VSPACE VectorSpace ++ Author: ++ Date Created: @@ -43072,20 +43076,20 @@ add (v:% / s:S):% == inv(s) * v -@ -<>= +\end{chunk} +\begin{chunk}{VSPACE.dotabb} "VSPACE" [color=lightblue,href="bookvol10.2.pdf#nameddest=VSPACE"]; "VSPACE" -> "MODULE" -@ -<>= +\end{chunk} +\begin{chunk}{VSPACE.dotfull} "VectorSpace(a:Field)" [color=lightblue,href="bookvol10.2.pdf#nameddest=VSPACE"]; "VectorSpace(a:Field)" -> "Module(Field)" -@ -<>= +\end{chunk} +\begin{chunk}{VSPACE.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -43123,12 +43127,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{XFreeAlgebra}{XFALG} \pagepic{ps/v102xfreealgebra.ps}{XFALG}{0.50} -<>= +\begin{chunk}{XFreeAlgebra.input} )set break resume )sys rm -f XFreeAlgebra.output )spool XFreeAlgebra.output @@ -43184,8 +43188,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XFreeAlgebra.help} ==================================================================== XFreeAlgebra examples ==================================================================== @@ -43193,7 +43197,7 @@ See Also: o )show XFreeAlgebra -@ +\end{chunk} {\bf See:} \pageto{XPolynomialsCat}{XPOLYC} @@ -43331,7 +43335,7 @@ retractIfCan : % -> Union(OrderedFreeMonoid vl,"failed") \end{verbatim} -<>= +\begin{chunk}{category XFALG XFreeAlgebra} )abbrev category XFALG XFreeAlgebra ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -43427,16 +43431,16 @@ -- Attributs if R has noZeroDivisors then noZeroDivisors -@ -<>= +\end{chunk} +\begin{chunk}{XFALG.dotabb} "XFALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=XFALG"]; "XFALG" -> "RETRACT" "XFALG" -> "RING" "XFALG" -> "XALG" -@ -<>= +\end{chunk} +\begin{chunk}{XFALG.dotfull} "XFreeAlgebra(a:OrderedSet,b:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=XFALG"]; "XFreeAlgebra(a:OrderedSet,b:Ring)" -> "Ring()" @@ -43444,8 +43448,8 @@ "XFreeAlgebra(a:OrderedSet,b:Ring)" -> "RetractableTo(OrderedFreeMonoid(OrderedSet))" -@ -<>= +\end{chunk} +\begin{chunk}{XFALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -43509,13 +43513,13 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 11} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DirectProductCategory}{DIRPCAT} \pagepic{ps/v102directproductcategory.ps}{DIRPCAT}{0.40} -<>= +\begin{chunk}{DirectProductCategory.input} )set break resume )sys rm -f DirectProductCategory.output )spool DirectProductCategory.output @@ -43639,8 +43643,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DirectProductCategory.help} ==================================================================== DirectProductCategory examples ==================================================================== @@ -43648,7 +43652,7 @@ See Also: o )show DirectProductCategory -@ +\end{chunk} {\bf See:} \pagefrom{BiModule}{BMODULE} @@ -43966,7 +43970,7 @@ sup : (%,%) -> % if R has OAMONS \end{verbatim} -<>= +\begin{chunk}{category DIRPCAT DirectProductCategory} )abbrev category DIRPCAT DirectProductCategory -- all direct product category domains must be compiled -- without subsumption, set SourceLevelSubset to EQUAL @@ -44059,8 +44063,8 @@ dimension() == dim::CardinalNumber -@ -<>= +\end{chunk} +\begin{chunk}{DIRPCAT.dotabb} "DIRPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIRPCAT"]; "DIRPCAT" -> "IXAGG" @@ -44073,8 +44077,8 @@ "DIRPCAT" -> "ORDRING" "DIRPCAT" -> "OAMONS" -@ -<>= +\end{chunk} +\begin{chunk}{DIRPCAT.dotfull} "DirectProductCategory(a:NonNegativeInteger,b:Type)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIRPCAT"]; "DirectProductCategory(a:NonNegativeInteger,b:Type)" @@ -44096,8 +44100,8 @@ "DirectProductCategory(a:NonNegativeInteger,b:Type)" -> "OrderedAbelianMonoidSup()" -@ -<>= +\end{chunk} +\begin{chunk}{DIRPCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -44126,12 +44130,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DivisionRing}{DIVRING} \pagepic{ps/v102divisionring.ps}{DIVRING}{0.65} -<>= +\begin{chunk}{DivisionRing.input} )set break resume )sys rm -f DivisionRing.output )spool DivisionRing.output @@ -44170,8 +44174,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DivisionRing.help} ==================================================================== DivisionRing examples ==================================================================== @@ -44179,7 +44183,7 @@ See Also: o )show DivisionRing -@ +\end{chunk} {\bf See:} \pageto{Field}{FIELD} @@ -44273,7 +44277,7 @@ ?*? : (Fraction Integer,%) -> % \end{verbatim} -<>= +\begin{chunk}{category DIVRING DivisionRing} )abbrev category DIVRING DivisionRing ++ Author: ++ Date Created: @@ -44317,23 +44321,23 @@ -- if % has CharacteristicZero() then q:Fraction(Integer) * x:% == numer(q) * inv(denom(q)::%) * x -@ -<>= +\end{chunk} +\begin{chunk}{DIVRING.dotabb} "DIVRING" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIVRING"]; "DIVRING" -> "ENTIRER" "DIVRING" -> "ALGEBRA" -@ -<>= +\end{chunk} +\begin{chunk}{DIVRING.dotfull} "DivisionRing()" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIVRING"]; "DivisionRing()" -> "EntireRing()" "DivisionRing()" -> "Algebra(Fraction(Integer))" "DivisionRing()" -> "RepeatedSquaring(DivisionRing)" -@ -<>= +\end{chunk} +\begin{chunk}{DIVRING.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -44374,12 +44378,12 @@ "BMODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteRankNonAssociativeAlgebra}{FINAALG} \pagepic{ps/v102finiteranknonassociativealgebra.ps}{FINAALG}{0.80} -<>= +\begin{chunk}{FiniteRankNonAssociativeAlgebra.input} )set break resume )sys rm -f FiniteRankNonAssociativeAlgebra.output )spool FiniteRankNonAssociativeAlgebra.output @@ -44449,8 +44453,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteRankNonAssociativeAlgebra.help} ==================================================================== FiniteRankNonAssociativeAlgebra examples ==================================================================== @@ -44458,7 +44462,7 @@ See Also: o )show FiniteRankNonAssociativeAlgebra -@ +\end{chunk} {\bf See:} \pageto{FramedNonAssociativeAlgebra}{FRNAALG} @@ -44632,7 +44636,7 @@ ?**? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category FINAALG FiniteRankNonAssociativeAlgebra} )abbrev category FINAALG FiniteRankNonAssociativeAlgebra ++ Author: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -45292,21 +45296,21 @@ matrix [parts coordinates(b(i+m)*x,b) for i in 1..rank()]$List(List R) -@ -<>= +\end{chunk} +\begin{chunk}{FINAALG.dotabb} "FINAALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FINAALG"]; "FINAALG" -> "NAALG" -@ -<>= +\end{chunk} +\begin{chunk}{FINAALG.dotfull} "FiniteRankNonAssociativeAlgebra(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FINAALG"]; "FiniteRankNonAssociativeAlgebra(a:CommutativeRing)" -> "NonAssociativeAlgebra(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{FINAALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -45356,12 +45360,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FreeLieAlgebra}{FLALG} \pagepic{ps/v102freeliealgebra.ps}{FLALG}{1.00} -<>= +\begin{chunk}{FreeLieAlgebra.input} )set break resume )sys rm -f FreeLieAlgebra.output )spool FreeLieAlgebra.output @@ -45403,8 +45407,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeLieAlgebra.help} ==================================================================== FreeLieAlgebra examples ==================================================================== @@ -45412,7 +45416,7 @@ See Also: o )show FreeLieAlgebra -@ +\end{chunk} {\bf See:} \pagefrom{LieAlgebra}{LIECAT} @@ -45500,7 +45504,7 @@ ?=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category FLALG FreeLieAlgebra} )abbrev category FLALG FreeLieAlgebra ++ Author: Michel Petitot (petitot@lifl.fr) ++ Date Created: 91 @@ -45565,21 +45569,21 @@ ++ \axiom{eval(p, [x1,...,xn], [v1,...,vn])} replaces \axiom{xi} ++ by \axiom{vi} in \axiom{p}. -@ -<>= +\end{chunk} +\begin{chunk}{FLALG.dotabb} "FLALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLALG"]; "FLALG" -> "LIECAT" -@ -<>= +\end{chunk} +\begin{chunk}{FLALG.dotfull} "FreeLieAlgebra(a:OrderedSet,b:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLALG"]; "FreeLieAlgebra(a:OrderedSet,b:CommutativeRing)" -> "LieAlgebra(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{FLALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -45618,12 +45622,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{IntegralDomain}{INTDOM} \pagepic{ps/v102integraldomain.ps}{INTDOM}{0.65} -<>= +\begin{chunk}{IntegralDomain.input} )set break resume )sys rm -f IntegralDomain.output )spool IntegralDomain.output @@ -45663,8 +45667,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegralDomain.help} ==================================================================== IntegralDomain examples ==================================================================== @@ -45672,7 +45676,7 @@ See Also: o )show IntegralDomain -@ +\end{chunk} All Commutative Rings are Integral Domains. \pagefrom{CommutativeRing}{COMRING} Integral Domains are a subset of Unique Factorization domains. @@ -45793,7 +45797,7 @@ coerce : % -> % \end{verbatim} -<>= +\begin{chunk}{category INTDOM IntegralDomain} )abbrev category INTDOM IntegralDomain ++ Author: ++ Date Created: @@ -45852,24 +45856,24 @@ y exquo x case "failed" => false true -@ -<>= +\end{chunk} +\begin{chunk}{INTDOM.dotabb} "INTDOM" [color=lightblue,href="bookvol10.2.pdf#nameddest=INTDOM"]; "INTDOM" -> "COMRING" "INTDOM" -> "ALGEBRA" "INTDOM" -> "ENTIRER" -@ -<>= +\end{chunk} +\begin{chunk}{INTDOM.dotfull} "IntegralDomain()" [color=lightblue,href="bookvol10.2.pdf#nameddest=INTDOM"]; "IntegralDomain()" -> "CommutativeRing()" "IntegralDomain()" -> "Algebra(a:CommutativeRing)" "IntegralDomain()" -> "EntireRing()" -@ -<>= +\end{chunk} +\begin{chunk}{INTDOM.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -45903,12 +45907,12 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MonogenicLinearOperator}{MLO} \pagepic{ps/v102monogeniclinearoperator.ps}{MLO}{0.60} -<>= +\begin{chunk}{MonogenicLinearOperator.input} )set break resume )sys rm -f MonogenicLinearOperator.output )spool MonogenicLinearOperator.output @@ -45951,8 +45955,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MonogenicLinearOperator.help} ==================================================================== MonogenicLinearOperator examples ==================================================================== @@ -45960,7 +45964,7 @@ See Also: o )show MonogenicLinearOperator -@ +\end{chunk} {\bf See:} \pagefrom{Algebra}{ALGEBRA} @@ -46059,7 +46063,7 @@ coerce : R -> % if R has COMRING \end{verbatim} -<>= +\begin{chunk}{category MLO MonogenicLinearOperator} )abbrev category MLO MonogenicLinearOperator ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -46110,24 +46114,24 @@ ++ monomial(c,k) produces c times the k-th power of ++ the generating operator, \spad{monomial(1,1)}. -@ -<>= +\end{chunk} +\begin{chunk}{MLO.dotabb} "MLO" [color=lightblue,href="bookvol10.2.pdf#nameddest=MLO"]; "MLO" -> "BMODULE" "MLO" -> "RING" "MLO" -> "ALGEBRA" -@ -<>= +\end{chunk} +\begin{chunk}{MLO.dotfull} "MonogenicLinearOperator(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=MLO"]; "MonogenicLinearOperator(a:Ring)" -> "Ring()" "MonogenicLinearOperator(a:Ring)" -> "BiModule(a:Ring,b:Ring)" "MonogenicLinearOperator(a:Ring)" -> "Algebra(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{MLO.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -46191,12 +46195,12 @@ "CABMON..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OctonionCategory}{OC} \pagepic{ps/v102octonioncategory.ps}{OC}{1.00} -<>= +\begin{chunk}{OctonionCategory.input} )set break resume )sys rm -f OctonionCategory.output )spool OctonionCategory.output @@ -46269,8 +46273,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OctonionCategory.help} ==================================================================== OctonionCategory examples ==================================================================== @@ -46278,7 +46282,7 @@ See Also: o )show OctonionCategory -@ +\end{chunk} {\bf See:} \pagefrom{Algebra}{ALGEBRA} @@ -46457,7 +46461,7 @@ charthRoot : % -> Union(%,"failed") if R has CHARNZ \end{verbatim} -<>= +\begin{chunk}{category OC OctonionCategory} )abbrev category OC OctonionCategory ++ Author: R. Wisbauer, J. Grabmeier ++ Date Created: 05 September 1990 @@ -46728,16 +46732,16 @@ rational? x => rational real x "failed" -@ -<>= +\end{chunk} +\begin{chunk}{OC.dotabb} "OC" [color=lightblue,href="bookvol10.2.pdf#nameddest=OC"]; "OC" -> "ALGEBRA" "OC" -> "FEVALAB" "OC" -> "FRETRCT" -@ -<>= +\end{chunk} +\begin{chunk}{OC.dotfull} "OctonionCategory(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=OC"]; "OctonionCategory(a:CommutativeRing)" -> "Algebra(a:CommutativeRing)" @@ -46745,8 +46749,8 @@ "OctonionCategory(a:CommutativeRing)" -> "FullyRetractableTo(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{OC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -46762,12 +46766,12 @@ "FRETRCT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{QuaternionCategory}{QUATCAT} \pagepic{ps/v102quaternioncategory.ps}{QUATCAT}{0.70} -<>= +\begin{chunk}{QuaternionCategory.input} )set break resume )sys rm -f QuaternionCategory.output )spool QuaternionCategory.output @@ -46857,8 +46861,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QuaternionCategory.help} ==================================================================== QuaternionCategory examples ==================================================================== @@ -46866,7 +46870,7 @@ See Also: o )show QuaternionCategory -@ +\end{chunk} {\bf See:} \pagefrom{Algebra}{ALGEBRA} @@ -47075,7 +47079,7 @@ charthRoot : % -> Union(%,"failed") if R has CHARNZ \end{verbatim} -<>= +\begin{chunk}{category QUATCAT QuaternionCategory} )abbrev category QUATCAT QuaternionCategory ++ Author: Robert S. Sutor ++ Date Created: 23 May 1990 @@ -47274,8 +47278,8 @@ rational? x => rational real x "failed" -@ -<>= +\end{chunk} +\begin{chunk}{QUATCAT.dotabb} "QUATCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=QUATCAT"]; "QUATCAT" -> "ALGEBRA" @@ -47284,8 +47288,8 @@ "QUATCAT" -> "FLINEXP" "QUATCAT" -> "FRETRCT" -@ -<>= +\end{chunk} +\begin{chunk}{QUATCAT.dotfull} "QuaternionCategory(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=QUATCAT"]; "QuaternionCategory(a:CommutativeRing)" -> @@ -47299,8 +47303,8 @@ "QuaternionCategory(a:CommutativeRing)" -> "FullyRetractableTo(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{QUATCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -47320,7 +47324,7 @@ "FRETRCT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{SquareMatrixCategory}{SMATCAT} \pagepic{ps/v102squarematrixcategory.ps}{SMATCAT}{0.25} @@ -47336,7 +47340,7 @@ The SquareMatrix domain is for square matrices of fixed dimension. -<>= +\begin{chunk}{SquareMatrixCategory.input} )set break resume )sys rm -f SquareMatrixCategory.output )spool SquareMatrixCategory.output @@ -47440,8 +47444,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SquareMatrixCategory.help} ==================================================================== SquareMatrixCategory examples ==================================================================== @@ -47449,7 +47453,7 @@ See Also: o )show SquareMatrixCategory -@ +\end{chunk} {\bf See:} @@ -47697,7 +47701,7 @@ reducedSystem : Matrix % -> Matrix Integer if R has LINEXP INT \end{verbatim} -<>= +\begin{chunk}{category SMATCAT SquareMatrixCategory} )abbrev category SMATCAT SquareMatrixCategory ++ Authors: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -47849,8 +47853,8 @@ error "**: matrix must be invertible" positivePower(xInv :: %,-n) -@ -<>= +\end{chunk} +\begin{chunk}{SMATCAT.dotabb} "SMATCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=SMATCAT"]; "SMATCAT" -> "BMODULE" @@ -47859,8 +47863,8 @@ "SMATCAT" -> "FRETRCT" "SMATCAT" -> "RMATCAT" -@ -<>= +\end{chunk} +\begin{chunk}{SMATCAT.dotfull} "SquareMatrixCategory(a:NonNegativeInteger,b:Ring,c:DirectProductCategory(a,b),d:DirectProductCategory(a,b)" [color=lightblue,href="bookvol10.2.pdf#nameddest=SMATCAT"]; "SquareMatrixCategory(a:NonNegativeInteger,b:Ring,c:DirectProductCategory(a,b),d:DirectProductCategory(a,b)" @@ -47874,8 +47878,8 @@ "SquareMatrixCategory(a:NonNegativeInteger,b:Ring,c:DirectProductCategory(a,b),d:DirectProductCategory(a,b)" -> "RectangularMatrixCategory(a:NonNegativeInteger,b:NonNegativeInteger,c:Ring,d:DirectProductCategory(b,c),e:DirectProductCategory(a,c))" -@ -<>= +\end{chunk} +\begin{chunk}{SMATCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -47957,12 +47961,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{XPolynomialsCat}{XPOLYC} \pagepic{ps/v102xpolynomialscat.ps}{XPOLYC}{0.50} -<>= +\begin{chunk}{XPolynomialsCat.input} )set break resume )sys rm -f XPolynomialsCat.output )spool XPolynomialsCat.output @@ -48021,8 +48025,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XPolynomialsCat.help} ==================================================================== XPolynomialsCat examples ==================================================================== @@ -48030,7 +48034,7 @@ See Also: o )show XPolynomialsCat -@ +\end{chunk} {\bf See:} \pagefrom{XFreeAlgebra}{XFALG} @@ -48167,7 +48171,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category XPOLYC XPolynomialsCat} )abbrev category XPOLYC XPolynomialsCat ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -48198,21 +48202,21 @@ ++ \spad{trunc(p,n)} returns the polynomial \spad{p} truncated ++ at order \spad{n}. -@ -<>= +\end{chunk} +\begin{chunk}{XPOLYC.dotabb} "XPOLYC" [color=lightblue,href="bookvol10.2.pdf#nameddest=XPOLYC"]; "XPOLYC" -> "XFALG" -@ -<>= +\end{chunk} +\begin{chunk}{XPOLYC.dotfull} "XPolynomialsCat(a:OrderedRing,b:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=XPOLYC"]; "XPolynomialsCat(a:OrderedRing,b:Ring)" -> "XFreeAlgebra(a:OrderedSet,b:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{XPOLYC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -48281,13 +48285,13 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 12} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AbelianMonoidRing}{AMR} \pagepic{ps/v102abelianmonoidring.ps}{AMR}{0.65} -<>= +\begin{chunk}{AbelianMonoidRing.input} )set break resume )sys rm -f AbelianMonoidRing.output )spool AbelianMonoidRing.output @@ -48340,8 +48344,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AbelianMonoidRing.help} ==================================================================== AbelianMonoidRing examples ==================================================================== @@ -48349,7 +48353,7 @@ See Also: o )show AbelianMonoidRing -@ +\end{chunk} {\bf See:} \pageto{FiniteAbelianMonoidRing}{FAMR} @@ -48494,7 +48498,7 @@ ?*? : (%,Fraction Integer) -> % if R has ALGEBRA FRAC INT \end{verbatim} -<>= +\begin{chunk}{category AMR AbelianMonoidRing} )abbrev category AMR AbelianMonoidRing ++ Author: ++ Date Created: @@ -48561,8 +48565,8 @@ if R has Algebra Fraction Integer then q:Fraction(Integer) * p:% == map(x1 +-> q * x1, p) -@ -<>= +\end{chunk} +\begin{chunk}{AMR.dotabb} "AMR" [color=lightblue,href="bookvol10.2.pdf#nameddest=AMR"]; "AMR" -> "RING" @@ -48572,8 +48576,8 @@ "AMR" -> "COMRING" "AMR" -> "ALGEBRA" -@ -<>= +\end{chunk} +\begin{chunk}{AMR.dotfull} "AbelianMonoidRing(a:Ring,b:OrderedAbelianMonoid)" [color=lightblue,href="bookvol10.2.pdf#nameddest=AMR"]; "AbelianMonoidRing(a:Ring,b:OrderedAbelianMonoid)" -> "Ring()" @@ -48588,8 +48592,8 @@ "AbelianMonoidRing(a:Ring,b:OrderedAbelianMonoid)" -> "Algebra(Fraction(Integer))" -@ -<>= +\end{chunk} +\begin{chunk}{AMR.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -48639,12 +48643,12 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FortranMachineTypeCategory}{FMTC} \pagepic{ps/v102fortranmachinetypecategory.ps}{FMTC}{0.40} -<>= +\begin{chunk}{FortranMachineTypeCategory.input} )set break resume )sys rm -f FortranMachineTypeCategory.output )spool FortranMachineTypeCategory.output @@ -48689,8 +48693,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranMachineTypeCategory.help} ==================================================================== FortranMachineTypeCategory examples ==================================================================== @@ -48698,7 +48702,7 @@ See Also: o )show FortranMachineTypeCategory -@ +\end{chunk} {\bf See:} \pagefrom{IntegralDomain}{INTDOM} @@ -48811,7 +48815,7 @@ retractIfCan : % -> Union(Integer,"failed") \end{verbatim} -<>= +\begin{chunk}{category FMTC FortranMachineTypeCategory} )abbrev category FMTC FortranMachineTypeCategory ++ Author: Mike Dewar ++ Date Created: December 1993 @@ -48830,24 +48834,24 @@ FortranMachineTypeCategory():Category == Join(IntegralDomain,OrderedSet, RetractableTo(Integer) ) -@ -<>= +\end{chunk} +\begin{chunk}{FMTC.dotabb} "FMTC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMTC"]; "FMTC" -> "INTDOM" "FMTC" -> "ORDSET" "FMTC" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{FMTC.dotfull} "FortranMachineTypeCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FMTC"]; "FortranMachineTypeCategory()" -> "IntegralDomain()" "FortranMachineTypeCategory()" -> "OrderedSet()" "FortranMachineTypeCategory()" -> "RetractableTo(Integer)" -@ -<>= +\end{chunk} +\begin{chunk}{FMTC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -48914,12 +48918,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FramedNonAssociativeAlgebra}{FRNAALG} \pagepic{ps/v102framednonassociativealgebra.ps}{FRNAALG}{0.75} -<>= +\begin{chunk}{FramedNonAssociativeAlgebra.input} )set break resume )sys rm -f FramedNonAssociativeAlgebra.output )spool FramedNonAssociativeAlgebra.output @@ -49002,8 +49006,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FramedNonAssociativeAlgebra.help} ==================================================================== FramedNonAssociativeAlgebra examples ==================================================================== @@ -49011,7 +49015,7 @@ See Also: o )show FramedNonAssociativeAlgebra -@ +\end{chunk} {\bf See:} \pagefrom{FiniteRankNonAssociativeAlgebra}{FINAALG} @@ -49220,7 +49224,7 @@ ?**? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category FRNAALG FramedNonAssociativeAlgebra} )abbrev category FRNAALG FramedNonAssociativeAlgebra ++ Author: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -49535,21 +49539,21 @@ setRow_!(m, j, coordinates qelt(v, i)) m -@ -<>= +\end{chunk} +\begin{chunk}{FRNAALG.dotabb} "FRNAALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FRNAALG"]; "FRNAALG" -> "FINAALG" -@ -<>= +\end{chunk} +\begin{chunk}{FRNAALG.dotfull} "FramedNonAssociativeAlgebra(a:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FRNAALG"]; "FramedNonAssociativeAlgebra(a:CommutativeRing)" -> "FiniteRankNonAssociativeAlgebra(a:CommutativeRing)" -@ -<>= +\end{chunk} +\begin{chunk}{FRNAALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -49603,12 +49607,12 @@ "ABELGRP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{GcdDomain}{GCDDOM} \pagepic{ps/v102gcddomain.ps}{GCDDOM}{0.65} -<>= +\begin{chunk}{GcdDomain.input} )set break resume )sys rm -f GcdDomain.output )spool GcdDomain.output @@ -49651,8 +49655,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GcdDomain.help} ==================================================================== GcdDomain examples ==================================================================== @@ -49660,7 +49664,7 @@ See Also: o )show GcdDomain -@ +\end{chunk} {\bf See:} \pageto{IntervalCategory}{INTCAT} @@ -49769,7 +49773,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category GCDDOM GcdDomain} )abbrev category GCDDOM GcdDomain ++ Author: ++ Date Created: @@ -49835,20 +49839,20 @@ zero? e1 => p1 monomial(1,e1)*p1 -@ -<>= +\end{chunk} +\begin{chunk}{GCDDOM.dotabb} "GCDDOM" [color=lightblue,href="bookvol10.2.pdf#nameddest=GCDDOM"]; "GCDDOM" -> "INTDOM" -@ -<>= +\end{chunk} +\begin{chunk}{GCDDOM.dotfull} "GcdDomain()" [color=lightblue,href="bookvol10.2.pdf#nameddest=GCDDOM"]; "GcdDomain()" -> "IntegralDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{GCDDOM.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -49885,12 +49889,12 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{OrderedIntegralDomain}{OINTDOM} \pagepic{ps/v102orderedintegraldomain.ps}{OINTDOM}{0.45} -<>= +\begin{chunk}{OrderedIntegralDomain.input} )set break resume )sys rm -f OrderedIntegralDomain.output )spool OrderedIntegralDomain.output @@ -49935,8 +49939,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedIntegralDomain.help} ==================================================================== OrderedIntegralDomain examples ==================================================================== @@ -49944,7 +49948,7 @@ See Also: o )show OrderedIntegralDomain -@ +\end{chunk} {\bf See:} \pageto{IntegerNumberSystem}{INS} @@ -50057,7 +50061,7 @@ ?>=? : (%,%) -> Boolean \end{verbatim} -<>= +\begin{chunk}{category OINTDOM OrderedIntegralDomain} )abbrev category OINTDOM OrderedIntegralDomain ++ Author: JH Davenport (after L Gonzalez-Vega) ++ Date Created: 30.1.96 @@ -50074,22 +50078,22 @@ OrderedIntegralDomain(): Category == Join(IntegralDomain, OrderedRing) -@ -<>= +\end{chunk} +\begin{chunk}{OINTDOM.dotabb} "OINTDOM" [color=lightblue,href="bookvol10.2.pdf#nameddest=OINTDOM"]; "OINTDOM" -> "INTDOM" "OINTDOM" -> "ORDRING" -@ -<>= +\end{chunk} +\begin{chunk}{OINTDOM.dotfull} "OrderedIntegralDomain()" [color=lightblue,href="bookvol10.2.pdf#nameddest=OINTDOM"]; "OrderedIntegralDomain()" -> "IntegralDomain()" "OrderedIntegralDomain()" -> "OrderedRing()" -@ -<>= +\end{chunk} +\begin{chunk}{OINTDOM.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -50135,13 +50139,13 @@ "MONOID..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 13} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteAbelianMonoidRing}{FAMR} \pagepic{ps/v102finiteabelianmonoidring.ps}{FAMR}{0.40} -<>= +\begin{chunk}{FiniteAbelianMonoidRing.input} )set break resume )sys rm -f FiniteAbelianMonoidRing.output )spool FiniteAbelianMonoidRing.output @@ -50207,8 +50211,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteAbelianMonoidRing.help} ==================================================================== FiniteAbelianMonoidRing examples ==================================================================== @@ -50216,7 +50220,7 @@ See Also: o )show FiniteAbelianMonoidRing -@ +\end{chunk} {\bf See:} \pageto{PolynomialCategory}{POLYCAT} @@ -50382,7 +50386,7 @@ if R has RETRACT FRAC INT \end{verbatim} -<>= +\begin{chunk}{category FAMR FiniteAbelianMonoidRing} )abbrev category FAMR FiniteAbelianMonoidRing ++ Author: ++ Date Created: @@ -50501,15 +50505,15 @@ c := content x unitCanonical((x exquo c)::%) -@ -<>= +\end{chunk} +\begin{chunk}{FAMR.dotabb} "FAMR" [color=lightblue,href="bookvol10.2.pdf#nameddest=FAMR"]; "FAMR" -> "AMR" "FAMR" -> "FRETRCT" -@ -<>= +\end{chunk} +\begin{chunk}{FAMR.dotfull} "FiniteAbelianMonoidRing(a:Ring,b:OrderedAbelianMonoid)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FAMR"]; "FiniteAbelianMonoidRing(a:Ring,b:OrderedAbelianMonoid)" -> @@ -50522,8 +50526,8 @@ "FiniteAbelianMonoidRing(a:Ring,b:OrderedAbelianMonoidSup)" -> "FiniteAbelianMonoidRing(a:Ring,b:OrderedAbelianMonoid)" -@ -<>= +\end{chunk} +\begin{chunk}{FAMR.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -50588,12 +50592,12 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{IntervalCategory}{INTCAT} \pagepic{ps/v102intervalcategory.ps}{INTCAT}{0.60} -<>= +\begin{chunk}{IntervalCategory.input} )set break resume )sys rm -f IntervalCategory.output )spool IntervalCategory.output @@ -50662,8 +50666,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntervalCategory.help} ==================================================================== IntervalCategory examples ==================================================================== @@ -50671,7 +50675,7 @@ See Also: o )show IntervalCategory -@ +\end{chunk} {\bf See:} \pagefrom{GcdDomain}{GCDDOM} @@ -50892,7 +50896,7 @@ retractIfCan : % -> Union(Integer,"failed") \end{verbatim} -<>= +\begin{chunk}{category INTCAT IntervalCategory} )abbrev category INTCAT IntervalCategory ++ Author: Mike Dewar ++ Date Created: November 1996 @@ -50938,8 +50942,8 @@ ++ contains?(i,f) returns true if \axiom{f} is contained within the ++ interval \axiom{i}, false otherwise. -@ -<>= +\end{chunk} +\begin{chunk}{INTCAT.dotabb} "INTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=INTCAT"]; "INTCAT" -> "GCDDOM" @@ -50948,8 +50952,8 @@ "INTCAT" -> "RETRACT" "INTCAT" -> "TRANFUN" -@ -<>= +\end{chunk} +\begin{chunk}{INTCAT.dotfull} "IntervalCategory(a:Join(FloatingPointSystem,TranscendentalFunctionCategory))" [color=lightblue,href="bookvol10.2.pdf#nameddest=INTCAT"]; "IntervalCategory(a:Join(FloatingPointSystem,TranscendentalFunctionCategory))" @@ -50963,8 +50967,8 @@ "IntervalCategory(a:Join(FloatingPointSystem,TranscendentalFunctionCategory))" -> "RetractableTo(Integer)" -@ -<>= +\end{chunk} +\begin{chunk}{INTCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -51018,12 +51022,12 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PowerSeriesCategory}{PSCAT} \pagepic{ps/v102powerseriescategory.ps}{PSCAT}{0.60} -<>= +\begin{chunk}{PowerSeriesCategory.input} )set break resume )sys rm -f PowerSeriesCategory.output )spool PowerSeriesCategory.output @@ -51079,8 +51083,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PowerSeriesCategory.help} ==================================================================== PowerSeriesCategory examples ==================================================================== @@ -51088,7 +51092,7 @@ See Also: o )show PowerSeriesCategory -@ +\end{chunk} {\bf See:} \pageto{MultivariateTaylorSeriesCategory}{MTSCAT} @@ -51222,7 +51226,7 @@ ?^? : (%,PositiveInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category PSCAT PowerSeriesCategory} )abbrev category PSCAT PowerSeriesCategory ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -51285,14 +51289,14 @@ if Coef has Field then ps:% / r:Coef == map((r1:Coef):Coef +-> r1 / r,ps) -@ -<>= +\end{chunk} +\begin{chunk}{PSCAT.dotabb} "PSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PSCAT"]; "PSCAT" -> "AMR" -@ -<>= +\end{chunk} +\begin{chunk}{PSCAT.dotfull} "PowerSeriesCategory(a:Ring,b:OrderedAbelianMonoid,c:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PSCAT"]; "PowerSeriesCategory(a:Ring,b:OrderedAbelianMonoid,c:OrderedSet)" -> @@ -51308,8 +51312,8 @@ "PowerSeriesCategory(a:Ring,IndexedExponents(b:OrderedSet),c:OrderedSet))" -> "PowerSeriesCategory(a:Ring,b:OrderedAbelianMonoid,c:OrderedSet)" -@ -<>= +\end{chunk} +\begin{chunk}{PSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -51364,12 +51368,12 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PrincipalIdealDomain}{PID} \pagepic{ps/v102principalidealdomain.ps}{PID}{0.65} -<>= +\begin{chunk}{PrincipalIdealDomain.input} )set break resume )sys rm -f PrincipalIdealDomain.output )spool PrincipalIdealDomain.output @@ -51414,8 +51418,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PrincipalIdealDomain.help} ==================================================================== PrincipalIdealDomain examples ==================================================================== @@ -51423,7 +51427,7 @@ See Also: o )show PrincipalIdealDomain -@ +\end{chunk} {\bf See:} @@ -51533,7 +51537,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category PID PrincipalIdealDomain} )abbrev category PID PrincipalIdealDomain ++ Author: ++ Date Created: @@ -51563,20 +51567,20 @@ ++ of h as a linear combination of the fi or "failed" if h ++ is not in the ideal generated by the fi. -@ -<>= +\end{chunk} +\begin{chunk}{PID.dotabb} "PID" [color=lightblue,href="bookvol10.2.pdf#nameddest=PID"]; "PID" -> "GCDDOM" -@ -<>= +\end{chunk} +\begin{chunk}{PID.dotfull} "PrincipalIdealDomain()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PID"]; "PrincipalIdealDomain()" -> "GcdDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{PID.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -51616,12 +51620,12 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UniqueFactorizationDomain}{UFD} \pagepic{ps/v102uniquefactorizationdomain.ps}{UFD}{0.65} -<>= +\begin{chunk}{UniqueFactorizationDomain.input} )set break resume )sys rm -f UniqueFactorizationDomain.output )spool UniqueFactorizationDomain.output @@ -51666,8 +51670,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UniqueFactorizationDomain.help} ==================================================================== UniqueFactorizationDomain examples ==================================================================== @@ -51675,7 +51679,7 @@ See Also: o )show UniqueFactorizationDomain -@ +\end{chunk} All Integral Domains are UniqueFactorizationDomains. \pagefrom{IntegralDomain}{INTDOM}. Unique Factorization Domains are a subset of Principal Ideal Domains. @@ -51795,7 +51799,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category UFD UniqueFactorizationDomain} )abbrev category UFD UniqueFactorizationDomain ++ Author: ++ Date Created: @@ -51831,20 +51835,20 @@ prime? x == # factorList factor x = 1 -@ -<>= +\end{chunk} +\begin{chunk}{UFD.dotabb} "UFD" [color=lightblue,href="bookvol10.2.pdf#nameddest=UFD"]; "UFD" -> "GCDDOM" -@ -<>= +\end{chunk} +\begin{chunk}{UFD.dotfull} "UniqueFactorizationDomain()" [color=lightblue,href="bookvol10.2.pdf#nameddest=UFD"]; "UniqueFactorizationDomain()" -> "GcdDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{UFD.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -51884,13 +51888,13 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 14} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DivisorCategory}{DIVCAT} \pagepic{ps/v102divisorcategory.ps}{DIVCAT}{0.75} -<>= +\begin{chunk}{DivisorCategory.input} )set break resume )sys rm -f DivisorCategory.output )spool DivisorCategory.output @@ -51935,8 +51939,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DivisorCategory.help} ==================================================================== DivisorCategory examples ==================================================================== @@ -51944,7 +51948,7 @@ See Also: o )show DivisorCategory -@ +\end{chunk} {\bf See:} @@ -52050,7 +52054,7 @@ terms : % -> List Record(gen: S,exp: E) \end{verbatim} -<>= +\begin{chunk}{category DIVCAT DivisorCategory} )abbrev category DIVCAT DivisorCategory ++ Authors: Gaetan Hache ++ Date Created: may 1997 @@ -52103,21 +52107,21 @@ incr: % -> % -@ -<>= +\end{chunk} +\begin{chunk}{DIVCAT.dotabb} "DIVCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIVCAT"]; "OAGROUP" [color=lightblue,href="bookvol10.2.pdf#nameddest=OAGROUP"]; "PID" [color=lightblue,href="bookvol10.2.pdf#nameddest=PID"]; "DIVCAT" -> "OAGROUP" "DIVCAT" -> "PID" -@ -<>= +\end{chunk} +\begin{chunk}{DIVCAT.dotfull} "DivisorCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIVCAT"]; "DivisorCategory()" -> "PrincipalIdealDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{DIVCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -52140,12 +52144,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{EuclideanDomain}{EUCDOM} \pagepic{ps/v102euclideandomain.ps}{EUCDOM}{0.65} -<>= +\begin{chunk}{EuclideanDomain.input} )set break resume )sys rm -f EuclideanDomain.output )spool EuclideanDomain.output @@ -52197,8 +52201,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{EuclideanDomain.help} ==================================================================== EuclideanDomain examples ==================================================================== @@ -52206,7 +52210,7 @@ See Also: o )show EuclideanDomain -@ +\end{chunk} Principal Ideal Domains are a subset of Euclidean Domains. \pagefrom{PrincipalIdealDomain}{PID}. Euclidean Domains are a subset of Fields. @@ -52338,7 +52342,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category EUCDOM EuclideanDomain} )abbrev category EUCDOM EuclideanDomain ++ Author: ++ Date Created: @@ -52487,20 +52491,20 @@ v2 case "failed" => "failed" concat(v1,v2) -@ -<>= +\end{chunk} +\begin{chunk}{EUCDOM.dotabb} "EUCDOM" [color=lightblue,href="bookvol10.2.pdf#nameddest=EUCDOM"]; "EUCDOM" -> "PID" -@ -<>= +\end{chunk} +\begin{chunk}{EUCDOM.dotfull} "EuclideanDomain()" [color=lightblue,href="bookvol10.2.pdf#nameddest=EUCDOM"]; "EuclideanDomain()" -> "PrincipalIdealDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{EUCDOM.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -52539,12 +52543,12 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MultivariateTaylorSeriesCategory}{MTSCAT} \pagepic{ps/v102multivariatetaylorseriescategory.ps}{MTSCAT}{1.00} -<>= +\begin{chunk}{MultivariateTaylorSeriesCategory.input} )set break resume )sys rm -f MultivariateTaylorSeriesCategory.output )spool MultivariateTaylorSeriesCategory.output @@ -52653,8 +52657,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MultivariateTaylorSeriesCategory.help} ==================================================================== MultivariateTaylorSeriesCategory examples ==================================================================== @@ -52662,7 +52666,7 @@ See Also: o )show MultivariateTaylorSeriesCategory -@ +\end{chunk} {\bf See:} \pagefrom{Evalable}{EVALAB} @@ -52904,7 +52908,7 @@ ?**? : (%,%) -> % if Coef has ALGEBRA FRAC INT \end{verbatim} -<>= +\begin{chunk}{category MTSCAT MultivariateTaylorSeriesCategory} )abbrev category MTSCAT MultivariateTaylorSeriesCategory ++ Author: Clifton J. Williamson ++ Date Created: 6 March 1990 @@ -52966,8 +52970,8 @@ --++ We provide transcendental functions when we can divide --++ coefficients by integers. -@ -<>= +\end{chunk} +\begin{chunk}{MTSCAT.dotabb} "MTSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=MTSCAT"]; "MTSCAT" -> "PDRING" @@ -52975,8 +52979,8 @@ "MTSCAT" -> "IEVALAB" "MTSCAT" -> "EVALAB" -@ -<>= +\end{chunk} +\begin{chunk}{MTSCAT.dotfull} "MultivariateTaylorSeriesCategory(a:Ring,b:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=MTSCAT"]; "MultivariateTaylorSeriesCategory(a:Ring,b:OrderedSet)" -> @@ -52988,8 +52992,8 @@ "MultivariateTaylorSeriesCategory(a:Ring,b:OrderedSet)" -> "Evalable(MultivariateTaylorSeriesCategory(a:Ring,b:OrderedSet))" -@ -<>= +\end{chunk} +\begin{chunk}{MTSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -53012,12 +53016,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PolynomialFactorizationExplicit}{PFECAT} \pagepic{ps/v102polynomialfactorizationexplicit.ps}{PFECAT}{0.80} -<>= +\begin{chunk}{PolynomialFactorizationExplicit.input} )set break resume )sys rm -f PolynomialFactorizationExplicit.output )spool PolynomialFactorizationExplicit.output @@ -53068,8 +53072,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PolynomialFactorizationExplicit.help} ==================================================================== PolynomialFactorizationExplicit examples ==================================================================== @@ -53077,7 +53081,7 @@ See Also: o )show PolynomialFactorizationExplicit -@ +\end{chunk} {\bf See:} \pageto{PolynomialCategory}{POLYCAT} @@ -53214,7 +53218,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category PFECAT PolynomialFactorizationExplicit} )abbrev category PFECAT PolynomialFactorizationExplicit ++ Author: James Davenport ++ Date Created: @@ -53296,20 +53300,20 @@ LPE ==> LinearPolynomialEquationByFractions % solveLinearPolynomialEquationByFractions(lf,g)$LPE -@ -<>= +\end{chunk} +\begin{chunk}{PFECAT.dotabb} "PFECAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PFECAT"]; "PFECAT" -> "UFD" -@ -<>= +\end{chunk} +\begin{chunk}{PFECAT.dotfull} "PolynomialFactorizationExplicit()" [color=lightblue,href="bookvol10.2.pdf#nameddest=PFECAT"]; "PolynomialFactorizationExplicit()" -> "UniqueFactorizationDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{PFECAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -53348,12 +53352,12 @@ "RING..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariatePowerSeriesCategory}{UPSCAT} \pagepic{ps/v102univariatepowerseriescategory.ps}{UPSCAT}{0.55} -<>= +\begin{chunk}{UnivariatePowerSeriesCategory.input} )set break resume )sys rm -f UnivariatePowerSeriesCategory.output )spool UnivariatePowerSeriesCategory.output @@ -53431,8 +53435,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePowerSeriesCategory.help} ==================================================================== UnivariatePowerSeriesCategory examples ==================================================================== @@ -53440,7 +53444,7 @@ See Also: o )show UnivariatePowerSeriesCategory -@ +\end{chunk} {\bf See:} \pageto{LocalPowerSeriesCategory}{LOCPOWC} @@ -53647,7 +53651,7 @@ and Coef has *: (Expon,Coef) -> Coef \end{verbatim} -<>= +\begin{chunk}{category UPSCAT UnivariatePowerSeriesCategory} )abbrev category UPSCAT UnivariatePowerSeriesCategory ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -53750,14 +53754,14 @@ variables f == list create() -@ -<>= +\end{chunk} +\begin{chunk}{UPSCAT.dotabb} "UPSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPSCAT"]; "UPSCAT" -> "PSCAT" -@ -<>= +\end{chunk} +\begin{chunk}{UPSCAT.dotfull} "UnivariatePowerSeriesCategory(a:Ring,b:OrderedAbelianMonoid)" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPSCAT"]; "UnivariatePowerSeriesCategory(a:Ring,b:OrderedAbelianMonoid)" -> @@ -53778,8 +53782,8 @@ "UnivariatePowerSeriesCategory(a:Ring,Fraction(Integer))" -> "UnivariatePowerSeriesCategory(a:Ring,b:OrderedAbelianMonoid)" -@ -<>= +\end{chunk} +\begin{chunk}{UPSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -53844,13 +53848,13 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 15} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{Field}{FIELD} \pagepic{ps/v102field.ps}{FIELD}{1.00} -<>= +\begin{chunk}{Field.input} )set break resume )sys rm -f Field.output )spool Field.output @@ -53907,8 +53911,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Field.help} ==================================================================== Field examples ==================================================================== @@ -53916,7 +53920,7 @@ See Also: o )show Field -@ +\end{chunk} Euclidean Domains are a subset of Fields. \pagefrom{EuclideanDomain}{EUCDOM} \pageto{PseudoAlgebraicClosureOfPerfectFieldCategory}{PACPERC} @@ -54084,7 +54088,7 @@ ?^? : (%,Integer) -> % \end{verbatim} -<>= +\begin{chunk}{category FIELD Field} )abbrev category FIELD Field ++ Author: ++ Date Created: @@ -54129,24 +54133,24 @@ x / y == (zero? y => error "catdef: division by zero"; x * inv(y)) divide(x,y) == [x / y,0] -@ -<>= +\end{chunk} +\begin{chunk}{FIELD.dotabb} "FIELD" [color=lightblue,href="bookvol10.2.pdf#nameddest=FIELD"]; "FIELD" -> "EUCDOM" "FIELD" -> "UFD" "FIELD" -> "DIVRING" -@ -<>= +\end{chunk} +\begin{chunk}{FIELD.dotfull} "Field()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FIELD"]; "Field()" -> "EuclideanDomain()" "Field()" -> "UniqueFactorizationDomain()" "Field()" -> "DivisionRing()" -@ -<>= +\end{chunk} +\begin{chunk}{FIELD.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -54170,12 +54174,12 @@ "GCDDOM..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{IntegerNumberSystem}{INS} \pagepic{ps/v102integernumbersystem.ps}{INS}{0.30} -<>= +\begin{chunk}{IntegerNumberSystem.input} )set break resume )sys rm -f IntegerNumberSystem.output )spool IntegerNumberSystem.output @@ -54259,8 +54263,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegerNumberSystem.help} ==================================================================== IntegerNumberSystem examples ==================================================================== @@ -54268,7 +54272,7 @@ See Also: o )show IntegerNumberSystem -@ +\end{chunk} {\bf See:} \pagefrom{CharacteristicZero}{CHARZ} @@ -54537,7 +54541,7 @@ Record(mat: Matrix Integer,vec: Vector Integer) \end{verbatim} -<>= +\begin{chunk}{category INS IntegerNumberSystem} )abbrev category INS IntegerNumberSystem ++ Author: Stephen M. Watt ++ Date Created: January 1988 @@ -54708,8 +54712,8 @@ zero?(n := shift(n, -1)) => return y z := mulmod(z, z, p) -@ -<>= +\end{chunk} +\begin{chunk}{INS.dotabb} "INS" [color=lightblue,href="bookvol10.2.pdf#nameddest=INS"]; "INS" -> "UFD" @@ -54725,8 +54729,8 @@ "INS" -> "CHARZ" "INS" -> "STEP" -@ -<>= +\end{chunk} +\begin{chunk}{INS.dotfull} "IntegerNumberSystem()" [color=lightblue,href="bookvol10.2.pdf#nameddest=INS"]; "IntegerNumberSystem()" -> "UniqueFactorizationDomain()" @@ -54744,8 +54748,8 @@ "IntegerNumberSystem()" -> "CharacteristicZero()" "IntegerNumberSystem()" -> "StepThrough()" -@ -<>= +\end{chunk} +\begin{chunk}{INS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -54780,13 +54784,13 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{LocalPowerSeriesCategory}{LOCPOWC} \pagepic{ps/v102localpowerseriescategory.ps}{LOCPOWC}{0.70} -<>= +\begin{chunk}{LocalPowerSeriesCategory.input} )set break resume )sys rm -f LocalPowerSeriesCategory.output )spool LocalPowerSeriesCategory.output @@ -54888,8 +54892,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LocalPowerSeriesCategory.help} ==================================================================== LocalPowerSeriesCategory examples ==================================================================== @@ -54897,7 +54901,7 @@ See Also: o )show LocalPowerSeriesCategory -@ +\end{chunk} {\bf See:} @@ -55153,7 +55157,7 @@ squareFreePart : % -> % \end{verbatim} -<>= +\begin{chunk}{category LOCPOWC LocalPowerSeriesCategory} )abbrev category LOCPOWC LocalPowerSeriesCategory LocalPowerSeriesCategory(K:Field):Category == Implementation where @@ -55219,21 +55223,21 @@ printInfo: () -> Boolean ++ returns the value of the \spad{printInfo} flag. -@ -<>= +\end{chunk} +\begin{chunk}{LOCPOWC.dotabb} "LOCPOWC" [color=lightblue,href="bookvol10.2.pdf#nameddest=LOCPOWC"]; "LOCPOWC" -> "UPSCAT" -@ -<>= +\end{chunk} +\begin{chunk}{LOCPOWC.dotfull} "LocalPowerSeriesCategory(f:Field)" [color=lightblue,href="bookvol10.2.pdf#nameddest=LOCPOWC"]; "LocalPowerSeriesCategory(f:Field)" -> "UnivariatePowerSeriesCategory(c:Ring,e:OrderedAbelianMonoid)" -@ -<>= +\end{chunk} +\begin{chunk}{LOCPOWC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -55248,13 +55252,13 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PAdicIntegerCategory}{PADICCT} \pagepic{ps/v102padicintegercategory.ps}{PADICCT}{0.70} -<>= +\begin{chunk}{PAdicIntegerCategory.input} )set break resume )sys rm -f PAdicIntegerCategory.output )spool PAdicIntegerCategory.output @@ -55312,8 +55316,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PAdicIntegerCategory.help} ==================================================================== PAdicIntegerCategory examples ==================================================================== @@ -55321,7 +55325,7 @@ See Also: o )show PAdicIntegerCategory -@ +\end{chunk} {\bf See:} \pagefrom{CharacteristicZero}{CHARZ} @@ -55462,7 +55466,7 @@ ?rem? : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category PADICCT PAdicIntegerCategory} )abbrev category PADICCT PAdicIntegerCategory ++ Author: Clifton J. Williamson ++ Date Created: 15 May 1990 @@ -55512,22 +55516,22 @@ ++ \spad{root(f,a)} returns a root of the polynomial \spad{f}. ++ Argument \spad{a} must be a root of \spad{f} \spad{(mod p)}. -@ -<>= +\end{chunk} +\begin{chunk}{PADICCT.dotabb} "PADICCT" [color=lightblue,href="bookvol10.2.pdf#nameddest=PADICCT"]; "PADICCT" -> "CHARZ" "PADICCT" -> "EUCDOM" -@ -<>= +\end{chunk} +\begin{chunk}{PADICCT.dotfull} "PAdicIntegerCategory(a:Integer)" [color=lightblue,href="bookvol10.2.pdf#nameddest=PADICCT"]; "PAdicIntegerCategory(a:Integer)" -> "CharacteristicZero()" "PAdicIntegerCategory(a:Integer)" -> "EuclideanDomain()" -@ -<>= +\end{chunk} +\begin{chunk}{PADICCT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -55573,12 +55577,12 @@ "BMODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PolynomialCategory}{POLYCAT} \pagepic{ps/v102polynomialcategory.ps}{POLYCAT}{0.40} -<>= +\begin{chunk}{PolynomialCategory.input} )set break resume )sys rm -f PolynomialCategory.output )spool PolynomialCategory.output @@ -55711,8 +55715,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PolynomialCategory.help} ==================================================================== PolynomialCategory examples ==================================================================== @@ -55720,7 +55724,7 @@ See Also: o )show PolynomialCategory -@ +\end{chunk} {\bf See:} \pageto{DifferentialPolynomialCategory}{DPOLCAT} @@ -56091,7 +56095,7 @@ if R has PFECAT \end{verbatim} -<>= +\begin{chunk}{category POLYCAT PolynomialCategory} )abbrev category POLYCAT PolynomialCategory ++ Author: ++ Date Created: @@ -56551,8 +56555,8 @@ map(convert, convert, p)$PolynomialCategoryLifting(E,VarSet,R,%,InputForm) -@ -<>= +\end{chunk} +\begin{chunk}{POLYCAT.dotabb} "POLYCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=POLYCAT"]; "POLYCAT" -> "PDRING" @@ -56565,8 +56569,8 @@ "POLYCAT" -> "GCDDOM" "POLYCAT" -> "PFECAT" -@ -<>= +\end{chunk} +\begin{chunk}{POLYCAT.dotfull} "PolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=POLYCAT"]; "PolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet)" @@ -56594,8 +56598,8 @@ [color=seagreen,href="bookvol10.2.pdf#nameddest=POLYCAT"]; "PolynomialCategory(a:Ring,b:NonNegativeInteger,c:SingletonAsOrderedSet)" -> "PolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet)" -@ -<>= +\end{chunk} +\begin{chunk}{POLYCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -56634,12 +56638,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariateTaylorSeriesCategory}{UTSCAT} \pagepic{ps/v102univariatetaylorseriescategory.ps}{UTSCAT}{0.60} -<>= +\begin{chunk}{UnivariateTaylorSeriesCategory.input} )set break resume )sys rm -f UnivariateTaylorSeriesCategory.output )spool UnivariateTaylorSeriesCategory.output @@ -56760,8 +56764,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateTaylorSeriesCategory.help} ==================================================================== UnivariateTaylorSeriesCategory examples ==================================================================== @@ -56769,7 +56773,7 @@ See Also: o )show UnivariateTaylorSeriesCategory -@ +\end{chunk} {\bf See:} \pagefrom{RadicalCategory}{RADCAT} @@ -57053,7 +57057,7 @@ sqrt : % -> % if Coef has ALGEBRA FRAC INT \end{verbatim} -<>= +\begin{chunk}{category UTSCAT UnivariateTaylorSeriesCategory} )abbrev category UTSCAT UnivariateTaylorSeriesCategory ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -57331,21 +57335,21 @@ acsch x == series acsch(coefficients x)$STNC -@ -<>= +\end{chunk} +\begin{chunk}{UTSCAT.dotabb} "UTSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=UTSCAT"]; "UTSCAT" -> "UPSCAT" -@ -<>= +\end{chunk} +\begin{chunk}{UTSCAT.dotfull} "UnivariateTaylorSeriesCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=UTSCAT"]; "UnivariateTaylorSeriesCategory(a:Ring)" -> "UnivariatePowerSeriesCategory(a:Ring,NonNegativeInteger)" -@ -<>= +\end{chunk} +\begin{chunk}{UTSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -57419,13 +57423,13 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 16} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AlgebraicallyClosedField}{ACF} \pagepic{ps/v102algebraicallyclosedfield.ps}{ACF}{0.75} -<>= +\begin{chunk}{AlgebraicallyClosedField.input} )set break resume )sys rm -f AlgebraicallyClosedField.output )spool AlgebraicallyClosedField.output @@ -57561,8 +57565,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AlgebraicallyClosedField.help} ==================================================================== AlgebraicallyClosedField examples ==================================================================== @@ -57647,7 +57651,7 @@ See Also: o )show AlgebraicallyClosedField -@ +\end{chunk} {\bf See:} \pageto{AlgebraicallyClosedFunctionSpace}{ACFS} @@ -57822,7 +57826,7 @@ ?**? : (%,Fraction Integer) -> % \end{verbatim} -<>= +\begin{chunk}{category ACF AlgebraicallyClosedField} )abbrev category ACF AlgebraicallyClosedField ++ Author: Manuel Bronstein ++ Date Created: 22 Mar 1988 @@ -58008,22 +58012,22 @@ ans := concat(alpha, ans) reverse_! ans -@ -<>= +\end{chunk} +\begin{chunk}{ACF.dotabb} "ACF" [color=lightblue,href="bookvol10.2.pdf#nameddest=ACF"]; "ACF" -> "FIELD" "ACF" -> "RADCAT" -@ -<>= +\end{chunk} +\begin{chunk}{ACF.dotfull} "AlgebraicallyClosedField()" [color=lightblue,href="bookvol10.2.pdf#nameddest=ACF"]; "AlgebraicallyClosedField()" -> "Field()" "AlgebraicallyClosedField()" -> "RadicalCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{ACF.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -58056,12 +58060,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{DifferentialPolynomialCategory}{DPOLCAT} \pagepic{ps/v102differentialpolynomialcategory.ps}{DPOLCAT}{0.35} -<>= +\begin{chunk}{DifferentialPolynomialCategory.input} )set break resume )sys rm -f DifferentialPolynomialCategory.output )spool DifferentialPolynomialCategory.output @@ -58225,8 +58229,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DifferentialPolynomialCategory.help} ==================================================================== DifferentialPolynomialCategory examples ==================================================================== @@ -58234,7 +58238,7 @@ See Also: o )show DifferentialPolynomialCategory -@ +\end{chunk} {\bf See:} \pagefrom{DifferentialExtension}{DIFEXT} @@ -58622,7 +58626,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category DPOLCAT DifferentialPolynomialCategory} )abbrev category DPOLCAT DifferentialPolynomialCategory ++ Author: William Sit ++ Date Created: 19 July 1990 @@ -58859,16 +58863,16 @@ eval(p, [retract(lhs e)@S for e in l]$List(S), [rhs e for e in l]$List($)) -@ -<>= +\end{chunk} +\begin{chunk}{DPOLCAT.dotabb} "DPOLCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DPOLCAT"]; "DPOLCAT" -> "DIFEXT" "DPOLCAT" -> "POLYCAT" "DPOLCAT" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{DPOLCAT.dotfull} "DifferentialPolynomialCategory(a:Ring,b:OrderedSet,c:DifferentialVariableCategory(b),d:OrderedAbelianMonoidSup)" [color=lightblue,href="bookvol10.2.pdf#nameddest=DPOLCAT"]; "DifferentialPolynomialCategory(a:Ring,b:OrderedSet,c:DifferentialVariableCategory(b),d:OrderedAbelianMonoidSup)" @@ -58878,8 +58882,8 @@ "DifferentialPolynomialCategory(a:Ring,b:OrderedSet,c:DifferentialVariableCategory(b),d:OrderedAbelianMonoidSup)" -> "RetractableTo(OrderedSet)" -@ -<>= +\end{chunk} +\begin{chunk}{DPOLCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -58942,12 +58946,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FieldOfPrimeCharacteristic}{FPC} \pagepic{ps/v102fieldofprimecharacteristic.ps}{FPC}{1.00} -<>= +\begin{chunk}{FieldOfPrimeCharacteristic.input} )set break resume )sys rm -f FieldOfPrimeCharacteristic.output )spool FieldOfPrimeCharacteristic.output @@ -59009,8 +59013,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FieldOfPrimeCharacteristic.help} ==================================================================== FieldOfPrimeCharacteristic examples ==================================================================== @@ -59018,7 +59022,7 @@ See Also: o )show FieldOfPrimeCharacteristic -@ +\end{chunk} {\bf See:} \pageto{FiniteFieldCategory}{FFIELDC} @@ -59180,7 +59184,7 @@ charthRoot : % -> Union(%,"failed") \end{verbatim} -<>= +\begin{chunk}{category FPC FieldOfPrimeCharacteristic} )abbrev category FPC FieldOfPrimeCharacteristic ++ Author: J. Grabmeier, A. Scheerhorn ++ Date Created: 10 March 1991 @@ -59216,21 +59220,21 @@ primeFrobenius(a) == a ** characteristic() primeFrobenius(a,s) == a ** (characteristic()**s) -@ -<>= +\end{chunk} +\begin{chunk}{FPC.dotabb} "FPC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPC"]; "FPC" -> "CHARNZ" "FPC" -> "FIELD" -@ -<>= +\end{chunk} +\begin{chunk}{FPC.dotfull} "FieldOfPrimeCharacteristic()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPC"]; "FieldOfPrimeCharacteristic()" -> "CharacteristicNonZero()" -@ -<>= +\end{chunk} +\begin{chunk}{FPC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -59259,12 +59263,12 @@ "CHARNZ..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteRankAlgebra}{FINRALG} \pagepic{ps/v102finiterankalgebra.ps}{FINRALG}{0.50} -<>= +\begin{chunk}{FiniteRankAlgebra.input} )set break resume )sys rm -f FiniteRankAlgebra.output )spool FiniteRankAlgebra.output @@ -59312,8 +59316,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteRankAlgebra.help} ==================================================================== FiniteRankAlgebra examples ==================================================================== @@ -59321,7 +59325,7 @@ See Also: o )show FiniteRankAlgebra -@ +\end{chunk} {\bf See:} \pageto{FramedAlgebra}{FRAMALG} @@ -59441,7 +59445,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category FINRALG FiniteRankAlgebra} )abbrev category FINRALG FiniteRankAlgebra ++ Author: Barry Trager ++ Date Created: @@ -59517,8 +59521,8 @@ matrix [parts coordinates(x*b(i+m),b) for i in 1..rank()]$List(List R) -@ -<>= +\end{chunk} +\begin{chunk}{FINRALG.dotabb} "FINRALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FINRALG"]; "FINRALG" -> "ALGEBRA" @@ -59526,8 +59530,8 @@ "FINRALG" -> "CHARNZ" "FINRALG" -> "CHARZ" -@ -<>= +\end{chunk} +\begin{chunk}{FINRALG.dotfull} "FiniteRankAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" [color=lightblue,href="bookvol10.2.pdf#nameddest=FINRALG"]; "FiniteRankAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" -> @@ -59539,8 +59543,8 @@ "FiniteRankAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" -> "CharacteristicZero()" -@ -<>= +\end{chunk} +\begin{chunk}{FINRALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -59579,12 +59583,12 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FunctionSpace}{FS} \pagepic{ps/v102functionspace.ps}{FS}{0.65} -<>= +\begin{chunk}{FunctionSpace.input} )set break resume )sys rm -f FunctionSpace.output )spool FunctionSpace.output @@ -59766,8 +59770,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FunctionSpace.help} ==================================================================== FunctionSpace examples ==================================================================== @@ -59775,7 +59779,7 @@ See Also: o )show FunctionSpace -@ +\end{chunk} {\bf See:} \pagefrom{AbelianGroup}{ABELGRP} @@ -60245,7 +60249,7 @@ ?*? : (Fraction Integer,%) -> % if R has INTDOM \end{verbatim} -<>= +\begin{chunk}{category FS FunctionSpace} )abbrev category FS FunctionSpace ++ Category for formal functions ++ Author: Manuel Bronstein @@ -60945,8 +60949,8 @@ convert(x:%):Pattern(Float) == convert(numer x) / convert(denom x) -@ -<>= +\end{chunk} +\begin{chunk}{FS.dotabb} "FS" [color=lightblue,href="bookvol10.2.pdf#nameddest=FS"]; "FS" -> "ES" @@ -60965,8 +60969,8 @@ "FS" -> "INTDOM" "FS" -> "FIELD" -@ -<>= +\end{chunk} +\begin{chunk}{FS.dotfull} "FunctionSpace(a:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FS"]; "FunctionSpace(a:OrderedSet)" -> "ExpressionSpace()" @@ -60987,8 +60991,8 @@ "FunctionSpace(a:OrderedSet)" -> "RetractableTo(Integer)" "FunctionSpace(a:OrderedSet)" -> "RetractableTo(Fraction(Integer))" -@ -<>= +\end{chunk} +\begin{chunk}{FS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -61033,12 +61037,12 @@ "RETRACT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{InfinitlyClosePointCategory}{INFCLCT} \pagepic{ps/v102infinitlyclosepointcategory.eps}{INFCLCT}{0.50} -<>= +\begin{chunk}{InfinitlyClosePointCategory.input} )set break resume )sys rm -f InfinitlyClosePointCategory.output )spool InfinitlyClosePointCategory.output @@ -61097,8 +61101,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InfinitlyClosePointCategory.help} ==================================================================== InfinitlyClosePointCategory examples ==================================================================== @@ -61106,7 +61110,7 @@ See Also: o )show InfinitlyClosePointCategory -@ +\end{chunk} \pagefrom{SetCategoryWithDegree}{SETCATD} @@ -61180,7 +61184,7 @@ latex : % -> String \end{verbatim} -<>= +\begin{chunk}{category INFCLCT InfinitlyClosePointCategory} )abbrev category INFCLCT InfinitlyClosePointCategory ++ Authors: Gaetan Hache ++ Date Created: may 1997 @@ -61261,20 +61265,20 @@ actualExtensionV: % -> K -@ -<>= +\end{chunk} +\begin{chunk}{INFCLCT.dotabb} "INFCLCT" [color=lightblue,href="bookvol10.2.pdf#nameddest=INFCLCT"]; "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "INFCLCT" -> "ALIST" -@ -<>= +\end{chunk} +\begin{chunk}{INFCLCT.dotfull} "InfinitlyClosePointCategory" [color=lightblue,href="bookvol10.2.pdf#nameddest=INFCLCT"]; "InfinitlyClosePointCategory" -> "AssocationList(SetCategory,SetCategory)" -@ -<>= +\end{chunk} +\begin{chunk}{INFCLCT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -61289,12 +61293,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PseudoAlgebraicClosureOfPerfectFieldCategory}{PACPERC} \pagepic{ps/v102pseudoalgebraicclosureofperfectfieldcategory.ps}{PACPERC}{0.50} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfPerfectFieldCategory.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfPerfectFieldCategory.output )spool PseudoAlgebraicClosureOfPerfectFieldCategory.output @@ -61364,8 +61368,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfPerfectFieldCategory.help} ==================================================================== PseudoAlgebraicClosureOfPerfectFieldCategory examples ==================================================================== @@ -61373,7 +61377,7 @@ See Also: o )show PseudoAlgebraicClosureOfPerfectFieldCategory -@ +\end{chunk} \pagefrom{Field}{FIELD} @@ -61556,7 +61560,7 @@ ?^? : (%,Integer) -> % \end{verbatim} -<>= +\begin{chunk}{category PACPERC PseudoAlgebraicClosureOfPerfectFieldCategory} )abbrev category PACPERC PseudoAlgebraicClosureOfPerfectFieldCategory ++ Authors: Gaetan Hache ++ Date Created: may 1997 @@ -61619,19 +61623,19 @@ setTower_!: % -> Void fullOutput: % -> OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{PACPERC.dotabb} "PACPERC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACPERC"]; "PACPERC" -> "FIELD" -@ -<>= +\end{chunk} +\begin{chunk}{PACPERC.dotfull} "PseudoAlgebraicClosureOfPerfectFieldCategory" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACPERC"]; "PseudoAlgebraicClosureOfPerfectFieldCategory" -> "Field()" -@ -<>= +\end{chunk} +\begin{chunk}{PACPERC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -61644,12 +61648,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{QuotientFieldCategory}{QFCAT} \pagepic{ps/v102quotientfieldcategory.ps}{QFCAT}{0.50} -<>= +\begin{chunk}{QuotientFieldCategory.input} )set break resume )sys rm -f QuotientFieldCategory.output )spool QuotientFieldCategory.output @@ -61773,8 +61777,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QuotientFieldCategory.help} ==================================================================== QuotientFieldCategory examples ==================================================================== @@ -61782,7 +61786,7 @@ See Also: o )show QuotientFieldCategory -@ +\end{chunk} {\bf See:} \pagefrom{Algebra}{ALGEBRA} @@ -62132,7 +62136,7 @@ if S has PFECAT \end{verbatim} -<>= +\begin{chunk}{category QFCAT QuotientFieldCategory} )abbrev category QFCAT QuotientFieldCategory ++ Author: ++ Date Created: @@ -62290,8 +62294,8 @@ [subMatrix(n, minRowIndex n, maxRowIndex n, 1 + minColIndex n, maxColIndex n), column(n, minColIndex n)] -@ -<>= +\end{chunk} +\begin{chunk}{QFCAT.dotabb} "QFCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=QFCAT"]; "QFCAT" -> "ALGEBRA" @@ -62303,8 +62307,8 @@ "QFCAT" -> "PATAB" "QFCAT" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{QFCAT.dotfull} "QuotientFieldCategory(a:IntegralDomain)" [color=lightblue,href="bookvol10.2.pdf#nameddest=QFCAT"]; "QuotientFieldCategory(a:IntegralDomain)" -> "Field()" @@ -62321,8 +62325,8 @@ "QuotientFieldCategory(a:IntegralDomain)" -> "FullyPatternMatchable(IntegralDomain)" -@ -<>= +\end{chunk} +\begin{chunk}{QFCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -62349,12 +62353,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RealClosedField}{RCFIELD} \pagepic{ps/v102realclosedfield.ps}{RCFIELD}{0.50} -<>= +\begin{chunk}{RealClosedField.input} )set break resume )sys rm -f RealClosedField.output )spool RealClosedField.output @@ -62442,8 +62446,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RealClosedField.help} ==================================================================== RealClosedField examples ==================================================================== @@ -62451,7 +62455,7 @@ See Also: o )show RealClosedField -@ +\end{chunk} {\bf See:} \pagefrom{Algebra}{ALGEBRA} @@ -62694,7 +62698,7 @@ ?*? : (%,Integer) -> % \end{verbatim} -<>= +\begin{chunk}{category RCFIELD RealClosedField} )abbrev category RCFIELD RealClosedField ++ Author: Renaud Rioboo ++ Date Created: may 1993 @@ -62850,8 +62854,8 @@ allRootsOf(p:POLY(Z)) == allRootsOf(univariate(p)) -@ -<>= +\end{chunk} +\begin{chunk}{RCFIELD.dotabb} "RCFIELD" [color=lightblue,href="bookvol10.2.pdf#nameddest=RCFIELD"]; "RCFIELD" -> "ALGEBRA" @@ -62862,8 +62866,8 @@ "RCFIELD" -> "ORDRING" "RCFIELD" -> "RADCAT" -@ -<>= +\end{chunk} +\begin{chunk}{RCFIELD.dotfull} "RealClosedField()" [color=lightblue,href="bookvol10.2.pdf#nameddest=RCFIELD"]; "RealClosedField()" -> "Algebra(Integer)" @@ -62875,8 +62879,8 @@ "RealClosedField()" -> "OrderedRing()" "RealClosedField()" -> "RadicalCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{RCFIELD.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -62901,12 +62905,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RealNumberSystem}{RNS} \pagepic{ps/v102realnumbersystem.ps}{RNS}{0.50} -<>= +\begin{chunk}{RealNumberSystem.input} )set break resume )sys rm -f RealNumberSystem.output )spool RealNumberSystem.output @@ -62980,8 +62984,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RealNumberSystem.help} ==================================================================== RealNumberSystem examples ==================================================================== @@ -62989,7 +62993,7 @@ See Also: o )show RealNumberSystem -@ +\end{chunk} {\bf See:} \pageto{FloatingPointSystem}{FPS} @@ -63207,7 +63211,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category RNS RealNumberSystem} )abbrev category RNS RealNumberSystem ++ Author: Michael Monagan and Stephen M. Watt ++ Date Created: @@ -63279,8 +63283,8 @@ failed() failed() -@ -<>= +\end{chunk} +\begin{chunk}{RNS.dotabb} "RNS" [color=lightblue,href="bookvol10.2.pdf#nameddest=RNS"]; "RNS" -> "FIELD" @@ -63292,8 +63296,8 @@ "RNS" -> "PATMAB" "RNS" -> "CHARZ" -@ -<>= +\end{chunk} +\begin{chunk}{RNS.dotfull} "RealNumberSystem()" [color=lightblue,href="bookvol10.2.pdf#nameddest=RNS"]; "RealNumberSystem()" -> "Field()" @@ -63306,8 +63310,8 @@ "RealNumberSystem()" -> "PatternMatchable(Float)" "RealNumberSystem()" -> "CharacteristicZero()" -@ -<>= +\end{chunk} +\begin{chunk}{RNS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -63333,12 +63337,12 @@ "CHARZ..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{RecursivePolynomialCategory}{RPOLCAT} \pagepic{ps/v102recursivepolynomialcategory.ps}{RPOLCAT}{0.30} -<>= +\begin{chunk}{RecursivePolynomialCategory.input} )set break resume )sys rm -f RecursivePolynomialCategory.output )spool RecursivePolynomialCategory.output @@ -63530,8 +63534,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RecursivePolynomialCategory.help} ==================================================================== RecursivePolynomialCategory examples ==================================================================== @@ -63539,7 +63543,7 @@ See Also: o )show RecursivePolynomialCategory -@ +\end{chunk} {\bf See:} \pagefrom{PolynomialCategory}{POLYCAT} @@ -64025,7 +64029,7 @@ ?>=? : (%,%) -> Boolean if R has ORDSET \end{verbatim} -<>= +\begin{chunk}{category RPOLCAT RecursivePolynomialCategory} )abbrev category RPOLCAT RecursivePolynomialCategory ++ Author: Marc Moreno Maza ++ Date Created: 04/22/1994 @@ -65247,21 +65251,21 @@ stpol := concat(" + ",stpol)$String concat([sipol,svpol,sdpol,stpol])$String -@ -<>= +\end{chunk} +\begin{chunk}{RPOLCAT.dotabb} "RPOLCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=RPOLCAT"]; "RPOLCAT" -> "POLYCAT" -@ -<>= +\end{chunk} +\begin{chunk}{RPOLCAT.dotfull} "RecursivePolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet)" [color=lightblue,href="bookvol10.2.pdf#nameddest=RPOLCAT"]; "RecursivePolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet)" -> "PolynomialCategory(a:Ring,b:OrderedAbelianMonoidSup,c:OrderedSet)" -@ -<>= +\end{chunk} +\begin{chunk}{RPOLCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -65314,12 +65318,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariateLaurentSeriesCategory}{ULSCAT} \pagepic{ps/v102univariatelaurentseriescategory.ps}{ULSCAT}{0.50} -<>= +\begin{chunk}{UnivariateLaurentSeriesCategory.input} )set break resume )sys rm -f UnivariateLaurentSeriesCategory.output )spool UnivariateLaurentSeriesCategory.output @@ -65458,8 +65462,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateLaurentSeriesCategory.help} ==================================================================== UnivariateLaurentSeriesCategory examples ==================================================================== @@ -65467,7 +65471,7 @@ See Also: o )show UnivariateLaurentSeriesCategory -@ +\end{chunk} {\bf See:} \pageto{UnivariateLaurentSeriesConstructorCategory}{ULSCCAT} @@ -65811,7 +65815,7 @@ ?rem? : (%,%) -> % if Coef has FIELD \end{verbatim} -<>= +\begin{chunk}{category ULSCAT UnivariateLaurentSeriesCategory} )abbrev category ULSCAT UnivariateLaurentSeriesCategory ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -65881,8 +65885,8 @@ --++ Univariate Laurent series over a field form a field. --++ In fact, K((x)) is the quotient field of K[[x]]. -@ -<>= +\end{chunk} +\begin{chunk}{ULSCAT.dotabb} "ULSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=ULSCAT"]; "ULSCAT" -> "UPSCAT" @@ -65890,8 +65894,8 @@ "ULSCAT" -> "TRANFUN" "ULSCAT" -> "RADCAT" -@ -<>= +\end{chunk} +\begin{chunk}{ULSCAT.dotfull} "UnivariateLaurentSeriesCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=ULSCAT"]; "UnivariateLaurentSeriesCategory(a:Ring)" -> @@ -65903,8 +65907,8 @@ "UnivariateLaurentSeriesCategory(a:Ring)" -> "UnivariatePowerSeriesCategory(a:Ring,Integer)" -@ -<>= +\end{chunk} +\begin{chunk}{ULSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -65945,12 +65949,12 @@ "RADCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariatePuiseuxSeriesCategory}{UPXSCAT} \pagepic{ps/v102univariatepuiseuxseriescategory.ps}{UPXSCAT}{0.50} -<>= +\begin{chunk}{UnivariatePuiseuxSeriesCategory.input} )set break resume )sys rm -f UnivariatePuiseuxSeriesCategory.output )spool UnivariatePuiseuxSeriesCategory.output @@ -66090,8 +66094,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePuiseuxSeriesCategory.help} ==================================================================== UnivariatePuiseuxSeriesCategory examples ==================================================================== @@ -66099,7 +66103,7 @@ See Also: o )show UnivariatePuiseuxSeriesCategory -@ +\end{chunk} {\bf See:} \pageto{UnivariatePuiseuxSeriesConstructorCategory}{UPXSCCA} @@ -66436,7 +66440,7 @@ ?**? : (%,Fraction Integer) -> % if Coef has ALGEBRA FRAC INT \end{verbatim} -<>= +\begin{chunk}{category UPXSCAT UnivariatePuiseuxSeriesCategory} )abbrev category UPXSCAT UnivariatePuiseuxSeriesCategory ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -66497,8 +66501,8 @@ if Coef has Field then Field --++ Univariate Puiseux series over a field form a field. -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCAT.dotabb} "UPXSCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPXSCAT"]; "UPXSCAT" -> "TRANFUN" @@ -66506,8 +66510,8 @@ "UPXSCAT" -> "RADCAT" "UPXSCAT" -> "UPSCAT" -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCAT.dotfull} "UnivariatePuiseuxSeriesCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPXSCAT"]; "UnivariatePuiseuxSeriesCategory(a:Ring)" -> @@ -66519,8 +66523,8 @@ "UnivariatePuiseuxSeriesCategory(a:Ring)" -> "RadicalCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -66561,12 +66565,12 @@ "AMR..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariatePolynomialCategory}{UPOLYC} \pagepic{ps/v102univariatepolynomialcategory.ps}{UPOLYC}{0.35} -<>= +\begin{chunk}{UnivariatePolynomialCategory.input} )set break resume )sys rm -f UnivariatePolynomialCategory.output )spool UnivariatePolynomialCategory.output @@ -66756,8 +66760,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePolynomialCategory.help} ==================================================================== UnivariatePolynomialCategory examples ==================================================================== @@ -66765,7 +66769,7 @@ See Also: o )show UnivariatePolynomialCategory -@ +\end{chunk} {\bf See:} \pagefrom{Algebra}{ALGEBRA} @@ -67270,7 +67274,7 @@ \begin{verbatim} \end{verbatim} -<>= +\begin{chunk}{category UPOLYC UnivariatePolynomialCategory} )abbrev category UPOLYC UnivariatePolynomialCategory ++ Author: ++ Date Created: @@ -67668,8 +67672,8 @@ p := reductum p ans -@ -<>= +\end{chunk} +\begin{chunk}{UPOLYC.dotabb} "UPOLYC" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPOLYC"]; "UPOLYC" -> "POLYCAT" @@ -67684,8 +67688,8 @@ "UPOLYC" -> "ALGEBRA" "UPOLYC" -> "PFECAT" -@ -<>= +\end{chunk} +\begin{chunk}{UPOLYC.dotfull} "UnivariatePolynomialCategory(a:Ring)" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPOLYC"]; "UnivariatePolynomialCategory(a:Ring)" -> @@ -67713,8 +67717,8 @@ "UnivariatePolynomialCategory(a:Ring)" -> "PolynomialFactorizationExplicit()" -@ -<>= +\end{chunk} +\begin{chunk}{UPOLYC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -67747,13 +67751,13 @@ } -@ +\end{chunk} \chapter{Category Layer 17} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{AlgebraicallyClosedFunctionSpace}{ACFS} \pagepic{ps/v102algebraicallyclosedfunctionspace.ps}{ACFS}{0.45} -<>= +\begin{chunk}{AlgebraicallyClosedFunctionSpace.input} )set break resume )sys rm -f AlgebraicallyClosedFunctionSpace.output )spool AlgebraicallyClosedFunctionSpace.output @@ -67934,8 +67938,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AlgebraicallyClosedFunctionSpace.help} ==================================================================== AlgebraicallyClosedFunctionSpace examples ==================================================================== @@ -67943,7 +67947,7 @@ See Also: o )show AlgebraicallyClosedFunctionSpace -@ +\end{chunk} {\bf See:} \pagefrom{AlgebraicallyClosedField}{ACF} @@ -68345,7 +68349,7 @@ if R has INTDOM \end{verbatim} -<>= +\begin{chunk}{category ACFS AlgebraicallyClosedFunctionSpace} )abbrev category ACFS AlgebraicallyClosedFunctionSpace ++ Author: Manuel Bronstein ++ Date Created: 31 October 1988 @@ -68448,15 +68452,15 @@ (r := retractIfCan(p)@Union($,"failed")) case $ => zeroOf(r::$, y) zeroOf(p, y)$AlgebraicallyClosedField_&($) -@ -<>= +\end{chunk} +\begin{chunk}{ACFS.dotabb} "ACFS" [color=lightblue,href="bookvol10.2.pdf#nameddest=ACFS"]; "ACFS" -> "ACF" "ACFS" -> "FS" -@ -<>= +\end{chunk} +\begin{chunk}{ACFS.dotfull} "AlgebraicallyClosedFunctionSpace(a:Join(OrderedSet,IntegralDomain))" [color=lightblue,href="bookvol10.2.pdf#nameddest=ACFS"]; "AlgebraicallyClosedFunctionSpace(a:Join(OrderedSet,IntegralDomain))" @@ -68464,8 +68468,8 @@ "AlgebraicallyClosedFunctionSpace(a:Join(OrderedSet,IntegralDomain))" -> "FunctionSpace(a:OrderedSet)" -@ -<>= +\end{chunk} +\begin{chunk}{ACFS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -68517,12 +68521,12 @@ "RETRACT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ExtensionField}{XF} \pagepic{ps/v102extensionfield.ps}{XF}{0.75} -<>= +\begin{chunk}{ExtensionField.input} )set break resume )sys rm -f ExtensionField.output )spool ExtensionField.output @@ -68595,8 +68599,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ExtensionField.help} ==================================================================== ExtensionField examples ==================================================================== @@ -68604,7 +68608,7 @@ See Also: o )show ExtensionField -@ +\end{chunk} {\bf See:} \pageto{FiniteAlgebraicExtensionField}{FAXF} @@ -68808,7 +68812,7 @@ if F has CHARNZ or F has FINITE \end{verbatim} -<>= +\begin{chunk}{category XF ExtensionField} )abbrev category XF ExtensionField ++ Author: J. Grabmeier, A. Scheerhorn ++ Date Created: 10 March 1991 @@ -68863,8 +68867,8 @@ Frobenius(a) == a ** size()$F Frobenius(a,s) == a ** (size()$F ** s) -@ -<>= +\end{chunk} +\begin{chunk}{XF.dotabb} "XF" [color=lightblue,href="bookvol10.2.pdf#nameddest=XF"]; "XF" -> "FIELD" @@ -68872,8 +68876,8 @@ "XF" -> "VSPACE" "XF" -> "FPC" -@ -<>= +\end{chunk} +\begin{chunk}{XF.dotfull} "ExtensionField(a:Field)" [color=lightblue,href="bookvol10.2.pdf#nameddest=XF"]; "ExtensionField(a:Field)" -> "Field()" @@ -68881,8 +68885,8 @@ "ExtensionField(a:Field)" -> "VectorSpace(a:Field)" "ExtensionField(a:Field)" -> "FieldOfPrimeCharacteristic()" -@ -<>= +\end{chunk} +\begin{chunk}{XF.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -68927,12 +68931,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteFieldCategory}{FFIELDC} \pagepic{ps/v102finitefieldcategory.ps}{FFIELDC}{0.70} -<>= +\begin{chunk}{FiniteFieldCategory.input} )set break resume )sys rm -f FiniteFieldCategory.output )spool FiniteFieldCategory.output @@ -69007,8 +69011,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldCategory.help} ==================================================================== FiniteFieldCategory examples ==================================================================== @@ -69016,7 +69020,7 @@ See Also: o )show FiniteFieldCategory -@ +\end{chunk} {\bf See:} \pagefrom{DifferentialRing}{DIFRING} @@ -69224,7 +69228,7 @@ differentiate : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category FFIELDC FiniteFieldCategory} )abbrev category FFIELDC FiniteFieldCategory ++ Author: J. Grabmeier, A. Scheerhorn ++ Date Created: 11 March 1991 @@ -69463,8 +69467,8 @@ gcdPolynomial(f:FP,g:FP):FP == gcd(f,g)$EuclideanDomain_&(FP) -@ -<>= +\end{chunk} +\begin{chunk}{FFIELDC.dotabb} "FFIELDC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FFIELDC"]; "FFIELDC" -> "FPC" @@ -69472,8 +69476,8 @@ "FFIELDC" -> "STEP" "FFIELDC" -> "DIFRING" -@ -<>= +\end{chunk} +\begin{chunk}{FFIELDC.dotfull} "FiniteFieldCategory()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FFIELDC"]; "FiniteFieldCategory()" -> "FieldOfPrimeCharacteristic()" @@ -69481,8 +69485,8 @@ "FiniteFieldCategory()" -> "StepThrough()" "FiniteFieldCategory()" -> "DifferentialRing()" -@ -<>= +\end{chunk} +\begin{chunk}{FFIELDC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -69514,12 +69518,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FloatingPointSystem}{FPS} \pagepic{ps/v102floatingpointsystem.ps}{FPS}{0.50} -<>= +\begin{chunk}{FloatingPointSystem.input} )set break resume )sys rm -f FloatingPointSystem.output )spool FloatingPointSystem.output @@ -69605,8 +69609,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FloatingPointSystem.help} ==================================================================== FloatingPointSystem examples ==================================================================== @@ -69614,7 +69618,7 @@ See Also: o )show FloatingPointSystem -@ +\end{chunk} {\bf See:} \pagefrom{RealNumberSystem}{RNS} @@ -69854,7 +69858,7 @@ ?rem? : (%,%) -> % \end{verbatim} -<>= +\begin{chunk}{category FPS FloatingPointSystem} )abbrev category FPS FloatingPointSystem ++ Author: ++ Date Created: @@ -69949,20 +69953,20 @@ float(ma, ex) == float(ma, ex, base()) digits() == max(1,4004 * (bits()-1) quo 13301)::PositiveInteger -@ -<>= +\end{chunk} +\begin{chunk}{FPS.dotabb} "FPS" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPS"]; "FPS" -> "RNS" -@ -<>= +\end{chunk} +\begin{chunk}{FPS.dotfull} "FloatingPointSystem()" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPS"]; "FloatingPointSystem()" -> "RealNumberSystem()" -@ -<>= +\end{chunk} +\begin{chunk}{FPS.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -69991,12 +69995,12 @@ "CHARZ..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FramedAlgebra}{FRAMALG} \pagepic{ps/v102framedalgebra.ps}{FRAMALG}{0.50} -<>= +\begin{chunk}{FramedAlgebra.input} )set break resume )sys rm -f FramedAlgebra.output )spool FramedAlgebra.output @@ -70049,8 +70053,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FramedAlgebra.help} ==================================================================== FramedAlgebra examples ==================================================================== @@ -70058,7 +70062,7 @@ See Also: o )show FramedAlgebra -@ +\end{chunk} {\bf See:} \pageto{MonogenicAlgebra}{MONOGEN} @@ -70175,7 +70179,7 @@ ?^? : (%,NonNegativeInteger) -> % \end{verbatim} -<>= +\begin{chunk}{category FRAMALG FramedAlgebra} )abbrev category FRAMALG FramedAlgebra ++ Author: Barry Trager ++ Date Created: @@ -70263,21 +70267,21 @@ v:=first nullSpace(m) +/[monomial(v.(i+1),i) for i in 0..#v-1] -@ -<>= +\end{chunk} +\begin{chunk}{FRAMALG.dotabb} "FRAMALG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FRAMALG"]; "FRAMALG" -> "FINRALG" -@ -<>= +\end{chunk} +\begin{chunk}{FRAMALG.dotfull} "FramedAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" [color=lightblue,href="bookvol10.2.pdf#nameddest=FRAMALG"]; "FramedAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" -> "FiniteRankAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" -@ -<>= +\end{chunk} +\begin{chunk}{FRAMALG.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -70321,12 +70325,12 @@ "MODULE..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PseudoAlgebraicClosureOfFiniteFieldCategory}{PACFFC} \pagepic{ps/v102pseudoalgebraicclosureoffinitefieldcategory.ps}{PACFFC}{0.50} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfFiniteFieldCategory.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfFiniteFieldCategory.output )spool PseudoAlgebraicClosureOfFiniteFieldCategory.output @@ -70414,8 +70418,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfFiniteFieldCategory.help} ==================================================================== PseudoAlgebraicClosureOfFiniteFieldCategory examples ==================================================================== @@ -70423,7 +70427,7 @@ See Also: o )show PseudoAlgebraicClosureOfFiniteFieldCategory -@ +\end{chunk} \pagefrom{FieldOfPrimeCharacteristic}{FPC} \pagefrom{PseudoAlgebraicClosureOfPerfectFieldCategory}{PACPERC} @@ -70638,7 +70642,7 @@ Table(PositiveInteger,NonNegativeInteger) \end{verbatim} -<>= +\begin{chunk}{category PACFFC PseudoAlgebraicClosureOfFiniteFieldCategory} )abbrev category PACFFC PseudoAlgebraicClosureOfFiniteFieldCategory -- PseudoAlgebraicClosureOfFiniteFieldCategory ++ Authors: Gaetan Hache @@ -70663,13 +70667,13 @@ PseudoAlgebraicClosureOfFiniteFieldCategory:Category == Join(FiniteFieldCategory, PseudoAlgebraicClosureOfPerfectFieldCategory) -@ -<>= +\end{chunk} +\begin{chunk}{PACFFC.dotabb} "PACFFC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACFFC"]; "PACFFC" -> "PACPERC" -@ -<>= +\end{chunk} +\begin{chunk}{PACFFC.dotfull} "PseudoAlgebraicClosureOfFiniteFieldCategory" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACFFC"]; "PseudoAlgebraicClosureOfFiniteFieldCategory" -> @@ -70677,8 +70681,8 @@ "PseudoAlgebraicClosureOfFiniteFieldCategory" -> "FiniteFieldCategory()" -@ -<>= +\end{chunk} +\begin{chunk}{PACFFC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -70693,12 +70697,12 @@ } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariateLaurentSeriesConstructorCategory}{ULSCCAT} \pagepic{ps/v102univariatelaurentseriesconstructorcategory.ps}{ULSCCAT}{0.50} -<>= +\begin{chunk}{UnivariateLaurentSeriesConstructorCategory.input} )set break resume )sys rm -f UnivariateLaurentSeriesConstructorCategory.output )spool UnivariateLaurentSeriesConstructorCategory.output @@ -70901,8 +70905,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateLaurentSeriesConstructorCategory.help} ==================================================================== UnivariateLaurentSeriesConstructorCategory examples ==================================================================== @@ -70910,7 +70914,7 @@ See Also: o )show UnivariateLaurentSeriesConstructorCategory -@ +\end{chunk} {\bf See:} \pagefrom{RetractableTo}{RETRACT} @@ -71424,7 +71428,7 @@ ?>=? : (%,%) -> Boolean if and(has(UTS,OrderedSet),has(Coef,Field)) \end{verbatim} -<>= +\begin{chunk}{category ULSCCAT UnivariateLaurentSeriesConstructorCategory} )abbrev category ULSCCAT UnivariateLaurentSeriesConstructorCategory ++ Author: Clifton J. Williamson ++ Date Created: 6 February 1990 @@ -71500,21 +71504,21 @@ retractIfCan(x:%):Union(UTS,"failed") == taylorIfCan x -@ -<>= +\end{chunk} +\begin{chunk}{ULSCCAT.dotabb} "ULSCCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=ULSCCAT"]; "ULSCCAT" -> "ULSCAT" -@ -<>= +\end{chunk} +\begin{chunk}{ULSCCAT.dotfull} "UnivariateLaurentSeriesConstructorCategory(a:Ring,b:UnivariateTaylorSeriesCategory(Ring))" [color=lightblue,href="bookvol10.2.pdf#nameddest=ULSCCAT"]; "UnivariateLaurentSeriesConstructorCategory(a:Ring,b:UnivariateTaylorSeriesCategory(Ring))" -> "UnivariateLaurentSeriesCategory(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{ULSCCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -71560,12 +71564,12 @@ "RADCAT..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{UnivariatePuiseuxSeriesConstructorCategory}{UPXSCCA} \pagepic{ps/v102univariatepuiseuxseriesconstructorcategory.ps}{UPXSCCA}{0.50} -<>= +\begin{chunk}{UnivariatePuiseuxSeriesConstructorCategory.input} )set break resume )sys rm -f UnivariatePuiseuxSeriesConstructorCategory.output )spool UnivariatePuiseuxSeriesConstructorCategory.output @@ -71711,8 +71715,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePuiseuxSeriesConstructorCategory.help} ==================================================================== UnivariatePuiseuxSeriesConstructorCategory examples ==================================================================== @@ -71720,7 +71724,7 @@ See Also: o )show UnivariatePuiseuxSeriesConstructorCategory -@ +\end{chunk} {\bf See:} \pagefrom{RetractableTo}{RETRACT} @@ -72056,7 +72060,7 @@ ?rem? : (%,%) -> % if Coef has FIELD \end{verbatim} -<>= +\begin{chunk}{category UPXSCCA UnivariatePuiseuxSeriesConstructorCategory} )abbrev category UPXSCCA UnivariatePuiseuxSeriesConstructorCategory ++ Author: Clifton J. Williamson ++ Date Created: 6 February 1990 @@ -72114,15 +72118,15 @@ retractIfCan(x:%):Union(ULS,"failed") == laurentIfCan x -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCCA.dotabb} "UPXSCCA" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPXSCCA"]; "UPXSCCA" -> "RETRACT" "UPXSCCA" -> "UPXSCAT" -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCCA.dotfull} "UnivariatePuiseuxSeriesConstructorCategory(a:Ring,b:UnivariateLaurentSeriesCategory(a))" [color=lightblue,href="bookvol10.2.pdf#nameddest=UPXSCCA"]; "UnivariatePuiseuxSeriesConstructorCategory(a:Ring,b:UnivariateLaurentSeriesCategory(a))" @@ -72130,8 +72134,8 @@ "UnivariatePuiseuxSeriesConstructorCategory(a:Ring,b:UnivariateLaurentSeriesCategory(a))" -> "UnivariatePuiseuxSeriesCategory(a:Ring)" -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCCA.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -72180,13 +72184,13 @@ "AMR..." [color=lightblue]; } -@ +\end{chunk} \chapter{Category Layer 18} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FiniteAlgebraicExtensionField}{FAXF} \pagepic{ps/v102finitealgebraicextensionfield.ps}{FAXF}{0.75} -<>= +\begin{chunk}{FiniteAlgebraicExtensionField.input} )set break resume )sys rm -f FiniteAlgebraicExtensionField.output )spool FiniteAlgebraicExtensionField.output @@ -72297,8 +72301,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteAlgebraicExtensionField.help} ==================================================================== FiniteAlgebraicExtensionField examples ==================================================================== @@ -72306,7 +72310,7 @@ See Also: o )show FiniteAlgebraicExtensionField -@ +\end{chunk} {\bf See:} \pagefrom{ExtensionField}{XF} @@ -72589,7 +72593,7 @@ \end{verbatim} -<>= +\begin{chunk}{category FAXF FiniteAlgebraicExtensionField} )abbrev category FAXF FiniteAlgebraicExtensionField ++ Author: J. Grabmeier, A. Scheerhorn ++ Date Created: 11 March 1991 @@ -72890,22 +72894,22 @@ deg:=deg+1 deg -@ -<>= +\end{chunk} +\begin{chunk}{FAXF.dotabb} "FAXF" [color=lightblue,href="bookvol10.2.pdf#nameddest=FAXF"]; "FAXF" -> "XF" "FAXF" -> "RETRACT" -@ -<>= +\end{chunk} +\begin{chunk}{FAXF.dotfull} "FiniteAlgebraicExtensionField(a:Field)" [color=lightblue,href="bookvol10.2.pdf#nameddest=FAXF"]; "FiniteAlgebraicExtensionField(a:Field)" -> "ExtensionField(a:Field)" "FiniteAlgebraicExtensionField(a:Field)" -> "RetractableTo(a:Field)" -@ -<>= +\end{chunk} +\begin{chunk}{FAXF.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -72950,12 +72954,12 @@ "Category" [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{MonogenicAlgebra}{MONOGEN} \pagepic{ps/v102monogenicalgebra.ps}{MONOGEN}{0.40} -<>= +\begin{chunk}{MonogenicAlgebra.input} )set break resume )sys rm -f MonogenicAlgebra.output )spool MonogenicAlgebra.output @@ -73090,8 +73094,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MonogenicAlgebra.help} ==================================================================== MonogenicAlgebra examples ==================================================================== @@ -73099,7 +73103,7 @@ See Also: o )show MonogenicAlgebra -@ +\end{chunk} {\bf See:} \pageto{FunctionFieldCategory}{FFCAT} @@ -73442,7 +73446,7 @@ if R has FFIELDC \end{verbatim} -<>= +\begin{chunk}{category MONOGEN MonogenicAlgebra} )abbrev category MONOGEN MonogenicAlgebra ++ Author: Barry Trager ++ Date Created: @@ -73518,8 +73522,8 @@ case "failed" => "failed" reduce(bc.coef1) -@ -<>= +\end{chunk} +\begin{chunk}{MONOGEN.dotabb} "MONOGEN" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONOGEN"]; "MONOGEN" -> "FRAMALG" @@ -73532,8 +73536,8 @@ "MONOGEN" -> "DIFEXT" "MONOGEN" -> "FFIELDC" -@ -<>= +\end{chunk} +\begin{chunk}{MONOGEN.dotfull} "MonogenicAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" [color=lightblue,href="bookvol10.2.pdf#nameddest=MONOGEN"]; "MonogenicAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" -> @@ -73552,8 +73556,8 @@ "MonogenicAlgebra(a:FRAC(UPOLYC(UFD)),b:UPOLYC(FRAC(UPOLYC(UFD))))" -> "MonogenicAlgebra(a:CommutativeRing,b:UnivariatePolynomialCategory(a))" -@ -<>= +\end{chunk} +\begin{chunk}{MONOGEN.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -73591,12 +73595,12 @@ "FFIELDC..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PseudoAlgebraicClosureOfRationalNumberCategory}{PACRATC} \pagepic{ps/v102pseudoalgebraicclosureofrationalnumbercategory.ps}{PACRATC}{0.50} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfRationalNumberCategory.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfRationalNumberCategory.output )spool PseudoAlgebraicClosureOfRationalNumberCategory.output @@ -73686,8 +73690,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfRationalNumberCategory.help} ==================================================================== PseudoAlgebraicClosureOfRationalNumberCategory examples ==================================================================== @@ -73695,7 +73699,7 @@ See Also: o )show PseudoAlgebraicClosureOfRationalNumberCategory -@ +\end{chunk} {\bf See:} @@ -73919,7 +73923,7 @@ transcendenceDegree : () -> NonNegativeInteger \end{verbatim} -<>= +\begin{chunk}{category PACRATC PseudoAlgebraicClosureOfRationalNumberCategory} )abbrev category PACRATC PseudoAlgebraicClosureOfRationalNumberCategory ++ Authors: Gaetan Hache ++ Date Created: feb 1997 @@ -73944,19 +73948,19 @@ CharacteristicZero,RetractableTo(Integer), RetractableTo(Fraction(Integer)),ExtensionField(Fraction(Integer))) -@ -<>= +\end{chunk} +\begin{chunk}{PACRATC.dotabb} "PACRATC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACRATC"]; "PACRATC" -> "XF" -@ -<>= +\end{chunk} +\begin{chunk}{PACRATC.dotfull} "PseudoAlgebraicClosureOfRationalNumberCategory" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACRATC"]; "PseudoAlgebraicClosureOfRationalNumberCategory" -> "ExtensionField(F:Field)" -@ -<>= +\end{chunk} +\begin{chunk}{PACRATC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -73969,13 +73973,13 @@ } -@ +\end{chunk} \chapter{Category Layer 19} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{ComplexCategory}{COMPCAT} \pagepic{ps/v102complexcategory.ps}{COMPCAT}{0.50} -<>= +\begin{chunk}{ComplexCategory.input} )set break resume )sys rm -f ComplexCategory.output )spool ComplexCategory.output @@ -74176,8 +74180,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ComplexCategory.help} ==================================================================== ComplexCategory examples ==================================================================== @@ -74185,7 +74189,7 @@ See Also: o )show ComplexCategory -@ +\end{chunk} {\bf See:} \pagefrom{CommutativeRing}{COMRING} @@ -74616,7 +74620,7 @@ Factored SparseUnivariatePolynomial % if R has EUCDOM and R has PFECAT \end{verbatim} -<>= +\begin{chunk}{category COMPCAT ComplexCategory} )abbrev category COMPCAT ComplexCategory ++ Author: ++ Date Created: @@ -75052,8 +75056,8 @@ norm(x) ** (q / (2::Fraction(Integer))) complex(e * cos t, e * sin t) -@ -<>= +\end{chunk} +\begin{chunk}{COMPCAT.dotabb} "COMPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMPCAT"]; "COMPCAT" -> "COMRING" @@ -75066,8 +75070,8 @@ "COMPCAT" -> "FLINEXP" "COMPCAT" -> "ORDSET" -@ -<>= +\end{chunk} +\begin{chunk}{COMPCAT.dotfull} "ComplexCategory(R:CommutativeRing)" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMPCAT"]; "ComplexCategory(R:CommutativeRing)" -> @@ -75089,8 +75093,8 @@ "ComplexCategory(R:CommutativeRing)" -> "OrderedSet()" -@ -<>= +\end{chunk} +\begin{chunk}{COMPCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -75118,12 +75122,12 @@ "ORDSET..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{FunctionFieldCategory}{FFCAT} \pagepic{ps/v102functionfieldcategory.ps}{FFCAT}{0.70} -<>= +\begin{chunk}{FunctionFieldCategory.input} )set break resume )sys rm -f FunctionFieldCategory.output )spool FunctionFieldCategory.output @@ -75292,8 +75296,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FunctionFieldCategory.help} ==================================================================== FunctionFieldCategory examples ==================================================================== @@ -75301,7 +75305,7 @@ See Also: o )show FunctionFieldCategory -@ +\end{chunk} {\bf See:} \pagefrom{MonogenicAlgebra}{MONOGEN} @@ -75816,7 +75820,7 @@ ?rem? : (%,%) -> % if Fraction UP has FIELD \end{verbatim} -<>= +\begin{chunk}{category FFCAT FunctionFieldCategory} )abbrev category FFCAT FunctionFieldCategory ++ Function field of a curve ++ Author: Manuel Bronstein @@ -76232,21 +76236,21 @@ differentiate(f:$, d:UP -> UP) == differentiate(f, x +-> differentiate(x, d)$RF) -@ -<>= +\end{chunk} +\begin{chunk}{FFCAT.dotabb} "FFCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=FFCAT"]; "FFCAT" -> "MONOGEN" -@ -<>= +\end{chunk} +\begin{chunk}{FFCAT.dotfull} "FunctionFieldCategory(a:UFD,b:UPOLYC(a),c:UPOLYC(Fraction(b)))" [color=lightblue,href="bookvol10.2.pdf#nameddest=FFCAT"]; "FunctionFieldCategory(a:UFD,b:UPOLYC(a),c:UPOLYC(Fraction(b)))" -> "MonogenicAlgebra(a:FRAC(UPOLYC(UFD)),b:UPOLYC(FRAC(UPOLYC(UFD))))" -@ -<>= +\end{chunk} +\begin{chunk}{FFCAT.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -76282,12 +76286,12 @@ "FLINEXP..." [color=lightblue]; } -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory}{PACEXTC} \pagepic{ps/v102pseudoalgebraicclosureofalgextofrationalnumbercategory.ps}{PACEXTC}{0.50} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory.output )spool PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory.output @@ -76385,8 +76389,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory.help} ==================================================================== PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory examples ==================================================================== @@ -76394,7 +76398,7 @@ See Also: o )show PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory -@ +\end{chunk} {\bf See:} @@ -76630,7 +76634,7 @@ primeFrobenius : (%,NonNegativeInteger) -> % if PseudoAlgebraicClosureOfRationalNumber has CHARNZ or PseudoAlgebraicClosureOfRationalNumber has FINITE or Fraction Integer has CHARNZ or Fraction Integer has FINITE \end{verbatim} -<>= +\begin{chunk}{category PACEXTC PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory} )abbrev category PACEXTC PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory ++ Authors: Gaetan Hache ++ Date Created: jan 1998 @@ -76655,15 +76659,15 @@ Impl ==> Join(PseudoAlgebraicClosureOfRationalNumberCategory,_ RetractableTo(Q),ExtensionField(Q)) -@ -<>= +\end{chunk} +\begin{chunk}{PACEXTC.dotabb} "PACEXTC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACEXTC"]; "PACEXTC" -> "PACRATC" "PACEXTC" -> "RETRACT" "PACEXTC" -> "XF" -@ -<>= +\end{chunk} +\begin{chunk}{PACEXTC.dotfull} "PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACEXTC"]; -> "PseudoAlgebraicClosureOfRationalNumberCategory" @@ -76690,8 +76694,8 @@ "ExtensionField(a:Field)" [color=lightblue,href="bookvol10.2.pdf#nameddest=XF"]; -@ -<>= +\end{chunk} +\begin{chunk}{PACEXTC.dotpic} digraph pic { fontsize=10; bgcolor="#FFFF66"; @@ -76720,7 +76724,7 @@ } -@ +\end{chunk} \chapter{The bootstrap code} \section{ABELGRP.lsp BOOTSTRAP} @@ -76733,7 +76737,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ABELGRP.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -76764,9 +76768,9 @@ |AbelianGroup|) (SETELT #1# 0 (QUOTE (|AbelianGroup|))))))) -(MAKEPROP (QUOTE |AbelianGroup|) (QUOTE NILADIC) T) +(setf (get (quote |AbelianGroup|) (quote niladic)) t) -@ +\end{chunk} \section{ABELGRP-.lsp BOOTSTRAP} {\bf ABELGRP-} depends on a chain of files. We need to break this cycle to build @@ -76777,7 +76781,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ABELGRP-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -76803,7 +76807,7 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|AbelianGroup&|)) (LETT |dv$| (LIST (QUOTE |AbelianGroup&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 22) . #1#) + (LETT |$| (make-array 22) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -76815,9 +76819,9 @@ (CONS (|dispatchFunction| |ABELGRP-;*;I2S;4|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |AbelianGroup&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -76851,7 +76855,7 @@ 0 0 13 0 21 2 0 0 15 0 16)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{ABELMON.lsp BOOTSTRAP} {\bf ABELMON} which needs {\bf ABELSG} which needs @@ -76874,7 +76878,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ABELMON.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -76906,9 +76910,9 @@ |AbelianMonoid|) (SETELT #1# 0 (QUOTE (|AbelianMonoid|))))))) -(MAKEPROP (QUOTE |AbelianMonoid|) (QUOTE NILADIC) T) +(setf (get (QUOTE |AbelianMonoid|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{ABELMON-.lsp BOOTSTRAP} {\bf ABELMON-} which needs {\bf ABELSG} which needs @@ -76931,7 +76935,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ABELMON-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -76955,7 +76959,7 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|AbelianMonoid&|)) (LETT |dv$| (LIST (QUOTE |AbelianMonoid&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 19) . #1#) + (LETT |$| (make-array 19) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -76966,9 +76970,9 @@ (QSETREFV |$| 18 (CONS (|dispatchFunction| |ABELMON-;*;Nni2S;4|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |AbelianMonoid&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -76998,7 +77002,7 @@ 0 18 1 0 8 0 10 0 0 0 15 2 0 0 11 0 18 2 0 0 13 0 14)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{ABELSG.lsp BOOTSTRAP} {\bf ABELSG} needs {\bf SETCAT} which needs @@ -77021,7 +77025,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ABELSG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77051,8 +77055,8 @@ |AbelianSemiGroup|) (SETELT #1# 0 (QUOTE (|AbelianSemiGroup|))))))) -(MAKEPROP (QUOTE |AbelianSemiGroup|) (QUOTE NILADIC) T) -@ +(setf (get (QUOTE |AbelianSemiGroup|) (QUOTE NILADIC)) T) +\end{chunk} \section{ABELSG-.lsp BOOTSTRAP} {\bf ABELSG-} needs {\bf SETCAT} which needs @@ -77075,7 +77079,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ABELSG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77087,7 +77091,7 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|AbelianSemiGroup&|)) (LETT |dv$| (LIST (QUOTE |AbelianSemiGroup&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 11) . #1#) + (LETT |$| (make-array 11) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -77099,9 +77103,9 @@ (CONS (|dispatchFunction| |ABELSG-;*;Pi2S;1|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |AbelianSemiGroup&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -77121,7 +77125,7 @@ (|makeByteWordVec2| 10 (QUOTE (2 8 6 7 6 9 2 0 0 7 0 10 2 0 0 7 0 10)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{ALAGG.lsp BOOTSTRAP} {\bf ALAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ALAGG} @@ -77131,7 +77135,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ALAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77189,7 +77193,7 @@ (QUOTE |AssociationListAggregate|) (|devaluate| |t#1|) (|devaluate| |t#2|))))))) -@ +\end{chunk} \section{CABMON.lsp BOOTSTRAP} {\bf CABMON} which needs {\bf ABELMON} which needs @@ -77212,7 +77216,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{CABMON.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77244,9 +77248,9 @@ |CancellationAbelianMonoid|) (SETELT #1# 0 (QUOTE (|CancellationAbelianMonoid|))))))) -(MAKEPROP (QUOTE |CancellationAbelianMonoid|) (QUOTE NILADIC) T) +(setf (get (QUOTE |CancellationAbelianMonoid|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{CLAGG.lsp BOOTSTRAP} {\bf CLAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf CLAGG} @@ -77256,7 +77260,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{CLAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77323,7 +77327,7 @@ . #2=(|Collection|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |Collection|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{CLAGG-.lsp BOOTSTRAP} {\bf CLAGG-} depends on {\bf CLAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf CLAGG-} @@ -77333,7 +77337,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{CLAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77477,7 +77481,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|Collection&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |Collection&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 37) . #1#) + (LETT |$| (make-array 37) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -77514,9 +77518,9 @@ |$|)))))))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |Collection&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|List| 7) (0 . |parts|) (|NonNegativeInteger|) (5 . |#|) (|Mapping| 14 7) @@ -77546,7 +77550,7 @@ 3 0 7 20 0 7 24 2 0 7 20 0 22 2 0 17 12 0 19 2 0 14 12 0 16 2 0 10 12 0 13 2 0 14 12 0 15 1 0 10 0 11)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{COMRING.lsp BOOTSTRAP} {\bf COMRING} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf COMRING} @@ -77556,7 +77560,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{COMRING.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77585,9 +77589,9 @@ |CommutativeRing|) (SETELT #1# 0 (QUOTE (|CommutativeRing|))))))) -(MAKEPROP (QUOTE |CommutativeRing|) (QUOTE NILADIC) T) +(setf (get (QUOTE |CommutativeRing|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{DIFRING.lsp BOOTSTRAP} {\bf DIFRING} needs {\bf INT} which needs {\bf DIFRING}. We need to break this cycle to build the algebra. So we keep a @@ -77598,7 +77602,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{DIFRING.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77630,9 +77634,9 @@ |DifferentialRing|) (SETELT #1# 0 (QUOTE (|DifferentialRing|))))))) -(MAKEPROP (QUOTE |DifferentialRing|) (QUOTE NILADIC) T) +(setf (get (QUOTE |DifferentialRing|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{DIFRING-.lsp BOOTSTRAP} {\bf DIFRING-} needs {\bf DIFRING}. We need to break this cycle to build the algebra. So we keep a @@ -77643,7 +77647,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{DIFRING-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77678,16 +77682,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|DifferentialRing&|)) (LETT |dv$| (LIST (QUOTE |DifferentialRing&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 13) . #1#) + (LETT |$| (make-array 13) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |DifferentialRing&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -77711,7 +77715,7 @@ (1 6 0 0 7 2 6 0 0 9 11 2 0 0 0 9 10 2 0 0 0 9 12 1 0 0 0 8)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{DIVRING.lsp BOOTSTRAP} {\bf DIVRING} depends on {\bf QFCAT} which eventually depends on {\bf DIVRING}. We need to break this cycle to build @@ -77722,7 +77726,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{DIVRING.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77758,9 +77762,9 @@ |DivisionRing|) (SETELT #1# 0 (QUOTE (|DivisionRing|))))))) -(MAKEPROP (QUOTE |DivisionRing|) (QUOTE NILADIC) T) +(setf (get (QUOTE |DivisionRing|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{DIVRING-.lsp BOOTSTRAP} {\bf DIVRING-} depends on {\bf DIVRING}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf DIVRING-} @@ -77770,7 +77774,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{DIVRING-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77805,16 +77809,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|DivisionRing&|)) (LETT |dv$| (LIST (QUOTE |DivisionRing&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 27) . #1#) + (LETT |$| (make-array 27) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |DivisionRing&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -77854,7 +77858,7 @@ 0 0 0 24 2 0 0 0 7 9 2 0 0 0 7 18 2 0 0 19 0 25)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{ES.lsp BOOTSTRAP} {\bf ES} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ES} @@ -77864,7 +77868,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ES.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -77965,8 +77969,8 @@ |ExpressionSpace|) (SETELT #1# 0 (QUOTE (|ExpressionSpace|))))))) -(MAKEPROP (QUOTE |ExpressionSpace|) (QUOTE NILADIC) T) -@ +(setf (get (QUOTE |ExpressionSpace|) (QUOTE NILADIC)) T) +\end{chunk} \section{ES-.lsp BOOTSTRAP} {\bf ES-} depends on {\bf ES}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ES-} @@ -77976,7 +77980,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ES-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -78641,7 +78645,7 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|ExpressionSpace&|)) (LETT |dv$| (LIST (QUOTE |ExpressionSpace&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 131) . #1#) + (LETT |$| (make-array 131) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -78662,9 +78666,9 @@ (QSETREFV |$| 128 (CONS (|dispatchFunction| |ES-;odd?;SB;44|) |$|))))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |ExpressionSpace&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #( NIL NIL NIL NIL NIL NIL (|local| |#1|) (|String|) (|Symbol|) @@ -78740,7 +78744,7 @@ 0 0 10 0 61 2 0 0 0 0 116 1 0 0 0 51 1 0 0 15 53 1 0 0 0 17 1 0 20 10 22)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{EUCDOM.lsp BOOTSTRAP} {\bf EUCDOM} depends on {\bf INT} which depends on {\bf EUCDOM}. We need to break this cycle to build @@ -78758,10 +78762,10 @@ we did not load algebra code from a previous system version (which would not run due to major surgical changes in the system) without recompiling. -<>= +\begin{chunk}{EUCDOM;VersionCheck} (|/VERSIONCHECK| 2) -@ +\end{chunk} \subsubsection{The Domain Cache Variable} We create a variable which is formed by concatenating the string ``{\bf ;AL}'' to the domain name forming, in this case, @@ -78770,10 +78774,10 @@ a data structure that will be modified to hold an executable function. This function is created the first time the domain is used which it replaces the {\bf NIL}. -<>= +\begin{chunk}{EuclideanDomain;AL} (SETQ |EuclideanDomain;AL| (QUOTE NIL)) -@ +\end{chunk} \subsubsection{The Domain Function} When you call a domain the code is pretty simple at the top level. This code will check to see if this domain has ever been @@ -78799,16 +78803,16 @@ Thus the work of building the domain only happens once. If this function has never been called before we call the -<>= +\begin{chunk}{EuclideanDomain} (DEFUN |EuclideanDomain| NIL (LET (#:G83585) (COND (|EuclideanDomain;AL|) (T (SETQ |EuclideanDomain;AL| (|EuclideanDomain;|)))))) -@ +\end{chunk} \subsubsection{The First Call Domain Function} -<>= +\begin{chunk}{EuclideanDomain;} (DEFUN |EuclideanDomain;| NIL (PROG (#1=#:G83583) (RETURN @@ -78850,19 +78854,19 @@ |EuclideanDomain|) (SETELT #1# 0 (QUOTE (|EuclideanDomain|))))))) -@ -\subsubsection{EUCDOM;MAKEPROP} -<>= -(MAKEPROP (QUOTE |EuclideanDomain|) (QUOTE NILADIC) T) - -@ -<>= -<> -<> -<> -<> -<> -@ +\end{chunk} +\subsubsection{EUCDOM;NILADIC} +\begin{chunk}{EUCDOM;NILADIC} +(setf (get (QUOTE |EuclideanDomain|) (QUOTE NILADIC)) T) + +\end{chunk} +\begin{chunk}{EUCDOM.lsp BOOTSTRAP} +\getchunk{EUCDOM;VersionCheck} +\getchunk{EuclideanDomain;AL} +\getchunk{EuclideanDomain} +\getchunk{EuclideanDomain;} +\getchunk{EUCDOM;NILADIC} +\end{chunk} \section{EUCDOM-.lsp BOOTSTRAP} {\bf EUCDOM-} depends on {\bf EUCDOM}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf EUCDOM-} @@ -78879,12 +78883,12 @@ we did not load algebra code from a previous system version (which would not run due to major surgical changes in the system) without recompiling. -<>= +\begin{chunk}{EUCDOM-;VersionCheck} (|/VERSIONCHECK| 2) -@ +\end{chunk} \subsubsection{EUCDOM-;sizeLess?;2SB;1} -<>= +\begin{chunk}{EUCDOM-;sizeLess?;2SB;1} (DEFUN |EUCDOM-;sizeLess?;2SB;1| (|x| |y| $) (COND ((SPADCALL |y| (QREFELT $ 8)) (QUOTE NIL)) @@ -78892,22 +78896,22 @@ ((QUOTE T) (< (SPADCALL |x| (QREFELT $ 10)) (SPADCALL |y| (QREFELT $ 10)))))) -@ +\end{chunk} \subsubsection{EUCDOM-;quo;3S;2} -<>= +\begin{chunk}{EUCDOM-;quo;3S;2} (DEFUN |EUCDOM-;quo;3S;2| (|x| |y| $) (QCAR (SPADCALL |x| |y| (QREFELT $ 13)))) -@ +\end{chunk} \subsubsection{EUCDOM-;rem;3S;3} -<>= +\begin{chunk}{EUCDOM-;rem;3S;3} (DEFUN |EUCDOM-;rem;3S;3| (|x| |y| $) (QCDR (SPADCALL |x| |y| (QREFELT $ 13)))) -@ +\end{chunk} \subsubsection{EUCDOM-;exquo;2SU;4} -<>= +\begin{chunk}{EUCDOM-;exquo;2SU;4} (DEFUN |EUCDOM-;exquo;2SU;4| (|x| |y| $) (PROG (|qr|) (RETURN @@ -78925,9 +78929,9 @@ ((SPADCALL (QCDR |qr|) (QREFELT $ 8)) (CONS 0 (QCAR |qr|))) ((QUOTE T) (CONS 1 "failed"))))))))))) -@ +\end{chunk} \subsubsection{EUCDOM-;gcd;3S;5} -<>= +\begin{chunk}{EUCDOM-;gcd;3S;5} (DEFUN |EUCDOM-;gcd;3S;5| (|x| |y| $) (PROG (|#G13| |#G14|) (RETURN @@ -78955,9 +78959,9 @@ (EXIT NIL)) (EXIT |x|))))) -@ +\end{chunk} \subsubsection{EUCDOM-;unitNormalizeIdealElt} -<>= +\begin{chunk}{EUCDOM-;unitNormalizeIdealElt} (DEFUN |EUCDOM-;unitNormalizeIdealElt| (|s| $) (PROG (|#G16| |u| |c| |a|) (RETURN @@ -78979,9 +78983,9 @@ (SPADCALL |a| (QVELT |s| 1) (QREFELT $ 26)) |c|)))))))) -@ +\end{chunk} \subsubsection{EUCDOM-;extendedEuclidean;2SR;7} -<>= +\begin{chunk}{EUCDOM-;extendedEuclidean;2SR;7} (DEFUN |EUCDOM-;extendedEuclidean;2SR;7| (|x| |y| $) (PROG (|s3| |s2| |qr| |s1|) (RETURN @@ -79051,9 +79055,9 @@ |EUCDOM-;extendedEuclidean;2SR;7|))))))) (EXIT |s1|))))))))) -@ +\end{chunk} \subsubsection{EUCDOM-;extendedEuclidean;3SU;8} -<>= +\begin{chunk}{EUCDOM-;extendedEuclidean;3SU;8} (DEFUN |EUCDOM-;extendedEuclidean;3SU;8| (|x| |y| |z| $) (PROG (|s| |w| |qr|) (RETURN @@ -79092,9 +79096,9 @@ (SPADCALL (QCAR |qr|) |x| (QREFELT $ 26)) (QREFELT $ 29)))))))))))))))) -@ +\end{chunk} \subsubsection{EUCDOM-;principalIdeal;LR;9} -<>= +\begin{chunk}{EUCDOM-;principalIdeal;LR;9} (DEFUN |EUCDOM-;principalIdeal;LR;9| (|l| $) (PROG (|uca| |v| |u| #0=#:G1497 |vv| #1=#:G1498) (RETURN @@ -79150,9 +79154,9 @@ (EXIT (NREVERSE0 #0#))))) (QVELT |u| 2)))))))))) -@ +\end{chunk} \subsubsection{EUCDOM-;expressIdealMember;LSU;10} -<>= +\begin{chunk}{EUCDOM-;expressIdealMember;LSU;10} (DEFUN |EUCDOM-;expressIdealMember;LSU;10| (|l| |z| $) (PROG (#0=#:G1513 #1=#:G1514 |pid| |q| #2=#:G1515 |v| #3=#:G1516) (RETURN @@ -79216,9 +79220,9 @@ G191 (EXIT (NREVERSE0 #2#))))))))))))))) -@ +\end{chunk} \subsubsection{EUCDOM-;multiEuclidean;LSU;11} -<>= +\begin{chunk}{EUCDOM-;multiEuclidean;LSU;11} (DEFUN |EUCDOM-;multiEuclidean;LSU;11| (|l| |z| $) (PROG (|n| |l1| |l2| #0=#:G1405 #1=#:G1535 #2=#:G1522 #3=#:G1520 #4=#:G1521 #5=#:G1406 #6=#:G1536 #7=#:G1525 #8=#:G1523 #9=#:G1524 @@ -79327,28 +79331,28 @@ (QCDR |v2|) (QREFELT $ 51)))))))))))))))))))))) -@ +\end{chunk} \subsubsection{EuclideanDomain\&} -<>= +\begin{chunk}{EuclideanDomainAmp} (DEFUN |EuclideanDomain&| (|#1|) (PROG (DV$1 |dv$| $ |pv$|) (RETURN (PROGN (LETT DV$1 (|devaluate| |#1|) . #0=(|EuclideanDomain&|)) (LETT |dv$| (LIST (QUOTE |EuclideanDomain&|) DV$1) . #0#) - (LETT $ (GETREFV 53) . #0#) + (LETT $ (make-array 53) . #0#) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) (|stuffDomainSlots| $) (QSETREFV $ 6 |#1|) $)))) -@ -\subsubsection{EUCDOM-;MAKEPROP} -<>= -(MAKEPROP +\end{chunk} +\subsubsection{EUCDOM-;INFOVEC} +\begin{chunk}{EUCDOM-;INFOVEC} +(setf (get (QUOTE |EuclideanDomain&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|Boolean|) (0 . |zero?|) (|NonNegativeInteger|) (5 . |euclideanSize|) |EUCDOM-;sizeLess?;2SB;1| @@ -79387,24 +79391,24 @@ 30 0 0 31 2 0 17 0 0 18 2 0 44 41 0 45)))))) (QUOTE |lookupComplete|))) -@ -<>= +\end{chunk} +\begin{chunk}{EUCDOM-.lsp BOOTSTRAP} -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -@ +\getchunk{EUCDOM-;VersionCheck} +\getchunk{EUCDOM-;sizeLess?;2SB;1} +\getchunk{EUCDOM-;quo;3S;2} +\getchunk{EUCDOM-;rem;3S;3} +\getchunk{EUCDOM-;exquo;2SU;4} +\getchunk{EUCDOM-;gcd;3S;5} +\getchunk{EUCDOM-;unitNormalizeIdealElt} +\getchunk{EUCDOM-;extendedEuclidean;2SR;7} +\getchunk{EUCDOM-;extendedEuclidean;3SU;8} +\getchunk{EUCDOM-;principalIdeal;LR;9} +\getchunk{EUCDOM-;expressIdealMember;LSU;10} +\getchunk{EUCDOM-;multiEuclidean;LSU;11} +\getchunk{EuclideanDomainAmp} +\getchunk{EUCDOM-;INFOVEC} +\end{chunk} \section{ENTIRER.lsp BOOTSTRAP} {\bf ENTIRER} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ENTIRER} @@ -79414,7 +79418,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ENTIRER.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -79443,9 +79447,9 @@ |EntireRing|) (SETELT #1# 0 (QUOTE (|EntireRing|))))))) -(MAKEPROP (QUOTE |EntireRing|) (QUOTE NILADIC) T) +(setf (get (QUOTE |EntireRing|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{FFIELDC.lsp BOOTSTRAP} {\bf FFIELDC} depends on a chain of files. We need to break this cycle to build @@ -79456,7 +79460,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{FFIELDC.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -79512,9 +79516,9 @@ |FiniteFieldCategory|) (SETELT #1# 0 (QUOTE (|FiniteFieldCategory|))))))) -(MAKEPROP (QUOTE |FiniteFieldCategory|) (QUOTE NILADIC) T) +(setf (get (QUOTE |FiniteFieldCategory|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{FFIELDC-.lsp BOOTSTRAP} {\bf FFIELDC-} depends on {\bf FFIELDC}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf @@ -79525,7 +79529,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{FFIELDC-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80010,15 +80014,15 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|FiniteFieldCategory&|)) (LETT |dv$| (LIST (QUOTE |FiniteFieldCategory&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 93) . #1#) + (LETT |$| (make-array 93) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |FiniteFieldCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (0 . |Zero|) @@ -80078,7 +80082,7 @@ 19 0 21 1 0 15 0 16 0 0 0 9 2 0 91 91 91 92 1 0 34 0 60 2 0 57 0 0 71 1 0 0 0 8 0 0 0 44 1 0 31 32 33 1 0 0 0 38 1 0 15 0 39)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{FPS.lsp BOOTSTRAP} {\bf FPS} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a @@ -80089,7 +80093,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{FPS.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80144,9 +80148,9 @@ |FloatingPointSystem|) (SETELT #1# 0 (QUOTE (|FloatingPointSystem|))))))) -(MAKEPROP (QUOTE |FloatingPointSystem|) (QUOTE NILADIC) T) +(setf (get (QUOTE |FloatingPointSystem|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{FPS-.lsp BOOTSTRAP} {\bf FPS-} depends {\bf FPS}. We need to break this cycle to build the algebra. So we keep a @@ -80157,7 +80161,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{FPS-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80184,7 +80188,7 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|FloatingPointSystem&|)) (LETT |dv$| (LIST (QUOTE |FloatingPointSystem&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 17) . #1#) + (LETT |$| (make-array 17) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -80196,9 +80200,9 @@ (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |FloatingPointSystem&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -80227,7 +80231,7 @@ 2 0 0 9 9 11 0 0 7 16)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{GCDDOM.lsp BOOTSTRAP} {\bf GCDDOM} needs {\bf COMRING} which needs @@ -80250,7 +80254,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{GCDDOM.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80287,9 +80291,9 @@ |GcdDomain|) (SETELT #1# 0 (QUOTE (|GcdDomain|))))))) -(MAKEPROP (QUOTE |GcdDomain|) (QUOTE NILADIC) T) +(setf (get (QUOTE |GcdDomain|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{GCDDOM-.lsp BOOTSTRAP} {\bf GCDDOM-} depends on {\bf GCDDOM}. We break this chain with {\bf GCDDOM-.lsp} which we @@ -80301,7 +80305,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{GCDDOM-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80490,16 +80494,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|GcdDomain&|)) (LETT |dv$| (LIST (QUOTE |GcdDomain&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 42) . #1#) + (LETT |$| (make-array 42) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |GcdDomain&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -80557,7 +80561,7 @@ 0 20 22)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{HOAGG.lsp BOOTSTRAP} {\bf HOAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf HOAGG} @@ -80567,7 +80571,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{HOAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80643,7 +80647,7 @@ (SETELT #1# 0 (LIST (QUOTE |HomogeneousAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{HOAGG-.lsp BOOTSTRAP} {\bf HOAGG-} depends on {\bf HOAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf HOAGG-} @@ -80653,7 +80657,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{HOAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -80864,7 +80868,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|HomogeneousAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |HomogeneousAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 38) . #1#) + (LETT |$| (make-array 38) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -80902,9 +80906,9 @@ (CONS (|dispatchFunction| |HOAGG-;coerce;AOf;10|) |$|)))))))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |HomogeneousAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|List| 37) (0 . |eval|) (|Mapping| 7 7) (6 . |map|) (12 . |eval|) (|List| 7) @@ -80932,14 +80936,14 @@ 0 0 8 12 2 0 15 7 0 25 2 0 15 18 0 21 1 0 31 0 36 2 0 17 18 0 19 2 0 17 0 0 30 1 0 15 0 16)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{INS.lsp BOOTSTRAP} {\bf INS} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf INS} category which we can write into the {\bf MID} directory. We compile the lisp code and copy the {\bf INS.o} file to the {\bf OUT} directory. This is eventually forcibly replaced by a recompiled version. -<>= +\begin{chunk}{INS.lsp BOOTSTRAP} (/VERSIONCHECK 2) @@ -81013,16 +81017,16 @@ |IntegerNumberSystem|) (SETELT #0# 0 (QUOTE (|IntegerNumberSystem|))))))) -(MAKEPROP (QUOTE |IntegerNumberSystem|) (QUOTE NILADIC) T) +(setf (get (QUOTE |IntegerNumberSystem|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{INS-.lsp BOOTSTRAP} {\bf INS-} depends on {\bf INS}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf INS-} category which we can write into the {\bf MID} directory. We compile the lisp code and copy the {\bf INS-.o} file to the {\bf OUT} directory. This is eventually forcibly replaced by a recompiled version. -<>= +\begin{chunk}{INS-.lsp BOOTSTRAP} (/VERSIONCHECK 2) @@ -81291,16 +81295,16 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) . #0=(|IntegerNumberSystem&|)) (LETT |dv$| (LIST (QUOTE |IntegerNumberSystem&|) DV$1) . #0#) - (LETT $ (GETREFV 87) . #0#) + (LETT $ (make-array 87) . #0#) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) (|stuffDomainSlots| $) (QSETREFV $ 6 |#1|) $)))) -(MAKEPROP +(setf (get (QUOTE |IntegerNumberSystem&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -81417,7 +81421,7 @@ 0 0 54)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{INTDOM.lsp BOOTSTRAP} {\bf INTDOM} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf INTDOM} @@ -81427,7 +81431,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{INTDOM.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -81466,9 +81470,9 @@ |IntegralDomain|) (SETELT #1# 0 (QUOTE (|IntegralDomain|))))))) -(MAKEPROP (QUOTE |IntegralDomain|) (QUOTE NILADIC) T) +(setf (get (QUOTE |IntegralDomain|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{INTDOM-.lsp BOOTSTRAP} {\bf INTDOM-} depends on {\bf INTDOM}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf INTDOM-} @@ -81478,7 +81482,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{INTDOM-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -81521,7 +81525,7 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|IntegralDomain&|)) (LETT |dv$| (LIST (QUOTE |IntegralDomain&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 21) . #1#) + (LETT |$| (make-array 21) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -81540,9 +81544,9 @@ (CONS (|dispatchFunction| |INTDOM-;associates?;2SB;6|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |IntegralDomain&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -81581,7 +81585,7 @@ 18 1 0 14 0 16 2 0 12 0 0 20)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{LNAGG.lsp BOOTSTRAP} {\bf LNAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf LNAGG} @@ -81591,7 +81595,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{LNAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -81652,7 +81656,7 @@ . #3=(|LinearAggregate|)))))) . #3#) (SETELT #1# 0 (LIST (QUOTE |LinearAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{LNAGG-.lsp BOOTSTRAP} {\bf LNAGG-} depends on {\bf LNAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf LNAGG-} @@ -81662,7 +81666,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{LNAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -81710,7 +81714,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|LinearAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |LinearAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 25) . #1#) + (LETT |$| (make-array 25) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -81726,9 +81730,9 @@ (CONS (|dispatchFunction| |LNAGG-;maxIndex;AI;6|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |LinearAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|Integer|) (0 . |minIndex|) (5 . |maxIndex|) (|List| 8) |LNAGG-;indices;AL;1| @@ -81748,7 +81752,7 @@ 16 2 6 0 0 0 17 3 6 0 0 0 8 20 1 6 15 0 22 1 0 8 0 23 1 0 8 0 23 3 0 0 7 0 8 21 1 0 11 0 12 2 0 13 8 0 14 2 0 0 0 7 18 2 0 0 7 0 19)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{LSAGG.lsp BOOTSTRAP} {\bf LSAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf LSAGG} @@ -81758,7 +81762,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{LSAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -81801,7 +81805,7 @@ . #2=(|ListAggregate|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |ListAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{LSAGG-.lsp BOOTSTRAP} {\bf LSAGG-} depends on {\bf LSAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf LSAGG-} @@ -81811,7 +81815,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{LSAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -82594,7 +82598,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|ListAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |ListAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 66) . #1#) + (LETT |$| (make-array 66) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -82616,9 +82620,9 @@ (QSETREFV |$| 64 (CONS (|dispatchFunction| |LSAGG-;<;2AB;25|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |ListAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|NonNegativeInteger|) (0 . |#|) (|Mapping| 15 7 7) |LSAGG-;sort!;M2A;1| @@ -82663,7 +82667,7 @@ 35 2 0 44 26 0 45 2 0 0 0 38 43 2 0 0 0 30 37 3 0 0 0 0 30 59 1 0 0 0 57 2 0 15 0 0 64)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{MONOID.lsp BOOTSTRAP} {\bf MONOID} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf MONOID} @@ -82673,7 +82677,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{MONOID.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -82707,9 +82711,9 @@ |Monoid|) (SETELT #1# 0 (QUOTE (|Monoid|))))))) -(MAKEPROP (QUOTE |Monoid|) (QUOTE NILADIC) T) +(setf (get (QUOTE |Monoid|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{MONOID-.lsp BOOTSTRAP} {\bf MONOID-} depends on {\bf MONOID}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf MONOID-} @@ -82719,7 +82723,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{MONOID-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -82748,16 +82752,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|Monoid&|)) (LETT |dv$| (LIST (QUOTE |Monoid&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 22) . #1#) + (LETT |$| (make-array 22) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |Monoid&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -82791,7 +82795,7 @@ 0 0 0 14 1 0 16 0 17 1 0 11 0 13 2 0 0 0 7 9 2 0 0 0 7 21)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{MTSCAT.lsp BOOTSTRAP} {\bf MTSCAT} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf MTSCAT} @@ -82801,7 +82805,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{MTSCAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -82889,7 +82893,7 @@ (QUOTE |MultivariateTaylorSeriesCategory|) (|devaluate| |t#1|) (|devaluate| |t#2|))))))) -@ +\end{chunk} \section{OINTDOM.lsp BOOTSTRAP} {\bf OINTDOM} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf OINTDOM} @@ -82899,7 +82903,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{OINTDOM.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -82919,9 +82923,9 @@ (|Join| (|IntegralDomain|) (|OrderedRing|)) |OrderedIntegralDomain|) (SETELT #1# 0 (QUOTE (|OrderedIntegralDomain|))))))) -(MAKEPROP (QUOTE |OrderedIntegralDomain|) (QUOTE NILADIC) T) +(setf (get (QUOTE |OrderedIntegralDomain|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{ORDRING.lsp BOOTSTRAP} {\bf ORDRING} depends on {\bf INT}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ORDRING} @@ -82936,7 +82940,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ORDRING.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -82970,9 +82974,9 @@ |OrderedRing|) (SETELT #1# 0 (QUOTE (|OrderedRing|))))))) -(MAKEPROP (QUOTE |OrderedRing|) (QUOTE NILADIC) T) +(setf (get (QUOTE |OrderedRing|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{ORDRING-.lsp BOOTSTRAP} {\bf ORDRING-} depends on {\bf ORDRING}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ORDRING-} @@ -82982,7 +82986,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ORDRING-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -83014,16 +83018,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|OrderedRing&|)) (LETT |dv$| (LIST (QUOTE |OrderedRing&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 20) . #1#) + (LETT |$| (make-array 20) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |OrderedRing&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -83054,7 +83058,7 @@ (0 6 0 7 2 6 8 0 0 9 1 6 8 0 12 1 6 8 0 13 0 6 0 14 1 6 8 0 15 1 6 0 0 18 1 0 16 0 17 1 0 8 0 10 1 0 8 0 11 1 0 0 0 19)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{POLYCAT.lsp BOOTSTRAP} {\bf POLYCAT} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf POLYCAT} @@ -83064,7 +83068,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{POLYCAT.lsp BOOTSTRAP} (/VERSIONCHECK 2) @@ -83186,7 +83190,7 @@ (LIST (QUOTE |PolynomialCategory|) (|devaluate| |t#1|) (|devaluate| |t#2|) (|devaluate| |t#3|))))))) -@ +\end{chunk} \section{POLYCAT-.lsp BOOTSTRAP} {\bf POLYCAT-} depends on {\bf POLYCAT}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf POLYCAT-} @@ -83196,7 +83200,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{POLYCAT-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -84118,7 +84122,7 @@ (CONS 0 (PRIMVEC2ARR (PROGN - (LETT #15# (GETREFV (SIZE |monslist|)) + (LETT #15# (make-array (SIZE |monslist|)) |POLYCAT-;conditionP;MU;27|) (SEQ (LETT #16# 0 |POLYCAT-;conditionP;MU;27|) @@ -84445,7 +84449,7 @@ (LETT DV$3 (|devaluate| |#3|) . #0#) (LETT DV$4 (|devaluate| |#4|) . #0#) (LETT |dv$| (LIST (QUOTE |PolynomialCategory&|) DV$1 DV$2 DV$3 DV$4) . #0#) - (LETT $ (GETREFV 226) . #0#) + (LETT $ (make-array 226) . #0#) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -84576,9 +84580,9 @@ (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;43|) $)))))) $)))) -(MAKEPROP +(setf (get (QUOTE |PolynomialCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|local| |#3|) (|local| |#4|) (|Equation| 6) (0 . |lhs|) (|Union| 9 (QUOTE "failed")) @@ -84716,7 +84720,7 @@ 0 152 2 0 23 0 0 183)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{PSETCAT.lsp BOOTSTRAP} {\bf PSETCAT} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf PSETCAT} @@ -84726,7 +84730,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{PSETCAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -84829,7 +84833,7 @@ (|devaluate| |t#2|) (|devaluate| |t#3|) (|devaluate| |t#4|))))))) -@ +\end{chunk} \section{PSETCAT-.lsp BOOTSTRAP} {\bf PSETCAT-} depends on {\bf PSETCAT}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf PSETCAT-} @@ -84839,7 +84843,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{PSETCAT-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -85564,7 +85568,7 @@ (LIST (QUOTE |PolynomialSetCategory&|) |DV$1| |DV$2| |DV$3| |DV$4| |DV$5|) . #1#) - (LETT |$| (GETREFV 90) . #1#) + (LETT |$| (make-array 90) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -85606,9 +85610,9 @@ |$|))))))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |PolynomialSetCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|local| |#3|) @@ -85671,7 +85675,7 @@ 10 0 72 2 0 0 0 9 32 2 0 0 0 9 31 2 0 0 0 9 33 2 0 15 0 0 39)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{QFCAT.lsp BOOTSTRAP} {\bf QFCAT} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf QFCAT} @@ -85681,7 +85685,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{QFCAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -85754,7 +85758,7 @@ (QUOTE NIL) NIL)) . #2=(|QuotientFieldCategory|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |QuotientFieldCategory|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{QFCAT-.lsp BOOTSTRAP} {\bf QFCAT-} depends on {\bf QFCAT}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf QFCAT-} @@ -85764,7 +85768,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{QFCAT-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86000,7 +86004,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|QuotientFieldCategory&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |QuotientFieldCategory&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 119) . #1#) + (LETT |$| (make-array 119) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -86091,9 +86095,9 @@ (QSETREFV |$| 98 (CONS (|dispatchFunction| |QFCAT-;random;A;26|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |QuotientFieldCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |numer|) (5 . |coerce|) |QFCAT-;numerator;2A;1| (10 . |denom|) @@ -86165,7 +86169,7 @@ 78 1 0 0 55 57 1 0 0 85 90 0 0 29 31 2 0 48 0 0 50)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{RCAGG.lsp BOOTSTRAP} {\bf RCAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf RCAGG} @@ -86175,7 +86179,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RCAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86232,7 +86236,7 @@ . #2=(|RecursiveAggregate|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |RecursiveAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{RCAGG-.lsp BOOTSTRAP} {\bf RCAGG-} depends on {\bf RCAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf RCAGG-} @@ -86242,7 +86246,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RCAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86262,7 +86266,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|RecursiveAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |RecursiveAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 19) . #1#) + (LETT |$| (make-array 19) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -86283,9 +86287,9 @@ (QSETREFV |$| 18 (CONS (|dispatchFunction| |RCAGG-;child?;2AB;3|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |RecursiveAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |value|) (QUOTE "value") |RCAGG-;elt;AvalueS;1| (5 . |setvalue!|) @@ -86302,7 +86306,7 @@ 1 6 13 0 14 2 16 15 6 0 17 2 0 15 0 0 18 3 0 7 0 9 7 12 2 0 7 0 9 10 2 0 15 0 0 18)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{RING.lsp BOOTSTRAP} {\bf RING} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf RING} @@ -86312,7 +86316,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RING.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86344,9 +86348,9 @@ |Ring|) (SETELT #1# 0 (QUOTE (|Ring|))))))) -(MAKEPROP (QUOTE |Ring|) (QUOTE NILADIC) T) +(setf (get (QUOTE |Ring|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{RING-.lsp BOOTSTRAP} {\bf RING-} depends on {\bf RING}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf RING-} @@ -86356,7 +86360,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RING-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86369,16 +86373,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|Ring&|)) (LETT |dv$| (LIST (QUOTE |Ring&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 12) . #1#) + (LETT |$| (make-array 12) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |Ring&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -86399,7 +86403,7 @@ (|makeByteWordVec2| 10 (QUOTE (0 6 0 7 2 6 0 8 0 9 1 0 0 8 10)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{RNG.lsp BOOTSTRAP} {\bf RNG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a @@ -86410,7 +86414,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RNG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86429,9 +86433,9 @@ (LETT #1# (|Join| (|AbelianGroup|) (|SemiGroup|)) |Rng|) (SETELT #1# 0 (QUOTE (|Rng|))))))) -(MAKEPROP (QUOTE |Rng|) (QUOTE NILADIC) T) +(setf (get (QUOTE |Rng|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{RNS.lsp BOOTSTRAP} {\bf RNS} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a @@ -86442,7 +86446,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RNS.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86494,9 +86498,9 @@ |RealNumberSystem|) (SETELT #1# 0 (QUOTE (|RealNumberSystem|))))))) -(MAKEPROP (QUOTE |RealNumberSystem|) (QUOTE NILADIC) T) +(setf (get (QUOTE |RealNumberSystem|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{RNS-.lsp BOOTSTRAP} {\bf RNS-} depends {\bf RNS}. We need to break this cycle to build the algebra. So we keep a @@ -86507,7 +86511,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{RNS-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86627,16 +86631,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|RealNumberSystem&|)) (LETT |dv$| (LIST (QUOTE |RealNumberSystem&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 52) . #1#) + (LETT |$| (make-array 52) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |RealNumberSystem&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -86708,7 +86712,7 @@ 0 33 1 0 0 25 28 1 0 0 25 28 0 0 7 8 1 0 0 0 39)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{SETAGG.lsp BOOTSTRAP} {\bf SETAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf SETAGG} @@ -86718,7 +86722,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{SETAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86773,7 +86777,7 @@ . #2=(|SetAggregate|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |SetAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{SETAGG-.lsp BOOTSTRAP} {\bf SETAGG-} depends on {\bf SETAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf SETAGG-} @@ -86783,7 +86787,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{SETAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86809,7 +86813,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|SetAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |SetAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 16) . #1#) + (LETT |$| (make-array 16) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -86817,9 +86821,9 @@ (QSETREFV |$| 7 |#2|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |SetAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |difference|) (6 . |union|) |SETAGG-;symmetricDifference;3A;1| @@ -86836,7 +86840,7 @@ (|makeByteWordVec2| 15 (QUOTE (2 6 0 0 0 8 2 6 0 0 0 9 1 6 0 11 12 2 0 0 7 0 14 2 0 0 0 7 13 2 0 0 0 0 10 2 0 0 0 7 15)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{SETCAT.lsp BOOTSTRAP} {\bf SETCAT} needs {\bf SINT} which needs @@ -86858,7 +86862,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{SETCAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86893,9 +86897,9 @@ |SetCategory|) (SETELT #1# 0 (QUOTE (|SetCategory|))))))) -(MAKEPROP (QUOTE |SetCategory|) (QUOTE NILADIC) T) +(setf (get (QUOTE |SetCategory|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{SETCAT-.lsp BOOTSTRAP} {\bf SETCAT-} is the implementation of the operations exported by {\bf SETCAT}. It comes into existance whenever {\bf SETCAT} @@ -86905,7 +86909,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{SETCAT-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -86930,16 +86934,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|SetCategory&|)) (LETT |dv$| (LIST (QUOTE |SetCategory&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 11) . #1#) + (LETT |$| (make-array 11) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |SetCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -86962,7 +86966,7 @@ (QUOTE (1 0 9 0 10 1 0 7 0 8)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{STAGG.lsp BOOTSTRAP} {\bf STAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf STAGG} @@ -86972,7 +86976,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{STAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -87016,7 +87020,7 @@ . #2=(|StreamAggregate|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |StreamAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{STAGG-.lsp BOOTSTRAP} {\bf STAGG-} depends on {\bf STAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf STAGG-} @@ -87026,7 +87030,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{STAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -87280,7 +87284,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|StreamAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |StreamAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 51) . #1#) + (LETT |$| (make-array 51) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) @@ -87301,9 +87305,9 @@ (CONS (|dispatchFunction| |STAGG-;concat!;3A;13|) |$|))))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |StreamAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|Boolean|) (0 . |cyclic?|) |STAGG-;explicitlyFinite?;AB;1| @@ -87336,7 +87340,7 @@ 1 0 8 0 11 2 0 0 37 0 38 2 0 0 0 15 16 2 0 0 0 7 39 1 0 8 0 10 2 0 7 0 19 22 2 0 0 0 23 30 2 0 0 0 0 46 1 0 0 33 35 2 0 0 0 0 32)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{TSETCAT.lsp BOOTSTRAP} {\bf TSETCAT} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a @@ -87347,7 +87351,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{TSETCAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -87493,7 +87497,7 @@ (|devaluate| |t#3|) (|devaluate| |t#4|))))))) -@ +\end{chunk} \section{TSETCAT-.lsp BOOTSTRAP} {\bf TSETCAT} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a @@ -87504,7 +87508,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{TSETCAT-.lsp BOOTSTRAP} (/VERSIONCHECK 2) @@ -88369,7 +88373,7 @@ (LETT DV$5 (|devaluate| |#5|) . #0#) (LETT |dv$| (LIST (QUOTE |TriangularSetCategory&|) DV$1 DV$2 DV$3 DV$4 DV$5) . #0#) - (LETT $ (GETREFV 131) . #0#) + (LETT $ (make-array 131) . #0#) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -88387,9 +88391,9 @@ (CONS (|dispatchFunction| |TSETCAT-;coHeight;SNni;39|) $)))) $)))) -(MAKEPROP +(setf (get (QUOTE |TriangularSetCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|local| |#3|) (|local| |#4|) (|local| |#5|) (|Boolean|) (0 . |empty?|) @@ -88479,7 +88483,7 @@ 0 11 0 98 99 1 0 113 0 114 2 0 11 9 0 117 2 0 11 0 0 19)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{UFD.lsp BOOTSTRAP} {\bf UFD} needs {\bf GCDDOM} which needs @@ -88501,7 +88505,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{UFD.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -88536,9 +88540,9 @@ |UniqueFactorizationDomain|) (SETELT #1# 0 (QUOTE (|UniqueFactorizationDomain|))))))) -(MAKEPROP (QUOTE |UniqueFactorizationDomain|) (QUOTE NILADIC) T) +(setf (get (QUOTE |UniqueFactorizationDomain|) (QUOTE NILADIC)) T) -@ +\end{chunk} \section{UFD-.lsp BOOTSTRAP} {\bf UFD-} needs {\bf UFD}. We need to break this cycle to build the algebra. So we keep a @@ -88549,7 +88553,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{UFD-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -88611,16 +88615,16 @@ (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|UniqueFactorizationDomain&|)) (LETT |dv$| (LIST (QUOTE |UniqueFactorizationDomain&|) |DV$1|) . #1#) - (LETT |$| (GETREFV 24) . #1#) + (LETT |$| (make-array 24) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|)))) -(MAKEPROP +(setf (get (QUOTE |UniqueFactorizationDomain&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -88657,7 +88661,7 @@ 0 17 1 9 20 0 21 1 0 0 0 16 1 0 22 0 23)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{ULSCAT.lsp BOOTSTRAP} {\bf ULSCAT} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf ULSCAT} @@ -88667,7 +88671,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ULSCAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -88748,7 +88752,7 @@ . #3#) (SETELT #1# 0 (LIST (QUOTE |UnivariateLaurentSeriesCategory|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{UPOLYC.lsp BOOTSTRAP} {\bf UPOLYC} depends on itself. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf UPOLYC} @@ -88758,7 +88762,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{UPOLYC.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -88899,7 +88903,7 @@ (QUOTE |UnivariatePolynomialCategory|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{UPOLYC-.lsp BOOTSTRAP} {\bf UPOLYC-} depends on {\bf UPOLYC}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf UPOLYC-} @@ -88909,7 +88913,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{UPOLYC-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -89901,7 +89905,7 @@ (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |UnivariatePolynomialCategory&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 201) . #1#) + (LETT |$| (make-array 201) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -90019,9 +90023,9 @@ (|dispatchFunction| |UPOLYC-;integrate;2S;53|) |$|)))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |UnivariatePolynomialCategory&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -90282,7 +90286,7 @@ 0 12 50)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \section{URAGG.lsp BOOTSTRAP} {\bf URAGG} depends on a chain of files. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf URAGG} @@ -90292,7 +90296,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{URAGG.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -90372,7 +90376,7 @@ . #2#) (SETELT #1# 0 (LIST (QUOTE |UnaryRecursiveAggregate|) (|devaluate| |t#1|))))))) -@ +\end{chunk} \section{URAGG-.lsp BOOTSTRAP} {\bf URAGG-} depends on {\bf URAGG}. We need to break this cycle to build the algebra. So we keep a cached copy of the translated {\bf URAGG-} @@ -90382,7 +90386,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{URAGG-.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -90962,7 +90966,7 @@ (LETT |DV$1| (|devaluate| |#1|) . #1=(|UnaryRecursiveAggregate&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |UnaryRecursiveAggregate&|) |DV$1| |DV$2|) . #1#) - (LETT |$| (GETREFV 66) . #1#) + (LETT |$| (make-array 66) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| @@ -91005,9 +91009,9 @@ (CONS (|dispatchFunction| |URAGG-;cycleSplit!;2A;33|) |$|))))) |$|)))) -(MAKEPROP +(setf (get (QUOTE |UnaryRecursiveAggregate&|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |first|) (QUOTE "first") |URAGG-;elt;AfirstS;1| (5 . |last|) @@ -91054,471 +91058,471 @@ 21 1 0 0 0 38 1 0 0 0 64 1 0 29 0 40 1 0 0 0 39 2 0 0 0 0 57 1 0 24 0 26 2 0 19 0 0 47 1 0 29 0 34)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} \chapter{Chunk collections} -<>= -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> - -<> -<> - -<> -<> -<> -<> -<> -<> -<> - -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> - -<> -<> -<> -@ -<>= +\begin{chunk}{algebra} +\getchunk{category ABELGRP AbelianGroup} +\getchunk{category ABELMON AbelianMonoid} +\getchunk{category AMR AbelianMonoidRing} +\getchunk{category ABELSG AbelianSemiGroup} +\getchunk{category AGG Aggregate} +\getchunk{category ALGEBRA Algebra} +\getchunk{category ACF AlgebraicallyClosedField} +\getchunk{category ACFS AlgebraicallyClosedFunctionSpace} +\getchunk{category AHYP ArcHyperbolicFunctionCategory} +\getchunk{category ATRIG ArcTrigonometricFunctionCategory} +\getchunk{category ALAGG AssociationListAggregate} +\getchunk{category ATTREG AttributeRegistry} + +\getchunk{category BGAGG BagAggregate} +\getchunk{category BASTYPE BasicType} +\getchunk{category BLMETCT BlowUpMethodCategory} +\getchunk{category BMODULE BiModule} +\getchunk{category BRAGG BinaryRecursiveAggregate} +\getchunk{category BTCAT BinaryTreeCategory} +\getchunk{category BTAGG BitAggregate} + +\getchunk{category CACHSET CachableSet} +\getchunk{category CABMON CancellationAbelianMonoid} +\getchunk{category CHARNZ CharacteristicNonZero} +\getchunk{category CHARZ CharacteristicZero} +\getchunk{category KOERCE CoercibleTo} +\getchunk{category CLAGG Collection} +\getchunk{category CFCAT CombinatorialFunctionCategory} +\getchunk{category COMBOPC CombinatorialOpsCategory} +\getchunk{category COMRING CommutativeRing} +\getchunk{category COMPCAT ComplexCategory} +\getchunk{category KONVERT ConvertibleTo} + +\getchunk{category DQAGG DequeueAggregate} +\getchunk{category DSTRCAT DesingTreeCategory} +\getchunk{category DIAGG Dictionary} +\getchunk{category DIOPS DictionaryOperations} +\getchunk{category DIFEXT DifferentialExtension} +\getchunk{category DPOLCAT DifferentialPolynomialCategory} +\getchunk{category DIFRING DifferentialRing} +\getchunk{category DIVCAT DivisorCategory} +\getchunk{category DVARCAT DifferentialVariableCategory} +\getchunk{category DIRPCAT DirectProductCategory} +\getchunk{category DIVRING DivisionRing} +\getchunk{category DLAGG DoublyLinkedAggregate} + +\getchunk{category ELEMFUN ElementaryFunctionCategory} +\getchunk{category ELTAB Eltable} +\getchunk{category ELTAGG EltableAggregate} +\getchunk{category ENTIRER EntireRing} +\getchunk{category EUCDOM EuclideanDomain} +\getchunk{category EVALAB Evalable} +\getchunk{category ES ExpressionSpace} +\getchunk{category ELAGG ExtensibleLinearAggregate} +\getchunk{category XF ExtensionField} + +\getchunk{category FIELD Field} +\getchunk{category FPC FieldOfPrimeCharacteristic} +\getchunk{category FILECAT FileCategory} +\getchunk{category FNCAT FileNameCategory} +\getchunk{category FINITE Finite} +\getchunk{category FAMR FiniteAbelianMonoidRing} +\getchunk{category FAXF FiniteAlgebraicExtensionField} +\getchunk{category FDIVCAT FiniteDivisorCategory} +\getchunk{category FFIELDC FiniteFieldCategory} +\getchunk{category FLAGG FiniteLinearAggregate} +\getchunk{category FINRALG FiniteRankAlgebra} +\getchunk{category FINAALG FiniteRankNonAssociativeAlgebra} +\getchunk{category FSAGG FiniteSetAggregate} +\getchunk{category FPS FloatingPointSystem} +\getchunk{category FORTFN FortranFunctionCategory} +\getchunk{category FMTC FortranMachineTypeCategory} +\getchunk{category FMC FortranMatrixCategory} +\getchunk{category FMFUN FortranMatrixFunctionCategory} +\getchunk{category FORTCAT FortranProgramCategory} +\getchunk{category FVC FortranVectorCategory} +\getchunk{category FVFUN FortranVectorFunctionCategory} +\getchunk{category FRAMALG FramedAlgebra} +\getchunk{category FRNAALG FramedNonAssociativeAlgebra} +\getchunk{category FAMONC FreeAbelianMonoidCategory} +\getchunk{category FLALG FreeLieAlgebra} +\getchunk{category FMCAT FreeModuleCat} +\getchunk{category FEVALAB FullyEvalableOver} +\getchunk{category FLINEXP FullyLinearlyExplicitRingOver} +\getchunk{category FPATMAB FullyPatternMatchable} +\getchunk{category FRETRCT FullyRetractableTo} +\getchunk{category FFCAT FunctionFieldCategory} +\getchunk{category FS FunctionSpace} + +\getchunk{category GCDDOM GcdDomain} +\getchunk{category GRALG GradedAlgebra} +\getchunk{category GRMOD GradedModule} +\getchunk{category GROUP Group} + +\getchunk{category HOAGG HomogeneousAggregate} +\getchunk{category HYPCAT HyperbolicFunctionCategory} + +\getchunk{category IXAGG IndexedAggregate} +\getchunk{category IDPC IndexedDirectProductCategory} +\getchunk{category INFCLCT InfinitlyClosePointCategory} +\getchunk{category IEVALAB InnerEvalable} +\getchunk{category INS IntegerNumberSystem} +\getchunk{category INTDOM IntegralDomain} +\getchunk{category INTCAT IntervalCategory} + +\getchunk{category KDAGG KeyedDictionary} + +\getchunk{category LZSTAGG LazyStreamAggregate} +\getchunk{category LALG LeftAlgebra} +\getchunk{category LMODULE LeftModule} +\getchunk{category LIECAT LieAlgebra} +\getchunk{category LNAGG LinearAggregate} +\getchunk{category LINEXP LinearlyExplicitRingOver} +\getchunk{category LODOCAT LinearOrdinaryDifferentialOperatorCategory} +\getchunk{category LFCAT LiouvillianFunctionCategory} +\getchunk{category LSAGG ListAggregate} +\getchunk{category LOCPOWC LocalPowerSeriesCategory} +\getchunk{category LOGIC Logic} + +\getchunk{category MATCAT MatrixCategory} +\getchunk{category MODULE Module} +\getchunk{category MONAD Monad} +\getchunk{category MONADWU MonadWithUnit} +\getchunk{category MONOGEN MonogenicAlgebra} +\getchunk{category MLO MonogenicLinearOperator} +\getchunk{category MONOID Monoid} +\getchunk{category MDAGG MultiDictionary} +\getchunk{category MSETAGG MultisetAggregate} +\getchunk{category MTSCAT MultivariateTaylorSeriesCategory} + +\getchunk{category NAALG NonAssociativeAlgebra} +\getchunk{category NASRING NonAssociativeRing} +\getchunk{category NARNG NonAssociativeRng} +\getchunk{category NTSCAT NormalizedTriangularSetCategory} +\getchunk{category NUMINT NumericalIntegrationCategory} +\getchunk{category OPTCAT NumericalOptimizationCategory} + +\getchunk{category OC OctonionCategory} +\getchunk{category A1AGG OneDimensionalArrayAggregate} +\getchunk{category OM OpenMath} +\getchunk{category OAGROUP OrderedAbelianGroup} +\getchunk{category OAMON OrderedAbelianMonoid} +\getchunk{category OAMONS OrderedAbelianMonoidSup} +\getchunk{category OASGP OrderedAbelianSemiGroup} +\getchunk{category OCAMON OrderedCancellationAbelianMonoid} +\getchunk{category ORDFIN OrderedFinite} +\getchunk{category OINTDOM OrderedIntegralDomain} +\getchunk{category ORDMON OrderedMonoid} +\getchunk{category OMSAGG OrderedMultisetAggregate} +\getchunk{category ORDRING OrderedRing} +\getchunk{category ORDSET OrderedSet} +\getchunk{category ODECAT OrdinaryDifferentialEquationsSolverCategory} + +\getchunk{category PADICCT PAdicIntegerCategory} +\getchunk{category PDECAT PartialDifferentialEquationsSolverCategory} +\getchunk{category PDRING PartialDifferentialRing} +\getchunk{category PTRANFN PartialTranscendentalFunctions} +\getchunk{category PATAB Patternable} +\getchunk{category PATMAB PatternMatchable} +\getchunk{category PERMCAT PermutationCategory} +\getchunk{category PLACESC PlacesCategory} +\getchunk{category PPCURVE PlottablePlaneCurveCategory} +\getchunk{category PSCURVE PlottableSpaceCurveCategory} +\getchunk{category PTCAT PointCategory} +\getchunk{category POLYCAT PolynomialCategory} +\getchunk{category PFECAT PolynomialFactorizationExplicit} +\getchunk{category PSETCAT PolynomialSetCategory} +\getchunk{category PSCAT PowerSeriesCategory} +\getchunk{category PRIMCAT PrimitiveFunctionCategory} +\getchunk{category PID PrincipalIdealDomain} +\getchunk{category PRQAGG PriorityQueueAggregate} +\getchunk{category PRSPCAT ProjectiveSpaceCategory} +\getchunk{category PACEXTC PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory} +\getchunk{category PACFFC PseudoAlgebraicClosureOfFiniteFieldCategory} +\getchunk{category PACPERC PseudoAlgebraicClosureOfPerfectFieldCategory} +\getchunk{category PACRATC PseudoAlgebraicClosureOfRationalNumberCategory} + +\getchunk{category QUATCAT QuaternionCategory} +\getchunk{category QUAGG QueueAggregate} +\getchunk{category QFCAT QuotientFieldCategory} + +\getchunk{category RADCAT RadicalCategory} +\getchunk{category RCFIELD RealClosedField} +\getchunk{category REAL RealConstant} +\getchunk{category RNS RealNumberSystem} +\getchunk{category RRCC RealRootCharacterizationCategory} +\getchunk{category RMATCAT RectangularMatrixCategory} +\getchunk{category RCAGG RecursiveAggregate} +\getchunk{category RPOLCAT RecursivePolynomialCategory} +\getchunk{category RSETCAT RegularTriangularSetCategory} +\getchunk{category RETRACT RetractableTo} +\getchunk{category RMODULE RightModule} +\getchunk{category RING Ring} +\getchunk{category RNG Rng} + +\getchunk{category SEGCAT SegmentCategory} +\getchunk{category SEGXCAT SegmentExpansionCategory} +\getchunk{category SGROUP SemiGroup} +\getchunk{category SETAGG SetAggregate} +\getchunk{category SETCAT SetCategory} +\getchunk{category SETCATD SetCategoryWithDegree} +\getchunk{category SEXCAT SExpressionCategory} +\getchunk{category SPFCAT SpecialFunctionCategory} +\getchunk{category SNTSCAT SquareFreeNormalizedTriangularSetCategory} +\getchunk{category SFRTCAT SquareFreeRegularTriangularSetCategory} +\getchunk{category SMATCAT SquareMatrixCategory} +\getchunk{category SKAGG StackAggregate} +\getchunk{category STEP StepThrough} +\getchunk{category STAGG StreamAggregate} +\getchunk{category SRAGG StringAggregate} +\getchunk{category STRICAT StringCategory} + +\getchunk{category TBAGG TableAggregate} +\getchunk{category SPACEC ThreeSpaceCategory} +\getchunk{category TSETCAT TriangularSetCategory} +\getchunk{category TRIGCAT TrigonometricFunctionCategory} +\getchunk{category TRANFUN TranscendentalFunctionCategory} +\getchunk{category ARR2CAT TwoDimensionalArrayCategory} +\getchunk{category TYPE Type} + +\getchunk{category URAGG UnaryRecursiveAggregate} +\getchunk{category UFD UniqueFactorizationDomain} +\getchunk{category ULSCAT UnivariateLaurentSeriesCategory} +\getchunk{category ULSCCAT 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+\getchunk{XPOLYC.dotfull} } -@ +\end{chunk} \eject \begin{thebibliography}{99} \bibitem{1} N. Jacobson: Structure and Representations of Jordan Algebras diff -Nru axiom-20110301a/books/bookvol10.3.pamphlet axiom-20111101/books/bookvol10.3.pamphlet --- axiom-20110301a/books/bookvol10.3.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/books/bookvol10.3.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{amssymb} %% we need \therefore symbol \usepackage{axiom} %% we need noweb support \usepackage{makeidx} %% we need an index +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx}%%we need \includegraphics @@ -247,7 +248,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain AFFPL AffinePlane} -<>= +\begin{chunk}{AffinePlane.input} )set break resume )sys rm -f AffinePlane.output )spool AffinePlane.output @@ -282,8 +283,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AffinePlane.help} ==================================================================== AffinePlane examples ==================================================================== @@ -291,7 +292,7 @@ See Also: o )show AffinePlane -@ +\end{chunk} \pagehead{AffinePlane}{AFFPL} \pagepic{ps/v103affineplane.ps}{AFFPL}{1.00} @@ -299,7 +300,7 @@ \begin{tabular}{lllll} \end{tabular} -<>= +\begin{chunk}{domain AFFPL AffinePlane} )abbrev domain AFFPL AffinePlane ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -315,17 +316,17 @@ Implementation ==> AffineSpace(2,K) -@ -<>= +\end{chunk} +\begin{chunk}{AFFPL.dotabb} "AFFPL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFPL"]; "AFFSP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFSP"]; "AFFPL" -> "AFFSP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain AFFPLPS AffinePlaneOverPseudoAlgebraicClosureOfFiniteField} -<>= +\begin{chunk}{AffinePlaneOverPseudoAlgebraicClosureOfFiniteField.input} )set break resume )sys rm -f AffinePlaneOverPseudoAlgebraicClosureOfFiniteField.output )spool AffinePlaneOverPseudoAlgebraicClosureOfFiniteField.output @@ -364,8 +365,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AffinePlaneOverPseudoAlgebraicClosureOfFiniteField.help}oooo ==================================================================== AffinePlaneOverPseudoAlgebraicClosureOfFiniteField examples ==================================================================== @@ -373,7 +374,7 @@ See Also: o )show AffinePlaneOverPseudoAlgebraicClosureOfFiniteField -@ +\end{chunk} \pagehead{AffinePlaneOverPseudoAlgebraicClosureOfFiniteField}{AFFPLPS} \pagepic{ps/v103affineplaneoverpseudoalgebraicclosureoffinitefield.ps}% {AFFPLPS}{1.00} @@ -399,7 +400,7 @@ \cross{AFFPLPS}{setelt} &&& \end{tabular} -<>= +\begin{chunk}{domain AFFPLPS AffinePlaneOverPseudoAlgebraicClosureOfFiniteField} )abbrev domain AFFPLPS AffinePlaneOverPseudoAlgebraicClosureOfFiniteField ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -415,17 +416,17 @@ Exports ==> AffineSpaceCategory(KK) Impl ==> AffinePlane(KK) -@ -<>= +\end{chunk} +\begin{chunk}{AFFPLPS.dotabb} "AFFPLPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFPLPS"]; "AFFPL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFPL"]; "AFFPLPS" -> "AFFPL" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain AFFSP AffineSpace} -<>= +\begin{chunk}{AffineSpace.input} )set break resume )sys rm -f AffineSpace.output )spool AffineSpace.output @@ -460,8 +461,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AffineSpace.help} ==================================================================== AffineSpace examples ==================================================================== @@ -469,7 +470,7 @@ See Also: o )show AffineSpace -@ +\end{chunk} \pagehead{AffineSpace}{AFFSP} \pagepic{ps/v103affinespace.ps}{AFFSP}{1.00} @@ -494,7 +495,7 @@ \cross{AFFSP}{setelt} &&& \end{tabular} -<>= +\begin{chunk}{domain AFFSP AffineSpace} )abbrev domain AFFSP AffineSpace ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -595,19 +596,19 @@ ptt:%:= pt ptt -@ -<>= +\end{chunk} +\begin{chunk}{AFFSP.dotabb} "AFFSP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFSP"]; "PACPERC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACPERC"]; "FPC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPC"]; "AFFSP" -> "FPC" "AFFSP" -> "PACPERC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ALGSC AlgebraGivenByStructuralConstants} -<>= +\begin{chunk}{AlgebraGivenByStructuralConstants.input} )set break resume )sys rm -f AlgebraGivenByStructuralConstants.output )spool AlgebraGivenByStructuralConstants.output @@ -691,8 +692,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AlgebraGivenByStructuralConstants.help} ==================================================================== AlgebraGivenByStructuralConstants examples ==================================================================== @@ -700,7 +701,7 @@ See Also: o )show AlgebraGivenByStructuralConstants -@ +\end{chunk} \pagehead{AlgebraGivenByStructuralConstants}{ALGSC} \pagepic{ps/v103algebragivenbystructuralconstants.ps}{ALGSC}{1.00} @@ -780,7 +781,7 @@ \cross{ALGSC}{?*?} \end{tabular} -<>= +\begin{chunk}{domain ALGSC AlgebraGivenByStructuralConstants} )abbrev domain ALGSC AlgebraGivenByStructuralConstants ++ Authors: J. Grabmeier, R. Wisbauer ++ Date Created: 01 March 1991 @@ -1169,17 +1170,17 @@ messagePrint("Jacobi identity holds")$OutputForm true -@ -<>= +\end{chunk} +\begin{chunk}{ALGSC.dotabb} "ALGSC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALGSC"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "ALGSC" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ALGFF AlgebraicFunctionField} -<>= +\begin{chunk}{AlgebraicFunctionField.input} )set break resume )sys rm -f AlgebraicFunctionField.output )spool AlgebraicFunctionField.output @@ -1349,8 +1350,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AlgebraicFunctionField.help} ==================================================================== AlgebraicFunctionField examples ==================================================================== @@ -1358,7 +1359,7 @@ See Also: o )show AlgebraicFunctionField -@ +\end{chunk} \pagehead{AlgebraicFunctionField}{ALGFF} \pagepic{ps/v103algebraicfunctionfield.ps}{ALGFF}{1.00} @@ -1483,7 +1484,7 @@ \cross{ALGFF}{?rem?} \\ \end{tabular} -<>= +\begin{chunk}{domain ALGFF AlgebraicFunctionField} )abbrev domain ALGFF AlgebraicFunctionField ++ Author: Manuel Bronstein ++ Date Created: 3 May 1988 @@ -1621,17 +1622,17 @@ (r:=retractIfCan(p)@Union(F,"failed")) case F =>branchPoint?(r::F) not ground? gcd(retract(discriminant())@UP, p) -@ -<>= +\end{chunk} +\begin{chunk}{ALGFF.dotabb} "ALGFF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALGFF"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "ALGFF" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain AN AlgebraicNumber} -<>= +\begin{chunk}{AlgebraicNumber.input} )set break resume )sys rm -f AlgebraicNumber.output )spool AlgebraicNumber.output @@ -1757,8 +1758,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AlgebraicNumber.help} ==================================================================== AlgebraicNumber examples ==================================================================== @@ -1766,7 +1767,7 @@ See Also: o )show AlgebraicNumber -@ +\end{chunk} \pagehead{AlgebraicNumber}{AN} \pagepic{ps/v103algebraicnumber.ps}{AN}{1.00} @@ -1862,7 +1863,7 @@ \cross{AN}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain AN AlgebraicNumber} )abbrev domain AN AlgebraicNumber ++ Author: James Davenport ++ Date Created: 9 October 1995 @@ -1912,17 +1913,17 @@ one? a == trueEqual(a::Rep,1::Rep) a=b == trueEqual((a-b)::Rep,0::Rep) -@ -<>= +\end{chunk} +\begin{chunk}{AN.dotabb} "AN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AN"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "AN" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ANON AnonymousFunction} -<>= +\begin{chunk}{AnonymousFunction.input} )set break resume )sys rm -f AnonymousFunction.output )spool AnonymousFunction.output @@ -1946,8 +1947,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AnonymousFunction.help} ==================================================================== AnonymousFunction examples ==================================================================== @@ -1955,7 +1956,7 @@ See Also: o )show AnonymousFunction -@ +\end{chunk} \pagehead{AnonymousFunction}{ANON} \pagepic{ps/v103anonymousfunction.ps}{ANON}{1.00} @@ -1969,7 +1970,7 @@ \cross{ANON}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain ANON AnonymousFunction} )abbrev domain ANON AnonymousFunction ++ Author: Mark Botch ++ Description: @@ -1978,19 +1979,19 @@ AnonymousFunction():SetCategory == add coerce(x:%):OutputForm == x pretend OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{ANON.dotabb} "ANON" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ANON"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "ANON" -> "BASTYPE" "ANON" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ANTISYM AntiSymm} -<>= +\begin{chunk}{AntiSymm.input} )set break resume )sys rm -f AntiSymm.output )spool AntiSymm.output @@ -2034,8 +2035,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AntiSymm.help} ==================================================================== AntiSymm examples ==================================================================== @@ -2043,7 +2044,7 @@ See Also: o )show AntiSymm -@ +\end{chunk} \pagehead{AntiSymm}{ANTISYM} \pagepic{ps/v103antisymm.ps}{ANTISYM}{1.00} @@ -2088,7 +2089,7 @@ \cross{ANTISYM}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain ANTISYM AntiSymm} )abbrev domain ANTISYM AntiSymm ++ Author: Larry A. Lambe ++ Date : 01/26/91. @@ -2280,17 +2281,17 @@ makeTerm(t.coef,t.base) reduce(_+,[makeTerm(t.coef,t.base) for t in (a @ Rep)])$L(O) -@ -<>= +\end{chunk} +\begin{chunk}{ANTISYM.dotabb} "ANTISYM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ANTISYM"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ANTISYM" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ANY Any} -<>= +\begin{chunk}{Any.input} )set break resume )sys rm -f Any.output )spool Any.output @@ -2456,8 +2457,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Any.help} ==================================================================== Any examples ==================================================================== @@ -2533,7 +2534,7 @@ See Also: o )show Any -@ +\end{chunk} \pagehead{Any}{ANY} \pagepic{ps/v103any.ps}{ANY}{1.00} {\bf See}\\ @@ -2554,7 +2555,7 @@ \cross{ANY}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain ANY Any} )abbrev domain ANY Any ++ Author: Robert S. Sutor ++ Date Created: @@ -2635,17 +2636,17 @@ (isValidType(domain)$Lisp)@Boolean => [domain, object] error "function any must have a domain as first argument" -@ -<>= +\end{chunk} +\begin{chunk}{ANY.dotabb} "ANY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ANY"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ANY" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASTACK ArrayStack} -<>= +\begin{chunk}{ArrayStack.input} )set break resume )sys rm -f ArrayStack.output )spool ArrayStack.output @@ -3041,8 +3042,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ArrayStack.help} ==================================================================== ArrayStack examples ==================================================================== @@ -3270,7 +3271,7 @@ o )show Heap o )show BagAggregate -@ +\end{chunk} \pagehead{ArrayStack}{ASTACK} \pagepic{ps/v103arraystack.ps}{ASTACK}{1.00} {\bf See}\\ @@ -3315,7 +3316,7 @@ \cross{ASTACK}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain ASTACK ArrayStack} )abbrev domain ASTACK ArrayStack ++ Author: Michael Monagan, Stephen Watt, Timothy Daly ++ Date Created:June 86 and July 87 @@ -3507,17 +3508,17 @@ if empty? s then error "empty stack" qelt(s,0) -@ -<>= +\end{chunk} +\begin{chunk}{ASTACK.dotabb} "ASTACK" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASTACK"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "ASTACK" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP1 Asp1} -<>= +\begin{chunk}{Asp1.input} )set break resume )sys rm -f Asp1.output )spool Asp1.output @@ -3552,8 +3553,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp1.help} ==================================================================== Asp1 examples ==================================================================== @@ -3561,7 +3562,7 @@ See Also: o )show Asp1 -@ +\end{chunk} \pagehead{Asp1}{ASP1} \pagepic{ps/v103asp1.ps}{ASP1}{1.00} @@ -3574,7 +3575,7 @@ \cross{ASP1}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP1 Asp1} )abbrev domain ASP1 Asp1 ++ Author: Mike Dewar, Grant Keady, Godfrey Nolan ++ Date Created: Mar 1993 @@ -3677,17 +3678,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP1.dotabb} "ASP1" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP1"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP1" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP10 Asp10} -<>= +\begin{chunk}{Asp10.input} )set break resume )sys rm -f Asp10.output )spool Asp10.output @@ -3724,8 +3725,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp10.help} ==================================================================== Asp10 examples ==================================================================== @@ -3733,7 +3734,7 @@ See Also: o )show Asp10 -@ +\end{chunk} \pagehead{Asp10}{ASP10} \pagepic{ps/v103asp10.ps}{ASP10}{1.00} @@ -3746,7 +3747,7 @@ \cross{ASP10}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP10 Asp10} )abbrev domain ASP10 Asp10 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Mar 1993 @@ -3881,17 +3882,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP10.dotabb} "ASP10" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP10"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP10" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP12 Asp12} -<>= +\begin{chunk}{Asp12.input} )set break resume )sys rm -f Asp12.output )spool Asp12.output @@ -3914,8 +3915,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp12.help} ==================================================================== Asp12 examples ==================================================================== @@ -3923,7 +3924,7 @@ See Also: o )show Asp12 -@ +\end{chunk} \pagehead{Asp12}{ASP12} \pagepic{ps/v103asp12.ps}{ASP12}{1.00} @@ -3934,7 +3935,7 @@ \cross{ASP12}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP12 Asp12} )abbrev domain ASP12 Asp12 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Oct 1993 @@ -3999,17 +4000,17 @@ outputAsFortran(u:%):Void == outputAsFortran(u)$Rep outputAsFortran():Void == outputAsFortran(code)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{ASP12.dotabb} "ASP12" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP12"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP12" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP19 Asp19} -<>= +\begin{chunk}{Asp19.input} )set break resume )sys rm -f Asp19.output )spool Asp19.output @@ -4046,8 +4047,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp19.help} ==================================================================== Asp19 examples ==================================================================== @@ -4055,7 +4056,7 @@ See Also: o )show Asp19 -@ +\end{chunk} \pagehead{Asp19}{ASP19} \pagepic{ps/v103asp19.ps}{ASP19}{1.00} @@ -4068,7 +4069,7 @@ \cross{ASP19}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP19 Asp19} )abbrev domain ASP19 Asp19 ++ Author: Mike Dewar, Godfrey Nolan, Grant Keady ++ Date Created: Mar 1993 @@ -4337,17 +4338,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP19.dotabb} "ASP19" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP19"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP19" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP20 Asp20} -<>= +\begin{chunk}{Asp20.input} )set break resume )sys rm -f Asp20.output )spool Asp20.output @@ -4384,8 +4385,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp20.help} ==================================================================== Asp20 examples ==================================================================== @@ -4393,7 +4394,7 @@ See Also: o )show Asp20 -@ +\end{chunk} \pagehead{Asp20}{ASP20} \pagepic{ps/v103asp20.ps}{ASP20}{1.00} @@ -4406,7 +4407,7 @@ \cross{ASP20}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP20 Asp20} )abbrev domain ASP20 Asp20 ++ Author: Mike Dewar and Godfrey Nolan and Grant Keady ++ Date Created: Dec 1993 @@ -4567,17 +4568,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP20.dotabb} "ASP20" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP20"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP20" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP24 Asp24} -<>= +\begin{chunk}{Asp24.input} )set break resume )sys rm -f Asp24.output )spool Asp24.output @@ -4612,8 +4613,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp24.help} ==================================================================== Asp24 examples ==================================================================== @@ -4621,7 +4622,7 @@ See Also: o )show Asp24 -@ +\end{chunk} \pagehead{Asp24}{ASP24} \pagepic{ps/v103asp24.ps}{ASP24}{1.00} @@ -4634,7 +4635,7 @@ \cross{ASP20}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP24 Asp24} )abbrev domain ASP24 Asp24 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -4747,17 +4748,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP24.dotabb} "ASP24" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP24"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP24" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP27 Asp27} -<>= +\begin{chunk}{Asp27.input} )set break resume )sys rm -f Asp27.output )spool Asp27.output @@ -4782,8 +4783,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp27.help} ==================================================================== Asp27 examples ==================================================================== @@ -4791,7 +4792,7 @@ See Also: o )show Asp27 -@ +\end{chunk} \pagehead{Asp27}{ASP27} \pagepic{ps/v103asp27.ps}{ASP27}{1.00} @@ -4802,7 +4803,7 @@ \cross{ASP27}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP27 Asp27} )abbrev domain ASP27 Asp27 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Nov 1993 @@ -4896,17 +4897,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP27.dotabb} "ASP27" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP27"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP27" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP28 Asp28} -<>= +\begin{chunk}{Asp28.input} )set break resume )sys rm -f Asp28.output )spool Asp28.output @@ -4931,8 +4932,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp28.help} ==================================================================== Asp28 examples ==================================================================== @@ -4940,7 +4941,7 @@ See Also: o )show Asp28 -@ +\end{chunk} \pagehead{Asp28}{ASP28} \pagepic{ps/v103asp28.ps}{ASP28}{1.00} @@ -4951,7 +4952,7 @@ \cross{ASP28}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP28 Asp28} )abbrev domain ASP28 Asp28 ++ Author: Mike Dewar ++ Date Created: 21 March 1994 @@ -5156,17 +5157,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP28.dotabb} "ASP28" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP28"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP28" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP29 Asp29} -<>= +\begin{chunk}{Asp29.input} )set break resume )sys rm -f Asp29.output )spool Asp29.output @@ -5189,8 +5190,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp29.help} ==================================================================== Asp29 examples ==================================================================== @@ -5198,7 +5199,7 @@ See Also: o )show Asp29 -@ +\end{chunk} \pagehead{Asp29}{ASP29} \pagepic{ps/v103asp29.ps}{ASP29}{1.00} @@ -5209,7 +5210,7 @@ \cross{ASP29}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP29 Asp29} )abbrev domain ASP29 Asp29 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Nov 1993 @@ -5277,17 +5278,17 @@ code : List FC := [callOne,returns()]$List(FC) outputAsFortran(coerce(code)@Rep)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{ASP29.dotabb} "ASP29" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP29"] "FORTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FORTCAT"] "ASP29" -> "FORTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP30 Asp30} -<>= +\begin{chunk}{Asp30.input} )set break resume )sys rm -f Asp30.output )spool Asp30.output @@ -5312,8 +5313,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp30.help} ==================================================================== Asp30 examples ==================================================================== @@ -5321,7 +5322,7 @@ See Also: o )show Asp30 -@ +\end{chunk} \pagehead{Asp30}{ASP30} \pagepic{ps/v103asp30.ps}{ASP30}{1.00} @@ -5332,7 +5333,7 @@ \cross{ASP30}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP30 Asp30} )abbrev domain ASP30 Asp30 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Nov 1993 @@ -5456,17 +5457,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP30.dotabb} "ASP30" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP30"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP30" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP31 Asp31} -<>= +\begin{chunk}{Asp31.input} )set break resume )sys rm -f Asp31.output )spool Asp31.output @@ -5503,8 +5504,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp31.help} ==================================================================== Asp31 examples ==================================================================== @@ -5512,7 +5513,7 @@ See Also: o )show Asp31 -@ +\end{chunk} \pagehead{Asp31}{ASP31} \pagepic{ps/v103asp31.ps}{ASP31}{1.00} @@ -5525,7 +5526,7 @@ \cross{ASP31}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP31 Asp31} )abbrev domain ASP31 Asp31 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -5683,17 +5684,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP31.dotabb} "ASP31" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP31"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP31" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP33 Asp33} -<>= +\begin{chunk}{Asp33.input} )set break resume )sys rm -f Asp33.output )spool Asp33.output @@ -5716,8 +5717,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp33.help} ==================================================================== Asp33 examples ==================================================================== @@ -5725,7 +5726,7 @@ See Also: o )show Asp33 -@ +\end{chunk} \pagehead{Asp33}{ASP33} \pagepic{ps/v103asp33.ps}{ASP33}{1.00} @@ -5736,7 +5737,7 @@ \cross{ASP33}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP33 Asp33} )abbrev domain ASP33 Asp33 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Nov 1993 @@ -5784,17 +5785,17 @@ coerce(u:$):OutputForm == coerce(u)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{ASP33.dotabb} "ASP33" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP33"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP33" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP34 Asp34} -<>= +\begin{chunk}{Asp34.input} )set break resume )sys rm -f Asp34.output )spool Asp34.output @@ -5819,8 +5820,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp34.help} ==================================================================== Asp34 examples ==================================================================== @@ -5828,7 +5829,7 @@ See Also: o )show Asp34 -@ +\end{chunk} \pagehead{Asp34}{ASP34} \pagepic{ps/v103asp34.ps}{ASP34}{1.00} @@ -5839,7 +5840,7 @@ \cross{ASP34}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP34 Asp34} )abbrev domain ASP34 Asp34 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Nov 1993 @@ -5933,19 +5934,19 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP34.dotabb} "ASP34" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP34"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "ASP34" -> "FIELD" "ASP34" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP35 Asp35} -<>= +\begin{chunk}{Asp35.input} )set break resume )sys rm -f Asp35.output )spool Asp35.output @@ -5982,8 +5983,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp35.help} ==================================================================== Asp35 examples ==================================================================== @@ -5991,7 +5992,7 @@ See Also: o )show Asp35 -@ +\end{chunk} \pagehead{Asp35}{ASP35} \pagepic{ps/v103asp35.ps}{ASP35}{1.00} @@ -6004,7 +6005,7 @@ \cross{ASP35}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP35 Asp35} )abbrev domain ASP35 Asp35 ++ Author: Mike Dewar, Godfrey Nolan, Grant Keady ++ Date Created: Mar 1993 @@ -6172,17 +6173,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP35.dotabb} "ASP35" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP35"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP35" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP4 Asp4} -<>= +\begin{chunk}{Asp4.input} )set break resume )sys rm -f Asp4.output )spool Asp4.output @@ -6217,8 +6218,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp4.help} ==================================================================== Asp4 examples ==================================================================== @@ -6226,7 +6227,7 @@ See Also: o )show Asp4 -@ +\end{chunk} \pagehead{Asp4}{ASP4} \pagepic{ps/v103asp4.ps}{ASP4}{1.00} @@ -6239,7 +6240,7 @@ \cross{ASP4}{retractIfCan} & \end{tabular} -<>= +\begin{chunk}{domain ASP4 Asp4} )abbrev domain ASP4 Asp4 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -6345,17 +6346,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP4.dotabb} "ASP4" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP4"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP4" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP41 Asp41} -<>= +\begin{chunk}{Asp41.input} )set break resume )sys rm -f Asp41.output )spool Asp41.output @@ -6392,8 +6393,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp41.help} ==================================================================== Asp41 examples ==================================================================== @@ -6401,7 +6402,7 @@ See Also: o )show Asp41 -@ +\end{chunk} \pagehead{Asp41}{ASP41} \pagepic{ps/v103asp41.ps}{ASP41}{1.00} @@ -6414,7 +6415,7 @@ \cross{ASP41}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP41 Asp41} )abbrev domain ASP41 Asp41 ++ Author: Mike Dewar, Godfrey Nolan ++ Date Created: @@ -6628,17 +6629,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP41.dotabb} "ASP41" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP41"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP41" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP42 Asp42} -<>= +\begin{chunk}{Asp42.input} )set break resume )sys rm -f Asp42.output )spool Asp42.output @@ -6675,8 +6676,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp42.help} ==================================================================== Asp42 examples ==================================================================== @@ -6684,7 +6685,7 @@ See Also: o )show Asp42 -@ +\end{chunk} \pagehead{Asp42}{ASP42} \pagepic{ps/v103asp42.ps}{ASP42}{1.00} @@ -6697,7 +6698,7 @@ \cross{ASP42}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP42 Asp42} )abbrev domain ASP42 Asp42 ++ Author: Mike Dewar, Godfrey Nolan ++ Date Created: @@ -6933,17 +6934,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP42.dotabb} "ASP42" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP42"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP42" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP49 Asp49} -<>= +\begin{chunk}{Asp49.input} )set break resume )sys rm -f Asp49.output )spool Asp49.output @@ -6978,8 +6979,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp49.help} ==================================================================== Asp49 examples ==================================================================== @@ -6987,7 +6988,7 @@ See Also: o )show Asp49 -@ +\end{chunk} \pagehead{Asp49}{ASP49} \pagepic{ps/v103asp49.ps}{ASP49}{1.00} @@ -7000,7 +7001,7 @@ \cross{ASP49}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP49 Asp49} )abbrev domain ASP49 Asp49 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -7142,17 +7143,17 @@ foo case "failed" => "failed" (foo::FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP49.dotabb} "ASP49" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP49"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP49" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP50 Asp50} -<>= +\begin{chunk}{Asp50.input} )set break resume )sys rm -f Asp50.output )spool Asp50.output @@ -7189,8 +7190,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp50.help} ==================================================================== Asp50 examples ==================================================================== @@ -7198,7 +7199,7 @@ See Also: o )show Asp50 -@ +\end{chunk} \pagehead{Asp50}{ASP50} \pagepic{ps/v103asp50.ps}{ASP50}{1.00} @@ -7211,7 +7212,7 @@ \cross{ASP50}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP50 Asp50} )abbrev domain ASP50 Asp50 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -7369,17 +7370,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP50.dotabb} "ASP50" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP50"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP50" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP55 Asp55} -<>= +\begin{chunk}{Asp55.input} )set break resume )sys rm -f Asp55.output )spool Asp55.output @@ -7416,8 +7417,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp55.help} ==================================================================== Asp55 examples ==================================================================== @@ -7425,7 +7426,7 @@ See Also: o )show Asp55 -@ +\end{chunk} \pagehead{Asp55}{ASP55} \pagepic{ps/v103asp55.ps}{ASP55}{1.00} @@ -7438,7 +7439,7 @@ \cross{ASP55}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP55 Asp55} )abbrev domain ASP55 Asp55 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: June 1993 @@ -7639,17 +7640,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP55.dotabb} "ASP55" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP55"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP55" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP6 Asp6} -<>= +\begin{chunk}{Asp6.input} )set break resume )sys rm -f Asp6.output )spool Asp6.output @@ -7686,8 +7687,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp6.help} ==================================================================== Asp6 examples ==================================================================== @@ -7695,7 +7696,7 @@ See Also: o )show Asp6 -@ +\end{chunk} \pagehead{Asp6}{ASP6} \pagepic{ps/v103asp6.ps}{ASP6}{1.00} @@ -7708,7 +7709,7 @@ \cross{ASP6}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP6 Asp6} )abbrev domain ASP6 Asp6 ++ Author: Mike Dewar and Godfrey Nolan and Grant Keady ++ Date Created: Mar 1993 @@ -7852,17 +7853,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP6.dotabb} "ASP6" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP6"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP6" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP7 Asp7} -<>= +\begin{chunk}{Asp7.input} )set break resume )sys rm -f Asp7.output )spool Asp7.output @@ -7899,8 +7900,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp7.help} ==================================================================== Asp7 examples ==================================================================== @@ -7908,7 +7909,7 @@ See Also: o )show Asp7 -@ +\end{chunk} \pagehead{Asp7}{ASP7} \pagepic{ps/v103asp7.ps}{ASP7}{1.00} @@ -7921,7 +7922,7 @@ \cross{ASP7}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP7 Asp7} )abbrev domain ASP7 Asp7 ++ Author: Mike Dewar and Godfrey Nolan and Grant Keady ++ Date Created: Mar 1993 @@ -8050,17 +8051,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP7.dotabb} "ASP7" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP7"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP7" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP73 Asp73} -<>= +\begin{chunk}{Asp73.input} )set break resume )sys rm -f Asp73.output )spool Asp73.output @@ -8097,8 +8098,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp73.help} ==================================================================== Asp73 examples ==================================================================== @@ -8106,7 +8107,7 @@ See Also: o )show Asp73 -@ +\end{chunk} \pagehead{Asp73}{ASP73} \pagepic{ps/v103asp73.ps}{ASP73}{1.00} @@ -8119,7 +8120,7 @@ \cross{ASP73}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP73 Asp73} )abbrev domain ASP73 Asp73 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -8260,17 +8261,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP73.dotabb} "ASP73" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP73"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ASP73" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP74 Asp74} -<>= +\begin{chunk}{Asp74.input} )set break resume )sys rm -f Asp74.output )spool Asp74.output @@ -8307,8 +8308,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp74.help} ==================================================================== Asp74 examples ==================================================================== @@ -8316,7 +8317,7 @@ See Also: o )show Asp74 -@ +\end{chunk} \pagehead{Asp74}{ASP74} \pagepic{ps/v103asp74.ps}{ASP74}{1.00} @@ -8329,7 +8330,7 @@ \cross{ASP74}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP74 Asp74} )abbrev domain ASP74 Asp74 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Oct 1993 @@ -8512,17 +8513,17 @@ v case "failed" => "failed" (v::MAT FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP74.dotabb} "ASP74" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP74"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP74" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP77 Asp77} -<>= +\begin{chunk}{Asp77.input} )set break resume )sys rm -f Asp77.output )spool Asp77.output @@ -8559,8 +8560,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp77.help} ==================================================================== Asp77 examples ==================================================================== @@ -8568,7 +8569,7 @@ See Also: o )show Asp77 -@ +\end{chunk} \pagehead{Asp77}{ASP77} \pagepic{ps/v103asp77.ps}{ASP77}{1.00} @@ -8581,7 +8582,7 @@ \cross{ASP77}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP77 Asp77} )abbrev domain ASP77 Asp77 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -8729,17 +8730,17 @@ v case "failed" => "failed" (v::MAT FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP77.dotabb} "ASP77" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP77"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP77" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP78 Asp78} -<>= +\begin{chunk}{Asp78.input} )set break resume )sys rm -f Asp78.output )spool Asp78.output @@ -8776,8 +8777,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp78.help} ==================================================================== Asp78 examples ==================================================================== @@ -8785,7 +8786,7 @@ See Also: o )show Asp78 -@ +\end{chunk} \pagehead{Asp78}{ASP78} \pagepic{ps/v103asp78.ps}{ASP78}{1.00} @@ -8798,7 +8799,7 @@ \cross{ASP78}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP78 Asp78} )abbrev domain ASP78 Asp78 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -8921,17 +8922,17 @@ v case "failed" => "failed" (v::VEC FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP78.dotabb} "ASP78" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP78"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP78" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP8 Asp8} -<>= +\begin{chunk}{Asp8.input} )set break resume )sys rm -f Asp8.output )spool Asp8.output @@ -8956,8 +8957,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp8.help} ==================================================================== Asp8 examples ==================================================================== @@ -8965,7 +8966,7 @@ See Also: o )show Asp8 -@ +\end{chunk} \pagehead{Asp8}{ASP8} \pagepic{ps/v103asp8.ps}{ASP8}{1.00} @@ -8976,7 +8977,7 @@ \cross{ASP8}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain ASP8 Asp8} )abbrev domain ASP8 Asp8 ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: 11 February 1994 @@ -9101,17 +9102,17 @@ code := [assign1, assign2, loop, endCase]$List(FC) ([locals,code]$RSFC)::% -@ -<>= +\end{chunk} +\begin{chunk}{ASP8.dotabb} "ASP8" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP8"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP8" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP80 Asp80} -<>= +\begin{chunk}{Asp80.input} )set break resume )sys rm -f Asp80.output )spool Asp80.output @@ -9148,8 +9149,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp80.help} ==================================================================== Asp80 examples ==================================================================== @@ -9157,7 +9158,7 @@ See Also: o )show Asp80 -@ +\end{chunk} \pagehead{Asp80}{ASP80} \pagepic{ps/v103asp80.ps}{ASP80}{1.00} @@ -9170,7 +9171,7 @@ \cross{ASP80}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP80 Asp80} )abbrev domain ASP80 Asp80 ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: Oct 1993 @@ -9316,17 +9317,17 @@ v case "failed" => "failed" (v::MAT FEXPR)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ASP80.dotabb} "ASP80" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP80"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ASP80" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ASP9 Asp9} -<>= +\begin{chunk}{Asp9.input} )set break resume )sys rm -f Asp9.output )spool Asp9.output @@ -9361,8 +9362,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Asp9.help} ==================================================================== Asp9 examples ==================================================================== @@ -9370,7 +9371,7 @@ See Also: o )show Asp9 -@ +\end{chunk} \pagehead{Asp9}{ASP9} \pagepic{ps/v103asp9.ps}{ASP9}{1.00} @@ -9383,7 +9384,7 @@ \cross{ASP9}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{domain ASP9 Asp9} )abbrev domain ASP9 Asp9 ++ Author: Mike Dewar, Grant Keady and Godfrey Nolan ++ Date Created: Mar 1993 @@ -9507,17 +9508,17 @@ outputAsFortran(u)$Rep p => restorePrecision()$NAGLinkSupportPackage -@ -<>= +\end{chunk} +\begin{chunk}{ASP9.dotabb} "ASP9" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ASP9"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ASP9" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain JORDAN AssociatedJordanAlgebra} -<>= +\begin{chunk}{AssociatedJordanAlgebra.input} )set break resume )sys rm -f AssociatedJordanAlgebra.output )spool AssociatedJordanAlgebra.output @@ -9617,8 +9618,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AssociatedJordanAlgebra.help} ==================================================================== AssociatedJordanAlgebra examples ==================================================================== @@ -9626,7 +9627,7 @@ See Also: o )show AssociatedJordanAlgebra -@ +\end{chunk} \pagehead{AssociatedJordanAlgebra}{JORDAN} \pagepic{ps/v103associatedjordanalgebra.ps}{JORDAN}{1.00} @@ -9708,7 +9709,7 @@ \cross{JORDAN}{?.?} \end{tabular} -<>= +\begin{chunk}{domain JORDAN AssociatedJordanAlgebra} )abbrev domain JORDAN AssociatedJordanAlgebra ++ Author: J. Grabmeier ++ Date Created: 14 June 1991 @@ -9766,17 +9767,17 @@ coerce(a:A):% == a :: % (a:%) ** (n:PositiveInteger) == a -@ -<>= +\end{chunk} +\begin{chunk}{JORDAN.dotabb} "JORDAN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=JORDAN"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "JORDAN" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LIE AssociatedLieAlgebra} -<>= +\begin{chunk}{AssociatedLieAlgebra.input} )set break resume )sys rm -f AssociatedLieAlgebra.output )spool AssociatedLieAlgebra.output @@ -9876,8 +9877,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AssociatedLieAlgebra.help} ==================================================================== AssociatedLieAlgebra examples ==================================================================== @@ -9885,7 +9886,7 @@ See Also: o )show AssociatedLieAlgebra -@ +\end{chunk} \pagehead{AssociatedLieAlgebra}{LIE} \pagepic{ps/v103associatedliealgebra.ps}{LIE}{1.00} @@ -9969,7 +9970,7 @@ \cross{LIE}{?.?} \end{tabular} -<>= +\begin{chunk}{domain LIE AssociatedLieAlgebra} )abbrev domain LIE AssociatedLieAlgebra ++ Author: J. Grabmeier ++ Date Created: 07 March 1991 @@ -10023,17 +10024,17 @@ n = 1 => a 0 -@ -<>= +\end{chunk} +\begin{chunk}{LIE.dotabb} "LIE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LIE"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "LIE" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ALIST AssociationList} -<>= +\begin{chunk}{AssociationList.input} )set break resume )sys rm -f AssociationList.output )spool AssociationList.output @@ -10133,8 +10134,8 @@ --E 10 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AssociationList.help} ==================================================================== AssociationList examples ==================================================================== @@ -10220,7 +10221,7 @@ o )help List o )show AssociationList -@ +\end{chunk} \pagehead{AssociationList}{ALIST} \pagepic{ps/v103associationlist.ps}{ALIST}{1.00} {\bf See}\\ @@ -10340,7 +10341,7 @@ \cross{ALIST}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain ALIST AssociationList} )abbrev domain ALIST AssociationList ++ Author: Mark Botch ++ Date Created: @@ -10421,17 +10422,17 @@ setrest_!(prev, rest curr) first(curr).entry -@ -<>= +\end{chunk} +\begin{chunk}{ALIST.dotabb} "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "ALIST" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ATTRBUT AttributeButtons} -<>= +\begin{chunk}{AttributeButtons.input} )set break resume )sys rm -f AttributeButtons.output )spool AttributeButtons.output @@ -10462,8 +10463,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AttributeButtons.help} ==================================================================== AttributeButtons examples ==================================================================== @@ -10471,7 +10472,7 @@ See Also: o )show AttributeButtons -@ +\end{chunk} \pagehead{AttributeButtons}{ATTRBUT} \pagepic{ps/v103attributebuttons.ps}{ATTRBUT}{1.00} @@ -10491,7 +10492,7 @@ \cross{ATTRBUT}{?=?} \end{tabular} -<>= +\begin{chunk}{domain ATTRBUT AttributeButtons} )abbrev domain ATTRBUT AttributeButtons ++ Author: Brian Dupee ++ Date Created: April 1996 @@ -10702,17 +10703,17 @@ error("getButtonValue","attribute name " attributeName " not found for routine " routineName)$ErrorFunctions -@ -<>= +\end{chunk} +\begin{chunk}{ATTRBUT.dotabb} "ATTRBUT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ATTRBUT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ATTRBUT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain AUTOMOR Automorphism} -<>= +\begin{chunk}{Automorphism.input} )set break resume )sys rm -f Automorphism.output )spool Automorphism.output @@ -10747,8 +10748,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Automorphism.help} ==================================================================== Automorphism examples ==================================================================== @@ -10756,7 +10757,7 @@ See Also: o )show Automorphism -@ +\end{chunk} \pagehead{Automorphism}{AUTOMOR} \pagepic{ps/v103automorphism.ps}{AUTOMOR}{1.00} @@ -10786,7 +10787,7 @@ \cross{AUTOMOR}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain AUTOMOR Automorphism} )abbrev domain AUTOMOR Automorphism ++ Author: Manuel Bronstein ++ Date Created: 31 January 1994 @@ -10843,19 +10844,19 @@ (v1:R):R +-> (inv g)(inv f) v1, i2, r1) -@ -<>= +\end{chunk} +\begin{chunk}{AUTOMOR.dotabb} "AUTOMOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AUTOMOR"] "GROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=GROUP"] "AUTOMOR" -> "GROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter B} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BBTREE BalancedBinaryTree} -<>= +\begin{chunk}{BalancedBinaryTree.input} )set break resume )sys rm -f BalancedBinaryTree.output )spool BalancedBinaryTree.output @@ -10892,8 +10893,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BalancedBinaryTree.help} ==================================================================== BalancedBinaryTree examples ==================================================================== @@ -10995,7 +10996,7 @@ See Also: o )show BalancedBinaryTree -@ +\end{chunk} \pagehead{BalancedBinaryTree}{BBTREE} \pagepic{ps/v103balancedbinarytree.ps}{BBTREE}{1.00} {\bf See}\\ @@ -11056,7 +11057,7 @@ \cross{BBTREE}{?.value} &&& \end{tabular} -<>= +\begin{chunk}{domain BBTREE BalancedBinaryTree} )abbrev domain BBTREE BalancedBinaryTree ++ Description: ++ \spadtype{BalancedBinaryTree(S)} is the domain of balanced @@ -11210,17 +11211,17 @@ mapDown_!(x.right, u.2, fn) x -@ -<>= +\end{chunk} +\begin{chunk}{BBTREE.dotabb} "BBTREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BBTREE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "BBTREE" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BPADIC BalancedPAdicInteger} -<>= +\begin{chunk}{BalancedPAdicInteger.input} )set break resume )sys rm -f BalancedPAdicInteger.output )spool BalancedPAdicInteger.output @@ -11278,8 +11279,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BalancedPAdicInteger.help} ==================================================================== BalancedPAdicInteger examples ==================================================================== @@ -11287,7 +11288,7 @@ See Also: o )show BalancedPAdicInteger -@ +\end{chunk} \pagehead{BalancedPAdicInteger}{BPADIC} \pagepic{ps/v103balancedpadicinteger.ps}{BPADIC}{1.00} @@ -11348,7 +11349,7 @@ \cross{BPADIC}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain BPADIC BalancedPAdicInteger} )abbrev domain BPADIC BalancedPAdicInteger ++ Author: Clifton J. Williamson ++ Date Created: 15 May 1990 @@ -11366,17 +11367,17 @@ BalancedPAdicInteger(p:Integer) == InnerPAdicInteger(p,false$Boolean) -@ -<>= +\end{chunk} +\begin{chunk}{BPADIC.dotabb} "BPADIC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BPADIC"] "PADICCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PADICCT"] "BPADIC" -> "PADICCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BPADICRT BalancedPAdicRational} -<>= +\begin{chunk}{BalancedPAdicRational.input} )set break resume )sys rm -f BalancedPAdicRational.output )spool BalancedPAdicRational.output @@ -11510,8 +11511,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BalancedPAdicRational.help} ==================================================================== BalancedPAdicRational examples ==================================================================== @@ -11519,7 +11520,7 @@ See Also: o )show BalancedPAdicRational -@ +\end{chunk} \pagehead{BalancedPAdicRational}{BPADICRT} \pagepic{ps/v103balancedpadicrational.ps}{BPADICRT}{1.00} @@ -11616,7 +11617,7 @@ \cross{BPADICRT}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain BPADICRT BalancedPAdicRational} )abbrev domain BPADICRT BalancedPAdicRational ++ Author: Clifton J. Williamson ++ Date Created: 15 May 1990 @@ -11636,17 +11637,17 @@ BalancedPAdicRational(p:Integer) == PAdicRationalConstructor(p,BalancedPAdicInteger p) -@ -<>= +\end{chunk} +\begin{chunk}{BPADICRT.dotabb} "BPADICRT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BPADICRT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "BPADICRT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BFUNCT BasicFunctions} -<>= +\begin{chunk}{BasicFunctions.input} )set break resume )sys rm -f BasicFunctions.output )spool BasicFunctions.output @@ -11671,8 +11672,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BasicFunctions.help} ==================================================================== BasicFunctions examples ==================================================================== @@ -11680,7 +11681,7 @@ See Also: o )show BasicFunctions -@ +\end{chunk} \pagehead{BasicFunctions}{BFUNCT} \pagepic{ps/v103basicfunctions.ps}{BFUNCT}{1.00} @@ -11696,7 +11697,7 @@ \cross{BFUNCT}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain BFUNCT BasicFunctions} )abbrev domain BFUNCT BasicFunctions ++ Author: Brian Dupee ++ Date Created: August 1994 @@ -11762,17 +11763,17 @@ bfEntry(k:Symbol):RS == qelt(bf(),k)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{BFUNCT.dotabb} "BFUNCT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BFUNCT"] "FIELD-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FIELD"] "BFUNCT" -> "FIELD-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BOP BasicOperator} -<>= +\begin{chunk}{BasicOperator.input} )set break resume )sys rm -f BasicOperator.output )spool BasicOperator.output @@ -11930,8 +11931,8 @@ --E 18 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BasicOperator.help} ==================================================================== BasicOperator examples ==================================================================== @@ -12075,7 +12076,7 @@ o )help Kernel o )show BasicOperator -@ +\end{chunk} \pagehead{BasicOperator}{BOP} \pagepic{ps/v103basicoperator.ps}{BOP}{1.00} @@ -12119,7 +12120,7 @@ \cross{BOP}{?$>=$?} &&&& \end{tabular} -<>= +\begin{chunk}{domain BOP BasicOperator} )abbrev domain BOP BasicOperator ++ Author: Manuel Bronstein ++ Date Created: 22 March 1988 @@ -12299,17 +12300,515 @@ not(((func::None) pretend (($, $) -> Boolean)) (op1, op2)) false -@ -<>= +\end{chunk} +\begin{chunk}{BOP.dotabb} "BOP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BOP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "BOP" -> "ALIST" -@ +\end{chunk} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{domain BSD BasicStochasticDifferential} + +\begin{chunk}{BasicStochasticDifferential.input} +)set break resume +)sys rm -f BasicStochasticDifferential.output +)spool BasicStochasticDifferential.output +)set message test on +)set message auto off +)clear all + +--S 1 of 30 +print copyBSD() +--R +--R [] +--R Type: Void +--E 1 + +--S 2 of 30 +print copyIto() +--R +--R table() +--R Type: Void +--E 2 + +--S 3 of 30 +dX:=introduce!(X,dX) -- dX is a new stochastic differential +--R +--R +--R (3) dX +--R Type: Union(BasicStochasticDifferential,...) +--E 3 + +--S 4 of 30 +print copyBSD() +--R +--R [dX] +--R Type: Void +--E 4 + +--S 5 of 30 +print copyIto() +--R +--R table(X= dX) +--R Type: Void +--E 5 + +--S 6 of 30 +getSmgl(dX) +--R +--R +--R (6) X +--R Type: Union(Symbol,...) +--E 6 + +--S 7 of 30 +print dX +--R +--R dX +--R Type: Void +--E 7 + +--S 8 of 30 +print domainOf(dX) +--R +--R BasicStochasticDifferential() +--R Type: Void +--E 8 + +--S 9 of 30 +print d X +--R +--R dX +--R Type: Void +--E 9 + +--S 10 of 30 +print ((d$BSD) X) +--R +--R dX +--R Type: Void +--E 10 + +--S 11 of 30 +print domainOf((d$BSD) X) +--R +--R BasicStochasticDifferential() +--R Type: Void +--E 11 + +--S 12 of 30 +introduce!(t,dt) -- dt is a new stochastic differential +--R +--R +--R (12) dt +--R Type: Union(BasicStochasticDifferential,...) +--E 12 + +--S 13 of 30 +print copyBSD() +--R +--R [dX,dt] +--R Type: Void +--E 13 + +--S 14 of 30 +print copyIto() +--R +--R table(t= dt,X= dX) +--R Type: Void +--E 14 + +--S 15 of 30 +introduce!(t,dt) -- fails (can't repeat an introduction!) +--R +--R +--R (15) "failed" +--R Type: Union("failed",...) +--E 15 + +--S 16 of 30 +print copyBSD() +--R +--R [dX,dt] +--R Type: Void +--E 16 + +--S 17 of 30 +print copyIto() +--R +--R table(t= dt,X= dX) +--R Type: Void +--E 17 + +--S 18 of 30 +'dZ::BSD -- can fail +--R +--R dZ is not a stochastic differential +--R +--RDaly Bug +--R >> Error detected within library code: +--R above causes failure in convert$BSD +--R +--R Continuing to read the file... +--R +--E 18 + +--S 19 of 30 +dZ::BSD -- fails +--R +--R dZ is not a stochastic differential +--R +--RDaly Bug +--R >> Error detected within library code: +--R above causes failure in convert$BSD +--R +--R Continuing to read the file... +--R +--E 19 + +--S 20 of 30 +string(dY)::BSD -- fails +--R +--R +--RDaly Bug +--R Cannot convert from type String to BasicStochasticDifferential for +--R value +--R "dY" +--R +--E 20 + +--S 21 of 30 +print domainOf(dt) +--R +--R Variable(dt) +--R Type: Void +--E 21 + +--S 22 of 30 +dt::BSD -- succeeds! +--R +--R +--R (19) dt +--R Type: BasicStochasticDifferential +--E 22 + +--S 23 of 30 +getSmgl(dt::BSD) +--R +--R +--R (20) t +--R Type: Union(Symbol,...) +--E 23 + +--S 24 of 30 +dX::Symbol -- succeeds +--R +--R +--R (21) dX +--R Type: Symbol +--E 24 + +--S 25 of 30 +string(dX) -- fails +--R +--R There are 3 exposed and 1 unexposed library operations named string +--R having 1 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op string +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R string with argument type(s) +--R BasicStochasticDifferential +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 25 + +--S 26 of 30 +string(dX::Symbol) -- succeeds +--R +--R +--R (22) "dX" +--R Type: String +--E 26 + +--S 27 of 30 +[introduce!(A[i],dA[i]) for i in 1..2] +--R +--R +--R (23) [dA ,dA ] +--R 1 2 +--R Type: List Union(BasicStochasticDifferential,"failed") +--E 27 + +--S 28 of 30 +print copyBSD() +--R +--R [dA ,dA ,dX,dt] +--R 1 2 +--R Type: Void +--E 28 + +--S 29 of 30 +print copyIto() +--R +--R table(A = dA ,A = dA ,t= dt,X= dX) +--R 2 2 1 1 +--R Type: Void +--E 29 + +--S 30 of 30 +[d A[i] for i in 1..2] +--R +--R +--R (26) [dA ,dA ] +--R 1 2 +--R Type: List Union(BasicStochasticDifferential,Integer) +--E 30 + + +)spool +)lisp (bye) +\end{chunk} +\begin{chunk}{BasicStochasticDifferential.help} +==================================================================== +BasicStochasticDifferential examples +==================================================================== + +Based on Symbol: a domain of symbols representing basic stochastic +differentials, used in StochasticDifferential(R) in the underlying +sparse multivariate polynomial representation. + +We create new BSD only by coercion from Symbol using a special +function introduce! first of all to add to a private set SDset. We +allow a separate function convertIfCan which will check whether the +argument has previously been declared as a BSD. + +The copyBSD() returns setBSD as a list of BSD. +Initially the BSD table of symbols is empty: + print copyBSD() + [] + +as is the Ito table. The copyIto() returns the table relating +semimartingales to basic stochastic differentials. + print copyIto() + table() + +We introduce a new stochastic differential: + dX:=introduce!(X,dX) -- dX is a new stochastic differential + dX + +and now it is in the BSD table of symbols: + print copyBSD() + [dX] + +and the Ito table: + print copyIto() + table(X= dX) + + +The getSmgl(bsd) returns the semimartingale S related to the basic +stochastic differential bsd by introduce!: + getSmgl(dX) + X + +Note that the dX symbol is of type BasicStochasticDifferential: + print domainOf(dX) + BasicStochasticDifferential() + +The d function, d(X) returns dX if tableIto(X)=dX otherwise 0: + print d X + dX + +and we can specify the domain: + print ((d$BSD) X) + dX + +which clearly is of domain BasicStochasticDifferential + print domainOf((d$BSD) X) + BasicStochasticDifferential() + +The introduce!(X,dX) returns dX as BSD if it isn't already in BSD + introduce!(t,dt) -- dt is a new stochastic differential + dt + +Now we can see that dt is in the BSD table: + print copyBSD() + [dX,dt] + +and the Ito table: + print copyIto() + table(t= dt,X= dX) + +You cannot repeat an introduce! for an existing entry: + introduce!(t,dt) + "failed" + +Regular symbols can be added, especially with subscripts: + [introduce!(A[i],dA[i]) for i in 1..2] + [dA ,dA ] + 1 2 + +And we can see them in the BSD table: + print copyBSD() + [dA ,dA ,dX,dt] + 1 2 + +and the Ito table: + print copyIto() + table(A = dA ,A = dA ,t= dt,X= dX) + 2 2 1 1 + +The d function can extract these symbols: + [d A[i] for i in 1..2] + [dA ,dA ] + 1 2 + +See Also: +o )show BasicStochasticDifferential + +\end{chunk} +\pagehead{BasicStochasticDifferential}{BSD} +\pagepic{ps/v103basicstochasticdifferential.ps}{BSD}{1.00} +{\bf See}\\ +\pageto{StochasticDifferential}{SD} + +{\bf Exports:}\\ +\begin{tabular}{llll} +\cross{BSD}{coerce} & +\cross{BSD}{convert} & +\cross{BSD}{convertIfCan} & +\cross{BSD}{copyBSD} \\ +\cross{BSD}{copyIto} & +\cross{BSD}{d} & +\cross{BSD}{getSmgl} & +\cross{BSD}{hash} \\ +\cross{BSD}{introduce!} & +\cross{BSD}{latex} & +\cross{BSD}{max} & +\cross{BSD}{min} \\ +\cross{BSD}{?\~{}=?} & +\cross{BSD}{?$<$?} & +\cross{BSD}{?$<=$?} & +\cross{BSD}{?$=$?} \\ +\cross{BSD}{?$>$?} & +\cross{BSD}{?$>=$?} +\end{tabular} + +\begin{chunk}{domain BSD BasicStochasticDifferential} +)abbrev domain BSD BasicStochasticDifferential +++ Author: Wilfrid S. Kendall +++ Date Last Updated: July 26, 1999 +++ Related Domains: StochasticDifferential(R) +++ Keywords: stochastic differential, semimartingale. +++ References: Ito (1975), Kendall (1991a,b; 1993a,b; 1999a,b). +++ Description: +++ Based on Symbol: a domain of symbols representing basic stochastic +++ differentials, used in StochasticDifferential(R) in the underlying +++ sparse multivariate polynomial representation. +++ +++ We create new BSD only by coercion from Symbol using a special +++ function introduce! first of all to add to a private set SDset. +++ We allow a separate function convertIfCan which will check whether the +++ argument has previously been declared as a BSD. + +BasicStochasticDifferential(): Category == Implementation where + INT ==> Integer + OF ==> OutputForm + Category ==> OrderedSet with + ConvertibleTo(Symbol) + + convertIfCan: Symbol -> Union(%, "failed") + ++ convertIfCan(ds) transforms \axiom{dX} into a \axiom{BSD} + ++ if possible (if \axiom{introduce(X,dX)} has + ++ been invoked previously). + + convert: Symbol -> % + ++ convert(dX) transforms \axiom{dX} into a \axiom{BSD} + ++ if possible and otherwise produces an error. + + introduce!: (Symbol,Symbol) -> Union(%, "failed") + ++ introduce!(X,dX) returns \axiom{dX} as \axiom{BSD} if it + ++ isn't already in \axiom{BSD} + ++ + ++X introduce!(t,dt) -- dt is a new stochastic differential + ++X copyBSD() + + d: Symbol -> Union(%,INT) + ++ d(X) returns \axiom{dX} if \axiom{tableIto(X)=dX} + ++ and otherwise returns \axiom{0} + + copyBSD:() -> List % + ++ copyBSD() returns \axiom{setBSD} as a list of \axiom{BSD}. + ++ + ++X introduce!(t,dt) -- dt is a new stochastic differential + ++X copyBSD() + + copyIto:() -> Table(Symbol,%) + ++ copyIto() returns the table relating semimartingales + ++ to basic stochastic differentials. + ++ + ++X introduce!(t,dt) -- dt is a new stochastic differential + ++X copyIto() + + getSmgl: % -> Union(Symbol,"failed") + ++ getSmgl(bsd) returns the semimartingale \axiom{S} related + ++ to the basic stochastic differential \axiom{bsd} by + ++ \axiom{introduce!} + ++ + ++X introduce!(t,dt) -- dt is a new stochastic differential + ++X getSmgl(dt::BSD) + + Implementation ==> Symbol add + + Rep := Symbol + + setBSD := empty()$Set(Symbol) + tableIto:Table(Symbol,%) := table() + tableBSD:Table(%,Symbol) := table() + + convertIfCan(ds:Symbol):Union(%,"failed") == + not(member?(ds,setBSD)) => "failed" + ds::% + + convert(ds:Symbol):% == + (du:=convertIfCan(ds)) + case "failed" => + print(hconcat(ds::Symbol::OF, + message(" is not a stochastic differential")$OF)) + error "above causes failure in convert$BSD" + du + + introduce!(X,dX) == + member?(dX,setBSD) => "failed" + insert!(dX,setBSD) + tableBSD(dX::%) := X + tableIto(X) := dX::% + + d(X) == + search(X,tableIto) case "failed" => 0::INT + tableIto(X) + + copyBSD() == [ds::% for ds in members(setBSD)] + copyIto() == tableIto + getSmgl(ds:%):Union(Symbol,"failed") == tableBSD(ds) + +\end{chunk} +\begin{chunk}{BSD.dotabb} +"BSD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BSD"] +"FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] +"BSD" -> "FSAGG" + +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BINARY BinaryExpansion} -<>= +\begin{chunk}{BinaryExpansion.input} )set break resume )sys rm -f BinaryExpansion.output )spool BinaryExpansion.output @@ -12392,8 +12891,8 @@ --E 7 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinaryExpansion.help} ==================================================================== BinaryExpansion examples ==================================================================== @@ -12470,7 +12969,7 @@ o )help HexadecimalExpansion o )show BinaryExpansion -@ +\end{chunk} \pagehead{BinaryExpansion}{BINARY} \pagepic{ps/v103binaryexpansion.ps}{BINARY}{1.00} {\bf See}\\ @@ -12562,7 +13061,7 @@ \cross{BINARY}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain BINARY BinaryExpansion} )abbrev domain BINARY BinaryExpansion ++ Author: Clifton J. Williamson ++ Date Created: April 26, 1990 @@ -12595,17 +13094,17 @@ binary r == r :: % coerce(x:%): RadixExpansion(2) == x pretend RadixExpansion(2) -@ -<>= +\end{chunk} +\begin{chunk}{BINARY.dotabb} "BINARY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BINARY"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "BINARY" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BINFILE BinaryFile} -<>= +\begin{chunk}{BinaryFile.input} )set break resume )sys rm -f BinaryFile.output )spool BinaryFile.output @@ -12636,8 +13135,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinaryFile.help} ==================================================================== BinaryFile examples ==================================================================== @@ -12645,7 +13144,7 @@ See Also: o )show BinaryFile -@ +\end{chunk} \pagehead{BinaryFile}{BINFILE} \pagepic{ps/v103binaryfile.ps}{BINFILE}{1.00} @@ -12674,7 +13173,7 @@ \cross{BINFILE}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain BINFILE BinaryFile} )abbrev domain BINFILE BinaryFile ++ Author: Barry M. Trager ++ Date Created: 1993 @@ -12778,17 +13277,17 @@ f.fileIOmode ^= "input" => error "file must be in read state" (FILE_-POSITION(f.fileState,i)$Lisp ; i) -@ -<>= +\end{chunk} +\begin{chunk}{BINFILE.dotabb} "BINFILE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BINFILE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "BINFILE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BSTREE BinarySearchTree} -<>= +\begin{chunk}{BinarySearchTree.input} )set break resume )sys rm -f BinarySearchTree.output )spool BinarySearchTree.output @@ -12892,8 +13391,8 @@ --E 12 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinarySearchTree.help} ==================================================================== BinarySearchTree examples ==================================================================== @@ -12991,7 +13490,7 @@ See Also: o )show BinarySearchTree -@ +\end{chunk} \pagehead{BinarySearchTree}{BSTREE} \pagepic{ps/v103binarysearchtree.ps}{BSTREE}{1.00} {\bf See}\\ @@ -13058,7 +13557,7 @@ \cross{BSTREE}{?.value} && \end{tabular} -<>= +\begin{chunk}{domain BSTREE BinarySearchTree} )abbrev domain BSTREE BinarySearchTree ++ Author: Mark Botch ++ Description: @@ -13122,13 +13621,13 @@ a := split(x,t) node(a.less, x, a.greater) -@ -<>= +\end{chunk} +\begin{chunk}{BSTREE.dotabb} "BSTREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BSTREE"] "BTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BTCAT"] "BSTREE" -> "BTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BTOURN BinaryTournament} @@ -13137,7 +13636,7 @@ node containing a value of type S, and a right and a left which are both BinaryTree(S) -<>= +\begin{chunk}{BinaryTournament.input} )set break resume )sys rm -f BinaryTournament.output )spool BinaryTournament.output @@ -13199,8 +13698,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinaryTournament.help} ==================================================================== BinaryTournament examples ==================================================================== @@ -13208,7 +13707,7 @@ See Also: o )show BinaryTournament -@ +\end{chunk} \pagehead{BinaryTournament}{BTOURN} \pagepic{ps/v103binarytournament.ps}{BTOURN}{1.00} @@ -13268,7 +13767,7 @@ \cross{BTOURN}{?.value} \end{tabular} -<>= +\begin{chunk}{domain BTOURN BinaryTournament} )abbrev domain BTOURN BinaryTournament ++ Author: Mark Botch ++ Description: @@ -13307,17 +13806,17 @@ setright_!(t,insert_!(x,right t)) t -@ -<>= +\end{chunk} +\begin{chunk}{BTOURN.dotabb} "BTOURN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BTOURN"] "BTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BTCAT"] "BTOURN" -> "BTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BTREE BinaryTree} -<>= +\begin{chunk}{BinaryTree.input} )set break resume )sys rm -f BinaryTree.output )spool BinaryTree.output @@ -13379,8 +13878,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BinaryTree.help} ==================================================================== BinaryTree examples ==================================================================== @@ -13388,7 +13887,7 @@ See Also: o )show BinaryTree -@ +\end{chunk} \pagehead{BinaryTree}{BTREE} \pagepic{ps/v103binarytree.ps}{BTREE}{1.00} @@ -13447,7 +13946,7 @@ \cross{BTREE}{?.value} & \end{tabular} -<>= +\begin{chunk}{domain BTREE BinaryTree} )abbrev domain BTREE BinaryTree ++ Author: Mark Botch ++ Description: @@ -13503,17 +14002,17 @@ empty? t1 => error "binaryTree:no right to set" setrest_!(t1:List Tree S,t2) -@ -<>= +\end{chunk} +\begin{chunk}{BTREE.dotabb} "BTREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BTREE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "BTREE" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BITS Bits} -<>= +\begin{chunk}{Bits.input} )set break resume )sys rm -f Bits.output )spool Bits.output @@ -13609,8 +14108,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Bits.help} ==================================================================== Bits examples ==================================================================== @@ -13618,7 +14117,7 @@ See Also: o )show Bits -@ +\end{chunk} \pagehead{Bits}{BITS} \pagepic{ps/v103bits.ps}{BITS}{1.00} @@ -13704,7 +14203,7 @@ \cross{BITS}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain BITS Bits} )abbrev domain BITS Bits ++ Author: Stephen M. Watt ++ Date Created: @@ -13722,17 +14221,17 @@ Implementation == IndexedBits(1) add bits(n,b) == new(n,b) -@ -<>= +\end{chunk} +\begin{chunk}{BITS.dotabb} "BITS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BITS"] "BTAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BTAGG"] "BITS" -> "BTAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BLHN BlowUpWithHamburgerNoether} -<>= +\begin{chunk}{BlowUpWithHamburgerNoether.input} )set break resume )sys rm -f BlowUpWithHamburgerNoether.output )spool BlowUpWithHamburgerNoether.output @@ -13762,8 +14261,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BlowUpWithHamburgerNoether.help} ==================================================================== BlowUpWithHamburgerNoether examples ==================================================================== @@ -13771,7 +14270,7 @@ See Also: o )show BlowUpWithHamburgerNoether -@ +\end{chunk} \pagehead{BlowUpWithHamburgerNoether}{BLHN} \pagepic{ps/v103blowupwithquadtrans.ps}{BLHN}{1.00} @@ -13792,7 +14291,7 @@ \cross{BLHN}{type} && \end{tabular} -<>= +\begin{chunk}{domain BLHN BlowUpWithHamburgerNoether} )abbrev domain BLHN BlowUpWithHamburgerNoether ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -13827,18 +14326,18 @@ type a == a.type coerce(c:%):OutputForm== ( (c :: Rep ) :: MetRec) :: OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{BLHN.dotabb} "BLHN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BLHN", shape=ellipse] "BLMETCT" [color="#4488FF",href="bookvol10.3.pdf#nameddest=BLMETCT"] "BLHN" -> "BLMETCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BLQT BlowUpWithQuadTrans} -<>= +\begin{chunk}{BlowUpWithQuadTrans.input} )set break resume )sys rm -f BlowUpWithQuadTrans.output )spool BlowUpWithQuadTrans.output @@ -13868,8 +14367,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BlowUpWithQuadTrans.help} ==================================================================== BlowUpWithQuadTrans examples ==================================================================== @@ -13877,7 +14376,7 @@ See Also: o )show BlowUpWithQuadTrans -@ +\end{chunk} \pagehead{BlowUpWithQuadTrans}{BLQT} \pagepic{ps/v103blowupwithquadtrans.ps}{BLQT}{1.00} @@ -13898,7 +14397,7 @@ \cross{BLQT}{type} && \end{tabular} -<>= +\begin{chunk}{domain BLQT BlowUpWithQuadTrans} )abbrev domain BLQT BlowUpWithQuadTrans ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -13934,18 +14433,18 @@ oo: outRec := [ excepCoord(c) , chartCoord(c) ]$outRec oo :: OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{BLQT.dotabb} "BLQT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BLQT", shape=ellipse] "BLMETCT" [color="#4488FF",href="bookvol10.3.pdf#nameddest=BLMETCT"] "BLQT" -> "BLMETCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain BOOLEAN Boolean} -<>= +\begin{chunk}{Boolean.input} )set break resume )sys rm -f Boolean.output )spool Boolean.output @@ -13981,8 +14480,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Boolean.help} ==================================================================== Boolean examples ==================================================================== @@ -13990,7 +14489,7 @@ See Also: o )show Boolean -@ +\end{chunk} \pagehead{Boolean}{BOOLEAN} \pagepic{ps/v103boolean.ps}{BOOLEAN}{1.00} @@ -14033,7 +14532,7 @@ \cross{BOOLEAN}{?or?} \end{tabular} -<>= +\begin{chunk}{domain BOOLEAN Boolean} )abbrev domain BOOLEAN Boolean ++ Author: Stephen M. Watt ++ Date Created: @@ -14114,20 +14613,20 @@ x pretend Boolean => message "true" message "false" -@ -<>= +\end{chunk} +\begin{chunk}{BOOLEAN.dotabb} "BOOLEAN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BOOLEAN", shape=ellipse] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "BOOLEAN" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter C} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CARD CardinalNumber} -<>= +\begin{chunk}{CardinalNumber.input} )set break resume )sys rm -f CardinalNumber.output )spool CardinalNumber.output @@ -14295,8 +14794,8 @@ --E 20 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CardinalNumber.help} ==================================================================== CardinalNumber examples ==================================================================== @@ -14444,7 +14943,7 @@ See Also: o )show CardinalNumber -@ +\end{chunk} \pagehead{CardinalNumber}{CARD} \pagepic{ps/v103cardinalnumber.ps}{CARD}{1.00} @@ -14481,7 +14980,7 @@ \cross{CARD}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain CARD CardinalNumber} )abbrev domain CARD CardinalNumber ++ Author: S.M. Watt ++ Date Created: June 1986 @@ -14666,17 +15165,17 @@ generalizedContinuumHypothesisAssumed?() == GCHypothesis() generalizedContinuumHypothesisAssumed b == (GCHypothesis() := b) -@ -<>= +\end{chunk} +\begin{chunk}{CARD.dotabb} "CARD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CARD"] "ALGEBRA-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALGEBRA"] "CARD" -> "ALGEBRA-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CARTEN CartesianTensor} -<>= +\begin{chunk}{CartesianTensor.input} )set break resume )sys rm -f CartesianTensor.output )spool CartesianTensor.output @@ -15146,8 +15645,8 @@ --E 48 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CartesianTensor.help} ==================================================================== CartesianTensor examples ==================================================================== @@ -15623,7 +16122,7 @@ See Also o )show CartesianTensor -@ +\end{chunk} \pagehead{CartesianTensor}{CARTEN} \pagepic{ps/v103cartesiantensor.ps}{CARTEN}{1.00} @@ -15657,7 +16156,7 @@ \cross{CARTEN}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain CARTEN CartesianTensor} )abbrev domain CARTEN CartesianTensor ++ Author: Stephen M. Watt ++ Date Created: December 1986 @@ -16262,17 +16761,17 @@ set_!(z, pi, get(x,i)) z -@ -<>= +\end{chunk} +\begin{chunk}{CARTEN.dotabb} "CARTEN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CARTEN"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "CARTEN" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CHAR Character} -<>= +\begin{chunk}{Character.input} )set break resume )sys rm -f Character.output )spool Character.output @@ -16384,8 +16883,8 @@ --E 13 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Character.help} ==================================================================== Character examples ==================================================================== @@ -16473,7 +16972,7 @@ o )help String o )show Character -@ +\end{chunk} \pagehead{Character}{CHAR} \pagepic{ps/v103character.ps}{CHAR}{1.00} {\bf See}\\ @@ -16513,7 +17012,7 @@ \cross{CHAR}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain CHAR Character} )abbrev domain CHAR Character ++ Author: Stephen M. Watt ++ Date Created: July 1986 @@ -16654,17 +17153,17 @@ lowerCase c == QENUM(PNAME(DOWNCASE(CODE_-CHAR(ord c)$Lisp)$Lisp)$Lisp,0$Lisp)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{CHAR.dotabb} "CHAR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CHAR",shape=ellipse] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "CHAR" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CCLASS CharacterClass} -<>= +\begin{chunk}{CharacterClass.input} )set break resume )sys rm -f CharacterClass.output )spool CharacterClass.output @@ -16800,8 +17299,8 @@ --E 16 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CharacterClass.help} ==================================================================== CharacterClass examples ==================================================================== @@ -16890,7 +17389,7 @@ o )help String o )show CharacterClass -@ +\end{chunk} \pagehead{CharacterClass}{CCLASS} \pagepic{ps/v103characterclass.ps}{CCLASS}{1.00} {\bf See}\\ @@ -16972,7 +17471,7 @@ \cross{CCLASS}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain CCLASS CharacterClass} )abbrev domain CCLASS CharacterClass ++ Author: Stephen M. Watt ++ Date Created: July 1986 @@ -17085,13 +17584,13 @@ parts a == [char i for i in 0..N-1 | a.i] -@ -<>= +\end{chunk} +\begin{chunk}{CCLASS.dotabb} "CCLASS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CCLASS"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "CCLASS" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CLIF CliffordAlgebra\cite{7,12}} \subsection{Vector (linear) spaces} @@ -17276,7 +17775,7 @@ $\mathbb{R}(2^m)$ & --------$>$ & $\mathbb{R}^{4^m}$\\ & reshape & \\ \end{tabular} -<>= +\begin{chunk}{CliffordAlgebra.input} )set break resume )sys rm -f CliffordAlgebra.output )spool CliffordAlgebra.output @@ -17613,8 +18112,8 @@ --E 36 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CliffordAlgebra.help} ==================================================================== CliffordAlgebra examples ==================================================================== @@ -17894,7 +18393,7 @@ o )show CliffordAlgebra o $AXIOM/doc/src/algebra/clifford.spad -@ +\end{chunk} \pagehead{CliffordAlgebra}{CLIF} \pagepic{ps/v103cliffordalgebra.ps}{CLIF}{1.00} {\bf See}\\ @@ -17928,7 +18427,7 @@ \cross{CLIF}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain CLIF CliffordAlgebra} )abbrev domain CLIF CliffordAlgebra ++ Author: Stephen M. Watt ++ Date Created: August 1988 @@ -18131,17 +18630,17 @@ ansC := ansC + cj*monomial(1,pj) ansC -@ -<>= +\end{chunk} +\begin{chunk}{CLIF.dotabb} "CLIF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CLIF"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "CLIF" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain COLOR Color} -<>= +\begin{chunk}{Color.input} )set break resume )sys rm -f Color.output )spool Color.output @@ -18170,8 +18669,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Color.help} ==================================================================== Color examples ==================================================================== @@ -18179,7 +18678,7 @@ See Also: o )show Color -@ +\end{chunk} \pagehead{Color}{COLOR} \pagepic{ps/v103color.ps}{COLOR}{1.00} @@ -18204,7 +18703,7 @@ \cross{COLOR}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain COLOR Color} )abbrev domain COLOR Color ++ Author: Jim Wen ++ Date Created: 10 May 1989 @@ -18295,19 +18794,19 @@ hconcat ["Hue: "::OutputForm, (c.hue)::OutputForm, " Weight: "::OutputForm, (c.weight)::OutputForm] -@ -<>= +\end{chunk} +\begin{chunk}{COLOR.dotabb} "COLOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=COLOR"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "COLOR" -> "BASTYPE" "COLOR" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain COMM Commutator} -<>= +\begin{chunk}{Commutator.input} )set break resume )sys rm -f Commutator.output )spool Commutator.output @@ -18332,8 +18831,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Commutator.help} ==================================================================== Commutator examples ==================================================================== @@ -18341,7 +18840,7 @@ See Also: o )show Commutator -@ +\end{chunk} \pagehead{Commutator}{COMM} \pagepic{ps/v103commutator.ps}{COMM}{1.00} @@ -18359,7 +18858,7 @@ \cross{COMM}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain COMM Commutator} )abbrev domain COMM Commutator ++ Author : Larry Lambe ++ Date created: 30 June 1988. @@ -18400,19 +18899,19 @@ xx := x::P bracket([xx.left::O,xx.right::O])$O -@ -<>= +\end{chunk} +\begin{chunk}{COMM.dotabb} "COMM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=COMM"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "COMM" -> "BASTYPE" "COMM" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain COMPLEX Complex} -<>= +\begin{chunk}{Complex.input} )set break resume )sys rm -f Complex.output )spool Complex.output @@ -18569,8 +19068,8 @@ --E 16 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Complex.help} ==================================================================== Complex examples ==================================================================== @@ -18691,7 +19190,7 @@ See Also o )show Complex -@ +\end{chunk} \pagehead{Complex}{COMPLEX} \pagepic{ps/v103complex.ps}{COMPLEX}{1.00} @@ -18835,7 +19334,7 @@ \cross{COMPLEX}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain COMPLEX Complex} )abbrev domain COMPLEX Complex ++ Author: Mark Botch ++ Date Created: @@ -18921,16 +19420,16 @@ zero? y.imag => x exquo y.real x * conjugate(y) exquo norm(y) -@ -<>= +\end{chunk} +\begin{chunk}{COMPLEX.dotabb} "COMPLEX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=COMPLEX"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "COMPLEX" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CDFMAT ComplexDoubleFloatMatrix} -<>= +\begin{chunk}{ComplexDoubleFloatMatrix.input} )set break resume )sys rm -f ComplexDoubleFloatMatrix.output )spool ComplexDoubleFloatMatrix.output @@ -19071,9 +19570,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{ComplexDoubleFloatMatrix.help} ==================================================================== ComplexDoubleFloatMatrix examples ==================================================================== @@ -19111,7 +19610,7 @@ o )help DoubleFloat o )show ComplexDoubleFloatMatrix -@ +\end{chunk} \pagehead{ComplexDoubleFloatMatrix}{CDFMAT} \pagepic{ps/v103complexdoublefloatmatrix.eps}{CDFMAT}{1.00} @@ -19192,7 +19691,7 @@ \cross{CDFMAT}{zero} &&& \end{tabular} -<>= +\begin{chunk}{domain CDFMAT ComplexDoubleFloatMatrix} )abbrev domain CDFMAT ComplexDoubleFloatMatrix ++ Author: Waldek Hebisch ++ Description: This is a low-level domain which implements matrices @@ -19236,17 +19735,17 @@ Qsetelt2(res, i, j, a) res -@ -<>= +\end{chunk} +\begin{chunk}{CDFMAT.dotabb} "CDFMAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CDFMAT", shape=ellipse] "COMPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMPCAT"]; "CDFMAT" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CDFVEC ComplexDoubleFloatVector} -<>= +\begin{chunk}{ComplexDoubleFloatVector.input} )set break resume )sys rm -f ComplexDoubleFloatVector.output )spool ComplexDoubleFloatVector.output @@ -19395,9 +19894,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{ComplexDoubleFloatVector.help} ==================================================================== ComplexDoubleFloatVector examples ==================================================================== @@ -19430,7 +19929,7 @@ o )help DoubleFloat o )show ComplexDoubleFloatVector -@ +\end{chunk} \pagehead{ComplexDoubleFloatVector}{CDFVEC} \pagepic{ps/v103complexdoublefloatvector.eps}{CDFVEC}{1.00} @@ -19512,7 +20011,7 @@ \cross{CDFVEC}{zero} && \end{tabular} -<>= +\begin{chunk}{domain CDFVEC ComplexDoubleFloatVector} )abbrev domain CDFVEC ComplexDoubleFloatVector ++ Author: Waldek Hebisch ++ Description: This is a low-level domain which implements vectors @@ -19555,18 +20054,18 @@ for i in 0..((Qsize(x)) - 1) repeat Qsetelt1(x, i, s) x -@ -<>= +\end{chunk} +\begin{chunk}{CDFVEC.dotabb} "CDFVEC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CDFVEC", shape=ellipse] "COMPCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=COMPCAT"]; "CDFVEC" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain CONTFRAC ContinuedFraction} -<>= +\begin{chunk}{ContinuedFraction.input} )set break resume )sys rm -f ContinuedFraction.output )spool ContinuedFraction.output @@ -19808,8 +20307,8 @@ --E 22 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ContinuedFraction.help} ==================================================================== ContinuedFraction examples ==================================================================== @@ -20109,7 +20608,7 @@ o )help Stream o )show ContinuedFraction -@ +\end{chunk} \pagehead{ContinuedFraction}{CONTFRAC} \pagepic{ps/v103continuedfraction.ps}{CONTFRAC}{1.00} @@ -20172,7 +20671,7 @@ \cross{CONTFRAC}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain CONTFRAC ContinuedFraction} )abbrev domain CONTFRAC ContinuedFraction ++ Author: Stephen M. Watt ++ Date Created: January 1987 @@ -20502,19 +21001,19 @@ zero? wh => e (wh :: OUT) + e -@ -<>= +\end{chunk} +\begin{chunk}{CONTFRAC.dotabb} "CONTFRAC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CONTFRAC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "CONTFRAC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter D} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DBASE Database} -<>= +\begin{chunk}{Database.input} )set break resume )sys rm -f Database.output )spool Database.output @@ -20547,8 +21046,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Database.help} ==================================================================== Database examples ==================================================================== @@ -20556,7 +21055,7 @@ See Also: o )show Database -@ +\end{chunk} \pagehead{Database}{DBASE} \pagepic{ps/v103database.ps}{DBASE}{1.00} @@ -20579,7 +21078,7 @@ \cross{DBASE}{?.?} \end{tabular} -<>= +\begin{chunk}{domain DBASE Database} )abbrev domain DBASE Database ++ Author: Mark Botch ++ Description: @@ -20630,17 +21129,17 @@ fullDisplay(data,n,m) == for x in data for i in 1..m repeat if i >= n then fullDisplay x -@ -<>= +\end{chunk} +\begin{chunk}{DBASE.dotabb} "DBASE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DBASE"] "STRICAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=STRICAT"] "DBASE" -> "STRICAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DLIST DataList} -<>= +\begin{chunk}{DataList.input} )set break resume )sys rm -f DataList.output )spool DataList.output @@ -20773,8 +21272,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DataList.help} ==================================================================== DataList examples ==================================================================== @@ -20782,7 +21281,7 @@ See Also: o )show DataList -@ +\end{chunk} \pagehead{DataList}{DLIST} \pagepic{ps/v103datalist.ps}{DLIST}{1.00} @@ -20899,7 +21398,7 @@ \cross{DLIST}{?.value} \end{tabular} -<>= +\begin{chunk}{domain DLIST DataList} )abbrev domain DLIST DataList ++ Author: Mark Botch ++ Description: @@ -20930,17 +21429,17 @@ coerce(x:%): OutputForm == (x :: List S) :: OutputForm datalist(x:List S) == x::% -@ -<>= +\end{chunk} +\begin{chunk}{DLIST.dotabb} "DLIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DLIST"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "DLIST" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DECIMAL DecimalExpansion} -<>= +\begin{chunk}{DecimalExpansion.input} )set break resume )sys rm -f DecimalExpansion.output )spool DecimalExpansion.output @@ -21019,8 +21518,8 @@ --E 7 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DecimalExpansion.help} ==================================================================== DecimalExpansion examples ==================================================================== @@ -21090,7 +21589,7 @@ o )help HexadecimalExpansion o )show DecimalExpansion -@ +\end{chunk} \pagehead{DecimalExpansion}{DECIMAL} \pagepic{ps/v103decimalexpansion.ps}{DECIMAL}{1.00} {\bf See}\\ @@ -21182,7 +21681,7 @@ \cross{DECIMAL}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain DECIMAL DecimalExpansion} )abbrev domain DECIMAL DecimalExpansion ++ Author: Stephen M. Watt ++ Date Created: October, 1986 @@ -21214,13 +21713,13 @@ decimal r == r :: % coerce(x:%): RadixExpansion(10) == x pretend RadixExpansion(10) -@ -<>= +\end{chunk} +\begin{chunk}{DECIMAL.dotabb} "DECIMAL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DECIMAL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DECIMAL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Denavit-Hartenberg Matrices} @@ -21632,14 +22131,14 @@ The general translation operation can be represented in Axiom as -<>= +\begin{chunk}{translate} translate(x,y,z) == matrix(_ [[1,0,0,x],_ [0,1,0,y],_ [0,0,1,z],_ [0,0,0,1]]) -@ +\end{chunk} \subsection{Rotation Transformations} \noindent @@ -21664,7 +22163,7 @@ \noindent The Axiom code for ${\bf Rot(x,degree)}$ is -<>= +\begin{chunk}{rotatex} rotatex(degree) == angle := degree * pi() / 180::R cosAngle := cos(angle) @@ -21674,7 +22173,7 @@ [0, cosAngle, -sinAngle, 0], _ [0, sinAngle, cosAngle, 0], _ [0, 0, 0, 1]]) -@ +\end{chunk} $${\bf Rot(y,\theta)} = \left[\matrix{{cos\ \theta} & 0 & {sin\ \theta} & 0\cr @@ -21686,7 +22185,7 @@ \noindent The Axiom code for ${\bf Rot(y,degree)}$ is -<>= +\begin{chunk}{rotatey} rotatey(degree) == angle := degree * pi() / 180::R cosAngle := cos(angle) @@ -21696,7 +22195,7 @@ [ 0, 1, 0, 0], _ [-sinAngle, 0, cosAngle, 0], _ [ 0, 0, 0, 1]]) -@ +\end{chunk} $${\bf Rot(z,\theta)} = \left[\matrix{{cos\ \theta} & {-sin\ \theta} & 0 & 0\cr @@ -21708,7 +22207,7 @@ \noindent And the Axiom code for ${\bf Rot(z,degree)}$ is -<>= +\begin{chunk}{rotatez} rotatez(degree) == angle := degree * pi() / 180::R cosAngle := cos(angle) @@ -21718,7 +22217,7 @@ [sinAngle, cosAngle, 0, 0], _ [ 0, 0, 1, 0], _ [ 0, 0, 0, 1]]) -@ +\end{chunk} \noindent Let us interpret these rotations by means of an example. Given a point ${\bf u} = 7{\bf i} + 3{\bf j} + 2{\bf k}$ what is the effect of @@ -22617,14 +23116,14 @@ The Axiom code to perform this scale change is: -<>= +\begin{chunk}{scale} scale(scalex, scaley, scalez) == matrix(_ [[scalex, 0 ,0 , 0], _ [0 , scaley ,0 , 0], _ [0 , 0, scalez, 0], _ [0 , 0, 0 , 1]]) -@ +\end{chunk} \noindent The transform {\bf S} where @@ -22894,7 +23393,7 @@ \cross{DHMATRIX}{?-?} &&&& \end{tabular} -<>= +\begin{chunk}{domain DHMATRIX DenavitHartenbergMatrix} )abbrev domain DHMATRIX DenavitHartenbergMatrix @@ -22973,27 +23472,27 @@ v := d * v point ([v.1, v.2, v.3]$List(R)) -<> +\getchunk{rotatex} -<> +\getchunk{rotatey} -<> +\getchunk{rotatez} -<> +\getchunk{scale} -<> +\getchunk{translate} -@ -<>= +\end{chunk} +\begin{chunk}{DHMATRIX.dotabb} "DHMATRIX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DHMATRIX"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "DHMATRIX" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DEQUEUE Dequeue} -<>= +\begin{chunk}{Dequeue.input} )set break resume )sys rm -f Dequeue.output )spool Dequeue.output @@ -23548,8 +24047,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Dequeue.help} ==================================================================== Dequeue examples ==================================================================== @@ -23872,7 +24371,7 @@ o )show Heap o )show BagAggregate -@ +\end{chunk} \pagehead{Dequeue}{DEQUEUE} \pagepic{ps/v103dequeue.ps}{DEQUEUE}{1.00} {\bf See}\\ @@ -23931,7 +24430,7 @@ \cross{DEQUEUE}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain DEQUEUE Dequeue} )abbrev domain DEQUEUE Dequeue ++ Author: Michael Monagan and Stephen Watt ++ Date Created:June 86 and July 87 @@ -24191,19 +24690,19 @@ top d == if empty? d then error "empty dequeue" else first deref d reverse! d == (setref(d,reverse deref d); d) -@ -<>= +\end{chunk} +\begin{chunk}{DEQUEUE.dotabb} "DEQUEUE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DEQUEUE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "DEQUEUE" -> "FLAGG-" "DEQUEUE" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DERHAM DeRhamComplex} -<>= +\begin{chunk}{DeRhamComplex.input} )set break resume )sys rm -f DeRhamComplex.output )spool DeRhamComplex.output @@ -24531,8 +25030,8 @@ --E 34 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DeRhamComplex.help} ==================================================================== DeRhamComplex examples ==================================================================== @@ -24780,7 +25279,7 @@ o )help Operator o )show DeRhamComplex -@ +\end{chunk} \pagehead{DeRhamComplex}{DERHAM} \pagepic{ps/v103derhamcomplex.ps}{DERHAM}{1.00} {\bf See}\\ @@ -24823,7 +25322,7 @@ \cross{DERHAM}{?=?} \end{tabular} -<>= +\begin{chunk}{domain DERHAM DeRhamComplex} )abbrev domain DERHAM DeRhamComplex ++ Author: Larry A. Lambe ++ Date : 01/26/91. @@ -24936,17 +25435,17 @@ null ta.rest => makeTerm(ta.first.c, ta.first.k) reduce(_+,[makeTerm(t.c,t.k) for t in ta])$L(O) -@ -<>= +\end{chunk} +\begin{chunk}{DERHAM.dotabb} "DERHAM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DERHAM"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "DERHAM" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DSTREE DesingTree} -<>= +\begin{chunk}{DesingTree.input} )set break resume )sys rm -f DesingTree.output )spool DesingTree.output @@ -25004,8 +25503,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DesingTree.help} ==================================================================== DesingTree examples ==================================================================== @@ -25013,7 +25512,7 @@ See Also: o )show DesingTree -@ +\end{chunk} \pagehead{DesingTree}{DSTREE} \pagepic{ps/v103desingtree.eps}{DSTREE}{1.00} @@ -25061,7 +25560,7 @@ \cross{DSTREE}{value} \end{tabular} -<>= +\begin{chunk}{domain DSTREE DesingTree} )abbrev domain DSTREE DesingTree ++ Authors: Gaetan Hache ++ Date Created: jan 1998 @@ -25134,17 +25633,17 @@ empty?(chtr:=children(t)) => empty()$String concat([concat(["U",encode(arb),"."]) for arb in chtr]) -@ -<>= +\end{chunk} +\begin{chunk}{DSTREE.dotabb} "DSTREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DSTREE"]; "DSTRCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DSTRCAT"] "DSTREE" -> "DSTRCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DSMP DifferentialSparseMultivariatePolynomial} -<>= +\begin{chunk}{DifferentialSparseMultivariatePolynomial.input} )set break resume )sys rm -f DifferentialSparseMultivariatePolynomial.output )spool DifferentialSparseMultivariatePolynomial.output @@ -25313,8 +25812,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DifferentialSparseMultivariatePolynomial.help} ==================================================================== DifferentialSparseMultivariatePolynomial examples ==================================================================== @@ -25322,7 +25821,7 @@ See Also: o )show DifferentialSparseMultivariatePolynomial -@ +\end{chunk} \pagehead{DifferentialSparseMultivariatePolynomial}{DSMP} \pagepic{ps/v103differentialsparsemultivariatepolynomial.ps}{DSMP}{1.00} @@ -25427,7 +25926,7 @@ \cross{DSMP}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain DSMP DifferentialSparseMultivariatePolynomial} )abbrev domain DSMP DifferentialSparseMultivariatePolynomial ++ Author: William Sit ++ Date Created: 19 July 1990 @@ -25471,17 +25970,17 @@ coerce(p:SMP):$ == map(x+->x::V::$, y+->y::$, p)$PCL(IndexedExponents S, S, R, SMP, $) -@ -<>= +\end{chunk} +\begin{chunk}{DSMP.dotabb} "DSMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DSMP"] "DPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DPOLCAT"] "DSMP" -> "DPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DIRPROD DirectProduct} -<>= +\begin{chunk}{DirectProduct.input} )set break resume )sys rm -f DirectProduct.output )spool DirectProduct.output @@ -25605,8 +26104,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DirectProduct.help} ==================================================================== DirectProduct examples ==================================================================== @@ -25614,7 +26113,7 @@ See Also: o )show DirectProduct -@ +\end{chunk} \pagehead{DirectProduct}{DIRPROD} \pagepic{ps/v103directproduct.ps}{DIRPROD}{1.00} @@ -25698,7 +26197,7 @@ \cross{DIRPROD}{?.?} \end{tabular} -<>= +\begin{chunk}{domain DIRPROD DirectProduct} )abbrev domain DIRPROD DirectProduct ++ Author: Mark Botch ++ Date Created: @@ -25798,17 +26297,17 @@ --)bo $noSubsumption := false -@ -<>= +\end{chunk} +\begin{chunk}{DIRPROD.dotabb} "DIRPROD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DIRPROD"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "DIRPROD" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DPMM DirectProductMatrixModule} -<>= +\begin{chunk}{DirectProductMatrixModule.input} )set break resume )sys rm -f DirectProductMatrixModule.output )spool DirectProductMatrixModule.output @@ -25928,8 +26427,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DirectProductMatrixModule.help} ==================================================================== DirectProductMatrixModule examples ==================================================================== @@ -25937,7 +26436,7 @@ See Also: o )show DirectProductMatrixModule -@ +\end{chunk} \pagehead{DirectProductMatrixModule}{DPMM} \pagepic{ps/v103directproductmatrixmodule.ps}{DPMM}{1.00} @@ -26026,7 +26525,7 @@ \cross{DPMM}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain DPMM DirectProductMatrixModule} )abbrev domain DPMM DirectProductMatrixModule ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -26056,17 +26555,17 @@ r:R * x:$ == [r*x.i for i in 1..n] m:M * x:$ == [ +/[m(i,j)*x.j for j in 1..n] for i in 1..n] -@ -<>= +\end{chunk} +\begin{chunk}{DPMM.dotabb} "DPMM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DPMM"] "SMATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SMATCAT"] "DPMM" -> "SMATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DPMO DirectProductModule} -<>= +\begin{chunk}{DirectProductModule.input} )set break resume )sys rm -f DirectProductModule.output )spool DirectProductModule.output @@ -26186,8 +26685,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DirectProductModule.help} ==================================================================== DirectProductModule examples ==================================================================== @@ -26195,7 +26694,7 @@ See Also: o )show DirectProductModule -@ +\end{chunk} \pagehead{DirectProductModule}{DPMO} \pagepic{ps/v103directproductmodule.ps}{DPMO}{1.00} @@ -26283,7 +26782,7 @@ \cross{DPMO}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain DPMO DirectProductModule} )abbrev domain DPMO DirectProductModule ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -26312,13 +26811,13 @@ Rep := Vector(S) r:R * x:$ == [r * x.i for i in 1..n] -@ -<>= +\end{chunk} +\begin{chunk}{DPMO.dotabb} "DPMO" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DPMO"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "DPMO" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DIRRING DirichletRing} The Dirichlet Ring is the ring of arithmetical functions @@ -26338,7 +26837,7 @@ Apart from the operations inherited from those categories, we only provide some convenient coercion functions. -<>= +\begin{chunk}{DirichletRing.input} )set break resume )sys rm -f DirichletRing.output )spool DirichletRing.output @@ -26553,8 +27052,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DirichletRing.help} ==================================================================== DirichletRing examples ==================================================================== @@ -26562,7 +27061,7 @@ See Also: o )show DirichletRing -@ +\end{chunk} \pagehead{DirichletRing}{DIRRING} \pagepic{ps/v103dirichletring.ps}{DIRRING}{1.00} @@ -26599,7 +27098,7 @@ \cross{DIRRING}{zeta} && \end{tabular} -<>= +\begin{chunk}{domain DIRRING DirichletRing} )abbrev domain DIRRING DirichletRing ++ Author: Martin Rubey ++ Description: DirichletRing is the ring of arithmetical functions @@ -26731,17 +27230,17 @@ return false true -@ -<>= +\end{chunk} +\begin{chunk}{DIRRING.dotabb} "DIRRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DIRRING"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "DIRRING" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DMP DistributedMultivariatePolynomial} -<>= +\begin{chunk}{DistributedMultivariatePolynomial.input} )set break resume )sys rm -f DistributedMultivariatePolynomial.output )spool DistributedMultivariatePolynomial.output @@ -26849,9 +27348,9 @@ --E 10 )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{DistributedMultivariatePolynomial.help} ==================================================================== MultivariatePolynomial DistributedMultivariatePolynomial @@ -26950,7 +27449,7 @@ o )help GeneralDistributedMultivariatePolynomial o )show DistributedMultivariatePolynomial -@ +\end{chunk} \pagehead{DistributedMultivariatePolynomial}{DMP} \pagepic{ps/v103distributedmultivariatepolynomial.ps}{DMP}{1.00} {\bf See}\\ @@ -27045,7 +27544,7 @@ \cross{DMP}{?$>=$?} \end{tabular} -<>= +\begin{chunk}{domain DMP DistributedMultivariatePolynomial} )abbrev domain DMP DistributedMultivariatePolynomial ++ Author: Barry Trager ++ Date Created: @@ -27079,19 +27578,19 @@ private == GeneralDistributedMultivariatePolynomial(vl,R,E) -@ -<>= +\end{chunk} +\begin{chunk}{DMP.dotabb} "DMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "DMP" -> "PFECAT" "DMP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DIV Divisor} -<>= +\begin{chunk}{Divisor.input} )set break resume )sys rm -f Divisor.output )spool Divisor.output @@ -27139,8 +27638,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Divisor.help} ==================================================================== Divisor examples ==================================================================== @@ -27148,7 +27647,7 @@ See Also: o )show Divisor -@ +\end{chunk} \pagehead{Divisor}{DIV} \pagepic{ps/v103divisor.ps}{DIV}{1.00} @@ -27193,7 +27692,7 @@ \cross{DIV}{zero?} && \end{tabular} -<>= +\begin{chunk}{domain DIV Divisor} )abbrev domain DIV Divisor ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -27336,15 +27835,15 @@ degree(d:%):Integer== reduce("+",[(p.exp * degree(p.gen)) for p in d @ Rep],0$INT) -@ -<>= +\end{chunk} +\begin{chunk}{DIV.dotabb} "DIV" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DIV",shape=ellipse] "DIVCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=DIVCAT"]; "FLAGG" [color=lightblue,href="bookvol10.2.pdf#nameddest=FLAGG"]; "DIV" -> "DIVCAT" "DIV" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DFLOAT DoubleFloat} Greg Vanuxem has added some functionality to allow the user to modify @@ -27498,7 +27997,7 @@ which just returns a list of the multiple values from the {\tt integer-decode-float} function. -<>= +\begin{chunk}{DoubleFloat.input} )set break resume )sys rm -f DoubleFloat.output )spool DoubleFloat.output @@ -27614,9 +28113,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{DoubleFloat.help} ==================================================================== DoubleFloat examples ==================================================================== @@ -27730,7 +28229,7 @@ o )help Float o )show DoubleFloat -@ +\end{chunk} \pagehead{DoubleFloat}{DFLOAT} \pagepic{ps/v103doublefloat.ps}{DFLOAT}{1.00} @@ -27860,7 +28359,7 @@ \cross{DFLOAT}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain DFLOAT DoubleFloat} )abbrev domain DFLOAT DoubleFloat ++ Author: Michael Monagan ++ Date Created: @@ -28196,17 +28695,17 @@ d = 2 => sqrt(x) ** n x ** (n::% / d::%) -@ -<>= +\end{chunk} +\begin{chunk}{DFLOAT.dotabb} "DFLOAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DFLOAT", shape=ellipse] "FRAC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FRAC"] "DFLOAT" -> "FRAC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DFMAT DoubleFloatMatrix} -<>= +\begin{chunk}{DoubleFloatMatrix.input} )set break resume )sys rm -f DoubleFloatMatrix.output )spool DoubleFloatMatrix.output @@ -28345,9 +28844,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{DoubleFloatMatrix.help} ==================================================================== DoubleFloatMatrix examples ==================================================================== @@ -28386,7 +28885,7 @@ o )help DoubleFloat o )show DoubleFloatMatrix -@ +\end{chunk} \pagehead{DoubleFloatMatrix}{DFMAT} \pagepic{ps/v103doublefloatmatrix.eps}{DFMAT}{1.00} @@ -28479,7 +28978,7 @@ \cross{DFMAT}{zero} && \end{tabular} -<>= +\begin{chunk}{domain DFMAT DoubleFloatMatrix} )abbrev domain DFMAT DoubleFloatMatrix ++ Author: Waldek Hebisch ++ Description: This is a low-level domain which implements matrices @@ -28517,8 +29016,8 @@ qnew(rows, cols) == Qnew(rows, cols) new(rows, cols, a) == Qnew1(rows, cols, a) -@ -<>= +\end{chunk} +\begin{chunk}{DFMAT.dotabb} "DFMAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DFMAT", shape=ellipse] "VECTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=VECTCAT"]; @@ -28526,10 +29025,10 @@ "DFMAT" -> "VECTCAT" "DFMAT" -> "MATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DFVEC DoubleFloatVector} -<>= +\begin{chunk}{DoubleFloatVector.input} )set break resume )sys rm -f DoubleFloatVector.output )spool DoubleFloatVector.output @@ -28674,9 +29173,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{DoubleFloatVector.help} ==================================================================== DoubleFloatVector examples ==================================================================== @@ -28710,7 +29209,7 @@ o )help DoubleFloat o )show DoubleFloatVector -@ +\end{chunk} \pagehead{DoubleFloatVector}{DFVEC} \pagepic{ps/v103doublefloatvector.ps}{DFVEC}{1.00} @@ -28791,7 +29290,7 @@ \cross{DFVEC}{zero} && \end{tabular} -<>= +\begin{chunk}{domain DFVEC DoubleFloatVector} )abbrev domain DFVEC DoubleFloatVector ++ Author: Waldek Hebisch ++ Description: This is a low-level domain which implements vectors @@ -28827,18 +29326,18 @@ for i in 0..((Qsize(x)) - 1) repeat Qsetelt1(x, i, s) x -@ -<>= +\end{chunk} +\begin{chunk}{DFVEC.dotabb} "DFVEC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DFVEC", shape=ellipse] "VECTCAT" [color=lightblue,href="bookvol10.2.pdf#nameddest=VECTCAT"]; "DFVEC" -> "VECTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain DROPT DrawOption} -<>= +\begin{chunk}{DrawOption.input} )set break resume )sys rm -f DrawOption.output )spool DrawOption.output @@ -28880,8 +29379,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DrawOption.help} ==================================================================== DrawOption examples ==================================================================== @@ -28889,7 +29388,7 @@ See Also: o )show DrawOption -@ +\end{chunk} \pagehead{DrawOption}{DROPT} \pagepic{ps/v103drawoption.ps}{DROPT}{1.00} @@ -28924,7 +29423,7 @@ \cross{DROPT}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain DROPT DrawOption} )abbrev domain DROPT DrawOption ++ Author: Stephen Watt ++ Date Created: 1 March 1990 @@ -29136,17 +29635,17 @@ x.keyword = s => return(x.value) "failed" -@ -<>= +\end{chunk} +\begin{chunk}{DROPT.dotabb} "DROPT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=DROPT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "DROPT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01AJFA d01ajfAnnaType} -<>= +\begin{chunk}{d01ajfAnnaType.input} )set break resume )sys rm -f d01ajfAnnaType.output )spool d01ajfAnnaType.output @@ -29174,8 +29673,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01ajfAnnaType.help} ==================================================================== d01ajfAnnaType examples ==================================================================== @@ -29183,7 +29682,7 @@ See Also: o )show d01ajfAnnaType -@ +\end{chunk} \pagehead{d01ajfAnnaType}{D01AJFA} \pagepic{ps/v103d01ajfannatype.ps}{D01AJFA}{1.00} @@ -29199,7 +29698,7 @@ \cross{D01AJFA}{?=?} \end{tabular} -<>= +\begin{chunk}{domain D01AJFA d01ajfAnnaType} )abbrev domain D01AJFA d01ajfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -29253,17 +29752,17 @@ d01ajf(getlo(args.range),gethi(args.range),args.abserr,_ args.relerr,4*iw,iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01AJFA.dotabb} "D01AJFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01AJFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "D01AJFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01AKFA d01akfAnnaType} -<>= +\begin{chunk}{d01akfAnnaType.input} )set break resume )sys rm -f d01akfAnnaType.output )spool d01akfAnnaType.output @@ -29291,8 +29790,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01akfAnnaType.help} ==================================================================== d01akfAnnaType examples ==================================================================== @@ -29300,7 +29799,7 @@ See Also: o )show d01akfAnnaType -@ +\end{chunk} \pagehead{d01akfAnnaType}{D01AKFA} \pagepic{ps/v103d01akfannatype.ps}{D01AKFA}{1.00} @@ -29316,7 +29815,7 @@ \cross{D01AKFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01AKFA d01akfAnnaType} )abbrev domain D01AKFA d01akfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -29375,17 +29874,17 @@ d01akf(getlo(args.range),gethi(args.range),args.abserr,_ args.relerr,4*iw,iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01AKFA.dotabb} "D01AKFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01AKFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "D01AKFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01ALFA d01alfAnnaType} -<>= +\begin{chunk}{d01alfAnnaType.input} )set break resume )sys rm -f d01alfAnnaType.output )spool d01alfAnnaType.output @@ -29413,8 +29912,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01alfAnnaType.help} ==================================================================== d01alfAnnaType examples ==================================================================== @@ -29422,7 +29921,7 @@ See Also: o )show d01alfAnnaType -@ +\end{chunk} \pagehead{d01alfAnnaType}{D01ALFA} \pagepic{ps/v103d01alfannatype.ps}{D01ALFA}{1.00} @@ -29438,7 +29937,7 @@ \cross{D01ALFA}{?=?} \end{tabular} -<>= +\begin{chunk}{domain D01ALFA d01alfAnnaType} )abbrev domain D01ALFA d01alfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -29509,17 +30008,17 @@ d01alf(getlo(args.range),gethi(args.range),n,M,_ args.abserr,args.relerr,2*n*iw,n*iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01ALFA.dotabb} "D01ALFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01ALFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "D01ALFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01AMFA d01amfAnnaType} -<>= +\begin{chunk}{d01amfAnnaType.input} )set break resume )sys rm -f d01amfAnnaType.output )spool d01amfAnnaType.output @@ -29547,8 +30046,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01amfAnnaType.help} ==================================================================== d01amfAnnaType examples ==================================================================== @@ -29556,7 +30055,7 @@ See Also: o )show d01amfAnnaType -@ +\end{chunk} \pagehead{d01amfAnnaType}{D01AMFA} \pagepic{ps/v103d01amfannatype.ps}{D01AMFA}{1.00} @@ -29572,7 +30071,7 @@ \cross{D01AMFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01AMFA d01amfAnnaType} )abbrev domain D01AMFA d01amfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -29639,17 +30138,17 @@ r := 2 d01amf(bound,r,args.abserr,args.relerr,4*iw,iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01AMFA.dotabb} "D01AMFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01AMFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "D01AMFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01ANFA d01anfAnnaType} -<>= +\begin{chunk}{d01anfAnnaType.input} )set break resume )sys rm -f d01anfAnnaType.output )spool d01anfAnnaType.output @@ -29677,8 +30176,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01anfAnnaType.help} ==================================================================== d01anfAnnaType examples ==================================================================== @@ -29686,7 +30185,7 @@ See Also: o )show d01anfAnnaType -@ +\end{chunk} \pagehead{d01anfAnnaType}{D01ANFA} \pagepic{ps/v103d01anfannatype.ps}{D01ANFA}{1.00} @@ -29702,7 +30201,7 @@ \cross{D10ANFA}{?=?} \end{tabular} -<>= +\begin{chunk}{domain D01ANFA d01anfAnnaType} )abbrev domain D01ANFA d01anfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -29771,17 +30270,17 @@ d01anf(getlo(args.range),gethi(args.range),rec.w,a,_ args.abserr,args.relerr,4*iw,iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01ANFA.dotabb} "D01ANFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01ANFA"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "D01ANFA" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01APFA d01apfAnnaType} -<>= +\begin{chunk}{d01apfAnnaType.input} )set break resume )sys rm -f d01apfAnnaType.output )spool d01apfAnnaType.output @@ -29809,8 +30308,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01apfAnnaType.help} ==================================================================== d01apfAnnaType examples ==================================================================== @@ -29818,7 +30317,7 @@ See Also: o )show d01apfAnnaType -@ +\end{chunk} \pagehead{d01apfAnnaType}{D01APFA} \pagepic{ps/v103d01apfannatype.ps}{D01APFA}{1.00} @@ -29834,7 +30333,7 @@ \cross{D01APFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01APFA d01apfAnnaType} )abbrev domain D01APFA d01apfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -29916,17 +30415,17 @@ d01apf(getlo(args.range),gethi(args.range),c,d,l,_ args.abserr,args.relerr,4*iw,iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01APFA.dotabb} "D01APFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01APFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "D01APFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01AQFA d01aqfAnnaType} -<>= +\begin{chunk}{d01aqfAnnaType.input} )set break resume )sys rm -f d01aqfAnnaType.output )spool d01aqfAnnaType.output @@ -29954,8 +30453,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01aqfAnnaType.help} ==================================================================== d01aqfAnnaType examples ==================================================================== @@ -29963,7 +30462,7 @@ See Also: o )show d01aqfAnnaType -@ +\end{chunk} \pagehead{d01aqfAnnaType}{D01AQFA} \pagepic{ps/v103d01aqfannatype.ps}{D01AQFA}{1.00} @@ -29979,7 +30478,7 @@ \cross{D01APFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01AQFA d01aqfAnnaType} )abbrev domain D01AQFA d01aqfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -30055,19 +30554,19 @@ d01aqf(getlo(Args.range),gethi(Args.range),c,_ Args.abserr,Args.relerr,4*iw,iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01AQFA.dotabb} "D01AQFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01AQFA"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "D01AQFA" -> "STRING" "D01AQFA" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01ASFA d01asfAnnaType} -<>= +\begin{chunk}{d01asfAnnaType.input} )set break resume )sys rm -f d01asfAnnaType.output )spool d01asfAnnaType.output @@ -30095,8 +30594,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01asfAnnaType.help} ==================================================================== d01asfAnnaType examples ==================================================================== @@ -30104,7 +30603,7 @@ See Also: o )show d01asfAnnaType -@ +\end{chunk} \pagehead{d01asfAnnaType}{D01ASFA} \pagepic{ps/v103d01asfannatype.ps}{D01ASFA}{1.00} @@ -30120,7 +30619,7 @@ \cross{D01ASFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01ASFA d01asfAnnaType} )abbrev domain D01ASFA d01asfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -30195,17 +30694,17 @@ args.relerr d01asf(getlo(args.range),rec.w,i,err,50,4*iw,2*iw,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{D01ASFA.dotabb} "D01ASFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01ASFA"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "D01ASFA" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01FCFA d01fcfAnnaType} -<>= +\begin{chunk}{d01fcfAnnaType.input} )set break resume )sys rm -f d01fcfAnnaType.output )spool d01fcfAnnaType.output @@ -30233,8 +30732,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01fcfAnnaType.help} ==================================================================== d01fcfAnnaType examples ==================================================================== @@ -30242,7 +30741,7 @@ See Also: o )show d01fcfAnnaType -@ +\end{chunk} \pagehead{d01fcfAnnaType}{D01FCFA} \pagepic{ps/v103d01fcfannatype.ps}{D01FCFA}{1.00} @@ -30258,7 +30757,7 @@ \cross{D01FCFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01FCFA d01fcfAnnaType} )abbrev domain D01FCFA d01fcfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -30323,17 +30822,17 @@ out:Result := d01fcf(dim,low,high,maxpts,err,lenwrk,minpts,-1,f) changeName(finval@Symbol,result@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{D01FCFA.dotabb} "D01FCFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01FCFA"] "TRANFUN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TRANFUN"] "D01FCFA" -> "TRANFUN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01GBFA d01gbfAnnaType} -<>= +\begin{chunk}{d01gbfAnnaType.input} )set break resume )sys rm -f d01gbfAnnaType.output )spool d01gbfAnnaType.output @@ -30361,8 +30860,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01gbfAnnaType.help} ==================================================================== d01gbfAnnaType examples ==================================================================== @@ -30370,7 +30869,7 @@ See Also: o )show d01gbfAnnaType -@ +\end{chunk} \pagehead{d01gbfAnnaType}{D01GBFA} \pagepic{ps/v103d01gbfannatype.ps}{D01GBFA}{1.00} @@ -30386,7 +30885,7 @@ \cross{D01GBFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01GBFA d01gbfAnnaType} )abbrev domain D01GBFA d01gbfAnnaType ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -30453,8 +30952,8 @@ d01gbf(dim,low,high,maxcls,args.relerr,lenwrk,mincls,wrkstr,-1,f) changeName(finest@Symbol,result@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{D01GBFA.dotabb} "D01GBFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01GBFA"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] @@ -30463,11 +30962,11 @@ "D01GBFA" -> "RADCAT" "D01GBFA" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D01TRNS d01TransformFunctionType} -<>= +\begin{chunk}{d01TransformFunctionType.input} )set break resume )sys rm -f d01TransformFunctionType.output )spool d01TransformFunctionType.output @@ -30495,8 +30994,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d01TransformFunctionType.help} ==================================================================== d01TransformFunctionType examples ==================================================================== @@ -30504,7 +31003,7 @@ See Also: o )show d01TransformFunctionType -@ +\end{chunk} \pagehead{d01TransformFunctionType}{D01TRNS} \pagepic{ps/v103d01transformfunctiontype.ps}{D01TRNS}{1.00} @@ -30520,7 +31019,7 @@ \cross{D01TRNS}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D01TRNS d01TransformFunctionType} )abbrev domain D01TRNS d01TransformFunctionType ++ Author: Brian Dupee ++ Date Created: April 1994 @@ -30677,17 +31176,17 @@ recAbserr:Record(key:S,entry:Any):=[abserr pretend S,anyAbserr] insert!(recAbserr,insert!(recResult,ans))$Result -@ -<>= +\end{chunk} +\begin{chunk}{D01TRNS.dotabb} "D01TRNS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D01TRNS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "D01TRNS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D02BBFA d02bbfAnnaType} -<>= +\begin{chunk}{d02bbfAnnaType.input} )set break resume )sys rm -f d02bbfAnnaType.output )spool d02bbfAnnaType.output @@ -30713,8 +31212,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d02bbfAnnaType.help} ==================================================================== d02bbfAnnaType examples ==================================================================== @@ -30722,7 +31221,7 @@ See Also: o )show d02bbfAnnaType -@ +\end{chunk} \pagehead{d02bbfAnnaType}{D02BBFA} \pagepic{ps/v103d02bbfannatype.ps}{D02BBFA}{1.00} @@ -30738,7 +31237,7 @@ \cross{D02BBFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D02BBFA d02bbfAnnaType} )abbrev domain D02BBFA d02bbfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -30828,17 +31327,17 @@ d02bbf(ode.xend,M,# ode.fn,irelab,ode.xinit,matrix([ode.yinit])$MDF, tol,-1,asp7,asp8) -@ -<>= +\end{chunk} +\begin{chunk}{D02BBFA.dotabb} "D02BBFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D02BBFA"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "D02BBFA" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D02BHFA d02bhfAnnaType} -<>= +\begin{chunk}{d02bhfAnnaType.input} )set break resume )sys rm -f d02bhfAnnaType.output )spool d02bhfAnnaType.output @@ -30864,8 +31363,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d02bhfAnnaType.help} ==================================================================== d02bhfAnnaType examples ==================================================================== @@ -30873,7 +31372,7 @@ See Also: o )show d02bhfAnnaType -@ +\end{chunk} \pagehead{d02bhfAnnaType}{D02BHFA} \pagepic{ps/v103d02bhfannatype.ps}{D02BHFA}{1.00} @@ -30889,7 +31388,7 @@ \cross{D02BHFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D02BHFA d02bhfAnnaType} )abbrev domain D02BHFA d02bhfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -30976,17 +31475,17 @@ d02bhf(ode.xend,# e,irelab,0$DF,ode.xinit,matrix([ode.yinit])$MDF, tol,-1,asp9,asp7) -@ -<>= +\end{chunk} +\begin{chunk}{D02BHFA.dotabb} "D02BHFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D02BHFA"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "D02BHFA" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D02CJFA d02cjfAnnaType} -<>= +\begin{chunk}{d02cjfAnnaType.input} )set break resume )sys rm -f d02cjfAnnaType.output )spool d02cjfAnnaType.output @@ -31012,8 +31511,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d02cjfAnnaType.help} ==================================================================== d02cjfAnnaType examples ==================================================================== @@ -31021,7 +31520,7 @@ See Also: o )show d02cjfAnnaType -@ +\end{chunk} \pagehead{d02cjfAnnaType}{D02CJFA} \pagepic{ps/v103d02cjfannatype.ps}{D02CJFA}{1.00} @@ -31037,7 +31536,7 @@ \cross{D02CJFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D02CJFA d02cjfAnnaType} )abbrev domain D02CJFA d02cjfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -31117,17 +31616,17 @@ d02cjf(ode.xend,M,# e,tol,ire,ode.xinit,matrix([ode.yinit])$MDF, -1,asp9,asp7,asp8) -@ -<>= +\end{chunk} +\begin{chunk}{D02CJFA.dotabb} "D02CJFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D02CJFA"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "D02CJFA" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D02EJFA d02ejfAnnaType} -<>= +\begin{chunk}{d02ejfAnnaType.input} )set break resume )sys rm -f d02ejfAnnaType.output )spool d02ejfAnnaType.output @@ -31153,8 +31652,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d02ejfAnnaType.help} ==================================================================== d02ejfAnnaType examples ==================================================================== @@ -31162,7 +31661,7 @@ See Also: o )show d02ejfAnnaType -@ +\end{chunk} \pagehead{d02ejfAnnaType}{D02EJFA} \pagepic{ps/v103d02ejfannatype.ps}{D02EJFA}{1.00} @@ -31178,7 +31677,7 @@ \cross{D02EJFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D02EJFA d02ejfAnnaType} )abbrev domain D02EJFA d02ejfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -31283,8 +31782,8 @@ ans := d02ejf(ode.xend,m,n,ire,iw,ode.xinit,matrix([ode.yinit])$MDF, tol,-1,asp9,asp7,asp31,asp8) -@ -<>= +\end{chunk} +\begin{chunk}{D02EJFA.dotabb} "D02EJFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D02EJFA"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] @@ -31295,11 +31794,11 @@ "D02EJFA" -> "FIELD" "D02EJFA" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D03EEFA d03eefAnnaType} -<>= +\begin{chunk}{d03eefAnnaType.input} )set break resume )sys rm -f d03eefAnnaType.output )spool d03eefAnnaType.output @@ -31325,8 +31824,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d03eefAnnaType.help} ==================================================================== d03eefAnnaType examples ==================================================================== @@ -31334,7 +31833,7 @@ See Also: o )show d03eefAnnaType -@ +\end{chunk} \pagehead{d03eefAnnaType}{D03EEFA} \pagepic{ps/v103d03eefannatype.ps}{D03EEFA}{1.00} @@ -31350,7 +31849,7 @@ \cross{D03EEFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D03EEFA d03eefAnnaType} )abbrev domain D03EEFA d03eefAnnaType ++ Author: Brian Dupee ++ Date Created: June 1996 @@ -31421,17 +31920,17 @@ fderhs := retract(rh)$AnyFunctions1(MDF) d03edf(nx,ny,lda,15,args.tol,0,fdea,fderhs,ub,-1) -@ -<>= +\end{chunk} +\begin{chunk}{D03EEFA.dotabb} "D03EEFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D03EEFA"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "D03EEFA" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain D03FAFA d03fafAnnaType} -<>= +\begin{chunk}{d03fafAnnaType.input} )set break resume )sys rm -f d03fafAnnaType.output )spool d03fafAnnaType.output @@ -31457,8 +31956,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{d03fafAnnaType.help} ==================================================================== d03fafAnnaType examples ==================================================================== @@ -31466,7 +31965,7 @@ See Also: o )show d03fafAnnaType -@ +\end{chunk} \pagehead{d03fafAnnaType}{D03FAFA} \pagepic{ps/v103d03fafannatype.ps}{D03FAFA}{1.00} @@ -31482,7 +31981,7 @@ \cross{D03FAFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain D03FAFA d03fafAnnaType} )abbrev domain D03FAFA d03fafAnnaType ++ Author: Brian Dupee ++ Date Created: July 1996 @@ -31520,19 +32019,19 @@ [0$F,"d03faf is unsuitable for PDEs of order other than 3"] [0$F,"d03faf isn't finished"] -@ -<>= +\end{chunk} +\begin{chunk}{D03FAFAs.dotabb} "D03FAFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=D03FAFA"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "D03FAFA" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter E} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EQ Equation} -<>= +\begin{chunk}{Equation.input} )set break resume )sys rm -f Equation.output )spool Equation.output @@ -31638,8 +32137,8 @@ --E 12 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Equation.help} ==================================================================== Equation examples ==================================================================== @@ -31721,7 +32220,7 @@ See Also: o )show Equation -@ +\end{chunk} \pagehead{Equation}{EQ} \pagepic{ps/v103equation.ps}{EQ}{1.00} @@ -31768,7 +32267,7 @@ \cross{EQ}{?\^{}?} & \end{tabular} -<>= +\begin{chunk}{domain EQ Equation} )abbrev domain EQ Equation --FOR THE BENEFIT OF LIBAX0 GENERATION ++ Author: Stephen M. Watt, enhancements by Johannes Grabmeier @@ -31980,17 +32479,17 @@ eq3 := eq2 pretend Equation S [subst(lhs eq1,eq3),subst(rhs eq1,eq3)] -@ -<>= +\end{chunk} +\begin{chunk}{EQ.dotabb} "EQ" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EQ"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "EQ" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EQTBL EqTable} -<>= +\begin{chunk}{EqTable.input} )set break resume )sys rm -f EqTable.output )spool EqTable.output @@ -32046,8 +32545,8 @@ --E 6 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{EqTable.help} ==================================================================== EqTable examples ==================================================================== @@ -32092,7 +32591,7 @@ o )help Table o )show EqTable -@ +\end{chunk} \pagehead{EqTable}{EQTBL} \pagepic{ps/v103eqtable.ps}{EQTBL}{1.00} {\bf See}\\ @@ -32163,7 +32662,7 @@ \cross{EQTBL}{?.?} &&&& \end{tabular} -<>= +\begin{chunk}{domain EQTBL EqTable} )abbrev domain EQTBL EqTable ++ Author: Stephen M. Watt ++ Date Created: @@ -32183,17 +32682,17 @@ EqTable(Key: SetCategory, Entry: SetCategory) == HashTable(Key, Entry, "EQ") -@ -<>= +\end{chunk} +\begin{chunk}{EQTBL.dotabb} "EQTBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EQTBL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "EQTBL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EMR EuclideanModularRing} -<>= +\begin{chunk}{EuclideanModularRing.input} )set break resume )sys rm -f EuclideanModularRing.output )spool EuclideanModularRing.output @@ -32248,8 +32747,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{EuclideanModularRing.help} ==================================================================== EuclideanModularRing examples ==================================================================== @@ -32257,7 +32756,7 @@ See Also: o )show EuclideanModularRing -@ +\end{chunk} \pagehead{EuclideanModularRing}{EMR} \pagepic{ps/v103euclideanmodularring.ps}{EMR}{1.00} @@ -32310,7 +32809,7 @@ \cross{EMR}{?rem?} &&&& \end{tabular} -<>= +\begin{chunk}{domain EMR EuclideanModularRing} )abbrev domain EMR EuclideanModularRing ++ Author: Mark Botch ++ Description: @@ -32415,17 +32914,17 @@ elt(x : %,s : R) : R == reduction(elt(x.val,s),x.modulo) -@ -<>= +\end{chunk} +\begin{chunk}{EMR.dotabb} "EMR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EMR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "EMR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EXIT Exit} -<>= +\begin{chunk}{Exit.input} )set break resume )sys rm -f Exit.output )spool Exit.output @@ -32486,8 +32985,8 @@ --E 6 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Exit.help} ==================================================================== Exit examples ==================================================================== @@ -32525,7 +33024,7 @@ See Also: o )show Exit -@ +\end{chunk} \pagehead{Exit}{EXIT} \pagepic{ps/v103exit.ps}{EXIT}{1.00} @@ -32538,7 +33037,7 @@ \cross{EXIT}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain EXIT Exit} )abbrev domain EXIT Exit ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -32562,19 +33061,19 @@ coerce(n:%) == error "Cannot use an Exit value." n1 = n2 == error "Cannot use an Exit value." -@ -<>= +\end{chunk} +\begin{chunk}{EXIT.dotabb} "EXIT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EXIT"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "EXIT" -> "BASTYPE" "EXIT" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EXPEXPAN ExponentialExpansion} -<>= +\begin{chunk}{ExponentialExpansion.input} )set break resume )sys rm -f ExponentialExpansion.output )spool ExponentialExpansion.output @@ -32709,8 +33208,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ExponentialExpansion.help} ==================================================================== ExponentialExpansion examples ==================================================================== @@ -32718,7 +33217,7 @@ See Also: o )show ExponentialExpansion -@ +\end{chunk} \pagehead{ExponentialExpansion}{EXPEXPAN} \pagepic{ps/v103exponentialexpansion.ps}{EXPEXPAN}{1.00} @@ -32810,7 +33309,7 @@ \cross{EXPEXPAN}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain EXPEXPAN ExponentialExpansion} )abbrev domain EXPEXPAN ExponentialExpansion ++ Author: Clifton J. Williamson ++ Date Created: 13 August 1992 @@ -32956,19 +33455,19 @@ -- denominator tends to zero exponentially or is a series seriesQuotientInfinity(numCoef,denCoef) -@ -<>= +\end{chunk} +\begin{chunk}{EXPEXPAN.dotabb} "EXPEXPAN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EXPEXPAN"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "EXPEXPAN" -> "ACF" "EXPEXPAN" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EXPR Expression} -<>= +\begin{chunk}{Expression.input} )set break resume )sys rm -f Expression.output )spool Expression.output @@ -33204,8 +33703,8 @@ --E 23 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Expression.help} ==================================================================== Expression examples ==================================================================== @@ -33342,7 +33841,7 @@ o )show Kernel o )show Expression -@ +\end{chunk} \pagehead{Expression}{EXPR} \pagepic{ps/v103expression.ps}{EXPR}{1.00} {\bf See}\\ @@ -33507,7 +34006,7 @@ \cross{EXPR}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain EXPR Expression} )abbrev domain EXPR Expression ++ Author: Manuel Bronstein ++ Date Created: 19 July 1988 @@ -34037,17 +34536,17 @@ -- l:PatternMatchResult(Float, %)) == -- patternMatch(x pretend K, p, l)$PatternMatchKernel(Float, %) -@ -<>= +\end{chunk} +\begin{chunk}{EXPR.dotabb} "EXPR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EXPR"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "EXPR" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EXPUPXS ExponentialOfUnivariatePuiseuxSeries} -<>= +\begin{chunk}{ExponentialOfUnivariatePuiseuxSeries.input} )set break resume )sys rm -f ExponentialOfUnivariatePuiseuxSeries.output )spool ExponentialOfUnivariatePuiseuxSeries.output @@ -34192,8 +34691,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ExponentialOfUnivariatePuiseuxSeries.help} ==================================================================== ExponentialOfUnivariatePuiseuxSeries examples ==================================================================== @@ -34201,7 +34700,7 @@ See Also: o )show ExponentialOfUnivariatePuiseuxSeries -@ +\end{chunk} \pagehead{ExponentialOfUnivariatePuiseuxSeries}{EXPUPXS} \pagepic{ps/v103exponentialofunivariatepuiseuxseries.ps}{EXPUPXS}{1.00} @@ -34320,7 +34819,7 @@ \cross{EXPUPXS}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain EXPUPXS ExponentialOfUnivariatePuiseuxSeries} )abbrev domain EXPUPXS ExponentialOfUnivariatePuiseuxSeries ++ Author: Clifton J. Williamson ++ Date Created: 4 August 1992 @@ -34391,17 +34890,17 @@ coerce(f:%):OutputForm == ("%e" :: OutputForm) ** ((coerce$Rep)(complete f)@OutputForm) -@ -<>= +\end{chunk} +\begin{chunk}{EXPUPXS.dotabb} "EXPUPXS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EXPUPXS"] "UPXSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UPXSCAT"] "EXPUPXS" -> "UPXSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain EAB ExtAlgBasis} -<>= +\begin{chunk}{ExtAlgBasis.input} )set break resume )sys rm -f ExtAlgBasis.output )spool ExtAlgBasis.output @@ -34430,8 +34929,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ExtAlgBasis.help} ==================================================================== ExtAlgBasis examples ==================================================================== @@ -34439,7 +34938,7 @@ See Also: o )show ExtAlgBasis -@ +\end{chunk} \pagehead{ExtAlgBasis}{EAB} \pagepic{ps/v103extalgbasis.ps}{EAB}{1.00} @@ -34465,7 +34964,7 @@ \cross{EAB}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain EAB ExtAlgBasis} )abbrev domain EAB ExtAlgBasis ++ Author: Larry Lambe ++ Date created: 03/14/89 @@ -34544,19 +35043,19 @@ coerce x == coerce(x @ Rep)$(L I) -@ -<>= +\end{chunk} +\begin{chunk}{EAB.dotabb} "EAB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=EAB"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "EAB" -> "PID" "EAB" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04DGFA e04dgfAnnaType} -<>= +\begin{chunk}{e04dgfAnnaType.input} )set break resume )sys rm -f e04dgfAnnaType.output )spool e04dgfAnnaType.output @@ -34584,8 +35083,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04dgfAnnaType.help} ==================================================================== e04dgfAnnaType examples ==================================================================== @@ -34593,7 +35092,7 @@ See Also: o )show e04dgfAnnaType -@ +\end{chunk} \pagehead{e04dgfAnnaType}{E04DGFA} \pagepic{ps/v103e04dgfannatype.ps}{E04DGFA}{1.00} @@ -34616,7 +35115,7 @@ \cross{E04DGFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04DGFA e04dgfAnnaType} )abbrev domain E04DGFA e04dgfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -34685,17 +35184,17 @@ f:Union(fn:FileName,fp:Asp49(OBJFUN)) := [retract(ArgsFn)$Asp49(OBJFUN)] e04dgf(n,1$DF,fu,it,lin,true,ma,op,1,1,n,0,x,-1,f) -@ -<>= +\end{chunk} +\begin{chunk}{E04DGFA.dotabb} "E04DGFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04DGFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "E04DGFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04FDFA e04fdfAnnaType} -<>= +\begin{chunk}{e04fdfAnnaType.input} )set break resume )sys rm -f e04fdfAnnaType.output )spool e04fdfAnnaType.output @@ -34723,8 +35222,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04fdfAnnaType.help} ==================================================================== e04fdfAnnaType examples ==================================================================== @@ -34732,7 +35231,7 @@ See Also: o )show e04fdfAnnaType -@ +\end{chunk} \pagehead{e04fdfAnnaType}{E04FDFA} \pagepic{ps/v103e04fdfannatype.ps}{E04FDFA}{1.00} @@ -34755,7 +35254,7 @@ \cross{E04FDFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04FDFA e04fdfAnnaType} )abbrev domain E04FDFA e04fdfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -34850,17 +35349,17 @@ out:Result := e04fdf(m,n,1,lw,x,-1,f) changeNameToObjf(fsumsq@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{E04FDFA.dotabb} "E04FDFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04FDFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "E04FDFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04GCFA e04gcfAnnaType} -<>= +\begin{chunk}{e04gcfAnnaType.input} )set break resume )sys rm -f e04gcfAnnaType.output )spool e04gcfAnnaType.output @@ -34888,8 +35387,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04gcfAnnaType.help} ==================================================================== e04gcfAnnaType examples ==================================================================== @@ -34897,7 +35396,7 @@ See Also: o )show e04gcfAnnaType -@ +\end{chunk} \pagehead{e04gcfAnnaType}{E04GCFA} \pagepic{ps/v103e04gcfannatype.ps}{E04GCFA}{1.00} @@ -34920,7 +35419,7 @@ \cross{E04GCFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04GCFA e04gcfAnnaType} )abbrev domain E04GCFA e04gcfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -35031,17 +35530,17 @@ out:Result := e04gcf(m,n,1,lw,x,-1,f) changeNameToObjf(fsumsq@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{E04GCFA.dotabb} "E04GCFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04GCFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "E04GCFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04JAFA e04jafAnnaType} -<>= +\begin{chunk}{e04jafAnnaType.input} )set break resume )sys rm -f e04jafAnnaType.output )spool e04jafAnnaType.output @@ -35069,8 +35568,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04jafAnnaType.help} ==================================================================== e04jafAnnaType examples ==================================================================== @@ -35078,7 +35577,7 @@ See Also: o )show e04jafAnnaType -@ +\end{chunk} \pagehead{e04jafAnnaType}{E04JAFA} \pagepic{ps/v103e04jafannatype.ps}{E04JAFA}{1.00} @@ -35101,7 +35600,7 @@ \cross{E04JAFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04JAFA e04jafAnnaType} )abbrev domain E04JAFA e04jafAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -35187,17 +35686,17 @@ out:Result := e04jaf(n,ibound,n+2,lw,bl,bu,x,-1,fr) changeNameToObjf(f@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{E04JAFA.dotabb} "E04JAFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04JAFA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "E04JAFA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04MBFA e04mbfAnnaType} -<>= +\begin{chunk}{e04mbfAnnaType.input} )set break resume )sys rm -f e04mbfAnnaType.output )spool e04mbfAnnaType.output @@ -35225,8 +35724,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04mbfAnnaType.help} ==================================================================== e04mbfAnnaType examples ==================================================================== @@ -35234,7 +35733,7 @@ See Also: o )show e04mbfAnnaType -@ +\end{chunk} \pagehead{e04mbfAnnaType}{E04MBFA} \pagepic{ps/v103e04mbfannatype.ps}{E04MBFA}{1.00} @@ -35257,7 +35756,7 @@ \cross{E04MBFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04MBFA e04mbfAnnaType} )abbrev domain E04MBFA e04mbfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -35329,17 +35828,17 @@ out:Result := e04mbf(20,1,n,nclin,n+nclin,nrowa,A,bl,bu,cvec,true,2*n,lwork,x,-1) changeNameToObjf(objlp@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{E04MBFA.dotabb} "E04MBFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04MBFA"] "TRANFUN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TRANFUN"] "E04MBFA" -> "TRANFUN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04NAFA e04nafAnnaType} -<>= +\begin{chunk}{e04nafAnnaType.input} )set break resume )sys rm -f e04nafAnnaType.output )spool e04nafAnnaType.output @@ -35367,8 +35866,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04nafAnnaType.help} ==================================================================== e04nafAnnaType examples ==================================================================== @@ -35376,7 +35875,7 @@ See Also: o )show e04nafAnnaType -@ +\end{chunk} \pagehead{e04nafAnnaType}{E04NAFA} \pagepic{ps/v103e04nafannatype.ps}{E04NAFA}{1.00} @@ -35399,7 +35898,7 @@ \cross{E04NAFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04NAFA e04nafAnnaType} )abbrev domain E04NAFA e04nafAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -35486,17 +35985,17 @@ hess,true,false,true,2*n,lwork,x,istate,-1,qphess) changeNameToObjf(obj@Symbol,out) -@ -<>= +\end{chunk} +\begin{chunk}{E04NAFA.dotabb} "E04NAFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04NAFA"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "E04NAFA" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain E04UCFA e04ucfAnnaType} -<>= +\begin{chunk}{e04ucfAnnaType.input} )set break resume )sys rm -f e04ucfAnnaType.output )spool e04ucfAnnaType.output @@ -35524,8 +36023,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{e04ucfAnnaType.help} ==================================================================== e04ucfAnnaType examples ==================================================================== @@ -35533,7 +36032,7 @@ See Also: o )show e04ucfAnnaType -@ +\end{chunk} \pagehead{e04ucfAnnaType}{E04UCFA} \pagepic{ps/v103e04ucfannatype.ps}{E04UCFA}{1.00} @@ -35556,7 +36055,7 @@ \cross{E04UCFA}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain E04UCFA e04ucfAnnaType} )abbrev domain E04UCFA e04ucfAnnaType ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -35659,19 +36158,19 @@ fun,true,infb,infb,fea,lint,true,maji,1,mini,0,-1,nonf,opt,ste,1, 1,n,n,3,istate,cjac,clambda,r,x,-1,casp,fasp) -@ -<>= +\end{chunk} +\begin{chunk}{E04UCFA.dotabb} "E04UCFA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=E04UCFA"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "E04UCFA" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter F} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FR Factored} -<>= +\begin{chunk}{Factored.input} )set break resume )sys rm -f Factored.output )spool Factored.output @@ -36005,8 +36504,8 @@ --E 38 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Factored.help} ==================================================================== Factored examples ==================================================================== @@ -36288,7 +36787,7 @@ o )help FactoredFunctions2 o )show Factored -@ +\end{chunk} \pagehead{Factored}{FR} \pagepic{ps/v103factored.ps}{FR}{1.00} @@ -36354,7 +36853,7 @@ \cross{FR}{?.?} && \end{tabular} -<>= +\begin{chunk}{domain FR Factored} )abbrev domain FR Factored ++ Author: Robert S. Sutor ++ Date Created: 1985 @@ -36903,17 +37402,17 @@ -- one?(l.first.xpnt) and (l.first.flg case "prime") ((l.first.xpnt) = 1) and (l.first.flg case "prime") -@ -<>= +\end{chunk} +\begin{chunk}{FR.dotabb} "FR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FR"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FR" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FILE File} -<>= +\begin{chunk}{File.input} )set break resume )sys rm -f File.output )spool File.output @@ -37018,8 +37517,8 @@ )system rm jazz1 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{File.help} ==================================================================== File examples ==================================================================== @@ -37109,7 +37608,7 @@ o )help Filename o )show File -@ +\end{chunk} \pagehead{File}{FILE} \pagepic{ps/v103file.ps}{FILE}{1.00} {\bf See}\\ @@ -37136,7 +37635,7 @@ \cross{FILE}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain FILE File} )abbrev domain FILE File ++ Author: Stephen M. Watt, Victor Miller ++ Date Created: 1984 @@ -37221,17 +37720,17 @@ f.fileIOmode ^= "output" => error "File not in write state" FORCE_-OUTPUT(f.fileState)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{FILE.dotabb} "FILE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FILE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "FILE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FNAME FileName} -<>= +\begin{chunk}{FileName.input} )set break resume )sys rm -f FileName.output )spool FileName.output @@ -37381,8 +37880,8 @@ --E 18 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FileName.help} ==================================================================== FileName examples ==================================================================== @@ -37509,7 +38008,7 @@ See Also: o )show FileName -@ +\end{chunk} \pagehead{FileName}{FNAME} \pagepic{ps/v103filename.ps}{FNAME}{1.00} @@ -37530,7 +38029,7 @@ \cross{FNAME}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain FNAME FileName} )abbrev domain FNAME FileName ++ Author: Stephen M. Watt ++ Date Created: 1985 @@ -37565,17 +38064,17 @@ new(d,pref,e) == fnameNew(d,pref,e)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{FNAME.dotabb} "FNAME" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FNAME"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "FNAME" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FDIV FiniteDivisor} -<>= +\begin{chunk}{FiniteDivisor.input} )set break resume )sys rm -f FiniteDivisor.output )spool FiniteDivisor.output @@ -37613,8 +38112,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteDivisor.help} ==================================================================== FiniteDivisor examples ==================================================================== @@ -37622,7 +38121,7 @@ See Also: o )show FiniteDivisor -@ +\end{chunk} \pagehead{FiniteDivisor}{FDIV} \pagepic{ps/v103finitedivisor.ps}{FDIV}{1.00} @@ -37656,7 +38155,7 @@ \cross{FDIV}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain FDIV FiniteDivisor} )abbrev domain FDIV FiniteDivisor ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -37784,17 +38283,17 @@ if not ground? gcd(g, b) then h := intReduce(h ** rank(), b) divisor ideal [b::RF::R, h]$Vector(R) -@ -<>= +\end{chunk} +\begin{chunk}{FDIV.dotabb} "FDIV" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FDIV"] "FDIVCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FDIVCAT"] "FDIV" -> "FDIVCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FF FiniteField} -<>= +\begin{chunk}{FiniteField.input} )set break resume )sys rm -f FiniteField.output )spool FiniteField.output @@ -37907,8 +38406,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteField.help} ==================================================================== FiniteField examples ==================================================================== @@ -37916,7 +38415,7 @@ See Also: o )show FiniteField -@ +\end{chunk} \pagehead{FiniteField}{FF} \pagepic{ps/v103finitefield.ps}{FF}{1.00} @@ -38014,7 +38513,7 @@ \cross{FF}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain FF FiniteField} )abbrev domain FF FiniteField ++ Author: Mark Botch ++ Date Created: ??? @@ -38043,17 +38542,17 @@ -- now "better" order (sparse polys first) -- generateIrredPoly(n)$IrredPolyOverFiniteField(GF)) -@ -<>= +\end{chunk} +\begin{chunk}{FF.dotabb} "FF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FF"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FF" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFCG FiniteFieldCyclicGroup} -<>= +\begin{chunk}{FiniteFieldCyclicGroup.input} )set break resume )sys rm -f FiniteFieldCyclicGroup.output )spool FiniteFieldCyclicGroup.output @@ -38167,8 +38666,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldCyclicGroup.help} ==================================================================== FiniteFieldCyclicGroup examples ==================================================================== @@ -38176,7 +38675,7 @@ See Also: o )show FiniteFieldCyclicGroup -@ +\end{chunk} \pagehead{FiniteFieldCyclicGroup}{FFCG} \pagepic{ps/v103finitefieldcyclicgroup.ps}{FFCG}{1.00} @@ -38274,7 +38773,7 @@ \cross{FFCG}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain FFCG FiniteFieldCyclicGroup} )abbrev domain FFCG FiniteFieldCyclicGroup ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 04.04.1991 @@ -38313,17 +38812,17 @@ Implementation ==> FiniteFieldCyclicGroupExtensionByPolynomial(PrimeField(p),_ createPrimitivePoly(extdeg)$FFPOLY) -@ -<>= +\end{chunk} +\begin{chunk}{FFCG.dotabb} "FFCG" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFCG"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FFCG" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFCGX FiniteFieldCyclicGroupExtension} -<>= +\begin{chunk}{FiniteFieldCyclicGroupExtension.input} )set break resume )sys rm -f FiniteFieldCyclicGroupExtension.output )spool FiniteFieldCyclicGroupExtension.output @@ -38435,8 +38934,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldCyclicGroupExtension.help} ==================================================================== FiniteFieldCyclicGroupExtension examples ==================================================================== @@ -38444,7 +38943,7 @@ See Also: o )show FiniteFieldCyclicGroupExtension -@ +\end{chunk} \pagehead{FiniteFieldCyclicGroupExtension}{FFCGX} \pagepic{ps/v103finitefieldcyclicgroupextension.ps}{FFCGX}{1.00} @@ -38542,7 +39041,7 @@ \cross{FFCGX}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain FFCGX FiniteFieldCyclicGroupExtension} )abbrev domain FFCGX FiniteFieldCyclicGroupExtension ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 04.04.1991 @@ -38583,17 +39082,17 @@ Implementation ==> FiniteFieldCyclicGroupExtensionByPolynomial(GF,_ createPrimitivePoly(extdeg)$FFPOLY) -@ -<>= +\end{chunk} +\begin{chunk}{FFCGX.dotabb} "FFCGX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFCGX"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FFCGX" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFCGP FiniteFieldCyclicGroupExtensionByPolynomial} -<>= +\begin{chunk}{FiniteFieldCyclicGroupExtensionByPolynomial.input} )set break resume )sys rm -f FiniteFieldCyclicGroupExtensionByPolynomial.output )spool FiniteFieldCyclicGroupExtensionByPolynomial.output @@ -38705,8 +39204,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldCyclicGroupExtensionByPolynomial.help} ==================================================================== FiniteFieldCyclicGroupExtensionByPolynomial examples ==================================================================== @@ -38714,7 +39213,7 @@ See Also: o )show FiniteFieldCyclicGroupExtensionByPolynomial -@ +\end{chunk} \pagehead{FiniteFieldCyclicGroupExtensionByPolynomial}{FFCGP} \pagepic{ps/v103finitefieldcyclicgroupextensionbypolynomial.ps}{FFCGP}{1.00} @@ -38812,7 +39311,7 @@ \cross{FFCGP}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain FFCGP FiniteFieldCyclicGroupExtensionByPolynomial} )abbrev domain FFCGP FiniteFieldCyclicGroupExtensionByPolynomial ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -39119,17 +39618,17 @@ x = 0 => 0 mulmod(m,x,sizeCG::Rep)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{FFCGP.dotabb} "FFCGP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFCGP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FFCGP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFX FiniteFieldExtension} -<>= +\begin{chunk}{FiniteFieldExtension.input} )set break resume )sys rm -f FiniteFieldExtension.output )spool FiniteFieldExtension.output @@ -39240,8 +39739,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldExtension.help} ==================================================================== FiniteFieldExtension examples ==================================================================== @@ -39249,7 +39748,7 @@ See Also: o )show FiniteFieldExtension -@ +\end{chunk} \pagehead{FiniteFieldExtension}{FFX} \pagepic{ps/v103finitefieldextension.ps}{FFX}{1.00} @@ -39347,7 +39846,7 @@ \cross{FFX}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain FFX FiniteFieldExtension} )abbrev domain FFX FiniteFieldExtension ++ Authors: R.Sutor, J. Grabmeier, A. Scheerhorn ++ Date Created: @@ -39382,17 +39881,17 @@ -- now "better" order (sparse polys first) -- generateIrredPoly(n)$IrredPolyOverFiniteField(GF)) -@ -<>= +\end{chunk} +\begin{chunk}{FFX.dotabb} "FFX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFX"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FFX" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFP FiniteFieldExtensionByPolynomial} -<>= +\begin{chunk}{FiniteFieldExtensionByPolynomial.input} )set break resume )sys rm -f FiniteFieldExtensionByPolynomial.output )spool FiniteFieldExtensionByPolynomial.output @@ -39503,8 +40002,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldExtensionByPolynomial.help} ==================================================================== FiniteFieldExtensionByPolynomial examples ==================================================================== @@ -39512,7 +40011,7 @@ See Also: o )show FiniteFieldExtensionByPolynomial -@ +\end{chunk} \pagehead{FiniteFieldExtensionByPolynomial}{FFP} \pagepic{ps/v103finitefieldextensionbypolynomial.ps}{FFP}{1.00} @@ -39611,7 +40110,7 @@ \cross{FFP}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain FFP FiniteFieldExtensionByPolynomial} )abbrev domain FFP FiniteFieldExtensionByPolynomial ++ Authors: R.Sutor, J. Grabmeier, O. Gschnitzer, A. Scheerhorn ++ Date Created: @@ -39843,17 +40342,17 @@ characteristic() == characteristic()$GF -@ -<>= +\end{chunk} +\begin{chunk}{FFP.dotabb} "FFP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FFP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFNB FiniteFieldNormalBasis} -<>= +\begin{chunk}{FiniteFieldNormalBasis.input} )set break resume )sys rm -f FiniteFieldNormalBasis.output )spool FiniteFieldNormalBasis.output @@ -39969,8 +40468,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldNormalBasis.help} ==================================================================== FiniteFieldNormalBasis examples ==================================================================== @@ -39978,7 +40477,7 @@ See Also: o )show FiniteFieldNormalBasis -@ +\end{chunk} \pagehead{FiniteFieldNormalBasis}{FFNB} \pagepic{ps/v103finitefieldnormalbasis.ps}{FFNB}{1.00} @@ -40078,7 +40577,7 @@ \cross{FFNB}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain FFNB FiniteFieldNormalBasis} )abbrev domain FFNB FiniteFieldNormalBasis ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -40127,17 +40626,17 @@ Implementation ==> FiniteFieldNormalBasisExtensionByPolynomial(PrimeField(p),_ createLowComplexityNormalBasis(extdeg)$FFF) -@ -<>= +\end{chunk} +\begin{chunk}{FFNB.dotabb} "FFNB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFNB"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FFNB" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFNBX FiniteFieldNormalBasisExtension} -<>= +\begin{chunk}{FiniteFieldNormalBasisExtension.input} )set break resume )sys rm -f FiniteFieldNormalBasisExtension.output )spool FiniteFieldNormalBasisExtension.output @@ -40251,8 +40750,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldNormalBasisExtension.help} ==================================================================== FiniteFieldNormalBasisExtension examples ==================================================================== @@ -40260,7 +40759,7 @@ See Also: o )show FiniteFieldNormalBasisExtension -@ +\end{chunk} \pagehead{FiniteFieldNormalBasisExtension}{FFNBX} \pagepic{ps/v103finitefieldnormalbasisextension.ps}{FFNBX}{1.00} @@ -40360,7 +40859,7 @@ \cross{FFNBX}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain FFNBX FiniteFieldNormalBasisExtension} )abbrev domain FFNBX FiniteFieldNormalBasisExtension ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -40409,17 +40908,17 @@ Implementation ==> FiniteFieldNormalBasisExtensionByPolynomial(GF,_ createLowComplexityNormalBasis(extdeg)$FFF) -@ -<>= +\end{chunk} +\begin{chunk}{FFNBX.dotabb} "FFNBX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFNBX"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FFNBX" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FFNBP FiniteFieldNormalBasisExtensionByPolynomial} -<>= +\begin{chunk}{FiniteFieldNormalBasisExtensionByPolynomial.input} )set break resume )sys rm -f FiniteFieldNormalBasisExtensionByPolynomial.output )spool FiniteFieldNormalBasisExtensionByPolynomial.output @@ -40533,8 +41032,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldNormalBasisExtensionByPolynomial.help} ==================================================================== FiniteFieldNormalBasisExtensionByPolynomial examples ==================================================================== @@ -40542,7 +41041,7 @@ See Also: o )show FiniteFieldNormalBasisExtensionByPolynomial -@ +\end{chunk} \pagehead{FiniteFieldNormalBasisExtensionByPolynomial}{FFNBP} \pagepic{ps/v103finitefieldnormalbasisextensionbypolynomial.ps}{FFNBP}{1.00} @@ -40642,7 +41141,7 @@ \cross{FFNBP}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain FFNBP FiniteFieldNormalBasisExtensionByPolynomial} )abbrev domain FFNBP FiniteFieldNormalBasisExtensionByPolynomial ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -41001,17 +41500,17 @@ normalElement() == normalElement(extdeg)$INBFF -@ -<>= +\end{chunk} +\begin{chunk}{FFNBP.dotabb} "FFNBP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FFNBP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FFNBP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FARRAY FlexibleArray} -<>= +\begin{chunk}{FlexibleArray.input} )set break resume )sys rm -f FlexibleArray.output )spool FlexibleArray.output @@ -41147,8 +41646,8 @@ --E 16 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FlexibleArray.help} ==================================================================== FlexibleArray ==================================================================== @@ -41276,7 +41775,7 @@ o )help ExtensibleLinearAggregate o )show FlexibleArray -@ +\end{chunk} \pagehead{FlexibleArray}{FARRAY} \pagepic{ps/v103flexiblearray.ps}{FARRAY}{1.00} {\bf See}\\ @@ -41363,7 +41862,7 @@ \cross{FARRAY}{?.?} && \end{tabular} -<>= +\begin{chunk}{domain FARRAY FlexibleArray} )abbrev domain FARRAY FlexibleArray ++ Author: Mark Botch ++ Description: @@ -41387,13 +41886,13 @@ Implementation ==> IndexedFlexibleArray(S, ARRAYMININDEX) -- Join(OneDimensionalArrayAggregate S, ExtensibleLinearAggregate S) -@ -<>= +\end{chunk} +\begin{chunk}{FARRAY.dotabb} "FARRAY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FARRAY"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "FARRAY" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FLOAT Float} As reported in bug number 4733 (rounding of negative numbers) @@ -41421,7 +41920,7 @@ It is currently unknown whether the unexpected behaviour of shift for negative arguments will cause bugs in other parts of Axiom. -<>= +\begin{chunk}{Float.input} )set break resume )sys rm -f Float.output )spool Float.output @@ -42108,8 +42607,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Float.help} ==================================================================== Float ==================================================================== @@ -42428,7 +42927,7 @@ o )help DoubleFloat o )show Float -@ +\end{chunk} \pagehead{Float}{FLOAT} \pagepic{ps/v103float.ps}{FLOAT}{1.00} @@ -42552,7 +43051,7 @@ \cross{FLOAT}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain FLOAT Float} )abbrev domain FLOAT Float B ==> Boolean @@ -43539,17 +44038,17 @@ (q0,q1) := (q1,q2) (s,t) := (t,r) -@ -<>= +\end{chunk} +\begin{chunk}{FLOAT.dotabb} "FLOAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLOAT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FLOAT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FC FortranCode} -<>= +\begin{chunk}{FortranCode.input} )set break resume )sys rm -f FortranCode.output )spool FortranCode.output @@ -43623,8 +44122,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranCode.help} ==================================================================== FortranCode examples ==================================================================== @@ -43632,7 +44131,7 @@ See Also: o )show FortranCode -@ +\end{chunk} \pagehead{FortranCode}{FC} \pagepic{ps/v103fortrancode.ps}{FC}{1.00} @@ -43674,7 +44173,7 @@ \cross{FC}{?~=?} \end{tabular} -<>= +\begin{chunk}{domain FC FortranCode} )abbrev domain FC FortranCode ++ Author: Mike Dewar ++ Date Created: April 1991 @@ -44263,19 +44762,19 @@ call(s:String):$ == [["call"]$OP,[s]$OPREC]$Rep -@ -<>= +\end{chunk} +\begin{chunk}{FC.dotabb} "FC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FC"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "FC" -> "COMPCAT" "FC" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FEXPR FortranExpression} -<>= +\begin{chunk}{FortranExpression.input} )set break resume )sys rm -f FortranExpression.output )spool FortranExpression.output @@ -44385,8 +44884,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranExpression.help} ==================================================================== FortranExpression examples ==================================================================== @@ -44394,7 +44893,7 @@ See Also: o )show FortranExpression -@ +\end{chunk} \pagehead{FortranExpression}{FEXPR} \pagepic{ps/v103fortranexpression.ps}{FEXPR}{1.00} @@ -44478,7 +44977,7 @@ \cross{FEXPR}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain FEXPR FortranExpression} )abbrev domain FEXPR FortranExpression ++ Author: Mike Dewar ++ Date Created: December 1993 @@ -44823,17 +45322,17 @@ res case "failed" => error("Illegal Symbol Detected:",u::String) res::$ -@ -<>= +\end{chunk} +\begin{chunk}{FEXPR.dotabb} "FEXPR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FEXPR"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FEXPR" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FORTRAN FortranProgram} -<>= +\begin{chunk}{FortranProgram.input} )set break resume )sys rm -f FortranProgram.output )spool FortranProgram.output @@ -44868,8 +45367,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranProgram.help} ==================================================================== FortranProgram examples ==================================================================== @@ -44877,7 +45376,7 @@ See Also: o )show FortranProgram -@ +\end{chunk} \pagehead{FortranProgram}{FORTRAN} \pagepic{ps/v103fortranprogram.ps}{FORTRAN}{1.00} @@ -44896,7 +45395,7 @@ \cross{FORTRAN}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain FORTRAN FortranProgram} )abbrev domain FORTRAN FortranProgra\\ ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -45121,17 +45620,17 @@ [equation(w,v) for w in veList for v in aeList] (subst(rhs u,eList))::$ -@ -<>= +\end{chunk} +\begin{chunk}{FORTRAN.dotabb} "FORTRAN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FORTRAN"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "FORTRAN" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FST FortranScalarType} -<>= +\begin{chunk}{FortranScalarType.input} )set break resume )sys rm -f FortranScalarType.output )spool FortranScalarType.output @@ -45159,8 +45658,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranScalarType.help} ==================================================================== FortranScalarType examples ==================================================================== @@ -45168,7 +45667,7 @@ See Also: o )show FortranScalarType -@ +\end{chunk} \pagehead{FortranScalarType}{FST} \pagepic{ps/v103fortranscalartype.ps}{FST}{1.00} @@ -45190,7 +45689,7 @@ \cross{FST}{?=?} \end{tabular} -<>= +\begin{chunk}{domain FST FortranScalarType} )abbrev domain FST FortranScalarType ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -45344,17 +45843,17 @@ doubleComplex?(t:$):Boolean == t case DoubleComplexThing -@ -<>= +\end{chunk} +\begin{chunk}{FST.dotabb} "FST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FST"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FST" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FTEM FortranTemplate} -<>= +\begin{chunk}{FortranTemplate.input} )set break resume )sys rm -f FortranTemplate.output )spool FortranTemplate.output @@ -45386,8 +45885,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranTemplate.help} ==================================================================== FortranTemplate examples ==================================================================== @@ -45395,7 +45894,7 @@ See Also: o )show FortranTemplate -@ +\end{chunk} \pagehead{FortranTemplate}{FTEM} \pagepic{ps/v103fortrantemplate.ps}{FTEM}{1.00} @@ -45428,7 +45927,7 @@ \cross{FTEM}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain FTEM FortranTemplate} )abbrev domain FTEM FortranTemplate ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -45520,17 +46019,17 @@ error concat(["Missing `endVerbatim' line in ",tp::String])$String string(_$fortranOutputFile$Lisp)::FileName -@ -<>= +\end{chunk} +\begin{chunk}{FTEM.dotabb} "FTEM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FTEM"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "FTEM" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FT FortranType} -<>= +\begin{chunk}{FortranType.input} )set break resume )sys rm -f FortranType.output )spool FortranType.output @@ -45562,8 +46061,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FortranType.help} ==================================================================== FortranType examples ==================================================================== @@ -45571,7 +46070,7 @@ See Also: o )show FortranType -@ +\end{chunk} \pagehead{FortranType}{FT} \pagepic{ps/v103fortrantype.ps}{FT}{1.00} @@ -45600,7 +46099,7 @@ \cross{FT}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain FT FortranType} )abbrev domain FT FortranType ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -45707,19 +46206,19 @@ fortranLogical():$ == ("logical"::FST)::$ -@ -<>= +\end{chunk} +\begin{chunk}{FT.dotabb} "FT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FT"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "FT" -> "PID" "FT" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FCOMP FourierComponent} -<>= +\begin{chunk}{FourierComponent.input} )set break resume )sys rm -f FourierComponent.output )spool FourierComponent.output @@ -45748,8 +46247,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FourierComponent.help} ==================================================================== FourierComponent examples ==================================================================== @@ -45757,7 +46256,7 @@ See Also: o )show FourierComponent -@ +\end{chunk} \pagehead{FourierComponent}{FCOMP} \pagepic{ps/v103fouriercomponent.ps}{FCOMP}{1.00} @@ -45783,7 +46282,7 @@ \cross{FCOMP}{?$>=$?} \end{tabular} -<>= +\begin{chunk}{domain FCOMP FourierComponent} )abbrev domain FCOMP FourierComponent ++ Author: James Davenport ++ Date Created: 17 April 1992 @@ -45826,17 +46325,17 @@ x.SinIfTrue => false y.SinIfTrue -@ -<>= +\end{chunk} +\begin{chunk}{FCOMP.dotabb} "FCOMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FCOMP"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "FCOMP" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FSERIES FourierSeries} -<>= +\begin{chunk}{FourierSeries.input} )set break resume )sys rm -f FourierSeries.output )spool FourierSeries.output @@ -45875,8 +46374,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FourierSeries.help} ==================================================================== FourierSeries examples ==================================================================== @@ -45884,7 +46383,7 @@ See Also: o )show FourierSeries -@ +\end{chunk} \pagehead{FourierSeries}{FSERIES} \pagepic{ps/v103fourierseries.ps}{FSERIES}{1.00} @@ -45916,7 +46415,7 @@ \cross{FSERIES}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain FSERIES FourierSeries} )abbrev domain FSERIES FourierSeries ++ Author: James Davenport ++ Date Created: 17 April 1992 @@ -45989,19 +46488,19 @@ a<0 => [[sin(-a),-r]] [[sin a,r]] -@ -<>= +\end{chunk} +\begin{chunk}{FSERIES.dotabb} "FSERIES" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FSERIES"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "FSERIES" -> "PID" "FSERIES" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FRAC Fraction} -<>= +\begin{chunk}{Fraction.input} )set break resume )sys rm -f Fraction.output )spool Fraction.output @@ -46133,8 +46632,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Fraction.help} ==================================================================== Fraction examples ==================================================================== @@ -46255,7 +46754,7 @@ o )help Integer o )show Fraction -@ +\end{chunk} \pagehead{Fraction}{FRAC} \pagepic{ps/v103fraction.ps}{FRAC}{1.00} {\bf See}\\ @@ -46346,7 +46845,7 @@ \cross{FRAC}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain FRAC Fraction} )abbrev domain FRAC Fraction ++ Author: Mark Botch ++ Date Created: @@ -46674,17 +47173,17 @@ w.xpnt] for w in factorList ff] makeFR(map(x+->x::%/den1,unit(ff)),lfact) -@ -<>= +\end{chunk} +\begin{chunk}{FRAC.dotabb} "FRAC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FRAC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FRAC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FRIDEAL FractionalIdeal} -<>= +\begin{chunk}{FractionalIdeal.input} )set break resume )sys rm -f FractionalIdeal.output )spool FractionalIdeal.output @@ -46720,8 +47219,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FractionalIdeal.help} ==================================================================== FractionalIdeal examples ==================================================================== @@ -46729,7 +47228,7 @@ See Also: o )show FractionalIdeal -@ +\end{chunk} \pagehead{FractionalIdeal}{FRIDEAL} \pagepic{ps/v103fractionalideal.ps}{FRIDEAL}{1.00} @@ -46767,7 +47266,7 @@ \cross{FRIDEAL}{?\^{}?} \end{tabular} -<>= +\begin{chunk}{domain FRIDEAL FractionalIdeal} )abbrev domain FRIDEAL FractionalIdeal ++ Author: Manuel Bronstein ++ Date Created: 27 Jan 1989 @@ -46936,17 +47435,17 @@ (u := tryRange(range, nm, nrm, i)) case $ => return(u::$) i -@ -<>= +\end{chunk} +\begin{chunk}{FRIDEAL.dotabb} "FRIDEAL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FRIDEAL"] "FRAMALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRAMALG"] "FRIDEAL" -> "FRAMALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FRMOD FramedModule} -<>= +\begin{chunk}{FramedModule.input} )set break resume )sys rm -f FramedModule.output )spool FramedModule.output @@ -46978,8 +47477,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FramedModule.help} ==================================================================== FramedModule examples ==================================================================== @@ -46987,7 +47486,7 @@ See Also: o )show FramedModule -@ +\end{chunk} \pagehead{FramedModule}{FRMOD} \pagepic{ps/v103framedmodule.ps}{FRMOD}{1.00} @@ -47016,7 +47515,7 @@ \cross{FRMOD}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain FRMOD FramedModule} )abbrev domain FRMOD FramedModule ++ Author: Manuel Bronstein ++ Date Created: 27 Jan 1989 @@ -47121,17 +47620,17 @@ module(i:FractionalIdeal(R, F, UP, A)) == module(basis i) * module(ibasis) -@ -<>= +\end{chunk} +\begin{chunk}{FRMOD.dotabb} "FRMOD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FRMOD"] "FRAMALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRAMALG"] "FRMOD" -> "FRAMALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FAGROUP FreeAbelianGroup} -<>= +\begin{chunk}{FreeAbelianGroup.input} )set break resume )sys rm -f FreeAbelianGroup.output )spool FreeAbelianGroup.output @@ -47176,8 +47675,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeAbelianGroup.help} ==================================================================== FreeAbelianGroup examples ==================================================================== @@ -47185,7 +47684,7 @@ See Also: o )show FreeAbelianGroup -@ +\end{chunk} \pagehead{FreeAbelianGroup}{FAGROUP} \pagepic{ps/v103freeabeliangroup.ps}{FAGROUP}{1.00} @@ -47229,7 +47728,7 @@ \cross{FAGROUP}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain FAGROUP FreeAbelianGroup} )abbrev domain FAGROUP FreeAbelianGroup ++ Free abelian group on any set of generators ++ Author: Manuel Bronstein @@ -47272,19 +47771,19 @@ lc := ta.exp * ta.gen (a - lc) < (b - lc) -@ -<>= +\end{chunk} +\begin{chunk}{FAGROUP.dotabb} "FAGROUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FAGROUP"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "FAGROUP" -> "PID" "FAGROUP" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FAMONOID FreeAbelianMonoid} -<>= +\begin{chunk}{FreeAbelianMonoid.input} )set break resume )sys rm -f FreeAbelianMonoid.output )spool FreeAbelianMonoid.output @@ -47322,8 +47821,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeAbelianMonoid.help} ==================================================================== FreeAbelianMonoid examples ==================================================================== @@ -47331,7 +47830,7 @@ See Also: o )show FreeAbelianMonoid -@ +\end{chunk} \pagehead{FreeAbelianMonoid}{FAMONOID} \pagepic{ps/v103freeabelianmonoid.ps}{FAMONOID}{1.00} @@ -47367,7 +47866,7 @@ \cross{FAMONOID}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain FAMONOID FreeAbelianMonoid} )abbrev domain FAMONOID FreeAbelianMonoid ++ Free abelian monoid on any set of generators ++ Author: Manuel Bronstein @@ -47382,17 +47881,17 @@ FreeAbelianMonoidCategory(S, NonNegativeInteger) == InnerFreeAbelianMonoid(S, NonNegativeInteger, 1) -@ -<>= +\end{chunk} +\begin{chunk}{FAMONOID.dotabb} "FAMONOID" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FAMONOID"] "OAMONS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMONS"] "FAMONOID" -> "OAMONS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FGROUP FreeGroup} -<>= +\begin{chunk}{FreeGroup.input} )set break resume )sys rm -f FreeGroup.output )spool FreeGroup.output @@ -47432,8 +47931,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeGroup.help} ==================================================================== FreeGroup examples ==================================================================== @@ -47441,7 +47940,7 @@ See Also: o )show FreeGroup -@ +\end{chunk} \pagehead{FreeGroup}{FGROUP} \pagepic{ps/v103freegroup.ps}{FGROUP}{1.00} @@ -47480,7 +47979,7 @@ \cross{FGROUP}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain FGROUP FreeGroup} )abbrev domain FGROUP FreeGroup ++ Free group on any set of generators ++ Author: Stephen M. Watt @@ -47543,19 +48042,19 @@ makeMulti concat_!(h, rest q) makeMulti concat_!(reverse_! r, q) -@ -<>= +\end{chunk} +\begin{chunk}{FGROUP.dotabb} "FGROUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FGROUP"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "FGROUP" -> "FLAGG" "FGROUP" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FM FreeModule} -<>= +\begin{chunk}{FreeModule.input} )set break resume )sys rm -f FreeModule.output )spool FreeModule.output @@ -47588,8 +48087,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeModule.help} ==================================================================== FreeModule examples ==================================================================== @@ -47597,7 +48096,7 @@ See Also: o )show FreeModule -@ +\end{chunk} \pagehead{FreeModule}{FM} \pagepic{ps/v103freemodule.ps}{FM}{1.00} @@ -47628,7 +48127,7 @@ \cross{FM}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain FM FreeModule} )abbrev domain FM FreeModule ++ Author: Dave Barton, James Davenport, Barry Trager ++ Date Created: @@ -47696,17 +48195,17 @@ le := cons(rec.c :: OutputForm * rec.k :: OutputForm, le) reduce("+",le) -@ -<>= +\end{chunk} +\begin{chunk}{FM.dotabb} "FM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FM"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FM" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FM1 FreeModule1} -<>= +\begin{chunk}{FreeModule1.input} )set break resume )sys rm -f FreeModule1.output )spool FreeModule1.output @@ -47747,8 +48246,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeModule1.help} ==================================================================== FreeModule1 examples ==================================================================== @@ -47756,7 +48255,7 @@ See Also: o )show FreeModule1 -@ +\end{chunk} \pagehead{FreeModule1}{FM1} \pagepic{ps/v103freemodule1.ps}{FM1}{1.00} @@ -47792,7 +48291,7 @@ \cross{FM1}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain FM1 FreeModule1} )abbrev domain FM1 FreeModule1 ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -47890,17 +48389,17 @@ x.first.k = s => x.first.c 0$R -@ -<>= +\end{chunk} +\begin{chunk}{FM1.dotabb} "FM1" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FM1"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FM1" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FMONOID FreeMonoid} -<>= +\begin{chunk}{FreeMonoid.input} )set break resume )sys rm -f FreeMonoid.output )spool FreeMonoid.output @@ -47949,8 +48448,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeMonoid.help} ==================================================================== FreeMonoid examples ==================================================================== @@ -47958,7 +48457,7 @@ See Also: o )show FreeMonoid -@ +\end{chunk} \pagehead{FreeMonoid}{FMONOID} \pagepic{ps/v103freemonoid.ps}{FMONOID}{1.00} @@ -48005,7 +48504,7 @@ \cross{FMONOID}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain FMONOID FreeMonoid} )abbrev domain FMONOID FreeMonoid ++ Free monoid on any set of generators ++ Author: Stephen M. Watt @@ -48187,19 +48686,19 @@ na:=na-1 empty? la and not empty? lb -@ -<>= +\end{chunk} +\begin{chunk}{FMONOID.dotabb} "FMONOID" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FMONOID"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "FMONOID" -> "FLAGG-" "FMONOID" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FNLA FreeNilpotentLie} -<>= +\begin{chunk}{FreeNilpotentLie.input} )set break resume )sys rm -f FreeNilpotentLie.output )spool FreeNilpotentLie.output @@ -48238,8 +48737,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FreeNilpotentLie.help} ==================================================================== FreeNilpotentLie examples ==================================================================== @@ -48247,7 +48746,7 @@ See Also: o )show FreeNilpotentLie -@ +\end{chunk} \pagehead{FreeNilpotentLie}{FNLA} \pagepic{ps/v103freenilpotentlie.ps}{FNLA}{1.00} @@ -48283,7 +48782,7 @@ \cross{FNLA}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain FNLA FreeNilpotentLie} )abbrev domain FNLA FreeNilpotentLie ++ Author: Larry Lambe ++ Date Created: July 1988 @@ -48400,17 +48899,17 @@ lC(f)=1 => Fac(value(lS f))::O + deepExpand(reductum f) lC(f)::O * Fac(value(lS f))::O + deepExpand(reductum f) -@ -<>= +\end{chunk} +\begin{chunk}{FNLA.dotabb} "FNLA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FNLA"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "FNLA" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FPARFRAC FullPartialFractionExpansion} -<>= +\begin{chunk}{FullPartialFractionExpansion.input} )set break resume )sys rm -f FullPartialFractionExpansion.output )spool FullPartialFractionExpansion.output @@ -48664,8 +49163,8 @@ --E 16 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FullPartialFractionExpansion.help} ==================================================================== FullPartialFractionExpansion expansion ==================================================================== @@ -48883,7 +49382,7 @@ o )help PartialFraction o )show FullPartialFractionExpansion -@ +\end{chunk} \pagehead{FullPartialFractionExpansion}{FPARFRAC} \pagepic{ps/v103fullpartialfractionexpansion.ps}{FPARFRAC}{1.00} @@ -48904,7 +49403,7 @@ \cross{FPARFRAC}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain FPARFRAC FullPartialFractionExpansion} )abbrev domain FPARFRAC FullPartialFractionExpansion ++ Author: Manuel Bronstein ++ Date Created: 9 December 1992 @@ -49082,17 +49581,17 @@ (n = 1) => f f ** (n::O) -@ -<>= +\end{chunk} +\begin{chunk}{FPARFRAC.dotabb} "FPARFRAC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FPARFRAC"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FPARFRAC" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FUNCTION FunctionCalled} -<>= +\begin{chunk}{FunctionCalled.input} )set break resume )sys rm -f FunctionCalled.output )spool FunctionCalled.output @@ -49116,8 +49615,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FunctionCalled.help} ==================================================================== FunctionCalled examples ==================================================================== @@ -49125,7 +49624,7 @@ See Also: o )show FunctionCalled -@ +\end{chunk} \pagehead{FunctionCalled}{FUNCTION} \pagepic{ps/v103functioncalled.ps}{FUNCTION}{1.00} @@ -49140,7 +49639,7 @@ \cross{FUNCTION}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain FUNCTION FunctionCalled} )abbrev domain FUNCTION FunctionCalled ++ Author: Mark Botch ++ Description: @@ -49155,19 +49654,19 @@ x = y == true latex(x:%):String == latex f -@ -<>= +\end{chunk} +\begin{chunk}{FUNCTION.dotabb} "FUNCTION" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FUNCTION"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FUNCTION" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter G} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GDMP GeneralDistributedMultivariatePolynomial} -<>= +\begin{chunk}{GeneralDistributedMultivariatePolynomial.input} )set break resume )sys rm -f GeneralDistributedMultivariatePolynomial.output )spool GeneralDistributedMultivariatePolynomial.output @@ -49275,9 +49774,9 @@ --E 10 )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{GeneralDistributedMultivariatePolynomial.help} ==================================================================== MultivariatePolynomial DistributedMultivariatePolynomial @@ -49376,7 +49875,7 @@ o )help DistributedMultivariatePolynomial o )show GeneralDistributedMultivariatePolynomial -@ +\end{chunk} \pagehead{GeneralDistributedMultivariatePolynomial}{GDMP} \pagepic{ps/v103generaldistributedmultivariatepolynomial.ps}{GDMP}{1.00} {\bf See}\\ @@ -49469,7 +49968,7 @@ \cross{GDMP}{?\^{}?} && \end{tabular} -<>= +\begin{chunk}{domain GDMP GeneralDistributedMultivariatePolynomial} )abbrev domain GDMP GeneralDistributedMultivariatePolynomial ++ Author: Barry Trager ++ Date Created: @@ -49720,17 +50219,17 @@ 1 = #lt => first lt reduce("+",lt) -@ -<>= +\end{chunk} +\begin{chunk}{GDMP.dotabb} "GDMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GDMP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "GDMP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GMODPOL GeneralModulePolynomial} -<>= +\begin{chunk}{GeneralModulePolynomial.input} )set break resume )sys rm -f GeneralModulePolynomial.output )spool GeneralModulePolynomial.output @@ -49767,8 +50266,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GeneralModulePolynomial.help} ==================================================================== GeneralModulePolynomial examples ==================================================================== @@ -49776,7 +50275,7 @@ See Also: o )show GeneralModulePolynomial -@ +\end{chunk} \pagehead{GeneralModulePolynomial}{GMODPOL} \pagepic{ps/v103generalmodulepolynomial.ps}{GMODPOL}{1.00} @@ -49809,7 +50308,7 @@ \cross{GMODPOL}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain GMODPOL GeneralModulePolynomial} )abbrev domain GMODPOL GeneralModulePolynomial ++ Author: Mark Botch ++ Description: @@ -49880,19 +50379,19 @@ multMonom(leadingCoefficient p, degree p, mp) + reductum(p) * mp -@ -<>= +\end{chunk} +\begin{chunk}{GMODPOL.dotabb} "GMODPOL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GMODPOL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "GMODPOL" -> "PFECAT" "GMODPOL" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GCNAALG GenericNonAssociativeAlgebra} -<>= +\begin{chunk}{GenericNonAssociativeAlgebra.input} )set break resume )sys rm -f GenericNonAssociativeAlgebra.output )spool GenericNonAssociativeAlgebra.output @@ -50003,8 +50502,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GenericNonAssociativeAlgebra.help} ==================================================================== GenericNonAssociativeAlgebra examples ==================================================================== @@ -50012,7 +50511,7 @@ See Also: o )show GenericNonAssociativeAlgebra -@ +\end{chunk} \pagehead{GenericNonAssociativeAlgebra}{GCNAALG} \pagepic{ps/v103genericnonassociativealgebra.ps}{GCNAALG}{1.00} @@ -50115,7 +50614,7 @@ \cross{GCNAALG}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain GCNAALG GenericNonAssociativeAlgebra} )abbrev domain GCNAALG GenericNonAssociativeAlgebra ++ Authors: J. Grabmeier, R. Wisbauer ++ Date Created: 26 June 1991 @@ -50409,17 +50908,17 @@ --eval(rf, ls, coefOfa)$FPR --le : List Equation PR := [equation(lh,rh) for lh in ls for rh in coefOfa] -@ -<>= +\end{chunk} +\begin{chunk}{GCNAALG.dotabb} "GCNAALG" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GCNAALG"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "GCNAALG" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GPOLSET GeneralPolynomialSet} -<>= +\begin{chunk}{GeneralPolynomialSet.input} )set break resume )sys rm -f GeneralPolynomialSet.output )spool GeneralPolynomialSet.output @@ -50488,8 +50987,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GeneralPolynomialSet.help} ==================================================================== GeneralPolynomialSet examples ==================================================================== @@ -50497,7 +50996,7 @@ See Also: o )show GeneralPolynomialSet -@ +\end{chunk} \pagehead{GeneralPolynomialSet}{GPOLSET} \pagepic{ps/v103generalpolynomialset.ps}{GPOLSET}{1.00} @@ -50556,7 +51055,7 @@ \cross{GPOLSET}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain GPOLSET GeneralPolynomialSet} )abbrev domain GPOLSET GeneralPolynomialSet ++ Author: Marc Moreno Maza ++ Date Created: 04/26/1994 @@ -50636,17 +51135,17 @@ convert(lp:LP) : $ == construct lp -@ -<>= +\end{chunk} +\begin{chunk}{GPOLSET.dotabb} "GPOLSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GPOLSET"] "RPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RPOLCAT"] "GPOLSET" -> "RPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GSTBL GeneralSparseTable} -<>= +\begin{chunk}{GeneralSparseTable.input} )set break resume )sys rm -f GeneralSparseTable.output )spool GeneralSparseTable.output @@ -50683,8 +51182,8 @@ --E 7 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GeneralSparseTable.help} ==================================================================== GeneralSparseTable ==================================================================== @@ -50728,7 +51227,7 @@ See Also: o )show GeneralSparseTable -@ +\end{chunk} \pagehead{GeneralSparseTable}{GSTBL} \pagepic{ps/v103generalsparsetable.ps}{GSTBL}{1.00} {\bf See}\\ @@ -50798,7 +51297,7 @@ \cross{GSTBL}{?.?} \end{tabular} -<>= +\begin{chunk}{domain GSTBL GeneralSparseTable} )abbrev domain GSTBL GeneralSparseTable ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -50835,17 +51334,17 @@ (u := search(k, t)$Rep) case "failed" => dent u -@ -<>= +\end{chunk} +\begin{chunk}{GSTBL.dotabb} "GSTBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GSTBL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "GSTBL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GTSET GeneralTriangularSet} -<>= +\begin{chunk}{GeneralTriangularSet.input} )set break resume )sys rm -f GeneralTriangularSet.output )spool GeneralTriangularSet.output @@ -50937,8 +51436,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GeneralTriangularSet.help} ==================================================================== GeneralTriangularSet examples ==================================================================== @@ -50946,7 +51445,7 @@ See Also: o )show GeneralTriangularSet -@ +\end{chunk} \pagehead{GeneralTriangularSet}{GTSET} \pagepic{ps/v103generaltriangularset.ps}{GTSET}{1.00} @@ -51037,7 +51536,7 @@ \cross{GTSET}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain GTSET GeneralTriangularSet} )abbrev domain GTSET GeneralTriangularSet ++ Author: Marc Moreno Maza (marc@nag.co.uk) ++ Date Created: 10/06/1995 @@ -51144,17 +51643,17 @@ not (mvar(ts) < mvar(p)) => "failed"::Union($,"failed") (per(cons(p,rep(ts))))::Union($,"failed") -@ -<>= +\end{chunk} +\begin{chunk}{GTSET.dotabb} "GTSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GTSET"] "RPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RPOLCAT"] "GTSET" -> "RPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GSERIES GeneralUnivariatePowerSeries} -<>= +\begin{chunk}{GeneralUnivariatePowerSeries.input} )set break resume )sys rm -f GeneralUnivariatePowerSeries.output )spool GeneralUnivariatePowerSeries.output @@ -51297,8 +51796,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GeneralUnivariatePowerSeries.help} ==================================================================== GeneralUnivariatePowerSeries examples ==================================================================== @@ -51306,7 +51805,7 @@ See Also: o )show GeneralUnivariatePowerSeries -@ +\end{chunk} \pagehead{GeneralUnivariatePowerSeries}{GSERIES} \pagepic{ps/v103generalunivariatepowerseries.ps}{GSERIES}{1.00} @@ -51412,7 +51911,7 @@ \cross{GSERIES}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain GSERIES GeneralUnivariatePowerSeries} )abbrev domain GSERIES GeneralUnivariatePowerSeries ++ Author: Clifton J. Williamson ++ Date Created: 22 September 1993 @@ -51522,17 +52021,17 @@ map(x+->integrateWithOneAnswer(x,s),f) error "integrate: center is a function of variable of integration" -@ -<>= +\end{chunk} +\begin{chunk}{GSERIES.dotabb} "GSERIES" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GSERIES"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "GSERIES" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GRIMAGE GraphImage} -<>= +\begin{chunk}{GraphImage.input} )set break resume )sys rm -f GraphImage.output )spool GraphImage.output @@ -51572,8 +52071,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GraphImage.help} ==================================================================== GraphImage examples ==================================================================== @@ -51581,7 +52080,7 @@ See Also: o )show GraphImage -@ +\end{chunk} \pagehead{GraphImage}{GRIMAGE} \pagepic{ps/v103graphimage.ps}{GRIMAGE}{1.00} @@ -51606,7 +52105,7 @@ \cross{GRIMAGE}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain GRIMAGE GraphImage} )abbrev domain GRIMAGE GraphImage ++ Author: Jim Wen ++ Date Created: 27 April 1989 @@ -52013,17 +52512,17 @@ hconcat( ["Graph with " :: E,(p := # pointLists graf) :: E, (p=1 => " point list"; " point lists") :: E]) -@ -<>= +\end{chunk} +\begin{chunk}{GRIMAGE.dotabb} "GRIMAGE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GRIMAGE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "GRIMAGE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GOPT GuessOption} -<>= +\begin{chunk}{GuessOption.input} )set break resume )sys rm -f GuessOption.output )spool GuessOption.output @@ -52041,11 +52540,12 @@ --R------------------------------- Operations -------------------------------- --R ?=? : (%,%) -> Boolean allDegrees : Boolean -> % --R checkExtraValues : Boolean -> % coerce : % -> OutputForm ---R debug : Boolean -> % displayAsGF : Boolean -> % ---R functionName : Symbol -> % hash : % -> SingleInteger ---R indexName : Symbol -> % latex : % -> String ---R one : Boolean -> % safety : NonNegativeInteger -> % ---R variableName : Symbol -> % ?~=? : (%,%) -> Boolean +--R debug : Boolean -> % displayKind : Symbol -> % +--R functionName : Symbol -> % functionNames : List Symbol -> % +--R hash : % -> SingleInteger indexName : Symbol -> % +--R latex : % -> String one : Boolean -> % +--R safety : NonNegativeInteger -> % variableName : Symbol -> % +--R ?~=? : (%,%) -> Boolean --R Somos : Union(PositiveInteger,Boolean) -> % --R check : Union(skip,MonteCarlo,deterministic) -> % --R homogeneous : Union(PositiveInteger,Boolean) -> % @@ -52062,8 +52562,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GuessOption.help} ==================================================================== GuessOption examples ==================================================================== @@ -52071,7 +52571,7 @@ See Also: o )show GuessOption -@ +\end{chunk} \pagehead{GuessOption}{GOPT} \pagepic{ps/v103guessoption.ps}{GOPT}{1.00} @@ -52086,30 +52586,31 @@ \cross{GOPT}{checkExtraValues} & \cross{GOPT}{coerce} & \cross{GOPT}{debug} & -\cross{GOPT}{displayAsGF} & +\cross{GOPT}{displayKind} & \cross{GOPT}{functionName} \\ +\cross{GOPT}{functionNames} & \cross{GOPT}{hash} & \cross{GOPT}{homogeneous} & \cross{GOPT}{indexName} & -\cross{GOPT}{latex} & -\cross{GOPT}{maxDegree} \\ +\cross{GOPT}{latex} \\ +\cross{GOPT}{maxDegree} & \cross{GOPT}{maxDerivative} & \cross{GOPT}{maxLevel} & \cross{GOPT}{maxMixedDegree} & -\cross{GOPT}{maxPower} & -\cross{GOPT}{maxShift} \\ +\cross{GOPT}{maxPower} \\ +\cross{GOPT}{maxShift} & \cross{GOPT}{maxSubst} & \cross{GOPT}{one} & \cross{GOPT}{option} & -\cross{GOPT}{safety} & +\cross{GOPT}{safety} \cross{GOPT}{variableName} \end{tabular} -<>= +\begin{chunk}{domain GOPT GuessOption} )abbrev domain GOPT GuessOption ++ Author: Martin Rubey ++ Description: GuessOption is a domain whose elements are various options used -++ by \spadtype{Guess}. +++ by Guess. GuessOption(): Exports == Implementation where Exports == SetCategory with @@ -52205,6 +52706,11 @@ ++ algebraic differential equation or recurrence. This option is ++ expressed in the form \spad{functionName == d}. + functionNames: List(Symbol) -> % + ++ functionNames(d) specifies the names for the function in + ++ algebraic dependence. This option is + ++ expressed in the form \spad{functionNames == d}. + variableName: Symbol -> % ++ variableName(d) specifies the variable used in by the algebraic ++ differential equation. This option is expressed in the form @@ -52214,10 +52720,10 @@ ++ indexName(d) specifies the index variable used for the formulas. This ++ option is expressed in the form \spad{indexName == d}. - displayAsGF: Boolean -> % - ++ displayAsGF(d) specifies whether the result is a generating function - ++ or a recurrence. This option should not be set by the user, but rather - ++ by the HP-specification. + displayKind: Symbol -> % + ++ displayKind(d) specifies kind of the result: generating function, + ++ recurrence or equation. This option should not be set by the + ++ user, but rather by the HP-specification. option : (List %, Symbol) -> Union(Any, "failed") ++ option(l, option) returns which options are given. @@ -52252,9 +52758,11 @@ checkExtraValues d == ['checkExtraValues, d::Any] one d == ['one, d::Any] functionName d == ['functionName, d::Any] + functionNames d == + ['functionNames, coerce(d)$AnyFunctions1(List(Symbol))] variableName d == ['variableName, d::Any] indexName d == ['indexName, d::Any] - displayAsGF d == ['displayAsGF, d::Any] + displayKind d == ['displayKind, d::Any] coerce(x:%):OutputForm == x.keyword::OutputForm = x.value::OutputForm x:% = y:% == x.keyword = y.keyword and x.value = y.value @@ -52264,17 +52772,17 @@ x.keyword = s => return(x.value) "failed" -@ -<>= +\end{chunk} +\begin{chunk}{GOPT.dotabb} "GOPT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GOPT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "GOPT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain GOPT0 GuessOptionFunctions0} -<>= +\begin{chunk}{GuessOptionFunctions0.input} )set break resume )sys rm -f GuessOptionFunctions0.output )spool GuessOptionFunctions0.output @@ -52315,8 +52823,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GuessOptionFunctions0.help} ==================================================================== GuessOptionFunctions0 examples ==================================================================== @@ -52324,7 +52832,7 @@ See Also: o )show GuessOptionFunctions0 -@ +\end{chunk} \pagehead{GuessOptionFunctions0}{GOPT0} \pagepic{ps/v103guessoptionfunctions0.eps}{GOPT0}{1.00} @@ -52357,7 +52865,7 @@ \cross{GOPT0}{variableName} \end{tabular} -<>= +\begin{chunk}{domain GOPT0 GuessOptionFunctions0} )abbrev domain GOPT0 GuessOptionFunctions0 ++ Author: Martin Rubey ++ Description: @@ -52621,19 +53129,19 @@ "Guess: homogeneous requires that maxShift/maxDerivative",_ " is at least one or maxSubst is at least two" ] error err -@ -<>= +\end{chunk} +\begin{chunk}{GOPT0.dotabb} "GOPT0" [color="#88FF44",href="bookvol10.3.pdf#nameddest=GOPT0"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "GOPT0" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter H} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HASHTBL HashTable} -<>= +\begin{chunk}{HashTable.input} )set break resume )sys rm -f HashTable.output )spool HashTable.output @@ -52726,8 +53234,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HashTable.help} ==================================================================== HashTable examples ==================================================================== @@ -52735,7 +53243,7 @@ See Also: o )show HashTable -@ +\end{chunk} \pagehead{HashTable}{HASHTBL} \pagepic{ps/v103hashtable.ps}{HASHTBL}{1.00} @@ -52806,7 +53314,7 @@ \cross{HASHTBL}{?.?} \end{tabular} -<>= +\begin{chunk}{domain HASHTBL HashTable} )abbrev domain HASHTBL HashTable ++ Author: Stephen M. Watt ++ Date Created: 1985 @@ -52855,17 +53363,17 @@ not EQ(r, failMsg)$Lisp => r pretend Entry "failed" -@ -<>= +\end{chunk} +\begin{chunk}{HASHTBL.dotabb} "HASHTBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HASHTBL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "HASHTBL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HEAP Heap} -<>= +\begin{chunk}{Heap.input} )set break resume )sys rm -f Heap.output )spool Heap.output @@ -53250,8 +53758,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Heap.help} ==================================================================== Heap examples ==================================================================== @@ -53472,7 +53980,7 @@ o )show Heap o )show BagAggregate -@ +\end{chunk} \pagehead{Heap}{HEAP} \pagepic{ps/v103heap.ps}{HEAP}{1.00} {\bf See}\\ @@ -53516,7 +54024,7 @@ \cross{HEAP}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain HEAP Heap} )abbrev domain HEAP Heap ++ Author: Michael Monagan and Stephen Watt ++ Date Created:June 86 and July 87 @@ -53728,17 +54236,17 @@ merge(a,b) == makeHeap concat(a,b) merge_!(a,b) == makeHeap concat_!(a,b) -@ -<>= +\end{chunk} +\begin{chunk}{HEAP.dotabb} "HEAP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HEAP"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "HEAP" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HEXADEC HexadecimalExpansion} -<>= +\begin{chunk}{HexadecimalExpansion.input} )set break resume )sys rm -f HexadecimalExpansion.output )spool HexadecimalExpansion.output @@ -53814,8 +54322,8 @@ --E 7 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HexadecimalExpansion.help} ==================================================================== HexadecimalExpansion ==================================================================== @@ -53881,7 +54389,7 @@ o )help DecimalExpansion o )show HexadecimalExpansion -@ +\end{chunk} \pagehead{HexadecimalExpansion}{HEXADEC} \pagepic{ps/v103hexadecimalexpansion.ps}{HEXADEC}{1.00} {\bf See}\\ @@ -53973,7 +54481,7 @@ \cross{HEXADEC}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain HEXADEC HexadecimalExpansion} )abbrev domain HEXADEC HexadecimalExpansion ++ Author: Clifton J. Williamson ++ Date Created: April 26, 1990 @@ -54005,13 +54513,13 @@ hex r == r :: % coerce(x:%): RadixExpansion(16) == x pretend RadixExpansion(16) -@ -<>= +\end{chunk} +\begin{chunk}{HEXADEC.dotabb} "HEXADEC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HEXADEC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "HEXADEC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package HTMLFORM HTMLFormat} Here I have put some information about 'how to use' and 'the benefits of' @@ -54160,7 +54668,7 @@ be better spent creating a version of OutputForm which has better syntax information. -<>= +\begin{chunk}{HTMLFormat.input} )set break resume )sys rm -f HTMLFormat.output )spool HTMLFormat.output @@ -54291,8 +54799,8 @@ --E 9 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HTMLFormat.help} ==================================================================== HTMLFormat examples ==================================================================== @@ -54360,7 +54868,7 @@ See Also: o )show HTMLFormat -@ +\end{chunk} \pagehead{HTMLFormat}{HTMLFORM} \pagepic{ps/v103htmlformat.eps}{HTMLFORM}{1.00} @@ -54380,7 +54888,7 @@ \cross{HTMLFORM}{latex} & \end{tabular} -<>= +\begin{chunk}{domain HTMLFORM HTMLFormat} )abbrev domain HTMLFORM HTMLFormat ++ Author: Martin J Baker, Arthur C. Ralfs, Robert S. Sutor ++ Date: January 2010 @@ -55220,17 +55728,17 @@ op1 := formatHtml(first l,minPrec) formatFunction(op1,args,prec) -@ -<>= +\end{chunk} +\begin{chunk}{HTMLFORM.dotabb} "HTMLFORM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HTMLFORM"] "STRING" [color="#4488FF",href="bookvol10.2.pdf#nameddest=STRING"] "HTMLFORM" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HDP HomogeneousDirectProduct} -<>= +\begin{chunk}{HomogeneousDirectProduct.input} )set break resume )sys rm -f HomogeneousDirectProduct.output )spool HomogeneousDirectProduct.output @@ -55354,8 +55862,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HomogeneousDirectProduct.help} ==================================================================== HomogeneousDirectProduct examples ==================================================================== @@ -55363,7 +55871,7 @@ See Also: o )show HomogeneousDirectProduct -@ +\end{chunk} \pagehead{HomogeneousDirectProduct}{HDP} \pagepic{ps/v103homogeneousdirectproduct.ps}{HDP}{1.00} @@ -55450,7 +55958,7 @@ \cross{HDP}{?.?} \end{tabular} -<>= +\begin{chunk}{domain HDP HomogeneousDirectProduct} )abbrev domain HDP HomogeneousDirectProduct ++ Author: Mark Botch ++ Date Created: @@ -55489,17 +55997,17 @@ if qelt(v1,i) < qelt(v2,i) then return false false -@ -<>= +\end{chunk} +\begin{chunk}{HDP.dotabb} "HDP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HDP"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "HDP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HDMP HomogeneousDistributedMultivariatePolynomial} -<>= +\begin{chunk}{HomogeneousDistributedMultivariatePolynomial.input} )set break resume )sys rm -f HomogeneousDistributedMultivariatePolynomial.output )spool HomogeneousDistributedMultivariatePolynomial.output @@ -55607,9 +56115,9 @@ --E 10 )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{HomogeneousDistributedMultivariatePolynomial.help} ==================================================================== MultivariatePolynomial DistributedMultivariatePolynomial @@ -55708,7 +56216,7 @@ o )help GeneralDistributedMultivariatePolynomial o )show HomogeneousDistributedMultivariatePolynomial -@ +\end{chunk} \pagehead{HomogeneousDistributedMultivariatePolynomial}{HDMP} \pagepic{ps/v103homogeneousdistributedmultivariatepolynomial.ps}{HDMP}{1.00} {\bf See}\\ @@ -55804,7 +56312,7 @@ \cross{HDMP}{?\^{}?} && \end{tabular} -<>= +\begin{chunk}{domain HDMP HomogeneousDistributedMultivariatePolynomial} )abbrev domain HDMP HomogeneousDistributedMultivariatePolynomial ++ Author: Barry Trager ++ Date Created: @@ -55838,19 +56346,19 @@ private == GeneralDistributedMultivariatePolynomial(vl,R,E) -@ -<>= +\end{chunk} +\begin{chunk}{HDMP.dotabb} "HDMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HDMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "HDMP" -> "PFECAT" "HDMP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HELLFDIV HyperellipticFiniteDivisor} -<>= +\begin{chunk}{HyperellipticFiniteDivisor.input} )set break resume )sys rm -f HyperellipticFiniteDivisor.output )spool HyperellipticFiniteDivisor.output @@ -55887,8 +56395,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{HyperellipticFiniteDivisor.help} ==================================================================== HyperellipticFiniteDivisor examples ==================================================================== @@ -55896,7 +56404,7 @@ See Also: o )show HyperellipticFiniteDivisor -@ +\end{chunk} \pagehead{HyperellipticFiniteDivisor}{HELLFDIV} \pagepic{ps/v103hyperellipticfinitedivisor.ps}{HELLFDIV}{1.00} @@ -55928,7 +56436,7 @@ \cross{HELLFDIV}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain HELLFDIV HyperellipticFiniteDivisor} )abbrev domain HELLFDIV HyperellipticFiniteDivisor ++ Author: Manuel Bronstein ++ Date Created: 19 May 1993 @@ -56094,19 +56602,19 @@ bb := ((numer(b) * rec.coef1) exquo rec.generator)::UP rem a reduce makeDivisor(a, bb, 1) -@ -<>= +\end{chunk} +\begin{chunk}{HELLFDIV.dotabb} "HELLFDIV" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HELLFDIV"] "FDIVCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FDIVCAT"] "HELLFDIV" -> "FDIVCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter I} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ICP InfClsPt} -<>= +\begin{chunk}{InfClsPt.input} )set break resume )sys rm -f InfClsPt.output )spool InfClsPt.output @@ -56150,8 +56658,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InfClsPt.help} ==================================================================== InfClsPt examples ==================================================================== @@ -56159,7 +56667,7 @@ See Also: o )show InfClsPt -@ +\end{chunk} \pagehead{InfClsPt}{ICP} \pagepic{ps/v103infclspt.eps}{ICP}{1.00} @@ -56195,7 +56703,7 @@ \cross{IC}{symbNameV} && \end{tabular} -<>= +\begin{chunk}{domain ICP InfClsPt} )abbrev domain ICP InfClsPt ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -56231,19 +56739,19 @@ PCS,Plc,DIVISOR,BLMET) -@ -<>= +\end{chunk} +\begin{chunk}{ICP.dotabb} "ICP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ICP"] "INFCLSPT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INFCLSPT"] "PLACES" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLACES"] "ICP" -> "INFCLSPT" "ICP" -> "PLACES" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ICARD IndexCard} -<>= +\begin{chunk}{IndexCard.input} )set break resume )sys rm -f IndexCard.output )spool IndexCard.output @@ -56272,8 +56780,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexCard.help} ==================================================================== IndexCard examples ==================================================================== @@ -56281,7 +56789,7 @@ See Also: o )show IndexCard -@ +\end{chunk} \pagehead{IndexCard}{ICARD} \pagepic{ps/v103indexcard.ps}{ICARD}{1.00} @@ -56308,7 +56816,7 @@ \cross{ICARD}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain ICARD IndexCard} )abbrev domain ICARD IndexCard ++ Author: Mark Botch ++ Description: @@ -56367,17 +56875,17 @@ s = "doc" => dbComments(x)$Lisp error "unknown selector" -@ -<>= +\end{chunk} +\begin{chunk}{ICARD.dotabb} "ICARD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ICARD"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "ICARD" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IBITS IndexedBits} -<>= +\begin{chunk}{IndexedBits.input} )set break resume )sys rm -f IndexedBits.output )spool IndexedBits.output @@ -56489,9 +56997,9 @@ --E 13 )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{IndexedBits.help} ==================================================================== IndexedBits ==================================================================== @@ -56538,7 +57046,7 @@ See Also: o )show IndexedBits -@ +\end{chunk} \pagehead{IndexedBits}{IBITS} \pagepic{ps/v103indexedbits.ps}{IBITS}{1.00} {\bf See}\\ @@ -56625,7 +57133,7 @@ \cross{IBITS}{?and?} \end{tabular} -<>= +\begin{chunk}{domain IBITS IndexedBits} )abbrev domain IBITS IndexedBits ++ Author: Stephen Watt and Michael Monagan ++ Date Created: July 86 @@ -56684,17 +57192,17 @@ And(u, v) == (#v=#u => BVEC_-AND(v,u)$Lisp; map("and",v,u)) Or(u, v) == (#v=#u => BVEC_-OR(v, u)$Lisp; map("or", v,u)) -@ -<>= +\end{chunk} +\begin{chunk}{IBITS.dotabb} "IBITS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IBITS"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "IBITS" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IDPAG IndexedDirectProductAbelianGroup} -<>= +\begin{chunk}{IndexedDirectProductAbelianGroup.input} )set break resume )sys rm -f IndexedDirectProductAbelianGroup.output )spool IndexedDirectProductAbelianGroup.output @@ -56726,8 +57234,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedDirectProductAbelianGroup.help} ==================================================================== IndexedDirectProductAbelianGroup examples ==================================================================== @@ -56735,7 +57243,7 @@ See Also: o )show IndexedDirectProductAbelianGroup -@ +\end{chunk} \pagehead{IndexedDirectProductAbelianGroup}{IDPAG} \pagepic{ps/v103indexeddirectproductabeliangroup.ps}{IDPAG}{1.00} @@ -56767,7 +57275,7 @@ \cross{IDPAG}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain IDPAG IndexedDirectProductAbelianGroup} )abbrev domain IDPAG IndexedDirectProductAbelianGroup ++ Author: Mark Botch ++ Description: @@ -56836,19 +57344,19 @@ -- r = 0 => x.rest - y.rest -- cons([x.first.k,r],(x.rest - y.rest)) -@ -<>= +\end{chunk} +\begin{chunk}{IDPAG.dotabb} "IDPAG" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IDPAG"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "IDPC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=IDPC"] "IDPAG" -> "IDPC" "IDPAG" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IDPAM IndexedDirectProductAbelianMonoid} -<>= +\begin{chunk}{IndexedDirectProductAbelianMonoid.input} )set break resume )sys rm -f IndexedDirectProductAbelianMonoid.output )spool IndexedDirectProductAbelianMonoid.output @@ -56878,8 +57386,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedDirectProductAbelianMonoid.help} ==================================================================== IndexedDirectProductAbelianMonoid examples ==================================================================== @@ -56887,7 +57395,7 @@ See Also: o )show IndexedDirectProductAbelianMonoid -@ +\end{chunk} \pagehead{IndexedDirectProductAbelianMonoid}{IDPAM} \pagepic{ps/v103indexeddirectproductabelianmonoid.ps}{IDPAM}{1.00} @@ -56916,7 +57424,7 @@ \cross{IDPAM}{?=?} \end{tabular} -<>= +\begin{chunk}{domain IDPAM IndexedDirectProductAbelianMonoid} )abbrev domain IDPAM IndexedDirectProductAbelianMonoid ++ Author: Mark Botch ++ Description: @@ -56996,19 +57504,19 @@ reductum x == (null x => 0; rest x) leadingCoefficient x == (null x => 0; x.first.c) -@ -<>= +\end{chunk} +\begin{chunk}{IDPAM.dotabb} "IDPAM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IDPAM"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "IDPC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=IDPC"] "IDPAM" -> "IDPC" "IDPAM" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IDPO IndexedDirectProductObject} -<>= +\begin{chunk}{IndexedDirectProductObject.input} )set break resume )sys rm -f IndexedDirectProductObject.output )spool IndexedDirectProductObject.output @@ -57034,8 +57542,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedDirectProductObject.help} ==================================================================== IndexedDirectProductObject examples ==================================================================== @@ -57043,7 +57551,7 @@ See Also: o )show IndexedDirectProductObject -@ +\end{chunk} \pagehead{IndexedDirectProductObject}{IDPO} \pagepic{ps/v103indexeddirectproductobject.ps}{IDPO}{1.00} @@ -57067,7 +57575,7 @@ \cross{IDPO}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain IDPO IndexedDirectProductObject} )abbrev domain IDPO IndexedDirectProductObject ++ Author: Mark Botch ++ Description: @@ -57110,19 +57618,19 @@ null x => error "Can't take leadingCoefficient of empty product element" x.first.k -@ -<>= +\end{chunk} +\begin{chunk}{IDPO.dotabb} "IDPO" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IDPO"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "IDPC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=IDPC"] "IDPO" -> "IDPC" "IDPO" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IDPOAM IndexedDirectProductOrderedAbelianMonoid} -<>= +\begin{chunk}{IndexedDirectProductOrderedAbelianMonoid.input} )set break resume )sys rm -f IndexedDirectProductOrderedAbelianMonoid.output )spool IndexedDirectProductOrderedAbelianMonoid.output @@ -57155,8 +57663,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedDirectProductOrderedAbelianMonoid.help} ==================================================================== IndexedDirectProductOrderedAbelianMonoid examples ==================================================================== @@ -57164,7 +57672,7 @@ See Also: o )show IndexedDirectProductOrderedAbelianMonoid -@ +\end{chunk} \pagehead{IndexedDirectProductOrderedAbelianMonoid}{IDPOAM} \pagepic{ps/v103indexeddirectproductorderedabelianmonoid.ps}{IDPOAM}{1.00} @@ -57199,7 +57707,7 @@ \cross{IDPOAM}{?$>=$?} &&&& \end{tabular} -<>= +\begin{chunk}{domain IDPOAM IndexedDirectProductOrderedAbelianMonoid} )abbrev domain IDPOAM IndexedDirectProductOrderedAbelianMonoid ++ Author: Mark Botch ++ Description: @@ -57224,17 +57732,17 @@ y.first.c < x.first.c => false x.rest < y.rest -@ -<>= +\end{chunk} +\begin{chunk}{IDPOAM.dotabb} "IDPOAM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IDPOAM"] "OAMON" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMON"] "IDPOAM" -> "OAMON" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IDPOAMS IndexedDirectProductOrderedAbelianMonoidSup} -<>= +\begin{chunk}{IndexedDirectProductOrderedAbelianMonoidSup.input} )set break resume )sys rm -f IndexedDirectProductOrderedAbelianMonoidSup.output )spool IndexedDirectProductOrderedAbelianMonoidSup.output @@ -57268,8 +57776,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedDirectProductOrderedAbelianMonoidSup.help} ==================================================================== IndexedDirectProductOrderedAbelianMonoidSup examples ==================================================================== @@ -57277,7 +57785,7 @@ See Also: o )show IndexedDirectProductOrderedAbelianMonoidSup -@ +\end{chunk} \pagehead{IndexedDirectProductOrderedAbelianMonoidSup}{IDPOAMS} \pagepic{ps/v103indexeddirectproductorderedabelianmonoidsup.ps}{IDPOAMS}{1.00} @@ -57314,7 +57822,7 @@ \cross{IDPOAMS}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain IDPOAMS IndexedDirectProductOrderedAbelianMonoidSup} )abbrev domain IDPOAMS IndexedDirectProductOrderedAbelianMonoidSup ++ Author: Mark Botch ++ Description: @@ -57355,17 +57863,17 @@ u:=sup(x.first.c, y.first.c) cons([x.first.k,u],sup(x.rest,y.rest)) -@ -<>= +\end{chunk} +\begin{chunk}{IDPOAMS.dotabb} "IDPOAMS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IDPOAMS"] "OAMONS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMONS"] "IDPOAMS" -> "OAMONS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INDE IndexedExponents} -<>= +\begin{chunk}{IndexedExponents.input} )set break resume )sys rm -f IndexedExponents.output )spool IndexedExponents.output @@ -57401,8 +57909,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedExponents.help} ==================================================================== IndexedExponents examples ==================================================================== @@ -57410,7 +57918,7 @@ See Also: o )show IndexedExponents -@ +\end{chunk} \pagehead{IndexedExponents}{INDE} \pagepic{ps/v103indexedexponents.ps}{INDE}{1.00} @@ -57446,7 +57954,7 @@ \cross{INDE}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain INDE IndexedExponents} )abbrev domain INDE IndexedExponents ++ Author: James Davenport ++ Date Created: @@ -57478,17 +57986,17 @@ null rest x => coerceOF(first x) reduce("*",[coerceOF t for t in x]) -@ -<>= +\end{chunk} +\begin{chunk}{INDE.dotabb} "INDE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INDE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "INDE" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IFARRAY IndexedFlexibleArray} -<>= +\begin{chunk}{IndexedFlexibleArray.input} )set break resume )sys rm -f IndexedFlexibleArray.output )spool IndexedFlexibleArray.output @@ -57593,8 +58101,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedFlexibleArray.help} ==================================================================== IndexedFlexibleArray examples ==================================================================== @@ -57602,7 +58110,7 @@ See Also: o )show IndexedFlexibleArray -@ +\end{chunk} \pagehead{IndexedFlexibleArray}{IFARRAY} \pagepic{ps/v103indexedflexiblearray.ps}{IFARRAY}{1.00} @@ -57692,7 +58200,7 @@ \cross{IFARRAY}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain IFARRAY IndexedFlexibleArray} )abbrev domain IFARRAY IndexedFlexibleArray ++ Author: Michael Monagan July/87, modified SMW June/91 ++ Description: @@ -57926,17 +58434,17 @@ nlim ^= nlim0 => delete_!(a, i..) a -@ -<>= +\end{chunk} +\begin{chunk}{IFARRAY.dotabb} "IFARRAY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IFARRAY"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "IFARRAY" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ILIST IndexedList} -<>= +\begin{chunk}{IndexedList.input} )set break resume )sys rm -f IndexedList.output )spool IndexedList.output @@ -58065,8 +58573,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedList.help} ==================================================================== IndexedList examples ==================================================================== @@ -58074,7 +58582,7 @@ See Also: o )show IndexedList -@ +\end{chunk} \pagehead{IndexedList}{ILIST} \pagepic{ps/v103indexedlist.ps}{ILIST}{1.00} @@ -58186,7 +58694,7 @@ \cross{ILIST}{?.value} \end{tabular} -<>= +\begin{chunk}{domain ILIST IndexedList} )abbrev domain ILIST IndexedList ++ Author: Michael Monagan ++ Date Created: Sep 1987 @@ -58376,18 +58884,18 @@ q := mergeSort(f, q, n - l) merge_!(f, p, q) -@ -<>= +\end{chunk} +\begin{chunk}{ILIST.dotabb} "ILIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ILIST", shape=ellipse] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "ILIST" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IMATRIX IndexedMatrix} -<>= +\begin{chunk}{IndexedMatrix.input} )set break resume )sys rm -f IndexedMatrix.output )spool IndexedMatrix.output @@ -58479,8 +58987,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedMatrix.help} ==================================================================== IndexedMatrix examples ==================================================================== @@ -58488,7 +58996,7 @@ See Also: o )show IndexedMatrix -@ +\end{chunk} \pagehead{IndexedMatrix}{IMATRIX} \pagepic{ps/v103indexedmatrix.ps}{IMATRIX}{1.00} @@ -58571,7 +59079,7 @@ \cross{IMATRIX}{?-?} \end{tabular} -<>= +\begin{chunk}{domain IMATRIX IndexedMatrix} )abbrev domain IMATRIX IndexedMatrix ++ Author: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -58638,19 +59146,19 @@ inverse x == inverse(x)$MATLIN -@ -<>= +\end{chunk} +\begin{chunk}{IMATRIX.dotabb} "IMATRIX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IMATRIX"] "MATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MATCAT"] "VECTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=VECTCAT"] "IMATRIX" -> "MATCAT" "IMATRIX" -> "VECTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IARRAY1 IndexedOneDimensionalArray} -<>= +\begin{chunk}{IndexedOneDimensionalArray.input} )set break resume )sys rm -f IndexedOneDimensionalArray.output )spool IndexedOneDimensionalArray.output @@ -58743,8 +59251,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedOneDimensionalArray.help} ==================================================================== IndexedOneDimensionalArray examples ==================================================================== @@ -58752,7 +59260,7 @@ See Also: o )show IndexedOneDimensionalArray -@ +\end{chunk} \pagehead{IndexedOneDimensionalArray}{IARRAY1} \pagepic{ps/v103indexedonedimensionalarray.ps}{IARRAY1}{1.00} @@ -58846,7 +59354,7 @@ \cross{IARRAY1}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain IARRAY1 IndexedOneDimensionalArray} )abbrev domain IARRAY1 IndexedOneDimensionalArray ++ Author Micheal Monagan Aug/87 ++ Description: @@ -58862,7 +59370,7 @@ Qsetelt ==> SETELT$Lisp -- Qelt1 ==> QVELT_-1$Lisp -- Qsetelt1 ==> QSETVELT_-1$Lisp - Qnew ==> GETREFV$Lisp + Qnew ==> MAKE_-ARRAY$Lisp I ==> Integer #x == Qsize x @@ -58933,17 +59441,17 @@ i < mn or i > maxIndex(x) => error "index out of range" qsetelt_!(x, i, s) -@ -<>= +\end{chunk} +\begin{chunk}{IARRAY1.dotabb} "IARRAY1" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IARRAY1"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "IARRAY1" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ISTRING IndexedString} -<>= +\begin{chunk}{IndexedString.input} )set break resume )sys rm -f IndexedString.output )spool IndexedString.output @@ -59054,8 +59562,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedString.help} ==================================================================== IndexedString examples ==================================================================== @@ -59063,7 +59571,7 @@ See Also: o )show IndexedString -@ +\end{chunk} \pagehead{IndexedString}{ISTRING} \pagepic{ps/v103indexedstring.ps}{ISTRING}{1.00} @@ -59152,7 +59660,7 @@ \cross{ISTRING}{?.?} &&&& \end{tabular} -<>= +\begin{chunk}{domain ISTRING IndexedString} )abbrev domain ISTRING IndexedString ++ Authors: Stephen Watt, Michael Monagan, Manuel Bronstein 1986 .. 1991 -- The following Lisp dependencies are divided into two groups @@ -59348,14 +59856,14 @@ (p ^= n) and not suffix?(pattern(p+1..n), target) => false true -@ -<>= +\end{chunk} +\begin{chunk}{ISTRING.dotabb} "ISTRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ISTRING", shape=ellipse] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "ISTRING" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IARRAY2 IndexedTwoDimensionalArray} @@ -59369,7 +59877,7 @@ the first element of a 'Row' is the same as the index of the first column in an array and vice versa. -<>= +\begin{chunk}{IndexedTwoDimensionalArray.input} )set break resume )sys rm -f IndexedTwoDimensionalArray.output )spool IndexedTwoDimensionalArray.output @@ -59426,8 +59934,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedTwoDimensionalArray.help} ==================================================================== IndexedTwoDimensionalArray examples ==================================================================== @@ -59435,7 +59943,7 @@ See Also: o )show IndexedTwoDimensionalArray -@ +\end{chunk} \pagehead{IndexedTwoDimensionalArray}{IARRAY2} \pagepic{ps/v103indexedtwodimensionalarray.ps}{IARRAY2}{1.00} @@ -59487,7 +59995,7 @@ \cross{IARRAY2}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain IARRAY2 IndexedTwoDimensionalArray} )abbrev domain IARRAY2 IndexedTwoDimensionalArray ++ Author: Mark Botch ++ Description: @@ -59504,19 +60012,19 @@ Implementation ==> InnerIndexedTwoDimensionalArray(R,mnRow,mnCol,Row,Col) -@ -<>= +\end{chunk} +\begin{chunk}{IARRAY2.dotabb} "IARRAY2" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IARRAY2"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "ARR2CAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ARR2CAT"] "IARRAY2" -> "ARR2CAT" "IARRAY2" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IVECTOR IndexedVector} -<>= +\begin{chunk}{IndexedVector.input} )set break resume )sys rm -f IndexedVector.output )spool IndexedVector.output @@ -59620,8 +60128,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IndexedVector.help} ==================================================================== IndexedVector examples ==================================================================== @@ -59629,7 +60137,7 @@ See Also: o )show IndexedVector -@ +\end{chunk} \pagehead{IndexedVector}{IVECTOR} \pagepic{ps/v103indexedvector.ps}{IVECTOR}{1.00} @@ -59709,7 +60217,7 @@ \cross{IVECTOR}{?.?} &&&& \end{tabular} -<>= +\begin{chunk}{domain IVECTOR IndexedVector} )abbrev domain IVECTOR IndexedVector ++ Author: Mark Botch ++ Date Created: @@ -59727,17 +60235,17 @@ IndexedVector(R:Type, mn:Integer): VectorCategory R == IndexedOneDimensionalArray(R, mn) -@ -<>= +\end{chunk} +\begin{chunk}{IVECTOR.dotabb} "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "VECTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=VECTCAT"] "IVECTOR" -> "VECTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ITUPLE InfiniteTuple} -<>= +\begin{chunk}{InfiniteTuple.input} )set break resume )sys rm -f InfiniteTuple.output )spool InfiniteTuple.output @@ -59763,8 +60271,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InfiniteTuple.help} ==================================================================== InfiniteTuple examples ==================================================================== @@ -59772,7 +60280,7 @@ See Also: o )show InfiniteTuple -@ +\end{chunk} \pagehead{InfiniteTuple}{ITUPLE} \pagepic{ps/v103infinitetuple.ps}{ITUPLE}{1.00} @@ -59788,7 +60296,7 @@ \cross{ITUPLE}{select} \end{tabular} -<>= +\begin{chunk}{domain ITUPLE InfiniteTuple} )abbrev domain ITUPLE InfiniteTuple ++ Author: Clifton J. Williamson ++ Date Created: 16 February 1990 @@ -59826,17 +60334,17 @@ -- coerce x == -- coerce(x)$Stream(S) -@ -<>= +\end{chunk} +\begin{chunk}{ITUPLE.dotabb} "ITUPLE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ITUPLE"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "ITUPLE" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INFCLSPT InfinitlyClosePoint} -<>= +\begin{chunk}{InfinitlyClosePoint.input} )set break resume )sys rm -f InfinitlyClosePoint.output )spool InfinitlyClosePoint.output @@ -59878,8 +60386,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InfinitlyClosePoint.help} ==================================================================== InfinitlyClosePoint examples ==================================================================== @@ -59887,7 +60395,7 @@ See Also: o )show InfinitlyClosePoint -@ +\end{chunk} \pagehead{InfinitlyClosePoint}{INFCLSPT} \pagepic{ps/v103infinitlyclosepoint.eps}{INFCLSPT}{1.00} @@ -59924,7 +60432,7 @@ \cross{INFCLSPT}{symbNameV} & \end{tabular} -<>= +\begin{chunk}{domain INFCLSPT InfinitlyClosePoint} )abbrev domain INFCLSPT InfinitlyClosePoint ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -60095,17 +60603,17 @@ setsymbName_!(a:%,n:Symbol) ==(a:Rep)(symbName):=n -@ -<>= +\end{chunk} +\begin{chunk}{INFCLSPT.dotabb} "INFCLSPT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INFCLSPT"] "INFCLCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=INFCLCT"] "INFCLSPT" -> "INFCLCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INFCLSPS InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField} -<>= +\begin{chunk}{InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField.input} )set break resume )sys rm -f InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField.output )spool InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField.output @@ -60151,8 +60659,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField.help} ==================================================================== InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField examples ==================================================================== @@ -60160,7 +60668,7 @@ See Also: o )show InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField -@ +\end{chunk} \pagehead{InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField}{INFCLSPS} \pagepic{ps/v103infinitlyclosepointoverpseudoalgebraicclosureoffinitefield.eps}{INFCLSPS}{1.00} @@ -60196,7 +60704,7 @@ \cross{INFCLSPS}{symbNameV} && \end{tabular} -<>= +\begin{chunk}{domain INFCLSPS InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField} )abbrev domain INFCLSPS InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -60235,17 +60743,17 @@ Implementation == InfinitlyClosePoint(KK,symb,PolyRing,E,ProjPt,_ PCS,Plc,DIVISOR,BLMET) -@ -<>= +\end{chunk} +\begin{chunk}{INFCLSPS.dotabb} "INFCLSPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INFCLSPS"] "PROJPLPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PROJPLPS"] "INFCLSPS" -> "PROJPLPS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IAN InnerAlgebraicNumber} -<>= +\begin{chunk}{InnerAlgebraicNumber.input} )set break resume )sys rm -f InnerAlgebraicNumber.output )spool InnerAlgebraicNumber.output @@ -60371,8 +60879,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerAlgebraicNumber.help} ==================================================================== InnerAlgebraicNumber examples ==================================================================== @@ -60380,7 +60888,7 @@ See Also: o )show InnerAlgebraicNumber -@ +\end{chunk} \pagehead{InnerAlgebraicNumber}{IAN} \pagepic{ps/v103inneralgebraicnumber.ps}{IAN}{1.00} @@ -60479,7 +60987,7 @@ \cross{IAN}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain IAN InnerAlgebraicNumber} )abbrev domain IAN InnerAlgebraicNumber ++ Author: Manuel Bronstein ++ Date Created: 22 March 1988 @@ -60620,8 +61128,8 @@ retract map(y +-> y::Complex(Float),x pretend FE)_ $ExpressionFunctions2(Z, Complex Float) -@ -<>= +\end{chunk} +\begin{chunk}{IAN.dotabb} "IAN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IAN"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] @@ -60630,11 +61138,11 @@ "IAN" -> "FS" "IAN" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IFF InnerFiniteField} -<>= +\begin{chunk}{InnerFiniteField.input} )set break resume )sys rm -f InnerFiniteField.output )spool InnerFiniteField.output @@ -60747,8 +61255,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerFiniteField.help} ==================================================================== InnerFiniteField examples ==================================================================== @@ -60756,7 +61264,7 @@ See Also: o )show InnerFiniteField -@ +\end{chunk} \pagehead{InnerFiniteField}{IFF} \pagepic{ps/v103innerfinitefield.ps}{IFF}{1.00} @@ -60854,7 +61362,7 @@ \cross{IFF}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain IFF InnerFiniteField} )abbrev domain IFF InnerFiniteField ++ Author: Mark Botch ++ Date Created: ??? @@ -60879,17 +61387,17 @@ InnerFiniteField(p:PositiveInteger, n:PositiveInteger) == FiniteFieldExtension(InnerPrimeField p, n) -@ -<>= +\end{chunk} +\begin{chunk}{IFF.dotabb} "IFF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IFF"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "IFF" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IFAMON InnerFreeAbelianMonoid} -<>= +\begin{chunk}{InnerFreeAbelianMonoid.input} )set break resume )sys rm -f InnerFreeAbelianMonoid.output )spool InnerFreeAbelianMonoid.output @@ -60925,8 +61433,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerFreeAbelianMonoid.help} ==================================================================== InnerFreeAbelianMonoid examples ==================================================================== @@ -60934,7 +61442,7 @@ See Also: o )show InnerFreeAbelianMonoid -@ +\end{chunk} \pagehead{InnerFreeAbelianMonoid}{IFAMON} \pagepic{ps/v103innerfreeabelianmonoid.ps}{IFAMON}{1.00} @@ -60970,7 +61478,7 @@ \cross{IFAMON}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain IFAMON InnerFreeAbelianMonoid} )abbrev domain IFAMON InnerFreeAbelianMonoid ++ Author: Manuel Bronstein ++ Date Created: November 1989 @@ -61006,20 +61514,20 @@ makeMulti [[x.gen, min(x.exp, n)] for x in listOfMonoms f | (n := coefficient(x.gen, g)) > 0] -@ -<>= +\end{chunk} +\begin{chunk}{IFAMON.dotabb} "IFAMON" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IFAMON"] "OAMON" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMON"] "IFAMON" -> "OAMON" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IIARRAY2 InnerIndexedTwoDimensionalArray} This is an internal type which provides an implementation of 2-dimensional arrays as PrimitiveArray's of PrimitiveArray's. -<>= +\begin{chunk}{InnerIndexedTwoDimensionalArray.input} )set break resume )sys rm -f InnerIndexedTwoDimensionalArray.output )spool InnerIndexedTwoDimensionalArray.output @@ -61075,8 +61583,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerIndexedTwoDimensionalArray.help} ==================================================================== InnerIndexedTwoDimensionalArray examples ==================================================================== @@ -61084,7 +61592,7 @@ See Also: o )show InnerIndexedTwoDimensionalArray -@ +\end{chunk} \pagehead{InnerIndexedTwoDimensionalArray}{IIARRAY2} \pagepic{ps/v103innerindexedtwodimensionalarray.ps}{IIARRAY2}{1.00} @@ -61135,7 +61643,7 @@ \cross{IIARRAY2}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain IIARRAY2 InnerIndexedTwoDimensionalArray} )abbrev domain IIARRAY2 InnerIndexedTwoDimensionalArray ++ Author: Mark Botch ++ Description: @@ -61222,17 +61730,17 @@ if i < maxRowIndex(m) then s := concat(s, " \\ ")$String concat(s, "\end{array} \right]")$String -@ -<>= +\end{chunk} +\begin{chunk}{IIARRAY2.dotabb} "IIARRAY2" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IIARRAY2"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "IIARRAY2" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IPADIC InnerPAdicInteger} -<>= +\begin{chunk}{InnerPAdicInteger.input} )set break resume )sys rm -f InnerPAdicInteger.output )spool InnerPAdicInteger.output @@ -61290,8 +61798,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerPAdicInteger.help} ==================================================================== InnerPAdicInteger examples ==================================================================== @@ -61299,7 +61807,7 @@ See Also: o )show InnerPAdicInteger -@ +\end{chunk} \pagehead{InnerPAdicInteger}{IPADIC} \pagepic{ps/v103innerpadicinteger.ps}{IPADIC}{1.00} @@ -61360,7 +61868,7 @@ \cross{IPADIC}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain IPADIC InnerPAdicInteger} )abbrev domain IPADIC InnerPAdicInteger ++ Author: Clifton J. Williamson ++ Date Created: 20 August 1989 @@ -61610,19 +62118,19 @@ empty? l => 0 :: OUT reduce("+",reverse_! l) -@ -<>= +\end{chunk} +\begin{chunk}{IPADIC.dotabb} "IPADIC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IPADIC"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PADICCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PADICCT"] "IPADIC" -> "PADICCT" "IPADIC" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IPF InnerPrimeField} -<>= +\begin{chunk}{InnerPrimeField.input} )set break resume )sys rm -f InnerPrimeField.output )spool InnerPrimeField.output @@ -61725,8 +62233,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerPrimeField.help} ==================================================================== InnerPrimeField examples ==================================================================== @@ -61734,7 +62242,7 @@ See Also: o )show InnerPrimeField -@ +\end{chunk} \pagehead{InnerPrimeField}{IPF} \pagepic{ps/v103innerprimefield.ps}{IPF}{1.00} @@ -61831,7 +62339,7 @@ \cross{IPF}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain IPF InnerPrimeField} )abbrev domain IPF InnerPrimeField ++ Authors: N.N., J.Grabmeier, A.Scheerhorn ++ Date Created: ?, November 1990, 26.03.1991 @@ -62009,17 +62517,17 @@ charthRoot x == x -@ -<>= +\end{chunk} +\begin{chunk}{IPF.dotabb} "IPF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IPF"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "IPF" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ISUPS InnerSparseUnivariatePowerSeries} -<>= +\begin{chunk}{InnerSparseUnivariatePowerSeries.input} )set break resume )sys rm -f InnerSparseUnivariatePowerSeries.output )spool InnerSparseUnivariatePowerSeries.output @@ -62135,8 +62643,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerSparseUnivariatePowerSeries.help} ==================================================================== InnerSparseUnivariatePowerSeries examples ==================================================================== @@ -62144,7 +62652,7 @@ See Also: o )show InnerSparseUnivariatePowerSeries -@ +\end{chunk} \pagehead{InnerSparseUnivariatePowerSeries}{ISUPS} \pagepic{ps/v103innersparseunivariatepowerseries.ps}{ISUPS}{1.00} @@ -62242,7 +62750,7 @@ \cross{ISUPS}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain ISUPS InnerSparseUnivariatePowerSeries} )abbrev domain ISUPS InnerSparseUnivariatePowerSeries ++ Author: Clifton J. Williamson ++ Date Created: 28 October 1994 @@ -63307,17 +63815,17 @@ empty? l => (0$Coef) :: OUT reduce("+",reverse_! l) -@ -<>= +\end{chunk} +\begin{chunk}{ISUPS.dotabb} "ISUPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ISUPS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ISUPS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INTABL InnerTable} -<>= +\begin{chunk}{InnerTable.input} )set break resume )sys rm -f InnerTable.output )spool InnerTable.output @@ -63412,8 +63920,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerTable.help} ==================================================================== InnerTable examples ==================================================================== @@ -63421,7 +63929,7 @@ See Also: o )show InnerTable -@ +\end{chunk} \pagehead{InnerTable}{INTABL} \pagepic{ps/v103innertable.ps}{INTABL}{1.00} @@ -63493,7 +64001,7 @@ \cross{INTABL}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain INTABL InnerTable} )abbrev domain INTABL InnerTable ++ Author: Barry Trager ++ Date Created: 1992 @@ -63516,17 +64024,17 @@ finiteAggregate Implementation ==> addDom -@ -<>= +\end{chunk} +\begin{chunk}{INTABL.dotabb} "INTABL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INTABL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "INTABL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ITAYLOR InnerTaylorSeries} -<>= +\begin{chunk}{InnerTaylorSeries.input} )set break resume )sys rm -f InnerTaylorSeries.output )spool InnerTaylorSeries.output @@ -63573,8 +64081,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InnerTaylorSeries.help} ==================================================================== InnerTaylorSeries examples ==================================================================== @@ -63582,7 +64090,7 @@ See Also: o )show InnerTaylorSeries -@ +\end{chunk} \pagehead{InnerTaylorSeries}{ITAYLOR} \pagepic{ps/v103innertaylorseries.ps}{ITAYLOR}{1.00} @@ -63622,7 +64130,7 @@ \cross{ITAYLOR}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain ITAYLOR InnerTaylorSeries} )abbrev domain ITAYLOR InnerTaylorSeries ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -63758,17 +64266,17 @@ order x == iOrder2(stream x,0) -@ -<>= +\end{chunk} +\begin{chunk}{ITAYLOR.dotabb} "ITAYLOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ITAYLOR"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "ITAYLOR" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INFORM InputForm} -<>= +\begin{chunk}{InputForm.input} )set break resume )sys rm -f InputForm.output )spool InputForm.output @@ -63815,8 +64323,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InputForm.help} ==================================================================== InputForm examples ==================================================================== @@ -63824,7 +64332,7 @@ See Also: o )show InputForm -@ +\end{chunk} \pagehead{InputForm}{INFORM} \pagepic{ps/v103inputform.ps}{INFORM}{1.00} @@ -63873,7 +64381,7 @@ \cross{INFORM}{?.?} \end{tabular} -<>= +\begin{chunk}{domain INFORM InputForm} )abbrev domain INFORM InputForm ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -64059,20 +64567,20 @@ s2 = 1 => s1 conv [convert("/"::Symbol), s1, s2]$List(%) -@ -<>= +\end{chunk} +\begin{chunk}{INFORM.dotabb} "INFORM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INFORM"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "INFORM" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INT Integer} The function {\bf one?} has been rewritten back to its original form. The NAG version called a lisp primitive that exists only in Codemist Common Lisp and is not defined in Common Lisp. -<>= +\begin{chunk}{Integer.input} )set break resume )sys rm -f Integer.output )spool Integer.output @@ -64424,8 +64932,8 @@ --E 42 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Integer.help} ==================================================================== Integer examples ==================================================================== @@ -64732,7 +65240,7 @@ o )help RomanNumeral o )show Integer -@ +\end{chunk} \pagehead{Integer}{INT} \pagepic{ps/v103integer.ps}{INT}{1.00} {\bf See}\\ @@ -64829,7 +65337,7 @@ \cross{INT}{?rem?} &&& \end{tabular} -<>= +\begin{chunk}{domain INT Integer} )abbrev domain INT Integer ++ Author: Mark Botch ++ Date Created: @@ -65007,8 +65515,8 @@ -- TT:=InnerModularGcd(%,ZP,67108859 pretend %,myNextPrime) -- gcdPolynomial(p,q) == modularGcd(p,q)$TT -@ -<>= +\end{chunk} +\begin{chunk}{INT.dotabb} "INT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INT", shape=ellipse] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] @@ -65016,11 +65524,11 @@ "INT" -> "STRING" "INT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ZMOD IntegerMod} -<>= +\begin{chunk}{IntegerMod.input} )set break resume )sys rm -f IntegerMod.output )spool IntegerMod.output @@ -65060,8 +65568,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegerMod.help} ==================================================================== IntegerMod examples ==================================================================== @@ -65069,7 +65577,7 @@ See Also: o )show IntegerMod -@ +\end{chunk} \pagehead{IntegerMod}{ZMOD} \pagepic{ps/v103integermod.ps}{ZMOD}{1.00} @@ -65104,7 +65612,7 @@ \cross{ZMOD}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain ZMOD IntegerMod} )abbrev domain ZMOD IntegerMod ++ Author: Mark Botch ++ Date Created: @@ -65190,17 +65698,17 @@ not (g = 1) => "failed" positiveRemainder(c1, p) -@ -<>= +\end{chunk} +\begin{chunk}{ZMOD.dotabb} "ZMOD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ZMOD"] "BMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BMODULE"] "ZMOD" -> "BMODULE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INTFTBL IntegrationFunctionsTable} -<>= +\begin{chunk}{IntegrationFunctionsTable.input} )set break resume )sys rm -f IntegrationFunctionsTable.output )spool IntegrationFunctionsTable.output @@ -65228,8 +65736,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegrationFunctionsTable.help} ==================================================================== IntegrationFunctionsTable examples ==================================================================== @@ -65237,7 +65745,7 @@ See Also: o )show IntegrationFunctionsTable -@ +\end{chunk} \pagehead{IntegrationFunctionsTable}{INTFTBL} \pagepic{ps/v103integrationfunctionstable.ps}{INTFTBL}{1.00} @@ -65254,7 +65762,7 @@ \cross{INTFTBL}{showTheFTable} \end{tabular} -<>= +\begin{chunk}{domain INTFTBL IntegrationFunctionsTable} )abbrev domain INTFTBL IntegrationFunctionsTable ++ Author: Brian Dupee ++ Date Created: March 1995 @@ -65352,17 +65860,17 @@ entry(k:NIA):ATT == qelt(theFTable,k)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{INTFTBL.dotabb} "INTFTBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INTFTBL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "INTFTBL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IR IntegrationResult} -<>= +\begin{chunk}{IntegrationResult.input} )set break resume )sys rm -f IntegrationResult.output )spool IntegrationResult.output @@ -65402,8 +65910,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegrationResult.help} ==================================================================== IntegrationResult examples ==================================================================== @@ -65411,7 +65919,7 @@ See Also: o )show IntegrationResult -@ +\end{chunk} \pagehead{IntegrationResult}{IR} \pagepic{ps/v103integrationresult.ps}{IR}{1.00} @@ -65442,7 +65950,7 @@ \cross{IR}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain IR IntegrationResult} )abbrev domain IR IntegrationResult ++ Author: Barry Trager, Manuel Bronstein ++ Date Created: 1987 @@ -65614,17 +66122,17 @@ NE2O ne == int((ne.integrand)::O * hconcat ["d"::Symbol::O, (ne.intvar)::O]) -@ -<>= +\end{chunk} +\begin{chunk}{IR.dotabb} "IR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IR"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "IR" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain INTRVL Interval} -<>= +\begin{chunk}{Interval.input} )set break resume )sys rm -f Interval.output )spool Interval.output @@ -65795,8 +66303,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Interval.help} ==================================================================== Interval examples ==================================================================== @@ -65841,7 +66349,7 @@ contains?(t3,0.3) false -@ +\end{chunk} \pagehead{Interval}{INTRVL} \pagepic{ps/v103interval.ps}{INTRVL}{1.00} @@ -65921,7 +66429,7 @@ \cross{INTRVL}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain INTRVL Interval} )abbrev domain INTRVL Interval ++ Author: Mike Dewar ++ Date Created: November 1996 @@ -66364,13 +66872,13 @@ -- From RadicalCategory _*_* (u:%,n:Fraction Integer):% == interval(inf(u)**n,sup(u)**n) -@ -<>= +\end{chunk} +\begin{chunk}{INTRVL.dotabb} "INTRVL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INTRVL"] "INTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=INTCAT"] "INTRVL" -> "INTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter J} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -66379,7 +66887,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain KERNEL Kernel} -<>= +\begin{chunk}{Kernel.input} )set break resume )sys rm -f Kernel.output )spool Kernel.output @@ -66540,8 +67048,8 @@ --E 19 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Kernel.help} ==================================================================== Kernel examples ==================================================================== @@ -66685,7 +67193,7 @@ o )help BasicOperator o )show Kernel -@ +\end{chunk} \pagehead{Kernel}{KERNEL} \pagepic{ps/v103kernel.ps}{KERNEL}{1.00} {\bf See}\\ @@ -66716,7 +67224,7 @@ \cross{KERNEL}{?$>=$?} &&&& \end{tabular} -<>= +\begin{chunk}{domain KERNEL Kernel} )abbrev domain KERNEL Kernel ++ Author: Manuel Bronstein ++ Date Created: 22 March 1988 @@ -66859,17 +67367,17 @@ setPredicates(s, l) o [convert x for x in k.arg]$List(Pattern Float) -@ -<>= +\end{chunk} +\begin{chunk}{KERNEL.dotabb} "KERNEL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=KERNEL"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "KERNEL" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain KAFILE KeyedAccessFile} -<>= +\begin{chunk}{KeyedAccessFile.input} )set break resume )sys rm -f KeyedAccessFile.output )spool KeyedAccessFile.output @@ -67041,8 +67549,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{KeyedAccessFile.help} ==================================================================== KeyedAccessFile examples ==================================================================== @@ -67137,7 +67645,7 @@ o )help Library o )show KeyedAccessFile -@ +\end{chunk} \pagehead{KeyedAccessFile}{KAFILE} \pagepic{ps/v103keyedaccessfile.ps}{KAFILE}{1.00} {\bf See}\\ @@ -67217,7 +67725,7 @@ \cross{KAFILE}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain KAFILE KeyedAccessFile} )abbrev domain KAFILE KeyedAccessFile ++ Author: Stephen M. Watt ++ Date Created: 1985 @@ -67353,19 +67861,19 @@ RPACKFILE(f.fileName)$Lisp f -@ -<>= +\end{chunk} +\begin{chunk}{KAFILE.dotabb} "KAFILE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=KAFILE"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "KAFILE" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter L} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LAUPOL LaurentPolynomial} -<>= +\begin{chunk}{LaurentPolynomial.input} )set break resume )sys rm -f LaurentPolynomial.output )spool LaurentPolynomial.output @@ -67451,8 +67959,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LaurentPolynomial.help} ==================================================================== LaurentPolynomial examples ==================================================================== @@ -67460,7 +67968,7 @@ See Also: o )show LaurentPolynomial -@ +\end{chunk} \pagehead{LaurentPolynomial}{LAUPOL} \pagepic{ps/v103laurentpolynomial.ps}{LAUPOL}{1.00} @@ -67520,7 +68028,7 @@ \cross{LAUPOL}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain LAUPOL LaurentPolynomial} )abbrev domain LAUPOL LaurentPolynomial ++ Author: Manuel Bronstein ++ Date Created: May 1988 @@ -67680,17 +68188,17 @@ [mkgpol(order c - order a, bc.coef1), mkgpol(order c - order b, bc.coef2)] -@ -<>= +\end{chunk} +\begin{chunk}{LAUPOL.dotabb} "LAUPOL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LAUPOL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LAUPOL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LIB Library} -<>= +\begin{chunk}{Library.input} )set break resume )sys rm -f Library.output )spool Library.output @@ -67760,8 +68268,8 @@ )system rm -rf Neat.stuff )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Library.help} ==================================================================== Library examples ==================================================================== @@ -67806,7 +68314,7 @@ o )help KeyedAccessFile o )show Library -@ +\end{chunk} \pagehead{Library}{LIB} \pagepic{ps/v103library.ps}{LIB}{1.00} {\bf See}\\ @@ -67879,7 +68387,7 @@ \cross{LIB}{?.?} \end{tabular} -<>= +\begin{chunk}{domain LIB Library} )abbrev domain LIB Library ++ Author: Stephen M. Watt ++ Date Created: 1985 @@ -67918,17 +68426,17 @@ elt(f:%,v:Symbol) == elt(f, string v) setelt(f:%, v:Symbol, val:Any) == setelt(f, string v, val) -@ -<>= +\end{chunk} +\begin{chunk}{LIB.dotabb} "LIB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LIB"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "LIB" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LEXP LieExponentials} -<>= +\begin{chunk}{LieExponentials.input} )set break resume )sys rm -f LieExponentials.output )spool LieExponentials.output @@ -68059,8 +68567,8 @@ --E 13 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LieExponentials.help} ==================================================================== LieExponentials examples ==================================================================== @@ -68146,7 +68654,7 @@ See Also: o )show LieExponentials -@ +\end{chunk} \pagehead{LieExponentials}{LEXP} \pagepic{ps/v103lieexponentials.ps}{LEXP}{1.00} @@ -68178,7 +68686,7 @@ \cross{LEXP}{?=?} \end{tabular} -<>= +\begin{chunk}{domain LEXP LieExponentials} )abbrev domain LEXP LieExponentials ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -68310,19 +68818,19 @@ lt:= [[t.k, (odd? length(t.k)$BASIS => - t.c; t.c)]$TERM for t in lt ] lt pretend $ -@ -<>= +\end{chunk} +\begin{chunk}{LEXP.dotabb} "LEXP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LEXP"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "LEXP" -> "FLAGG-" "LEXP" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LPOLY LiePolynomial} -<>= +\begin{chunk}{LiePolynomial.input} )set break resume )sys rm -f LiePolynomial.output )spool LiePolynomial.output @@ -68569,8 +69077,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LiePolynomial.help} ==================================================================== LiePolynomial examples ==================================================================== @@ -68721,7 +69229,7 @@ o )help XDistributedPolynomial o )show LiePolynomial -@ +\end{chunk} \pagehead{LiePolynomial}{LPOLY} \pagepic{ps/v103liepolynomial.ps}{LPOLY}{1.00} @@ -68768,7 +69276,7 @@ \cross{LPOLY}{?=?} \end{tabular} -<>= +\begin{chunk}{domain LPOLY LiePolynomial} )abbrev domain LPOLY LiePolynomial ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -68962,17 +69470,17 @@ -- 1 = #le => first le -- mkNary("+" :: EX,le) -@ -<>= +\end{chunk} +\begin{chunk}{LPOLY.dotabb} "LPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LPOLY"] "FLALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLALG"] "LPOLY" -> "FLALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LSQM LieSquareMatrix} -<>= +\begin{chunk}{LieSquareMatrix.input} )set break resume )sys rm -f LieSquareMatrix.output )spool LieSquareMatrix.output @@ -69129,8 +69637,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LieSquareMatrix.help} ==================================================================== LieSquareMatrix examples ==================================================================== @@ -69138,7 +69646,7 @@ See Also: o )show LieSquareMatrix -@ +\end{chunk} \pagehead{LieSquareMatrix}{LSQM} \pagepic{ps/v103liesquarematrix.ps}{LSQM}{1.00} @@ -69277,7 +69785,7 @@ \cross{LSQM}{?.?} && \end{tabular} -<>= +\begin{chunk}{domain LSQM LieSquareMatrix} )abbrev domain LSQM LieSquareMatrix ++ Author: J. Grabmeier ++ Date Created: 07 March 1991 @@ -69363,17 +69871,17 @@ -- if R has commutative("*") then central -- if R has commutative("*") and R has unitsKnown then unitsKnown -@ -<>= +\end{chunk} +\begin{chunk}{LSQM.dotabb} "LSQM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LSQM"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "LSQM" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LODO LinearOrdinaryDifferentialOperator} -<>= +\begin{chunk}{LinearOrdinaryDifferentialOperator.input} )set break resume )sys rm -f LinearOrdinaryDifferentialOperator.output )spool LinearOrdinaryDifferentialOperator.output @@ -69662,8 +70170,8 @@ --E 16 )spool -@ -<>= +\end{chunk} +\begin{chunk}{LinearOrdinaryDifferentialOperator.help} ==================================================================== LinearOrdinaryDifferentialOperator examples ==================================================================== @@ -69860,7 +70368,7 @@ See Also: o )show LinearOrdinaryDifferentialOperator -@ +\end{chunk} \pagehead{LinearOrdinaryDifferentialOperator}{LODO} \pagepic{ps/v103linearordinarydifferentialoperator.ps}{LODO}{1.00} {\bf See}\\ @@ -69926,7 +70434,7 @@ \cross{LODO}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain LODO LinearOrdinaryDifferentialOperator} )abbrev domain LODO LinearOrdinaryDifferentialOperator ++ Author: Manuel Bronstein ++ Date Created: 9 December 1993 @@ -69956,17 +70464,17 @@ symmetricPower(a, n) == symmetricPower(a, n, diff) directSum(a, b) == directSum(a, b, diff) -@ -<>= +\end{chunk} +\begin{chunk}{LODO.dotabb} "LODO" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LODO"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "LODO" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LODO1 LinearOrdinaryDifferentialOperator1} -<>= +\begin{chunk}{LinearOrdinaryDifferentialOperator1.input} )set break resume )sys rm -f LinearOrdinaryDifferentialOperator1.output )spool LinearOrdinaryDifferentialOperator1.output @@ -70162,9 +70670,9 @@ --E 20 )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{LinearOrdinaryDifferentialOperator1.help} ==================================================================== LinearOrdinaryDifferentialOperator1 example ==================================================================== @@ -70357,7 +70865,7 @@ See Also: o )show LinearOrdinaryDifferentialOperator1 -@ +\end{chunk} \pagehead{LinearOrdinaryDifferentialOperator1}{LODO1} \pagepic{ps/v103linearordinarydifferentialoperator1.ps}{LODO1}{1.00} {\bf See}\\ @@ -70423,7 +70931,7 @@ \cross{LODO1}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain LODO1 LinearOrdinaryDifferentialOperator1} )abbrev domain LODO1 LinearOrdinaryDifferentialOperator1 ++ Author: Manuel Bronstein ++ Date Created: 9 December 1993 @@ -70438,17 +70946,17 @@ LinearOrdinaryDifferentialOperator1(A:DifferentialRing) == LinearOrdinaryDifferentialOperator(A, differentiate$A) -@ -<>= +\end{chunk} +\begin{chunk}{LODO1.dotabb} "LODO1" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LODO1"] "LODOCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LODOCAT"] "LODO1" -> "LODOCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LODO2 LinearOrdinaryDifferentialOperator2} -<>= +\begin{chunk}{LinearOrdinaryDifferentialOperator2.input} )set break resume )sys rm -f LinearOrdinaryDifferentialOperator2.output )spool LinearOrdinaryDifferentialOperator2.output @@ -70720,8 +71228,8 @@ --E 26 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LinearOrdinaryDifferentialOperator2.help} ==================================================================== LinearOrdinaryDifferentialOperator2 ==================================================================== @@ -70968,7 +71476,7 @@ See Also: o )show LinearOrdinaryDifferentialOperator2 -@ +\end{chunk} \pagehead{LinearOrdinaryDifferentialOperator2}{LODO2} \pagepic{ps/v103linearordinarydifferentialoperator2.ps}{LODO2}{1.00} {\bf See}\\ @@ -71034,7 +71542,7 @@ \cross{LODO2}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain LODO2 LinearOrdinaryDifferentialOperator2} )abbrev domain LODO2 LinearOrdinaryDifferentialOperator2 ++ Author: Stephen M. Watt, Manuel Bronstein ++ Date Created: 1986 @@ -71059,17 +71567,17 @@ elt(p:%, m:M):M == apply(p, differentiate, m)$ApplyUnivariateSkewPolynomial(A, M, %) -@ -<>= +\end{chunk} +\begin{chunk}{LODO2.dotabb} "LODO2" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LODO2"] "LODOCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LODOCAT"] "LODO2" -> "LODOCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LIST List} -<>= +\begin{chunk}{List.input} )set break resume )sys rm -f List.output )spool List.output @@ -71349,8 +71857,8 @@ --E 34 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{List.help} ==================================================================== List examples ==================================================================== @@ -71627,7 +72135,7 @@ o )help Stream o )show List -@ +\end{chunk} \pagehead{List}{LIST} \pagepic{ps/v103list.ps}{LIST}{1.00} {\bf See}\\ @@ -71747,7 +72255,7 @@ \cross{LIST}{?.value} & \end{tabular} -<>= +\begin{chunk}{domain LIST List} )abbrev domain LIST List ++ Author: Michael Monagan ++ Date Created: Sep 1987 @@ -71876,18 +72384,18 @@ convert concat(convert("construct"::Symbol)@InputForm, [convert a for a in (x pretend List S)]$List(InputForm)) -@ -<>= +\end{chunk} +\begin{chunk}{LIST.dotabb} "LIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LIST", shape=ellipse] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "LIST" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LMOPS ListMonoidOps} -<>= +\begin{chunk}{ListMonoidOps.input} )set break resume )sys rm -f ListMonoidOps.output )spool ListMonoidOps.output @@ -71923,8 +72431,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ListMonoidOps.help} ==================================================================== ListMonoidOps examples ==================================================================== @@ -71932,7 +72440,7 @@ See Also: o )show ListMonoidOps -@ +\end{chunk} \pagehead{ListMonoidOps}{LMOPS} \pagepic{ps/v103listmonoidops.ps}{LMOPS}{1.00} @@ -71970,7 +72478,7 @@ \cross{LMOPS}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain LMOPS ListMonoidOps} )abbrev domain LMOPS ListMonoidOps ++ Author: Manuel Bronstein ++ Date Created: November 1989 @@ -72123,19 +72631,19 @@ g := plus(x.gen, x.exp, g) g -@ -<>= +\end{chunk} +\begin{chunk}{LMOPS.dotabb} "LMOPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LMOPS"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "LMOPS" -> "FLAGG" "LMOPS" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LMDICT ListMultiDictionary} -<>= +\begin{chunk}{ListMultiDictionary.input} )set break resume )sys rm -f ListMultiDictionary.output )spool ListMultiDictionary.output @@ -72199,8 +72707,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ListMultiDictionary.help} ==================================================================== ListMultiDictionary examples ==================================================================== @@ -72208,7 +72716,7 @@ See Also: o )show ListMultiDictionary -@ +\end{chunk} \pagehead{ListMultiDictionary}{LMDICT} \pagepic{ps/v103listmultidictionary.ps}{LMDICT}{1.00} @@ -72259,7 +72767,7 @@ \cross{LMDICT}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain LMDICT ListMultiDictionary} )abbrev domain LMDICT ListMultiDictionary ++ Author: Mark Botch ++ Date Created: @@ -72402,17 +72910,17 @@ setref(s, concat(x, deref s)) s -@ -<>= +\end{chunk} +\begin{chunk}{LMDICT.dotabb} "LMDICT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LMDICT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "LMDICT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LA LocalAlgebra} -<>= +\begin{chunk}{LocalAlgebra.input} )set break resume )sys rm -f LocalAlgebra.output )spool LocalAlgebra.output @@ -72462,8 +72970,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LocalAlgebra.help} ==================================================================== LocalAlgebra examples ==================================================================== @@ -72471,7 +72979,7 @@ See Also: o )show LocalAlgebra -@ +\end{chunk} \pagehead{LocalAlgebra}{LA} \pagepic{ps/v103localalgebra.ps}{LA}{1.00} @@ -72515,7 +73023,7 @@ \cross{LA}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain LA LocalAlgebra} )abbrev domain LA LocalAlgebra ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -72547,17 +73055,17 @@ x:% * y:% == (numer(x) * numer(y)) / (denom(x) * denom(y)) characteristic() == characteristic()$A -@ -<>= +\end{chunk} +\begin{chunk}{LA.dotabb} "LA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LA"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "LA" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LO Localize} -<>= +\begin{chunk}{Localize.input} )set break resume )sys rm -f Localize.output )spool Localize.output @@ -72596,8 +73104,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Localize.help} ==================================================================== Localize examples ==================================================================== @@ -72605,7 +73113,7 @@ See Also: o )show Localize -@ +\end{chunk} \pagehead{Localize}{LO} \pagepic{ps/v103localize.ps}{LO}{1.00} @@ -72639,7 +73147,7 @@ \cross{LO}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain LO Localize} )abbrev domain LO Localize ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -72706,17 +73214,17 @@ dl : String := concat("{", concat(latex(x.den), "}")$String)$String concat("{ ", concat(nl, concat(" \over ", concat(dl, " }")$String)$String)$String)$String -@ -<>= +\end{chunk} +\begin{chunk}{LO.dotabb} "LO" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LO"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "LO" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain LWORD LyndonWord} -<>= +\begin{chunk}{LyndonWord.input} )set break resume )sys rm -f LyndonWord.output )spool LyndonWord.output @@ -72919,8 +73427,8 @@ --E 22 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LyndonWord.help} ==================================================================== LyndonWord examples ==================================================================== @@ -73054,7 +73562,7 @@ See Also: o )show LyndonWord -@ +\end{chunk} \pagehead{LyndonWord}{LWORD} \pagepic{ps/v103lyndonword.ps}{LWORD}{1.00} @@ -73087,7 +73595,7 @@ \cross{LWORD}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain LWORD LyndonWord} )abbrev domain LWORD LyndonWord ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -73249,19 +73757,19 @@ v:ARRAY1 List $ := LyndonWordsList1(vl,n) "append"/ [v.i for i in 1..n] -@ -<>= +\end{chunk} +\begin{chunk}{LWORD.dotabb} "LWORD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=LWORD"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "LWORD" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter M} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MCMPLX MachineComplex} -<>= +\begin{chunk}{MachineComplex.input} )set break resume )sys rm -f MachineComplex.output )spool MachineComplex.output @@ -73467,8 +73975,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MachineComplex.help} ==================================================================== MachineComplex examples ==================================================================== @@ -73476,7 +73984,7 @@ See Also: o )show MachineComplex -@ +\end{chunk} \pagehead{MachineComplex}{MCMPLX} \pagepic{ps/v103machinecomplex.ps}{MCMPLX}{1.00} @@ -73624,7 +74132,7 @@ \cross{MCMPLX}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain MCMPLX MachineComplex} )abbrev domain MCMPLX MachineComplex ++ Date Created: December 1993 ++ Date Last Updated: @@ -73672,17 +74180,17 @@ coerce(u:$):Complex Float == complex(real(u)::Float,imag(u)::Float) -@ -<>= +\end{chunk} +\begin{chunk}{MCMPLX.dotabb} "MCMPLX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MCMPLX"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "MCMPLX" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MFLOAT MachineFloat} -<>= +\begin{chunk}{MachineFloat.input} )set break resume )sys rm -f MachineFloat.output )spool MachineFloat.output @@ -73776,8 +74284,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MachineFloat.help} ==================================================================== MachineFloat examples ==================================================================== @@ -73785,7 +74293,7 @@ See Also: o )show MachineFloat -@ +\end{chunk} \pagehead{MachineFloat}{MFLOAT} \pagepic{ps/v103machinefloat.ps}{MFLOAT}{1.00} @@ -73875,7 +74383,7 @@ \cross{MFLOAT}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain MFLOAT MachineFloat} )abbrev domain MFLOAT MachineFloat ++ Author: Mike Dewar ++ Date Created: December 1993 @@ -74178,17 +74686,17 @@ characteristic():NNI == 0 -@ -<>= +\end{chunk} +\begin{chunk}{MFLOAT.dotabb} "MFLOAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MFLOAT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "MFLOAT" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MINT MachineInteger} -<>= +\begin{chunk}{MachineInteger.input} )set break resume )sys rm -f MachineInteger.output )spool MachineInteger.output @@ -74274,8 +74782,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MachineInteger.help} ==================================================================== MachineInteger examples ==================================================================== @@ -74283,7 +74791,7 @@ See Also: o )show MachineInteger -@ +\end{chunk} \pagehead{MachineInteger}{MINT} \pagepic{ps/v103machineinteger.ps}{MINT}{1.00} @@ -74379,7 +74887,7 @@ \cross{MINT}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain MINT MachineInteger} )abbrev domain MINT MachineInteger ++ Author: Mike Dewar ++ Date Created: December 1993 @@ -74433,17 +74941,17 @@ retractIfCan(u:$):Union(Integer,"failed") == u pretend Integer -@ -<>= +\end{chunk} +\begin{chunk}{MINT.dotabb} "MINT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MINT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "MINT" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MAGMA Magma} -<>= +\begin{chunk}{Magma.input} )set break resume )sys rm -f Magma.output )spool Magma.output @@ -74628,8 +75136,8 @@ --E 22 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Magma.help} ==================================================================== Magma examples ==================================================================== @@ -74740,7 +75248,7 @@ See Also: o )show Magma -@ +\end{chunk} \pagehead{Magma}{MAGMA} \pagepic{ps/v103magma.ps}{MAGMA}{1.00} @@ -74771,7 +75279,7 @@ \cross{MAGMA}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain MAGMA Magma} )abbrev domain MAGMA Magma ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -74915,19 +75423,19 @@ lx = ly => recursif(x,y) lx < ly -@ -<>= +\end{chunk} +\begin{chunk}{MAGMA.dotabb} "MAGMA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MAGMA"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "MAGMA" -> "FLAGG" "MAGMA" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MKCHSET MakeCachableSet} -<>= +\begin{chunk}{MakeCachableSet.input} )set break resume )sys rm -f MakeCachableSet.output )spool MakeCachableSet.output @@ -74957,8 +75465,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MakeCachableSet.help} ==================================================================== MakeCachableSet examples ==================================================================== @@ -74966,7 +75474,7 @@ See Also: o )show MakeCachableSet -@ +\end{chunk} \pagehead{MakeCachableSet}{MKCHSET} \pagepic{ps/v103makecachableset.ps}{MKCHSET}{1.00} @@ -74990,7 +75498,7 @@ \cross{MKCHSET}{?$>=$?} &&&&& \end{tabular} -<>= +\begin{chunk}{domain MKCHSET MakeCachableSet} )abbrev domain MKCHSET MakeCachableSet ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -75026,17 +75534,17 @@ if position(y) = 0 then enterInCache(y, x1+->(y::S = x1::S)) position(x) = position(y) -@ -<>= +\end{chunk} +\begin{chunk}{MKCHSET.dotabb} "MKCHSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MKCHSET"] "CACHSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=CACHSET"] "MKCHSET" -> "CACHSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MMLFORM MathMLFormat} -<>= +\begin{chunk}{MathMLFormat.input} )set break resume )sys rm -f MathMLFormat.output )spool MathMLFormat.output @@ -75062,8 +75570,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MathMLFormat.help} ==================================================================== MathMLFormat examples ==================================================================== @@ -75071,7 +75579,7 @@ See Also: o )show MathMLFormat -@ +\end{chunk} Both this code and documentation are still under development and @@ -75385,7 +75893,7 @@ the coerceS function however the formatting still needs some work to be really good. -<>= +\begin{chunk}{public declarations} )abbrev domain MMLFORM MathMLFormat ++ Author: Arthur C. Ralfs ++ Date: January 2007 @@ -75425,9 +75933,9 @@ display: S -> Void ++ prints the string returned by coerce, adding tags. -@ +\end{chunk} \subsection{Private Constant Declarations} -<>= +\begin{chunk}{private constant declarations} private == add import OutputForm import Character @@ -75479,7 +75987,7 @@ "cosh","coth","csch","sech","sinh","tanh", "arccos","arcsin","arctan","erf","…","$","∞"] -@ +\end{chunk} \subsection{Private Function Declarations} These are the local functions: @@ -75552,7 +76060,7 @@ ungroup:S -$>$ S -<>= +\begin{chunk}{private function declarations} -- local function signatures addBraces: S -> S @@ -75593,7 +76101,7 @@ ++ finds closing ">" of start or end tag for mathML element ungroup: S -> S -@ +\end{chunk} \subsection{Public Function Definitions} Note that I use the function sayTeX\$Lisp much as I would printf in a @@ -75606,7 +76114,7 @@ functions, {\it i.e.}\/ \spadfun{displayS} and \spadfun{display L}, returning Void. I really only need the one coerce function. -<>= +\begin{chunk}{public function definitions} -- public function definitions coerce(expr : E): S == @@ -75658,7 +76166,7 @@ s := concat [s,s1] s := concat [s,"}"] -@ +\end{chunk} \subsection{Private Function Definitions} \subsubsection{Display Functions} @@ -75671,7 +76179,7 @@ tagEnd(name:S,pos:I,mathml:S):I -<>= +\begin{chunk}{display functions} displayElt(mathML:S): Void == -- Takes a string of syntactically complete mathML @@ -75761,7 +76269,7 @@ --sayTeX$Lisp "tagEnd: "mathML.u pI -@ +\end{chunk} \subsubsection{Formatting Functions} Still need to format \verb+\zag+ in formatSpecial! @@ -75796,7 +76304,7 @@ 2 versions, formatSuperSub and formatSuperSub1, which at this point have to be switched by swapping names. -<>= +\begin{chunk}{formatting functions} atomize(expr : E): L E == -- This breaks down an expression into a flat list of atomic expressions. @@ -76501,9 +77009,9 @@ op := formatMml(first l,minPrec) formatFunction(op,args,prec) -@ +\end{chunk} \subsection{Mathematical Markup Language Form} -<>= +\begin{chunk}{MathMLFormat.input} )set break resume )spool MathMLFormat.output )set message test on @@ -76577,8 +77085,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MathMLFormat.help} ==================================================================== MathMLFormat examples ==================================================================== @@ -76660,7 +77168,7 @@ See Also: o )show MathMLFormat -@ +\end{chunk} \pagehead{MathMLForm}{MMLFORM} \pagepic{ps/v104mathmlform.ps}{MMLFORM}{1.00} @@ -76677,25 +77185,25 @@ \cross{MMLFORM}{?\~{}=?} & \end{tabular} -<>= -<> -<> -<> -<> -<> -<> +\begin{chunk}{domain MMLFORM MathMLFormat} +\getchunk{public declarations} +\getchunk{private constant declarations} +\getchunk{private function declarations} +\getchunk{public function definitions} +\getchunk{display functions} +\getchunk{formatting functions} -@ -<>= +\end{chunk} +\begin{chunk}{MMLFORM.dotabb} "MMLFORM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MMLFORM"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "MMLFORM" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MATRIX Matrix} -<>= +\begin{chunk}{Matrix.input} )set break resume )sys rm -f Matrix.output )spool Matrix.output @@ -77170,8 +77678,8 @@ --E 38 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Matrix.help} ==================================================================== Matrix examples ==================================================================== @@ -77606,7 +78114,7 @@ o )help Permanent o )show Matrix -@ +\end{chunk} \pagehead{Matrix}{MATRIX} \pagepic{ps/v103matrix.ps}{MATRIX}{1.00} {\bf See}\\ @@ -77690,7 +78198,7 @@ \cross{MATRIX}{?-?} &&& \end{tabular} -<>= +\begin{chunk}{domain MATRIX Matrix} )abbrev domain MATRIX Matrix ++ Author: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -77865,17 +78373,17 @@ convert [convert("matrix"::Symbol)@InputForm, convert listOfLists x]$List(InputForm) -@ -<>= +\end{chunk} +\begin{chunk}{MATRIX.dotabb} "MATRIX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MATRIX"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "MATRIX" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MODMON ModMonic} -<>= +\begin{chunk}{ModMonic.input} )set break resume )sys rm -f ModMonic.output )spool ModMonic.output @@ -78075,8 +78583,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ModMonic.help} ==================================================================== ModMonic examples ==================================================================== @@ -78084,7 +78592,7 @@ See Also: o )show ModMonic -@ +\end{chunk} \pagehead{ModMonic}{MODMON} \pagepic{ps/v103modmonic.ps}{MODMON}{1.00} @@ -78219,7 +78727,7 @@ \cross{MODMON}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain MODMON ModMonic} )abbrev domain MODMON ModMonic ++ Author: Mark Botch ++ Description: @@ -78388,17 +78896,17 @@ -- setelt(ans,i,j, elt(ans,i-1,j-1) + elt(ans,d,j-1) * An(MM).i) -- ans -@ -<>= +\end{chunk} +\begin{chunk}{MODMON.dotabb} "MODMON" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MODMON"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MODMON" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MODFIELD ModularField} -<>= +\begin{chunk}{ModularField.input} )set break resume )sys rm -f ModularField.output )spool ModularField.output @@ -78458,8 +78966,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ModularField.help} ==================================================================== ModularField examples ==================================================================== @@ -78467,7 +78975,7 @@ See Also: o )show ModularField -@ +\end{chunk} \pagehead{ModularField}{MODFIELD} \pagepic{ps/v103modularfield.ps}{MODFIELD}{1.00} @@ -78524,7 +79032,7 @@ \cross{MODFIELD}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain MODFIELD ModularField} )abbrev domain MODFIELD ModularField ++ Author: Mark Botch ++ Description: @@ -78552,17 +79060,17 @@ T == ModularRing(R,Mod,reduction,merge,exactQuo) -@ -<>= +\end{chunk} +\begin{chunk}{MODFIELD.dotabb} "MODFIELD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MODFIELD"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "MODFIELD" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MODRING ModularRing} -<>= +\begin{chunk}{ModularRing.input} )set break resume )sys rm -f ModularRing.output )spool ModularRing.output @@ -78601,8 +79109,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ModularRing.help} ==================================================================== ModularRing examples ==================================================================== @@ -78610,7 +79118,7 @@ See Also: o )show ModularRing -@ +\end{chunk} \pagehead{ModularRing}{MODRING} \pagepic{ps/v103modularring.ps}{MODRING}{1.00} @@ -78645,7 +79153,7 @@ \cross{MODRING}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain MODRING ModularRing} )abbrev domain MODRING ModularRing ++ Author: P.Gianni, B.Trager ++ Date Created: @@ -78735,17 +79243,17 @@ if (u:=recip x) case "failed" then error("not invertible") else u::% -@ -<>= +\end{chunk} +\begin{chunk}{MODRING.dotabb} "MODRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MODRING"] "BMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BMODULE"] "MODRING" -> "BMODULE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MODMONOM ModuleMonomial} -<>= +\begin{chunk}{ModuleMonomial.input} )set break resume )sys rm -f ModuleMonomial.output )spool ModuleMonomial.output @@ -78775,8 +79283,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ModuleMonomial.help} ==================================================================== ModuleMonomial examples ==================================================================== @@ -78784,7 +79292,7 @@ See Also: o )show ModuleMonomial -@ +\end{chunk} \pagehead{ModuleMonomial}{MODMONOM} \pagepic{ps/v103modulemonomial.ps}{MODMONOM}{1.00} @@ -78809,7 +79317,7 @@ \cross{MODMONOM}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain MODMONOM ModuleMonomial} )abbrev domain MODMONOM ModuleMonomial ++ Author: Mark Botch ++ Description: @@ -78841,17 +79349,17 @@ coerce(x:MM):$ == x::Rep::$ construct(i:IS, e:E):$ == [i, e]$MM::Rep::$ -@ -<>= +\end{chunk} +\begin{chunk}{MODMONOM.dotabb} "MODMONOM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MODMONOM"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "MODMONOM" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MODOP ModuleOperator} -<>= +\begin{chunk}{ModuleOperator.input} )set break resume )sys rm -f ModuleOperator.output )spool ModuleOperator.output @@ -78902,8 +79410,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ModuleOperator.help} ==================================================================== ModuleOperator examples ==================================================================== @@ -78911,7 +79419,7 @@ See Also: o )show ModuleOperator -@ +\end{chunk} \pagehead{ModuleOperator}{MODOP} \pagepic{ps/v103moduleoperator.ps}{MODOP}{1.00} @@ -78951,7 +79459,7 @@ \cross{MODOP}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain MODOP ModuleOperator} )abbrev domain MODOP ModuleOperator ++ Author: Manuel Bronstein ++ Date Created: 15 May 1990 @@ -79178,19 +79686,19 @@ if R has conjugate:R -> R then conjug r == conjugate r else conjug r == r -@ -<>= +\end{chunk} +\begin{chunk}{MODOP.dotabb} "MODOP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MODOP"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "MODOP" -> "FLAGG" "MODOP" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MOEBIUS MoebiusTransform} -<>= +\begin{chunk}{MoebiusTransform.input} )set break resume )sys rm -f MoebiusTransform.output )spool MoebiusTransform.output @@ -79227,8 +79735,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MoebiusTransform.help} ==================================================================== MoebiusTransform examples ==================================================================== @@ -79236,7 +79744,7 @@ See Also: o )show MoebiusTransform -@ +\end{chunk} \pagehead{MoebiusTransform}{MOEBIUS} \pagepic{ps/v103moebiustransform.ps}{MOEBIUS}{1.00} @@ -79266,7 +79774,7 @@ \cross{MOEBIUS}{?\^{}?} &&&& \end{tabular} -<>= +\begin{chunk}{domain MOEBIUS MoebiusTransform} )abbrev domain MOEBIUS MoebiusTransform ++ Author: Stephen "Say" Watt ++ Date Created: January 1987 @@ -79365,19 +79873,19 @@ list2 : List F := [a(s),b(s),c(s),d(s)] proportional?(list1,list2) -@ -<>= +\end{chunk} +\begin{chunk}{MOEBIUS.dotabb} "MOEBIUS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MOEBIUS"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "MOEBIUS" -> "FIELD" "MOEBIUS" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MRING MonoidRing} -<>= +\begin{chunk}{MonoidRing.input} )set break resume )sys rm -f MonoidRing.output )spool MonoidRing.output @@ -79433,8 +79941,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MonoidRing.help} ==================================================================== MonoidRing examples ==================================================================== @@ -79442,7 +79950,7 @@ See Also: o )show MonoidRing -@ +\end{chunk} \pagehead{MonoidRing}{MRING} \pagepic{ps/v103monoidring.ps}{MRING}{1.00} @@ -79488,7 +79996,7 @@ \cross{MRING}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain MRING MonoidRing} )abbrev domain MRING MonoidRing ++ Authors: Stephan M. Watt; revised by Johannes Grabmeier ++ Date Created: January 1986 @@ -79805,19 +80313,19 @@ addterm(Tabl, ta.Cf*tb.Cf, ta.Mn*tb.Mn) [[Tabl.m, m]$Term for m in keys Tabl] -@ -<>= +\end{chunk} +\begin{chunk}{MRING.dotabb} "MRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MRING"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "MRING" -> "FLAGG" "MRING" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MSET Multiset} -<>= +\begin{chunk}{Multiset.input} )set break resume )sys rm -f Multiset.output )spool Multiset.output @@ -79937,8 +80445,8 @@ --E 14 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Multiset.help} ==================================================================== Multiset examples ==================================================================== @@ -80031,7 +80539,7 @@ See Also: o )show Multiset -@ +\end{chunk} \pagehead{Multiset}{MSET} \pagepic{ps/v103multiset.ps}{MSET}{1.00} @@ -80086,7 +80594,7 @@ \cross{MSET}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain MSET Multiset} )abbrev domain MSET Multiset ++ Author:Stephen M. Watt, William H. Burge, Richard D. Jenks, Frederic Lehobey ++ Date Created:NK @@ -80371,17 +80879,17 @@ for e in keys t1 repeat t1.e > t2.e => return false true -@ -<>= +\end{chunk} +\begin{chunk}{MSET.dotabb} "MSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MSET"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "MSET" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MPOLY MultivariatePolynomial} -<>= +\begin{chunk}{MultivariatePolynomial.input} )set break resume )sys rm -f MultivariatePolynomial.output )spool MultivariatePolynomial.output @@ -80472,8 +80980,8 @@ --E 9 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MultivariatePolynomial.help} ==================================================================== MultivariatePolynomial examples ==================================================================== @@ -80579,7 +81087,7 @@ o )help Polynomial o )show MultivariatePolynomial -@ +\end{chunk} \pagehead{MultivariatePolynomial}{MPOLY} \pagepic{ps/v103multivariatepolynomial.ps}{MPOLY}{1.00} {\bf See}\\ @@ -80674,7 +81182,7 @@ \cross{MPOLY}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain MPOLY MultivariatePolynomial} )abbrev domain MPOLY MultivariatePolynomial ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -80697,17 +81205,17 @@ == SparseMultivariatePolynomial(--SparseUnivariatePolynomial, R, OrderedVariableList vl) -@ -<>= +\end{chunk} +\begin{chunk}{MPOLY.dotabb} "MPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MPOLY"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MPOLY" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MYEXPR MyExpression} -<>= +\begin{chunk}{MyExpression.input} )set break resume )sys rm -f MyExpression.output )spool MyExpression.output @@ -80889,8 +81397,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MyExpression.help} ==================================================================== MyExpression examples ==================================================================== @@ -80898,7 +81406,7 @@ See Also: o )show MyExpression -@ +\end{chunk} \pagehead{MyExpression}{MYEXPR} \pagepic{ps/v103myexpression.ps}{MYEXPR}{1.00} @@ -81009,7 +81517,7 @@ \cross{MYEXPR}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain MYEXPR MyExpression} )abbrev domain MYEXPR MyExpression ++ Author: Mark Botch ++ Description: @@ -81063,17 +81571,17 @@ quot::(Expression R) -@ -<>= +\end{chunk} +\begin{chunk}{MYEXPR.dotabb} "MYEXPR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MYEXPR"] "MYUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MYUP"] "MYEXPR" -> "MYUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain MYUP MyUnivariatePolynomial} -<>= +\begin{chunk}{MyUnivariatePolynomial.input} )set break resume )sys rm -f MyUnivariatePolynomial.output )spool MyUnivariatePolynomial.output @@ -81267,8 +81775,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MyUnivariatePolynomial.help} ==================================================================== MyUnivariatePolynomial examples ==================================================================== @@ -81276,7 +81784,7 @@ See Also: o )show MyUnivariatePolynomial -@ +\end{chunk} \pagehead{MyUnivariatePolynomial}{MYUP} \pagepic{ps/v103myunivariatepolynomial.ps}{MYUP}{1.00} @@ -81401,7 +81909,7 @@ \cross{MYUP}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain MYUP MyUnivariatePolynomial} )abbrev domain MYUP MyUnivariatePolynomial ++ Author: Mark Botch ++ Description: @@ -81435,19 +81943,19 @@ $UnivariatePolynomialCategoryFunctions2(Polynomial R, SparseUnivariatePolynomial Polynomial R, R, %) -@ -<>= +\end{chunk} +\begin{chunk}{MYUP.dotabb} "MYUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MYUP"] "MYEXPR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=MYEXPR"] "MYUP" -> "MYEXPR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter N} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NSDPS NeitherSparseOrDensePowerSeries} -<>= +\begin{chunk}{NeitherSparseOrDensePowerSeries.input} )set break resume )sys rm -f NeitherSparseOrDensePowerSeries.output )spool NeitherSparseOrDensePowerSeries.output @@ -81640,8 +82148,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NeitherSparseOrDensePowerSeries.help} ==================================================================== NeitherSparseOrDensePowerSeries examples ==================================================================== @@ -81649,7 +82157,7 @@ See Also: o )show NeitherSparseOrDensePowerSeries -@ +\end{chunk} \pagehead{NeitherSparseOrDensePowerSeries}{NSDPS} \pagepic{ps/v103neithersparseordensepowerseries.ps}{NSDPS}{1.00} @@ -81814,7 +82322,7 @@ \cross{NSDPS}{zero?} && \end{tabular} -<>= +\begin{chunk}{domain NSDPS NeitherSparseOrDensePowerSeries} )abbrev domain NSDPS NeitherSparseOrDensePowerSeries ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -82045,13 +82553,13 @@ concat([e1+e2,c1*c2]$TERM,_ multC(c1,e1,rest(s2))+multC(c2,e2,rest(s1))+rest(s1)*rest(s2)) -@ -<>= +\end{chunk} +\begin{chunk}{NSDPS.dotabb} "NSDPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NSDPS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NSDPS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NSMP NewSparseMultivariatePolynomial} @@ -82061,7 +82569,7 @@ some additional operations related to polynomial system solving by means of triangular sets. -<>= +\begin{chunk}{NewSparseMultivariatePolynomial.input} )set break resume )sys rm -f NewSparseMultivariatePolynomial.output )spool NewSparseMultivariatePolynomial.output @@ -82262,8 +82770,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NewSparseMultivariatePolynomial.help} ==================================================================== NewSparseMultivariatePolynomial examples ==================================================================== @@ -82271,7 +82779,7 @@ See Also: o )show NewSparseMultivariatePolynomial -@ +\end{chunk} \pagehead{NewSparseMultivariatePolynomial}{NSMP} \pagepic{ps/v103newsparsemultivariatepolynomial.ps}{NSMP}{1.00} @@ -82415,7 +82923,7 @@ \cross{NSMP}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain NSMP NewSparseMultivariatePolynomial} )abbrev domain NSMP NewSparseMultivariatePolynomial ++ Author: Marc Moreno Maza ++ Date Created: 22/04/94 @@ -82818,13 +83326,13 @@ unitCanonical(map((a1:%):% +-> exactQuotient!(a1,cp),p.ts)$SUP2)$D p -@ -<>= +\end{chunk} +\begin{chunk}{NSMP.dotabb} "NSMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NSMP"] "RPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RPOLCAT"] "NSMP" -> "RPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NSUP NewSparseUnivariatePolynomial} @@ -82832,7 +83340,7 @@ constructor {\bf NewSparseUnivariatePolynomial} extends the constructur {\bf SparseUnivariatePolynomial}. -<>= +\begin{chunk}{NewSparseUnivariatePolynomial.input} )set break resume )sys rm -f NewSparseUnivariatePolynomial.output )spool NewSparseUnivariatePolynomial.output @@ -83039,8 +83547,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NewSparseUnivariatePolynomial.help} ==================================================================== NewSparseUnivariatePolynomial examples ==================================================================== @@ -83048,7 +83556,7 @@ See Also: o )show NewSparseUnivariatePolynomial -@ +\end{chunk} \pagehead{NewSparseUnivariatePolynomial}{NSUP} \pagepic{ps/v103newsparseunivariatepolynomial.ps}{NSUP}{1.00} @@ -83186,7 +83694,7 @@ \cross{NSUP}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain NSUP NewSparseUnivariatePolynomial} )abbrev domain NSUP NewSparseUnivariatePolynomial ++ Author: Marc Moreno Maza ++ Date Created: 23/07/98 @@ -83447,17 +83955,17 @@ zero? pow => per reverse qq (co ** pow) * (per reverse qq) -@ -<>= +\end{chunk} +\begin{chunk}{NSUP.dotabb} "NSUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NSUP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "NSUP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NONE None} -<>= +\begin{chunk}{None.input} )set break resume )sys rm -f None.output )spool None.output @@ -83489,8 +83997,8 @@ --E 3 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{None.help} ==================================================================== None examples ==================================================================== @@ -83522,7 +84030,7 @@ See Also: o )show None -@ +\end{chunk} \pagehead{None}{NONE} \pagepic{ps/v103none.ps}{NONE}{1.00} {\bf See}\\ @@ -83537,7 +84045,7 @@ \cross{NONE}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain NONE None} )abbrev domain NONE None ++ Author: Mark Botch ++ Date Created: @@ -83556,19 +84064,19 @@ coerce(none:%):OutputForm == "NONE" :: OutputForm x:% = y:% == EQ(x,y)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{NONE.dotabb} "NONE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NONE"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "NONE" -> "BASTYPE" "NONE" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NNI NonNegativeInteger} -<>= +\begin{chunk}{NonNegativeInteger.input} )set break resume )sys rm -f NonNegativeInteger.output )spool NonNegativeInteger.output @@ -83609,8 +84117,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NonNegativeInteger.help} ==================================================================== NonNegativeInteger examples ==================================================================== @@ -83618,7 +84126,7 @@ See Also: o )show NonNegativeInteger -@ +\end{chunk} \pagehead{NonNegativeInteger}{NNI} \pagepic{ps/v103nonnegativeinteger.ps}{NNI}{1.00} @@ -83661,7 +84169,7 @@ \cross{NNI}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain NNI NonNegativeInteger} )abbrev domain NNI NonNegativeInteger ++ Author: Mark Botch ++ Date Created: @@ -83704,17 +84212,17 @@ c < 0 => "failed" c pretend % -@ -<>= +\end{chunk} +\begin{chunk}{NNI.dotabb} "NNI" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NNI",shape=ellipse] "OAMONS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMONS"] "NNI" -> "OAMONS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NOTTING NottinghamGroup} -<>= +\begin{chunk}{NottinghamGroup.input} )set break resume )sys rm -f NottinghamGroup.output )spool NottinghamGroup.output @@ -83809,8 +84317,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NottinghamGroup.help} ==================================================================== NottinghamGroup examples ==================================================================== @@ -83853,7 +84361,7 @@ o )show NottinghamGroup o )show UnivariateFormalPowerSeries -@ +\end{chunk} \pagehead{NottinghamGroup}{NOTTING} \pagepic{ps/v103nottinghamgroup.ps}{NOTTING}{1.00} @@ -83878,7 +84386,7 @@ \cross{NOTTING}{\^{}} &&& \end{tabular} -<>= +\begin{chunk}{domain NOTTING NottinghamGroup} )abbrev domain NOTTING NottinghamGroup ++ Author: Mark Botch ++ Description: @@ -83902,17 +84410,17 @@ inv f == revert f -@ -<>= +\end{chunk} +\begin{chunk}{NOTTING.dotabb} "NOTTING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NOTTING"] "UFPS" [color="#4488FF",href="bookvol10.3.pdf#nameddest=UFPS"] "NOTTING" -> "UFPS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain NIPROB NumericalIntegrationProblem} -<>= +\begin{chunk}{NumericalIntegrationProblem.input} )set break resume )sys rm -f NumericalIntegrationProblem.output )spool NumericalIntegrationProblem.output @@ -83940,8 +84448,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NumericalIntegrationProblem.help} ==================================================================== NumericalIntegrationProblem examples ==================================================================== @@ -83949,7 +84457,7 @@ See Also: o )show NumericalIntegrationProblem -@ +\end{chunk} \pagehead{NumericalIntegrationProblem}{NIPROB} \pagepic{ps/v103numericalintegrationproblem.ps}{NIPROB}{1.00} @@ -83964,7 +84472,7 @@ \cross{NIPROB}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain NIPROB NumericalIntegrationProblem} )abbrev domain NIPROB NumericalIntegrationProblem ++ Author: Brian Dupee ++ Date Created: December 1997 @@ -84026,19 +84534,19 @@ (x) case nia => [x.nia] [x.mdnia] -@ -<>= +\end{chunk} +\begin{chunk}{NIPROB.dotabb} "NIPROB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NIPROB"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "NIPROB" -> "BASTYPE" "NIPROB" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ODEPROB NumericalODEProblem} -<>= +\begin{chunk}{NumericalODEProblem.input} )set break resume )sys rm -f NumericalODEProblem.output )spool NumericalODEProblem.output @@ -84064,8 +84572,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NumericalODEProblem.help} ==================================================================== NumericalODEProblem examples ==================================================================== @@ -84073,7 +84581,7 @@ See Also: o )show NumericalODEProblem -@ +\end{chunk} \pagehead{NumericalODEProblem}{ODEPROB} \pagepic{ps/v103numericalodeproblem.ps}{ODEPROB}{1.00} @@ -84088,7 +84596,7 @@ \cross{ODEPROB}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain ODEPROB NumericalODEProblem} )abbrev domain ODEPROB NumericalODEProblem ++ Author: Brian Dupee ++ Date Created: December 1997 @@ -84134,19 +84642,19 @@ (retract(x))::OutputForm retract(x:%):ODEAB == x :: Rep -@ -<>= +\end{chunk} +\begin{chunk}{ODEPROB.dotabb} "ODEPROB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ODEPROB"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "ODEPROB" -> "BASTYPE" "ODEPROB" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OPTPROB NumericalOptimizationProblem} -<>= +\begin{chunk}{NumericalOptimizationProblem.input} )set break resume )sys rm -f NumericalOptimizationProblem.output )spool NumericalOptimizationProblem.output @@ -84174,8 +84682,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NumericalOptimizationProblem.help} ==================================================================== NumericalOptimizationProblem examples ==================================================================== @@ -84183,7 +84691,7 @@ See Also: o )show NumericalOptimizationProblem -@ +\end{chunk} \pagehead{NumericalOptimizationProblem}{OPTPROB} \pagepic{ps/v103numericaloptimizationproblem.ps}{OPTPROB}{1.00} @@ -84198,7 +84706,7 @@ \cross{OPTPROB}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain OPTPROB NumericalOptimizationProblem} )abbrev domain OPTPROB NumericalOptimizationProblem ++ Author: Brian Dupee ++ Date Created: December 1997 @@ -84261,19 +84769,19 @@ (x) case noa => [x.noa] [x.lsa] -@ -<>= +\end{chunk} +\begin{chunk}{OPTPROB.dotabb} "OPTPROB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OPTPROB"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "OPTPROB" -> "BASTYPE" "OPTPROB" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PDEPROB NumericalPDEProblem} -<>= +\begin{chunk}{NumericalPDEProblem.input} )set break resume )sys rm -f NumericalPDEProblem.output )spool NumericalPDEProblem.output @@ -84299,8 +84807,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NumericalPDEProblem.help} ==================================================================== NumericalPDEProblem examples ==================================================================== @@ -84308,7 +84816,7 @@ See Also: o )show NumericalPDEProblem -@ +\end{chunk} \pagehead{NumericalPDEProblem}{PDEPROB} \pagepic{ps/v103numericalpdeproblem.ps}{PDEPROB}{1.00} @@ -84323,7 +84831,7 @@ \cross{PDEPROB}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain PDEPROB NumericalPDEProblem} )abbrev domain PDEPROB NumericalPDEProblem ++ Author: Brian Dupee ++ Date Created: December 1997 @@ -84380,15 +84888,15 @@ (retract(x))::OutputForm retract(x:%):PDEBC == x :: Rep -@ -<>= +\end{chunk} +\begin{chunk}{PDEPROB.dotabb} "PDEPROB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PDEPROB"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "PDEPROB" -> "BASTYPE" "PDEPROB" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter O} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -84436,7 +84944,7 @@ associative, since $I*(J*K) \ne (I*J)*K$. \includegraphics{ps/v103octoniongraph.eps} -<>= +\begin{chunk}{Octonion.input} )set break resume )sys rm -f Octonion.output )spool Octonion.output @@ -84566,8 +85074,8 @@ --E 15 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Octonion.help} ==================================================================== Octonion examples ==================================================================== @@ -84672,7 +85180,7 @@ o )help Quaternion o )show Octonion -@ +\end{chunk} \pagehead{Octonion}{OCT} \pagepic{ps/v103octonion.ps}{OCT}{1.00} @@ -84732,7 +85240,7 @@ \cross{OCT}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain OCT Octonion} )abbrev domain OCT Octonion ++ Author: R. Wisbauer, J. Grabmeier ++ Date Created: 05 September 1990 @@ -84796,19 +85304,19 @@ quatern(real x, imagi x,imagj x, imagk x)$QR x * y == [x.e*y.e-(conjugate y.E)*x.E, y.E*x.e + x.E*(conjugate y.e)] -@ -<>= +\end{chunk} +\begin{chunk}{OCT.dotabb} "OCT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OCT"] "OC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OC"] "QUATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=QUATCAT"] "OCT" -> "OC" "OCT" -> "QUATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ODEIFTBL ODEIntensityFunctionsTable} -<>= +\begin{chunk}{ODEIntensityFunctionsTable.input} )set break resume )sys rm -f ODEIntensityFunctionsTable.output )spool ODEIntensityFunctionsTable.output @@ -84834,8 +85342,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ODEIntensityFunctionsTable.help} ==================================================================== ODEIntensityFunctionsTable examples ==================================================================== @@ -84843,7 +85351,7 @@ See Also: o )show ODEIntensityFunctionsTable -@ +\end{chunk} \pagehead{ODEIntensityFunctionsTable}{ODEIFTBL} \pagepic{ps/v103odeintensityfunctionstable.ps}{ODEIFTBL}{1.00} @@ -84858,7 +85366,7 @@ \cross{ODEIFTBL}{showTheIFTable} \end{tabular} -<>= +\begin{chunk}{domain ODEIFTBL ODEIntensityFunctionsTable} )abbrev domain ODEIFTBL ODEIntensityFunctionsTable ++ Author: Brian Dupee ++ Date Created: May 1994 @@ -84935,17 +85443,17 @@ showIntensityFunctions(k:ODEA):Union(ATT,"failed") == search(k,theIFTable)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{ODEIFTBL.dotabb} "ODEIFTBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ODEIFTBL"] "Domain" [color="#88FF44"] "ODEIFTBL" -> "Domain" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ARRAY1 OneDimensionalArray} -<>= +\begin{chunk}{OneDimensionalArray.input} )set break resume )sys rm -f OneDimensionalArray.output )spool OneDimensionalArray.output @@ -85025,8 +85533,8 @@ --E 9 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OneDimensionalArray.help} ==================================================================== OneDimensionalArray examples ==================================================================== @@ -85100,7 +85608,7 @@ o )help FlexibleArray o )show OneDimensionalArray -@ +\end{chunk} \pagehead{OneDimensionalArray}{ARRAY1} \pagepic{ps/v103onedimensionalarray.ps}{ARRAY1}{1.00} {\bf See}\\ @@ -85177,7 +85685,7 @@ \cross{ARRAY1}{?.?} && \end{tabular} -<>= +\begin{chunk}{domain ARRAY1 OneDimensionalArray} )abbrev domain ARRAY1 OneDimensionalArray ++ Author: Mark Botch ++ Description: @@ -85205,17 +85713,17 @@ a oneDimensionalArray(n,s) == new(n,s) -@ -<>= +\end{chunk} +\begin{chunk}{ARRAY1.dotabb} "ARRAY1" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ARRAY1"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "ARRAY1" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ONECOMP OnePointCompletion} -<>= +\begin{chunk}{OnePointCompletion.input} )set break resume )sys rm -f OnePointCompletion.output )spool OnePointCompletion.output @@ -85279,8 +85787,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OnePointCompletion.help} ==================================================================== OnePointCompletion examples ==================================================================== @@ -85288,7 +85796,7 @@ See Also: o )show OnePointCompletion -@ +\end{chunk} \pagehead{OnePointCompletion}{ONECOMP} \pagepic{ps/v103onepointcompletion.ps}{ONECOMP}{1.00} @@ -85337,7 +85845,7 @@ \cross{ONECOMP}{?\^{}?} && \end{tabular} -<>= +\begin{chunk}{domain ONECOMP OnePointCompletion} )abbrev domain ONECOMP OnePointCompletion ++ Author: Manuel Bronstein ++ Date Created: 4 Oct 1989 @@ -85441,17 +85949,17 @@ (r:= retractIfCan(x)@Union(R,"failed")) case "failed" =>"failed" rational(r::R) -@ -<>= +\end{chunk} +\begin{chunk}{ONECOMP.dotabb} "ONECOMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ONECOMP"] "FRETRCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRETRCT"] "ONECOMP" -> "FRETRCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OMCONN OpenMathConnection} -<>= +\begin{chunk}{OpenMathConnection.input} )set break resume )sys rm -f OpenMathConnection.output )spool OpenMathConnection.output @@ -85477,8 +85985,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OpenMathConnection.help} ==================================================================== OpenMathConnection examples ==================================================================== @@ -85486,7 +85994,7 @@ See Also: o )show OpenMathConnection -@ +\end{chunk} \pagehead{OpenMathConnection}{OMCONN} \pagepic{ps/v103openmathconnection.ps}{OMCONN}{1.00} @@ -85504,7 +86012,7 @@ \cross{OMCONN}{OMmakeConn} && \end{tabular} -<>= +\begin{chunk}{domain OMCONN OpenMathConnection} )abbrev domain OMCONN OpenMathConnection ++ Author: Vilya Harvey ++ Date Created: @@ -85540,17 +86048,17 @@ OMbindTCP(conn: %, port: SingleInteger): Boolean == OM_-BINDTCP(conn, port)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{OMCONN.dotabb} "OMCONN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OMCONN"] "Domain" [color="#88FF44"] "OMCONN" -> "Domain" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OMDEV OpenMathDevice} -<>= +\begin{chunk}{OpenMathDevice.input} )set break resume )sys rm -f OpenMathDevice.output )spool OpenMathDevice.output @@ -85597,8 +86105,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OpenMathDevice.help} ==================================================================== OpenMathDevice examples ==================================================================== @@ -85606,7 +86114,7 @@ See Also: o )show OpenMathDevice -@ +\end{chunk} \pagehead{OpenMathDevice}{OMDEV} \pagepic{ps/v103openmathdevice.ps}{OMDEV}{1.00} @@ -85661,7 +86169,7 @@ \cross{OMDEV}{OMsetEncoding} & \end{tabular} -<>= +\begin{chunk}{domain OMDEV OpenMathDevice} )abbrev domain OMDEV OpenMathDevice ++ Author: Vilya Harvey ++ Date Created: @@ -85826,17 +86334,17 @@ OMgetType(dev: %): Symbol == OM_-GETTYPE(dev)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{OMDEV.dotabb} "OMDEV" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OMDEV"] "Domain" [color="#88FF44"] "OMDEV" -> "Domain" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OMENC OpenMathEncoding} -<>= +\begin{chunk}{OpenMathEncoding.input} )set break resume )sys rm -f OpenMathEncoding.output )spool OpenMathEncoding.output @@ -85862,8 +86370,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OpenMathEncoding.help} ==================================================================== OpenMathEncoding examples ==================================================================== @@ -85871,7 +86379,7 @@ See Also: o )show OpenMathEncoding -@ +\end{chunk} \pagehead{OpenMathEncoding}{OMENC} \pagepic{ps/v103openmathencoding.ps}{OMENC}{1.00} @@ -85892,7 +86400,7 @@ \cross{OMENC}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain OMENC OpenMathEncoding} )abbrev domain OMENC OpenMathEncoding ++ Author: Vilya Harvey ++ Date Created: @@ -85936,19 +86444,19 @@ OMencodingXML(): % == 2::Rep OMencodingSGML(): % == 3::Rep -@ -<>= +\end{chunk} +\begin{chunk}{OMENC.dotabb} "OMENC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OMENC"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "OMENC" -> "BASTYPE" "OMENC" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OMERR OpenMathError} -<>= +\begin{chunk}{OpenMathError.input} )set break resume )sys rm -f OpenMathError.output )spool OpenMathError.output @@ -85974,8 +86482,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OpenMathError.help} ==================================================================== OpenMathError examples ==================================================================== @@ -85983,7 +86491,7 @@ See Also: o )show OpenMathError -@ +\end{chunk} \pagehead{OpenMathError}{OMERR} \pagepic{ps/v103openmatherror.ps}{OMERR}{1.00} @@ -86002,7 +86510,7 @@ \cross{OMERR}{?~=?} \end{tabular} -<>= +\begin{chunk}{domain OMERR OpenMathError} )abbrev domain OMERR OpenMathError ++ Author: Vilya Harvey ++ Date Created: @@ -86048,17 +86556,17 @@ errorKind(e:%):OpenMathErrorKind == e.err errorInfo(e:%):List Symbol == e.info -@ -<>= +\end{chunk} +\begin{chunk}{OMERR.dotabb} "OMERR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OMERR"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "OMERR" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OMERRK OpenMathErrorKind} -<>= +\begin{chunk}{OpenMathErrorKind.input} )set break resume )sys rm -f OpenMathErrorKind.output )spool OpenMathErrorKind.output @@ -86084,8 +86592,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OpenMathErrorKind.help} ==================================================================== OpenMathErrorKind examples ==================================================================== @@ -86093,7 +86601,7 @@ See Also: o )show OpenMathErrorKind -@ +\end{chunk} \pagehead{OpenMathErrorKind}{OMERRK} \pagepic{ps/v103openmatherrorkind.ps}{OMERRK}{1.00} @@ -86113,7 +86621,7 @@ \cross{OMERRK}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain OMERRK OpenMathErrorKind} )abbrev domain OMERRK OpenMathErrorKind ++ Author: Vilya Harvey ++ Date Created: @@ -86163,17 +86671,17 @@ coerce(e:%):OutputForm == coerce(e)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{OMERRK.dotabb} "OMERRK" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OMERRK"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "OMERRK" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OP Operator} -<>= +\begin{chunk}{Operator.input} )set break resume )sys rm -f Operator.output )spool Operator.output @@ -86379,8 +86887,8 @@ --E 21 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Operator.help} ==================================================================== Operator examples ==================================================================== @@ -86558,7 +87066,7 @@ See Also: o )show Operator -@ +\end{chunk} \pagehead{Operator}{OP} \pagepic{ps/v103operator.ps}{OP}{1.00} {\bf See}\\ @@ -86597,7 +87105,7 @@ \cross{MODOP}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain OP Operator} )abbrev domain OP Operator ++ Author: Manuel Bronstein ++ Date Created: 15 May 1990 @@ -86607,17 +87115,17 @@ Operator(R: Ring) == ModuleOperator(R,R) -@ -<>= +\end{chunk} +\begin{chunk}{OP.dotabb} "OP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OP"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "OP" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OMLO OppositeMonogenicLinearOperator} -<>= +\begin{chunk}{OppositeMonogenicLinearOperator.input} )set break resume )sys rm -f OppositeMonogenicLinearOperator.output )spool OppositeMonogenicLinearOperator.output @@ -86664,8 +87172,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OppositeMonogenicLinearOperator.help} ==================================================================== OppositeMonogenicLinearOperator examples ==================================================================== @@ -86673,7 +87181,7 @@ See Also: o )show OppositeMonogenicLinearOperator -@ +\end{chunk} \pagehead{OppositeMonogenicLinearOperator}{OMLO} \pagepic{ps/v103oppositemonogeniclinearoperator.ps}{OMLO}{1.00} @@ -86715,7 +87223,7 @@ \cross{OMLO}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain OMLO OppositeMonogenicLinearOperator} )abbrev domain OMLO OppositeMonogenicLinearOperator ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -86751,17 +87259,17 @@ x*y == (y:P) *$P (x:P) coerce(x): OutputForm == prefix(op::OutputForm, [coerce(x:P)$P]) -@ -<>= +\end{chunk} +\begin{chunk}{OMLO.dotabb} "OMLO" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OMLO"] "MLO" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MLO"] "OMLO" -> "MLO" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ORDCOMP OrderedCompletion} -<>= +\begin{chunk}{OrderedCompletion.input} )set break resume )sys rm -f OrderedCompletion.output )spool OrderedCompletion.output @@ -86826,8 +87334,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedCompletion.help} ==================================================================== OrderedCompletion examples ==================================================================== @@ -86835,7 +87343,7 @@ See Also: o )show OrderedCompletion -@ +\end{chunk} \pagehead{OrderedCompletion}{ORDCOMP} \pagepic{ps/v103orderedcompletion.ps}{ORDCOMP}{1.00} @@ -86885,7 +87393,7 @@ \cross{ORDCOMP}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain ORDCOMP OrderedCompletion} )abbrev domain ORDCOMP OrderedCompletion ++ Author: Manuel Bronstein ++ Date Created: 4 Oct 1989 @@ -87015,17 +87523,17 @@ (r:= retractIfCan(x)@Union(R,"failed")) case "failed" =>"failed" rational(r::R) -@ -<>= +\end{chunk} +\begin{chunk}{ORDCOMP.dotabb} "ORDCOMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ORDCOMP"] "FRETRCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRETRCT"] "ORDCOMP" -> "FRETRCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ODP OrderedDirectProduct} -<>= +\begin{chunk}{OrderedDirectProduct.input} )set break resume )sys rm -f OrderedDirectProduct.output )spool OrderedDirectProduct.output @@ -87149,8 +87657,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedDirectProduct.help} ==================================================================== OrderedDirectProduct examples ==================================================================== @@ -87158,7 +87666,7 @@ See Also: o )show OrderedDirectProduct -@ +\end{chunk} \pagehead{OrderedDirectProduct}{ODP} \pagepic{ps/v103ordereddirectproduct.ps}{ODP}{1.00} @@ -87245,7 +87753,7 @@ \cross{ODP}{?.?} \end{tabular} -<>= +\begin{chunk}{domain ODP OrderedDirectProduct} )abbrev domain ODP OrderedDirectProduct -- all direct product category domains must be compiled -- without subsumption, set SourceLevelSubset to EQUAL @@ -87276,17 +87784,17 @@ Rep:=Vector(S) x:% < y:% == f(x::Rep,y::Rep) -@ -<>= +\end{chunk} +\begin{chunk}{ODP.dotabb} "ODP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ODP"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "ODP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OFMONOID OrderedFreeMonoid} -<>= +\begin{chunk}{OrderedFreeMonoid.input} )set break resume )sys rm -f OrderedFreeMonoid.output )spool OrderedFreeMonoid.output @@ -87687,8 +88195,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedFreeMonoid.help} ==================================================================== OrderedFreeMonoid examples ==================================================================== @@ -87810,7 +88318,7 @@ See Also: o )show OrderedFreeMonoid -@ +\end{chunk} \pagehead{OrderedFreeMonoid}{OFMONOID} \pagepic{ps/v103orderedfreemonoid.ps}{OFMONOID}{1.00} @@ -87854,7 +88362,7 @@ \cross{OFMONOID}{?div?} &&&& \end{tabular} -<>= +\begin{chunk}{domain OFMONOID OrderedFreeMonoid} )abbrev domain OFMONOID OrderedFreeMonoid ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -88084,19 +88592,19 @@ mirror x == reverse(x)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{OFMONOID.dotabb} "OFMONOID" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OFMONOID"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "OFMONOID" -> "FLAGG" "OFMONOID" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OVAR OrderedVariableList} -<>= +\begin{chunk}{OrderedVariableList.input} )set break resume )sys rm -f OrderedVariableList.output )spool OrderedVariableList.output @@ -88146,8 +88654,8 @@ --E 5 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderedVariableList.help} ==================================================================== OrderedVariableList examples ==================================================================== @@ -88190,7 +88698,7 @@ See Also: o )show OrderedVariableList -@ +\end{chunk} \pagehead{OrderedVariableList}{OVAR} \pagepic{ps/v103orderedvariablelist.ps}{OVAR}{1.00} @@ -88215,7 +88723,7 @@ \cross{OVAR}{?$>=$?} &&& \end{tabular} -<>= +\begin{chunk}{domain OVAR OrderedVariableList} )abbrev domain OVAR OrderedVariableList ++ Author: Mark Botch ++ Description: @@ -88246,17 +88754,17 @@ s1 = s2 == s1 =$Rep s2 latex(x:%):String == latex(convert(x)@Symbol) -@ -<>= +\end{chunk} +\begin{chunk}{OVAR.dotabb} "OVAR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OVAR"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "OVAR" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ODPOL OrderlyDifferentialPolynomial} -<>= +\begin{chunk}{OrderlyDifferentialPolynomial.input} )set break resume )sys rm -f OrderlyDifferentialPolynomial.output )spool OrderlyDifferentialPolynomial.output @@ -88601,8 +89109,8 @@ --E 36 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderlyDifferentialPolynomial.help} ==================================================================== OrderlyDifferentialPolynomial examples ==================================================================== @@ -88907,7 +89415,7 @@ See Also: o )show OrderlyDifferentialPolynomial -@ +\end{chunk} \pagehead{OrderlyDifferentialPolynomial}{ODPOL} \pagepic{ps/v103orderlydifferentialpolynomial.ps}{ODPOL}{1.00} @@ -89014,7 +89522,7 @@ \cross{ODPOL}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain ODPOL OrderlyDifferentialPolynomial} )abbrev domain ODPOL OrderlyDifferentialPolynomial ++ Author: William Sit ++ Date Created: 24 September, 1991 @@ -89046,17 +89554,17 @@ Implementation ==> DifferentialSparseMultivariatePolynomial(R,S,V) -@ -<>= +\end{chunk} +\begin{chunk}{ODPOL.dotabb} "ODPOL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ODPOL"] "DPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DPOLCAT"] "ODPOL" -> "DPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ODVAR OrderlyDifferentialVariable} -<>= +\begin{chunk}{OrderlyDifferentialVariable.input} )set break resume )sys rm -f OrderlyDifferentialVariable.output )spool OrderlyDifferentialVariable.output @@ -89089,8 +89597,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrderlyDifferentialVariable.help} ==================================================================== OrderlyDifferentialVariable examples ==================================================================== @@ -89098,7 +89606,7 @@ See Also: o )show OrderlyDifferentialVariable -@ +\end{chunk} \pagehead{OrderlyDifferentialVariable}{ODVAR} \pagepic{ps/v103orderlydifferentialvariable.ps}{ODVAR}{1.00} @@ -89130,7 +89638,7 @@ \cross{ODVAR}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain ODVAR OrderlyDifferentialVariable} )abbrev domain ODVAR OrderlyDifferentialVariable ++ Author: William Sit ++ Date Created: 19 July 1990 @@ -89162,19 +89670,19 @@ variable v == v.var order v == v.ord -@ -<>= +\end{chunk} +\begin{chunk}{ODVAR.dotabb} "ODVAR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ODVAR"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "RETRACT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RETRACT"] "ODVAR" -> "ORDSET" "ODVAR" -> "RETRACT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ODR OrdinaryDifferentialRing} -<>= +\begin{chunk}{OrdinaryDifferentialRing.input} )set break resume )sys rm -f OrdinaryDifferentialRing.output )spool OrdinaryDifferentialRing.output @@ -89246,8 +89754,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrdinaryDifferentialRing.help} ==================================================================== OrdinaryDifferentialRing examples ==================================================================== @@ -89255,7 +89763,7 @@ See Also: o )show OrdinaryDifferentialRing -@ +\end{chunk} \pagehead{OrdinaryDifferentialRing}{ODR} \pagepic{ps/v103ordinarydifferentialring.ps}{ODR}{1.00} @@ -89312,7 +89820,7 @@ \cross{ODR}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain ODR OrdinaryDifferentialRing} )abbrev domain ODR OrdinaryDifferentialRing ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -89350,17 +89858,17 @@ p ** n == ((p::R) **$R n)::$ inv(p) == (inv(p::R)$R)::$ -@ -<>= +\end{chunk} +\begin{chunk}{ODR.dotabb} "ODR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ODR"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "ODR" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OWP OrdinaryWeightedPolynomials} -<>= +\begin{chunk}{OrdinaryWeightedPolynomials.input} )set break resume )sys rm -f OrdinaryWeightedPolynomials.output )spool OrdinaryWeightedPolynomials.output @@ -89402,8 +89910,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrdinaryWeightedPolynomials.help} ==================================================================== OrdinaryWeightedPolynomials examples ==================================================================== @@ -89411,7 +89919,7 @@ See Also: o )show OrdinaryWeightedPolynomials -@ +\end{chunk} \pagehead{OrdinaryWeightedPolynomials}{OWP} \pagepic{ps/v103ordinaryweightedpolynomials.ps}{OWP}{1.00} @@ -89441,7 +89949,7 @@ \cross{OWP}{?/?} &&&& \end{tabular} -<>= +\begin{chunk}{domain OWP OrdinaryWeightedPolynomials} )abbrev domain OWP OrdinaryWeightedPolynomials ++ Author: James Davenport ++ Date Created: 17 April 1992 @@ -89480,17 +89988,17 @@ Polynomial(R), vl,wl,wtlevel) -@ -<>= +\end{chunk} +\begin{chunk}{OWP.dotabb} "OWP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OWP"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "OWP" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OSI OrdSetInts} -<>= +\begin{chunk}{OrdSetInts.input} )set break resume )sys rm -f OrdSetInts.output )spool OrdSetInts.output @@ -89518,8 +90026,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OrdSetInts.help} ==================================================================== OrdSetInts examples ==================================================================== @@ -89527,7 +90035,7 @@ See Also: o )show OrdSetInts -@ +\end{chunk} \pagehead{OrdSetInts}{OSI} \pagepic{ps/v103ordsetints.ps}{OSI}{1.00} @@ -89551,7 +90059,7 @@ \cross{OSI}{?$>=$?} &&& \end{tabular} -<>= +\begin{chunk}{domain OSI OrdSetInts} )abbrev domain OSI OrdSetInts ++ Author: Larry Lambe ++ Date created: 14 August 1988 @@ -89586,17 +90094,17 @@ coerce(x):O == sub(e::Symbol::O, coerce(x)$Rep)$O -@ -<>= +\end{chunk} +\begin{chunk}{OSI.dotabb} "OSI" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OSI"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "OSI" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OUTFORM OutputForm} -<>= +\begin{chunk}{OutputForm.input} )set break resume )sys rm -f OutputForm.output )spool OutputForm.output @@ -89671,8 +90179,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{OutputForm.help} ==================================================================== OutputForm examples ==================================================================== @@ -89680,7 +90188,7 @@ See Also: o )show OutputForm -@ +\end{chunk} \pagehead{OutputForm}{OUTFORM} \pagepic{ps/v103outputform.ps}{OUTFORM}{1.00} @@ -89769,7 +90277,7 @@ \cross{OUTFORM}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain OUTFORM OutputForm} )abbrev domain OUTFORM OutputForm ++ Keywords: output, I/O, expression ++ SMW March/88 @@ -90221,21 +90729,21 @@ int(a,b) == [eform INTSIGN,b, empty(), a] int(a,b,c) == [eform INTSIGN,b, c, a] -@ -<>= +\end{chunk} +\begin{chunk}{OUTFORM.dotabb} "OUTFORM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OUTFORM", shape=ellipse] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "OUTFORM" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter P} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PADIC PAdicInteger} -<>= +\begin{chunk}{PAdicInteger.input} )set break resume )sys rm -f PAdicInteger.output )spool PAdicInteger.output @@ -90293,8 +90801,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PAdicInteger.help} ==================================================================== PAdicInteger examples ==================================================================== @@ -90302,7 +90810,7 @@ See Also: o )show PAdicInteger -@ +\end{chunk} \pagehead{PAdicInteger}{PADIC} \pagepic{ps/v103padicinteger.ps}{PADIC}{1.00} @@ -90364,7 +90872,7 @@ \cross{PADIC}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain PADIC PAdicInteger} )abbrev domain PADIC PAdicInteger ++ Author: Clifton J. Williamson ++ Date Created: 20 August 1989 @@ -90383,17 +90891,17 @@ PAdicInteger(p:Integer) == InnerPAdicInteger(p,true$Boolean) -@ -<>= +\end{chunk} +\begin{chunk}{PADIC.dotabb} "PADIC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PADIC"] "PADICCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PADICCT"] "PADIC" -> "PADICCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PADICRAT PAdicRational} -<>= +\begin{chunk}{PAdicRational.input} )set break resume )sys rm -f PAdicRational.output )spool PAdicRational.output @@ -90524,8 +91032,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PAdicRational.help} ==================================================================== PAdicRational examples ==================================================================== @@ -90533,7 +91041,7 @@ See Also: o )show PAdicRational -@ +\end{chunk} \pagehead{PAdicRational}{PADICRAT} \pagepic{ps/v103padicrational.ps}{PADICRAT}{1.00} @@ -90630,7 +91138,7 @@ \cross{PADICRAT}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain PADICRAT PAdicRational} )abbrev domain PADICRAT PAdicRational ++ Author: Clifton J. Williamson ++ Date Created: 15 May 1990 @@ -90649,17 +91157,17 @@ PAdicRational(p:Integer) == PAdicRationalConstructor(p,PAdicInteger p) -@ -<>= +\end{chunk} +\begin{chunk}{PADICRAT.dotabb} "PADICRAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PADICRAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PADICRAT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PADICRC PAdicRationalConstructor} -<>= +\begin{chunk}{PAdicRationalConstructor.input} )set break resume )sys rm -f PAdicRationalConstructor.output )spool PAdicRationalConstructor.output @@ -90789,8 +91297,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PAdicRationalConstructor.help} ==================================================================== PAdicRationalConstructor examples ==================================================================== @@ -90798,7 +91306,7 @@ See Also: o )show PAdicRationalConstructor -@ +\end{chunk} \pagehead{PAdicRationalConstructor}{PADICRC} \pagepic{ps/v103padicrationalconstructor.ps}{PADICRC}{1.00} @@ -90896,7 +91404,7 @@ \cross{PADICRC}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain PADICRC PAdicRationalConstructor} )abbrev domain PADICRC PAdicRationalConstructor ++ Author: Clifton J. Williamson ++ Date Created: 10 May 1990 @@ -91079,17 +91587,17 @@ empty? l => 0 :: OUT reduce("+",reverse_! l) -@ -<>= +\end{chunk} +\begin{chunk}{PADICRC.dotabb} "PADICRC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PADICRC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PADICRC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PALETTE Palette} -<>= +\begin{chunk}{Palette.input} )set break resume )sys rm -f Palette.output )spool Palette.output @@ -91117,8 +91625,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Palette.help} ==================================================================== Palette examples ==================================================================== @@ -91126,7 +91634,7 @@ See Also: o )show Palette -@ +\end{chunk} \pagehead{Palette}{PALETTE} \pagepic{ps/v103palette.ps}{PALETTE}{1.00} @@ -91149,7 +91657,7 @@ \cross{PALETTE}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain PALETTE Palette} )abbrev domain PALETTE Palette ++ Author: Jim Wen ++ Date Created: May 10th 1989 @@ -91203,19 +91711,19 @@ hconcat ["[",coerce(p.hueField),"] from the ",_ SHADE.(p.shadeField)," palette"] -@ -<>= +\end{chunk} +\begin{chunk}{PALETTE.dotabb} "PALETTE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PALETTE"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "PALETTE" -> "BASTYPE" "PALETTE" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PARPCURV ParametricPlaneCurve} -<>= +\begin{chunk}{ParametricPlaneCurve.input} )set break resume )sys rm -f ParametricPlaneCurve.output )spool ParametricPlaneCurve.output @@ -91238,8 +91746,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ParametricPlaneCurve.help} ==================================================================== ParametricPlaneCurve examples ==================================================================== @@ -91247,7 +91755,7 @@ See Also: o )show ParametricPlaneCurve -@ +\end{chunk} \pagehead{ParametricPlaneCurve}{PARPCURV} \pagepic{ps/v103parametricplanecurve.ps}{PARPCURV}{1.00} @@ -91261,7 +91769,7 @@ \cross{PARPCURV}{curve} \end{tabular} -<>= +\begin{chunk}{domain PARPCURV ParametricPlaneCurve} )abbrev domain PARPCURV ParametricPlaneCurve ++ Author: Clifton J. Williamson ++ Date Created: 24 May 1990 @@ -91299,17 +91807,17 @@ n = 2 => c.yCoord error "coordinate: index out of bounds" -@ -<>= +\end{chunk} +\begin{chunk}{PARPCURV.dotabb} "PARPCURV" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PARPCURV"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "PARPCURV" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PARSCURV ParametricSpaceCurve} -<>= +\begin{chunk}{ParametricSpaceCurve.input} )set break resume )sys rm -f ParametricSpaceCurve.output )spool ParametricSpaceCurve.output @@ -91332,8 +91840,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ParametricSpaceCurve.help} ==================================================================== ParametricSpaceCurve examples ==================================================================== @@ -91341,7 +91849,7 @@ See Also: o )show ParametricSpaceCurve -@ +\end{chunk} \pagehead{ParametricSpaceCurve}{PARSCURV} \pagepic{ps/v103parametricspacecurve.ps}{PARSCURV}{1.00} @@ -91355,7 +91863,7 @@ \cross{PARSCURV}{curve} \end{tabular} -<>= +\begin{chunk}{domain PARSCURV ParametricSpaceCurve} )abbrev domain PARSCURV ParametricSpaceCurve ++ Author: Clifton J. Williamson ++ Date Created: 24 May 1990 @@ -91396,17 +91904,17 @@ n = 3 => c.zCoord error "coordinate: index out of bounds" -@ -<>= +\end{chunk} +\begin{chunk}{PARSCURV.dotabb} "PARSCURV" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PARSCURV"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "PARSCURV" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PARSURF ParametricSurface} -<>= +\begin{chunk}{ParametricSurface.input} )set break resume )sys rm -f ParametricSurface.output )spool ParametricSurface.output @@ -91429,8 +91937,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ParametricSurface.help} ==================================================================== ParametricSurface examples ==================================================================== @@ -91438,7 +91946,7 @@ See Also: o )show ParametricSurface -@ +\end{chunk} \pagehead{ParametricSurface}{PARSURF} \pagepic{ps/v103parametricsurface.ps}{PARSURF}{1.00} @@ -91452,7 +91960,7 @@ \cross{PARSURF}{surface} \end{tabular} -<>= +\begin{chunk}{domain PARSURF ParametricSurface} )abbrev domain PARSURF ParametricSurface ++ Author: Clifton J. Williamson ++ Date Created: 24 May 1990 @@ -91493,17 +92001,17 @@ n = 3 => c.zCoord error "coordinate: index out of bounds" -@ -<>= +\end{chunk} +\begin{chunk}{PARSURF.dotabb} "PARSURF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PARSURF"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "PARSURF" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PFR PartialFraction} -<>= +\begin{chunk}{PartialFraction.input} )set break resume )sys rm -f PartialFraction.output )spool PartialFraction.output @@ -91739,8 +92247,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PartialFraction.help} ==================================================================== PartialFraction examples ==================================================================== @@ -91887,7 +92395,7 @@ o )help FullPartialFractionExpansionXmpPage o )show PartialFraction -@ +\end{chunk} \pagehead{PartialFraction}{PFR} \pagepic{ps/v103partialfraction.ps}{PFR}{1.00} @@ -91947,7 +92455,7 @@ \cross{PFR}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain PFR PartialFraction} )abbrev domain PFR PartialFraction ++ Author: Robert S. Sutor ++ Date Created: 1986 @@ -92306,8 +92814,8 @@ # l = 1 => first l reduce("+", reverse l) -@ -<>= +\end{chunk} +\begin{chunk}{PFR.dotabb} "PFR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PFR"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] @@ -92316,11 +92824,11 @@ "PFR" -> "FLAGG-" "PFR" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PRTITION Partition} -<>= +\begin{chunk}{Partition.input} )set break resume )sys rm -f Partition.output )spool Partition.output @@ -92355,8 +92863,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Partition.help} ==================================================================== Partition examples ==================================================================== @@ -92364,7 +92872,7 @@ See Also: o )show Partition -@ +\end{chunk} \pagehead{Partition}{PRTITION} \pagepic{ps/v103partition.ps}{PRTITION}{1.00} @@ -92397,7 +92905,7 @@ \cross{PRTITION}{?$>=$?} &&& \end{tabular} -<>= +\begin{chunk}{domain PRTITION Partition} )abbrev domain PRTITION Partition ++ Author: William H. Burge ++ Date Created: 29 October 1987 @@ -92525,19 +93033,19 @@ */[factorial(second a) * (first(a) ** (second(a) pretend NNI)) for a in powers(x pretend Rep)] -@ -<>= +\end{chunk} +\begin{chunk}{PRTITION.dotabb} "PRTITION" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PRTITION"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "PRTITION" -> "FLAGG-" "PRTITION" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PATTERN Pattern} -<>= +\begin{chunk}{Pattern.input} )set break resume )sys rm -f Pattern.output )spool Pattern.output @@ -92592,8 +93100,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Pattern.help} ==================================================================== Pattern examples ==================================================================== @@ -92601,7 +93109,7 @@ See Also: o )show Pattern -@ +\end{chunk} \pagehead{Pattern}{PATTERN} \pagepic{ps/v103pattern.ps}{PATTERN}{1.00} @@ -92655,7 +93163,7 @@ \cross{PATTERN}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain PATTERN Pattern} )abbrev domain PATTERN Pattern ++ Author: Manuel Bronstein ++ Date Created: 10 Nov 1988 @@ -93030,17 +93538,17 @@ rsy := mkrsy(sy, c?, o?, m?) mkPat(zero?(rsy.tag), [rsy], 0) -@ -<>= +\end{chunk} +\begin{chunk}{PATTERN.dotabb} "PATTERN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PATTERN"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "PATTERN" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PATLRES PatternMatchListResult} -<>= +\begin{chunk}{PatternMatchListResult.input} )set break resume )sys rm -f PatternMatchListResult.output )spool PatternMatchListResult.output @@ -93068,8 +93576,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PatternMatchListResult.help} ==================================================================== PatternMatchListResult examples ==================================================================== @@ -93077,7 +93585,7 @@ See Also: o )show PatternMatchListResult -@ +\end{chunk} \pagehead{PatternMatchListResult}{PATLRES} \pagepic{ps/v103patternmatchlistresult.ps}{PATLRES}{1.00} @@ -93099,7 +93607,7 @@ \cross{PATLRES}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain PATLRES PatternMatchListResult} )abbrev domain PATLRES PatternMatchListResult ++ Author: Manuel Bronstein ++ Date Created: 4 Dec 1989 @@ -93145,17 +93653,17 @@ failed? r => atoms(r)::OutputForm RecordPrint(r, Rep)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{PATLRES.dotabb} "PATLRES" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PATLRES"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PATLRES" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PATRES PatternMatchResult} -<>= +\begin{chunk}{PatternMatchResult.input} )set break resume )sys rm -f PatternMatchResult.output )spool PatternMatchResult.output @@ -93187,8 +93695,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PatternMatchResult.help} ==================================================================== PatternMatchResult examples ==================================================================== @@ -93196,7 +93704,7 @@ See Also: o )show PatternMatchResult -@ +\end{chunk} \pagehead{PatternMatchResult}{PATRES} \pagepic{ps/v103patternmatchresult.ps}{PATRES}{1.00} @@ -93223,7 +93731,7 @@ \cross{PATRES}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain PATRES PatternMatchResult} )abbrev domain PATRES PatternMatchResult ++ Author: Manuel Bronstein ++ Date Created: 28 Nov 1989 @@ -93324,17 +93832,17 @@ failed? l => "failed" search(retract(p)@Symbol, l::LR) -@ -<>= +\end{chunk} +\begin{chunk}{PATRES.dotabb} "PATRES" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PATRES"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "PATRES" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PENDTREE PendantTree} -<>= +\begin{chunk}{PendantTree.input} )set break resume )sys rm -f PendantTree.output )spool PendantTree.output @@ -93396,8 +93904,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PendantTree.help} ==================================================================== PendantTree examples ==================================================================== @@ -93405,7 +93913,7 @@ See Also: o )show PendantTree -@ +\end{chunk} A PendantTree(S)is either a leaf? and is an S or has a left and a right both PendantTree(S)'s @@ -93465,7 +93973,7 @@ \cross{PENDTREE}{?.value} && \end{tabular} -<>= +\begin{chunk}{domain PENDTREE PendantTree} )abbrev domain PENDTREE PendantTree ++ Author: Mark Botch ++ Description: @@ -93512,17 +94020,17 @@ leaf? b => value(b)$Rep :: OutputForm paren blankSeparate [left b::OutputForm,right b ::OutputForm] -@ -<>= +\end{chunk} +\begin{chunk}{PENDTREE.dotabb} "PENDTREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PENDTREE"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "PENDTREE" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PERM Permutation} -<>= +\begin{chunk}{Permutation.input} )set break resume )sys rm -f Permutation.output )spool Permutation.output @@ -93594,8 +94102,8 @@ --E 8 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Permutation.help} ==================================================================== Permutation Examples ==================================================================== @@ -93639,7 +94147,7 @@ See Also: o )show Permutation -@ +\end{chunk} \pagehead{Permutation}{PERM} \pagepic{ps/v103permutation.ps}{PERM}{1.00} @@ -93688,7 +94196,7 @@ \cross{PERM}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain PERM Permutation} )abbrev domain PERM Permutation ++ Authors: Johannes Grabmeier, Holger Gollan, Martin Rubey ++ Date Created: 19 May 1989 @@ -94083,17 +94591,17 @@ pt := partition([#c for c in coerceToCycle(p, false)])$Partition pt +$PT conjugate(partition([#fixedPoints(p)])$PT)$PT -@ -<>= +\end{chunk} +\begin{chunk}{PERM.dotabb} "PERM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PERM"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "PERM" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PERMGRP PermutationGroup} -<>= +\begin{chunk}{PermutationGroup.input} )set break resume )sys rm -f PermutationGroup.output )spool PermutationGroup.output @@ -94134,8 +94642,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PermutationGroup.help} ==================================================================== PermutationGroup examples ==================================================================== @@ -94143,7 +94651,7 @@ See Also: o )show PermutationGroup -@ +\end{chunk} \pagehead{PermutationGroup}{PERMGRP} \pagepic{ps/v103permutationgroup.ps}{PERMGRP}{1.00} @@ -94176,7 +94684,7 @@ \cross{PERMGRP}{?=?} \end{tabular} -<>= +\begin{chunk}{domain PERMGRP PermutationGroup} )abbrev domain PERMGRP PermutationGroup ++ Authors: G. Schneider, H. Gollan, J. Grabmeier ++ Date Created: 13 February 1987 @@ -94933,17 +95441,17 @@ initializeGroupForWordProblem ( gp ) == initializeGroupForWordProblem ( gp , 0 , 1 ) -@ -<>= +\end{chunk} +\begin{chunk}{PERMGRP.dotabb} "PERMGRP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PERMGRP"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "PERMGRP" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain HACKPI Pi} -<>= +\begin{chunk}{Pi.input} )set break resume )sys rm -f Pi.output )spool Pi.output @@ -95007,8 +95515,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Pi.help} ==================================================================== Pi examples ==================================================================== @@ -95016,7 +95524,7 @@ See Also: o )show Pi -@ +\end{chunk} \pagehead{Pi}{HACKPI} \pagepic{ps/v103pi.ps}{HACKPI}{1.00} @@ -95075,7 +95583,7 @@ \cross{HACKPI}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain HACKPI Pi} )abbrev domain HACKPI Pi ++ Author: Manuel Bronstein ++ Date Created: 21 Feb 1990 @@ -95140,17 +95648,17 @@ $SparseUnivariatePolynomialFunctions2(Integer, Float) (pi()$Float) -@ -<>= +\end{chunk} +\begin{chunk}{HACKPI.dotabb} "HACKPI" [color="#88FF44",href="bookvol10.3.pdf#nameddest=HACKPI"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "HACKPI" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ACPLOT PlaneAlgebraicCurvePlot} -<>= +\begin{chunk}{PlaneAlgebraicCurvePlot.input} )set break resume )sys rm -f PlaneAlgebraicCurvePlot.output )spool PlaneAlgebraicCurvePlot.output @@ -95713,8 +96221,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PlaneAlgebraicCurvePlot.help} ==================================================================== PlaneAlgebraicCurvePlot examples ==================================================================== @@ -95764,7 +96272,7 @@ [- 0.48799999999999999,0.48799999999999999], [- 0.49199999999999999,0.49199999999999999], [- 0.496,0.496], -@ +\end{chunk} \pagehead{PlaneAlgebraicCurvePlot}{ACPLOT} \pagepic{ps/v103planealgebraiccurveplot.ps}{ACPLOT}{1.00} @@ -95778,7 +96286,7 @@ \cross{ACPLOT}{yRange} \end{tabular} -<>= +\begin{chunk}{domain ACPLOT PlaneAlgebraicCurvePlot} )abbrev domain ACPLOT PlaneAlgebraicCurvePlot ++ Author: Clifton J. Williamson and Timothy Daly ++ Date Created: Fall 1988 @@ -96996,17 +97504,17 @@ ff := vconcat(hconcat l,vconcat f) vconcat(message "ACPLOT",ff) -@ -<>= +\end{chunk} +\begin{chunk}{ACPLOT.dotabb} "ACPLOT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ACPLOT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ACPLOT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PLACES Places} -<>= +\begin{chunk}{Places.input} )set break resume )sys rm -f Places.output )spool Places.output @@ -97044,8 +97552,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Places.help} ==================================================================== Places examples ==================================================================== @@ -97053,7 +97561,7 @@ See Also: o )show Places -@ +\end{chunk} \pagehead{Places}{PLACES} \pagepic{ps/v103places.eps}{PLACES}{1.00} @@ -97081,7 +97589,7 @@ \cross{PLACES}{setParam!} \end{tabular} -<>= +\begin{chunk}{domain PLACES Places} )abbrev domain PLACES Places ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -97096,19 +97604,19 @@ Implementation ==> Plcs(K,PCS) -@ -<>= +\end{chunk} +\begin{chunk}{PLACES.dotabb} "PLACES" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLACES"]; "NSDPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=NSDPS"]; "PLCS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLCS"] "PLACES" -> "NSDPS" "PLACES" -> "PLCS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PLACESPS PlacesOverPseudoAlgebraicClosureOfFiniteField} -<>= +\begin{chunk}{PlacesOverPseudoAlgebraicClosureOfFiniteField.input} )set break resume )sys rm -f PlacesOverPseudoAlgebraicClosureOfFiniteField.output )spool PlacesOverPseudoAlgebraicClosureOfFiniteField.output @@ -97147,8 +97655,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PlacesOverPseudoAlgebraicClosureOfFiniteField.help} ==================================================================== PlacesOverPseudoAlgebraicClosureOfFiniteField examples ==================================================================== @@ -97156,7 +97664,7 @@ See Also: o )show PlacesOverPseudoAlgebraicClosureOfFiniteField -@ +\end{chunk} \pagehead{PlacesOverPseudoAlgebraicClosureOfFiniteField}{PLACESPS} \pagepic{ps/v103placesoverpseudoalgebraicclosureoffinitefield.eps}% {PLACESPS}{1.00} @@ -97185,7 +97693,7 @@ \cross{PLACESPS}{setParam!} \end{tabular} -<>= +\begin{chunk}{domain PLACESPS PlacesOverPseudoAlgebraicClosureOfFiniteField} )abbrev domain PLACESPS PlacesOverPseudoAlgebraicClosureOfFiniteField ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -97202,17 +97710,17 @@ Exports ==> PlacesCategory(KK,PCS) Implementation ==> Plcs(KK,PCS) -@ -<>= +\end{chunk} +\begin{chunk}{PLACESPS.dotabb} "PLACESPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLACESPS"]; "PACOFF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PACOFF"] "PLACESPS" -> "PACOFF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PLCS Plcs} -<>= +\begin{chunk}{Plcs.input} )set break resume )sys rm -f Plcs.output )spool Plcs.output @@ -97249,8 +97757,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Plcs.help} ==================================================================== Plcs examples ==================================================================== @@ -97258,7 +97766,7 @@ See Also: o )show Plcs -@ +\end{chunk} \pagehead{Plcs}{PLCS} \pagepic{ps/v103plcs.eps}{PLCS}{1.00} @@ -97266,7 +97774,7 @@ \begin{tabular}{lllll} \end{tabular} -<>= +\begin{chunk}{domain PLCS Plcs} )abbrev domain PLCS Plcs ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -97398,17 +97906,17 @@ degree(pl)==pl.deg -@ -<>= +\end{chunk} +\begin{chunk}{PLCS.dotabb} "PLCS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLCS"]; "LOCPOWC" [color=lightblue,href="bookvol10.2.pdf#nameddest=LOCPOWC"]; "PLCS" -> "LOCPOWC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PLOT Plot} -<>= +\begin{chunk}{Plot.input} )set break resume )sys rm -f Plot.output )spool Plot.output @@ -97480,8 +97988,8 @@ --E 2 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Plot.help} ========================================================================= Plot examples ========================================================================= @@ -97502,7 +98010,7 @@ See Also: o )show Plot -@ +\end{chunk} \pagehead{Plot}{PLOT} \pagepic{ps/v103plot.ps}{PLOT}{1.00} @@ -97531,7 +98039,7 @@ \cross{PLOT}{zoom} &&&& \end{tabular} -<>= +\begin{chunk}{domain PLOT Plot} )abbrev domain PLOT Plot ++ Author: Michael Monagan (revised by Clifton J. Williamson) ++ Date Created: Jan 1988 @@ -98099,17 +98607,17 @@ f := concat(vconcat concat(h,l),f) prefix("PLOT" :: OUT, reverse_! f) -@ -<>= +\end{chunk} +\begin{chunk}{PLOT.dotabb} "PLOT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLOT"] "FRAC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FRAC"] "PLOT" -> "FRAC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PLOT3D Plot3D} -<>= +\begin{chunk}{Plot3D.input} )set break resume )sys rm -f Plot3D.output )spool Plot3D.output @@ -98149,8 +98657,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Plot3D.help} ==================================================================== Plot3D examples ==================================================================== @@ -98158,7 +98666,7 @@ See Also: o )show Plot3D -@ +\end{chunk} \pagehead{Plot3D}{PLOT3D} \pagepic{ps/v103plot3d.ps}{PLOT3D}{1.00} @@ -98188,7 +98696,7 @@ \cross{PLOT3D}{zoom} &&&& \end{tabular} -<>= +\begin{chunk}{domain PLOT3D Plot3D} )abbrev domain PLOT3D Plot3D ++ Author: Clifton J. Williamson based on code by Michael Monagan ++ Date Created: Jan 1989 @@ -98676,17 +99184,17 @@ outList := concat(curve.points,outList) outList -@ -<>= +\end{chunk} +\begin{chunk}{PLOT3D.dotabb} "PLOT3D" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PLOT3D"] "TRANFUN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TRANFUN"] "PLOT3D" -> "TRANFUN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PBWLB PoincareBirkhoffWittLyndonBasis} -<>= +\begin{chunk}{PoincareBirkhoffWittLyndonBasis.input} )set break resume )sys rm -f PoincareBirkhoffWittLyndonBasis.output )spool PoincareBirkhoffWittLyndonBasis.output @@ -98720,8 +99228,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PoincareBirkhoffWittLyndonBasis.help} ==================================================================== PoincareBirkhoffWittLyndonBasis examples ==================================================================== @@ -98729,7 +99237,7 @@ See Also: o )show PoincareBirkhoffWittLyndonBasis -@ +\end{chunk} \pagehead{PoincareBirkhoffWittLyndonBasis}{PBWLB} \pagepic{ps/v103poincarebirkhoffwittlyndonbasis.ps}{PBWLB}{1.00} @@ -98758,7 +99266,7 @@ \cross{PBWLB}{?$>=$?} \end{tabular} -<>= +\begin{chunk}{domain PBWLB PoincareBirkhoffWittLyndonBasis} )abbrev domain PBWLB PoincareBirkhoffWittLyndonBasis ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -98867,17 +99375,17 @@ lx = ly => recursif(x,y) lx < ly -@ -<>= +\end{chunk} +\begin{chunk}{PBWLB.dotabb} "PBWLB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PBWLB"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PBWLB" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain POINT Point} -<>= +\begin{chunk}{Point.input} )set break resume )sys rm -f Point.output )spool Point.output @@ -98983,8 +99491,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Point.help} ==================================================================== Point examples ==================================================================== @@ -98992,7 +99500,7 @@ See Also: o )show Point -@ +\end{chunk} \pagehead{Point}{POINT} \pagepic{ps/v103point.ps}{POINT}{1.00} @@ -99083,7 +99591,7 @@ \cross{POINT}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain POINT Point} )abbrev domain POINT Point ++ Author: Mark Botch ++ Description: @@ -99112,17 +99620,17 @@ p0.1 * p1.2 - p1.1 * p0.2] extend(p,l) == concat(p,point l) -@ -<>= +\end{chunk} +\begin{chunk}{POINT.dotabb} "POINT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=POINT"] "PTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PTCAT"] "POINT" -> "PTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain POLY Polynomial} -<>= +\begin{chunk}{Polynomial.input} )set break resume )sys rm -f Polynomial.output )spool Polynomial.output @@ -99530,8 +100038,8 @@ --E 46 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Polynomial.help} ==================================================================== Polynomial examples ==================================================================== @@ -99913,7 +100421,7 @@ o )help NewDistributedMultivariatePolynomial o )show Polynomial -@ +\end{chunk} \pagehead{Polynomial}{POLY} \pagepic{ps/v103polynomial.ps}{POLY}{1.00} {\bf See}\\ @@ -100010,7 +100518,7 @@ \cross{POLY}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain POLY Polynomial} )abbrev domain POLY Polynomial ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -100049,17 +100557,17 @@ if R has Algebra Fraction Integer then integrate(p, x) == (integrate univariate(p, x)) (x::%) -@ -<>= +\end{chunk} +\begin{chunk}{POLY.dotabb} "POLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=POLY"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "POLY" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain IDEAL PolynomialIdeals} -<>= +\begin{chunk}{PolynomialIdeals.input} )set break resume )sys rm -f PolynomialIdeals.output )spool PolynomialIdeals.output @@ -100100,8 +100608,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PolynomialIdeals.help} ==================================================================== PolynomialIdeals examples ==================================================================== @@ -100109,7 +100617,7 @@ See Also: o )show PolynomialIdeals -@ +\end{chunk} \pagehead{PolynomialIdeals}{IDEAL} \pagepic{ps/v103polynomialideals.ps}{IDEAL}{1.00} @@ -100145,7 +100653,7 @@ \cross{IDEAL}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain IDEAL PolynomialIdeals} )abbrev domain IDEAL PolynomialIdeals ++ Author: P. Gianni ++ Date Created: summer 1986 @@ -100569,17 +101077,17 @@ zero?(I:Ideal) : Boolean == empty? (groebner I).idl -@ -<>= +\end{chunk} +\begin{chunk}{IDEAL.dotabb} "IDEAL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IDEAL"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "IDEAL" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PR PolynomialRing} -<>= +\begin{chunk}{PolynomialRing.input} )set break resume )sys rm -f PolynomialRing.output )spool PolynomialRing.output @@ -100646,8 +101154,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PolynomialRing.help} ==================================================================== PolynomialRing examples ==================================================================== @@ -100655,7 +101163,7 @@ See Also: o )show PolynomialRing -@ +\end{chunk} \pagehead{PolynomialRing}{PR} \pagepic{ps/v103polynomialring.ps}{PR}{1.00} @@ -100716,7 +101224,7 @@ \cross{PR}{?/?} && \end{tabular} -<>= +\begin{chunk}{domain PR PolynomialRing} )abbrev domain PR PolynomialRing ++ Author: Dave Barton, James Davenport, Barry Trager ++ Date Created: @@ -101021,17 +101529,17 @@ if R has Field then x/r == inv(r)*x -@ -<>= +\end{chunk} +\begin{chunk}{PR.dotabb} "PR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PR"] "FAMR" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAMR"] "PR" -> "FAMR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PI PositiveInteger} -<>= +\begin{chunk}{PositiveInteger.input} )set break resume )sys rm -f PositiveInteger.output )spool PositiveInteger.output @@ -101065,8 +101573,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PositiveInteger.help} ==================================================================== PositiveInteger examples ==================================================================== @@ -101074,7 +101582,7 @@ See Also: o )show PositiveInteger -@ +\end{chunk} \pagehead{PositiveInteger}{PI} \pagepic{ps/v103positiveinteger.ps}{PI}{1.00} @@ -101107,7 +101615,7 @@ \cross{PI}{?$>=$?} \end{tabular} -<>= +\begin{chunk}{domain PI PositiveInteger} )abbrev domain PI PositiveInteger ++ Author: Mark Botch ++ Date Created: @@ -101129,19 +101637,19 @@ x:% y:% -@ -<>= +\end{chunk} +\begin{chunk}{PI.dotabb} "PI" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PI",shape=ellipse] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "PI" -> "ORDSET" "PI" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PF PrimeField} -<>= +\begin{chunk}{PrimeField.input} )set break resume )sys rm -f PrimeField.output )spool PrimeField.output @@ -101244,8 +101752,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PrimeField.help} ==================================================================== PrimeField examples ==================================================================== @@ -101253,7 +101761,7 @@ See Also: o )show PrimeField -@ +\end{chunk} \pagehead{PrimeField}{PF} \pagepic{ps/v103primefield.ps}{PF}{1.00} @@ -101352,7 +101860,7 @@ \cross{PF}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain PF PrimeField} )abbrev domain PF PrimeField ++ Authors: N.N., ++ Date Created: November 1990, 26.03.1991 @@ -101377,17 +101885,17 @@ if not prime?(p)$IntegerPrimesPackage(Integer) then error "Argument to prime field must be a prime" -@ -<>= +\end{chunk} +\begin{chunk}{PF.dotabb} "PF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PF"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "PF" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PRIMARR PrimitiveArray} -<>= +\begin{chunk}{PrimitiveArray.input} )set break resume )sys rm -f PrimitiveArray.output )spool PrimitiveArray.output @@ -101480,8 +101988,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PrimitiveArray.help} ==================================================================== PrimitiveArray examples ==================================================================== @@ -101489,7 +101997,7 @@ See Also: o )show PrimitiveArray -@ +\end{chunk} \pagehead{PrimitiveArray}{PRIMARR} \pagepic{ps/v103primitivearray.ps}{PRIMARR}{1.00} @@ -101567,7 +102075,7 @@ \cross{PRIMARR}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain PRIMARR PrimitiveArray} )abbrev domain PRIMARR PrimitiveArray ++ Author: Mark Botch ++ Description: @@ -101581,7 +102089,7 @@ -- Qsetelt ==> QSETVELT$Lisp Qelt ==> ELT$Lisp Qsetelt ==> SETELT$Lisp - Qnew ==> GETREFV$Lisp + Qnew ==> MAKE_-ARRAY$Lisp #x == Qsize x minIndex x == 0 @@ -101593,18 +102101,18 @@ setelt(x:%, i:Integer, s:S) == Qsetelt(x, i, s) fill_!(x, s) == (for i in 0..Qmax x repeat Qsetelt(x, i, s); x) -@ -<>= +\end{chunk} +\begin{chunk}{PRIMARR.dotabb} "PRIMARR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PRIMARR", shape=ellipse] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "PRIMARR" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PRODUCT Product} -<>= +\begin{chunk}{Product.input} )set break resume )sys rm -f Product.output )spool Product.output @@ -101663,8 +102171,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Product.help} ==================================================================== Product examples ==================================================================== @@ -101692,7 +102200,7 @@ See Also: o )show Product -@ +\end{chunk} \pagehead{Product}{PRODUCT} \pagepic{ps/v103product.ps}{PRODUCT}{1.00} @@ -101736,7 +102244,7 @@ \cross{PRODUCT}{?\^{}?} &&& \end{tabular} -<>= +\begin{chunk}{domain PRODUCT Product} )abbrev domain PRODUCT Product ++ Author: Mark Botch ++ Description: @@ -101838,17 +102346,17 @@ -- PrintableForm() -- formList([x.acomp::Expression,x.bcomp::Expression])$PrintableForm -@ -<>= +\end{chunk} +\begin{chunk}{PRODUCT.dotabb} "PRODUCT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PRODUCT"] "OAMONS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMONS"] "PRODUCT" -> "OAMONS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PROJPL ProjectivePlane} -<>= +\begin{chunk}{ProjectivePlane.input} )set break resume )sys rm -f ProjectivePlane.output )spool ProjectivePlane.output @@ -101885,8 +102393,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ProjectivePlane.help} ==================================================================== ProjectivePlane examples ==================================================================== @@ -101894,7 +102402,7 @@ See Also: o )show ProjectivePlane -@ +\end{chunk} \pagehead{ProjectivePlane}{PROJPL} \pagepic{ps/v103projectiveplane.ps}{PROJPL}{1.00} @@ -101922,7 +102430,7 @@ \end{tabular} -<>= +\begin{chunk}{domain PROJPL ProjectivePlane} )abbrev domain PROJPL ProjectivePlane ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -101936,17 +102444,17 @@ Implementation ==> ProjectiveSpace(3,K) -@ -<>= +\end{chunk} +\begin{chunk}{PROJPL.dotabb} "PROJPL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PROJPL"]; "PROJSP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PROJSP"]; "PROJPL" -> "PROJSP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PROJPLPS ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField} -<>= +\begin{chunk}{ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField.input} )set break resume )sys rm -f ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField.output )spool ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField.output @@ -101987,8 +102495,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField.help} ==================================================================== ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField examples ==================================================================== @@ -101996,7 +102504,7 @@ See Also: o )show ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField -@ +\end{chunk} \pagehead{ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField}{PROJPLPS} \pagepic{ps/v103projectiveplaneoverpseudoalgebraicclosureoffinitefield.ps}{PROJPLPS}{1.00} @@ -102024,7 +102532,7 @@ \cross{PROJPLPS}{setelt} \end{tabular} -<>= +\begin{chunk}{domain PROJPLPS ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField} )abbrev domain PROJPLPS ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -102040,17 +102548,17 @@ Impl ==> ProjectivePlane(KK) -@ -<>= +\end{chunk} +\begin{chunk}{PROJPLPS.dotabb} "PROJPLPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PROJPLPS"]; "PACOFF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PACOFF"]; "PROJPLPS" -> "PACOFF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PROJSP ProjectiveSpace} -<>= +\begin{chunk}{ProjectiveSpace.input} )set break resume )sys rm -f ProjectiveSpace.output )spool ProjectiveSpace.output @@ -102087,8 +102595,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ProjectiveSpace.help} ==================================================================== ProjectiveSpace examples ==================================================================== @@ -102096,7 +102604,7 @@ See Also: o )show ProjectiveSpace -@ +\end{chunk} \pagehead{ProjectiveSpace}{PROJSP} \pagepic{ps/v103projectivespace.ps}{PROJSP}{1.00} @@ -102124,7 +102632,7 @@ \cross{PROJSP}{setelt} \\ \end{tabular} -<>= +\begin{chunk}{domain PROJSP ProjectiveSpace} )abbrev domain PROJSP ProjectiveSpace ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -102250,19 +102758,19 @@ lastNonNul(pt)==lastNonNull(pt) -@ -<>= +\end{chunk} +\begin{chunk}{PROJSP.dotabb} "PROJSP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PROJSP"]; "PACPERC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACPERC"]; "FPC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPC"]; "PROJSP" -> "PACPERC" "PROJSP" -> "FPC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PACEXT PseudoAlgebraicClosureOfAlgExtOfRationalNumber} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfAlgExtOfRationalNumber.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfAlgExtOfRationalNumber.output )spool PseudoAlgebraicClosureOfAlgExtOfRationalNumber.output @@ -102276,8 +102784,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfAlgExtOfRationalNumber.help} ==================================================================== PseudoAlgebraicClosureOfAlgExtOfRationalNumber examples ==================================================================== @@ -102285,13 +102793,13 @@ See Also: o )show PseudoAlgebraicClosureOfAlgExtOfRationalNumber -@ +\end{chunk} \pagehead{PseudoAlgebraicClosureOfAlgExtOfRationalNumber}{PACEXT} \pagepic{ps/v103pseudoalgebraicclosureofalgextofrationalnumber.eps}{PACEXT}{1.00} {\bf Exports:}\\ -<>= +\begin{chunk}{domain PACEXT PseudoAlgebraicClosureOfAlgExtOfRationalNumber} )abbrev domain PACEXT PseudoAlgebraicClosureOfAlgExtOfRationalNumber -- PseudoAlgebraicClosureOfAlgExtOfRationalNumber ++ Authors: Gaetan Hache @@ -102592,17 +103100,17 @@ characteristic == characteristic()$K -@ -<>= +\end{chunk} +\begin{chunk}{PACEXT.dotabb} "PACEXT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PACEXT"]; "FACTEXT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FACTEXT"] "PACEXT" -> "FACTEXT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PACOFF PseudoAlgebraicClosureOfFiniteField} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfFiniteField.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfFiniteField.output )spool PseudoAlgebraicClosureOfFiniteField.output @@ -102701,8 +103209,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfFiniteField.help} ==================================================================== PseudoAlgebraicClosureOfFiniteField examples ==================================================================== @@ -102710,7 +103218,7 @@ See Also: o )show PseudoAlgebraicClosureOfFiniteField -@ +\end{chunk} \pagehead{PseudoAlgebraicClosureOfFiniteField}{PACOFF} \pagepic{ps/v103pseudoalgebraicclosureoffinitefield.ps}{PACOFF}{1.00} @@ -102802,7 +103310,7 @@ \cross{PACOFF}{zero?} \end{tabular} -<>= +\begin{chunk}{domain PACOFF PseudoAlgebraicClosureOfFiniteField} )abbrev domain PACOFF PseudoAlgebraicClosureOfFiniteField ++ Authors: Gaetan Hache ++ Date Created: june 1996 @@ -103130,18 +103638,18 @@ gel:%:=ground(elel) down(gel) -@ +\end{chunk} -<>= +\begin{chunk}{PACOFF.dotabb} "PACOFF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PACOFF"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "PACOFF" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain PACRAT PseudoAlgebraicClosureOfRationalNumber} -<>= +\begin{chunk}{PseudoAlgebraicClosureOfRationalNumber.input} )set break resume )sys rm -f PseudoAlgebraicClosureOfRationalNumber.output )spool PseudoAlgebraicClosureOfRationalNumber.output @@ -103232,8 +103740,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PseudoAlgebraicClosureOfRationalNumber.help} ==================================================================== PseudoAlgebraicClosureOfRationalNumber examples ==================================================================== @@ -103241,7 +103749,7 @@ See Also: o )show PseudoAlgebraicClosureOfRationalNumber -@ +\end{chunk} \pagehead{PseudoAlgebraicClosureOfRationalNumber}{PACRAT} \pagepic{ps/v103pseudoalgebraicclosureofrationalnumber.ps}{PACRAT}{1.00} @@ -103319,7 +103827,7 @@ \cross{PACRAT}{zero?} &&& \end{tabular} -<>= +\begin{chunk}{domain PACRAT PseudoAlgebraicClosureOfRationalNumber} )abbrev domain PACRAT PseudoAlgebraicClosureOfRationalNumber ++ Authors: Gaetan Hache ++ Date Created: feb 1997 @@ -103603,20 +104111,20 @@ characteristic == characteristic()$K -@ +\end{chunk} -<>= +\begin{chunk}{PACRAT.dotabb} "PACRAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=PRODUCT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "PACRAT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter Q} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain QFORM QuadraticForm} -<>= +\begin{chunk}{QuadraticForm.input} )set break resume )sys rm -f QuadraticForm.output )spool QuadraticForm.output @@ -103648,8 +104156,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QuadraticForm.help} ==================================================================== QuadraticForm examples ==================================================================== @@ -103657,7 +104165,7 @@ See Also: o )show QuadraticForm -@ +\end{chunk} \pagehead{QuadraticForm}{QFORM} \pagepic{ps/v103quadraticform.ps}{QFORM}{1.00} @@ -103684,7 +104192,7 @@ \cross{QFORM}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain QFORM QuadraticForm} )abbrev domain QFORM QuadraticForm ++ Author: Stephen M. Watt ++ Date Created: August 1988 @@ -103726,17 +104234,17 @@ matrix q == q pretend SM(n,K) elt(q,v) == dot(v, (matrix q * v)) -@ -<>= +\end{chunk} +\begin{chunk}{QFORM.dotabb} "QFORM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=QFORM"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "QFORM" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain QALGSET QuasiAlgebraicSet} -<>= +\begin{chunk}{QuasiAlgebraicSet.input} )set break resume )sys rm -f QuasiAlgebraicSet.output )spool QuasiAlgebraicSet.output @@ -103767,8 +104275,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QuasiAlgebraicSet.help} ==================================================================== QuasiAlgebraicSet examples ==================================================================== @@ -103776,7 +104284,7 @@ See Also: o )show QuasiAlgebraicSet -@ +\end{chunk} \pagehead{QuasiAlgebraicSet}{QALGSET} \pagepic{ps/v103quasialgebraicset.ps}{QALGSET}{1.00} @@ -103799,7 +104307,7 @@ \cross{QALGSET}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain QALGSET QuasiAlgebraicSet} )abbrev domain QALGSET QuasiAlgebraicSet ++ Author: William Sit ++ Date Created: March 13, 1992 @@ -103984,17 +104492,17 @@ empty? qlist => false or/[(brace$(Set Dpoly) q) <$(Set Dpoly) (brace$(Set Dpoly) p) for q in qlist] -@ -<>= +\end{chunk} +\begin{chunk}{QALGSET.dotabb} "QALGSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=QALGSET"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "QALGSET" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain QUAT Quaternion} -<>= +\begin{chunk}{Quaternion.input} )set break resume )sys rm -f Quaternion.output )spool Quaternion.output @@ -104126,8 +104634,8 @@ --E 13 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Quaternion.help} ==================================================================== Quaternion examples ==================================================================== @@ -104232,7 +104740,7 @@ o )help CliffordAlgebra o )show Quaternion -@ +\end{chunk} \pagehead{Quaternion}{QUAT} \pagepic{ps/v103quaternion.ps}{QUAT}{1.00} @@ -104287,7 +104795,7 @@ \cross{QUAT}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain QUAT Quaternion} )abbrev domain QUAT Quaternion ++ Author: Robert S. Sutor ++ Date Created: 23 May 1990 @@ -104327,17 +104835,17 @@ x.r*y.j+x.j*y.r+x.k*y.i-x.i*y.k, x.r*y.k+x.k*y.r+x.i*y.j-x.j*y.i] -@ -<>= +\end{chunk} +\begin{chunk}{QUAT.dotabb} "QUAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=QUAT"] "QUATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=QUATCAT"] "QUAT" -> "QUATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain QEQUAT QueryEquation} -<>= +\begin{chunk}{QueryEquation.input} )set break resume )sys rm -f QueryEquation.output )spool QueryEquation.output @@ -104360,8 +104868,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QueryEquation.help} ==================================================================== QueryEquation examples ==================================================================== @@ -104369,7 +104877,7 @@ See Also: o )show QueryEquation -@ +\end{chunk} \pagehead{QueryEquation}{QEQUAT} \pagepic{ps/v103queryequation.ps}{QEQUAT}{1.00} @@ -104386,7 +104894,7 @@ \cross{QEQUAT}{variable} \end{tabular} -<>= +\begin{chunk}{domain QEQUAT QueryEquation} )abbrev domain QEQUAT QueryEquation ++ Author: Mark Botch ++ Description: @@ -104407,17 +104915,17 @@ variable q == q.var value q == q.val -@ -<>= +\end{chunk} +\begin{chunk}{QEQUAT.dotabb} "QEQUAT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=QEQUAT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "QEQUAT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain QUEUE Queue} -<>= +\begin{chunk}{Queue.input} )set break resume )sys rm -f Queue.output )spool Queue.output @@ -104831,8 +105339,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Queue.help} ==================================================================== Queue examples ==================================================================== @@ -105071,7 +105579,7 @@ o )show Heap o )show BagAggregate -@ +\end{chunk} \pagehead{Queue}{QUEUE} \pagepic{ps/v103queue.ps}{QUEUE}{1.00} {\bf See}\\ @@ -105118,7 +105626,7 @@ \cross{QUEUE}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain QUEUE Queue} )abbrev domain QUEUE Queue ++ Author: Michael Monagan and Stephen Watt ++ Date Created:June 86 and July 87 @@ -105307,21 +105815,21 @@ back q == if empty? q then error "empty queue" else last deref q queue q == ref copy q -@ -<>= +\end{chunk} +\begin{chunk}{QUEUE.dotabb} "QUEUE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=QUEUE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "QUEUE" -> "FLAGG" "QUEUE" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RADFF RadicalFunctionField} -<>= +\begin{chunk}{RadicalFunctionField.input} )set break resume )sys rm -f RadicalFunctionField.output )spool RadicalFunctionField.output @@ -105490,8 +105998,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RadicalFunctionField.help} ==================================================================== RadicalFunctionField examples ==================================================================== @@ -105499,7 +106007,7 @@ See Also: o )show RadicalFunctionField -@ +\end{chunk} \pagehead{RadicalFunctionField}{RADFF} \pagepic{ps/v103radicalfunctionfield.ps}{RADFF}{1.00} @@ -105624,7 +106132,7 @@ \cross{RADFF}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain RADFF RadicalFunctionField} )abbrev domain RADFF RadicalFunctionField ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -105824,17 +106332,17 @@ zero?(radcand() point) and not zero?(((radcand() exquo (monomial(1,1)$UP-point::UP))::UP) point) -@ -<>= +\end{chunk} +\begin{chunk}{RADFF.dotabb} "RADFF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RADFF"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "RADFF" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RADIX RadixExpansion} -<>= +\begin{chunk}{RadixExpansion.input} )set break resume )sys rm -f RadixExpansion.output )spool RadixExpansion.output @@ -105990,8 +106498,8 @@ --E 17 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RadixExpansion.help} ==================================================================== RadixExpansion examples ==================================================================== @@ -106113,7 +106621,7 @@ o )help HexadecimalExpansion o )show RadixExpansion -@ +\end{chunk} \pagehead{RadixExpansion}{RADIX} \pagepic{ps/v103radixexpansion.ps}{RADIX}{1.00} {\bf See}\\ @@ -106210,7 +106718,7 @@ \cross{RADIX}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain RADIX RadixExpansion} )abbrev domain RADIX RadixExpansion ++ Author: Stephen M. Watt ++ Date Created: October 1986 @@ -106453,15 +106961,15 @@ rits := rest rits [reverse_! ritspfx, reverse_! ritscyc] -@ -<>= +\end{chunk} +\begin{chunk}{RADIX.dotabb} "RADIX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RADIX"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "RADIX" -> "PFECAT" "RADIX" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RECLOS RealClosure} The domain constructore {\bf RealClosure} by Renaud Rioboo (University @@ -106505,7 +107013,7 @@ computations are done excatly. They can thus be quite time consuming when depending on several "real roots". -<>= +\begin{chunk}{RealClosure.input} )set break resume )sys rm -f RealClosure.output )spool RealClosure.output @@ -107172,8 +107680,8 @@ --E 67 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RealClosure.help} ==================================================================== RealClosure examples ==================================================================== @@ -107690,7 +108198,7 @@ o )help RealPolynomialUtilitiesPackage o )show RealClosure -@ +\end{chunk} \pagehead{RealClosure}{RECLOS} \pagepic{ps/v103realclosure.ps}{RECLOS}{1.00} {\bf See}\\ @@ -107767,7 +108275,7 @@ \cross{RECLOS}{?rem?} & \end{tabular} -<>= +\begin{chunk}{domain RECLOS RealClosure} )abbrev domain RECLOS RealClosure ++ Author: Renaud Rioboo ++ Date Created: summer 1988 @@ -108070,17 +108578,17 @@ coerce(rn:TheField):$ == rn :: $ -@ -<>= +\end{chunk} +\begin{chunk}{RECLOS.dotabb} "RECLOS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RECLOS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "RECLOS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RMATRIX RectangularMatrix} -<>= +\begin{chunk}{RectangularMatrix.input} )set break resume )sys rm -f RectangularMatrix.output )spool RectangularMatrix.output @@ -108148,8 +108656,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RectangularMatrix.help} ==================================================================== RectangularMatrix examples ==================================================================== @@ -108157,7 +108665,7 @@ See Also: o )show RectangularMatrix -@ +\end{chunk} \pagehead{RectangularMatrix}{RMATRIX} \pagepic{ps/v103rectangularmatrix.ps}{RMATRIX}{1.00} @@ -108225,7 +108733,7 @@ \cross{RMATRIX}{?=?} \end{tabular} -<>= +\begin{chunk}{domain RMATRIX RectangularMatrix} )abbrev domain RMATRIX RectangularMatrix ++ Author: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -108314,17 +108822,17 @@ convert [convert("rectangularMatrix"::Symbol)@InputForm, convert(x::Matrix(R))]$List(InputForm) -@ -<>= +\end{chunk} +\begin{chunk}{RMATRIX.dotabb} "RMATRIX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RMATRIX"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "RMATRIX" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain REF Reference} -<>= +\begin{chunk}{Reference.input} )set break resume )sys rm -f Reference.output )spool Reference.output @@ -108352,8 +108860,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Reference.help} ==================================================================== Reference examples ==================================================================== @@ -108361,7 +108869,7 @@ See Also: o )show Reference -@ +\end{chunk} \pagehead{Reference}{REF} \pagepic{ps/v103reference.ps}{REF}{1.00} @@ -108384,7 +108892,7 @@ \cross{REF}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain REF Reference} )abbrev domain REF Reference ++ Author: Stephen M. Watt ++ Date Created: @@ -108426,8 +108934,8 @@ coerce p == prefix(message("ref"@String), [p.value::OutputForm]) -@ -<>= +\end{chunk} +\begin{chunk}{REF.dotabb} "REF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=REF",shape=ellipse] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] @@ -108436,11 +108944,11 @@ "REF" -> "BASTYPE" "REF" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RGCHAIN RegularChain} -<>= +\begin{chunk}{RegularChain.input} )set break resume )sys rm -f RegularChain.output )spool RegularChain.output @@ -108572,8 +109080,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RegularChain.help} ==================================================================== RegularChain examples ==================================================================== @@ -108581,7 +109089,7 @@ See Also: o )show RegularChain -@ +\end{chunk} \pagehead{RegularChain}{RGCHAIN} \pagepic{ps/v103regularchain.ps}{RGCHAIN}{1.00} @@ -108681,7 +109189,7 @@ \cross{RGCHAIN}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain RGCHAIN RegularChain} )abbrev domain RGCHAIN RegularChain ++ Author: Marc Moreno Maza ++ Date Created: 01/1999 @@ -108714,13 +109222,13 @@ Implementation == RegularTriangularSet(R,E,V,P) -@ -<>= +\end{chunk} +\begin{chunk}{RGCHAIN.dotabb} "RGCHAIN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RGCHAIN"] "RSETCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RSETCAT"] "RGCHAIN" -> "RSETCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain REGSET RegularTriangularSet} Several domain constructors implement regular triangular sets (or regular @@ -108730,7 +109238,7 @@ systems. This method is refined in the package {\bf LazardSetSolvingPackage} in order to produce decompositions by means of Lazard triangular sets. -<>= +\begin{chunk}{RegularTriangularSet.input} )set break resume )sys rm -f RegularTriangularSet.output )spool RegularTriangularSet.output @@ -109270,8 +109778,8 @@ --E 34 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RegularTriangularSet.help} ==================================================================== RegularTriangularSet examples ==================================================================== @@ -110099,7 +110607,7 @@ o )help SquareFreeRegularTriangularSet o )show RegularTriangularSet -@ +\end{chunk} \pagehead{RegularTriangularSet}{REGSET} \pagepic{ps/v103regulartriangularset.ps}{REGSET}{1.00} @@ -110200,7 +110708,7 @@ \cross{REGSET}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain REGSET RegularTriangularSet} )abbrev domain REGSET RegularTriangularSet ++ Author: Marc Moreno Maza ++ Date Created: 08/25/1998 @@ -110585,17 +111093,17 @@ lp2 := [] return [lp2,lts] -@ -<>= +\end{chunk} +\begin{chunk}{REGSET.dotabb} "REGSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=REGSET"] "RSETCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RSETCAT"] "REGSET" -> "RSETCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RESRING ResidueRing} -<>= +\begin{chunk}{ResidueRing.input} )set break resume )sys rm -f ResidueRing.output )spool ResidueRing.output @@ -110634,8 +111142,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ResidueRing.help} ==================================================================== ResidueRing examples ==================================================================== @@ -110643,7 +111151,7 @@ See Also: o )show ResidueRing -@ +\end{chunk} \pagehead{ResidueRing}{RESRING} \pagepic{ps/v103residuering.ps}{RESRING}{1.00} @@ -110673,7 +111181,7 @@ \cross{RESRING}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain RESRING ResidueRing} )abbrev domain RESRING ResidueRing ++ Author: P.Gianni ++ Date Created: December 1992 @@ -110727,17 +111235,17 @@ characteristic() == characteristic()$F coerce(x) : OutputForm == coerce(x)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{RESRING.dotabb} "RESRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RESRING"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RESRING" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RESULT Result} -<>= +\begin{chunk}{Result.input} )set break resume )sys rm -f Result.output )spool Result.output @@ -110832,8 +111340,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Result.help} ==================================================================== Result examples ==================================================================== @@ -110841,7 +111349,7 @@ See Also: o )show Result -@ +\end{chunk} \pagehead{Result}{RESULT} \pagepic{ps/v103result.ps}{RESULT}{1.00} @@ -110915,7 +111423,7 @@ \cross{RESULT}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain RESULT Result} )abbrev domain RESULT Result ++ Author: Didier Pinchon and Mike Dewar ++ Date Created: 8 April 1994 @@ -110984,17 +111492,17 @@ showArrayValues(b:Boolean):Boolean == showArrayValuesFlag := b showScalarValues(b:Boolean):Boolean == showScalarValuesFlag := b -@ -<>= +\end{chunk} +\begin{chunk}{RESULT.dotabb} "RESULT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RESULT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "RESULT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RULE RewriteRule} -<>= +\begin{chunk}{RewriteRule.input} )set break resume )sys rm -f RewriteRule.output )spool RewriteRule.output @@ -111002,7 +111510,7 @@ )set message auto off )clear all ---S 1 of 1 +--S 1 of 4 )show RewriteRule --R RewriteRule(Base: SetCategory,R: Join(Ring,PatternMatchable Base,OrderedSet,ConvertibleTo Pattern Base),F: Join(FunctionSpace R,PatternMatchable Base,ConvertibleTo Pattern Base)) is a domain constructor --R Abbreviation for RewriteRule is RULE @@ -111023,18 +111531,60 @@ --R --E 1 +--S 2 of 4 +logrule := rule log(x) + log(y) == log(x*y) +--R +--R (1) log(y) + log(x) + %B == log(x y) + %B +--R Type: RewriteRule(Integer,Integer,Expression Integer) +--E 2 + +--S 3 of 4 +f := log(sin(x)) + log(x) +--R +--R (2) log(sin(x)) + log(x) +--R Type: Expression Integer +--E 3 + +--S 4 of 4 +logrule f +--R +--R (3) log(x sin(x)) +--R Type: Expression Integer +--E 4 + )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RewriteRule.help} ==================================================================== RewriteRule examples ==================================================================== +For example: + +logrule := rule log(x) + log(y) == log(x*y) + log(y) + log(x) + %C == log(x y) + %C + +f := log(sin(x)) + log(x) + log(sin(x)) + log(x) + +logrule f + log(x sin(x)) + + +Note that you cannot write the simple form of a rule as: + +rule1 := rule a*x+b == b*x+a + +as this causes an infinite loop. The pattern is properly matched +but the result also properly matches and the pattern is applied +again. + See Also: +o )show ApplyRules o )show RewriteRule -@ +\end{chunk} \pagehead{RewriteRule}{RULE} \pagepic{ps/v103rewriterule.ps}{RULE}{1.00} @@ -111060,7 +111610,7 @@ \cross{RULE}{?=?} \end{tabular} -<>= +\begin{chunk}{domain RULE RewriteRule} )abbrev domain RULE RewriteRule ++ Author: Manuel Bronstein ++ Date Created: 24 Oct 1988 @@ -111083,6 +111633,10 @@ rule : (F, F) -> $ ++ rule(f, g) creates the rewrite rule: \spad{f == eval(g, g is f)}, ++ with left-hand side f and right-hand side g. + ++ + ++X logrule := rule log(x) + log(y) == log(x*y) + ++X f := log(sin(x)) + log(x) + ++X logrule f rule : (F, F, List Symbol) -> $ ++ rule(f, g, [f1,...,fn]) creates the rewrite rule ++ \spad{f == eval(eval(g, g is f), [f1,...,fn])}, @@ -111193,13 +111747,13 @@ infix(" == "::Symbol::OutputForm, lhs(x)::OutputForm, rhs(x)::OutputForm) -@ -<>= +\end{chunk} +\begin{chunk}{RULE.dotabb} "RULE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RULE"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "RULE" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ROIRC RightOpenIntervalRootCharacterization} The domain RightOpenIntervalRootCharacterization is the main code that @@ -111236,7 +111790,7 @@ computations are done exactly. They can thus be quite time consuming when depending on several "real roots". -<>= +\begin{chunk}{RightOpenIntervalRootCharacterization.input} )set break resume )sys rm -f RightOpenIntervalRootCharacterization.output )spool RightOpenIntervalRootCharacterization.output @@ -111272,8 +111826,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RightOpenIntervalRootCharacterization.help} ==================================================================== RightOpenIntervalRootCharacterization examples ==================================================================== @@ -111281,7 +111835,7 @@ See Also: o )show RightOpenIntervalRootCharacterization -@ +\end{chunk} \pagehead{RightOpenIntervalRootCharacterization}{ROIRC} \pagepic{ps/v103rightopenintervalrootcharacterization.ps}{ROIRC}{1.00} @@ -111313,7 +111867,7 @@ \cross{ROIRC}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain ROIRC RightOpenIntervalRootCharacterization} )abbrev domain ROIRC RightOpenIntervalRootCharacterization ++ Author: Renaud Rioboo ++ Date Created: summer 1992 @@ -111775,17 +112329,17 @@ -- if (sg ^= lsg) then res := res + 1 -- lsg := sg -- res -@ -<>= +\end{chunk} +\begin{chunk}{ROIRC.dotabb} "ROIRC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ROIRC"] "RRCC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RRCC"] "ROIRC" -> "RRCC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ROMAN RomanNumeral} -<>= +\begin{chunk}{RomanNumeral.input} )set break resume )sys rm -f RomanNumeral.output )spool RomanNumeral.output @@ -111934,8 +112488,8 @@ --E 15 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RomanNumeral.help} ==================================================================== RomanNumeral Examples ==================================================================== @@ -112066,7 +112620,7 @@ o )help IntegerNumberTheoryFunctions o )show RomanNumeral -@ +\end{chunk} \pagehead{RomanNumeral}{ROMAN} \pagepic{ps/v103romannumeral.ps}{ROMAN}{1.00} {\bf See}\\ @@ -112163,7 +112717,7 @@ \cross{ROMAN}{?rem?} &&& \end{tabular} -<>= +\begin{chunk}{domain ROMAN RomanNumeral} )abbrev domain ROMAN RomanNumeral ++ Author: Mark Botch ++ Date Created: @@ -112202,17 +112756,17 @@ negative? n => - ((-r)::OutputForm) FormatRoman(n::PositiveInteger)::Symbol::OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{ROMAN.dotabb} "ROMAN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ROMAN"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ROMAN" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ROUTINE RoutinesTable} -<>= +\begin{chunk}{RoutinesTable.input} )set break resume )sys rm -f RoutinesTable.output )spool RoutinesTable.output @@ -112317,8 +112871,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RoutinesTable.help} ==================================================================== RoutinesTable examples ==================================================================== @@ -112326,7 +112880,7 @@ See Also: o )show RoutinesTable -@ +\end{chunk} \pagehead{RoutinesTable}{ROUTINE} \pagepic{ps/v103routinestable.ps}{ROUTINE}{1.00} @@ -112407,7 +112961,7 @@ \cross{ROUTINE}{?.?} \end{tabular} -<>= +\begin{chunk}{domain ROUTINE RoutinesTable} )abbrev domain ROUTINE RoutinesTable ++ Author: Brian Dupee ++ Date Created: August 1994 @@ -112786,17 +113340,17 @@ e.explList empty()$LST -@ -<>= +\end{chunk} +\begin{chunk}{ROUTINE.dotabb} "ROUTINE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ROUTINE"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ROUTINE" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RULECOLD RuleCalled} -<>= +\begin{chunk}{RuleCalled.input} )set break resume )sys rm -f RuleCalled.output )spool RuleCalled.output @@ -112820,8 +113374,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RuleCalled.help} ==================================================================== RuleCalled examples ==================================================================== @@ -112829,7 +113383,7 @@ See Also: o )show RuleCalled -@ +\end{chunk} \pagehead{RuleCalled}{RULECOLD} \pagepic{ps/v103rulecalled.ps}{RULECOLD}{1.00} @@ -112844,7 +113398,7 @@ \cross{RULECOLD}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain RULECOLD RuleCalled} )abbrev domain RULECOLD RuleCalled ++ Author: Mark Botch ++ Description: @@ -112859,17 +113413,17 @@ x = y == true latex(x:%):String == latex f -@ -<>= +\end{chunk} +\begin{chunk}{RULECOLD.dotabb} "RULECOLD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RULECOLD"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "RULECOLD" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain RULESET Ruleset} -<>= +\begin{chunk}{Ruleset.input} )set break resume )sys rm -f Ruleset.output )spool Ruleset.output @@ -112896,8 +113450,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Ruleset.help} ==================================================================== Ruleset examples ==================================================================== @@ -112905,7 +113459,7 @@ See Also: o )show Ruleset -@ +\end{chunk} \pagehead{Ruleset}{RULESET} \pagepic{ps/v103ruleset.ps}{RULESET}{1.00} @@ -112925,7 +113479,7 @@ \cross{RULESET}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain RULESET Ruleset} )abbrev domain RULESET Ruleset ++ Author: Manuel Bronstein ++ Date Created: 20 Mar 1990 @@ -112964,19 +113518,19 @@ elt(r:$, s:F, n:PositiveInteger) == applyRules(rules r, s, n) rules x == parts(x)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{RULESET.dotabb} "RULESET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=RULESET"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "RULESET" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter S} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain FORMULA ScriptFormulaFormat} -<>= +\begin{chunk}{ScriptFormulaFormat.input} )set break resume )sys rm -f ScriptFormulaFormat.output )spool ScriptFormulaFormat.output @@ -113007,8 +113561,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ScriptFormulaFormat.help} ==================================================================== ScriptFormulaFormat examples ==================================================================== @@ -113016,7 +113570,7 @@ See Also: o )show ScriptFormulaFormat -@ +\end{chunk} \pagehead{ScriptFormulaFormat}{FORMULA} \pagepic{ps/v103scriptformulaformat.ps}{FORMULA}{1.00} @@ -113039,7 +113593,7 @@ \cross{FORMULA}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain FORMULA ScriptFormulaFormat} )abbrev domain FORMULA ScriptFormulaFormat ++ Author: Robert S. Sutor ++ Date Created: 1987 through 1990 @@ -113466,17 +114020,17 @@ op := formatFormula(first l,minPrec) formatFunction(op,args,prec) -@ -<>= +\end{chunk} +\begin{chunk}{FORMULA.dotabb} "FORMULA" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FORMULA"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "FORMULA" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SEG Segment} -<>= +\begin{chunk}{Segment.input} )set break resume )sys rm -f Segment.output )spool Segment.output @@ -113564,8 +114118,8 @@ --E 10 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Segment.help} ==================================================================== Segment examples ==================================================================== @@ -113645,7 +114199,7 @@ o )help SegmentBinding o )show Segment -@ +\end{chunk} \pagehead{Segment}{SEG} \pagepic{ps/v103segment.ps}{SEG}{1.00} {\bf See}\\ @@ -113672,7 +114226,7 @@ \cross{SEG}{?..?} &&&& \end{tabular} -<>= +\begin{chunk}{domain SEG Segment} )abbrev domain SEG Segment ++ Author: Stephen M. Watt ++ Date Created: December 1986 @@ -113748,17 +114302,17 @@ l := l + inc reverse_! lr -@ -<>= +\end{chunk} +\begin{chunk}{SEG.dotabb} "SEG" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SEG"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "SEG" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SEGBIND SegmentBinding} -<>= +\begin{chunk}{SegmentBinding.input} )set break resume )sys rm -f SegmentBinding.output )spool SegmentBinding.output @@ -113813,8 +114367,8 @@ --E 5 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SegmentBinding.help} ==================================================================== SegmentBinding examples ==================================================================== @@ -113869,7 +114423,7 @@ o )help UniversalSegment o )show SegmentBinding -@ +\end{chunk} \pagehead{SegmentBinding}{SEGBIND} \pagepic{ps/v103segmentbinding.ps}{SEGBIND}{1.00} {\bf See}\\ @@ -113888,7 +114442,7 @@ \cross{SEGBIND}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain SEGBIND SegmentBinding} )abbrev domain SEGBIND SegmentBinding ++ Author: Mark Botch ++ Date Created: @@ -113932,17 +114486,17 @@ coerce(b:%):OutputForm == variable(b)::OutputForm = segment(b)::OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{SEGBIND.dotabb} "SEGBIND" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SEGBIND"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SEGBIND" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SET Set} -<>= +\begin{chunk}{Set.input} )set break resume )sys rm -f Set.output )spool Set.output @@ -114116,8 +114670,8 @@ --E 20 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Set.help} ==================================================================== Set examples ==================================================================== @@ -114249,7 +114803,7 @@ o )help List o )show Set -@ +\end{chunk} \pagehead{Set}{SET} \pagepic{ps/v103set.ps}{SET}{1.00} @@ -114311,7 +114865,7 @@ \cross{SET}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain SET Set} )abbrev domain SET Set ++ Author: Michael Monagan; revised by Richard Jenks ++ Date Created: August 87 through August 88 @@ -114490,17 +115044,17 @@ k := inc k s -@ -<>= +\end{chunk} +\begin{chunk}{SET.dotabb} "SET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SET"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SET" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SETMN SetOfMIntegersInOneToN} -<>= +\begin{chunk}{SetOfMIntegersInOneToN.input} )set break resume )sys rm -f SetOfMIntegersInOneToN.output )spool SetOfMIntegersInOneToN.output @@ -114532,8 +115086,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SetOfMIntegersInOneToN.help} ==================================================================== SetOfMIntegersInOneToN examples ==================================================================== @@ -114541,7 +115095,7 @@ See Also: o )show SetOfMIntegersInOneToN -@ +\end{chunk} \pagehead{SetOfMIntegersInOneToN}{SETMN} \pagepic{ps/v103setofmintegersinoneton.ps}{SETMN}{1.00} @@ -114566,7 +115120,7 @@ \cross{SETMN}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain SETMN SetOfMIntegersInOneToN} )abbrev domain SETMN SetOfMIntegersInOneToN ++ Author: Manuel Bronstein ++ Date Created: 10 January 1994 @@ -114712,17 +115266,17 @@ newb.i := false [newb, (i = p => s.pos; 0)] -@ -<>= +\end{chunk} +\begin{chunk}{SETMN.dotabb} "SETMN" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SETMN"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "SETMN" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SDPOL SequentialDifferentialPolynomial} -<>= +\begin{chunk}{SequentialDifferentialPolynomial.input} )set break resume )sys rm -f SequentialDifferentialPolynomial.output )spool SequentialDifferentialPolynomial.output @@ -114898,8 +115452,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SequentialDifferentialPolynomial.help} ==================================================================== SequentialDifferentialPolynomial examples ==================================================================== @@ -114907,7 +115461,7 @@ See Also: o )show SequentialDifferentialPolynomial -@ +\end{chunk} \pagehead{SequentialDifferentialPolynomial}{SDPOL} \pagepic{ps/v103sequentialdifferentialpolynomial.ps}{SDPOL}{1.00} @@ -115013,7 +115567,7 @@ \cross{SDPOL}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain SDPOL SequentialDifferentialPolynomial} )abbrev domain SDPOL SequentialDifferentialPolynomial ++ Author: William Sit ++ Date Created: 24 September, 1991 @@ -115044,17 +115598,17 @@ Implementation ==> DifferentialSparseMultivariatePolynomial(R,S,V) -@ -<>= +\end{chunk} +\begin{chunk}{SDPOL.dotabb} "SDPOL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SDPOL"] "DPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DPOLCAT"] "SDPOL" -> "DPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SDVAR SequentialDifferentialVariable} -<>= +\begin{chunk}{SequentialDifferentialVariable.input} )set break resume )sys rm -f SequentialDifferentialVariable.output )spool SequentialDifferentialVariable.output @@ -115087,8 +115641,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SequentialDifferentialVariable.help} ==================================================================== SequentialDifferentialVariable examples ==================================================================== @@ -115096,7 +115650,7 @@ See Also: o )show SequentialDifferentialVariable -@ +\end{chunk} \pagehead{SequentialDifferentialVariable}{SDVAR} \pagepic{ps/v103sequentialdifferentialvariable.ps}{SDVAR}{1.00} @@ -115128,7 +115682,7 @@ \cross{SDVAR}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain SDVAR SequentialDifferentialVariable} )abbrev domain SDVAR SequentialDifferentialVariable ++ Author: William Sit ++ Date Created: 19 July 1990 @@ -115163,19 +115717,19 @@ variable v = variable u => order v < order u variable v < variable u -@ -<>= +\end{chunk} +\begin{chunk}{SDVAR.dotabb} "SDVAR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SDVAR"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "RETRACT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RETRACT"] "SDVAR" -> "ORDSET" "SDVAR" -> "RETRACT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SEX SExpression} -<>= +\begin{chunk}{SExpression.input} )set break resume )sys rm -f SExpression.output )spool SExpression.output @@ -115212,8 +115766,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SExpression.help} ==================================================================== SExpression examples ==================================================================== @@ -115221,7 +115775,7 @@ See Also: o )show SExpression -@ +\end{chunk} \pagehead{SExpression}{SEX} \pagepic{ps/v103sexpression.ps}{SEX}{1.00} @@ -115257,7 +115811,7 @@ \cross{SEX}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain SEX SExpression} )abbrev domain SEX SExpression ++ Author: S.M.Watt ++ Date Created: July 1987 @@ -115268,17 +115822,17 @@ SExpression() == SExpressionOf(String, Symbol, Integer, DoubleFloat, OutputForm) -@ -<>= +\end{chunk} +\begin{chunk}{SEX.dotabb} "SEX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SEX"] "STRICAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=STRICAT"] "SEX" -> "STRICAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SEXOF SExpressionOf} -<>= +\begin{chunk}{SExpressionOf.input} )set break resume )sys rm -f SExpressionOf.output )spool SExpressionOf.output @@ -115315,8 +115869,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SExpressionOf.help} ==================================================================== SExpressionOf examples ==================================================================== @@ -115324,7 +115878,7 @@ See Also: o )show SExpressionOf -@ +\end{chunk} \pagehead{SExpressionOf}{SEXOF} \pagepic{ps/v103sexpressionof.ps}{SEXOF}{1.00} @@ -115360,7 +115914,7 @@ \cross{SEXOF}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain SEXOF SExpressionOf} )abbrev domain SEXOF SExpressionOf ++ Author: S.M.Watt ++ Date Created: July 1987 @@ -115398,9 +115952,9 @@ null? b == NULL(b)$Lisp atom? b == ATOM(b)$Lisp - pair? b == PAIRP(b)$Lisp + pair? b == CONSP(b)$Lisp - list? b == PAIRP(b)$Lisp or NULL(b)$Lisp + list? b == CONSP(b)$Lisp or NULL(b)$Lisp string? b == STRINGP(b)$Lisp symbol? b == IDENTP(b)$Lisp integer? b == INTEGERP(b)$Lisp @@ -115428,19 +115982,19 @@ for i in li repeat b := destruct(b).i b -@ -<>= +\end{chunk} +\begin{chunk}{SEXOF.dotabb} "SEXOF" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SEXOF"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "SEXOF" -> "FLAGG" "SEXOF" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SAE SimpleAlgebraicExtension} -<>= +\begin{chunk}{SimpleAlgebraicExtension.input} )set break resume )sys rm -f SimpleAlgebraicExtension.output )spool SimpleAlgebraicExtension.output @@ -115575,8 +116129,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SimpleAlgebraicExtension.help} ==================================================================== SimpleAlgebraicExtension examples ==================================================================== @@ -115584,7 +116138,7 @@ See Also: o )show SimpleAlgebraicExtension -@ +\end{chunk} \pagehead{SimpleAlgebraicExtension}{SAE} \pagepic{ps/v103simplealgebraicextension.ps}{SAE}{1.00} @@ -115674,7 +116228,7 @@ \cross{SAE}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain SAE SimpleAlgebraicExtension} )abbrev domain SAE SimpleAlgebraicExtension ++ Author: Barry Trager, Manuel Bronstein, Clifton Williamson ++ Date Created: 1986 @@ -115853,17 +116407,17 @@ -- for j in 0..i)).a -- ffe.f -@ -<>= +\end{chunk} +\begin{chunk}{SAE.dotabb} "SAE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SAE"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "SAE" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SFORT SimpleFortranProgram} -<>= +\begin{chunk}{SimpleFortranProgram.input} )set break resume )sys rm -f SimpleFortranProgram.output )spool SimpleFortranProgram.output @@ -115886,8 +116440,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SimpleFortranProgram.help} ==================================================================== SimpleFortranProgram examples ==================================================================== @@ -115895,7 +116449,7 @@ See Also: o )show SimpleFortranProgram -@ +\end{chunk} \pagehead{SimpleFortranProgram}{SFORT} \pagepic{ps/v103simplefortranprogram.ps}{SFORT}{1.00} @@ -115915,7 +116469,7 @@ \cross{SFORT}{outputAsFortran} \end{tabular} -<>= +\begin{chunk}{domain SFORT SimpleFortranProgram} )abbrev domain SFORT SimpleFortranProgram -- Because of a bug in the compiler: )bo $noSubsumption:=true @@ -115978,20 +116532,20 @@ dispfortexp1$Lisp "END"::OutputForm void()$Void -@ -<>= +\end{chunk} +\begin{chunk}{SFORT.dotabb} "SFORT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SFORT"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "SFORT" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SINT SingleInteger} The definition of {\bf one?} has been rewritten as it relies on calling {\bf ONEP} which is a function specific to Codemist Common Lisp but is not defined in Common Lisp. -<>= +\begin{chunk}{SingleInteger.input} )set break resume )sys rm -f SingleInteger.output )spool SingleInteger.output @@ -116087,8 +116641,8 @@ --E 11 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SingleInteger.help} ==================================================================== SingleInteger examples ==================================================================== @@ -116176,7 +116730,7 @@ o )help Integer o )show SingleInteger -@ +\end{chunk} \pagehead{SingleInteger}{SINT} \pagepic{ps/v103singleinteger.ps}{SINT}{1.00} @@ -116276,7 +116830,7 @@ \cross{SINT}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain SINT SingleInteger} )abbrev domain SINT SingleInteger -- following patch needed to deal with *:(I,%) -> % @@ -116473,19 +117027,19 @@ )bo $noSubsets := false -@ -<>= +\end{chunk} +\begin{chunk}{SINT.dotabb} "SINT" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SINT",shape=ellipse] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "SINT" -> "PID" "SINT" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SAOS SingletonAsOrderedSet} -<>= +\begin{chunk}{SingletonAsOrderedSet.input} )set break resume )sys rm -f SingletonAsOrderedSet.output )spool SingletonAsOrderedSet.output @@ -116513,8 +117067,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SingletonAsOrderedSet.help} ==================================================================== SingletonAsOrderedSet examples ==================================================================== @@ -116522,7 +117076,7 @@ See Also: o )show SingletonAsOrderedSet -@ +\end{chunk} \pagehead{SingletonAsOrderedSet}{SAOS} \pagepic{ps/v103singletonasorderedset.ps}{SAOS}{1.00} @@ -116544,7 +117098,7 @@ \cross{SAOS}{?$>=$?} && \end{tabular} -<>= +\begin{chunk}{domain SAOS SingletonAsOrderedSet} )abbrev domain SAOS SingletonAsOrderedSet ++ Author: Mark Botch ++ Description: @@ -116563,17 +117117,17 @@ max(a,b) == a -- only one element convert a == coerce("?") -@ -<>= +\end{chunk} +\begin{chunk}{SAOS.dotabb} "SAOS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SAOS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SAOS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SMP SparseMultivariatePolynomial} -<>= +\begin{chunk}{SparseMultivariatePolynomial.input} )set break resume )sys rm -f SparseMultivariatePolynomial.output )spool SparseMultivariatePolynomial.output @@ -116709,8 +117263,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseMultivariatePolynomial.help} ==================================================================== SparseMultivariatePolynomial examples ==================================================================== @@ -116718,7 +117272,7 @@ See Also: o )show SparseMultivariatePolynomial -@ +\end{chunk} \pagehead{SparseMultivariatePolynomial}{SMP} \pagepic{ps/v103sparsemultivariatepolynomial.ps}{SMP}{1.00} @@ -116814,7 +117368,7 @@ \cross{SMP}{?$>=$?} & \end{tabular} -<>= +\begin{chunk}{domain SMP SparseMultivariatePolynomial} )abbrev domain SMP SparseMultivariatePolynomial ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -117392,17 +117946,17 @@ -- p1.v > p2.v => gcd(content(p1.ts), p2) -- PSimp(p1.v, gcd(p1.ts, p2.ts)) -@ -<>= +\end{chunk} +\begin{chunk}{SMP.dotabb} "SMP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SMTS SparseMultivariateTaylorSeries} -<>= +\begin{chunk}{SparseMultivariateTaylorSeries.input} )set break resume )sys rm -f SparseMultivariateTaylorSeries.output )spool SparseMultivariateTaylorSeries.output @@ -117536,8 +118090,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseMultivariateTaylorSeries.help} ==================================================================== SparseMultivariateTaylorSeries examples ==================================================================== @@ -117642,7 +118196,7 @@ o )show SparseMultivariateTaylorSeries o )display op coefficient -@ +\end{chunk} \pagehead{SparseMultivariateTaylorSeries}{SMTS} \pagepic{ps/v103sparsemultivariatetaylorseries.ps}{SMTS}{1.00} {\bf See}\\ @@ -117726,7 +118280,7 @@ \cross{SMTS}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain SMTS SparseMultivariateTaylorSeries} )abbrev domain SMTS SparseMultivariateTaylorSeries ++ Authors: William Burge, Stephen Watt, Clifton Williamson ++ Date Created: 15 August 1988 @@ -118008,17 +118562,17 @@ p:% / r:Coef == (map((z1:SMP):SMP +-> z1/$SMP r,stream p)$SF2(SMP,SMP)) pretend % -@ -<>= +\end{chunk} +\begin{chunk}{SMTS.dotabb} "SMTS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SMTS"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SMTS" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain STBL SparseTable} -<>= +\begin{chunk}{SparseTable.input} )set break resume )sys rm -f SparseTable.output )spool SparseTable.output @@ -118082,8 +118636,8 @@ --E 7 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseTable.help} ==================================================================== SparseTable examples ==================================================================== @@ -118139,7 +118693,7 @@ o )help GeneralSparseTable o )show SparseTable -@ +\end{chunk} \pagehead{SparseTable}{STBL} \pagepic{ps/v103sparsetable.ps}{STBL}{1.00} {\bf See}\\ @@ -118209,7 +118763,7 @@ \cross{STBL}{?.?} \end{tabular} -<>= +\begin{chunk}{domain STBL SparseTable} )abbrev domain STBL SparseTable ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -118228,17 +118782,17 @@ SparseTable(Key:SetCategory, Ent:SetCategory, dent:Ent) == GeneralSparseTable(Key, Ent, Table(Key, Ent), dent) -@ -<>= +\end{chunk} +\begin{chunk}{STBL.dotabb} "STBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STBL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "STBL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SULS SparseUnivariateLaurentSeries} -<>= +\begin{chunk}{SparseUnivariateLaurentSeries.input} )set break resume )sys rm -f SparseUnivariateLaurentSeries.output )spool SparseUnivariateLaurentSeries.output @@ -118446,8 +119000,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseUnivariateLaurentSeries.help} ==================================================================== SparseUnivariateLaurentSeries examples ==================================================================== @@ -118455,7 +119009,7 @@ See Also: o )show SparseUnivariateLaurentSeries -@ +\end{chunk} \pagehead{SparseUnivariateLaurentSeries}{SULS} \pagepic{ps/v103sparseunivariatelaurentseries.ps}{SULS}{1.00} @@ -118600,7 +119154,7 @@ \cross{SULS}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain SULS SparseUnivariateLaurentSeries} )abbrev domain SULS SparseUnivariateLaurentSeries ++ Author: Clifton J. Williamson ++ Date Created: 11 November 1994 @@ -118796,17 +119350,17 @@ extend(uls,degr) seriesToOutputForm(st,getRef uls,variable uls,center uls,1) -@ -<>= +\end{chunk} +\begin{chunk}{SULS.dotabb} "SULS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SULS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "SULS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SUP SparseUnivariatePolynomial} -<>= +\begin{chunk}{SparseUnivariatePolynomial.input} )set break resume )sys rm -f SparseUnivariatePolynomial.output )spool SparseUnivariatePolynomial.output @@ -118998,8 +119552,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseUnivariatePolynomial.help} ==================================================================== SparseUnivariatePolynomial examples ==================================================================== @@ -119007,7 +119561,7 @@ See Also: o )show SparseUnivariatePolynomial -@ +\end{chunk} \pagehead{SparseUnivariatePolynomial}{SUP} \pagepic{ps/v103sparseunivariatepolynomial.ps}{SUP}{1.00} @@ -119136,7 +119690,7 @@ \cross{SUP}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain SUP SparseUnivariatePolynomial} )abbrev domain SUP SparseUnivariatePolynomial ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -119484,13 +120038,13 @@ p / co == inv(co) * p -@ -<>= +\end{chunk} +\begin{chunk}{SUP.dotabb} "SUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SUP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SUP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SUPEXPR SparseUnivariatePolynomialExpressions} @@ -119500,7 +120054,7 @@ long as they are just constants. I don't see another way to do this, unfortunately. -<>= +\begin{chunk}{SparseUnivariatePolynomialExpressions.input} )set break resume )sys rm -f SparseUnivariatePolynomialExpressions.output )spool SparseUnivariatePolynomialExpressions.output @@ -119717,8 +120271,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseUnivariatePolynomialExpressions.help} ==================================================================== SparseUnivariatePolynomialExpressions examples ==================================================================== @@ -119726,7 +120280,7 @@ See Also: o )show SparseUnivariatePolynomialExpressions -@ +\end{chunk} \pagehead{SparseUnivariatePolynomialExpressions}{SUPEXPR} @@ -119875,7 +120429,7 @@ \cross{SUPEXPR}{?rem?} && \end{tabular} -<>= +\begin{chunk}{domain SUPEXPR SparseUnivariatePolynomialExpressions} )abbrev domain SUPEXPR SparseUnivariatePolynomialExpressions ++ Author: Mark Botch ++ Description: @@ -119916,17 +120470,17 @@ ground? p => coerce acos ground p output(hconcat("acos p for p= ", p::OutputForm))$OutputPackage error "SUPTRAFUN: acos only defined for elements of the coefficient ring" -@ -<>= +\end{chunk} +\begin{chunk}{SUPEXPR.dotabb} "SUPEXPR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SUPEXPR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SUPEXPR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SUPXS SparseUnivariatePuiseuxSeries} -<>= +\begin{chunk}{SparseUnivariatePuiseuxSeries.input} )set break resume )sys rm -f SparseUnivariatePuiseuxSeries.output )spool SparseUnivariatePuiseuxSeries.output @@ -120079,8 +120633,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseUnivariatePuiseuxSeries.help} ==================================================================== SparseUnivariatePuiseuxSeries examples ==================================================================== @@ -120088,7 +120642,7 @@ See Also: o )show SparseUnivariatePuiseuxSeries -@ +\end{chunk} \pagehead{SparseUnivariatePuiseuxSeries}{SUPXS} \pagepic{ps/v103sparseunivariatepuiseuxseries.ps}{SUPXS}{1.00} @@ -120201,7 +120755,7 @@ \cross{SUPXS}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain SUPXS SparseUnivariatePuiseuxSeries} )abbrev domain SUPXS SparseUnivariatePuiseuxSeries ++ Author: Clifton J. Williamson ++ Date Created: 11 November 1994 @@ -120289,17 +120843,17 @@ extend(sups,degr) seriesToOutputForm(st,refer,variable x,center x,rationalPower x) -@ -<>= +\end{chunk} +\begin{chunk}{SUPXS.dotabb} "SUPXS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SUPXS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "SUPXS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ORESUP SparseUnivariateSkewPolynomial} -<>= +\begin{chunk}{SparseUnivariateSkewPolynomial.input} )set break resume )sys rm -f SparseUnivariateSkewPolynomial.output )spool SparseUnivariateSkewPolynomial.output @@ -120369,8 +120923,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseUnivariateSkewPolynomial.help} ==================================================================== SparseUnivariateSkewPolynomial examples ==================================================================== @@ -120378,7 +120932,7 @@ See Also: o )show SparseUnivariateSkewPolynomial -@ +\end{chunk} \pagehead{SparseUnivariateSkewPolynomial}{ORESUP} \pagepic{ps/v103sparseunivariateskewpolynomial.ps}{ORESUP}{1.00} @@ -120439,7 +120993,7 @@ \cross{ORESUP}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain ORESUP SparseUnivariateSkewPolynomial} )abbrev domain ORESUP SparseUnivariateSkewPolynomial ++ Author: Manuel Bronstein ++ Date Created: 19 October 1993 @@ -120468,17 +121022,17 @@ leftDivide(a, b) == leftDivide(a, b, sigma) rightDivide(a, b) == rightDivide(a, b, sigma) -@ -<>= +\end{chunk} +\begin{chunk}{ORESUP.dotabb} "ORESUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ORESUP"] "OREPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OREPCAT"] "ORESUP" -> "OREPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SUTS SparseUnivariateTaylorSeries} -<>= +\begin{chunk}{SparseUnivariateTaylorSeries.input} )set break resume )sys rm -f SparseUnivariateTaylorSeries.output )spool SparseUnivariateTaylorSeries.output @@ -120604,8 +121158,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SparseUnivariateTaylorSeries.help} ==================================================================== SparseUnivariateTaylorSeries examples ==================================================================== @@ -120613,7 +121167,7 @@ See Also: o )show SparseUnivariateTaylorSeries -@ +\end{chunk} \pagehead{SparseUnivariateTaylorSeries}{SUTS} \pagepic{ps/v103sparseunivariatetaylorseries.ps}{SUTS}{1.00} @@ -120709,7 +121263,7 @@ \cross{SUTS}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain SUTS SparseUnivariateTaylorSeries} )abbrev domain SUTS SparseUnivariateTaylorSeries ++ Author: Clifton J. Williamson ++ Date Created: 16 February 1990 @@ -121094,17 +121648,17 @@ extend(x,count) seriesToOutputForm(getStream x,getRef x,variable x,center x,1) -@ -<>= +\end{chunk} +\begin{chunk}{SUTS.dotabb} "SUTS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SUTS"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "SUTS" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SHDP SplitHomogeneousDirectProduct} -<>= +\begin{chunk}{SplitHomogeneousDirectProduct.input} )set break resume )sys rm -f SplitHomogeneousDirectProduct.output )spool SplitHomogeneousDirectProduct.output @@ -121228,8 +121782,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SplitHomogeneousDirectProduct.help} ==================================================================== SplitHomogeneousDirectProduct examples ==================================================================== @@ -121237,7 +121791,7 @@ See Also: o )show SplitHomogeneousDirectProduct -@ +\end{chunk} \pagehead{SplitHomogeneousDirectProduct}{SHDP} \pagepic{ps/v103splithomogeneousdirectproduct.ps}{SHDP}{1.00} @@ -121324,7 +121878,7 @@ \cross{SHDP}{?.?} \end{tabular} -<>= +\begin{chunk}{domain SHDP SplitHomogeneousDirectProduct} )abbrev domain SHDP SplitHomogeneousDirectProduct ++ Author: Mark Botch ++ Date Created: @@ -121372,17 +121926,17 @@ if qelt(v1,i) ^= qelt(v2,i) then return false lessThanRlex(v1,v2,dim1+1,dimtot) -@ -<>= +\end{chunk} +\begin{chunk}{SHDP.dotabb} "SHDP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SHDP"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "SHDP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SPLNODE SplittingNode} -<>= +\begin{chunk}{SplittingNode.input} )set break resume )sys rm -f SplittingNode.output )spool SplittingNode.output @@ -121416,8 +121970,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SplittingNode.help} ==================================================================== SplittingNode examples ==================================================================== @@ -121425,7 +121979,7 @@ See Also: o )show SplittingNode -@ +\end{chunk} \pagehead{SplittingNode}{SPLNODE} \pagepic{ps/v103splittingnode.ps}{SPLNODE}{1.00} @@ -121454,7 +122008,7 @@ \cross{SPLNODE}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain SPLNODE SplittingNode} )abbrev domain SPLNODE SplittingNode ++ Author: Marc Moereno Maza ++ Date Created: 07/05/1996 @@ -121604,8 +122158,8 @@ l := [o1,o2,o3] bracket commaSeparate l -@ -<>= +\end{chunk} +\begin{chunk}{SPLNODE.dotabb} "SPLNODE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SPLNODE"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] @@ -121614,11 +122168,11 @@ "SPLNODE" -> "KOERCE" "SPLNODE" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SPLTREE SplittingTree} -<>= +\begin{chunk}{SplittingTree.input} )set break resume )sys rm -f SplittingTree.output )spool SplittingTree.output @@ -121686,8 +122240,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SplittingTree.help} ==================================================================== SplittingTree examples ==================================================================== @@ -121695,7 +122249,7 @@ See Also: o )show SplittingTree -@ +\end{chunk} \pagehead{SplittingTree}{SPLTREE} \pagepic{ps/v103splittingtree.ps}{SPLTREE}{1.00} @@ -121753,7 +122307,7 @@ \cross{SPLTREE}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain SPLTREE SplittingTree} )abbrev domain SPLTREE SplittingTree ++ Author: Marc Moereno Maza ++ Date Created: 07/05/1996 @@ -122059,17 +122613,17 @@ if empty? la then (rep l).root := [empty()$V,empty()$C,true]$S updateStatus!(a) -@ -<>= +\end{chunk} +\begin{chunk}{SPLTREE.dotabb} "SPLTREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SPLTREE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "SPLTREE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SREGSET SquareFreeRegularTriangularSet} -<>= +\begin{chunk}{SquareFreeRegularTriangularSet.input} )set break resume )sys rm -f SquareFreeRegularTriangularSet.output )spool SquareFreeRegularTriangularSet.output @@ -122289,8 +122843,8 @@ --E 23 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SquareFreeRegularTriangularSet.help} ==================================================================== SquareFreeRegularTriangularSet examples ==================================================================== @@ -122539,7 +123093,7 @@ o )help RegularTriangularSet o )show SquareFreeRegularTriangularSet -@ +\end{chunk} \pagehead{SquareFreeRegularTriangularSet}{SREGSET} \pagepic{ps/v103squarefreeregulartriangularset.ps}{SREGSET}{1.00} @@ -122640,7 +123194,7 @@ \cross{SREGSET}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain SREGSET SquareFreeRegularTriangularSet} )abbrev domain SREGSET SquareFreeRegularTriangularSet ++ Author: Marc Moreno Maza ++ Date Created: 08/25/1998 @@ -123035,17 +123589,17 @@ lp2 := [] return [lp2,lts] -@ -<>= +\end{chunk} +\begin{chunk}{SREGSET.dotabb} "SREGSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SREGSET"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "SREGSET" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SQMATRIX SquareMatrix} -<>= +\begin{chunk}{SquareMatrix.input} )set break resume )sys rm -f SquareMatrix.output )spool SquareMatrix.output @@ -123115,8 +123669,8 @@ --E 6 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SquareMatrix.help} ==================================================================== SquareMatrix examples ==================================================================== @@ -123188,7 +123742,7 @@ o )help Matrix o )show SquareMatrix -@ +\end{chunk} \pagehead{SquareMatrix}{SQMATRIX} \pagepic{ps/v103squarematrix.ps}{SQMATRIX}{1.00} {\bf See}\\ @@ -123274,7 +123828,7 @@ \cross{SQMATRIX}{?/?} & \end{tabular} -<>= +\begin{chunk}{domain SQMATRIX SquareMatrix} )abbrev domain SQMATRIX SquareMatrix ++ Author: Grabmeier, Gschnitzer, Williamson ++ Date Created: 1987 @@ -123412,17 +123966,17 @@ convert(x::Matrix(R))]$List(InputForm) -@ -<>= +\end{chunk} +\begin{chunk}{SQMATRIX.dotabb} "SQMATRIX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SQMATRIX"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SQMATRIX" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain STACK Stack} -<>= +\begin{chunk}{Stack.input} )set break resume )sys rm -f Stack.output )spool Stack.output @@ -123776,8 +124330,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Stack.help} ==================================================================== Stack examples ==================================================================== @@ -124005,7 +124559,7 @@ o )show Heap o )show BagAggregate -@ +\end{chunk} \pagehead{Stack}{STACK} \pagepic{ps/v103stack.ps}{STACK}{1.00} {\bf See}\\ @@ -124050,7 +124604,7 @@ \cross{STACK}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain STACK Stack} )abbrev domain STACK Stack ++ Author: Michael Monagan, Stephen Watt, Timothy Daly ++ Date Created:June 86 and July 87 @@ -124236,17 +124790,506 @@ map(f,s) == ref map(f,deref s) map!(f,s) == ref map!(f,deref s) -@ -<>= +\end{chunk} +\begin{chunk}{STACK.dotabb} "STACK" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STACK"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "STACK" -> "FLAGG" -@ +\end{chunk} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{domain SD StochasticDifferential} + +\begin{chunk}{StochasticDifferential.input} +)set break resume +)sys rm -f StochasticDifferential.output +)spool StochasticDifferential.output +)set message test on +)set message auto off +)clear all + +--S 1 of 12 +dt := introduce!(t,dt) +--R +--R +--R (1) dt +--R Type: Union(BasicStochasticDifferential,...) +--E 1 + +--S 2 of 12 +dX := introduce!(X,dX) +--R +--R +--R (2) dX +--R Type: Union(BasicStochasticDifferential,...) +--E 2 + +--S 3 of 12 +dY := introduce!(Y,dY) +--R +--R +--R (3) dY +--R Type: Union(BasicStochasticDifferential,...) +--E 3 + +--S 4 of 12 +copyBSD() +--R +--R +--R (4) [dX,dY,dt] +--R Type: List BasicStochasticDifferential +--E 4 + +--S 5 of 12 +copyIto() +--R +--R +--R (5) table(t= dt,Y= dY,X= dX) +--R Type: Table(Symbol,BasicStochasticDifferential) +--E 5 + +--S 6 of 12 +copyQuadVar() -- display of multiplication table +--R +--R +--R (6) table() +--R Type: Table(StochasticDifferential Integer,StochasticDifferential Integer) +--E 6 + +--S 7 of 12 +statusIto() +--R +--R +--R +B S D : dX dY dt+ +--R | | +--R |drift : ? ? ? | +--R | | +--R | * | +--R (7) | | +--R | dX : ? ? ? | +--R | | +--R | dY : ? ? ? | +--R | | +--R + dt : ? ? ? + +--R Type: OutputForm +--E 7 + +--S 8 of 12 +copyDrift() -- display of drift list +--R +--R +--R (8) table() +--R Type: Table(StochasticDifferential Integer,StochasticDifferential Integer) +--E 8 + +--S 9 of 12 +nbsd := #copyBSD() +--R +--R +--R (9) 3 +--R Type: PositiveInteger +--E 9 + +--S 10 of 12 +ItoMultArray:ARRAY2(SD INT) :=new(nbsd,nbsd,0$SD(INT)) +--R +--R +--R +0 0 0+ +--R | | +--R (10) |0 0 0| +--R | | +--R +0 0 0+ +--R Type: TwoDimensionalArray StochasticDifferential Integer +--E 10 + +--S 11 of 12 +ItoMultArray +--R +--R +--R +0 0 0+ +--R | | +--R (11) |0 0 0| +--R | | +--R +0 0 0+ +--R Type: TwoDimensionalArray StochasticDifferential Integer +--E 11 + +--S 12 of 12 +statusIto() +--R +--R +--R +B S D : dX dY dt+ +--R | | +--R |drift : ? ? ? | +--R | | +--R | * | +--R (12) | | +--R | dX : ? ? ? | +--R | | +--R | dY : ? ? ? | +--R | | +--R + dt : ? ? ? + +--R Type: OutputForm +--E 12 + +)spool +)lisp (bye) +\end{chunk} +\begin{chunk}{StochasticDifferential.help} +==================================================================== +StochasticDifferential examples +==================================================================== +A basic implementation of StochasticDifferential(R) using the +associated domain BasicStochasticDifferential in the underlying +representation as sparse multivariate polynomials. The domain is +a module over Expression(R), and is a ring without identity +(AXIOM term is "Rng"). Note that separate instances, for example +using R=Integer and R=Float, have different hidden structure +(multiplication and drift tables). + +dt := introduce!(t,dt) + dt + +dX := introduce!(X,dX) + dX + +dY := introduce!(Y,dY) + dY + +copyBSD() + [dX,dY,dt] + +copyIto() + table(t= dt,Y= dY,X= dX) + +copyQuadVar() -- display of multiplication table + table() + +statusIto() + +B S D : dX dY dt+ + | | + |drift : ? ? ? | + | | + | * | + | | + | dX : ? ? ? | + | | + | dY : ? ? ? | + | | + + dt : ? ? ? + + +copyDrift() -- display of drift list + table() + +nbsd := #copyBSD() + 3 + +ItoMultArray:ARRAY2(SD INT) :=new(nbsd,nbsd,0$SD(INT)) + +0 0 0+ + | | + |0 0 0| + | | + +0 0 0+ + +ItoMultArray + +0 0 0+ + | | + |0 0 0| + | | + +0 0 0+ + +statusIto() + +B S D : dX dY dt+ + | | + |drift : ? ? ? | + | | + | * | + | | + | dX : ? ? ? | + | | + | dY : ? ? ? | + | | + + dt : ? ? ? + + + +See Also: +o )help BasicStochasticDifferential +o )show StochasticDifferential + +\end{chunk} +\pagehead{StochasticDifferential}{SD} +\pagepic{ps/v103stochasticdifferential.ps}{SD}{1.00} +{\bf See}\\ +\pagefrom{BasicStochasticDifferential}{BSD} + +{\bf Exports:}\\ +\begin{tabular}{llll} +\cross{SD}{0} & +\cross{SD}{coerce} & +\cross{SD}{copyDrift} & +\cross{SD}{copyQuadVar} \\ +\cross{SD}{drift} & +\cross{SD}{hash} & +\cross{SD}{latex} & +\cross{SD}{sample} \\ +\cross{SD}{statusIto} & +\cross{SD}{uncorrelated?} & +\cross{SD}{zero?} & +\cross{SD}{alterDrift!} \\ +\cross{SD}{alterQuadVar!} & +\cross{SD}{coefficient} & +\cross{SD}{coerce} & +\cross{SD}{equation} \\ +\cross{SD}{freeOf?} & +\cross{SD}{listSD} & +\cross{SD}{retract} & +\cross{SD}{retractIfCan} \\ +\cross{SD}{subtractIfCan} & +\cross{SD}{?*?} & +\cross{SD}{?**?} & +\cross{SD}{?+?} \\ +\cross{SD}{?-?} & +\cross{SD}{-?} & +\cross{SD}{?/?} & +\cross{SD}{?=?} \\ +\cross{SD}{?\^{}?} & +\cross{SD}{?\~{}=?} +\end{tabular} + +\begin{chunk}{domain SD StochasticDifferential} +)abbrev domain SD StochasticDifferential +++ Author: Wilfrid S. Kendall +++ Last Last Updated: July 26, 1999 +++ Related Domains: BasicStochasticDifferential +++ AMS Classifications: +++ Keywords: stochastic differential, semimartingale. +++ References: Ito (1975), Kendall (1991a,b; 1993a,b). +++ Description: +++ A basic implementation of StochasticDifferential(R) using the +++ associated domain BasicStochasticDifferential in the underlying +++ representation as sparse multivariate polynomials. The domain is +++ a module over Expression(R), and is a ring without identity +++ (AXIOM term is "Rng"). Note that separate instances, for example +++ using R=Integer and R=Float, have different hidden structure +++ (multiplication and drift tables). + +StochasticDifferential(R:Join(OrderedSet, IntegralDomain)): + Category == Implementation where + ER ==> Expression(R) + PR ==> Polynomial(R) + FR ==> Fraction(PR) + BSD ==> BasicStochasticDifferential + PI ==> PositiveInteger + NNI ==> NonNegativeInteger + OF ==> OutputForm + Category ==> Join(Rng, Module(ER)) with + + RetractableTo(BSD) + + alterQuadVar!:(BSD,BSD,%) -> Union(%,"failed") + ++ alterQuadVar! adds multiplication formula for a + ++ pair of stochastic differentials to a private table. + ++ Failure occurs if + ++ (a) either of first or second arguments is not basic + ++ (b) third argument is not exactly of first degree + + alterDrift!:(BSD,%) -> Union(%,"failed") + ++ alterDrift! adds drift formula for a + ++ stochastic differential to a private table. + ++ Failure occurs if + ++ (a) first arguments is not basic + ++ (b) second argument is not exactly of first degree + + drift:% -> % + ++ drift(dx) returns the drift of \axiom{dx} + + freeOf?:(%,BSD) -> Boolean + ++ freeOf?(sd,dX) checks whether \axiom{dX} occurs in + ++ \axiom{sd} as a module element + + coefficient:(%,BSD) -> ER + ++ coefficient(sd,dX) returns the coefficient of \axiom{dX} + ++ in the stochastic differential \axiom{sd} + + listSD:(%) -> List BSD + ++ listSD(dx) returns a list of all \axiom{BSD} involved + ++ in the generation of \axiom{dx} as a module element + + equation:(%,R) -> Union(Equation %,"failed") + ++ equation(dx,0) allows RHS of Equation % to be zero + equation:(R,%) -> Union(Equation %,"failed") + ++ equation(0,dx) allows LHS of Equation % to be zero + + copyDrift:() -> Table(%,%) + ++ copyDrift returns private table of drifts + ++ of basic stochastic differentials for inspection + + copyQuadVar:() -> Table(%,%) + ++ copyQuadVar returns private multiplication table + ++ of basic stochastic differentials for inspection + + "/" : (%, ER) -> % + ++ dx/y divides the stochastic differential dx + ++ by the previsible function y. + + "**" : (%, PI) -> % + ++ dx**n is dx multiplied by itself n times. + + "^" : (%, PI) -> % + ++ dx^n is dx multiplied by itself n times. + + statusIto:() -> OF + ++ statusIto() displays the current state of \axiom{setBSD}, + ++ \axiom{tableDrift}, and \axiom{tableQuadVar}. Question + ++ marks are printed instead of undefined entries + ++ + ++X dt:=introduce!(t,dt) + ++X dX:=introduce!(X,dX) + ++X dY:=introduce!(Y,dY) + ++X copyBSD() + ++X copyIto() + ++X copyhQuadVar() + ++X statusIto() + + uncorrelated?: (%,%) -> Boolean + ++ uncorrelated?(dx,dy) checks whether its two arguments + ++ have zero quadratic co-variation. + uncorrelated?: (List %,List %) -> Boolean + ++ uncorrelated?(l1,l2) checks whether its two arguments + ++ are lists of stochastic differentials of zero inter-list + ++ quadratic co-variation. + uncorrelated?: (List List %) -> Boolean + ++ uncorrelated?(ll) checks whether its argument is a list + ++ of lists of stochastic differentials of zero inter-list + ++ quadratic co-variation. + + Implementation ==> SparseMultivariatePolynomial(ER,BSD) add + Rep:=SparseMultivariatePolynomial(ER,BSD) + + (v:% / s:ER):% == inv(s) * v + + tableQuadVar:Table(%,%) := table() + tableDrift:Table(%,%) := table() + + alterQuadVar!(da:BSD,db:BSD,dXdY:%):Union(%,"failed") == + -- next two lines for security only! + 1 < totalDegree(dXdY) => "failed" + 0 ~= coefficient(dXdY,degree(1)$Rep) => "failed" + not(0::% = (dXdY*dXdY)::%) => "failed" + setelt(tableQuadVar,((da::Rep)*(db::Rep))$Rep,dXdY)$Table(%,%) + -- We have to take care here to avoid a bad + -- recursion on \axiom{*:(%,%)->%} + + alterDrift!(da:BSD,dx:%):Union(%,"failed") == + 1 < totalDegree(dx) => "failed" + 0 ~= coefficient(dx,degree(1)$Rep) => "failed" + not(0::% = (dx*dx)::%) => "failed" + setelt(tableDrift,da::Rep,dx)$Table(%,%) + + multSDOrError(dm:%):% == + c := leadingCoefficient dm + (dmm := search(dm/c,tableQuadVar)) + case "failed" => + print hconcat(message("ERROR IN ")$OF,(dm/c)::OF) + error "Above product of sd's is not defined" + c*dmm + + (dx:% * dy:%) : % == + 1 < totalDegree(dx) => + print hconcat(message("ERROR IN ")$OF,dx::OF) + error "bad sd in lhs of sd product" + 1 < totalDegree(dy) => + print hconcat(message("ERROR IN ")$OF,dy::OF) + error "bad sd in rhs of sd product" + reduce("+",map(multSDOrError,monomials((dx*dy)$Rep)),0) + -- We have to take care here to avoid a bad + -- recursion on \axiom{*:(%,%)->%} + + (dx:% ** n:PI) : % == + n = 1 => dx + n = 2 => dx*dx + n > 2 => 0::% + + (dx:% ^ n:PI) : % == dx**n + + driftSDOrError(dm:%):% == + c := leadingCoefficient dm + (dmm := search(dm/c,tableDrift)) + case "failed" => + print hconcat(message("ERROR IN ")$OF,(dm/c)::OF) + error "drift of sd is not defined" + c*dmm + + drift(dx:%):% == + reduce("+",map(driftSDOrError,monomials(dx)),0) + + freeOf?(sd,dX) == (0 = coefficient(sd,dX,1)) + + coefficient(sd:%,dX:BSD):ER == + retract(coefficient(sd,dX,1))@ER + + listSD(sd) == + [retract(dX)@BSD for dX in primitiveMonomials(sd)] + + equation(dx:%,zero:R):Union(Equation %,"failed") == + not(0 = zero) => "failed" + equation(dx,0::%) + equation(zero:R,dx:%):Union(Equation %,"failed") == + not(0 = zero) => "failed" + equation(0::%,dx) + + copyDrift() == tableDrift + copyQuadVar() == tableQuadVar + + xDrift(dx:BSD):OF == + (xdx := search(dx::Rep,tableDrift)) case "failed" => "?"::OF + xdx::OF + + xQV(dx:BSD,dy:BSD):OF == + (xdxdy := search((dx::% * dy::%)$Rep,tableQuadVar)) + case "failed" => "?"::Symbol::OF + xdxdy::OF + + statusIto():OF == + bsd := copyBSD()$BSD + bsdo := [dx::OF for dx in bsd] + blank:= ""::Symbol::OF + colon:= ":"::Symbol::OF + bsdh := "B S D "::Symbol::OF + dfth := "drift "::Symbol::OF + qvh := "*"::Symbol::OF + head := append([bsdh,colon],bsdo) + drift:= append([dfth,colon],[xDrift dx for dx in bsd]) + space:= append([qvh ,blank],[blank for dx in bsd]) + qv := [append([dy::OF,colon],[xQV(dx,dy) for dx in bsd]) + for dy in bsd] + matrix(append([head,drift,space],qv))$OF + + uncorrelated?(dx:%,dy:%): Boolean == (0::% = dx*dy) + + uncorrelated?(l1:List %,l2:List %): Boolean == + reduce("and", [ + reduce("and",[uncorrelated?(dx,dy) for dy in l2],true) + for dx in l1 ],true) + + uncorrelated1?(l1:List %,ll:List List %): Boolean == + reduce("and",[uncorrelated?(l1,l2) for l2 in ll],true) + + uncorrelated?(ll:List List %): Boolean == + (0$Integer = # ll) => true + (1 = # ll) => true + uncorrelated1?(first ll,rest ll) and uncorrelated?(rest ll) +\end{chunk} +\begin{chunk}{SD.dotabb} +"SD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SD"] +"FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] +"SD" -> "FS" + +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain STREAM Stream} -<>= +\begin{chunk}{Stream.input} )set break resume )sys rm -f Stream.output )spool Stream.output @@ -124347,8 +125390,8 @@ --E 12 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Stream.help} ==================================================================== Stream examples ==================================================================== @@ -124427,7 +125470,7 @@ o )help StreamFunctions3 o )show Stream -@ +\end{chunk} \pagehead{Stream}{STREAM} \pagepic{ps/v103stream.ps}{STREAM}{1.00} @@ -124538,7 +125581,7 @@ \cross{STREAM}{?.value} && \end{tabular} -<>= +\begin{chunk}{domain STREAM Stream} )abbrev domain STREAM Stream ++ Implementation of streams via lazy evaluation ++ Authors: Burge, Watt; updated by Clifton J. Williamson @@ -125185,17 +126228,17 @@ -- p(f(#1,frst y),x) -- mapp(f,x,y,a) -@ -<>= +\end{chunk} +\begin{chunk}{STREAM.dotabb} "STREAM" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STREAM"] "LZSTAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LZSTAGG"] "STREAM" -> "LZSTAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain STRING String} -<>= +\begin{chunk}{String.input} )set break resume )sys rm -f String.output )spool String.output @@ -125481,8 +126524,8 @@ --E 35 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{String.help} ==================================================================== String examples ==================================================================== @@ -125698,7 +126741,7 @@ o )help CharacterClass o )show String -@ +\end{chunk} \pagehead{String}{STRING} \pagepic{ps/v103string.ps}{STRING}{1.00} {\bf See}\\ @@ -125787,7 +126830,7 @@ \cross{STRING}{?$>=$?} &&& \end{tabular} -<>= +\begin{chunk}{domain STRING String} )abbrev domain STRING String ++ Author: Mark Botch ++ Description: @@ -125832,17 +126875,17 @@ if wholeObj then OMputEndObject(dev) -@ -<>= +\end{chunk} +\begin{chunk}{STRING.dotabb} "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "STRICAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=STRICAT"] "STRING" -> "STRICAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain STRTBL StringTable} -<>= +\begin{chunk}{StringTable.input} )set break resume )sys rm -f StringTable.output )spool StringTable.output @@ -125877,8 +126920,8 @@ --E 3 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StringTable.help} ==================================================================== StringTable examples ==================================================================== @@ -125913,7 +126956,7 @@ o )help Table o )show StringTable -@ +\end{chunk} \pagehead{StringTable}{STRTBL} \pagepic{ps/v103stringtable.ps}{STRTBL}{1.00} {\bf See}\\ @@ -125983,7 +127026,7 @@ \cross{STRTBL}{?.?} \end{tabular} -<>= +\begin{chunk}{domain STRTBL StringTable} )abbrev domain STRTBL StringTable ++ Author: Stephen M. Watt ++ Date Created: @@ -126002,13 +127045,13 @@ StringTable(Entry: SetCategory) == HashTable(String, Entry, "CVEC") -@ -<>= +\end{chunk} +\begin{chunk}{STRTBL.dotabb} "STRTBL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRTBL"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "STRTBL" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SUBSPACE SubSpace} @@ -126059,7 +127102,7 @@ which, in turn, has one child (the leaf). The new component is then a point. -<>= +\begin{chunk}{SubSpace.input} )set break resume )sys rm -f SubSpace.output )spool SubSpace.output @@ -126106,8 +127149,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SubSpace.help} ==================================================================== SubSpace examples ==================================================================== @@ -126115,7 +127158,7 @@ See Also: o )show SubSpace -@ +\end{chunk} \pagehead{SubSpace}{SUBSPACE} \pagepic{ps/v103subspace.ps}{SUBSPACE}{1.00} @@ -126160,7 +127203,7 @@ \cross{SUBSPACE}{?=?} && \end{tabular} -<>= +\begin{chunk}{domain SUBSPACE SubSpace} )abbrev domain SUBSPACE SubSpace ++ Author: Mark Botch ++ Description: @@ -126580,17 +127623,17 @@ (n - space.levelField)::O," and "::O,(s:=(#space.childrenField))::O, _ (s=1 => " component"::O;" components"::O)]) -@ -<>= +\end{chunk} +\begin{chunk}{SUBSPACE.dotabb} "SUBSPACE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SUBSPACE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "SUBSPACE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain COMPPROP SubSpaceComponentProperty} -<>= +\begin{chunk}{SubSpaceComponentProperty.input} )set break resume )sys rm -f SubSpaceComponentProperty.output )spool SubSpaceComponentProperty.output @@ -126617,8 +127660,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SubSpaceComponentProperty.help} ==================================================================== SubSpaceComponentProperty examples ==================================================================== @@ -126626,7 +127669,7 @@ See Also: o )show SubSpaceComponentProperty -@ +\end{chunk} \pagehead{SubSpaceComponentProperty}{COMPPROP} \pagepic{ps/v103subspacecomponentproperty.ps}{COMPPROP}{1.00} @@ -126649,7 +127692,7 @@ \cross{COMPPROP}{?=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain COMPPROP SubSpaceComponentProperty} )abbrev domain COMPPROP SubSpaceComponentProperty ++ Author: Mark Botch ++ Description: @@ -126695,19 +127738,19 @@ (closed? p => ""::O; "not "::O),"closed, "::O, _ (solid? p => ""::O; "not "::O),"solid"::O ]) -@ -<>= +\end{chunk} +\begin{chunk}{COMPPROP.dotabb} "COMPPROP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=COMPPROP"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "COMPPROP" -> "BASTYPE" "COMPPROP" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SUCH SuchThat} -<>= +\begin{chunk}{SuchThat.input} )set break resume )sys rm -f SuchThat.output )spool SuchThat.output @@ -126732,8 +127775,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SuchThat.help} ==================================================================== SuchThat examples ==================================================================== @@ -126741,7 +127784,7 @@ See Also: o )show SuchThat -@ +\end{chunk} \pagehead{SuchThat}{SUCH} \pagepic{ps/v103suchthat.ps}{SUCH}{1.00} @@ -126758,7 +127801,7 @@ \cross{SUCH}{?\~{}=?} && \end{tabular} -<>= +\begin{chunk}{domain SUCH SuchThat} )abbrev domain SUCH SuchThat ++ Author: Mark Botch ++ Description: @@ -126783,19 +127826,19 @@ rhs st == st.cond coerce(w):E == infix("|"::E, w.obj::E, w.cond::E) -@ -<>= +\end{chunk} +\begin{chunk}{SUCH.dotabb} "SUCH" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SUCH"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "SUCH" -> "BASTYPE" "SUCH" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SWITCH Switch} -<>= +\begin{chunk}{Switch.input} )set break resume )sys rm -f Switch.output )spool Switch.output @@ -126826,8 +127869,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Switch.help} ==================================================================== Switch examples ==================================================================== @@ -126835,7 +127878,7 @@ See Also: o )show Switch -@ +\end{chunk} \pagehead{Switch}{SWITCH} \pagepic{ps/v103switch.ps}{SWITCH}{1.00} @@ -126861,7 +127904,7 @@ \cross{SWITCH}{OR} \end{tabular} -<>= +\begin{chunk}{domain SWITCH Switch} )abbrev domain SWITCH Switch -- Because of a bug in the compiler: )bo $noSubsumption:=false @@ -126949,17 +127992,17 @@ EQ(r1:EXPR,r2:EXPR):% == [operator("EQ"::Symbol),[r1,r2]$List(EXPR)]$Rep -@ -<>= +\end{chunk} +\begin{chunk}{SWITCH.dotabb} "SWITCH" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SWITCH"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SWITCH" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SYMBOL Symbol} -<>= +\begin{chunk}{Symbol.input} )set break resume )sys rm -f Symbol.output )spool Symbol.output @@ -127167,8 +128210,8 @@ --E 24 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Symbol.help} ==================================================================== Symbol examples ==================================================================== @@ -127339,7 +128382,7 @@ See Also: o )show Symbol -@ +\end{chunk} \pagehead{Symbol}{SYMBOL} \pagepic{ps/v103symbol.ps}{SYMBOL}{1.00} @@ -127374,7 +128417,7 @@ \cross{SYMBOL}{?$>=$?} &&& \end{tabular} -<>= +\begin{chunk}{domain SYMBOL Symbol} )abbrev domain SYMBOL Symbol ++ Author: Stephen Watt ++ Date Created: 1986 @@ -127683,18 +128726,18 @@ sample() == "aSymbol"::% -@ -<>= +\end{chunk} +\begin{chunk}{SYMBOL.dotabb} "SYMBOL" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SYMBOL", shape=ellipse] "STRICAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=STRICAT"] "SYMBOL" -> "STRICAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SYMTAB SymbolTable} -<>= +\begin{chunk}{SymbolTable.input} )set break resume )sys rm -f SymbolTable.output )spool SymbolTable.output @@ -127725,8 +128768,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SymbolTable.help} ==================================================================== SymbolTable examples ==================================================================== @@ -127734,7 +128777,7 @@ See Also: o )show SymbolTable -@ +\end{chunk} \pagehead{SymbolTable}{SYMTAB} \pagepic{ps/v103symboltable.ps}{SYMTAB}{1.00} @@ -127758,7 +128801,7 @@ \cross{SYMTAB}{typeLists} &&&& \end{tabular} -<>= +\begin{chunk}{domain SYMTAB SymbolTable} )abbrev domain SYMTAB SymbolTable ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -127940,17 +128983,17 @@ fortFormatTypes("EXTERNAL"::OFORM,el)$Lisp void()$Void -@ -<>= +\end{chunk} +\begin{chunk}{SYMTAB.dotabb} "SYMTAB" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SYMTAB"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SYMTAB" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SYMPOLY SymmetricPolynomial} -<>= +\begin{chunk}{SymmetricPolynomial.input} )set break resume )sys rm -f SymmetricPolynomial.output )spool SymmetricPolynomial.output @@ -128018,8 +129061,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{SymmetricPolynomial.help} ==================================================================== SymmetricPolynomial examples ==================================================================== @@ -128027,7 +129070,7 @@ See Also: o )show SymmetricPolynomial -@ +\end{chunk} \pagehead{SymmetricPolynomial}{SYMPOLY} \pagepic{ps/v103symmetricpolynomial.ps}{SYMPOLY}{1.00} @@ -128086,7 +129129,7 @@ \cross{SYMPOLY}{?=?} &&& \end{tabular} -<>= +\begin{chunk}{domain SYMPOLY SymmetricPolynomial} )abbrev domain SYMPOLY SymmetricPolynomial ++ Author: Mark Botch ++ Description: @@ -128121,19 +129164,19 @@ -- This 'reverse' is an efficiency improvement: -- reduces both time and space [Abbott/Bradford/Davenport] -@ -<>= +\end{chunk} +\begin{chunk}{SYMPOLY.dotabb} "SYMPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SYMPOLY"] "FAMR" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAMR"] "SYMPOLY" -> "FAMR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter T} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TABLE Table} -<>= +\begin{chunk}{Table.input} )set break resume )sys rm -f Table.output )spool Table.output @@ -128286,8 +129329,8 @@ --E 18 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Table.help} ==================================================================== Table examples ==================================================================== @@ -128433,7 +129476,7 @@ o )help KeyedAccessFile o )show Table -@ +\end{chunk} \pagehead{Table}{TABLE} \pagepic{ps/v103table.ps}{TABLE}{1.00} {\bf See}\\ @@ -128505,7 +129548,7 @@ \cross{TABLE}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain TABLE Table} )abbrev domain TABLE Table ++ Author: Stephen M. Watt, Barry Trager ++ Date Created: 1985 @@ -128532,17 +129575,17 @@ if hashable(Key)$Lisp then HashTable(Key, Entry, "UEQUAL") else AssociationList(Key, Entry)) -@ -<>= +\end{chunk} +\begin{chunk}{TABLE.dotabb} "TABLE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TABLE"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "TABLE" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TABLEAU Tableau} -<>= +\begin{chunk}{Tableau.input} )set break resume )sys rm -f Tableau.output )spool Tableau.output @@ -128565,8 +129608,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Tableau.help} ==================================================================== Tableau examples ==================================================================== @@ -128574,7 +129617,7 @@ See Also: o )show Tableau -@ +\end{chunk} \pagehead{Tableau}{TABLEAU} \pagepic{ps/v103tableau.ps}{TABLEAU}{1.00} @@ -128586,7 +129629,7 @@ \cross{TABLEAU}{tableau} \end{tabular} -<>= +\begin{chunk}{domain TABLEAU Tableau} )abbrev domain TABLEAU Tableau ++ Author: William H. Burge ++ Date Created: 1987 @@ -128636,17 +129679,17 @@ coerce(x:%):OUT == maketab listOfLists x -@ -<>= +\end{chunk} +\begin{chunk}{TABLEAU.dotabb} "TABLEAU" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TABLEAU"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "TABLEAU" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TS TaylorSeries} -<>= +\begin{chunk}{TaylorSeries.input} )set break resume )sys rm -f TaylorSeries.output )spool TaylorSeries.output @@ -128759,8 +129802,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TaylorSeries.help} ==================================================================== TaylorSeries examples ==================================================================== @@ -128768,7 +129811,7 @@ See Also: o )show TaylorSeries -@ +\end{chunk} \pagehead{TaylorSeries}{TS} \pagepic{ps/v103taylorseries.ps}{TS}{1.00} @@ -128853,7 +129896,7 @@ \cross{TS}{?/?} & \end{tabular} -<>= +\begin{chunk}{domain TS TaylorSeries} )abbrev domain TS TaylorSeries ++ Authors: Burge, Watt, Williamson ++ Date Created: 15 August 1988 @@ -128904,15 +129947,15 @@ s:= rst s sum -@ -<>= +\end{chunk} +\begin{chunk}{TS.dotabb} "TS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TS"] "TRANFUN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TRANFUN"] "PSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PSCAT"] "TS" -> "PSCAT" "TS" -> "TRANFUN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TEX TexFormat} \subsection{product(product(i*j,i=a..b),j=c..d) fix} @@ -128941,15 +129984,15 @@ plexPrecs : L I := [ 700, 800, 700, 700]$(L I) \end{verbatim} it now reads: -<>= +\begin{chunk}{product(product(i*j,i=a..b),j=c..d) fix} plexOps : L S := ["SIGMA","SIGMA2","PI","PI2","INTSIGN","INDEFINTEGRAL"]$(L S) plexPrecs : L I := [ 700, 800, 700, 800 , 700, 700]$(L I) -@ +\end{chunk} in addition we need to add a line defining [[PI2]] in [[formatPlex]]: -<>= +\begin{chunk}{define PI2} op = "PI2" => "\prod" -@ -<>= +\end{chunk} +\begin{chunk}{TexFormat.input} )set break resume )sys rm -f TexFormat.output )spool TexFormat.output @@ -129069,8 +130112,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TexFormat.help} ==================================================================== TexFormat examples ==================================================================== @@ -129111,7 +130154,7 @@ See Also: o )show TexFormat -@ +\end{chunk} \pagehead{TexFormat}{TEX} \pagepic{ps/v103texformat.ps}{TEX}{1.00} @@ -129134,7 +130177,7 @@ \cross{TEX}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain TEX TexFormat} )abbrev domain TEX TexFormat ++ Author: Robert S. Sutor ++ Date Created: 1987 through 1992 @@ -129252,7 +130295,7 @@ 0, 0, 0]$(L I) naryNGOps : L S := ["ROW","&"]$(L S) -<> +\getchunk{product(product(i*j,i=a..b),j=c..d) fix} specialOps : L S := ["MATRIX","BRACKET","BRACE","CONCATB","VCONCAT", _ "AGGLST","CONCAT","OVERBAR","ROOT","SUB","TAG", _ @@ -129565,7 +130608,7 @@ op = "SIGMA" => "\sum" op = "SIGMA2" => "\sum" op = "PI" => "\prod" -<> +\getchunk{define PI2} op = "INTSIGN" => "\int" op = "INDEFINTEGRAL" => "\int" "????" @@ -129725,17 +130768,17 @@ op := formatTex(first l,minPrec) formatFunction(op,args,prec) -@ -<>= +\end{chunk} +\begin{chunk}{TEX.dotabb} "TEX" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TEX"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "TEX" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TEXTFILE TextFile} -<>= +\begin{chunk}{TextFile.input} )set break resume )sys rm -f TextFile.output )spool TextFile.output @@ -129824,8 +130867,8 @@ )system rm -f MOTD )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TextFile.help} ==================================================================== TextFile examples ==================================================================== @@ -129901,7 +130944,7 @@ o )help Library o )show TextFile -@ +\end{chunk} \pagehead{TextFile}{TEXTFILE} \pagepic{ps/v103textfile.ps}{TEXTFILE}{1.00} {\bf See}\\ @@ -129931,7 +130974,7 @@ \cross{TEXTFILE}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain TEXTFILE TextFile} )abbrev domain TEXTFILE TextFile ++ Author: Stephen M. Watt ++ Date Created: 1985 @@ -130017,17 +131060,17 @@ (EOFP(f.fileState)$Lisp pretend Boolean) => true false -@ -<>= +\end{chunk} +\begin{chunk}{TEXTFILE.dotabb} "TEXTFILE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TEXTFILE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "TEXTFILE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SYMS TheSymbolTable} -<>= +\begin{chunk}{TheSymbolTable.input} )set break resume )sys rm -f TheSymbolTable.output )spool TheSymbolTable.output @@ -130068,8 +131111,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TheSymbolTable.help} ==================================================================== TheSymbolTable examples ==================================================================== @@ -130077,7 +131120,7 @@ See Also: o )show TheSymbolTable -@ +\end{chunk} \pagehead{TheSymbolTable}{SYMS} \pagepic{ps/v103thesymboltable.ps}{SYMS}{1.00} @@ -130105,7 +131148,7 @@ \cross{SYMS}{symbolTableOf} \end{tabular} -<>= +\begin{chunk}{domain SYMS TheSymbolTable} )abbrev domain SYMS TheSymbolTable ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -130308,17 +131351,17 @@ printTypes(u:Symbol):Void == printTypes(elt(elt(theSymbolTable,u)$Rep,symtab)$Entry)$SymbolTable -@ -<>= +\end{chunk} +\begin{chunk}{SYMS.dotabb} "SYMS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SYMS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SYMS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain M3D ThreeDimensionalMatrix} -<>= +\begin{chunk}{ThreeDimensionalMatrix.input} )set break resume )sys rm -f ThreeDimensionalMatrix.output )spool ThreeDimensionalMatrix.output @@ -130373,8 +131416,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ThreeDimensionalMatrix.help} ==================================================================== ThreeDimensionalMatrix examples ==================================================================== @@ -130382,7 +131425,7 @@ See Also: o )show ThreeDimensionalMatrix -@ +\end{chunk} \pagehead{ThreeDimensionalMatrix}{M3D} \pagepic{ps/v103threedimensionalmatrix.ps}{M3D}{1.00} @@ -130430,7 +131473,7 @@ \cross{M3D}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain M3D ThreeDimensionalMatrix} )abbrev domain M3D ThreeDimensionalMatrix ++ Author: William Naylor ++ Date Created: 20 October 1993 @@ -130678,17 +131721,17 @@ resultMatrix -@ -<>= +\end{chunk} +\begin{chunk}{M3D.dotabb} "M3D" [color="#88FF44",href="bookvol10.3.pdf#nameddest=M3D"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "M3D" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain VIEW3D ThreeDimensionalViewport} -<>= +\begin{chunk}{ThreeDimensionalViewport.input} )set break resume )sys rm -f ThreeDimensionalViewport.output )spool ThreeDimensionalViewport.output @@ -130751,8 +131794,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ThreeDimensionalViewport.help} ==================================================================== ThreeDimensionalViewport examples ==================================================================== @@ -130760,7 +131803,7 @@ See Also: o )show ThreeDimensionalViewport -@ +\end{chunk} \pagehead{ThreeDimensionalViewport}{VIEW3D} \pagepic{ps/v103threedimensionalviewport.ps}{VIEW3D}{1.00} @@ -130810,7 +131853,7 @@ \cross{VIEW3D}{?\~{}=?} &&&& \end{tabular} -<>= +\begin{chunk}{domain VIEW3D ThreeDimensionalViewport} )abbrev domain VIEW3D ThreeDimensionalViewport ++ Author: Jim Wen ++ Date Created: 28 April 1989 @@ -131758,17 +132801,17 @@ -- checkViewport viewport => -- getI(VIEW)$Lisp -- acknowledge -@ -<>= +\end{chunk} +\begin{chunk}{VIEW3D.dotabb} "VIEW3D" [color="#88FF44",href="bookvol10.3.pdf#nameddest=VIEW3D"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "VIEW3D" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain SPACE3 ThreeSpace} -<>= +\begin{chunk}{ThreeSpace.input} )set break resume )sys rm -f ThreeSpace.output )spool ThreeSpace.output @@ -131825,8 +132868,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ThreeSpace.help} ==================================================================== ThreeSpace examples ==================================================================== @@ -131834,7 +132877,7 @@ See Also: o )show ThreeSpace -@ +\end{chunk} \pagehead{ThreeSpace}{SPACE3} \pagepic{ps/v103threespace.ps}{SPACE3}{1.00} @@ -131875,7 +132918,7 @@ \cross{SPACE3}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain SPACE3 ThreeSpace} )abbrev domain SPACE3 ThreeSpace ++ Author: Mark Botch ++ Date Created: @@ -132219,17 +133262,17 @@ (sizo:=#(s.rep3DField.llliPt))::O, _ (sizo=1=>" component"::O;" components"::O)]) -@ -<>= +\end{chunk} +\begin{chunk}{SPACE3.dotabb} "SPACE3" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SPACE3"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "SPACE3" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TREE Tree} -<>= +\begin{chunk}{Tree.input} )set break resume )sys rm -f Tree.output )spool Tree.output @@ -132287,8 +133330,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Tree.help} ==================================================================== Tree examples ==================================================================== @@ -132296,7 +133339,7 @@ See Also: o )show Tree -@ +\end{chunk} \pagehead{Tree}{TREE} \pagepic{ps/v103tree.ps}{TREE}{1.00} @@ -132352,7 +133395,7 @@ \cross{TREE}{?.value} &&&& \end{tabular} -<>= +\begin{chunk}{domain TREE Tree} )abbrev domain TREE Tree ++ Author:W. H. Burge ++ Date Created:17 Feb 1992 @@ -132688,17 +133731,17 @@ cons(x, v) eqUnion(rest u, newV) -@ -<>= +\end{chunk} +\begin{chunk}{TREE.dotabb} "TREE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TREE"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "TREE" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TUBE TubePlot} -<>= +\begin{chunk}{TubePlot.input} )set break resume )sys rm -f TubePlot.output )spool TubePlot.output @@ -132724,8 +133767,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TubePlot.help} ==================================================================== TubePlot examples ==================================================================== @@ -132733,7 +133776,7 @@ See Also: o )show TubePlot -@ +\end{chunk} \pagehead{TubePlot}{TUBE} \pagepic{ps/v103tubeplot.ps}{TUBE}{1.00} @@ -132748,7 +133791,7 @@ \cross{TUBE}{tube} \end{tabular} -<>= +\begin{chunk}{domain TUBE TubePlot} )abbrev domain TUBE TubePlot ++ Author: Clifton J. Williamson ++ Date Created: Bastille Day 1989 @@ -132802,19 +133845,19 @@ tube(curve,ll,b) == [curve,ll,b] -@ -<>= +\end{chunk} +\begin{chunk}{TUBE.dotabb} "TUBE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TUBE"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "TUBE" -> "FIELD" "TUBE" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain TUPLE Tuple} -<>= +\begin{chunk}{Tuple.input} )set break resume )sys rm -f Tuple.output )spool Tuple.output @@ -132843,8 +133886,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Tuple.help} ==================================================================== Tuple examples ==================================================================== @@ -132852,7 +133895,7 @@ See Also: o )show Tuple -@ +\end{chunk} \pagehead{Tuple}{TUPLE} \pagepic{ps/v103tuple.ps}{TUPLE}{1.00} @@ -132874,7 +133917,7 @@ \cross{TUPLE}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain TUPLE Tuple} )abbrev domain TUPLE Tuple ++ Author: Mark Botch ++ Description: @@ -132921,19 +133964,19 @@ paren [(x.elts.i)::OutputForm for i in minIndex x.elts .. maxIndex x.elts]$List(OutputForm) -@ -<>= +\end{chunk} +\begin{chunk}{TUPLE.dotabb} "TUPLE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=TUPLE"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "A1AGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=A1AGG"] "TUPLE" -> "A1AGG" "TUPLE" -> "A1AGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ARRAY2 TwoDimensionalArray} -<>= +\begin{chunk}{TwoDimensionalArray.input} )set break resume )sys rm -f TwoDimensionalArray.output )spool TwoDimensionalArray.output @@ -133165,8 +134208,8 @@ --E 20 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{TwoDimensionalArray.help} ==================================================================== TwoDimensionalArray examples ==================================================================== @@ -133378,7 +134421,7 @@ o )help OneDimensionalArray o )show TwoDimensionalArray -@ +\end{chunk} \pagehead{TwoDimensionalArray}{ARRAY2} \pagepic{ps/v103twodimensionalarray.ps}{ARRAY2}{1.00} {\bf See}\\ @@ -133428,7 +134471,7 @@ \cross{ARRAY2}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain ARRAY2 TwoDimensionalArray} )abbrev domain ARRAY2 TwoDimensionalArray ++ Author: Mark Botch ++ Description: @@ -133446,19 +134489,19 @@ Implementation ==> InnerIndexedTwoDimensionalArray(R,1,1,Row,Col) -@ -<>= +\end{chunk} +\begin{chunk}{ARRAY2.dotabb} "ARRAY2" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ARRAY2"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "ARR2CAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ARR2CAT"] "ARRAY2" -> "ARR2CAT" "ARRAY2" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain VIEW2D TwoDimensionalViewport} -<>= +\begin{chunk}{TwoDimensionalViewport.help} ==================================================================== TwoDimensionalViewport examples ==================================================================== @@ -133697,7 +134740,7 @@ See Also: o )show TwoDimensionalViewport -@ +\end{chunk} \pagehead{TwoDimensionalViewport}{VIEW2D} \pagepic{ps/v103twodimensionalviewport.ps}{VIEW2D}{1.00} @@ -133737,7 +134780,7 @@ \cross{VIEW2d}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain VIEW2D TwoDimensionalViewport} )abbrev domain VIEW2D TwoDimensionalViewport ++ Author: Jim Wen ++ Date Created: 28 April 1989 @@ -134382,19 +135425,19 @@ getI(VIEW)$Lisp -- acknowledge Filename -@ -<>= +\end{chunk} +\begin{chunk}{VIEW2D.dotabb} "VIEW2D" [color="#88FF44",href="bookvol10.3.pdf#nameddest=VIEW2D"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "VIEW2D" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter U} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UFPS UnivariateFormalPowerSeries} -<>= +\begin{chunk}{UnivariateFormalPowerSeries.input} )set break resume )sys rm -f UnivariateFormalPowerSeries.output )spool UnivariateFormalPowerSeries.output @@ -134525,8 +135568,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateFormalPowerSeries.help} ==================================================================== UnivariateFormalPowerSeries examples ==================================================================== @@ -134534,7 +135577,7 @@ See Also: o )show UnivariateFormalPowerSeries -@ +\end{chunk} \pagehead{UnivariateFormalPowerSeries}{UFPS} \pagepic{ps/v103univariateformalpowerseries.ps}{UFPS}{1.00} @@ -134636,7 +135679,7 @@ \cross{UFPS}{?.?} &&& \end{tabular} -<>= +\begin{chunk}{domain UFPS UnivariateFormalPowerSeries} )abbrev domain UFPS UnivariateFormalPowerSeries ++ Author: Mark Botch ++ Description: @@ -134645,17 +135688,17 @@ UnivariateFormalPowerSeries(Coef: Ring) == UnivariateTaylorSeries(Coef, 'x, 0$Coef) -@ -<>= +\end{chunk} +\begin{chunk}{UFPS.dotabb} "UFPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UFPS"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "UFPS" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ULS UnivariateLaurentSeries} -<>= +\begin{chunk}{UnivariateLaurentSeries.input} )set break resume )sys rm -f UnivariateLaurentSeries.output )spool UnivariateLaurentSeries.output @@ -134863,8 +135906,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateLaurentSeries.help} ==================================================================== UnivariateLaurentSeries examples ==================================================================== @@ -134872,7 +135915,7 @@ See Also: o )show UnivariateLaurentSeries -@ +\end{chunk} \pagehead{UnivariateLaurentSeries}{ULS} \pagepic{ps/v103univariatelaurentseries.ps}{ULS}{1.00} @@ -135021,7 +136064,7 @@ \cross{ULS}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain ULS UnivariateLaurentSeries} )abbrev domain ULS UnivariateLaurentSeries ++ Author: Clifton J. Williamson ++ Date Created: 18 January 1990 @@ -135077,17 +136120,17 @@ if Coef has Algebra Fraction Integer then integrate(x:%,v:Variable(var)) == integrate x -@ -<>= +\end{chunk} +\begin{chunk}{ULS.dotabb} "ULS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ULS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "ULS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ULSCONS UnivariateLaurentSeriesConstructor} -<>= +\begin{chunk}{UnivariateLaurentSeriesConstructor.input} )set break resume )sys rm -f UnivariateLaurentSeriesConstructor.output )spool UnivariateLaurentSeriesConstructor.output @@ -135290,8 +136333,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateLaurentSeriesConstructor.help} ==================================================================== UnivariateLaurentSeriesConstructor examples ==================================================================== @@ -135299,7 +136342,7 @@ See Also: o )show UnivariateLaurentSeriesConstructor -@ +\end{chunk} \pagehead{UnivariateLaurentSeriesConstructor}{ULSCONS} \pagepic{ps/v103univariatelaurentseriesconstructor.ps}{ULSCONS}{1.00} @@ -135445,7 +136488,7 @@ \cross{ULSCONS}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain ULSCONS UnivariateLaurentSeriesConstructor} )abbrev domain ULSCONS UnivariateLaurentSeriesConstructor ++ Authors: Bill Burge, Clifton J. Williamson ++ Date Created: August 1988 @@ -135897,19 +136940,19 @@ paren(var :: OUT - cen :: OUT) termsToOutputForm(m,p,xxx) -@ -<>= +\end{chunk} +\begin{chunk}{ULSCONS.dotabb} "ULSCONS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ULSCONS"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "ULSCONS" -> "ULSCCAT" "ULSCONS" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UP UnivariatePolynomial} -<>= +\begin{chunk}{UnivariatePolynomial.input} )set break resume )sys rm -f UnivariatePolynomial.output )spool UnivariatePolynomial.output @@ -136236,8 +137279,8 @@ --E 35 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePolynomial.help} ==================================================================== UnivariatePolynomial examples ==================================================================== @@ -136535,7 +137578,7 @@ o )help DistributedMultivariatePolynomial o )show UnivariatePolynomial -@ +\end{chunk} \pagehead{UnivariatePolynomial}{UP} \pagepic{ps/v103univariatepolynomial.ps}{UP}{1.00} {\bf See}\\ @@ -136661,7 +137704,7 @@ \cross{UP}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain UP UnivariatePolynomial} )abbrev domain UP UnivariatePolynomial ++ Author: Mark Botch ++ Date Created: @@ -136692,17 +137735,17 @@ coerce(p:%):OutputForm == outputForm(p, outputForm x) coerce(v:Variable(x)):% == monomial(1, 1) -@ -<>= +\end{chunk} +\begin{chunk}{UP.dotabb} "UP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UPXS UnivariatePuiseuxSeries} -<>= +\begin{chunk}{UnivariatePuiseuxSeries.input} )set break resume )sys rm -f UnivariatePuiseuxSeries.output )spool UnivariatePuiseuxSeries.output @@ -136855,8 +137898,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePuiseuxSeries.help} ==================================================================== UnivariatePuiseuxSeries examples ==================================================================== @@ -136864,7 +137907,7 @@ See Also: o )show UnivariatePuiseuxSeries -@ +\end{chunk} \pagehead{UnivariatePuiseuxSeries}{UPXS} \pagepic{ps/v103univariatepuiseuxseries.ps}{UPXS}{1.00} @@ -136979,7 +138022,7 @@ \cross{UPXS}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain UPXS UnivariatePuiseuxSeries} )abbrev domain UPXS UnivariatePuiseuxSeries ++ Author: Clifton J. Williamson ++ Date Created: 28 January 1990 @@ -137139,17 +138182,17 @@ paren(var :: OUT - cen :: OUT) termsToOutputForm(m,rat,p,xxx) -@ -<>= +\end{chunk} +\begin{chunk}{UPXS.dotabb} "UPXS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UPXS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "UPXS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UPXSCONS UnivariatePuiseuxSeriesConstructor} -<>= +\begin{chunk}{UnivariatePuiseuxSeriesConstructor.input} )set break resume )sys rm -f UnivariatePuiseuxSeriesConstructor.output )spool UnivariatePuiseuxSeriesConstructor.output @@ -137295,8 +138338,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePuiseuxSeriesConstructor.help} ==================================================================== UnivariatePuiseuxSeriesConstructor examples ==================================================================== @@ -137304,7 +138347,7 @@ See Also: o )show UnivariatePuiseuxSeriesConstructor -@ +\end{chunk} \pagehead{UnivariatePuiseuxSeriesConstructor}{UPXSCONS} \pagepic{ps/v103univariatepuiseuxseriesconstructor.ps}{UPXSCONS}{1.00} @@ -137419,7 +138462,7 @@ \cross{UPXSCONS}{?rem?} \end{tabular} -<>= +\begin{chunk}{domain UPXSCONS UnivariatePuiseuxSeriesConstructor} )abbrev domain UPXSCONS UnivariatePuiseuxSeriesConstructor ++ Author: Clifton J. Williamson ++ Date Created: 9 May 1989 @@ -137768,17 +138811,17 @@ asech upxs == applyUnary(asech,upxs) acsch upxs == applyUnary(acsch,upxs) -@ -<>= +\end{chunk} +\begin{chunk}{UPXSCONS.dotabb} "UPXSCONS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UPXSCONS"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "UPXSCONS" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UPXSSING UnivariatePuiseuxSeriesWithExponentialSingularity} -<>= +\begin{chunk}{UnivariatePuiseuxSeriesWithExponentialSingularity.input} )set break resume )sys rm -f UnivariatePuiseuxSeriesWithExponentialSingularity.output )spool UnivariatePuiseuxSeriesWithExponentialSingularity.output @@ -137851,8 +138894,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariatePuiseuxSeriesWithExponentialSingularity.help} ==================================================================== UnivariatePuiseuxSeriesWithExponentialSingularity examples ==================================================================== @@ -137860,7 +138903,7 @@ See Also: o )show UnivariatePuiseuxSeriesWithExponentialSingularity -@ +\end{chunk} \pagehead{UnivariatePuiseuxSeriesWithExponentialSingularity}{UPXSSING} \pagepic{ps/v103univariatepuiseuxserieswithexponentialsingularity.ps}{UPXSSING}{1.00} @@ -137920,7 +138963,7 @@ \cross{UPXSSING}{?/?} && \end{tabular} -<>= +\begin{chunk}{domain UPXSSING UnivariatePuiseuxSeriesWithExponentialSingularity} )abbrev domain UPXSSING UnivariatePuiseuxSeriesWithExponentialSingularity ++ Author: Clifton J. Williamson ++ Date Created: 4 August 1992 @@ -138199,19 +139242,19 @@ (signum :: Integer) = 1 => plusInfinity() minusInfinity() -@ -<>= +\end{chunk} +\begin{chunk}{UPXSSING.dotabb} "UPXSSING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UPXSSING"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "UPXSSING" -> "ACF" "UPXSSING" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain OREUP UnivariateSkewPolynomial} -<>= +\begin{chunk}{UnivariateSkewPolynomial.input} )set break resume )sys rm -f UnivariateSkewPolynomial.output )spool UnivariateSkewPolynomial.output @@ -138600,8 +139643,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateSkewPolynomial.help} ==================================================================== UnivariateSkewPolynomial examples ==================================================================== @@ -138888,7 +139931,7 @@ o )show UnivariateSkewPolynomialCategory o )show SquareMatrix -@ +\end{chunk} \pagehead{UnivariateSkewPolynomial}{OREUP} \pagepic{ps/v103univariateskewpolynomial.ps}{OREUP}{1.00} {\bf See}\\ @@ -138947,7 +139990,7 @@ \cross{OREUP}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain OREUP UnivariateSkewPolynomial} )abbrev domain OREUP UnivariateSkewPolynomial ++ Author: Manuel Bronstein ++ Date Created: 19 October 1993 @@ -138966,17 +140009,17 @@ coerce(v:Variable(x)):% == monomial(1, 1) coerce(p:%):OutputForm == outputForm(p, outputForm x)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{OREUP.dotabb} "OREUP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=OREUP"] "OREPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OREPCAT"] "OREUP" -> "OREPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UTS UnivariateTaylorSeries} -<>= +\begin{chunk}{UnivariateTaylorSeries.input} )set break resume )sys rm -f UnivariateTaylorSeries.output )spool UnivariateTaylorSeries.output @@ -139107,8 +140150,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateTaylorSeries.help} ==================================================================== UnivariateTaylorSeries examples ==================================================================== @@ -139116,7 +140159,7 @@ See Also: o )show UnivariateTaylorSeries -@ +\end{chunk} \pagehead{UnivariateTaylorSeries}{UTS} \pagepic{ps/v103univariatetaylorseries.ps}{UTS}{1.00} @@ -139219,7 +140262,7 @@ \cross{UTS}{?.?} \end{tabular} -<>= +\begin{chunk}{domain UTS UnivariateTaylorSeries} )abbrev domain UTS UnivariateTaylorSeries ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 @@ -139484,17 +140527,17 @@ --% OutputForms -- We use the default coerce: % -> OutputForm in UTSCAT& -@ -<>= +\end{chunk} +\begin{chunk}{UTS.dotabb} "UTS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UTS"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "UTS" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UTSZ UnivariateTaylorSeriesCZero} -<>= +\begin{chunk}{UnivariateTaylorSeriesCZero.input} )set break resume )sys rm -f UnivariateTaylorSeriesCZero.output )spool UnivariateTaylorSeriesCZero.output @@ -139625,8 +140668,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UnivariateTaylorSeriesCZero.help} ==================================================================== UnivariateTaylorSeriesCZero examples ==================================================================== @@ -139634,7 +140677,7 @@ See Also: o )show UnivariateTaylorSeriesCZero -@ +\end{chunk} \pagehead{UnivariateTaylorSeriesCZero}{UTSZ} \pagepic{ps/v103univariatetaylorseriesczero.ps}{UTSZ}{1.00} {\bf See}\\ @@ -139737,7 +140780,7 @@ \cross{UTSZ}{?\^{}?} \end{tabular} -<>= +\begin{chunk}{domain UTSZ UnivariateTaylorSeriesCZero} )abbrev domain UTSZ UnivariateTaylorSeriesCZero ++ Author: Gaetan Hache ++ Date Created: September 1996 @@ -139975,17 +141018,17 @@ (s = variable(x)) => integrate x map(integrateWithOneAnswer(#1,s),x) -@ -<>= +\end{chunk} +\begin{chunk}{UTSZ.dotabb} "UTSZ" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UTSZ"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "UTSZ" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain UNISEG UniversalSegment} -<>= +\begin{chunk}{UniversalSegment.input} )set break resume )sys rm -f UniversalSegment.output )spool UniversalSegment.output @@ -140065,8 +141108,8 @@ --E 9 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{UniversalSegment.help} ==================================================================== UniversalSegment examples ==================================================================== @@ -140126,7 +141169,7 @@ o )help Stream o )show UniversalSegment -@ +\end{chunk} \pagehead{UniversalSegment}{UNISEG} \pagepic{ps/v103universalsegment.ps}{UNISEG}{1.00} {\bf See}\\ @@ -140156,7 +141199,7 @@ \cross{UNISEG}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain UNISEG UniversalSegment} )abbrev domain UNISEG UniversalSegment ++ Author: Robert S. Sutor ++ Date Created: 1987 @@ -140281,17 +141324,17 @@ st: Stream S := empty() concat(construct expand(lb), st) -@ -<>= +\end{chunk} +\begin{chunk}{UNISEG.dotabb} "UNISEG" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UNISEG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "UNISEG" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain U32VEC U32Vector} -<>= +\begin{chunk}{U32Vector.input} )set break resume )sys rm -f U32Vector.output )spool U32Vector.output @@ -140386,8 +141429,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{U32Vector.help} ==================================================================== U32Vector examples ==================================================================== @@ -140395,7 +141438,7 @@ See Also: o )show U32Vector -@ +\end{chunk} \pagehead{U32Vector}{U32VEC} \pagepic{ps/v103u32vector.eps}{U32VEC}{1.00} {\bf See}\\ @@ -140469,7 +141512,7 @@ \cross{U32VEC}{swap!} && \end{tabular} -<>= +\begin{chunk}{domain U32VEC U32Vector} )abbrev domain U32VEC U32Vector ++ Author: Waldek Hebisch ++ Description: This is a low-level domain which implements vectors @@ -140480,7 +141523,7 @@ Qsize ==> QV32LEN$Lisp Qelt ==> ELT32$Lisp Qsetelt ==> SETELT32$Lisp - Qnew ==> GETREFV32$Lisp + Qnew ==> MAKE_-ARRAY32$Lisp #x == Qsize x minIndex x == 0 @@ -140492,19 +141535,19 @@ setelt(x:%, i:Integer, s:Integer) == Qsetelt(x, i, s) fill_!(x, s) == (for i in 0..((Qsize x) - 1) repeat Qsetelt(x, i, s); x) -@ -<>= +\end{chunk} +\begin{chunk}{U32VEC.dotabb} "U32VEC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=U32VEC"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "U32VEC" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter V} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain VARIABLE Variable} -<>= +\begin{chunk}{Variable.input} )set break resume )sys rm -f Variable.output )spool Variable.output @@ -140529,8 +141572,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Variable.help} ==================================================================== Variable examples ==================================================================== @@ -140538,7 +141581,7 @@ See Also: o )show Variable -@ +\end{chunk} \pagehead{Variable}{VARIABLE} \pagepic{ps/v103variable.ps}{VARIABLE}{1.00} @@ -140553,7 +141596,7 @@ \cross{VARIABLE}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain VARIABLE Variable} )abbrev domain VARIABLE Variable ++ Author: Mark Botch ++ Description: @@ -140571,17 +141614,17 @@ x = y == true latex(x:%):String == latex sym -@ -<>= +\end{chunk} +\begin{chunk}{VARIABLE.dotabb} "VARIABLE" [color="#88FF44",href="bookvol10.3.pdf#nameddest=VARIABLE"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "VARIABLE" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain VECTOR Vector} -<>= +\begin{chunk}{Vector.input} )set break resume )sys rm -f Vector.output )spool Vector.output @@ -140677,8 +141720,8 @@ --E 11 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Vector.help} ==================================================================== Vector examples ==================================================================== @@ -140774,7 +141817,7 @@ o )help TwoDimensionalArray o )show Vector -@ +\end{chunk} \pagehead{Vector}{VECTOR} \pagepic{ps/v103vector.ps}{VECTOR}{1.00} @@ -140856,7 +141899,7 @@ \cross{VECTOR}{?.?} & \end{tabular} -<>= +\begin{chunk}{domain VECTOR Vector} )abbrev domain VECTOR Vector ++ Author: Mark Botch ++ Date Created: @@ -140885,18 +141928,18 @@ convert [convert("vector"::Symbol)@InputForm, convert(parts x)@InputForm] -@ -<>= +\end{chunk} +\begin{chunk}{VECTOR.dotabb} "VECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=VECTOR", shape=ellipse] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "VECTOR" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain VOID Void} -<>= +\begin{chunk}{Void.input} )set break resume )sys rm -f Void.output )spool Void.output @@ -140947,8 +141990,8 @@ --E 5 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Void.help} ==================================================================== Void examples ==================================================================== @@ -140990,7 +142033,7 @@ See Also: o )show Void -@ +\end{chunk} \pagehead{Void}{VOID} \pagepic{ps/v103void.ps}{VOID}{1.00} @@ -141000,7 +142043,7 @@ \cross{VOID}{void} \end{tabular} -<>= +\begin{chunk}{domain VOID Void} )abbrev domain VOID Void -- These types act as the top and bottom of the type lattice -- and are known to the compiler and interpreter for type resolution. @@ -141030,19 +142073,19 @@ void() == voidValue()$Lisp coerce(v:%) == coerce(v)$Rep -@ -<>= +\end{chunk} +\begin{chunk}{VOID.dotabb} "VOID" [color="#88FF44",href="bookvol10.3.pdf#nameddest=VOID"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "VOID" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter W} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain WP WeightedPolynomials} -<>= +\begin{chunk}{WeightedPolynomials.input} )set break resume )sys rm -f WeightedPolynomials.output )spool WeightedPolynomials.output @@ -141084,8 +142127,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{WeightedPolynomials.help} ==================================================================== WeightedPolynomials examples ==================================================================== @@ -141093,7 +142136,7 @@ See Also: o )show WeightedPolynomials -@ +\end{chunk} \pagehead{WeightedPolynomials}{WP} \pagepic{ps/v103weightedpolynomials.ps}{WP}{1.00} @@ -141125,7 +142168,7 @@ \cross{WP}{?=?} & \end{tabular} -<>= +\begin{chunk}{domain WP WeightedPolynomials} )abbrev domain WP WeightedPolynomials ++ Author: James Davenport ++ Date Created: 17 April 1992 @@ -141229,17 +142272,17 @@ w:=reductum w w -@ -<>= +\end{chunk} +\begin{chunk}{WP.dotabb} "WP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=WP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "WP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain WUTSET WuWenTsunTriangularSet} -<>= +\begin{chunk}{WuWenTsunTriangularSet.input} )set break resume )sys rm -f WuWenTsunTriangularSet.output )spool WuWenTsunTriangularSet.output @@ -141388,8 +142431,8 @@ --E 16 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{WuWenTsunTriangularSet.help} ==================================================================== WuWenTsunTriangularSet examples ==================================================================== @@ -141548,7 +142591,7 @@ o )help ZeroDimensionalSolvePackage o )show WuWenTsunTriangularSet -@ +\end{chunk} \pagehead{WuWenTsunTriangularSet}{WUTSET} \pagepic{ps/v103wuwentsuntriangularset.ps}{WUTSET}{1.00} {\bf See}\\ @@ -141640,7 +142683,7 @@ \cross{WUTSET}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain WUTSET WuWenTsunTriangularSet} )abbrev domain WUTSET WuWenTsunTriangularSet ++ Author: Marc Moreno Maza (marc@nag.co.uk) ++ Date Created: 11/18/1995 @@ -141882,13 +142925,13 @@ lts : List $ := characteristicSerie(lp,initiallyReduced?,initiallyReduce) sort(infRittWu?, removeDuplicates lts) -@ -<>= +\end{chunk} +\begin{chunk}{WUTSET.dotabb} "WUTSET" [color="#88FF44",href="bookvol10.3.pdf#nameddest=WUTSET"] "RPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RPOLCAT"] "WUTSET" -> "RPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter X} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -141902,7 +142945,7 @@ equivalent for the {\bf DistributedMultivariatePolynomial} constructor. -<>= +\begin{chunk}{XDistributedPolynomial.input} )set break resume )sys rm -f XDistributedPolynomial.output )spool XDistributedPolynomial.output @@ -141969,8 +143012,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XDistributedPolynomial.help} ==================================================================== XDistributedPolynomial examples ==================================================================== @@ -141978,7 +143021,7 @@ See Also: o )show XDistributedPolynomial -@ +\end{chunk} \pagehead{XDistributedPolynomial}{XDPOLY} \pagepic{ps/v103xdistributedpolynomial.ps}{XDPOLY}{1.00} @@ -142035,7 +143078,7 @@ \cross{XDPOLY}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain XDPOLY XDistributedPolynomial} )abbrev domain XDPOLY XDistributedPolynomial ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -142140,17 +143183,17 @@ p.first.k < q.first.k => coef(p,q.rest) return p.first.c * q.first.c + coef(p.rest,q.rest) -@ -<>= +\end{chunk} +\begin{chunk}{XDPOLY.dotabb} "XDPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=XDPOLY"] "XPOLYC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=XPOLYC"] "XDPOLY" -> "XPOLYC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain XPBWPOLY XPBWPolynomial} -<>= +\begin{chunk}{XPBWPolynomial.input} )set break resume )sys rm -f XPBWPolynomial.output )spool XPBWPolynomial.output @@ -142642,8 +143685,8 @@ --E 39 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XPBWPolynomial.help} ==================================================================== XPBWPolynomial examples ==================================================================== @@ -142987,7 +144030,7 @@ See Also: o )show XPBWPolynomial -@ +\end{chunk} \pagehead{XPBWPolynomial}{XPBWPOLY} \pagepic{ps/v103xpbwpolynomial.ps}{XPBWPOLY}{1.00} @@ -143047,7 +144090,7 @@ \cross{XPBWPOLYL}{?\~{}=?} \end{tabular} -<>= +\begin{chunk}{domain XPBWPOLY XPBWPolynomial} )abbrev domain XPBWPOLY XPBWPolynomial ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -143278,17 +144321,17 @@ mirror p == +/ [t.c * mirror1(t.k) for t in p] -@ -<>= +\end{chunk} +\begin{chunk}{XPBWPOLY.dotabb} "XPBWPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=XPBWPOLY"] "XPOLYC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=XPOLYC"] "XPBWPOLY" -> "XPOLYC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain XPOLY XPolynomial} -<>= +\begin{chunk}{XPolynomial.input} )set break resume )sys rm -f XPolynomial.output )spool XPolynomial.output @@ -143419,8 +144462,8 @@ --E 14 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XPolynomial.help} ==================================================================== XPolynomial examples ==================================================================== @@ -143539,7 +144582,7 @@ o )help XPolynomialRing o )show XPolynomial -@ +\end{chunk} \pagehead{XPolynomial}{XPOLY} \pagepic{ps/v103xpolynomial.ps}{XPOLY}{1.00} @@ -143589,7 +144632,7 @@ \cross{XPOLY}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain XPOLY XPolynomial} )abbrev domain XPOLY XPolynomial ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -143610,17 +144653,17 @@ XPolynomial(R:Ring) == XRecursivePolynomial(Symbol, R) -@ -<>= +\end{chunk} +\begin{chunk}{XPOLY.dotabb} "XPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=XPOLY"] "XPOLYC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=XPOLYC"] "XPOLY" -> "XPOLYC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain XPR XPolynomialRing} -<>= +\begin{chunk}{XPolynomialRing.input} )set break resume )sys rm -f XPolynomialRing.output )spool XPolynomialRing.output @@ -143815,8 +144858,8 @@ --E 15 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XPolynomialRing.help} ==================================================================== XPolynomialRing examples ==================================================================== @@ -144002,7 +145045,7 @@ o )help XPolynomial o )show XPolynomialRing -@ +\end{chunk} \pagehead{XPolynomialRing}{XPR} \pagepic{ps/v103xpolynomialring.ps}{XPR}{1.00} @@ -144051,7 +145094,7 @@ \cross{XPR}{?\~{}=?} & \end{tabular} -<>= +\begin{chunk}{domain XPR XPolynomialRing} )abbrev domain XPR XPolynomialRing ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -144207,8 +145250,8 @@ if R has Field then x/r == inv(r)*x -@ -<>= +\end{chunk} +\begin{chunk}{XPR.dotabb} "XPR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=XPR"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] @@ -144217,11 +145260,11 @@ "XPR" -> "FLAGG-" "XPR" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain XRPOLY XRecursivePolynomial} -<>= +\begin{chunk}{XRecursivePolynomial.input} )set break resume )sys rm -f XRecursivePolynomial.output )spool XRecursivePolynomial.output @@ -144283,8 +145326,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{XRecursivePolynomial.help} ==================================================================== XRecursivePolynomial examples ==================================================================== @@ -144292,7 +145335,7 @@ See Also: o )show XRecursivePolynomial -@ +\end{chunk} Polynomial arithmetic with non-commutative variables has been improved by a contribution of Michel Petitot (University of Lille I, France). @@ -144348,7 +145391,7 @@ \cross{XRPOLY}{?\~{}=?} &&& \end{tabular} -<>= +\begin{chunk}{domain XRPOLY XRecursivePolynomial} )abbrev domain XRPOLY XRecursivePolynomial ++ Author: Michel Petitot petitot@lifl.fr ++ Date Created: 91 @@ -144631,13 +145674,13 @@ lv:= setUnion(lv,[t.k for t in listOfTerms p.reg]) sort_!(lv) -@ -<>= +\end{chunk} +\begin{chunk}{XRPOLY.dotabb} "XRPOLY" [color="#88FF44",href="bookvol10.3.pdf#nameddest=XRPOLY"] "XPOLYC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=XPOLYC"] "XRPOLY" -> "XPOLYC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter Y} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -144657,7 +145700,7 @@ we can write into the {\bf MID} directory. We compile the lisp code and copy the {\bf BOOLEAN.o} file to the {\bf OUT} directory. This is eventually forcibly replaced by a recompiled version. -<>= +\begin{chunk}{BOOLEAN.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -144814,7 +145857,7 @@ (RETURN (PROGN (LETT |dv$| '(|Boolean|) |Boolean|) - (LETT $ (GETREFV 41) |Boolean|) + (LETT $ (make-array 41) |Boolean|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |Boolean|)) @@ -144822,9 +145865,9 @@ (|stuffDomainSlots| $) $)))) -(MAKEPROP +(setf (get (QUOTE |Boolean|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL @@ -144898,9 +145941,9 @@ 0 6 0 0 1 2 0 6 0 0 22 2 0 0 0 0 14)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |Boolean|) (QUOTE NILADIC) T) +(setf (get (QUOTE |Boolean|) (QUOTE NILADIC)) T) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{CHAR.lsp BOOTSTRAP} {\bf CHAR} depends on a chain of @@ -144912,7 +145955,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{CHAR.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -145023,7 +146066,7 @@ (RETURN (SEQ (PROGN (LETT |dv$| '(|Character|) |Character|) - (LETT $ (GETREFV 53) |Character|) + (LETT $ (make-array 53) |Character|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |Character|)) @@ -145046,7 +146089,7 @@ (QSETREFV $ 11 0) $))))) -(MAKEPROP (QUOTE |Character|) (QUOTE |infovec|) +(setf (get (QUOTE |Character|) (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (QUOTE |Rep|) (|List| 28) (|PrimitiveArray| 28) (0 . |construct|) (QUOTE |OutChars|) (QUOTE |minChar|) (|Boolean|) @@ -145085,8 +146128,8 @@ 1 2 0 12 0 0 1 2 0 12 0 0 13 2 0 12 0 0 1 2 0 12 0 0 14)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |Character|) (QUOTE NILADIC) T) -@ +(setf (get (QUOTE |Character|) (QUOTE NILADIC)) T) +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{DFLOAT.lsp BOOTSTRAP} {\bf DFLOAT} depends on itself. @@ -145098,7 +146141,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{DFLOAT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -145728,7 +146771,7 @@ (RETURN (PROGN (LETT |dv$| '(|DoubleFloat|) |DoubleFloat|) - (LETT $ (GETREFV 140) |DoubleFloat|) + (LETT $ (make-array 140) |DoubleFloat|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |DoubleFloat|)) @@ -145736,9 +146779,9 @@ (|stuffDomainSlots| $) $)))) -(MAKEPROP +(setf (get (QUOTE |DoubleFloat|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|OpenMathEncoding|) (0 . |OMencodingXML|) (|String|) (|OpenMathDevice|) (4 . |OMopenString|) (|Void|) @@ -145884,8 +146927,8 @@ 24 0 49 2 0 0 104 0 1 2 0 0 22 0 29)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |DoubleFloat|) (QUOTE NILADIC) T) -@ +(setf (get (QUOTE |DoubleFloat|) (QUOTE NILADIC)) T) +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ILIST.lsp BOOTSTRAP} {\bf ILIST} depends on a chain of @@ -145897,7 +146940,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ILIST.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -146355,7 +147398,7 @@ (LETT DV$1 (|devaluate| |#1|) |IndexedList|) (LETT DV$2 (|devaluate| |#2|) |IndexedList|) (LETT |dv$| (LIST '|IndexedList| DV$1 DV$2) |IndexedList|) - (LETT $ (GETREFV 71) |IndexedList|) + (LETT $ (make-array 71) |IndexedList|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -146407,9 +147450,9 @@ $)))) $)))) -(MAKEPROP +(setf (get (QUOTE |IndexedList|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #( NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) @@ -146503,7 +147546,7 @@ 0 0 1 2 3 11 0 0 1 1 0 8 0 9)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{INT.lsp BOOTSTRAP} {\bf INT} depends on {\bf OINTDOM} which depends on {\bf ORDRING} @@ -146516,7 +147559,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{INT.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -146864,7 +147907,7 @@ (RETURN (PROGN (LETT |dv$| '(|Integer|) |Integer|) - (LETT $ (GETREFV 130) |Integer|) + (LETT $ (make-array 130) |Integer|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |Integer|)) @@ -146874,9 +147917,9 @@ (QSETREFV $ 68 (CONS (|dispatchFunction| |INT;*;3$;39|) $))) $)))) -(MAKEPROP +(setf (get (QUOTE |Integer|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|Void|) (|OpenMathDevice|) (0 . |OMputApp|) @@ -147015,8 +148058,8 @@ 2 0 0 11 0 69 2 0 0 70 0 1 2 0 0 128 0 1)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |Integer|) (QUOTE NILADIC) T) -@ +(setf (get (QUOTE |Integer|) (QUOTE NILADIC)) T) +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ISTRING.lsp BOOTSTRAP} {\bf ISTRING} depends on a chain of @@ -147028,7 +148071,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{ISTRING.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -147777,7 +148820,7 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) |IndexedString|) (LETT |dv$| (LIST '|IndexedString| DV$1) |IndexedString|) - (LETT $ (GETREFV 83) |IndexedString|) + (LETT $ (make-array 83) |IndexedString|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -147811,7 +148854,7 @@ (QSETREFV $ 6 |#1|) $)))) -(MAKEPROP '|IndexedString| '|infovec| +(setf (get '|IndexedString| '|infovec|) (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|NonNegativeInteger|) (|Character|) |ISTRING;new;NniC$;1| |ISTRING;empty;$;2| (|Boolean|) |ISTRING;empty?;$B;3| @@ -147931,7 +148974,7 @@ 0 15 1 0 7 0 13))))) '|lookupComplete|)) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{LIST.lsp BOOTSTRAP} {\bf LIST} depends on a chain of @@ -147943,7 +148986,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{LIST.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -148127,7 +149170,7 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) |List|) (LETT |dv$| (LIST '|List| DV$1) |List|) - (LETT $ (GETREFV 62) |List|) + (LETT $ (make-array 62) |List|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -148188,9 +149231,9 @@ (CONS (|dispatchFunction| |LIST;convert;$If;13|) $)))) $)))) -(MAKEPROP +(setf (get (QUOTE |List|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #( NIL NIL NIL NIL NIL (|IndexedList| 6 (NRTEVAL 1)) (|local| |#1|) @@ -148242,7 +149285,7 @@ 32 2 0 6 0 34 35 1 2 39 0 44 2 0 0 6 0 10 2 0 0 0 0 29 2 0 0 0 0 11 3 5 12 13 0 8 28 2 5 12 13 0 27 1 5 15 0 25 2 5 15 0 8 26)))))) (QUOTE |lookupIncomplete|))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{NNI.lsp BOOTSTRAP} {\bf NNI} depends on itself. We need to break this cycle to build @@ -148253,7 +149296,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{NNI.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -148312,7 +149355,7 @@ (RETURN (PROGN (LETT |dv$| '(|NonNegativeInteger|) |NonNegativeInteger|) - (LETT $ (GETREFV 17) |NonNegativeInteger|) + (LETT $ (make-array 17) |NonNegativeInteger|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) @@ -148322,9 +149365,9 @@ (|stuffDomainSlots| $) $)))) -(MAKEPROP +(setf (get (QUOTE |NonNegativeInteger|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL @@ -148386,9 +149429,9 @@ 11 0 1 2 0 0 13 0 1)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |NonNegativeInteger|) (QUOTE NILADIC) T) +(setf (get (QUOTE |NonNegativeInteger|) (QUOTE NILADIC)) T) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{OUTFORM.lsp BOOTSTRAP} {\bf OUTFORM} depends on itself. @@ -148400,7 +149443,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{OUTFORM.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -148958,7 +150001,7 @@ (RETURN (PROGN (LETT |dv$| '(|OutputForm|) |OutputForm|) - (LETT $ (GETREFV 138) |OutputForm|) + (LETT $ (make-array 138) |OutputForm|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |OutputForm|)) @@ -148967,9 +150010,9 @@ (QSETREFV $ 6 (|List| $)) $)))) -(MAKEPROP +(setf (get (QUOTE |OutputForm|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #( NIL NIL NIL NIL NIL NIL (QUOTE |Rep|) (|Void|) |OUTFORM;print;$V;1| @@ -149067,8 +150110,8 @@ 2 0 0 0 0 83 2 0 0 0 0 82 2 0 0 0 0 87 2 0 0 0 0 85)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |OutputForm|) (QUOTE NILADIC) T) -@ +(setf (get (QUOTE |OutputForm|) (QUOTE NILADIC)) T) +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{PI.lsp BOOTSTRAP} {\bf PI} depends on itself. We need to break this cycle to build @@ -149079,7 +150122,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{PI.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -149118,7 +150161,7 @@ (RETURN (PROGN (LETT |dv$| '(|PositiveInteger|) |PositiveInteger|) - (LETT $ (GETREFV 12) |PositiveInteger|) + (LETT $ (make-array 12) |PositiveInteger|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |PositiveInteger|)) @@ -149127,9 +150170,9 @@ (|stuffDomainSlots| $) $)))) -(MAKEPROP +(setf (get (QUOTE |PositiveInteger|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL @@ -149166,9 +150209,9 @@ 0 0 0 1 2 0 0 6 0 1)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |PositiveInteger|) (QUOTE NILADIC) T) +(setf (get (QUOTE |PositiveInteger|) (QUOTE NILADIC)) T) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{PRIMARR.lsp BOOTSTRAP} {\bf PRIMARR} depends on itself. @@ -149180,7 +150223,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{PRIMARR.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -149194,12 +150237,12 @@ (DEFUN |PRIMARR;minIndex;$I;2| (|x| |$|) 0) (PUT (QUOTE |PRIMARR;empty;$;3|) - (QUOTE |SPADreplace|) (QUOTE (XLAM NIL (GETREFV 0)))) + (QUOTE |SPADreplace|) (QUOTE (XLAM NIL (make-array 0)))) -(DEFUN |PRIMARR;empty;$;3| (|$|) (GETREFV 0)) +(DEFUN |PRIMARR;empty;$;3| (|$|) (make-array 0)) (DEFUN |PRIMARR;new;NniS$;4| (|n| |x| |$|) - (SPADCALL (GETREFV |n|) |x| (QREFELT |$| 12))) + (SPADCALL (make-array |n|) |x| (QREFELT |$| 12))) (PUT (QUOTE |PRIMARR;qelt;$IS;5|) (QUOTE |SPADreplace|) (QUOTE ELT)) @@ -149255,7 +150298,7 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) |PrimitiveArray|) (LETT |dv$| (LIST '|PrimitiveArray| DV$1) |PrimitiveArray|) - (LETT $ (GETREFV 35) |PrimitiveArray|) + (LETT $ (make-array 35) |PrimitiveArray|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -149289,7 +150332,7 @@ (QSETREFV $ 6 |#1|) $)))) -(MAKEPROP (QUOTE |PrimitiveArray|) (QUOTE |infovec|) +(setf (get (QUOTE |PrimitiveArray|) (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|NonNegativeInteger|) @@ -149348,7 +150391,7 @@ 1 2 0 19 23 0 1 2 3 19 0 0 1 2 3 19 0 0 1 2 1 19 0 0 1 2 3 19 0 0 1 2 3 19 0 0 1 1 0 7 0 8)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{REF.lsp BOOTSTRAP} {\bf REF} depends on a chain of @@ -149360,7 +150403,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{REF.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -149416,7 +150459,7 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) |Reference|) (LETT |dv$| (LIST '|Reference| DV$1) |Reference|) - (LETT $ (GETREFV 23) |Reference|) + (LETT $ (make-array 23) |Reference|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -149434,9 +150477,9 @@ (CONS (|dispatchFunction| |REF;coerce;$Of;7|) $)))) $)))) -(MAKEPROP +(setf (get (QUOTE |Reference|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (QUOTE |Rep|) (|Boolean|) @@ -149459,10 +150502,10 @@ 0 1 1 0 6 0 11 1 0 6 0 13 1 1 16 0 21 2 0 8 0 0 9)))))) (QUOTE |lookupComplete|))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{SINT.lsp BOOTSTRAP} -<>= +\begin{chunk}{SINT.lsp BOOTSTRAP} (/VERSIONCHECK 2) @@ -149899,7 +150942,7 @@ (RETURN (PROGN (LETT |dv$| '(|SingleInteger|) |SingleInteger|) - (LETT $ (GETREFV 103) |SingleInteger|) + (LETT $ (make-array 103) |SingleInteger|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |SingleInteger|)) @@ -149909,7 +150952,7 @@ (QSETREFV $ 6 1) $)))) -(MAKEPROP '|SingleInteger| '|infovec| +(setf (get '|SingleInteger| '|infovec|) (LIST '#(NIL NIL NIL NIL NIL NIL '|seed| (|Void|) (|OpenMathDevice|) (0 . |OMputApp|) (|String|) (5 . |OMputSymbol|) (|Integer|) (12 . |OMputInteger|) @@ -150109,9 +151152,9 @@ 2 0 0 101 0 1))))) '|lookupComplete|)) -(MAKEPROP (QUOTE |SingleInteger|) (QUOTE NILADIC) T) +(setf (get (QUOTE |SingleInteger|) (QUOTE NILADIC)) T) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{SYMBOL.lsp BOOTSTRAP} {\bf SYMBOL} depends on a chain of @@ -150123,7 +151166,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{SYMBOL.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -150782,7 +151825,7 @@ (RETURN (PROGN (LETT |dv$| '(|Symbol|) |Symbol|) - (LETT $ (GETREFV 124) |Symbol|) + (LETT $ (make-array 124) |Symbol|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) |Symbol|)) @@ -150802,7 +151845,7 @@ (SPADCALL (SPADCALL "0" (QREFELT $ 40)) (QREFELT $ 41))) $)))) -(MAKEPROP '|Symbol| '|infovec| +(setf (get '|Symbol| '|infovec|) (LIST '#(NIL NIL NIL NIL NIL NIL (|Integer|) (|Reference| 6) (0 . |ref|) '|count| (|AssociationList| $$ 6) (5 . |empty|) '|xcount| (|List| 28) (|PrimitiveArray| 28) @@ -150904,9 +151947,9 @@ 20 0 0 48 2 0 20 0 0 1 2 0 20 0 0 49))))) '|lookupComplete|)) -(MAKEPROP '|Symbol| 'NILADIC T) +(setf (get '|Symbol| 'NILADIC) T) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{VECTOR.lsp BOOTSTRAP} {\bf VECTOR} depends on itself. @@ -150918,7 +151961,7 @@ Note that this code is not included in the generated catdef.spad file. -<>= +\begin{chunk}{VECTOR.lsp BOOTSTRAP} (|/VERSIONCHECK| 2) @@ -150956,7 +151999,7 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) |Vector|) (LETT |dv$| (LIST '|Vector| DV$1) |Vector|) - (LETT $ (GETREFV 36) |Vector|) + (LETT $ (make-array 36) |Vector|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -151002,9 +152045,9 @@ (CONS (|dispatchFunction| |VECTOR;convert;$If;2|) $)))) $)))) -(MAKEPROP +(setf (get (QUOTE |Vector|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL (|IndexedVector| 6 (NRTEVAL 1)) (|local| |#1|) (|List| 6) (0 . |construct|) |VECTOR;vector;L$;1| (|String|) (|Symbol|) @@ -151037,433 +152080,433 @@ (QUOTE (1 0 0 7 8 1 11 0 10 12 1 13 0 11 14 1 0 7 0 15 1 7 13 0 16 1 13 0 17 18 1 0 13 0 19 1 0 0 7 9 1 0 7 0 15 1 2 13 0 19 1 0 0 7 8)))))) (QUOTE |lookupIncomplete|))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chunk collections} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -<>= +\begin{chunk}{algebra} -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> - -<> -<> - -<> -<> -<> -<> -<> -@ +\getchunk{domain AFFPL AffinePlane} +\getchunk{domain AFFPLPS AffinePlaneOverPseudoAlgebraicClosureOfFiniteField} +\getchunk{domain AFFSP AffineSpace} +\getchunk{domain ALGSC AlgebraGivenByStructuralConstants} +\getchunk{domain ALGFF AlgebraicFunctionField} +\getchunk{domain AN AlgebraicNumber} +\getchunk{domain ANON AnonymousFunction} +\getchunk{domain ANTISYM AntiSymm} +\getchunk{domain ANY Any} +\getchunk{domain ASTACK ArrayStack} +\getchunk{domain ASP1 Asp1} +\getchunk{domain ASP10 Asp10} +\getchunk{domain ASP12 Asp12} +\getchunk{domain ASP19 Asp19} +\getchunk{domain ASP20 Asp20} +\getchunk{domain ASP24 Asp24} +\getchunk{domain ASP27 Asp27} +\getchunk{domain ASP28 Asp28} +\getchunk{domain ASP29 Asp29} +\getchunk{domain ASP30 Asp30} +\getchunk{domain ASP31 Asp31} +\getchunk{domain ASP33 Asp33} +\getchunk{domain ASP34 Asp34} +\getchunk{domain ASP35 Asp35} +\getchunk{domain ASP4 Asp4} +\getchunk{domain ASP41 Asp41} +\getchunk{domain ASP42 Asp42} +\getchunk{domain ASP49 Asp49} +\getchunk{domain ASP50 Asp50} +\getchunk{domain ASP55 Asp55} +\getchunk{domain ASP6 Asp6} +\getchunk{domain ASP7 Asp7} +\getchunk{domain ASP73 Asp73} +\getchunk{domain ASP74 Asp74} +\getchunk{domain ASP77 Asp77} +\getchunk{domain ASP78 Asp78} +\getchunk{domain ASP8 Asp8} +\getchunk{domain ASP80 Asp80} +\getchunk{domain ASP9 Asp9} +\getchunk{domain JORDAN AssociatedJordanAlgebra} +\getchunk{domain LIE AssociatedLieAlgebra} +\getchunk{domain ALIST AssociationList} +\getchunk{domain ATTRBUT AttributeButtons} +\getchunk{domain AUTOMOR Automorphism} + +\getchunk{domain BBTREE BalancedBinaryTree} +\getchunk{domain BPADIC BalancedPAdicInteger} +\getchunk{domain BPADICRT BalancedPAdicRational} +\getchunk{domain BFUNCT BasicFunctions} +\getchunk{domain BOP BasicOperator} +\getchunk{domain BINARY BinaryExpansion} +\getchunk{domain BINFILE BinaryFile} +\getchunk{domain BSTREE BinarySearchTree} +\getchunk{domain BTOURN BinaryTournament} +\getchunk{domain BTREE BinaryTree} +\getchunk{domain BITS Bits} +\getchunk{domain BLHN BlowUpWithHamburgerNoether} +\getchunk{domain BLQT BlowUpWithQuadTrans} +\getchunk{domain BOOLEAN Boolean} + +\getchunk{domain CARD CardinalNumber} +\getchunk{domain CARTEN CartesianTensor} +\getchunk{domain CHAR Character} +\getchunk{domain CCLASS CharacterClass} +\getchunk{domain CLIF CliffordAlgebra} +\getchunk{domain COLOR Color} +\getchunk{domain COMM Commutator} +\getchunk{domain COMPLEX Complex} +\getchunk{domain CDFMAT ComplexDoubleFloatMatrix} +\getchunk{domain CDFVEC ComplexDoubleFloatVector} +\getchunk{domain CONTFRAC ContinuedFraction} + +\getchunk{domain DHMATRIX DenavitHartenbergMatrix} +\getchunk{domain DBASE Database} +\getchunk{domain DLIST DataList} +\getchunk{domain DECIMAL DecimalExpansion} +\getchunk{domain DEQUEUE Dequeue} +\getchunk{domain DERHAM DeRhamComplex} +\getchunk{domain DSMP DifferentialSparseMultivariatePolynomial} +\getchunk{domain DIRPROD DirectProduct} +\getchunk{domain DPMM DirectProductMatrixModule} +\getchunk{domain DPMO DirectProductModule} +\getchunk{domain DIRRING DirichletRing} +\getchunk{domain DMP DistributedMultivariatePolynomial} +\getchunk{domain DIV Divisor} +\getchunk{domain DFLOAT DoubleFloat} +\getchunk{domain DFMAT DoubleFloatMatrix} +\getchunk{domain DFVEC DoubleFloatVector} +\getchunk{domain DROPT DrawOption} +\getchunk{domain D01AJFA d01ajfAnnaType} +\getchunk{domain D01AKFA d01akfAnnaType} +\getchunk{domain D01ALFA d01alfAnnaType} +\getchunk{domain D01AMFA d01amfAnnaType} +\getchunk{domain D01ANFA d01anfAnnaType} +\getchunk{domain D01APFA d01apfAnnaType} +\getchunk{domain D01AQFA d01aqfAnnaType} +\getchunk{domain D01ASFA d01asfAnnaType} +\getchunk{domain D01FCFA d01fcfAnnaType} +\getchunk{domain D01GBFA d01gbfAnnaType} +\getchunk{domain D01TRNS d01TransformFunctionType} +\getchunk{domain D02BBFA d02bbfAnnaType} +\getchunk{domain D02BHFA d02bhfAnnaType} +\getchunk{domain D02CJFA d02cjfAnnaType} +\getchunk{domain D02EJFA d02ejfAnnaType} +\getchunk{domain D03EEFA d03eefAnnaType} +\getchunk{domain D03FAFA d03fafAnnaType} + +\getchunk{domain EQTBL EqTable} +\getchunk{domain EQ Equation} +\getchunk{domain EXPEXPAN ExponentialExpansion} +\getchunk{domain EXPUPXS ExponentialOfUnivariatePuiseuxSeries} +\getchunk{domain EMR EuclideanModularRing} +\getchunk{domain EXIT Exit} +\getchunk{domain EXPR Expression} +\getchunk{domain EAB ExtAlgBasis} +\getchunk{domain E04DGFA e04dgfAnnaType} +\getchunk{domain E04FDFA e04fdfAnnaType} +\getchunk{domain E04GCFA e04gcfAnnaType} +\getchunk{domain E04JAFA e04jafAnnaType} +\getchunk{domain E04MBFA e04mbfAnnaType} +\getchunk{domain E04NAFA e04nafAnnaType} +\getchunk{domain E04UCFA e04ucfAnnaType} + +\getchunk{domain FR Factored} +\getchunk{domain FILE File} +\getchunk{domain FNAME FileName} +\getchunk{domain FARRAY FlexibleArray} +\getchunk{domain FDIV FiniteDivisor} +\getchunk{domain FF FiniteField} +\getchunk{domain FFCG FiniteFieldCyclicGroup} +\getchunk{domain FFCGX FiniteFieldCyclicGroupExtension} +\getchunk{domain FFCGP FiniteFieldCyclicGroupExtensionByPolynomial} +\getchunk{domain FFX FiniteFieldExtension} +\getchunk{domain FFP FiniteFieldExtensionByPolynomial} +\getchunk{domain FFNB FiniteFieldNormalBasis} +\getchunk{domain FFNBX FiniteFieldNormalBasisExtension} +\getchunk{domain FFNBP FiniteFieldNormalBasisExtensionByPolynomial} +\getchunk{domain FLOAT Float} +\getchunk{domain FC FortranCode} +\getchunk{domain FEXPR FortranExpression} +\getchunk{domain FORTRAN FortranProgram} +\getchunk{domain FST FortranScalarType} +\getchunk{domain FTEM FortranTemplate} +\getchunk{domain FT FortranType} +\getchunk{domain FCOMP FourierComponent} +\getchunk{domain FSERIES FourierSeries} +\getchunk{domain FRAC Fraction} +\getchunk{domain FRIDEAL FractionalIdeal} +\getchunk{domain FRMOD FramedModule} +\getchunk{domain FAGROUP FreeAbelianGroup} +\getchunk{domain FAMONOID FreeAbelianMonoid} +\getchunk{domain FGROUP FreeGroup} +\getchunk{domain FM FreeModule} +\getchunk{domain FM1 FreeModule1} +\getchunk{domain FMONOID FreeMonoid} +\getchunk{domain FNLA FreeNilpotentLie} +\getchunk{domain FPARFRAC FullPartialFractionExpansion} +\getchunk{domain FUNCTION FunctionCalled} + +\getchunk{domain GDMP GeneralDistributedMultivariatePolynomial} +\getchunk{domain GMODPOL GeneralModulePolynomial} +\getchunk{domain GCNAALG GenericNonAssociativeAlgebra} +\getchunk{domain GPOLSET GeneralPolynomialSet} +\getchunk{domain GSTBL GeneralSparseTable} +\getchunk{domain GTSET GeneralTriangularSet} +\getchunk{domain GSERIES GeneralUnivariatePowerSeries} +\getchunk{domain GRIMAGE GraphImage} +\getchunk{domain GOPT GuessOption} +\getchunk{domain GOPT0 GuessOptionFunctions0} + +\getchunk{domain HASHTBL HashTable} +\getchunk{domain HEAP Heap} +\getchunk{domain HEXADEC HexadecimalExpansion} +\getchunk{domain HTMLFORM HTMLFormat} +\getchunk{domain HDP HomogeneousDirectProduct} +\getchunk{domain HDMP HomogeneousDistributedMultivariatePolynomial} +\getchunk{domain HELLFDIV HyperellipticFiniteDivisor} + +\getchunk{domain ICP InfClsPt} +\getchunk{domain ICARD IndexCard} +\getchunk{domain IBITS IndexedBits} +\getchunk{domain IDPAG IndexedDirectProductAbelianGroup} +\getchunk{domain IDPAM IndexedDirectProductAbelianMonoid} +\getchunk{domain IDPO IndexedDirectProductObject} +\getchunk{domain IDPOAM IndexedDirectProductOrderedAbelianMonoid} +\getchunk{domain IDPOAMS IndexedDirectProductOrderedAbelianMonoidSup} +\getchunk{domain INDE IndexedExponents} +\getchunk{domain IFARRAY IndexedFlexibleArray} +\getchunk{domain ILIST IndexedList} +\getchunk{domain IMATRIX IndexedMatrix} +\getchunk{domain IARRAY1 IndexedOneDimensionalArray} +\getchunk{domain ISTRING IndexedString} +\getchunk{domain IARRAY2 IndexedTwoDimensionalArray} +\getchunk{domain IVECTOR IndexedVector} +\getchunk{domain ITUPLE InfiniteTuple} +\getchunk{domain INFCLSPT InfinitlyClosePoint} +\getchunk{domain INFCLSPS InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField} +\getchunk{domain IAN InnerAlgebraicNumber} +\getchunk{domain IFF InnerFiniteField} +\getchunk{domain IFAMON InnerFreeAbelianMonoid} +\getchunk{domain IIARRAY2 InnerIndexedTwoDimensionalArray} +\getchunk{domain IPADIC InnerPAdicInteger} +\getchunk{domain IPF InnerPrimeField} +\getchunk{domain ISUPS InnerSparseUnivariatePowerSeries} +\getchunk{domain INTABL InnerTable} +\getchunk{domain ITAYLOR InnerTaylorSeries} +\getchunk{domain INFORM InputForm} +\getchunk{domain INT Integer} +\getchunk{domain ZMOD IntegerMod} +\getchunk{domain INTFTBL IntegrationFunctionsTable} +\getchunk{domain IR IntegrationResult} +\getchunk{domain INTRVL Interval} + +\getchunk{domain KERNEL Kernel} +\getchunk{domain KAFILE KeyedAccessFile} + +\getchunk{domain LAUPOL LaurentPolynomial} +\getchunk{domain LIB Library} +\getchunk{domain LEXP LieExponentials} +\getchunk{domain LPOLY LiePolynomial} +\getchunk{domain LSQM LieSquareMatrix} +\getchunk{domain LODO LinearOrdinaryDifferentialOperator} +\getchunk{domain LODO1 LinearOrdinaryDifferentialOperator1} +\getchunk{domain LODO2 LinearOrdinaryDifferentialOperator2} +\getchunk{domain LIST List} +\getchunk{domain LMOPS ListMonoidOps} +\getchunk{domain LMDICT ListMultiDictionary} +\getchunk{domain LA LocalAlgebra} +\getchunk{domain LO Localize} +\getchunk{domain LWORD LyndonWord} + +\getchunk{domain MCMPLX MachineComplex} +\getchunk{domain MFLOAT MachineFloat} +\getchunk{domain MINT MachineInteger} +\getchunk{domain MAGMA Magma} +\getchunk{domain MKCHSET MakeCachableSet} +\getchunk{domain MMLFORM MathMLFormat} +\getchunk{domain MATRIX Matrix} +\getchunk{domain MODMON ModMonic} +\getchunk{domain MODMONOM ModuleMonomial} +\getchunk{domain MODFIELD ModularField} +\getchunk{domain MODRING ModularRing} +\getchunk{domain MODOP ModuleOperator} +\getchunk{domain MOEBIUS MoebiusTransform} +\getchunk{domain MRING MonoidRing} +\getchunk{domain MSET Multiset} +\getchunk{domain MPOLY MultivariatePolynomial} +\getchunk{domain MYEXPR MyExpression} +\getchunk{domain MYUP MyUnivariatePolynomial} + +\getchunk{domain NSDPS NeitherSparseOrDensePowerSeries} +\getchunk{domain NSMP NewSparseMultivariatePolynomial} +\getchunk{domain NSUP NewSparseUnivariatePolynomial} +\getchunk{domain NONE None} +\getchunk{domain NNI NonNegativeInteger} +\getchunk{domain NOTTING NottinghamGroup} +\getchunk{domain NIPROB NumericalIntegrationProblem} +\getchunk{domain ODEPROB NumericalODEProblem} +\getchunk{domain OPTPROB NumericalOptimizationProblem} +\getchunk{domain PDEPROB NumericalPDEProblem} + +\getchunk{domain OCT Octonion} +\getchunk{domain ODEIFTBL ODEIntensityFunctionsTable} +\getchunk{domain ARRAY1 OneDimensionalArray} +\getchunk{domain ONECOMP OnePointCompletion} +\getchunk{domain OMCONN OpenMathConnection} +\getchunk{domain OMDEV OpenMathDevice} +\getchunk{domain OMENC OpenMathEncoding} +\getchunk{domain OMERR OpenMathError} +\getchunk{domain OMERRK OpenMathErrorKind} +\getchunk{domain OP Operator} +\getchunk{domain OMLO OppositeMonogenicLinearOperator} +\getchunk{domain ORDCOMP OrderedCompletion} +\getchunk{domain ODP OrderedDirectProduct} +\getchunk{domain OFMONOID OrderedFreeMonoid} +\getchunk{domain OVAR OrderedVariableList} +\getchunk{domain ODPOL OrderlyDifferentialPolynomial} +\getchunk{domain ODVAR OrderlyDifferentialVariable} +\getchunk{domain ODR OrdinaryDifferentialRing} +\getchunk{domain OWP OrdinaryWeightedPolynomials} +\getchunk{domain OSI OrdSetInts} +\getchunk{domain OUTFORM OutputForm} + +\getchunk{domain PADIC PAdicInteger} +\getchunk{domain PADICRC PAdicRationalConstructor} +\getchunk{domain PADICRAT PAdicRational} +\getchunk{domain PALETTE Palette} +\getchunk{domain PARPCURV ParametricPlaneCurve} +\getchunk{domain PARSCURV ParametricSpaceCurve} +\getchunk{domain PARSURF ParametricSurface} +\getchunk{domain PFR PartialFraction} +\getchunk{domain PLACES Places} +\getchunk{domain PLACESPS PlacesOverPseudoAlgebraicClosureOfFiniteField} +\getchunk{domain PRTITION Partition} +\getchunk{domain PATTERN Pattern} +\getchunk{domain PATLRES PatternMatchListResult} +\getchunk{domain PATRES PatternMatchResult} +\getchunk{domain PENDTREE PendantTree} +\getchunk{domain PERM Permutation} +\getchunk{domain PERMGRP PermutationGroup} +\getchunk{domain HACKPI Pi} +\getchunk{domain ACPLOT PlaneAlgebraicCurvePlot} +\getchunk{domain PLCS Plcs} +\getchunk{domain PLOT Plot} +\getchunk{domain PLOT3D Plot3D} +\getchunk{domain PBWLB PoincareBirkhoffWittLyndonBasis} +\getchunk{domain POINT Point} +\getchunk{domain POLY Polynomial} +\getchunk{domain IDEAL PolynomialIdeals} +\getchunk{domain PR PolynomialRing} +\getchunk{domain PI PositiveInteger} +\getchunk{domain PF PrimeField} +\getchunk{domain PRIMARR PrimitiveArray} +\getchunk{domain PRODUCT Product} +\getchunk{domain PROJPL ProjectivePlane} +\getchunk{domain PROJSP ProjectiveSpace} +\getchunk{domain PACEXT PseudoAlgebraicClosureOfAlgExtOfRationalNumber} +\getchunk{domain PACOFF PseudoAlgebraicClosureOfFiniteField} +\getchunk{domain PACRAT PseudoAlgebraicClosureOfRationalNumber} + +\getchunk{domain QFORM QuadraticForm} +\getchunk{domain QALGSET QuasiAlgebraicSet} +\getchunk{domain QUAT Quaternion} +\getchunk{domain QEQUAT QueryEquation} +\getchunk{domain QUEUE Queue} + +\getchunk{domain RADFF RadicalFunctionField} +\getchunk{domain RADIX RadixExpansion} +\getchunk{domain RECLOS RealClosure} +\getchunk{domain RMATRIX RectangularMatrix} +\getchunk{domain REF Reference} +\getchunk{domain RGCHAIN RegularChain} +\getchunk{domain REGSET RegularTriangularSet} +\getchunk{domain RESRING ResidueRing} +\getchunk{domain RESULT Result} +\getchunk{domain RULE RewriteRule} +\getchunk{domain ROIRC RightOpenIntervalRootCharacterization} +\getchunk{domain ROMAN RomanNumeral} +\getchunk{domain ROUTINE RoutinesTable} +\getchunk{domain RULECOLD RuleCalled} +\getchunk{domain RULESET Ruleset} + +\getchunk{domain FORMULA ScriptFormulaFormat} +\getchunk{domain SEG Segment} +\getchunk{domain SEGBIND SegmentBinding} +\getchunk{domain SET Set} +\getchunk{domain SEX SExpression} +\getchunk{domain SEXOF SExpressionOf} +\getchunk{domain SAE SimpleAlgebraicExtension} +\getchunk{domain SFORT SimpleFortranProgram} +\getchunk{domain SINT SingleInteger} +\getchunk{domain SAOS SingletonAsOrderedSet} +\getchunk{domain SDPOL SequentialDifferentialPolynomial} +\getchunk{domain SDVAR SequentialDifferentialVariable} +\getchunk{domain SETMN SetOfMIntegersInOneToN} +\getchunk{domain SMP SparseMultivariatePolynomial} +\getchunk{domain SMTS SparseMultivariateTaylorSeries} +\getchunk{domain STBL SparseTable} +\getchunk{domain SULS SparseUnivariateLaurentSeries} +\getchunk{domain SUP SparseUnivariatePolynomial} +\getchunk{domain SUPEXPR SparseUnivariatePolynomialExpressions} +\getchunk{domain SUPXS SparseUnivariatePuiseuxSeries} +\getchunk{domain ORESUP SparseUnivariateSkewPolynomial} +\getchunk{domain SUTS SparseUnivariateTaylorSeries} +\getchunk{domain SHDP SplitHomogeneousDirectProduct} +\getchunk{domain SPLNODE SplittingNode} +\getchunk{domain SPLTREE SplittingTree} +\getchunk{domain SREGSET SquareFreeRegularTriangularSet} +\getchunk{domain SQMATRIX SquareMatrix} +\getchunk{domain STACK Stack} +\getchunk{domain STREAM Stream} +\getchunk{domain STRING String} +\getchunk{domain STRTBL StringTable} +\getchunk{domain SUBSPACE SubSpace} +\getchunk{domain COMPPROP SubSpaceComponentProperty} +\getchunk{domain SUCH SuchThat} +\getchunk{domain SWITCH Switch} +\getchunk{domain SYMBOL Symbol} +\getchunk{domain SYMTAB SymbolTable} +\getchunk{domain SYMPOLY SymmetricPolynomial} + +\getchunk{domain TABLE Table} +\getchunk{domain TABLEAU Tableau} +\getchunk{domain TS TaylorSeries} +\getchunk{domain TEX TexFormat} +\getchunk{domain TEXTFILE TextFile} +\getchunk{domain SYMS TheSymbolTable} +\getchunk{domain M3D ThreeDimensionalMatrix} +\getchunk{domain VIEW3D ThreeDimensionalViewport} +\getchunk{domain SPACE3 ThreeSpace} +\getchunk{domain TREE Tree} +\getchunk{domain TUBE TubePlot} +\getchunk{domain TUPLE Tuple} +\getchunk{domain ARRAY2 TwoDimensionalArray} +\getchunk{domain VIEW2D TwoDimensionalViewport} + +\getchunk{domain UFPS UnivariateFormalPowerSeries} +\getchunk{domain ULS UnivariateLaurentSeries} +\getchunk{domain ULSCONS UnivariateLaurentSeriesConstructor} +\getchunk{domain UP UnivariatePolynomial} +\getchunk{domain UPXS UnivariatePuiseuxSeries} +\getchunk{domain UPXSCONS UnivariatePuiseuxSeriesConstructor} +\getchunk{domain UPXSSING UnivariatePuiseuxSeriesWithExponentialSingularity} +\getchunk{domain OREUP UnivariateSkewPolynomial} +\getchunk{domain UTS UnivariateTaylorSeries} +\getchunk{domain UTSZ UnivariateTaylorSeriesCZero} +\getchunk{domain UNISEG UniversalSegment} + +\getchunk{domain VARIABLE Variable} +\getchunk{domain VECTOR Vector} +\getchunk{domain VOID Void} + +\getchunk{domain WP WeightedPolynomials} +\getchunk{domain WUTSET WuWenTsunTriangularSet} + +\getchunk{domain XDPOLY XDistributedPolynomial} +\getchunk{domain XPBWPOLY XPBWPolynomial} +\getchunk{domain XPOLY XPolynomial} +\getchunk{domain XPR XPolynomialRing} +\getchunk{domain XRPOLY XRecursivePolynomial} +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Index} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% diff -Nru axiom-20110301a/books/bookvol10.4.pamphlet axiom-20111101/books/bookvol10.4.pamphlet --- axiom-20110301a/books/bookvol10.4.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol10.4.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{amssymb} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % special meanings for math characters @@ -234,7 +235,7 @@ \chapter{Chapter A} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package AFALGGRO AffineAlgebraicSetComputeWithGroebnerBasis} -<>= +\begin{chunk}{AffineAlgebraicSetComputeWithGroebnerBasis.input} )set break resume )sys rm -f AffineAlgebraicSetComputeWithGroebnerBasis.output )spool AffineAlgebraicSetComputeWithGroebnerBasis.output @@ -258,8 +259,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AffineAlgebraicSetComputeWithGroebnerBasis.help} ==================================================================== AffineAlgebraicSetComputeWithGroebnerBasis examples ==================================================================== @@ -267,7 +268,7 @@ See Also: o )show AffineAlgebraicSetComputeWithGroebnerBasis -@ +\end{chunk} \pagehead{AffineAlgebraicSetComputeWithGroebnerBasis}{AFALGGRO} \pagepic{ps/v104affinealgebraicsetcomputewithgroebnerbasis.eps}{AFALGGRO}{1.00} @@ -278,7 +279,7 @@ \cross{AFALGGRO}{affineSingularPoints} \end{tabular} -<>= +\begin{chunk}{package AFALGGRO AffineAlgebraicSetComputeWithGroebnerBasis} )abbreviation package AFALGGRO AffineAlgebraicSetComputeWithGroebnerBasis ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -448,18 +449,18 @@ e1:= pp.1 monomial(lc,e1)$SUP(K) + polyToX10 reductum pol -@ -<>= +\end{chunk} +\begin{chunk}{AFALGGRO.dotabb} "AFALGGRO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=AFALGGRO"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "AFALGGRO" -> "DIRPCAT" "AFALGGRO" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package AFALGRES AffineAlgebraicSetComputeWithResultant} -<>= +\begin{chunk}{AffineAlgebraicSetComputeWithResultant.input} )set break resume )sys rm -f AffineAlgebraicSetComputeWithResultant.output )spool AffineAlgebraicSetComputeWithResultant.output @@ -487,8 +488,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{AffineAlgebraicSetComputeWithResultant.help} ==================================================================== AffineAlgebraicSetComputeWithResultant examples ==================================================================== @@ -496,7 +497,7 @@ See Also: o )show AffineAlgebraicSetComputeWithResultant -@ +\end{chunk} \pagehead{AffineAlgebraicSetComputeWithResultant}{AFALGRES} \pagepic{ps/v104affinealgebraicsetcomputewithresultant.eps}{AFALGRES}{1.00} @@ -510,7 +511,7 @@ \cross{AFALGRES}{polyRing2UPUP} \end{tabular} -<>= +\begin{chunk}{package AFALGRES AffineAlgebraicSetComputeWithResultant} )abbrev package AFALGRES AffineAlgebraicSetComputeWithResultant ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -654,13 +655,13 @@ degExt listPtsIdl -@ -<>= +\end{chunk} +\begin{chunk}{AFALGRES.dotabb} "AFALGRES" [color="#FF4488",href="bookvol10.4.pdf#nameddest=AFALGRES"] "RFP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RFP"] "AFALGRES" -> "RFP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package AF AlgebraicFunction} \pagehead{AlgebraicFunction}{AF} @@ -679,7 +680,7 @@ \cross{AF}{?**?} & \end{tabular} -<>= +\begin{chunk}{package AF AlgebraicFunction} )abbrev package AF AlgebraicFunction ++ Author: Manuel Bronstein ++ Date Created: 21 March 1988 @@ -925,15 +926,15 @@ setProperty(oproot, SPECIALDISP, droot@(List F -> OutputForm) pretend None) -@ -<>= +\end{chunk} +\begin{chunk}{AF.dotabb} "AF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=AF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "AF" -> "FS" "AF" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTHERAL AlgebraicHermiteIntegration} \pagehead{AlgebraicHermiteIntegration}{INTHERAL} @@ -942,7 +943,7 @@ {\bf Exports:}\\ \cross{INTHERAL}{HermiteIntegrate} -<>= +\begin{chunk}{package INTHERAL AlgebraicHermiteIntegration} )abbrev package INTHERAL AlgebraicHermiteIntegration ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -1017,13 +1018,13 @@ qsetelt_!(ans, i, (numer qelt(sol, i) * bc.coef1) rem modulus) ans -@ -<>= +\end{chunk} +\begin{chunk}{INTHERAL.dotabb} "INTHERAL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTHERAL"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "INTHERAL" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTALG AlgebraicIntegrate} \pagehead{AlgebraicIntegrate}{INTALG} @@ -1036,7 +1037,7 @@ \cross{INTALG}{palgintegrate} \end{tabular} -<>= +\begin{chunk}{package INTALG AlgebraicIntegrate} )abbrev package INTALG AlgebraicIntegrate ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -1335,8 +1336,8 @@ x1+->retract(derivation(x1::UP))@F) => "failed" FAIL0 -@ -<>= +\end{chunk} +\begin{chunk}{INTALG.dotabb} "INTALG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTALG"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] @@ -1345,7 +1346,7 @@ "INTALG" -> "FS" "INTALG" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTAF AlgebraicIntegration} \pagehead{AlgebraicIntegration}{INTAF} @@ -1354,7 +1355,7 @@ {\bf Exports:}\\ \cross{INTAF}{algint} -<>= +\begin{chunk}{package INTAF AlgebraicIntegration} )abbrev package INTAF AlgebraicIntegration ++ Author: Manuel Bronstein ++ Date Created: 12 October 1988 @@ -1428,15 +1429,15 @@ is?(y, "rootOf"::SY) => algintegrate(f, t, y, derivation) FAIL -@ -<>= +\end{chunk} +\begin{chunk}{INTAF.dotabb} "INTAF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTAF"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "INTAF" -> "ACF" "INTAF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ALGMANIP AlgebraicManipulations} \pagehead{AlgebraicManipulations}{ALGMANIP} @@ -1453,7 +1454,7 @@ \cross{ALGMANIP}{rootSplit} & \end{tabular} -<>= +\begin{chunk}{package ALGMANIP AlgebraicManipulations} )abbrev package ALGMANIP AlgebraicManipulations ++ Author: Manuel Bronstein ++ Date Created: 28 Mar 1988 @@ -1658,13 +1659,13 @@ lk := rootkernels tower x eval(x, lk, [sroot k for k in lk]) -@ -<>= +\end{chunk} +\begin{chunk}{ALGMANIP.dotabb} "ALGMANIP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ALGMANIP"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ALGMANIP" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ALGMFACT AlgebraicMultFact} \pagehead{AlgebraicMultFact}{ALGMFACT} @@ -1673,7 +1674,7 @@ {\bf Exports:}\\ \cross{ALGMFACT}{factor} -<>= +\begin{chunk}{package ALGMFACT AlgebraicMultFact} )abbrev package ALGMFACT AlgebraicMultFact ++ Author: P. Gianni ++ Date Created: 1990 @@ -1729,13 +1730,13 @@ factor(up:USP,lalg:L AN) : Factored USP == factor(up,(z1:BP):Factored(BP) +-> factor(z1,lalg)$AF)$INNER -@ -<>= +\end{chunk} +\begin{chunk}{ALGMFACT.dotabb} "ALGMFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ALGMFACT"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "ALGMFACT" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ALGPKG AlgebraPackage} \pagehead{AlgebraPackage}{ALGPKG} @@ -1763,7 +1764,7 @@ \cross{ALGPKG}{weakBiRank} && \end{tabular} -<>= +\begin{chunk}{package ALGPKG AlgebraPackage} )abbrev package ALGPKG AlgebraPackage ++ Authors: J. Grabmeier, R. Wisbauer ++ Date Created: 04 March 1991 @@ -2225,13 +2226,13 @@ finished? := true [v.j for j in reverse lj] -@ -<>= +\end{chunk} +\begin{chunk}{ALGPKG.dotabb} "ALGPKG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ALGPKG"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "ALGPKG" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ALGFACT AlgFactor} \pagehead{AlgFactor}{ALGFACT} @@ -2244,7 +2245,7 @@ \cross{ALGFACT}{split} \end{tabular} -<>= +\begin{chunk}{package ALGFACT AlgFactor} )abbrev package ALGFACT AlgFactor ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -2346,13 +2347,13 @@ $UPCF2(sae, ups, AN, UP), fc.exponent) for fc in factors fr] -@ -<>= +\end{chunk} +\begin{chunk}{ALGFACT.dotabb} "ALGFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ALGFACT"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "ALGFACT" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTPACK AnnaNumericalIntegrationPackage} \pagehead{AnnaNumericalIntegrationPackage}{INTPACK} @@ -2364,7 +2365,7 @@ \cross{INTPACK}{measure} \end{tabular} -<>= +\begin{chunk}{package INTPACK AnnaNumericalIntegrationPackage} )abbrev package INTPACK AnnaNumericalIntegrationPackage ++ Author: Brian Dupee ++ Date Created: August 1994 @@ -2868,13 +2869,13 @@ integrate(exp:EF,ra:LSOCF):Result == integrate(exp,ra,1.0e-4) -@ -<>= +\end{chunk} +\begin{chunk}{INTPACK.dotabb} "INTPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTPACK"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "INTPACK" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OPTPACK AnnaNumericalOptimizationPackage} \pagehead{AnnaNumericalOptimizationPackage}{OPTPACK} @@ -2887,7 +2888,7 @@ \cross{OPTPACK}{optimize} \end{tabular} -<>= +\begin{chunk}{package OPTPACK AnnaNumericalOptimizationPackage} )abbrev package OPTPACK AnnaNumericalOptimizationPackage ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -3282,13 +3283,13 @@ args:LSA := [[ef2edf i for i in lf],[f2df j for j in start]] goodnessOfFit(args::NumericalOptimizationProblem) -@ -<>= +\end{chunk} +\begin{chunk}{OPTPACK.dotabb} "OPTPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OPTPACK"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "OPTPACK" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODEPACK AnnaOrdinaryDifferentialEquationPackage} \pagehead{AnnaOrdinaryDifferentialEquationPackage}{ODEPACK} @@ -3300,7 +3301,7 @@ \cross{ODEPACK}{solve} \end{tabular} -<>= +\begin{chunk}{package ODEPACK AnnaOrdinaryDifferentialEquationPackage} )abbrev package ODEPACK AnnaOrdinaryDifferentialEquationPackage ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -3705,13 +3706,13 @@ solve(f:VEF,xStart:F,xEnd:F,yInitial:LF):Result == solve(f,xStart,xEnd,yInitial,1.0e-4) -@ -<>= +\end{chunk} +\begin{chunk}{ODEPACK.dotabb} "ODEPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODEPACK"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ODEPACK" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PDEPACK AnnaPartialDifferentialEquationPackage} \pagehead{AnnaPartialDifferentialEquationPackage}{PDEPACK} @@ -3723,7 +3724,7 @@ \cross{PDEPACK}{solve} \end{tabular} -<>= +\begin{chunk}{package PDEPACK AnnaPartialDifferentialEquationPackage} )abbrev package PDEPACK AnnaPartialDifferentialEquationPackage ++ Author: Brian Dupee ++ Date Created: June 1996 @@ -3976,13 +3977,13 @@ LEF,s:ST):Result == solve(xmi,xma,ymi,yma,nx,ny,pe,bo,s,0.0001::DF) -@ -<>= +\end{chunk} +\begin{chunk}{PDEPACK.dotabb} "PDEPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PDEPACK"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "PDEPACK" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ANY1 AnyFunctions1} \pagehead{AnyFunctions1}{ANY1} @@ -3996,7 +3997,7 @@ \cross{ANY1}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{package ANY1 AnyFunctions1} )abbrev package ANY1 AnyFunctions1 ++ Author: ++ Date Created: @@ -4044,16 +4045,16 @@ retractable? a => obj(a) pretend S error "Cannot retract value." -@ -<>= +\end{chunk} +\begin{chunk}{ANY1.dotabb} "ANY1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ANY1"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "ANY1" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package API ApplicationProgramInterface} -<>= +\begin{chunk}{ApplicationProgramInterface.input} )set break resume )sys rm -f ApplicationProgramInterface.output )spool ApplicationProgramInterface.output @@ -4174,10 +4175,10 @@ --R Type: Void --E 3 -@ +\end{chunk} The summary command simply types out the contents of the file \$AXIOM/lib/summary so no output is captured in the spool file. -<>= +\begin{chunk}{ApplicationProgramInterface.input} --S 4 of 5 summary() --R @@ -4199,8 +4200,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ApplicationProgramInterface.help} ==================================================================== ApplicationProgramInterface examples ==================================================================== @@ -4238,7 +4239,7 @@ The summary function prints a short list of useful console commands. -@ +\end{chunk} \pagehead{ApplicationProgramInterface}{API} \pagepic{ps/v104applicationprograminterface.ps}{API}{1.00} @@ -4246,7 +4247,7 @@ \begin{tabular}{ll} \end{tabular} -<>= +\begin{chunk}{package API ApplicationProgramInterface} )abbrev package API ApplicationProgramInterface ++ Author: Timothy Daly, Martin Rubey ++ Date Created: 3 March 2009 @@ -4278,13 +4279,13 @@ summary() == ( summary()$Lisp ; void() ) -@ -<>= +\end{chunk} +\begin{chunk}{API.dotabb} "API" [color="#FF4488",href="bookvol10.4.pdf#nameddest=APPRULE"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "API" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package APPRULE ApplyRules} \pagehead{ApplyRules}{APPRULE} @@ -4296,7 +4297,7 @@ \cross{APPRULE}{localUnquote} \end{tabular} -<>= +\begin{chunk}{package APPRULE ApplyRules} )abbrev package APPRULE ApplyRules ++ Applications of rules to expressions ++ Author: Manuel Bronstein @@ -4415,13 +4416,13 @@ recip(f)::F ** (- ee.exponent)::NonNegativeInteger subject -@ -<>= +\end{chunk} +\begin{chunk}{APPRULE.dotabb} "APPRULE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=APPRULE"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "APPRULE" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package APPLYORE ApplyUnivariateSkewPolynomial} \pagehead{ApplyUnivariateSkewPolynomial}{APPLYORE} @@ -4430,7 +4431,7 @@ {\bf Exports:}\\ \cross{APPLYORE}{apply} -<>= +\begin{chunk}{package APPLYORE ApplyUnivariateSkewPolynomial} )abbrev package APPLYORE ApplyUnivariateSkewPolynomial ++ Author: Manuel Bronstein ++ Date Created: 7 December 1993 @@ -4454,13 +4455,13 @@ mn := f mn w -@ -<>= +\end{chunk} +\begin{chunk}{APPLYORE.dotabb} "APPLYORE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=APPLYORE"] "OREPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OREPCAT"] "APPLYORE" -> "OREPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ASSOCEQ AssociatedEquations} \pagehead{AssociatedEquations}{ASSOCEQ} @@ -4473,7 +4474,7 @@ \cross{ASSOCEQ}{uncouplingMatrices} \end{tabular} -<>= +\begin{chunk}{package ASSOCEQ AssociatedEquations} )abbrev package ASSOCEQ AssociatedEquations ++ Author: Manuel Bronstein ++ Date Created: 10 January 1994 @@ -4581,13 +4582,13 @@ for i in 1..#v repeat op := op + monomial(v i, i) op -@ -<>= +\end{chunk} +\begin{chunk}{ASSOCEQ.dotabb} "ASSOCEQ" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ASSOCEQ"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "ASSOCEQ" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMPRED AttachPredicates} \pagehead{AttachPredicates}{PMPRED} @@ -4596,7 +4597,7 @@ {\bf Exports:}\\ \cross{PMPRED}{suchThat} -<>= +\begin{chunk}{package PMPRED AttachPredicates} )abbrev package PMPRED AttachPredicates ++ Predicates for pattern-matching ++ Author: Manuel Bronstein @@ -4622,15 +4623,15 @@ suchThat(p:Symbol, f:D -> Boolean) == suchThat(p::FE, f) suchThat(p:Symbol, l:List(D -> Boolean)) == suchThat(p::FE, l) -@ -<>= +\end{chunk} +\begin{chunk}{PMPRED.dotabb} "PMPRED" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMPRED"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "PMPRED" -> "PID" "PMPRED" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package AXSERV AxiomServer} \pagehead{AxiomServer}{AXSERV} @@ -4643,7 +4644,7 @@ \cross{ASSOCEQ}{getDatabase} \end{tabular} -<>= +\begin{chunk}{package AXSERV AxiomServer} )abbrev package AXSERV AxiomServer ++ Author: Arthur Ralfs, Timothy Daly, Alfredo Portes @@ -4682,11 +4683,11 @@ -- WriteLine$Lisp concat ["getDatabase: ",constructor," ",key," ",answer] answer -@ +\end{chunk} The axServer function handles the socket connection on the given port. When it gets a input on the socket it calls the server function on the socket input. -<>= +\begin{chunk}{package AXSERV AxiomServer} axServer(port:Integer,serverfunc:SExpression->Void):Void == WriteLine$Lisp "listening on port 8085" s := SiSock(port,serverfunc)$Lisp @@ -4699,7 +4700,7 @@ serverfunc(w) -- i := 0 -@ +\end{chunk} The multiServ function parses the socket input. It expects either a GET or POST request. @@ -4711,7 +4712,7 @@ \item ``lispcall='' which expects lisp interpreter input When this is recognized we call the ``getLisp'' function. \end{itemize} -<>= +\begin{chunk}{package AXSERV AxiomServer} multiServ(s:SExpression):Void == -- WriteLine("multiServ begin")$Lisp @@ -4762,13 +4763,13 @@ -- WriteLine("multiServ end")$Lisp -- WriteLine("")$Lisp -@ +\end{chunk} \subsubsection{getFile} Given a socket and the URL of the file we create an input stream that contains the file. If the filename contains a question mark then we need to parse the parameters and dynamically construct the file contents. -<>= +\begin{chunk}{package AXSERV AxiomServer} getFile(s:SExpression,pathvar:String):Void == -- WriteLine("")$Lisp WriteLine$Lisp concat ["getFile: ",pathvar] @@ -4789,9 +4790,9 @@ q:=MAKE_-STRING_-INPUT_-STREAM(makeDBPage(pathvar))$Lisp outputToSocket(s,readTheFile(q),contentType) -@ +\end{chunk} \subsubsection{makeErrorPage} -<>= +\begin{chunk}{package AXSERV AxiomServer} makeErrorPage(msg:String):String == page:String:="Error" msg "" -- WriteLine(page)$Lisp page -@ +\end{chunk} \subsubsection{getDescription} We need to fish around in the data structure to return the piece of documentation for the domain. We have to call the lisp version of @@ -4809,16 +4810,16 @@ need to get the lisp object and work with it in native form first. The doc string also contains spad markup which we need to replace with html. -<>= +\begin{chunk}{package AXSERV AxiomServer} getDescription(dom:String):String == d:=CADR(CADAR(GETDATABASE(INTERN(dom)$Lisp,'DOCUMENTATION)$Lisp)$Lisp)$Lisp string d -@ +\end{chunk} \subsubsection{getSourceFile} During build we construct a hash table that takes the chunk name as the key and returns the filename. We reconstruct the chunk name here and do a lookup for the source file. -<>= +\begin{chunk}{package AXSERV AxiomServer} getSourceFile(constructorkind:String,_ abbreviation:String,_ dom:String):String == @@ -4827,9 +4828,9 @@ sourcefile:=lowerCase last split(getDatabase(dom,"SOURCEFILE"),char "/") sourcefile:=sourcefile ".pamphlet" -@ +\end{chunk} \subsubsection{makeDBPage} -<>= +\begin{chunk}{package AXSERV AxiomServer} makeDBPage(pathvar:String):String == params:List(String):=split(pathvar,char "?") for i in 1..#params repeat WriteLine$Lisp concat ["params: ",params.i] @@ -4963,11 +4964,11 @@ -- WriteLine(page)$Lisp page:=page "" page -@ +\end{chunk} \subsubsection{readTheFile} We have q which is a stream which contains the file. We read the file into a string-stream to get it all into one string. We return the string. -<>= +\begin{chunk}{package AXSERV AxiomServer} readTheFile(q:SExpression):String == -- WriteLine("begin reading file")$Lisp r := MAKE_-STRING_-OUTPUT_-STREAM()$Lisp @@ -4978,13 +4979,13 @@ -- WriteLine("end reading file")$Lisp filestream -@ +\end{chunk} \subsubsection{outputToSocket} We have ``s'' which is the socket, ``filestream'' which is the text of the file to output, and ``contentType'' which is the HTML Content-Type. We construct the HTML header information according to the standard and prepend it to the file. The resulting string is output to the socket. -<>= +\begin{chunk}{package AXSERV AxiomServer} outputToSocket(s:SExpression,filestream:String,contentType:String):Void == filelength:String := string(#filestream) file:String := "" @@ -5000,7 +5001,7 @@ CLOSE(f)$Lisp CLOSE(s)$Lisp -@ +\end{chunk} \subsubsection{getCommand} The getCommand function is invoked when the HTTP request is a POST and contains the string "command". Essentially the game here is @@ -5017,7 +5018,7 @@ The HTML functions in the hyperdoc browser depend on the order of these variables so do not change this without changing the corresponding functions in the browser HTML. -<>= +\begin{chunk}{package AXSERV AxiomServer} getCommand(s:SExpression,command:String):Void == WriteLine$Lisp concat ["getCommand: ",command] SETQ(tmpmathml$Lisp, MAKE_-STRING_-OUTPUT_-STREAM()$Lisp)$Lisp @@ -5059,7 +5060,7 @@ CLOSE(q)$Lisp CLOSE(s)$Lisp -@ +\end{chunk} \subsubsection{getInterp} The getInterp function is invoked when the HTTP request is a POST @@ -5077,7 +5078,7 @@ The HTML functions in the hyperdoc browser depend on the order of these variables so do not change this without changing the corresponding functions in the browser HTML. -<>= +\begin{chunk}{package AXSERV AxiomServer} getInterp(s:SExpression,command:String):Void == WriteLine$Lisp concat ["getInterp: ",command] SETQ(tmpmathml$Lisp, MAKE_-STRING_-OUTPUT_-STREAM()$Lisp)$Lisp @@ -5119,12 +5120,12 @@ CLOSE(q)$Lisp CLOSE(s)$Lisp -@ +\end{chunk} \subsubsection{getLisp} The getLisp function is invoked when the HTTP request is a POST and contains the string "lispcall". -<>= +\begin{chunk}{package AXSERV AxiomServer} getLisp(s:SExpression,command:String):Void == WriteLine$Lisp concat ["getLisp: ",command] evalresult:=EVAL(READ_-FROM_-STRING(command)$Lisp)$Lisp @@ -5164,14 +5165,14 @@ CLOSE(q)$Lisp CLOSE(s)$Lisp -@ +\end{chunk} \subsubsection{getShow} The getShow function is invoked when the HTTP request is a POST and contains the string "showcall". The )show command generates output to lisp's *standard-output* so we wrap that stream to capture it. The resulting string needs to be transformed into html-friendly form. This is done in the call to replace-entitites (see http.lisp) -<>= +\begin{chunk}{package AXSERV AxiomServer} getShow(s:SExpression,showarg:String):Void == WriteLine$Lisp concat ["getShow: ",showarg] realarg:=SUBSEQ(showarg,6)$Lisp @@ -5218,7 +5219,7 @@ CLOSE(q)$Lisp CLOSE(s)$Lisp -@ +\end{chunk} \subsubsection{lastType} To examine the \$internalHistoryTable use the following line \begin{verbatim} @@ -5245,7 +5246,7 @@ We also need to check for input error in which case the \$internalHistoryTable is not changed and the type retrieved would be that for the last correct input. -<>= +\begin{chunk}{package AXSERV AxiomServer} lastType():String == SETQ(first$Lisp,FIRST(_$internalHistoryTable$Lisp)$Lisp)$Lisp count:Integer := 0 @@ -5332,13 +5333,13 @@ -- WriteLine("getContentType end")$Lisp contentType -@ -<>= +\end{chunk} +\begin{chunk}{AXSERV.dotabb} "AXSERV" [color="#FF4488",href="bookvol10.4.pdf#nameddest=AXSERV"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "AXSERV" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter B} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -5349,7 +5350,7 @@ {\bf Exports:}\\ \cross{BALFACT}{balancedFactorisation} -<>= +\begin{chunk}{package BALFACT BalancedFactorisation} )abbrev package BALFACT BalancedFactorisation ++ Author: Manuel Bronstein ++ Date Created: 1 March 1991 @@ -5394,13 +5395,13 @@ sa := squareFree a unit(sa) * */[balSqfr(f.factor,f.exponent,ll) for f in factors sa]) -@ -<>= +\end{chunk} +\begin{chunk}{BALFACT.dotabb} "BALFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BALFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "BALFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BOP1 BasicOperatorFunctions1} \pagehead{BasicOperatorFunctions1}{BOP1} @@ -5414,7 +5415,7 @@ \cross{BOP1}{evaluate} \end{tabular} -<>= +\begin{chunk}{package BOP1 BasicOperatorFunctions1} )abbrev package BOP1 BasicOperatorFunctions1 ++ Author: Manuel Bronstein ++ Date Created: 28 Mar 1988 @@ -5537,16 +5538,16 @@ else constantOperator a == constOp a -@ -<>= +\end{chunk} +\begin{chunk}{BOP1.dotabb} "BOP1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BOP1"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "BOP1" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BEZIER Bezier} -<>= +\begin{chunk}{Bezier.input} )set break resume )sys rm -f Bezier.output )spool Bezier.output @@ -5622,9 +5623,9 @@ --for i in 2..9 for graph in others repeat putGraph(d1,[graph],i) --vp:=makeViewport2D(d1) -@ +\end{chunk} \includegraphics[scale=1.50]{ps/v104beziermove.eps} -<>= +\begin{chunk}{Bezier.help} ==================================================================== Bezier Curve examples ==================================================================== @@ -5723,7 +5724,7 @@ o )d op putGraph o )d op makeViewport2D -@ +\end{chunk} \pagehead{Bezier}{BEZIER} \pagepic{ps/v104bezier.ps}{BEZIER}{1.00} @@ -5734,7 +5735,7 @@ \cross{BEZIER}{cubicBezier} \end{tabular} -<>= +\begin{chunk}{package BEZIER Bezier} )abbrev package BEZIER Bezier ++ Author: Timothy Daly ++ Date Created: 14 April 2009 @@ -5786,15 +5787,15 @@ (1-t)**3*(a.2) + 3*t*(1-t)**2*(b.2) + 3*t**2*(1-t)*(c.2) + t**3*(d.2)] -@ -<>= +\end{chunk} +\begin{chunk}{BEZIER.dotabb} "BEZIER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BEZIER"] "LMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LMODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "BEZIER" -> "LMODULE" "BEZIER" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BEZOUT BezoutMatrix} \pagehead{BezoutMatrix}{BEZOUT} @@ -5808,7 +5809,7 @@ \cross{BEZOUT}{sylvesterMatrix} \end{tabular} -<>= +\begin{chunk}{package BEZOUT BezoutMatrix} )abbrev package BEZOUT BezoutMatrix ++ Author: Clifton J. Williamson ++ Date Created: 2 August 1988 @@ -5958,16 +5959,16 @@ -bezoutResultant(f,differentiate f) error "bezoutDiscriminant: leading coefficient must be 1" -@ -<>= +\end{chunk} +\begin{chunk}{BEZOUT.dotabb} "BEZOUT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BEZOUT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "BEZOUT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BLUPPACK BlowUpPackage} -<>= +\begin{chunk}{BlowUpPackage.input} )set break resume )sys rm -f BlowUpPackage.output )spool BlowUpPackage.output @@ -5994,8 +5995,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BlowUpPackage.help} ==================================================================== BlowUpPackage examples ==================================================================== @@ -6003,7 +6004,7 @@ See Also: o )show BlowUpPackage -@ +\end{chunk} \pagehead{BlowUpPackage}{BLUPPACK} \pagepic{ps/v104blowuppackage.eps}{BLUPPACK}{1.00} @@ -6017,7 +6018,7 @@ \cross{BLUPPACK}{stepBlowUp} \end{tabular} -<>= +\begin{chunk}{package BLUPPACK BlowUpPackage} )abbrev package BLUPPACK BlowUpPackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -6263,15 +6264,15 @@ maxOf(a:K,b:K):K == K has PseudoAlgebraicClosureOfPerfectFieldCategory => maxTower([a,b])$K 1$K -@ -<>= +\end{chunk} +\begin{chunk}{BLUPPACK.dotabb} "BLUPPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BLUPPACK"] "RFP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RFP"] "NPOLYGON" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NPOLYGON"] "BLUPPACK" -> "RFP" "BLUPPACK" -> "NPOLYGON" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BOUNDZRO BoundIntegerRoots} \pagehead{BoundIntegerRoots}{BOUNDZRO} @@ -6280,7 +6281,7 @@ {\bf Exports:}\\ \cross{BOUNDZRO}{integerBound} -<>= +\begin{chunk}{package BOUNDZRO BoundIntegerRoots} )abbrev package BOUNDZRO BoundIntegerRoots ++ Author: Manuel Bronstein ++ Date Created: 11 March 1991 @@ -6363,13 +6364,13 @@ and zero? p(r::Q::F) then bound := r bound -@ -<>= +\end{chunk} +\begin{chunk}{BOUNDZRO.dotabb} "BOUNDZRO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BOUNDZRO"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "BOUNDZRO" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BRILL BrillhartTests} \pagehead{BrillhartTests}{BRILL} @@ -6382,7 +6383,7 @@ \cross{BEZOUT}{brillhartTrials} \end{tabular} -<>= +\begin{chunk}{package BRILL BrillhartTests} )abbrev package BRILL BrillhartTests ++ Author: Frederic Lehobey, James H. Davenport ++ Date Created: 28 June 1994 @@ -6489,13 +6490,13 @@ noLinearFactor?(p:UP):Boolean == (odd? leadingCoefficient p) and (odd? coefficient(p,0)) and (odd? p(1)) -@ -<>= +\end{chunk} +\begin{chunk}{BRILL.dotabb} "BRILL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=BRILL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "BRILL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter C} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -6509,7 +6510,7 @@ \cross{CARTEN2}{reshape} \end{tabular} -<>= +\begin{chunk}{package CARTEN2 CartesianTensorFunctions2} )abbrev package CARTEN2 CartesianTensorFunctions2 ++ Author: Stephen M. Watt ++ Date Created: December 1986 @@ -6543,13 +6544,13 @@ reshape(l, s) == unravel l map(f, s) == unravel [f e for e in ravel s] -@ -<>= +\end{chunk} +\begin{chunk}{CARTEN2.dotabb} "CARTEN2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CARTEN2"] "BMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BMODULE"] "CARTEN2" -> "BMODULE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CHVAR ChangeOfVariable} \pagehead{ChangeOfVariable}{CHVAR} @@ -6565,7 +6566,7 @@ \cross{CHVAR}{rootPoly} && \end{tabular} -<>= +\begin{chunk}{package CHVAR ChangeOfVariable} )abbrev package CHVAR ChangeOfVariable ++ Author: Manuel Bronstein ++ Date Created: 1988 @@ -6694,13 +6695,13 @@ m)$FactoredFunctions(UP) [pr.exponent, d / pr.coef, */(pr.radicand)] -@ -<>= +\end{chunk} +\begin{chunk}{CHVAR.dotabb} "CHVAR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CHVAR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "CHVAR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CPIMA CharacteristicPolynomialInMonogenicalAlgebra} \pagehead{CharacteristicPolynomialInMonogenicalAlgebra}{CPIMA} @@ -6709,7 +6710,7 @@ {\bf Exports:}\\ \cross{CPIMA}{characteristicPolynomial} -<>= +\begin{chunk}{package CPIMA CharacteristicPolynomialInMonogenicalAlgebra} )abbrev package CPIMA CharacteristicPolynomialInMonogenicalAlgebra ++ Author: Claude Quitte ++ Date Created: 10/12/93 @@ -6745,13 +6746,13 @@ -- on utilise le fait que resultant_Y (P(Y), X - Qx(Y)) return resultant(P, X - XtoY(Qx)) -@ -<>= +\end{chunk} +\begin{chunk}{CPIMA.dotabb} "CPIMA" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CPIMA"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "CPIMA" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CHARPOL CharacteristicPolynomialPackage} \pagehead{CharacteristicPolynomialPackage}{CHARPOL} @@ -6760,7 +6761,7 @@ {\bf Exports:}\\ \cross{CHARPOL}{characteristicPolynomial} -<>= +\begin{chunk}{package CHARPOL CharacteristicPolynomialPackage} )abbrev package CHARPOL CharacteristicPolynomialPackage ++ Author: Barry Trager ++ Date Created: @@ -6796,13 +6797,13 @@ B(i,i) := B(i,i) - v determinant B -@ -<>= +\end{chunk} +\begin{chunk}{CHARPOL.dotabb} "CHARPOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CHARPOL"] "BMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BMODULE"] "CHARPOL" -> "BMODULE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IBACHIN ChineseRemainderToolsForIntegralBases} \pagehead{ChineseRemainderToolsForIntegralBases}{IBACHIN} @@ -6815,7 +6816,7 @@ \cross{IBACHIN}{listConjugateBases} \end{tabular} -<>= +\begin{chunk}{package IBACHIN ChineseRemainderToolsForIntegralBases} )abbrev package IBACHIN ChineseRemainderToolsForIntegralBases ++ Author: Clifton Williamson ++ Date Created: 9 August 1993 @@ -6992,13 +6993,13 @@ matInv := UpTriBddDenomInv(mat,denLCM) [mat,denLCM,matInv] -@ -<>= +\end{chunk} +\begin{chunk}{IBACHIN.dotabb} "IBACHIN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IBACHIN"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "IBACHIN" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CVMP CoerceVectorMatrixPackage} \pagehead{CoerceVectorMatrixPackage}{CVMP} @@ -7010,7 +7011,7 @@ \cross{CVMP}{coerceP} \end{tabular} -<>= +\begin{chunk}{package CVMP CoerceVectorMatrixPackage} )abbrev package CVMP CoerceVectorMatrixPackage ++ Author: J. Grabmeier ++ Date Created: 26 June 1991 @@ -7061,16 +7062,16 @@ l := cons(m3,l) vector reverse l -@ -<>= +\end{chunk} +\begin{chunk}{CVMP.dotabb} "CVMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CVMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "CVMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMBF CombinatorialFunction} -<>= +\begin{chunk}{CombinatorialFunction.input} )set break resume )sys rm -f CombinatorialFunction.output )spool CombinatorialFunction.output @@ -7135,8 +7136,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CombinatorialFunction.help} ==================================================================== CombinatorialFunction examples ==================================================================== @@ -7208,7 +7209,7 @@ o )show OutputForm o )help set -@ +\end{chunk} \pagehead{CombinatorialFunction}{COMBF} \pagepic{ps/v104combinatorialfunction.ps}{COMBF}{1.00} @@ -7245,7 +7246,7 @@ for negative integral second argument. One way, particular suitable for combinatorics, is to set the binomial coefficient equal to zero for negative second argument. This is, partially, also the approach taken in -[[combinat.spad]], where we find +combinat.spad, where we find \begin{verbatim} binomial(n, m) == @@ -7291,7 +7292,7 @@ Differentiating a sum with respect to its indexing variable correctly gives zero. This is due to the introduction of dummy variables in the internal -representation of a sum: the operator [[%defsum]] takes 5 arguments, namely +representation of a sum: the operator \verb|%defsum| takes 5 arguments, namely \begin{enumerate} \item the summands, where each occurrence of the indexing variable is replaced @@ -7343,7 +7344,7 @@ defined there. Although strictly speaking $0^x$ is not differentiable at zero, we return zero for convenience. -<>= +\begin{chunk}{package COMBF CombinatorialFunction} )abbrev package COMBF CombinatorialFunction ++ Author: Manuel Bronstein, Martin Rubey ++ Date Created: 2 Aug 1988 @@ -7792,13 +7793,13 @@ setProperty(opprod, SPECIALEQUAL, equalsumprod@((K,K) -> Boolean) pretend None) setProperty(opdprod, SPECIALEQUAL, equaldsumprod@((K,K) -> Boolean) pretend None) -@ -<>= +\end{chunk} +\begin{chunk}{COMBF.dotabb} "COMBF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMBF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "COMBF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CDEN CommonDenominator} \pagehead{CommonDenominator}{CDEN} @@ -7811,7 +7812,7 @@ \cross{COMBF}{splitDenominator} \end{tabular} -<>= +\begin{chunk}{package CDEN CommonDenominator} )abbrev package CDEN CommonDenominator ++ Author: Manuel Bronstein ++ Date Created: 2 May 1988 @@ -7856,13 +7857,13 @@ else commonDenominator l == numer reduce("*", map(x+->denom(x)::Q, l), 1) -@ -<>= +\end{chunk} +\begin{chunk}{CDEN.dotabb} "CDEN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CDEN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "CDEN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMMONOP CommonOperators} \pagehead{CommonOperators}{COMMONOP} @@ -7871,7 +7872,7 @@ {\bf Exports:}\\ \cross{COMMONOP}{operator} -<>= +\begin{chunk}{package COMMONOP CommonOperators} )abbrev package COMMONOP CommonOperators ++ Author: Manuel Bronstein ++ Date Created: 25 Mar 1988 @@ -8072,13 +8073,13 @@ assert(oppren, "linear") void -@ -<>= +\end{chunk} +\begin{chunk}{COMMONOP.dotabb} "COMMONOP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMMONOP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "COMMONOP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMMUPC CommuteUnivariatePolynomialCategory} \pagehead{CommuteUnivariatePolynomialCategory}{COMMUPC} @@ -8087,7 +8088,7 @@ {\bf Exports:}\\ \cross{COMMUPC}{swap} -<>= +\begin{chunk}{package COMMUPC CommuteUnivariatePolynomialCategory} )abbrev package COMMUPC CommuteUnivariatePolynomialCategory ++ Author: Manuel Bronstein ++ Date Created: @@ -8132,13 +8133,13 @@ poly := reductum poly ans -@ -<>= +\end{chunk} +\begin{chunk}{COMMUPC.dotabb} "COMMUPC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMMUPC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "COMMUPC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMPFACT ComplexFactorization} \pagehead{ComplexFactorization}{COMPFACT} @@ -8147,7 +8148,7 @@ {\bf Exports:}\\ \cross{COMPFACT}{factor} -<>= +\begin{chunk}{package COMPFACT ComplexFactorization} )abbrev package COMPFACT ComplexFactorization ++ Author: ++ Date Created: @@ -8237,13 +8238,13 @@ ffr:=factor ratPol backConv ffr -@ -<>= +\end{chunk} +\begin{chunk}{COMPFACT.dotabb} "COMPFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMPFACT"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "COMPFACT" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMPLEX2 ComplexFunctions2} \pagehead{ComplexFunctions2}{COMPLEX2} @@ -8252,7 +8253,7 @@ {\bf Exports:}\\ \cross{COMPLEX2}{map} -<>= +\begin{chunk}{package COMPLEX2 ComplexFunctions2} )abbrev package COMPLEX2 ComplexFunctions2 ++ Author: ++ Date Created: @@ -8273,13 +8274,13 @@ == add map(fn, gr) == complex(fn real gr, fn imag gr) -@ -<>= +\end{chunk} +\begin{chunk}{COMPLEX2.dotabb} "COMPLEX2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMPLEX2"] "BMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BMODULE"] "COMPLEX2" -> "BMODULE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CINTSLPE ComplexIntegerSolveLinearPolynomialEquation} \pagehead{ComplexIntegerSolveLinearPolynomialEquation}{CINTSLPE} @@ -8288,7 +8289,7 @@ {\bf Exports:}\\ \cross{CINTSLPE}{solveLinearPolynomialEquation} -<>= +\begin{chunk}{package CINTSLPE ComplexIntegerSolveLinearPolynomialEquation} )abbrev package CINTSLPE ComplexIntegerSolveLinearPolynomialEquation ++ Author: James Davenport ++ Date Created: 1990 @@ -8338,13 +8339,13 @@ answer:=solveid(p,complex(slpePrime,0),oldtable) answer -@ -<>= +\end{chunk} +\begin{chunk}{CINTSLPE.dotabb} "CINTSLPE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CINTSLPE"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "CINTSLPE" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMPLPAT ComplexPattern} \pagehead{ComplexPattern}{COMPLPAT} @@ -8353,7 +8354,7 @@ {\bf Exports:}\\ \cross{COMPLPAT}{convert} -<>= +\begin{chunk}{package COMPLPAT ComplexPattern} )abbrev package COMPLPAT ComplexPattern ++ Author: Barry Trager ++ Date Created: 30 Nov 1995 @@ -8383,13 +8384,13 @@ zero? imag cs => convert real cs convert real cs + ipat * convert imag cs -@ -<>= +\end{chunk} +\begin{chunk}{COMPLPAT.dotabb} "COMPLPAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMPLPAT"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "COMPLPAT" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CPMATCH ComplexPatternMatch} \pagehead{ComplexPatternMatch}{CPMATCH} @@ -8398,7 +8399,7 @@ {\bf Exports:}\\ \cross{CPMATCH}{patternMatch} -<>= +\begin{chunk}{package CPMATCH ComplexPatternMatch} )abbrev package CPMATCH ComplexPatternMatch ++ Author: Barry Trager ++ Date Created: 30 Nov 1995 @@ -8449,13 +8450,13 @@ map(makeComplex, patternMatch(makePoly cs, pat, map(makePoly, result))) -@ -<>= +\end{chunk} +\begin{chunk}{CPMATCH.dotabb} "CPMATCH" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CPMATCH"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "CPMATCH" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CRFP ComplexRootFindingPackage} \pagehead{ComplexRootFindingPackage}{CRFP} @@ -8476,7 +8477,7 @@ \cross{CRFP}{startPolynomial} &&&& \end{tabular} -<>= +\begin{chunk}{package CRFP ComplexRootFindingPackage} )abbrev package CRFP ComplexRootFindingPackage ++ Author: J. Grabmeier ++ Date Created: 31 January 1991 @@ -9062,13 +9063,13 @@ ++ graeffe2 p determines q such that \spad{q(-z**2) = p(z)*p(-z)}. ++ Note that the roots of q are the squares of the roots of p. -@ -<>= +\end{chunk} +\begin{chunk}{CRFP.dotabb} "CRFP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CRFP"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "CRFP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CMPLXRT ComplexRootPackage} \pagehead{ComplexRootPackage}{CMPLXRT} @@ -9077,7 +9078,7 @@ {\bf Exports:}\\ \cross{CMPLXRT}{complexZeros} -<>= +\begin{chunk}{package CMPLXRT ComplexRootPackage} )abbrev package CMPLXRT ComplexRootPackage ++ Author: P. Gianni ++ Date Created: @@ -9132,13 +9133,13 @@ ris:=append([complex(first z,second z) for z in lz],ris) ris -@ -<>= +\end{chunk} +\begin{chunk}{CMPLXRT.dotabb} "CMPLXRT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CMPLXRT"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "CMPLXRT" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CTRIGMNP ComplexTrigonometricManipulations} \pagehead{ComplexTrigonometricManipulations}{CTRIGMNP} @@ -9154,7 +9155,7 @@ \cross{CTRIGMNP}{trigs} && \end{tabular} -<>= +\begin{chunk}{package CTRIGMNP ComplexTrigonometricManipulations} )abbrev package CTRIGMNP ComplexTrigonometricManipulations ++ Author: Manuel Bronstein ++ Date Created: 11 June 1993 @@ -9257,8 +9258,8 @@ for x in l repeat g := rischNormalize(g, x).func g -@ -<>= +\end{chunk} +\begin{chunk}{CTRIGMNP.dotabb} "CTRIGMNP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CTRIGMNP"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] @@ -9267,7 +9268,7 @@ "CTRIGMNP" -> "FS" "CTRIGMNP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODECONST ConstantLODE} \pagehead{ConstantLODE}{ODECONST} @@ -9276,7 +9277,7 @@ {\bf Exports:}\\ \cross{ODECONST}{constDsolve} -<>= +\begin{chunk}{package ODECONST ConstantLODE} )abbrev package ODECONST ConstantLODE ++ Author: Manuel Bronstein ++ Date Created: 18 March 1991 @@ -9359,13 +9360,13 @@ [exp(r) * cos(i), exp(r) * sin(i)] [exp(a * x) for a in zerosOf p] -@ -<>= +\end{chunk} +\begin{chunk}{ODECONST.dotabb} "ODECONST" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODECONST"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "ODECONST" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COORDSYS CoordinateSystems} \pagehead{CoordinateSystems}{COORDSYS} @@ -9390,7 +9391,7 @@ \cross{COORDSYS}{toroidal} \end{tabular} -<>= +\begin{chunk}{package COORDSYS CoordinateSystems} )abbrev package COORDSYS CoordinateSystems ++ Author: Jim Wen ++ Date Created: 12 March 1990 @@ -9580,13 +9581,13 @@ pt.3 := lambda/b*sqrt((mu**2-b**2)*(nu**2-b**2)/(b**2-a**2)) pt -@ -<>= +\end{chunk} +\begin{chunk}{COORDSYS.dotabb} "COORDSYS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COORDSYS"] "PTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PTCAT"] "COORDSYS" -> "PTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CRAPACK CRApackage} \pagehead{CRApackage}{CRAPACK} @@ -9599,7 +9600,7 @@ \cross{CRAPACK}{multiEuclideanTree} \end{tabular} -<>= +\begin{chunk}{package CRAPACK CRApackage} )abbrev package CRAPACK CRApackage ++ Description: ++ This package has no documentation @@ -9676,16 +9677,16 @@ mapUp_!(x,"*") leaves mapDown_!(x, rhs, extEuclidean) -@ -<>= +\end{chunk} +\begin{chunk}{CRAPACK.dotabb} "CRAPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CRAPACK"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "CRAPACK" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CYCLES CycleIndicators} -<>= +\begin{chunk}{CycleIndicators.input} )set break resume )sys rm -f CycleIndicators.output )spool CycleIndicators.output @@ -10150,8 +10151,8 @@ --E 47 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{CycleIndicators.help} ==================================================================== CycleIndicators examples ==================================================================== @@ -10591,7 +10592,7 @@ See Also: o )show CycleIndicators -@ +\end{chunk} \pagehead{CycleIndicators}{CYCLES} \pagepic{ps/v104cycleindicators.ps}{CYCLES}{1.00} @@ -10612,7 +10613,7 @@ \cross{CYCLES}{wreath} && \end{tabular} -<>= +\begin{chunk}{package CYCLES CycleIndicators} )abbrev package CYCLES CycleIndicators ++ Author: William H. Burge ++ Date Created: 1986 @@ -10834,13 +10835,13 @@ for k in li1 for j in 1..#li1] for i in 1..#li1] determinant a -@ -<>= +\end{chunk} +\begin{chunk}{CYCLES.dotabb} "CYCLES" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CYCLES"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "CYCLES" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CSTTOOLS CyclicStreamTools} \pagehead{CyclicStreamTools}{CSTTOOLS} @@ -10853,7 +10854,7 @@ \cross{CSTTOOLS}{cycleElt} \end{tabular} -<>= +\begin{chunk}{package CSTTOOLS CyclicStreamTools} )abbrev package CSTTOOLS CyclicStreamTools ++ Author: Clifton J. Williamson ++ Date Created: 5 December 1989 @@ -10919,13 +10920,13 @@ eq?(x,y) => return x x := rst x ; y := rst y -@ -<>= +\end{chunk} +\begin{chunk}{CSTTOOLS.dotabb} "CSTTOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CSTTOOLS"] "LZSTAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LZSTAGG"] "CSTTOOLS" -> "LZSTAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CYCLOTOM CyclotomicPolynomialPackage} \pagehead{CyclotomicPolynomialPackage}{CYCLOTOM} @@ -10938,7 +10939,7 @@ \cross{CYCLOTOM}{cyclotomicFactorization} \end{tabular} -<>= +\begin{chunk}{package CYCLOTOM CyclotomicPolynomialPackage} )abbrev package CYCLOTOM CyclotomicPolynomialPackage ++ Description: ++ This package has no description @@ -10993,13 +10994,13 @@ fr := fr * primeFactor(f,1$Integer) fr -@ -<>= +\end{chunk} +\begin{chunk}{CYCLOTOM.dotabb} "CYCLOTOM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CYCLOTOM"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "CYCLOTOM" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter D} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -11014,7 +11015,7 @@ \cross{DFINTTLS}{computeInt} \end{tabular} -<>= +\begin{chunk}{package DFINTTLS DefiniteIntegrationTools} )abbrev package DFINTTLS DefiniteIntegrationTools ++ Author: Manuel Bronstein ++ Date Created: 15 April 1992 @@ -11264,13 +11265,13 @@ lastCoef := next i -@ -<>= +\end{chunk} +\begin{chunk}{DFINTTLS.dotabb} "DFINTTLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DFINTTLS"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "DFINTTLS" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DEGRED DegreeReductionPackage} \pagehead{DegreeReductionPackage}{DEGRED} @@ -11282,7 +11283,7 @@ \cross{DEGRED}{reduce} \end{tabular} -<>= +\begin{chunk}{package DEGRED DegreeReductionPackage} )abbrev package DEGRED DegreeReductionPackage ++ Description: ++ This package has no description @@ -11327,18 +11328,18 @@ g = 1 => [s] [rootOfUnity(i,g)*s**(1/g) for i in 0..g-1] -@ -<>= +\end{chunk} +\begin{chunk}{DEGRED.dotabb} "DEGRED" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DEGRED"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "DEGRED" -> "PID" "DEGRED" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DTP DesingTreePackage} -<>= +\begin{chunk}{DesingTreePackage.input} )set break resume )sys rm -f DesingTreePackage.output )spool DesingTreePackage.output @@ -11373,8 +11374,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DesingTreePackage.help} ==================================================================== DesingTreePackage examples ==================================================================== @@ -11382,7 +11383,7 @@ See Also: o )show DesingTreePackage -@ +\end{chunk} \pagehead{DesingTreePackage}{DTP} \pagepic{ps/v104desingtreepackage.eps}{DTP}{1.00} @@ -11404,7 +11405,7 @@ \cross{DTP}{initializeParamOfPlaces} & \end{tabular} -<>= +\begin{chunk}{package DTP DesingTreePackage} )abbreviation package DTP DesingTreePackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -11827,13 +11828,13 @@ empty?(listArbDes) => ga ga-( reduce("+",[subGenus(arbD) for arbD in listArbDes]) quo$NNI 2)::INT -@ -<>= +\end{chunk} +\begin{chunk}{DTP.dotabb} "DTP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DTP"] "INFCLCT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=INFCLCT"] "DTP" -> "INFCLCT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DIOSP DiophantineSolutionPackage} \pagehead{DiophantineSolutionPackage}{DIOSP} @@ -11842,7 +11843,7 @@ {\bf Exports:}\\ \cross{DIOSP}{dioSolve} -<>= +\begin{chunk}{package DIOSP DiophantineSolutionPackage} )abbrev package DIOSP DiophantineSolutionPackage ++ Author: A. Fortenbacher ++ Date Created: 29 March 1991 @@ -12018,13 +12019,13 @@ sol.i := x flag -@ -<>= +\end{chunk} +\begin{chunk}{DIOSP.dotabb} "DIOSP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DIOSP"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "DIOSP" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DIRPROD2 DirectProductFunctions2} \pagehead{DirectProductFunctions2}{DIRPROD2} @@ -12037,7 +12038,7 @@ \cross{DIRPROD2}{scan} \end{tabular} -<>= +\begin{chunk}{package DIRPROD2 DirectProductFunctions2} )abbrev package DIRPROD2 DirectProductFunctions2 ++ Author: ++ Date Created: @@ -12084,13 +12085,13 @@ scan(f, v, b) == directProduct scan(f, v::VA, b) reduce(f, v, b) == reduce(f, v::VA, b) -@ -<>= +\end{chunk} +\begin{chunk}{DIRPROD2.dotabb} "DIRPROD2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DIRPROD2"] "VECTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=VECTCAT"] "DIRPROD2" -> "VECTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DLP DiscreteLogarithmPackage} \pagehead{DiscreteLogarithmPackage}{DLP} @@ -12099,7 +12100,7 @@ {\bf Exports:}\\ \cross{DLP}{shanksDiscLogAlgorithm} -<>= +\begin{chunk}{package DLP DiscreteLogarithmPackage} )abbrev package DLP DiscreteLogarithmPackage ++ Author: J. Grabmeier, A. Scheerhorn ++ Date Created: 12 March 1991 @@ -12179,13 +12180,13 @@ "failed" disclog pretend NonNegativeInteger -@ -<>= +\end{chunk} +\begin{chunk}{DLP.dotabb} "DLP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DLP"] "OAMONS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAMONS"] "DLP" -> "OAMONS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DISPLAY DisplayPackage} \pagehead{DisplayPackage}{DISPLAY} @@ -12201,7 +12202,7 @@ \cross{DISPLAY}{sayLength} \end{tabular} -<>= +\begin{chunk}{package DISPLAY DisplayPackage} )abbrev package DISPLAY DisplayPackage ++ Author: Robert S. Sutor ++ Date Created: September 1986 @@ -12318,13 +12319,13 @@ sum := sum + sayLength s sum -@ -<>= +\end{chunk} +\begin{chunk}{DISPLAY.dotabb} "DISPLAY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DISPLAY"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "DISPLAY" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DDFACT DistinctDegreeFactorize} \pagehead{DistinctDegreeFactorize}{DDFACT} @@ -12343,7 +12344,7 @@ \cross{DDFACT}{tracePowMod} & \end{tabular} -<>= +\begin{chunk}{package DDFACT DistinctDegreeFactorize} )abbrev package DDFACT DistinctDegreeFactorize ++ Author: P. Gianni, B.Trager ++ Date Created: 1983 @@ -12594,13 +12595,13 @@ makeFR(flist.cont::FP,[["prime",u.irr,u.pow]$FFE for u in flist.factors]) -@ -<>= +\end{chunk} +\begin{chunk}{DDFACT.dotabb} "DDFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DDFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DDFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DFSFUN DoubleFloatSpecialFunctions} The special functions in this section are developed as special cases @@ -12609,7 +12610,7 @@ \cite{Luk169,Luk269} The long term plan is to reimplement these functions using the generalized version. -<>= +\begin{chunk}{DoubleFloatSpecialFunctions.input} )set break resume )sys rm -f DoubleFloatSpecialFunctions.output )spool DoubleFloatSpecialFunctions.output @@ -13302,8 +13303,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{DoubleFloatSpecialFunctions.help} ==================================================================== DoubleFloatSpecialFunctions examples ==================================================================== @@ -13324,7 +13325,7 @@ See Also: o )show DoubleFloatSpecialFunctions -@ +\end{chunk} \pagehead{DoubleFloatSpecialFunctions}{DFSFUN} \pagepic{ps/v104doublefloatspecialfunctions.ps}{DFSFUN}{1.00} @@ -13355,7 +13356,7 @@ \cross{DFSFUN}{polygamma} && \end{tabular} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} )abbrev package DFSFUN DoubleFloatSpecialFunctions ++ Author: Bruce W. Char, Timothy Daly, Stephen M. Watt ++ Date Created: 1990 @@ -13555,7 +13556,7 @@ Gamma z == CGAMMA(z)$Lisp Gamma x == RGAMMA(x)$Lisp -@ +\end{chunk} \subsection{The Exponential Integral} \subsubsection{The E1 function} (Quoted from Segletes\cite{2}): @@ -13772,7 +13773,7 @@ is zero, infinity. Thus we need to extend the result to be a one-point completion to include infinity. -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} E1(x:R):OPR == x = 0.0::R => infinity() x > 4.0::R => @@ -13876,7 +13877,7 @@ aw:R:=- 1.0::R*log(abs(x)) + av aw::OPR error "E1: no approximation available" -@ +\end{chunk} \subsection{En:(PI,R)$\rightarrow$OPR} The $E_n$ function is computed using the recurrence relation: $$E_{n+1}(z)=\frac{1}{n}\left(e^{-z}-zE_n(z)\right)\ \ \ (n=1,2,3,\ldots)$$ @@ -13884,14 +13885,14 @@ The base case of the recursion depends on E1 above. The formula is 5.1.14 in Abramowitz and Stegun, 1965, p229\cite{4}. -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} En(n:PI,x:R):OPR == n=1 => E1(x) v:R:=retract(En((n-1)::PI,x)) w:R:=1/(n-1)*(exp(-x)-x*v) w::OPR -@ +\end{chunk} \subsection{The Ei Function} This function is based on Kin L. Lee's work\cite{8}. See also \cite{21}. \subsubsection{Abstract} @@ -13972,7 +13973,7 @@ \end{tabular}\\ \hbox{\hskip 2cm}($\gamma$ = 0.5772156649... is Euler's constant.) -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei(y:OPR):OPR == infinite? y => 1 @@ -13996,7 +13997,7 @@ ei:R:=retract(Ei6(y)) (ei/(x*exp(-x)))::OPR -@ +\end{chunk} Note that the functions $[Ei(x)-log\vert x\vert - \gamma]/x$ and $xe^{-x}Ei(x)$ have the limiting values of unity at the origin and at infinity, respectively, and that the range of the associated function @@ -14629,7 +14630,7 @@ 40 & 0.3662718481 0320025908 1177078922E-30\\ \end{tabular} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei1(y:OPR):OPR == infinite? y => 1 @@ -14678,7 +14679,7 @@ t41:=t40+0.366271848103200259081177078922E-30::R*cos(40.0::R*t) t41::OPR -@ +\end{chunk} {\vbox{\vskip 1cm}} @@ -14739,7 +14740,7 @@ 43 & -0.7551036906 1261678585 6037026797E-30\\ \end{tabular} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei2(y:OPR):OPR == x:R:=retract(y) @@ -14790,7 +14791,7 @@ t44:=t43-0.755103690612616785856037026797E-30::R*cos(43.0::R*t) t44::OPR -@ +\end{chunk} {\vbox{\vskip 1cm}} {\bf Table 3: Chebyshev Coefficients - Continued} @@ -14844,7 +14845,7 @@ \noindent ($\gamma$=0.5772156649\ 0153286060\ 6512090082\ E\ 00) -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei3(y:OPR):OPR == x:R:=retract(y) @@ -14886,7 +14887,7 @@ t34:=t33+0.190062601281619148526680482237E-29::R*cos(33.0::R*t) t34::OPR -@ +\end{chunk} {\vbox{\vskip 1cm}} {\bf Table 3: Chebyshev Coefficients - Continued} @@ -14952,7 +14953,7 @@ 49 & -0.7701650548 1663660609 8827057102E-30\\ \end{tabular} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei4(y:OPR):OPR == x:R:=retract(y) @@ -15009,7 +15010,7 @@ t50:=t49-0.770165054816636606098827057102E-30::R*cos(49.0::R*t) t50::OPR -@ +\end{chunk} {\vbox{\vskip 1cm}} @@ -15073,7 +15074,7 @@ 47 & -0.4884890469 2437855322 4914645512E-30\\ \end{tabular} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei5(y:OPR):OPR == x:R:=retract(y) @@ -15128,7 +15129,7 @@ t48:=t42-0.488489046924378553224914645512E-30::R*cos(47.0::R*t) t48::OPR -@ +\end{chunk} {\vbox{\vskip 1cm}} {\bf Table 3: Chebyshev Coefficients - Continued} @@ -15190,7 +15191,7 @@ 46 & -0.6062142653 2093450576 7865286306E-30\\ \end{tabular} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} Ei6(y:OPR):OPR == infinite? y => 1 @@ -15246,7 +15247,7 @@ t47:=t46-0.606214265320934505767865286306E-30::R*cos(46.0::R*t) t47::OPR -@ +\end{chunk} {\vbox{\vskip 1cm}} @@ -15437,7 +15438,7 @@ Axiom uses the power series at the zero point: \[C(z)=\sqrt{\frac{2z}{\pi}}\sum_{k=0}^n{(-1)^k\frac{z^{2k}}{(4k+1)(2k)!}}\] -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} fresnelC(z:F):F == z < 0 => error "fresnelC not defined for negative argument" z = 0 => 0 @@ -15446,7 +15447,7 @@ reduce(_+,[(-1)**k*z**(2*k)/(factorial(2*k)*(4*k+1))_ for k in 0..n])$LF -@ +\end{chunk} \subsubsection{fresnelS} The fresnelS is the complex portion of the Fresnel integral, @@ -15480,7 +15481,7 @@ \[S(z)= \sqrt{\frac{2z}{\pi}}\sum_{k=0}^n{(-1)^k\frac{z^{2k+1}}{(4k+3)(2k+1)!}}\] -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} fresnelS(z:F):F == z < 0 => error "fresnelS not defined for negative argument" z = 0 => 0 @@ -15490,9 +15491,9 @@ [(-1)**k*(z**(2*k+1))/(factorial(2*k+1)*(4*k+3)) _ for k in 0..n])$LF -@ +\end{chunk} -<>= +\begin{chunk}{package DFSFUN DoubleFloatSpecialFunctions} polygamma(k,z) == CPSI(k, z)$Lisp polygamma(k,x) == RPSI(k, x)$Lisp @@ -15567,13 +15568,13 @@ eta := 2 * athird * (-z) ** (3*ahalf) (-z*athird)**ahalf * ( besselJ(-athird,eta) - besselJ(athird,eta) ) -@ -<>= +\end{chunk} +\begin{chunk}{DFSFUN.dotabb} "DFSFUN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DFSFUN"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "DFSFUN" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DBLRESP DoubleResultantPackage} \pagehead{DoubleResultantPackage}{DBLRESP} @@ -15582,7 +15583,7 @@ {\bf Exports:}\\ \cross{DBLRESP}{doubleResultant} -<>= +\begin{chunk}{package DBLRESP DoubleResultantPackage} )abbrev package DBLRESP DoubleResultantPackage ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -15633,13 +15634,13 @@ UP23 definingPolynomial()) remove0 resultant(r, UP22 d) -@ -<>= +\end{chunk} +\begin{chunk}{DBLRESP.dotabb} "DBLRESP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DBLRESP"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "DBLRESP" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DRAWCX DrawComplex} \pagehead{DrawComplex}{DRAWCX} @@ -15654,7 +15655,7 @@ \cross{DRAWCX}{setClipValue} \end{tabular} -<>= +\begin{chunk}{package DRAWCX DrawComplex} )abbrev package DRAWCX DrawComplex ++ Description: ++ \axiomType{DrawComplex} provides some facilities @@ -15826,15 +15827,15 @@ setClipValue clip == clipValue := clip -@ -<>= +\end{chunk} +\begin{chunk}{DRAWCX.dotabb} "DRAWCX" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DRAWCX"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "DRAWCX" -> "FIELD" "DRAWCX" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DRAWHACK DrawNumericHack} \pagehead{DrawNumericHack}{DRAWHACK} @@ -15843,7 +15844,7 @@ {\bf Exports:}\\ \cross{DRAWHACK}{coerce} -<>= +\begin{chunk}{package DRAWHACK DrawNumericHack} )abbrev package DRAWHACK DrawNumericHack ++ Author: Manuel Bronstein ++ Date Created: 21 Feb 1990 @@ -15872,13 +15873,13 @@ coerce s == map(numeric$Numeric(R),s)$SegmentBindingFunctions2(Expression R, Float) -@ -<>= +\end{chunk} +\begin{chunk}{DRAWHACK.dotabb} "DRAWHACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DRAWHACK"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "DRAWHACK" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DROPT0 DrawOptionFunctions0} \pagehead{DrawOptionFunctions0}{DROPT0} @@ -15904,7 +15905,7 @@ \cross{DROPT0}{viewpoint} & \end{tabular} -<>= +\begin{chunk}{package DROPT0 DrawOptionFunctions0} )abbrev package DROPT0 DrawOptionFunctions0 ++ Description: ++ This package has no description @@ -16072,13 +16073,13 @@ case "failed" => s u::UNIT -@ -<>= +\end{chunk} +\begin{chunk}{DROPT0.dotabb} "DROPT0" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DROPT0"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "DROPT0" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DROPT1 DrawOptionFunctions1} \pagehead{DrawOptionFunctions1}{DROPT1} @@ -16087,7 +16088,7 @@ {\bf Exports:}\\ \cross{DROPT1}{option} -<>= +\begin{chunk}{package DROPT1 DrawOptionFunctions1} )abbrev package DROPT1 DrawOptionFunctions1 ++ Description: ++ This package has no description @@ -16112,13 +16113,13 @@ (u := option(l, s)@Union(Any, "failed")) case "failed" => "failed" retract(u::Any)$AnyFunctions1(S) -@ -<>= +\end{chunk} +\begin{chunk}{DROPT1.dotabb} "DROPT1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DROPT1"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "DROPT1" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package D01AGNT d01AgentsPackage} \pagehead{d01AgentsPackage}{D01AGNT} @@ -16140,7 +16141,7 @@ \cross{D01AGNT}{singularitiesOf} &&& \end{tabular} -<>= +\begin{chunk}{package D01AGNT d01AgentsPackage} )abbrev package D01AGNT d01AgentsPackage ++ Author: Brian Dupee ++ Date Created: March 1994 @@ -16415,13 +16416,13 @@ insert!(r)$IntegrationFunctionsTable e -@ -<>= +\end{chunk} +\begin{chunk}{D01AGNT.dotabb} "D01AGNT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=D01AGNT"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "D01AGNT" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package D01WGTS d01WeightsPackage} \pagehead{d01WeightsPackage}{D01WGTS} @@ -16434,7 +16435,7 @@ \cross{D01WGTS}{exprHasWeightCosWXorSinWX} \end{tabular} -<>= +\begin{chunk}{package D01WGTS d01WeightsPackage} )abbrev package D01WGTS d01WeightsPackage ++ Author: Brian Dupee ++ Date Created: July 1994 @@ -16690,13 +16691,13 @@ bestWeight ans else "failed" -@ -<>= +\end{chunk} +\begin{chunk}{D01WGTS.dotabb} "D01WGTS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=D01WGTS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "D01WGTS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package D02AGNT d02AgentsPackage} \pagehead{d02AgentsPackage}{D02AGNT} @@ -16716,7 +16717,7 @@ \cross{D02AGNT}{systemSizeIF} \end{tabular} -<>= +\begin{chunk}{package D02AGNT d02AgentsPackage} )abbrev package D02AGNT d02AgentsPackage ++ Author: Brian Dupee ++ Date Created: May 1994 @@ -17005,13 +17006,13 @@ insert!(r)$ODEIntensityFunctionsTable ssf -@ -<>= +\end{chunk} +\begin{chunk}{D02AGNT.dotabb} "D02AGNT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=D02AGNT"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "D02AGNT" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package D03AGNT d03AgentsPackage} \pagehead{d03AgentsPackage}{D03AGNT} @@ -17025,7 +17026,7 @@ \cross{D03AGNT}{varList} \end{tabular} -<>= +\begin{chunk}{package D03AGNT d03AgentsPackage} )abbrev package D03AGNT d03AgentsPackage ++ Author: Brian Dupee ++ Date Created: May 1994 @@ -17117,13 +17118,13 @@ obj:DF := retract(ob)$AnyFunctions1(DF) positive?(obj) -@ -<>= +\end{chunk} +\begin{chunk}{D03AGNT.dotabb} "D03AGNT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=D03AGNT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "D03AGNT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter E} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -17141,7 +17142,7 @@ \cross{EP}{generalizedEigenvectors} \end{tabular} -<>= +\begin{chunk}{package EP EigenPackage} )abbrev package EP EigenPackage ++ Author: P. Gianni ++ Date Created: summer 1986 @@ -17387,16 +17388,16 @@ intAlgEig(alpha,A,1$NNI)]$EigenForm,algSol) append(ratSol,algSol) -@ -<>= +\end{chunk} +\begin{chunk}{EP.dotabb} "EP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "EP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EF ElementaryFunction} -<>= +\begin{chunk}{ElementaryFunction.input} )set break resume )sys rm -f ElementaryFunction.output )spool ElementaryFunction.output @@ -17469,11 +17470,11 @@ --R Type: Expression Integer --E 5 -@ +\end{chunk} Note that both Mathematica and Maxima return this result as $3 sec(3*x+6*y)^2$ but Maple returns the same result as Axiom. They are equivalent results. -<>= +\begin{chunk}{ElementaryFunction.input} --S 6 of 32 D(tan(3*x+6*y),x) @@ -17492,10 +17493,10 @@ --R Type: Expression Integer --E 7 -@ +\end{chunk} Note that Mathematica and Maxima return $-3 csc(3x+6y)^2$ and Maple returns the same form as Axiom. They are equivalent. -<>= +\begin{chunk}{ElementaryFunction.input} --S 8 of 32 D(cot(3*x+6*y),x) @@ -17576,12 +17577,12 @@ --R Type: Expression Integer --E 15 -@ +\end{chunk} Mathematica, Maple, and Maxima give: \[\frac{3}{(3*x+6*y)^2 \sqrt{1 - \frac{1}{(3*x+6*y)^2}}}\] which proceeds directly from the formula for the derivative of asec: \[\frac{d}{dx}arcsec(x) = \frac{1}{x\sqrt{x^2-1}}\] -<>= +\begin{chunk}{ElementaryFunction.input} --S 16 of 32 D(asec(3*x+6*y),x) @@ -17595,10 +17596,10 @@ --R Type: Expression Integer --E 16 -@ +\end{chunk} If we use the same formula for this example: \[\frac{1}{(3*x+6*y)\sqrt{(3*x+6*y)^2-1}} d(3*x+6*y)/dx\] -<>= +\begin{chunk}{ElementaryFunction.input} --S 17 of 32 3/((3*x+6*y)*sqrt((3*x+6*y)^2-1)) @@ -17612,12 +17613,12 @@ --R Type: Expression Integer --E 17 -@ +\end{chunk} Mathematica, Maple, and Maxima give \[- \frac{3}{(3*x+6*y)^2 \sqrt{1 - \frac{1}{(3*x+6*y)^2}}}\] which is just the negative of the above result and we can see that the same analysis applies to explain the results. -<>= +\begin{chunk}{ElementaryFunction.input} --S 18 of 32 D(acsc(3*x+6*y),x) @@ -17647,11 +17648,11 @@ --R Type: Expression Integer --E 20 -@ +\end{chunk} Mathematica and Maxima return \[3 sech(3x+6y)^2\] Maple returns Axiom's answer. Both are equivalent. -<>= +\begin{chunk}{ElementaryFunction.input} --S 21 of 32 D(tanh(3*x+6*y),x) @@ -17670,10 +17671,11 @@ --R Type: Expression Integer --E 22 +\end{chunk} Mathematica and Maxima return \[-3 csch(3*x+6*y)^2\] Maple returns Axiom's answer. Both are equivalent. -<>= +\begin{chunk}{ElementaryFunction.input} --S 23 of 32 D(coth(3*x+6*y),x) @@ -17720,11 +17722,11 @@ --R Type: Expression Integer --E 27 -@ +\end{chunk} Mathematica and Maple show \[\frac{3}{\sqrt{-1+3*x+6*y}\sqrt{1+3*x+6*y}}\] Maxima gives Axiom's answer. Both are equivalent, just factored forms. -<>= +\begin{chunk}{ElementaryFunction.input} --S 28 of 32 D(acosh(3*x+6*y),x) @@ -17760,7 +17762,7 @@ --R Type: Expression Integer --E 30 -@ +\end{chunk} Mathematica gives \[- \frac{3}{(3x+6y)\sqrt{\frac{1-3x-6y}{1_3x+6y}}(1+3x+6y)}\] Maxima gives @@ -17770,7 +17772,7 @@ Axiom cannot simplify these differences to zero but Maxima does which shows they are all equivalent answers. -<>= +\begin{chunk}{ElementaryFunction.input} --S 31 of 32 D(asech(3*x+6*y),x) @@ -17784,13 +17786,13 @@ --R Type: Expression Integer --E 31 -@ +\end{chunk} Mathematica, Maple, and Maxima all generate the answer \[- \frac{3}{(3x+6y)^2 \sqrt{1+\frac{1}{(3x+6y)^2}}} \] Axiom cannot simplify these differences to zero but Maxima does which shows they are all equivalent answers. -<>= +\begin{chunk}{ElementaryFunction.input} --S 32 of 32 D(acsch(3*x+6*y),x) @@ -17806,8 +17808,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ElementaryFunction.help} ==================================================================== ElementaryFunction examples ==================================================================== @@ -17936,7 +17938,7 @@ See Also: o )show ElementaryFunction -@ +\end{chunk} \pagehead{ElementaryFunction}{EF} \pagepic{ps/v104elementaryfunction.ps}{EF}{1.00} @@ -18003,7 +18005,7 @@ \cross{EF}{tanh} & \end{tabular} -<>= +\begin{chunk}{package EF ElementaryFunction} )abbrev package EF ElementaryFunction ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -18861,13 +18863,13 @@ derivative(opasech,(x:F):F +-> - inv(x * sqrt(1 - x**2))) derivative(opacsch,(x:F):F +-> - inv(x * sqrt(1 + x**2))) -@ -<>= +\end{chunk} +\begin{chunk}{EF.dotabb} "EF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "EF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DEFINTEF ElementaryFunctionDefiniteIntegration} \pagehead{ElementaryFunctionDefiniteIntegration}{DEFINTEF} @@ -18880,7 +18882,7 @@ \cross{DEFINTEF}{integrate} \end{tabular} -<>= +\begin{chunk}{package DEFINTEF ElementaryFunctionDefiniteIntegration} )abbrev package DEFINTEF ElementaryFunctionDefiniteIntegration ++ Author: Manuel Bronstein ++ Date Created: 14 April 1992 @@ -19091,13 +19093,13 @@ ans := concat_!(ans, [v::OFE]) [ans] -@ -<>= +\end{chunk} +\begin{chunk}{DEFINTEF.dotabb} "DEFINTEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DEFINTEF"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "DEFINTEF" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LODEEF ElementaryFunctionLODESolver} \pagehead{ElementaryFunctionLODESolver}{LODEEF} @@ -19106,7 +19108,7 @@ {\bf Exports:}\\ \cross{LODEEF}{solve} -<>= +\begin{chunk}{package LODEEF ElementaryFunctionLODESolver} )abbrev package LODEEF ElementaryFunctionLODESolver ++ Author: Manuel Bronstein ++ Date Created: 3 February 1994 @@ -19362,13 +19364,13 @@ doVarParams(op, g, homosolve1(op, rec.basis, k, x), x) [(rec.particular)::F, homosolve1(op, rec.basis, k, x)] -@ -<>= +\end{chunk} +\begin{chunk}{LODEEF.dotabb} "LODEEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LODEEF"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "LODEEF" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODEEF ElementaryFunctionODESolver} \pagehead{ElementaryFunctionODESolver}{ODEEF} @@ -19377,7 +19379,7 @@ {\bf Exports:}\\ \cross{ODEEF}{solve} -<>= +\begin{chunk}{package ODEEF ElementaryFunctionODESolver} )abbrev package ODEEF ElementaryFunctionODESolver ++ Author: Manuel Bronstein ++ Date Created: 18 March 1991 @@ -19639,13 +19641,13 @@ case "failed" or degree(p := univariate(numer f, k)) > 1 => "failed" coefficient(p, 1) / (r::P) -@ -<>= +\end{chunk} +\begin{chunk}{ODEEF.dotabb} "ODEEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODEEF"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "ODEEF" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SIGNEF ElementaryFunctionSign} \pagehead{ElementaryFunctionSign}{SIGNEF} @@ -19654,7 +19656,7 @@ {\bf Exports:}\\ \cross{SIGNEF}{sign} -<>= +\begin{chunk}{package SIGNEF ElementaryFunctionSign} )abbrev package SIGNEF ElementaryFunctionSign ++ Author: Manuel Bronstein ++ Date Created: 25 Aug 1989 @@ -19846,13 +19848,13 @@ s "failed" -@ -<>= +\end{chunk} +\begin{chunk}{SIGNEF.dotabb} "SIGNEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SIGNEF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SIGNRF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EFSTRUC ElementaryFunctionStructurePackage} \pagehead{ElementaryFunctionStructurePackage}{EFSTRUC} @@ -19868,7 +19870,7 @@ \cross{EFSTRUC}{validExponential} \end{tabular} -<>= +\begin{chunk}{package EFSTRUC ElementaryFunctionStructurePackage} )abbrev package EFSTRUC ElementaryFunctionStructurePackage ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -20261,15 +20263,15 @@ normalize f == rtNormalize localnorm realElementary f normalize(f, x) == rtNormalize(rischNormalize(realElementary(f,x),x).func) -@ -<>= +\end{chunk} +\begin{chunk}{EFSTRUC.dotabb} "EFSTRUC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EFSTRUC"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "EFSTRUC" -> "ACF" "EFSTRUC" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EFULS ElementaryFunctionsUnivariateLaurentSeries} \pagehead{ElementaryFunctionsUnivariateLaurentSeries}{EFULS} @@ -20333,7 +20335,7 @@ \cross{EFULS}{?**?} & \end{tabular} -<>= +\begin{chunk}{package EFULS ElementaryFunctionsUnivariateLaurentSeries} )abbrev package EFULS ElementaryFunctionsUnivariateLaurentSeries ++ Author: Clifton J. Williamson ++ Date Created: 6 February 1990 @@ -20678,13 +20680,13 @@ error "acot: leading coefficient not invertible" (cc :: ULS) - integrate(differentiate(uls) * (z :: ULS)) -@ -<>= +\end{chunk} +\begin{chunk}{EFULS.dotabb} "EFULS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EFULS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "EFULS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EFUPXS ElementaryFunctionsUnivariatePuiseuxSeries} \pagehead{ElementaryFunctionsUnivariatePuiseuxSeries}{EFUPXS} @@ -20748,7 +20750,7 @@ \cross{EFUPXS}{?**?} & \end{tabular} -<>= +\begin{chunk}{package EFUPXS ElementaryFunctionsUnivariatePuiseuxSeries} )abbrev package EFUPXS ElementaryFunctionsUnivariatePuiseuxSeries ++ Author: Clifton J. Williamson ++ Date Created: 20 February 1990 @@ -21006,13 +21008,13 @@ asech upxs == applyOrError(asechIfCan,"asech",upxs) acsch upxs == applyOrError(acschIfCan,"acsch",upxs) -@ -<>= +\end{chunk} +\begin{chunk}{EFUPXS.dotabb} "EFUPXS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EFUPXS"] "UPXSCCA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UPXSCCA"] "EFUPXS" -> "UPXSCCA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTEF ElementaryIntegration} \pagehead{ElementaryIntegration}{INTEF} @@ -21027,7 +21029,7 @@ \cross{INTEF}{lflimitedint} \end{tabular} -<>= +\begin{chunk}{package INTEF ElementaryIntegration} )abbrev package INTEF ElementaryIntegration ++ Author: Manuel Bronstein ++ Date Created: 1 February 1988 @@ -21253,7 +21255,7 @@ (x2:F):F +-> differentiate(x2, x), differentiate(t::F, x)::UP)) -@ +\end{chunk} Bug \#100 is an infinite loop that eventually kills Axiom from the input \begin{verbatim} @@ -21294,7 +21296,7 @@ when integrating rational functions. It is unclear whether this is the correct fix. -<>= +\begin{chunk}{package INTEF ElementaryIntegration} lfextendedint(f, x, g) == empty?(l := varselect(kernels f, x)) => [x::F * f, 0] symbolIfCan(k := kmax(l)) @@ -21311,13 +21313,13 @@ has?(operator k, ALGOP) => alglfextint(f, k, l, x, g) unkextint(f, x, g) -@ +\end{chunk} This is part of the fix for bug 100. Line 2 of this function used to read: \begin{verbatim} symbolIfCan(k := kmax(l := union(l, vark(lu, x)))) case SE => \end{verbatim} See the above discussion for why this causes an infinite loop. -<>= +\begin{chunk}{package INTEF ElementaryIntegration} lflimitedint(f, x, lu) == empty?(l := varselect(kernels f, x)) => [x::F * f, empty()] symbolIfCan(k := kmax(l)) case SE => @@ -21429,15 +21431,15 @@ [multivariate(u1.answer.mainpart, k) + u2.mainpart, concat(u2.limitedlogs, l)] -@ -<>= +\end{chunk} +\begin{chunk}{INTEF.dotabb} "INTEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTEF"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "INTEF" -> "ACF" "INTEF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RDEEF ElementaryRischDE} \pagehead{ElementaryRischDE}{RDEEF} @@ -21446,7 +21448,7 @@ {\bf Exports:}\\ \cross{RDEEF}{rischDE} -<>= +\begin{chunk}{package RDEEF ElementaryRischDE} )abbrev package RDEEF ElementaryRischDE ++ Author: Manuel Bronstein ++ Date Created: 1 February 1988 @@ -21820,15 +21822,15 @@ RRF2F rrf == rrf.mainpart + +/[v.coeff*log(v.logand) for v in rrf.limitedlogs] -@ -<>= +\end{chunk} +\begin{chunk}{RDEEF.dotabb} "RDEEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RDEEF"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "RDEEF" -> "ACF" "RDEEF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RDEEFS ElementaryRischDESystem} \pagehead{ElementaryRischDESystem}{RDEEFS} @@ -21837,7 +21839,7 @@ {\bf Exports:}\\ \cross{RDEEFS}{rischDEsys} -<>= +\begin{chunk}{package RDEEFS ElementaryRischDESystem} )abbrev package RDEEFS ElementaryRischDESystem ++ Author: Manuel Bronstein ++ Date Created: 12 August 1992 @@ -21930,15 +21932,15 @@ -- cheat(n, f, g1, g2, x, limint, extint) error "rischDEsys: can only handle rational functions for now" -@ -<>= +\end{chunk} +\begin{chunk}{RDEEFS.dotabb} "RDEEFS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RDEEFS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "RDEEFS" -> "ACF" "RDEEFS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ELFUTS EllipticFunctionsUnivariateTaylorSeries} \pagehead{EllipticFunctionsUnivariateTaylorSeries}{ELFUTS} @@ -21952,7 +21954,7 @@ \cross{ELFUTS}{sncndn} \end{tabular} -<>= +\begin{chunk}{package ELFUTS EllipticFunctionsUnivariateTaylorSeries} )abbrev package ELFUTS EllipticFunctionsUnivariateTaylorSeries ++ Author: Bill Burge, Clifton J. Williamson ++ Date Created: 1986 @@ -22006,13 +22008,13 @@ cn(x,k) == series sncndn.(coefficients x,k).2 dn(x,k) == series sncndn.(coefficients x,k).3 -@ -<>= +\end{chunk} +\begin{chunk}{ELFUTS.dotabb} "ELFUTS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ELFUTS"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "ELFUTS" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EQ2 EquationFunctions2} \pagehead{EquationFunctions2}{EQ2} @@ -22021,7 +22023,7 @@ {\bf Exports:}\\ \cross{EQ2}{map} -<>= +\begin{chunk}{package EQ2 EquationFunctions2} )abbrev package EQ2 EquationFunctions2 ++ Author: ++ Date Created: @@ -22042,13 +22044,13 @@ == add map(fn, eqn) == equation(fn lhs eqn, fn rhs eqn) -@ -<>= +\end{chunk} +\begin{chunk}{EQ2.dotabb} "EQ2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EQ2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "EQ2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ERROR ErrorFunctions} \pagehead{ErrorFunctions}{ERROR} @@ -22057,7 +22059,7 @@ {\bf Exports:}\\ \cross{ERROR}{error} -<>= +\begin{chunk}{package ERROR ErrorFunctions} )abbrev package ERROR ErrorFunctions ++ Author: Robert S. Sutor ++ Date Created: 29 May 1990 @@ -22140,16 +22142,16 @@ for x in l repeat s := concat [s," ",x] doit s -@ -<>= +\end{chunk} +\begin{chunk}{ERROR.dotabb} "ERROR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ERROR"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "ERROR" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GBEUCLID EuclideanGroebnerBasisPackage} -<>= +\begin{chunk}{EuclideanGroebnerBasisPackage.input} )set break resume )sys rm -f EuclideanGroebnerBasisPackage.output )spool EuclideanGroebnerBasisPackage.output @@ -23214,8 +23216,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{EuclideanGroebnerBasisPackage.help} ==================================================================== euclideanGroebner examples ==================================================================== @@ -23271,7 +23273,7 @@ o )show GeneralDistributedMultivariatePolynomial o )show GroebnerPackage -@ +\end{chunk} \pagehead{EuclideanGroebnerBasisPackage}{GBEUCLID} \pagepic{ps/v104euclideangroebnerbasispackage.ps}{GBEUCLID}{1.00} @@ -23281,7 +23283,7 @@ \cross{GBEUCLID}{euclideanNormalForm} \end{tabular} -<>= +\begin{chunk}{package GBEUCLID EuclideanGroebnerBasisPackage} )abbrev package GBEUCLID EuclideanGroebnerBasisPackage ++ Authors: Gebauer, Moeller ++ Date Created: 12-1-86 @@ -23821,15 +23823,15 @@ prinb(2) -@ -<>= +\end{chunk} +\begin{chunk}{GBEUCLID.dotabb} "GBEUCLID" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GBEUCLID"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "GBEUCLID" -> "PFECAT" "GBEUCLID" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EVALCYC EvaluateCycleIndicators} \pagehead{EvaluateCycleIndicators}{EVALCYC} @@ -23838,7 +23840,7 @@ {\bf Exports:}\\ \cross{EVALCYC}{eval} -<>= +\begin{chunk}{package EVALCYC EvaluateCycleIndicators} )abbrev package EVALCYC EvaluateCycleIndicators ++ Author: William H. Burge ++ Date Created: 1986 @@ -23882,13 +23884,13 @@ then 0 else ((lc spol)* evp(fn,degree spol)) + eval(fn,red spol) -@ -<>= +\end{chunk} +\begin{chunk}{EVALCYC.dotabb} "EVALCYC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EVALCYC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "EVALCYC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ESCONT ExpertSystemContinuityPackage} \pagehead{ExpertSystemContinuityPackage}{ESCONT} @@ -23909,7 +23911,7 @@ \cross{ESCONT}{zerosOf} & \end{tabular} -<>= +\begin{chunk}{package ESCONT ExpertSystemContinuityPackage} )abbrev package ESCONT ExpertSystemContinuityPackage ++ Author: Brian Dupee ++ Date Created: May 1994 @@ -24161,13 +24163,13 @@ ls := [singularitiesOf(u,vars,range) for u in entries(v)$VEDF] concat(ls)$SDF -@ -<>= +\end{chunk} +\begin{chunk}{ESCONT.dotabb} "ESCONT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ESCONT"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "ESCONT" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ESCONT1 ExpertSystemContinuityPackage1} \pagehead{ExpertSystemContinuityPackage1}{ESCONT1} @@ -24176,7 +24178,7 @@ {\bf Exports:}\\ \cross{ESCONT1}{in?} -<>= +\begin{chunk}{package ESCONT1 ExpertSystemContinuityPackage1} )abbrev package ESCONT1 ExpertSystemContinuityPackage1 ++ Author: Brian Dupee ++ Date Created: May 1994 @@ -24222,13 +24224,13 @@ b:Boolean := (A < p)$DF (a and b)@Boolean -@ -<>= +\end{chunk} +\begin{chunk}{ESCONT1.dotabb} "ESCONT1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ESCONT1"] "Package" [color="#FF4488"] "ESCONT1" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ESTOOLS ExpertSystemToolsPackage} \pagehead{ExpertSystemToolsPackage}{ESTOOLS} @@ -24274,7 +24276,7 @@ \cross{ESTOOLS}{vedf2vef} &&&& \end{tabular} -<>= +\begin{chunk}{package ESTOOLS ExpertSystemToolsPackage} )abbrev package ESTOOLS ExpertSystemToolsPackage ++ Author: Brian Dupee ++ Date Created: May 1994 @@ -24646,13 +24648,13 @@ ifr:Record(key:Symbol,entry:Any) := [intensityFunctions@Symbol,ifa] construct([ifr])$Result -@ -<>= +\end{chunk} +\begin{chunk}{ESTOOLS.dotabb} "ESTOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ESTOOLS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ESTOOLS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ESTOOLS1 ExpertSystemToolsPackage1} \pagehead{ExpertSystemToolsPackage1}{ESTOOLS1} @@ -24661,7 +24663,7 @@ {\bf Exports:}\\ \cross{ESTOOLS1}{neglist} -<>= +\begin{chunk}{package ESTOOLS1 ExpertSystemToolsPackage1} )abbrev package ESTOOLS1 ExpertSystemToolsPackage1 ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -24679,13 +24681,13 @@ I ==> add neglist(l:List R1):List R1 == [u for u in l | negative?(u)$R1] -@ -<>= +\end{chunk} +\begin{chunk}{ESTOOLS1.dotabb} "ESTOOLS1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ESTOOLS1"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "ESTOOLS1" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ESTOOLS2 ExpertSystemToolsPackage2} \pagehead{ExpertSystemToolsPackage2}{ESTOOLS2} @@ -24694,7 +24696,7 @@ {\bf Exports:}\\ \cross{ESTOOLS2}{map} -<>= +\begin{chunk}{package ESTOOLS2 ExpertSystemToolsPackage2} )abbrev package ESTOOLS2 ExpertSystemToolsPackage2 ++ Author: Brian Dupee ++ Date Created: February 1995 @@ -24715,15 +24717,15 @@ map(f:R1->R2,m:Matrix R1):Matrix R2 == matrix([[f u for u in v] for v in listOfLists(m)$(Matrix R1)])$(Matrix R2) -@ -<>= +\end{chunk} +\begin{chunk}{ESTOOLS2.dotabb} "ESTOOLS2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ESTOOLS2"] "LMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LMODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "ESTOOLS2" -> "LMODULE" "ESTOOLS2" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EXPR2 ExpressionFunctions2} \pagehead{ExpressionFunctions2}{EXPR2} @@ -24732,7 +24734,7 @@ {\bf Exports:}\\ \cross{EXPR2}{map} -<>= +\begin{chunk}{package EXPR2 ExpressionFunctions2} )abbrev package EXPR2 ExpressionFunctions2 ++ Lifting of maps to Expressions ++ Author: Manuel Bronstein @@ -24757,13 +24759,13 @@ else map(f, r) == map(x1 +-> map(f, x1), retract r)$E2 -@ -<>= +\end{chunk} +\begin{chunk}{EXPR2.dotabb} "EXPR2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXPR2"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "EXPR2" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EXPRSOL ExpressionSolve} @@ -24787,9 +24789,9 @@ \begin{verbatim} I'd really like to be able to specify a function that works for all domains - in a category. For example, [[x +-> y(x)^2 + sin x + x]] should \lq work\rq\ - for [[EXPR INT]] as well as for [[UTS INT]], both being domains having - [[TranscendentalFunctionCategory]]. + in a category. For example, x +-> y(x)^2 + sin x + x should work + for EXPR INT as well as for UTS INT, both being domains having + TranscendentalFunctionCategory. \end{verbatim} \pagehead{ExpressionSolve}{EXPRSOL} @@ -24801,7 +24803,7 @@ \cross{EXPRSOL}{seriesSolve} \end{tabular} -<>= +\begin{chunk}{package EXPRSOL ExpressionSolve} )abbrev package EXPRSOL ExpressionSolve ++ Description: ++ This package has no description @@ -24823,8 +24825,8 @@ replaceDiffs: (F, OP, Symbol) -> F Implementation == add -<> -@ +\getchunk{implementation: EXPRSOL ExpressionSolve} +\end{chunk} The general method is to transform the given expression into a form which can then be compiled. There is currently no other way in Axiom to transform an @@ -24846,7 +24848,8 @@ \end{verbatim} -<>= +\begin{chunk}{package EXPRSOL ExpressionSolve} +\getchunk{implementation: EXPRSOL ExpressionSolve} opelt := operator("elt"::Symbol)$OP opdiff := operator("D"::Symbol)$OP opcoerce := operator("coerce"::Symbol)$OP @@ -24881,13 +24884,13 @@ f := compiledFunction(ex, name op, sy)$MKF seriesSolve(x+->f(x, monomial(1,1)$UTSSUPF), l)_ $TaylorSolve(F, UTSF, UTSSUPF) -@ -<>= +\end{chunk} +\begin{chunk}{EXPRSOL.dotabb} "EXPRSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXPRSOL"] "UTSSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UTSSOL"] "EXPRSOL" -> "UTSSOL" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ES1 ExpressionSpaceFunctions1} \pagehead{ExpressionSpaceFunctions1}{ES1} @@ -24896,7 +24899,7 @@ {\bf Exports:}\\ \cross{ES1}{map} -<>= +\begin{chunk}{package ES1 ExpressionSpaceFunctions1} )abbrev package ES1 ExpressionSpaceFunctions1 ++ Author: Manuel Bronstein ++ Date Created: 23 March 1988 @@ -24920,13 +24923,13 @@ ((p::None) pretend (List S -> S)) args error "Operator does not have required property" -@ -<>= +\end{chunk} +\begin{chunk}{ES1.dotabb} "ES1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ES1"] "EVALAB" [color="#4488FF",href="bookvol10.2.pdf#nameddest=EVALAB"] "ES1" -> "EVALAB" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ES2 ExpressionSpaceFunctions2} \pagehead{ExpressionSpaceFunctions2}{ES2} @@ -24935,7 +24938,7 @@ {\bf Exports:}\\ \cross{ES2}{map} -<>= +\begin{chunk}{package ES2 ExpressionSpaceFunctions2} )abbrev package ES2 ExpressionSpaceFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 23 March 1988 @@ -24954,13 +24957,13 @@ map(f, k) == (operator(operator k)$F) [f x for x in argument k]$List(F) -@ -<>= +\end{chunk} +\begin{chunk}{ES2.dotabb} "ES2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ES2"] "EVALAB" [color="#4488FF",href="bookvol10.2.pdf#nameddest=EVALAB"] "ES2" -> "EVALAB" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EXPRODE ExpressionSpaceODESolver} \pagehead{ExpressionSpaceODESolver}{EXPRODE} @@ -24969,7 +24972,7 @@ {\bf Exports:}\\ \cross{EXPRODE}{seriesSolve} -<>= +\begin{chunk}{package EXPRODE ExpressionSpaceODESolver} )abbrev package EXPRODE ExpressionSpaceODESolver ++ Author: Manuel Bronstein ++ Date Created: 5 Mar 1990 @@ -25170,13 +25173,13 @@ center := rhs eqx coerce(mpsode(l0,[compiledFunction(f,sy)$MKL for f in l])$ODE)$AL1 -@ -<>= +\end{chunk} +\begin{chunk}{EXPRODE.dotabb} "EXPRODE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXPRODE"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "EXPRODE" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OMEXPR ExpressionToOpenMath} \pagehead{ExpressionToOpenMath}{OMEXPR} @@ -25185,7 +25188,7 @@ {\bf Exports:}\\ \cross{OMEXPR}{OMwrite} -<>= +\begin{chunk}{package OMEXPR ExpressionToOpenMath} )abbrev package OMEXPR ExpressionToOpenMath ++ Author: Mike Dewar & Vilya Harvey ++ Date Created: @@ -25462,13 +25465,13 @@ if wholeObj then OMputEndObject(dev) -@ -<>= +\end{chunk} +\begin{chunk}{OMEXPR.dotabb} "OMEXPR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OMEXPR"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "OMEXPR" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EXPR2UPS ExpressionToUnivariatePowerSeries} \pagehead{ExpressionToUnivariatePowerSeries}{EXPR2UPS} @@ -25482,7 +25485,7 @@ \cross{EXPR2UPS}{taylor} \end{tabular} -<>= +\begin{chunk}{package EXPR2UPS ExpressionToUnivariatePowerSeries} )abbrev package EXPR2UPS ExpressionToUnivariatePowerSeries ++ Author: Clifton J. Williamson ++ Date Created: 9 May 1989 @@ -25810,13 +25813,13 @@ series := retract(iSeries(performSubstitution(fcn,x,a),x,a))$any1 coerce(extend(series,n))$any1 -@ -<>= +\end{chunk} +\begin{chunk}{EXPR2UPS.dotabb} "EXPR2UPS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXPR2UPS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "EXPR2UPS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EXPRTUBE ExpressionTubePlot} \pagehead{ExpressionTubePlot}{EXPRTUBE} @@ -25828,7 +25831,7 @@ \cross{EXPRTUBE}{tubePlot} \end{tabular} -<>= +\begin{chunk}{package EXPRTUBE ExpressionTubePlot} )abbrev package EXPRTUBE ExpressionTubePlot ++ Author: Clifton J. Williamson ++ Date Created: Bastille Day 1989 @@ -26004,16 +26007,16 @@ tRange:SEG SF,rad:SF,n:I) == tubePlot(x,y,z,colorFcn,tRange,rad,n,"open") -@ -<>= +\end{chunk} +\begin{chunk}{EXPRTUBE.dotabb} "EXPRTUBE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXPRTUBE"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "EXPRTUBE" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package EXP3D Export3D} -<>= +\begin{chunk}{Export3D.input} )set break resume )sys rm -f Export3D.output )spool Export3D.output @@ -26035,8 +26038,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Export3D.help} ==================================================================== Export3D examples ==================================================================== @@ -26044,14 +26047,14 @@ See Also: o )show Export3D -@ +\end{chunk} \pagehead{Export3D}{EXP3D} \pagepic{ps/v104export3d.ps}{EXP3D}{1.00} {\bf Exports:}\\ \cross{EXP3D}{writeObj} -<>= +\begin{chunk}{package EXP3D Export3D} )abbrev package EXP3D Export3D ++ Author: Martin Baker ++ Date: June, 2010 @@ -26149,13 +26152,13 @@ if numberOfChildren(curves.1) > 1 then writeMesh(f1,curves) close! f1 -@ -<>= +\end{chunk} +\begin{chunk}{EXP3D.dotabb} "EXP3D" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXP3D"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "EXP3D" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package E04AGNT e04AgentsPackage} \pagehead{e04AgentsPackage}{E04AGNT} @@ -26180,7 +26183,7 @@ \cross{E04AGNT}{variables} \end{tabular} -<>= +\begin{chunk}{package E04AGNT e04AgentsPackage} )abbrev package E04AGNT e04AgentsPackage ++ Author: Brian Dupee ++ Date Created: February 1996 @@ -26438,13 +26441,13 @@ s := "linear" ["The object functions are " s] -@ -<>= +\end{chunk} +\begin{chunk}{E04AGNT.dotabb} "E04AGNT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=E04AGNT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "E04AGNT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter F} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -26458,7 +26461,7 @@ \cross{FACTFUNC}{nthRoot} \end{tabular} -<>= +\begin{chunk}{package FACTFUNC FactoredFunctions} )abbrev package FACTFUNC FactoredFunctions ++ Author: Manuel Bronstein ++ Date Created: 2 Feb 1988 @@ -26502,16 +26505,16 @@ concat([1, unit ff], [[term.exponent::N, term.factor] for term in factors ff]) -@ -<>= +\end{chunk} +\begin{chunk}{FACTFUNC.dotabb} "FACTFUNC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FACTFUNC"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "FACTFUNC" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FR2 FactoredFunctions2} -<>= +\begin{chunk}{FactoredFunctions2.input} )set break resume )sys rm -f FactoredFunctions2.output )spool FactoredFunctions2.output @@ -26568,9 +26571,9 @@ --E 6 )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{FactoredFunctions2.help} ==================================================================== FactoredFunctions2 examples ==================================================================== @@ -26622,14 +26625,14 @@ o )help Factored o )show FactoredFunctions2 -@ +\end{chunk} \pagehead{FactoredFunctions2}{FR2} \pagepic{ps/v104FactoredFunctions2.ps}{FR2}{1.00} {\bf Exports:}\\ \cross{FR2}{map} -<>= +\begin{chunk}{package FR2 FactoredFunctions2} )abbrev package FR2 FactoredFunctions2 ++ Author: Robert S. Sutor ++ Date Created: 1987 @@ -26663,13 +26666,13 @@ func(unit f) * _*/[nilFactor(func(g.factor), g.exponent) for g in factors f] -@ -<>= +\end{chunk} +\begin{chunk}{FR2.dotabb} "FR2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FR2"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "FR2" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FRUTIL FactoredFunctionUtilities} \pagehead{FactoredFunctionUtilities}{FRUTIL} @@ -26681,7 +26684,7 @@ \cross{FRUTIL}{refine} \end{tabular} -<>= +\begin{chunk}{package FRUTIL FactoredFunctionUtilities} )abbrev package FRUTIL FactoredFunctionUtilities ++ Author: ++ Date Created: @@ -26738,13 +26741,13 @@ for v in factorList fitem],l) makeFR(u,l) -@ -<>= +\end{chunk} +\begin{chunk}{FRUTIL.dotabb} "FRUTIL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FRUTIL"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "FRUTIL" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FACUTIL FactoringUtilities} \pagehead{FactoringUtilities}{FACUTIL} @@ -26761,7 +26764,7 @@ \cross{FACUTIL}{variables} &&& \end{tabular} -<>= +\begin{chunk}{package FACUTIL FactoringUtilities} )abbrev package FACUTIL FactoringUtilities ++ Author: Barry Trager ++ Date Created: March 12, 1992 @@ -26856,16 +26859,16 @@ n:=degree f ris -@ -<>= +\end{chunk} +\begin{chunk}{FACUTIL.dotabb} "FACUTIL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FACUTIL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FACUTIL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FACTEXT FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber} -<>= +\begin{chunk}{FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber.input} )set break resume )sys rm -f FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber.output )spool FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber.output @@ -26888,8 +26891,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber.help} ==================================================================== FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber examples ==================================================================== @@ -26897,7 +26900,7 @@ See Also: o )show FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber -@ +\end{chunk} \pagehead{FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber}{FACTEXT} \pagepic{ps/v104factorisationoverpseudoalgebraicclosureofalgextofrationalnumber.eps}{FACTEXT}{1.00} @@ -26907,7 +26910,7 @@ \cross{FACTEXT}{factorSqFree} \end{tabular} -<>= +\begin{chunk}{package FACTEXT FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber} )abbrev package FACTEXT FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber ++ Author: Gaetan Hache ++ Date Created: September 1996 @@ -27035,16 +27038,16 @@ liftCoef:= lift(lcoef,a)$K swapCoefWithVar(liftCoef , n) + liftPoly( reductum pol , a ) -@ -<>= +\end{chunk} +\begin{chunk}{FACTEXT.dotabb} "FACTEXT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FACTEXT"] "PACEXTC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PACEXTC"] "FACTEXT" -> "PACEXTC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FACTRN FactorisationOverPseudoAlgebraicClosureOfRationalNumber} -<>= +\begin{chunk}{FactorisationOverPseudoAlgebraicClosureOfRationalNumber.input} )set break resume )sys rm -f FactorisationOverPseudoAlgebraicClosureOfRationalNumber.output )spool FactorisationOverPseudoAlgebraicClosureOfRationalNumber.output @@ -27068,8 +27071,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{FactorisationOverPseudoAlgebraicClosureOfRationalNumber.help} ==================================================================== FactorisationOverPseudoAlgebraicClosureOfRationalNumber examples ==================================================================== @@ -27077,7 +27080,7 @@ See Also: o )show FactorisationOverPseudoAlgebraicClosureOfRationalNumber -@ +\end{chunk} \pagehead{FactorisationOverPseudoAlgebraicClosureOfRationalNumber}{FACTRN} \pagepic{ps/v104factorisationoverpseudoalgebraicclosureofrationalnumber.ps}{FACTRN}{1.00} @@ -27087,7 +27090,7 @@ \cross{FACTRN}{factorSqFree} \end{tabular} -<>= +\begin{chunk}{package FACTRN FactorisationOverPseudoAlgebraicClosureOfRationalNumber} )abbrev package FACTRN FactorisationOverPseudoAlgebraicClosureOfRationalNumber ++ Author: Gaetan Hache ++ Date Created: September 1996 @@ -27215,13 +27218,13 @@ liftCoef:= lift(lcoef,a)$K swapCoefWithVar(liftCoef , n) + liftPoly( reductum pol , a ) -@ -<>= +\end{chunk} +\begin{chunk}{FACTRN.dotabb} "FACTRN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FACTRN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FACTRN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FGLMICPK FGLMIfCanPackage} \pagehead{FGLMIfCanPackage}{FGLMICPK} @@ -27234,7 +27237,7 @@ \cross{FGLMICPK}{zeroDimensional?} \end{tabular} -<>= +\begin{chunk}{package FGLMICPK FGLMIfCanPackage} )abbrev package FGLMICPK FGLMIfCanPackage ++ Author: Marc Moreno Maza ++ Date Created: 08/02/1999 @@ -27314,15 +27317,15 @@ lq3: List(Q3) := totolex(lq2)$lingrobpack [dmpToP(q3)$poltopol for q3 in lq3] -@ -<>= +\end{chunk} +\begin{chunk}{FGLMICPK.dotabb} "FGLMICPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FGLMICPK"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FGLMICPK" -> "DIRPCAT" "FGLMICPK" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FORDER FindOrderFinite} \pagehead{FindOrderFinite}{FORDER} @@ -27331,7 +27334,7 @@ {\bf Exports:}\\ \cross{FORDER}{order} -<>= +\begin{chunk}{package FORDER FindOrderFinite} )abbrev package FORDER FindOrderFinite ++ Author: Manuel Bronstein ++ Date Created: 1988 @@ -27355,13 +27358,13 @@ principal? dd => return(i::NonNegativeInteger) dd := reduce(d + dd) -@ -<>= +\end{chunk} +\begin{chunk}{FORDER.dotabb} "FORDER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FORDER"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "FORDER" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FAMR2 FiniteAbelianMonoidRingFunctions2} \pagehead{FiniteAbelianMonoidRingFunctions2}{FAMR2} @@ -27370,7 +27373,7 @@ {\bf Exports:}\\ \cross{FAMR2}{map} -<>= +\begin{chunk}{package FAMR2 FiniteAbelianMonoidRingFunctions2} )abbrev package FAMR2 FiniteAbelianMonoidRingFunctions2 ++ Author: Martin Rubey ++ Description: @@ -27398,13 +27401,13 @@ else monomial(f leadingCoefficient a, degree a)$A2 + map(f, reductum a) -@ -<>= +\end{chunk} +\begin{chunk}{FAMR2.dotabb} "FAMR2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FAMR2"] "FAMR" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAMR"] "FAMR2" -> "FAMR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FDIV2 FiniteDivisorFunctions2} \pagehead{FiniteDivisorFunctions2}{FDIV2} @@ -27413,7 +27416,7 @@ {\bf Exports:}\\ \cross{FDIV2}{map} -<>= +\begin{chunk}{package FDIV2 FiniteDivisorFunctions2} )abbrev package FDIV2 FiniteDivisorFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 1988 @@ -27448,17 +27451,17 @@ divisor map(f, rec.principalPart) + divisor map((s:UP1):UP2 +-> map(f,s), rec.id) -@ -<>= +\end{chunk} +\begin{chunk}{FDIV2.dotabb} "FDIV2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FDIV2"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "FDIV2" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFFACTSE FiniteFieldFactorizationWithSizeParseBySideEffect} -<>= +\begin{chunk}{FiniteFieldFactorizationWithSizeParseBySideEffect.input} )set break resume )sys rm -f FiniteFieldFactorizationWithSizeParseBySideEffect.output )spool FiniteFieldFactorizationWithSizeParseBySideEffect.output @@ -27484,9 +27487,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{FiniteFieldFactorizationWithSizeParseBySideEffect.help} ==================================================================== FiniteFieldFactorizationWithSizeParseBySideEffect examples ==================================================================== @@ -27494,7 +27497,7 @@ See Also: o )show FiniteFieldFactorizationWithSizeParseBySideEffect -@ +\end{chunk} \pagehead{FiniteFieldFactorizationWithSizeParseBySideEffect}{FFFACTSE} \pagepic{ps/v104finitefieldfactorizationwithsizeparsebysideeffect.ps}{FFFACTSE}{1.00} @@ -27509,7 +27512,7 @@ \end{tabular} -<>= +\begin{chunk}{package FFFACTSE FiniteFieldFactorizationWithSizeParseBySideEffect} )abbrev package FFFACTSE FiniteFieldFactorizationWithSizeParseBySideEffect ++ Author: Patrice Naudin, Claude Quitte, Kaj Laursen ++ Date Created: September 1996 @@ -27725,15 +27728,15 @@ else irreducible?(P : PolK) : Boolean == oddCharacteristicIrreducible?(P) -@ -<>= +\end{chunk} +\begin{chunk}{FFFACTSE.dotabb} "FFFACTSE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFFACTSE"] "FFSQFR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFSQFR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFFACTSE" -> "FFSQFR" "FFFACTSE" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFF FiniteFieldFunctions} \pagehead{FiniteFieldFunctions}{FFF} @@ -27749,7 +27752,7 @@ \cross{FFF}{sizeMultiplication} \end{tabular} -<>= +\begin{chunk}{package FFF FiniteFieldFunctions} )abbrev package FFF FiniteFieldFunctions ++ Author: J. Grabmeier, A. Scheerhorn ++ Date Created: 21 March 1991 @@ -27989,13 +27992,13 @@ qsetelt_!(mat,i,t.index+2,t.value) mat -@ -<>= +\end{chunk} +\begin{chunk}{FFF.dotabb} "FFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFHOM FiniteFieldHomomorphisms} \pagehead{FiniteFieldHomomorphisms}{FFHOM} @@ -28004,7 +28007,7 @@ {\bf Exports:}\\ \cross{FFHOM}{coerce} -<>= +\begin{chunk}{package FFHOM FiniteFieldHomomorphisms} )abbrev package FFHOM FiniteFieldHomomorphisms ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -28368,13 +28371,13 @@ error "coerce: element doesn't belong to smaller field" represents(conMat2to1 *$(Matrix GF) coordinates(x)$F2)$F1 -@ -<>= +\end{chunk} +\begin{chunk}{FFHOM.dotabb} "FFHOM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFHOM"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "FFHOM" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFPOLY FiniteFieldPolynomialPackage} \pagehead{FiniteFieldPolynomialPackage}{FFPOLY} @@ -28402,7 +28405,7 @@ \cross{FFPOLY}{reducedQPowers} \end{tabular} -<>= +\begin{chunk}{package FFPOLY FiniteFieldPolynomialPackage} )abbrev package FFPOLY FiniteFieldPolynomialPackage ++ Author: A. Bouyer, J. Grabmeier, A. Scheerhorn, R. Sutor, B. Trager ++ Date Created: January 1991 @@ -29377,13 +29380,13 @@ if d > 1 then n := ((random()$I rem (d::PI)) + m) :: PI random(n) -@ -<>= +\end{chunk} +\begin{chunk}{FFPOLY.dotabb} "FFPOLY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFPOLY"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFPOLY" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFPOLY2 FiniteFieldPolynomialPackage2} \pagehead{FiniteFieldPolynomialPackage2}{FFPOLY2} @@ -29392,7 +29395,7 @@ {\bf Exports:}\\ \cross{FFPOLY2}{rootOfIrreduciblePoly} -<>= +\begin{chunk}{package FFPOLY2 FiniteFieldPolynomialPackage2} )abbrev package FFPOLY2 FiniteFieldPolynomialPackage2 ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -29509,13 +29512,13 @@ stillToFactor := h root -@ -<>= +\end{chunk} +\begin{chunk}{FFPOLY2.dotabb} "FFPOLY2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFPOLY2"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "FFPOLY2" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFSLPE FiniteFieldSolveLinearPolynomialEquation} \pagehead{FiniteFieldSolveLinearPolynomialEquation}{FFSLPE} @@ -29524,7 +29527,7 @@ {\bf Exports:}\\ \cross{FFSLPE}{solveLinearPolynomialEquation} -<>= +\begin{chunk}{package FFSLPE FiniteFieldSolveLinearPolynomialEquation} )abbrev package FFSLPE FiniteFieldSolveLinearPolynomialEquation ++ Author: Davenport ++ Date Created: 1991 @@ -29572,16 +29575,16 @@ answer:=solveid(p,slpePrime,oldtable) answer -@ -<>= +\end{chunk} +\begin{chunk}{FFSLPE.dotabb} "FFSLPE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFSLPE"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFSLPE" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFSQFR FiniteFieldSquareFreeDecomposition} -<>= +\begin{chunk}{FiniteFieldSquareFreeDecomposition.input} )set break resume )sys rm -f FiniteFieldSquareFreeDecomposition.output )spool FiniteFieldSquareFreeDecomposition.output @@ -29603,8 +29606,8 @@ )spool -@ -<>= +\end{chunk} +\begin{chunk}{FiniteFieldSquareFreeDecomposition.help} ==================================================================== FiniteFieldSquareFreeDecomposition examples ==================================================================== @@ -29613,7 +29616,7 @@ o )show FiniteFieldSquareFreeDecomposition -@ +\end{chunk} \pagehead{FiniteFieldSquareFreeDecomposition}{FFSQFR} \pagepic{ps/v104finitefieldsquarefreedecomposition.ps}{FFSQFR}{1.00} @@ -29621,7 +29624,7 @@ \cross{FFSQFR}{PolK} \cross{FFSQFR}{Yun} -<>= +\begin{chunk}{package FFSQFR FiniteFieldSquareFreeDecomposition} )abbrev package FFSQFR FiniteFieldSquareFreeDecomposition ++ Author: Patrice Naudin and Claude Quitte ++ Date Created: September 1996 @@ -29721,13 +29724,13 @@ PFactored := PFactored * sqfrFactor (U (i), i) return (lcP::PolK) * PFactored -@ -<>= +\end{chunk} +\begin{chunk}{FFSQFR.dotabb} "FFSQFR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFSQFR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFSQFR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FLAGG2 FiniteLinearAggregateFunctions2} \pagehead{FiniteLinearAggregateFunctions2}{FLAGG2} @@ -29740,7 +29743,7 @@ \cross{FLAGG2}{scan} \end{tabular} -<>= +\begin{chunk}{package FLAGG2 FiniteLinearAggregateFunctions2} )abbrev package FLAGG2 FiniteLinearAggregateFunctions2 ++ Author: ??? ++ Date Created: ??? @@ -29852,13 +29855,13 @@ w := concat(w, ident) w -@ -<>= +\end{chunk} +\begin{chunk}{FLAGG2.dotabb} "FLAGG2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FLAGG2"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG2" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FLASORT FiniteLinearAggregateSort} \pagehead{FiniteLinearAggregateSort}{FLASORT} @@ -29871,7 +29874,7 @@ \cross{FLASORT}{shellSort} \end{tabular} -<>= +\begin{chunk}{package FLASORT FiniteLinearAggregateSort} )abbrev package FLASORT FiniteLinearAggregateSort ++ Author: Michael Monagan Sep/88 ++ RelatedOperations: sort @@ -29969,13 +29972,13 @@ g := g quo 3 r -@ -<>= +\end{chunk} +\begin{chunk}{FLASORT.dotabb} "FLASORT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FLASORT"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLASORT" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSAGG2 FiniteSetAggregateFunctions2} \pagehead{FiniteSetAggregateFunctions2}{FSAGG2} @@ -29988,7 +29991,7 @@ \cross{FSAGG2}{scan} \end{tabular} -<>= +\begin{chunk}{package FSAGG2 FiniteSetAggregateFunctions2} )abbrev package FSAGG2 FiniteSetAggregateFunctions2 ++ Author: Robert S. Sutor ++ Date Created: 15 May 1990 @@ -30034,13 +30037,13 @@ scan(fn, a, ident) == set(scan(fn, parts a, ident)$ListFunctions2(S, R))$B -@ -<>= +\end{chunk} +\begin{chunk}{FSAGG2.dotabb} "FSAGG2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSAGG2"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "FSAGG2" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FLOATCP FloatingComplexPackage} \pagehead{FloatingComplexPackage}{FLOATCP} @@ -30052,7 +30055,7 @@ \cross{FLOATCP}{complexSolve} \end{tabular} -<>= +\begin{chunk}{package FLOATCP FloatingComplexPackage} )abbrev package FLOATCP FloatingComplexPackage ++ Author: P. Gianni ++ Date Created: January 1990 @@ -30171,13 +30174,13 @@ complexSolve(eq : EQ FPK,eps : Par) : L EQ P C Par == complexSolve(lhs eq - rhs eq,eps) -@ -<>= +\end{chunk} +\begin{chunk}{FLOATCP.dotabb} "FLOATCP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FLOATCP"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "FLOATCP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FLOATRP FloatingRealPackage} \pagehead{FloatingRealPackage}{FLOATRP} @@ -30189,7 +30192,7 @@ \cross{FLOATRP}{solve} \end{tabular} -<>= +\begin{chunk}{package FLOATRP FloatingRealPackage} )abbrev package FLOATRP FloatingRealPackage ++ Author: P. Gianni ++ Date Created: January 1990 @@ -30306,13 +30309,13 @@ solve(eq : EQ RFI,eps : Par) : L EQ P Par == solve(lhs eq - rhs eq,eps) -@ -<>= +\end{chunk} +\begin{chunk}{FLOATRP.dotabb} "FLOATRP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FLOATRP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FLOATRP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FCPAK1 FortranCodePackage1} \pagehead{FortranCodePackage1}{FCPAK1} @@ -30326,7 +30329,7 @@ \cross{FCPAK1}{zeroVector} \end{tabular} -<>= +\begin{chunk}{package FCPAK1 FortranCodePackage1} )abbrev package FCPAK1 FortranCodePackage1 ++ Author: Grant Keady and Godfrey Nolan ++ Date Created: April 1993 @@ -30466,13 +30469,13 @@ fa:FC := forLoop(segbp1,block(fl)$FC)$FC fa -@ -<>= +\end{chunk} +\begin{chunk}{FCPAK1.dotabb} "FCPAK1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FCPAK1"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "FCPAK1" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FOP FortranOutputStackPackage} \pagehead{FortranOutputStackPackage}{FOP} @@ -30488,7 +30491,7 @@ \cross{FOP}{topFortranOutputStack} \end{tabular} -<>= +\begin{chunk}{package FOP FortranOutputStackPackage} )abbrev package FOP FortranOutputStackPackage -- Because of a bug in the compiler: )bo $noSubsumption:=false @@ -30571,13 +30574,13 @@ showFortranOutputStack():Stack String == fortranOutputStack -@ -<>= +\end{chunk} +\begin{chunk}{FOP.dotabb} "FOP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FOP"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "FOP" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FORT FortranPackage} \pagehead{FortranPackage}{FORT} @@ -30590,7 +30593,7 @@ \cross{FORT}{setLegalFortranSourceExtensions} \end{tabular} -<>= +\begin{chunk}{package FORT FortranPackage} )abbrev package FORT FortranPackage -- Because of a bug in the compiler: )bo $noSubsumption:=true @@ -30684,13 +30687,13 @@ makeFort1(name,arguments,aArgs,dummies,symbolList,res,(rt.fst)::S,asps)$Lisp makeFort1(name,arguments,aArgs,dummies,symbolList,res,NIL$Lisp,asps)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{FORT.dotabb} "FORT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FORT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "FORT" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FRIDEAL2 FractionalIdealFunctions2} \pagehead{FractionalIdealFunctions2}{FRIDEAL2} @@ -30699,7 +30702,7 @@ {\bf Exports:}\\ \cross{FRIDEAL2}{map} -<>= +\begin{chunk}{package FRIDEAL2 FractionalIdealFunctions2} )abbrev package FRIDEAL2 FractionalIdealFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 1 Feb 1989 @@ -30736,13 +30739,13 @@ ideal [fmap(s +-> f(numer s) / f(denom s), qelt(b, j)) for j in minIndex b .. maxIndex b]$Vector(A2) -@ -<>= +\end{chunk} +\begin{chunk}{FRIDEAL2.dotabb} "FRIDEAL2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FRIDEAL2"] "FRAMALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRAMALG"] "FRIDEAL2" -> "FRAMALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFFG FractionFreeFastGaussian} \pagehead{FractionFreeFastGaussian}{FFFG} @@ -30762,7 +30765,7 @@ \cross{FFFG}{qShiftC} && \end{tabular} -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} )abbrev package FFFG FractionFreeFastGaussian ++ Author: Martin Rubey ++ Description: @@ -30810,22 +30813,22 @@ ++ guarantee that all given points are interpolated correctly: ++ unattainable points may make this impossible. -@ +\end{chunk} \begin{verbatim} - The following function could be moved to [[FFFGF]], parallel to - [[generalInterpolation]]. However, the reason for moving - [[generalInterpolation]] for fractions to a separate package was the need of - a generic signature, hence the extra argument [[VF]] to [[FFFGF]]. In the + The following function could be moved to FFFGF, parallel to + generalInterpolation. However, the reason for moving + generalInterpolation for fractions to a separate package was the need of + a generic signature, hence the extra argument VF to FFFGF. In the special case of rational interpolation, this extra argument is not necessary, - since we are always returning a fraction of [[SUP]]s, and ignore [[V]]. In - fact, [[V]] is not needed for [[fffg]] itself, only if we want to specify a - [[CoeffAction]]. + since we are always returning a fraction of SUPs, and ignore V. In + fact, V is not needed for fffg itself, only if we want to specify a + CoeffAction. - Thus, maybe it would be better to move [[fffg]] to a separate package? + Thus, maybe it would be better to move fffg to a separate package? \end{verbatim} -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} interpolate: (List Fraction D, List Fraction D, NonNegativeInteger) -> Fraction SUP D ++ \spad{interpolate(xlist, ylist, deg} returns the rational function with @@ -30977,12 +30980,12 @@ -- general - suitable for functions f - trying all possible degree combinations ------------------------------------------------------------------------------- -@ +\end{chunk} The following function returns the lexicographically next vector with -non-negative components smaller than [[p]] with the same sum as [[v]]. +non-negative components smaller than p with the same sum as v. -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} nextVector!(p: NonNegativeInteger, v: List NonNegativeInteger) : Union("failed", List NonNegativeInteger) == n := #v @@ -31009,25 +31012,25 @@ v.(pos-1) := (v.(pos-1) - 1)::NonNegativeInteger v -@ +\end{chunk} The following function returns the stream of all possible degree vectors, -beginning with [[v]], where the degree vectors are sorted in reverse -lexicographic order. Furthermore, the entries are all less or equal to [[p]] -and their sum equals the sum of the entries of [[v]]. We assume that the -entries of [[v]] are also all less or equal to [[p]]. +beginning with v, where the degree vectors are sorted in reverse +lexicographic order. Furthermore, the entries are all less or equal to p +and their sum equals the sum of the entries of v. We assume that the +entries of v are also all less or equal to p. -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} vectorStream(p: NonNegativeInteger, v: List NonNegativeInteger) : Stream List NonNegativeInteger == delay next := nextVector!(p, copy v) (next case "failed") => empty()$Stream(List NonNegativeInteger) cons(next, vectorStream(p, next)) -@ +\end{chunk} -[[vectorStream2]] skips every second entry of [[vectorStream]]. +vectorStream2 skips every second entry of vectorStream. -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} vectorStream2(p: NonNegativeInteger, v: List NonNegativeInteger) : Stream List NonNegativeInteger == delay next := nextVector!(p, copy v) @@ -31035,33 +31038,33 @@ next2 := nextVector!(p, copy next) (next2 case "failed") => cons(next, empty()) cons(next2, vectorStream2(p, next2)) -@ +\end{chunk} -This version of [[generalInterpolation]] returns a stream of solutions, one for +This version of generalInterpolation returns a stream of solutions, one for each possible degree vector. Thus, it only needs to apply the previously -defined [[generalInterpolation]] to each degree vector. These are generated by -[[vectorStream]] and [[vectorStream2]] respectively. +defined generalInterpolation to each degree vector. These are generated by +vectorStream and vectorStream2 respectively. -If [[f]] consists of two elements only, we can skip every second degree vector: -note that [[fffg]], and thus also [[generalInterpolation]], returns a matrix -with [[#f]] columns, each corresponding to a solution of the interpolation +If f consists of two elements only, we can skip every second degree vector: +note that fffg, and thus also generalInterpolation, returns a matrix +with \verb|#f| columns, each corresponding to a solution of the interpolation problem. More precisely, the $i$\textsuperscript{th} column is a solution with -degrees [[eta]]$-(1,1,\dots,1)+e_i$. Thus, in the case of $2\times 2$ matrices, -[[vectorStream]] would produce solutions corresponding to $(d,0), (d-1,1); +degrees $\eta-(1,1,\dots,1)+e_i$. Thus, in the case of $2\times 2$ matrices, +vectorStream would produce solutions corresponding to $(d,0), (d-1,1); (d-1,1), (d-2, 2); (d-2, 2), (d-3,3)\dots$, i.e., every second matrix is redundant. -Although some redundancy exists also for higher dimensional [[f]], the scheme +Although some redundancy exists also for higher dimensional f, the scheme becomes much more complicated, thus we did not implement it. -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} generalInterpolation(C: List D, coeffAction: CoeffAction, f: Vector V, sumEta: NonNegativeInteger, maxEta: NonNegativeInteger) : Stream Matrix SUP D == - <> +\getchunk{generate an initial degree vector} if #f = 2 then map(x +-> generalInterpolation(C, coeffAction, f, x), @@ -31073,30 +31076,30 @@ cons(eta, vectorStream(maxEta, eta))) $StreamFunctions2(List NonNegativeInteger, Matrix SUP D) -@ +\end{chunk} We need to generate an initial degree vector, being the minimal element in reverse lexicographic order, i.e., $m, m, \dots, m, k, 0, 0, \dots$, where $m$ -is [[maxEta]] and $k$ is the remainder of [[sumEta]] divided by -[[maxEta]]. This is done by the following code: +is maxEta and $k$ is the remainder of sumEta divided by +maxEta. This is done by the following code: -<>= -sum: Integer := sumEta -entry: Integer -eta: List NonNegativeInteger - := [(if sum < maxEta _ - then (entry := sum; sum := 0) _ - else (entry := maxEta; sum := sum - maxEta); _ - entry::NonNegativeInteger) for i in 1..#f] -@ +\begin{chunk}{generate an initial degree vector} + sum: Integer := sumEta + entry: Integer + eta: List NonNegativeInteger + := [(if sum < maxEta _ + then (entry := sum; sum := 0) _ + else (entry := maxEta; sum := sum - maxEta); _ + entry::NonNegativeInteger) for i in 1..#f] +\end{chunk} We want to generate all vectors with sum of entries being at most -[[sumEta]]. Therefore the following is incorrect. -<>= +sumEta. Therefore the following is incorrect. +\begin{chunk}{BUG generate an initial degree vector} -- (sum > 0) => empty()$Stream(Matrix SUP D) -@ +\end{chunk} -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} ------------------------------------------------------------------------------- -- rational interpolation ------------------------------------------------------------------------------- @@ -31126,21 +31129,21 @@ if zero?(M.(2,1)) then M.(1,2)/M.(2,2) else M.(1,1)/M.(2,1) -@ -Because of Lemma~5.3, [[M.1.(2,1)]] and [[M.1.(2,2)]] cannot both vanish, -since [[eta_sigma]] is always $\sigma$-normal by Theorem~7.2 and therefore also -para-normal, see Definition~4.2. +\end{chunk} +Because of Lemma~5.3, M.1.(2,1) and M.1.(2,2) cannot both vanish, +since \verb|eta_sigma| is always $\sigma$-normal by Theorem~7.2 and +therefore also para-normal, see Definition~4.2. -Because of Lemma~5.1 we have that [[M.1.(*,2)]] is a solution of the -interpolation problem, if [[M.1.(2,1)]] vanishes. +Because of Lemma~5.1 we have that M.1.(*,2) is a solution of the +interpolation problem, if M.1.(2,1) vanishes. -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} ------------------------------------------------------------------------------- -- fffg ------------------------------------------------------------------------------- -@ +\end{chunk} -[[recurrence]] computes the new matrix $M$, according to the following formulas +recurrence computes the new matrix $M$, according to the following formulas (cf. Table~2 in Beckermann and Labahn): \[ \begin{array}{cc} @@ -31161,10 +31164,10 @@ \] Since we do not need the matrix $\mathbf M_{\sigma}$ anymore, we drop the index -and update the matrix destructively. In the following, we write [[Ck]] for +and update the matrix destructively. In the following, we write Ck for $c_{\sigma,\sigma}$. -<>= +\begin{chunk}{package FFFG FractionFreeFastGaussian} -- a major part of the time is spent here recurrence(M: Matrix SUP D, pi: NonNegativeInteger, m: NonNegativeInteger, r: Vector D, d: D, z: SUP D, Ck: D, p: Vector D): Matrix SUP D == @@ -31242,13 +31245,13 @@ M -@ -<>= +\end{chunk} +\begin{chunk}{FFFG.dotabb} "FFFG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFFG"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFFG" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFFGF FractionFreeFastGaussianFractions} \pagehead{FractionFreeFastGaussianFractions}{FFFGF} @@ -31257,7 +31260,7 @@ {\bf Exports:}\\ \cross{FFFGF}{generalInterpolation} -<>= +\begin{chunk}{package FFFGF FractionFreeFastGaussianFractions} )abbrev package FFFGF FractionFreeFastGaussianFractions ++ Author: Martin Rubey ++ Description: @@ -31356,13 +31359,13 @@ map(x +-> multiplyRows!(den, x), MS)$Stream(Matrix SUP D) -@ -<>= +\end{chunk} +\begin{chunk}{FFFGF.dotabb} "FFFGF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFFGF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FFFGF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FRAC2 FractionFunctions2} \pagehead{FractionFunctions2}{FRAC2} @@ -31371,7 +31374,7 @@ {\bf Exports:}\\ \cross{FRAC2}{map} -<>= +\begin{chunk}{package FRAC2 FractionFunctions2} )abbrev package FRAC2 FractionFunctions2 ++ Author: ++ Date Created: @@ -31401,13 +31404,13 @@ Impl ==> add map(f, r) == map(f, r)$QuotientFieldCategoryFunctions2(A, B, R, S) -@ -<>= +\end{chunk} +\begin{chunk}{FRAC2.dotabb} "FRAC2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FRAC2"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "FRAC2" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FRNAAF2 FramedNonAssociativeAlgebraFunctions2} \pagehead{FramedNonAssociativeAlgebraFunctions2}{FRNAAF2} @@ -31416,7 +31419,7 @@ {\bf Exports:}\\ \cross{FRNAAF2}{map} -<>= +\begin{chunk}{package FRNAAF2 FramedNonAssociativeAlgebraFunctions2} )abbrev package FRNAAF2 FramedNonAssociativeAlgebraFunctions2 ++ Author: Johannes Grabmeier ++ Date Created: 28 February 1992 @@ -31450,25 +31453,25 @@ rank()$AR > rank()$AS => error("map: ranks of algebras do not fit") vr : V R := coordinates u vs : V S := map(fn,vr)$VectorFunctions2(R,S) -@ +\end{chunk} This line used to read: \begin{verbatim} rank()$AR = rank()$AR => represents(vs)$AS \end{verbatim} but the test is clearly always true and cannot be what was intended. Gregory Vanuxem supplied the fix below. -<>= +\begin{chunk}{package FRNAAF2 FramedNonAssociativeAlgebraFunctions2} rank()$AR = rank()$AS => represents(vs)$AS ba := basis()$AS represents(vs,[ba.i for i in 1..rank()$AR]) -@ -<>= +\end{chunk} +\begin{chunk}{FRNAAF2.dotabb} "FRNAAF2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FRNAAF2"] "FRNAALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRNAALG"] "FRNAAF2" -> "FRNAALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSPECF FunctionalSpecialFunction} \pagehead{FunctionalSpecialFunction}{FSPECF} @@ -31502,7 +31505,7 @@ \cross{FSPECF}{polygamma} & \end{tabular} -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} )abbrev package FSPECF FunctionalSpecialFunction ++ Author: Manuel Bronstein ++ Date Created: 18 Apr 1989 @@ -31552,10 +31555,10 @@ airyBi: F -> F ++ airyBi(x) returns the airybi function applied to x -@ +\end{chunk} In case we want to have more special function operators here, do not forget to -add them to the list [[specop]] in [[CommonOperators]]. Otherwise they will +add them to the list specop in CommonOperators. Otherwise they will not have the \lq special\rq\ attribute and will not be recognised here. One effect could be that \begin{verbatim} @@ -31563,7 +31566,7 @@ \end{verbatim} might not re-evaluate the operator. -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} iiGamma : F -> F ++ iiGamma(x) should be local but conditional; iiabs : F -> F @@ -31765,7 +31768,7 @@ evaluate(opBesselK ,iiBesselK )$BasicOperatorFunctions1(F) evaluate(opAiryAi ,iiAiryAi )$BasicOperatorFunctions1(F) evaluate(opAiryBi ,iiAiryBi )$BasicOperatorFunctions1(F) -@ +\end{chunk} \subsection{differentiation of special functions} @@ -31773,31 +31776,31 @@ provide. The formulas we use for the Bessel functions can be found in Milton Abramowitz and Irene A. Stegun, eds. (1965). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover. ISBN -0-486-61272-4, Equations~9.1.27 and 9.6.26. Up to [[patch--50]] the formula +0-486-61272-4, Equations~9.1.27 and 9.6.26. Up to patch--50 the formula for $K$ missed the minus sign. (Issue~\#355) We do not attempt to provide formulas for the derivative with respect to the first argument currently. Instead, we leave such derivatives unevaluated. -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} import Fraction Integer ahalf: F := recip(2::F)::F athird: F := recip(2::F)::F twothirds: F := 2*recip(3::F)::F -@ +\end{chunk} We need to get hold of the differentiation operator as modified by -[[FunctionSpace]]. Otherwise, for example, display will be ugly. We accomplish +FunctionSpace. Otherwise, for example, display will be ugly. We accomplish that by differentiating an operator, which will certainly result in a single kernel only. -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} dummyArg: SE := new()$SE opdiff := operator first kernels D((operator(new()$SE)$BasicOperator) (dummyArg::F), dummyArg) -@ +\end{chunk} -The differentiation operator [[opdiff]] takes three arguments corresponding to +The differentiation operator opdiff takes three arguments corresponding to $$ F_{,i}(a_1,a_2,\dots,a_n): $$ @@ -31809,13 +31812,13 @@ \end{enumerate} In the following, it seems to be safe to use the same dummy variable -throughout. At least, this is done also in [[FunctionSpace]], and did +throughout. At least, this is done also in FunctionSpace, and did not cause problems. -The operation [[symbolicGrad]] returns the first component of the gradient of -[[op l]]. +The operation symbolicGrad returns the first component of the gradient of +op l. -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} dm := new()$SE :: F iBesselJ(l: List F, t: SE): F == @@ -31838,12 +31841,12 @@ differentiate(n, t)*kernel(opdiff, [opBesselK [dm, x], dm, n]) - differentiate(x, t)* ahalf * (besselK (n-1,x) + besselK (n+1,x)) -@ +\end{chunk} -For the moment we throw an error if we try to differentiate [[polygamma]] with +For the moment we throw an error if we try to differentiate polygamma with respect to the first argument. -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} ipolygamma(l: List F, x: SE): F == member?(x, variables first l) => error "cannot differentiate polygamma with respect to the first argument" @@ -31863,16 +31866,16 @@ - differentiate(x, t)* x ** (a - 1) * exp(-x) setProperty(opGamma2, SPECIALDIFF, iGamma2@((List F, SE)->F) pretend None) -@ +\end{chunk} Finally, we tell Axiom to use these functions for differentiation. Note that -up to [[patch--50]], the properties for the Bessel functions were set using -[[derivative(oppolygamma, [lzero, ipolygammaGrad])]], where [[lzero]] returned -zero always. Trying to replace [[lzero]] by a function that returns the first +up to patch--50, the properties for the Bessel functions were set using +derivative(oppolygamma, [lzero, ipolygammaGrad]), where lzero returned +zero always. Trying to replace lzero by a function that returns the first component of the gradient failed, it resulted in an infinite loop for -[[integrate(D(besselJ(a,x),a),a)]]. +integrate(D(besselJ(a,x),a),a). -<>= +\begin{chunk}{package FSPECF FunctionalSpecialFunction} derivative(opabs, (x:F):F +-> abs(x) * inv(x)) derivative(opGamma, (x:F):F +-> digamma x * Gamma x) derivative(opBeta, [iBetaGrad1, iBetaGrad2]) @@ -31888,13 +31891,13 @@ setProperty(opBesselK, SPECIALDIFF, iBesselK@((List F, SE)->F) pretend None) -@ -<>= +\end{chunk} +\begin{chunk}{FSPECF.dotabb} "FSPECF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSPECF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "FSPECF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFCAT2 FunctionFieldCategoryFunctions2} \pagehead{FunctionFieldCategoryFunctions2}{FFCAT2} @@ -31903,7 +31906,7 @@ {\bf Exports:}\\ \cross{FFCAT2}{map} -<>= +\begin{chunk}{package FFCAT2 FunctionFieldCategoryFunctions2} )abbrev package FFCAT2 FunctionFieldCategoryFunctions2 ++ Author: Manuel Bronstein ++ Date Created: May 1988 @@ -31930,13 +31933,13 @@ map(f, f1) == reduce(map(f, lift f1)$MultipleMap(R1, UP1, UPUP1, R2, UP2, UPUP2)) -@ -<>= +\end{chunk} +\begin{chunk}{FFCAT2.dotabb} "FFCAT2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFCAT2"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "FFCAT2" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FFINTBAS FunctionFieldIntegralBasis} \pagehead{FunctionFieldIntegralBasis}{FFINTBAS} @@ -31948,7 +31951,7 @@ \cross{FFINTBAS}{localIntegralBasis} \end{tabular} -<>= +\begin{chunk}{package FFINTBAS FunctionFieldIntegralBasis} )abbrev package FFINTBAS FunctionFieldIntegralBasis ++ Author: Victor Miller ++ Date Created: 9 April 1990 @@ -32068,13 +32071,13 @@ [scalarMatrix(n,1),1,scalarMatrix(n,1)] iIntegralBasis(tfm,disc,prime) -@ -<>= +\end{chunk} +\begin{chunk}{FFINTBAS.dotabb} "FFINTBAS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FFINTBAS"] "FRAMALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRAMALG"] "FFINTBAS" -> "FRAMALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMASSFS FunctionSpaceAssertions} \pagehead{FunctionSpaceAssertions}{PMASSFS} @@ -32088,7 +32091,7 @@ \cross{PMASSFS}{optional} \end{tabular} -<>= +\begin{chunk}{package PMASSFS FunctionSpaceAssertions} )abbrev package PMASSFS FunctionSpaceAssertions ++ Author: Manuel Bronstein ++ Date Created: 21 Mar 1989 @@ -32160,13 +32163,13 @@ ass(retract(x)@K, PMMULT) error "multiple must be applied to symbols only" -@ -<>= +\end{chunk} +\begin{chunk}{PMASSFS.dotabb} "PMASSFS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMASSFS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "PMASSFS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMPREDFS FunctionSpaceAttachPredicates} \pagehead{FunctionSpaceAttachPredicates}{PMPREDFS} @@ -32175,7 +32178,7 @@ {\bf Exports:}\\ \cross{PMPREDFS}{suchThat} -<>= +\begin{chunk}{package PMPREDFS FunctionSpaceAttachPredicates} )abbrev package PMPREDFS FunctionSpaceAttachPredicates ++ Author: Manuel Bronstein ++ Date Created: 21 Mar 1989 @@ -32224,13 +32227,13 @@ st(retract(p)@K, [f::Any for f in l]) error "suchThat must be applied to symbols only" -@ -<>= +\end{chunk} +\begin{chunk}{PMPREDFS.dotabb} "PMPREDFS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMPREDFS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "PMPREDFS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSCINT FunctionSpaceComplexIntegration} \pagehead{FunctionSpaceComplexIntegration}{FSCINT} @@ -32243,7 +32246,7 @@ \cross{FSCINT}{internalIntegrate0} \end{tabular} -<>= +\begin{chunk}{package FSCINT FunctionSpaceComplexIntegration} )abbrev package FSCINT FunctionSpaceComplexIntegration ++ Author: Manuel Bronstein ++ Date Created: 4 February 1988 @@ -32317,13 +32320,13 @@ map(FG2F, lfintegrate(h, x)) internalIntegrate0(rootSimp(rischNormalize(g, x).func), x) -@ -<>= +\end{chunk} +\begin{chunk}{FSCINT.dotabb} "FSCINT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSCINT"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "FSCINT" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FS2 FunctionSpaceFunctions2} \pagehead{FunctionSpaceFunctions2}{FS2} @@ -32332,7 +32335,7 @@ {\bf Exports:}\\ \cross{FS2}{map} -<>= +\begin{chunk}{package FS2 FunctionSpaceFunctions2} )abbrev package FS2 FunctionSpaceFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 22 March 1988 @@ -32370,13 +32373,13 @@ else map(f, x) == smpmap(f, numer x) -@ -<>= +\end{chunk} +\begin{chunk}{FS2.dotabb} "FS2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FS2"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "FS2" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSINT FunctionSpaceIntegration} \pagehead{FunctionSpaceIntegration}{FSINT} @@ -32385,7 +32388,7 @@ {\bf Exports:}\\ \cross{FSINT}{integrate} -<>= +\begin{chunk}{package FSINT FunctionSpaceIntegration} )abbrev package FSINT FunctionSpaceIntegration ++ Author: Manuel Bronstein ++ Date Created: 4 February 1988 @@ -32516,13 +32519,13 @@ postSubst(u::F, rec.vals, rec.kers, comp, ltg, x) [postSubst(h, rec.vals, rec.kers, comp, ltg, x) for h in u::List(F)] -@ -<>= +\end{chunk} +\begin{chunk}{FSINT.dotabb} "FSINT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSINT"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "FSINT" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSPRMELT FunctionSpacePrimitiveElement} \pagehead{FunctionSpacePrimitiveElement}{FSPRMELT} @@ -32531,7 +32534,7 @@ {\bf Exports:}\\ \cross{FSPRMELT}{primitiveElement} -<>= +\begin{chunk}{package FSPRMELT FunctionSpacePrimitiveElement} )abbrev package FSPRMELT FunctionSpacePrimitiveElement ++ Author: Manuel Bronstein ++ Date Created: 6 Jun 1990 @@ -32638,13 +32641,13 @@ univariate(-coefficient(r,0)/leadingCoefficient r,k,minPoly k) error "GCD not of degree 1" -@ -<>= +\end{chunk} +\begin{chunk}{FSPRMELT.dotabb} "FSPRMELT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSPRMELT"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "FSPRMELT" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSRED FunctionSpaceReduce} \pagehead{FunctionSpaceReduce}{FSRED} @@ -32656,7 +32659,7 @@ \cross{FSRED}{newReduc} \end{tabular} -<>= +\begin{chunk}{package FSRED FunctionSpaceReduce} )abbrev package FSRED FunctionSpaceReduce ++ Author: Manuel Bronstein ++ Date Created: 1988 @@ -32715,13 +32718,13 @@ setelt(redmap, k, random()$Z)::F u::Z::F -@ -<>= +\end{chunk} +\begin{chunk}{FSRED.dotabb} "FSRED" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSRED"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "FSRED" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SUMFS FunctionSpaceSum} \pagehead{FunctionSpaceSum}{SUMFS} @@ -32730,7 +32733,7 @@ {\bf Exports:}\\ \cross{SUMFS}{sum} -<>= +\begin{chunk}{package SUMFS FunctionSpaceSum} )abbrev package SUMFS FunctionSpaceSum ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -32786,15 +32789,15 @@ (u := GospersMethod(f, k, newk)) case "failed" => "failed" x1 * eval(u::F, k, k::F - 1) -@ -<>= +\end{chunk} +\begin{chunk}{SUMFS.dotabb} "SUMFS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SUMFS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "SUMFS" -> "FS" "SUMFS" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FS2EXPXP FunctionSpaceToExponentialExpansion} \pagehead{FunctionSpaceToExponentialExpansion}{FS2EXPXP} @@ -32806,7 +32809,7 @@ \cross{FS2EXPXP}{exprToXXP} \end{tabular} -<>= +\begin{chunk}{package FS2EXPXP FunctionSpaceToExponentialExpansion} )abbrev package FS2EXPXP FunctionSpaceToExponentialExpansion ++ Author: Clifton J. Williamson ++ Date Created: 17 August 1992 @@ -33349,13 +33352,13 @@ atan coef [((cc :: UPXS) + integrate(differentiate(ups)/(1 + ups*ups))) :: XXP] -@ -<>= +\end{chunk} +\begin{chunk}{FS2EXPXP.dotabb} "FS2EXPXP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FS2EXPXP"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "FS2EXPXP" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FS2UPS FunctionSpaceToUnivariatePowerSeries} \pagehead{FunctionSpaceToUnivariatePowerSeries}{FS2UPS} @@ -33368,7 +33371,7 @@ \cross{FS2UPS}{exprToUPS} \end{tabular} -<>= +\begin{chunk}{package FS2UPS FunctionSpaceToUnivariatePowerSeries} )abbrev package FS2UPS FunctionSpaceToUnivariatePowerSeries ++ Author: Clifton J. Williamson ++ Date Created: 21 March 1989 @@ -34129,15 +34132,15 @@ expon case %problem => expon expGenUPS((expon.%series) * (logBase.%series),posCheck?,atanFlag) -@ -<>= +\end{chunk} +\begin{chunk}{FS2UPS.dotabb} "FS2UPS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FS2UPS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "FS2UPS" -> "ACF" "FS2UPS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FSUPFACT FunctionSpaceUnivariatePolynomialFactor} \pagehead{FunctionSpaceUnivariatePolynomialFactor}{FSUPFACT} @@ -34151,7 +34154,7 @@ \cross{FSUPFACT}{UP2ifCan} \end{tabular} -<>= +\begin{chunk}{package FSUPFACT FunctionSpaceUnivariatePolynomialFactor} )abbrev package FSUPFACT FunctionSpaceUnivariatePolynomialFactor ++ Author: Manuel Bronstein ++ Date Created: 12 May 1988 @@ -34290,15 +34293,15 @@ $PolynomialCategoryLifting(IndexedExponents K,K,R,PR,PQ) "failed" -@ -<>= +\end{chunk} +\begin{chunk}{FSUPFACT.dotabb} "FSUPFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FSUPFACT"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FSUPFACT" -> "FS" "FSUPFACT" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter G} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -34319,7 +34322,7 @@ \cross{GALFACTU}{singleFactorBound} & \end{tabular} -<>= +\begin{chunk}{package GALFACTU GaloisGroupFactorizationUtilities} )abbrev package GALFACTU GaloisGroupFactorizationUtilities ++ Author: Frederic Lehobey ++ Date Created: 30 June 1994 @@ -34477,13 +34480,13 @@ bombieriNorm(f:UP):F == bombieriNorm(f,2) -- See [1] -@ -<>= +\end{chunk} +\begin{chunk}{GALFACTU.dotabb} "GALFACTU" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GALFACTU"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GALFACTU" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GALFACT GaloisGroupFactorizer} \pagehead{GaloisGroupFactorizer}{GALFACT} @@ -34511,7 +34514,7 @@ \cross{GALFACT}{useSingleFactorBound?} && \end{tabular} -<>= +\begin{chunk}{package GALFACT GaloisGroupFactorizer} )abbrev package GALFACT GaloisGroupFactorizer ++ Author: Frederic Lehobey ++ Date Created: 28 June 1994 @@ -35314,13 +35317,13 @@ factorOfDegree(d:P,p:UP):Union(UP,"failed") == factorOfDegree(d,p,new(degree p,1)$List(N),2,false) -@ -<>= +\end{chunk} +\begin{chunk}{GALFACT.dotabb} "GALFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GALFACT"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "GALFACT" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GALPOLYU GaloisGroupPolynomialUtilities} \pagehead{GaloisGroupPolynomialUtilities}{GALPOLYU} @@ -35338,7 +35341,7 @@ \cross{GALPOLYU}{unvectorise} && \end{tabular} -<>= +\begin{chunk}{package GALPOLYU GaloisGroupPolynomialUtilities} )abbrev package GALPOLYU GaloisGroupPolynomialUtilities ++ Author: Frederic Lehobey ++ Date Created: 30 June 1994 @@ -35438,13 +35441,13 @@ shiftRoots(p:UP,c:R):UP == elt(map(coerce,p),monomial(1,1)$UP-c::UP)::UP -@ -<>= +\end{chunk} +\begin{chunk}{GALPOLYU.dotabb} "GALPOLYU" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GALPOLYU"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GALPOLYU" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GALUTIL GaloisGroupUtilities} \pagehead{GaloisGroupUtilities}{GALUTIL} @@ -35461,7 +35464,7 @@ \cross{GALUTIL}{sizePascalTriangle} &&& \end{tabular} -<>= +\begin{chunk}{package GALUTIL GaloisGroupUtilities} )abbrev package GALUTIL GaloisGroupUtilities ++ Author: Frederic Lehobey ++ Date Created: 29 June 1994 @@ -35578,13 +35581,13 @@ fillPascalTriangle():Void == pascalTriangle(rangepascaltriangle,2) -@ -<>= +\end{chunk} +\begin{chunk}{GALUTIL.dotabb} "GALUTIL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GALUTIL"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "GALUTIL" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GAUSSFAC GaussianFactorizationPackage} \pagehead{GaussianFactorizationPackage}{GAUSSFAC} @@ -35597,7 +35600,7 @@ \cross{GAUSSFAC}{sumSquares} \end{tabular} -<>= +\begin{chunk}{package GAUSSFAC GaussianFactorizationPackage} )abbrev package GAUSSFAC GaussianFactorizationPackage ++ Author: Patrizia Gianni ++ Date Created: Summer 1986 @@ -35775,13 +35778,13 @@ -- and false, otherwise prime?(p)$IntegerPrimesPackage(Z) -@ -<>= +\end{chunk} +\begin{chunk}{GAUSSFAC.dotabb} "GAUSSFAC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GAUSSFAC"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "GAUSSFAC" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GHENSEL GeneralHenselPackage} \pagehead{GeneralHenselPackage}{GHENSEL} @@ -35794,7 +35797,7 @@ \cross{GHENSEL}{reduction} \end{tabular} -<>= +\begin{chunk}{package GHENSEL GeneralHenselPackage} )abbrev package GHENSEL GeneralHenselPackage ++ Author : P.Gianni ++ Description: @@ -35942,13 +35945,13 @@ if dfn > 0 then finallist := cons(m,finallist) finallist -@ -<>= +\end{chunk} +\begin{chunk}{GHENSEL.dotabb} "GHENSEL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GHENSEL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GHENSEL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GENMFACT GeneralizedMultivariateFactorize} \pagehead{GeneralizedMultivariateFactorize}{GENMFACT} @@ -35957,7 +35960,7 @@ {\bf Exports:}\\ \cross{GENMFACT}{factor} -<>= +\begin{chunk}{package GENMFACT GeneralizedMultivariateFactorize} )abbrev package GENMFACT GeneralizedMultivariateFactorize ++ Author: P. Gianni ++ Date Created: 1983 @@ -36005,16 +36008,16 @@ factor(p)$MultivariateFactorize(OV,E,R,P) squareFree p -@ -<>= +\end{chunk} +\begin{chunk}{GENMFACT.dotabb} "GENMFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GENMFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GENMFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GPAFF GeneralPackageForAlgebraicFunctionField} -<>= +\begin{chunk}{GeneralPackageForAlgebraicFunctionField.input} )set break resume )sys rm -f GeneralPackageForAlgebraicFunctionField.output )spool GeneralPackageForAlgebraicFunctionField.output @@ -36066,8 +36069,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GeneralPackageForAlgebraicFunctionField.help} ==================================================================== GeneralPackageForAlgebraicFunctionField examples ==================================================================== @@ -36075,7 +36078,7 @@ See Also: o )show GeneralPackageForAlgebraicFunctionField -@ +\end{chunk} \pagehead{GeneralPackageForAlgebraicFunctionField}{GPAFF} \pagepic{ps/v104generalpackageforalgebraicfunctionfield.eps}{GPAFF}{1.00} @@ -36114,7 +36117,7 @@ \cross{GPAFF}{ZetaFunction} && \end{tabular} -<>= +\begin{chunk}{package GPAFF GeneralPackageForAlgebraicFunctionField} )abbrev package GPAFF GeneralPackageForAlgebraicFunctionField ++ Author: Gaetan Hache ++ Date created: June 1995 @@ -36779,15 +36782,15 @@ classNumber():Integer == LPolynomial()(1) -@ -<>= +\end{chunk} +\begin{chunk}{GPAFF.dotabb} "GPAFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GPAFF"] "DTP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DTP"] "INTDIVP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTDIVP"] "GPAFF" -> "INTDIVP" "GPAFF" -> "DTP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GENPGCD GeneralPolynomialGcdPackage} \pagehead{GeneralPolynomialGcdPackage}{GENPGCD} @@ -36799,7 +36802,7 @@ \cross{GENPGCD}{randomR} \end{tabular} -<>= +\begin{chunk}{package GENPGCD GeneralPolynomialGcdPackage} )abbrev package GENPGCD GeneralPolynomialGcdPackage ++ Description: ++ This package provides operations for GCD computations on polynomials @@ -37434,13 +37437,13 @@ --JHD [[q,(f exquo q)::P]$ContPrim for q in prelim for f in listf] --JHD -@ -<>= +\end{chunk} +\begin{chunk}{GENPGCD.dotabb} "GENPGCD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GENPGCD"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GENPGCD" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GENUPS GenerateUnivariatePowerSeries} \pagehead{GenerateUnivariatePowerSeries}{GENUPS} @@ -37454,7 +37457,7 @@ \cross{GENUPS}{taylor} \end{tabular} -<>= +\begin{chunk}{package GENUPS GenerateUnivariatePowerSeries} )abbrev package GENUPS GenerateUnivariatePowerSeries ++ Author: Clifton J. Williamson ++ Date Created: 29 April 1990 @@ -37650,15 +37653,15 @@ series(f:RN -> FE,eq:EQ FE,seg:SEG RN,r:RN) == puiseux(f,eq,seg,r) series(an:FE,n:SY,eq:EQ FE,seg:SEG RN,r:RN) == puiseux(an,n,eq,seg,r) -@ -<>= +\end{chunk} +\begin{chunk}{GENUPS.dotabb} "GENUPS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GENUPS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "GENUPS" -> "ACF" "GENUPS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GENEEZ GenExEuclid} \pagehead{GenExEuclid}{GENEEZ} @@ -37673,7 +37676,7 @@ \cross{GENEEZ}{testModulus} \end{tabular} -<>= +\begin{chunk}{package GENEEZ GenExEuclid} )abbrev package GENEEZ GenExEuclid ++ Author : P.Gianni. ++ Date Created: January 1990 @@ -37869,13 +37872,13 @@ a:BP:=((fs-m) exquo pmod)::BP liftSol(soln,a,pmod,pmod,table,m,bound) -@ -<>= +\end{chunk} +\begin{chunk}{GENEEZ.dotabb} "GENEEZ" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GENEEZ"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GENEEZ" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GENUFACT GenUFactorize} \pagehead{GenUFactorize}{GENUFACT} @@ -37884,7 +37887,7 @@ {\bf Exports:}\\ \cross{GENUFACT}{factor} -<>= +\begin{chunk}{package GENUFACT GenUFactorize} )abbrev package GENUFACT GenUFactorize ++ Description: ++ This package provides operations for the factorization @@ -37946,15 +37949,15 @@ factorWarning(f::OutputForm) squareFree f -@ -<>= +\end{chunk} +\begin{chunk}{GENUFACT.dotabb} "GENUFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GENUFACT"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "GENUFACT" -> "COMPCAT" "GENUFACT" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTG0 GenusZeroIntegration} \pagehead{GenusZeroIntegration}{INTG0} @@ -37972,7 +37975,7 @@ \cross{INTG0}{univariate} \end{tabular} -<>= +\begin{chunk}{package INTG0 GenusZeroIntegration} )abbrev package INTG0 GenusZeroIntegration ++ Author: Manuel Bronstein ++ Date Created: 11 October 1988 @@ -38232,18 +38235,18 @@ rec.particular case "failed" => ["failed", bas] [multivariate((rec.particular)::RF, y), bas] -@ -<>= +\end{chunk} +\begin{chunk}{INTG0.dotabb} "INTG0" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTG0"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "INTG0" -> "FS" "INTG0" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GDRAW GnuDraw} -<>= +\begin{chunk}{GnuDraw.input} )set break resume )sys rm -f GnuDraw.output )spool GnuDraw.output @@ -38267,8 +38270,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GnuDraw.help} ==================================================================== GnuDraw examples ==================================================================== @@ -38276,14 +38279,14 @@ See Also: o )show GnuDraw -@ +\end{chunk} \pagehead{GnuDraw}{GDRAW} \pagepic{ps/v104gnudraw.ps}{GDRAW}{1.00} {\bf Exports:}\\ \cross{GDRAW}{GospersMethod} -<>= +\begin{chunk}{package GDRAW GnuDraw} )abbrev package GDRAW GnuDraw ++ Author: Bill Page and David Cyganski ++ Date: June 25, 2008 @@ -38368,13 +38371,13 @@ -- default title is "" gnuDraw(f:EF,segbind1:SBF, segbind2:SBF, filename:STR):Void == gnuDraw(f,segbind1,segbind2,filename,[title("")$DROP]) -@ -<>= +\end{chunk} +\begin{chunk}{GDRAW.dotabb} "GDRAW" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GDRAW"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "GDRAW" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GOSPER GosperSummationMethod} \pagehead{GosperSummationMethod}{GOSPER} @@ -38383,7 +38386,7 @@ {\bf Exports:}\\ \cross{GOSPER}{GospersMethod} -<>= +\begin{chunk}{package GOSPER GosperSummationMethod} )abbrev package GOSPER GosperSummationMethod ++ Author: SMW ++ Date Created: ??? @@ -38596,13 +38599,13 @@ rt < 0 or denom rt ^= 1 => "failed" numer rt -@ -<>= +\end{chunk} +\begin{chunk}{GOSPER.dotabb} "GOSPER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GOSPER"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GOSPER" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GRDEF GraphicsDefaults} \pagehead{GraphicsDefaults}{GRDEF} @@ -38618,7 +38621,7 @@ \cross{GRDEF}{screenResolution} \end{tabular} -<>= +\begin{chunk}{package GRDEF GraphicsDefaults} )abbrev package GRDEF GraphicsDefaults ++ Author: Clifton J. Williamson ++ Date Created: 8 January 1990 @@ -38706,13 +38709,13 @@ maxPoints n == setMaxPoints(n)$Plot screenResolution n == setScreenResolution(n)$Plot -@ -<>= +\end{chunk} +\begin{chunk}{GRDEF.dotabb} "GRDEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GRDEF"] "Package" [color="#FF4488"] "GRDEF" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GRAY GrayCode} \pagehead{GrayCode}{GRAY} @@ -38724,7 +38727,7 @@ \cross{GRAY}{nextSubsetGray} \end{tabular} -<>= +\begin{chunk}{package GRAY GrayCode} )abbrev package GRAY GrayCode ++ Authors: Johannes Grabmeier, Oswald Gschnitzer ++ Date Created: 7 August 1989 @@ -38799,16 +38802,16 @@ lab(c+1) := c+1 vv -@ -<>= +\end{chunk} +\begin{chunk}{GRAY.dotabb} "GRAY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GRAY"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "GRAY" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GBF GroebnerFactorizationPackage} -<>= +\begin{chunk}{GroebnerFactorizationPackage.input} )set break resume )sys rm -f GroebnerFactorizationPackage.output )spool GroebnerFactorizationPackage.output @@ -38886,8 +38889,8 @@ --E 3 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GroebnerFactorizationPackage.help} ==================================================================== GroebnerFactorizationPackage examples ==================================================================== @@ -39008,7 +39011,7 @@ o) show GroebnerPackage o )show EuclideanGroebnerBasisPackage -@ +\end{chunk} \pagehead{GroebnerFactorizationPackage}{GBF} \pagepic{ps/v104groebnerfactorizationpackage.ps}{GBF}{1.00} @@ -39018,7 +39021,7 @@ \cross{GBF}{groebnerFactorize} \end{tabular} -<>= +\begin{chunk}{package GBF GroebnerFactorizationPackage} )abbrev package GBF GroebnerFactorizationPackage ++ Author: H. Michael Moeller, Johannes Grabmeier ++ Date Created: 24 August 1989 @@ -39355,13 +39358,13 @@ groebnerFactorize(basis) == groebnerFactorize(basis, [], false) groebnerFactorize(basis,info) == groebnerFactorize(basis, [], info) -@ -<>= +\end{chunk} +\begin{chunk}{GBF.dotabb} "GBF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GBF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GBF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GBINTERN GroebnerInternalPackage} \pagehead{GroebnerInternalPackage}{GBINTERN} @@ -39395,7 +39398,7 @@ \cross{GBINTERN}{virtualDegree} & \end{tabular} -<>= +\begin{chunk}{package GBINTERN GroebnerInternalPackage} )abbrev package GBINTERN GroebnerInternalPackage ++ Author: ++ Date Created: @@ -39854,16 +39857,16 @@ prinb(1) n -@ -<>= +\end{chunk} +\begin{chunk}{GBINTERN.dotabb} "GBINTERN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GBINTERN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "GBINTERN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GB GroebnerPackage} -<>= +\begin{chunk}{GroebnerPackage.input} )set break resume )sys rm -f GroebnerPackage.output )spool GroebnerPackage.output @@ -41105,8 +41108,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{GroebnerPackage.help} ==================================================================== groebner examples ==================================================================== @@ -41155,7 +41158,7 @@ o )show HomogeneousDistributedMultivariatePolynomial o )show EuclideanGroebnerBasisPackage -@ +\end{chunk} \pagehead{GroebnerPackage}{GB} \pagepic{ps/v104groebnerpackage.ps}{GB}{1.00} @@ -41165,7 +41168,7 @@ \cross{GB}{normalForm} \end{tabular} -<>= +\begin{chunk}{package GB GroebnerPackage} )abbrev package GB GroebnerPackage ++ Authors: Gebauer, Trager ++ Date Created: 12-1-86 @@ -41316,15 +41319,15 @@ messagePrint(" ") [] -@ -<>= +\end{chunk} +\begin{chunk}{GB.dotabb} "GB" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GB"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "GB" -> "PFECAT" "GB" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GROEBSOL GroebnerSolve} \pagehead{GroebnerSolve}{GROEBSOL} @@ -41337,7 +41340,7 @@ \cross{GROEBSOL}{testDim} \end{tabular} -<>= +\begin{chunk}{package GROEBSOL GroebnerSolve} )abbrev package GROEBSOL GroebnerSolve ++ Author : P.Gianni, Summer '88, revised November '89 ++ Description: @@ -41528,15 +41531,15 @@ ^(zeroDim?(leq1,lvar)) => "failed" leq1 -@ -<>= +\end{chunk} +\begin{chunk}{GROEBSOL.dotabb} "GROEBSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GROEBSOL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "GROEBSOL" -> "PFECAT" "GROEBSOL" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESS Guess} The packages defined in this file enable {Axiom} to guess formulas for @@ -41564,7 +41567,7 @@ \cross{GUESS}{shiftHP} && \end{tabular} -<>= +\begin{chunk}{package GUESS Guess} )abbrev package GUESS Guess ++ Author: Martin Rubey ++ Description: @@ -41667,17 +41670,17 @@ FPOLYS ==> Fraction POLYS FSUPFPOLYS ==> Fraction SUP FPOLYS -@ +\end{chunk} The following should be commented out when not debugging, see also Section~\ref{sec:Hermite-Pade}. -<>= +\begin{chunk}{package GUESS Guess} --@<> -- EXT ==> (Integer, V, V) -> FPOLYS -- EXTEXPR ==> (Symbol, F, F) -> EXPRR -@ +\end{chunk} -<>= +\begin{chunk}{package GUESS Guess} Exports == with guess: List F -> GUESSRESULT @@ -41870,9 +41873,9 @@ ++ options. --@<> -@ +\end{chunk} -<>= +\begin{chunk}{debug exports: Guess} --termAsUFPSF: (UFPSF, List Integer, DIFFSPECS, DIFFSPEC1) -> UFPSF --termAsUFPSF2: (UFPSF, List Integer, DIFFSPECS, DIFFSPEC1) -> UFPSF --termAsEXPRR: (EXPRR, Symbol, List Integer, DIFFSPECX, DIFFSPEC1X) -> EXPRR @@ -41899,30 +41902,30 @@ --binExtEXPR: EXTEXPR --defaultD: DIFFSPECN -@ +\end{chunk} -<>= +\begin{chunk}{package GUESS Guess} Implementation == add - <> -@ +\getchunk{implementation: Guess} +\end{chunk} -<>= +\begin{chunk}{implementation: Guess} -- We have to put this chunk at the beginning, because otherwise it will take -- very long to compile. -<> +\getchunk{implementation: Guess - guessExpRat - Order and Degree} -<> -<> -<> -<> -<> -@ +\getchunk{implementation: Guess - Utilities} +\getchunk{implementation: Guess - guessExpRat} +\getchunk{implementation: Guess - guessBinRat} +\getchunk{implementation: Guess - Hermite-Pade} +\getchunk{implementation: Guess - guess} +\end{chunk} \subsection{general utilities} -<>= +\begin{chunk}{implementation: Guess - Utilities} checkResult(res: EXPRR, n: Symbol, l: Integer, list: List F, options: LGOPT): NNI == for i in l..1 by -1 repeat @@ -41942,21 +41945,21 @@ else error "Type parameter F should be either equal to S or equal _ to Fraction S" -@ +\end{chunk} %$ \subsection{guessing rational functions with an exponential term} -<>= -<> -<> -@ +\begin{chunk}{implementation: Guess - guessExpRat} +\getchunk{implementation: Guess - guessExpRat - Utilities} +\getchunk{implementation: Guess - guessExpRat - Main} +\end{chunk} \subsubsection{Utilities} \paragraph{conversion routines} -<>= +\begin{chunk}{implementation: Guess - guessExpRat - Utilities} F2FPOLYS(p: F): FPOLYS == if F is S then p::POLYF::FPOLYF pretend FPOLYS @@ -42022,11 +42025,11 @@ -- WARNING (genufact): No known algorithm to factor ? , trying square-free. -- GF ==> GenUFactorize F -@ +\end{chunk} \paragraph{mimicking $q$-analoga} -<>= +\begin{chunk}{implementation: Guess - guessExpRat - Utilities} defaultD: DIFFSPECN defaultD(expr: EXPRR): EXPRR == expr @@ -42034,17 +42037,17 @@ DN2DL: (DIFFSPECN, Integer) -> F DN2DL(DN, i) == retract(retract(DN(i::EXPRR))@R) -<> -<> -@ +\getchunk{implementation: Guess - guessExpRat - evalResultant} +\getchunk{implementation: Guess - guessExpRat - substitute} +\end{chunk} \subsubsection{reducing the degree of the polynomials} -The degree of [[poly3]] is governed by $(a_0+x_m a_1)^{x_m}$. Therefore, we +The degree of poly3 is governed by $(a_0+x_m a_1)^{x_m}$. Therefore, we substitute $A-x_m a1$ for $a_0$, which reduces the degree in $a_1$ by $x_m-x_{i+1}$. -<>= +\begin{chunk}{implementation: Guess - guessExpRat - substitute} p(xm: Integer, i: Integer, va1: V, vA: V, basis: DIFFSPECN): FPOLYS == vA::POLYS::FPOLYS + va1::POLYS::FPOLYS _ * F2FPOLYS(DN2DL(basis, i) - DN2DL(basis, xm)) @@ -42052,24 +42055,24 @@ p2(xm: Integer, i: Symbol, a1v: F, Av: F, basis: DIFFSPECN): EXPRR == coerce(Av) + coerce(a1v)*(basis(i::EXPRR) - basis(xm::EXPRR)) -@ +\end{chunk} -<>= +\begin{chunk}{not interesting implementation: Guess - guessExpRat - substitute} p(xm: Integer, i: Integer, va1: V, vA: V, basis: DIFFSPECN): FPOLYS == vA::POLYS::FPOLYS + (i-xm)*va1::POLYS::FPOLYS p2(xm: Integer, i: Symbol, a1v: F, Av: F, basis: DIFFSPECN): EXPRR == coerce(Av) + coerce(a1v)*(i::EXPRR - xm::EXPRR) -@ +\end{chunk} \subsubsection{Order and Degree} -The following expressions for order and degree of the resultants [[res1]] and -[[res2]] in [[guessExpRatAux]] were first guessed -- partially with the aid of -[[guessRat]], and then proven to be correct. +The following expressions for order and degree of the resultants res1 and +res2 in guessExpRatAux were first guessed -- partially with the aid of +guessRat, and then proven to be correct. -<>= +\begin{chunk}{implementation: Guess - guessExpRat - Order and Degree} ord1(x: List Integer, i: Integer): Integer == n := #x - 3 - i x.(n+1)*reduce(_+, [x.j for j in 1..n], 0) + _ @@ -42096,12 +42099,12 @@ (x.(m+3) + reduce(_+, [x.j for j in 2+i..m], 0)) * _ (x.(m+2)-x.(m+1)) -@ +\end{chunk} -[[evalResultant]] evaluates the resultant of [[p1]] and [[p2]] at [[d-o+1]] +evalResultant evaluates the resultant of p1 and p2 at d-o+1 points, so that we can recover it by interpolation. -<>= +\begin{chunk}{implementation: Guess - guessExpRat - evalResultant} evalResultant(p1: POLYS, p2: POLYS, o: Integer, d: Integer, va1: V, vA: V)_ : List S == res: List S := [] @@ -42112,7 +42115,7 @@ p1atk := univariate eval(p1, vA, k::S) p2atk := univariate eval(p2, vA, k::S) -@ +\end{chunk} It may happen, that the leading coefficients of one or both of the polynomials changes, when we evaluate it at $k$. In this case, we need to correct this by @@ -42125,7 +42128,7 @@ coefficient of $p1$ on the diagonal. The same thing happens, if we exchange the roles of $p1$ and $p2$, only that we have to take care of the sign, too. -<>= +\begin{chunk}{implementation: Guess - guessExpRat - evalResultant} d1atk := degree p1atk d2atk := degree p2atk @@ -42149,21 +42152,21 @@ (k::S)**(o::NNI))::S, res) -@ +\end{chunk} %$ Since we also have an lower bound for the order of the resultant, we need to evaluate it only at $d-o+1$ points. Furthermore, we can divide by $k^o$ and still obtain a polynomial. -<>= +\begin{chunk}{implementation: Guess - guessExpRat - evalResultant} reverse res -@ +\end{chunk} \subsubsection{The main routine} -<>= +\begin{chunk}{implementation: Guess - guessExpRat - Main} guessExpRatAux(xx: Symbol, list: List F, basis: DIFFSPECN, xValues: List Integer, options: LGOPT): List EXPRR == @@ -42179,12 +42182,12 @@ x2 := F2FPOLYS DN2DL(basis, xValues.(len+2)) x3 := F2FPOLYS DN2DL(basis, xValues.(len+3)) -@ +\end{chunk} We try to fit the data $(s1,s2,\dots)$ to the model $(a+b n)^n y(n)$, $r$ being a rational function. To obtain $y$, we compute $y(n)=s_n*(a+b n)^{-n}$. -<>= +\begin{chunk}{implementation: Guess - guessExpRat - Main} y: NNI -> FPOLYS := F2FPOLYS(list.#1) * _ p(last xValues, (xValues.#1)::Integer, a1, A, basis)**_ @@ -42206,21 +42209,21 @@ output(hconcat("degree ExpRat "::OutputForm, i::OutputForm)) $OutputPackage -@ +\end{chunk} \begin{verbatim} - Shouldn't we use the algorithm over [[POLYS]] here? Strange enough, for + Shouldn't we use the algorithm over POLYS here? Strange enough, for polynomial interpolation, it is faster, but for rational interpolation \emph{much} slower. This should be investigated. \end{verbatim} \begin{verbatim} - It seems that [[maxDeg]] bounds the degree of the denominator, rather than - the numerator? This is now added to the documentation of [[maxDegree]], it + It seems that maxDeg bounds the degree of the denominator, rather than + the numerator? This is now added to the documentation of maxDegree, it should make sense. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - guessExpRat - Main} if debug(options)$GOPT0 then systemCommand("sys date +%s")$MoreSystemCommands output("interpolating..."::OutputForm)$OutputPackage @@ -42435,7 +42438,7 @@ guessExpRat(q: Symbol): GUESSER == guessExpRatAux0(#1, q::EXPRR**#1, #2) -@ +\end{chunk} \subsection{guessing rational functions with a binomial term} @@ -42450,11 +42453,11 @@ \end{equation*} which includes rational functions times $n!$. We choose the former, since dividing by $n!$ is a common normalisation. The question remains whether we - should do the same for [[guessExpRat]]. + should do the same for guessExpRat. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - guessBinRat} EXT ==> (Integer, V, V) -> FPOLYS EXTEXPR ==> (Symbol, F, F) -> EXPRR @@ -42488,13 +42491,13 @@ x2 := F2FPOLYS DN2DL(basis, xValues.(len+2)) x3 := F2FPOLYS DN2DL(basis, xValues.(len+3)) -@ +\end{chunk} We try to fit the data $(s1,s2,\dots)$ to the model $\binom{a+b n}{n} y(n)$, $r$ being a rational function. To obtain $y$, we compute $y(n)=s_n*\binom{a+bn}{n}^-1$. -<>= +\begin{chunk}{implementation: Guess - guessBinRat} y: NNI -> FPOLYS := F2FPOLYS(list.#1) / _ ext((xValues.#1)::Integer, a1, A) @@ -42515,21 +42518,21 @@ -- output(hconcat("degree BinRat "::OutputForm, i::OutputForm)) -- $OutputPackage -@ +\end{chunk} \begin{verbatim} - Shouldn't we use the algorithm over [[POLYS]] here? Strange enough, for + Shouldn't we use the algorithm over POLYS here? Strange enough, for polynomial interpolation, it is faster, but for rational interpolation \emph{much} slower. This should be investigated. \end{verbatim} \begin{verbatim} - It seems that [[maxDeg]] bounds the degree of the denominator, rather than - the numerator? This is now added to the documentation of [[maxDegree]], it + It seems that maxDeg bounds the degree of the denominator, rather than + the numerator? This is now added to the documentation of maxDegree, it should make sense. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - guessBinRat} -- if debug(options)$GOPT0 then -- output("interpolating..."::OutputForm)$OutputPackage @@ -42762,22 +42765,22 @@ guessBinRat(q: Symbol): GUESSER == guessBinRatAux0(#1, qD q, qBinExt q, qBinExtEXPR q, #2)_ -@ +\end{chunk} \subsection{Hermite Pad\'e interpolation}\label{sec:Hermite-Pade} -<>= -<> -<> -<> -<> -<> -<> -@ +\begin{chunk}{implementation: Guess - Hermite-Pade} +\getchunk{implementation: Guess - Hermite-Pade - Types for Operators} +\getchunk{implementation: Guess - Hermite-Pade - Streams} +\getchunk{implementation: Guess - Hermite-Pade - Operators} +\getchunk{implementation: Guess - Hermite-Pade - Utilities} +\getchunk{implementation: Guess - guessHPaux} +\getchunk{implementation: Guess - guessHP} +\end{chunk} \subsubsection{Types for Operators} -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Types for Operators} -- some useful types for Ore operators that work on series -- the differentiation operator @@ -42798,15 +42801,15 @@ DIFFSPEC1X ==> Symbol -> EXPRR -@ +\end{chunk} \subsubsection{Streams}\label{sec:streams} In this section we define some functions that provide streams for -[[HermitePade]]. +HermitePade. -The following three functions transform a partition [[l]] into a product of -derivatives of [[f]], using the given operators. We need to provide the same +The following three functions transform a partition l into a product of +derivatives of f, using the given operators. We need to provide the same functionality for expressions, series and series with a transcendental element. Only for expressions we do not provide a version using the Hadamard product, although it would be quite easy to define an appropriate operator on @@ -42816,7 +42819,7 @@ expression $(f^{(\lambda_1-1)})^{p_1}(f^{(\lambda_2-1)})^{p_2}\cdots$, i.e., the size of the part is interpreted as derivative, the exponent as power. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Streams} termAsEXPRR(f: EXPRR, xx: Symbol, l: List Integer, DX: DIFFSPECX, D1X: DIFFSPEC1X): EXPRR == if empty? l then D1X(xx) @@ -42885,7 +42888,7 @@ reduce(hadamard$UFPS1(SUP F), fl) -@ +\end{chunk} %$ It is not clear whether we should \lq prefer\rq\ shifting and differentiation over @@ -42911,7 +42914,7 @@ Note that we conjugate all partitions at the very end of the following procedure\dots -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Streams} FilteredPartitionStream(options: LGOPT): Stream List Integer == maxD := 1+maxDerivative(options)$GOPT0 maxP := maxPower(options)$GOPT0 @@ -42949,7 +42952,7 @@ map(termAsUFPSF2(f, #1, DS, D1), partitions) $StreamFunctions2(List Integer, UFPSF) -@ +\end{chunk} %$ The entries of the following stream indicate how many terms we loose when @@ -42958,7 +42961,7 @@ all partitions up to index $n$. Thus, the entries of the stream are weakly increasing. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Streams} ADEdegreeStream(partitions: Stream List Integer): Stream NNI == scan(0, max((if empty? #1 then 0 else (first #1 - 1)::NNI), #2), partitions)$StreamFunctions2(List Integer, NNI) @@ -42978,7 +42981,7 @@ map(termAsEXPRR(f, xx, #1, DX, D1X), partitions) $StreamFunctions2(List Integer, EXPRR) -@ +\end{chunk} \subsubsection{Operators} We need to define operators that transform series for differentiation and @@ -43008,7 +43011,7 @@ \paragraph{The Differentiation Setting} In this setting, we have $z f(x) := x f(x)$. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} diffDX: DIFFSPECX diffDX(expr, x, n) == D(expr, x, n) @@ -43021,13 +43024,13 @@ if SUP F has _*: (NonNegativeInteger, SUP F) -> SUP F then D(s, n) -@ +\end{chunk} The next three functions extract the coefficient of $x^k$ in $z^l f(x)$. Only, for expressions, we rather need $\sum_{k\ge0} \langle x^k\rangle z^l f(x)$, i.e., the function itself, which is by definition equal to $x^l f(x)$. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} diffAX: DIFFSPECAX diffAX(l: NNI, x: Symbol, f: EXPRR): EXPRR == (x::EXPRR)**l * f @@ -43057,13 +43060,13 @@ else error "Guess: guessADE supports only displayAsGF" -@ +\end{chunk} \paragraph{$q$-dilation} In this setting, we also have $z f(x) := x f(x)$, therefore we can reuse some of the functions of the previous paragraph. Differentiation is defined by $D_q f(x, q) = f(qx, q)$. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} if F has RetractableTo Symbol and S has RetractableTo Symbol then qDiffDX(q: Symbol, expr: EXPRR, x: Symbol, n: NonNegativeInteger): EXPRR == @@ -43086,10 +43089,10 @@ else error "Guess: guessADE supports only displayAsGF" -@ +\end{chunk} \paragraph{Shifting} The shift operator transforms a sequence $u(k)$ into -$u(k+1)$. We also provide operators [[ShiftSXGF]], [[ShiftAXGF]] that act on +$u(k+1)$. We also provide operators ShiftSXGF, ShiftAXGF that act on the power series, as long as no powering is involved. In this case, shifting transforms $f(x)$ into $\frac{f(x)-f(0)}{x}$. @@ -43099,7 +43102,7 @@ % The coefficients of $x^n$ are $1, f(n), f(n+1), f(n)^2, f(n)f(n+1),\dots$ % What does this remark mean? -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} ShiftSX(expr: EXPRR, x: Symbol, n: NNI): EXPRR == eval(expr, x::EXPRR, x::EXPRR+n::EXPRR) @@ -43116,12 +43119,12 @@ ShiftSF(s:UFPSSUPF, n: NNI):UFPSSUPF == ((quoByVar #1)**n)$MappingPackage1(UFPSSUPF) (s) -@ +\end{chunk} %$ As before, next three functions extract the coefficient of $x^k$ in $z^l f(x)$. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} ShiftAX(l: NNI, n: Symbol, f: EXPRR): EXPRR == n::EXPRR**l * f @@ -43161,7 +43164,7 @@ ADEEXPRRStream(#1, #2, partitions, ShiftSX, diff1X), _ ShiftA, ShiftAF, ShiftAX, ShiftC]$HPSPEC -@ +\end{chunk} \paragraph{$q$-Shifting} The $q$-shift also transforms $u(n)$ into $u(n+1)$, and we can reuse the corresponding functions of the previous paragraph. @@ -43171,7 +43174,7 @@ %The coefficients of $x^n$ are $1, f(n), f(n+1), f(n)^2, f(n)f(n+1),\dots$ % What does this remark mean? -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} if F has RetractableTo Symbol and S has RetractableTo Symbol then qShiftAX(q: Symbol, l: NNI, n: Symbol, f: EXPRR): EXPRR == @@ -43200,26 +43203,26 @@ qShiftA(q, #1, #2, #3), qShiftAF(q, #1, #2, #3), _ qShiftAX(q, #1, #2, #3), qShiftC(q, #1)]$HPSPEC -@ +\end{chunk} %$ \paragraph{Extend the action to polynomials} The following operation uses the given action of $z$ on a function to multiply a $f$ with a polynomial. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Operators} makeEXPRR(DAX: DIFFSPECAX, x: Symbol, p: SUP F, expr: EXPRR): EXPRR == if zero? p then 0$EXPRR else coerce(leadingCoefficient p)::EXPRR * DAX(degree p, x, expr) _ + makeEXPRR(DAX, x, reductum p, expr) -@ +\end{chunk} %$ \subsubsection{Utilities} -[[list2UFPSF]] and [[list2UFPSSUPF]] transform the list passed to the guessing +list2UFPSF and list2UFPSSUPF transform the list passed to the guessing functions into a series. One might be tempted to transform the list into a polynomial instead, but the present approach makes computing powers and derivatives much cheaper, since, because of laziness, only coefficients that @@ -43231,27 +43234,27 @@ other words, this transcendental element simply represents the $O(x^d)$, when $d$ is the number of elements in the list. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Utilities} list2UFPSF(list: List F): UFPSF == series(list::Stream F)$UFPSF list2UFPSSUPF(list: List F): UFPSSUPF == l := [e::SUP(F) for e in list for i in 0..]::Stream SUP F series(l)$UFPSSUPF + monomial(monomial(1,1)$SUP(F), #list)$UFPSSUPF -@ +\end{chunk} -[[SUPF2SUPSUPF]] interprets each coefficient as a univariate polynomial. +SUPF2SUPSUPF interprets each coefficient as a univariate polynomial. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Utilities} SUPF2SUPSUPF(p: SUP F): SUP SUP F == map(#1::SUP F, p)$SparseUnivariatePolynomialFunctions2(F, SUP F) -@ +\end{chunk} -[[getListSUPF]] returns the first [[o]] elements of the stream, each truncated -after degree [[deg]]. +getListSUPF returns the first o elements of the stream, each truncated +after degree deg. -<>= +\begin{chunk}{implementation: Guess - Hermite-Pade - Utilities} UFPSF2SUPF(f: UFPSF, deg: NNI): SUP F == makeSUP univariatePolynomial(f, deg) @@ -43267,16 +43270,16 @@ else error "Type parameter F should be either equal to S or equal _ to Fraction S" -<> -<> -<> -@ +\getchunk{implementation: Guess - guessInterpolate} +\getchunk{implementation: Guess - guessInterpolate2} +\getchunk{implementation: Guess - testInterpolant} +\end{chunk} %$ -[[guessInterpolate]] calls the appropriate [[generalInterpolation]] from -[[FFFG]], for one vector of degrees, namely [[eta]]. +guessInterpolate calls the appropriate generalInterpolation from +FFFG, for one vector of degrees, namely eta. -<>= +\begin{chunk}{implementation: Guess - guessInterpolate} guessInterpolate(guessList: List SUP F, eta: List NNI, D: HPSPEC) : Matrix SUP S == if F is S then @@ -43290,12 +43293,12 @@ else error "Type parameter F should be either equal to S or equal _ to Fraction S" -@ +\end{chunk} -[[guessInterpolate2]] calls the appropriate [[generalInterpolation]] from -[[FFFG]], for all degree vectors with given [[sumEta]] and [[maxEta]]. +guessInterpolate2 calls the appropriate generalInterpolation from +FFFG, for all degree vectors with given sumEta and maxEta. -<>= +\begin{chunk}{implementation: Guess - guessInterpolate2} guessInterpolate2(guessList: List SUP F, sumEta: NNI, maxEta: NNI, D: HPSPEC): Stream Matrix SUP S == @@ -43312,10 +43315,10 @@ else error "Type parameter F should be either equal to S or equal _ to Fraction S" -@ +\end{chunk} -[[testInterpolant]] checks whether p is really a solution. -<>= +testInterpolant checks whether p is really a solution. +\begin{chunk}{implementation: Guess - testInterpolant} testInterpolant(resi: List SUP S, list: List F, testList: List UFPSSUPF, @@ -43325,25 +43328,25 @@ D: HPSPEC, dummy: Symbol, op: BasicOperator, options: LGOPT) : Union("failed", Record(function: EXPRR, order: NNI)) == -@ +\end{chunk} First we make sure it is not a solution we should have found already. Note that -we cannot check this if [[maxDegree]] is set, in which case some initial +we cannot check this if maxDegree is set, in which case some initial solutions may have been overlooked. -<>= +\begin{chunk}{implementation: Guess - testInterpolant} ((maxDegree(options)$GOPT0 = -1) and (allDegrees(options)$GOPT0 = false) and zero?(last resi)) => return "failed" -@ +\end{chunk} Then we check all the coefficients that should be valid. We want the zero solution only, if the function is really zero. Without this test, every sequence ending with zero is interpreted as the zero sequence, since the factor in front of the only non-vanishing term can cancel everything else. -<>= +\begin{chunk}{implementation: Guess - testInterpolant} nonZeroCoefficient: Integer := 0 for i in 1..#resi repeat @@ -43353,29 +43356,29 @@ else nonZeroCoefficient := 0 break -@ +\end{chunk} -We set [[nonZeroCoefficient]] to the only non zero coefficient or, if there are -several, it is $0$. It should not happen that all coefficients in [[resi]] +We set nonZeroCoefficient to the only non zero coefficient or, if there are +several, it is $0$. It should not happen that all coefficients in resi vanish. \begin{verbatim} - Check that not all coefficients in [[resi]] can vanish simultaneously. + Check that not all coefficients in resi can vanish simultaneously. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - testInterpolant} if not zero? nonZeroCoefficient then (freeOf?(exprList.nonZeroCoefficient, name op)) => return "failed" for e in list repeat if not zero? e then return "failed" -@ +\end{chunk} We first deal with the case that there is only one non-vanishing coefficient in -[[resi]]. If the only expression in [[exprList]] whose coefficient does not +resi. If the only expression in exprList whose coefficient does not vanish does not contain the name of the generating function, or if there is a -non-zero term in [[list]], we reject the proposed solution. +non-zero term in list, we reject the proposed solution. -<>= +\begin{chunk}{implementation: Guess - testInterpolant} else resiSUPF := map(SUPF2SUPSUPF SUPS2SUPF #1, resi) $ListFunctions2(SUP S, SUP SUP F) @@ -43391,21 +43394,21 @@ break iterate? => return "failed" -@ +\end{chunk} -Here we check for each degree [[d]] larger than [[guessDegree]] whether the +Here we check for each degree d larger than guessDegree whether the proposed linear combination vanishes. When the first coefficient that does not vanish contains the transcendental element we accept the linear combination as a solution. Finally, it seems that we have found a solution. Now we cancel the greatest common divisor of the equation. Note that this may take quite some time, it -seems to be quicker to check [[generalCoefficient]] with the original [[resi]]. +seems to be quicker to check generalCoefficient with the original resi. -If [[S]] is a [[Field]], the [[gcd]] will always be $1$. Thus, in this case we +If S is a Field, the gcd will always be $1$. Thus, in this case we make the result monic. -<>= +\begin{chunk}{implementation: Guess - testInterpolant} g: SUP S if S has Field then g := leadingCoefficient(find(not zero? #1, reverse resi)::SUP(S))::SUP(S) @@ -43446,31 +43449,31 @@ [res, ord]$Record(function: EXPRR, order: NNI) -@ +\end{chunk} \subsubsection{The main routine} The following is the main guessing routine, called by all others -- except -[[guessExpRat]]. +guessExpRat. -<>= +\begin{chunk}{implementation: Guess - guessHPaux} guessHPaux(list: List F, D: HPSPEC, options: LGOPT): GUESSRESULT == reslist: GUESSRESULT := [] listDegree := #list-1-safety(options)$GOPT0 if listDegree < 0 then return reslist -@ +\end{chunk} %$ \sloppypar We do as if we knew only the coefficients up to and including degree -[[listDegree-safety]]. Thus, if we have less elements of the sequence than -[[safety]], there remain no elements for guessing. Originally we demanded to +listDegree-safety. Thus, if we have less elements of the sequence than +safety, there remain no elements for guessing. Originally we demanded to have at least two elements for guessing. However, we want to be able to induce -from $[c,c]$ that the function equals $c$ with [[safety]] one. This is -important if we apply, for example, [[guessRat]] recursively. In this case, -[[listDegree]] equals zero. +from $[c,c]$ that the function equals $c$ with safety one. This is +important if we apply, for example, guessRat recursively. In this case, +listDegree equals zero. -<>= +\begin{chunk}{implementation: Guess - guessHPaux} a := functionName(options)$GOPT0 op := operator a x := variableName(options)$GOPT0 @@ -43478,43 +43481,43 @@ initials: List EXPRR := [coerce(e)@EXPRR for e in list] -@ +\end{chunk} %$ We need to create several streams. Let $P$ be the univariate power series whose -first few elements are given by [[list]]. As an example, consider the -differentiation setting. In this case, the elements of [[guessS]] consist of -$P$ differentiated and taken to some power. The elements of [[degreeS]] are -integers, that tell us how many terms less than in [[list]] are valid in the -corresponding element of [[guessS]]. The elements of [[testS]] are very similar -to those of [[guessS]], with the difference that they are derived from $P$ with +first few elements are given by list. As an example, consider the +differentiation setting. In this case, the elements of guessS consist of +$P$ differentiated and taken to some power. The elements of degreeS are +integers, that tell us how many terms less than in list are valid in the +corresponding element of guessS. The elements of testS are very similar +to those of guessS, with the difference that they are derived from $P$ with an transcendental element added, which corresponds to $O(x^d)$. Finally, the -elements of [[exprS]] contain representations of the transformations applied to +elements of exprS contain representations of the transformations applied to $P$ as expressions. \begin{verbatim} - I am not sure whether it is better to get rid of denominators in [[list]] - here or, as I currently do it, only in [[generalInterpolation$FFFG]]. %$ + I am not sure whether it is better to get rid of denominators in list + here or, as I currently do it, only in generalInterpolation$FFFG. %$ If we clear them at here, we cannot take advantage of factors that may appear only after differentiating or powering. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - guessHPaux} guessS := (D.guessStream)(list2UFPSF list) degreeS := D.degreeStream testS := (D.testStream)(list2UFPSSUPF list) exprS := (D.exprStream)(op(dummy::EXPRR)::EXPRR, dummy) -@ +\end{chunk} We call the number of terms of the linear combination its \emph{order}. We consider linear combinations of at least two terms, since otherwise the function would have to vanish identically\dots -When proceeding in the stream [[guessS]], it may happen that we loose valid +When proceeding in the stream guessS, it may happen that we loose valid terms. For example, when trying to find a linear ordinary differential equation, we are looking for a linear combination of $f, f^\prime, -f^{\prime\prime}, \dots$. Suppose [[listDegree]] equals $2$, i.e. we have +f^{\prime\prime}, \dots$. Suppose listDegree equals $2$, i.e. we have \begin{verbatim} f &= l_0 + l_1 x + l_2 x^2\\ f^\prime &= l_1 + 2l_2 x\\ @@ -43522,10 +43525,10 @@ \end{verbatim} Thus, each time we differentiate the series, we loose one term for guessing. Therefore, we cannot use the coefficient of $x^2$ of $f^{\prime\prime}$ for -generating a linear combination. [[guessDegree]] contains the degree up to -which all the generated series are correct, taking into account [[safety]]. +generating a linear combination. guessDegree contains the degree up to +which all the generated series are correct, taking into account safety. -<>= +\begin{chunk}{implementation: Guess - guessHPaux} iterate?: Boolean := false -- this is necessary because the compiler -- doesn't understand => "iterate" properly -- the latter just leaves the current block, it @@ -43538,22 +43541,22 @@ output(hconcat("Trying order ", o::OutputForm))$OutputPackage output(hconcat("guessDegree is ", guessDegree::OutputForm)) $OutputPackage -@ +\end{chunk} %$" We now have to distinguish between the case where we try all combination of degrees and the case where we try only an (nearly) evenly distributed vector of degrees. -In the first case, [[guessInterpolate2]] is going to look at all degree vectors -with [[o]] elements with total degree [[guessDegree+1]]. We give up as soon as -the order [[o]] is greater than the number of available terms plus one. In the -extreme case, i.e., when [[o=guessDegree+2]], we allow for example constant +In the first case, guessInterpolate2 is going to look at all degree vectors +with o elements with total degree guessDegree+1. We give up as soon as +the order o is greater than the number of available terms plus one. In the +extreme case, i.e., when o=guessDegree+2, we allow for example constant coefficients for all terms of the linear combination. It seems that it is a bit arbitrary at what point we stop, however, we would like to be consistent with the evenly distributed case. -<>= +\begin{chunk}{implementation: Guess - guessHPaux} if allDegrees(options)$GOPT0 then (o > guessDegree+2) => return reslist @@ -43561,37 +43564,37 @@ if maxEta = 0 then maxEta := guessDegree+1 else -@ +\end{chunk} In the second case, we first compute the number of parameters available for determining the coefficient polynomials. We have to take care of the fact, that HermitePade produces solutions with sum of degrees being one more than the sum -of elements in [[eta]]. +of elements in eta. -<>= +\begin{chunk}{implementation: Guess - guessHPaux} maxParams := divide(guessDegree::NNI+1, o) if debug(options)$GOPT0 then output(hconcat("maxParams: ", maxParams::OutputForm)) $OutputPackage -@ +\end{chunk} If we do not have enough parameters, we give up. We allow for at most one zero entry in the degree vector, because then there is one column that allows at least a constant term in each entry. -<>= +\begin{chunk}{implementation: Guess - guessHPaux} if maxParams.quotient = 0 and maxParams.remainder < o-1 then return reslist -@ +\end{chunk} -If [[maxDegree]] is set, we skip the first few partitions, unless we cannot +If maxDegree is set, we skip the first few partitions, unless we cannot increase the order anymore. \begin{verbatim} I have no satisfactory way to determine whether we can increase the order or not. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - guessHPaux} if ((maxDegree(options)$GOPT0 ~= -1) and (maxDegree(options)$GOPT0 < maxParams.quotient)) and not (empty? rest(guessS, o) or @@ -43614,24 +43617,24 @@ := [(if i <= maxParams.remainder _ then maxParams.quotient + 1 _ else maxParams.quotient)::NNI for i in 1..o] -@ +\end{chunk} We distribute the parameters as evenly as possible. Is it better to have higher degrees at the end or at the beginning? -It remains to prepare [[guessList]], which is the list of [[o]] power series -polynomials truncated after degree [[guessDegree]]. Then we can call +It remains to prepare guessList, which is the list of o power series +polynomials truncated after degree guessDegree. Then we can call HermitePade. \begin{verbatim} - [[maxDegree]] should be handled differently, maybe: we should only pass as - many coefficients to [[FFFG]] as [[maxDegree]] implies! That is, if we cannot - increase the order anymore, we should decrease [[guessDegree]] to % - $o\cdot [[maxDegree]] - 2$ and set [[eta]] accordingly. I might have to take - care of [[allDegrees]], too. + maxDegree should be handled differently, maybe: we should only pass as + many coefficients to FFFG as maxDegree implies! That is, if we cannot + increase the order anymore, we should decrease guessDegree to + $o\cdot maxDegree - 2$ and set eta accordingly. I might have to take + care of allDegrees, too. \end{verbatim} -<>= +\begin{chunk}{implementation: Guess - guessHPaux} if iterate? then iterate? := false @@ -43690,10 +43693,10 @@ reslist -@ +\end{chunk} \begin{verbatim} - The duplicated block at the end should really go into [[testInterpolant]], I + The duplicated block at the end should really go into testInterpolant, I guess. Furthermore, it would be better to remove duplicates already there. \end{verbatim} @@ -43704,7 +43707,7 @@ \paragraph{generating functions} -<>= +\begin{chunk}{implementation: Guess - guessHP} guessHP(D: LGOPT -> HPSPEC): GUESSER == guessHPaux(#1, D #2, #2) guessADE(list: List F, options: LGOPT): GUESSRESULT == @@ -43730,23 +43733,23 @@ guessADE(list, opts) guessPade(list: List F): GUESSRESULT == guessPade(list, []) -@ +\end{chunk} \paragraph{$q$-generating functions} -<>= +\begin{chunk}{implementation: Guess - guessHP} if F has RetractableTo Symbol and S has RetractableTo Symbol then guessADE(q: Symbol): GUESSER == opts: LGOPT := cons(displayAsGF(true)$GuessOption, #2) guessHPaux(#1, (diffHP q)(opts), opts) -@ +\end{chunk} %$ \paragraph{coefficients} -<>= +\begin{chunk}{implementation: Guess - guessHP} guessRec(list: List F, options: LGOPT): GUESSRESULT == opts: LGOPT := cons(displayAsGF(false)$GuessOption, options) guessHPaux(list, shiftHP opts, opts) @@ -43766,12 +43769,12 @@ guessRat(list: List F): GUESSRESULT == guessRat(list, []) -@ +\end{chunk} %$ \paragraph{$q$-coefficients} -<>= +\begin{chunk}{implementation: Guess - guessHP} if F has RetractableTo Symbol and S has RetractableTo Symbol then guessRec(q: Symbol): GUESSER == @@ -43790,10 +43793,10 @@ allDegrees(true)$GuessOption]) guessHPaux(#1, (shiftHP q)(opts), opts) -@ +\end{chunk} %$ -\subsection{[[guess]] -- applying operators recursively} +\subsection{guess -- applying operators recursively} The main observation made by Christian Krattenthaler in designing his program Rate is the following: it occurs frequently that although a sequence of @@ -43808,7 +43811,7 @@ \item[$Q_n$] the operator that transforms $f(n)$ into $f(n)/f(n-1)$. \end{description} -<>= +\begin{chunk}{implementation: Guess - guess} guess(list: List F, guessers: List GUESSER, ops: List Symbol, options: LGOPT): GUESSRESULT == maxLevel := maxLevel(options)$GOPT0 @@ -43893,13 +43896,13 @@ : GUESSRESULT == guess(list, guessers, ops, []) -@ -<>= +\end{chunk} +\begin{chunk}{GUESS.dotabb} "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "RECOP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RECOP"] "GUESS" -> "RECOP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESSAN GuessAlgebraicNumber} \pagehead{GuessAlgebraicNumber}{GUESSAN} @@ -43922,7 +43925,7 @@ \cross{GUESSAN}{shiftHP} && \end{tabular} -<>= +\begin{chunk}{package GUESSAN GuessAlgebraicNumber} )abbrev package GUESSAN GuessAlgebraicNumber ++ Description: ++ This package exports guessing of sequences of rational functions @@ -43933,13 +43936,13 @@ id$MappingPackage1(AlgebraicNumber), coerce$Expression(Integer)) -@ -<>= +\end{chunk} +\begin{chunk}{GUESSAN.dotabb} "GUESSAN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESSAN"] "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "GUESSAN" -> "GUESS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESSF GuessFinite} \pagehead{GuessFinite}{GUESSF} @@ -43962,7 +43965,7 @@ \cross{GUESSF}{shiftHP} && \end{tabular} -<>= +\begin{chunk}{package GUESSF GuessFinite} )abbrev package GUESSF GuessFinite ++ Description: ++ This package exports guessing of sequences of numbers in a finite field @@ -43971,13 +43974,13 @@ Guess(F, F, Expression Integer, Integer, coerce$F, F2EXPRR$GuessFiniteFunctions(F)) -@ -<>= +\end{chunk} +\begin{chunk}{GUESSF.dotabb} "GUESSF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESSF"] "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "GUESSF1" -> "GUESS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESSF1 GuessFiniteFunctions} \pagehead{GuessFiniteFunctions}{GUESSF1} @@ -43986,7 +43989,7 @@ {\bf Exports:}\\ \cross{GUESSF1}{F2EXPRR} -<>= +\begin{chunk}{package GUESSF1 GuessFiniteFunctions} )abbrev package GUESSF1 GuessFiniteFunctions ++ Description: ++ This package exports guessing of sequences of numbers in a finite field @@ -44004,13 +44007,13 @@ F2EXPRR(p: F): EXPRR == convert(p)@Integer::EXPRR -@ -<>= +\end{chunk} +\begin{chunk}{GUESSF1.dotabb} "GUESSF1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESSF1"] "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "GUESSF1" -> "GUESS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESSINT GuessInteger} \pagehead{GuessInteger}{GUESSINT} @@ -44033,7 +44036,7 @@ \cross{GUESSINT}{shiftHP} && \end{tabular} -<>= +\begin{chunk}{package GUESSINT GuessInteger} -- concerning algebraic functions, it may make sense to look at A.J.van der -- Poorten, Power Series Representing Algebraic Functions, Section 6. )abbrev package GUESSINT GuessInteger @@ -44045,13 +44048,13 @@ id$MappingPackage1(Fraction Integer), coerce$Expression(Integer)) -@ -<>= +\end{chunk} +\begin{chunk}{GUESSINT.dotabb} "GUESSINT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESSINT"] "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "GUESSINT" -> "GUESS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESSP GuessPolynomial} \pagehead{GuessPolynomial}{GUESSP} @@ -44074,7 +44077,7 @@ \cross{GUESSP}{shiftHP} && \end{tabular} -<>= +\begin{chunk}{package GUESSP GuessPolynomial} )abbrev package GUESSP GuessPolynomial ++ Description: ++ This package exports guessing of sequences of rational functions @@ -44085,13 +44088,13 @@ id$MappingPackage1(Fraction Polynomial Integer), coerce$Expression(Integer)) -@ -<>= +\end{chunk} +\begin{chunk}{GUESSP.dotabb} "GUESSP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESSP"] "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "GUESSP" -> "GUESS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package GUESSUP GuessUnivariatePolynomial} \pagehead{GuessUnivariatePolynomial}{GUESSUP} @@ -44114,7 +44117,7 @@ \cross{GUESSUP}{shiftHP} && \end{tabular} -<>= +\begin{chunk}{package GUESSUP GuessUnivariatePolynomial} )abbrev package GUESSUP GuessUnivariatePolynomial ++ Description: ++ This package exports guessing of sequences of univariate rational functions @@ -44330,13 +44333,13 @@ Fraction UP, id$MappingPackage1(Fraction UP), coerce$MyExpression(q, Integer)) -@ -<>= +\end{chunk} +\begin{chunk}{GUESSUP.dotabb} "GUESSUP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESSUP"] "GUESS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=GUESS"] "GUESSUP" -> "GUESS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter H} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -44351,7 +44354,7 @@ \cross{HB}{lfunc} \end{tabular} -<>= +\begin{chunk}{package HB HallBasis} )abbrev package HB HallBasis ++ Author : Larry Lambe ++ Date Created : August 1988 @@ -44443,13 +44446,13 @@ numComms := newNumComms v -@ -<>= +\end{chunk} +\begin{chunk}{HB.dotabb} "HB" [color="#FF4488",href="bookvol10.4.pdf#nameddest=HB"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "HB" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package HEUGCD HeuGcd} \pagehead{HeuGcd}{HEUGCD} @@ -44465,7 +44468,7 @@ \cross{HEUGCD}{lintgcd} \end{tabular} -<>= +\begin{chunk}{package HEUGCD HeuGcd} )abbrev package HEUGCD HeuGcd ++ Author: P.Gianni ++ Date Created: @@ -44686,13 +44689,13 @@ --gcd and cofactors for n generic univariate polynomials. gcdcofact (listf:List BP ):List BP == internal("gcdcofact",listf) -@ -<>= +\end{chunk} +\begin{chunk}{HEUGCD.dotabb} "HEUGCD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=HEUGCD"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "HEUGCD" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter I} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -44710,7 +44713,7 @@ \cross{IDECOMP}{zeroDimPrime?} \end{tabular} -<>= +\begin{chunk}{package IDECOMP IdealDecompositionPackage} )abbrev package IDECOMP IdealDecompositionPackage ++ Author: P. Gianni ++ Date Created: summer 1986 @@ -45096,15 +45099,15 @@ fullPol :=[monomial(1,vv,1)$DPoly1 for vv in fullVars] groebnerIdeal([eval(gg,newVars,fullPol) for gg in J]) -@ -<>= +\end{chunk} +\begin{chunk}{IDECOMP.dotabb} "IDECOMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IDECOMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "IDECOMP" -> "PFECAT" "IDECOMP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INCRMAPS IncrementingMaps} \pagehead{IncrementingMaps}{INCRMAPS} @@ -45116,7 +45119,7 @@ \cross{INCRMAPS}{incrementBy} \end{tabular} -<>= +\begin{chunk}{package INCRMAPS IncrementingMaps} )abbrev package INCRMAPS IncrementingMaps ++ Author: ++ Date Created: @@ -45144,13 +45147,13 @@ increment() == x +-> 1 + x incrementBy n == x +-> n + x -@ -<>= +\end{chunk} +\begin{chunk}{INCRMAPS.dotabb} "INCRMAPS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INCRMAPS"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "INCRMAPS" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INFPROD0 InfiniteProductCharacteristicZero} \pagehead{InfiniteProductCharacteristicZero}{INFPROD0} @@ -45164,7 +45167,7 @@ \cross{INFPROD0}{generalInfiniteProduct} \end{tabular} -<>= +\begin{chunk}{package INFPROD0 InfiniteProductCharacteristicZero} )abbrev package INFPROD0 InfiniteProductCharacteristicZero ++ Author: Clifton J. Williamson ++ Date Created: 22 February 1990 @@ -45214,13 +45217,13 @@ generalInfiniteProduct(x,a,d) == series generalInfiniteProduct(coefficients x,a,d) -@ -<>= +\end{chunk} +\begin{chunk}{INFPROD0.dotabb} "INFPROD0" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INFPROD0"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "INFPROD0" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INPRODFF InfiniteProductFiniteField} \pagehead{InfiniteProductFiniteField}{INPRODFF} @@ -45234,7 +45237,7 @@ \cross{INPRODFF}{oddInfiniteProduct} \end{tabular} -<>= +\begin{chunk}{package INPRODFF InfiniteProductFiniteField} )abbrev package INPRODFF InfiniteProductFiniteField ++ Author: Clifton J. Williamson ++ Date Created: 22 February 1990 @@ -45344,13 +45347,13 @@ stUP := map(reducePoly,stSUP)$ST2(SUP RN,UP) series map(reduce,stUP)$ST2(UP,Coef) -@ -<>= +\end{chunk} +\begin{chunk}{INPRODFF.dotabb} "INPRODFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INPRODFF"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "INPRODFF" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INPRODPF InfiniteProductPrimeField} \pagehead{InfiniteProductPrimeField}{INPRODPF} @@ -45364,7 +45367,7 @@ \cross{INPRODPF}{oddInfiniteProduct} \end{tabular} -<>= +\begin{chunk}{package INPRODPF InfiniteProductPrimeField} )abbrev package INPRODPF InfiniteProductPrimeField ++ Author: Clifton J. Williamson ++ Date Created: 22 February 1990 @@ -45423,13 +45426,13 @@ applyOverZ( (z1:ST(I)):ST(I) +-> generalInfiniteProduct(z1,a,d),coefficients x) -@ -<>= +\end{chunk} +\begin{chunk}{INPRODPF.dotabb} "INPRODPF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INPRODPF"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "INPRODPF" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ITFUN2 InfiniteTupleFunctions2} \pagehead{InfiniteTupleFunctions2}{ITFUN2} @@ -45438,7 +45441,7 @@ {\bf Exports:}\\ \cross{ITFUN2}{map} -<>= +\begin{chunk}{package ITFUN2 InfiniteTupleFunctions2} )abbrev package ITFUN2 InfiniteTupleFunctions2 ++ Description: ++ Functions defined on streams with entries in two sets. @@ -45455,13 +45458,13 @@ map(f,x) == map(f,x pretend Stream(A))$StreamFunctions2(A,B) pretend IT(B) -@ -<>= +\end{chunk} +\begin{chunk}{ITFUN2.dotabb} "ITFUN2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ITFUN2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "ITFUN2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ITFUN3 InfiniteTupleFunctions3} \pagehead{InfiniteTupleFunctions3}{ITFUN3} @@ -45470,7 +45473,7 @@ {\bf Exports:}\\ \cross{ITFUN3}{map} -<>= +\begin{chunk}{package ITFUN3 InfiniteTupleFunctions3} )abbrev package ITFUN3 InfiniteTupleFunctions3 ++ Description: ++ Functions defined on streams with entries in two sets. @@ -45498,13 +45501,13 @@ map(f:FUN, s1:IT A, s2:ST B):ST C == map(f, s1 pretend Stream(A), s2)$SF3 -@ -<>= +\end{chunk} +\begin{chunk}{ITFUN3.dotabb} "ITFUN3" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ITFUN3"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "ITFUN3" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INFINITY Infinity} \pagehead{Infinity}{INFINITY} @@ -45517,7 +45520,7 @@ \cross{INFINITY}{plusInfinity} \end{tabular} -<>= +\begin{chunk}{package INFINITY Infinity} )abbrev package INFINITY Infinity ++ Author: Manuel Bronstein ++ Date Created: 4 Oct 1989 @@ -45538,15 +45541,15 @@ plusInfinity() == plusInfinity()$OrderedCompletion(Integer) minusInfinity() == minusInfinity()$OrderedCompletion(Integer) -@ -<>= +\end{chunk} +\begin{chunk}{INFINITY.dotabb} "INFINITY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INFINITY"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "INFINITY" -> "PID" "INFINITY" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IALGFACT InnerAlgFactor} \pagehead{InnerAlgFactor}{IALGFACT} @@ -45555,7 +45558,7 @@ {\bf Exports:}\\ \cross{IALGFACT}{factor} -<>= +\begin{chunk}{package IALGFACT InnerAlgFactor} )abbrev package IALGFACT InnerAlgFactor ++ Author: Patrizia Gianni ++ Date Created: ??? @@ -45642,13 +45645,13 @@ swap(map(lift, q)$UPCF2(AlExt, AlPol, UP, NUP))$CommuteUnivariatePolynomialCategory(F, UP, NUP) -@ -<>= +\end{chunk} +\begin{chunk}{IALGFACT.dotabb} "IALGFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IALGFACT"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "IALGFACT" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ICDEN InnerCommonDenominator} \pagehead{InnerCommonDenominator}{ICDEN} @@ -45661,7 +45664,7 @@ \cross{ICDEN}{splitDenominator} \end{tabular} -<>= +\begin{chunk}{package ICDEN InnerCommonDenominator} )abbrev package ICDEN InnerCommonDenominator ++ Author: Manuel Bronstein ++ Date Created: 2 May 1988 @@ -45706,13 +45709,13 @@ else commonDenominator l == reduce("*", map(denom, l), 1) -@ -<>= +\end{chunk} +\begin{chunk}{ICDEN.dotabb} "ICDEN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ICDEN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ICDEN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IMATLIN InnerMatrixLinearAlgebraFunctions} \pagehead{InnerMatrixLinearAlgebraFunctions}{IMATLIN} @@ -45722,7 +45725,7 @@ \begin{tabular}{lllll} \end{tabular} -<>= +\begin{chunk}{package IMATLIN InnerMatrixLinearAlgebraFunctions} )abbrev package IMATLIN InnerMatrixLinearAlgebraFunctions ++ Author: Clifton J. Williamson, P.Gianni ++ Date Created: 13 November 1989 @@ -45945,13 +45948,13 @@ elt(AB,kmax,lmax) = 0 => "failed" subMatrix(AB,kmin,kmax,lmin + ndim,lmax + ndim) -@ -<>= +\end{chunk} +\begin{chunk}{IMATLIN.dotabb} "IMATLIN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IMATLIN"] "PFECAT" -> "IVECTOR" "IMATLIN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IMATQF InnerMatrixQuotientFieldFunctions} \pagehead{InnerMatrixQuotientFieldFunctions}{IMATQF} @@ -45964,7 +45967,7 @@ \cross{IMATQF}{nullSpace} \end{tabular} -<>= +\begin{chunk}{package IMATQF InnerMatrixQuotientFieldFunctions} )abbrev package IMATQF InnerMatrixQuotientFieldFunctions ++ Author: Clifton J. Williamson ++ Date Created: 22 November 1989 @@ -46023,13 +46026,13 @@ nullSpace m == [clearDenominator(v)$CDEN for v in nullSpace(qfMat m)$IMATLIN] -@ -<>= +\end{chunk} +\begin{chunk}{IMATQF.dotabb} "IMATQF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IMATQF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "IMATQF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INMODGCD InnerModularGcd} \pagehead{InnerModularGcd}{INMODGCD} @@ -46042,7 +46045,7 @@ \cross{INMODGCD}{reduction} \end{tabular} -<>= +\begin{chunk}{package INMODGCD InnerModularGcd} )abbrev package INMODGCD InnerModularGcd ++ Author: J.H. Davenport and P. Gianni ++ Date Created: July 1990 @@ -46251,7 +46254,7 @@ hg:=height g 2*min(hf,hg) -@ +\end{chunk} \begin{verbatim} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FOMOGCD ForModularGcd} @@ -46304,12 +46307,12 @@ -- nextMod$ForTwoGcd(F)) \end{verbatim} -<>= +\begin{chunk}{INMODGCD.dotabb} "INMODGCD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INMODGCD"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INMODGCD" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INNMFACT InnerMultFact} \pagehead{InnerMultFact}{INNMFACT} @@ -46318,7 +46321,7 @@ {\bf Exports:}\\ \cross{INNMFACT}{factor} -<>= +\begin{chunk}{package INNMFACT InnerMultFact} )abbrev package INNMFACT InnerMultFact ++ Author: P. Gianni ++ Date Created: 1983 @@ -46753,13 +46756,13 @@ (flist.contp):: P * (*/[primeFactor(u.irr,u.pow) for u in flist.factors]) -@ -<>= +\end{chunk} +\begin{chunk}{INNMFACT.dotabb} "INNMFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INNMFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INNMFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INBFF InnerNormalBasisFieldFunctions} \pagehead{InnerNormalBasisFieldFunctions}{INBFF} @@ -46789,7 +46792,7 @@ \cross{INBFF}{?/?} \end{tabular} -<>= +\begin{chunk}{package INBFF InnerNormalBasisFieldFunctions} )abbrev package INBFF InnerNormalBasisFieldFunctions ++ Authors: J.Grabmeier, A.Scheerhorn ++ Date Created: 26.03.1991 @@ -47140,13 +47143,13 @@ pol(x) == +/[monomial(x.i,(i-1)::NNI)$(SUP GF) for i in 1..(#x)::I] -@ -<>= +\end{chunk} +\begin{chunk}{INBFF.dotabb} "INBFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INBFF"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "INBFF" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INEP InnerNumericEigenPackage} \pagehead{InnerNumericEigenPackage}{INEP} @@ -47159,7 +47162,7 @@ \cross{INEP}{solve1} \end{tabular} -<>= +\begin{chunk}{package INEP InnerNumericEigenPackage} )abbrev package INEP InnerNumericEigenPackage ++ Author:P. Gianni ++ Date Created: Summer 1990 @@ -47357,13 +47360,13 @@ determinant B -@ -<>= +\end{chunk} +\begin{chunk}{INEP.dotabb} "INEP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INEP"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "INEP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INFSP InnerNumericFloatSolvePackage} \pagehead{InnerNumericFloatSolvePackage}{INFSP} @@ -47376,7 +47379,7 @@ \cross{INFSP}{makeEq} \end{tabular} -<>= +\begin{chunk}{package INFSP InnerNumericFloatSolvePackage} )abbrev package INFSP InnerNumericFloatSolvePackage ++ Author: P. Gianni ++ Date Created: January 1990 @@ -47569,13 +47572,13 @@ result:= append([oldCoord(r,lval) for r in lris],result) result -@ -<>= +\end{chunk} +\begin{chunk}{INFSP.dotabb} "INFSP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INFSP"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "INFSP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INPSIGN InnerPolySign} \pagehead{InnerPolySign}{INPSIGN} @@ -47584,7 +47587,7 @@ {\bf Exports:}\\ \cross{INPSIGN}{signAround} -<>= +\begin{chunk}{package INPSIGN InnerPolySign} )abbrev package INPSIGN InnerPolySign ++ Author: Manuel Bronstein ++ Date Created: 23 Aug 1989 @@ -47627,13 +47630,13 @@ (dir > 0) or (even? degree p) => u::Integer - (u::Integer) -@ -<>= +\end{chunk} +\begin{chunk}{INPSIGN.dotabb} "INPSIGN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INPSIGN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INPSIGN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ISUMP InnerPolySum} \pagehead{InnerPolySum}{ISUMP} @@ -47642,7 +47645,7 @@ {\bf Exports:}\\ \cross{ISUMP}{sum} -<>= +\begin{chunk}{package ISUMP InnerPolySum} )abbrev package ISUMP InnerPolySum ++ Author: SMW ++ Date Created: ??? @@ -47698,13 +47701,13 @@ vp := +/[(d exquo di)::Z * pi for di in ld for pi in lp] [multivariate(vp, v), d] -@ -<>= +\end{chunk} +\begin{chunk}{ISUMP.dotabb} "ISUMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ISUMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ISUMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ITRIGMNP InnerTrigonometricManipulations} \pagehead{InnerTrigonometricManipulations}{ITRIGMNP} @@ -47719,7 +47722,7 @@ \cross{ITRIGMNP}{trigs2explogs} \end{tabular} -<>= +\begin{chunk}{package ITRIGMNP InnerTrigonometricManipulations} )abbrev package ITRIGMNP InnerTrigonometricManipulations ++ Author: Manuel Bronstein ++ Date Created: 4 April 1988 @@ -47883,15 +47886,15 @@ map(x +-> ker2explogs(x, l, lx), y +-> y::FG, p)_ $PolynomialCategoryLifting(IndexedExponents KG, KG, GR, PG, FG) -@ -<>= +\end{chunk} +\begin{chunk}{ITRIGMNP.dotabb} "ITRIGMNP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ITRIGMNP"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "ITRIGMNP" -> "FS" "ITRIGMNP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INFORM1 InputFormFunctions1} \pagehead{InputFormFunctions1}{INFORM1} @@ -47903,7 +47906,7 @@ \cross{INFORM1}{packageCall} \end{tabular} -<>= +\begin{chunk}{package INFORM1 InputFormFunctions1} )abbrev package INFORM1 InputFormFunctions1 --)boot $noSubsumption := false @@ -47930,16 +47933,16 @@ retract(interpret(convert([convert("@"::Symbol), form, Rname]$List(InputForm))@InputForm)$InputForm)$AnyFunctions1(R) -@ -<>= +\end{chunk} +\begin{chunk}{INFORM1.dotabb} "INFORM1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INFORM1"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "INFORM1" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTERGB InterfaceGroebnerPackage} -<>= +\begin{chunk}{InterfaceGroebnerPackage.input} )set break resume )sys rm -f InterfaceGroebnerPackage.output )spool InterfaceGroebnerPackage.output @@ -47960,8 +47963,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InterfaceGroebnerPackage.help} ==================================================================== InterfaceGroebnerPackage examples ==================================================================== @@ -47969,14 +47972,14 @@ See Also: o )show InterfaceGroebnerPackage -@ +\end{chunk} \pagehead{InterfaceGroebnerPackage}{INTERGB} \pagepic{ps/v104interfacegroebnerpackage.ps}{INTERGB}{1.00} {\bf Exports:}\\ \cross{INTERGB}{groebner} -<>= +\begin{chunk}{package INTERGB InterfaceGroebnerPackage} )abbrev package INTERGB InterfaceGroebnerPackage ++ Author: Gaetan Hache ++ Date Created: September 1996 @@ -48043,13 +48046,13 @@ gg:=groebner(ldmp)$GBPack [coerceDtoR(pol) for pol in gg] -@ -<>= +\end{chunk} +\begin{chunk}{INTERGB.dotabb} "INTERGB" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTERGB"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INTERGB" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTBIT IntegerBits} Bug! Cannot precompute params and return a function which @@ -48068,7 +48071,7 @@ \cross{INTBIT}{bitTruth} \end{tabular} -<>= +\begin{chunk}{package INTBIT IntegerBits} )abbrev package INTBIT IntegerBits ++ Description: ++ This package provides functions to lookup bits in integers @@ -48090,16 +48093,16 @@ bitCoef (n,i) == if INTEGER_-BIT(n,i)$Lisp then 1 else 0 bitTruth(n,i) == INTEGER_-BIT(n,i)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{INTBIT.dotabb} "INTBIT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTBIT"] "Package" [color="#FF4488"] "INTBIT" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package COMBINAT IntegerCombinatoricFunctions} -<>= +\begin{chunk}{IntegerCombinatoricFunctions.input} )set break resume )sys rm -f IntegerCombinatoricFunctions.output )spool IntegerCombinatoricFunctions.output @@ -48143,8 +48146,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegerCombinatoricFunctions.help} ==================================================================== IntegerCombinatoricFunctions examples ==================================================================== @@ -48199,7 +48202,7 @@ o )show OutputForm o )help set -@ +\end{chunk} \pagehead{IntegerCombinatoricFunctions}{COMBINAT} \pagepic{ps/v104integercombinatoricfunctions.ps}{COMBINAT}{1.00} @@ -48214,7 +48217,7 @@ \cross{COMBINAT}{stirling2} &&& \end{tabular} -<>= +\begin{chunk}{package COMBINAT IntegerCombinatoricFunctions} )abbrev package COMBINAT IntegerCombinatoricFunctions ++ Authors: Martin Brock, Robert Sutor, Michael Monagan ++ Date Created: June 1987 @@ -48364,13 +48367,13 @@ t := t + s * binomial(m, k::I) * k::I ** (convert(n)@Z :: N) t quo factorial m -@ -<>= +\end{chunk} +\begin{chunk}{COMBINAT.dotabb} "COMBINAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=COMBINAT"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "COMBINAT" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTFACT IntegerFactorizationPackage} \pagehead{IntegerFactorizationPackage}{INTFACT} @@ -48384,7 +48387,7 @@ \cross{INTFACT}{PollardSmallFactor} \end{tabular} -<>= +\begin{chunk}{package INTFACT IntegerFactorizationPackage} )abbrev package INTFACT IntegerFactorizationPackage ++ Description: ++ This Package contains basic methods for integer factorization. @@ -48421,9 +48424,9 @@ BasicSieve: (I, I) -> FF -@ +\end{chunk} \subsection{squareFree} -<>= +\begin{chunk}{package INTFACT IntegerFactorizationPackage} squareFree(n:I):FF == u:I if n<0 then (m := -n; u := -1) @@ -48444,7 +48447,7 @@ concat_!(factorList x, ["sqfr",m,1]$FFE) makeFR(u, y) -@ +\end{chunk} \subsection{PollardSmallFactor} This is Brent's\cite{1} optimization of Pollard's\cite{2} rho factoring. Brent's algorithm is about 24 percent faster than Pollard's. Pollard;s @@ -48545,7 +48548,7 @@ to generate the numbers has a long, hopefully complete, period. It is not clear that the recommended function has that property. -<>= +\begin{chunk}{package INTFACT IntegerFactorizationPackage} PollardSmallFactor(n:I):Union(I,"failed") == -- Use the Brent variation x0 := random()$I @@ -48574,7 +48577,7 @@ G=n => "failed" G -@ +\end{chunk} \subsection{BasicSieve} We create a list of prime numbers up to the limit given. The prior code used a circular list but tests of that list show that on average more @@ -48607,7 +48610,7 @@ Basically we just loop thru the prime factors checking to see if they are a component of the number, n. If so, we remove the factor from the number n (possibly m times) and continue thru the list of primes. -<>= +\begin{chunk}{package INTFACT IntegerFactorizationPackage} BasicSieve(n, lim) == p:=primes(1::I,lim::I)$IntegerPrimesPackage(I) l:List(I) := append([first p],reverse rest p) @@ -48620,9 +48623,9 @@ if m>0 then ls := concat_!(ls, ["prime",d,convert m]$FFE) makeFR(n,ls) -@ +\end{chunk} \subsection{BasicMethod} -<>= +\begin{chunk}{package INTFACT IntegerFactorizationPackage} BasicMethod n == u:I if n<0 then (m := -n; u := -1) @@ -48630,7 +48633,7 @@ x := BasicSieve(m, 1 + approxSqrt m) makeFR(u, factorList x) -@ +\end{chunk} \subsection{factor} The factor function is many orders of magnitude slower than the results of other systems. A posting on sci.math.symbolic showed that NTL could @@ -48661,7 +48664,7 @@ t6:=t5*a7 factor t6 \end{verbatim} -<>= +\begin{chunk}{package INTFACT IntegerFactorizationPackage} factor m == u:I zero? m => 0 @@ -48702,16 +48705,16 @@ flb := concat_!(flb, ["nil",n,convert c]$FFE) makeFR(u, flb) -@ -<>= +\end{chunk} +\begin{chunk}{INTFACT.dotabb} "INTFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTFACT"] "MDAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MDAGG"] "INTFACT" -> "MDAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ZLINDEP IntegerLinearDependence} -<>= +\begin{chunk}{IntegerLinearDependence.input} )set break resume )spool IntegerLinearDependence.output )set message test on @@ -48793,8 +48796,8 @@ --E 8 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegerLinearDependence.help} ==================================================================== IntegerLinearDependence examples ==================================================================== @@ -48871,7 +48874,7 @@ See Also: o )show IntegerLinearDependence -@ +\end{chunk} \pagehead{IntegerLinearDependence}{ZLINDEP} \pagepic{ps/v104integerlineardependence.ps}{ZLINDEP}{1.00} @@ -48882,7 +48885,7 @@ \cross{ZLINDEP}{solveLinearlyOverQ} \end{tabular} -<>= +\begin{chunk}{package ZLINDEP IntegerLinearDependence} )abbrev package ZLINDEP IntegerLinearDependence ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -48917,18 +48920,18 @@ linearDependenceOverZ v == linearDependence v solveLinearlyOverQ(v, c) == solveLinear(v, c) -@ -<>= +\end{chunk} +\begin{chunk}{ZLINDEP.dotabb} "ZLINDEP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ZLINDEP"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "ZLINDEP" -> "PID" "ZLINDEP" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTHEORY IntegerNumberTheoryFunctions} -<>= +\begin{chunk}{IntegerNumberTheoryFunctions.input} )set break resume )spool IntegerNumberTheoryFunctions.output )set message test on @@ -49189,8 +49192,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntegerNumberTheoryFunctions.help} ==================================================================== IntegerNumberTheoryFunctions examples ==================================================================== @@ -49585,7 +49588,7 @@ See Also: o )show IntegerNumberTheoryFunctions -@ +\end{chunk} \pagehead{IntegerNumberTheoryFunctions}{INTHEORY} \pagepic{ps/v104integernumbertheoryfunctions.ps}{INTHEORY}{1.00} @@ -49606,7 +49609,7 @@ \cross{INTHEORY}{sumOfKthPowerDivisors} & \end{tabular} -<>= +\begin{chunk}{package INTHEORY IntegerNumberTheoryFunctions} )abbrev package INTHEORY IntegerNumberTheoryFunctions ++ Author: Michael Monagan, Martin Brock, Robert Sutor, Timothy Daly ++ Date Created: June 1987 @@ -49855,13 +49858,13 @@ odd? numberOfFactors t => -1 1 -@ -<>= +\end{chunk} +\begin{chunk}{INTHEORY.dotabb} "INTHEORY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTHEORY"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "INTHEORY" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PRIMES IntegerPrimesPackage} We've expanded the list of small primes to include those between 1 and 10000. @@ -49876,7 +49879,7 @@ \cross{PRIMES}{primes} \end{tabular} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} )abbrev package PRIMES IntegerPrimesPackage ++ Author: Michael Monagan ++ Date Created: August 1987 @@ -49926,7 +49929,7 @@ ++ \spad{primes(a,b)} returns a list of all primes p with ++ \spad{a <= p <= b} == add -@ +\end{chunk} \subsection{smallPrimes} This is a table of all of the primes in [2..10000]. It is used by the prime? function to check for primality. It is used by the primes function @@ -49935,7 +49938,7 @@ There is a constant in the function squareFree from IntegerFactorizationPackage that is the square of the upper bound of the table range, in this case 10000000. -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} smallPrimes: List I := [2::I, 3::I, 5::I, 7::I, 11::I, 13::I, 17::I, 19::I,_ 23::I, 29::I, 31::I, 37::I, 41::I, 43::I, 47::I, 53::I,_ @@ -50162,9 +50165,9 @@ count2Order:Vector NonNegativeInteger := new(1,0) -- used to check whether we observe an element of maximal two-order -@ +\end{chunk} \subsection{primes} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} primes(m, n) == -- computes primes from m to n inclusive using prime? l:List(I) := @@ -50180,9 +50183,9 @@ rabinProvesCompositeSmall : (I,I,I,I,NonNegativeInteger) -> Boolean -@ +\end{chunk} \subsection{rabinProvesCompositeSmall} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} rabinProvesCompositeSmall(p,n,nm1,q,k) == -- probability n prime is > 3/4 for each iteration -- for most n this probability is much greater than 3/4 @@ -50199,9 +50202,9 @@ not (t = nm1) => return true false -@ +\end{chunk} \subsection{rabinProvesComposite} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} rabinProvesComposite(p,n,nm1,q,k) == -- probability n prime is > 3/4 for each iteration -- for most n this probability is much greater than 3/4 @@ -50222,9 +50225,9 @@ # rootsMinus1 > 2 => true -- Z/nZ can't be a field false -@ +\end{chunk} \subsection{prime?} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} prime? n == n < two => false n < nextSmallPrime => member?(n, smallPrimes) @@ -50279,9 +50282,9 @@ rabinProvesComposite(currPrime,n,nm1,q,k) => return false true -@ +\end{chunk} \subsection{nextPrime} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} nextPrime n == -- computes the first prime after n n < two => two @@ -50289,9 +50292,9 @@ while not prime? n repeat n := n + two n -@ +\end{chunk} \subsection{prevPrime} -<>= +\begin{chunk}{package PRIMES IntegerPrimesPackage} prevPrime n == -- computes the first prime before n n < 3::I => error "no primes less than 2" @@ -50300,13 +50303,13 @@ while not prime? n repeat n := n - two n -@ -<>= +\end{chunk} +\begin{chunk}{PRIMES.dotabb} "PRIMES" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PRIMES"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "PRIMES" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTRET IntegerRetractions} \pagehead{IntegerRetractions}{INTRET} @@ -50319,7 +50322,7 @@ \cross{INTRET}{integerIfCan} \end{tabular} -<>= +\begin{chunk}{package INTRET IntegerRetractions} )abbrev package INTRET IntegerRetractions ++ Author: Manuel Bronstein ++ Date Created: March 1990 @@ -50341,13 +50344,13 @@ integer? s == retractIfCan(s) case Integer integerIfCan s == retractIfCan s -@ -<>= +\end{chunk} +\begin{chunk}{INTRET.dotabb} "INTRET" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTRET"] "RETRACT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RETRACT"] "INTRET" -> "RETRACT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IROOT IntegerRoots} \pagehead{IntegerRoots}{IROOT} @@ -50363,7 +50366,7 @@ \cross{IROOT}{perfectSquare?} \end{tabular} -<>= +\begin{chunk}{package IROOT IntegerRoots} )abbrev package IROOT IntegerRoots ++ Author: Michael Monagan ++ Date Created: November 1987 @@ -50416,19 +50419,19 @@ 52::I,64::I,73::I,81::I,97::I,100::I,112::I,121::I] two := 2::I -@ +\end{chunk} \subsection{perfectSquare?} -<>= +\begin{chunk}{package IROOT IntegerRoots} perfectSquare? a == (perfectSqrt a) case I -@ +\end{chunk} \subsection{perfectNthPower?} -<>= +\begin{chunk}{package IROOT IntegerRoots} perfectNthPower?(b, n) == perfectNthRoot(b, n) case I -@ +\end{chunk} \subsection{perfectNthRoot} -<>= +\begin{chunk}{package IROOT IntegerRoots} perfectNthRoot n == -- complexity (log log n)**2 (log n)**2 m:NNI (n = 1) or zero? n or n = -1 => [n, 1] @@ -50441,9 +50444,9 @@ p := convert(nextPrime(p::I))@Integer :: NNI [n, e] -@ +\end{chunk} \subsection{approxNthRoot} -<>= +\begin{chunk}{package IROOT IntegerRoots} approxNthRoot(a, n) == -- complexity (log log n) (log n)**2 zero? n => error "invalid arguments" (n = 1) => a @@ -50466,24 +50469,24 @@ z := x-y x -@ +\end{chunk} \subsection{perfectNthRoot} -<>= +\begin{chunk}{package IROOT IntegerRoots} perfectNthRoot(b, n) == (r := approxNthRoot(b, n)) ** n = b => r "failed" -@ +\end{chunk} \subsection{perfectSqrt} -<>= +\begin{chunk}{package IROOT IntegerRoots} perfectSqrt a == a < 0 or not member?(a rem (144::I), resMod144) => "failed" (s := approxSqrt a) * s = a => s "failed" -@ +\end{chunk} \subsection{approxSqrt} -<>= +\begin{chunk}{package IROOT IntegerRoots} approxSqrt a == a < 1 => 0 if (n := length a) > (100::I) then @@ -50498,13 +50501,13 @@ (new, old) := ((1 + new + a quo new) quo two, new) new -@ -<>= +\end{chunk} +\begin{chunk}{IROOT.dotabb} "IROOT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IROOT"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "IROOT" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTSLPE IntegerSolveLinearPolynomialEquation} \pagehead{IntegerSolveLinearPolynomialEquation}{INTSLPE} @@ -50513,7 +50516,7 @@ {\bf Exports:}\\ \cross{INTSLPE}{solveLinearPolynomialEquation} -<>= +\begin{chunk}{package INTSLPE IntegerSolveLinearPolynomialEquation} )abbrev package INTSLPE IntegerSolveLinearPolynomialEquation ++ Author: Davenport ++ Date Created: 1991 @@ -50560,13 +50563,13 @@ answer:=solveid(p,slpePrime,oldtable) answer -@ -<>= +\end{chunk} +\begin{chunk}{INTSLPE.dotabb} "INTSLPE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTSLPE"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INTSLPE" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IBATOOL IntegralBasisTools} \pagehead{IntegralBasisTools}{IBATOOL} @@ -50583,7 +50586,7 @@ \cross{IBATOOL}{moduleSum} &&& \end{tabular} -<>= +\begin{chunk}{package IBATOOL IntegralBasisTools} )abbrev package IBATOOL IntegralBasisTools ++ Author: Victor Miller, Barry Trager, Clifton Williamson ++ Date Created: 11 April 1990 @@ -50722,13 +50725,13 @@ rbinv := UpTriBddDenomInv(rb,den) [rb,den,rbinv] -@ -<>= +\end{chunk} +\begin{chunk}{IBATOOL.dotabb} "IBATOOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IBATOOL"] "FRAMALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRAMALG"] "IBATOOL" -> "FRAMALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IBPTOOLS IntegralBasisPolynomialTools} \pagehead{IntegralBasisPolynomialTools}{IBPTOOLS} @@ -50742,7 +50745,7 @@ \cross{IBPTOOLS}{mapUnivariateIfCan} \end{tabular} -<>= +\begin{chunk}{package IBPTOOLS IntegralBasisPolynomialTools} )abbrev package IBPTOOLS IntegralBasisPolynomialTools ++ Author: Clifton Williamson ++ Date Created: 13 August 1993 @@ -50831,13 +50834,13 @@ poly := reductum poly ans -@ -<>= +\end{chunk} +\begin{chunk}{IBPTOOLS.dotabb} "IBPTOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IBPTOOLS"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "IBPTOOLS" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IR2 IntegrationResultFunctions2} \pagehead{IntegrationResultFunctions2}{IR2} @@ -50846,7 +50849,7 @@ {\bf Exports:}\\ \cross{IR2}{map} -<>= +\begin{chunk}{package IR2 IntegrationResultFunctions2} )abbrev package IR2 IntegrationResultFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -50912,13 +50915,13 @@ LGE2F(func, lg) == [lg.scalar, map(func, lg.coeff), map(func, lg.logand)] -@ -<>= +\end{chunk} +\begin{chunk}{IR2.dotabb} "IR2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IR2"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "IR2" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IRRF2F IntegrationResultRFToFunction} \pagehead{IntegrationResultRFToFunction}{IRRF2F} @@ -50933,7 +50936,7 @@ \cross{IRRF2F}{split} \end{tabular} -<>= +\begin{chunk}{package IRRF2F IntegrationResultRFToFunction} )abbrev package IRRF2F IntegrationResultRFToFunction ++ Author: Manuel Bronstein ++ Date Created: 21 August 1988 @@ -50998,13 +51001,13 @@ empty? rest l => first l l -@ -<>= +\end{chunk} +\begin{chunk}{IRRF2F.dotabb} "IRRF2F" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IRRF2F"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "IRRF2F" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IR2F IntegrationResultToFunction} \pagehead{IntegrationResultToFunction}{IR2F} @@ -51017,7 +51020,7 @@ \cross{IR2F}{split} \end{tabular} -<>= +\begin{chunk}{package IR2F IntegrationResultToFunction} )abbrev package IR2F IntegrationResultToFunction ++ Author: Manuel Bronstein ++ Date Created: 4 February 1988 @@ -51232,13 +51235,13 @@ ffactor(primitivePart(lg.coeff) )$FunctionSpaceUnivariatePolynomialFactor(R, F, UP)] -@ -<>= +\end{chunk} +\begin{chunk}{IR2F.dotabb} "IR2F" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IR2F"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "IR2F" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTTOOLS IntegrationTools} \pagehead{IntegrationTools}{INTTOOLS} @@ -51256,7 +51259,7 @@ \cross{INTTOOLS}{varselect} && \end{tabular} -<>= +\begin{chunk}{package INTTOOLS IntegrationTools} )abbrev package INTTOOLS IntegrationTools ++ Author: Manuel Bronstein ++ Date Created: 25 April 1990 @@ -51392,13 +51395,13 @@ else nl := concat(rec, nl) mkAnswer(ans, lg, nl) -@ -<>= +\end{chunk} +\begin{chunk}{INTTOOLS.dotabb} "INTTOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTTOOLS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "INTTOOLS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IPRNTPK InternalPrintPackage} \pagehead{InternalPrintPackage}{IPRNTPK} @@ -51407,7 +51410,7 @@ {\bf Exports:}\\ \cross{IPRNTPK}{iprint} -<>= +\begin{chunk}{package IPRNTPK InternalPrintPackage} )abbrev package IPRNTPK InternalPrintPackage ++ Author: Themos Tsikas ++ Date Created: 09/09/1998 @@ -51433,13 +51436,13 @@ PRINC(coerce(s)@Symbol)$Lisp FORCE_-OUTPUT()$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{IPRNTPK.dotabb} "IPRNTPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IPRNTPK"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "IPRNTPK" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IRURPK InternalRationalUnivariateRepresentationPackage} \pagehead{InternalRationalUnivariateRepresentationPackage}{IRURPK} @@ -51451,7 +51454,7 @@ \cross{IRURPK}{rur} \end{tabular} -<>= +\begin{chunk}{package IRURPK InternalRationalUnivariateRepresentationPackage} )abbrev package IRURPK InternalRationalUnivariateRepresentationPackage ++ Author: Marc Moreno Maza ++ Date Created: 01/1999 @@ -51642,16 +51645,16 @@ toSee := cons(wip,toSee) toSave -@ -<>= +\end{chunk} +\begin{chunk}{IRURPK.dotabb} "IRURPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IRURPK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "IRURPK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTFRSP InterpolateFormsPackage} -<>= +\begin{chunk}{InterpolateFormsPackage.input} )set break resume )sys rm -f InterpolateFormsPackage.output )spool InterpolateFormsPackage.output @@ -51676,8 +51679,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{InterpolateFormsPackage.help} ==================================================================== InterpolateFormsPackage examples ==================================================================== @@ -51685,7 +51688,7 @@ See Also: o )show InterpolateFormsPackage -@ +\end{chunk} \pagehead{InterpolateFormsPackage}{INTFRSP} \pagepic{ps/v104interpolateformspackage.eps}{INTFRSP}{1.00} @@ -51697,7 +51700,7 @@ \cross{INTFRSP}{interpolateFormsForFact} \end{tabular} -<>= +\begin{chunk}{package INTFRSP InterpolateFormsPackage} )abbrev package INTFRSP InterpolateFormsPackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -51993,8 +51996,8 @@ -- npsol:=listOfLists(rowEchmpsol) -- [reduce("+",[a*f for a in ll for f in lmnumer]) for ll in npsol] -@ -<>= +\end{chunk} +\begin{chunk}{INTFRSP.dotabb} "INTFRSP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTFRSP"] "LISYSER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LISYSER"] "PFORP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFORP"] @@ -52003,10 +52006,10 @@ "INTFRSP" -> "PFORP" "INTFRSP" -> "PARAMP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTDIVP IntersectionDivisorPackage} -<>= +\begin{chunk}{IntersectionDivisorPackage.input} )set break resume )sys rm -f IntersectionDivisorPackage.output )spool IntersectionDivisorPackage.output @@ -52029,8 +52032,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{IntersectionDivisorPackage.help} ==================================================================== IntersectionDivisorPackage examples ==================================================================== @@ -52038,7 +52041,7 @@ See Also: o )show IntersectionDivisorPackage -@ +\end{chunk} \pagehead{IntersectionDivisorPackage}{INTDIVP} \pagepic{ps/v104intersectiondivisorpackage.eps}{INTDIVP}{1.00} @@ -52048,7 +52051,7 @@ \cross{INTDIVP}{placesOfDegree} \end{tabular} -<>= +\begin{chunk}{package INTDIVP IntersectionDivisorPackage} )abbreviation package INTDIVP IntersectionDivisorPackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -52150,13 +52153,13 @@ pointToPlace(tpt,curve)$ParamPackFC Void() -@ -<>= +\end{chunk} +\begin{chunk}{INTDIVP.dotabb} "INTDIVP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTDIVP"] "DTP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DTP"] "INTDIVP" -> "DTP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IRREDFFX IrredPolyOverFiniteField} \pagehead{IrredPolyOverFiniteField}{IRREDFFX} @@ -52165,7 +52168,7 @@ {\bf Exports:}\\ \cross{IRREDFFX}{generateIrredPoly} -<>= +\begin{chunk}{package IRREDFFX IrredPolyOverFiniteField} )abbrev package IRREDFFX IrredPolyOverFiniteField ++ Author: Robert S. Sutor (original) ++ Date Created: ??? @@ -52229,13 +52232,13 @@ getIrredPoly(1, n) getIrredPoly(q + 1, n) -@ -<>= +\end{chunk} +\begin{chunk}{IRREDFFX.dotabb} "IRREDFFX" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IRREDFFX"] "FPC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FPC"] "IRREDFFX" -> "FPC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package IRSN IrrRepSymNatPackage} \pagehead{IrrRepSymNatPackage}{IRSN} @@ -52247,7 +52250,7 @@ \cross{IRSN}{irreducibleRepresentation} \end{tabular} -<>= +\begin{chunk}{package IRSN IrrRepSymNatPackage} )abbrev package IRSN IrrRepSymNatPackage ++ Authors: Johannes Grabmeier, Thorsten Werther ++ Date Created: 04 August 1988 @@ -52556,13 +52559,13 @@ alreadyComputed?(lambda) [irreducibleRepresentation(lambda, pi) for pi in listperm] -@ -<>= +\end{chunk} +\begin{chunk}{IRSN.dotabb} "IRSN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=IRSN"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "IRSN" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INVLAPLA InverseLaplaceTransform} \pagehead{InverseLaplaceTransform}{INVLAPLA} @@ -52571,7 +52574,7 @@ {\bf Exports:}\\ \cross{INVLAPLA}{inverseLaplace} -<>= +\begin{chunk}{package INVLAPLA InverseLaplaceTransform} )abbrev package INVLAPLA InverseLaplaceTransform ++ Author: Barry Trager ++ Date Created: 3 Sept 1991 @@ -52665,13 +52668,13 @@ q1 := differentiate q +/[p(root)/q1(root)*exp(root*t) for root in roots] -@ -<>= +\end{chunk} +\begin{chunk}{INVLAPLA.dotabb} "INVLAPLA" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INVLAPLA"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "INVLAPLA" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter J} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -52688,7 +52691,7 @@ \cross{KERNEL2}{constantIfCan} \end{tabular} -<>= +\begin{chunk}{package KERNEL2 KernelFunctions2} )abbrev package KERNEL2 KernelFunctions2 ++ Description: ++ This package exports some auxiliary functions on kernels @@ -52705,13 +52708,13 @@ constantKernel r == kernel(constantOperator r, nil(), 1) constantIfCan k == constantOpIfCan operator k -@ -<>= +\end{chunk} +\begin{chunk}{KERNEL2.dotabb} "KERNEL2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=KERNEL2"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "KERNEL2" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package KOVACIC Kovacic} \pagehead{Kovacic}{KOVACIC} @@ -52720,7 +52723,7 @@ {\bf Exports:}\\ \cross{KOVACIC}{kovacic} -<>= +\begin{chunk}{package KOVACIC Kovacic} )abbrev package KOVACIC Kovacic ++ Author: Manuel Bronstein ++ Date Created: 14 January 1992 @@ -52813,13 +52816,13 @@ return false true -@ -<>= +\end{chunk} +\begin{chunk}{KOVACIC.dotabb} "KOVACIC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=KOVACIC"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "KOVACIC" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter L} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -52830,7 +52833,7 @@ {\bf Exports:}\\ \cross{LAPLACE}{laplace} -<>= +\begin{chunk}{package LAPLACE LaplaceTransform} )abbrev package LAPLACE LaplaceTransform ++ Author: Manuel Bronstein ++ Date Created: 30 May 1990 @@ -53048,16 +53051,16 @@ setProperty(oplap,SPECIALDIFF,dvlap@((List F,SE)->F) pretend None) -@ -<>= +\end{chunk} +\begin{chunk}{LAPLACE.dotabb} "LAPLACE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LAPLACE"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "LAPLACE" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LAZM3PK LazardSetSolvingPackage} -<>= +\begin{chunk}{LazardSetSolvingPackage.input} )set break resume )sys rm -f LazardSetSolvingPackage.output )spool LazardSetSolvingPackage.output @@ -53579,8 +53582,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LazardSetSolvingPackage.help} ==================================================================== LazardSetSolvingPackage examples ==================================================================== @@ -54020,7 +54023,7 @@ o )show LazardSetSolvingPackage o )show ZeroDimensionalSolvePackage -@ +\end{chunk} \pagehead{LazardSetSolvingPackage}{LAZM3PK} \pagepic{ps/v104lazardsetsolvingpackage.ps}{LAZM3PK}{1.00} @@ -54030,7 +54033,7 @@ \cross{LAZM3PK}{zeroSetSplit} \end{tabular} -<>= +\begin{chunk}{package LAZM3PK LazardSetSolvingPackage} )abbrev package LAZM3PK LazardSetSolvingPackage ++ Author: Marc Moreno Maza ++ Date Created: 10/02/1998 @@ -54150,13 +54153,13 @@ toSave := removeSuperfluousQuasiComponents(toSave)$quasicomppack [normalizeIfCan(ts) for ts in toSave] -@ -<>= +\end{chunk} +\begin{chunk}{LAZM3PK.dotabb} "LAZM3PK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LAZM3PK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "LAZM3PK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LEADCDET LeadingCoefDetermination} \pagehead{LeadingCoefDetermination}{LEADCDET} @@ -54168,7 +54171,7 @@ \cross{LEADCDET}{polCase} \end{tabular} -<>= +\begin{chunk}{package LEADCDET LeadingCoefDetermination} )abbrev package LEADCDET LeadingCoefDetermination ++ Author : P.Gianni, May 1990 ++ Description: @@ -54280,16 +54283,16 @@ contm =1 => [[vlp.i*aux.i for i in 1..nf],1,unilist]$LeadFact distribute(contm,unilist,aux,vlp,lvar,lval) -@ -<>= +\end{chunk} +\begin{chunk}{LEADCDET.dotabb} "LEADCDET" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LEADCDET"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LEADCDET" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LEXTRIPK LexTriangularPackage} -<>= +\begin{chunk}{LexTriangularPackage.input} )set break resume )spool LexTriangularPackage.output )set message test on @@ -56045,8 +56048,8 @@ --E 22 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LexTriangularPackage.help} ==================================================================== LexTriangularPackage examples ==================================================================== @@ -57727,7 +57730,7 @@ o )help Fraction o )show LexTriangularPackage -@ +\end{chunk} \pagehead{LexTriangularPackage}{LEXTRIPK} \pagepic{ps/v104lextriangularpackage.ps}{LEXTRIPK}{1.00} @@ -57741,7 +57744,7 @@ \cross{LEXTRIPK}{zeroSetSplit} \end{tabular} -<>= +\begin{chunk}{package LEXTRIPK LexTriangularPackage} )abbrev package LEXTRIPK LexTriangularPackage ++ Author: Marc Moreno Maza ++ Date Created: 08/02/1999 @@ -57964,13 +57967,13 @@ error "zeroSetSplit$LEXTRIPK: #1 not zero-dimensional" squareFreeLexTriangular(bar::(List P),norm?) -@ -<>= +\end{chunk} +\begin{chunk}{LEXTRIPK.dotabb} "LEXTRIPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LEXTRIPK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "LEXTRIPK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LINDEP LinearDependence} \pagehead{LinearDependence}{LINDEP} @@ -57983,7 +57986,7 @@ \cross{LINDEP}{solveLinear} \end{tabular} -<>= +\begin{chunk}{package LINDEP LinearDependence} )abbrev package LINDEP LinearDependence ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -58057,13 +58060,13 @@ )$LinearSystemMatrixPackage(Q, Vector Q, Vector Q, Matrix Q) -@ -<>= +\end{chunk} +\begin{chunk}{LINDEP.dotabb} "LINDEP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LINDEP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LINDEP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LODOF LinearOrdinaryDifferentialOperatorFactorizer} \pagehead{LinearOrdinaryDifferentialOperatorFactorizer}{LODOF} @@ -58075,7 +58078,7 @@ \cross{LODOF}{factor1} \end{tabular} -<>= +\begin{chunk}{package LODOF LinearOrdinaryDifferentialOperatorFactorizer} )abbrev package LODOF LinearOrdinaryDifferentialOperatorFactorizer ++ Author: Fritz Schwarz, Manuel Bronstein ++ Date Created: 1988 @@ -58199,13 +58202,13 @@ factor1 l == innerFactor(l,(p:UP):List(F)+->zro(p,squareFree),squareFree,false) -@ -<>= +\end{chunk} +\begin{chunk}{LODOF.dotabb} "LODOF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LODOF"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "LODOF" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LODOOPS LinearOrdinaryDifferentialOperatorsOps} \pagehead{LinearOrdinaryDifferentialOperatorsOps}{LODOOPS} @@ -58218,7 +58221,7 @@ \cross{LODOOPS}{symmetricProduct} \end{tabular} -<>= +\begin{chunk}{package LODOOPS LinearOrdinaryDifferentialOperatorsOps} )abbrev package LODOOPS LinearOrdinaryDifferentialOperatorsOps ++ Author: Manuel Bronstein ++ Date Created: 18 January 1994 @@ -58321,13 +58324,13 @@ l := reductum l p -@ -<>= +\end{chunk} +\begin{chunk}{LODOOPS.dotabb} "LODOOPS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LODOOPS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "LODOOPS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LPEFRAC LinearPolynomialEquationByFractions} \pagehead{LinearPolynomialEquationByFractions}{LPEFRAC} @@ -58336,7 +58339,7 @@ {\bf Exports:}\\ \cross{LPEFRAC}{solveLinearPolynomialEquationByFractions} -<>= +\begin{chunk}{package LPEFRAC LinearPolynomialEquationByFractions} )abbrev package LPEFRAC LinearPolynomialEquationByFractions ++ Author: James Davenport ++ Date Created: @@ -58389,16 +58392,16 @@ vv) for v in ans] -@ -<>= +\end{chunk} +\begin{chunk}{LPEFRAC.dotabb} "LPEFRAC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LPEFRAC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LPEFRAC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LISYSER LinearSystemFromPowerSeriesPackage} -<>= +\begin{chunk}{LinearSystemFromPowerSeriesPackage.input} )set break resume )sys rm -f LinearSystemFromPowerSeriesPackage.output )spool LinearSystemFromPowerSeriesPackage.output @@ -58422,9 +58425,9 @@ )spool )lisp (bye) -@ +\end{chunk} -<>= +\begin{chunk}{LinearSystemFromPowerSeriesPackage.help} ==================================================================== LinearSystemFromPowerSeriesPackage examples ==================================================================== @@ -58432,7 +58435,7 @@ See Also: o )show LinearSystemFromPowerSeriesPackage -@ +\end{chunk} \pagehead{LinearSystemFromPowerSeriesPackage}{LISYSER} \pagepic{ps/v104linearsystemfrompowerseriespackage.ps}{LISYSER}{1.00} @@ -58443,7 +58446,7 @@ \cross{LISYSER}{finiteSeries2Vector} \end{tabular} -<>= +\begin{chunk}{package LISYSER LinearSystemFromPowerSeriesPackage} )abbrev package LISYSER LinearSystemFromPowerSeriesPackage ++ Authors: Gaetan Hache ++ Date Created: 1996 @@ -58508,13 +58511,13 @@ lZero -@ -<>= +\end{chunk} +\begin{chunk}{LISYSER.dotabb} "LISYSER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LISYSER"] "LOCPOWC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LOCPOWC"] "LISYSER" -> "LOCPOWC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LSMP LinearSystemMatrixPackage} \pagehead{LinearSystemMatrixPackage}{LSMP} @@ -58528,7 +58531,7 @@ \cross{LSMP}{solve} \end{tabular} -<>= +\begin{chunk}{package LSMP LinearSystemMatrixPackage} )abbrev package LSMP LinearSystemMatrixPackage ++ Author: P.Gianni, S.Watt ++ Date Created: Summer 1985 @@ -58620,13 +58623,13 @@ [[aSolution rowEchelon systemMatrix(A, b), nl] for b in rest l]) -@ -<>= +\end{chunk} +\begin{chunk}{LSMP.dotabb} "LSMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LSMP"] "MATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MATCAT"] "LSMP" -> "MATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LSMP1 LinearSystemMatrixPackage1} \pagehead{LinearSystemMatrixPackage1}{LSMP1} @@ -58640,7 +58643,7 @@ \cross{LSMP1}{solve} \end{tabular} -<>= +\begin{chunk}{package LSMP1 LinearSystemMatrixPackage1} )abbrev package LSMP1 LinearSystemMatrixPackage1 ++ Author: R. Sutor ++ Date Created: June, 1994 @@ -58705,13 +58708,13 @@ hasSolution?(m :M, c : Col): Boolean == hasSolution?(m, c)$LSMP rank(m : M, c : Col): N == rank(m, c)$LSMP -@ -<>= +\end{chunk} +\begin{chunk}{LSMP1.dotabb} "LSMP1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LSMP1"] "VECTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=VECTCAT"] "LSMP1" -> "VECTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LSPP LinearSystemPolynomialPackage} \pagehead{LinearSystemPolynomialPackage}{LSPP} @@ -58720,7 +58723,7 @@ {\bf Exports:}\\ \cross{LSPP}{linSolve} -<>= +\begin{chunk}{package LSPP LinearSystemPolynomialPackage} )abbrev package LSPP LinearSystemPolynomialPackage ++ Author: P.Gianni ++ Date Created: Summer 1985 @@ -58783,13 +58786,13 @@ r := intoMatrix(ps, vs) solve(r.mat, r.vec)$LinearSystemMatrixPackage(F,V F,V F,M F) -@ -<>= +\end{chunk} +\begin{chunk}{LSPP.dotabb} "LSPP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LSPP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LSPP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LGROBP LinGroebnerPackage} \pagehead{LinGroebnerPackage}{LGROBP} @@ -58809,7 +58812,7 @@ \cross{LGROBP}{transform} \end{tabular} -<>= +\begin{chunk}{package LGROBP LinGroebnerPackage} )abbrev package LGROBP LinGroebnerPackage ++ Description: ++ Given a Groebner basis B with respect to the total degree ordering for @@ -59117,18 +59120,18 @@ LL:= groebner(LL) [LL,ll]$cLVars -@ -<>= +\end{chunk} +\begin{chunk}{LGROBP.dotabb} "LGROBP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LGROBP"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LGROBP" -> "DIRPCAT" "LGROBP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LOP LinesOpPack} -<>= +\begin{chunk}{LinesOpPack.input} )set break resume )sys rm -f LinesOpPack.output )spool LinesOpPack.output @@ -59155,8 +59158,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LinesOpPack.help} ==================================================================== LinesOpPack examples ==================================================================== @@ -59164,7 +59167,7 @@ See Also: o )show LinesOpPack -@ +\end{chunk} \pagehead{LinesOpPack}{LOP} \pagepic{ps/v104linesoppack.eps}{LOP}{1.00} @@ -59178,7 +59181,7 @@ \cross{LOP}{rowEchWoZeroLinesWOVectorise} \end{tabular} -<>= +\begin{chunk}{package LOP LinesOpPack} )abbrev package LOP LinesOpPack ++ Authors: G. Hache ++ Date Created: 21 sept 1994 @@ -59272,13 +59275,13 @@ mcopy:=concat([mcopy.k for k in 1..i] :: List(List(K)),newBottom) mcopy -@ -<>= +\end{chunk} +\begin{chunk}{LOP.dotabb} "LOP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LOP"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "LOP" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LF LiouvillianFunction} \pagehead{LiouvillianFunction}{LF} @@ -59298,7 +59301,7 @@ \cross{LF}{Si} \end{tabular} -<>= +\begin{chunk}{package LF LiouvillianFunction} )abbrev package LF LiouvillianFunction ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -59503,13 +59506,13 @@ setProperty(opint, SPECIALINPUT, inint@(List F -> INP) pretend None) setProperty(opdint, SPECIALINPUT, indint@(List F -> INP) pretend None) -@ -<>= +\end{chunk} +\begin{chunk}{LF.dotabb} "LF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "LF" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LIST2 ListFunctions2} \pagehead{ListFunctions2}{LIST2} @@ -59522,7 +59525,7 @@ \cross{LIST2}{scan} \end{tabular} -<>= +\begin{chunk}{package LIST2 ListFunctions2} )abbrev package LIST2 ListFunctions2 ++ Author: ++ Date Created: @@ -59569,13 +59572,13 @@ scan(f, l, b) == scan(f, l, b)$O2 reduce(f, l, b) == reduce(f, l, b)$O2 -@ -<>= +\end{chunk} +\begin{chunk}{LIST2.dotabb} "LIST2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LIST2"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "LIST2" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LIST3 ListFunctions3} \pagehead{ListFunctions3}{LIST3} @@ -59584,7 +59587,7 @@ {\bf Exports:}\\ \cross{LIST3}{map} -<>= +\begin{chunk}{package LIST3 ListFunctions3} )abbrev package LIST3 ListFunctions3 ++ Author: ++ Date Created: @@ -59619,13 +59622,13 @@ empty?(la) or empty?(lb) => empty()$LC concat(fn(first la, first lb), map(fn, rest la, rest lb)) -@ -<>= +\end{chunk} +\begin{chunk}{LIST3.dotabb} "LIST3" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LIST3"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "LIST3" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LIST2MAP ListToMap} \pagehead{ListToMap}{LIST2MAP} @@ -59634,7 +59637,7 @@ {\bf Exports:}\\ \cross{LIST2MAP}{match} -<>= +\begin{chunk}{package LIST2MAP ListToMap} )abbrev package LIST2MAP ListToMap ++ Author: Manuel Bronstein ++ Date Created: 22 Mar 1988 @@ -59723,16 +59726,16 @@ (p := position(a, la)) < minIndex(la) => f a lb.p -@ -<>= +\end{chunk} +\begin{chunk}{LIST2MAP.dotabb} "LIST2MAP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LIST2MAP"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "LIST2MAP" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LPARSPT LocalParametrizationOfSimplePointPackage} -<>= +\begin{chunk}{LocalParametrizationOfSimplePointPackage.input} )set break resume )sys rm -f LocalParametrizationOfSimplePointPackage.output )spool LocalParametrizationOfSimplePointPackage.output @@ -59758,8 +59761,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{LocalParametrizationOfSimplePointPackage.help} ==================================================================== LocalParametrizationOfSimplePointPackage examples ==================================================================== @@ -59767,7 +59770,7 @@ See Also: o )show LocalParametrizationOfSimplePointPackage -@ +\end{chunk} \pagehead{LocalParametrizationOfSimplePointPackage}{LPARSPT} \pagepic{ps/v104localparametrizationofsimplepointpackage.eps}{LPARSPT}{1.00} @@ -59780,7 +59783,7 @@ \cross{LPARSPT}{pointToPlace} \end{tabular} -<>= +\begin{chunk}{package LPARSPT LocalParametrizationOfSimplePointPackage} )abbreviation package LPARSPT LocalParametrizationOfSimplePointPackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -60023,15 +60026,15 @@ curve2:=coerceToUPUP(recBlowUp.crv,recBlowUp.chart) [f2,curve2] -@ -<>= +\end{chunk} +\begin{chunk}{LPARSPT.dotabb} "LPARSPT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LPARSPT"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LPARSPT" -> "DIRPCAT" "LPARSPT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter M} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -60045,7 +60048,7 @@ \cross{MKBCFUNC}{compiledFunction} \end{tabular} -<>= +\begin{chunk}{package MKBCFUNC MakeBinaryCompiledFunction} )abbrev package MKBCFUNC MakeBinaryCompiledFunction ++ Author: Manuel Bronstein ++ Date Created: 1 Dec 1988 @@ -60082,15 +60085,15 @@ t := [devaluate(D1)$Lisp, devaluate(D2)$Lisp]$List(InputForm) binaryFunction compile(function(e, declare DI, x, y), t) -@ -<>= +\end{chunk} +\begin{chunk}{MKBCFUNC.dotabb} "MKBCFUNC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MKBCFUNC"] "KONVERT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KONVERT"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "MKBCFUNC" -> "KONVERT" "MKBCFUNC" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MKFLCFN MakeFloatCompiledFunction} \pagehead{MakeFloatCompiledFunction}{MKFLCFN} @@ -60100,7 +60103,7 @@ \begin{tabular}{lllll} \end{tabular} -<>= +\begin{chunk}{package MKFLCFN MakeFloatCompiledFunction} )abbrev package MKFLCFN MakeFloatCompiledFunction ++ Author: Manuel Bronstein ++ Date Created: 2 Mar 1990 @@ -60223,16 +60226,16 @@ _*(a, EXPT(b, e)$Lisp)$Lisp pretend INF "failed" -@ -<>= +\end{chunk} +\begin{chunk}{MKFLCFN.dotabb} "MKFLCFN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MKFLCFN"] "KONVERT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KONVERT"] "MKFUNC" -> "KONVERT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MKFUNC MakeFunction} -<>= +\begin{chunk}{MakeFunction.input} )set break resume )spool MakeFunction.output )set message test on @@ -60346,8 +60349,8 @@ --E 9 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MakeFunction.help} ==================================================================== MakeFunction examples ==================================================================== @@ -60437,14 +60440,14 @@ See Also: o )show MakeFunction -@ +\end{chunk} \pagehead{MakeFunction}{MKFUNC} \pagepic{ps/v104makefunction.ps}{MKFUNC}{1.00} {\bf Exports:}\\ \cross{MKFUNC}{function} -<>= +\begin{chunk}{package MKFUNC MakeFunction} )abbrev package MKFUNC MakeFunction ++ Author: Manuel Bronstein ++ Date Created: 22 Nov 1988 @@ -60476,13 +60479,13 @@ interpret function(convert s, args, name)$InputForm name -@ -<>= +\end{chunk} +\begin{chunk}{MKFUNC.dotabb} "MKFUNC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MKFUNC"] "KONVERT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KONVERT"] "MKFUNC" -> "KONVERT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MKRECORD MakeRecord} \pagehead{MakeRecord}{MKRECORD} @@ -60491,7 +60494,7 @@ {\bf Exports:}\\ \cross{MKRECORD}{makeRecord} -<>= +\begin{chunk}{package MKRECORD MakeRecord} )abbrev package MKRECORD MakeRecord ++ Description: ++ MakeRecord is used internally by the interpreter to create record @@ -60507,15 +60510,15 @@ makeRecord(s: S, t: T) == [s,t]$Record(part1: S, part2: T) -@ -<>= +\end{chunk} +\begin{chunk}{MKRECORD.dotabb} "MKRECORD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MKRECORD"] "KONVERT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KONVERT"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "MKUCFUNC" -> "KONVERT" "MKUCFUNC" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MKUCFUNC MakeUnaryCompiledFunction} \pagehead{MakeUnaryCompiledFunction}{MKUCFUNC} @@ -60527,7 +60530,7 @@ \cross{MKUCFUNC}{compiledFunction} \end{tabular} -<>= +\begin{chunk}{package MKUCFUNC MakeUnaryCompiledFunction} )abbrev package MKUCFUNC MakeUnaryCompiledFunction ++ Author: Manuel Bronstein ++ Date Created: 1 Dec 1988 @@ -60565,15 +60568,15 @@ ]$List(InputForm) unaryFunction compile(function(e, declare DI, x), t) -@ -<>= +\end{chunk} +\begin{chunk}{MKUCFUNC.dotabb} "MKUCFUNC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MKUCFUNC"] "KONVERT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KONVERT"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "MKUCFUNC" -> "KONVERT" "MKUCFUNC" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPHACK1 MappingPackageInternalHacks1} \pagehead{MappingPackageInternalHacks1}{MAPHACK1} @@ -60585,7 +60588,7 @@ \cross{MAPHACK1}{recur} \end{tabular} -<>= +\begin{chunk}{package MAPHACK1 MappingPackageInternalHacks1} )abbrev package MAPHACK1 MappingPackageInternalHacks1 ++ Author: S.M.Watt and W.H.Burge ++ Date Created:Jan 87 @@ -60617,15 +60620,15 @@ for i in 1..n repeat x := g(i,x) -- g(n,g(n-1,..g(1,x)..)) x -@ -<>= +\end{chunk} +\begin{chunk}{MAPHACK1.dotabb} "MAPHACK1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPHACK1"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "MAPHACK1" -> "BASTYPE" "MAPHACK1" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPHACK2 MappingPackageInternalHacks2} \pagehead{MappingPackageInternalHacks2}{MAPHACK2} @@ -60637,7 +60640,7 @@ \cross{MAPHACK2}{arg2} \end{tabular} -<>= +\begin{chunk}{package MAPHACK2 MappingPackageInternalHacks2} )abbrev package MAPHACK2 MappingPackageInternalHacks2 ++ Description: ++ Various Currying operations. @@ -60656,15 +60659,15 @@ arg1(a, c) == a arg2(a, c) == c -@ -<>= +\end{chunk} +\begin{chunk}{MAPHACK2.dotabb} "MAPHACK2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPHACK2"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "MAPHACK2" -> "BASTYPE" "MAPHACK2" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPHACK3 MappingPackageInternalHacks3} \pagehead{MappingPackageInternalHacks3}{MAPHACK3} @@ -60673,7 +60676,7 @@ {\bf Exports:}\\ \cross{MAPHACK3}{comp} -<>= +\begin{chunk}{package MAPHACK3 MappingPackageInternalHacks3} )abbrev package MAPHACK3 MappingPackageInternalHacks3 ++ Description: ++ Various Currying operations. @@ -60689,18 +60692,18 @@ MPdef == add comp(g,h,x) == g h x -@ -<>= +\end{chunk} +\begin{chunk}{MAPHACK3.dotabb} "MAPHACK3" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPHACK3"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "MAPHACK3" -> "BASTYPE" "MAPHACK3" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPPKG1 MappingPackage1} -<>= +\begin{chunk}{MappingPackage1.input} )set break resume )spool MappingPackage1.output )set message test on @@ -60940,8 +60943,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MappingPackage1.help} ==================================================================== MappingPackage examples ==================================================================== @@ -61117,7 +61120,7 @@ o )help MappingPackage3 o )help MappingPackage4 -@ +\end{chunk} \pagehead{MappingPackage1}{MAPPKG1} \pagepic{ps/v104mappingpackage1.ps}{MAPPKG1}{1.00} @@ -61131,7 +61134,7 @@ \cross{MAPPKG1}{?**?} \end{tabular} -<>= +\begin{chunk}{package MAPPKG1 MappingPackage1} )abbrev package MAPPKG1 MappingPackage1 ++ Author: S.M.Watt and W.H.Burge ++ Date Created:Jan 87 @@ -61206,18 +61209,18 @@ recur fnaa == (n1:NNI,a2:A):A +-> recur(fnaa, n1, a2) -@ -<>= +\end{chunk} +\begin{chunk}{MAPPKG1.dotabb} "MAPPKG1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPPKG1"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "MAPPKG1" -> "BASTYPE" "MAPPKG1" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPPKG2 MappingPackage2} -<>= +\begin{chunk}{MappingPackage2.input} )set break resume )spool MappingPackage2.output )set message test on @@ -61454,8 +61457,8 @@ --E 26 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MappingPackage2.help} ==================================================================== MappingPackage examples ==================================================================== @@ -61631,7 +61634,7 @@ o )help MappingPackage3 o )help MappingPackage4 -@ +\end{chunk} \pagehead{MappingPackage2}{MAPPKG2} \pagepic{ps/v104mappingpackage2.ps}{MAPPKG2}{1.00} @@ -61643,7 +61646,7 @@ \cross{MAPPKG2}{diag} \end{tabular} -<>= +\begin{chunk}{package MAPPKG2 MappingPackage2} )abbrev package MAPPKG2 MappingPackage2 ++ Description: ++ Various Currying operations. @@ -61684,18 +61687,18 @@ constant f0c == (a1:A):C +-> arg2(a1, f0c()) diag faac == (a1:A):C +-> faac(a1, a1) -@ -<>= +\end{chunk} +\begin{chunk}{MAPPKG2.dotabb} "MAPPKG2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPPKG2"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "MAPPKG2" -> "BASTYPE" "MAPPKG2" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPPKG3 MappingPackage3} -<>= +\begin{chunk}{MappingPackage3.input} )set break resume )spool MappingPackage3.output )set message test on @@ -61932,8 +61935,8 @@ --E 26 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MappingPackage3.help} ==================================================================== MappingPackage examples ==================================================================== @@ -62109,7 +62112,7 @@ o )show MappingPackage3 o )help MappingPackage4 -@ +\end{chunk} \pagehead{MappingPackage3}{MAPPKG3} \pagepic{ps/v104MappingPackage3.ps}{MAPPKG3}{1.00} @@ -62123,7 +62126,7 @@ \cross{MAPPKG3}{?*?} \end{tabular} -<>= +\begin{chunk}{package MAPPKG3 MappingPackage3} )abbrev package MAPPKG3 MappingPackage3 ++ Description: ++ Various Currying operations. @@ -62185,18 +62188,18 @@ -- Functional composition fbc*fab == (a:A):C +-> comp(fbc,fab,a) -@ -<>= +\end{chunk} +\begin{chunk}{MAPPKG3.dotabb} "MAPPKG3" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPPKG3"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "MAPPKG3" -> "BASTYPE" "MAPPKG3" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MAPPKG4 MappingPackage4} -<>= +\begin{chunk}{MappingPackage4.input} )set break resume )spool MappingPackage4.output )set message test on @@ -62371,8 +62374,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{MappingPackage4.help} ==================================================================== MappingPackage examples ==================================================================== @@ -62445,7 +62448,7 @@ o )help MappingPackage3 o )help MappingPackage4 -@ +\end{chunk} \pagehead{MappingPackage4}{MAPPKG4} \pagepic{ps/v104mappingpackage4.ps}{MAPPKG4}{1.00} @@ -62457,7 +62460,7 @@ \cross{MAPPKG4}{?/?} \end{tabular} -<>= +\begin{chunk}{package MAPPKG4 MappingPackage4} )abbrev package MAPPKG4 MappingPackage4 ++ Author: Timothy Daly ++ Description: @@ -62512,15 +62515,15 @@ (a:faei)/(b:faei) == c +-> funcDiv(a,b,c) -@ -<>= +\end{chunk} +\begin{chunk}{MAPPKG4.dotabb} "MAPPKG4" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MAPPKG4"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "MAPPKG4" -> "PID" "MAPPKG4" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MATCAT2 MatrixCategoryFunctions2} \pagehead{MatrixCategoryFunctions2}{MATCAT2} @@ -62532,7 +62535,7 @@ \cross{MATCAT2}{reduce} \end{tabular} -<>= +\begin{chunk}{package MATCAT2 MatrixCategoryFunctions2} )abbrev package MATCAT2 MatrixCategoryFunctions2 ++ Author: Clifton J. Williamson ++ Date Created: 21 November 1989 @@ -62598,13 +62601,13 @@ s := f(qelt(m,i,j),s) s -@ -<>= +\end{chunk} +\begin{chunk}{MATCAT2.dotabb} "MATCAT2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MATCAT2"] "MATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MATCAT"] "MATCAT2" -> "MATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MCDEN MatrixCommonDenominator} \pagehead{MatrixCommonDenominator}{MCDEN} @@ -62617,7 +62620,7 @@ \cross{MCDEN}{splitDenominator} \end{tabular} -<>= +\begin{chunk}{package MCDEN MatrixCommonDenominator} )abbrev package MCDEN MatrixCommonDenominator ++ Author: Manuel Bronstein ++ Date Created: 2 May 1988 @@ -62663,13 +62666,13 @@ else commonDenominator m == reduce("*",map(denom, parts m),1)$List(R) -@ -<>= +\end{chunk} +\begin{chunk}{MCDEN.dotabb} "MCDEN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MCDEN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MCDEN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MATLIN MatrixLinearAlgebraFunctions} \pagehead{MatrixLinearAlgebraFunctions}{MATLIN} @@ -62693,7 +62696,7 @@ \cross{MATLIN}{rowEchelon} & \end{tabular} -<>= +\begin{chunk}{package MATLIN MatrixLinearAlgebraFunctions} )abbrev package MATLIN MatrixLinearAlgebraFunctions ++ Author: Clifton J. Williamson, P.Gianni ++ Date Created: 13 November 1989 @@ -63025,13 +63028,13 @@ else determinant x == minordet x -@ -<>= +\end{chunk} +\begin{chunk}{MATLIN.dotabb} "MATLIN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MATLIN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MATLIN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MTHING MergeThing} \pagehead{MergeThing}{MTHING} @@ -63040,7 +63043,7 @@ {\bf Exports:}\\ \cross{MTHING}{mergeDifference} -<>= +\begin{chunk}{package MTHING MergeThing} )abbrev package MTHING MergeThing ++ Description: ++ This package exports tools for merging lists @@ -63073,13 +63076,13 @@ ry := ry.rest x := rx -@ -<>= +\end{chunk} +\begin{chunk}{MTHING.dotabb} "MTHING" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MTHING"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "MTHING" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MESH MeshCreationRoutinesForThreeDimensions} \pagehead{MeshCreationRoutinesForThreeDimensions}{MESH} @@ -63093,7 +63096,7 @@ \cross{MESH}{ptFunc} \end{tabular} -<>= +\begin{chunk}{package MESH MeshCreationRoutinesForThreeDimensions} )abbrev package MESH MeshCreationRoutinesForThreeDimensions ++ Author: Jim Wen ++ Date Created: ?? @@ -63229,15 +63232,15 @@ meshPar2Var((z1:SF,z2:SF):SF +-> z1, (x1:SF,x2:SF):SF +-> x2,zFun,colorFun,xSeg,ySeg,opts) -@ -<>= +\end{chunk} +\begin{chunk}{MESH.dotabb} "MESH" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MESH"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "MESH" -> "FIELD" "MESH" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MDDFACT ModularDistinctDegreeFactorizer} \pagehead{ModularDistinctDegreeFactorizer}{MDDFACT} @@ -63253,7 +63256,7 @@ \cross{MDDFACT}{separateFactors} \end{tabular} -<>= +\begin{chunk}{package MDDFACT ModularDistinctDegreeFactorizer} )abbrev package MDDFACT ModularDistinctDegreeFactorizer ++ Author: Barry Trager ++ Date Created: @@ -63478,13 +63481,13 @@ d:= d - 1 tt -@ -<>= +\end{chunk} +\begin{chunk}{MDDFACT.dotabb} "MDDFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MDDFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MDDFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MHROWRED ModularHermitianRowReduction} \pagehead{ModularHermitianRowReduction}{MHROWRED} @@ -63499,7 +63502,7 @@ \cross{MHROWRED}{rowEchelonLocal} \end{tabular} -<>= +\begin{chunk}{package MHROWRED ModularHermitianRowReduction} )abbrev package MHROWRED ModularHermitianRowReduction ++ Author: Manuel Bronstein ++ Date Created: 22 February 1989 @@ -63741,13 +63744,13 @@ i := i+1 x -@ -<>= +\end{chunk} +\begin{chunk}{MHROWRED.dotabb} "MHROWRED" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MHROWRED"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "MHROWRED" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MRF2 MonoidRingFunctions2} \pagehead{MonoidRingFunctions2}{MRF2} @@ -63756,7 +63759,7 @@ {\bf Exports:}\\ \cross{MRF2}{map} -<>= +\begin{chunk}{package MRF2 MonoidRingFunctions2} )abbrev package MRF2 MonoidRingFunctions2 ++ Author: Johannes Grabmeier ++ Date Created: 14 May 1991 @@ -63787,15 +63790,15 @@ res := res + monomial(fn(te.coef), te.monom) res -@ -<>= +\end{chunk} +\begin{chunk}{MRF2.dotabb} "MRF2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MRF2"] "LMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LMODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "MRF2" -> "LMODULE" "MRF2" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MONOTOOL MonomialExtensionTools} \pagehead{MonomialExtensionTools}{MONOTOOL} @@ -63809,7 +63812,7 @@ \cross{MONOTOOL}{splitSquarefree} \end{tabular} -<>= +\begin{chunk}{package MONOTOOL MonomialExtensionTools} )abbrev package MONOTOOL MonomialExtensionTools ++ Author: Manuel Bronstein ++ Date Created: 18 August 1992 @@ -63881,13 +63884,13 @@ qr.remainder)::Record(coef1:UP, coef2:UP) [qr.quotient, eeu.coef2 / rec.normal, eeu.coef1 / rec.special] -@ -<>= +\end{chunk} +\begin{chunk}{MONOTOOL.dotabb} "MONOTOOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MONOTOOL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MONOTOOL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MSYSCMD MoreSystemCommands} \pagehead{MoreSystemCommands}{MSYSCMD} @@ -63896,7 +63899,7 @@ {\bf Exports:}\\ \cross{MSYSCMD}{systemCommand} -<>= +\begin{chunk}{package MSYSCMD MoreSystemCommands} )abbrev package MSYSCMD MoreSystemCommands ++ Author: ++ Date Created: @@ -63926,13 +63929,13 @@ systemCommand cmd == doSystemCommand(cmd)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{MSYSCMD.dotabb} "MSYSCMD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MSYSCMD"] "Package" [color="#FF4488"] "MSYSCMD" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MPCPF MPolyCatPolyFactorizer} \pagehead{MPolyCatPolyFactorizer}{MPCPF} @@ -63941,7 +63944,7 @@ {\bf Exports:}\\ \cross{MPCPF}{factor} -<>= +\begin{chunk}{package MPCPF MPolyCatPolyFactorizer} )abbrev package MPCPF MPolyCatPolyFactorizer ++ Author: P. Gianni ++ Date Created: @@ -64001,13 +64004,13 @@ fcont:=(unit flist)::PPR nilFactor(c*fcont,1)*(_*/[primeFactor(ff.irr,ff.pow) for ff in ffact]) -@ -<>= +\end{chunk} +\begin{chunk}{MPCPF.dotabb} "MPCPF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MPCPF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MPCPF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MPRFF MPolyCatRationalFunctionFactorizer} \pagehead{MPolyCatRationalFunctionFactorizer}{MPRFF} @@ -64024,7 +64027,7 @@ \cross{MPRFF}{totalfract} &&& \end{tabular} -<>= +\begin{chunk}{package MPRFF MPolyCatRationalFunctionFactorizer} )abbrev package MPRFF MPolyCatRationalFunctionFactorizer ++ Author: P. Gianni ++ Date Created: @@ -64170,13 +64173,13 @@ g:F:=retract p [numer g,denom g]$QuoForm -@ -<>= +\end{chunk} +\begin{chunk}{MPRFF.dotabb} "MPRFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MPRFF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MPRFF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MPC2 MPolyCatFunctions2} \pagehead{MPolyCatFunctions2}{MPC2} @@ -64188,7 +64191,7 @@ \cross{MPC2}{reshape} \end{tabular} -<>= +\begin{chunk}{package MPC2 MPolyCatFunctions2} )abbrev package MPC2 MPolyCatFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -64231,13 +64234,13 @@ supr : SUPR := univariate(pr,var)$PR multivariate(supMap(fn,supr),var)$PS -@ -<>= +\end{chunk} +\begin{chunk}{MPC2.dotabb} "MPC2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MPC2"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MPC2" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MPC3 MPolyCatFunctions3} \pagehead{MPolyCatFunctions3}{MPC3} @@ -64246,7 +64249,7 @@ {\bf Exports:}\\ \cross{MPC3}{map} -<>= +\begin{chunk}{package MPC3 MPolyCatFunctions3} )abbrev package MPC3 MPolyCatFunctions3 ++ Description: ++ This package has no description @@ -64278,13 +64281,13 @@ up := reductum up ans -@ -<>= +\end{chunk} +\begin{chunk}{MPC3.dotabb} "MPC3" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MPC3"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MPC3" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MRATFAC MRationalFactorize} \pagehead{MRationalFactorize}{MRATFAC} @@ -64293,7 +64296,7 @@ {\bf Exports:}\\ \cross{MRATFAC}{factor} -<>= +\begin{chunk}{package MRATFAC MRationalFactorize} )abbrev package MRATFAC MRationalFactorize ++ Author: P. Gianni ++ Date Created: @@ -64345,13 +64348,13 @@ _*/[primeFactor(map(coerce,coerce1,u.factor)$PCLRFR, u.exponent) for u in factors ffact] -@ -<>= +\end{chunk} +\begin{chunk}{MRATFAC.dotabb} "MRATFAC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MRATFAC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MRATFAC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MFINFACT MultFiniteFactorize} \pagehead{MultFiniteFactorize}{MFINFACT} @@ -64360,7 +64363,7 @@ {\bf Exports:}\\ \cross{MFINFACT}{factor} -<>= +\begin{chunk}{package MFINFACT MultFiniteFactorize} )abbrev package MFINFACT MultFiniteFactorize ++ Author: P. Gianni ++ Date Created: Summer 1990 @@ -64852,13 +64855,13 @@ (*/[primeFactor(pushup(u.irr,basicVar),u.pow) for u in flist.factors]) -@ -<>= +\end{chunk} +\begin{chunk}{MFINFACT.dotabb} "MFINFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MFINFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MFINFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MMAP MultipleMap} \pagehead{MultipleMap}{MMAP} @@ -64867,7 +64870,7 @@ {\bf Exports:}\\ \cross{MMAP}{map} -<>= +\begin{chunk}{package MMAP MultipleMap} )abbrev package MMAP MultipleMap ++ Author: Manuel Bronstein ++ Date Created: May 1988 @@ -64901,13 +64904,13 @@ map(x +-> rfmap(f,x), p)$UnivariatePolynomialCategoryFunctions2(Q1, UPUP1, Q2, UPUP2) -@ -<>= +\end{chunk} +\begin{chunk}{MMAP.dotabb} "MMAP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MMAP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MMAP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MCALCFN MultiVariableCalculusFunctions} \pagehead{MultiVariableCalculusFunctions}{MCALCFN} @@ -64924,7 +64927,7 @@ \cross{MCALCFN}{laplacian} &&& \end{tabular} -<>= +\begin{chunk}{package MCALCFN MultiVariableCalculusFunctions} )abbrev package MCALCFN MultiVariableCalculusFunctions ++ Author: Themos Tsikas, Grant Keady ++ Date Created: December 1992 @@ -65084,13 +65087,13 @@ setelt(bandM,iw,j,D(vf(j+iw-1-ku),xlist(j))) ) ) bandM -@ -<>= +\end{chunk} +\begin{chunk}{MCALCFN.dotabb} "MCALCFN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MCALCFN"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "MCALCFN" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MULTFACT MultivariateFactorize} \pagehead{MultivariateFactorize}{MULTFACT} @@ -65099,7 +65102,7 @@ {\bf Exports:}\\ \cross{MULTFACT}{factor} -<>= +\begin{chunk}{package MULTFACT MultivariateFactorize} )abbrev package MULTFACT MultivariateFactorize ++ Author: P. Gianni ++ Date Created: 1983 @@ -65153,16 +65156,16 @@ factor(up:USP) : Factored USP == factor(up,factor$GenUFactorize(R))$InnerMultFact(OV,E,R,P) -@ -<>= +\end{chunk} +\begin{chunk}{MULTFACT.dotabb} "MULTFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MULTFACT"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "MULTFACT" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MLIFT MultivariateLifting} -<>= +\begin{chunk}{package MLIFT MultivariateLifting} )abbrev package MLIFT MultivariateLifting ++ Author : P.Gianni. ++ Description: @@ -65382,13 +65385,13 @@ lterm:=lterm.rest new -@ -<>= +\end{chunk} +\begin{chunk}{MLIFT.dotabb} "MLIFT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MLIFT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MLIFT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MULTSQFR MultivariateSquareFree} \pagehead{MultivariateSquareFree}{MULTSQFR} @@ -65410,7 +65413,7 @@ \cross{MULTSQFR}{univcase} &&& \end{tabular} -<>= +\begin{chunk}{package MULTSQFR MultivariateSquareFree} )abbrev package MULTSQFR MultivariateSquareFree ++ Author : P.Gianni ++ Description: @@ -65750,18 +65753,18 @@ myDegree(f:SUP,lvar:List OV,exp:NNI) : List NNI== [n quo exp for n in degree(f,lvar)] -@ -<>= +\end{chunk} +\begin{chunk}{MULTSQFR.dotabb} "MULTSQFR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MULTSQFR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "MULTSQFR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter N} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGF02 NagEigenPackage} -<>= +\begin{chunk}{NagEigenPackage.help} F02 -- Eigenvalues and Eigenvectors Introduction -- F02 Chapter F02 @@ -69060,7 +69063,7 @@ Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagEigenPackage}{NAGF02} \pagepic{ps/v104nageigenpackage.ps}{NAGF02}{1.00} @@ -69084,7 +69087,7 @@ \cross{NAGF02}{f02xef} &&&& \end{tabular} -<>= +\begin{chunk}{package NAGF02 NagEigenPackage} )abbrev package NAGF02 NagEigenPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -69648,16 +69651,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGF02.dotabb} "NAGF02" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGF02"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGE02" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGE02 NagFittingPackage} -<>= +\begin{chunk}{NagFittingPackage.help} E02 -- Curve and Surface Fitting Introduction -- E02 Chapter E02 @@ -76108,7 +76111,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagFittingPackage}{NAGE02} \pagepic{ps/v104nagfittingpackage.ps}{NAGE02}{1.00} @@ -76134,7 +76137,7 @@ \cross{NAGE02}{e02zaf} && \end{tabular} -<>= +\begin{chunk}{package NAGE02 NagFittingPackage} )abbrev package NAGE02 NagFittingPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -76747,16 +76750,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGE02.dotabb} "NAGE02" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGE02"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGE02" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGF04 NagLinearEquationSolvingPackage} -<>= +\begin{chunk}{NagLinearEquationSolvingPackage.help} F04 -- Simultaneous Linear Equations Introduction -- F04 Chapter F04 @@ -80005,7 +80008,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagLinearEquationSolvingPackage}{NAGF04} \pagepic{ps/v104naglinearequationsolvingpackage.ps}{NAGF04}{1.00} @@ -80024,7 +80027,7 @@ \cross{NAGF04}{f04qaf} &&&& \end{tabular} -<>= +\begin{chunk}{package NAGF04 NagLinearEquationSolvingPackage} )abbrev package NAGF04 NagLinearEquationSolvingPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -80416,13 +80419,13 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGF04.dotabb} "NAGF04" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGF04"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "NAGF04" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGSP NAGLinkSupportPackage} \pagehead{NAGLinkSupportPackage}{NAGSP} @@ -80438,7 +80441,7 @@ \cross{NAGSP}{restorePrecision} && \end{tabular} -<>= +\begin{chunk}{package NAGSP NAGLinkSupportPackage} )abbrev package NAGSP NAGLinkSupportPackage ++ Author: Mike Dewar and Godfrey Nolan ++ Date Created: March 1993 @@ -80515,16 +80518,16 @@ dimensionsOf(u:Symbol,m:Matrix Integer):SExpression == [u,nrows m,ncols m]$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{NAGSP.dotabb} "NAGSP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGSP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGSP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGD01 NagIntegrationPackage} -<>= +\begin{chunk}{NagIntegrationPackage.help} D01(3NAG) Foundation Library (12/10/92) D01(3NAG) @@ -84355,7 +84358,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagIntegrationPackage}{NAGD01} \pagepic{ps/v104nagintegrationpackage.ps}{NAGD01}{1.00} @@ -84375,7 +84378,7 @@ \cross{NAGD01}{d01gbf} &&& \end{tabular} -<>= +\begin{chunk}{package NAGD01 NagIntegrationPackage} )abbrev package NAGD01 NagIntegrationPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -84799,16 +84802,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGD01.dotabb} "NAGD01" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGD01"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGD01" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGE01 NagInterpolationPackage} -<>= +\begin{chunk}{NagInterpolationPackage.help} E01 -- Interpolation Introduction -- E01 Chapter E01 @@ -86730,7 +86733,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagInterpolationPackage}{NAGE01} \pagepic{ps/v104naginterpolationpackage.ps}{NAGE01}{1.00} @@ -86748,7 +86751,7 @@ \cross{NAGE01}{e01sff} \end{tabular} -<>= +\begin{chunk}{package NAGE01 NagInterpolationPackage} )abbrev package NAGE01 NagInterpolationPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -87043,16 +87046,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGE01.dotabb} "NAGE01" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGE01"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGE01" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGF07 NagLapack} -<>= +\begin{chunk}{NagLapack.help} F07 -- Linear Equations (LAPACK) Introduction -- F07 Chapter F07 @@ -87738,7 +87741,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagLapack}{NAGF07} \pagepic{ps/v104naglapack.ps}{NAGF07}{1.00} @@ -87750,7 +87753,7 @@ \cross{NAGF07}{f07fef} \end{tabular} -<>= +\begin{chunk}{package NAGF07 NagLapack} )abbrev package NAGF07 NagLapack ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -87878,16 +87881,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGF07.dotabb} "NAGF07" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGF07"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGF07" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGF01 NagMatrixOperationsPackage} -<>= +\begin{chunk}{NagMatrixOperationsPackage.help} F01 -- Matrix Factorization Introduction -- F01 Chapter F01 @@ -90666,7 +90669,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagMatrixOperationsPackage}{NAGF01} \pagepic{ps/v104nagmatrixoperationspackage.ps}{NAGF01}{1.00} @@ -90684,7 +90687,7 @@ \cross{NAGF01}{f01ref} \end{tabular} -<>= +\begin{chunk}{package NAGF01 NagMatrixOperationsPackage} )abbrev package NAGF01 NagMatrixOperationsPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -91003,16 +91006,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGF01.dotabb} "NAGF01" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGF01"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "NAGF01" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGE04 NagOptimisationPackage} -<>= +\begin{chunk}{NagOptimisationPackage.help} E04 -- Minimizing or Maximizing a Function Introduction -- E04 Chapter E04 @@ -98562,7 +98565,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagOptimisationPackage}{NAGE04} \pagepic{ps/v104nagoptimisationpackage.ps}{NAGE04}{1.00} @@ -98578,7 +98581,7 @@ \cross{NAGE04}{e04ycf} && \end{tabular} -<>= +\begin{chunk}{package NAGE04 NagOptimisationPackage} )abbrev package NAGE04 NagOptimisationPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -98994,16 +98997,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGE04.dotabb} "NAGE04" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGE04"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGE04" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGD02 NagOrdinaryDifferentialEquationsPackage} -<>= +\begin{chunk}{NagOrdinaryDifferentialEquationsPackage.help} D02(3NAG) Foundation Library (12/10/92) D02(3NAG) @@ -103478,7 +103481,7 @@ Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagOrdinaryDifferentialEquationsPackage}{NAGD02} \pagepic{ps/v104nagordinarydifferentialequationspackage.ps}{NAGD02}{1.00} @@ -103495,7 +103498,7 @@ \cross{NAGD02}{d02raf} & \end{tabular} -<>= +\begin{chunk}{package NAGD02 NagOrdinaryDifferentialEquationsPackage} )abbrev package NAGD02 NagOrdinaryDifferentialEquationsPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -103981,16 +103984,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGD02.dotabb} "NAGD02" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGD02"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGD02" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGD03 NagPartialDifferentialEquationsPackage} -<>= +\begin{chunk}{NagPartialDifferentialEquationsPackage.help} D03 -- Partial Differential Equations Introduction -- D03 Chapter D03 @@ -105771,7 +105774,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagPartialDifferentialEquationsPackage}{NAGD03} \pagepic{ps/v104nagpartialdifferentialequationspackage.ps}{NAGD03}{1.00} @@ -105782,7 +105785,7 @@ \cross{NAGD03}{d03faf} \end{tabular} -<>= +\begin{chunk}{package NAGD03 NagPartialDifferentialEquationsPackage} )abbrev package NAGD03 NagPartialDifferentialEquationsPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -105942,16 +105945,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGD03.dotabb} "NAGD03" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGD03"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGD03" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGC02 NagPolynomialRootsPackage} -<>= +\begin{chunk}{NagPolynomialRootsPackage.help} C02(3NAG) Foundation Library (12/10/92) C02(3NAG) @@ -106629,7 +106632,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagPolynomialRootsPackage}{NAGC02} \pagepic{ps/v104nagpolynomialrootspackage.ps}{NAGC02}{1.00} @@ -106639,7 +106642,7 @@ \cross{NAGC02}{c02agf} \end{tabular} -<>= +\begin{chunk}{package NAGC02 NagPolynomialRootsPackage} )abbrev package NAGC02 NagPolynomialRootsPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -106711,16 +106714,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGC02.dotabb} "NAGC02" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGC02"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGC02" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGC05 NagRootFindingPackage} -<>= +\begin{chunk}{NagRootFindingPackage.help} C05(3NAG) Foundation Library (12/10/92) C05(3NAG) @@ -107544,7 +107547,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagRootFindingPackage}{NAGC05} \pagepic{ps/v104nagrootfindingpackage.ps}{NAGC05}{1.00} @@ -107555,7 +107558,7 @@ \cross{NAGC05}{c05pbf} \end{tabular} -<>= +\begin{chunk}{package NAGC05 NagRootFindingPackage} )abbrev package NAGC05 NagRootFindingPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -107677,16 +107680,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGC05.dotabb} "NAGC05" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGC05"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGC05" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGC06 NagSeriesSummationPackage} -<>= +\begin{chunk}{NagSeriesSummationPackage.help} C06(3NAG) Foundation Library (12/10/92) C06(3NAG) @@ -109892,7 +109895,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagSeriesSummationPackage}{NAGC06} \pagepic{ps/v104nagseriessummationpackage.ps}{NAGC06}{1.00} @@ -109912,7 +109915,7 @@ \cross{NAGC06}{c06gsf} &&& \end{tabular} -<>= +\begin{chunk}{package NAGC06 NagSeriesSummationPackage} )abbrev package NAGC06 NagSeriesSummationPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -110209,16 +110212,16 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGC06.dotabb} "NAGC06" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGC06"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGC06" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NAGS NagSpecialFunctionsPackage} -<>= +\begin{chunk}{NagSpecialFunctionsPackage.help} S -- Approximations of Special Functions Introduction -- S Chapter S @@ -117499,7 +117502,7 @@ all example programs is distributed with the NAG Foundation Library software and should be available on-line. -@ +\end{chunk} \pagehead{NagSpecialFunctionsPackage}{NAGS} \pagepic{ps/v104nagspecialfunctionspackage.ps}{NAGS}{1.00} @@ -117545,7 +117548,7 @@ \cross{NAGS}{s21bdf} && \end{tabular} -<>= +\begin{chunk}{package NAGS NagSpecialFunctionsPackage} )abbrev package NAGS NagSpecialFunctionsPackage ++ Author: Godfrey Nolan and Mike Dewar ++ Date Created: Jan 1994 @@ -118323,13 +118326,13 @@ @List Any]$Lisp)$Lisp)_ pretend List (Record(key:Symbol,entry:Any))]$Result -@ -<>= +\end{chunk} +\begin{chunk}{NAGS.dotabb} "NAGS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NAGS"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NAGS" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NSUP2 NewSparseUnivariatePolynomialFunctions2} \pagehead{NewSparseUnivariatePolynomialFunctions2}{NSUP2} @@ -118338,7 +118341,7 @@ {\bf Exports:}\\ \cross{NSUP2}{map} -<>= +\begin{chunk}{package NSUP2 NewSparseUnivariatePolynomialFunctions2} )abbrev package NSUP2 NewSparseUnivariatePolynomialFunctions2 ++ Author: ++ Date Created: @@ -118365,15 +118368,15 @@ map(f, p) == map(f, p)$UnivariatePolynomialCategoryFunctions2(R, NewSparseUnivariatePolynomial R, S, NewSparseUnivariatePolynomial S) -@ -<>= +\end{chunk} +\begin{chunk}{NSUP2.dotabb} "NSUP2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NSUP2"] "LMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LMODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "NSUP2" -> "LMODULE" "NSUP2" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NEWTON NewtonInterpolation} \pagehead{NewtonInterpolation}{NEWTON} @@ -118382,7 +118385,7 @@ {\bf Exports:}\\ \cross{NEWTON}{newton} -<>= +\begin{chunk}{package NEWTON NewtonInterpolation} )abbrev package NEWTON NewtonInterpolation ++ Description: ++ This package exports Newton interpolation for the special case where the @@ -118420,16 +118423,16 @@ newton yl == newtonAux(1$F, 1$F, yl) -@ -<>= +\end{chunk} +\begin{chunk}{NEWTON.dotabb} "NEWTON" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NEWTON"] "ALGEBRA" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ALGEBRA"] "NEWTON" -> "ALGEBRA" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NPOLYGON NewtonPolygon} -<>= +\begin{chunk}{NewtonPolygon.input} )set break resume )sys rm -f NewtonPolygon.output )spool NewtonPolygon.output @@ -118455,8 +118458,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{NewtonPolygon.help} ==================================================================== NewtonPolygon examples ==================================================================== @@ -118464,7 +118467,7 @@ See Also: o )show NewtonPolygon -@ +\end{chunk} \pagehead{NewtonPolygon}{NPOLYGON} \pagepic{ps/v104newtonpolygon.eps}{NPOLYGON}{1.00} @@ -118476,7 +118479,7 @@ \cross{NPOLYGON}{slope} \end{tabular} -<>= +\begin{chunk}{package NPOLYGON NewtonPolygon} )abbrev package NPOLYGON NewtonPolygon ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -118684,13 +118687,13 @@ polgRest:= localNewtonPolygon rest lpol consBondary( lt , polgRest ) -@ -<>= +\end{chunk} +\begin{chunk}{NPOLYGON.dotabb} "NPOLYGON" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NPOLYGON"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "NPOLYGON" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NCODIV NonCommutativeOperatorDivision} \pagehead{NonCommutativeOperatorDivision}{NCODIV} @@ -118706,7 +118709,7 @@ \cross{NCODIV}{leftExactQuotient} \end{tabular} -<>= +\begin{chunk}{package NCODIV NonCommutativeOperatorDivision} )abbrev package NCODIV NonCommutativeOperatorDivision ++ Author: Jean Della Dora, Stephen M. Watt ++ Date Created: 1986 @@ -118800,13 +118803,13 @@ (u, v) := (u*qr.quotient+v, u) b0*u -@ -<>= +\end{chunk} +\begin{chunk}{NCODIV.dotabb} "NCODIV" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NCODIV"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "NCODIV" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NONE1 NoneFunctions1} \pagehead{NoneFunctions1}{NONE1} @@ -118815,7 +118818,7 @@ {\bf Exports:}\\ \cross{NONE1}{coerce} -<>= +\begin{chunk}{package NONE1 NoneFunctions1} )abbrev package NONE1 NoneFunctions1 ++ Author: ++ Date Created: @@ -118839,13 +118842,13 @@ Implementation ==> add coerce(s:S):None == s pretend None -@ -<>= +\end{chunk} +\begin{chunk}{NONE1.dotabb} "NONE1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NONE1"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "NONE1" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NODE1 NonLinearFirstOrderODESolver} \pagehead{NonLinearFirstOrderODESolver}{NODE1} @@ -118854,7 +118857,7 @@ {\bf Exports:}\\ \cross{NODE1}{solve} -<>= +\begin{chunk}{package NODE1 NonLinearFirstOrderODESolver} )abbrev package NODE1 NonLinearFirstOrderODESolver ++ Author: Manuel Bronstein ++ Date Created: 2 September 1991 @@ -119004,13 +119007,13 @@ or empty?(bas := (gsol::SOL).basis) => "failed" differentiate(first bas, x) / (l3 * first bas) -@ -<>= +\end{chunk} +\begin{chunk}{NODE1.dotabb} "NODE1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NODE1"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "NODE1" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NLINSOL NonLinearSolvePackage} \pagehead{NonLinearSolvePackage}{NLINSOL} @@ -119022,7 +119025,7 @@ \cross{NLINSOL}{solveInField} \end{tabular} -<>= +\begin{chunk}{package NLINSOL NonLinearSolvePackage} )abbrev package NLINSOL NonLinearSolvePackage ++ Author: Manuel Bronstein ++ Date Created: 31 October 1991 @@ -119120,13 +119123,13 @@ (not(R has RetractableTo Z)) then solveInField(lp, lv) == solve([p::F for p in lp]$List(F), lv)$SSP(R) -@ -<>= +\end{chunk} +\begin{chunk}{NLINSOL.dotabb} "NLINSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NLINSOL"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "NLINSOL" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NORMPK NormalizationPackage} \pagehead{NormalizationPackage}{NORMPK} @@ -119141,7 +119144,7 @@ \cross{NORMPK}{recip} \end{tabular} -<>= +\begin{chunk}{package NORMPK NormalizationPackage} )abbrev package NORMPK NormalizationPackage ++ Author: Marc Moreno Maza ++ Date Created: 09/23/1998 @@ -119337,13 +119340,13 @@ lpwt := concat(normalize(q,us)@(List PWT),lpwt) lpwt -@ -<>= +\end{chunk} +\begin{chunk}{NORMPK.dotabb} "NORMPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NORMPK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "NORMPK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NORMMA NormInMonogenicAlgebra} \pagehead{NormInMonogenicAlgebra}{NORMMA} @@ -119352,7 +119355,7 @@ {\bf Exports:}\\ \cross{NORMMA}{norm} -<>= +\begin{chunk}{package NORMMA NormInMonogenicAlgebra} )abbrev package NORMMA NormInMonogenicAlgebra ++ Author: Manuel Bronstein ++ Date Created: 23 February 1995 @@ -119390,13 +119393,13 @@ q := reductum q primitivePart resultant(p, defpol) -@ -<>= +\end{chunk} +\begin{chunk}{NORMMA.dotabb} "NORMMA" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NORMMA"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "NORMMA" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NORMRETR NormRetractPackage} \pagehead{NormRetractPackage}{NORMRETR} @@ -119409,7 +119412,7 @@ \cross{NORMRETR}{retractIfCan} \end{tabular} -<>= +\begin{chunk}{package NORMRETR NormRetractPackage} )abbrev package NORMRETR NormRetractPackage ++ Description: ++ This package has no description @@ -119463,15 +119466,15 @@ ff:=reductum ff fft -@ -<>= +\end{chunk} +\begin{chunk}{NORMRETR.dotabb} "NORMRETR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NORMRETR"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "NORMRETR" -> "FAXF" "NORMRETR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NPCOEF NPCoef} \pagehead{NPCoef}{NPCOEF} @@ -119483,7 +119486,7 @@ \cross{NPCOEF}{npcoef} \end{tabular} -<>= +\begin{chunk}{package NPCOEF NPCoef} )abbrev package NPCOEF NPCoef ++ Author : P.Gianni, revised May 1990 ++ Description: @@ -119640,13 +119643,13 @@ constructp(lterm:VTerm):USP == +/[monomial(term.pcoef,term.expt) for term in lterm] -@ -<>= +\end{chunk} +\begin{chunk}{NPCOEF.dotabb} "NPCOEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NPCOEF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "NPCOEF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NFINTBAS NumberFieldIntegralBasis} \pagehead{NumberFieldIntegralBasis}{NFINTBAS} @@ -119659,7 +119662,7 @@ \cross{NFINTBAS}{localIntegralBasis} \end{tabular} -<>= +\begin{chunk}{package NFINTBAS NumberFieldIntegralBasis} )abbrev package NFINTBAS NumberFieldIntegralBasis ++ Author: Victor Miller, Clifton Williamson ++ Date Created: 9 April 1990 @@ -119887,13 +119890,13 @@ index := ((rbden ** rank()$F) exquo (determinant rb)) :: Integer (disc exquo (index * index)) :: Integer -@ -<>= +\end{chunk} +\begin{chunk}{NFINTBAS.dotabb} "NFINTBAS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NFINTBAS"] "FRAMALG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FRAMALG"] "NFINTBAS" -> "FRAMALG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NUMFMT NumberFormats} \pagehead{NumberFormats}{NUMFMT} @@ -119909,7 +119912,7 @@ \cross{NUMFMT}{ScanRoman} && \end{tabular} -<>= +\begin{chunk}{package NUMFMT NumberFormats} )abbrev package NUMFMT NumberFormats ++ SMW March 88 ++ Keywords: string manipulation, roman numerals, format @@ -119975,7 +119978,7 @@ ScanFloatIgnoreSpaces s == s := contract s not check s => error "Non-numeric value" - sex := interpret(packageTran(ncParseFromString(s)$Lisp)$Lisp)$Lisp + sex := interpret(ncParseFromString(s)$Lisp)$Lisp sCheck := car(car(sex)) if (sCheck=sexfloat) = true then f := (cdr cdr sex) pretend Float @@ -119989,7 +119992,7 @@ ScanFloatIgnoreSpacesIfCan s == s := contract s not check s => "failed" - sex := interpret(packageTran(ncParseFromString(s)$Lisp)$Lisp)$Lisp + sex := interpret(ncParseFromString(s)$Lisp)$Lisp sCheck := car(car(sex)) if (sCheck=sexfloat) = true then f := (cdr cdr sex) pretend Float @@ -120101,13 +120104,13 @@ tot < 0 => error ["Improper Roman numeral: ", tot] tot::PI -@ -<>= +\end{chunk} +\begin{chunk}{NUMFMT.dotabb} "NUMFMT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NUMFMT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NUMFMT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NTPOLFN NumberTheoreticPolynomialFunctions} \pagehead{NumberTheoreticPolynomialFunctions}{NTPOLFN} @@ -120120,7 +120123,7 @@ \cross{NTPOLFN}{eulerE} \end{tabular} -<>= +\begin{chunk}{package NTPOLFN NumberTheoreticPolynomialFunctions} )abbrev package NTPOLFN NumberTheoreticPolynomialFunctions ++ Author: Stephen M. Watt ++ Date Created: 1990 @@ -120188,13 +120191,13 @@ r := c*x**d + r r -@ -<>= +\end{chunk} +\begin{chunk}{NTPOLFN.dotabb} "NTPOLFN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NTPOLFN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "NTPOLFN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NUMERIC Numeric} \pagehead{Numeric}{NUMERIC} @@ -120209,7 +120212,7 @@ \cross{NUMERIC}{numericIfCan} \end{tabular} -<>= +\begin{chunk}{package NUMERIC Numeric} )abbrev package NUMERIC Numeric ++ Author: Manuel Bronstein ++ Date Created: 21 Feb 1990 @@ -120643,13 +120646,13 @@ error "Cannot compute the numerical value of a non-constant expression" ans -@ -<>= +\end{chunk} +\begin{chunk}{NUMERIC.dotabb} "NUMERIC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NUMERIC"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "NUMERIC" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NUMODE NumericalOrdinaryDifferentialEquations} \pagehead{NumericalOrdinaryDifferentialEquations}{NUMODE} @@ -120664,7 +120667,7 @@ \cross{NUMODE}{rk4qc} \end{tabular} -<>= +\begin{chunk}{package NUMODE NumericalOrdinaryDifferentialEquations} )abbrev package NUMODE NumericalOrdinaryDifferentialEquations ++ Author: Yurij Baransky ++ Date Created: October 90 @@ -121018,13 +121021,13 @@ for i in 1..m repeat yout(i) := y(i) + h6*( dydx(i) + 2.0*dym(i) + dyt(i) ) -@ -<>= +\end{chunk} +\begin{chunk}{NUMODE.dotabb} "NUMODE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NUMODE"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "NUMODE" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NUMQUAD NumericalQuadrature} \pagehead{NumericalQuadrature}{NUMQUAD} @@ -121043,7 +121046,7 @@ \cross{NUMQUAD}{trapezoidalo} & \end{tabular} -<>= +\begin{chunk}{package NUMQUAD NumericalQuadrature} )abbrev package NUMQUAD NumericalQuadrature ++ Author: Yurij A. Baransky ++ Date Created: October 90 @@ -121589,13 +121592,13 @@ x := x + del return( (oldsum/3.0 + sum*del) ) -@ -<>= +\end{chunk} +\begin{chunk}{NUMQUAD.dotabb} "NUMQUAD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NUMQUAD"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "NUMQUAD" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NCEP NumericComplexEigenPackage} \pagehead{NumericComplexEigenPackage}{NCEP} @@ -121608,7 +121611,7 @@ \cross{NCEP}{complexEigenvectors} \end{tabular} -<>= +\begin{chunk}{package NCEP NumericComplexEigenPackage} )abbrev package NCEP NumericComplexEigenPackage ++ Author: P. Gianni ++ Date Created: Summer 1990 @@ -121688,13 +121691,13 @@ complexEigenvectors(m:MGRN,eps:Par) :List outForm == innerEigenvectors(m,eps,factor$ComplexFactorization(RN,SUPGRN)) -@ -<>= +\end{chunk} +\begin{chunk}{NCEP.dotabb} "NCEP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NCEP"] "COMPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=COMPCAT"] "NCEP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NCNTFRAC NumericContinuedFraction} \pagehead{NumericContinuedFraction}{NCNTFRAC} @@ -121703,7 +121706,7 @@ {\bf Exports:}\\ \cross{NCNTFRAC}{continuedFraction} -<>= +\begin{chunk}{package NCNTFRAC NumericContinuedFraction} )abbrev package NCNTFRAC NumericContinuedFraction ++ Author: Clifton J. Williamson ++ Date Created: 12 April 1990 @@ -121744,15 +121747,15 @@ if negative? b then (aa := aa - 1; b := b + 1) reducedContinuedFraction(aa,cfc inv b) -@ -<>= +\end{chunk} +\begin{chunk}{NCNTFRAC.dotabb} "NCNTFRAC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NCNTFRAC"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "NCNTFRAC" -> "FIELD" "NCNTFRAC" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NREP NumericRealEigenPackage} \pagehead{NumericRealEigenPackage}{NREP} @@ -121765,7 +121768,7 @@ \cross{NREP}{realEigenvectors} \end{tabular} -<>= +\begin{chunk}{package NREP NumericRealEigenPackage} )abbrev package NREP NumericRealEigenPackage ++ Author:P. Gianni ++ Date Created:Summer 1990 @@ -121843,13 +121846,13 @@ realEigenvectors(m:MRN,eps:Par) :List outForm == innerEigenvectors(m,eps,factor$GenUFactorize(RN)) -@ -<>= +\end{chunk} +\begin{chunk}{NREP.dotabb} "NREP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NREP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "NREP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package NUMTUBE NumericTubePlot} \pagehead{NumericTubePlot}{NUMTUBE} @@ -121858,7 +121861,7 @@ {\bf Exports:}\\ \cross{NUMTUBE}{tube} -<>= +\begin{chunk}{package NUMTUBE NumericTubePlot} )abbrev package NUMTUBE NumericTubePlot ++ Author: Clifton J. Williamson ++ Date Created: Bastille Day 1989 @@ -121958,8 +121961,8 @@ loops := concat(loops,curveLoops(bran,r,n)) tube(curve,loops,false) -@ -<>= +\end{chunk} +\begin{chunk}{NUMTUBE.dotabb} "NUMTUBE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=NUMTUBE"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] @@ -121970,7 +121973,7 @@ "NUMTUBE" -> "FLAGG" "NUMTUBE" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter O} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -121981,7 +121984,7 @@ {\bf Exports:}\\ \cross{OCTCT2}{map} -<>= +\begin{chunk}{package OCTCT2 OctonionCategoryFunctions2} )abbrev package OCTCT2 OctonionCategoryFunctions2 ++ Author: Johannes Grabmeier ++ Date Created: 10 September 1990 @@ -122012,13 +122015,13 @@ octon(fn real u, fn imagi u, fn imagj u, fn imagk u,_ fn imagE u, fn imagI u, fn imagJ u, fn imagK u)$OS -@ -<>= +\end{chunk} +\begin{chunk}{OCTCT2.dotabb} "OCTCT2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OCTCT2"] "OC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OC"] "OCTCT2" -> "OC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODEINT ODEIntegration} \pagehead{ODEIntegration}{ODEINT} @@ -122031,7 +122034,7 @@ \cross{ODEINT}{int} \end{tabular} -<>= +\begin{chunk}{package ODEINT ODEIntegration} )abbrev package ODEINT ODEIntegration ++ Author: Manuel Bronstein ++ Date Created: 4 November 1991 @@ -122122,13 +122125,13 @@ "failed" "failed" -@ -<>= +\end{chunk} +\begin{chunk}{ODEINT.dotabb} "ODEINT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODEINT"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "ODEINT" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODETOOLS ODETools} \pagehead{ODETools}{ODETOOLS} @@ -122141,7 +122144,7 @@ \cross{ODETOOLS}{wronskianMatrix} \end{tabular} -<>= +\begin{chunk}{package ODETOOLS ODETools} )abbrev package ODETOOLS ODETools ++ Author: Manuel Bronstein ++ Date Created: 20 March 1991 @@ -122208,13 +122211,13 @@ ans := ans + integration(qelt(s, i)) * f ans -@ -<>= +\end{chunk} +\begin{chunk}{ODETOOLS.dotabb} "ODETOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODETOOLS"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "ODETOOLS" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ARRAY12 OneDimensionalArrayFunctions2} \pagehead{OneDimensionalArrayFunctions2}{ARRAY12} @@ -122227,7 +122230,7 @@ \cross{ARRAY12}{scan} \end{tabular} -<>= +\begin{chunk}{package ARRAY12 OneDimensionalArrayFunctions2} )abbrev package ARRAY12 OneDimensionalArrayFunctions2 ++ Description: ++ This package provides tools for operating on one-dimensional arrays @@ -122278,13 +122281,13 @@ scan(f, v, b) == scan(f, v, b)$O2 reduce(f, v, b) == reduce(f, v, b)$O2 -@ -<>= +\end{chunk} +\begin{chunk}{ARRAY12.dotabb} "ARRAY12" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ARRAY12"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "ARRAY12" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ONECOMP2 OnePointCompletionFunctions2} \pagehead{OnePointCompletionFunctions2}{ONECOMP2} @@ -122293,7 +122296,7 @@ {\bf Exports:}\\ \cross{ONECOMP2}{map} -<>= +\begin{chunk}{package ONECOMP2 OnePointCompletionFunctions2} )abbrev package ONECOMP2 OnePointCompletionFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 4 Oct 1989 @@ -122322,15 +122325,15 @@ (u := retractIfCan r) case R => (f(u::R))::OPS i -@ -<>= +\end{chunk} +\begin{chunk}{ONECOMP2.dotabb} "ONECOMP2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ONECOMP2"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "ONECOMP2" -> "BASTYPE" "ONECOMP2" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OMPKG OpenMathPackage} \pagehead{OpenMathPackage}{OMPKG} @@ -122348,7 +122351,7 @@ \cross{OMPKG}{OMunhandledSymbol} && \end{tabular} -<>= +\begin{chunk}{package OMPKG OpenMathPackage} )abbrev package OMPKG OpenMathPackage ++ Author: Vilya Harvey ++ Date Created: @@ -122425,13 +122428,13 @@ OMsupportsSymbol?(cd: String, name: String): Boolean == not null? OM_-SUPPORTSSYMBOL(cd, name)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{OMPKG.dotabb} "OMPKG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OMPKG"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "OMPKG" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OMSERVER OpenMathServerPackage} \pagehead{OpenMathServerPackage}{OMSERVER} @@ -122444,7 +122447,7 @@ \cross{OMSERVER}{OMserve} \end{tabular} -<>= +\begin{chunk}{package OMSERVER OpenMathServerPackage} )abbrev package OMSERVER OpenMathServerPackage ++ Author: Vilya Harvey ++ Date Created: @@ -122509,13 +122512,13 @@ val := OMreceive(conn) OMsend(conn, val) -@ -<>= +\end{chunk} +\begin{chunk}{OMSERVER.dotabb} "OMSERVER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OMSERVER"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "OMSERVER" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OPQUERY OperationsQuery} \pagehead{OperationsQuery}{OPQUERY} @@ -122524,7 +122527,7 @@ {\bf Exports:}\\ \cross{OPQUERY}{getDatabase} -<>= +\begin{chunk}{package OPQUERY OperationsQuery} )abbrev package OPQUERY OperationsQuery ++ Description: ++ This package exports tools to create AXIOM Library information databases. @@ -122538,13 +122541,13 @@ Implementation == add getDatabase(s) == getBrowseDatabase(s)$Lisp -@ -<>= +\end{chunk} +\begin{chunk}{OPQUERY.dotabb} "OPQUERY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OPQUERY"] "ORDSET" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ORDSET"] "OPQUERY" -> "ORDSET" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ORDCOMP2 OrderedCompletionFunctions2} \pagehead{OrderedCompletionFunctions2}{ORDCOMP2} @@ -122553,7 +122556,7 @@ {\bf Exports:}\\ \cross{ORDCOMP2}{map} -<>= +\begin{chunk}{package ORDCOMP2 OrderedCompletionFunctions2} )abbrev package ORDCOMP2 OrderedCompletionFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 4 Oct 1989 @@ -122585,15 +122588,15 @@ (n = 1) => p m -@ -<>= +\end{chunk} +\begin{chunk}{ORDCOMP2.dotabb} "ORDCOMP2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ORDCOMP2"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "ORDCOMP2" -> "BASTYPE" "ORDCOMP2" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ORDFUNS OrderingFunctions} \pagehead{OrderingFunctions}{ORDFUNS} @@ -122606,7 +122609,7 @@ \cross{ORDFUNS}{totalLex} \end{tabular} -<>= +\begin{chunk}{package ORDFUNS OrderingFunctions} )abbrev package ORDFUNS OrderingFunctions ++ Author: Barry Trager ++ Date Created: @@ -122677,13 +122680,13 @@ if qelt(v1,i) < qelt(v2,i) then return false false -@ -<>= +\end{chunk} +\begin{chunk}{ORDFUNS.dotabb} "ORDFUNS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ORDFUNS"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "ORDFUNS" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ORTHPOL OrthogonalPolynomialFunctions} \pagehead{OrthogonalPolynomialFunctions}{ORTHPOL} @@ -122699,7 +122702,7 @@ \cross{ORTHPOL}{legendreP} \end{tabular} -<>= +\begin{chunk}{package ORTHPOL OrthogonalPolynomialFunctions} )abbrev package ORTHPOL OrthogonalPolynomialFunctions ++ Author: Stephen M. Watt ++ Date Created: 1990 @@ -122802,15 +122805,15 @@ (p1, p0) := (c*((2*i+1)*x*p1 - i*p0), p1) p1 -@ -<>= +\end{chunk} +\begin{chunk}{ORTHPOL.dotabb} "ORTHPOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ORTHPOL"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "ORTHPOL" -> "PID" "ORTHPOL" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OUT OutputPackage} \pagehead{OutputPackage}{OUT} @@ -122822,7 +122825,7 @@ \cross{OUT}{outputList} \end{tabular} -<>= +\begin{chunk}{package OUT OutputPackage} )abbrev package OUT OutputPackage ++ Author: Stephen M. Watt ++ Date Created: February 1986 @@ -122878,18 +122881,18 @@ x::OutputForm for x in l] -@ -<>= +\end{chunk} +\begin{chunk}{OUT.dotabb} "OUT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OUT"] "Package" [color="#FF4488"] "OUT" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter P} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PAFF PackageForAlgebraicFunctionField} -<>= +\begin{chunk}{PackageForAlgebraicFunctionField.input} )set break resume )sys rm -f PackageForAlgebraicFunctionField.output )spool PackageForAlgebraicFunctionField.output @@ -122949,8 +122952,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PackageForAlgebraicFunctionField.help} ==================================================================== PackageForAlgebraicFunctionField examples ==================================================================== @@ -122958,7 +122961,7 @@ See Also: o )show PackageForAlgebraicFunctionField -@ +\end{chunk} \pagehead{PackageForAlgebraicFunctionField}{PAFF} \pagepic{ps/v104packageforalgebraicfunctionfield.eps}{PAFF}{1.00} @@ -123000,7 +123003,7 @@ \end{tabular} -<>= +\begin{chunk}{package PAFF PackageForAlgebraicFunctionField} )abbrev package PAFF PackageForAlgebraicFunctionField ++ Author: Gaetan Hache ++ Date created: June 1995 @@ -123280,18 +123283,18 @@ fullOutput()$InfClsPoint => fullOutput(false())$InfClsPoint fullOutput(true())$InfClsPoint -@ -<>= +\end{chunk} +\begin{chunk}{PAFF.dotabb} "PAFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PAFF"] "PAFFFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PAFFFF"] "INFCLSPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INFCLSPS"] "PAFF" -> "PAFFFF" "PAFF" -> "INFCLSPS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PAFFFF PackageForAlgebraicFunctionFieldOverFiniteField} -<>= +\begin{chunk}{PackageForAlgebraicFunctionFieldOverFiniteField.input} )set break resume )sys rm -f PackageForAlgebraicFunctionFieldOverFiniteField.output )spool PackageForAlgebraicFunctionFieldOverFiniteField.output @@ -123352,8 +123355,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PackageForAlgebraicFunctionFieldOverFiniteField.help} ==================================================================== PackageForAlgebraicFunctionFieldOverFiniteField examples ==================================================================== @@ -123361,7 +123364,7 @@ See Also: o )show PackageForAlgebraicFunctionFieldOverFiniteField -@ +\end{chunk} \pagehead{PackageForAlgebraicFunctionFieldOverFiniteField}{PAFFFF} \pagepic{ps/v104packageforalgebraicfunctionfieldoverfinitefield.eps}{PAFFFF}{1.00} @@ -123403,7 +123406,7 @@ \cross{PAFFFF}{ZetaFunction} && \end{tabular} -<>= +\begin{chunk}{package PAFFFF PackageForAlgebraicFunctionFieldOverFiniteField} )abbrev package PAFFFF PackageForAlgebraicFunctionFieldOverFiniteField ++ Author: Gaetan Hache ++ Date created: June 1995 @@ -123740,18 +123743,18 @@ fullOutput(true())$InfClsPoint -@ -<>= +\end{chunk} +\begin{chunk}{PAFFFF.dotabb} "PAFFFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PAFFFF"] "PAFF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PAFF"] "INFCLSPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=INFCLSPS"] "PAFFFF" -> "PAFF" "PAFFFF" -> "INFCLSPS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFORP PackageForPoly} -<>= +\begin{chunk}{PackageForPoly.input} )set break resume )sys rm -f PackageForPoly.output )spool PackageForPoly.output @@ -123791,8 +123794,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PackageForPoly.help} ==================================================================== PackageForPoly examples ==================================================================== @@ -123800,7 +123803,7 @@ See Also: o )show PackageForPoly -@ +\end{chunk} \pagehead{PackageForPoly}{PFORP} \pagepic{ps/v104packageforpoly.eps}{PFORP}{1.00} @@ -123828,7 +123831,7 @@ \cross{PFORP}{univariate} & \end{tabular} -<>= +\begin{chunk}{package PFORP PackageForPoly} )abbrev package PFORP PackageForPoly ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -124122,13 +124125,13 @@ [monomial(1,e)$PolyRing for e in listAllMonoExp(l)] -@ -<>= +\end{chunk} +\begin{chunk}{PFORP.dotabb} "PFORP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFORP"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PFORP" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PADEPAC PadeApproximantPackage} \pagehead{PadeApproximantPackage}{PADEPAC} @@ -124137,7 +124140,7 @@ {\bf Exports:}\\ \cross{PADEPAC}{pade} -<>= +\begin{chunk}{package PADEPAC PadeApproximantPackage} )abbrev package PADEPAC PadeApproximantPackage ++ Authors: Trager,Burge, Hassner & Watt. ++ Date Created: April 1987 @@ -124187,13 +124190,13 @@ num/den pade(n,m,u) == pade(n,m,u,1) -@ -<>= +\end{chunk} +\begin{chunk}{PADEPAC.dotabb} "PADEPAC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PADEPAC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PADEPAC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PADE PadeApproximants} \pagehead{PadeApproximants}{PADE} @@ -124205,7 +124208,7 @@ \cross{PADE}{padecf} \end{tabular} -<>= +\begin{chunk}{package PADE PadeApproximants} )abbrev package PADE PadeApproximants ++ Authors: Burge, Hassner & Watt. ++ Date Created: April 1987 @@ -124346,13 +124349,13 @@ d := truncPoly(h,degbd) (l,m) := (m,(l-alpha) :: NNI) -@ -<>= +\end{chunk} +\begin{chunk}{PADE.dotabb} "PADE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PADE"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "PADE" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PWFFINTB PAdicWildFunctionFieldIntegralBasis} \pagehead{PAdicWildFunctionFieldIntegralBasis}{PWFFINTB} @@ -124365,7 +124368,7 @@ \cross{PWFFINTB}{localIntegralBasis} \end{tabular} -<>= +\begin{chunk}{package PWFFINTB PAdicWildFunctionFieldIntegralBasis} )abbrev package PWFFINTB PAdicWildFunctionFieldIntegralBasis ++ Author: Clifton Williamson ++ Date Created: 5 July 1993 @@ -124610,13 +124613,13 @@ runningRbinv := UpTriBddDenomInv(runningRb,runningRbden) [runningRb, runningRbden, runningRbinv] -@ -<>= +\end{chunk} +\begin{chunk}{PWFFINTB.dotabb} "PWFFINTB" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PWFFINTB"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "PWFFINTB" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package YSTREAM ParadoxicalCombinatorsForStreams} \pagehead{ParadoxicalCombinatorsForStreams}{YSTREAM} @@ -124625,7 +124628,7 @@ {\bf Exports:}\\ \cross{YSTREAM}{Y} -<>= +\begin{chunk}{package YSTREAM ParadoxicalCombinatorsForStreams} )abbrev package YSTREAM ParadoxicalCombinatorsForStreams ++ Author: Burge, Watt (revised by Williamson) ++ Date Created: 1986 @@ -124667,13 +124670,13 @@ RPLACD(xi,rst ji)$Lisp x -@ -<>= +\end{chunk} +\begin{chunk}{YSTREAM.dotabb} "YSTREAM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=YSTREAM"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "YSTREAM" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PLEQN ParametricLinearEquations} \pagehead{ParametricLinearEquations}{PLEQN} @@ -124733,7 +124736,7 @@ -- passed to be further processed. On the other hand, there is probably -- no penalty in leaving the options as is. \end{verbatim} -<>= +\begin{chunk}{package PLEQN ParametricLinearEquations} )abbrev package PLEQN ParametricLinearEquations ++ Author: William Sit, spring 89 ++ Description: @@ -125341,13 +125344,13 @@ newmat(i,j):=redPol$rp (p,psb) newmat -@ -<>= +\end{chunk} +\begin{chunk}{PLEQN.dotabb} "PLEQN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PLEQN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PLEQN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PARPC2 ParametricPlaneCurveFunctions2} \pagehead{ParametricPlaneCurveFunctions2}{PARPC2} @@ -125356,7 +125359,7 @@ {\bf Exports:}\\ \cross{PARPC2}{map} -<>= +\begin{chunk}{package PARPC2 ParametricPlaneCurveFunctions2} )abbrev package PARPC2 ParametricPlaneCurveFunctions2 ++ Description: ++ This package has no description @@ -125367,13 +125370,13 @@ == add map(f, c) == curve(f coordinate(c,1), f coordinate(c, 2)) -@ -<>= +\end{chunk} +\begin{chunk}{PARPC2.dotabb} "PARPC2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PARPC2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "PARPC2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PARSC2 ParametricSpaceCurveFunctions2} \pagehead{ParametricSpaceCurveFunctions2}{PARSC2} @@ -125382,7 +125385,7 @@ {\bf Exports:}\\ \cross{PARSC2}{map} -<>= +\begin{chunk}{package PARSC2 ParametricSpaceCurveFunctions2} )abbrev package PARSC2 ParametricSpaceCurveFunctions2 ++ Description: ++ This package has no description @@ -125393,13 +125396,13 @@ == add map(f, c) == curve(f coordinate(c,1), f coordinate(c,2), f coordinate(c,3)) -@ -<>= +\end{chunk} +\begin{chunk}{PARSC2.dotabb} "PARSC2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PARSC2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "PARSC2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PARSU2 ParametricSurfaceFunctions2} \pagehead{ParametricSurfaceFunctions2}{PARSU2} @@ -125408,7 +125411,7 @@ {\bf Exports:}\\ \cross{PARSU2}{map} -<>= +\begin{chunk}{package PARSU2 ParametricSurfaceFunctions2} )abbrev package PARSU2 ParametricSurfaceFunctions2 ++ Description: ++ This package has no description @@ -125419,16 +125422,16 @@ == add map(f, c) == surface(f coordinate(c,1), f coordinate(c,2), f coordinate(c,3)) -@ -<>= +\end{chunk} +\begin{chunk}{PARSU2.dotabb} "PARSU2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PARSU2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "PARSU2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PARAMP ParametrizationPackage} -<>= +\begin{chunk}{ParametrizationPackage.input} )set break resume )sys rm -f ParametrizationPackage.output )spool ParametrizationPackage.output @@ -125453,8 +125456,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ParametrizationPackage.help} ==================================================================== ParametrizationPackage examples ==================================================================== @@ -125462,14 +125465,14 @@ See Also: o )show ParametrizationPackage -@ +\end{chunk} \pagehead{ParametrizationPackage}{PARAMP} \pagepic{ps/v104parametrizationpackage.eps}{PARAMP}{1.00} {\bf Exports:}\\ \cross{PARAMP}{parametrize} -<>= +\begin{chunk}{package PARAMP ParametrizationPackage} )abbreviation package PARAMP ParametrizationPackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -125545,18 +125548,18 @@ parametrize(f:PolyRing,pt:Plc,n:Integer)== s:=parametrize(f,pt) shift(s,n) -@ -<>= +\end{chunk} +\begin{chunk}{PARAMP.dotabb} "PARAMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PARAMP"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PARAMP" -> "DIRPCAT" "PARAMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFRPAC PartialFractionPackage} -<>= +\begin{chunk}{PartialFractionPackage.input} )set break resume )spool PartialFractionPackage.output )set message test on @@ -125602,8 +125605,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PartialFractionPackage.help} ==================================================================== PartialFractionPackage examples ==================================================================== @@ -125643,14 +125646,14 @@ See Also: o )show PartialFractionPackage -@ +\end{chunk} \pagehead{PartialFractionPackage}{PFRPAC} \pagepic{ps/v104partialfractionpackage.ps}{PFRPAC}{1.00} {\bf Exports:}\\ \cross{PFRPAC}{partialFraction} -<>= +\begin{chunk}{package PFRPAC PartialFractionPackage} )abbrev package PFRPAC PartialFractionPackage ++ Author: Barry M. Trager ++ Date Created: 1992 @@ -125707,13 +125710,13 @@ pfup:=partialFraction(makeSup(p,v) pretend up,nflist)$PartialFraction(up) coerce(pfup)$AnyFunctions1(PartialFraction up) -@ -<>= +\end{chunk} +\begin{chunk}{PFRPAC.dotabb} "PFRPAC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFRPAC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PFRPAC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PARTPERM PartitionsAndPermutations} \pagehead{PartitionsAndPermutations}{PARTPERM} @@ -125730,7 +125733,7 @@ \cross{PARTPERM}{shufflein} &&& \end{tabular} -<>= +\begin{chunk}{package PARTPERM PartitionsAndPermutations} )abbrev package PARTPERM PartitionsAndPermutations ++ Author: William H. Burge ++ Date Created: 29 October 1987 @@ -125844,13 +125847,13 @@ permutations n == sequences(rpt(n,1),[i for i in 1..n]) -@ -<>= +\end{chunk} +\begin{chunk}{PARTPERM.dotabb} "PARTPERM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PARTPERM"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PARTPERM" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PATTERN1 PatternFunctions1} \pagehead{PatternFunctions1}{PATTERN1} @@ -125865,7 +125868,7 @@ \cross{PATTERN1}{suchThat} \end{tabular} -<>= +\begin{chunk}{package PATTERN1 PatternFunctions1} )abbrev package PATTERN1 PatternFunctions1 ++ Author: Manuel Bronstein ++ Date Created: 28 Nov 1989 @@ -125928,8 +125931,8 @@ suchThat(p:Pattern R, l:List(D -> Boolean)) == st(p, [coerce(f)$A1 for f in l]) -@ -<>= +\end{chunk} +\begin{chunk}{PATTERN1.dotabb} "PATTERN1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PATTERN1"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] @@ -125938,7 +125941,7 @@ "PATTERN1" -> "KOERCE" "PATTERN1" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PATTERN2 PatternFunctions2} \pagehead{PatternFunctions2}{PATTERN2} @@ -125947,7 +125950,7 @@ {\bf Exports:}\\ \cross{PATTERN2}{map} -<>= +\begin{chunk}{package PATTERN2 PatternFunctions2} )abbrev package PATTERN2 PatternFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 28 Nov 1989 @@ -125985,13 +125988,13 @@ sy := retract(p)@Symbol setPredicates(sy::Pattern(S), copy predicates p) -@ -<>= +\end{chunk} +\begin{chunk}{PATTERN2.dotabb} "PATTERN2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PATTERN2"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PATTERN2" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PATMATCH PatternMatch} \pagehead{PatternMatch}{PATMATCH} @@ -126003,7 +126006,7 @@ \cross{PATMATCH}{Is} \end{tabular} -<>= +\begin{chunk}{package PATMATCH PatternMatch} )abbrev package PATMATCH PatternMatch ++ Top-level pattern matching functions ++ Author: Manuel Bronstein @@ -126075,8 +126078,8 @@ else Is(s:Subject,p:Pat):PatternMatchResult(Base,Subject) == ist(s,p) -@ -<>= +\end{chunk} +\begin{chunk}{PATMATCH.dotabb} "PATMATCH" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PATMATCH"] "PATMAB" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PATMAB"] "RETRACT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RETRACT"] @@ -126087,7 +126090,7 @@ "PATMATCH" -> "LMODULE" "PATMATCH" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMASS PatternMatchAssertions} \pagehead{PatternMatchAssertions}{PMASS} @@ -126101,7 +126104,7 @@ \cross{PMASS}{optional} \end{tabular} -<>= +\begin{chunk}{package PMASS PatternMatchAssertions} )abbrev package PMASS PatternMatchAssertions ++ Author: Manuel Bronstein ++ Date Created: 21 Mar 1989 @@ -126136,15 +126139,15 @@ optional x == optional(x::FE) assert(x, s) == assert(x::FE, s) -@ -<>= +\end{chunk} +\begin{chunk}{PMASS.dotabb} "PMASS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMASS"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "PMASS" -> "PID" "PMASS" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMFS PatternMatchFunctionSpace} \pagehead{PatternMatchFunctionSpace}{PMFS} @@ -126153,7 +126156,7 @@ {\bf Exports:}\\ \cross{PMFS}{patternMatch} -<>= +\begin{chunk}{package PMFS PatternMatchFunctionSpace} )abbrev package PMFS PatternMatchFunctionSpace ++ Author: Manuel Bronstein ++ Date Created: 15 Mar 1990 @@ -126226,13 +126229,13 @@ patternMatch((ex::RCX).var, (ep::RCP).val, l) failed() -@ -<>= +\end{chunk} +\begin{chunk}{PMFS.dotabb} "PMFS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMFS"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "PMFS" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMINS PatternMatchIntegerNumberSystem} \pagehead{PatternMatchIntegerNumberSystem}{PMINS} @@ -126241,7 +126244,7 @@ {\bf Exports:}\\ \cross{PMINS}{patternMatch} -<>= +\begin{chunk}{package PMINS PatternMatchIntegerNumberSystem} )abbrev package PMINS PatternMatchIntegerNumberSystem ++ Author: Manuel Bronstein ++ Date Created: 29 Nov 1989 @@ -126318,15 +126321,15 @@ failed() failed() -@ -<>= +\end{chunk} +\begin{chunk}{PMINS.dotabb} "PMINS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMINS"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "PMINS" -> "FLAGG" "PMINS" -> "FLAGG-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTPM PatternMatchIntegration} \pagehead{PatternMatchIntegration}{INTPM} @@ -126340,7 +126343,7 @@ \cross{INTPM}{splitConstant} \end{tabular} -<>= +\begin{chunk}{package INTPM PatternMatchIntegration} )abbrev package INTPM PatternMatchIntegration ++ Author: Manuel Bronstein ++ Date Created: 5 May 1992 @@ -126661,15 +126664,15 @@ suchThat(c, (x1:F):Boolean +-> freeOf?(x1, x))) "failed" -@ -<>= +\end{chunk} +\begin{chunk}{INTPM.dotabb} "INTPM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTPM"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "INTPM" -> "ACF" "INTPM" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMKERNEL PatternMatchKernel} \pagehead{PatternMatchKernel}{PMKERNEL} @@ -126678,7 +126681,7 @@ {\bf Exports:}\\ \cross{PMKERNEL}{patternMatch} -<>= +\begin{chunk}{package PMKERNEL PatternMatchKernel} )abbrev package PMKERNEL PatternMatchKernel ++ Author: Manuel Bronstein ++ Date Created: 12 Jan 1990 @@ -126773,13 +126776,13 @@ (u := patternMatchInner(s, p, l)) case PRS => u::PRS failed() -@ -<>= +\end{chunk} +\begin{chunk}{PMKERNEL.dotabb} "PMKERNEL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMKERNEL"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "PMKERNEL" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMLSAGG PatternMatchListAggregate} \pagehead{PatternMatchListAggregate}{PMLSAGG} @@ -126788,7 +126791,7 @@ {\bf Exports:}\\ \cross{PMLSAGG}{patternMatch} -<>= +\begin{chunk}{package PMLSAGG PatternMatchListAggregate} )abbrev package PMLSAGG PatternMatchListAggregate ++ Author: Manuel Bronstein ++ Date Created: 4 Dec 1989 @@ -126832,13 +126835,13 @@ => failed() match(rest l, rest lp, r, new?) -@ -<>= +\end{chunk} +\begin{chunk}{PMLSAGG.dotabb} "PMLSAGG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMLSAGG"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PMLSAGG" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMPLCAT PatternMatchPolynomialCategory} \pagehead{PatternMatchPolynomialCategory}{PMPLCAT} @@ -126847,7 +126850,7 @@ {\bf Exports:}\\ \cross{PMPLCAT}{patternMatch} -<>= +\begin{chunk}{package PMPLCAT PatternMatchPolynomialCategory} )abbrev package PMPLCAT PatternMatchPolynomialCategory ++ Author: Manuel Bronstein ++ Date Created: 9 Jan 1990 @@ -126929,13 +126932,13 @@ vmatch((ex::RCX).var, (ep::RCP).val, l) failed() -@ -<>= +\end{chunk} +\begin{chunk}{PMPLCAT.dotabb} "PMPLCAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMPLCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PMPLCAT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMDOWN PatternMatchPushDown} \pagehead{PatternMatchPushDown}{PMDOWN} @@ -126947,7 +126950,7 @@ \cross{PMDOWN}{patternMatch} \end{tabular} -<>= +\begin{chunk}{package PMDOWN PatternMatchPushDown} )abbrev package PMDOWN PatternMatchPushDown ++ Author: Manuel Bronstein ++ Date Created: 1 Dec 1989 @@ -127045,13 +127048,13 @@ [q, (empty?(ua::List A) => la; insertMatch(q,first(ua::List A), la))] error "Should not happen" -@ -<>= +\end{chunk} +\begin{chunk}{PMDOWN.dotabb} "PMDOWN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMDOWN"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PMDOWN" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMQFCAT PatternMatchQuotientFieldCategory} \pagehead{PatternMatchQuotientFieldCategory}{PMQFCAT} @@ -127060,7 +127063,7 @@ {\bf Exports:}\\ \cross{PMQFCAT}{patternMatch} -<>= +\begin{chunk}{package PMQFCAT PatternMatchQuotientFieldCategory} )abbrev package PMQFCAT PatternMatchQuotientFieldCategory ++ Author: Manuel Bronstein ++ Date Created: 1 Dec 1989 @@ -127096,13 +127099,13 @@ patternMatch(denom x, ur.den, l) failed() -@ -<>= +\end{chunk} +\begin{chunk}{PMQFCAT.dotabb} "PMQFCAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMQFCAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PMQFCAT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PATRES2 PatternMatchResultFunctions2} \pagehead{PatternMatchResultFunctions2}{PATRES2} @@ -127111,7 +127114,7 @@ {\bf Exports:}\\ \cross{PATRES2}{map} -<>= +\begin{chunk}{package PATRES2 PatternMatchResultFunctions2} )abbrev package PATRES2 PatternMatchResultFunctions2 ++ Author: Manuel Bronstein ++ Date Created: 1 Dec 1989 @@ -127135,15 +127138,15 @@ failed? r => failed() construct [[rec.key, f(rec.entry)] for rec in destruct r] -@ -<>= +\end{chunk} +\begin{chunk}{PATRES2.dotabb} "PATRES2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PATRES2"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "PATRES2" -> "BASTYPE" "PATRES2" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMSYM PatternMatchSymbol} \pagehead{PatternMatchSymbol}{PMSYM} @@ -127152,7 +127155,7 @@ {\bf Exports:}\\ \cross{PMSYM}{patternMatch} -<>= +\begin{chunk}{package PMSYM PatternMatchSymbol} )abbrev package PMSYM PatternMatchSymbol ++ Author: Manuel Bronstein ++ Date Created: 9 Jan 1990 @@ -127178,13 +127181,13 @@ failed() failed() -@ -<>= +\end{chunk} +\begin{chunk}{PMSYM.dotabb} "PMSYM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMSYM"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "PMSYM" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PMTOOLS PatternMatchTools} \pagehead{PatternMatchTools}{PMTOOLS} @@ -127196,7 +127199,7 @@ \cross{PMTOOLS}{patternMatchTimes} \end{tabular} -<>= +\begin{chunk}{package PMTOOLS PatternMatchTools} )abbrev package PMTOOLS PatternMatchTools ++ Author: Manuel Bronstein ++ Date Created: 13 Mar 1990 @@ -127360,16 +127363,16 @@ failed() addMatch(first lpm, op ls, l) -@ -<>= +\end{chunk} +\begin{chunk}{PMTOOLS.dotabb} "PMTOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PMTOOLS"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PMTOOLS" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PERMAN Permanent} -<>= +\begin{chunk}{Permanent.input} )set break resume )spool Permanent.output )set message test on @@ -127408,8 +127411,8 @@ --E 3 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{Permanent.help} ==================================================================== Permanent examples ==================================================================== @@ -127444,14 +127447,14 @@ See Also: o )show Permanent -@ +\end{chunk} \pagehead{Permanent}{PERMAN} \pagepic{ps/v104permanent.ps}{PERMAN}{1.00} {\bf Exports:}\\ \cross{PERMAN}{permanent} -<>= +\begin{chunk}{package PERMAN Permanent} )abbrev package PERMAN Permanent ++ Authors: Johannes Grabmeier, Oswald Gschnitzer ++ Date Created: 7 August 1989 @@ -127637,13 +127640,13 @@ b := two ** ((n-1):NNI) (a exquo b) :: R -@ -<>= +\end{chunk} +\begin{chunk}{PERMAN.dotabb} "PERMAN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PERMAN"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "PERMAN" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PGE PermutationGroupExamples} \pagehead{PermutationGroupExamples}{PGE} @@ -127666,7 +127669,7 @@ \cross{PGE}{youngGroup} && \end{tabular} -<>= +\begin{chunk}{package PGE PermutationGroupExamples} )abbrev package PGE PermutationGroupExamples ++ Authors: M. Weller, G. Schneider, J. Grabmeier ++ Date Created: 20 February 1990 @@ -128038,13 +128041,13 @@ n = 2 => llli2gp [[[1,2]],[[3,4]]] dihedralGroup li1n n -@ -<>= +\end{chunk} +\begin{chunk}{PGE.dotabb} "PGE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PGE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PGE" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PICOERCE PiCoercions} \pagehead{PiCoercions}{PICOERCE} @@ -128053,7 +128056,7 @@ {\bf Exports:}\\ \cross{PICOERCE}{coerce} -<>= +\begin{chunk}{package PICOERCE PiCoercions} )abbrev package PICOERCE PiCoercions ++ Author: Manuel Bronstein ++ Date Created: 21 Feb 1990 @@ -128077,13 +128080,13 @@ $SparseUnivariatePolynomialFunctions2(Integer, Expression R)_ (pi()$Expression(R)) -@ -<>= +\end{chunk} +\begin{chunk}{PICOERCE.dotabb} "PICOERCE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PICOERCE"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "PICOERCE" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PLOT1 PlotFunctions1} \pagehead{PlotFunctions1}{PLOT1} @@ -128095,7 +128098,7 @@ \cross{PLOT1}{plot} \end{tabular} -<>= +\begin{chunk}{package PLOT1 PlotFunctions1} )abbrev package PLOT1 PlotFunctions1 ++ Authors: R.T.M. Bronstein, C.J. Williamson ++ Date Created: Jan 1989 @@ -128132,13 +128135,13 @@ plotPolar(f,theta,thetaRange) == plotPolar(makeFloatFunction(f,theta),thetaRange) -@ -<>= +\end{chunk} +\begin{chunk}{PLOT1.dotabb} "PLOT1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PLOT1"] "KONVERT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KONVERT"] "PLOT1" -> "KONVERT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PLOTTOOL PlotTools} \pagehead{PlotTools}{PLOTTOOL} @@ -128147,7 +128150,7 @@ {\bf Exports:}\\ \cross{PLOTTOOL}{calcRanges} -<>= +\begin{chunk}{package PLOTTOOL PlotTools} )abbrev package PLOTTOOL PlotTools ++ Author: ++ Date Created: @@ -128224,19 +128227,19 @@ drawToScale() => drawToScaleRanges(xRange llp, yRange llp) [xRange llp, yRange llp] -@ -<>= +\end{chunk} +\begin{chunk}{PLOTTOOL.dotabb} "PLOTTOOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PLOTTOOL"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "PLOTTOOL" -> "FIELD" "PLOTTOOL" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% PRJALGPK ProjectiveAlgebraicSetPackage \section{package PRJALGPK ProjectiveAlgebraicSetPackage} -<>= +\begin{chunk}{ProjectiveAlgebraicSetPackage.input} )set break resume )sys rm -f ProjectiveAlgebraicSetPackage.output )spool ProjectiveAlgebraicSetPackage.output @@ -128261,8 +128264,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ProjectiveAlgebraicSetPackage.help} ==================================================================== ProjectiveAlgebraicSetPackage examples ==================================================================== @@ -128270,7 +128273,7 @@ See Also: o )show ProjectiveAlgebraicSetPackage -@ +\end{chunk} \pagehead{ProjectiveAlgebraicSetPackage}{PRJALGPK} \pagepic{ps/v104projectivealgebraicsetpackage.eps}{PRJALGPK}{1.00} @@ -128282,7 +128285,7 @@ \cross{PRJALGPK}{singularPointsWithRestriction} \end{tabular} -<>= +\begin{chunk}{package PRJALGPK ProjectiveAlgebraicSetPackage} )abbrev package PRJALGPK ProjectiveAlgebraicSetPackage ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -128444,13 +128447,13 @@ idealSingulier:List(PolyRing):=concat([F,Fx,Fy,Fz],lstPol) algebraicSet(idealSingulier) -@ -<>= +\end{chunk} +\begin{chunk}{PRJALGPK.dotabb} "PRJALGPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PRJALGPK"] "AFALGGRO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=AFALGGRO"] "PRJALGPK" -> "AFALGGRO" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PTFUNC2 PointFunctions2} \pagehead{PointFunctions2}{PTFUNC2} @@ -128459,7 +128462,7 @@ {\bf Exports:}\\ \cross{PTFUNC2}{map} -<>= +\begin{chunk}{package PTFUNC2 PointFunctions2} )abbrev package PTFUNC2 PointFunctions2 ++ Description: ++ This package has no description @@ -128477,15 +128480,15 @@ map(mapping,p) == point([mapping p.(i::PositiveInteger) for i in minIndex(p)..maxIndex(p)])$Point(R2) -@ -<>= +\end{chunk} +\begin{chunk}{PTFUNC2.dotabb} "PTFUNC2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PTFUNC2"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "PTFUNC2" -> "PID" "PTFUNC2" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PTPACK PointPackage} \pagehead{PointPackage}{PTPACK} @@ -128504,7 +128507,7 @@ \cross{PTPACK}{zCoord} & \end{tabular} -<>= +\begin{chunk}{package PTPACK PointPackage} )abbrev package PTPACK PointPackage ++ Description: ++ This package has no description @@ -128592,13 +128595,13 @@ shade p == elt(p,4) -- 4D points in 2D using extra dimensions for palette information -@ -<>= +\end{chunk} +\begin{chunk}{PTPACK.dotabb} "PTPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PTPACK"] "PTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PTCAT"] "PTPACK" -> "PTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFO PointsOfFiniteOrder} \pagehead{PointsOfFiniteOrder}{PFO} @@ -128611,7 +128614,7 @@ \cross{PFO}{torsionIfCan} \end{tabular} -<>= +\begin{chunk}{package PFO PointsOfFiniteOrder} )abbrev package PFO PointsOfFiniteOrder ++ Author: Manuel Bronstein ++ Date Created: 1988 @@ -128888,15 +128891,15 @@ zero?(kbadBadNum(b,m) rem p) or zero?(kbadBadNum(d,m) rem p) or zero?(kbad3Num(h, m) rem p)) -@ -<>= +\end{chunk} +\begin{chunk}{PFO.dotabb} "PFO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFO"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "PFO" -> "FS" "PFO" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFOQ PointsOfFiniteOrderRational} \pagehead{PointsOfFiniteOrderRational}{PFOQ} @@ -128909,7 +128912,7 @@ \cross{PFOQ}{torsionIfCan} \end{tabular} -<>= +\begin{chunk}{package PFOQ PointsOfFiniteOrderRational} )abbrev package PFOQ PointsOfFiniteOrderRational ++ Author: Manuel Bronstein ++ Date Created: 25 Aug 1988 @@ -128988,13 +128991,13 @@ (g := generator reduce(n::Z * d)) case "failed" => "failed" [n, g::R] -@ -<>= +\end{chunk} +\begin{chunk}{PFOQ.dotabb} "PFOQ" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFOQ"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "PFOQ" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFOTOOLS PointsOfFiniteOrderTools} \pagehead{PointsOfFiniteOrderTools}{PFOTOOLS} @@ -129009,7 +129012,7 @@ \cross{PFOTOOLS}{polyred} \end{tabular} -<>= +\begin{chunk}{package PFOTOOLS PointsOfFiniteOrderTools} )abbrev package PFOTOOLS PointsOfFiniteOrderTools ++ Author: Manuel Bronstein ++ Date Created: 25 Aug 1988 @@ -129064,16 +129067,16 @@ d := retract(discriminant r)@UP retract(discriminant((d exquo gcd(d, differentiate d))::UP))@Z -@ -<>= +\end{chunk} +\begin{chunk}{PFOTOOLS.dotabb} "PFOTOOLS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFOTOOLS"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PFOTOOLS" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PLPKCRV PolynomialPackageForCurve} -<>= +\begin{chunk}{PolynomialPackageForCurve.input} )set break resume )sys rm -f PolynomialPackageForCurve.output )spool PolynomialPackageForCurve.output @@ -129102,8 +129105,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{PolynomialPackageForCurve.help} ==================================================================== PolynomialPackageForCurve examples ==================================================================== @@ -129111,7 +129114,7 @@ See Also: o )show PolynomialPackageForCurve -@ +\end{chunk} \pagehead{PolynomialPackageForCurve}{PLPKCRV} \pagepic{ps/v104polynomialpackageforcurve.eps}{PLPKCRV}{1.00} @@ -129124,7 +129127,7 @@ \cross{PLPKCRV}{translateToOrigin} \end{tabular} -<>= +\begin{chunk}{package PLPKCRV PolynomialPackageForCurve} )abbrev package PLPKCRV PolynomialPackageForCurve ++ Author: Gaetan Hache ++ Date Created: 17 nov 1992 @@ -129214,13 +129217,13 @@ minimalForm(crb,pt,nV)== minimalForm(translateToOrigin(crb,pt,nV)) -@ -<>= +\end{chunk} +\begin{chunk}{PLPKCRV.dotabb} "PLPKCRV" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PLPKCRV"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "PLPKCRV" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLTOPOL PolToPol} \pagehead{PolToPol}{POLTOPOL} @@ -129236,7 +129239,7 @@ \cross{POLTOPOL}{pToHdmp} \end{tabular} -<>= +\begin{chunk}{package POLTOPOL PolToPol} )abbrev package POLTOPOL PolToPol ++ Author : P.Gianni, Summer '88 ++ Description: @@ -129307,13 +129310,13 @@ monomial(leadingCoefficient hdpol,dd)$DPoly+ hdmpToDmp(reductum hdpol) -@ -<>= +\end{chunk} +\begin{chunk}{POLTOPOL.dotabb} "POLTOPOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLTOPOL"] "DIRPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=DIRPCAT"] "POLTOPOL" -> "DIRPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PGROEB PolyGroebner} \pagehead{PolyGroebner}{PGROEB} @@ -129325,7 +129328,7 @@ \cross{PGROEB}{totalGroebner} \end{tabular} -<>= +\begin{chunk}{package PGROEB PolyGroebner} )abbrev package PGROEB PolyGroebner ++ Author: P. Gianni ++ Date Created: Summer 1988 @@ -129390,13 +129393,13 @@ gb:=groebner(b)$GroebnerPackage(F,HDP,OV,HDPoly) [hdmpToP(pp)$PP for pp in gb] -@ -<>= +\end{chunk} +\begin{chunk}{PGROEB.dotabb} "PGROEB" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PGROEB"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "PGROEB" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PAN2EXPR PolynomialAN2Expression} \pagehead{PolynomialAN2Expression}{PAN2EXPR} @@ -129405,7 +129408,7 @@ {\bf Exports:}\\ \cross{PAN2EXPR}{coerce} -<>= +\begin{chunk}{package PAN2EXPR PolynomialAN2Expression} )abbrev package PAN2EXPR PolynomialAN2Expression ++ Author: Barry Trager ++ Date Created: 8 Oct 1991 @@ -129433,15 +129436,15 @@ coerce(rf:Fraction PAN):EXPR == numer(rf)::EXPR / denom(rf)::EXPR -@ -<>= +\end{chunk} +\begin{chunk}{PAN2EXPR.dotabb} "PAN2EXPR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PAN2EXPR"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "PAN2EXPR" -> "ACF" "PAN2EXPR" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLYLIFT PolynomialCategoryLifting} \pagehead{PolynomialCategoryLifting}{POLYLIFT} @@ -129450,7 +129453,7 @@ {\bf Exports:}\\ \cross{POLYLIFT}{map} -<>= +\begin{chunk}{package POLYLIFT PolynomialCategoryLifting} )abbrev package POLYLIFT PolynomialCategoryLifting ++ Author: Manuel Bronstein ++ Date Created: @@ -129496,13 +129499,13 @@ up := reductum up ans + map(fv, fc, leadingCoefficient up) -@ -<>= +\end{chunk} +\begin{chunk}{POLYLIFT.dotabb} "POLYLIFT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLYLIFT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "POLYLIFT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLYCATQ PolynomialCategoryQuotientFunctions} \pagehead{PolynomialCategoryQuotientFunctions}{POLYCATQ} @@ -129520,7 +129523,7 @@ \cross{POLYCATQ}{univariate} && \end{tabular} -<>= +\begin{chunk}{package POLYCATQ PolynomialCategoryQuotientFunctions} )abbrev package POLYCATQ PolynomialCategoryQuotientFunctions ++ Author: Manuel Bronstein ++ Date Created: March 1988 @@ -129652,13 +129655,13 @@ map(z +-> z::F, univariate(p, x))$SparseUnivariatePolynomialFunctions2(P, F) -@ -<>= +\end{chunk} +\begin{chunk}{POLYCATQ.dotabb} "POLYCATQ" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLYCATQ"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "POLYCATQ" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PCOMP PolynomialComposition} \pagehead{PolynomialComposition}{PCOMP} @@ -129667,7 +129670,7 @@ {\bf Exports:}\\ \cross{PCOMP}{compose} -<>= +\begin{chunk}{package PCOMP PolynomialComposition} )abbrev package PCOMP PolynomialComposition ++ References: Kozen and Landau, Cornell University TR 86-773 ++ Description: @@ -129685,13 +129688,13 @@ g := reductum g r -@ -<>= +\end{chunk} +\begin{chunk}{PCOMP.dotabb} "PCOMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PCOMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PCOMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PDECOMP PolynomialDecomposition} \pagehead{PolynomialDecomposition}{PDECOMP} @@ -129704,7 +129707,7 @@ \cross{PDECOMP}{rightFactorCandidate} \end{tabular} -<>= +\begin{chunk}{package PDECOMP PolynomialDecomposition} )abbrev package PDECOMP PolynomialDecomposition ++ References: Kozen and Landau, Cornell University TR 86-773 ++ Description: @@ -129763,13 +129766,13 @@ h := h + monomial(c, (dh-k)::NNI) h - monomial(coefficient(h, 0), 0) -- drop constant term -@ -<>= +\end{chunk} +\begin{chunk}{PDECOMP.dotabb} "PDECOMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PDECOMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PDECOMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFBR PolynomialFactorizationByRecursion} \pagehead{PolynomialFactorizationByRecursion}{PFBR} @@ -129785,7 +129788,7 @@ \cross{PFBR}{solveLinearPolynomialEquationByRecursion} \end{tabular} -<>= +\begin{chunk}{package PFBR PolynomialFactorizationByRecursion} )abbrev package PFBR PolynomialFactorizationByRecursion ++ Description: ++ PolynomialFactorizationByRecursion(R,E,VarSet,S) @@ -130079,13 +130082,13 @@ makeFR((recip lcppPow)::S::SupS, [["irred",w,1] for w in factors]) -@ -<>= +\end{chunk} +\begin{chunk}{PFBR.dotabb} "PFBR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFBR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PFBR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PFBRU PolynomialFactorizationByRecursionUnivariate} \pagehead{PolynomialFactorizationByRecursionUnivariate}{PFBRU} @@ -130100,7 +130103,7 @@ \cross{PFBRU}{solveLinearPolynomialEquationByRecursion} & \end{tabular} -<>= +\begin{chunk}{package PFBRU PolynomialFactorizationByRecursionUnivariate} )abbrev package PFBRU PolynomialFactorizationByRecursionUnivariate ++ Description: ++ PolynomialFactorizationByRecursionUnivariate @@ -130341,13 +130344,13 @@ makeFR((recip lcppPow)::S::SupS, [["irred",w,1] for w in factors]) -@ -<>= +\end{chunk} +\begin{chunk}{PFBRU.dotabb} "PFBRU" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PFBRU"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PFBRU" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLY2 PolynomialFunctions2} \pagehead{PolynomialFunctions2}{POLY2} @@ -130356,7 +130359,7 @@ {\bf Exports:}\\ \cross{POLY2}{map} -<>= +\begin{chunk}{package POLY2 PolynomialFunctions2} )abbrev package POLY2 PolynomialFunctions2 ++ Author: ++ Date Created: @@ -130381,13 +130384,13 @@ Symbol, R, Polynomial R, Polynomial S) -@ -<>= +\end{chunk} +\begin{chunk}{POLY2.dotabb} "POLY2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLY2"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "POLY2" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PGCD PolynomialGcdPackage} \pagehead{PolynomialGcdPackage}{PGCD} @@ -130399,7 +130402,7 @@ \cross{PGCD}{gcdPrimitive} \end{tabular} -<>= +\begin{chunk}{package PGCD PolynomialGcdPackage} )abbrev package PGCD PolynomialGcdPackage ++ Author: Michael Lucks, P. Gianni ++ Date Created: @@ -130787,13 +130790,13 @@ if f=1$P then return f f -@ -<>= +\end{chunk} +\begin{chunk}{PGCD.dotabb} "PGCD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PGCD"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PGCD" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PINTERP PolynomialInterpolation} \pagehead{PolynomialInterpolation}{PINTERP} @@ -130802,7 +130805,7 @@ {\bf Exports:}\\ \cross{PINTERP}{interpolate} -<>= +\begin{chunk}{package PINTERP PolynomialInterpolation} )abbrev package PINTERP PolynomialInterpolation ++ Description: ++ This package exports interpolation algorithms @@ -130829,13 +130832,13 @@ interpolate(lx, ly) == LagrangeInterpolation(lx, ly)$PIA(F, SUP F) -@ -<>= +\end{chunk} +\begin{chunk}{PINTERP.dotabb} "PINTERP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PINTERP"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "PINTERP" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PINTERPA PolynomialInterpolationAlgorithms} \pagehead{PolynomialInterpolationAlgorithms}{PINTERPA} @@ -130844,7 +130847,7 @@ {\bf Exports:}\\ \cross{PINTERPA}{LagrangeInterpolation} -<>= +\begin{chunk}{package PINTERPA PolynomialInterpolationAlgorithms} )abbrev package PINTERPA PolynomialInterpolationAlgorithms ++ Description: ++ This package exports interpolation algorithms @@ -130871,13 +130874,13 @@ ip := ip + (yi/xp) * pp ip -@ -<>= +\end{chunk} +\begin{chunk}{PINTERPA.dotabb} "PINTERPA" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PINTERPA"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PINTERPA" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PNTHEORY PolynomialNumberTheoryFunctions} \pagehead{PolynomialNumberTheoryFunctions}{PNTHEORY} @@ -130896,7 +130899,7 @@ \cross{PNTHEORY}{legendre} & \end{tabular} -<>= +\begin{chunk}{package PNTHEORY PolynomialNumberTheoryFunctions} )abbrev package PNTHEORY PolynomialNumberTheoryFunctions ++ Author: Michael Monagan, Clifton J. Williamson ++ Date Created: June 1987 @@ -131107,13 +131110,13 @@ U.U2 := q p -@ -<>= +\end{chunk} +\begin{chunk}{PNTHEORY.dotabb} "PNTHEORY" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PNTHEORY"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PNTHEORY" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLYROOT PolynomialRoots} \pagehead{PolynomialRoots}{POLYROOT} @@ -131127,7 +131130,7 @@ \cross{POLYROOT}{rroot} \end{tabular} -<>= +\begin{chunk}{package POLYROOT PolynomialRoots} )abbrev package POLYROOT PolynomialRoots ++ Author: Manuel Bronstein ++ Date Created: 15 July 1988 @@ -131255,13 +131258,13 @@ (pd.poly ** (m quo sd.exponent))::F] -@ -<>= +\end{chunk} +\begin{chunk}{POLYROOT.dotabb} "POLYROOT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLYROOT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "POLYROOT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PSETPK PolynomialSetUtilitiesPackage} \pagehead{PolynomialSetUtilitiesPackage}{PSETPK} @@ -131302,7 +131305,7 @@ \cross{PSETPK}{unprotectedRemoveRedundantFactors} & \end{tabular} -<>= +\begin{chunk}{package PSETPK PolynomialSetUtilitiesPackage} )abbrev package PSETPK PolynomialSetUtilitiesPackage ++ Author: Marc Moreno Maza (marc@nag.co.uk) ++ Date Created: 12/01/1995 @@ -132119,13 +132122,13 @@ toSave := sort(infRittWu?,cons(a,toSave)) toSave -@ -<>= +\end{chunk} +\begin{chunk}{PSETPK.dotabb} "PSETPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PSETPK"] "RPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RPOLCAT"] "PSETPK" -> "RPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SOLVEFOR PolynomialSolveByFormulas} \pagehead{PolynomialSolveByFormulas}{SOLVEFOR} @@ -132146,7 +132149,7 @@ \cross{SOLVEFOR}{mapSolve} &&&& \end{tabular} -<>= +\begin{chunk}{package SOLVEFOR PolynomialSolveByFormulas} )abbrev package SOLVEFOR PolynomialSolveByFormulas -- Current fields with "**": (%, RationalNumber) -> % are -- ComplexFloat, RadicalExtension(K) and RationalRadical @@ -132417,13 +132420,13 @@ s := aQuadratic( 1, rt, (-q/rt + t0)/2::F ) s - a1/4::F -@ -<>= +\end{chunk} +\begin{chunk}{SOLVEFOR.dotabb} "SOLVEFOR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SOLVEFOR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SOLVEFOR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PSQFR PolynomialSquareFree} \pagehead{PolynomialSquareFree}{PSQFR} @@ -132432,7 +132435,7 @@ {\bf Exports:}\\ \cross{PSQFR}{squareFree} -<>= +\begin{chunk}{package PSQFR PolynomialSquareFree} )abbrev package PSQFR PolynomialSquareFree ++ Author: ++ Date Created: @@ -132558,13 +132561,13 @@ append(factorList sqp, pfaclist)) makeFR(coefficient(unit squp,0),pfaclist) -@ -<>= +\end{chunk} +\begin{chunk}{PSQFR.dotabb} "PSQFR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PSQFR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PSQFR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLY2UP PolynomialToUnivariatePolynomial} \pagehead{PolynomialToUnivariatePolynomial}{POLY2UP} @@ -132573,7 +132576,7 @@ {\bf Exports:}\\ \cross{POLY2UP}{univariate} -<>= +\begin{chunk}{package POLY2UP PolynomialToUnivariatePolynomial} )abbrev package POLY2UP PolynomialToUnivariatePolynomial ++ Author: ++ Date Created: @@ -132603,13 +132606,13 @@ SparseUnivariatePolynomial Polynomial R, Polynomial R, UnivariatePolynomial(x, Polynomial R)) -@ -<>= +\end{chunk} +\begin{chunk}{POLY2UP.dotabb} "POLY2UP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLY2UP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "POLY2UP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LIMITPS PowerSeriesLimitPackage} \pagehead{PowerSeriesLimitPackage}{LIMITPS} @@ -132621,7 +132624,7 @@ \cross{LIMITPS}{limit} \end{tabular} -<>= +\begin{chunk}{package LIMITPS PowerSeriesLimitPackage} )abbrev package LIMITPS PowerSeriesLimitPackage ++ Author: Clifton J. Williamson ++ Date Created: 21 March 1989 @@ -133147,13 +133150,13 @@ x := xx :: SY; a := rhs eq locallimitcomplex(fcn,x,a) -@ -<>= +\end{chunk} +\begin{chunk}{LIMITPS.dotabb} "LIMITPS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LIMITPS"] "ULSCCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ULSCCAT"] "LIMITPS" -> "ULSCCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PREASSOC PrecomputedAssociatedEquations} \pagehead{PrecomputedAssociatedEquations}{PREASSOC} @@ -133162,7 +133165,7 @@ {\bf Exports:}\\ \cross{PREASSOC}{firstUncouplingMatrix} -<>= +\begin{chunk}{package PREASSOC PrecomputedAssociatedEquations} )abbrev package PREASSOC PrecomputedAssociatedEquations ++ Author: Manuel Bronstein ++ Date Created: 13 January 1994 @@ -133257,15 +133260,15 @@ 5 * a''.3 + 15 * a.3 * a'.3 + 10 * a'.2 + 5 * a.3**3 + 10 * a.2 * a.3, 9 * a'.3 + 9 * a.3**2 + 4 * a.2] -@ -<>= +\end{chunk} +\begin{chunk}{PREASSOC.dotabb} "PREASSOC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PREASSOC"] "OREPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OREPCAT"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "PREASSOC" -> "OREPCAT" "PREASSOC" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PRIMARR2 PrimitiveArrayFunctions2} \pagehead{PrimitiveArrayFunctions2}{PRIMARR2} @@ -133278,7 +133281,7 @@ \cross{PRIMARR2}{scan} \end{tabular} -<>= +\begin{chunk}{package PRIMARR2 PrimitiveArrayFunctions2} )abbrev package PRIMARR2 PrimitiveArrayFunctions2 ++ Description: ++ This package provides tools for operating on primitive arrays @@ -133328,13 +133331,13 @@ scan(f, v, b) == scan(f, v, b)$O2 reduce(f, v, b) == reduce(f, v, b)$O2 -@ -<>= +\end{chunk} +\begin{chunk}{PRIMARR2.dotabb} "PRIMARR2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PRIMARR2"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "PRIMARR2" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PRIMELT PrimitiveElement} \pagehead{PrimitiveElement}{PRIMELT} @@ -133343,7 +133346,7 @@ {\bf Exports:}\\ \cross{PRIMELT}{primitiveElement} -<>= +\begin{chunk}{package PRIMELT PrimitiveElement} )abbrev package PRIMELT PrimitiveElement ++ Author: Manuel Bronstein ++ Date Created: 6 Jun 1990 @@ -133447,13 +133450,13 @@ ltt := tt::List(UP) return([cf, rest ltt, first ltt]) -@ -<>= +\end{chunk} +\begin{chunk}{PRIMELT.dotabb} "PRIMELT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PRIMELT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "PRIMELT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODEPRIM PrimitiveRatDE} \pagehead{PrimitiveRatDE}{ODEPRIM} @@ -133467,7 +133470,7 @@ \cross{ODEPRIM}{splitDenominator} \end{tabular} -<>= +\begin{chunk}{package ODEPRIM PrimitiveRatDE} )abbrev package ODEPRIM PrimitiveRatDE ++ Author: Manuel Bronstein ++ Date Created: 1 March 1991 @@ -133644,13 +133647,13 @@ h := separateZeros(d, e := "lcm"/[denom g for g in lg]) denom0(degree l, l, d, e, h) -@ -<>= +\end{chunk} +\begin{chunk}{ODEPRIM.dotabb} "ODEPRIM" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODEPRIM"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ODEPRIM" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODEPRRIC PrimitiveRatRicDE} \pagehead{PrimitiveRatRicDE}{ODEPRRIC} @@ -133666,7 +133669,7 @@ \cross{ODEPRRIC}{singRicDE} && \end{tabular} -<>= +\begin{chunk}{package ODEPRRIC PrimitiveRatRicDE} )abbrev package ODEPRRIC PrimitiveRatRicDE ++ Author: Manuel Bronstein ++ Date Created: 22 October 1991 @@ -133924,13 +133927,13 @@ concat_!([[atn + sol.poly, sol.eq] for sol in sols], ans) ans -@ -<>= +\end{chunk} +\begin{chunk}{ODEPRRIC.dotabb} "ODEPRRIC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODEPRRIC"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "ODEPRRIC" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PRINT PrintPackage} \pagehead{PrintPackage}{PRINT} @@ -133939,7 +133942,7 @@ {\bf Exports:}\\ \cross{PRINT}{print} -<>= +\begin{chunk}{package PRINT PrintPackage} )abbrev package PRINT PrintPackage ++ Author: Scott Morrison ++ Date Created: Aug. 1, 1990 @@ -133960,13 +133963,13 @@ == add print(x) == print(x)$OutputForm -@ -<>= +\end{chunk} +\begin{chunk}{PRINT.dotabb} "PRINT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PRINT"] "Package" [color="#FF4488"] "PRINT" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PSEUDLIN PseudoLinearNormalForm} \pagehead{PseudoLinearNormalForm}{PSEUDLIN} @@ -133979,7 +133982,7 @@ \cross{PSEUDLIN}{normalForm} \end{tabular} -<>= +\begin{chunk}{package PSEUDLIN PseudoLinearNormalForm} )abbrev package PSEUDLIN PseudoLinearNormalForm ++ Author: Bruno Zuercher ++ Date Created: November 1993 @@ -134132,13 +134135,13 @@ P(i, k) := P(k, i) := 1 P -@ -<>= +\end{chunk} +\begin{chunk}{PSEUDLIN.dotabb} "PSEUDLIN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PSEUDLIN"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "PSEUDLIN" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PRS PseudoRemainderSequence} The package constructor {\bf PseudoRemainderSequence} provides @@ -134189,7 +134192,7 @@ \cross{PRS}{?*?} \end{tabular} -<>= +\begin{chunk}{package PRS PseudoRemainderSequence} )abbrev package PRS PseudoRemainderSequence ++ Author: Ducos Lionel (Lionel.Ducos@mathlabo.univ-poitiers.fr) ++ Date Created: january 1995 @@ -135107,13 +135110,13 @@ G : polR := subResultantGcd(P, Q) return gcd(cP,cQ) * primitivePart(G) -@ -<>= +\end{chunk} +\begin{chunk}{PRS.dotabb} "PRS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PRS"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PRS" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTPAF PureAlgebraicIntegration} \pagehead{PureAlgebraicIntegration}{INTPAF} @@ -135128,7 +135131,7 @@ \cross{INTPAF}{palglimint} \end{tabular} -<>= +\begin{chunk}{package INTPAF PureAlgebraicIntegration} )abbrev package INTPAF PureAlgebraicIntegration ++ Author: Manuel Bronstein ++ Date Created: 27 May 1988 @@ -135510,15 +135513,15 @@ palgLODE0(eq, g, kx, y, u.coef, u.poly) palgLODE0(eq, g, kx, y, dumk, v.xsub, v.dxsub) -@ -<>= +\end{chunk} +\begin{chunk}{INTPAF.dotabb} "INTPAF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTPAF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "INTPAF" -> "FS" "INTPAF" -> "ACF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODEPAL PureAlgebraicLODE} \pagehead{PureAlgebraicLODE}{ODEPAL} @@ -135527,7 +135530,7 @@ {\bf Exports:}\\ \cross{ODEPAL}{algDsolve} -<>= +\begin{chunk}{package ODEPAL PureAlgebraicLODE} )abbrev package ODEPAL PureAlgebraicLODE ++ Author: Manuel Bronstein ++ Date Created: 21 August 1991 @@ -135570,13 +135573,13 @@ (u := sol.particular) case V => [represents(u::V), bas] ["failed", bas] -@ -<>= +\end{chunk} +\begin{chunk}{ODEPAL.dotabb} "ODEPAL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODEPAL"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "ODEPAL" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package PUSHVAR PushVariables} \pagehead{PushVariables}{PUSHVAR} @@ -135586,7 +135589,7 @@ \begin{tabular}{lllll} \end{tabular} -<>= +\begin{chunk}{package PUSHVAR PushVariables} )abbrev package PUSHVAR PushVariables ++ Description: ++ This package has no description @@ -135652,13 +135655,13 @@ pushup(g:PPR, lv:List OV) : PPR == map(y +-> pushupCoef(y, lv), g) -@ -<>= +\end{chunk} +\begin{chunk}{PUSHVAR.dotabb} "PUSHVAR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=PUSHVAR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "PUSHVAR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter Q} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -135669,7 +135672,7 @@ {\bf Exports:}\\ \cross{QALGSET2}{radicalSimplify} -<>= +\begin{chunk}{package QALGSET2 QuasiAlgebraicSet2} )abbrev package QALGSET2 QuasiAlgebraicSet2 ++ Author: William Sit ++ Date Created: March 13, 1992 @@ -135779,13 +135782,13 @@ y:=quasiAlgebraicSet(gb, primitivePart normalForm(n0, gb)) setStatus(y,false::Status) -@ -<>= +\end{chunk} +\begin{chunk}{QALGSET2.dotabb} "QALGSET2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=QALGSET2"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "QALGSET2" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package QCMPACK QuasiComponentPackage} \pagehead{QuasiComponentPackage}{QCMPACK} @@ -135812,7 +135815,7 @@ \cross{QCMPACK}{supDimElseRittWu?} & \end{tabular} -<>= +\begin{chunk}{package QCMPACK QuasiComponentPackage} )abbrev package QCMPACK QuasiComponentPackage ++ Author: Marc Moreno Maza ++ marc@nag.co.uk @@ -136195,13 +136198,13 @@ toSee := branches sort((x,y) +-> supDimElseRittWu?(x.tower,y.tower),toSee) -@ -<>= +\end{chunk} +\begin{chunk}{QCMPACK.dotabb} "QCMPACK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=QCMPACK"] "RSETCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RSETCAT"] "QCMPACK" -> "RSETCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package QFCAT2 QuotientFieldCategoryFunctions2} \pagehead{QuotientFieldCategoryFunctions2}{QFCAT2} @@ -136210,7 +136213,7 @@ {\bf Exports:}\\ \cross{QFCAT2}{map} -<>= +\begin{chunk}{package QFCAT2 QuotientFieldCategoryFunctions2} )abbrev package QFCAT2 QuotientFieldCategoryFunctions2 ++ Author: ++ Date Created: @@ -136238,16 +136241,16 @@ Impl ==> add map(f, r) == f(numer r) / f(denom r) -@ -<>= +\end{chunk} +\begin{chunk}{QFCAT2.dotabb} "QFCAT2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=QFCAT2"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "QFCAT2" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package QUATCT2 QuaternionCategoryFunctions2} -<>= +\begin{chunk}{QuaternionCategoryFunctions2.input} )set break resume )spool QuaternionCategoryFunctions2.output )set message test on @@ -136300,8 +136303,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{QuaternionCategoryFunctions2.help} ==================================================================== QuaternionCategoryFunctions2 examples ==================================================================== @@ -136335,14 +136338,14 @@ See Also: o )show QuaternionCategoryFunctions2 -@ +\end{chunk} \pagehead{QuaternionCategoryFunctions2}{QUATCT2} \pagepic{ps/v104quaternioncategoryfunctions2.ps}{QUATCT2}{1.00} {\bf Exports:}\\ \cross{QUATCT2}{map} -<>= +\begin{chunk}{package QUATCT2 QuaternionCategoryFunctions2} )abbrev package QUATCT2 QuaternionCategoryFunctions2 ++ Author: Robert S. Sutor ++ Date Created: 23 May 1990 @@ -136377,13 +136380,13 @@ map(fn : R -> S, u : QR): QS == quatern(fn real u, fn imagI u, fn imagJ u, fn imagK u)$QS -@ -<>= +\end{chunk} +\begin{chunk}{QUATCT2.dotabb} "QUATCT2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=QUATCT2"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=QUATCAT"] "QUATCT2" -> "QUATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -136401,7 +136404,7 @@ \cross{REP}{radicalEigenvectors} & \end{tabular} -<>= +\begin{chunk}{package REP RadicalEigenPackage} )abbrev package REP RadicalEigenPackage ++ Author: P.Gianni ++ Date Created: Summer 1987 @@ -136581,16 +136584,16 @@ else basis:=[normalise(lvec.first),:basis] basis -@ -<>= +\end{chunk} +\begin{chunk}{REP.dotabb} "REP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REP"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "REP" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SOLVERAD RadicalSolvePackage} -<>= +\begin{chunk}{RadicalSolvePackage.input} )set break resume )sys rm -f RadicalSolvePackage.output )spool RadicalSolvePackage.output @@ -136849,8 +136852,8 @@ )spool -@ -<>= +\end{chunk} +\begin{chunk}{RadicalSolvePackage.help} ==================================================================== RadicalSolvePackage examples ==================================================================== @@ -137049,7 +137052,7 @@ o )show RadicalSolvePackage o )show RealSolvePackage -@ +\end{chunk} \pagehead{RadicalSolvePackage}{SOLVERAD} \pagepic{ps/v104radicalsolvepackage.ps}{SOLVERAD}{1.00} @@ -137060,7 +137063,7 @@ \cross{SOLVERAD}{radicalSolve} \end{tabular} -<>= +\begin{chunk}{package SOLVERAD RadicalSolvePackage} )abbrev package SOLVERAD RadicalSolvePackage ++ Author: P.Gianni ++ Date Created: Summer 1990 @@ -137375,13 +137378,13 @@ re := SideEquations [solutions, SideEquations]$SU -@ -<>= +\end{chunk} +\begin{chunk}{SOLVERAD.dotabb} "SOLVERAD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SOLVERAD"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "SOLVERAD" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RADUTIL RadixUtilities} \pagehead{RadixUtilities}{RADUTIL} @@ -137390,7 +137393,7 @@ {\bf Exports:}\\ \cross{RADUTIL}{radix} -<>= +\begin{chunk}{package RADUTIL RadixUtilities} )abbrev package RADUTIL RadixUtilities ++ Author: Stephen M. Watt ++ Date Created: October 1986 @@ -137413,15 +137416,15 @@ radix(q, b) == coerce(q :: RadixExpansion(b))$AnyFunctions1(RadixExpansion b) -@ -<>= +\end{chunk} +\begin{chunk}{RADUTIL.dotabb} "RADUTIL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RADUTIL"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "RADUTIL" -> "PID" "RADUTIL" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RDIST RandomDistributions} \pagehead{RandomDistributions}{RDIST} @@ -137434,7 +137437,7 @@ \cross{RDIST}{weighted} \end{tabular} -<>= +\begin{chunk}{package RDIST RandomDistributions} )abbrev package RDIST RandomDistributions ++ Description: ++ This package exports random distributions @@ -137483,13 +137486,13 @@ n := #l l.(randnum(n)+1) -@ -<>= +\end{chunk} +\begin{chunk}{RDIST.dotabb} "RDIST" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RDIST"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "RDIST" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RFDIST RandomFloatDistributions} \pagehead{RandomFloatDistributions}{RFDIST} @@ -137510,7 +137513,7 @@ \cross{RFDIST}{uniform} &&&& \end{tabular} -<>= +\begin{chunk}{package RFDIST RandomFloatDistributions} )abbrev package RFDIST RandomFloatDistributions ++ Description: ++ This package exports random floating-point distributions @@ -137602,13 +137605,13 @@ d := chiSquare1(dgfree) / (dgfree::Float) n / sqrt d -@ -<>= +\end{chunk} +\begin{chunk}{RFDIST.dotabb} "RFDIST" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RFDIST"] "Package" [color="#FF4488"] "RFDIST" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RIDIST RandomIntegerDistributions} \pagehead{RandomIntegerDistributions}{RIDIST} @@ -137623,7 +137626,7 @@ \cross{RIDIST}{uniform} \end{tabular} -<>= +\begin{chunk}{package RIDIST RandomIntegerDistributions} )abbrev package RIDIST RandomIntegerDistributions ++ Description: ++ This package exports integer distributions @@ -137669,13 +137672,13 @@ for i in 1..n repeat r := r*w + randnum w r + l -@ -<>= +\end{chunk} +\begin{chunk}{RIDIST.dotabb} "RIDIST" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RIDIST"] "Package" [color="#FF4488"] "RIDIST" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RANDSRC RandomNumberSource} \pagehead{RandomNumberSource}{RANDSRC} @@ -137689,7 +137692,7 @@ \cross{RANDSRC}{size} \end{tabular} -<>= +\begin{chunk}{package RANDSRC RandomNumberSource} )abbrev package RANDSRC RandomNumberSource ++ Author:S.M.Watt ++ Date Created: April 87 @@ -137751,13 +137754,13 @@ randnum n == (n * randnum()) quo ranbase -@ -<>= +\end{chunk} +\begin{chunk}{RANDSRC.dotabb} "RANDSRC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RANDSRC"] "ALGEBRA-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALGEBRA"] "RANDSRC" -> "ALGEBRA-" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RATFACT RationalFactorize} \pagehead{RationalFactorize}{RATFACT} @@ -137769,7 +137772,7 @@ \cross{RATFACT}{factorSquareFree} \end{tabular} -<>= +\begin{chunk}{package RATFACT RationalFactorize} )abbrev package RATFACT RationalFactorize ++ Author: P. Gianni ++ Date created: ?? @@ -137829,13 +137832,13 @@ [["prime",map(coerce,u.irr)$UIRN,u.pow]$FFE for u in ffact.factors]) -@ -<>= +\end{chunk} +\begin{chunk}{RATFACT.dotabb} "RATFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RATFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RATFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RF RationalFunction} \pagehead{RationalFunction}{RF} @@ -137851,7 +137854,7 @@ \cross{RF}{variables} \end{tabular} -<>= +\begin{chunk}{package RF RationalFunction} )abbrev package RF RationalFunction ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -137924,13 +137927,13 @@ map(z1 +-> foo(ls, lv, z1), z2 +-> z2::Q,p) $PolynomialCategoryLifting(IndexedExponents V,V,R,P,Q) -@ -<>= +\end{chunk} +\begin{chunk}{RF.dotabb} "RF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DEFINTRF RationalFunctionDefiniteIntegration} \pagehead{RationalFunctionDefiniteIntegration}{DEFINTRF} @@ -137939,7 +137942,7 @@ {\bf Exports:}\\ \cross{DEFINTRF}{integrate} -<>= +\begin{chunk}{package DEFINTRF RationalFunctionDefiniteIntegration} )abbrev package DEFINTRF RationalFunctionDefiniteIntegration ++ Author: Manuel Bronstein ++ Date Created: 2 October 1989 @@ -138029,13 +138032,13 @@ z::Boolean => error "integrate: pole in path of integration" nopole(f, x, a, b) -@ -<>= +\end{chunk} +\begin{chunk}{DEFINTRF.dotabb} "DEFINTRF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DEFINTRF"] "ACFS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACFS"] "DEFINTRF" -> "ACFS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RFFACT RationalFunctionFactor} \pagehead{RationalFunctionFactor}{RFFACT} @@ -138044,7 +138047,7 @@ {\bf Exports:}\\ \cross{RFFACT}{factor} -<>= +\begin{chunk}{package RFFACT RationalFunctionFactor} )abbrev package RFFACT RationalFunctionFactor ++ Author: Patrizia Gianni ++ Date Created: ??? @@ -138080,13 +138083,13 @@ factor(numer q)$MultivariateFactorize(SE, IndexedExponents SE,Integer,P))$FactoredFunctions2(P, UP) -@ -<>= +\end{chunk} +\begin{chunk}{RFFACT.dotabb} "RFFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RFFACT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "RFFACT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RFFACTOR RationalFunctionFactorizer} \pagehead{RationalFunctionFactorizer}{RFFACTOR} @@ -138095,7 +138098,7 @@ {\bf Exports:}\\ \cross{RFFACTOR}{factor} -<>= +\begin{chunk}{package RFFACTOR RationalFunctionFactorizer} )abbrev package RFFACTOR RationalFunctionFactorizer ++ Author: P. Gianni ++ Date Created: @@ -138140,13 +138143,13 @@ (factor(numer p))$MFF/(factor(denom p))$MFF error "case not handled" -@ -<>= +\end{chunk} +\begin{chunk}{RFFACTOR.dotabb} "RFFACTOR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RFFACTOR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RFFACTOR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTRF RationalFunctionIntegration} \pagehead{RationalFunctionIntegration}{INTRF} @@ -138160,7 +138163,7 @@ \cross{INTRF}{limitedIntegrate} \end{tabular} -<>= +\begin{chunk}{package INTRF RationalFunctionIntegration} )abbrev package INTRF RationalFunctionIntegration ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -138219,13 +138222,13 @@ map(x1 +-> multivariate(x1, x), limitedint(univariate(f, x), [univariate(u, x) for u in lu])) -@ -<>= +\end{chunk} +\begin{chunk}{INTRF.dotabb} "INTRF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTRF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INTRF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package LIMITRF RationalFunctionLimitPackage} \pagehead{RationalFunctionLimitPackage}{LIMITRF} @@ -138237,7 +138240,7 @@ \cross{LIMITRF}{limit} \end{tabular} -<>= +\begin{chunk}{package LIMITRF RationalFunctionLimitPackage} )abbrev package LIMITRF RationalFunctionLimitPackage ++ Author: Manuel Bronstein ++ Date Created: 4 October 1989 @@ -138385,13 +138388,13 @@ dn < dd => 0 ((leadingCoefficient numer g) / (leadingCoefficient denom g))::OPF -@ -<>= +\end{chunk} +\begin{chunk}{LIMITRF.dotabb} "LIMITRF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=LIMITRF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "LIMITRF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SIGNRF RationalFunctionSign} \pagehead{RationalFunctionSign}{SIGNRF} @@ -138400,7 +138403,7 @@ {\bf Exports:}\\ \cross{SIGNRF}{sign} -<>= +\begin{chunk}{package SIGNRF RationalFunctionSign} )abbrev package SIGNRF RationalFunctionSign ++ Author: Manuel Bronstein ++ Date Created: 23 August 1989 @@ -138488,16 +138491,16 @@ odd? degree(term, var) => return "failed" sign(leadingCoefficient term)$SGN -@ -<>= +\end{chunk} +\begin{chunk}{SIGNRF.dotabb} "SIGNRF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SIGNRF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SIGNRF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SUMRF RationalFunctionSum} -<>= +\begin{chunk}{RationalFunctionSum.input} )set break resume )sys rm -f RationalFunctionSum.output )spool RationalFunctionSum.output @@ -138634,8 +138637,8 @@ )spool -@ -<>= +\end{chunk} +\begin{chunk}{RationalFunctionSum.help} ==================================================================== RationalFunctionSum examples ==================================================================== @@ -138750,14 +138753,14 @@ See Also: o )show RationalFunctionSum -@ +\end{chunk} \pagehead{RationalFunctionSum}{SUMRF} \pagepic{ps/v104rationalfunctionsum.ps}{SUMRF}{1.00} {\bf Exports:}\\ \cross{SUMRF}{sum} -<>= +\begin{chunk}{package SUMRF RationalFunctionSum} )abbrev package SUMRF RationalFunctionSum ++ Author: Manuel Bronstein ++ Date Created: ??? @@ -138829,13 +138832,13 @@ rec := sum(p, n)$InnerPolySum(IndexedExponents SE, SE, R, P) rec.num / (rec.den :: P) -@ -<>= +\end{chunk} +\begin{chunk}{SUMRF.dotabb} "SUMRF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SUMRF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SUMRF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTRAT RationalIntegration} \pagehead{RationalIntegration}{INTRAT} @@ -138849,7 +138852,7 @@ \cross{INTRAT}{limitedint} \end{tabular} -<>= +\begin{chunk}{package INTRAT RationalIntegration} )abbrev package INTRAT RationalIntegration ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -138911,13 +138914,13 @@ i2:=integrate(fqr.quotient-retract(i1.coeff)@UP *gqr.quotient)::RF [i2 + i1.ratpart, i1.coeff] -@ -<>= +\end{chunk} +\begin{chunk}{INTRAT.dotabb} "INTRAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTRAT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INTRAT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RINTERP RationalInterpolation} \subsection{Introduction} @@ -138941,7 +138944,7 @@ {\bf Exports:}\\ \cross{RINTERP}{interpolate} -<>= +\begin{chunk}{package RINTERP RationalInterpolation} )abbrev package RINTERP RationalInterpolation ++ Description: ++ This package exports rational interpolation algorithms @@ -138952,13 +138955,13 @@ Exports == with interpolate: (List F, List F, NonNegativeInteger, NonNegativeInteger) -> Fraction Polynomial F -@ +\end{chunk} The implementation sets up a system of linear equations and solves it. -<>= +\begin{chunk}{package RINTERP RationalInterpolation} Implementation == add interpolate(xlist, ylist, m, k) == -@ +\end{chunk} First we check whether we have the right number of points and values. Clearly the number of points and the number of values must be @@ -138969,13 +138972,13 @@ the denominator. In fact, we could also leave -- for example -- $k$ unspecified and determine it -as $k=[[#xlist]]-m-1$: I don't know whether this would be better. -<>= +as \verb|k=#xlist-m-1|: I don't know whether this would be better. +\begin{chunk}{package RINTERP RationalInterpolation} #xlist ^= #ylist => error "Different number of points and values." #xlist ^= m+k+1 => error "wrong number of points" -@ +\end{chunk} The next step is to set up the matrix. Suppose that our numerator polynomial is $p(x)=a_0+a_1x+\dots+a_mx^m$ and that our denominator polynomial is @@ -139008,7 +139011,7 @@ =\mathbf 0 $$ We generate this matrix columnwise: -<>= +\begin{chunk}{package RINTERP RationalInterpolation} tempvec: List F := [1 for i in 1..(m+k+1)] collist: List List F := cons(tempvec, @@ -139019,40 +139022,40 @@ collist := append([collist.j for j in 1..(m+1)], _ [[- collist.j.i * ylist.i for i in 1..(m+k+1)] _ for j in 1..(k+1)]) -@ +\end{chunk} Now we can solve the system: -<>= +\begin{chunk}{package RINTERP RationalInterpolation} res: List Vector F := nullSpace((transpose matrix collist) _ ::Matrix F) -@ +\end{chunk} Note that it may happen that the system has several solutions. In this case, some of the data points may not be interpolated correctly. However, the solution is often still useful, thus we do not signal an error. -<>= +\begin{chunk}{package RINTERP RationalInterpolation} if #res~=1 then output("Warning: unattainable points!" _ ::OutputForm)$OutputPackage -@ +\end{chunk} In this situation, all the solutions will be equivalent, thus we can always simply take the first one: -<>= +\begin{chunk}{package RINTERP RationalInterpolation} reslist: List List Polynomial F := _ [[(res.1).(i+1)*(xx::Polynomial F)**i for i in 0..m], _ [(res.1).(i+m+2)*(xx::Polynomial F)**i for i in 0..k]] -@ +\end{chunk} Finally, we generate the rational function: -<>= +\begin{chunk}{package RINTERP RationalInterpolation} reduce((_+),reslist.1)/reduce((_+),reslist.2) -@ -<>= +\end{chunk} +\begin{chunk}{RINTERP.dotabb} "RINTERP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RINTERP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RINTERP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODERAT RationalLODE} \pagehead{RationalLODE}{ODERAT} @@ -139064,7 +139067,7 @@ \cross{ODERAT}{ratDsolve} \end{tabular} -<>= +\begin{chunk}{package ODERAT RationalLODE} )abbrev package ODERAT RationalLODE ++ Author: Manuel Bronstein ++ Date Created: 13 March 1991 @@ -139294,13 +139297,13 @@ unit?(c := content op) => ratDsolve1(op, lg) ratDsolve1((op exquo c)::LODO2, [inv(c::RF) * g for g in lg]) -@ -<>= +\end{chunk} +\begin{chunk}{ODERAT.dotabb} "ODERAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODERAT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "ODERAT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RATRET RationalRetractions} \pagehead{RationalRetractions}{RATRET} @@ -139313,7 +139316,7 @@ \cross{RATRET}{rationalIfCan} \end{tabular} -<>= +\begin{chunk}{package RATRET RationalRetractions} )abbrev package RATRET RationalRetractions ++ Author: Manuel Bronstein ++ Date Created: March 1990 @@ -139336,15 +139339,15 @@ rational? s == retractIfCan(s) case Fraction(Integer) rationalIfCan s == retractIfCan s -@ -<>= +\end{chunk} +\begin{chunk}{RATRET.dotabb} "RATRET" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RATRET"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "RATRET" -> "PID" "RATRET" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODERTRIC RationalRicDE} \pagehead{RationalRicDE}{ODERTRIC} @@ -139357,7 +139360,7 @@ \cross{ODERTRIC}{singRicDE} \end{tabular} -<>= +\begin{chunk}{package ODERTRIC RationalRicDE} )abbrev package ODERTRIC RationalRicDE ++ Author: Manuel Bronstein ++ Date Created: 22 October 1991 @@ -139643,13 +139646,13 @@ $UnivariatePolynomialCategoryFunctions2(F, UP, F, SparseUnivariatePolynomial F))] -@ -<>= +\end{chunk} +\begin{chunk}{ODERTRIC.dotabb} "ODERTRIC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODERTRIC"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "ODERTRIC" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RURPK RationalUnivariateRepresentationPackage} \pagehead{RationalUnivariateRepresentationPackage}{RURPK} @@ -139658,7 +139661,7 @@ {\bf Exports:}\\ \cross{RURPK}{rur} -<>= +\begin{chunk}{package RURPK RationalUnivariateRepresentationPackage} )abbrev package RURPK RationalUnivariateRepresentationPackage ++ Author: Marc Moreno Maza ++ Date Created: 01/1999 @@ -139787,13 +139790,13 @@ rur(lp: List P): List RUR == rur(lp,true) -@ -<>= +\end{chunk} +\begin{chunk}{RURPK.dotabb} "RURPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RURPK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "RURPK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package POLUTIL RealPolynomialUtilitiesPackage} This file describes the Real Closure 1.0 package which consists of different @@ -139853,7 +139856,7 @@ \cross{POLUTIL}{sylvesterSequence} &&& \end{tabular} -<>= +\begin{chunk}{package POLUTIL RealPolynomialUtilitiesPackage} )abbrev package POLUTIL RealPolynomialUtilitiesPackage ++ Author: Renaud Rioboo ++ Date Created: summer 1992 @@ -139966,16 +139969,16 @@ lazyVariations([first(l)],sl,s) + lazyVariations(rest(rest(l)),s,sh) -@ -<>= +\end{chunk} +\begin{chunk}{POLUTIL.dotabb} "POLUTIL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=POLUTIL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "POLUTIL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REALSOLV RealSolvePackage} -<>= +\begin{chunk}{RealSolvePackage.input} )set break resume )sys rm -f RealSolvePackage.output )spool RealSolvePackage.output @@ -140092,8 +140095,8 @@ --E 13 )spool -@ -<>= +\end{chunk} +\begin{chunk}{RealSolvePackage.help} ==================================================================== RealSolvePackage examples ==================================================================== @@ -140125,7 +140128,7 @@ See Also: o )show RealSolvePackage -@ +\end{chunk} \pagehead{RealSolvePackage}{REALSOLV} \pagepic{ps/v104realsolvepackage.ps}{REALSOLV}{1.00} @@ -140135,7 +140138,7 @@ \cross{REALSOLV}{solve} \end{tabular} -<>= +\begin{chunk}{package REALSOLV RealSolvePackage} )abbrev package REALSOLV RealSolvePackage ++ Description: ++ This package provides numerical solutions of systems of @@ -140196,13 +140199,13 @@ realSolve(lp,lv,eps) == realRoots(map(pi2rfi, lp)$ListFunctions2(P I,RFI),lv,eps)$SOLV -@ -<>= +\end{chunk} +\begin{chunk}{REALSOLV.dotabb} "REALSOLV" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REALSOLV"] "Package" [color="#FF4488"] "REALSOLV" -> "Package" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REAL0 RealZeroPackage} \pagehead{RealZeroPackage}{REAL0} @@ -140216,7 +140219,7 @@ \cross{REAL0}{refine} \end{tabular} -<>= +\begin{chunk}{package REAL0 RealZeroPackage} )abbrev package REAL0 RealZeroPackage ++ Author: Andy Neff ++ Date Created: @@ -140507,13 +140510,13 @@ xfl := true [a, b]$Interval -@ -<>= +\end{chunk} +\begin{chunk}{REAL0.dotabb} "REAL0" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REAL0"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "REAL0" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REAL0Q RealZeroPackageQ} \pagehead{RealZeroPackageQ}{REAL0Q} @@ -140525,7 +140528,7 @@ \cross{REAL0Q}{refine} \end{tabular} -<>= +\begin{chunk}{package REAL0Q RealZeroPackageQ} )abbrev package REAL0Q RealZeroPackageQ ++ Author: Andy Neff, Barry Trager ++ Date Created: @@ -140598,13 +140601,13 @@ refine(f : Pol, int : Interval, bounds : Interval) == refine(convert2PolInt f, int, bounds) -@ -<>= +\end{chunk} +\begin{chunk}{REAL0Q.dotabb} "REAL0Q" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REAL0Q"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "REAL0Q" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RMCAT2 RectangularMatrixCategoryFunctions2} \pagehead{RectangularMatrixCategoryFunctions2}{RMCAT2} @@ -140616,7 +140619,7 @@ \cross{RMCAT2}{reduce} \end{tabular} -<>= +\begin{chunk}{package RMCAT2 RectangularMatrixCategoryFunctions2} )abbrev package RMCAT2 RectangularMatrixCategoryFunctions2 ++ Author: Clifton J. Williamson ++ Date Created: 21 November 1989 @@ -140675,13 +140678,13 @@ s := f(qelt(mat,i,j),s) s -@ -<>= +\end{chunk} +\begin{chunk}{RMCAT2.dotabb} "RMCAT2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RMCAT2"] "RMATCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RMATCAT"] "RMCAT2" -> "RMATCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RECOP RecurrenceOperator} The package defined in this file provide an operator for the @@ -140701,7 +140704,7 @@ \cross{RECOP}{shiftInfoRec} & \end{tabular} -<>= +\begin{chunk}{package RECOP RecurrenceOperator} )abbrev package RECOP RecurrenceOperator ++ Author: Martin Rubey ++ Description: @@ -140759,8 +140762,8 @@ ker: Kernel F) Implementation == add -<> -@ +\getchunk{implementation: RecurrenceOperator} +\end{chunk} \subsection{Defining new operators} @@ -140769,51 +140772,51 @@ term of the corresponding sequence, the other the coefficient of $x^n$ in the Taylor series expansion. -<>= +\begin{chunk}{implementation: RecurrenceOperator} oprecur := operator("rootOfRec"::Symbol)$BasicOperator opADE := operator("rootOfADE"::Symbol)$BasicOperator setProperty(oprecur, "%dummyVar", 2 pretend None) setProperty(opADE, "%dummyVar", 2 pretend None) -@ +\end{chunk} Setting these properties implies that the second and third arguments of oprecur -are dummy variables and affects [[tower$ES]]: the second argument will not -appear in [[tower$ES]], if it does not appear in any argument but the first and -second. The third argument will not appear in [[tower$ES]], if it does not appear -in any other argument. ([[%defsum]] is a good example) +are dummy variables and affects \verb|tower$ES|: the second argument will not +appear in \verb|tower$ES|, if it does not appear in any argument but the +first and second. The third argument will not appear in \verb|tower$ES|, +if it does not appear in any other argument. (\verb|%defsum| is a good example) The arguments of the two operators are as follows: \begin{enumerate} -\item [[eq]], i.e. the vanishing expression +\item eq, i.e. the vanishing expression -<>= +\begin{chunk}{implementation: RecurrenceOperator} eqAsF: List F -> F eqAsF l == l.1 -@ +\end{chunk} -\item [[dummy]], a dummy variable to make substitutions possible +\item dummy, a dummy variable to make substitutions possible -<>= +\begin{chunk}{implementation: RecurrenceOperator} dummy: List F -> Symbol dummy l == retract(l.2)@Symbol dummyAsF: List F -> F dummyAsF l == l.2 -@ +\end{chunk} \item the variable for display -<>= +\begin{chunk}{implementation: RecurrenceOperator} displayVariable: List F -> F displayVariable l == l.3 -@ +\end{chunk} -\item [[operatorName(argument)]] +\item operatorName(argument) -<>= +\begin{chunk}{implementation: RecurrenceOperator} operatorName: List F -> BasicOperator operatorName l == operator(kernels(l.4).1) @@ -140822,27 +140825,27 @@ operatorArgument: List F -> F operatorArgument l == argument(kernels(l.4).1).1 -@ +\end{chunk} -Concerning [[rootOfADE]], note that although we have [[arg]] as argument of the +Concerning rootOfADE, note that although we have arg as argument of the operator, it is intended to indicate the coefficient, not the argument of the power series. -\item [[values]] in reversed order. +\item values in reversed order. \begin{itemize} - \item [[rootOfRec]]: maybe [[values]] should be preceded by the index of the + \item rootOfRec: maybe values should be preceded by the index of the first given value. Currently, the last value is interpreted as $f(0)$. - \item [[rootOfADE]]: values are the first few coefficients of the power + \item rootOfADE: values are the first few coefficients of the power series expansion in order. \end{itemize} -<>= +\begin{chunk}{implementation: RecurrenceOperator} initialValues: List F -> List F initialValues l == rest(l, 4) -@ +\end{chunk} \end{enumerate} \subsection{Recurrences} @@ -140852,7 +140855,7 @@ We need to find out wether we can determine the next term of the sequence, and how many initial values are necessary. -<>= +\begin{chunk}{implementation: RecurrenceOperator} if R has Ring then getShiftRec(op: BasicOperator, f: Kernel F, n: Symbol) : Union(Integer, "failed") == @@ -140914,11 +140917,11 @@ if error? then error "evalRec: equation does not contain operator" [maxShift, maxShift - minShift, nextKernel] -@ +\end{chunk} \subsubsection{Evaluating a recurrence} -<>= +\begin{chunk}{implementation: RecurrenceOperator} evalRec(op, argsym, argdisp, arg, eq, values) == if ((n := retractIfCan(arg)@Union(Integer, "failed")) case "failed") or (n < 0) @@ -140986,14 +140989,14 @@ numberOfValuesNeeded(numberOfValues: Integer, op: BasicOperator, argsym: Symbol, eq: F): Integer == numberOfValues -@ +\end{chunk} -\subsubsection{Setting the evaluation property of [[oprecur]]} +\subsubsection{Setting the evaluation property of oprecur} -[[irecur]] is just a wrapper that allows us to write a recurrence relation as +irecur is just a wrapper that allows us to write a recurrence relation as an operator. -<>= +\begin{chunk}{implementation: RecurrenceOperator} irecur: List F -> F irecur l == evalRec(operatorName l, @@ -141002,11 +141005,11 @@ evaluate(oprecur, irecur)$BasicOperatorFunctions1(F) -@ +\end{chunk} \subsubsection{Displaying a recurrence relation} -<>= +\begin{chunk}{implementation: RecurrenceOperator} ddrec: List F -> OutputForm ddrec l == op := operatorName l @@ -141029,7 +141032,7 @@ setProperty(oprecur, "%specialDisp", ddrec@(List F -> OutputForm) pretend None) -@ +\end{chunk} \subsection{Functional Equations} @@ -141040,7 +141043,7 @@ $f^{(i)}$ for $i\in\{0,1,\dots,r\}$, plug in the given truncated power series solution and determine the valuation. -<>= +\begin{chunk}{NOTYET implementation: RecurrenceOperator} getValuation(op, argsym, eq, maxorder, values): Integer == max: Integer := -1; ker: Kernel F @@ -141049,13 +141052,13 @@ pol := univariate(eq, ker) dif := D pol ground numer(dif.D(op(argsym), argsym, i)) -@ +\end{chunk} \subsubsection{Extracting some information from the functional equation} -[[getOrder]] returns the maximum derivative of [[op]] occurring in [[f]]. +getOrder returns the maximum derivative of op occurring in f. -<>= +\begin{chunk}{implementation: RecurrenceOperator} getOrder(op: BasicOperator, f: Kernel F): NonNegativeInteger == res: NonNegativeInteger := 0 g := f @@ -141065,11 +141068,11 @@ if is?(g, op) then res else 0 -@ +\end{chunk} \subsubsection{Extracting a coefficient given a functional equation} -<>= +\begin{chunk}{implementation: RecurrenceOperator} evalADE(op, argsym, argdisp, arg, eq, values) == if not freeOf?(eq, retract(argdisp)@Symbol) then error "RECOP: The argument should not be used in the equation of the_ @@ -141159,11 +141162,11 @@ error "getOp: argument should be a single rootOfADE or rootOfRec object" -@ +\end{chunk} %$ \subsubsection{Displaying a functional equation} -<>= +\begin{chunk}{implementation: RecurrenceOperator} ddADE: List F -> OutputForm ddADE l == op := operatorName l @@ -141185,13 +141188,13 @@ setProperty(opADE, "%specialDisp", ddADE@(List F -> OutputForm) pretend None) -@ -<>= +\end{chunk} +\begin{chunk}{RECOP.dotabb} "RECOP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RECOP"] "EXPRSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=EXPRSOL"] "RECOP" -> "EXPRSOL" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RDIV ReducedDivisor} \pagehead{ReducedDivisor}{RDIV} @@ -141200,7 +141203,7 @@ {\bf Exports:}\\ \cross{RDIV}{order} -<>= +\begin{chunk}{package RDIV ReducedDivisor} )abbrev package RDIV ReducedDivisor ++ Author: Manuel Bronstein ++ Date Created: 1988 @@ -141250,13 +141253,13 @@ d)$FiniteDivisorFunctions2(F1,UP,UPUP,R,F2,UP2,UPUP2,curve) )$FindOrderFinite(F2, UP2, UPUP2, curve) -@ -<>= +\end{chunk} +\begin{chunk}{RDIV.dotabb} "RDIV" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RDIV"] "FFCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FFCAT"] "RDIV" -> "FFCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODERED ReduceLODE} \pagehead{ReduceLODE}{ODERED} @@ -141265,7 +141268,7 @@ {\bf Exports:}\\ \cross{ODERED}{reduceLODE} -<>= +\begin{chunk}{package ODERED ReduceLODE} )abbrev package ODERED ReduceLODE ++ Author: Manuel Bronstein ++ Date Created: 19 August 1991 @@ -141322,13 +141325,13 @@ mdi := md * mdi [sys, coordinates g] -@ -<>= +\end{chunk} +\begin{chunk}{ODERED.dotabb} "ODERED" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODERED"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "ODERED" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REDORDER ReductionOfOrder} \pagehead{ReductionOfOrder}{REDORDER} @@ -141337,7 +141340,7 @@ {\bf Exports:}\\ \cross{REDORDER}{ReduceOrder} -<>= +\begin{chunk}{package REDORDER ReductionOfOrder} )abbrev package REDORDER ReductionOfOrder ++ Author: Manuel Bronstein ++ Date Created: 4 November 1991 @@ -141401,15 +141404,15 @@ ans := ans + monomial(ithcoef(eq, i, s), i) ans -@ -<>= +\end{chunk} +\begin{chunk}{REDORDER.dotabb} "REDORDER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REDORDER"] "OREPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OREPCAT"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "REDORDER" -> "OREPCAT" "REDORDER" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RSDCMPK RegularSetDecompositionPackage} \pagehead{RegularSetDecompositionPackage}{RSDCMPK} @@ -141428,7 +141431,7 @@ \cross{RSDCMPK}{upDateBranches} && \end{tabular} -<>= +\begin{chunk}{package RSDCMPK RegularSetDecompositionPackage} )abbrev package RSDCMPK RegularSetDecompositionPackage ++ Author: Marc Moreno Maza ++ Date Created: 09/16/1998 @@ -141704,13 +141707,13 @@ -- branches := concat(branches,current) removeSuperfluousCases(branches)$quasicomppack -@ -<>= +\end{chunk} +\begin{chunk}{RSDCMPK.dotabb} "RSDCMPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RSDCMPK"] "RSETCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RSETCAT"] "RSDCMPK" -> "RSETCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RSETGCD RegularTriangularSetGcdPackage} \pagehead{RegularTriangularSetGcdPackage}{RSETGCD} @@ -141730,7 +141733,7 @@ \cross{RSETGCD}{toseSquareFreePart} && \end{tabular} -<>= +\begin{chunk}{package RSETGCD RegularTriangularSetGcdPackage} )abbrev package RSETGCD RegularTriangularSetGcdPackage ++ Author: Marc Moreno Maza (marc@nag.co.uk) ++ Date Created: 08/30/1998 @@ -142084,13 +142087,13 @@ if odd?(mdeg(p1)) and odd?(mdeg(p2)) then p2 := - p2 internalLastSubResultant(p1,p2,ts,false,false) -@ -<>= +\end{chunk} +\begin{chunk}{RSETGCD.dotabb} "RSETGCD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RSETGCD"] "RPOLCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RPOLCAT"] "RSETGCD" -> "RPOLCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REPDB RepeatedDoubling} \pagehead{RepeatedDoubling}{REPDB} @@ -142099,7 +142102,7 @@ {\bf Exports:}\\ \cross{REPDB}{double} -<>= +\begin{chunk}{package REPDB RepeatedDoubling} )abbrev package REPDB RepeatedDoubling ++ Description: ++ Implements multiplication by repeated addition @@ -142127,15 +142130,15 @@ x + double(shift(n,-1) pretend PositiveInteger,(x+x)) double(shift(n,-1) pretend PositiveInteger,(x+x)) -@ -<>= +\end{chunk} +\begin{chunk}{REPDB.dotabb} "REPDB" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REPDB"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "REPDB" -> "BASTYPE" "REPDB" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REPSQ RepeatedSquaring} This code computes $x^n$ by repeated squaring. It takes advantage of the @@ -142160,7 +142163,7 @@ {\bf Exports:}\\ \cross{REPSQ}{expt} -<>= +\begin{chunk}{package REPSQ RepeatedSquaring} )abbrev package REPSQ RepeatedSquaring ++ Description: ++ Implements exponentiation by repeated squaring @@ -142187,15 +142190,15 @@ odd?(n)$Integer=> x * expt(x*x,shift(n,-1) pretend PositiveInteger) expt(x*x,shift(n,-1) pretend PositiveInteger) -@ -<>= +\end{chunk} +\begin{chunk}{REPSQ.dotabb} "REPSQ" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REPSQ"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "REPSQ" -> "BASTYPE" "REPSQ" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REP1 RepresentationPackage1} \pagehead{RepresentationPackage1}{REP1} @@ -142210,7 +142213,7 @@ \cross{REP1}{tensorProduct} & \end{tabular} -<>= +\begin{chunk}{package REP1 RepresentationPackage1} )abbrev package REP1 RepresentationPackage1 ++ Authors: Holger Gollan, Johannes Grabmeier, Thorsten Werther ++ Date Created: 12 September 1987 @@ -142537,13 +142540,13 @@ res(i,j) := (sy :: P R) res -@ -<>= +\end{chunk} +\begin{chunk}{REP1.dotabb} "REP1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REP1"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "REP1" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package REP2 RepresentationPackage2} \pagehead{RepresentationPackage2}{REP2} @@ -142562,7 +142565,7 @@ \cross{REP2}{standardBasisOfCyclicSubmodule} & \end{tabular} -<>= +\begin{chunk}{package REP2 RepresentationPackage2} )abbrev package REP2 RepresentationPackage2 ++ Authors: Holger Gollan, Johannes Grabmeier ++ Date Created: 10 September 1987 @@ -143334,13 +143337,13 @@ result.j := result.j + newAdd.j result -@ -<>= +\end{chunk} +\begin{chunk}{REP2.dotabb} "REP2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=REP2"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "REP2" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RESLATC ResolveLatticeCompletion} \pagehead{ResolveLatticeCompletion}{RESLATC} @@ -143349,7 +143352,7 @@ {\bf Exports:}\\ \cross{RESLATC}{coerce} -<>= +\begin{chunk}{package RESLATC ResolveLatticeCompletion} )abbrev package RESLATC ResolveLatticeCompletion ++ Author: Stephen M. Watt ++ Date Created: 1986 @@ -143382,13 +143385,13 @@ coerce(e: Exit): S == error "Bug: Should not be able to obtain value of type Exit" -@ -<>= +\end{chunk} +\begin{chunk}{RESLATC.dotabb} "RESLATC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RESLATC"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "RESLATC" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RETSOL RetractSolvePackage} \pagehead{RetractSolvePackage}{RETSOL} @@ -143397,7 +143400,7 @@ {\bf Exports:}\\ \cross{RETSOL}{solveRetract} -<>= +\begin{chunk}{package RETSOL RetractSolvePackage} )abbrev package RETSOL RetractSolvePackage ++ Author: Manuel Bronstein ++ Date Created: 31 October 1991 @@ -143461,16 +143464,16 @@ up := reductum up ans -@ -<>= +\end{chunk} +\begin{chunk}{RETSOL.dotabb} "RETSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RETSOL"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RETSOL" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RFP RootsFindingPackage} -<>= +\begin{chunk}{RootsFindingPackage.input} )set break resume )sys rm -f RootsFindingPackage.output )spool RootsFindingPackage.output @@ -143494,8 +143497,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{RootsFindingPackage.help} ==================================================================== RootsFindingPackage examples ==================================================================== @@ -143503,7 +143506,7 @@ See Also: o )show RootsFindingPackage -@ +\end{chunk} \pagehead{RootsFindingPackage}{RFP} \pagepic{ps/v104rootsfindingpackage.eps}{RFP}{1.00} @@ -143513,7 +143516,7 @@ \cross{RFP}{foundZeroes} \cross{RFP}{setFoundZeroes} -<>= +\begin{chunk}{package RFP RootsFindingPackage} )abbrev package RFP RootsFindingPackage ++ Authors: G. Hache ++ Date Created: 6 0ct 1994 @@ -143629,13 +143632,13 @@ oldListOfAllZeroes -@ -<>= +\end{chunk} +\begin{chunk}{RFP.dotabb} "RFP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RFP"] "PACRATC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PACRATC"] "RFP" -> "PACRATC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter S} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -143646,7 +143649,7 @@ {\bf Exports:}\\ \cross{SAERFFC}{factor} -<>= +\begin{chunk}{package SAERFFC SAERationalFunctionAlgFactor} )abbrev package SAERFFC SAERationalFunctionAlgFactor ++ Author: Patrizia Gianni ++ Date Created: ??? @@ -143671,13 +143674,13 @@ factor(q, factor$RationalFunctionFactor(UP) )$InnerAlgFactor(Fraction Polynomial Integer, UP, SAE, UPA) -@ -<>= +\end{chunk} +\begin{chunk}{SAERFFC.dotabb} "SAERFFC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SAERFFC"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "SAERFFC" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package FORMULA1 ScriptFormulaFormat1} \pagehead{ScriptFormulaFormat1}{FORMULA1} @@ -143686,7 +143689,7 @@ {\bf Exports:}\\ \cross{FORMULA1}{coerce} -<>= +\begin{chunk}{package FORMULA1 ScriptFormulaFormat1} )abbrev package FORMULA1 ScriptFormulaFormat1 ++ Author: Robert S. Sutor ++ Date Created: 1987 through 1990 @@ -143719,15 +143722,15 @@ coerce(s : S): ScriptFormulaFormat == coerce(s :: OutputForm)$ScriptFormulaFormat -@ -<>= +\end{chunk} +\begin{chunk}{FORMULA1.dotabb} "FORMULA1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=FORMULA1"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "FORMULA1" -> "BASTYPE" "FORMULA1" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SEGBIND2 SegmentBindingFunctions2} \pagehead{SegmentBindingFunctions2}{SEGBIND2} @@ -143736,7 +143739,7 @@ {\bf Exports:}\\ \cross{SEGBIND2}{map} -<>= +\begin{chunk}{package SEGBIND2 SegmentBindingFunctions2} )abbrev package SEGBIND2 SegmentBindingFunctions2 ++ Author: ++ Date Created: @@ -143759,13 +143762,13 @@ map(f, b) == equation(variable b, map(f, segment b)$SegmentFunctions2(R, S)) -@ -<>= +\end{chunk} +\begin{chunk}{SEGBIND2.dotabb} "SEGBIND2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SEGBIND2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "SEGBIND2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SEG2 SegmentFunctions2} \pagehead{SegmentFunctions2}{SEG2} @@ -143774,7 +143777,7 @@ {\bf Exports:}\\ \cross{SEG2}{map} -<>= +\begin{chunk}{package SEG2 SegmentFunctions2} )abbrev package SEG2 SegmentFunctions2 ++ Author: ++ Date Created: @@ -143822,13 +143825,13 @@ l := l + inc reverse_! lr -@ -<>= +\end{chunk} +\begin{chunk}{SEG2.dotabb} "SEG2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SEG2"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "SEG2" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SAEFACT SimpleAlgebraicExtensionAlgFactor} \pagehead{SimpleAlgebraicExtensionAlgFactor}{SAEFACT} @@ -143837,7 +143840,7 @@ {\bf Exports:}\\ \cross{SAEFACT}{factor} -<>= +\begin{chunk}{package SAEFACT SimpleAlgebraicExtensionAlgFactor} )abbrev package SAEFACT SimpleAlgebraicExtensionAlgFactor ++ Author: Patrizia Gianni ++ Date Created: ??? @@ -143862,13 +143865,13 @@ factor(q, factor$RationalFactorize(UP) )$InnerAlgFactor(Fraction Integer, UP, SAE, UPA) -@ -<>= +\end{chunk} +\begin{chunk}{SAEFACT.dotabb} "SAEFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SAEFACT"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "SAEFACT" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SIMPAN SimplifyAlgebraicNumberConvertPackage} \pagehead{SimplifyAlgebraicNumberConvertPackage}{SIMPAN} @@ -143877,7 +143880,7 @@ {\bf Exports:}\\ \cross{SIMPAN}{simplify} -<>= +\begin{chunk}{package SIMPAN SimplifyAlgebraicNumberConvertPackage} )abbrev package SIMPAN SimplifyAlgebraicNumberConvertPackage ++ Description: ++ Package to allow simplify to be called on AlgebraicNumbers @@ -143890,13 +143893,13 @@ simplify(a:AlgebraicNumber) == simplify(a::Expression(Integer))$TranscendentalManipulations(Integer, Expression Integer) -@ -<>= +\end{chunk} +\begin{chunk}{SIMPAN.dotabb} "SIMPAN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SIMPAN"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "SIMPAN" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SMITH SmithNormalForm} \pagehead{SmithNormalForm}{SMITH} @@ -143911,7 +143914,7 @@ \cross{SMITH}{smith} \end{tabular} -<>= +\begin{chunk}{package SMITH SmithNormalForm} )abbrev package SMITH SmithNormalForm ++ Author: Patrizia Gianni ++ Date Created: October 1992 @@ -144139,13 +144142,13 @@ lsol:List Col := [column(rm,i) for i in (dk+1)..n1] [sol,lsol] -@ -<>= +\end{chunk} +\begin{chunk}{SMITH.dotabb} "SMITH" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SMITH"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SMITH" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SCACHE SortedCache} \pagehead{SortedCache}{SCACHE} @@ -144158,7 +144161,7 @@ \cross{SCACHE}{enterInCache} \end{tabular} -<>= +\begin{chunk}{package SCACHE SortedCache} )abbrev package SCACHE SortedCache ++ Author: Manuel Bronstein ++ Date Created: 31 Oct 1988 @@ -144237,13 +144240,13 @@ cach.cche := concat(before, concat(x, after)) x -@ -<>= +\end{chunk} +\begin{chunk}{SCACHE.dotabb} "SCACHE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SCACHE"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "SCACHE" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SORTPAK SortPackage} \pagehead{SortPackage}{SORTPAK} @@ -144255,7 +144258,7 @@ \cross{SORTPAK}{insertionSort!} \end{tabular} -<>= +\begin{chunk}{package SORTPAK SortPackage} )abbrev package SORTPAK SortPackage ++ Description: ++ This package exports sorting algorithnms @@ -144307,15 +144310,15 @@ l := l.rest m -@ -<>= +\end{chunk} +\begin{chunk}{SORTPAK.dotabb} "SORTPAK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SORTPAK"] "IXAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=IXAGG"] "EVALAB" [color="#4488FF",href="bookvol10.2.pdf#nameddest=EVALAB"] "SORTPAK" -> "IXAGG" "SORTPAK" -> "EVALAB" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SUP2 SparseUnivariatePolynomialFunctions2} \pagehead{SparseUnivariatePolynomialFunctions2}{SUP2} @@ -144324,7 +144327,7 @@ {\bf Exports:}\\ \cross{SUP2}{map} -<>= +\begin{chunk}{package SUP2 SparseUnivariatePolynomialFunctions2} )abbrev package SUP2 SparseUnivariatePolynomialFunctions2 ++ Author: ++ Date Created: @@ -144351,15 +144354,15 @@ map(f, p) == map(f, p)$UnivariatePolynomialCategoryFunctions2(R, SparseUnivariatePolynomial R, S, SparseUnivariatePolynomial S) -@ -<>= +\end{chunk} +\begin{chunk}{SUP2.dotabb} "SUP2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SUP2"] "LMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LMODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "SUP2" -> "LMODULE" "SUP2" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SPECOUT SpecialOutputPackage} \pagehead{SpecialOutputPackage}{SPECOUT} @@ -144372,7 +144375,7 @@ \cross{SPECOUT}{outputAsScript} \end{tabular} -<>= +\begin{chunk}{package SPECOUT SpecialOutputPackage} )abbrev package SPECOUT SpecialOutputPackage ++ Author: Stephen M. Watt ++ Date Created: September 1986 @@ -144451,13 +144454,13 @@ texFormat$Lisp juxtaposeTerms l void()$Void -@ -<>= +\end{chunk} +\begin{chunk}{SPECOUT.dotabb} "SPECOUT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SPECOUT"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SPECOUT" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SFQCMPK SquareFreeQuasiComponentPackage} \pagehead{SquareFreeQuasiComponentPackage}{SFQCMPK} @@ -144484,11 +144487,11 @@ \cross{SFQCMPK}{supDimElseRittWu?} & \end{tabular} -<>= +\begin{chunk}{SFQCMPK.dotabb} "SFQCMPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SFQCMPK"] -@ -<>= +\end{chunk} +\begin{chunk}{package SFQCMPK SquareFreeQuasiComponentPackage} )abbrev package SFQCMPK SquareFreeQuasiComponentPackage ++ Author: Marc Moreno Maza ++ Date Created: 09/23/1998 @@ -144887,13 +144890,13 @@ toSee := branches sort((x,y) +-> supDimElseRittWu?(x.tower,y.tower),toSee) -@ -<>= +\end{chunk} +\begin{chunk}{SFQCMPK.dotabb} "SFQCMPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SFQCMPK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "SFQCMPK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SRDCMPK SquareFreeRegularSetDecompositionPackage} \pagehead{SquareFreeRegularSetDecompositionPackage}{SRDCMPK} @@ -144912,7 +144915,7 @@ \cross{SRDCMPK}{upDateBranches} \end{tabular} -<>= +\begin{chunk}{package SRDCMPK SquareFreeRegularSetDecompositionPackage} )abbrev package SRDCMPK SquareFreeRegularSetDecompositionPackage ++ Author: Marc Moreno Maza ++ Date Created: 09/23/1998 @@ -145186,13 +145189,13 @@ -- branches := concat(branches,current) removeSuperfluousCases(branches)$quasicomppack -@ -<>= +\end{chunk} +\begin{chunk}{SRDCMPK.dotabb} "SRDCMPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SRDCMPK"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "SRDCMPK" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SFRGCD SquareFreeRegularTriangularSetGcdPackage} \pagehead{SquareFreeRegularTriangularSetGcdPackage}{SFRGCD} @@ -145217,7 +145220,7 @@ \cross{SFRGCD}{stoseSquareFreePart} & \end{tabular} -<>= +\begin{chunk}{package SFRGCD SquareFreeRegularTriangularSetGcdPackage} )abbrev package SFRGCD SquareFreeRegularTriangularSetGcdPackage ++ Author: Marc Moreno Maza ++ Date Created: 09/23/1998 @@ -145664,13 +145667,13 @@ stoseInvertibleSet(p:P,ts:TS): Split == stoseInvertibleSet_reg(p,ts) -@ -<>= +\end{chunk} +\begin{chunk}{SFRGCD.dotabb} "SFRGCD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SFRGCD"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "SFRGCD" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package MATSTOR StorageEfficientMatrixOperations} \pagehead{StorageEfficientMatrixOperations}{MATSTOR} @@ -145688,7 +145691,7 @@ \cross{MATSTOR}{?**?} && \end{tabular} -<>= +\begin{chunk}{package MATSTOR StorageEfficientMatrixOperations} )abbrev package MATSTOR StorageEfficientMatrixOperations ++ Author: Clifton J. Williamson ++ Date Created: 18 July 1990 @@ -145879,13 +145882,13 @@ a := copy m; b := copy m; c := copy m power_!(a,b,c,m,n) -@ -<>= +\end{chunk} +\begin{chunk}{MATSTOR.dotabb} "MATSTOR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=MATSTOR"] "A1AGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=A1AGG"] "MATSTOR" -> "A1AGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STREAM1 StreamFunctions1} \pagehead{StreamFunctions1}{STREAM1} @@ -145894,7 +145897,7 @@ {\bf Exports:}\\ \cross{STREAM1}{concat} -<>= +\begin{chunk}{package STREAM1 StreamFunctions1} )abbrev package STREAM1 StreamFunctions1 ++ Authors: Burge, Watt; updated by Clifton J. Williamson ++ Date Created: July 1986 @@ -145923,13 +145926,13 @@ empty?(x := frst z) => concat rst z concat(frst x,concat(rst x,concat rst z)) -@ -<>= +\end{chunk} +\begin{chunk}{STREAM1.dotabb} "STREAM1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STREAM1"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "STREAM1" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STREAM2 StreamFunctions2} \pagehead{StreamFunctions2}{STREAM2} @@ -145942,7 +145945,7 @@ \cross{STREAM2}{scan} \end{tabular} -<>= +\begin{chunk}{package STREAM2 StreamFunctions2} )abbrev package STREAM2 StreamFunctions2 ++ Authors: Burge, Watt; updated by Clifton J. Williamson ++ Date Created: July 1986 @@ -146016,13 +146019,13 @@ -- empty? x => b -- h(frst x,rreduce(b,h,rst x)) -@ -<>= +\end{chunk} +\begin{chunk}{STREAM2.dotabb} "STREAM2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STREAM2"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "STREAM2" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STREAM3 StreamFunctions3} \pagehead{StreamFunctions3}{STREAM3} @@ -146031,7 +146034,7 @@ {\bf Exports:}\\ \cross{STREAM3}{map} -<>= +\begin{chunk}{package STREAM3 StreamFunctions3} )abbrev package STREAM3 StreamFunctions3 ++ Authors: Burge, Watt; updated by Clifton J. Williamson ++ Date Created: July 1986 @@ -146072,13 +146075,13 @@ eq?(y,rst y) => map(z +-> g(z,frst y),x)$StreamFunctions2(A,C) mapp(g,x,y) -@ -<>= +\end{chunk} +\begin{chunk}{STREAM3.dotabb} "STREAM3" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STREAM3"] "TYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TYPE"] "STREAM3" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STINPROD StreamInfiniteProduct} \pagehead{StreamInfiniteProduct}{STINPROD} @@ -146092,7 +146095,7 @@ \cross{STINPROD}{oddInfiniteProduct} \end{tabular} -<>= +\begin{chunk}{package STINPROD StreamInfiniteProduct} )abbrev package STINPROD StreamInfiniteProduct ++ Author: Clifton J. Williamson ++ Date Created: 23 February 1990 @@ -146160,18 +146163,18 @@ generalInfiniteProduct(st,a,d) == applyOverQF(z1 +-> exp generalLambert(log z1,a,d),st) -@ -<>= +\end{chunk} +\begin{chunk}{STINPROD.dotabb} "STINPROD" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STINPROD"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "STINPROD" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STTAYLOR StreamTaylorSeriesOperations} Problems raising a UTS to a negative integer power. -The code in [[powern(rn,x)]] which raises an unnecessary error +The code in powern(rn,x) which raises an unnecessary error where no distinction between rational and integer powers are made. The fix is easy. Since the problem does not exist in SUPS we can @@ -146218,7 +146221,7 @@ \cross{STTAYLOR}{-?} & \end{tabular} -<>= +\begin{chunk}{package STTAYLOR StreamTaylorSeriesOperations} )abbrev package STTAYLOR StreamTaylorSeriesOperations ++ Author: William Burge, Stephen Watt, Clifton J. Williamson ++ Date Created: 1986 @@ -146671,16 +146674,16 @@ concat(frst x,finteg((s+1)*(c*deriv x))-rst x * c) power(s,x) == YS(y +-> powerre(s,x,y)) -@ -<>= +\end{chunk} +\begin{chunk}{STTAYLOR.dotabb} "STTAYLOR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STTAYLOR"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "STTAYLOR" -> "FIELD" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STNSR StreamTensor} -<>= +\begin{chunk}{StreamTensor.input} )set break resume )sys rm -f StreamTensor.output )spool StreamTensor.output @@ -146702,8 +146705,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{StreamTensor.help} ==================================================================== StreamTensor examples ==================================================================== @@ -146711,14 +146714,14 @@ See Also: o )show StreamTensor -@ +\end{chunk} \pagehead{StreamTensor}{STNSR} \pagepic{ps/v104streamtensor.eps}{STNSR}{1.00} {\bf Exports:}\\ \cross{STNSR}{tensorMap} -<>= +\begin{chunk}{package STNSR StreamTensor} )abbrev package STNSR StreamTensor StreamTensor(R: Type): with @@ -146732,13 +146735,13 @@ empty? s => empty() concat([f first s], delay tensorMap(rest s, f)) -@ -<>= +\end{chunk} +\begin{chunk}{STNSR.dotabb} "STNSR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STNSR"] "TYPE" [color=lightblue,href="bookvol10.2.pdf#nameddest=TYPE"]; "STNSR" -> "TYPE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STTF StreamTranscendentalFunctions} \pagehead{StreamTranscendentalFunctions}{STTF} @@ -146764,7 +146767,7 @@ \cross{STTF}{?**?} &&&& \end{tabular} -<>= +\begin{chunk}{package STTF StreamTranscendentalFunctions} )abbrev package STTF StreamTranscendentalFunctions ++ Author: William Burge, Clifton J. Williamson ++ Date Created: 1986 @@ -147213,13 +147216,13 @@ log(((1 :: ST) + powern(1/2,x))/z) error concat("acsch: ",TRCONST) -@ -<>= +\end{chunk} +\begin{chunk}{STTF.dotabb} "STTF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STTF"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "STTF" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package STTFNC StreamTranscendentalFunctionsNonCommutative} \pagehead{StreamTranscendentalFunctionsNonCommutative}{STTFNC} @@ -147243,7 +147246,7 @@ \cross{STTFNC}{?**?} & \end{tabular} -<>= +\begin{chunk}{package STTFNC StreamTranscendentalFunctionsNonCommutative} )abbrev package STTFNC StreamTranscendentalFunctionsNonCommutative ++ Author: Clifton J. Williamson ++ Date Created: 26 May 1994 @@ -147480,13 +147483,13 @@ asech z == error "asech: asech undefined on this coefficient domain" acsch z == error "acsch: acsch undefined on this coefficient domain" -@ -<>= +\end{chunk} +\begin{chunk}{STTFNC.dotabb} "STTFNC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=STTFNC"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "STTFNC" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SCPKG StructuralConstantsPackage} \pagehead{StructuralConstantsPackage}{SCPKG} @@ -147498,7 +147501,7 @@ \cross{SCPKG}{structuralConstants} \end{tabular} -<>= +\begin{chunk}{package SCPKG StructuralConstantsPackage} )abbrev package SCPKG StructuralConstantsPackage ++ Authors: J. Grabmeier ++ Date Created: 02 April 1992 @@ -147635,13 +147638,13 @@ lscopy := rest lscopy vector reverse gamma -@ -<>= +\end{chunk} +\begin{chunk}{SCPKG.dotabb} "SCPKG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SCPKG"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SCPKG" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SHP SturmHabichtPackage} \pagehead{SturmHabichtPackage}{SHP} @@ -147658,7 +147661,7 @@ \cross{SHP}{subresultantSequence} & \end{tabular} -<>= +\begin{chunk}{package SHP SturmHabichtPackage} )abbrev package SHP SturmHabichtPackage ++ Author: Lalo Gonzalez-Vega ++ Date Created: 1994? @@ -148023,13 +148026,13 @@ countRealRootsMultiple(p1):INT == SturmHabichtMultiple(p1,1) -@ -<>= +\end{chunk} +\begin{chunk}{SHP.dotabb} "SHP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SHP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SHP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SUBRESP SubResultantPackage} \pagehead{SubResultantPackage}{SUBRESP} @@ -148041,7 +148044,7 @@ \cross{SUBRESP}{subresultantVector} \end{tabular} -<>= +\begin{chunk}{package SUBRESP SubResultantPackage} )abbrev package SUBRESP SubResultantPackage ++ Author: Barry Trager, Renaud Rioboo ++ Date Created: 1987 @@ -148170,13 +148173,13 @@ res.(degree p2) := p2 res -@ -<>= +\end{chunk} +\begin{chunk}{SUBRESP.dotabb} "SUBRESP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SUBRESP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SUBRESP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SUPFRACF SupFractionFactorizer} \pagehead{SupFractionFactorizer}{SUPFRACF} @@ -148188,7 +148191,7 @@ \cross{SUPFRACF}{squareFree} \end{tabular} -<>= +\begin{chunk}{package SUPFRACF SupFractionFactorizer} )abbrev package SUPFRACF SupFractionFactorizer ++ Author: P. Gianni ++ Date Created: October 1993 @@ -148253,13 +148256,13 @@ [["sqfr",map(coerce,u.factor)$UPCF2(P,SUP P,FP,SUP FP), u.exponent] for u in factors ffact]) -@ -<>= +\end{chunk} +\begin{chunk}{SUPFRACF.dotabb} "SUPFRACF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SUPFRACF"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "SUPFRACF" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ODESYS SystemODESolver} \pagehead{SystemODESolver}{ODESYS} @@ -148272,7 +148275,7 @@ \cross{ODESYS}{triangulate} \end{tabular} -<>= +\begin{chunk}{package ODESYS SystemODESolver} )abbrev package ODESYS SystemODESolver ++ Author: Manuel Bronstein ++ Date Created: 11 June 1991 @@ -148508,13 +148511,13 @@ i := i+1 [x, w] -@ -<>= +\end{chunk} +\begin{chunk}{ODESYS.dotabb} "ODESYS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ODESYS"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "ODESYS" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SYSSOLP SystemSolvePackage} \pagehead{SystemSolvePackage}{SYSSOLP} @@ -148526,7 +148529,7 @@ \cross{SYSSOLP}{triangularSystems} \end{tabular} -<>= +\begin{chunk}{package SYSSOLP SystemSolvePackage} )abbrev package SYSSOLP SystemSolvePackage ++ Author: P. Gianni ++ Date Created: summer 1988 @@ -148767,13 +148770,13 @@ for pr in parRes] else [[]] -@ -<>= +\end{chunk} +\begin{chunk}{SYSSOLP.dotabb} "SYSSOLP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SYSSOLP"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "SYSSOLP" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SGCF SymmetricGroupCombinatoricFunctions} \pagehead{SymmetricGroupCombinatoricFunctions}{SGCF} @@ -148794,7 +148797,7 @@ \cross{SGCF}{unrankImproperPartitions1} & \end{tabular} -<>= +\begin{chunk}{package SGCF SymmetricGroupCombinatoricFunctions} )abbrev package SGCF SymmetricGroupCombinatoricFunctions ++ Authors: Johannes Grabmeier, Thorsten Werther ++ Date Created: 03 September 1988 @@ -149263,13 +149266,13 @@ colematrix(i,j) := #intersect(brace(help),brace(temp(j))) colematrix -@ -<>= +\end{chunk} +\begin{chunk}{SGCF.dotabb} "SGCF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SGCF"] "FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] "SGCF" -> "FSAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SYMFUNC SymmetricFunctions} \pagehead{SymmetricFunctions}{SYMFUNC} @@ -149278,7 +149281,7 @@ {\bf Exports:}\\ \cross{SYMFUNC}{symFunc} -<>= +\begin{chunk}{package SYMFUNC SymmetricFunctions} )abbrev package SYMFUNC SymmetricFunctions ++ Author: Manuel Bronstein ++ Date Created: 13 Feb 1989 @@ -149312,13 +149315,13 @@ qsetelt_!(v, 2*i + m, - qelt(v, 2*i + m)) reverse_! v -@ -<>= +\end{chunk} +\begin{chunk}{SYMFUNC.dotabb} "SYMFUNC" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SYMFUNC"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "SYMFUNC" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter T} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -149343,7 +149346,7 @@ \cross{TABLBUMP}{untab} && \end{tabular} -<>= +\begin{chunk}{package TABLBUMP TableauxBumpers} )abbrev package TABLBUMP TableauxBumpers ++ Author: William H. Burge ++ Date Created: 1987 @@ -149468,15 +149471,15 @@ bat1 llls==untab([],[reverse lls for lls in llls]) bat tb==bat1(listOfLists tb) -@ -<>= +\end{chunk} +\begin{chunk}{TABLBUMP.dotabb} "TABLBUMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TABLBUMP"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "FLAGG-" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FLAGG"] "TABLBUMP" -> "FLAGG-" "TABLBUMP" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TBCMPPK TabulatedComputationPackage} \pagehead{TabulatedComputationPackage}{TBCMPPK} @@ -149496,7 +149499,7 @@ \cross{TBCMPPK}{usingTable?} \end{tabular} -<>= +\begin{chunk}{package TBCMPPK TabulatedComputationPackage} )abbrev package TBCMPPK TabulatedComputationPackage ++ Author: Marc Moreno Maza ++ Date Created: 09/09/1998 @@ -149619,13 +149622,13 @@ if info? then iprint(ko)$iprintpack void() -@ -<>= +\end{chunk} +\begin{chunk}{TBCMPPK.dotabb} "TBCMPPK" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TBCMPPK"] "TBAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=TBAGG"] "TBCMPPK" -> "TBAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TANEXP TangentExpansions} \pagehead{TangentExpansions}{TANEXP} @@ -149638,7 +149641,7 @@ \cross{TANEXP}{tanSum} \end{tabular} -<>= +\begin{chunk}{package TANEXP TangentExpansions} )abbrev package TANEXP TangentExpansions ++ Author: Manuel Bronstein ++ Date Created: 13 Feb 1989 @@ -149690,13 +149693,13 @@ +/[m1toN(i+1) * v(2*i - 1 + m) for i in 1..(#v quo 2)] / +/[m1toN(i) * v(2*i + m) for i in 0..((#v - 1) quo 2)] -@ -<>= +\end{chunk} +\begin{chunk}{TANEXP.dotabb} "TANEXP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TANEXP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "TANEXP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UTSSOL TaylorSolve} @@ -149709,22 +149712,22 @@ \begin{verbatim} Could I either \begin{itemize} - \item take a function [[UTSCAT F -> UTSCAT F]] and still be able to compute + \item take a function UTSCAT F $->$ UTSCAT F and still be able to compute with undetermined coefficients, or - \item take a function [[F -> F]], and do likewise? + \item take a function F $->$ F, and do likewise? \end{itemize} Let's see. Try to compute the equation without resorting to power series. I.e., % - [[c: SUP SUP F]], and [[f: SUP SUP F -> SUP SUP F]]. Won't this make the + c: SUP SUP F, and f: SUP SUP F $->$ SUP SUP F. Won't this make the computation of coefficients terribly slow? I could also try to replace transcendental kernels with variables\dots - Unfortunately, [[SUP F]] does not have [[TRANFUN]] -- well, it can't, of + Unfortunately, SUP F does not have TRANFUN -- well, it can't, of course. However, I'd like to be able to compute % - [[sin(1+monomial(1,1)$UFPS SUP EXPR INT)]]. + sin(1+monomial(1,1)$UFPS SUP EXPR INT). \end{verbatim} \pagehead{TaylorSolve}{UTSSOL} @@ -149733,7 +149736,7 @@ {\bf Exports:}\\ \cross{UTSSOL}{seriesSolve} -<>= +\begin{chunk}{package UTSSOL TaylorSolve} )abbrev package UTSSOL TaylorSolve ++ Description: ++ This package has no description @@ -149749,17 +149752,17 @@ seriesSolve: (UTSSUPF -> UTSSUPF, List F) -> UTSF Implementation == add -<> -@ +\getchunk{implementation: UTSSOL TaylorSolve} +\end{chunk} -<>= +\begin{chunk}{implementation: UTSSOL TaylorSolve} seriesSolve(f, l) == c1 := map((x:F):SUP F +-> x::(SUP F), l) $ListFunctions2(F, SUP F)::(Stream SUP F) coeffs: Stream SUP F := concat(c1, generate(monomial(1$F,1$NNI))) -- coeffs: Stream SUP F := concat(c1, monomial(1$F,1$NNI)) -@ +\end{chunk} coeffs is the stream of the already computed coefficients of the solution, plus one which is so far undetermined. We store in st.2 the complete stream @@ -149767,23 +149770,23 @@ possibly not yet been computed. \begin{verbatim} - The mathematics is not quite worked out. If [[coeffs]] is initialized as + The mathematics is not quite worked out. If coeffs is initialized as stream with all coefficients set to the \emph{same} transcendental value, and not enough initial values are given, then the missing ones are implicitely assumed to be all identical. It may well happen that a solution is produced, although it is not uniquely determined\dots \end{verbatim} -<>= +\begin{chunk}{implementation: UTSSOL TaylorSolve} st: List Stream SUP F := [coeffs, coeffs] -@ +\end{chunk} Consider an arbitrary equation $f\big(x, y(x)\big)=0$. When setting $x=0$, we obtain $f\big(0, y(0)\big)=0$. It is not necessarily the case that this determines $y(0)$ uniquely, so we need one initial value that satisfies this equation. \begin{verbatim} - [[seriesSolve]] should check that the given initial values satisfy $f\big(0, y(0), + seriesSolve should check that the given initial values satisfy $f\big(0, y(0), y'(0),...\big) = 0$. \end{verbatim} Now consider the derivatives of $f$, where we write $y$ instead of $y(x)$ for @@ -149811,29 +149814,29 @@ seems that composition is allowed. \end{verbatim} -<>= +\begin{chunk}{implementation: UTSSOL TaylorSolve} next: () -> F := nr := st.1 res: F if ground?(coeff: SUP F := nr.1)$(SUP F) -@ +\end{chunk} %$ If the next element was already calculated, we can simply return it: -<>= +\begin{chunk}{implementation: UTSSOL TaylorSolve} then res := ground coeff st.1 := rest nr else -@ +\end{chunk} Otherwise, we have to find the first non-satisfied relation and solve it. It should be linear, or a single non-constant monomial. That is, the solution should be unique. -<>= +\begin{chunk}{implementation: UTSSOL TaylorSolve} ns := st.2 eqs: Stream SUP F := coefficients f series ns while zero? first eqs repeat eqs := rest eqs @@ -149855,13 +149858,13 @@ series generate next -@ -<>= +\end{chunk} +\begin{chunk}{UTSSOL.dotabb} "UTSSOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UTSSOL"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "UTSSOL" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TEMUTL TemplateUtilities} \pagehead{TemplateUtilities}{TEMUTL} @@ -149873,7 +149876,7 @@ \cross{TEMUTL}{stripCommentsAndBlanks} \end{tabular} -<>= +\begin{chunk}{package TEMUTL TemplateUtilities} )abbrev package TEMUTL TemplateUtilities ++ Author: Mike Dewar ++ Date Created: October 1992 @@ -149916,13 +149919,13 @@ interpretString(s:String):Any == interpret parse s -@ -<>= +\end{chunk} +\begin{chunk}{TEMUTL.dotabb} "TEMUTL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TEMUTL"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "TEMUTL" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TEX1 TexFormat1} \pagehead{TexFormat1}{TEX1} @@ -149931,7 +149934,7 @@ {\bf Exports:}\\ \cross{TEX1}{coerce} -<>= +\begin{chunk}{package TEX1 TexFormat1} )abbrev package TEX1 TexFormat1 ++ Author: Robert S. Sutor ++ Date Created: 1987 through 1990 @@ -149959,15 +149962,15 @@ coerce(s : S): TexFormat == coerce(s :: OutputForm)$TexFormat -@ -<>= +\end{chunk} +\begin{chunk}{TEX1.dotabb} "TEX1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TEX1"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "TEX1" -> "BASTYPE" "TEX1" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TOOLSIGN ToolsForSign} \pagehead{ToolsForSign}{TOOLSIGN} @@ -149980,7 +149983,7 @@ \cross{TOOLSIGN}{sign} \end{tabular} -<>= +\begin{chunk}{package TOOLSIGN ToolsForSign} )abbrev package TOOLSIGN ToolsForSign ++ Author: Manuel Bronstein ++ Date Created: 25 August 1989 @@ -150030,13 +150033,13 @@ st = "left" => -1 error "Unknown option" -@ -<>= +\end{chunk} +\begin{chunk}{TOOLSIGN.dotabb} "TOOLSIGN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TOOLSIGN"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "TOOLSIGN" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DRAW TopLevelDrawFunctions} \pagehead{TopLevelDrawFunctions}{DRAW} @@ -150048,7 +150051,7 @@ \cross{DRAW}{makeObject} \end{tabular} -<>= +\begin{chunk}{package DRAW TopLevelDrawFunctions} )abbrev package DRAW TopLevelDrawFunctions ++ Author: Clifton J. Williamson ++ Date Created: 23 January 1990 @@ -150375,13 +150378,13 @@ draw(s:PSF,uBind:BIND,vBind:BIND) == draw(s,uBind,vBind,nil()) -@ -<>= +\end{chunk} +\begin{chunk}{DRAW.dotabb} "DRAW" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DRAW"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "DRAW" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DRAWCURV TopLevelDrawFunctionsForAlgebraicCurves} \pagehead{TopLevelDrawFunctionsForAlgebraicCurves}{DRAWCURV} @@ -150390,7 +150393,7 @@ {\bf Exports:}\\ \cross{DRAWCURV}{draw} -<>= +\begin{chunk}{package DRAWCURV TopLevelDrawFunctionsForAlgebraicCurves} )abbrev package DRAWCURV TopLevelDrawFunctionsForAlgebraicCurves ++ Author: Clifton J. Williamson ++ Date Created: 26 June 1990 @@ -150512,13 +150515,13 @@ -- draw drawCurves(listBranches acplot,ptCol,crCol,pointSizeDefault(),l) -@ -<>= +\end{chunk} +\begin{chunk}{DRAWCURV.dotabb} "DRAWCURV" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DRAWCURV"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "DRAWCURV" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions} \pagehead{TopLevelDrawFunctionsForCompiledFunctions}{DRAWCFUN} @@ -150531,7 +150534,7 @@ \cross{DRAWCFUN}{recolor} \end{tabular} -<>= +\begin{chunk}{package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions} )abbrev package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions ++ Author: Clifton J. Williamson ++ Date Created: 22 June 1990 @@ -150725,7 +150728,7 @@ ++ compile package. Implementation ==> add -@ +\end{chunk} I have had to work my way around the following bug in the compiler: When a local variable is given a mapping as a value, e.g. \begin{verbatim} @@ -150737,7 +150740,7 @@ \begin{verbatim} bird := fcn(foo), \end{verbatim} -foo will often be compiled as [[|DRAW;foo|]] rather than [[|foo|]]. This, +foo will often be compiled as DRAW;foo rather than foo. This, of course, causes a run-time error. To avoid this problem, local variables are not given mappings as @@ -150746,7 +150749,7 @@ as before. There is no major loss in efficiency, as the computation of points will always dominate the computation time.\\ \ \ \ \ - cjw, 22 June MCMXC -<>= +\begin{chunk}{package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions} import PLOT import TwoDimensionalPlotClipping @@ -150843,7 +150846,7 @@ a < b => segment(a,b) segment(b,a) -@ +\end{chunk} The function {\tt myTrap1} is a local function for used in creating maps SF -> Point SF (two dimensional). The range of this function is SingleFloat. As originally coded it would return {\tt \$NaNvalue\$Lisp} @@ -150851,7 +150854,7 @@ by the draw package we handle the ``failed'' case by returning zero. We handle the out-of-range case by returning the maximum or minimum SingleFloat value. -<>= +\begin{chunk}{package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions} myTrap1: (SF-> SF, SF) -> SF myTrap1(ff:SF-> SF, f:SF):SF == @@ -151029,7 +151032,7 @@ -- 3D - Surfaces ------------------------------------------------------------------------ -@ +\end{chunk} The function {\tt myTrap2} is a local function for used in creating maps SF -> Point SF (three dimensional). The range of this function is SingleFloat. As originally coded it would return {\tt \$NaNvalue\$Lisp} @@ -151037,7 +151040,7 @@ by the draw package we handle the ``failed'' case by returning zero. We handle the out-of-range case by returning the maximum or minimum SingleFloat value. -<>= +\begin{chunk}{package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions} myTrap2: ((SF, SF) -> SF, SF, SF) -> SF myTrap2(ff:(SF, SF) -> SF, u:SF, v:SF):SF == @@ -151170,13 +151173,13 @@ draw(s:PSFUN,uSeg:SEG,vSeg:SEG) == draw(s,uSeg,vSeg,nil()) -@ -<>= +\end{chunk} +\begin{chunk}{DRAWCFUN.dotabb} "DRAWCFUN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DRAWCFUN"] "ALIST" [color="#88FF44",href="bookvol10.3.pdf#nameddest=ALIST"] "DRAWCFUN" -> "ALIST" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package DRAWPT TopLevelDrawFunctionsForPoints} \pagehead{TopLevelDrawFunctionsForPoints}{DRAWPT} @@ -151185,7 +151188,7 @@ {\bf Exports:}\\ \cross{DRAWPT}{draw} -<>= +\begin{chunk}{package DRAWPT TopLevelDrawFunctionsForPoints} )abbrev package DRAWPT TopLevelDrawFunctionsForPoints ++ Author: Mike Dewar ++ Date Created: 24 May 1995 @@ -151267,8 +151270,8 @@ points := cons(row,points) makeViewport3D(mesh points,l) -@ -<>= +\end{chunk} +\begin{chunk}{DRAWPT.dotabb} "DRAWPT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=DRAWPT"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] @@ -151277,7 +151280,7 @@ "DRAWPT" -> "RADCAT" "DRAWPT" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TOPSP TopLevelThreeSpace} \pagehead{TopLevelThreeSpace}{TOPSP} @@ -151286,7 +151289,7 @@ {\bf Exports:}\\ \cross{TOPSP}{createThreeSpace} -<>= +\begin{chunk}{package TOPSP TopLevelThreeSpace} )abbrev package TOPSP TopLevelThreeSpace ++ Description: ++ This package exports a function for making a \spadtype{ThreeSpace} @@ -151298,15 +151301,15 @@ == add createThreeSpace() == create3Space()$ThreeSpace(DoubleFloat) -@ -<>= +\end{chunk} +\begin{chunk}{TOPSP.dotabb} "TOPSP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TOPSP"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "TOPSP" -> "FIELD" "TOPSP" -> "RADCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTHERTR TranscendentalHermiteIntegration} \pagehead{TranscendentalHermiteIntegration}{INTHERTR} @@ -151315,7 +151318,7 @@ {\bf Exports:}\\ \cross{INTHERTR}{HermiteIntegrate} -<>= +\begin{chunk}{package INTHERTR TranscendentalHermiteIntegration} )abbrev package INTHERTR TranscendentalHermiteIntegration ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -151377,13 +151380,13 @@ mult:= mult * qbarhat [p / g0, a, qhat] -@ -<>= +\end{chunk} +\begin{chunk}{INTHERTR.dotabb} "INTHERTR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTHERTR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INTHERTR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package INTTR TranscendentalIntegration} \pagehead{TranscendentalIntegration}{INTTR} @@ -151406,7 +151409,7 @@ \cross{INTTR}{tanintegrate} & \end{tabular} -<>= +\begin{chunk}{package INTTR TranscendentalIntegration} )abbrev package INTTR TranscendentalIntegration ++ Author: Manuel Bronstein ++ Date Created: 1987 @@ -151856,13 +151859,13 @@ differentiate(c := r.logpart / g, derivation) ^= 0 => "failed" [r.answer, c] -@ -<>= +\end{chunk} +\begin{chunk}{INTTR.dotabb} "INTTR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=INTTR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "INTTR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TRMANIP TranscendentalManipulations} \pagehead{TranscendentalManipulations}{TRMANIP} @@ -151900,7 +151903,7 @@ \cross{TRMANIP}{expandTrigProducts} && \end{tabular} -<>= +\begin{chunk}{package TRMANIP TranscendentalManipulations} )abbrev package TRMANIP TranscendentalManipulations ++ Author: Bob Sutor, Manuel Bronstein ++ Date Created: Way back @@ -152320,13 +152323,13 @@ [t2t,c2t,s2c,c2s,th2th,ch2th,sh2ch,ch2sh]), ["sin"::Symbol, "sinh"::Symbol], [2, 2], [s2c2, sh2ch2]) -@ -<>= +\end{chunk} +\begin{chunk}{TRMANIP.dotabb} "TRMANIP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TRMANIP"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "TRMANIP" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RDETR TranscendentalRischDE} \pagehead{TranscendentalRischDE}{RDETR} @@ -152339,7 +152342,7 @@ \cross{RDETR}{polyRDE} \end{tabular} -<>= +\begin{chunk}{package RDETR TranscendentalRischDE} )abbrev package RDETR TranscendentalRischDE ++ Author: Manuel Bronstein ++ Date Created: Jan 1988 @@ -152506,13 +152509,13 @@ )@Union(Z, "failed")) case Z => max(n::Z, dc - db) dc - db -@ -<>= +\end{chunk} +\begin{chunk}{RDETR.dotabb} "RDETR" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RDETR"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RDETR" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package RDETRS TranscendentalRischDESystem} \pagehead{TranscendentalRischDESystem}{RDETRS} @@ -152524,7 +152527,7 @@ \cross{RDETRS}{monomRDEsys} \end{tabular} -<>= +\begin{chunk}{package RDETRS TranscendentalRischDESystem} )abbrev package RDETRS TranscendentalRischDESystem ++ Author: Manuel Bronstein ++ Date Created: 17 August 1992 @@ -152742,16 +152745,16 @@ )@Union(Z, "failed")) case Z => max(n::Z, dc - db) dc - db -@ -<>= +\end{chunk} +\begin{chunk}{RDETRS.dotabb} "RDETRS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=RDETRS"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "RDETRS" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SOLVETRA TransSolvePackage} -<>= +\begin{chunk}{TransSolvePackage.input} )set break resume )sys rm -f TransSolvePackage.output )spool TransSolvePackage.output @@ -152997,8 +153000,8 @@ )spool -@ -<>= +\end{chunk} +\begin{chunk}{TransSolvePackage.help} ==================================================================== TransSolvePackage examples ==================================================================== @@ -153012,14 +153015,14 @@ See Also: o )show TransSolvePackage -@ +\end{chunk} \pagehead{TransSolvePackage}{SOLVETRA} \pagepic{ps/v104transsolvepackage.ps}{SOLVETRA}{1.00} {\bf Exports:}\\ \cross{SOLVETRA}{solve} -<>= +\begin{chunk}{package SOLVETRA TransSolvePackage} )abbrev package SOLVETRA TransSolvePackage ++ Author: W. Wiwianka, Martin Rubey ++ Date Created: Summer 1991 @@ -153518,7 +153521,7 @@ sols := "append"/[solve1Pol(p,v,sol) for sol in sols] sols -@ +\end{chunk} The input \begin{verbatim} solve(sinh(z)=cosh(z),z) @@ -153528,7 +153531,7 @@ >> Error detected within library code: No identity element for reduce of empty list using operation append \end{verbatim} -<>= +\begin{chunk}{package SOLVETRA TransSolvePackage} solveList(lexpr:L RE, lvar:L S):L L EQ RE == ans1 := solveRetract(lexpr, lvar) @@ -153554,13 +153557,13 @@ -- lval2 := [k::RE for k in lker] -- [[map(eval(#1,lker2,lval2), neq) for neq in sol] for sol in ans] -@ -<>= +\end{chunk} +\begin{chunk}{SOLVETRA.dotabb} "SOLVETRA" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SOLVETRA"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "SOLVETRA" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package SOLVESER TransSolvePackageService} \pagehead{TransSolvePackageService}{SOLVESER} @@ -153572,7 +153575,7 @@ \cross{SOLVESER}{unvectorise} \end{tabular} -<>= +\begin{chunk}{package SOLVESER TransSolvePackageService} )abbrev package SOLVESER TransSolvePackageService ++ Author: W. Wiwianka ++ Date Created: Summer 1991 @@ -153678,13 +153681,13 @@ resul else return "failed" -@ -<>= +\end{chunk} +\begin{chunk}{SOLVESER.dotabb} "SOLVESER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SOLVESER"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] "SOLVESER" -> "FS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TRIMAT TriangularMatrixOperations} \pagehead{TriangularMatrixOperations}{TRIMAT} @@ -153696,7 +153699,7 @@ \cross{TRIMAT}{UpTriBddDenomInv} \end{tabular} -<>= +\begin{chunk}{package TRIMAT TriangularMatrixOperations} )abbrev package TRIMAT TriangularMatrixOperations ++ Author: Victor Miller ++ Date Created: @@ -153758,8 +153761,8 @@ exquo qelt(A, j, j+offset))::R)) AI -@ -<>= +\end{chunk} +\begin{chunk}{TRIMAT.dotabb} "TRIMAT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TRIMAT"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] @@ -153768,7 +153771,7 @@ "TRIGMNIP" -> "FS" "TRIGMNIP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TRIGMNIP TrigonometricManipulations} \pagehead{TrigonometricManipulations}{TRIGMNIP} @@ -153785,7 +153788,7 @@ \cross{TRIGMNIP}{trigs} &&& \end{tabular} -<>= +\begin{chunk}{package TRIGMNIP TrigonometricManipulations} )abbrev package TRIGMNIP TrigonometricManipulations ++ Author: Manuel Bronstein ++ Date Created: 4 April 1988 @@ -153925,8 +153928,8 @@ g := explogs2trigs F2FG f real g + s1 * imag g -@ -<>= +\end{chunk} +\begin{chunk}{TRIGMNIP.dotabb} "TRIGMNIP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TRIGMNIP"] "ACF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ACF"] "FS" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FS"] @@ -153935,7 +153938,7 @@ "TRIGMNIP" -> "FS" "TRIGMNIP" -> "COMPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TUBETOOL TubePlotTools} \pagehead{TubePlotTools}{TUBETOOL} @@ -153954,7 +153957,7 @@ \cross{TUBETOOL}{?-?} & \end{tabular} -<>= +\begin{chunk}{package TUBETOOL TubePlotTools} )abbrev package TUBETOOL TubePlotTools ++ Author: Clifton J. Williamson ++ Date Created: Bastille Day 1989 @@ -154072,13 +154075,13 @@ pt := ctr + rad * pNorm concat(pt,concat(ans,pt)) -@ -<>= +\end{chunk} +\begin{chunk}{TUBETOOL.dotabb} "TUBETOOL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TUBETOOL"] "FRAC" [color="#88FF44",href="bookvol10.3.pdf#nameddest=FRAC"] "TUBETOOL" -> "FRAC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package CLIP TwoDimensionalPlotClipping} \pagehead{TwoDimensionalPlotClipping}{CLIP} @@ -154091,7 +154094,7 @@ \cross{CLIP}{clipWithRanges} \end{tabular} -<>= +\begin{chunk}{package CLIP TwoDimensionalPlotClipping} )abbrev package CLIP TwoDimensionalPlotClipping ++ Author: Clifton J. Williamson ++ Date Created: 22 December 1989 @@ -154379,13 +154382,13 @@ clip(l: L Pt) == iClipParametric(list l,1/2,5/1) clip(l: L L Pt) == iClipParametric(l,1/2,5/1) -@ -<>= +\end{chunk} +\begin{chunk}{CLIP.dotabb} "CLIP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=CLIP"] "PTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PTCAT"] "CLIP" -> "PTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package TWOFACT TwoFactorize} \pagehead{TwoFactorize}{TWOFACT} @@ -154398,7 +154401,7 @@ \cross{TWOFACT}{twoFactor} \end{tabular} -<>= +\begin{chunk}{package TWOFACT TwoFactorize} )abbrev package TWOFACT TwoFactorize ++ Authors : P.Gianni, J.H.Davenport ++ Date Created : May 1990 @@ -154618,15 +154621,15 @@ lfactk:=cons(retractIfCan(ffn)$Normp :: P, lfactk) */[primeFactor(ff1,1) for ff1 in lfactk] -@ -<>= +\end{chunk} +\begin{chunk}{TWOFACT.dotabb} "TWOFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=TWOFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "FAXF" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FAXF"] "TWOFACT" -> "PFECAT" "TWOFACT" -> "FAXF" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter U} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -154641,7 +154644,7 @@ \cross{UNIFACT}{henselFact} \end{tabular} -<>= +\begin{chunk}{package UNIFACT UnivariateFactorize} )abbrev package UNIFACT UnivariateFactorize ++ Author: Patrizia Gianni ++ Date Created: ??? @@ -154953,13 +154956,13 @@ factorlist := append([[pf,d1]$ParFact for pf in fln],factorlist) [c,factorlist]$FinalFact -@ -<>= +\end{chunk} +\begin{chunk}{UNIFACT.dotabb} "UNIFACT" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UNIFACT"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UNIFACT" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UFPS1 UnivariateFormalPowerSeriesFunctions} \pagehead{UnivariateFormalPowerSeriesFunctions}{UFPS1} @@ -154968,7 +154971,7 @@ {\bf Exports:}\\ \cross{UFPS1}{hadamard} -<>= +\begin{chunk}{package UFPS1 UnivariateFormalPowerSeriesFunctions} )abbrev package UFPS1 UnivariateFormalPowerSeriesFunctions ++ Description: ++ This package has no description @@ -154989,13 +154992,13 @@ coefficients f, coefficients g) $StreamFunctions3(Coef, Coef, Coef) -@ -<>= +\end{chunk} +\begin{chunk}{UFPS1.dotabb} "UFPS1" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UFPS1"] "UFPS" [color="#88FF44",href="bookvol10.3.pdf#nameddest=UFPS"] "UFPS1" -> "UFPS" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package ULS2 UnivariateLaurentSeriesFunctions2} \pagehead{UnivariateLaurentSeriesFunctions2}{ULS2} @@ -155004,7 +155007,7 @@ {\bf Exports:}\\ \cross{ULS2}{map} -<>= +\begin{chunk}{package ULS2 UnivariateLaurentSeriesFunctions2} )abbrev package ULS2 UnivariateLaurentSeriesFunctions2 ++ Author: Clifton J. Williamson ++ Date Created: 5 March 1990 @@ -155044,15 +155047,15 @@ map(f,ups) == laurent(degree ups, map(f, taylorRep ups)$UTSF2) -@ -<>= +\end{chunk} +\begin{chunk}{ULS2.dotabb} "ULS2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ULS2"] "MODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "ULS2" -> "LMODULE" "ULS2" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPOLYC2 UnivariatePolynomialCategoryFunctions2} \pagehead{UnivariatePolynomialCategoryFunctions2}{UPOLYC2} @@ -155061,7 +155064,7 @@ {\bf Exports:}\\ \cross{UPOLYC2}{map} -<>= +\begin{chunk}{package UPOLYC2 UnivariatePolynomialCategoryFunctions2} )abbrev package UPOLYC2 UnivariatePolynomialCategoryFunctions2 ++ Author: ++ Date Created: @@ -155097,13 +155100,13 @@ p := reductum p ans -@ -<>= +\end{chunk} +\begin{chunk}{UPOLYC2.dotabb} "UPOLYC2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPOLYC2"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UPOLYC2" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPCDEN UnivariatePolynomialCommonDenominator} \pagehead{UnivariatePolynomialCommonDenominator}{UPCDEN} @@ -155116,7 +155119,7 @@ \cross{UPCDEN}{splitDenominator} \end{tabular} -<>= +\begin{chunk}{package UPCDEN UnivariatePolynomialCommonDenominator} )abbrev package UPCDEN UnivariatePolynomialCommonDenominator ++ Author: Manuel Bronstein ++ Date Created: 2 May 1988 @@ -155156,13 +155159,13 @@ d := commonDenominator p [map(x +-> numer(d*x)::Q, p), d] -@ -<>= +\end{chunk} +\begin{chunk}{UPCDEN.dotabb} "UPCDEN" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPCDEN"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UPCDEN" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPDECOMP UnivariatePolynomialDecompositionPackage} \pagehead{UnivariatePolynomialDecompositionPackage}{UPDECOMP} @@ -155177,7 +155180,7 @@ \cross{UPDECOMP}{rightFactorIfCan} & \end{tabular} -<>= +\begin{chunk}{package UPDECOMP UnivariatePolynomialDecompositionPackage} )abbrev package UPDECOMP UnivariatePolynomialDecompositionPackage ++ Author: Frederic Lehobey ++ Date Created: 17 June 1996 @@ -155301,13 +155304,13 @@ lr := cf :: LR append(monicCompleteDecompose lr.left,[lr.right]) -@ -<>= +\end{chunk} +\begin{chunk}{UPDECOMP.dotabb} "UPDECOMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPDECOMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UPDECOMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPDIVP UnivariatePolynomialDivisionPackage} \pagehead{UnivariatePolynomialDivisionPackage}{UPDIVP} @@ -155316,7 +155319,7 @@ {\bf Exports:}\\ \cross{UPDIVP}{divideIfCan} -<>= +\begin{chunk}{package UPDIVP UnivariatePolynomialDivisionPackage} )abbrev package UPDIVP UnivariatePolynomialDivisionPackage ++ Author: Frederic Lehobey ++ Date Created: 3 June 1997 @@ -155361,13 +155364,13 @@ p1 := p1-c*mapExponents(x +-> x+ee, p2) [q,p1] -@ -<>= +\end{chunk} +\begin{chunk}{UPDIVP.dotabb} "UPDIVP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPDIVP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UPDIVP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UP2 UnivariatePolynomialFunctions2} \pagehead{UnivariatePolynomialFunctions2}{UP2} @@ -155376,7 +155379,7 @@ {\bf Exports:}\\ \cross{UP2}{map} -<>= +\begin{chunk}{package UP2 UnivariatePolynomialFunctions2} )abbrev package UP2 UnivariatePolynomialFunctions2 ++ Author: ++ Date Created: @@ -155402,15 +155405,15 @@ map(f, p) == map(f, p)$UnivariatePolynomialCategoryFunctions2(R, UnivariatePolynomial(x, R), S, UnivariatePolynomial(y, S)) -@ -<>= +\end{chunk} +\begin{chunk}{UP2.dotabb} "UP2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UP2"] "LMODULE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=LMODULE"] "SGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SGROUP"] "UP2" -> "LMODULE" "UP2" -> "SGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPMP UnivariatePolynomialMultiplicationPackage} \pagehead{UnivariatePolynomialMultiplicationPackage}{UPMP} @@ -155423,7 +155426,7 @@ \cross{UPMP}{noKaratsuba} \end{tabular} -<>= +\begin{chunk}{package UPMP UnivariatePolynomialMultiplicationPackage} )abbrev package UPMP UnivariatePolynomialMultiplicationPackage ++ Author: Marc Moreno Maza ++ Date Created: 14.08.2000 @@ -155511,13 +155514,13 @@ zero? d => shiftLeft(v,2*n) + w shiftLeft(v,2*n + d) + shiftLeft(w,d) -@ -<>= +\end{chunk} +\begin{chunk}{UPMP.dotabb} "UPMP" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPMP"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UPMP" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPSQFREE UnivariatePolynomialSquareFree} \pagehead{UnivariatePolynomialSquareFree}{UPSQFREE} @@ -155530,7 +155533,7 @@ \cross{UPSQFREE}{BumInSepFFE} \end{tabular} -<>= +\begin{chunk}{package UPSQFREE UnivariatePolynomialSquareFree} )abbrev package UPSQFREE UnivariatePolynomialSquareFree ++ Author: Dave Barton, Barry Trager ++ Date Created: @@ -155649,13 +155652,13 @@ lffe:=append(lsnil,lffe) makeFR(dunit*(unit redSqfr),lffe) -@ -<>= +\end{chunk} +\begin{chunk}{UPSQFREE.dotabb} "UPSQFREE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPSQFREE"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "UPSQFREE" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UPXS2 UnivariatePuiseuxSeriesFunctions2} \pagehead{UnivariatePuiseuxSeriesFunctions2}{UPXS2} @@ -155664,7 +155667,7 @@ {\bf Exports:}\\ \cross{UPXS2}{map} -<>= +\begin{chunk}{package UPXS2 UnivariatePuiseuxSeriesFunctions2} )abbrev package UPXS2 UnivariatePuiseuxSeriesFunctions2 ++ Author: Scott C. Morrison ++ Date Created: 5 April 1991 @@ -155698,15 +155701,15 @@ map(f,ups) == puiseux(rationalPower ups, map(f, laurentRep ups)$ULSP2) -@ -<>= +\end{chunk} +\begin{chunk}{UPXS2.dotabb} "UPXS2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UPXS2"] "PID" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PID"] "OAGROUP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OAGROUP"] "UPXS2" -> "PID" "UPXS2" -> "OAGROUP" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package OREPCTO UnivariateSkewPolynomialCategoryOps} \pagehead{UnivariateSkewPolynomialCategoryOps}{OREPCTO} @@ -155722,7 +155725,7 @@ \cross{OREPCTO}{times} \end{tabular} -<>= +\begin{chunk}{package OREPCTO UnivariateSkewPolynomialCategoryOps} )abbrev package OREPCTO UnivariateSkewPolynomialCategoryOps ++ Author: Manuel Bronstein ++ Date Created: 1 February 1994 @@ -155852,13 +155855,13 @@ rightDivide(a, b, sigma) == localRightDivide(a, b, sigma, inv leadingCoefficient b) -@ -<>= +\end{chunk} +\begin{chunk}{OREPCTO.dotabb} "OREPCTO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=OREPCTO"] "OREPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OREPCAT"] "OREPCTO" -> "OREPCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UTS2 UnivariateTaylorSeriesFunctions2} \pagehead{UnivariateTaylorSeriesFunctions2}{UTS2} @@ -155867,7 +155870,7 @@ {\bf Exports:}\\ \cross{UTS2}{map} -<>= +\begin{chunk}{package UTS2 UnivariateTaylorSeriesFunctions2} )abbrev package UTS2 UnivariateTaylorSeriesFunctions2 ++ Author: Clifton J. Williamson ++ Date Created: 9 February 1990 @@ -155901,13 +155904,13 @@ map(f,uts) == series map(f,coefficients uts)$ST2 -@ -<>= +\end{chunk} +\begin{chunk}{UTS2.dotabb} "UTS2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UTS2"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "UTS2" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UTSODE UnivariateTaylorSeriesODESolver} \pagehead{UnivariateTaylorSeriesODESolver}{UTSODE} @@ -155925,7 +155928,7 @@ \cross{UTSODE}{stFuncN} && \end{tabular} -<>= +\begin{chunk}{package UTSODE UnivariateTaylorSeriesODESolver} )abbrev package UTSODE UnivariateTaylorSeriesODESolver ++ Author: Stephen Watt (revised by Clifton J. Williamson) ++ Date Created: February 1988 @@ -156052,13 +156055,13 @@ stSol := iMpsode(cs,[stFuncN(lst) for lst in lsts]) map(series,stSol)$L2(ST,UTS) -@ -<>= +\end{chunk} +\begin{chunk}{UTSODE.dotabb} "UTSODE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UTSODE"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "UTSODE" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UNISEG2 UniversalSegmentFunctions2} \pagehead{UniversalSegmentFunctions2}{UNISEG2} @@ -156067,7 +156070,7 @@ {\bf Exports:}\\ \cross{UNISEG2}{map} -<>= +\begin{chunk}{package UNISEG2 UniversalSegmentFunctions2} )abbrev package UNISEG2 UniversalSegmentFunctions2 ++ Author: ++ Date Created: @@ -156102,13 +156105,13 @@ map(f:R -> S, u:UniversalSegment R): Stream S == map(f, expand u)$StreamFunctions2(R, S) -@ -<>= +\end{chunk} +\begin{chunk}{UNISEG2.dotabb} "UNISEG2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UNISEG2"] "OCAMON" [color="#4488FF",href="bookvol10.2.pdf#nameddest=OCAMON"] "UNISEG2" -> "OCAMON" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UDPO UserDefinedPartialOrdering} \pagehead{UserDefinedPartialOrdering}{UDPO} @@ -156124,7 +156127,7 @@ \cross{UDPO}{more?} \end{tabular} -<>= +\begin{chunk}{package UDPO UserDefinedPartialOrdering} )abbrev package UDPO UserDefinedPartialOrdering ++ Author: Manuel Bronstein ++ Date Created: March 1990 @@ -156216,13 +156219,13 @@ more?(a, b) == not less?(a, b, (y,z) +-> y <$S z) largest x == largest(x, (y,z) +-> y <$S z) -@ -<>= +\end{chunk} +\begin{chunk}{UDPO.dotabb} "UDPO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UDPO"] "FLAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FLAGG"] "UDPO" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UDVO UserDefinedVariableOrdering} \pagehead{UserDefinedVariableOrdering}{UDVO} @@ -156235,7 +156238,7 @@ \cross{UDVO}{setVariableOrder} \end{tabular} -<>= +\begin{chunk}{package UDVO UserDefinedVariableOrdering} )abbrev package UDVO UserDefinedVariableOrdering ++ Author: Manuel Bronstein ++ Date Created: March 1990 @@ -156272,15 +156275,15 @@ r := getOrder() [reverse(r.high), reverse(r.low)] -@ -<>= +\end{chunk} +\begin{chunk}{UDVO.dotabb} "UDVO" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UDVO"] "BASTYPE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=BASTYPE"] "KOERCE" [color="#4488FF",href="bookvol10.2.pdf#nameddest=KOERCE"] "UDVO" -> "BASTYPE" "UDVO" -> "KOERCE" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package UTSODETL UTSodetools} \pagehead{UTSodetools}{UTSODETL} @@ -156293,7 +156296,7 @@ \cross{UTSODETL}{UTS2UP} \end{tabular} -<>= +\begin{chunk}{package UTSODETL UTSodetools} )abbrev package UTSODETL UTSodetools ++ Author: Manuel Bronstein ++ Date Created: 31 January 1994 @@ -156352,13 +156355,13 @@ if F has IntegralDomain then RF2UTS f == UP2UTS(numer f) * recip(UP2UTS denom f)::UTS -@ -<>= +\end{chunk} +\begin{chunk}{UTSODETL.dotabb} "UTSODETL" [color="#FF4488",href="bookvol10.4.pdf#nameddest=UTSODETL"] "UTSCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=UTSCAT"] "UTSODETL" -> "UTSCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter V} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -156373,7 +156376,7 @@ \cross{VECTOR2}{scan} \end{tabular} -<>= +\begin{chunk}{package VECTOR2 VectorFunctions2} )abbrev package VECTOR2 VectorFunctions2 ++ Author: ++ Date Created: @@ -156427,13 +156430,13 @@ res := [r::B,:res] vector reverse! res -@ -<>= +\end{chunk} +\begin{chunk}{VECTOR2.dotabb} "VECTOR2" [color="#FF4488",href="bookvol10.4.pdf#nameddest=VECTOR2"] "IVECTOR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=IVECTOR"] "VECTOR2" -> "IVECTOR" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package VIEWDEF ViewDefaultsPackage} \pagehead{ViewDefaultsPackage}{VIEWDEF} @@ -156458,7 +156461,7 @@ \cross{VIEWDEF}{viewWriteDefault} \end{tabular} -<>= +\begin{chunk}{package VIEWDEF ViewDefaultsPackage} )abbrev package VIEWDEF ViewDefaultsPackage ++ Author: Jim Wen ++ Date Created: 15 January 1990 @@ -156667,13 +156670,13 @@ thingsToWrite := append(thingsToWrite,[aTypeOfFile]) defaultThingsToWrite() := thingsToWrite -@ -<>= +\end{chunk} +\begin{chunk}{VIEWDEF.dotabb} "VIEWDEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=VIEWDEF"] "STRING" [color="#88FF44",href="bookvol10.3.pdf#nameddest=STRING"] "VIEWDEF" -> "STRING" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package VIEW ViewportPackage} \pagehead{ViewportPackage}{VIEW} @@ -156686,7 +156689,7 @@ \cross{VIEW}{graphCurves} \end{tabular} -<>= +\begin{chunk}{package VIEW ViewportPackage} )abbrev package VIEW ViewportPackage ++ Author: Jim Wen ++ Date Created: 30 April 1989 @@ -156787,8 +156790,8 @@ putGraph(v,graf,1::PI) makeViewport2D v -@ -<>= +\end{chunk} +\begin{chunk}{VIEW.dotabb} "VIEW" [color="#FF4488",href="bookvol10.4.pdf#nameddest=VIEW"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] @@ -156797,7 +156800,7 @@ "VIEW" -> "RADCAT" "VIEW" -> "FLAGG" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter W} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -156815,7 +156818,7 @@ \cross{WEIER}{weierstrass} && \end{tabular} -<>= +\begin{chunk}{package WEIER WeierstrassPreparation} )abbrev package WEIER WeierstrassPreparation ++ Author:William H. Burge ++ Date Created:Sept 1988 @@ -156962,13 +156965,13 @@ wei(v:VarSet,s:SMPS)==weier(v,s:StS) weierstrass(v,smps)== transback wei (v,smps) -@ -<>= +\end{chunk} +\begin{chunk}{WEIER.dotabb} "WEIER" [color="#FF4488",href="bookvol10.4.pdf#nameddest=WEIER"] "PFECAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=PFECAT"] "WEIER" -> "PFECAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package WFFINTBS WildFunctionFieldIntegralBasis} \pagehead{WildFunctionFieldIntegralBasis}{WFFINTBS} @@ -156980,7 +156983,7 @@ \cross{WFFINTBS}{localIntegralBasis} \end{tabular} -<>= +\begin{chunk}{package WFFINTBS WildFunctionFieldIntegralBasis} )abbrev package WFFINTBS WildFunctionFieldIntegralBasis ++ Authors: Victor Miller, Clifton Williamson ++ Date Created: 24 July 1991 @@ -157176,13 +157179,13 @@ lb := iLocalIntegralBasis(bas,pows,tfm,matrixOut,disc,prime) [lb.basis, lb.basisDen, lb.basisInv] -@ -<>= +\end{chunk} +\begin{chunk}{WFFINTBS.dotabb} "WFFINTBS" [color="#FF4488",href="bookvol10.4.pdf#nameddest=WFFINTBS"] "MONOGEN" [color="#4488FF",href="bookvol10.2.pdf#nameddest=MONOGEN"] "WFFINTBS" -> "MONOGEN" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter X} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -157197,11 +157200,11 @@ \cross{XEXPPKG}{log} \end{tabular} -<>= +\begin{chunk}{XEXPPKG.dotabb} "XEXPPKG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=XEXPPKG"] -@ -<>= +\end{chunk} +\begin{chunk}{package XEXPPKG XExponentialPackage} )abbrev package XEXPPKG XExponentialPackage ++ Author: Michel Petitot (petitot@lifl.fr). ++ Date Created: 91 @@ -157270,13 +157273,13 @@ q1: XPOLY := exp(q,n) log(p1*q1, n) -@ -<>= +\end{chunk} +\begin{chunk}{XEXPPKG.dotabb} "XEXPPKG" [color="#FF4488",href="bookvol10.4.pdf#nameddest=XEXPPKG"] "XPOLYC" [color="#4488FF",href="bookvol10.2.pdf#nameddest=XPOLYC"] "XEXPPKG" -> "XPOLYC" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter Y} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -157288,7 +157291,7 @@ the pacakge {\bf ZeroDimensionalSolvePackage} provides operations for computing symbolically the real or complex roots of polynomial systems with finitely many solutions. -<>= +\begin{chunk}{ZeroDimensionalSolvePackage.input} )set break resume )spool ZeroDimensionalSolvePackage.output )set message test on @@ -158875,8 +158878,8 @@ --E 28 )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ZeroDimensionalSolvePackage.help} ==================================================================== ZeroDimensionalSolvePackage examples ==================================================================== @@ -160404,7 +160407,7 @@ See Also: o )show ZeroDimensionalSolvePackage -@ +\end{chunk} \pagehead{ZeroDimensionalSolvePackage}{ZDSOLVE} \pagepic{ps/v104zerodimensionalsolvepackage.ps}{ZDSOLVE}{1.00} @@ -160418,7 +160421,7 @@ \cross{ZDSOLVE}{univariateSolve} \end{tabular} -<>= +\begin{chunk}{package ZDSOLVE ZeroDimensionalSolvePackage} )abbrev package ZDSOLVE ZeroDimensionalSolvePackage ++ Author: Marc Moreno Maza ++ Date Created: 23/01/1999 @@ -160892,554 +160895,554 @@ univariateSolve(lp: List(P)): List RUR == univariateSolve(lp,false,false,false) -@ -<>= +\end{chunk} +\begin{chunk}{ZDSOLVE.dotabb} "ZDSOLVE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=ZDSOLVE"] "SFRTCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=SFRTCAT"] "ZDSOLVE" -> "SFRTCAT" -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chunk collections} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -<>= -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> +\begin{chunk}{algebra} +\getchunk{package AFALGGRO AffineAlgebraicSetComputeWithGroebnerBasis} +\getchunk{package AFALGRES AffineAlgebraicSetComputeWithResultant} +\getchunk{package AF AlgebraicFunction} +\getchunk{package INTHERAL AlgebraicHermiteIntegration} +\getchunk{package INTALG AlgebraicIntegrate} +\getchunk{package INTAF AlgebraicIntegration} +\getchunk{package ALGMANIP AlgebraicManipulations} +\getchunk{package ALGMFACT AlgebraicMultFact} +\getchunk{package ALGPKG AlgebraPackage} +\getchunk{package ALGFACT AlgFactor} +\getchunk{package INTPACK AnnaNumericalIntegrationPackage} +\getchunk{package OPTPACK AnnaNumericalOptimizationPackage} +\getchunk{package ODEPACK AnnaOrdinaryDifferentialEquationPackage} +\getchunk{package PDEPACK AnnaPartialDifferentialEquationPackage} +\getchunk{package ANY1 AnyFunctions1} +\getchunk{package APPRULE ApplyRules} +\getchunk{package APPLYORE ApplyUnivariateSkewPolynomial} +\getchunk{package ASSOCEQ AssociatedEquations} +\getchunk{package PMPRED AttachPredicates} +\getchunk{package AXSERV AxiomServer} + +\getchunk{package BALFACT BalancedFactorisation} +\getchunk{package BOP1 BasicOperatorFunctions1} +\getchunk{package BEZOUT BezoutMatrix} +\getchunk{package BLUPPACK BlowUpPackage} +\getchunk{package BOUNDZRO BoundIntegerRoots} +\getchunk{package BRILL BrillhartTests} + +\getchunk{package CARTEN2 CartesianTensorFunctions2} +\getchunk{package CHVAR ChangeOfVariable} +\getchunk{package CPIMA CharacteristicPolynomialInMonogenicalAlgebra} +\getchunk{package CHARPOL CharacteristicPolynomialPackage} +\getchunk{package IBACHIN ChineseRemainderToolsForIntegralBases} +\getchunk{package CVMP CoerceVectorMatrixPackage} +\getchunk{package COMBF CombinatorialFunction} +\getchunk{package CDEN CommonDenominator} +\getchunk{package COMMONOP CommonOperators} +\getchunk{package COMMUPC CommuteUnivariatePolynomialCategory} +\getchunk{package COMPFACT ComplexFactorization} +\getchunk{package COMPLEX2 ComplexFunctions2} +\getchunk{package CINTSLPE ComplexIntegerSolveLinearPolynomialEquation} +\getchunk{package COMPLPAT ComplexPattern} +\getchunk{package CPMATCH ComplexPatternMatch} +\getchunk{package CRFP ComplexRootFindingPackage} +\getchunk{package CMPLXRT ComplexRootPackage} +\getchunk{package CTRIGMNP ComplexTrigonometricManipulations} +\getchunk{package ODECONST ConstantLODE} +\getchunk{package COORDSYS CoordinateSystems} +\getchunk{package CRAPACK CRApackage} +\getchunk{package CYCLES CycleIndicators} +\getchunk{package CSTTOOLS CyclicStreamTools} +\getchunk{package CYCLOTOM CyclotomicPolynomialPackage} + +\getchunk{package DFINTTLS DefiniteIntegrationTools} +\getchunk{package DEGRED DegreeReductionPackage} +\getchunk{package DTP DesingTreePackage} +\getchunk{package DIOSP DiophantineSolutionPackage} +\getchunk{package DIRPROD2 DirectProductFunctions2} +\getchunk{package DLP DiscreteLogarithmPackage} +\getchunk{package DISPLAY DisplayPackage} +\getchunk{package DDFACT DistinctDegreeFactorize} +\getchunk{package DFSFUN DoubleFloatSpecialFunctions} +\getchunk{package DBLRESP DoubleResultantPackage} +\getchunk{package DRAWCX DrawComplex} +\getchunk{package DRAWHACK DrawNumericHack} +\getchunk{package DROPT0 DrawOptionFunctions0} +\getchunk{package DROPT1 DrawOptionFunctions1} +\getchunk{package D01AGNT d01AgentsPackage} +\getchunk{package D01WGTS d01WeightsPackage} +\getchunk{package D02AGNT d02AgentsPackage} +\getchunk{package D03AGNT d03AgentsPackage} + +\getchunk{package EP EigenPackage} +\getchunk{package EF ElementaryFunction} +\getchunk{package DEFINTEF ElementaryFunctionDefiniteIntegration} +\getchunk{package LODEEF ElementaryFunctionLODESolver} +\getchunk{package ODEEF ElementaryFunctionODESolver} +\getchunk{package SIGNEF ElementaryFunctionSign} +\getchunk{package EFSTRUC ElementaryFunctionStructurePackage} +\getchunk{package EFULS ElementaryFunctionsUnivariateLaurentSeries} +\getchunk{package EFUPXS ElementaryFunctionsUnivariatePuiseuxSeries} +\getchunk{package INTEF ElementaryIntegration} +\getchunk{package RDEEF ElementaryRischDE} +\getchunk{package RDEEFS ElementaryRischDESystem} +\getchunk{package ELFUTS EllipticFunctionsUnivariateTaylorSeries} +\getchunk{package EQ2 EquationFunctions2} +\getchunk{package ERROR ErrorFunctions} +\getchunk{package GBEUCLID EuclideanGroebnerBasisPackage} +\getchunk{package EVALCYC EvaluateCycleIndicators} +\getchunk{package ESCONT ExpertSystemContinuityPackage} +\getchunk{package ESCONT1 ExpertSystemContinuityPackage1} +\getchunk{package ESTOOLS ExpertSystemToolsPackage} +\getchunk{package ESTOOLS1 ExpertSystemToolsPackage1} +\getchunk{package ESTOOLS2 ExpertSystemToolsPackage2} +\getchunk{package EXPR2 ExpressionFunctions2} +\getchunk{package EXPRSOL ExpressionSolve} +\getchunk{package ES1 ExpressionSpaceFunctions1} +\getchunk{package ES2 ExpressionSpaceFunctions2} +\getchunk{package EXPRODE ExpressionSpaceODESolver} +\getchunk{package OMEXPR ExpressionToOpenMath} +\getchunk{package EXPR2UPS ExpressionToUnivariatePowerSeries} +\getchunk{package EXPRTUBE ExpressionTubePlot} +\getchunk{package EXP3D Export3D} +\getchunk{package E04AGNT e04AgentsPackage} + +\getchunk{package FACTFUNC FactoredFunctions} +\getchunk{package FR2 FactoredFunctions2} +\getchunk{package FRUTIL FactoredFunctionUtilities} +\getchunk{package FACUTIL FactoringUtilities} +\getchunk{package FACTEXT FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber} +\getchunk{package FACTRN FactorisationOverPseudoAlgebraicClosureOfRationalNumber} +\getchunk{package FGLMICPK FGLMIfCanPackage} +\getchunk{package FORDER FindOrderFinite} +\getchunk{package FAMR2 FiniteAbelianMonoidRingFunctions2} +\getchunk{package FDIV2 FiniteDivisorFunctions2} +\getchunk{package FFFACTSE FiniteFieldFactorizationWithSizeParseBySideEffect} +\getchunk{package FFF FiniteFieldFunctions} +\getchunk{package FFHOM FiniteFieldHomomorphisms} +\getchunk{package FFPOLY FiniteFieldPolynomialPackage} +\getchunk{package FFPOLY2 FiniteFieldPolynomialPackage2} +\getchunk{package FFSLPE FiniteFieldSolveLinearPolynomialEquation} +\getchunk{package FFSQFR FiniteFieldSquareFreeDecomposition} +\getchunk{package FLAGG2 FiniteLinearAggregateFunctions2} +\getchunk{package FLASORT FiniteLinearAggregateSort} +\getchunk{package FSAGG2 FiniteSetAggregateFunctions2} +\getchunk{package FLOATCP FloatingComplexPackage} +\getchunk{package FLOATRP FloatingRealPackage} +\getchunk{package FCPAK1 FortranCodePackage1} +\getchunk{package FOP FortranOutputStackPackage} +\getchunk{package FORT FortranPackage} +\getchunk{package FRIDEAL2 FractionalIdealFunctions2} +\getchunk{package FFFG FractionFreeFastGaussian} +\getchunk{package FFFGF FractionFreeFastGaussianFractions} +\getchunk{package FRAC2 FractionFunctions2} +\getchunk{package FRNAAF2 FramedNonAssociativeAlgebraFunctions2} +\getchunk{package FSPECF FunctionalSpecialFunction} +\getchunk{package FFCAT2 FunctionFieldCategoryFunctions2} +\getchunk{package FFINTBAS FunctionFieldIntegralBasis} +\getchunk{package PMASSFS FunctionSpaceAssertions} +\getchunk{package PMPREDFS FunctionSpaceAttachPredicates} +\getchunk{package FSCINT FunctionSpaceComplexIntegration} +\getchunk{package FS2 FunctionSpaceFunctions2} +\getchunk{package FSINT FunctionSpaceIntegration} +\getchunk{package FSPRMELT FunctionSpacePrimitiveElement} +\getchunk{package FSRED FunctionSpaceReduce} +\getchunk{package SUMFS FunctionSpaceSum} +\getchunk{package FS2EXPXP FunctionSpaceToExponentialExpansion} +\getchunk{package FS2UPS FunctionSpaceToUnivariatePowerSeries} +\getchunk{package FSUPFACT FunctionSpaceUnivariatePolynomialFactor} + +\getchunk{package GALFACTU GaloisGroupFactorizationUtilities} +\getchunk{package GALFACT GaloisGroupFactorizer} +\getchunk{package GALPOLYU GaloisGroupPolynomialUtilities} +\getchunk{package GALUTIL GaloisGroupUtilities} +\getchunk{package GAUSSFAC GaussianFactorizationPackage} +\getchunk{package GHENSEL GeneralHenselPackage} +\getchunk{package GENMFACT GeneralizedMultivariateFactorize} +\getchunk{package GPAFF GeneralPackageForAlgebraicFunctionField} +\getchunk{package GENPGCD GeneralPolynomialGcdPackage} +\getchunk{package GENUPS GenerateUnivariatePowerSeries} +\getchunk{package GENEEZ GenExEuclid} +\getchunk{package GENUFACT GenUFactorize} +\getchunk{package INTG0 GenusZeroIntegration} +\getchunk{package GOSPER GosperSummationMethod} +\getchunk{package GRDEF GraphicsDefaults} +\getchunk{package GRAY GrayCode} +\getchunk{package GBF GroebnerFactorizationPackage} +\getchunk{package GBINTERN GroebnerInternalPackage} +\getchunk{package GB GroebnerPackage} +\getchunk{package GROEBSOL GroebnerSolve} +\getchunk{package GUESS Guess} +\getchunk{package GUESSAN GuessAlgebraicNumber} +\getchunk{package GUESSF GuessFinite} +\getchunk{package GUESSF1 GuessFiniteFunctions} +\getchunk{package GUESSINT GuessInteger} +\getchunk{package GUESSP GuessPolynomial} +\getchunk{package GUESSUP GuessUnivariatePolynomial} + +\getchunk{package HB HallBasis} +\getchunk{package HEUGCD HeuGcd} + +\getchunk{package IDECOMP IdealDecompositionPackage} +\getchunk{package INCRMAPS 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PureAlgebraicIntegration} +\getchunk{package ODEPAL PureAlgebraicLODE} +\getchunk{package PUSHVAR PushVariables} + +\getchunk{package QALGSET2 QuasiAlgebraicSet2} +\getchunk{package QCMPACK QuasiComponentPackage} +\getchunk{package QFCAT2 QuotientFieldCategoryFunctions2} + +\getchunk{package REP RadicalEigenPackage} +\getchunk{package SOLVERAD RadicalSolvePackage} +\getchunk{package RADUTIL RadixUtilities} +\getchunk{package RDIST RandomDistributions} +\getchunk{package RFDIST RandomFloatDistributions} +\getchunk{package RIDIST RandomIntegerDistributions} +\getchunk{package RANDSRC RandomNumberSource} +\getchunk{package RATFACT RationalFactorize} +\getchunk{package RF RationalFunction} +\getchunk{package DEFINTRF RationalFunctionDefiniteIntegration} +\getchunk{package RFFACT RationalFunctionFactor} +\getchunk{package RFFACTOR RationalFunctionFactorizer} +\getchunk{package INTRF RationalFunctionIntegration} +\getchunk{package LIMITRF RationalFunctionLimitPackage} +\getchunk{package SIGNRF RationalFunctionSign} +\getchunk{package SUMRF RationalFunctionSum} +\getchunk{package INTRAT RationalIntegration} +\getchunk{package RINTERP RationalInterpolation} +\getchunk{package ODERAT RationalLODE} +\getchunk{package RATRET RationalRetractions} +\getchunk{package ODERTRIC RationalRicDE} +\getchunk{package RURPK RationalUnivariateRepresentationPackage} +\getchunk{package POLUTIL RealPolynomialUtilitiesPackage} +\getchunk{package REALSOLV RealSolvePackage} +\getchunk{package REAL0 RealZeroPackage} +\getchunk{package REAL0Q RealZeroPackageQ} +\getchunk{package RMCAT2 RectangularMatrixCategoryFunctions2} +\getchunk{package RECOP RecurrenceOperator} +\getchunk{package RDIV ReducedDivisor} +\getchunk{package ODERED ReduceLODE} +\getchunk{package REDORDER ReductionOfOrder} +\getchunk{package RSDCMPK RegularSetDecompositionPackage} +\getchunk{package RSETGCD RegularTriangularSetGcdPackage} +\getchunk{package REPDB RepeatedDoubling} +\getchunk{package REPSQ RepeatedSquaring} +\getchunk{package REP1 RepresentationPackage1} +\getchunk{package REP2 RepresentationPackage2} +\getchunk{package RESLATC ResolveLatticeCompletion} +\getchunk{package RETSOL RetractSolvePackage} +\getchunk{package RFP RootsFindingPackage} + +\getchunk{package SAERFFC SAERationalFunctionAlgFactor} +\getchunk{package FORMULA1 ScriptFormulaFormat1} +\getchunk{package SEGBIND2 SegmentBindingFunctions2} +\getchunk{package SEG2 SegmentFunctions2} +\getchunk{package SAEFACT SimpleAlgebraicExtensionAlgFactor} +\getchunk{package SIMPAN SimplifyAlgebraicNumberConvertPackage} +\getchunk{package SMITH SmithNormalForm} +\getchunk{package SCACHE SortedCache} +\getchunk{package SORTPAK SortPackage} +\getchunk{package SUP2 SparseUnivariatePolynomialFunctions2} +\getchunk{package SPECOUT SpecialOutputPackage} +\getchunk{package SFQCMPK SquareFreeQuasiComponentPackage} +\getchunk{package SRDCMPK SquareFreeRegularSetDecompositionPackage} +\getchunk{package SFRGCD SquareFreeRegularTriangularSetGcdPackage} +\getchunk{package MATSTOR StorageEfficientMatrixOperations} +\getchunk{package STREAM1 StreamFunctions1} +\getchunk{package STREAM2 StreamFunctions2} +\getchunk{package STREAM3 StreamFunctions3} +\getchunk{package STINPROD StreamInfiniteProduct} +\getchunk{package STTAYLOR StreamTaylorSeriesOperations} +\getchunk{package STNSR StreamTensor} +\getchunk{package STTF StreamTranscendentalFunctions} +\getchunk{package STTFNC StreamTranscendentalFunctionsNonCommutative} +\getchunk{package SCPKG StructuralConstantsPackage} +\getchunk{package SHP SturmHabichtPackage} +\getchunk{package SUBRESP SubResultantPackage} +\getchunk{package SUPFRACF SupFractionFactorizer} +\getchunk{package ODESYS SystemODESolver} +\getchunk{package SYSSOLP SystemSolvePackage} +\getchunk{package SGCF SymmetricGroupCombinatoricFunctions} +\getchunk{package SYMFUNC SymmetricFunctions} + +\getchunk{package TABLBUMP TableauxBumpers} +\getchunk{package TBCMPPK TabulatedComputationPackage} +\getchunk{package TANEXP TangentExpansions} +\getchunk{package UTSSOL TaylorSolve} +\getchunk{package TEMUTL TemplateUtilities} +\getchunk{package TEX1 TexFormat1} +\getchunk{package TOOLSIGN ToolsForSign} +\getchunk{package DRAW TopLevelDrawFunctions} +\getchunk{package DRAWCURV TopLevelDrawFunctionsForAlgebraicCurves} +\getchunk{package DRAWCFUN TopLevelDrawFunctionsForCompiledFunctions} +\getchunk{package DRAWPT TopLevelDrawFunctionsForPoints} +\getchunk{package TOPSP TopLevelThreeSpace} +\getchunk{package INTHERTR TranscendentalHermiteIntegration} +\getchunk{package INTTR TranscendentalIntegration} +\getchunk{package TRMANIP TranscendentalManipulations} +\getchunk{package RDETR TranscendentalRischDE} +\getchunk{package RDETRS TranscendentalRischDESystem} +\getchunk{package SOLVETRA TransSolvePackage} +\getchunk{package SOLVESER TransSolvePackageService} +\getchunk{package TRIMAT TriangularMatrixOperations} +\getchunk{package TRIGMNIP TrigonometricManipulations} +\getchunk{package TUBETOOL TubePlotTools} +\getchunk{package CLIP TwoDimensionalPlotClipping} +\getchunk{package TWOFACT TwoFactorize} + +\getchunk{package UNIFACT UnivariateFactorize} +\getchunk{package UFPS1 UnivariateFormalPowerSeriesFunctions} +\getchunk{package ULS2 UnivariateLaurentSeriesFunctions2} +\getchunk{package UPOLYC2 UnivariatePolynomialCategoryFunctions2} +\getchunk{package UPCDEN UnivariatePolynomialCommonDenominator} +\getchunk{package UPDECOMP UnivariatePolynomialDecompositionPackage} +\getchunk{package UPDIVP UnivariatePolynomialDivisionPackage} +\getchunk{package UP2 UnivariatePolynomialFunctions2} +\getchunk{package UPMP UnivariatePolynomialMultiplicationPackage} +\getchunk{package UPSQFREE UnivariatePolynomialSquareFree} +\getchunk{package UPXS2 UnivariatePuiseuxSeriesFunctions2} +\getchunk{package OREPCTO UnivariateSkewPolynomialCategoryOps} +\getchunk{package UTS2 UnivariateTaylorSeriesFunctions2} +\getchunk{package UTSODE UnivariateTaylorSeriesODESolver} +\getchunk{package UNISEG2 UniversalSegmentFunctions2} +\getchunk{package UDPO UserDefinedPartialOrdering} +\getchunk{package UDVO UserDefinedVariableOrdering} +\getchunk{package UTSODETL UTSodetools} + +\getchunk{package VECTOR2 VectorFunctions2} +\getchunk{package VIEWDEF ViewDefaultsPackage} +\getchunk{package VIEW ViewportPackage} -<> -<> +\getchunk{package WEIER WeierstrassPreparation} +\getchunk{package WFFINTBS WildFunctionFieldIntegralBasis} -<> +\getchunk{package XEXPPKG XExponentialPackage} -<> -@ +\getchunk{package ZDSOLVE ZeroDimensionalSolvePackage} +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Index} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% diff -Nru axiom-20110301a/books/bookvol10.5.pamphlet axiom-20111101/books/bookvol10.5.pamphlet --- axiom-20110301a/books/bookvol10.5.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol10.5.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{amssymb} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % special meanings for math characters @@ -339,7 +340,7 @@ \chapter{Algebra Cover Code} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{package BLAS1 BlasLevelOne} -<>= +\begin{chunk}{BlasLevelOne.input} )set break resume )sys rm -f BlasLevelOne.output )spool BlasLevelOne.output @@ -458,8 +459,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{BlasLevelOne.help} ==================================================================== BlasLevelOne examples ==================================================================== @@ -500,11 +501,11 @@ See Also: o )show BlasLevelOne -@ +\end{chunk} \pagehead{BlasLevelOne}{BLAS1} %\pagepic{ps/v104blaslevelone.ps}{BLAS1}{1.00} -<>= +\begin{chunk}{package BLAS1 BlasLevelOne} )abbrev package BLAS1 BlasLevelOne ++ Author: Timothy Daly ++ Date Created: 2010 @@ -574,20 +575,20 @@ dcopy(n:SI,dx:DX,incx:SI,dy:DX,incy:SI):DX == DCOPY(n,dx,incx,dy,incy)$Lisp -@ -<>= -"BLAS1" [color="#FF8844",href="bookvol10.5.pdf#nameddest=BLAS1"] +\end{chunk} +\begin{chunk}{BLAS1.dotabb} +"BLAS1" [color="#444488",href="bookvol10.5.pdf#nameddest=BLAS1"] "FIELD" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FIELD"] "RADCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=RADCAT"] "BLAS1" -> "FIELD" "BLAS1" -> "RADCAT" -@ +\end{chunk} \section{dcabs1 BLAS} %\pagehead{dcabs1}{dcabs1} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dcabs1.input} )set break resume )sys rm -f dcabs1.output )spool dcabs1.output @@ -677,8 +678,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dcabs1.help} ==================================================================== dcabs1 examples ==================================================================== @@ -735,7 +736,7 @@ o )display operations dcabs1 o )help dcabs1 -@ +\end{chunk} Axiom represents the type Complex(DoubleFloat) as a pair whose car is the real part and whose cdr is the imaginary part. This fact is used @@ -743,7 +744,7 @@ This should really be a macro. -<>= +\begin{chunk}{BLAS dcabs1} (defun dcabs1 (z) "Complex(DoubleFloat) z is a pair where (realpart . imaginarypart). The result is a DoubleFloat (+ (abs (realpart z)) (abs (imagpart z)))" @@ -752,7 +753,7 @@ (the double-float (abs (the double-float (car z)))) (the double-float (abs (the double-float (cdr z))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{lsame BLAS} %\pagehead{lsame}{lsame} @@ -783,7 +784,7 @@ %\pagehead{dasum}{dasum} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dasum.input} )set break resume )sys rm -f dasum.output )spool dasum.output @@ -1017,8 +1018,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dasum.help} ==================================================================== dasum examples ==================================================================== @@ -1204,9 +1205,9 @@ (dasum 2 a 6) = 1.0 ; 1.0 (dasum 1 a 7) = 1.0 ; 1.0 -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 dasum} (defun dasum (n dx incx) (declare (type (simple-array double-float (*)) dx) (type fixnum incx n)) (let ((dasum 0.0) (maxlen (length dx))) @@ -1222,13 +1223,13 @@ (the double-float (abs (the double-float (svref dx j)))))))))) dasum)) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{daxpy BLAS} %\pagehead{daxpy}{daxpy} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{daxpy.input} )set break resume )sys rm -f daxpy.output )spool daxpy.output @@ -1414,8 +1415,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{daxpy.help} ==================================================================== daxpy examples ==================================================================== @@ -1568,9 +1569,9 @@ When n <= 0, double precision alpha = 0., this routine returns immedi- ately with no change in its arguments. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 daxpy} (defun daxpy (n da dx incx dy incy) (declare (type (simple-array double-float) dx dy) (type double-float da) (type fixnum incy incx n)) @@ -1608,13 +1609,13 @@ (setq iy (+ iy incy))))))) dy) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dcopy BLAS} %\pagehead{dcopy}{dcopy} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dcopy.input} )set break resume )sys rm -f dcopy.output )spool dcopy.output @@ -1808,8 +1809,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dcopy.help} ==================================================================== dcopy examples ==================================================================== @@ -1900,9 +1901,9 @@ Increment between elements of y. If incy = 0, the y vector is unchanged -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 dcopy} (defun dcopy (n dx incx dy incy) (declare (type (simple-array double-float) dy dx) (type fixnum incy incx n)) @@ -1926,13 +1927,13 @@ (setq iy (+ iy incy))))))) dy) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ddot BLAS} %\pagehead{ddot}{ddot} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ddot.input} )set break resume )sys rm -f ddot.output )spool ddot.output @@ -1942,8 +1943,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ddot.help} ==================================================================== ddot examples ==================================================================== @@ -2009,9 +2010,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 ddot} (defun ddot (n dx incx dy incy) (declare (type (simple-array double-float (*)) dy dx) (type fixnum incy incx n)) @@ -2109,13 +2110,13 @@ end_label (return (values ddot nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dnrm2 BLAS} %\pagehead{dnrm2}{dnrm2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dnrm2.input} )set break resume )sys rm -f dnrm2.output )spool dnrm2.output @@ -2125,8 +2126,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dnrm2.help} ==================================================================== dnrm2 examples ==================================================================== @@ -2177,9 +2178,9 @@ x(1-incx * (n-1)), x(1-incx * (n-2)), ..., x(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 dnrm2} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -2225,13 +2226,13 @@ end_label (return (values dnrm2 nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{drotg BLAS} %\pagehead{drotg}{drotg} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{drotg.input} )set break resume )sys rm -f drotg.output )spool drotg.output @@ -2241,8 +2242,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{drotg.help} ==================================================================== drotg examples ==================================================================== @@ -2328,7 +2329,7 @@ S = SQRT( 1 - C * C) ENDIF -@ +\end{chunk} Double precision. Computes plane rotation. Arguments are: @@ -2346,7 +2347,7 @@ \item 4 s - double-float \end{itemize} -<>= +\begin{chunk}{BLAS 1 drotg} (defun drotg (da db c s) (declare (type (double-float) s c db da)) (prog ((roe 0.0) (scale 0.0) (r 0.0) (z 0.0)) @@ -2378,13 +2379,13 @@ (setf db z) (return (values da db c s)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{drot BLAS} %\pagehead{drot}{drot} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{drot.input} )set break resume )sys rm -f drot.output )spool drot.output @@ -2394,8 +2395,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{drot.help} ==================================================================== drot examples ==================================================================== @@ -2478,9 +2479,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 drot} (defun drot (n dx incx dy incy c s) (declare (type (double-float) s c) (type (simple-array double-float (*)) dy dx) @@ -2531,13 +2532,13 @@ end_label (return (values nil nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dscal BLAS} %\pagehead{dscal}{dscal} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dscal.input} )set break resume )sys rm -f dscal.output )spool dscal.output @@ -2547,8 +2548,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dscal.help} ==================================================================== dscal examples ==================================================================== @@ -2600,9 +2601,9 @@ x(1-incx * (n-1)), x(1-incx * (n-2)), ..., x(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 dscal} (defun dscal (n da dx incx) (declare (type (simple-array double-float (*)) dx) (type (double-float) da) @@ -2675,13 +2676,13 @@ end_label (return (values nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dswap BLAS} %\pagehead{dswap}{dswap} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dswap.input} )set break resume )sys rm -f dswap.output )spool dswap.output @@ -2691,8 +2692,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dswap.help} ==================================================================== dswap examples ==================================================================== @@ -2751,9 +2752,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 dswap} (defun dswap (n dx incx dy incy) (declare (type (simple-array double-float (*)) dy dx) (type fixnum incy incx n)) @@ -2846,13 +2847,13 @@ end_label (return (values nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dzasum BLAS} %\pagehead{dzasum}{dzasum} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dzasum.input} )set break resume )sys rm -f dzasum.output )spool dzasum.output @@ -2862,8 +2863,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dzasum.help} ==================================================================== dzasum examples ==================================================================== @@ -2915,7 +2916,7 @@ x(1-incx * (n-1)), x(1-incx * (n-2)), ..., x(1) -@ +\end{chunk} Computes (complex double-float) $asum \leftarrow ||re(x)||_1 + ||im(x)||_1$ @@ -2933,7 +2934,7 @@ \item 3 nil \end{itemize} -<>= +\begin{chunk}{BLAS 1 dzasum} (defun dzasum (n zx incx) (declare (type (simple-array (complex double-float) (*)) zx) (type fixnum incx n)) @@ -2969,13 +2970,13 @@ end_label (return (values dzasum nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dznrm2 BLAS} %\pagehead{dznrm2}{dznrm2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dznrm2.input} )set break resume )sys rm -f dznrm2.output )spool dznrm2.output @@ -2985,8 +2986,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dznrm2.help} ==================================================================== dznrm2 examples ==================================================================== @@ -3038,9 +3039,9 @@ x(1-incx * (n-1)), x(1-incx * (n-2)), ..., x(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 dznrm2} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -3099,13 +3100,13 @@ end_label (return (values dznrm2 nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{icamax BLAS} %\pagehead{icamax}{icamax} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{icamax.input} )set break resume )sys rm -f icamax.output )spool icamax.output @@ -3115,8 +3116,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{icamax.help} ==================================================================== icamax examples ==================================================================== @@ -3176,9 +3177,9 @@ ABS (x(1+(n-index) * |incx|)) when incx < 0 -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 icamax} (defun icamax (n cx incx) (declare (type (simple-array (complex single-float) (*)) cx) (type fixnum incx n)) @@ -3231,13 +3232,13 @@ end_label (return (values icamax nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{idamax BLAS} %\pagehead{idamax}{idamax} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{idamax.input} )set break resume )sys rm -f idamax.output )spool idamax.output @@ -3247,8 +3248,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{idamax.help} ==================================================================== idamax examples ==================================================================== @@ -3302,9 +3303,9 @@ ABS (x(1+(n-index) * |incx|)) when incx < 0 -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 idamax} (defun idamax (n dx incx) (declare (type (simple-array double-float (*)) dx) (type fixnum incx n)) @@ -3366,13 +3367,13 @@ end_label (return (values idamax nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{isamax BLAS} %\pagehead{isamax}{isamax} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{isamax.input} )set break resume )sys rm -f isamax.output )spool isamax.output @@ -3382,8 +3383,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{isamax.help} ==================================================================== isamax examples ==================================================================== @@ -3442,9 +3443,9 @@ ABS (x(1+(n-index) * |incx|)) when incx < 0 -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 isamax} (defun isamax (n sx incx) (declare (type (simple-array single-float (*)) sx) (type fixnum incx n)) @@ -3485,13 +3486,13 @@ end_label (return (values isamax nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{izamax BLAS} %\pagehead{izamax}{izamax} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{izamax.input} )set break resume )sys rm -f izamax.output )spool izamax.output @@ -3501,8 +3502,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{izamax.help} ==================================================================== izamax examples ==================================================================== @@ -3562,9 +3563,9 @@ ABS (x(1+(n-index) * |incx|)) when incx < 0 -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 izamax} (defun izamax (n zx incx) (declare (type (simple-array (complex double-float) (*)) zx) (type fixnum incx n)) @@ -3609,13 +3610,13 @@ end_label (return (values izamax nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zaxpy BLAS} %\pagehead{zaxpy}{zaxpy} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zaxpy.input} )set break resume )sys rm -f zaxpy.output )spool zaxpy.output @@ -3625,8 +3626,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zaxpy.help} ==================================================================== zaxpy examples ==================================================================== @@ -3700,7 +3701,7 @@ When n <= 0, double complex alpha = 0 = 0.+0.i, this routine returns immediately with no change in its arguments. -@ +\end{chunk} Computes (complex double-float) $y \leftarrow \alpha{}x + y$ @@ -3724,7 +3725,7 @@ \item 6 nil \end{itemize} -<>= +\begin{chunk}{BLAS 1 zaxpy} (defun zaxpy (n za zx incx zy incy) (declare (type (simple-array (complex double-float) (*)) zy zx) (type (complex double-float) za) @@ -3769,13 +3770,13 @@ end_label (return (values nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zcopy BLAS} %\pagehead{zcopy}{zcopy} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zcopy.input} )set break resume )sys rm -f zcopy.output )spool zcopy.output @@ -3785,8 +3786,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zcopy.help} ==================================================================== zcopy examples ==================================================================== @@ -3846,9 +3847,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 zcopy} (defun zcopy (n zx incx zy incy) (declare (type (simple-array (complex double-float) (*)) zy zx) (type fixnum incy incx n)) @@ -3888,13 +3889,13 @@ end_label (return (values nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zdotc BLAS} %\pagehead{zdotc}{zdotc} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zdotc.input} )set break resume )sys rm -f zdotc.output )spool zdotc.output @@ -3904,8 +3905,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zdotc.help} ==================================================================== zdotc examples ==================================================================== @@ -3978,9 +3979,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 zdotc} (defun zdotc (n zx incx zy incy) (declare (type (simple-array (complex double-float) (*)) zy zx) (type fixnum incy incx n)) @@ -4033,13 +4034,13 @@ end_label (return (values zdotc nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zdotu BLAS} %\pagehead{zdotu}{zdotu} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zdotu.input} )set break resume )sys rm -f zdotu.output )spool zdotu.output @@ -4049,8 +4050,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zdotu.help} ==================================================================== zdotu examples ==================================================================== @@ -4116,9 +4117,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 zdotu} (defun zdotu (n zx incx zy incy) (declare (type (simple-array (complex double-float) (*)) zy zx) (type fixnum incy incx n)) @@ -4167,13 +4168,13 @@ end_label (return (values zdotu nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zdscal BLAS} %\pagehead{zdscal}{zdscal} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zdscal.input} )set break resume )sys rm -f zdscal.output )spool zdscal.output @@ -4183,8 +4184,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zdscal.help} ==================================================================== zdscal examples ==================================================================== @@ -4239,9 +4240,9 @@ x(1-incx * (n-1)), x(1-incx * (n-2)), ..., x(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 zdscal} (defun zdscal (n da zx incx) (declare (type (simple-array (complex double-float) (*)) zx) (type (double-float) da) @@ -4271,13 +4272,13 @@ end_label (return (values nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zrotg BLAS} %\pagehead{zrotg}{zrotg} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zrotg.input} )set break resume )sys rm -f zrotg.output )spool zrotg.output @@ -4287,8 +4288,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zrotg.help} ==================================================================== zrotg examples ==================================================================== @@ -4371,7 +4372,7 @@ if |a| = 0 s = ( 1.0 , 0.0 ) -@ +\end{chunk} (Complex Double-Float). Computes plane rotation. Arguments are: @@ -4389,7 +4390,7 @@ \item 4 s - s \end{itemize} -<>= +\begin{chunk}{BLAS 1 zrotg} (defun zrotg (ca cb c s) (declare (type (double-float) c) (type (complex double-float) s cb ca)) (prog ((alpha #C(0.0 0.0)) (norm 0.0) (scale 0.0)) @@ -4418,13 +4419,13 @@ label20 (return (values ca nil c s)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zscal BLAS} %\pagehead{zscal}{zscal} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zscal.input} )set break resume )sys rm -f zscal.output )spool zscal.output @@ -4434,8 +4435,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zscal.help} ==================================================================== zscal examples ==================================================================== @@ -4488,9 +4489,9 @@ x(1-incx * (n-1)), x(1-incx * (n-2)), ..., x(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 zscal} (defun zscal (n za zx incx) (declare (type (simple-array (complex double-float) (*)) zx) (type (complex double-float) za) @@ -4518,13 +4519,13 @@ end_label (return (values nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zswap BLAS} %\pagehead{zswap}{zswap} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zswap.input} )set break resume )sys rm -f zswap.output )spool zswap.output @@ -4534,8 +4535,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zswap.help} ==================================================================== zswap examples ==================================================================== @@ -4594,9 +4595,9 @@ y(1-incy * (n-1)), y(1-incy * (n-2)), ..., y(1) -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 1 zswap} (defun zswap (n zx incx zy incy) (declare (type (simple-array (complex double-float) (*)) zy zx) (type fixnum incy incx n)) @@ -4641,7 +4642,7 @@ end_label (return (values nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{BLAS Level 2} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -4649,7 +4650,7 @@ %\pagehead{dgbmv}{dgbmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgbmv.input} )set break resume )sys rm -f dgbmv.output )spool dgbmv.output @@ -4659,8 +4660,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgbmv.help} ==================================================================== dgbmv examples ==================================================================== @@ -4783,9 +4784,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dgbmv} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -5062,13 +5063,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgemv BLAS} %\pagehead{dgemv}{dgemv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgemv.input} )set break resume )sys rm -f dgemv.output )spool dgemv.output @@ -5078,8 +5079,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgemv.help} ==================================================================== dgemv examples ==================================================================== @@ -5176,9 +5177,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dgemv} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -5403,13 +5404,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dger BLAS} %\pagehead{dger}{dger} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dger.input} )set break resume )sys rm -f dger.output )spool dger.output @@ -5419,8 +5420,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dger.help} ==================================================================== dger examples ==================================================================== @@ -5493,9 +5494,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dger} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dger (m n alpha x incx y incy a lda) @@ -5604,13 +5605,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsbmv BLAS} %\pagehead{dsbmv}{dsbmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsbmv.input} )set break resume )sys rm -f dsbmv.output )spool dsbmv.output @@ -5620,8 +5621,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsbmv.help} ==================================================================== dsbmv examples ==================================================================== @@ -5745,9 +5746,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dsbmv} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -6060,13 +6061,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dspmv BLAS} %\pagehead{dspmv}{dspmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dspmv.input} )set break resume )sys rm -f dspmv.output )spool dspmv.output @@ -6076,8 +6077,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dspmv.help} ==================================================================== dspmv examples ==================================================================== @@ -6170,9 +6171,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dspmv} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -6479,13 +6480,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dspr2 BLAS} %\pagehead{dspr2}{dspr2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dspr2.input} )set break resume )sys rm -f dspr2.output )spool dspr2.output @@ -6495,8 +6496,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dspr2.help} ==================================================================== dspr2 examples ==================================================================== @@ -6586,9 +6587,9 @@ ten by the lower triangular part of the updated matrix. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dspr2} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dspr2 (uplo n alpha x incx y incy ap) @@ -6859,13 +6860,13 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dspr BLAS} %%\pagehead{dspr}{dspr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dspr.input} )set break resume )sys rm -f dspr.output )spool dspr.output @@ -6875,8 +6876,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dspr.help} ==================================================================== dspr examples ==================================================================== @@ -6956,9 +6957,9 @@ ten by the lower triangular part of the updated matrix. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dspr} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dspr (uplo n alpha x incx ap) @@ -7155,13 +7156,13 @@ end_label (return (values nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsymv BLAS} %\pagehead{dsymv}{dsymv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsymv.input} )set break resume )sys rm -f dsymv.output )spool dsymv.output @@ -7171,8 +7172,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsymv.help} ==================================================================== dsymv examples ==================================================================== @@ -7267,9 +7268,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dsymv} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -7551,13 +7552,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsyr2 BLAS} %\pagehead{dsyr2}{dsyr2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsyr2.input} )set break resume )sys rm -f dsyr2.output )spool dsyr2.output @@ -7567,8 +7568,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsyr2.help} ==================================================================== dsyr2 examples ==================================================================== @@ -7662,9 +7663,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dsyr2} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dsyr2 (uplo n alpha x incx y incy a lda) @@ -7914,13 +7915,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsyr BLAS} %\pagehead{dsyr}{dsyr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsyr.input} )set break resume )sys rm -f dsyr.output )spool dsyr.output @@ -7930,8 +7931,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsyr.help} ==================================================================== dsyr examples ==================================================================== @@ -8014,9 +8015,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dsyr} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dsyr (uplo n alpha x incx a lda) @@ -8192,13 +8193,13 @@ end_label (return (values nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtbmv BLAS} %\pagehead{dtbmv}{dtbmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtbmv.input} )set break resume )sys rm -f dtbmv.output )spool dtbmv.output @@ -8208,8 +8209,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtbmv.help} ==================================================================== dtbmv examples ==================================================================== @@ -8337,9 +8338,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dtbmv} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtbmv (uplo trans diag n k a lda x incx) @@ -8784,13 +8785,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtbsv BLAS} %\pagehead{dtbsv}{dtbsv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtbsv.input} )set break resume )sys rm -f dtbsv.output )spool dtbsv.output @@ -8800,8 +8801,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtbsv.help} ==================================================================== dtbsv examples ==================================================================== @@ -8934,9 +8935,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dtbsv} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtbsv (uplo trans diag n k a lda x incx) @@ -9383,13 +9384,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtpmv BLAS} %\pagehead{dtpmv}{dtpmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtpmv.input} )set break resume )sys rm -f dtpmv.output )spool dtpmv.output @@ -9399,8 +9400,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtpmv.help} ==================================================================== dtpmv examples ==================================================================== @@ -9495,9 +9496,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dtpmv} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtpmv (uplo trans diag n ap x incx) @@ -9943,13 +9944,13 @@ end_label (return (values nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtpsv BLAS} %\pagehead{dtpsv}{dtpsv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtpsv.input} )set break resume )sys rm -f dtpsv.output )spool dtpsv.output @@ -9959,8 +9960,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtpsv.help} ==================================================================== dtpsv examples ==================================================================== @@ -10058,9 +10059,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dtpsv} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtpsv (uplo trans diag n ap x incx) @@ -10508,13 +10509,13 @@ end_label (return (values nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrmv BLAS} %\pagehead{dtrmv}{dtrmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrmv.input} )set break resume )sys rm -f dtrmv.output )spool dtrmv.output @@ -10524,8 +10525,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrmv.help} ==================================================================== dtrmv examples ==================================================================== @@ -10621,9 +10622,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dtrmv} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtrmv (uplo trans diag n a lda x incx) @@ -11007,13 +11008,13 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrsv BLAS} %\pagehead{dtrsv}{dtrsv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrsv.input} )set break resume )sys rm -f dtrsv.output )spool dtrsv.output @@ -11023,8 +11024,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrsv.help} ==================================================================== dtrsv examples ==================================================================== @@ -11125,9 +11126,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 dtrsv} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtrsv (uplo trans diag n a lda x incx) @@ -11513,13 +11514,13 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zgbmv BLAS} %\pagehead{zgbmv}{zgbmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zgbmv.input} )set break resume )sys rm -f zgbmv.output )spool zgbmv.output @@ -11529,8 +11530,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zgbmv.help} ==================================================================== zgbmv examples ==================================================================== @@ -11655,9 +11656,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zgbmv} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zgbmv (trans m n kl ku alpha a lda x incx beta y incy) @@ -11992,13 +11993,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zgemv BLAS} %\pagehead{zgemv}{zgemv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zgemv.input} )set break resume )sys rm -f zgemv.output )spool zgemv.output @@ -12008,8 +12009,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zgemv.help} ==================================================================== zgemv examples ==================================================================== @@ -12107,9 +12108,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zgemv} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zgemv (trans m n alpha a lda x incx beta y incy) @@ -12372,13 +12373,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zgerc BLAS} %\pagehead{zgerc}{zgerc} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zgerc.input} )set break resume )sys rm -f zgerc.output )spool zgerc.output @@ -12388,8 +12389,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zgerc.help} ==================================================================== zgerc examples ==================================================================== @@ -12463,9 +12464,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zgerc} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun zgerc (m n alpha x incx y incy a lda) @@ -12582,13 +12583,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zgeru BLAS} %\pagehead{zgeru}{zgeru} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zgeru.input} )set break resume )sys rm -f zgeru.output )spool zgeru.output @@ -12598,8 +12599,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zgeru.help} ==================================================================== zgeru examples ==================================================================== @@ -12672,9 +12673,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zgeru} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun zgeru (m n alpha x incx y incy a lda) @@ -12783,13 +12784,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zhbmv BLAS} %\pagehead{zhbmv}{zhbmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zhbmv.input} )set break resume )sys rm -f zhbmv.output )spool zhbmv.output @@ -12799,8 +12800,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zhbmv.help} ==================================================================== zhbmv examples ==================================================================== @@ -12927,9 +12928,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zhbmv} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zhbmv (uplo n k alpha a lda x incx beta y incy) @@ -13249,13 +13250,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zhemv BLAS} %\pagehead{zhemv}{zhemv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zhemv.input} )set break resume )sys rm -f zhemv.output )spool zhemv.output @@ -13265,8 +13266,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zhemv.help} ==================================================================== zhemv examples ==================================================================== @@ -13363,9 +13364,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zhemv} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zhemv (uplo n alpha a lda x incx beta y incy) @@ -13654,13 +13655,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zher2 BLAS} %\pagehead{zher2}{zher2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zher2.input} )set break resume )sys rm -f zher2.output )spool zher2.output @@ -13670,8 +13671,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zher2.help} ==================================================================== zher2 examples ==================================================================== @@ -13768,9 +13769,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zher2} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun zher2 (uplo n alpha x incx y incy a lda) @@ -14196,13 +14197,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zher BLAS} %\pagehead{zher}{zher} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zher.input} )set break resume )sys rm -f zher.output )spool zher.output @@ -14212,8 +14213,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zher.help} ==================================================================== zher examples ==================================================================== @@ -14299,9 +14300,9 @@ declared in the calling (sub) program. LDA must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zher} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun zher (uplo n alpha x incx a lda) @@ -14620,13 +14621,13 @@ end_label (return (values nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zhpmv BLAS} %\pagehead{zhpmv}{zhpmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zhpmv.input} )set break resume )sys rm -f zhpmv.output )spool zhpmv.output @@ -14636,8 +14637,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zhpmv.help} ==================================================================== zhpmv examples ==================================================================== @@ -14732,9 +14733,9 @@ ments of Y. INCY must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zhpmv} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zhpmv (uplo n alpha ap x incx beta y incy) @@ -15048,13 +15049,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zhpr2 BLAS} %\pagehead{zhpr2}{zhpr2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zhpr2.input} )set break resume )sys rm -f zhpr2.output )spool zhpr2.output @@ -15064,8 +15065,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zhpr2.help} ==================================================================== zhpr2 examples ==================================================================== @@ -15315,9 +15316,9 @@ PUR- POSE -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zhpr2} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun zhpr2 (uplo n alpha x incx y incy ap) @@ -15765,13 +15766,13 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zhpr BLAS} %\pagehead{zhpr}{zhpr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zhpr.input} )set break resume )sys rm -f zhpr.output )spool zhpr.output @@ -15781,8 +15782,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zhpr.help} ==================================================================== zhpr examples ==================================================================== @@ -15864,9 +15865,9 @@ nal elements need not be set, they are assumed to be zero, and on exit they are set to zero. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 zhpr} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun zhpr (uplo n alpha x incx ap) @@ -16208,13 +16209,13 @@ end_label (return (values nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztbmv BLAS} %\pagehead{ztbmv}{ztbmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztbmv.input} )set break resume )sys rm -f ztbmv.output )spool ztbmv.output @@ -16224,8 +16225,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztbmv.help} ==================================================================== ztbmv examples ==================================================================== @@ -16353,9 +16354,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 ztbmv} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun ztbmv (uplo trans diag n k a lda x incx) @@ -16951,13 +16952,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztbsv BLAS} %\pagehead{ztbsv}{ztbsv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztbsv.input} )set break resume )sys rm -f ztbsv.output )spool ztbsv.output @@ -16967,8 +16968,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztbsv.help} ==================================================================== ztbsv examples ==================================================================== @@ -17101,9 +17102,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 ztbsv} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun ztbsv (uplo trans diag n k a lda x incx) @@ -17699,13 +17700,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztpmv BLAS} %\pagehead{ztpmv}{ztpmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztpmv.input} )set break resume )sys rm -f ztpmv.output )spool ztpmv.output @@ -17715,8 +17716,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztpmv.help} ==================================================================== ztpmv examples ==================================================================== @@ -17811,9 +17812,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 ztpmv} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun ztpmv (uplo trans diag n ap x incx) @@ -18395,13 +18396,13 @@ end_label (return (values nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztpsv BLAS} %\pagehead{ztpsv}{ztpsv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztpsv.input} )set break resume )sys rm -f ztpsv.output )spool ztpsv.output @@ -18411,8 +18412,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztpsv.help} ==================================================================== ztpsv examples ==================================================================== @@ -18510,9 +18511,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 ztpsv} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun ztpsv (uplo trans diag n ap x incx) @@ -19108,13 +19109,13 @@ end_label (return (values nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztrmv BLAS} %\pagehead{ztrmv}{ztrmv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztrmv.input} )set break resume )sys rm -f ztrmv.output )spool ztrmv.output @@ -19124,8 +19125,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztrmv.help} ==================================================================== ztrmv examples ==================================================================== @@ -19221,9 +19222,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 ztrmv} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun ztrmv (uplo trans diag n a lda x incx) @@ -19731,13 +19732,13 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztrsv BLAS} %\pagehead{ztrsv}{ztrsv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztrsv.input} )set break resume )sys rm -f ztrsv.output )spool ztrsv.output @@ -19747,8 +19748,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztrsv.help} ==================================================================== ztrsv examples ==================================================================== @@ -19849,9 +19850,9 @@ ments of X. INCX must not be zero. Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 2 ztrsv} (let* ((zero (complex 0.0 0.0))) (declare (type (complex double-float) zero)) (defun ztrsv (uplo trans diag n a lda x incx) @@ -20361,7 +20362,7 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{BLAS Level 3} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -20369,7 +20370,7 @@ %\pagehead{dgemm}{dgemm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgemm.input} )set break resume )sys rm -f dgemm.output )spool dgemm.output @@ -20379,8 +20380,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgemm.help} ==================================================================== dgemm examples ==================================================================== @@ -20513,9 +20514,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 dgemm} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -20807,13 +20808,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsymm BLAS} %\pagehead{dsymm}{dsymm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsymm.input} )set break resume )sys rm -f dsymm.output )spool dsymm.output @@ -20823,8 +20824,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsymm.help} ==================================================================== dsymm examples ==================================================================== @@ -20962,9 +20963,9 @@ Level 3 Blas routine. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 dsymm} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -21315,13 +21316,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsyr2k BLAS} %\pagehead{dsyr2k}{dsyr2k} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsyr2k.input} )set break resume )sys rm -f dsyr2k.output )spool dsyr2k.output @@ -21331,8 +21332,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsyr2k.help} ==================================================================== dsyr2k examples ==================================================================== @@ -21470,9 +21471,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 dsyr2k} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -21843,13 +21844,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dsyrk BLAS} %\pagehead{dsyrk}{dsyrk} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dsyrk.input} )set break resume )sys rm -f dsyrk.output )spool dsyrk.output @@ -21859,8 +21860,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dsyrk.help} ==================================================================== dsyrk examples ==================================================================== @@ -21978,9 +21979,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 dsyrk} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -22290,13 +22291,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrmm BLAS} %\pagehead{dtrmm}{dtrmm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrmm.input} )set break resume )sys rm -f dtrmm.output )spool dtrmm.output @@ -22306,8 +22307,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrmm.help} ==================================================================== dtrmm examples ==================================================================== @@ -22433,9 +22434,9 @@ declared in the calling (sub) program. LDB must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 dtrmm} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -22924,13 +22925,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrsm BLAS} %\pagehead{dtrsm}{dtrsm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrsm.input} )set break resume )sys rm -f dtrsm.output )spool dtrsm.output @@ -22940,8 +22941,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrsm.help} ==================================================================== dtrsm examples ==================================================================== @@ -23070,9 +23071,9 @@ declared in the calling (sub) program. LDB must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 dtrsm} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -23630,13 +23631,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zgemm BLAS} %\pagehead{zgemm}{zgemm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zgemm.input} )set break resume )sys rm -f zgemm.output )spool zgemm.output @@ -23646,8 +23647,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zgemm.help} ==================================================================== zgemm examples ==================================================================== @@ -23780,9 +23781,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zgemm} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zgemm (transa transb m n k alpha a lda b ldb$ beta c ldc) @@ -24300,13 +24301,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zhemm BLAS} %\pagehead{zhemm}{zhemm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zhemm.input} )set break resume )sys rm -f zhemm.output )spool zhemm.output @@ -24316,8 +24317,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zhemm.help} ==================================================================== zhemm examples ==================================================================== @@ -24455,9 +24456,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zhemm} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zhemm (side uplo m n alpha a lda b ldb$ beta c ldc) @@ -24815,13 +24816,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zher2k BLAS} %\pagehead{zher2k}{zher2k} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zher2k.input} )set break resume )sys rm -f zher2k.output )spool zher2k.output @@ -24831,8 +24832,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zher2k.help} ==================================================================== zher2k examples ==================================================================== @@ -24976,9 +24977,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zher2k} (let* ((one 1.0) (zero (complex 0.0 0.0))) (declare (type (double-float 1.0 1.0) one) (type (complex double-float) zero)) (defun zher2k (uplo trans n k alpha a lda b ldb$ beta c ldc) @@ -25566,13 +25567,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zherk BLAS} %\pagehead{zherk}{zherk} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zherk.input} )set break resume )sys rm -f zherk.output )spool zherk.output @@ -25582,8 +25583,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zherk.help} ==================================================================== zherk examples ==================================================================== @@ -25705,9 +25706,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zherk} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -26235,13 +26236,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zsymm BLAS} %\pagehead{zsymm}{zsymm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zsymm.input} )set break resume )sys rm -f zsymm.output )spool zsymm.output @@ -26251,8 +26252,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zsymm.help} ==================================================================== zsymm examples ==================================================================== @@ -26387,9 +26388,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zsymm} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zsymm (side uplo m n alpha a lda b ldb$ beta c ldc) @@ -26739,13 +26740,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zsyr2k BLAS} %\pagehead{zsyr2k}{zsyr2k} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zsyr2k.input} )set break resume )sys rm -f zsyr2k.output )spool zsyr2k.output @@ -26755,8 +26756,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zsyr2k.help} ==================================================================== zsyr2k examples ==================================================================== @@ -26890,9 +26891,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zsyr2k} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zsyr2k (uplo trans n k alpha a lda b ldb$ beta c ldc) @@ -27260,13 +27261,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zsyrk BLAS} %\pagehead{zsyrk}{zsyrk} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zsyrk.input} )set break resume )sys rm -f zsyrk.output )spool zsyrk.output @@ -27276,8 +27277,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zsyrk.help} ==================================================================== zsyrk examples ==================================================================== @@ -27394,9 +27395,9 @@ declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 zsyrk} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun zsyrk (uplo trans n k alpha a lda beta c ldc) @@ -27704,13 +27705,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztrmm BLAS} %\pagehead{ztrmm}{ztrmm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztrmm.input} )set break resume )sys rm -f ztrmm.output )spool ztrmm.output @@ -27720,8 +27721,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztrmm.help} ==================================================================== ztrmm examples ==================================================================== @@ -27843,9 +27844,9 @@ declared in the calling (sub) program. LDB must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 ztrmm} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun ztrmm (side uplo transa diag m n alpha a lda b ldb$) @@ -28433,13 +28434,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ztrsm BLAS} %\pagehead{ztrsm}{ztrsm} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ztrsm.input} )set break resume )sys rm -f ztrsm.output )spool ztrsm.output @@ -28449,8 +28450,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ztrsm.help} ==================================================================== ztrsm examples ==================================================================== @@ -28581,9 +28582,9 @@ declared in the calling (sub) program. LDB must be at least max( 1, m ). Unchanged on exit. -@ +\end{chunk} -<>= +\begin{chunk}{BLAS 3 ztrsm} (let* ((one (complex 1.0 0.0)) (zero (complex 0.0 0.0))) (declare (type (complex double-float) one) (type (complex double-float) zero)) (defun ztrsm (side uplo transa diag m n alpha a lda b ldb$) @@ -29240,7 +29241,7 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{LAPACK} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -29248,7 +29249,7 @@ %\pagehead{dbdsdc}{dbdsdc} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dbdsdc.input} )set break resume )sys rm -f dbdsdc.output )spool dbdsdc.output @@ -29258,8 +29259,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dbdsdc.help} ==================================================================== dbdsdc examples ==================================================================== @@ -29382,7 +29383,7 @@ > 0: The algorithm failed to compute an singular value. The update process of divide and conquer failed. -@ +\end{chunk} The input arguments are: \begin{itemize} @@ -29435,7 +29436,7 @@ \calls{dbdsdc}{xerbla} \calls{dbdsdc}{char-equal} -<>= +\begin{chunk}{LAPACK dbdsdc} (let* ((zero 0.0) (one 1.0) (two 2.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -29862,13 +29863,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dbdsqr LAPACK} %\pagehead{dbdsqr}{dbdsqr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dbdsqr.input} )set break resume )sys rm -f dbdsqr.output )spool dbdsqr.output @@ -29878,8 +29879,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dbdsqr.help} ==================================================================== dbdsqr examples ==================================================================== @@ -30020,9 +30021,9 @@ converge) if the number of passes through the inner loop exceeds MAXITR*N**2. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dbdsqr} (let* ((zero 0.0) (one 1.0) (negone (- 1.0)) @@ -31152,13 +31153,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ddisna LAPACK} %\pagehead{ddisna}{ddisna} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ddisna.input} )set break resume )sys rm -f ddisna.output )spool ddisna.output @@ -31168,8 +31169,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ddisna.help} ==================================================================== ddisna examples ==================================================================== @@ -31241,9 +31242,9 @@ = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK ddisna} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun ddisna (job m n d sep info) @@ -31392,13 +31393,13 @@ end_label (return (values nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgebak LAPACK} %\pagehead{dgebak}{dgebak} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgebak.input} )set break resume )sys rm -f dgebak.output )spool dgebak.output @@ -31408,8 +31409,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgebak.help} ==================================================================== dgebak examples ==================================================================== @@ -31478,9 +31479,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgebak} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgebak (job side n ilo ihi scale m v ldv info) @@ -31608,13 +31609,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgebal LAPACK} %\pagehead{dgebal}{dgebal} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgebal.input} )set break resume )sys rm -f dgebal.output )spool dgebal.output @@ -31624,8 +31625,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgebal.help} ==================================================================== dgebal examples ==================================================================== @@ -31717,9 +31718,9 @@ This subroutine is based on the EISPACK routine BALANC. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgebal} (let* ((zero 0.0) (one 1.0) (sclfac 8.0) (factor 0.95)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -31943,13 +31944,13 @@ end_label (return (values nil nil nil nil ilo ihi nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgebd2 LAPACK} %\pagehead{dgebd2}{dgebd2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgebd2.input} )set break resume )sys rm -f dgebd2.output )spool dgebd2.output @@ -31959,8 +31960,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgebd2.help} ==================================================================== dgebd2 examples ==================================================================== @@ -32078,9 +32079,9 @@ denotes an element of the vector defining H(i), and ui an element of the vector defining G(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgebd2} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -32299,13 +32300,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgebrd LAPACK} %\pagehead{dgebrd}{dgebrd} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgebrd.input} )set break resume )sys rm -f dgebrd.output )spool dgebrd.output @@ -32315,8 +32316,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgebrd.help} ==================================================================== dgebrd examples ==================================================================== @@ -32445,9 +32446,9 @@ denotes an element of the vector defining H(i), and ui an element of the vector defining G(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgebrd} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgebrd (m n a lda d e tauq taup work lwork info) @@ -32628,13 +32629,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgeev LAPACK} %\pagehead{dgeev}{dgeev} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgeev.input} )set break resume )sys rm -f dgeev.output )spool dgeev.output @@ -32644,8 +32645,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgeev.help} ==================================================================== dgeev examples ==================================================================== @@ -32757,9 +32758,9 @@ eigenvalues, and no eigenvectors have been computed; elements i+1:N of WR and WI contain eigenvalues which have converged. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgeev} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -33289,13 +33290,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgeevx LAPACK} %\pagehead{dgeevx}{dgeevx} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgeevx.input} )set break resume )sys rm -f dgeevx.output )spool dgeevx.output @@ -33305,8 +33306,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgeevx.help} ==================================================================== dgeevx examples ==================================================================== @@ -33499,9 +33500,9 @@ computed; elements 1:ILO-1 and i+1:N of WR and WI contain eigenvalues which have converged. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgeevx} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -34138,13 +34139,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgehd2 LAPACK} %\pagehead{dgehd2}{dgehd2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgehd2.input} )set break resume )sys rm -f dgehd2.output )spool dgehd2.output @@ -34154,8 +34155,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgehd2.help} ==================================================================== dgehd2 examples ==================================================================== @@ -34240,9 +34241,9 @@ fied element of the upper Hessenberg matrix H, and vi denotes an ele- ment of the vector defining H(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgehd2} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgehd2 (n ilo ihi a lda tau work info) @@ -34329,13 +34330,13 @@ end_label (return (values nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgehrd LAPACK} %\pagehead{dgehrd}{dgehrd} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgehrd.input} )set break resume )sys rm -f dgehrd.output )spool dgehrd.output @@ -34345,8 +34346,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgehrd.help} ==================================================================== dgehrd examples ==================================================================== @@ -34443,9 +34444,9 @@ See Quintana-Orti and Van de Geijn (2005). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgehrd} (let* ((nbmax 64) (ldt (+ nbmax 1)) (zero 0.0) (one 1.0)) (declare (type (fixnum 64 64) nbmax) (type fixnum ldt) @@ -34621,13 +34622,13 @@ end_label (return (values nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgelq2 LAPACK} %\pagehead{dgelq2}{dgelq2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgelq2.input} )set break resume )sys rm -f dgelq2.output )spool dgelq2.output @@ -34637,8 +34638,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgelq2.help} ==================================================================== dgelq2 examples ==================================================================== @@ -34701,9 +34702,9 @@ v(1:i-1) = 0 and v(i) = 1; v(i+1:n) is stored on exit in A(i,i+1:n), and tau in TAU(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgelq2} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgelq2 (m n a lda tau work info) @@ -34772,13 +34773,13 @@ end_label (return (values nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgelqf LAPACK} %\pagehead{dgelqf}{dgelqf} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgelqf.input} )set break resume )sys rm -f dgelqf.output )spool dgelqf.output @@ -34788,8 +34789,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgelqf.help} ==================================================================== dgelqf examples ==================================================================== @@ -34864,9 +34865,9 @@ v(1:i-1) = 0 and v(i) = 1; v(i+1:n) is stored on exit in A(i,i+1:n), and tau in TAU(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgelqf} (defun dgelqf (m n a lda tau work lwork info) (declare (type (simple-array double-float (*)) work tau a) (type fixnum info lwork lda n m)) @@ -34981,13 +34982,13 @@ end_label (return (values nil nil nil nil nil nil nil info))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgeqr2 LAPACK} %\pagehead{dgeqr2}{dgeqr2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgeqr2.input} )set break resume )sys rm -f dgeqr2.output )spool dgeqr2.output @@ -34997,8 +34998,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgeqr2.help} ==================================================================== dgeqr2 examples ==================================================================== @@ -35061,9 +35062,9 @@ v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i), and tau in TAU(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgeqr2} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgeqr2 (m n a lda tau work info) @@ -35128,13 +35129,13 @@ end_label (return (values nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgeqrf LAPACK} %\pagehead{dgeqrf}{dgeqrf} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgeqrf.input} )set break resume )sys rm -f dgeqrf.output )spool dgeqrf.output @@ -35144,8 +35145,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgeqrf.help} ==================================================================== dgeqrf examples ==================================================================== @@ -35222,9 +35223,9 @@ v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i), and tau in TAU(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgeqrf} (defun dgeqrf (m n a lda tau work lwork info) (declare (type (simple-array double-float (*)) work tau a) (type fixnum info lwork lda n m)) @@ -35339,13 +35340,13 @@ end_label (return (values nil nil nil nil nil nil nil info))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgesdd LAPACK} %\pagehead{dgesdd}{dgesdd} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgesdd.input} )set break resume )sys rm -f dgesdd.output )spool dgesdd.output @@ -35355,8 +35356,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgesdd.help} ==================================================================== dgesdd examples ==================================================================== @@ -35486,9 +35487,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: DBDSDC did not converge, updating process failed. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgesdd} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -37493,13 +37494,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgesvd LAPACK} %\pagehead{dgesvd}{dgesvd} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgesvd.input} )set break resume )sys rm -f dgesvd.output )spool dgesvd.output @@ -37509,8 +37510,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgesvd.help} ==================================================================== dgesvd examples ==================================================================== @@ -37640,9 +37641,9 @@ converge to zero. See the description of WORK above for details. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgesvd} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -44037,13 +44038,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgesv LAPACK} %\pagehead{dgesv}{dgesv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgesv.input} )set break resume )sys rm -f dgesv.output )spool dgesv.output @@ -44053,8 +44054,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgesv.help} ==================================================================== dgesv examples ==================================================================== @@ -44123,9 +44124,9 @@ has been completed, but the factor U is exactly singular, so the solution could not be computed. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgesv} (defun dgesv (n nrhs a lda ipiv b ldb$ info) (declare (type (simple-array fixnum (*)) ipiv) (type (simple-array double-float (*)) b a) @@ -44167,13 +44168,13 @@ end_label (return (values nil nil nil nil nil nil nil info))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgetf2 LAPACK} %\pagehead{dgetf2}{dgetf2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgetf2.input} )set break resume )sys rm -f dgetf2.output )spool dgetf2.output @@ -44183,8 +44184,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgetf2.help} ==================================================================== dgetf2 examples ==================================================================== @@ -44246,9 +44247,9 @@ sion by zero will occur if it is used to solve a system of equations. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgetf2} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -44340,13 +44341,13 @@ end_label (return (values nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgetrf LAPACK} %\pagehead{dgetrf}{dgetrf} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgetrf.input} )set break resume )sys rm -f dgetrf.output )spool dgetrf.output @@ -44356,8 +44357,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgetrf.help} ==================================================================== dgetrf examples ==================================================================== @@ -44419,9 +44420,9 @@ division by zero will occur if it is used to solve a system of equations. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgetrf} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgetrf (m n a lda ipiv info) @@ -44542,13 +44543,13 @@ end_label (return (values nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dgetrs LAPACK} %\pagehead{dgetrs}{dgetrs} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dgetrs.input} )set break resume )sys rm -f dgetrs.output )spool dgetrs.output @@ -44558,8 +44559,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dgetrs.help} ==================================================================== dgetrs examples ==================================================================== @@ -44625,9 +44626,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dgetrs} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dgetrs (trans n nrhs a lda ipiv b ldb$ info) @@ -44676,13 +44677,13 @@ end_label (return (values nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dhseqr LAPACK} %\pagehead{dhseqr}{dhseqr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dhseqr.input} )set break resume )sys rm -f dhseqr.output )spool dhseqr.output @@ -44692,8 +44693,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dhseqr.help} ==================================================================== dhseqr examples ==================================================================== @@ -44845,9 +44846,9 @@ If INFO .GT. 0 and COMPZ = 'N', then Z is not accessed. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dhseqr} (let* ((zero 0.0) (one 1.0) (two 2.0) (const 1.5) (nsmax 15) (lds nsmax)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -45302,13 +45303,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlabad LAPACK} %\pagehead{dlabad}{dlabad} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlabad.input} )set break resume )sys rm -f dlabad.output )spool dlabad.output @@ -45318,8 +45319,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlabad.help} ==================================================================== dlabad examples ==================================================================== @@ -45360,9 +45361,9 @@ exit, if LOG10(LARGE) is sufficiently large, the square root of LARGE, otherwise unchanged. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlabad} (defun dlabad (small large) (declare (type (double-float) large small)) (prog () @@ -45373,13 +45374,13 @@ (setf large (f2cl-lib:fsqrt large)))) (return (values small large)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlabrd LAPACK} %\pagehead{dlabrd}{dlabrd} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlabrd.input} )set break resume )sys rm -f dlabrd.output )spool dlabrd.output @@ -45389,8 +45390,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlabrd.help} ==================================================================== dlabrd examples ==================================================================== @@ -45520,9 +45521,9 @@ vi denotes an element of the vector defining H(i), and ui an element of the vector defining G(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlabrd} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -46047,13 +46048,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlacon LAPACK} %\pagehead{dlacon}{dlacon} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlacon.input} )set break resume )sys rm -f dlacon.output )spool dlacon.output @@ -46063,8 +46064,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlacon.help} ==================================================================== dlacon examples ==================================================================== @@ -46123,9 +46124,9 @@ real or complex matrix, with applications to condition estimation", ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlacon} (let* ((itmax 5) (zero 0.0) (one 1.0) (two 2.0)) (declare (type (fixnum 5 5) itmax) (type (double-float 0.0 0.0) zero) @@ -46273,13 +46274,13 @@ end_label (return (values nil nil nil nil est kase))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlacpy LAPACK} %\pagehead{dlacpy}{dlacpy} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlacpy.input} )set break resume )sys rm -f dlacpy.output )spool dlacpy.output @@ -46289,8 +46290,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlacpy.help} ==================================================================== dlacpy examples ==================================================================== @@ -46343,9 +46344,9 @@ LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,M). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlacpy} (defun dlacpy (uplo m n a lda b ldb$) (declare (type (simple-array double-float (*)) b a) (type fixnum ldb$ lda n m) @@ -46408,13 +46409,13 @@ end_label (return (values nil nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dladiv LAPACK} %\pagehead{dladiv}{dladiv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dladiv.input} )set break resume )sys rm -f dladiv.output )spool dladiv.output @@ -46424,8 +46425,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dladiv.help} ==================================================================== dladiv examples ==================================================================== @@ -46458,9 +46459,9 @@ Q (output) DOUBLE PRECISION The scalars p and q in the above expression. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dladiv} (defun dladiv (a b c d p q) (declare (type (double-float) q p d c b a)) (prog ((e 0.0) (f 0.0)) @@ -46478,13 +46479,13 @@ (setf q (/ (- (* b e) a) f)))) (return (values nil nil nil nil p q)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlaed6 LAPACK} %\pagehead{dlaed6}{dlaed6} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlaed6.input} )set break resume )sys rm -f dlaed6.output )spool dlaed6.output @@ -46494,8 +46495,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlaed6.help} ==================================================================== dlaed6 examples ==================================================================== @@ -46562,9 +46563,9 @@ = 0: successful exit > 0: if INFO = 1, failure to converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlaed6} (let* ((maxit 20) (zero 0.0) (one 1.0) @@ -46875,13 +46876,13 @@ end_label (return (values nil nil nil nil nil nil tau info))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlaexc LAPACK} %\pagehead{dlaexc}{dlaexc} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlaexc.input} )set break resume )sys rm -f dlaexc.output )spool dlaexc.output @@ -46891,8 +46892,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlaexc.help} ==================================================================== dlaexc examples ==================================================================== @@ -46966,9 +46967,9 @@ = 1: the transformed matrix T would be too far from Schur form; the blocks are not swapped and T and Q are unchanged. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlaexc} (let* ((zero 0.0) (one 1.0) (ten 10.0) (ldd 4) (ldx 2)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -47439,13 +47440,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlahqr LAPACK} %\pagehead{dlahqr}{dlahqr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlahqr.input} )set break resume )sys rm -f dlahqr.output )spool dlahqr.output @@ -47455,8 +47456,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlahqr.help} ==================================================================== dlahqr examples ==================================================================== @@ -47565,9 +47566,9 @@ of Z) = (initial value of Z)*U where U is the orthogonal matrix in (*) (regardless of the value of WANTT.) -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlahqr} (let* ((zero 0.0) (one 1.0) (half 0.5) (dat1 0.75) (dat2 (- 0.4375))) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -48230,13 +48231,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlahrd LAPACK} %\pagehead{dlahrd}{dlahrd} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlahrd.input} )set break resume )sys rm -f dlahrd.output )spool dlahrd.output @@ -48246,8 +48247,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlahrd.help} ==================================================================== dlahrd examples ==================================================================== @@ -48350,9 +48351,9 @@ fied element of the upper Hessenberg matrix H, and vi denotes an ele- ment of the vector defining H(i). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlahrd} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -48519,13 +48520,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlaln2 LAPACK} %\pagehead{dlaln2}{dlaln2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlaln2.input} )set break resume )sys rm -f dlaln2.output )spool dlaln2.output @@ -48535,8 +48536,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlaln2.help} ==================================================================== dlaln2 examples ==================================================================== @@ -48669,9 +48670,9 @@ the interests of speed, this routine does not check the inputs for errors. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlaln2} (let* ((zero 0.0) (one 1.0) (two 2.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -49372,13 +49373,13 @@ xnorm info))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamch LAPACK} %\pagehead{dlamch}{dlamch} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamch.input} )set break resume )sys rm -f dlamch.output )spool dlamch.output @@ -49388,8 +49389,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamch.help} ==================================================================== dlamch examples ==================================================================== @@ -49434,9 +49435,9 @@ largest exponent before overflow rmax = overflow threshold - (base**emax)*(1-eps) -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamch} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -49521,13 +49522,13 @@ end_label (return (values dlamch nil))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamc1 LAPACK} %\pagehead{dlamc1}{dlamc1} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamc1.input} )set break resume )sys rm -f dlamc1.output )spool dlamc1.output @@ -49537,8 +49538,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamc1.help} ==================================================================== dlamc1 examples ==================================================================== @@ -49592,9 +49593,9 @@ that reveal properties of floating point arithmetic units. Comms. of the ACM, 17, 276-277. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamc1} (let ((lieee1 nil) (lbeta 0) (lrnd nil) (f2cl-lib:lt 0) (first$ nil)) (declare (type fixnum f2cl-lib:lt lbeta) (type (member t nil) first$ lrnd lieee1)) @@ -49724,13 +49725,13 @@ end_label (return (values beta t$ rnd ieee1))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamc2 LAPACK} %\pagehead{dlamc2}{dlamc2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamc2.input} )set break resume )sys rm -f dlamc2.output )spool dlamc2.output @@ -49740,8 +49741,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamc2.help} ==================================================================== dlamc2 examples ==================================================================== @@ -49811,9 +49812,9 @@ The computation of EPS is based on a routine PARANOIA by W. Kahan of the University of California at Berkeley. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamc2} (let ((lbeta 0) (lemax 0) (lemin 0) @@ -50052,13 +50053,13 @@ end_label (return (values beta t$ rnd eps emin rmin emax rmax))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamc3 LAPACK} %\pagehead{dlamc3}{dlamc3} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamc3.input} )set break resume )sys rm -f dlamc3.output )spool dlamc3.output @@ -50068,8 +50069,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamc3.help} ==================================================================== dlamc3 examples ==================================================================== @@ -50100,9 +50101,9 @@ A, B (input) DOUBLE PRECISION The values A and B. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamc3} (defun dlamc3 (a b) (declare (type (double-float) b a)) (prog ((dlamc3 0.0)) @@ -50110,13 +50111,13 @@ (setf dlamc3 (+ a b)) (return (values dlamc3 a b)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamc4 LAPACK} %\pagehead{dlamc4}{dlamc4} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamc4.input} )set break resume )sys rm -f dlamc4.output )spool dlamc4.output @@ -50126,8 +50127,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamc4.help} ==================================================================== dlamc4 examples ==================================================================== @@ -50165,9 +50166,9 @@ BASE (input) INTEGER The base of the machine. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamc4} (defun dlamc4 (emin start base) (declare (type (double-float) start) (type fixnum base emin)) (prog ((a 0.0) (b1 0.0) (b2 0.0) (c1 0.0) (c2 0.0) (d1 0.0) (d2 0.0) @@ -50230,13 +50231,13 @@ end_label (return (values emin nil nil)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamc5 LAPACK} %\pagehead{dlamc5}{dlamc5} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamc5.input} )set break resume )sys rm -f dlamc5.output )spool dlamc5.output @@ -50246,8 +50247,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamc5.help} ==================================================================== dlamc5 examples ==================================================================== @@ -50300,9 +50301,9 @@ RMAX (output) DOUBLE PRECISION The largest machine floating-point number. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamc5} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -50372,13 +50373,13 @@ end_label (return (values beta nil emin ieee emax rmax))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlamrg LAPACK} %\pagehead{dlamrg}{dlamrg} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlamrg.input} )set break resume )sys rm -f dlamrg.output )spool dlamrg.output @@ -50388,8 +50389,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlamrg.help} ==================================================================== dlamrg examples ==================================================================== @@ -50439,9 +50440,9 @@ ) = A( INDEX( I ) ) for I=1,N1+N2, then B will be sorted in ascending order. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlamrg} (defun dlamrg (n1 n2 a dtrd1 dtrd2 indx) (declare (type (simple-array fixnum (*)) indx) (type (simple-array double-float (*)) a) @@ -50498,13 +50499,13 @@ end_label (return (values nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlange LAPACK} %\pagehead{dlange}{dlange} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlange.input} )set break resume )sys rm -f dlange.output )spool dlange.output @@ -50514,8 +50515,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlange.help} ==================================================================== dlange examples ==================================================================== @@ -50585,9 +50586,9 @@ where LWORK >= M when NORM = 'I'; otherwise, WORK is not refer- enced. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlange} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -50688,13 +50689,13 @@ end_label (return (values dlange nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlanhs LAPACK} %\pagehead{dlanhs}{dlanhs} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlanhs.input} )set break resume )sys rm -f dlanhs.output )spool dlanhs.output @@ -50704,8 +50705,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlanhs.help} ==================================================================== dlanhs examples ==================================================================== @@ -50772,9 +50773,9 @@ where LWORK >= N when NORM = 'I'; otherwise, WORK is not refer- enced. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlanhs} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -50889,13 +50890,13 @@ end_label (return (values dlanhs nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlanst LAPACK} %\pagehead{dlanst}{dlanst} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlanst.input} )set break resume )sys rm -f dlanst.output )spool dlanst.output @@ -50905,8 +50906,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlanst.help} ==================================================================== dlanst examples ==================================================================== @@ -50968,9 +50969,9 @@ E (input) DOUBLE PRECISION array, dimension (N-1) The (n-1) sub-diagonal or super-diagonal elements of A. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlanst} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -51062,13 +51063,13 @@ end_label (return (values dlanst nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlanv2 LAPACK} %\pagehead{dlanv2}{dlanv2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlanv2.input} )set break resume )sys rm -f dlanv2.output )spool dlanv2.output @@ -51078,8 +51079,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlanv2.help} ==================================================================== dlanv2 examples ==================================================================== @@ -51127,9 +51128,9 @@ SN (output) DOUBLE PRECISION Parameters of the rotation matrix. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlanv2} (let* ((zero 0.0) (half 0.5) (one 1.0) (multpl 4.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 0.5 0.5) half) @@ -51240,13 +51241,13 @@ end_label (return (values a b c d rt1r rt1i rt2r rt2i cs sn))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlapy2 LAPACK} %\pagehead{dlapy2}{dlapy2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlapy2.input} )set break resume )sys rm -f dlapy2.output )spool dlapy2.output @@ -51256,8 +51257,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlapy2.help} ==================================================================== dlapy2 examples ==================================================================== @@ -51284,9 +51285,9 @@ Y (input) DOUBLE PRECISION X and Y specify the values x and y. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlapy2} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -51305,13 +51306,13 @@ (setf dlapy2 (* w (f2cl-lib:fsqrt (+ one (expt (/ z w) 2))))))) (return (values dlapy2 nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlaqtr LAPACK} %\pagehead{dlaqtr}{dlaqtr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlaqtr.input} )set break resume )sys rm -f dlaqtr.output )spool dlaqtr.output @@ -51321,8 +51322,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlaqtr.help} ==================================================================== dlaqtr examples ==================================================================== @@ -51421,9 +51422,9 @@ nonsingularity. NOTE: In the interests of speed, this routine does not check the inputs for errors. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlaqtr} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -52559,13 +52560,13 @@ end_label (return (values nil nil nil nil nil nil nil scale nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlarfb LAPACK} %\pagehead{dlarfb}{dlarfb} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlarfb.input} )set break resume )sys rm -f dlarfb.output )spool dlarfb.output @@ -52575,8 +52576,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlarfb.help} ==================================================================== dlarfb examples ==================================================================== @@ -52665,9 +52666,9 @@ The leading dimension of the array WORK. If SIDE = 'L', LDWORK >= max(1,N); if SIDE = 'R', LDWORK >= max(1,M). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlarfb} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dlarfb (side trans direct storev m n k v ldv t$ ldt c ldc work ldwork) @@ -53264,13 +53265,13 @@ nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlarfg LAPACK} %\pagehead{dlarfg}{dlarfg} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlarfg.input} )set break resume )sys rm -f dlarfg.output )spool dlarfg.output @@ -53280,8 +53281,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlarfg.help} ==================================================================== dlarfg examples ==================================================================== @@ -53340,9 +53341,9 @@ TAU (output) DOUBLE PRECISION The value tau. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlarfg} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -53392,13 +53393,13 @@ end_label (return (values nil alpha nil nil tau)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlarf LAPACK} %\pagehead{dlarf}{dlarf} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlarf.input} )set break resume )sys rm -f dlarf.output )spool dlarf.output @@ -53408,8 +53409,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlarf.help} ==================================================================== dlarf examples ==================================================================== @@ -53476,9 +53477,9 @@ WORK (workspace) DOUBLE PRECISION array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R' -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlarf} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -53507,13 +53508,13 @@ (dger m n (- tau) work 1 v incv c ldc))))) (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlarft LAPACK} %\pagehead{dlarft}{dlarft} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlarft.input} )set break resume )sys rm -f dlarft.output )spool dlarft.output @@ -53523,8 +53524,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlarft.help} ==================================================================== dlarft examples ==================================================================== @@ -53627,9 +53628,9 @@ ( 1 v3 ) ( 1 ) -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlarft} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -53859,13 +53860,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlarfx LAPACK} %\pagehead{dlarfx}{dlarfx} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlarfx.input} )set break resume )sys rm -f dlarfx.output )spool dlarfx.output @@ -53875,8 +53876,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlarfx.help} ==================================================================== dlarfx examples ==================================================================== @@ -53941,9 +53942,9 @@ (N) if SIDE = 'L' or (M) if SIDE = 'R' WORK is not referenced if H has order < 11. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlarfx} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -55987,13 +55988,13 @@ end_label (return (values nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlartg LAPACK} %\pagehead{dlartg}{dlartg} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlartg.input} )set break resume )sys rm -f dlartg.output )spool dlartg.output @@ -56003,8 +56004,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlartg.help} ==================================================================== dlartg examples ==================================================================== @@ -56052,9 +56053,9 @@ R (output) DOUBLE PRECISION The nonzero component of the rotated vector. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlartg} (let* ((zero 0.0) (one 1.0) (two 2.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -56137,13 +56138,13 @@ end_label (return (values nil nil cs sn r)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlas2 LAPACK} %\pagehead{dlas2}{dlas2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlas2.input} )set break resume )sys rm -f dlas2.output )spool dlas2.output @@ -56153,8 +56154,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlas2.help} ==================================================================== dlas2 examples ==================================================================== @@ -56211,9 +56212,9 @@ correspond to a matrix modified by perturbations of size near the underflow threshold. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlas2} (let* ((zero 0.0) (one 1.0) (two 2.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -56269,13 +56270,13 @@ (setf ssmax (/ ga (+ c c))))))))) (return (values nil nil nil ssmin ssmax))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlascl LAPACK} %\pagehead{dlascl}{dlascl} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlascl.input} )set break resume )sys rm -f dlascl.output )spool dlascl.output @@ -56285,8 +56286,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlascl.help} ==================================================================== dlascl examples ==================================================================== @@ -56362,9 +56363,9 @@ 0 - successful exit <0 - if INFO = -i, the i-th argument had an illegal value. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlascl} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -56624,13 +56625,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd0 LAPACK} %\pagehead{dlasd0}{dlasd0} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd0.input} )set break resume )sys rm -f dlasd0.output )spool dlasd0.output @@ -56640,8 +56641,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd0.help} ==================================================================== dlasd0 examples ==================================================================== @@ -56721,9 +56722,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an singular value did not converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd0} (defun dlasd0 (n sqre d e u ldu vt ldvt smlsiz iwork work info) (declare (type (simple-array fixnum (*)) iwork) (type (simple-array double-float (*)) work vt u e d) @@ -56953,13 +56954,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil info))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd1 LAPACK} %\pagehead{dlasd1}{dlasd1} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd1.input} )set break resume )sys rm -f dlasd1.output )spool dlasd1.output @@ -56969,8 +56970,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd1.help} ==================================================================== dlasd1 examples ==================================================================== @@ -57096,9 +57097,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an singular value did not converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd1} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -57234,13 +57235,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd2 LAPACK} %\pagehead{dlasd2}{dlasd2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd2.input} )set break resume )sys rm -f dlasd2.output )spool dlasd2.output @@ -57250,8 +57251,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd2.help} ==================================================================== dlasd2 examples ==================================================================== @@ -57412,9 +57413,9 @@ = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd2} (let* ((zero 0.0) (one 1.0) (two 2.0) (eight 8.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -57893,13 +57894,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd3 LAPACK} %\pagehead{dlasd3}{dlasd3} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd3.input} )set break resume )sys rm -f dlasd3.output )spool dlasd3.output @@ -57909,8 +57910,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd3.help} ==================================================================== dlasd3 examples ==================================================================== @@ -58033,9 +58034,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an singular value did not converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd3} (let* ((one 1.0) (zero 0.0) (negone (- 1.0))) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero) @@ -58534,13 +58535,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd4 LAPACK} %\pagehead{dlasd4}{dlasd4} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd4.input} )set break resume )sys rm -f dlasd4.output )spool dlasd4.output @@ -58550,8 +58551,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd4.help} ==================================================================== dlasd4 examples ==================================================================== @@ -58635,9 +58636,9 @@ MAXIT is the maximum number of iterations allowed for each eigenvalue. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd4} (let* ((maxit 20) (zero 0.0) (one 1.0) @@ -60161,13 +60162,13 @@ end_label (return (values nil nil nil nil nil nil sigma nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd5 LAPACK} %\pagehead{dlasd5}{dlasd5} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd5.input} )set break resume )sys rm -f dlasd5.output )spool dlasd5.output @@ -60177,8 +60178,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd5.help} ==================================================================== dlasd5 examples ==================================================================== @@ -60234,9 +60235,9 @@ WORK (workspace) DOUBLE PRECISION array, dimension ( 2 ) WORK contains (D(j) + sigma_I) in its j-th component. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd5} (let* ((zero 0.0) (one 1.0) (two 2.0) (three 3.0) (four 4.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -60439,13 +60440,13 @@ tau)))) (return (values nil nil nil nil nil dsigma nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd6 LAPACK} %\pagehead{dlasd6}{dlasd6} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd6.input} )set break resume )sys rm -f dlasd6.output )spool dlasd6.output @@ -60455,8 +60456,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd6.help} ==================================================================== dlasd6 examples ==================================================================== @@ -60650,9 +60651,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an singular value did not converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd6} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -60809,13 +60810,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd7 LAPACK} %\pagehead{dlasd7}{dlasd7} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd7.input} )set break resume )sys rm -f dlasd7.output )spool dlasd7.output @@ -60825,8 +60826,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd7.help} ==================================================================== dlasd7 examples ==================================================================== @@ -60985,9 +60986,9 @@ = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd7} (let* ((zero 0.0) (one 1.0) (two 2.0) (eight 8.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -61356,13 +61357,13 @@ s info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasd8 LAPACK} %\pagehead{dlasd8}{dlasd8} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasd8.input} )set break resume )sys rm -f dlasd8.output )spool dlasd8.output @@ -61372,8 +61373,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasd8.help} ==================================================================== dlasd8 examples ==================================================================== @@ -61459,9 +61460,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an singular value did not converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasd8} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dlasd8 (icompq k d z vf vl difl difr lddifr dsigma work info) @@ -61801,13 +61802,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasda LAPACK} %\pagehead{dlasda}{dlasda} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasda.input} )set break resume )sys rm -f dlasda.output )spool dlasda.output @@ -61817,8 +61818,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasda.help} ==================================================================== dlasda examples ==================================================================== @@ -61973,9 +61974,9 @@ < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an singular value did not converge -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasda} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -62495,13 +62496,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasdq LAPACK} %\pagehead{dlasdq}{dlasdq} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasdq.input} )set break resume )sys rm -f dlasdq.output )spool dlasdq.output @@ -62511,8 +62512,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasdq.help} ==================================================================== dlasdq examples ==================================================================== @@ -62638,9 +62639,9 @@ not converge, and INFO specifies how many superdiagonals did not converge. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasdq} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dlasdq (uplo sqre n ncvt nru ncc d e vt ldvt u ldu c ldc work info) @@ -62915,13 +62916,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasdt LAPACK} %\pagehead{dlasdt}{dlasdt} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasdt.input} )set break resume )sys rm -f dlasdt.output )spool dlasdt.output @@ -62931,8 +62932,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasdt.help} ==================================================================== dlasdt examples ==================================================================== @@ -62979,9 +62980,9 @@ On entry, the maximum row dimension each subproblem at the bot- tom of the tree can be of. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasdt} (let* ((two 2.0)) (declare (type (double-float 2.0 2.0) two)) (defun dlasdt (n lvl nd inode ndiml ndimr msub) @@ -63087,13 +63088,13 @@ end_label (return (values nil lvl nd nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlaset LAPACK} %\pagehead{dlaset}{dlaset} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlaset.input} )set break resume )sys rm -f dlaset.output )spool dlaset.output @@ -63103,8 +63104,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlaset.help} ==================================================================== dlaset examples ==================================================================== @@ -63165,9 +63166,9 @@ LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,M). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlaset} (defun dlaset (uplo m n alpha beta a lda) (declare (type (simple-array double-float (*)) a) (type (double-float) beta alpha) @@ -63232,13 +63233,13 @@ (setf (f2cl-lib:fref a-%data% (i i) ((1 lda) (1 *)) a-%offset%) beta))) (return (values nil nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasq1 LAPACK} %\pagehead{dlasq1}{dlasq1} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasq1.input} )set break resume )sys rm -f dlasq1.output )spool dlasq1.output @@ -63248,8 +63249,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasq1.help} ==================================================================== dlasq1 examples ==================================================================== @@ -63308,9 +63309,9 @@ outer while loop not met (program created more than N unreduced blocks) -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasq1} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dlasq1 (n d e work info) @@ -63423,13 +63424,13 @@ end_label (return (values nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasq2 LAPACK} %\pagehead{dlasq2}{dlasq2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasq2.input} )set break resume )sys rm -f dlasq2.output )spool dlasq2.output @@ -63439,8 +63440,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasq2.help} ==================================================================== dlasq2 examples ==================================================================== @@ -63505,9 +63506,9 @@ The shifts are accumulated in SIGMA. Iteration count is in ITER. Ping- pong is controlled by PP (alternates between 0 and 1). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasq2} (let* ((cbias 1.5) (zero 0.0) (half 0.5) @@ -64377,13 +64378,13 @@ end_label (return (values nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasq3 LAPACK} %\pagehead{dlasq3}{dlasq3} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasq3.input} )set break resume )sys rm -f dlasq3.output )spool dlasq3.output @@ -64393,8 +64394,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasq3.help} ==================================================================== dlasq3 examples ==================================================================== @@ -64464,9 +64465,9 @@ IEEE (input) LOGICAL Flag for IEEE or non IEEE arithmetic (passed to DLASQ5). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasq3} (let* ((cbias 1.5) (zero 0.0) (qurtr 0.25) @@ -65067,13 +65068,13 @@ ndiv nil))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasq4 LAPACK} %\pagehead{dlasq4}{dlasq4} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasq4.input} )set break resume )sys rm -f dlasq4.output )spool dlasq4.output @@ -65083,8 +65084,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasq4.help} ==================================================================== dlasq4 examples ==================================================================== @@ -65150,9 +65151,9 @@ TTYPE (output) INTEGER Shift type. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasq4} (let* ((cnst1 0.563) (cnst2 1.01) (cnst3 1.05) @@ -65671,13 +65672,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil tau ttype))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasq5 LAPACK} %\pagehead{dlasq5}{dlasq5} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasq5.input} )set break resume )sys rm -f dlasq5.output )spool dlasq5.output @@ -65687,8 +65688,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasq5.help} ==================================================================== dlasq5 examples ==================================================================== @@ -65756,9 +65757,9 @@ IEEE (input) LOGICAL Flag for IEEE or non IEEE arithmetic. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasq5} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dlasq5 (i0 n0 z pp tau dmin f2cl-lib:dmin1 dmin2 dn dnm1 dnm2 ieee) @@ -66165,13 +66166,13 @@ dnm2 nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasq6 LAPACK} %\pagehead{dlasq6}{dlasq6} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasq6.input} )set break resume )sys rm -f dlasq6.output )spool dlasq6.output @@ -66181,8 +66182,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasq6.help} ==================================================================== dlasq6 examples ==================================================================== @@ -66241,9 +66242,9 @@ DNM2 (output) DOUBLE PRECISION d(N0-2). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasq6} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dlasq6 (i0 n0 z pp dmin f2cl-lib:dmin1 dmin2 dn dnm1 dnm2) @@ -66620,13 +66621,13 @@ (return (values nil nil nil nil dmin f2cl-lib:dmin1 dmin2 dn dnm1 dnm2)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasr LAPACK} %\pagehead{dlasr}{dlasr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasr.input} )set break resume )sys rm -f dlasr.output )spool dlasr.output @@ -66636,8 +66637,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasr.help} ==================================================================== dlasr examples ==================================================================== @@ -66774,9 +66775,9 @@ LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,M). -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasr} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -67331,13 +67332,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasrt LAPACK} %\pagehead{dlasrt}{dlasrt} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasrt.input} )set break resume )sys rm -f dlasrt.output )spool dlasrt.output @@ -67347,8 +67348,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasrt.help} ==================================================================== dlasrt examples ==================================================================== @@ -67395,9 +67396,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasrt} (let* ((select 20)) (declare (type (fixnum 20 20) select)) (defun dlasrt (id n d info) @@ -67615,13 +67616,13 @@ end_label (return (values nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlassq LAPACK} %\pagehead{dlassq}{dlassq} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlassq.input} )set break resume )sys rm -f dlassq.output )spool dlassq.output @@ -67631,8 +67632,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlassq.help} ==================================================================== dlassq examples ==================================================================== @@ -67690,9 +67691,9 @@ SUMSQ is overwritten with smsq , the basic sum of squares from which scl has been factored out. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlassq} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dlassq (n x incx scale sumsq) @@ -67727,13 +67728,13 @@ (setf sumsq (+ sumsq (expt (/ absxi scale) 2))))))))))) (return (values nil nil nil scale sumsq)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasv2 LAPACK} %\pagehead{dlasv2}{dlasv2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasv2.input} )set break resume )sys rm -f dlasv2.output )spool dlasv2.output @@ -67743,8 +67744,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasv2.help} ==================================================================== dlasv2 examples ==================================================================== @@ -67818,9 +67819,9 @@ correspond to a matrix modified by perturbations of size near the underflow threshold. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasv2} (let* ((zero 0.0) (half 0.5) (one 1.0) (two 2.0) (four 4.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 0.5 0.5) half) @@ -67949,13 +67950,13 @@ (f2cl-lib:sign one h)))) (return (values nil nil nil ssmin ssmax snr csr snl csl))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlaswp LAPACK} %\pagehead{dlaswp}{dlaswp} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlaswp.input} )set break resume )sys rm -f dlaswp.output )spool dlaswp.output @@ -67965,8 +67966,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlaswp.help} ==================================================================== dlaswp examples ==================================================================== @@ -68020,9 +68021,9 @@ The increment between successive values of IPIV. If IPIV is negative, the pivots are applied in reverse order. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlaswp} (defun dlaswp (n a lda k1 k2 ipiv incx) (declare (type (simple-array fixnum (*)) ipiv) (type (simple-array double-float (*)) a) @@ -68124,13 +68125,13 @@ end_label (return (values nil nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dlasy2 LAPACK} %\pagehead{dlasy2}{dlasy2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dlasy2.input} )set break resume )sys rm -f dlasy2.output )spool dlasy2.output @@ -68140,8 +68141,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dlasy2.help} ==================================================================== dlasy2 examples ==================================================================== @@ -68233,9 +68234,9 @@ turbed to get a nonsingular equation. NOTE: In the interests of speed, this routine does not check the inputs for errors. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dlasy2} (let* ((zero 0.0) (one 1.0) (two 2.0) (half 0.5) (eight 8.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -68922,13 +68923,13 @@ xnorm info))))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorg2r LAPACK} %\pagehead{dorg2r}{dorg2r} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorg2r.input} )set break resume )sys rm -f dorg2r.output )spool dorg2r.output @@ -68938,8 +68939,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorg2r.help} ==================================================================== dorg2r examples ==================================================================== @@ -68998,9 +68999,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorg2r} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -69075,13 +69076,13 @@ end_label (return (values nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorgbr LAPACK} %\pagehead{dorgbr}{dorgbr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorgbr.input} )set break resume )sys rm -f dorgbr.output )spool dorgbr.output @@ -69091,8 +69092,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorgbr.help} ==================================================================== dorgbr examples ==================================================================== @@ -69187,9 +69188,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorgbr} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -69376,13 +69377,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorghr LAPACK} %\pagehead{dorghr}{dorghr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorghr.input} )set break resume )sys rm -f dorghr.output )spool dorghr.output @@ -69392,8 +69393,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorghr.help} ==================================================================== dorghr examples ==================================================================== @@ -69461,9 +69462,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorghr} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -69579,13 +69580,13 @@ end_label (return (values nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorgl2 LAPACK} %\pagehead{dorgl2}{dorgl2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorgl2.input} )set break resume )sys rm -f dorgl2.output )spool dorgl2.output @@ -69595,8 +69596,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorgl2.help} ==================================================================== dorgl2 examples ==================================================================== @@ -69655,9 +69656,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorgl2} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -69745,13 +69746,13 @@ end_label (return (values nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorglq LAPACK} %\pagehead{dorglq}{dorglq} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorglq.input} )set break resume )sys rm -f dorglq.output )spool dorglq.output @@ -69761,8 +69762,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorglq.help} ==================================================================== dorglq examples ==================================================================== @@ -69833,9 +69834,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorglq} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dorglq (m n k a lda tau work lwork info) @@ -69995,13 +69996,13 @@ end_label (return (values nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorgqr LAPACK} %\pagehead{dorgqr}{dorgqr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorgqr.input} )set break resume )sys rm -f dorgqr.output )spool dorgqr.output @@ -70011,8 +70012,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorgqr.help} ==================================================================== dorgqr examples ==================================================================== @@ -70083,9 +70084,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorgqr} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dorgqr (m n k a lda tau work lwork info) @@ -70244,13 +70245,13 @@ end_label (return (values nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorm2r LAPACK} %\pagehead{dorm2r}{dorm2r} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorm2r.input} )set break resume )sys rm -f dorm2r.output )spool dorm2r.output @@ -70260,8 +70261,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorm2r.help} ==================================================================== dorm2r examples ==================================================================== @@ -70347,9 +70348,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorm2r} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dorm2r (side trans m n k a lda tau c ldc work info) @@ -70438,13 +70439,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dormbr LAPACK} %\pagehead{dormbr}{dormbr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dormbr.input} )set break resume )sys rm -f dormbr.output )spool dormbr.output @@ -70454,8 +70455,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dormbr.help} ==================================================================== dormbr examples ==================================================================== @@ -70572,9 +70573,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dormbr} (defun dormbr (vect side trans m n k a lda tau c ldc work lwork info) (declare (type (simple-array double-float (*)) work c tau a) (type fixnum info lwork ldc lda k n m) @@ -70755,13 +70756,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil nil info))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dorml2 LAPACK} %\pagehead{dorml2}{dorml2} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dorml2.input} )set break resume )sys rm -f dorml2.output )spool dorml2.output @@ -70771,8 +70772,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dorml2.help} ==================================================================== dorml2 examples ==================================================================== @@ -70858,9 +70859,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dorml2} (let* ((one 1.0)) (declare (type (double-float 1.0 1.0) one)) (defun dorml2 (side trans m n k a lda tau c ldc work info) @@ -70949,13 +70950,13 @@ end_label (return (values nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dormlq LAPACK} %\pagehead{dormlq}{dormlq} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dormlq.input} )set break resume )sys rm -f dormlq.output )spool dormlq.output @@ -70965,8 +70966,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dormlq.help} ==================================================================== dormlq examples ==================================================================== @@ -71063,9 +71064,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dormlq} (let* ((nbmax 64) (ldt (+ nbmax 1))) (declare (type (fixnum 64 64) nbmax) (type fixnum ldt)) @@ -71227,13 +71228,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dormqr LAPACK} %\pagehead{dormqr}{dormqr} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dormqr.input} )set break resume )sys rm -f dormqr.output )spool dormqr.output @@ -71243,8 +71244,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dormqr.help} ==================================================================== dormqr examples ==================================================================== @@ -71341,9 +71342,9 @@ = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dormqr} (let* ((nbmax 64) (ldt (+ nbmax 1))) (declare (type (fixnum 64 64) nbmax) (type fixnum ldt)) @@ -71497,13 +71498,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrevc LAPACK} %\pagehead{dtrevc}{dtrevc} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrevc.input} )set break resume )sys rm -f dtrevc.output )spool dtrevc.output @@ -71513,8 +71514,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrevc.help} ==================================================================== dtrevc examples ==================================================================== @@ -71652,9 +71653,9 @@ has magnitude 1; here the magnitude of a complex number (x,y) is taken to be |x| + |y|. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dtrevc} (let* ((zero 0.0) (one 1.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one)) @@ -73600,13 +73601,13 @@ (return (values nil nil nil nil nil nil nil nil nil nil nil m nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrexc LAPACK} %\pagehead{dtrexc}{dtrexc} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrexc.input} )set break resume )sys rm -f dtrexc.output )spool dtrexc.output @@ -73616,8 +73617,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrexc.help} ==================================================================== dtrexc examples ==================================================================== @@ -73699,9 +73700,9 @@ and ILST points to the first row of the current position of the block being moved. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dtrexc} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun dtrexc (compq n t$ ldt q ldq ifst ilst work info) @@ -74029,13 +74030,13 @@ end_label (return (values nil nil nil nil nil nil ifst ilst nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{dtrsna LAPACK} %\pagehead{dtrsna}{dtrsna} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{dtrsna.input} )set break resume )sys rm -f dtrsna.output )spool dtrsna.output @@ -74045,8 +74046,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{dtrsna.help} ==================================================================== dtrsna examples ==================================================================== @@ -74219,9 +74220,9 @@ EPS * norm(T) / SEP(i) -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK dtrsna} (let* ((zero 0.0) (one 1.0) (two 2.0)) (declare (type (double-float 0.0 0.0) zero) (type (double-float 1.0 1.0) one) @@ -74829,13 +74830,13 @@ nil info)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ieeeck LAPACK} %\pagehead{ieeeck}{ieeeck} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ieeeck.input} )set break resume )sys rm -f ieeeck.output )spool ieeeck.output @@ -74845,8 +74846,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ieeeck.help} ==================================================================== ieeeck examples ==================================================================== @@ -74894,9 +74895,9 @@ Return if we were only asked to check infinity arithmetic -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK ieeeck} (defun ieeeck (ispec zero one) (declare (type (single-float) one zero) (type fixnum ispec)) (prog ((nan1 0.0f0) (nan2 0.0f0) (nan3 0.0f0) (nan4 0.0f0) (nan5 0.0f0) @@ -74980,13 +74981,13 @@ end_label (return (values ieeeck nil nil nil)))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{ilaenv LAPACK} %\pagehead{ilaenv}{ilaenv} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{ilaenv.input} )set break resume )sys rm -f ilaenv.output )spool ilaenv.output @@ -74996,8 +74997,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{ilaenv.help} ==================================================================== ilaenv examples ==================================================================== @@ -75098,9 +75099,9 @@ IF( NB.LE.1 ) NB = MAX( 1, N ) -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK ilaenv} (defun ilaenv (ispec name opts n1 n2 n3 n4) (declare (type character opts name) (type fixnum n4 n3 n2 n1 ispec)) @@ -75545,13 +75546,13 @@ end_label (return (values ilaenv nil nil nil nil nil nil nil))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zlange LAPACK} %\pagehead{zlange}{zlange} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zlange.input} )set break resume )sys rm -f zlange.output )spool zlange.output @@ -75561,8 +75562,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zlange.help} ==================================================================== zlange examples ==================================================================== @@ -75634,9 +75635,9 @@ where LWORK >= M when NORM = 'I'; otherwise, WORK is not refer- enced. -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK zlange} (let* ((one 1.0) (zero 0.0)) (declare (type (double-float 1.0 1.0) one) (type (double-float 0.0 0.0) zero)) @@ -75740,13 +75741,13 @@ (setf zlange value) (return (values zlange nil nil nil nil nil nil)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{zlassq LAPACK} %\pagehead{zlassq}{zlassq} %\pagepic{ps/v104algebraicfunction.ps}{AF}{1.00} -<>= +\begin{chunk}{zlassq.input} )set break resume )sys rm -f zlassq.output )spool zlassq.output @@ -75756,8 +75757,8 @@ )spool )lisp (bye) -@ -<>= +\end{chunk} +\begin{chunk}{zlassq.help} ==================================================================== zlassq examples ==================================================================== @@ -75818,9 +75819,9 @@ On entry, the value sumsq in the equation above. On exit, SUMSQ is overwritten with the value ssq . -@ +\end{chunk} -<>= +\begin{chunk}{LAPACK zlassq} (let* ((zero 0.0)) (declare (type (double-float 0.0 0.0) zero)) (defun zlassq (n x incx scale sumsq) @@ -75868,191 +75869,191 @@ (setf sumsq (+ sumsq (expt (/ temp1 scale) 2))))))))))) (return (values nil nil nil scale sumsq)))))) -@ +\end{chunk} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chunk collections} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -<>= +\begin{chunk}{Numerics} (in-package "BOOT") -<> -<> -<> -<> -@ -<>= -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> - -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> -<> +\getchunk{BLAS dcabs1} +\getchunk{BLAS 1 dasum} +\getchunk{BLAS 1 daxpy} +\getchunk{BLAS 1 dcopy} +\end{chunk} +\begin{chunk}{untested} +\getchunk{BLAS lsame} +\getchunk{BLAS xerbla} + +\getchunk{BLAS 1 ddot} +\getchunk{BLAS 1 dnrm2} +\getchunk{BLAS 1 drotg} +\getchunk{BLAS 1 drot} +\getchunk{BLAS 1 dscal} +\getchunk{BLAS 1 dswap} +\getchunk{BLAS 1 dzasum} +\getchunk{BLAS 1 dznrm2} +\getchunk{BLAS 1 icamax} +\getchunk{BLAS 1 idamax} +\getchunk{BLAS 1 isamax} +\getchunk{BLAS 1 izamax} +\getchunk{BLAS 1 zaxpy} +\getchunk{BLAS 1 zcopy} +\getchunk{BLAS 1 zdotc} +\getchunk{BLAS 1 zdotu} +\getchunk{BLAS 1 zdscal} +\getchunk{BLAS 1 zrotg} +\getchunk{BLAS 1 zscal} +\getchunk{BLAS 1 zswap} + +\getchunk{BLAS 2 dgbmv} +\getchunk{BLAS 2 dgemv} +\getchunk{BLAS 2 dger} +\getchunk{BLAS 2 dsbmv} +\getchunk{BLAS 2 dspmv} +\getchunk{BLAS 2 dspr2} +\getchunk{BLAS 2 dspr} +\getchunk{BLAS 2 dsymv} +\getchunk{BLAS 2 dsyr2} +\getchunk{BLAS 2 dsyr} +\getchunk{BLAS 2 dtbmv} +\getchunk{BLAS 2 dtbsv} +\getchunk{BLAS 2 dtpmv} +\getchunk{BLAS 2 dtpsv} +\getchunk{BLAS 2 dtrmv} +\getchunk{BLAS 2 dtrsv} +\getchunk{BLAS 2 zgbmv} +\getchunk{BLAS 2 zgemv} +\getchunk{BLAS 2 zgerc} +\getchunk{BLAS 2 zgeru} +\getchunk{BLAS 2 zhbmv} +\getchunk{BLAS 2 zhemv} +\getchunk{BLAS 2 zher2} +\getchunk{BLAS 2 zher} +\getchunk{BLAS 2 zhpmv} +\getchunk{BLAS 2 zhpr2} +\getchunk{BLAS 2 zhpr} +\getchunk{BLAS 2 ztbmv} +\getchunk{BLAS 2 ztbsv} +\getchunk{BLAS 2 ztpmv} +\getchunk{BLAS 2 ztpsv} +\getchunk{BLAS 2 ztrmv} +\getchunk{BLAS 2 ztrsv} + +\getchunk{BLAS 3 dgemm} +\getchunk{BLAS 3 dsymm} +\getchunk{BLAS 3 dsyr2k} +\getchunk{BLAS 3 dsyrk} +\getchunk{BLAS 3 dtrmm} +\getchunk{BLAS 3 dtrsm} +\getchunk{BLAS 3 zgemm} +\getchunk{BLAS 3 zhemm} +\getchunk{BLAS 3 zher2k} +\getchunk{BLAS 3 zherk} +\getchunk{BLAS 3 zsymm} +\getchunk{BLAS 3 zsyr2k} +\getchunk{BLAS 3 zsyrk} +\getchunk{BLAS 3 ztrmm} +\getchunk{BLAS 3 ztrsm} + +\getchunk{LAPACK dbdsdc} +\getchunk{LAPACK dbdsqr} +\getchunk{LAPACK ddisna} +\getchunk{LAPACK dgebak} +\getchunk{LAPACK dgebal} +\getchunk{LAPACK dgebd2} +\getchunk{LAPACK dgebrd} +\getchunk{LAPACK dgeev} +\getchunk{LAPACK dgeevx} +\getchunk{LAPACK dgehd2} +\getchunk{LAPACK dgehrd} +\getchunk{LAPACK dgelq2} +\getchunk{LAPACK dgelqf} +\getchunk{LAPACK dgeqr2} +\getchunk{LAPACK dgeqrf} +\getchunk{LAPACK dgesdd} +\getchunk{LAPACK dgesvd} +\getchunk{LAPACK dgesv} +\getchunk{LAPACK dgetf2} +\getchunk{LAPACK dgetrf} +\getchunk{LAPACK dgetrs} +\getchunk{LAPACK dhseqr} +\getchunk{LAPACK dlabad} +\getchunk{LAPACK dlabrd} +\getchunk{LAPACK dlacon} +\getchunk{LAPACK dlacpy} +\getchunk{LAPACK dladiv} +\getchunk{LAPACK dlaed6} +\getchunk{LAPACK dlaexc} +\getchunk{LAPACK dlahqr} +\getchunk{LAPACK dlahrd} +\getchunk{LAPACK dlaln2} +\getchunk{LAPACK dlamch} +\getchunk{LAPACK dlamc1} +\getchunk{LAPACK dlamc2} +\getchunk{LAPACK dlamc3} +\getchunk{LAPACK dlamc4} +\getchunk{LAPACK dlamc5} +\getchunk{LAPACK dlamrg} +\getchunk{LAPACK dlange} +\getchunk{LAPACK dlanhs} +\getchunk{LAPACK dlanst} +\getchunk{LAPACK dlanv2} +\getchunk{LAPACK dlapy2} +\getchunk{LAPACK dlaqtr} +\getchunk{LAPACK dlarfb} +\getchunk{LAPACK dlarfg} +\getchunk{LAPACK dlarf} +\getchunk{LAPACK dlarft} +\getchunk{LAPACK dlarfx} +\getchunk{LAPACK dlartg} +\getchunk{LAPACK dlas2} +\getchunk{LAPACK dlascl} +\getchunk{LAPACK dlasd0} +\getchunk{LAPACK dlasd1} +\getchunk{LAPACK dlasd2} +\getchunk{LAPACK dlasd3} +\getchunk{LAPACK dlasd4} +\getchunk{LAPACK dlasd5} +\getchunk{LAPACK dlasd6} +\getchunk{LAPACK dlasd7} +\getchunk{LAPACK dlasd8} +\getchunk{LAPACK dlasda} +\getchunk{LAPACK dlasdq} +\getchunk{LAPACK dlasdt} +\getchunk{LAPACK dlaset} +\getchunk{LAPACK dlasq1} +\getchunk{LAPACK dlasq2} +\getchunk{LAPACK dlasq3} +\getchunk{LAPACK dlasq4} +\getchunk{LAPACK dlasq5} +\getchunk{LAPACK dlasq6} +\getchunk{LAPACK dlasr} +\getchunk{LAPACK dlasrt} +\getchunk{LAPACK dlassq} +\getchunk{LAPACK dlasv2} +\getchunk{LAPACK dlaswp} +\getchunk{LAPACK dlasy2} +\getchunk{LAPACK dorg2r} +\getchunk{LAPACK dorgbr} +\getchunk{LAPACK dorghr} +\getchunk{LAPACK dorgl2} +\getchunk{LAPACK dorglq} +\getchunk{LAPACK dorgqr} +\getchunk{LAPACK dorm2r} +\getchunk{LAPACK dormbr} +\getchunk{LAPACK dorml2} +\getchunk{LAPACK dormlq} +\getchunk{LAPACK dormqr} +\getchunk{LAPACK dtrevc} +\getchunk{LAPACK dtrexc} +\getchunk{LAPACK dtrsna} +\getchunk{LAPACK ieeeck} +\getchunk{LAPACK ilaenv} +\getchunk{LAPACK zlange} +\getchunk{LAPACK zlassq} -@ +\end{chunk} \begin{thebibliography}{99} \bibitem{1} documentation source \verb|ftp://ftp.netlib.org/lapack/manpages.tgz| diff -Nru axiom-20110301a/books/bookvol10.pamphlet axiom-20111101/books/bookvol10.pamphlet --- axiom-20110301a/books/bookvol10.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol10.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{amssymb} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % special meanings for math characters diff -Nru axiom-20110301a/books/bookvol11.pamphlet axiom-20111101/books/bookvol11.pamphlet --- axiom-20110301a/books/bookvol11.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol11.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} diff -Nru axiom-20110301a/books/bookvol12.pamphlet axiom-20111101/books/bookvol12.pamphlet --- axiom-20110301a/books/bookvol12.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol12.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior diff -Nru axiom-20110301a/books/bookvol1.pamphlet axiom-20111101/books/bookvol1.pamphlet --- axiom-20110301a/books/bookvol1.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/books/bookvol1.pamphlet 2011-12-01 04:03:11.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior @@ -422,7 +423,7 @@ $$ \left[ \begin{array}{cc} -{x+i} & 0 \\ +{x+\%{\rm i}} & 0 \\ 1 & -2 \end{array} \right] @@ -445,8 +446,8 @@ $$ \left[ \begin{array}{cc} -{1 \over {x+i}} & 0 \\ -{1 \over {{2 \ x}+{2 \ i}}} & -{1 \over 2} +\displaystyle{\frac{1}{x+\%{\rm i}}} & 0 \\ +\displaystyle{\frac{1}{{2 \ x}+{2 \%{\rm i}}}} & -{\frac{1}{2}} \end{array} \right] $$ @@ -455,7 +456,8 @@ \subsection{HyperDoc} \begin{figure}[htbp] -\includegraphics[bbllx=1, bblly=1, bburx=298, bbury=290]{ps/bookvol1a.ps} +%\includegraphics[bbllx=1, bblly=1, bburx=298, bbury=290]{ps/bookvol1a.ps} +\includegraphics[scale=0.75]{ps/bookvol1a.eps} \caption{Hyperdoc opening menu} \label{fig-intro-br} \end{figure} @@ -2190,9 +2192,9 @@ entered just like other expressions. \index{complex numbers} -\spadcommand{(2/3 + \%i)**3} +\spadcommand{(2/3 + \%{\rm i})**3} $$ --{{46} \over {27}}+{{1 \over 3} \ i} +-{{46} \over {27}}+{{1 \over 3} \%{\rm i}} $$ \returnType{Type: Complex Fraction Integer} @@ -2201,45 +2203,51 @@ number can be obtained using {\bf conjugate}: \index{real, complex numbers} -\spadcommand{real(3 + 2*\%i)} +\spadcommand{real(3 + 2*\%{\rm i})} $$ 3 $$ \returnType{Type: PositiveInteger} \index{imag, complex numbers} -\spadcommand{imag(3+ 2*\%i)} +\spadcommand{imag(3+ 2*\%{\rm i})} $$ 2 $$ \returnType{Type: PositiveInteger} \index{conjugate, complex numbers} -\spadcommand{conjugate(3 + 2*\%i)} +\spadcommand{conjugate(3 + 2*\%{\rm i})} $$ -3 -{2 \ i} +3 -{2\%{\rm i}} $$ \returnType{Type: Complex Integer} The function {\bf factor} can also be applied to complex numbers but the results aren't quite so obvious as for factoring integer: -\spadcommand{144 + 24*\%i} +\spadcommand{144 + 24*\%{\rm i}} $$ -{144}+{{24} \ i} +{144}+{{24}\%{\rm i}} $$ \returnType{Type: Complex Integer} \index{factor, complex numbers} \spadcommand{factor(\%)} $$ -i \ {{\left( 1+i -\right)} -\sp 6} \ 3 \ {\left( 6+i -\right)} +\displaystyle \%{\rm i} (1 + \%{\rm i})^6\ \ 3(6 + \%{\rm i}) $$ \returnType{Type: Factored Complex Integer} +We can see that this multiplies out to the original value by expanding +the factored expression: + +\spadcommand{expand \%} +$$ +{144}+{{24} \%{\rm i}} +$$ +\returnType{Type: Complex Integer} + \subsection{Number Representations} By default all numerical results are displayed in decimal with real numbers shown to 20 significant figures. If the integer part of a number is longer @@ -2274,13 +2282,13 @@ \index{outputFloating} \spadcommand{outputFloating(); \%} $$ -0.3141592653 5897932384 6264338327 9502884197 E 1 +0.3141592653 5897932384 6264338327 9502884197 {\rm\ E\ } 1 $$ \returnType{Type: Float} \spadcommand{outputFloating(3); 0.00345} $$ -0.345 E -2 +0.345 {\rm\ E\ } -2 $$ \returnType{Type: Float} @@ -3465,7 +3473,7 @@ $$ \returnType{Type: OneDimensionalArray PositiveInteger} -One-dimensional array are homogenous (all elements must have the same type) +One-dimensional arrays are homogenous (all elements must have the same type) and mutable (elements can be changed) like lists but unlike lists they are constant in size and have uniform access times (it is just as quick to read the last element of a one-dimensional array as it is to read the first; this @@ -3737,7 +3745,7 @@ \subsection{Reading Code from a File} Input files contain code that will be fed to the command prompt. The -primary different between the command line and an input file is that +primary difference between the command line and an input file is that indentation matters. In an input file you can specify ``piles'' of code by using indentation. diff -Nru axiom-20110301a/books/bookvol2.pamphlet axiom-20111101/books/bookvol2.pamphlet --- axiom-20110301a/books/bookvol2.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol2.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior diff -Nru axiom-20110301a/books/bookvol3.pamphlet axiom-20111101/books/bookvol3.pamphlet --- axiom-20110301a/books/bookvol3.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol3.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior diff -Nru axiom-20110301a/books/bookvol4.pamphlet axiom-20111101/books/bookvol4.pamphlet --- axiom-20110301a/books/bookvol4.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol4.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior @@ -3158,9 +3159,9 @@ The \$ symbol refers to the domain. At runtime this amounts to a lookup of the ``infovec''. The compile-time infovec shown here: \begin{verbatim} -(MAKEPROP +(setf (get (QUOTE |Character|) - (QUOTE |infovec|) + (QUOTE |infovec|)) (LIST (QUOTE #(NIL @@ -4582,7 +4583,7 @@ (RETURN (PROGN (LETT |dv$| (QUOTE (|Any|)) . #0=(|Any|)) - (LETT $ (GETREFV 35) . #0#) + (LETT $ (make-array 35) . #0#) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#)) (|haddProp| |$ConstructorCache| (QUOTE |Any|) NIL (CONS 1 $)) @@ -4592,7 +4593,7 @@ (QSETREFV $ 10 (SPADCALL (QUOTE NIL) (QREFELT $ 9))) $)))) -(MAKEPROP (QUOTE |Any|) (QUOTE |infovec|) +(setf (get (QUOTE |Any|) (QUOTE |infovec|)) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (QUOTE |Rep|) @@ -4623,7 +4624,7 @@ 2 0 7 0 0 18)))))) (QUOTE |lookupComplete|))) -(MAKEPROP (QUOTE |Any|) (QUOTE NILADIC) T) +(setf (get (QUOTE |Any|) (QUOTE NILADIC)) T) \end{verbatim} We can ignore this information and focus on the functions that are defined in this file. These functions can be traced with the usual diff -Nru axiom-20110301a/books/bookvol5.pamphlet axiom-20111101/books/bookvol5.pamphlet --- axiom-20110301a/books/bookvol5.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol5.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -1,8 +1,8 @@ \documentclass[dvipdfm]{book} -\setlength{\textwidth}{400pt} \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} @@ -107,10 +107,10 @@ "William Burge" "Quentin Carpent Robert Caviness Bruce Char" "Ondrej Certik Cheekai Chin David V. Chudnovsky" -"Gregory V. Chudnovsky Josh Cohen Christophe Conil" -"Don Coppersmith George Corliss Robert Corless" -"Gary Cornell Meino Cramer Claire Di Crescenzo" -"David Cyganski" +"Gregory V. Chudnovsky James Cloos Josh Cohen" +"Christophe Conil Don Coppersmith George Corliss" +"Robert Corless Gary Cornell Meino Cramer" +"Claire Di Crescenzo David Cyganski" "Nathaniel Daly Timothy Daly Sr. Timothy Daly Jr." "James H. Davenport Didier Deshommes Michael Dewar" "Jean Della Dora Gabriel Dos Reis Claire DiCrescendo" @@ -135,9 +135,9 @@ "Gernot Hueber" "Pietro Iglio" "Alejandro Jakubi Richard Jenks" -"Kai Kaminski Grant Keady Tony Kennedy" -"Ted Kosan Paul Kosinski Klaus Kusche" -"Bernhard Kutzler" +"Kai Kaminski Grant Keady Wilfrid Kendall" +"Tony Kennedy Ted Kosan Paul Kosinski" +"Klaus Kusche Bernhard Kutzler" "Tim Lahey Larry Lambe Kaj Laurson" "Franz Lehner Frederic Lehobey Michel Levaud" "Howard Levy Liu Xiaojun Rudiger Loos" @@ -167,9 +167,9 @@ "Nick Simicich William Sit Elena Smirnova" "Jonathan Steinbach Fabio Stumbo Christine Sundaresan" "Robert Sutor Moss E. Sweedler Eugene Surowitz" -"Max Tegmark James Thatcher Balbir Thomas" -"Mike Thomas Dylan Thurston Steve Toleque" -"Barry Trager Themos T. Tsikas" +"Max Tegmark T. Doug Telford James Thatcher" +"Balbir Thomas Mike Thomas Dylan Thurston" +"Steve Toleque Barry Trager Themos T. Tsikas" "Gregory Vanuxem" "Bernhard Wall Stephen Watt Jaap Weel" "Juergen Weiss M. Weller Mark Wegman" @@ -640,6 +640,7 @@ (if (<= n 0) "" (make-string n :initial-element (character (or (ifcar charPart) " "))))) + \end{chunk} \defunsec{spad}{Starts the interpreter but do not read in profiles} @@ -859,6 +860,20 @@ (defvar |$promptMsg| 'S2CTP023) \end{chunk} + +\defun{cmpnote}{GCL cmpnote function} +GCL keeps noting the fact that the compiler is performing tail-recursion. +Bill Schelter added this as a debugging tool for Axiom and it was never +removed. Patching the lisp code in the GCL build fails as the system +is actually built from the pre-compiled C code. Thus, we can only step +on this message after the fact. The cmpnote function is used nowhere +else in GCL so stepping on the function call seems best. We're unhappy +with this hack and will try to convince the GCL crowd to fix this. +\begin{chunk}{defun cmpnote} +#+:gcl (defun compiler::cmpnote (&rest x)) + +\end{chunk} + \defdollar{newcompErrorCount} \begin{chunk}{initvars} (defvar |$newcompErrorCount| 0) @@ -1641,7 +1656,6 @@ \end{chunk} \defun{parseAndInterpret}{parseAndInterpret} -\calls{parseAndInterpret}{ncParseAndInterpretString} \usesdollar{parseAndInterpret}{InteractiveMode} \usesdollar{parseAndInterpret}{boot} \usesdollar{parseAndInterpret}{spad} @@ -1656,17 +1670,7 @@ (setq $boot nil) (setq $spad t) (setq |$e| |$InteractiveFrame|) - (|ncParseAndInterpretString| str))) - -\end{chunk} - -\defun{ncParseAndInterpretString}{ncParseAndInterpretString} -\calls{ncParseAndInterpretString}{processInteractive} -\calls{ncParseAndInterpretString}{packageTran} -\calls{ncParseAndInterpretString}{parseFromString} -\begin{chunk}{defun ncParseAndInterpretString} -(defun |ncParseAndInterpretString| (s) - (|processInteractive| (|packageTran| (|parseFromString| s)) nil)) + (|processInteractive| (|parseFromString| str) nil))) \end{chunk} @@ -1710,7 +1714,6 @@ and then calls processInteractive1 to do most of the work. This function receives the output from the parser. \calls{processInteractive}{initializeTimedNames} -\calls{processInteractive}{pairp} \calls{processInteractive}{qcar} \calls{processInteractive}{processInteractive1} \calls{processInteractive}{reportInstantiations} @@ -1770,7 +1773,7 @@ |$ProcessInteractiveValue| |$defaultFortVar| |$interpreterTimedNames| |$interpreterTimedClasses|)) (|initializeTimedNames| |$interpreterTimedNames| |$interpreterTimedClasses|) - (if (pairp form) ; compute name of operator + (if (consp form) ; compute name of operator (setq |$op| (qcar form)) (setq |$op| form)) (setq |$Coerce| nil) @@ -1882,7 +1885,6 @@ \end{chunk} \defun{interpret}{Type analyzes and evaluates expression x, returns object} -\calls{interpret}{pairp} \calls{interpret}{interpret1} \usesdollar{interpret}{env} \usesdollar{interpret}{eval} @@ -1892,7 +1894,7 @@ (dsetq (x . restargs) arg) (let (|$env| |$eval| |$genValue| posnForm) (declare (special |$env| |$eval| |$genValue|)) - (if (pairp restargs) + (if (consp restargs) (setq posnForm (car restargs)) (setq posnForm restargs)) (setq |$env| (list (list nil))) @@ -1946,7 +1948,6 @@ coerceInteractive, so it only does the JENKS cases ALBI \calls{interpret2}{objVal} \calls{interpret2}{objMode} -\calls{interpret2}{pairp} \calls{interpret2}{member} \calls{interpret2}{objNew} \calls{interpret2}{systemErrorHere} @@ -1967,7 +1968,7 @@ (cond ((equal m |$EmptyMode|) (cond - ((and (pairp x) + ((and (consp x) (progn (setq op (qcar x)) t) (|member| op '(map stream))) (|objNew| x m1)) @@ -2097,8 +2098,8 @@ \end{chunk} \defun{printTypeAndTimeNormal}{printTypeAndTimeNormal} +\calls{printTypeAndTimeNormal}{retract} \calls{printTypeAndTimeNormal}{qcar} -\calls{printTypeAndTimeNormal}{pairp} \calls{printTypeAndTimeNormal}{retract} \calls{printTypeAndTimeNormal}{objNewWrap} \calls{printTypeAndTimeNormal}{objMode} @@ -2121,7 +2122,7 @@ |$printTimeIfTrue| |$outputLines| |$interpreterTimedNames| |$interpreterTimedClasses|)) (cond - ((and (pairp m) (eq (qcar m) '|Union|)) + ((and (consp m) (eq (qcar m) '|Union|)) (setq xp (|retract| (|objNewWrap| x m))) (setq mp (|objMode| xp)) (setq m @@ -2205,14 +2206,14 @@ (defun |sameUnionBranch| (uArg m) (let (t1 t2 t3) (cond - ((and (pairp uArg) + ((and (consp uArg) (eq (qcar uArg) '|:|) (progn (setq t1 (qcdr uArg)) - (and (pairp t1) + (and (consp t1) (progn (setq t2 (qcdr t1)) - (and (pairp t2) + (and (consp t2) (eq (qcdr t2) nil) (progn (setq t3 (qcar t2)) t)))))) (equal t3 m)) @@ -2397,8 +2398,6 @@ \begin{verbatim} phParse: carrier[tokens,...] -> carrier[ptree, tokens,...] \end{verbatim} -\calls{phParse}{intSayKeyedMsg} -\calls{phParse}{pform} \calls{phParse}{ncPutQ} \begin{chunk}{defun phParse} (defun |phParse| (carrier ptree) @@ -2407,32 +2406,6 @@ \end{chunk} -\defun{intSayKeyedMsg}{intSayKeyedMsg} -\calls{intSayKeyedMsg}{sayKeyedMsg} -\calls{intSayKeyedMsg}{packageTran} -\begin{chunk}{defun intSayKeyedMsg} -(defun |intSayKeyedMsg| (key args) - (|sayKeyedMsg| (|packageTran| key) (|packageTran| args))) - -\end{chunk} - -\defun{packageTran}{packageTran} -\calls{packageTran}{packageTran} -\begin{chunk}{defun packageTran 0} -(defun |packageTran| (sex) - (cond - ((symbolp sex) - (cond - ((eq *package* (symbol-package sex)) sex) - (t (intern (string sex))))) - ((consp sex) - (rplaca sex (|packageTran| (car sex))) - (rplacd sex (|packageTran| (cdr sex))) - sex) - (t sex))) - -\end{chunk} - \defun{phIntReportMsgs}{phIntReportMsgs} \begin{verbatim} carrier[lines,messages,..]-> carrier[lines,messages,..] @@ -2440,7 +2413,6 @@ \calls{phIntReportMsgs}{ncEltQ} \calls{phIntReportMsgs}{ncPutQ} \calls{phIntReportMsgs}{processMsgList} -\calls{phIntReportMsgs}{intSayKeyedMsg} \usesdollar{phIntReportMsgs}{erMsgToss} \begin{chunk}{defun phIntReportMsgs} (defun |phIntReportMsgs| (carrier interactive?) @@ -2458,7 +2430,7 @@ ((eql nerr 0) 'ok) (t (|processMsgList| msgs lines) - (|intSayKeyedMsg| 'S2CTP010 (list nerr)) + (|sayKeyedMsg| 'S2CTP010 (list nerr)) 'ok)))))) \end{chunk} @@ -2479,11 +2451,10 @@ \defun{intInterpretPform}{intInterpretPform} \calls{intInterpretPform}{processInteractive} \calls{intInterpretPform}{zeroOneTran} -\calls{intInterpretPform}{packageTran} \calls{intInterpretPform}{pf2Sex} \begin{chunk}{defun intInterpretPform} (defun |intInterpretPform| (pf) - (|processInteractive| (|zeroOneTran| (|packageTran| (|pf2Sex| pf))) pf)) + (|processInteractive| (|zeroOneTran| (|pf2Sex| pf)) pf)) \end{chunk} @@ -8227,7 +8198,6 @@ \calls{phMacro}{ncEltQ} \calls{phMacro}{ncPutQ} \calls{phMacro}{macroExpanded} -\calls{phMacro}{intSayKeyedMsg} \calls{phMacro}{pform} \begin{chunk}{defun phMacro} (defun |phMacro| (carrier) @@ -8659,7 +8629,8 @@ (setq ex (assoc (|pfIdSymbol| pform) replist :test #'eq)) (cond (ex - (rplpair pform (cdr ex)) + (rplaca pform (cadr ex)) + (rplacd pform (cddr ex)) pform) (t pform)))) @@ -13246,7 +13217,6 @@ (setq erMsg (|processKeyedError| (|msgCreate| '|bug| |$nopos| erMsgKey erArgL "Bug!" optAttr))) - (enable-backtrace nil) (break) (|ncAbort|))) @@ -15961,7 +15931,7 @@ (list '| Value of | (|fixObjectForPrinting| (pname |$op|)) ": (none)")) (progn (setq expr (|objValUnwrap| u)) - (if (or (and (pairp expr) (progn (setq op (qcar expr)) t) (eq op 'map)) + (if (or (and (consp expr) (progn (setq op (qcar expr)) t) (eq op 'map)) (equal (|objMode| u) |$EmptyMode|)) (|displayRule| |$op| expr) (progn @@ -16030,7 +16000,6 @@ \calls{displayProperties}{getInterpMacroNames} \calls{displayProperties}{getParserMacroNames} \calls{displayProperties}{remdup} -\calls{displayProperties}{pairp} \calls{displayProperties}{qcdr} \calls{displayProperties}{qcar} \calls{displayProperties}{msort} @@ -16077,7 +16046,7 @@ (setq pmacs (|getParserMacroNames|)) (setq macros (remdup (append imacs pmacs))) (when (or - (and (pairp vl) (eq (qcdr vl) nil) (eq (qcar vl) '|all|)) + (and (consp vl) (eq (qcdr vl) nil) (eq (qcar vl) '|all|)) (null vl)) (setq vl (msort (append (|getWorkspaceNames|) macros)))) (when |$frameMessages| @@ -16111,10 +16080,10 @@ (cond ((eq v '|--flags--|) nil) - ((and (pairp pl) + ((and (consp pl) (progn (setq tmp2 (qcar pl)) - (and (pairp tmp2) (eq (qcar tmp2) '|cacheInfo|)))) + (and (consp tmp2) (eq (qcar tmp2) '|cacheInfo|)))) nil) (t (setq vone (|fixObjectForPrinting| v)) @@ -16777,7 +16746,6 @@ \calls{selectOption}{identp} \calls{selectOption}{stringPrefix?} \calls{selectOption}{pname} -\calls{selectOption}{pairp} \calls{selectOption}{qcdr} \calls{selectOption}{qcar} \begin{chunk}{defun selectOption} @@ -16797,7 +16765,7 @@ (if (|stringPrefix?| (pname x) (pname y)) (setq t0 (cons y t0)))))) (cond - ((and (pairp u) (eq (qcdr u) nil) (progn (setq y (qcar u)) t)) y) + ((and (consp u) (eq (qcdr u) nil) (progn (setq y (qcar u)) t)) y) (errorfunction (funcall errorfunction x u)) (t nil)))))) @@ -16900,7 +16868,6 @@ \calls{abbreviationsSpad2Cmd}{opOf} \calls{abbreviationsSpad2Cmd}{helpSpad2Cmd} \calls{abbreviationsSpad2Cmd}{selectOptionLC} -\calls{abbreviationsSpad2Cmd}{pairp} \calls{abbreviationsSpad2Cmd}{qcar} \calls{abbreviationsSpad2Cmd}{qcdr} \usesdollar{abbreviationsSpad2Cmd}{options} @@ -16921,7 +16888,7 @@ (setq opt (|selectOptionLC| opt '(|quiet|) '|optionError|)) (when (eq opt '|quiet|) (setq quiet t))) (when - (and (pairp arg) + (and (consp arg) (progn (setq opt (qcar arg)) (setq al (qcdr arg)) @@ -17486,6 +17453,28 @@ \end{chunk} +\defun{compiledLookupCheck}{compiledLookupCheck} +\calls{compiledLookupCheck}{compiledLookup} +\calls{compiledLookupCheck}{keyedSystemError} +\calls{compiledLookupCheck}{formatSignature} +\begin{chunk}{defun compiledLookupCheck} +(defun |compiledLookupCheck| (op sig dollar) + (let (fn) + (setq fn (|compiledLookup| op sig dollar)) + (cond + ((and (null fn) (eq op '^)) + (setq fn (|compiledLookup| '** sig dollar))) + ((and (null fn) (eq op '**)) + (setq fn (|compiledLookup| '^ sig dollar))) + (t nil)) + (cond + ((null fn) + (|keyedSystemError| 'S2NR0001 + (list op (|formatSignature| sig) (elt dollar 0)))) + (t fn)))) + +\end{chunk} + \defdollar{functionTable} \begin{chunk}{initvars} (defvar |$functionTable| nil) @@ -17613,7 +17602,6 @@ \calls{clearCmdParts}{assoc} \calls{clearCmdParts}{isMap} \calls{clearCmdParts}{get} -\calls{clearCmdParts}{pairp} \calls{clearCmdParts}{exit} \calls{clearCmdParts}{untraceMapSubNames} \calls{clearCmdParts}{seq} @@ -17676,7 +17664,7 @@ ((setq lm (|get| x '|localModemap| |$InteractiveFrame|)) (cond - ((pairp lm) + ((consp lm) (exit (|untraceMapSubNames| (cons (cadar lm) nil)))))) (t nil))))) (dolist (p2 (cdr p1)) @@ -18333,7 +18321,7 @@ (flatten (car (getdatabase (fullname cdp) 'documentation))))))) (let ((|$e| |$EmptyEnvironment|) (opt (second l))) (declare (special |$e| |$EmptyEnvironment| $describeOptions)) - (if (and (pairp l) (not (eq opt '?))) + (if (and (consp l) (not (eq opt '?))) (describeInternal (first l) (second l)) (|sayMessage| (append @@ -18559,7 +18547,6 @@ \calls{displaySpad2Cmd}{displayMacros} \calls{displaySpad2Cmd}{displayWorkspaceNames} \calls{displaySpad2Cmd}{displayProperties} -\calls{displaySpad2Cmd}{PAIRP} \calls{displaySpad2Cmd}{selectOptionLC} \calls{displaySpad2Cmd}{sayMessage} \usesdollar{displaySpad2Cmd}{e} @@ -18569,7 +18556,7 @@ (defun displaySpad2Cmd (l) (let ((|$e| |$EmptyEnvironment|) (opt (car l)) (vl (cdr l)) option) (declare (special |$e| |$EmptyEnvironment| |$displayOptions|)) - (if (and (pairp l) (not (eq opt '?))) + (if (and (consp l) (not (eq opt '?))) (progn (setq option (|selectOptionLC| opt |$displayOptions| '|optionError|)) (cond @@ -19419,9 +19406,6 @@ in the list then this will destructively move the current frame to the end of the list, that is, assume the frame list reads (1 2 3) this function will destructively change it to (2 3 1). -Note: the nconc2 function destructively inserts the second list at the -end of the first. -\calls{nextInterpreterFrame}{nconc2} \calls{nextInterpreterFrame}{updateFromCurrentInterpreterFrame} \usesdollar{nextInterpreterFrame}{interpreterFrameRing} \begin{chunk}{defun nextInterpreterFrame} @@ -19430,8 +19414,7 @@ (declare (special |$interpreterFrameRing|)) (when (cdr |$interpreterFrameRing|) (setq |$interpreterFrameRing| - (nconc2 (cdr |$interpreterFrameRing|) - (list (car |$interpreterFrameRing|)))) + (nconc (cdr |$interpreterFrameRing|) (list (car |$interpreterFrameRing|)))) (|updateFromCurrentInterpreterFrame|))) \end{chunk} @@ -19457,7 +19440,6 @@ \defunsec{previousInterpreterFrame} {Move to the previous Interpreter Frame in Ring} \calls{previousInterpreterFrame}{updateCurrentInterpreterFrame} -\calls{previousInterpreterFrame}{nconc2} \calls{previousInterpreterFrame}{updateFromCurrentInterpreterFrame} \usesdollar{previousInterpreterFrame}{interpreterFrameRing} \begin{chunk}{defun previousInterpreterFrame} @@ -19470,7 +19452,7 @@ (setq tmp1 (reverse |$interpreterFrameRing|)) (setq l (car tmp1)) (setq b (nreverse (cdr tmp1))) - (setq |$interpreterFrameRing| (nconc2 (cons l nil) b)) + (setq |$interpreterFrameRing| (nconc (cons l nil) b)) (|updateFromCurrentInterpreterFrame|)))) \end{chunk} @@ -19670,7 +19652,6 @@ \calls{frameSpad2Cmd}{throwKeyedMsg} \calls{frameSpad2Cmd}{helpSpad2Cmd} \calls{frameSpad2Cmd}{selectOptionLC} -\calls{frameSpad2Cmd}{pairp} \calls{frameSpad2Cmd}{qcdr} \calls{frameSpad2Cmd}{qcar} \calls{frameSpad2Cmd}{object2Identifier} @@ -19701,14 +19682,14 @@ (t (setq arg (|selectOptionLC| (car args) frameArgs '|optionError|)) (setq args (cdr args)) - (when (and (pairp args) + (when (and (consp args) (eq (qcdr args) nil) (progn (setq a (qcar args)) t)) (setq args a)) (when (atom args) (setq args (|object2Identifier| args))) (case arg (|drop| - (if (and args (pairp args)) + (if (and args (consp args)) (|throwKeyedMsg| 'S2IZ0017 ; not a valid frame name (cons args nil)) (|closeInterpreterFrame| args))) @@ -19716,7 +19697,7 @@ (|last| (|previousInterpreterFrame|)) (|names| (|displayFrameNames|)) (|new| - (if (and args (pairp args)) + (if (and args (consp args)) (|throwKeyedMsg| 'S2IZ0017 ; not a valid frame name (cons args nil)) (|addNewInterpreterFrame| args))) @@ -20881,7 +20862,6 @@ \end{chunk} \defun{restoreHistory}{restoreHistory} -\calls{restoreHistory}{pairp} \calls{restoreHistory}{qcdr} \calls{restoreHistory}{qcar} \calls{restoreHistory}{identp} @@ -20916,7 +20896,7 @@ |$useInternalHistoryTable| |$InteractiveFrame| |$oldHistoryFileName|)) (cond ((null fn) (setq fnq |$oldHistoryFileName|)) - ((and (pairp fn) + ((and (consp fn) (eq (qcdr fn) nil) (progn (setq fnq (qcar fn)) @@ -21244,13 +21224,12 @@ \end{chunk} \defun{unwritable?}{unwritable?} -\calls{unwritable?}{pairp} \calls{unwritable?}{vecp} \calls{unwritable?}{placep} \begin{chunk}{defun unwritable?} (defun |unwritable?| (ob) (cond - ((or (pairp ob) (vecp ob)) nil) + ((or (consp ob) (vecp ob)) nil) ((or (compiled-function-p ob) (hash-table-p ob)) t) ((or (placep ob) (readtablep ob)) t) ((floatp ob) t) @@ -21285,7 +21264,6 @@ \calls{writify,writifyInner}{seq} \calls{writify,writifyInner}{exit} \calls{writify,writifyInner}{hget} -\calls{writify,writifyInner}{pairp} \calls{writify,writifyInner}{qcar} \calls{writify,writifyInner}{qcdr} \calls{writify,writifyInner}{spadClosure?} @@ -21316,7 +21294,7 @@ (seq (when (null ob) (exit nil)) (when (setq e (hget |$seen| ob)) (exit e)) - (when (pairp ob) + (when (consp ob) (exit (seq (setq qcar (qcar ob)) @@ -21334,18 +21312,18 @@ (exit nob)))) (when (and - (and (pairp ob) + (and (consp ob) (eq (qcar ob) 'lambda-closure) (progn (setq tmp1 (qcdr ob)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq tmp2 (qcdr tmp1)) (and - (pairp tmp2) + (consp tmp2) (progn (setq tmp3 (qcdr tmp2)) - (and (pairp tmp3) + (and (consp tmp3) (progn (setq x (qcar tmp3)) t)))))))) x) @@ -21477,12 +21455,6 @@ name))))) \end{chunk} -\defun{dewritify,is?}{dewritify,is?} -\begin{chunk}{defun dewritify,is?} -(defun |dewritify,is?| (a) - (eq a 'writified!!)) - -\end{chunk} \defdollar{NonNullStream} \begin{chunk}{initvars} @@ -21500,7 +21472,6 @@ \calls{dewritify,dewritifyInner}{seq} \calls{dewritify,dewritifyInner}{exit} \calls{dewritify,dewritifyInner}{hget} -\calls{dewritify,dewritifyInner}{pairp} \calls{dewritify,dewritifyInner}{intp} \calls{dewritify,dewritifyInner}{gensymmer} \calls{dewritify,dewritifyInner}{error} @@ -21533,7 +21504,7 @@ (exit nil)) (when (setq e (hget |$seen| ob)) (exit e)) - (when (and (pairp ob) (eq (car ob) 'writified!!)) + (when (and (consp ob) (eq (car ob) 'writified!!)) (exit (seq (setq type (elt ob 1)) @@ -21625,7 +21596,7 @@ (exit (spaddifference fval))) (exit fval)))) (exit (|error| "Unknown type to de-writify."))))) - (when (pairp ob) + (when (consp ob) (exit (seq (setq qcar (qcar ob)) @@ -21663,7 +21634,7 @@ (defun |dewritify| (ob) (let (|$seen|) (declare (special |$seen|)) - (if (null (|ScanOrPairVec| (|function| |dewritify,is?|) ob)) + (if (null (|ScanOrPairVec| #'(lambda (a) (eq a 'writified!!)) ob)) ob (progn (setq |$seen| (make-hash-table :test #'eq)) @@ -21674,7 +21645,6 @@ \defun{ScanOrPairVec,ScanOrInner}{ScanOrPairVec,ScanOrInner} \throws{ScanOrPairVec,ScanOrInner}{ScanOrPairVecAnswer} \calls{ScanOrPairVec,ScanOrInner}{hget} -\calls{ScanOrPairVec,ScanOrInner}{pairp} \calls{ScanOrPairVec,ScanOrInner}{hput} \calls{ScanOrPairVec,ScanOrInner}{ScanOrPairVec,ScanOrInner} \calls{ScanOrPairVec,ScanOrInner}{qcar} @@ -21685,7 +21655,7 @@ (defun |ScanOrPairVec,ScanOrInner| (f ob) (declare (special |$seen|)) (when (hget |$seen| ob) nil) - (when (pairp ob) + (when (consp ob) (hput |$seen| ob t) (|ScanOrPairVec,ScanOrInner| f (qcar ob)) (|ScanOrPairVec,ScanOrInner| f (qcdr ob))) @@ -22717,7 +22687,6 @@ \calls{displaySetVariableSettings}{say} \calls{displaySetVariableSettings}{fillerSpaces} \calls{displaySetVariableSettings}{specialChar} -\calls{displaySetVariableSettings}{pairp} \calls{displaySetVariableSettings}{concat} \calls{displaySetVariableSettings}{satisfiesUserLevel} \calls{displaySetVariableSettings}{spaddifference} @@ -22761,7 +22730,7 @@ (funcall (fifth setdata) '|%display%|) "unimplemented")) (cond - ((pairp opt) + ((consp opt) (setq opt (do ((t2 opt (cdr t2)) t1 (o nil)) ((or (atom t2) (progn (setq o (car t2)) nil)) t1) @@ -23103,7 +23072,6 @@ \defunsec{setInputLibrary}{The set input library command handler} The input-libraries is now maintained as a list of truenames. \calls{setInputLibrary}{describeInputLibraryArgs} -\calls{setInputLibrary}{pairp} \calls{setInputLibrary}{qcar} \calls{setInputLibrary}{qcdr} \calls{setInputLibrary}{selectOptionLC} @@ -23121,11 +23089,11 @@ ((eq arg '|%display%|) (mapcar #'namestring input-libraries)) ((or (null arg) (eq arg '|%describe%|) (eq (car arg) '?)) (|describeInputLibraryArgs|)) - ((and (pairp arg) + ((and (consp arg) (progn (setq act (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq filename (qcar tmp1)) t))) (setq act (|selectOptionLC| act '(|add| |drop|) nil))) @@ -23257,6 +23225,7 @@ (|AttachPredicates| . PMPRED) (|AxiomServer| . AXSERV) (|BalancedBinaryTree| . BBTREE) + (|BasicStochasticDifferential| . BSD) (|BasicOperator| . BOP) (|BasicOperatorFunctions1| . BOP1) (|Bezier| . BEZIER) @@ -23606,6 +23575,7 @@ (|StreamFunctions2| . STREAM2) (|StreamFunctions3| . STREAM3) (|StreamTensor| . STNSR) + (|StochasticDifferential| . SD) (|String| . STRING) (|SturmHabichtPackage| . SHP) (|Symbol| . SYMBOL) @@ -24544,7 +24514,6 @@ \calls{setExpose}{sayKeyedMsg} \calls{setExpose}{namestring} \calls{setExpose}{pathname} -\calls{setExpose}{pairp} \calls{setExpose}{qcar} \calls{setExpose}{qcdr} \calls{setExpose}{selectOptionLC} @@ -24565,7 +24534,7 @@ (|sayMSG| " ") (|displayHiddenConstructors|) (|sayMSG| " ")) - ((and (pairp arg) + ((and (consp arg) (progn (setq fn (qcar arg)) (setq fnargs (qcdr arg)) t) (setq fn (|selectOptionLC| fn '(|add| |drop|) nil))) (cond @@ -24583,7 +24552,6 @@ \calls{setExposeAdd}{sayMSG} \calls{setExposeAdd}{displayExposedConstructors} \calls{setExposeAdd}{sayKeyedMsg} -\calls{setExposeAdd}{pairp} \calls{setExposeAdd}{qcar} \calls{setExposeAdd}{qcdr} \calls{setExposeAdd}{selectOptionLC} @@ -24605,7 +24573,7 @@ (|displayExposedConstructors|) (|sayMSG| " ") (|sayKeyedMsg| 's2iz0049e nil)) - ((and (pairp arg) + ((and (consp arg) (progn (setq fn (qcar arg)) (setq fnargs (qcdr arg)) t) (setq fn (|selectOptionLC| fn '(|group| |constructor|) nil))) (cond @@ -24620,7 +24588,6 @@ Note that \verb|$localExposureData| is a vector of lists. It consists of [exposed groups,exposed constructors,hidden constructors] \calls{setExposeAddGroup}{object2String} -\calls{setExposeAddGroup}{pairp} \calls{setExposeAddGroup}{qcar} \calls{setExposeAddGroup}{setelt} \calls{setExposeAddGroup}{displayExposedGroups} @@ -24656,7 +24623,7 @@ (mapcar #'(lambda (x) (|object2String| (first x))) |$globalExposureGroupAlist|))) (dolist (x arg) - (when (pairp x) (setq x (qcar x))) + (when (consp x) (setq x (qcar x))) (cond ((eq x '|all|) (setelt |$localExposureData| 0 @@ -24683,7 +24650,6 @@ \defunsec{setExposeAddConstr}{The top level set expose add constructor handler} \calls{setExposeAddConstr}{unabbrev} -\calls{setExposeAddConstr}{pairp} \calls{setExposeAddConstr}{qcar} \calls{setExposeAddConstr}{getdatabase} \calls{setExposeAddConstr}{sayKeyedMsg} @@ -24709,7 +24675,7 @@ (|displayExposedConstructors|)) (dolist (x arg) (setq x (|unabbrev| x)) - (when (pairp x) (setq x (qcar x))) + (when (consp x) (setq x (qcar x))) (cond ((null (getdatabase x 'constructorkind)) (|sayKeyedMsg| 's2iz0049j (list x))) @@ -24732,7 +24698,6 @@ \calls{setExposeDrop}{displayHiddenConstructors} \calls{setExposeDrop}{sayMSG} \calls{setExposeDrop}{sayKeyedMsg} -\calls{setExposeDrop}{pairp} \calls{setExposeDrop}{qcar} \calls{setExposeDrop}{qcdr} \calls{setExposeDrop}{selectOptionLC} @@ -24752,7 +24717,7 @@ (|displayHiddenConstructors|) (|sayMSG| " ") (|sayKeyedMsg| 's2iz0049f nil)) - ((and (pairp arg) + ((and (consp arg) (progn (setq fn (qcar arg)) (setq fnargs (qcdr arg)) t) (setq fn (|selectOptionLC| fn '(|group| |constructor|) nil))) (cond @@ -24764,7 +24729,6 @@ \end{chunk} \defunsec{setExposeDropGroup}{The top level set expose drop group handler} -\calls{setExposeDropGroup}{pairp} \calls{setExposeDropGroup}{qcar} \calls{setExposeDropGroup}{setelt} \calls{setExposeDropGroup}{displayExposedGroups} @@ -24795,7 +24759,7 @@ (|sayMSG| " ") (|displayExposedGroups|)) (dolist (x arg) - (when (pairp x) (setq x (qcar x))) + (when (consp x) (setq x (qcar x))) (cond ((eq x '|all|) (setelt |$localExposureData| 0 nil) @@ -24820,7 +24784,6 @@ \defunsec{setExposeDropConstr} {The top level set expose drop constructor handler} \calls{setExposeDropConstr}{unabbrev} -\calls{setExposeDropConstr}{pairp} \calls{setExposeDropConstr}{qcar} \calls{setExposeDropConstr}{getdatabase} \calls{setExposeDropConstr}{sayKeyedMsg} @@ -24852,7 +24815,7 @@ (|displayHiddenConstructors|)) (dolist (x arg) (setq x (|unabbrev| x)) - (when (pairp x) (setq x (qcar x))) + (when (consp x) (setq x (qcar x))) (cond ((null (getdatabase x 'constructorkind)) (|sayKeyedMsg| 's2iz0049j (list x))) @@ -25025,7 +24988,6 @@ \end{chunk} \defunsec{countCache}{Display a particular cache count} -\calls{countCache}{pairp} \calls{countCache}{qcdr} \calls{countCache}{qcar} \calls{countCache}{identp} @@ -25045,11 +25007,11 @@ (cond (|$options| (cond - ((and (pairp |$options|) + ((and (consp |$options|) (eq (qcdr |$options|) nil) (progn (setq tmp1 (qcar |$options|)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcar tmp1) '|vars|) (progn (setq l (qcdr tmp1)) t)))) (dolist (x l) @@ -25066,6 +25028,26 @@ \end{chunk} +\defun{insertAlist}{insertAlist} +\calls{insertAlist}{rplac} +\calls{insertAlist}{?order} +\begin{chunk}{defun insertAlist} +(defun |insertAlist| (a b z) + (labels ( + (fn (a b z) + (cond + ((null (cdr z)) (rplac (cdr z) (list (cons a b)))) + ((equal a (elt (elt z 1) 0)) (rplac (cdr (elt z 1)) b)) + ((?order (elt (elt z 1) 0) a) (rplac (cdr z) (cons (cons a b) (cdr z)))) + (t (fn a b (cdr z)))))) + (cond + ((null z) (list (cons a b))) + ((equal a (elt (elt z 0) 0)) (rplac (cdar z) b) z) + ((?order (elt (elt z 0) 0) a) (cons (cons a b) z)) + (t (fn a b z) z)))) + +\end{chunk} + \defunsec{describeSetFunctionsCache}{Describe the set functions cache} \calls{describeSetFunctionsCache}{sayBrightly} \begin{chunk}{defun describeSetFunctionsCache} @@ -25838,148 +25820,6 @@ \end{chunk} -\section{kernel} -\begin{verbatim} - Current Values of kernel Variables - -Variable Description Current Value ------------------------------------------------------------------ -warn warn when re-definition is attempted off -protect prevent re-definition of kernel functions off - -\end{verbatim} -\begin{chunk}{kernel} - (|kernel| - "library functions built into the kernel for efficiency" - |interpreter| - TREE - |novar| - ( -\getchunk{kernelwarn} -\getchunk{kernelprotect} - ) - ) - -\end{chunk} -\subsection{kernelwarn} -\begin{verbatim} ------------------------ The warn Option ----------------------- - - Description: warn when re-definition is attempted - -Some AXIOM library functions are compiled into the kernel for -efficiency reasons. To prevent them being re-defined when loaded -from a library they are specially protected. If a user wishes to -know when an attempt is made to re-define such a function, he or -she should issue the command: - )set kernel warn on -To restore the default behaviour, he or she should issue the -command: - )set kernel warn off -\end{verbatim} -\begin{chunk}{kernelwarn} - (|warn| - "warn when re-definition is attempted" - |interpreter| - FUNCTION - |protectedSymbolsWarning| - NIL - |htSetKernelWarn|) -\end{chunk} -\defun{protectedSymbolsWarning}{protectedSymbolsWarning} -\calls{protectedSymbolsWarning}{protected-symbol-warn} -\calls{protectedSymbolsWarning}{describeProtectedSymbolsWarning} -\calls{protectedSymbolsWarning}{translateYesNo2TrueFalse} -\begin{chunk}{defun protectedSymbolsWarning} -(defun |protectedSymbolsWarning| (arg) - (let (v) - (cond - ((eq arg '|%initialize%|) (protected-symbol-warn nil)) - ((eq arg '|%display%|) - (setq v (protected-symbol-warn t)) - (protected-symbol-warn v) - (if v "on" "off")) - ((or (null arg) (eq arg '|%describe%|) (eq (car arg) '?)) - (|describeProtectedSymbolsWarning|)) - (t (protected-symbol-warn (|translateYesNo2TrueFalse| (car arg))))))) - -\end{chunk} - -\defun{describeProtectedSymbolsWarning}{describeProtectedSymbolsWarning} -\calls{describeProtectedSymbolsWarning}{sayBrightly} -\begin{chunk}{defun describeProtectedSymbolsWarning} -(defun |describeProtectedSymbolsWarning| () - (|sayBrightly| (list - "Some AXIOM library functions are compiled into the kernel for efficiency" - '|%l| "reasons. To prevent them being re-defined when loaded from a library" - '|%l| - "they are specially protected. If a user wishes to know when an attempt" - '|%l| - "is made to re-define such a function, he or she should issue the command:" - '|%l| " )set kernel warn on" - '|%l| "To restore the default behaviour, he or she should issue the command:" - '|%l| " )set kernel warn off"))) - -\end{chunk} -\subsection{kernelprotect} -\begin{verbatim} ---------------------- The protect Option ---------------------- - - Description: prevent re-definition of kernel functions - -Some AXIOM library functions are compiled into the kernel for -efficiency reasons. To prevent them being re-defined when loaded -from a library they are specially protected. If a user wishes -to re-define these functions, he or she should issue the command: - )set kernel protect off -To restore the default behaviour, he or she should issue the -command: - )set kernel protect on -\end{verbatim} -\begin{chunk}{kernelprotect} - (|protect| - "prevent re-definition of kernel functions" - |interpreter| - FUNCTION - |protectSymbols| - NIL - |htSetKernelProtect|) -\end{chunk} - -\defun{protectSymbols}{protectSymbols} -\calls{protectSymbols}{protect-symbols} -\calls{protectSymbols}{describeProtectSymbols} -\calls{protectSymbols}{translateYesNo2TrueFalse} -\begin{chunk}{defun protectSymbols} -(defun |protectSymbols| (arg) - (let (v) - (cond - ((eq arg '|%initialize%|) (protect-symbols t)) - ((eq arg '|%display%|) - (setq v (protect-symbols t)) - (protect-symbols v) - (if v "on" "off")) - ((or (null arg) (eq arg '|%describe%|) (eq (car arg) '?)) - (|describeProtectSymbols|)) - (t (protect-symbols (|translateYesNo2TrueFalse| (car arg))))))) - -\end{chunk} -\defun{describeProtectSymbols}{describeProtectSymbols} -\calls{describeProtectSymbols}{sayBrightly} -\begin{chunk}{defun describeProtectSymbols} -(defun |describeProtectSymbols| () - (|sayBrightly| (list - "Some AXIOM library functions are compiled into the kernel for efficiency" - '|%l| - "reasons. To prevent them being re-defined when loaded from a library" - '|%l| "they are specially protected. If a user wishes to re-define these" - '|%l| "functions, he or she should issue the command:" - '|%l| " )set kernel protect off" - '|%l| - "To restore the default behaviour, he or she should issue the command:" - '|%l| " )set kernel protect on"))) - -\end{chunk} \section{hyperdoc} \begin{verbatim} Current Values of hyperdoc Variables @@ -27257,7 +27097,6 @@ \calls{setOutputAlgebra}{defiostream} \calls{setOutputAlgebra}{concat} \calls{setOutputAlgebra}{describeSetOutputAlgebra} -\calls{setOutputAlgebra}{pairp} \calls{setOutputAlgebra}{qcdr} \calls{setOutputAlgebra}{qcar} \calls{setOutputAlgebra}{member} @@ -27294,7 +27133,7 @@ (|describeSetOutputAlgebra|)) (t (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(y n ye yes no o on of off console @@ -27302,7 +27141,7 @@ '|ok|) (t (setq arg (list fn '|spout|)))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond @@ -27316,20 +27155,20 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$algebraOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) @@ -27440,7 +27279,6 @@ \calls{setOutputCharacters}{pname} \calls{setOutputCharacters}{specialChar} \calls{setOutputCharacters}{sayAsManyPerLineAsPossible} -\calls{setOutputCharacters}{pairp} \calls{setOutputCharacters}{qcdr} \calls{setOutputCharacters}{qcar} \calls{setOutputCharacters}{downcase} @@ -27488,7 +27326,7 @@ (pname (|specialChar| char)))) (setq l (cons s l))) (|sayAsManyPerLineAsPossible| (reverse l))) - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) NIL) (progn (setq fn (qcar arg)) t) (setq fn (downcase fn))) @@ -27573,7 +27411,6 @@ \calls{setOutputFortran}{concat} \calls{setOutputFortran}{describeSetOutputFortran} \calls{setOutputFortran}{upcase} -\calls{setOutputFortran}{pairp} \calls{setOutputFortran}{qcdr} \calls{setOutputFortran}{qcar} \calls{setOutputFortran}{member} @@ -27618,7 +27455,7 @@ (t nil)) (setq arg (cdr arg))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(Y N YE YES NO O ON OF OFF CONSOLE @@ -27626,7 +27463,7 @@ '|ok|) (t (setq arg (list fn '|sfort|)))) (cond - ((and (pairp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond ((|member| (upcase fn) '(y n ye o of)) (|sayKeyedMsg| 's2iv0002 '(fortran |fortran|))) @@ -27638,22 +27475,22 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$fortranOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) t))))))) (when (setq ptype (|pathnameType| fn)) @@ -27850,7 +27687,6 @@ \calls{setOutputMathml}{defiostream} \calls{setOutputMathml}{concat} \calls{setOutputMathml}{describeSetOutputMathml} -\calls{setOutputMathml}{pairp} \calls{setOutputMathml}{qcdr} \calls{setOutputMathml}{qcar} \calls{setOutputMathml}{member} @@ -27887,7 +27723,7 @@ (|describeSetOutputMathml|)) (t (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(y n ye yes no o on of off console @@ -27895,7 +27731,7 @@ '|ok|) (t (setq arg (list fn '|smml|)))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond @@ -27909,21 +27745,21 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$mathmlOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) @@ -28054,7 +27890,6 @@ \calls{setOutputHtml}{defiostream} \calls{setOutputHtml}{concat} \calls{setOutputHtml}{describeSetOutputHtml} -\calls{setOutputHtml}{pairp} \calls{setOutputHtml}{qcdr} \calls{setOutputHtml}{qcar} \calls{setOutputHtml}{member} @@ -28091,7 +27926,7 @@ (|describeSetOutputHtml|)) (t (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(y n ye yes no o on of off console @@ -28099,7 +27934,7 @@ '|ok|) (t (setq arg (list fn '|smml|)))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond @@ -28113,21 +27948,21 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$htmlOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) @@ -28258,7 +28093,6 @@ \calls{setOutputOpenMath}{defiostream} \calls{setOutputOpenMath}{concat} \calls{setOutputOpenMath}{describeSetOutputOpenMath} -\calls{setOutputOpenMath}{pairp} \calls{setOutputOpenMath}{qcdr} \calls{setOutputOpenMath}{qcar} \calls{setOutputOpenMath}{member} @@ -28295,7 +28129,7 @@ (|describeSetOutputOpenMath|)) (t (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(y n ye yes no o on of off console @@ -28303,7 +28137,7 @@ '|ok|) (t (setq arg (list fn '|som|)))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond @@ -28317,20 +28151,20 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$openMathOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) t))))))) (when (setq ptype (|pathnameType| fn)) @@ -28463,7 +28297,6 @@ \calls{setOutputFormula}{defiostream} \calls{setOutputFormula}{concat} \calls{setOutputFormula}{describeSetOutputFormula} -\calls{setOutputFormula}{pairp} \calls{setOutputFormula}{qcdr} \calls{setOutputFormula}{qcar} \calls{setOutputFormula}{member} @@ -28500,7 +28333,7 @@ (|describeSetOutputFormula|)) (t (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(y n ye yes no o on of off console @@ -28508,7 +28341,7 @@ '|ok|) (t (setq arg (list fn '|sform|)))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond @@ -28522,19 +28355,19 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$formulaOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) t))))))) @@ -28726,7 +28559,6 @@ \calls{setOutputTex}{defiostream} \calls{setOutputTex}{concat} \calls{setOutputTex}{describeSetOutputTex} -\calls{setOutputTex}{pairp} \calls{setOutputTex}{qcdr} \calls{setOutputTex}{qcar} \calls{setOutputTex}{member} @@ -28762,7 +28594,7 @@ (|describeSetOutputTex|)) (t (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t) (|member| fn '(y n ye yes no o on of off console @@ -28770,7 +28602,7 @@ '|ok|) (t (setq arg (list fn '|stex| nil)))) (cond - ((and (pairp arg) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq fn (qcar arg)) t)) (cond @@ -28784,19 +28616,19 @@ (defiostream '((mode . output) (device . console)) 255 0)) (setq |$texOutputFile| "CONSOLE")))) ((or - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq ft (qcar tmp1)) t)))) - (and (pairp arg) + (and (consp arg) (progn (setq fn (qcar arg)) (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq ft (qcar tmp1)) (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcdr tmp2) nil) (progn (setq fm (qcar tmp2)) t))))))) (when (setq ptype (|pathnameType| fn)) @@ -29327,10 +29159,11 @@ (set (fifth setdata) (|translateYesNo2TrueFalse| (seventh setdata)))) (t - (cond ((eq arg2 '|nobreak|) (use-fast-links t))) + (cond ((eq arg2 '|nobreak|) + #+:GCL (si::use-fast-links t))) (cond ((eq arg2 '|fastlinks|) - (use-fast-links nil) + #+:GCL (si::use-fast-links nil) (setq arg2 '|break|))) (set (fifth setdata) (|translateYesNo2TrueFalse| arg2)))))) (when (or |$displaySetValue| (null arg2)) @@ -29439,7 +29272,7 @@ (setq |$e| |$InteractiveFrame|) (setq |$env| |$InteractiveFrame|) (cond - ((and (pairp arg) (eq (qcdr arg) nil) (progn (setq constr (qcar arg)) t)) + ((and (consp arg) (eq (qcdr arg) nil) (progn (setq constr (qcar arg)) t)) (cond ((|member| constr '(|Union| |Record| |Mapping|)) (cond @@ -29452,7 +29285,7 @@ (list constr ")show Union(a: Integer, b: String)" ))) (|sayKeyedMsg| 'S2IZ0045U (list constr ")show Union(Integer, String)" )))) - ((and (pairp constr) (eq (qcar constr) '|Mapping|)) + ((and (consp constr) (eq (qcar constr) '|Mapping|)) (|sayKeyedMsg| 'S2IZ0044M nil)) (t (|reportOperations| constr constr)))) (t (|reportOperations| arg arg))))))) @@ -29497,14 +29330,14 @@ ((eq u '%) (|sayKeyedMsg| 'S2IZ0063 nil) (|sayKeyedMsg| 'S2IZ0064 nil)) - ((and (null (and (pairp u) (eq (qcar u) '|Record|))) - (null (and (pairp u) (eq (qcar u) '|Union|))) + ((and (null (and (consp u) (eq (qcar u) '|Record|))) + (null (and (consp u) (eq (qcar u) '|Union|))) (null (|isNameOfType| u)) - (null (and (pairp u) + (null (and (consp u) (eq (qcar u) '|typeOf|) (progn (setq tmp1 (qcdr u)) - (and (pairp tmp1) (eq (qcdr tmp1) nil)))))) + (and (consp tmp1) (eq (qcdr tmp1) nil)))))) (when (atom oldArg) (setq oldArg (list oldArg))) (|sayKeyedMsg| 'S2IZ0063 nil) (dolist (op oldArg) @@ -29654,6 +29487,27 @@ \end{chunk} +\defun{isExposedConstructor}{isExposedConstructor} +\calls{isExposedConstructor}{getalist} +\refsdollar{isExposedConstructor}{localExposureData} +\refsdollar{isExposedConstructor}{globalExposureGroupAlist} +\begin{chunk}{defun isExposedConstructor} +(defun |isExposedConstructor| (name) + (let (x found) + (declare (special |$globalExposureGroupAlist| |$localExposureData|)) + (cond + ((member name '(|Union| |Record| |Mapping|)) t) + ((member name (elt |$localExposureData| 2)) nil) + ((member name (elt |$localExposureData| 1)) t) + (t + (loop for g in (elt |$localExposureData| 0) do + while (not found) + (setq x (getalist |$globalExposureGroupAlist| g)) + (when (and x (getalist x name)) (setq found t))) + found)))) + +\end{chunk} + \defun{displayOperationsFromLisplib}{displayOperationsFromLisplib} \calls{displayOperationsFromLisplib}{getdatabase} \calls{displayOperationsFromLisplib}{centerAndHighlight} @@ -29738,7 +29592,7 @@ (declare (special |$commentedOps| |$CategoryFrame| $linelength |$options| |$showOptions|)) (setq isRecordOrUnion - (and (pairp unitForm) + (and (consp unitForm) (progn (setq a (qcar unitForm)) t) (|member| a '(|Record| |Union|)))) (setq unit (|evalDomain| unitForm)) @@ -29813,6 +29667,63 @@ \end{chunk} +\defun{getOplistForConstructorForm}{getOplistForConstructorForm} +The new form is an op-Alist which has entries +\begin{verbatim} + ( . signature-Alist) +\end{verbatim} +where signature-Alist has entries +\begin{verbatim} + ( . item) +\end{verbatim} +where item has form ( ) +\begin{verbatim} + ( ) +\end{verbatim} +where = ELT | CONST | Subsumed | (XLAM..) .. +\begin{verbatim} + = ELT | CONST | Subsumed | (XLAM..) .. +\end{verbatim} +\begin{chunk}{defun getOplistForConstructorForm} +(defun |getOplistForConstructorForm| (form) + (let (argl pairlis opAlist op signatureAlist result) + (declare (special |$FormalMapVariableList|)) + (setq op (car form)) + (setq argl (cdr form)) + (setq pairlis + (loop for fv in |$FormalMapVariableList| + for arg in argl + collect (cons fv arg))) + (setq opAlist (|getOperationAlistFromLisplib| op)) + (loop for item in opAlist do + (setq op (car item)) + (setq signatureAlist (cdr item)) + (setq result + (append result + (|getOplistWithUniqueSignatures| op pairlis signatureAlist)))) + result)) + +\end{chunk} + +\defun{getOplistWithUniqueSignatures}{getOplistWithUniqueSignatures} +\begin{chunk}{defun getOplistWithUniqueSignatures} +(defun |getOplistWithUniqueSignatures| (op pairlis signatureAlist) + (let (sig slotNumber pred kind alist) + (loop for item in signatureAlist do + where (nequal (fourth item) '|Subsumed|) + (setq sig (first item)) + (setq slotNumber (second item)) + (setq pred (third item)) + (setq kind (fourth item)) + (setq alist + (|insertAlist| + (sublis pairlis (list op sig)) + (sublis pairlis (list pred (list kind nil slotNumber))) + alist))) + alist)) + +\end{chunk} + \defun{reportOpsFromUnitDirectly1}{reportOpsFromUnitDirectly1} \calls{reportOpsFromUnitDirectly1}{pathname} \calls{reportOpsFromUnitDirectly1}{erase} @@ -29902,6 +29813,8 @@ )clear : remove declarations, definitions or values )close : throw away an interpreter client and workspace )compile : invoke constructor compiler + )copyright : show copyright and trademark information + )describe : show database information for a category, domain, or package )display : display Library operations and objects in your workspace )edit : edit a file )frame : manage interpreter workspaces @@ -30422,7 +30335,6 @@ \end{chunk} \defun{traceSpad2Cmd}{traceSpad2Cmd} -\calls{traceSpad2Cmd}{pairp} \calls{traceSpad2Cmd}{qcar} \calls{traceSpad2Cmd}{qcdr} \calls{traceSpad2Cmd}{getMapSubNames} @@ -30435,11 +30347,11 @@ (let (tmp1 l1) (declare (special |$mapSubNameAlist|)) (cond - ((and (pairp l) + ((and (consp l) (eq (qcar l) '|Tuple|) (progn (setq tmp1 (qcdr l)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq l1 (qcar tmp1)) @@ -30469,7 +30381,6 @@ \calls{trace1}{resetSpacers} \calls{trace1}{resetTimers} \calls{trace1}{resetCounters} -\calls{trace1}{pairp} \calls{trace1}{qcar} \calls{trace1}{qcdr} \calls{trace1}{vecp} @@ -30562,7 +30473,7 @@ (|trace1| oldl) (progn (dolist (x arg) - (if (and (pairp x) + (if (and (consp x) (progn (setq domain (qcar x)) (setq oplist (qcdr x)) @@ -30573,7 +30484,7 @@ (setq |$options| (append newoptions (lassoc x |$optionAlist|))) (|trace1| (list x))))))))) ((null arg) nil) - ((and (pairp arg) (eq (qcdr arg) nil) (eq (qcar arg) '?)) (|?t|)) + ((and (consp arg) (eq (qcdr arg) nil) (eq (qcar arg) '?)) (|?t|)) (t (setq tracelist (or @@ -30745,7 +30656,6 @@ \calls{getTraceOption}{concat} \calls{getTraceOption}{object2String} \calls{getTraceOption}{transOnlyOption} -\calls{getTraceOption}{pairp} \calls{getTraceOption}{qcdr} \calls{getTraceOption}{qcar} \calls{getTraceOption}{getTraceOption,hn} @@ -30806,7 +30716,7 @@ ((eq key '|only|) (cons '|only| (|transOnlyOption| l))) ((eq key '|within|) (cond - ((and (pairp l) + ((and (consp l) (eq (qcdr l) nil) (progn (setq a (qcar l)) t) (identp a)) @@ -30820,7 +30730,7 @@ ((eq key '|cond|) '|when|) (t key))) (cond - ((and (pairp l) + ((and (consp l) (eq (qcdr l) nil) (progn (setq a (qcar l)) t)) (cons key l)) @@ -30832,7 +30742,7 @@ (|object2String| key)) nil) nil)))))) ((eq key '|depth|) (cond - ((and (pairp l) + ((and (consp l) (eq (qcdr l) nil) (progn (setq |n| (qcar l)) t) (integerp |n|)) @@ -30843,7 +30753,7 @@ ((eq key '|count|) (cond ((or (null l) - (and (pairp l) + (and (consp l) (eq (qcdr l) nil) (progn (setq |n| (qcar l)) t) (integerp |n|))) @@ -30864,7 +30774,7 @@ ((member key '(|local| ops |vars|)) (cond ((or (null l) - (and (pairp l) (eq (qcdr l) nil) (eq (qcar l) '|all|))) + (and (consp l) (eq (qcdr l) nil) (eq (qcar l) '|all|))) (cons key '|all|)) ((|isListOfIdentifiersOrStrings| l) arg) (t @@ -30875,7 +30785,7 @@ ((eq key '|varbreak|) (cond ((or (null l) - (and (pairp l) (eq (qcdr l) nil) (eq (qcar l) '|all|))) + (and (consp l) (eq (qcdr l) nil) (eq (qcar l) '|all|))) (cons '|varbreak| '|all|)) ((|isListOfIdentifiers| l) arg) (t @@ -30996,13 +30906,12 @@ \calls{transOnlyOption}{transOnlyOption} \calls{transOnlyOption}{upcase} \calls{transOnlyOption}{stackTraceOptionError} -\calls{transOnlyOption}{pairp} \calls{transOnlyOption}{qcar} \calls{transOnlyOption}{qcdr} \begin{chunk}{defun transOnlyOption} (defun |transOnlyOption| (arg) (let (y n) - (when (and (pairp arg) (progn (setq n (qcar arg)) (setq y (qcdr arg)) t)) + (when (and (consp arg) (progn (setq n (qcar arg)) (setq y (qcdr arg)) t)) (cond ((integerp n) (cons n (|transOnlyOption| y))) ((member (setq n (upcase n)) '(v a c)) (cons n (|transOnlyOption| y))) @@ -31112,7 +31021,6 @@ \calls{transTraceItem}{domainToGenvar} \calls{transTraceItem}{unabbrev} \calls{transTraceItem}{constructor?} -\calls{transTraceItem}{pairp} \calls{transTraceItem}{vecp} \calls{transTraceItem}{transTraceItem} \calls{transTraceItem}{devaluate} @@ -31139,7 +31047,7 @@ (setq y (|unabbrev| x)) (cond ((|constructor?| y) y) - ((and (pairp y) (|constructor?| (car y))) (car y)) + ((and (consp y) (|constructor?| (car y))) (car y)) ((setq y (|domainToGenvar| x)) y) (t x))) (t x))) @@ -31529,7 +31437,6 @@ \end{chunk} \defun{funfind,LAM}{funfind,LAM} -\calls{funfind,LAM}{pairp} \calls{funfind,LAM}{qcar} \calls{funfind,LAM}{SEQ} \calls{funfind,LAM}{isFunctor} @@ -31549,10 +31456,10 @@ (seq (exit (cond - ((and (pairp u) + ((and (consp u) (progn (setq tmp1 (qcar u)) - (and (pairp tmp1) (equal (qcar tmp1) opname)))) + (and (consp tmp1) (equal (qcar tmp1) opname)))) (setq t0 (cons u t0)))))))))))))) \end{chunk} @@ -31624,7 +31531,6 @@ \end{chunk} \defun{spadTrace}{spadTrace} -\calls{spadTrace}{pairp} \calls{spadTrace}{refvecp} \calls{spadTrace}{aldorTrace} \calls{spadTrace}{isDomainOrPackage} @@ -31668,7 +31574,7 @@ (setq |$fromSpadTrace| t) (setq |$tracedModemap| nil) (cond - ((and (pairp domain) + ((and (consp domain) (refvecp (car domain)) (eql (elt (car domain) 0) 0)) (|aldorTrace| domain options)) @@ -31890,7 +31796,6 @@ \defun{untraceDomainConstructor,keepTraced?}{% untraceDomainConstructor,keepTraced?} \calls{untraceDomainConstructor,keepTraced?}{seq} -\calls{untraceDomainConstructor,keepTraced?}{pairp} \calls{untraceDomainConstructor,keepTraced?}{qcar} \calls{untraceDomainConstructor,keepTraced?}{isDomainOrPackage} \calls{untraceDomainConstructor,keepTraced?}{boot-equal} @@ -31905,7 +31810,7 @@ (seq (if (and (and - (and (pairp df) (progn (setq dc (qcar df)) t)) + (and (consp df) (progn (setq dc (qcar df)) t)) (|isDomainOrPackage| dc)) (boot-equal (kar (|devaluate| dc)) domainConstructor)) (exit (seq (|/UNTRACE,0| (cons dc nil)) (exit nil)))) @@ -32252,7 +32157,6 @@ \end{chunk} \defun{hasPair}{hasPair} -\calls{hasPair}{pairp} \calls{hasPair}{qcar} \calls{hasPair}{qcdr} \calls{hasPair}{hasPair} @@ -32262,10 +32166,10 @@ (return (cond ((atom arg) nil) - ((and (pairp arg) + ((and (consp arg) (progn (setq tmp1 (qcar arg)) - (and (pairp tmp1) + (and (consp tmp1) (equal (qcar tmp1) key) (progn (setq a (qcdr tmp1)) t)))) a) @@ -32302,7 +32206,6 @@ \end{chunk} \defun{reportSpadTrace}{reportSpadTrace} -\calls{reportSpadTrace}{pairp} \calls{reportSpadTrace}{qcar} \calls{reportSpadTrace}{sayBrightly} \usesdollar{reportSpadTrace}{traceNoisely} @@ -32333,7 +32236,7 @@ (setq |namePart| nil) (setq |tracePart| (cond - ((and (pairp |t|) (progn (setq y (qcar |t|)) t) (null (null y))) + ((and (consp |t|) (progn (setq y (qcar |t|)) t) (null (null y))) (cond ((eq y '|all|) (cons '|%b| (cons '|all| (cons '|%d| (cons '|vars| nil))))) @@ -32370,7 +32273,6 @@ \end{chunk} \defun{/tracereply}{/tracereply} -\calls{/tracereply}{pairp} \calls{/tracereply}{qcar} \calls{/tracereply}{isDomainOrPackage} \calls{/tracereply}{devaluate} @@ -32391,7 +32293,7 @@ (seq (exit (cond - ((and (pairp x) + ((and (consp x) (progn (setq |d| (qcar x)) t) (|isDomainOrPackage| |d|)) (setq domainlist (cons (|devaluate| |d|) domainlist))) @@ -32404,7 +32306,6 @@ \defun{spadReply,printName}{spadReply,printName} \calls{spadReply,printName}{seq} -\calls{spadReply,printName}{pairp} \calls{spadReply,printName}{qcar} \calls{spadReply,printName}{isDomainOrPackage} \calls{spadReply,printName}{exit} @@ -32414,7 +32315,7 @@ (prog (|d|) (return (seq - (if (and (and (pairp x) (progn (setq |d| (qcar x)) t)) + (if (and (and (consp x) (progn (setq |d| (qcar x)) t)) (|isDomainOrPackage| |d|)) (exit (|devaluate| |d|))) (exit x))))) @@ -32535,9 +32436,24 @@ (|spadReply|))))))))))) \end{chunk} + +\defun{remover}{remover} +\calls{remover}{remover} +\begin{chunk}{defun remover} +(defun remover (lst item) + (cond + ((null (consp lst)) (cond ((equal lst item) nil) (t lst))) + ((equal (car lst) item) (cdr lst)) + (t + (rplnode lst (remover (car lst) item) (remover (cdr lst) item)) + (rplaca lst (remover (car lst) item)) + (rplacd lst (remover (cdr lst) item)) + lst))) + +\end{chunk} + \defun{prTraceNames,fn}{prTraceNames,fn} \calls{prTraceNames,fn}{seq} -\calls{prTraceNames,fn}{pairp} \calls{prTraceNames,fn}{qcar} \calls{prTraceNames,fn}{qcdr} \calls{prTraceNames,fn}{isDomainOrPackage} @@ -32548,7 +32464,7 @@ (prog (|d| |t|) (return (seq - (if (and (and (pairp x) + (if (and (and (consp x) (progn (setq |d| (qcar x)) (setq |t| (qcdr x)) t)) (|isDomainOrPackage| |d|)) (exit (cons (|devaluate| |d|) |t|))) @@ -32583,7 +32499,6 @@ \defun{traceReply}{traceReply} \calls{traceReply}{sayMessage} \calls{traceReply}{sayBrightly} -\calls{traceReply}{pairp} \calls{traceReply}{qcar} \calls{traceReply}{isDomainOrPackage} \calls{traceReply}{addTraceItem} @@ -32627,7 +32542,7 @@ (seq (exit (cond - ((and (pairp x) + ((and (consp x) (progn (setq |d| (qcar x)) t) (|isDomainOrPackage| |d|)) (|addTraceItem| |d|)) ((atom x) @@ -32747,7 +32662,6 @@ \calls{?t}{sayMSG} \calls{?t}{bright} \calls{?t}{rassocSub} -\calls{?t}{pairp} \calls{?t}{qcar} \calls{?t}{qcdr} \calls{?t}{isDomainOrPackage} @@ -32778,7 +32692,7 @@ "traced")))))) (dolist (x /tracenames) (cond - ((and (pairp x) + ((and (consp x) (progn (setq d (qcar x)) (setq l (qcdr x)) t) (|isDomainOrPackage| d)) (progn @@ -32916,7 +32830,6 @@ (return (progn (setq condition (|MONITOR,EVALTRAN| /breakcondition nil)) - (enable-backtrace nil) (when (eval condition) (|sayBrightly| msg) (interrupt)))))) @@ -32996,6 +32909,456 @@ \end{chunk} \footnote{\fnref{history}} +\section{Evaluation} +Some Antique Comments About the Interpreter + +EVAL BOOT contains the top level interface to the Scratchhpad-II +interpreter. The Entry point into the interpreter from the parser is +processInteractive. + +The type analysis algorithm is contained in the file BOTMUP BOOT, +and MODSEL boot, +the map handling routines are in MAP BOOT and NEWMAP BOOT, and +the interactive coerce routines are in COERCE BOOT and COERCEFN BOOT. + +{\bf Conventions:} +All spad values in the interpreter are passed around in triples. +These are lists of three items: +\begin{verbatim} + [value,mode,environment] +\end{verbatim} +The value +may be wrapped (this is a pair whose CAR is the atom WRAPPED and +whose CDR is the value), which indicates that it is a real value, +or unwrapped in which case it needs to be EVALed to produce the +proper value. The mode is the type of value, and should always be +completely specified (not contain \verb|$EmptyMode|). The environment +is always empty, and is included for historical reasons. + +{\bf Modemaps:} +Modemaps are descriptions of compiled Spad function which the +interpreter uses to perform type analysis. They consist of patterns +of types for the arguments, and conditions the types must satisfy +for the function to apply. For each function name there is a list +of modemaps in file modemap DATABASE for each distinct function with +that name. The following is the list of the modemaps for ``*'' +(multiplication. The first modemap (the one with the labels) is for +module mltiplication which is multiplication of an element of a +module by a member of its scalar domain. + +This is the signature pattern for the modemap, it is of the form: +\begin{verbatim} + (DomainOfComputation TargetType ) + | + | This is the predicate that needs to be + | satisfied for the modemap to apply + | | + V | + /-----------/ | + ( ( (*1 *1 *2 *1) V + /-----------------------------------------------------------/ + ( (AND (ofCategory *1 (Module *2)) (ofCategory *2 (SimpleRing))) ) + . CATDEF) <-- This is the file where the function was defined + ( (*1 *1 *2 *1) + ( (AND (isDomain *2 (Integer)) (ofCategory *1 (AbelianGroup))) ) + . CATDEF) + ( (*1 *1 *2 *1) + ( (AND + (isDomain *2 (NonNegativeInteger)) + (ofCategory *1 (AbelianMonoid))) ) + . CATDEF) + ((*1 *1 *1 *1) ((ofCategory *1 (SemiGroup)) ) . CATDEF) + ) +\end{verbatim} +{\bf Environments:} +Environments associate properties with atoms. + +Some common properties are: +\begin{itemize} +\item {\bf modeSet:} +During interpretation we build a modeSet property for each node in +the expression. This is (in theory) a list of all the types +possible for the node. In the current implementation these +modeSets always contain a single type. +\item {\bf value:} +Value properties are always triples. This is where the values of +variables are stored. We also build value properties for internal +nodes during the bottom up phase. +\item {\bf mode:} +This is the declared type of an identifier. +\end{itemize} + +There are several different environments used in the interpreter: +\begin{itemize} +\item {\bf \verb|$InteractiveFrame|:} this is the environment where the user +values are stored. Any side effects of evaluation of a top-level +expression are stored in this environment. It is always used as +the starting environment for interpretation. +\item {\bf \$e:} +This is the name used for \verb|$InteractiveFrame| while interpreting. +\item {\bf \verb|$env|:} This is local environment used by the interpreter. +Only temporary information (such as types of local variables is +stored in \verb|$env|. +It is thrown away after evaluation of each expression. +\end{itemize} + +Frequently used global variables: +\begin{itemize} +\item {\bf \verb|$genValue|}: if true then evaluate generated code, +otherwise leave code unevaluated. If \verb|$genValue| is false then +we are compiling. +\item {\bf \verb|$op|}: name of the top level operator +(unused except in map printing) +\item {\bf \verb|$mapList|}: list of maps being type analyzed, used in +recursive map type anlysis. +\item {\bf \verb|$compilingMap|}: true when compiling a map, used to +detect where to THROW when interpret-only is invoked +\item {\bf \verb|$compilingLoop|}: true when compiling a loop body, +used to control nesting level of interp-only loop CATCH points +\item {\bf \verb|$interpOnly|}: true when in interpret only mode, used +to call alternate forms of COLLECT and REPEAT. +\item {\bf \verb|$inCOLLECT|}: true when compiling a COLLECT, used +only for hacked stream compiler. +\item {\bf \verb|$StreamFrame|}: used in printing streams, it is the +environment where local stream variables are stored +\item {\bf \verb|$declaredMode|}: Weak type propagation for symbols, +set in upCOERCE and upLET. This variable is used to determine the +alternate polynomial types of Symbols. +\item {\bf \verb|$localVars|}: list of local variables in a map body +\item {\bf \verb|$MapArgumentTypeList|}: hack for stream compilation +\end{itemize} + +\defun{evalDomain}{evalDomain} +\calls{evalDomain}{sayMSG} +\calls{evalDomain}{concat} +\calls{evalDomain}{prefix2String} +\calls{evalDomain}{startTimingProcess} +\calls{evalDomain}{eval} +\calls{evalDomain}{mkEvalable} +\calls{evalDomain}{stopTimingProcess} +\refsdollar{evalDomain}{evalDomain} +\begin{chunk}{defun evalDomain} +(defun |evalDomain| (form) + (let (result) + (declare (special |$evalDomain|)) + (when |$evalDomain| + (|sayMSG| + (|concat| " instantiating" '|%b| (|prefix2String| form) '|%d|))) + (|startTimingProcess| '|instantiation|) + (setq result (|eval| (|mkEvalable| form))) + (|stopTimingProcess| '|instantiation|) + result)) + +\end{chunk} + +\defun{mkEvalable}{mkEvalable} +\calls{mkEvalable}{qcar} +\calls{mkEvalable}{qcdr} +\calls{mkEvalable}{mkEvalable} +\calls{mkEvalable}{devaluate} +\calls{mkEvalable}{mkEvalableRecord} +\calls{mkEvalable}{mkEvalableUnion} +\calls{mkEvalable}{mkEvalableMapping} +\calls{mkEvalable}{loadIfNecessary} +\calls{mkEvalable}{getdatabase} +\calls{mkEvalable}{mkq} +\calls{mkEvalable}{constructor?} +\calls{mkEvalable}{fbpip} +\calls{mkEvalable}{bpiname} +\refsdollar{mkEvalable}{Integer} +\refsdollar{mkEvalable}{EmptyMode} +\begin{chunk}{defun mkEvalable} +(defun |mkEvalable| (form) + (let (op argl kind cosig tmp1 y) + (declare (special |$Integer| |$EmptyMode|)) + (cond + ((consp form) + (setq op (qcar form)) + (setq argl (qcdr form)) + (cond + ((eq op 'quote) form) + ((eq op 'wrapped) (|mkEvalable| (|devaluate| argl))) + ((eq op '|Record|) (|mkEvalableRecord| form)) + ((eq op '|Union|) (|mkEvalableUnion| form)) + ((eq op '|Mapping|) (|mkEvalableMapping| form)) + ((eq op '|Enumeration|) form) + (t + (|loadIfNecessary| op) + (setq kind (getdatabase op 'constructorkind)) + (cond + ((setq cosig (getdatabase op 'cosig)) + (cons op + (loop for x in argl for typeFlag in (rest cosig) + collect + (cond + (typeFlag + (cond + ((eq kind '|category|) (mkq x)) + ((vecp x) (mkq x)) + (t + (|loadIfNecessary| x) + (|mkEvalable| x)))) + ((and (consp x) (eq (qcar x) 'quote)) x) + ((and (consp x) (eq (qcar x) '|#|) (consp (qcdr x)) + (eq (qcdr (qcdr x)) nil)) + (list 'size (mkq (qcar (qcdr x))))) + (t (mkq x)))))) + (t + (cons op + (loop for x in argl + collect (|mkEvalable| x)))))))) + ((equal form |$EmptyMode|) |$Integer|) + ((and (identp form) (|constructor?| form)) (list form)) + ((fbpip form) (bpiname form)) + (t form)))) + +\end{chunk} + +\defun{mkEvalableUnion}{mkEvalableUnion} +\calls{mkEvalableUnion}{mkEvalable} +\begin{chunk}{defun mkEvalableUnion} +(defun |mkEvalableUnion| (form) + (cond + ((|isTaggedUnion| form) + (cons + (car form) + (loop for item in (rest form) + collect (list '|:| (second item) (|mkEvalable| (third item)))))) + (t + (cons (car form) + (loop for d in (rest form) + collect (|mkEvalable| d)))))) + +\end{chunk} + +\defun{mkEvalableRecord}{mkEvalableRecord} +\calls{mkEvalableRecord}{mkEvalable} +\begin{chunk}{defun mkEvalableRecord} +(defun |mkEvalableRecord| (form) + (let (n d) + (cons + (car form) + (loop for item in (rest form) + collect (list (quote |:|) (second item) (|mkEvalable| (third item))))))) + +\end{chunk} + +\defun{mkEvalableMapping}{mkEvalableMapping} +\calls{mkEvalableMapping}{mkEvalable} +\begin{chunk}{defun mkEvalableMapping} +(defun |mkEvalableMapping| (form) + (cons + (car form) + (loop for d in (rest form) + collect (|mkEvalable| d)))) + +\end{chunk} + +\defun{evaluateType}{evaluateType} +Takes a parsed, unabbreviated type and evaluates it, replacing +type valued variables with their values, and calling bottomUp +on non-type valued arguemnts to the constructor +and finally checking to see whether the type satisfies the +conditions of its modemap +\calls{evaluateType}{isDomainValuedVariable} +\calls{evaluateType}{qcar} +\calls{evaluateType}{qcdr} +\calls{evaluateType}{mkAtree} +\calls{evaluateType}{bottomUp} +\calls{evaluateType}{objVal} +\calls{evaluateType}{getValue} +\calls{evaluateType}{evaluateSignature} +\calls{evaluateType}{member} +\calls{evaluateType}{evaluateType} +\calls{evaluateType}{constructor?} +\calls{evaluateType}{throwEvalTypeMsg} +\refsdollar{evaluateType}{EmptyMode} +\defsdollar{evaluateType}{expandSegments} +\begin{chunk}{defun evaluateType} +(defun |evaluateType| (form) + (let (|$expandSegments| domain formp op argl) + (declare (special |$expandSegments| |$EmptyMode|)) + (cond + ((setq domain (|isDomainValuedVariable| form)) domain) + ((equal form |$EmptyMode|) form) + ((eq form '?) |$EmptyMode|) + ((stringp form) form) + ((eq form '$) form) + (t + (setq |$expandSegments| nil) + (cond + ((and (consp form) (eq (qcar form) '|typeOf|) (consp (qcdr form)) + (eq (qcdr (qcdr form)) nil)) + (setq formp (|mkAtree| form)) + (|bottomUp| formp) + (|objVal| (|getValue| formp))) + ((consp form) + (setq op (qcar form)) + (setq argl (qcdr form)) + (cond + ((eq op 'category) + (cond + ((consp argl) + (cons op + (cons (qcar argl) + (loop for s in (qcdr argl) + collect (|evaluateSignature| s))))) + (t form))) + ((|member| op '(|Join| |Mapping|)) + (cons op + (loop for arg in argl + collect (|evaluateType| arg)))) + ((eq op '|Union|) + (cond + ((and argl (consp (car argl)) (consp (qcdr (car argl))) + (consp (qcdr (qcdr (car argl)))) + (eq (qcdr (qcdr (qcdr (car argl)))) nil) + (|member| (qcar (car argl)) '(|:| |Declare|))) + (cons op + (loop for item in argl + collect + (list '|:| (second item) (|evaluateType| (third item)))))) + (t + (cons op + (loop for arg in argl + collect (|evaluateType| arg)))))) + ((eq op '|Record|) + (cons op + (loop for item in argl + collect + (list '|:| (second item) (|evaluateType| (third item)))))) + ((eq op '|Enumeration|) form) + (t (|evaluateType1| form)))) + ((|constructor?| form) + (if (atom form) + (|evaluateType| (list form)) + (|throwEvalTypeMsg| 'S2IE0003 (list form form)))) + (t (|throwEvalTypeMsg| 'S2IE0004 (list form)))))))) + +\end{chunk} + +\defun{evaluateType1}{Eval args passed to a constructor} +Evaluates the arguments passed to a constructor +\calls{evaluateType1}{constructor?} +\calls{evaluateType1}{getConstructorSignature} +\calls{evaluateType1}{throwEvalTypeMsg} +\calls{evaluateType1}{replaceSharps} +\calls{evaluateType1}{nequal} +\calls{evaluateType1}{categoryForm?} +\calls{evaluateType1}{evaluateType} +\calls{evaluateType1}{evalCategory} +\calls{evaluateType1}{getdatabase} +\calls{evaluateType1}{mkAtree} +\calls{evaluateType1}{putTarget} +\calls{evaluateType1}{bottumUp} +\calls{evaluateType1}{qcar} +\calls{evaluateType1}{qcdr} +\calls{evaluateType1}{getAndEvalConstructorArgument} +\calls{evaluateType1}{coerceOrRetract} +\calls{evaluateType1}{objValUnwrap} +\calls{evaluateType1}{throwKeyedMsgCannotCoerceWithValue} +\calls{evaluateType1}{makeOrdinal} +\refsdollar{evaluateType1}{quadSymbol} +\refsdollar{evaluateType1}{EmptyMode} +\begin{chunk}{defun evaluateType1} +(defun |evaluateType1| (form) + (let (op argl sig ml xp tree tmp1 m1 z1 zt zv v typeList (argnum 0)) + (declare (special |$quadSymbol| |$EmptyMode|)) + (setq op (car form)) + (setq argl (cdr form)) + (cond + ((|constructor?| op) + (cond + ((null (setq sig (|getConstructorSignature| form))) + (|throwEvalTypeMsg| 'S2IE0005 (list form))) + (t + (setq ml (cdr sig)) + (setq ml (|replaceSharps| ml form)) + (cond + ((nequal (|#| argl) (|#| ml)) + (|throwEvalTypeMsg| 'S2IE0003 (list form form))) + (t + (loop for x in argl for m in ml + do + (setq typeList + (cons + (cond + ((|categoryForm?| m) + (setq m (|evaluateType| (msubstq x '$ m))) + (if (|evalCategory| (setq xp (|evaluateType| x)) m) + xp + (|throwEvalTypeMsg| 'S2IE0004 (list form)))) + (t + (setq m (|evaluateType| m)) + (cond + ((and (eq (getdatabase (|opOf| m) 'constructorkind) '|domain|) + (setq tree (|mkAtree| x)) + (|putTarget| tree m) + (progn + (setq tmp1 (|bottomUp| tree)) + (and (consp tmp1) + (eq (qcdr tmp1) nil)))) + (setq m1 (qcar tmp1)) + (setq z1 (|getAndEvalConstructorArgument| tree)) + (setq zt (car z1)) + (setq zv (cdr z1)) + (if (setq v (|coerceOrRetract| z1 m)) + (|objValUnwrap| v) + (|throwKeyedMsgCannotCoerceWithValue| zv zt m))) + (t + (when (equal x |$EmptyMode|) (setq x |$quadSymbol|)) + (|throwEvalTypeMsg| 'S2IE0006 + (list (|makeOrdinal| (incf argnum)) m form)))))) + typeList))) + (cons op (nreverse typeList))))))) + (t (|throwEvalTypeMsg| 'S2IE0007 (list op)))))) + +\end{chunk} + +\defdollar{noEvalTypeMsg} +\begin{chunk}{initvars} +(defvar |$noEvalTypeMsg| nil) + +\end{chunk} + +\defun{throwEvalTypeMsg}{throwEvalTypeMsg} +\calls{throwEvalTypeMsg}{spadThrow} +\calls{throwEvalTypeMsg}{throwKeyedMsg} +\refsdollar{throwEvalTypeMsg}{noEvalTypeMsg} +\begin{chunk}{defun throwEvalTypeMsg} +(defun |throwEvalTypeMsg| (msg args) + (declare (special |$noEvalTypeMsg|)) + (if |$noEvalTypeMsg| + (|spadThrow|) + (|throwKeyedMsg| msg args))) + +\end{chunk} + +\defun{makeOrdinal}{makeOrdinal} +\begin{chunk}{defun makeOrdinal} +(defun |makeOrdinal| (i) + (elt '(|first| |second| |third| |fourth| |fifth| |sixth| |seventh| + |eighth| |ninth| |tenth|) + (1- i))) + +\end{chunk} + +\defun{evaluateSignature}{evaluateSignature} +Calls evaluateType on a signature +\calls{evaluateSignature}{evaluateType} +\begin{chunk}{defun evaluateSignature} +(defun |evaluateSignature| (sig) + (cond + ((and (consp sig) (eq (qcar sig) 'signature) (consp (qcdr sig)) + (consp (qcdr (qcdr sig))) (eq (qcdr (qcdr (qcdr sig))) nil)) + (cons 'signature (cons (qcar (qcdr sig)) + (list + (loop for z in (qcar (qcdr (qcdr sig))) + collect (if (eq z '$) z (|evaluateType| z))))))) + (t sig))) + +\end{chunk} + \section{Data Structures} \verb|$frameRecord = [delta1, delta2,... ]| where delta(i) contains changes in the ``backwards'' direction. @@ -33055,7 +33418,6 @@ \calls{undo}{pname} \calls{undo}{read} \calls{undo}{userError} -\calls{undo}{pairp} \calls{undo}{qcdr} \calls{undo}{qcar} \calls{undo}{spaddifference} @@ -33070,11 +33432,11 @@ (declare (special |$options| |$InteractiveFrame|)) (setq undoWhen '|after|) (when - (and (pairp |$options|) + (and (consp |$options|) (eq (qcdr |$options|) nil) (progn (setq tmp1 (qcar |$options|)) - (and (pairp tmp1) + (and (consp tmp1) (eq (qcdr tmp1) nil) (progn (setq key (qcar tmp1)) t))) (cond @@ -33432,7 +33794,6 @@ \calls{undoSteps}{recordFrame} \calls{undoSteps}{copy} \calls{undoSteps}{undoSingleStep} -\calls{undoSteps}{pairp} \calls{undoSteps}{qcdr} \calls{undoSteps}{qcar} \usesdollar{undoSteps}{IOindex} @@ -33448,13 +33809,13 @@ (do ((i 0 (1+ i)) (framelist |$frameRecord| (cdr framelist))) ((or (> i m) (atom framelist)) nil) (setq env (|undoSingleStep| (CAR framelist) env)) - (if (and (pairp framelist) + (if (and (consp framelist) (progn (setq tmp1 (qcdr framelist)) - (and (pairp tmp1) + (and (consp tmp1) (progn (setq tmp2 (qcar tmp1)) - (and (pairp tmp2) + (and (consp tmp2) (eq (qcar tmp2) '|systemCommand|) (progn (setq systemDelta (qcdr tmp2)) @@ -33791,13 +34152,12 @@ \end{chunk} \defun{whatSpad2Cmd,fixpat}{whatSpad2Cmd,fixpat} -\calls{whatSpad2Cmd,fixpat}{pairp} \calls{whatSpad2Cmd,fixpat}{qcar} \calls{whatSpad2Cmd,fixpat}{downcase} \begin{chunk}{defun whatSpad2Cmd,fixpat} (defun |whatSpad2Cmd,fixpat| (x) (let (xp) - (if (and (pairp x) (progn (setq xp (qcar x)) t)) + (if (and (consp x) (progn (setq xp (qcar x)) t)) (downcase xp) (downcase x)))) @@ -33981,14 +34341,14 @@ \calls{filterAndFormatConstructors}{function} \usesdollar{filterAndFormatConstructors}{linelength} \begin{chunk}{defun filterAndFormatConstructors} -(defun |filterAndFormatConstructors| (|constrType| label patterns) +(defun |filterAndFormatConstructors| (constrType label patterns) (prog (l) (declare (special $linelength)) (return (progn (|centerAndHighlight| label $linelength (|specialChar| '|hbar|)) (setq l (|filterListOfStringsWithFn| patterns - (|whatConstructors| |constrType|) + (|whatConstructors| constrType) (|function| cdr))) (cond (patterns (cond @@ -34022,7 +34382,7 @@ \calls{whatConstructors}{msort} \calls{whatConstructors}{exit} \begin{chunk}{defun whatConstructors} -(defun |whatConstructors| (|constrType|) +(defun |whatConstructors| (constrType) (prog nil (return (seq @@ -34035,8 +34395,7 @@ (seq (exit (cond - ((boot-equal (getdatabase |con| 'constructorkind) - |constrType|) + ((equal (getdatabase |con| 'constructorkind) constrType) (setq t0 (cons (cons @@ -34307,6 +34666,131 @@ \end{chunk} +\chapter{Handlers for Special Forms} +This file contains the functions which do type analysis and +evaluation of special functions in the interpreter. +Special functions are ones which are not defined in the algebra +code, such as assignment, construct, COLLECT and declaration. + +Operators which require special handlers all have a LISP ``up'' +property which is the name of the special handler, which is +always the word ``up'' followed by the operator name. +If an operator has this ``up'' property the handler is called +automatically from bottomUp instead of general modemap selection. + +The up handlers are usually split into two pieces, the first is +the up function itself, which performs the type analysis, and an +``eval'' function, which generates (and executes, if required) the +code for the function. + +The up functions always take a single argument, which is the +entire attributed tree for the operation, and return the modeSet +of the node, which is a singleton list containing the type +computed for the node. + +The eval functions can take any arguments deemed necessary. +Actual evaluation is done if \verb|$genValue| is true, otherwise code is +generated. + +(See the function analyzeMap for other things that may affect +what is generated in these functions.) + +These functions are required to do two things: +\begin{enumerate} +\item do a putValue on the operator vector with the computed value + of the node, which is a triple. This is usually done in the + eval functions. +\item do a putModeSet on the operator vector with a list of the + computed type of the node. This is usually done in the + up functions. +\end{enumerate} + +There are several special modes used in these functions: +\begin{enumerate} +\item Void is the mode that should be used for all statements + that do not otherwise return values, such as declarations, + loops, IF-THEN's without ELSE's, etc.. +\item \verb|$NoValueMode| and \verb|$ThrowAwayMode| used to be used + in situations where Void is now used, and are being phased out + completely. +\end{enumerate} + +\defun{getAndEvalConstructorArgument}{getAndEvalConstructorArgument} +\calls{getAndEvalConstructorArgument}{getValue} +\calls{getAndEvalConstructorArgument}{objMode} +\calls{getAndEvalConstructorArgument}{isWrapped} +\calls{getAndEvalConstructorArgument}{objVal} +\calls{getAndEvalConstructorArgument}{isLocalVar} +\calls{getAndEvalConstructorArgument}{compFailure} +\calls{getAndEvalConstructorArgument}{objNewWrap} +\calls{getAndEvalConstructorArgument}{timedEVALFUN} +\begin{chunk}{defun getAndEvalConstructorArgument} +(defun |getAndEvalConstructorArgument| (tree) + (let (triple) + (setq triple (|getValue| tree)) + (cond + ((eq (|objMode| triple) '(|Domain|)) triple) + ((|isWrapped| (|objVal| triple)) triple) + ((|isLocalVar| (|objVal| triple)) + (|compFailure| " Local variable or parameter used in type")) + (t + (|objNewWrap| (|timedEVALFUN| (|objVal| triple)) (|objMode| triple)))))) + +\end{chunk} + +\defun{replaceSharps}{replaceSharps} +Replaces all sharps in x by the arguments of domain d. +Replaces all replaces the triangle variables +\calls{replaceSharps}{subCopy} +\refsdollar{replaceSharps}{TriangleVariableList} +\refsdollar{replaceSharps}{FormalMapVariableList} +\begin{chunk}{defun replaceSharps} +(defun |replaceSharps| (x d) + (let (sl) + (declare (special |$TriangleVariableList| |$FormalMapVariableList|)) + (loop for e in (rest d) for var in |$FormalMapVariableList| + do (setq sl (cons (cons var e) sl))) + (setq x (|subCopy| x sl)) + (setq sl nil) + (loop for e in (rest d) for var in |$TriangleVariableList| + do (setq sl (cons (cons var e) sl))) + (|subCopy| x sl))) + +\end{chunk} + +\defun{isDomainValuedVariable}{isDomainValuedVariable} +Returns the value of form if form is a variable with a type value +\calls{isDomainValuedVariable}{identp} +\calls{isDomainValuedVariable}{get} +\calls{isDomainValuedVariable}{member} +\calls{isDomainValuedVariable}{objMode} +\calls{isDomainValuedVariable}{objValUnwrap} +\refsdollar{isDomainValuedVariable}{e} +\refsdollar{isDomainValuedVariable}{env} +\refsdollar{isDomainValuedVariable}{InteractiveFrame} +\begin{chunk}{defun isDomainValuedVariable} +(defun |isDomainValuedVariable| (form) + (let (val) + (declare (special |$e| |$env| |$InteractiveFrame|)) + (when (and (identp form) + (setq val + (or (|get| form '|value| |$InteractiveFrame|) + (and (consp |$env|) (|get| form '|value| |$env|)) + (and (consp |$e|) (|get| form '|value| |$e|)))) + (|member| (|objMode| val) '((|Domain|) (|SubDomain| (|Domain|))))) + (|objValUnwrap| val)))) + +\end{chunk} + +\defun{evalCategory}{evalCategory} +\calls{evalCategory}{ofCategory} +\calls{evalCategory}{isPartialMode} +\begin{chunk}{defun evalCategory} +(defun |evalCategory| (d c) + (or (|isPartialMode| d) (|ofCategory| d c))) + +\end{chunk} + \chapter{Handling input files} \defun{readSpadProfileIfThere}{Handle .axiom.input file} \uses{readSpadProfileIfThere}{/editfile} @@ -34406,10 +34890,10 @@ (cond (|$InteractiveMode| (|addBindingInteractive| var proplist e)) (t - (when (and (pairp curContour) + (when (and (consp curContour) (progn (setq tmp1 (qcar curContour)) - (and (pairp tmp1) (equal (qcar tmp1) var)))) + (and (consp tmp1) (equal (qcar tmp1) var)))) (setq curContour (cdr curContour))) (setq lx (cons var proplist)) (cons (cons (cons lx curContour) tailContour) tailEnv))))))) @@ -34563,6 +35047,121 @@ \end{chunk} +\defun{spad-syntax-error}{spad-syntax-error} +\calls{spad-syntax-error}{bumperrorcount} +\calls{spad-syntax-error}{consoleinputp} +\calls{spad-syntax-error}{spad-long-error} +\calls{spad-syntax-error}{spad-short-error} +\calls{spad-syntax-error}{ioclear} +\uses{spad-syntax-error}{debugmode} +\throws{spad-syntax-error}{spad-reader} +\begin{chunk}{defun spad-syntax-error} +(defun spad-syntax-error (&rest byebye) + "Print syntax error indication, underline character, scrub line." + (declare (special debugmode)) + (bumperrorcount '|syntax|) + (cond ((and (eq debugmode 'yes) (not(consoleinputp in-stream))) + (spad-long-error)) + ((spad-short-error))) + (ioclear) + (throw 'spad_reader nil)) + +\end{chunk} + +\defun{spad-long-error}{spad-long-error} +\calls{spad-long-error}{spad-error-loc} +\calls{spad-long-error}{iostat} +\uses{spad-long-error}{out-stream} +\uses{spad-long-error}{spaderrorstream} +\begin{chunk}{defun spad-long-error} +(defun spad-long-error () + (spad-error-loc spaderrorstream) + (iostat) + (unless (equal out-stream spaderrorstream) + (spad-error-loc out-stream) + (terpri out-stream))) + +\end{chunk} + +\defun{spad-short-error}{spad-short-error} +\calls{spad-short-error}{line-past-end-p} +\calls{spad-short-error}{line-print} +\usesstruct{spad-short-error}{current-line} +\begin{chunk}{defun spad-short-error} +(defun spad-short-error () + (if (line-past-end-p Current-Line) + (format t "~&The current line is empty.~%") + (progn + (format t "~&The current line is:~%~%") + (line-print current-line)))) + +\end{chunk} + +\defun{spad-error-loc}{spad-error-loc} +\begin{chunk}{defun spad-error-loc} +(defun spad-error-loc (str) + (format str "******** Boot Syntax Error detected ********")) + +\end{chunk} + +\defun{iostat}{iostat} +\calls{iostat}{line-past-end-p} +\calls{iostat}{line-print} +\calls{iostat}{token-stack-show} +\calls{iostat}{next-lines-show} +\usesdollar{iostat}{boot} +\usesdollar{iostat}{spad} +\usesstruct{iostat}{current-line} +\begin{chunk}{defun iostat} +(defun iostat () + "Tell me what the current state of the parsing world is." + (declare (special $boot $spad)) + (if (line-past-end-p Current-Line) + (format t "~&The current line is empty.~%") + (progn + (format t "~&The current line is:~%~%") + (line-print current-line))) + (if (or $boot $spad) (next-lines-show)) + (token-stack-show) + nil) + +\end{chunk} + +\defun{next-lines-show}{next-lines-show} +\uses{next-lines-show}{boot-line-stack} +\begin{chunk}{defun next-lines-show} +(defun next-lines-show () + (declare (special boot-line-stack)) + (and boot-line-stack (format t "Currently preparsed lines are:~%~%")) + (mapcar #'(lambda (line) + (format t "~&~5D> ~A~%" (car line) (cdr Line))) + boot-line-stack)) + +\end{chunk} + +\defun{token-stack-show}{token-stack-show} +\calls{token-stack-show}{token-type} +\uses{token-stack-show}{valid-tokens} +\uses{token-stack-show}{current-token} +\uses{token-stack-show}{next-token} +\uses{token-stack-show}{prior-token} +\begin{chunk}{defun token-stack-show} +(defun token-stack-show () + (if (= valid-tokens 0) + (format t "~%There are no valid tokens.~%") + (format t "~%The number of valid tokens is ~S.~%" valid-tokens)) + (when (> valid-tokens 0) + (format t "The current token is~%") + (describe current-token)) + (when (> valid-tokens 1) + (format t "The next token is~%") + (describe next-token)) + (when (token-type prior-token) + (format t "The prior token was~%") + (describe prior-token))) + +\end{chunk} + \defun{ioclear}{ioclear} The IO state manipulation routines assume that \begin{itemize} @@ -34572,7 +35171,6 @@ \item there is a reduction stack \end{itemize} \calls{ioclear}{line-clear} -\calls{ioclear}{token-stack-clear} \calls{ioclear}{reduce-stack-clear} \uses{ioclear}{current-fragment} \uses{ioclear}{current-line} @@ -34583,7 +35181,9 @@ (declare (special current-fragment current-line $boot $spad)) (setq current-fragment nil) (line-clear current-line) - (token-stack-clear) + (token-install nil nil current-token nil) + (token-install nil nil next-token nil) + (token-install nil nil prior-token nil) (reduce-stack-clear) (if (or $boot $spad) (next-lines-clear)) nil) @@ -35860,7 +36460,7 @@ *browse-stream* *defaultdomain-list* *interp-stream* *category-stream* *hasCategory-hash* *operation-stream*)) (when (or (symbolp constructor) - (and (eq key 'hascategory) (pairp constructor))) + (and (eq key 'hascategory) (consp constructor))) (case key ; note that abbreviation, constructorkind and cosig are heavy hitters ; thus they occur first in the list of things to check @@ -36042,10 +36642,6 @@ \end{itemize} \calls{localdatabase}{sayKeyedMsg} \calls{localdatabase}{localnrlib} -\calls{localdatabase}{localasy} -\calls{localdatabase}{asharp} -\calls{localdatabase}{astran} -\calls{localdatabase}{localasy} \usesdollar{localdatabase}{forceDatabaseUpdate} \usesdollar{localdatabase}{ConstructorCache} \uses{localdatabase}{*index-filename*} @@ -36200,6 +36796,27 @@ \end{chunk} +\defun{updateDatabase}{updateDatabase} +For now in NRUNTIME do database update only if forced +\calls{updateDatabase}{constructor?} +\calls{updateDatabase}{clearClams} +\calls{updateDatabase}{clearAllSlams} +\refsdollar{updateDatabase}{forceDatabaseUpdate} +\begin{chunk}{defun updateDatabase} +(defun |updateDatabase| (fname cname systemdirp) + (declare (ignore fname)) + (declare (special |$forceDatabaseUpdate|)) + (when |$forceDatabaseUpdate| + (when (|constructor?| cname) + (|clearClams|) + (|clearAllSlams| nil) + (when (getl cname 'loaded) (|clearConstructorCaches|))) + (when (or |$forceDatabaseUpdate| (null systemdirp)) + (|clearClams|) + (|clearAllSlams| nil)))) + +\end{chunk} + \defun{make-databases}{Make new databases} Making new databases consists of: \begin{enumerate} @@ -36236,7 +36853,6 @@ constructor abbreviation to pamphlet file name. \calls{make-databases}{localdatabase} \calls{make-databases}{getEnv} -\calls{make-databases}{oldCompilerAutoloadOnceTrigger} \calls{make-databases}{browserAutoloadOnceTrigger} \calls{make-databases}{mkTopicHashTable} \calls{make-databases}{buildLibdb} @@ -36338,7 +36954,6 @@ 'make-database)) ;browse.daase (load (concatenate 'string (|getEnv| "AXIOM") "/autoload/topics")) ;; hack - (|oldCompilerAutoloadOnceTrigger|) (|browserAutoloadOnceTrigger|) (|mkTopicHashTable|) (setq |$constructorList| nil) ;; affects buildLibdb @@ -36396,6 +37011,50 @@ \end{chunk} +\defun{saveDependentsHashTable}{saveDependentsHashTable} +\calls{saveDependentsHashTable}{erase} +\calls{saveDependentsHashTable}{writeLib1} +\calls{saveDependentsHashTable}{msort} +\calls{saveDependentsHashTable}{hkeys} +\calls{saveDependentsHashTable}{rwrite} +\calls{saveDependentsHashTable}{hget} +\calls{saveDependentsHashTable}{rshut} +\refsdollar{saveDependentsHashTable}{depTb} +\refsdollar{saveDependentsHashTable}{erase} +\begin{chunk}{defun saveDependentsHashTable} +(defun |saveDependentsHashTable| () + (let (stream) + (declare (special |$depTb| $erase)) + ($erase '|dependents| 'database '|a|) + (setq stream (|writeLib1| '|dependents| 'database '|a|)) + (dolist (k (msort (hkeys |$depTb|))) + (|rwrite| k (hget |$depTb| k) stream)) + (rshut stream))) + +\end{chunk} + +\defun{saveUsersHashTable}{saveUsersHashTable} +\calls{saveUsersHashTable}{erase} +\calls{saveUsersHashTable}{writeLib1} +\calls{saveUsersHashTable}{msort} +\calls{saveUsersHashTable}{hkeys} +\calls{saveUsersHashTable}{rwrite} +\calls{saveUsersHashTable}{hget} +\calls{saveUsersHashTable}{rshut} +\refsdollar{saveUsersHashTable}{erase} +\refsdollar{saveUsersHashTable}{usersTb} +\begin{chunk}{defun saveUsersHashTable} +(defun |saveUsersHashTable| () + (let (stream) + (declare (special |$usersTb| $erase)) + ($erase '|users| 'database '|a|) + (setq stream (|writeLib1| '|users| 'database '|a|)) + (dolist (k (msort (hkeys |$usersTb|))) + (|rwrite| k (HGET |$usersTb| k) stream)) + (rshut stream))) + +\end{chunk} + \defun{DaaseName}{Construct the proper database full pathname} \calls{DaaseName}{getEnv} \usesdollar{DaaseName}{spadroot} @@ -37011,6 +37670,120 @@ nil) \end{chunk} + +\section{Lisp Library Handling} + +\defun{loadLib}{loadLib} +\calls{loadLib}{startTimingProcess} +\calls{loadLib}{getdatabase} +\calls{loadLib}{isSystemDirectory} +\calls{loadLib}{pathnameDirectory} +\calls{loadLib}{loadLibNoUpdate} +\calls{loadLib}{sayKeyedMsg} +\calls{loadLib}{namestring} +\calls{loadLib}{clearConstructorCache} +\calls{loadLib}{updateDatabase} +\calls{loadLib}{installConstructor} +\calls{loadLib}{updateCategoryTable} +\calls{loadLib}{categoryForm?} +\calls{loadLib}{remprop} +\calls{loadLib}{stopTimingProcess} +\refsdollar{loadLib}{InteractiveMode} +\refsdollar{loadLib}{printLoadMsgs} +\refsdollar{loadLib}{forceDatabaseUpdate} +\defsdollar{loadLib}{CategoryFrame} +\begin{chunk}{defun loadLib} +(defun |loadLib| (cname) + (let (fullLibName systemdir? update? kind u sig coSig) + (declare (special |$CategoryFrame| |$InteractiveMode| |$printLoadMsgs| + |$forceDatabaseUpdate|)) + (|startTimingProcess| '|load|) + (when (setq fullLibName (getdatabase cname 'object)) + (setq systemdir? (|isSystemDirectory| (|pathnameDirectory| fullLibName))) + (setq update? (or |$forceDatabaseUpdate| (null systemdir?))) + (cond + ((null update?) (|loadLibNoUpdate| cname cname fullLibName)) + (t + (setq kind (getdatabase cname 'constructorkind)) + (when |$printLoadMsgs| + (|sayKeyedMsg| 'S2IL0002 (list (|namestring| fullLibName) kind cname))) + (load fullLibName) + (|clearConstructorCache| cname) + (|updateDatabase| cname cname systemdir?) + (|installConstructor| cname kind) + (setq u (getdatabase cname 'constructormodemap)) + (|updateCategoryTable| cname kind) + (setq coSig + (when u + (setq sig (cdar u)) + (cons nil (loop for x in (cdr sig) collect (|categoryForm?| x))))) + (if (null (cdr (getdatabase cname 'constructorform))) + (setf (get cname 'niladic) t) + (remprop cname 'niladic)) + (setf (get cname 'loaded) fullLibName) + (when |$InteractiveMode| (setq |$CategoryFrame| (list (list nil)))) + (|stopTimingProcess| '|load|) + t))))) + +\end{chunk} + +\defun{isSystemDirectory}{isSystemDirectory} +\calls{isSystemDirectory}{function} +\refsdollar{isSystemDirectory}{spadroot} +\begin{chunk}{defun isSystemDirectory} +(defun |isSystemDirectory| (dir) + (declare (special $spadroot)) + (every (|function| char=) $spadroot dir)) + +\end{chunk} + +\defun{loadLibNoUpdate}{loadLibNoUpdate} +\calls{loadLibNoUpdate}{getdatabase} +\calls{loadLibNoUpdate}{sayKeyedMsg} +\calls{loadLibNoUpdate}{toplevel} +\calls{loadLibNoUpdate}{clearConstructorCache} +\calls{loadLibNoUpdate}{installConstructor} +\calls{loadLibNoUpdate}{stopTimingProcess} +\refsdollar{loadLibNoUpdate}{printLoadMsgs} +\refsdollar{loadLibNoUpdate}{InteractiveMode} +\defsdollar{loadLibNoUpdate}{CategoryFrame} +\begin{chunk}{defun loadLibNoUpdate} +(defun |loadLibNoUpdate| (cname libName fullLibName) + (declare (ignore libName)) + (let (kind) + (declare (special |$CategoryFrame| |$InteractiveMode| |$printLoadMsgs|)) + (setq kind (getdatabase cname 'constructorkind)) + (when |$printLoadMsgs| + (|sayKeyedMsg| 'S2IL0002 (list (|namestring| fullLibName) kind cname))) + (cond + ((equal (catch 'versioncheck (load fullLibName)) (- 1)) + (princ " wrong library version...recompile ") + (princ fullLibName) + (terpri) + (toplevel)) + (t + (|clearConstructorCache| cname) + (|installConstructor| cname kind) + (setf (get cname 'loaded) fullLibName) + (when |$InteractiveMode| (setq |$CategoryFrame| (list (list nil)))) + (|stopTimingProcess| '|load|))) + t)) + +\end{chunk} + +\defun{loadFunctor}{loadFunctor} +\calls{loadFunctor}{loadFunctor} +\calls{loadFunctor}{loadLibIfNotLoaded} +\begin{chunk}{defun loadFunctor} +(defun |loadFunctor| (u) + (cond + ((null (atom u)) (|loadFunctor| (car u))) + (t + (|loadLibIfNotLoaded| u) + u))) + +\end{chunk} + \chapter{Special Lisp Functions} \section{Axiom control structure macros} Axiom used various control structures in the boot code which are not @@ -37107,7 +37880,6 @@ \end{chunk} \defun{pathname}{Axiom pathnames} -\calls{pathname}{pairp} \calls{pathname}{pathname} \calls{pathname}{make-filename} \begin{chunk}{defun pathname} @@ -37115,7 +37887,7 @@ (cond ((null p) p) ((pathnamep p) p) - ((null (pairp p)) (pathname p)) + ((null (consp p)) (pathname p)) (t (when (> (|#| p) 2) (setq p (cons (elt p 0) (cons (elt p 1) nil)))) (pathname (apply #'make-filename p))))) @@ -37144,14 +37916,13 @@ \end{chunk} \defun{wrap}{wrap} -\calls{wrap}{pairp} \calls{wrap}{lotsof} \calls{wrap}{wrap} \begin{chunk}{defun wrap} (defun wrap (list-of-items wrapper) (prog nil (cond - ((or (not (pairp list-of-items)) (not wrapper)) + ((or (not (consp list-of-items)) (not wrapper)) (return list-of-items)) ((not (consp wrapper)) (setq wrapper (lotsof wrapper)))) @@ -37385,6 +38156,18 @@ \end{chunk} +\chapter{Record, Union, Mapping, and Enumeration} +\begin{chunk}{postvars} +(eval-when (eval load) + (mapcar #'(lambda (alist) + (setf (get (first alist) '|makeFunctionList|) (second alist))) + '((|Record| |mkRecordFunList|) + (|Union| |mkUnionFunList|) + (|Mapping| |mkMappingFunList|) + (|Enumeration| |mkEnumerationFunList|)))) + +\end{chunk} + \chapter{Common Lisp Algebra Support} These functions are called directly from the algebra source code. They fall into two basic categories, one are the functions that are @@ -37405,6 +38188,161 @@ written in Maclisp, then VMLisp, and then Common Lisp some of these old semantics survive. +\section{Void} +\defun{voidValue}{voidValue} +\begin{chunk}{defun voidValue} +(defun |voidValue| () "()") + +\end{chunk} + + +\section{U32Vector} +\defun{getrefv32}{getrefv32} +\begin{chunk}{defun getrefv32} +(defun getrefv32 (n x) + (make-array n :initial-element x :element-type '(unsigned-byte 32))) + +\end{chunk} + +\defmacro{qv32len} +\begin{chunk}{defmacro qv32len} +(defmacro qv32len (v) + `(length (the (simple-array (unsigned-byte 32) (*)) ,v))) + +\end{chunk} + +\defmacro{elt32} +\begin{chunk}{defmacro elt32} +(defmacro elt32 (v i) + `(aref (the (simple-array (unsigned-byte 32) (*)) ,v) ,i)) + +\end{chunk} + +\defmacro{setelt32} +\begin{chunk}{defmacro setelt32} +(defmacro setelt32 (v i s) + `(setf (aref (the (simple-array (unsigned-byte 32) (*)) ,v) ,i), s)) + +\end{chunk} + +\section{DirectProduct} +\defun{vec2list}{vec2list} +\begin{chunk}{defun vec2list} +(defun vec2list (vec) (coerce vec 'list)) + +\end{chunk} + +\section{AlgebraicFunction} +\defun{retract}{retract} +\calls{retract}{objMode} +\calls{retract}{objVal} +\calls{retract}{isWrapped} +\calls{retract}{qcar} +\calls{retract}{retract1} +\calls{retract}{objNew} +\refsdollar{retract}{EmptyMode} +\begin{chunk}{defun retract} +(defun |retract| (object) + (labels ( + (retract1 (object) + (let (type val typep tmp1 underDomain objectp) + (declare (special |$SingleInteger| |$Integer| |$NonNegativeInteger| + |$PositiveInteger|)) + (setq type (|objMode| object)) + (cond + ((stringp type) '|failed|) + (t + (setq val (|objVal| object)) + (cond + ((equal type |$PositiveInteger|) (|objNew| val |$NonNegativeInteger|)) + ((equal type |$NonNegativeInteger|) (|objNew| val |$Integer|)) + ((and (equal type |$Integer|) (typep (|unwrap| val) 'fixnum)) + (|objNew| val |$SingleInteger|)) + (t + (cond + ((or (eql 1 (|#| type)) + (and (consp type) (eq (qcar type) '|Union|)) + (and (consp type) (eq (qcar type) '|FunctionCalled|) + (and (consp (qcdr type)) (eq (qcddr type) nil))) + (and (consp type) (eq (qcar type) '|OrderedVariableList|) + (and (consp (qcdr type)) (eq (qcddr type) nil))) + (and (consp type) (eq (qcar type) '|Variable|) + (and (consp (qcdr type)) (eq (qcddr type) nil)))) + (if (setq objectp (|retract2Specialization| object)) + objectp + '|failed|)) + ((null (setq underDomain (|underDomainOf| type))) + '|failed|) + ; try to retract the "coefficients", e.g. P RN -> P I or M RN -> M I + (t + (setq objectp (|retractUnderDomain| object type underDomain)) + (cond + ((nequal objectp '|failed|) objectp) + ; see if we can use the retract functions + ((setq objectp (|coerceRetract| object underDomain)) objectp) + ; see if we have a special case here + ((setq objectp (|retract2Specialization| object)) objectp) + (t '|failed|))))))))))) + (let (type val ans) + (declare (special |$EmptyMode|)) + (setq type (|objMode| object)) + (cond + ((stringp type) '|failed|) + ((equal type |$EmptyMode|) '|failed|) + (t + (setq val (|objVal| object)) + (cond + ((and (null (|isWrapped| val)) + (null (and (consp val) (eq (qcar val) 'map)))) + '|failed|) + (t + (cond + ((eq (setq ans (retract1 (|objNew| val type))) '|failed|) + ans) + (t + (|objNew| (|objVal| ans) (|objMode| ans))))))))))) + +\end{chunk} + +\section{Any} +\defun{spad2BootCoerce}{spad2BootCoerce} +\begin{chunk}{defun spad2BootCoerce} +(defun |spad2BootCoerce| (x source target) + (let (xp) + (cond + ((null (|isValidType| source)) (|throwKeyedMsg| 'S2IE0004 (list source))) + ((null (|isValidType| target)) (|throwKeyedMsg| 'S2IE0004 (list target))) + ((setq xp (|coerceInteractive| (|objNewWrap| x source) target)) + (|objValUnwrap| xp)) + (t + (|throwKeyedMsgCannotCoerceWithValue| (|wrap| x) source target))))) + +\end{chunk} + +\section{ParametricLinearEquations} +\defun{algCoerceInteractive}{algCoerceInteractive} +\begin{chunk}{defun algCoerceInteractive} +(defun |algCoerceInteractive| (p source target) + (let (|$useConvertForCoercions| u) + (declare (special |$useConvertForCoercions|)) + (setq |$useConvertForCoercions| t) + (setq source (|devaluate| source)) + (setq target (|devaluate| target)) + (setq u (|coerceInteractive| (|objNewWrap| p source) target)) + (if u + (|objValUnwrap| u) + (|error| (list "can't convert" p "of mode" source "to mode" target))))) + +\end{chunk} + +\section{NumberFormats} +\defun{ncParseFromString}{ncParseFromString} +\begin{chunk}{defun ncParseFromString} +(defun |ncParseFromString| (s) + (|zeroOneTran| (catch 'SPAD_READER (|parseFromString| s)))) + +\end{chunk} + \section{SingleInteger} \defun{qsquotient}{qsquotient} \begin{chunk}{defun qsquotient 0} @@ -37659,6 +38597,178 @@ \end{chunk} +\defun{compiledLookup}{compiledLookup} +\calls{compiledLookup}{isDomain} +\calls{compiledLookup}{NRTevalDomain} +\begin{chunk}{defun compiledLookup} +(defun |compiledLookup| (op sig dollar) + (unless (|isDomain| dollar) (setq dollar (|NRTevalDomain| dollar))) + (|basicLookup| op sig dollar dollar)) + +\end{chunk} + +\defun{basicLookup}{basicLookup} +\calls{basicLookup}{spadcall} +\calls{basicLookup}{hashCode?} +\calls{basicLookup}{opIsHasCat} +\calls{basicLookup}{HasCategory} +\calls{basicLookup}{hashType} +\calls{basicLookup}{hashString} +\calls{basicLookup}{error} +\calls{basicLookup}{vecp} +\calls{basicLookup}{isNewWorldDomain} +\calls{basicLookup}{oldCompLookup} +\calls{basicLookup}{lookupInDomainVector} +\refsdollar{basicLookup}{hashSeg} +\refsdollar{basicLookup}{hashOpSet} +\refsdollar{basicLookup}{hashOpApply} +\refsdollar{basicLookup}{hashOp0} +\refsdollar{basicLookup}{hashOp1} +\begin{chunk}{defun basicLookup} +(defun |basicLookup| (op sig domain dollar) + (let (hashPercent box dispatch lookupFun hashSig val boxval) + (declare (special |$hashSeg| |$hashOpSet| |$hashOpApply| |$hashOp0| + |$hashOp1|)) + (cond + ((vecp domain) + (if (|isNewWorldDomain| domain) + (|oldCompLookup| op sig domain dollar) + (|lookupInDomainVector| op sig domain dollar))) + (t + (setq hashPercent + (if (vecp dollar) + (|hashType| (elt dollar 0) 0) + (|hashType| dollar 0))) + (setq box (cons nil nil)) + (cond + ((null (vecp (setq dispatch (car domain)))) + (|error| '|bad domain format|)) + (t + (setq lookupFun (elt dispatch 3)) + (cond + ((eql (elt dispatch 0) 0) + (setq hashSig + (cond + ((|hashCode?| sig) sig) + ((|opIsHasCat| op) (|hashType| sig hashPercent)) + (t (|hashType| (cons '|Mapping| sig) hashPercent)))) + (when (symbolp op) + (cond + ((eq op '|Zero|) (setq op |$hashOp0|)) + ((eq op '|One|) (setq op |$hashOp1|)) + ((eq op '|elt|) (setq op |$hashOpApply|)) + ((eq op '|setelt|) (setq op |$hashOpSet|)) + (t (setq op (|hashString| (symbol-name op)))))) + (cond + ((setq val + (car + (spadcall (cdr domain) dollar op hashSig box nil lookupFun))) + val) + ((|hashCode?| sig) nil) + ((or (> (|#| sig) 1) (|opIsHasCat| op)) nil) + ((setq boxval + (spadcall (cdr dollar) dollar op + (|hashType| (car sig) hashPercent) + box nil lookupFun)) + (cons #'identity (car boxval))) + (t nil))) + ((|opIsHasCat| op) (|HasCategory| domain sig)) + (t + (when (|hashCode?| op) + (cond + ((eql op |$hashOp1|) (setq op '|One|)) + ((eql op |$hashOp0|) (setq op '|Zero|)) + ((eql op |$hashOpApply|) (setq op '|elt|)) + ((eql op |$hashOpSet|) (setq op '|setelt|)) + ((eql op |$hashSeg|) (setq op 'segment)))) + (cond + ((and (|hashCode?| sig) (eql sig hashPercent)) + (spadcall + (car (spadcall (cdr dollar) dollar op '($) box nil lookupFun)))) + (t + (car + (spadcall (cdr dollar) dollar op sig box nil lookupFun)))))))))))) + +\end{chunk} + +\defun{lookupInDomainVector}{lookupInDomainVector} +\calls{lookupInDomainVector}{basicLookupCheckDefaults} +\calls{lookupInDomainVector}{spadcall} +\begin{chunk}{defun lookupInDomainVector} +(defun |lookupInDomainVector| (op sig domain dollar) + (if (consp domain) + (|basicLookupCheckDefaults| op sig domain domain) + (spadcall op sig dollar (elt domain 1)))) + +\end{chunk} + +\defun{basicLookupCheckDefaults}{basicLookupCheckDefaults} +\calls{basicLookupCheckDefaults}{vecp} +\calls{basicLookupCheckDefaults}{error} +\calls{basicLookupCheckDefaults}{hashType} +\calls{basicLookupCheckDefaults}{hashCode?} +\calls{basicLookupCheckDefaults}{hashString} +\calls{basicLookupCheckDefaults}{spadcall} +\refsdollar{basicLookupCheckDefaults}{lookupDefaults} +\begin{chunk}{defun basicLookupCheckDefaults} +(defun |basicLookupCheckDefaults| (op sig domain dollar) + (declare (ignore domain)) + (let (box dispatch lookupFun hashPercent hashSig) + (declare (special |$lookupDefaults|)) + (setq box (cons nil nil)) + (cond + ((null (vecp (setq dispatch (car dollar)))) + (|error| '|bad domain format|)) + (t + (setq lookupFun (elt dispatch 3)) + (cond + ((eql (elt dispatch 0) 0) + (setq hashPercent + (if (vecp dollar) + (|hashType| (elt dollar 0) 0) + (|hashType| dollar 0))) + (setq hashSig + (if (|hashCode?| sig) + sig + (|hashType| (cons '|Mapping| sig) hashPercent))) + (when (symbolp op) (setq op (|hashString| (symbol-name op)))) + (car (spadcall (cdr dollar) dollar op hashSig + box (null |$lookupDefaults|) lookupFun))) + (t + (car (spadcall (cdr dollar) dollar op sig box + (null |$lookupDefaults|) lookupFun)))))))) + +\end{chunk} + +\defun{oldCompLookup}{oldCompLookup} +\calls{oldCompLookup}{lookupInDomainVector} +\defsdollar{oldCompLookup}{lookupDefaults} +\begin{chunk}{defun oldCompLookup} +(defun |oldCompLookup| (op sig domvec dollar) + (let (|$lookupDefaults| u) + (declare (special |$lookupDefaults|)) + (setq |$lookupDefaults| nil) + (cond + ((setq u (|lookupInDomainVector| op sig domvec dollar)) + u) + (t + (setq |$lookupDefaults| t) + (|lookupInDomainVector| op sig domvec dollar))))) + +\end{chunk} + +\defun{NRTevalDomain}{NRTevalDomain} +\calls{NRTevalDomain}{qcar} +\calls{NRTevalDomain}{eval} +\calls{NRTevalDomain}{evalDomain} +\begin{chunk}{defun NRTevalDomain} +(defun |NRTevalDomain| (form) + (if (and (consp form) (eq (qcar form) 'setelt)) + (|eval| form) + (|evalDomain| form))) + +\end{chunk} + \section{Plot3d} We catch numeric errors and throw a different failure than normal. The trapNumericErrors macro will return a pair of the the form @@ -38588,6 +39698,1971 @@ \end{chunk} +\chapter{OpenMath} +\section{A Technical Overview\cite{4}} + +OpenMath is a standard for representing mathematical data in as +unambiguous a way as possible. It can be used to exchange mathematical +objects between software packages or via email, or as a persistent +data format in a database. It is tightly focussed on representing +semantic information and is not intended to be used directly for +presentation, although tools exist to facilitate this. + +The original motivation for OpenMath came from the Computer Algebra +community. Computer Algebra packages were getting bigger and more +unwieldy, and it seemed reasonable to adopt a generic "plug and play" +architecture to allow specialised programs to be used from general +purpose environments. There were plenty of mechanisms for connecting +software components together, but no common format for representing +the underlying data objects. It quickly became clear that any standard +had to be vendor-neutral and that objects encoded in OpenMath should +not be too verbose. This has led to the design outlined below. + +In 1998, the Worldwide Web Consortium (W3C) produced its first +recommendation for the Extensible Markup Language (XML), intended to +be a universal format for representing structured information on the +worldwide web. It was swiftly followed by the first MathML +recommendation which is an XML application oriented mainly towards the +presentation (i.e. the rendering) of mathematical expressions. + +The formal definition of OpenMath is contained within The OpenMath +Standard and its accompanying documents, and the reader is referred +there for more details. + +\subsection{The OpenMath Architecture} + +The OpenMath representation of a mathematical structure is referred to +as an OpenMath object. This is an abstract structure which is +represented concretely via an OpenMath encoding. These encoded objects +are what an OpenMath application would read and write, and in practice +the OpenMath objects themselves almost never exist, except on +paper. The advantage of this is that OpenMath is not tied to any one +underlying mechanism: in the past we have used functional, SGML and +binary encodings. The current favourite is XML, as described below, +and we will tend to use XML notation when describing OpenMath objects +(even though strictly speaking the XML representation is an encoding). +OpenMath Objects + +Formally, an OpenMath object is a labelled tree whose leaves are the +basic OpenMath objects integers, IEEE double precision floats, unicode +strings, byte arrays, variables or symbols. Of these, symbols are the +most interesting since they consist of a name and a reference to a +definition in an external document called a content dictionary (or +CD). Using XML notation where the element name OMS indicates an +OpenMath symbol, the following: +\begin{verbatim} + +\end{verbatim} +represents the usual sine function, as defined in the CD "transc1". A +basic OpenMath object is an OpenMath object, although its XML +representation will be: +\begin{verbatim} + + + +\end{verbatim} + +OpenMath objects can be built up recursively in a number of ways. The +simplest is function application, for example the expression sin(x) +can be represented by the XML: +\begin{verbatim} + + + + + + +\end{verbatim} +where OMV introduces a variable and OMA is the application +element. Another straightforward method is attribution which as the +name suggests can be used to add additional information (for example +"the AXIOM command which generated me was ...") to an object without +altering its fundamental meaning. More interesting are binding objects +which are used to represent an expression containing bound variables, +for example: +\begin{verbatim} + + + + + + +\end{verbatim} +represents the integral of the sin function, but the encoding: +\begin{verbatim} + + + + + + + + + + + + + +\end{verbatim} +represents ∫sin(x)dx. This may appear overly complicated but it is +useful, for example when searching in a database for expressions which +match ∫sin(y)dy . The definition of a symbol in the CD specifies +whether or not it may be used to bind variables, which is why +\begin{verbatim} + +\end{verbatim} +cannot be used as a binding symbol. + +The final kind of OpenMath object is an error which is built up from a +symbol describing the error and a sequence of OpenMath objects. For +example: +\begin{verbatim} + + + + + + +\end{verbatim} +represents the error which might be generated when an application sees +a symbol it doesn't recognise from a CD it thought it knew about. + +\subsection{OpenMath Encodings} + +We have already seen some examples of the XML encoding, but it is by +no means the only encoding. In the past there was a functional +encoding (which looked like Lisp) and an SGML encoding which evolved +into the current XML. Both of these are now obsolete, but there is +still a binary encoding described in the standard , which is much more +compact than the XML one. + +In fact the XML encoding is not \verb|100%| XML. When XML was in its infancy +the developers of OpenMath realised that it might become significant +and decided to add some XML-like features to the SGML encoding so that +an an OpenMath object could be encoded as valid XML. Thus it is +currently the case that any well-formed OpenMath object encoded using +the XML encoding as described in the standard is a valid XML +document. However, if one uses standard XML tools to generate an +OpenMath object in the XML encoding from the DTD given in chapter 4 of +the standard, it is possible that the result will not be valid +OpenMath, although in practice this is highly unlikely. To cover all +the possibilities allowed by XML would make it much more complicated +to write an application to read any OpenMath object from +scratch. Whether to adopt XML completely remains a hot topic of debate +within the OpenMath community! + +Generally speaking, it is not intended that the existing encodings +should be readable by a human user or writable by hand. It is +desirable that they be compact and it is also desirable that they be +linear, but neither of these is a requirement. It is a property of +encodings that it is possible to convert between them with no loss of +information. + +\subsection{Content Dictionaries} + +Content Dictionaries (or CDs for short) are the most important, and +the most interesting, aspect of OpenMath because they define the +meaning of the objects being transmitted. A CD is a collection of +related symbols and their definitions, encoded in an XML +format. Defining the meaning of a symbol is not a trivial task, and +even referring to well-known references can be fraught with pitfalls +Formal definitions and properties can be very useful but +time-consuming to produce and verbose, not to mention difficult to get +right. A symbol definition in an OpenMath CD consists of the following +pieces of information: +\begin{verbatim} + the symbol name; + a description in plain text; + optionally, a set of this symbol's properties in plain text + (Commented Mathematical Properties, or CMPs); + optionally, a set of this symbol's properties encoded in OpenMath + (Formal Mathematical Properties, or FMPs); + optionally, one or more examples of its use (encoded in OpenMath). +\end{verbatim} +In practice the CMPs and FMPs can come as pairs, and often serve in +the place of examples. + +A very simple instance of a CD definition is: +\begin{verbatim} + + log + + +This symbol represents a binary log function; the first argument is +the base, to which the second argument is log'ed. +It is defined in Abramowitz and Stegun, Handbook of Mathematical +Functions, section 4.1 + + + a^b = c implies log_a c = b + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +log 100 to base 10 (which is 2). + + + + + + + + + + +\end{verbatim} + +Another example would be to print the list +\begin{verbatim} + [ 1, 1/2 ] +\end{verbatim} +as +\begin{verbatim} + + + + 1 + + + 1 + 2 + + + +\end{verbatim} + +This provides a symbol to represent the log function by giving a +pointer to a standard reference book. It provides the property that: +\[ a^b=c \rightarrow log_a(c)=b \] +both as plain text and as OpenMath, and also gives an example of how +the symbol is used. + +CDs usually consist of related symbols and collections of related CDs +can be grouped together, for convenience, as CD Groups. One very +important CD Group is that corresponding to the content part of +MathML. + +It is possible to associate extra information with CDs, in particular +type information. Since there are many type systems available, each of +which has its own strengths and advocates, the OpenMath community does +not mandate any single system. Simple signatures can be encoded using +the Simple Type System, while more formal definitions are possible +using the Extended Calculus of Constructorss. Other associated +information can include style sheets for rendering OpenMath symbols in +MathML, and mathematical definitions to be used by formal logic +systems. + +Given the evolutionary nature of mathematics, it is clear that the set +of CDs should be forever growing and never complete. Currently there +are CDs for high-school mathematics, linear algebra, polynomials and +group theory to name a few, and new contributions are always +welcome. There is no requirement that applications use the standard +set of CDs and it is often very useful to design a "private" CD for a +specific purpose. + +\subsection{OpenMath in Action} + +There is no definitive way in which OpenMath should be used, as the +protocol has been designed to be as flexible as possible. Nevertheless +many OpenMath applications share common characteristics which we shall +discuss here. + +Suppose that we wish to have two applications communicating by sending +OpenMath objects to each other, e.g. a client program and a +computational server. It is unlikely that the internal data structures +used by the applications will be OpenMath, and so translation between +the internal representations and OpenMath (almost certainly OpenMath +encodings rather than objects) will have to take place. The piece of +software which does this is usually referred to as a phrase-book. + +It is possible to write a generic phrase-book which can handle any +piece of OpenMath, but applications where this makes sense are few and +far between. In practice an OpenMath phrase book will usually only +handle a fixed set of CDs (and hence a fixed set of symbols). What +``handle'' means will vary from case to case: a computer algebra system +will usually try and evaluate its input and return a result or an +error, while a typesetter will print its input according to some +rendering rules and not return anything. OpenMath carefully avoids +defining what the ``right'' behaviour is in a given circumstance, and +leaves that up to the phrase-book writer. Indeed it is quite possible +that a piece of software could have multiple phrase-books associated +with it for different purposes. OpenMath symbols should not be +regarded as verbs since they are used to construct objects rather than +to send commands, and the presence of both nouns and verbs in a CD +(e.g. ``integral'' and ``integrate'') is strongly discouraged. + +Writing a phrase-book may be non-trivial, and requires an +understanding of the semantics of the underlying software. An OpenMath +object may not map directly into a private object and vice-versa, for +example in some systems a rational number might have to be represented +by a float, or a sparse matrix by a dense one. + +The OpenMath standard includes a section on compliance, which +describes the behaviour of an OpenMath application when certain errors +occur. It also insists that all compliant software has the capability +to use the XML encoding, to guarantee a degree of interoperability. +This is an area where the standard is expected to evolve as more +OpenMath applications become available. + +\section{Technical Details\cite{3}} + +This chapter describes the Axiom implementation of the OpenMath project +at INRIA \cite{3}. The code enables the exchange of OpenMath objects +between two processes and more generally the input and output of OpenMath +objects. First we describe the library API and then we implement the +functions used by Axiom. +\section{The Structure of the API} +The library and its API are logically structured in four parts: +\begin{itemize} +\item Functions that deal with {\sl devices}, the abstraction +from which OpenMath objects are read and written to. +\item Functions that read from and write to OpenMath devices. These functions +use a simple model that read and write tokens. +\item Functions that create I/O structures to be used by devices, so that, +for example, an OpenMath object can be read from a file or a socket. This part +is extensible by the user. +\item Functions that deal with interprocess communication. +\end{itemize} + +\section{OpenMath Expressions} + +\subsection{Expressions} + +The library understands the following kinds of basic OpenMath expressions: +\begin{itemize} +\item integers +\item double precision floating-point numbers (64 bits, following IEEE 754) +\item byte arrays +\item character strings +\item symbols +\item variables +\end{itemize} +and the four kinds of constructions: +\begin{itemize} +\item applications $e_0(e_1, \ldots e_n)$ +\item errors $s(e_1, \ldots e_n)$ +\item binders $e_1, (v_1, \ldots v_n), e_2 $ +\item attributed expressions $[s_1 e_1, \ldots s_n e_n] e$ +\end{itemize} +where $e_i$ are OpenMath expressions, $v_i$ are OpenMath variables and $s$ and +$s_i$ are OpenMath symbols. + +\subsection{Symbols} + +Symbols are constructed from a content dictionary (abbreviated as CD +in the sequel) and a name. A content dictionary is identified by its +name. The API permits the creation of any symbol in any content +dictionary: there is nothing that prevents creating symbols that do +not belong to a known CD. + +\subsection{Encoding and Decoding OpenMath Expressions} + +An OpenMath object is encoded as a sequence of bytes that is read and +written sequentially. The library views this sequence as a stream of +tokens. Expressions are linearized in a way that looks like Lisp with +typed parenthesis. For example, the linearization of the application +of $S$ to $E_1\ldots E_n$ is: +\begin{itemize} +\item indicating that this is an application (a ``begin application'' token) +\item linearizing $S$ +\item linearizing $E_1$,\ldots $E_n$ +\item indicating that all arguments have been given (an ``end application'' +token) +\end{itemize} + +The other constructions are linearized the same way (each one with its +own begin and end tokens). Note that there is no explicit arity +indication so that we don't have to introduce a special mechanism when +we don't know beforehand how many arguments there are. + +To give attributes to an expression, the attributes and their +associated values are put before the expression. To give the +attributes $a_i$ with values $v_i$ (where $a_i$ are symbols and $v_i$ +are OpenMath expressions) to an expression $E$ the process is: +\begin{itemize} +\item put a ``begin attributed expression'' token +\item put a ``begin attribute pairs'' token +\item put the symbol $a_1$ followed by the linearization of $v_1$ {\sl etc} +\item put an ``end attribute pairs'' token +\item linearize $E$ +\item put an ``end attributed expression'' token + +\end{itemize} + +Decoding is done by first querying the type of the next OpenMath token and +then invoking the right function to get this particular kind of token. + +\section{Big Integers} + +The library supports big integers that can potentially be given in +various formats. The {\tt OMBigIntType} describes the different +possible formats. +\begin{verbatim} +typedef enum OMbigIntType { + OMBIunknown = 0, /* this is base 10, digits in normal order */ + OMBIbase10 /* this is base 16, digits in normal order (MSB) */ + OMbigIntBase16 +} OMbigIntType; +\end{verbatim} + +\section{Functions Dealing with OpenMath Devices} + +OpenMath expressions are read and written through {\sl devices}. +Basically, an OpenMath device has an associated encoding and an I/O +method. There are basically two encodings defined and implemented. +The first one is a human readable and writable one that can be used +for example as the encoding for sending OpenMath objects via e-mail or +storing OpenMath objects to files. This encoding is SGML compatible +in the sense that it can be used to represent OpenMath objects in SGML +texts. I has an XML variant. The second encoding is a binary one that +can be used when compactness and speed of encoding and decoding is +important. The encodings are defined by the {\tt OMencodingType} type +which is an enumerated type defined as +\begin{verbatim} +typedef enum OMencodingType + { OMencodingUnknown, + OMencodingBinary, + OMencodingSGML, + OMencodingXML} OMencodingType; +\end{verbatim} +{\tt OMencodingUnknown} is to be used when creating a device that does not +know which kind of encoding will be used. It must be used only for input +devices. + +A device is created with the following function, given an encoding and +an appropriate I/O method: +\begin{itemize} +\item {\tt OMdev OMmakeDevice(OMencodingType encoding, OMIO IO)} +\end{itemize} +Devices are closed with the following function +\begin{itemize} +\item {\tt void OMcloseDevice(OMdev dev)} +\end{itemize} + +Whether a device could be used both for reading and writing is entirely +dependent on its I/O method. + +The user can define its own I/O method as a function returning +an {\tt OMIO} object. This could enable him, for example, to use an +existing transport protocol to exchange OpenMath expressions or to implement +cut-and-paste of OpenMath expression by writing I/O structures that input and +output to strings. The I/O section describes the available I/O structures in +the library. + +An {\tt OMdev} object is a pointer to a structure that contains a lot +of state. Almost all functions taking an {\tt OMdev} object modify +it. Likewise, an {\tt OMIO} object carries a lot of state. + +\section{Functions to Write OpenMath Expressions to Devices} + +\subsection{Beginning and Ending Objects} + +The following two functions mark the beginning and end of an OpenMath object. +\begin{itemize} +\item \verb+OMstatus OMputObject(OMdev dev)+ +\item \verb+OMstatus OMputEndObject(OMdev dev)+ +\end{itemize} +These functions should be called before and after an OpenMath object +in constructed in a device. In particular, the \verb+OMputEndObject+ +function insures that the object has been completely written if any +buffering was used. + +\subsection{Writing Basic Objects} + +Basic OpenMath objects are written using these functions: +\begin{itemize} +\item \verb+OMstatus OMputInt32(OMdev dev, int n)+ +\item +\begin{verbatim} +OMstatus OMputBigInt(OMdev dev, const char *data, int len, int sign, + OMbigIntType format) +\end{verbatim} +\item \verb+OMstatus OMputFloat64(OMdev dev, double *f)+ +\item \verb+OMstatus OMputByteArray(OMdev dev, const char *data, int len)+ +\item \verb+OMstatus OMputString(OMdev dev, const char *s)+ +\item \verb+OMstatus OMputVar(OMdev dev, const char *name)+ +\item \verb+OMstatus OMputSymbol(OMdev dev, const char *cd, const char *name)+ +\end{itemize} + +The {\tt char *} arguments of {\tt OMputString}, {\tt OMputVar} and {\tt +OMputSymbol} are null-terminated strings. There are other functions that +accept non null-terminated arrays of characters with their length. +These are +\begin{itemize} +\item \verb+OMstatus OMputStringN(OMdev dev, const char *str, int len)+ +\item \verb+OMstatus OMputVarN(OMdev dev, const char *var, int len)+ +\item +\begin{verbatim} +OMstatus OMputSymbolN(OMdev dev, const char *cd, int clen, + const char *name, int nlen) +\end{verbatim} +\end{itemize} + +The format for the {\tt data} argument of the {\tt OMputBigInt} function is +given by {\tt format}. When {\tt format} is {\tt OMBIbase10}, it is the +sequence of character of its base 10 representation without sign (most +significant digit first). The sign of the big integer is given by the +{\tt sign} argument that should be an integer greater or +equal to zero for a positive integer and less than zero for a negative +one. For example, the following line outputs the value of $20!$ to {\tt dev}: +\begin{verbatim} +OMputBigInt(dev, "265252859812191058636308480000000", 33, 1, OMBIbase10); +\end{verbatim} + +\subsection{Writing Structured Objects} + +The following functions are used to mark the beginning and end of the +structured objects. They should be called in nested pairs, correctly +bracketed: +\begin{itemize} +\item \verb+OMstatus OMputApp(OMdev dev)+ +\item \verb+OMstatus OMputEndApp(OMdev dev)+ +\item \verb+OMstatus OMputAttr(OMdev dev)+ +\item \verb+OMstatus OMputEndAttr(OMdev dev)+ +\item \verb+OMstatus OMputBind(OMdev dev)+ +\item \verb+OMstatus OMputEndBind(OMdev dev)+ +\item \verb+OMstatus OMputBVar(OMdev dev)+ +\item \verb+OMstatus OMputEndBVar(OMdev dev)+ +\item \verb+OMstatus OMputAtp(OMdev dev)+ +\item \verb+OMstatus OMputEndAtp(OMdev dev)+ +\item \verb+OMstatus OMputError(OMdev dev)+ +\item \verb+OMstatus OMputEndError(OMdev dev)+ +\end{itemize} + +Here is an example showing how to use these functions to output $\sin x + y$, +where $x$ and $y$ are represented as variables and $\sin$ is the symbol whose +name is {\tt sin} in the {\tt Basic} content dictionary. This can be done +using the following sequence: +\begin{verbatim} +OMputObject(dev); +OMputApp(dev); + OMputSymbol(dev, "Basic", "sin"); + OMputApp(dev) + OMputSymbol(dev, "Basic", "+"); + OMputVar(dev, "x"); + OMputVar(dev, "y"); + OMputEndApp(dev); +OMputEndApp(dev); +OMputEndObject(dev); +\end{verbatim} + +\section{Functions to Extract OpenMath Expressions from Devices} + +\subsection{Testing the type of the current token} + +The first step in decoding an expression from a device is to call the +{\tt OMgetType} function +\begin{itemize} +\item \verb+OMstatus OMgetType(OMdev dev, OMtokenType *type)+ +\end{itemize} +so that the correct function can be called to recover the current token. + +{\tt OMgetType} returns via its {\tt type} argument an {\tt OMtokenType} +object indicating the type of the next object to be read from the device. +{\tt OMtokenType} is an enumerated type defined as +\begin{verbatim} +typedef enum OMtokenType { + OMtokenUnknown, /* error catching trick */ + OMtokenInt32, + OMtokenBigInt, + OMtokenFloat64, + OMtokenByteArray, + OMtokenVar, + OMtokenString, + OMtokenSymbol, + OMtokenComment, + OMtokenApp, OMtokenEndApp, + OMtokenAttr, OMtokenEndAttr, + OMtokenAtp, OMtokenEndAtp, + OMtokenError, OMtokenEndError, + OMtokenObject, OMtokenEndObject, + OMtokenBind, OMtokenEndBind, + OMtokenBVar, OMtokenEndBVar, +} OMtokenType; +\end{verbatim} +Note that the type of the current token can be tested multiple times. Two +successive calls to {\tt OMgetType} will always return the same result if no +other {\tt OMget...} function was called in between. + +\subsection{Extracting the current token} + +\noindent +The following functions are used to read the basic OpenMath objects from +devices: +\begin{itemize} +\item \verb+OMstatus OMgetInt32(OMdev dev, int *i)+ +\item \verb+OMstatus OMgetFloat64(OMdev dev, double *d)+ +\item +\begin{verbatim} +OMstatus OMgetBigInt(OMdev dev, char **data, int *len, int *sign, + OMbigIntType *fmt) +\end{verbatim} +\item +\begin{verbatim} +OMstatus OMgetBigIntN(OMdev dev, char *data, int len, int *sign, + OMbigIntType *fmt) +\end{verbatim} +\item \verb+OMstatus OMgetByteArray(OMdev dev, char **data, int *len)+ +\item \verb+OMstatus OMgetByteArrayN(OMdev dev, char *data, int len)+ +\item \verb+OMstatus OMgetString(OMdev dev, char **str)+ +\item \verb+OMstatus OMgetStringN(OMdev dev, char *str, int len)+ +\item \verb+OMstatus OMgetVar(OMdev dev, char **var)+ +\item \verb+OMstatus OMgetVarN(OMdev dev, char *var, int len)+ +\item \verb+OMstatus OMgetSymbol(OMdev dev, char **cd, char **name)+ +\item +\begin{verbatim} +OMstatus OMgetSymbolN(OMdev dev, char *cd, int clen, char *name, int nlen) +\end{verbatim} +\end{itemize} +The functions that return variable size data exist in two versions. A simple +version that does the necessary memory allocation itself +(using {\tt OMmalloc}) and a +version (suffixed with {\tt N}) that lets the user do the allocation itself. +The size of the needed area can be determined with the following function: +\begin{itemize} +\item \verb+int OMgetLength(OMdev dev)+ returns the length of the next +object. +\end{itemize} +that works for big integers, byte arrays, strings and variables. For symbols, +the following function returns both the length of the content dictionary name +and the length of the symbol name: +\begin{itemize} +\item \verb+OMstatus OMgetSymbolLength(OMdev dev, int *clen, int *nlen)+ +\end{itemize} + +When the current token does not carry any data i.e. when +{\tt OMgetType} returns a marker, i.e. one of: +\begin{itemize} +\item {\tt OMtokenApp}, +\item {\tt OMtokenEndApp}, +\item {\tt OMtokenAttr}, +\item {\tt OM tokenEndAttr}, +\item {\tt OMtokenAtp}, +\item {\tt OMtokenEndAtp}, +\item {\tt OMtokenError}, +\item {\tt OMtokenEndError}, +\item {\tt OMtokenObject}, +\item {\tt OMtokenEndObject}, +\item {\tt OMtokenBind}, +\item {\tt OMtokenEndBind}, +\item {\tt OMtokenBVar} +\item {\tt OMtokenEndBVar} +\end{itemize} +it is necessary to call the correct function to remove the marker. The +available functions are + +\begin{itemize} +\item \verb+OMstatus OMgetObject(OMdev dev)+ +\item \verb+OMstatus OMgetEndObject(OMdev dev)+ +\item \verb+OMstatus OMgetApp(OMdev dev)+ +\item \verb+OMstatus OMgetEndApp(OMdev dev)+ +\item \verb+OMstatus OMgetAttr(OMdev dev)+ +\item \verb+OMstatus OMgetEndAttr(OMdev dev)+ +\item \verb+OMstatus OMgetAtp(OMdev dev)+ +\item \verb+OMstatus OMgetEndAtp(OMdev dev)+ +\item \verb+OMstatus OMgetBind(OMdev dev)+ +\item \verb+OMstatus OMgetEndBind(OMdev dev)+ +\item \verb+OMstatus OMgetBVar(OMdev dev)+ +\item \verb+OMstatus OMgetEndBVar(OMdev dev)+ +\item \verb+OMstatus OMgetError(OMdev dev)+ +\item \verb+OMstatus OMgetEndError(OMdev dev)+ +\end{itemize} + +All the previous functions return {\tt OMsuccess} when they succeed. When +they return something else, there has been a problem such as calling the +wrong function ({\tt OMgetApp} when there is not a ``beginning of +application'' mark) or a system error. + +The sequence of calls to read an expression is thus completely similar +(if we omit the calls to {\tt OMgetType}) to the sequence of calls to +write the expression. For example, the previous expression ($\sin x + y$) +can be recovered via the sequence: +\begin{verbatim} +OMgetObject(dev); +OMgetApp(dev); + OMgetSymbol(dev, ...); + OMgetApp(dev); + OMgetSymbol(dev, ...); + OMgetVar(dev, ...); + OMgetVar(dev, ...); + OMgetEndApp(dev); +OMgetEndApp(dev); +OMgetEndObject(dev); +\end{verbatim} + +\verb+OMgetInt32(OMdev dev, int *i)+ returns the integer through its {\tt i} +argument. + +\begin{verbatim} +OMgetBigInt(OMdev dev, char **data, int *len, int *sign, OMbigIntType *fmt) +\end{verbatim} +returns the data corresponding to the big integer in {\tt data}, its length +in {\tt len}, its sign in {\tt sign} and its format in {\tt fmt}. + +\begin{verbatim} +OMgetBigIntN(OMdev dev, char *data, int len, int *sign, OMbigIntType *fmt) +\end{verbatim} +copies the data corresponding to the big integer in {\tt data} buffer that +should be (at least) {\tt len} characters long. The sign and format are +returned in the {\tt sign} and {\tt fmt} arguments. + +\verb+OMgetByteArray(OMdev dev, char **data, int *len)+ returns the byte +array through its {\tt data} argument. Its length is returned via the +{\tt len} argument. + +\verb+OMgetByteArrayN(OMdev dev, char *data, int len)+ copies the byte array +in the {\tt data} buffer that should be (at least) {\tt len} characters +long. + +\verb+OMgetString(OMdev dev, char **str)+ returns the string trough its +{\tt str} argument. + +\verb+OMgetStringN(OMdev dev, char *str, int len)+ copies the string +in the {\tt str} buffer whose length should be (at least) {\tt len}. +If {\tt len} is greater than the actual length of the string, a null +character is added at the end of {\tt str}. + +\verb+OMgetVar(OMdev dev, char **var)+ returns the name of the +variable (as a null-terminated string) in its {\tt var} argument + +\verb+OMgetVarN(OMdev dev, char *var, int len)+ copies the name of the +variable in the {\tt var} buffer, whose length should be (at least) +{\tt len}. +If {\tt len} is greater than the actual length of the variable name, a null +character is added at the end of {\tt var}. + +\verb+OMgetSymbol(OMdev dev, char **cd, char **name)+ returns the content +dictionary and the name of the symbol through the {\tt cd} and {\tt name} +arguments. + +\verb+OMgetSymbolN(OMdev dev, char *cd, int clen, char *name, int nlen)+ +copies the content dictionary and the name of the symbols in the {\tt cd} and +{\tt name} buffers. {\tt cd} should be at least {\tt clen} character long and +{\tt name} should be at least {\tt nlen} long. When there is enough room +(based on {\tt clen} or {\tt nlen}) a null character is added after the last +character of the name ({\tt cd} or {\tt name}). + +\section{Comments in the SGML/XML Encodings} + +The library can also output and read comments (SGML/XML comments) with the +following functions: +\begin{itemize} +\item \verb+OMstatus OMputComment(OMdev dev, char *comment)+ +\item \verb+OMstatus OMputCommentN(OMdev dev, char *comment, int len)+ +\item \verb+OMstatus OMgetComment(OMdev dev, char **comment)+ +\item \verb+OMstatus OMgetCommentN(OMdev dev, char *comment, int len)+ +\end{itemize} + +By default, comments are silently ignored by the library when reading +OpenMath objects (and writing them using the binary encoding). +The function +\begin{itemize} +\item \verb+OMbool OMignoreComment(OMdev dev, OMbool set)+ +\end{itemize} +changes this behaviour. When called with {\tt OMfalse}, comments are passed +to the application: the {\tt OMgetType} function will return +{\tt OMtokenComment} when the current token is a comment and the +{\tt OMgetComment} or {\tt OMgetCommentN} functions should be used to get the +comments. When {\tt OMignoreComment} is called with {\tt OMtrue}, comments +are ignored. + +\section{I/O Functions for Devices} + +We provide four functions that produce {\tt OMIO} objects for +devices. These functions provide I/O through the {\tt stdio} library +(on {\tt FILE} object), file descriptors and character strings. + +\begin{itemize} +\item \verb+OMIO OMmakeIOFile(FILE *f)+ associates the device with the +file pointer {\tt f}. +\item \verb+OMIO OMmakeIOfd(int fd)+ associates the device with the file +descriptor {\tt fd}. +\item \verb+OMIO OMmakeIOHandle(HANDLE handle)+ associates the device with a +file handle *Windows specific version of \verb+OMmakeIOfd()+.{\tt fd}. +\item \verb+OMIO OMmakeIOString(char **s)+ associates the device with a +string. +\end{itemize} +For example, the following code opens a device that reads from standard +input: +\begin{verbatim} +dev = OMmakeDevice(OMencodingSGML, OMmakeIOFile(stdin)); +\end{verbatim} + +The {\tt OMmakeIOString} builds an input device that reads from a string +or an output device that writes to a string. For input, {\tt s} must point to +a character string (null terminated). For output, {\tt s} will point to a +string allocated by the library (note that the string {\tt s} points to can +be reallocated by the library). + +\section{Communications} + +A communication layer can be put above the device layer. In fact, the +I/O structure in a device provides all the necessary support to use +any transmission or communication means. This library directly +provides some connection-oriented, client-server facilities (based on +{\sc tcp}). + +A set of functions are used to set up connections. Connections are described +by the {\tt OMconn} type. An {\tt OMconn} is a (pointer to a) structure with +two user-accessible fields {\tt in} and {\tt out}. {\tt in} is a pointer to a +device to be used for input. {\tt out} is pointer to a device to be used for +output. These devices use the binary encoding. + +An {\tt OMconn} object is made with the following function: +\begin{itemize} +\item \verb+OMconn OMmakeConn(int timeout)+ +\end{itemize} +where {\tt timeout} is a timeout for the connection, expressed in +milliseconds. + +\begin{itemize} +\item \verb+OMdev OMconnIn(OMconn conn)+ returns the input device +associated with the connection. +\item \verb+OMdev OMconnOut(OMconn conn)+ returns the output device +associated with the connection. +\end{itemize} + +\subsection{Functions to Initiate an {\tt OMconn}} + +The functions we provide can be divided in two classes. The first one +simply establishes an interprocess communication using {\sc IP} addresses. +The second one provides functions that can be used to launch a server. +The addresses used are then generated by the library. + +\subsubsection{Simple Connections Functions} + +The following functions allow a client OpenMath application to contact an +OpenMath server at a specified address: +\begin{itemize} +\item \verb+OMstatus OMconnTCP(OMconn conn, char *machine, int port)+ +\item \verb+OMstatus OMconnUnix(OMconn conn, char *file)+ +\end{itemize} +These functions first physically establish the connection. Then, they enter +negotiation with the server (they send the first message). When they return, +the negotiation is finished and the devices in the {\tt conn} argument are +ready. + +On the server side, the following functions provide bindings at specified +addresses and take care of the negotiation: +\begin{itemize} +\item \verb+OMstatus OMbindTCP(OMconn conn, int port)+ +\item \verb+OMstatus OMbindUnix(OMconn conn, char *file)+ +\end{itemize} + +All four the previous functions block until the connection is established +(and negotiation is over) or the timeout of the {\tt conn} argument is +reached. + +The following function returns the file descriptor associated with a device. +This is intended to be used when there is a need to poll the device (through +the {\tt select} or {\tt poll} system calls). +\begin{itemize} +\item \verb+OMdeviceFd(OMdev dev)+ +\end{itemize} + +\subsubsection{Functions that Launch Servers} + +These functions provide the same functionalities for launching a +server that were provided in the {\sc asap} library. + +In this model, the client calls {\tt OMlaunch} with a machine name +{\tt mach} and a string {\tt cmd} that is executed via {\tt rsh} on +machine {\tt mach} as a shell command line. This command is supposed +to launch the server program. The command is executed in an +environment (in the {\sc unix} sense) where some variables are +associated with an address on the machine that runs the client. The +server can then connect to the client with the {\tt OMserveClient} +function. + +If the machine name is {\tt localhost}, the command is started on the +same machine (without calling {\tt rsh}). + +\begin{itemize} +\item +\begin{verbatim} +OMstatus OMlaunchEnv(OMconn conn, char *machine, char *command, char *env) +\end{verbatim} +\item \verb+OMstatus OMlaunch(OMconn conn, char *machine, char *command)+ +\item \verb+OMstatus OMserveClient(OMconn conn)+ +\end{itemize} + +The environment variables passed to the server (launched program) are +{\verb+OM_CALLER_UNIX_SOCKET+} (when a local connection is required) and +{\verb+OM_CALLER_MACHINE+} and {\verb+OM_CALLER_PORT+} (for internet +connections). + +The {\tt OMlaunchEnv} function enables the command to be run with a +particular environment (in the {\sc unix} sense). For example to run a +{\tt plot} server on the {\tt kama} machine, we could use a piece of code +such as +\begin{verbatim} +conn = OMmakeConn(2000); +OMlaunchEnv(conn, "kama", "plot", "DISPLAY=rati:0 PATH=/users/bin"); +\end{verbatim} + +\subsubsection{Termination} + +\begin{itemize} +\item \verb+OMstatus OMconnClose(OMconn conn)+ +\end{itemize} + +\section{Parameters} + +The library internally uses three functions that can be supplied by the user. +\begin{itemize} +\item \verb+extern void *(*OMmalloc) (size_t size)+ +\item \verb+extern void *(*OMrealloc) (void *ptr, size_t size)+ +\item \verb+extern void (*OMfree) (void *ptr)+ +\end{itemize} + +\begin{itemize} +\item {\tt OMmalloc} is used for all memory allocations in the library. +The default value is the {\tt malloc} function. +\item {\tt OMfree} is used for deallocations. The default value is the +{\tt free} function. +\item {\tt OMfatal} is invoked when a fatal error is detected in the library +(for example when memory allocation failed or when an inconsistency is +detected in the library code data structures). The default value just does an +{\tt exit}. +\end{itemize} +{\tt OMfatal} is declared as +{\tt \verb+extern void (*OMfatal)(OMstatus status)+}. +All memory allocations and deallocations in the library are done through the +{\tt OMmalloc} and {\tt OMfree} functions. + +\section{Miscellaneous Functions and Variables} + +\begin{itemize} +\item \verb+char *OMstatusToString(OMstatus status)+ converts a status to a +human readable string. +\item \verb+char *OMtokenTypeToString(OMtokenType ttype)+ converts a +{\tt tokenType} to a human readable string. +\item \verb+OMencodingType OMgetDeviceEncoding(OMdev dev)+ returns the +encoding actually used by the device. +\item \verb+char *OMlibDynamicInfo(void)+ +\item \verb+extern const char *OMlibVersion+ is the version of the library. +\item \verb+extern const char *OMlibInfo+ contains some textual information +about the library. +\end{itemize} + +\section{The OM.h header file} +\begin{verbatim} +#ifndef __OM_h__ +#define __OM_h__ + +/* + * All types used through API. + */ + +/* These types are anonymized by the mean of a generic pointer. + * You should not allocate or dereference objects of these types. + * API (hopefully) provides you with all needed methods. + * If you find any that are not included, please refer to + * us rather than using private structures. + * ie: If you need to do something like + * malloc(sizeof(OMdevStruct)); + * or + * OMdevStruct * pDev; + * pDev->anyField = something; + * this probably means we need to discuss your problem. + */ + +/* A device is an abstraction for put/get of OpenMath tokens */ +typedef struct OMdevStruct *OMdev; + +/* IO is a device field, (the physical IO channel) */ +typedef struct OMIOStruct *OMIO; + + +/* Error status that may be returned + */ +typedef enum OMstatus { + /* Last call was successful. */ + OMsuccess = 0, + /* Last call failed for some undetermined reason. */ + OMfailed = 1, + /* Last call failed for memory reasons. */ + OMnoMem, + /* Last call failed during some system call. */ + OMerrorSys, + /* Last call to some OMget* function failed due to an unexpected EOF + on input IO. */ + OMemptyIO, + /* Last call to some OMget* function failed because there is no more + token on device. */ + OMnoMoreToken, + /* Last call to some OMget* function timeouted. */ + OMtimeoutedRead, + /* Last call to some OMget* function failed due to malformed input. + (this error covers all low level lexical or syntactic problems). */ + OMmalformedInput, + /* Last call to OMbindTCP failed because address is already in use + (EADDRINUSE). */ + OMaddrInUse, + /* Last call to OMconnTCP failed to set connection. */ + OMconnectFailed, + /* Last call trigered some not (yet) implemented code in this lib. */ + OMnotImplemented, + /* Last call caused some internal trouble. */ + OMinternalError +} OMstatus; + +/* All OpenMath token kinds are identified by one of these types. + * Values given in this enum have been chosen to: + * - avoid conflicts whith specific XML characters + * to help automatic detection of encoding type. + * (no: '\t'(9) '\r'(13) '\n'(10) '<'(60) or ' '(32)) + * - keep some bits (3) available for special encodings purpose + * (eg: sharing or big len flags in binary encoding) + */ +typedef enum OMtokenType { + OMtokenUnknown = 0, /* error catching trick */ + OMtokenInt32 = 1, + OMtokenBigInt = 2, + OMtokenFloat64 = 3, + OMtokenByteArray = 4, + OMtokenVar = 5, + OMtokenString = 6, + OMtokenWCString = 7, + OMtokenSymbol = 8, + OMtokenComment = 15, + OMtokenApp = 16, OMtokenEndApp = 17, + OMtokenAttr = 18, OMtokenEndAttr = 19, + OMtokenAtp = 20, OMtokenEndAtp = 21, + OMtokenError = 22, OMtokenEndError = 23, + OMtokenObject = 24, OMtokenEndObject = 25, + OMtokenBind = 26, OMtokenEndBind = 27, + OMtokenBVar = 28, OMtokenEndBVar = 29 +} OMtokenType; + +typedef enum OMbigIntType { + OMbigIntUnknown = 0, + /* this is base 10, digits in normal order (MSB) */ + OMbigIntBase10, + /* this is base 16, digits in normal order (MSB) */ + OMbigIntBase16 +} OMbigIntType; + +/* Encodings should not be "user visible" + * We thus refer to encoding as "symbolic constants" from this enum type. */ +typedef enum OMencodingType { + /* You may set an input stream to "unknown encoding". + * By doing this, you let library auto detect the + * encoding type of the device during first token input.*/ + OMencodingUnknown = 0, + /* Binary encoding, more compact than XML one. */ + OMencodingBinary, + /* XML-like encoding, human readable. */ + OMencodingXML, +} OMencodingType; + +/* This is a portable equivalent to wchar_t for unicode strings */ +typedef unsigned short OMUCS2; + +/* Replacment for lacking C bools */ +typedef unsigned char OMbool; +#define OMfalse (0) +#define OMtrue (1) + +/* + * Some global variables + */ + +/* Version of this lib (eg: "1.0") */ +extern const char *OMlibVersion; + +/* Some textual information about this lib (eg: "debug is on" */ +extern const char *OMlibInfo; + +/* These pointers allow you to redefine memory managment functions + used in lib. */ +extern void *(*OMmalloc) (size_t size); +extern void *(*OMrealloc) (void *ptr, size_t size); +extern void (*OMfree) (void *ptr); + +/* If set, this function will be called by OMfatal, thus you may use it for + error handling (by default it is set to exit()) */ +extern void (*OMfatal) (OMstatus status); + + + +/* for C++ includes */ +#ifdef __cplusplus +#define OMbeginPrototypes extern "C" { +#define OMendPrototypes } +#else /*__cplusplus */ +#define OMbeginPrototypes +#define OMendPrototypes +#endif /*__cplusplus */ + +/* + * Prototypes of OpenMath API + */ + +/* Prototypes that are spread along all headers are repeated here. + * - This should ease the API users. + * (docs are fine but source is always the ultimate help) + * - This allow a cleaner embeding of library + * (no need to install all .h! just take this one and the .a) + */ +OMbeginPrototypes +#ifndef OM_DEV +/* this part is automaticaly updated, do NOT edit below */ +/** Prototypes */ +/* OMPut* functions. + * They all take a device to put token to. + * Some of them need more parameters to define the token content. + * They are thoroughly documented in OpenMath Specification shiped + * with the library. + * return: a status that reflect the operation success. + */ +extern OMstatus OMputInt32(OMdev dev, int n); +extern OMstatus OMputFloat64(OMdev dev, double *d); +extern OMstatus OMputBigInt(OMdev dev, const char *data, int len, + int sign, OMbigIntType format); +extern OMstatus OMputByteArray(OMdev dev, const char *data, int len); +/* OMputString* + * If you want to output plain 8bits C like strings there is no need + * to use the OMputWCString* functions. This one is more efficient + * (faster and more compact output for some encodings) + */ +extern OMstatus OMputString(OMdev dev, const char *str); +extern OMstatus OMputStringN(OMdev dev, const char *str, int len); +/* OMputWCString + * If you are using wide char strings you need to output them + * with that function rather than with OMputString. + * (It takes endianess into account) + */ +extern OMstatus OMputWCString(OMdev dev, const OMUCS2 * wcstr); +extern OMstatus OMputVar(OMdev dev, const char *var); +extern OMstatus OMputVarN(OMdev dev, const char *var, int len); +extern OMstatus OMputSymbol(OMdev dev, const char *cd, const char *name); +extern OMstatus OMputSymbolN(OMdev dev, const char *cd, int clen, + const char *name, int nlen); +extern OMstatus OMputApp(OMdev dev); +extern OMstatus OMputEndApp(OMdev dev); +extern OMstatus OMputAttr(OMdev dev); +extern OMstatus OMputEndAttr(OMdev dev); +extern OMstatus OMputAtp(OMdev dev); +extern OMstatus OMputEndAtp(OMdev dev); +extern OMstatus OMputBind(OMdev dev); +extern OMstatus OMputEndBind(OMdev dev); +extern OMstatus OMputBVar(OMdev dev); +extern OMstatus OMputEndBVar(OMdev dev); +extern OMstatus OMputObject(OMdev dev); +extern OMstatus OMputEndObject(OMdev dev); +extern OMstatus OMputError(OMdev dev); +extern OMstatus OMputEndError(OMdev dev); +extern OMstatus OMputComment(OMdev dev, const char *comment); +extern OMstatus OMputCommentN(OMdev dev, const char *comment, int len); +/* OMgetType + * Get the type of the current token on device / + * dev: device to look at. + * type: where to store returned type. + * return: 0 or some error code + */ +extern OMstatus OMgetType(OMdev dev, OMtokenType * type); +/* OMgetLength + * Get the current token length. + * dev: device to read from + * len: where to put the token length + * the last '\0' for string like tokens is not counted + * (rem: for WCString it is the number of bytes not the number of + * wide chars) + * return: 0 or some error code + */ +extern OMstatus OMgetLength(OMdev dev, int *len); +/* OMgetSymbolLength + * Get the current token (wich is assumed to be a symbol) lengths. + * dev: device to read from + * clen: where to put the cd length (not counting the last '\0') + * nlen: where to put the name length (not counting the last '\0') + * return: 0 or some error code + */ +extern OMstatus OMgetSymbolLength(OMdev dev, int *clen, int *nlen); +/* OMGet* functions. + * They all take a device to get token from. + * Some of them need more parameters to fill with the token content. + * They are thoroughly documented in OpenMath Specification shiped with + * the library. + * return: a status that reflect the operation success. + */ +extern OMstatus OMgetInt32(OMdev dev, int *i); +extern OMstatus OMgetFloat64(OMdev dev, double *d); +extern OMstatus OMgetBigInt(OMdev dev, char **data, int *len, int *sign, + OMbigIntType * format); +extern OMstatus OMgetBigIntN(OMdev dev, char *data, int len, int *sign, + OMbigIntType * format); +extern OMstatus OMgetByteArray(OMdev dev, char **data, int *len); +extern OMstatus OMgetByteArrayN(OMdev dev, char *data, int len); +/* OMgetString* + * Beware! You are not suposed to use these functions unless you know + * for sure you are reading plain 8bits strings. + * Thus it is here only for speed/space consideration in very + * specific applications. + * If input is a 16 bit char string and you read it with these + * functions you will lose the 8 most significant bits of each char. + * You should rather refer to OMgetWCString* functions. + */ +extern OMstatus OMgetString(OMdev dev, char **str); +extern OMstatus OMgetStringN(OMdev dev, char *str, int len); +/* OMgetWCString* + * These functions return 16 bits wide strings. (regardless input + * was done in 8 or 16 bits mode). + * Thus, most if not all applications should use these functions + * preferably to OMgetString*. + */ +extern OMstatus OMgetWCString(OMdev dev, OMUCS2 ** wcstr); +/* BEWARE: the is suposed to be the length in bytes for the + * preallocated buffer (not the length in number of wide chars) + */ +extern OMstatus OMgetWCStringN(OMdev dev, OMUCS2 * wcstr, int len); +extern OMstatus OMgetVar(OMdev dev, char **var); +extern OMstatus OMgetVarN(OMdev dev, char *var, int len); +extern OMstatus OMgetSymbol(OMdev dev, char **cd, char **name); +extern OMstatus OMgetSymbolN(OMdev dev, char *cd, int clen, char *name, + int nlen); +extern OMstatus OMgetApp(OMdev dev); +extern OMstatus OMgetEndApp(OMdev dev); +extern OMstatus OMgetAttr(OMdev dev); +extern OMstatus OMgetEndAttr(OMdev dev); +extern OMstatus OMgetAtp(OMdev dev); +extern OMstatus OMgetEndAtp(OMdev dev); +extern OMstatus OMgetBind(OMdev dev); +extern OMstatus OMgetEndBind(OMdev dev); +extern OMstatus OMgetBVar(OMdev dev); +extern OMstatus OMgetEndBVar(OMdev dev); +extern OMstatus OMgetObject(OMdev dev); +extern OMstatus OMgetEndObject(OMdev dev); +extern OMstatus OMgetError(OMdev dev); +extern OMstatus OMgetEndError(OMdev dev); +extern OMstatus OMgetComment(OMdev dev, char **comment); +extern OMstatus OMgetCommentN(OMdev dev, char *comment, int len); +/* OMbeginObject + * Must be called before every new OpenMath object put. + * (Not before every token!) + * dev: device where new object is to be put. + * return: status describing operation success + */ +extern OMstatus OMbeginObject(OMdev dev); +/* OMendObject + * Must be called after every OpenMath object put. + * (Not after every token!) + * dev: device where object has been put. + * return: status describing operation success + */ +extern OMstatus OMendObject(OMdev dev); +/* OMignoreComment + * Set behavior of a device concerning comments. + * (Comments on an input device may safely be ignored.) + * dev: device to modify + * set: If set == OMtrue then device will ignore incoming comments + * If set == OMfalse then device will process incoming comments + * like other tokens. + * By default comments are ignored. + * Whatever is value, output of comments is always done. + * return: previous value + */ +extern OMbool OMignoreComment(OMdev dev, OMbool set); +/* OMtokenCount + * Reports the numbe rof tokens that have been in/output on a device + * dev: devive to examine + * inTokenNb: where to store number of input tokens (if not NULL) + * outTokenNb: where to store number of output tokens (if not NULL) + */ +extern void OMtokenCount(OMdev dev, int *inTokenNb, int *outTokenNb); +/* OMgetDeviceEncoding + * Get the currnet encoding used by a device + * dev: device to examine + * return: current encoding + */ +extern OMencodingType OMgetDeviceEncoding(OMdev dev); +/* OMsetDeviceEncoding + * Set the encoding that will be used on a device + * BEWARE: changing encoding on a device that has already been used + * for IO is unsafe. + * but seting encoding on a new device is safe. + * (in some occasions, it is not easy to know which encoding to + * use at device creation) + * dev: device to modify + * encoding: encoding to use + */ +extern void OMsetDeviceEncoding(OMdev dev, OMencodingType encoding); +/* OMmakeDevice + * Create a device from a low level IO + * Warning: "IO" should be a "generated" (new) structure as it contains some + * state that is private to the device. It is very dangerous for two devices + * to share the same "IO" structure. + * encoding: encoding scheme used by device + * IO: low level I/O suport for device + * return: a newly allocated device + */ +extern OMdev OMmakeDevice(OMencodingType encoding, OMIO IO); +/* OMcloseDevice + * Close a device previously created with OMmakeDevice + * (embedded IO is closed too) + * dev: device to close + */ +extern void OMcloseDevice(OMdev dev); +/* OMmakeIOFd + * Create a low level IO object from a file descriptor. + * (May be used on socket for instance.) + * fd: file descriptor to wrap into the OpenMath IO object. + * return: a newly allocated IO object. + */ +extern OMIO OMmakeIOFd(int fd); +/* OMmakeIOFile + * Create a low level IO object from a FILE*. + * (May be used on stdin for instance.) + * fd: FILE* to wrap into the OpenMath IO object. + * return: a newly allocated IO object. + */ +extern OMIO OMmakeIOFile(FILE * f); +/* OMmakeIOString + * Create a low level IO object from a string (NUL terminator is not needed). + * (May be used for copy/paste for instance.) + * s: pointer to string to use into the OpenMath IO object. + * - In case of input device the string must be NUL terminated. + * - In case of output device string may be reallocated + * to fit size of outcoming objects. + * return: a newly allocated IO object. + */ +extern OMIO OMmakeIOString(char **s); +/* OMstatusToString + * Convert a status to a human readable string that explain its meaning + * status: status to explain + * return: corresponding string + */ +extern char *OMstatusToString(OMstatus status); +/* OMtokenTypeToString + * Convert a tokenType to a human readable string + * ttype: type to convert + * return: corresponding string + */ +extern char *OMtokenTypeToString(OMtokenType ttype); +/* OMsetVerbosityLevel + * When using API some infos may be loged. + * This set the required verbosity level. + * level: level of verbosity. + * 0 means nothing is nether printed + * 1 everything is printed (default) + * 2,... less verbose + * return: last verbosity level + */ +extern int OMsetVerbosityLevel(int level); +/* OMsetVerbosityOutput + * When using API some infos may be loged. + * This set the destination for logs. + * logFile: where to output logs (default is stderr) + * return: last output + */ +extern FILE *OMsetVerbosityOutput(FILE * logFile); +/* OMlibDynamicInfo + * Gather some informations about lib that can't be statically determined. + * Complete them with some relevant static infornation too. + * return: a newly allocated string + */ +extern char *OMlibDynamicInfo(void); +/*** End Prototypes */ +/* end of automaticaly updated part */ + +#ifdef WIN32 +#include "windows.h" + +/* OMmakeIOHandle + * Create a low level IO object from a widows handle. + * handle: windows handle to wrap into the OpenMath IO object. + * return: a newly allocated IO object. + */ +extern OMIO OMmakeIOHandle(HANDLE handle); +extern void OMfreeIOHandle(OMIO io); +#endif + +#else /* OM_DEV */ +/* The prototypes above are in fact collected from all these .h files */ +#include "OMbase.h" +#include "OMdev.h" +#include "OMdevFd.h" +#include "OMdevFile.h" +#include "OMdevString.h" +#include "OMdevHandle.h" +#include "OMencBin.h" +#include "OMencXml.h" +#include "OMmisc.h" +#include "OMutf7.h" +#endif /* OM_DEV */ + +OMendPrototypes + +#endif /* __OM_h__ */ +\end{verbatim} + +\section{Axiom OpenMath stub functions} +These stub functions will eventually be expanded to handle OpenMath. +See the OpenMathDevice domain in Volume 10.3. Note that the argument +list for the Spad functions does not always match the argument list +specified in the OpenMath specification. + +There are 4 known OpenMath encodings which are set up in the OpenMathEncoding +domain in Volume 10.3. +\begin{itemize} +\item Unknown +\item Binary +\item XML +\item SGML +\end{itemize} + +\subsection{Axiom specific functions} +This is used in OpenMathPackage in Volume 10.4. +\begin{verbatim} +(read OMdev) -> LispObject +(listCDs) -> List(String) +(listSymbols) -> List(String) +(supportsCD cd) -> Boolean +(supportsSymbol cd name) -> Boolean +\end{verbatim} + +\defun{om-Read}{om-Read} +Read an OpenMath object from dev. +\begin{chunk}{defun om-Read} +(defun om-Read (dev)) + +\end{chunk} + +\defun{om-listCDs}{om-listCDs} +Lists all of the CDs supported by Axiom. +\begin{chunk}{defun om-listCDs} +(defun om-listCDs ()) + +\end{chunk} + +\defun{om-listSymbols}{om-listSymbols} +Lists all the symbols in CD +\begin{chunk}{defun om-listSymbols} +(defun om-listSymbols ()) + +\end{chunk} + +\defun{om-supportsCD}{om-supportsCD} +Return true if Axiom supports this CD. +\begin{chunk}{defun om-supportsCD} +(defun om-supportsCD (cd)) + +\end{chunk} + +\defun{om-supportsSymbol}{om-supportsSymbol} +\begin{chunk}{defun om-supportsSymbol} +(defun om-supportsSymbol (cd name)) + +\end{chunk} + +\subsection{Lisp conversion functions} +The lisp conversion functions are: +\begin{verbatim} + (toDev LispObject) -> OMdev + (fromDev OMdev) -> LispObject + (toStatus LispObject) -> LispObject + (fromStatus OMstatus) -> LispObject + (toEncodingType LispObject) -> OMencodingType + (fromEncodingType OMencodingType) -> LispObject + (toBigNumStr LispObject) -> char * + (fromBigNumStr char *,int,int, OMbigIntType) -> LispObject + (toConn LispObject) -> OMconn + (fromConn OMconn) -> LispObject + (toCString LispObject) -> char ** + (fromCString char **) -> LispObject + (lispStringFromCString LispObject) -> LispObject + (cStringFromLispString LispObject) -> LispObject +\end{verbatim} + +\defun{om-setDevEncoding}{om-setDevEncoding} +This sets the encoding used for reading or writeing OpenMath objects to +or from dev to enc. +\begin{chunk}{defun om-setDevEncoding} +(defun om-setDevEncoding (dev enc)) + +\end{chunk} + +\subsection{Device manipulation functions} +\begin{verbatim} +(openFileDev LispObject, ints, ...) -> LispObject +(openStrDev LispObject, LispObject, LispObject) -> LispObject +(closeDev LispObject, LispObject) -> LispObject +\end{verbatim} + +\defun{om-openFileDev}{om-openFileDev} +This opens file fname for reading or writing OpenMath objects. +The mode can be ``r'' for read, ``w'' for write, or ''a'' for append. +\begin{chunk}{defun om-openFileDev} +(defun om-openFileDev (fname fmode enc)) +\end{chunk} + +\defun{om-openStringDev}{om-openStringDev} +This opens the string str for reading and writing OpenMath objects in +encoding enc. +\begin{chunk}{defun om-openStringDev} +(defun om-openStringDev (str enc)) + +\end{chunk} + +\defun{om-closeDev}{om-closeDev} +This closes dev, flushing output if necessary. +\begin{chunk}{defun om-closeDev} +(defun om-closeDev (dev)) + +\end{chunk} + +\subsection{Connection manipulation functions} +These are covered in the OpenMathConnection domain in Volume 10.3. +\begin{verbatim} + (makeConn LispObject, LispObject) -> LispObject + (closeConn LispObject, LispObject) -> LispObject + (getConnInDev LispObject, LispObject) -> LispObject + (getConnOutDev LispObject, LispObject) -> LispObject +\end{verbatim} + +\defun{om-makeConn}{om-makeConn} +\begin{chunk}{defun om-makeConn} +(defun om-makeConn (conn)) + +\end{chunk} + +\defun{om-closeConn}{om-closeConn} +\begin{chunk}{defun om-closeConn} +(defun om-closeConn (conn)) + +\end{chunk} + +\defun{om-getConnInDev}{om-getConnInDev} +\begin{chunk}{defun om-getConnInDev} +(defun om-getConnInDev (conn)) + +\end{chunk} + +\defun{om-getConnOutDev}{om-getConnOutDev} +\begin{chunk}{defun om-getConnOutDev} +(defun om-getConnOutDev (conn)) + +\end{chunk} + +\subsection{Client/Server functions} +These are covered in the OpenMathConnection domain in Volume 10.3. +See OMconn.h +\begin{verbatim} +(bindTCP LispObject, LispObject, LispObject) -> LispObject +(connectTCP LispObject, int, ...) -> LispObject +\end{verbatim} + +\defun{om-bindTCP}{om-bindTCP} +\begin{chunk}{defun om-bindTCP} +(defun om-bindTCP (conn port)) + +\end{chunk} + +\defun{om-connectTCP}{om-connectTCP} +\begin{chunk}{defun om-connectTCP} +(defun om-connectTCP (conn host port)) + +\end{chunk} + +\subsection{Device input/output functions} +Most of these functions are in the OpenMathDevice domain in Volume 10.3. +The only exception seems to be the om-stringPtrToString and +om-stringToStringPtr functions which are called in the domains that +export primitives. Currently these are: +\begin{itemize} +\item Complex (10.3) +\item DoubleFloat (10.3) +\item Float (10.3) +\item Fraction (10.3) +\item Integer (10.3) +\item List (10.3) +\item SingleInteger (10.3) +\item String (10.3) +\item Symbol (10.3) +\item ExpressionToOpenMath (10.4) +\item OpenMathPackage (10.4) +\end{itemize} + +Note that putSymbol2 is not implemented. +\begin{verbatim} +(getApp LispObject, LispObject) -> LispObject +(getAtp LispObject, LispObject) -> LispObject +(getAttr LispObject, LispObject) -> LispObject +(getBind LispObject, LispObject) -> LispObject +(getBVar LispObject, LispObject) -> LispObject +(getByteArray LispObject, LispObject) -> LispObject +(getEndApp LispObject, LispObject) -> LispObject +(getEndAtp LispObject, LispObject) -> LispObject +(getEndAttr LispObject, LispObject) -> LispObject +(getEndBind LispObject, LispObject) -> LispObject +(getEndBVar LispObject, LispObject) -> LispObject +(getEndError LispObject, LispObject) -> LispObject +(getEndObject LispObject, LispObject) -> LispObject +(getError LispObject, LispObject) -> LispObject +(getFloat LispObject, LispObject) -> LispObject +(getInt LispObject, LispObject) -> LispObject +(getObject LispObject, LispObject) -> LispObject +(getString LispObject, LispObject) -> LispObject +(getSymbol LispObject, LispObject) -> LispObject +(getType LispObject, LispObject) -> LispObject +(getVar LispObject, LispObject) -> LispObject +(putApp LispObject, LispObject) -> LispObject +(putAtp LispObject, LispObject) -> LispObject +(putAttr LispObject, LispObject) -> LispObject +(putBind LispObject, LispObject) -> LispObject +(putBVar LispObject, LispObject) -> LispObject +(putByteArray LispObject, LispObject, LispObject) -> LispObject +(putEndApp LispObject, LispObject) -> LispObject +(putEndAtp LispObject, LispObject) -> LispObject +(putEndAttr LispObject, LispObject) -> LispObject +(putEndBind LispObject, LispObject) -> LispObject +(putEndBVar LispObject, LispObject) -> LispObject +(putEndError LispObject, LispObject) -> LispObject +(putEndObject LispObject, LispObject) -> LispObject +(putError LispObject, LispObject) -> LispObject +(putFloat LispObject, LispObject, LispObject) -> LispObject +(putInt LispObject, LispObject, LispObject) -> LispObject +(putObject LispObject, LispObject) -> LispObject +(putString LispObject, LispObject, LispObject) -> LispObject +(putSymbol LispObject, LispObject, LispObject) -> LispObject +(putSymbol2 LispObject, int nargs, ...) -> LispObject +(putVar LispObject, LispObject, LispObject) -> LispObject +(stringPtrToString LispObject, LispObject) -> LispObject +(stringToStringPtr LispObject, LispObject) -> LispObject +\end{verbatim} + +\defun{om-getApp}{om-getApp} +Reads a begin application token from dev. +\begin{chunk}{defun om-getApp} +(defun om-getApp (dev)) + +\end{chunk} + +\defun{om-getAtp}{om-getAtp} +Reads a begin attribute pair token from dev. +\begin{chunk}{defun om-getAtp} +(defun om-getAtp (dev)) + +\end{chunk} + +\defun{om-getAttr}{om-getAttr} +Reads a begin attribute token from dev +\begin{chunk}{defun om-getAttr} +(defun om-getAttr (dev)) + +\end{chunk} + +\defun{om-getBind}{om-getBind} +Reads a begin binder token from dev. +\begin{chunk}{defun om-getBind} +(defun om-getBind (dev)) + +\end{chunk} + +\defun{om-getBVar}{om-getBVar} +Reads a begin bound variable list token from dev. +\begin{chunk}{defun om-getBVar} +(defun om-getBVar (dev)) + +\end{chunk} + +\defun{om-getByteArray}{om-getByteArray} +Reads a byte array from dev. +\begin{chunk}{defun om-getByteArray} +(defun om-getByteArray (dev)) + +\end{chunk} + +\defun{om-getEndApp}{om-getEndApp} +Reads an end application token from dev +\begin{chunk}{defun om-getEndApp} +(defun om-getEndApp (dev)) + +\end{chunk} + +\defun{om-getEndAtp}{om-getEndAtp} +Reads an end attribute pair token from dev. +\begin{chunk}{defun om-getEndAtp} +(defun om-getEndAtp (dev)) + +\end{chunk} + +\defun{om-getEndAttr}{om-getEndAttr} +Reads an end attribute token from dev. +\begin{chunk}{defun om-getEndAttr} +(defun om-getEndAttr (dev)) + +\end{chunk} + +\defun{om-getEndBind}{om-getEndBind} +Reads an end binder token from dev. +\begin{chunk}{defun om-getEndBind} +(defun om-getEndBind (dev)) + +\end{chunk} + +\defun{om-getEndBVar}{om-getEndBVar} +Reads an end bound variable list token from dev. +\begin{chunk}{defun om-getEndBVar} +(defun om-getEndBVar (dev)) + +\end{chunk} + +\defun{om-getEndError}{om-getEndError} +Reads an end error token from dev. +\begin{chunk}{defun om-getEndError} +(defun om-getEndError (dev)) + +\end{chunk} + +\defun{om-getEndObject}{om-getEndObject} +Reads an end object token from dev. +\begin{chunk}{defun om-getEndObject} +(defun om-getEndObject (dev)) + +\end{chunk} + +\defun{om-getError}{om-getError} +Reads a begin error token from dev. +\begin{chunk}{defun om-getError} +(defun om-getError (dev)) + +\end{chunk} + +\defun{om-getFloat}{om-getFloat} +Reads a float from dev. +\begin{chunk}{defun om-getFloat} +(defun om-getFloat (dev)) + +\end{chunk} + +\defun{om-getInt}{om-getInt} +Reads an integer from dev. +\begin{chunk}{defun om-getInt} +(defun om-getInt (dev)) + +\end{chunk} + +\defun{om-getObject}{om-getObject} +Reads a begin object token from dev. +\begin{chunk}{defun om-getObject} +(defun om-getObject (dev)) + +\end{chunk} + +\defun{om-getString}{om-getString} +Reads a string from dev. +\begin{chunk}{defun om-getString} +(defun om-getString (dev)) + +\end{chunk} + +\defun{om-getSymbol}{om-getSymbol} +Reads a symbol from dev. +\begin{chunk}{defun om-getSymbol} +(defun om-getSymbol (dev)) + +\end{chunk} + +\defun{om-getType}{om-getType} +Returns the type of the next object on dev. +\begin{chunk}{defun om-getType} +(defun om-getType (dev)) + +\end{chunk} + +\defun{om-getVar}{om-getVar} +Reads a variable from dev. +\begin{chunk}{defun om-getVar} +(defun om-getVar (dev)) + +\end{chunk} + +\defun{om-putApp}{om-putApp} +Writes a begin application token to dev. +\begin{chunk}{defun om-putApp} +(defun om-putApp (dev)) +\end{chunk} + +\defun{om-putAtp}{om-putAtp} +This writea a begin application pair token to dev. +\begin{chunk}{defun om-putAtp} +(defun om-putAtp (dev)) + +\end{chunk} + +\defun{om-putAttr}{om-putAttr} +This writes a begin attribute token to dev. +\begin{chunk}{defun om-putAttr} +(defun om-putAttr (dev)) + +\end{chunk} + +\defun{om-putBind}{om-putBind} +This writes a begin binder token to dev. +\begin{chunk}{defun om-putBind} +(defun om-putBind (dev)) + +\end{chunk} + +\defun{om-putBVar}{om-putBVar} +This writes a begin bound variable list token to dev. +\begin{chunk}{defun om-putBVar} +(defun om-putBVar (dev)) + +\end{chunk} + +\defun{om-putByteArray}{om-putByteArray} +This writes a byte array to dev. +\begin{chunk}{defun om-putByteArray} +(defun om-putByteArray (dev b)) + +\end{chunk} + +\defun{om-putEndApp}{om-putEndApp} +This writes an end application token to dev. +\begin{chunk}{defun om-putEndApp} +(defun om-putEndApp (dev)) + +\end{chunk} + +\defun{om-putEndAtp}{om-putEndAtp} +This writes an end attribute pair to dev. +\begin{chunk}{defun om-putEndAtp} +(defun om-putEndAtp (dev)) + +\end{chunk} + +\defun{om-putEndAttr}{om-putEndAttr} +This writes an end attribute token to dev. +\begin{chunk}{defun om-putEndAttr} +(defun om-putEndAttr (dev)) + +\end{chunk} + +\defun{om-putEndBind}{om-putEndBind} +This writes an end binder token to dev. +\begin{chunk}{defun om-putEndBind} +(defun om-putEndBind (dev)) + +\end{chunk} + +\defun{om-putEndBVar}{om-putEndBVar} +This writes and end bound variable list token to dev +\begin{chunk}{defun om-putEndBVar} +(defun om-putEndBVar (dev)) + +\end{chunk} + +\defun{om-putEndError}{om-putEndError} +This writes an end error token to dev +\begin{chunk}{defun om-putEndError} +(defun om-putEndError (dev)) + +\end{chunk} + +\defun{om-putEndObject}{om-putEndObject} +This writes an end object token to dev. +\begin{chunk}{defun om-putEndObject} +(defun om-putEndObject (dev)) + +\end{chunk} + +\defun{om-putError}{om-putError} +This writes a begin error token to dev. +\begin{chunk}{defun om-putError} +(defun om-putError (dev)) + +\end{chunk} + +\defun{om-putFloat}{om-putFloat} +This writes the float f to dev. +\begin{chunk}{defun om-putFloat} +(defun om-putFloat (dev f)) + +\end{chunk} + +\defun{om-putInt}{om-putInt} +This writes the integer i to dev +\begin{chunk}{defun om-putInt} +(defun om-putInt (dev i)) + +\end{chunk} + +\defun{om-putObject}{om-putObject} +This writes a begin object token to dev. +\begin{chunk}{defun om-putObject} +(defun om-putObject (dev)) + +\end{chunk} + +\defun{om-putString}{om-putString} +This writes the string s to dev. +\begin{chunk}{defun om-putString} +(defun om-putString (dev s)) + +\end{chunk} + +\defun{om-putSymbol}{om-putSymbol} +This writes the symbol nm using semantics from cd to dev. +\begin{chunk}{defun om-putSymbol} +(defun om-putSymbol (dev cd nm)) + +\end{chunk} + +\defun{om-putVar}{om-putVar} +This writes the variable v to dev. +\begin{chunk}{defun om-putVar} +(defun om-putVar (dev v)) + +\end{chunk} + +\defun{om-stringToStringPtr}{om-stringToStringPtr} +This is used in the SingleInteger domain in Volume 10.3. +This is supposed to return the string from its address? +It would appear to be a nop in lisp. +\begin{chunk}{defun om-stringToStringPtr} +(defun om-stringToStringPtr (str)) + +\end{chunk} + +\defun{om-stringPtrToString}{om-stringPtrToString} +This is used in the SingleInteger domain in Volume 10.3. +This is supposed to return the string address from a string? +It would appear to be a nop in lisp. +\begin{chunk}{defun om-stringPtrToString} +(defun om-stringPtrToString (str)) + +\end{chunk} + \chapter{NRLIB code.lisp support code} \defun{makeByteWordVec2}{makeByteWordVec2} @@ -39636,6 +42711,7 @@ \getchunk{defmacro dlen} \getchunk{defmacro dsetaref2} \getchunk{defmacro dsetelt} +\getchunk{defmacro elt32} \getchunk{defmacro funfind} \getchunk{defmacro hget} \getchunk{defmacro make-cdouble-matrix} @@ -39644,8 +42720,10 @@ \getchunk{defmacro make-double-matrix1} \getchunk{defmacro make-double-vector} \getchunk{defmacro make-double-vector1} +\getchunk{defmacro qv32len} \getchunk{defmacro Rest} \getchunk{defmacro startsId?} +\getchunk{defmacro setelt32} \getchunk{defmacro trapNumericErrors} \getchunk{defmacro truth-to-bit} \getchunk{defmacro while} @@ -39827,7 +42905,6 @@ \getchunk{defun opTran 0} -\getchunk{defun packageTran 0} \getchunk{defun pfAndLeft 0} \getchunk{defun pfAndRight 0} \getchunk{defun pfAppend 0} @@ -39947,6 +43024,7 @@ \getchunk{defun addNewInterpreterFrame} \getchunk{defun addoperations} \getchunk{defun addTraceItem} +\getchunk{defun algCoerceInteractive} \getchunk{defun allConstructors} \getchunk{defun allOperations} \getchunk{defun alqlGetOrigin} @@ -39957,6 +43035,8 @@ \getchunk{defun assertCond} \getchunk{defun augmentTraceNames} +\getchunk{defun basicLookup} +\getchunk{defun basicLookupCheckDefaults} \getchunk{defun break} \getchunk{defun breaklet} \getchunk{defun brightprint} @@ -39981,6 +43061,7 @@ \getchunk{defun clearSpad2Cmd} \getchunk{defun close} \getchunk{defun closeInterpreterFrame} +\getchunk{defun cmpnote} \getchunk{defun coerceSpadArgs2E} \getchunk{defun coerceSpadFunValue2E} \getchunk{defun coerceTraceArgs2E} @@ -39993,6 +43074,8 @@ \getchunk{defun commandUserLevelError} \getchunk{defun compareposns} \getchunk{defun compileBoot} +\getchunk{defun compiledLookup} +\getchunk{defun compiledLookupCheck} \getchunk{defun compressOpen} \getchunk{defun constoken} \getchunk{defun copyright} @@ -40007,8 +43090,6 @@ \getchunk{defun describeFortPersistence} \getchunk{defun describeInputLibraryArgs} \getchunk{defun describeOutputLibraryArgs} -\getchunk{defun describeProtectedSymbolsWarning} -\getchunk{defun describeProtectSymbols} \getchunk{defun describeSetFortDir} \getchunk{defun describeSetFortTmpDir} \getchunk{defun describeSetFunctionsCache} @@ -40025,7 +43106,6 @@ \getchunk{defun describeSpad2Cmd} \getchunk{defun dewritify} \getchunk{defun dewritify,dewritifyInner} -\getchunk{defun dewritify,is?} \getchunk{defun diffAlist} \getchunk{defun digit?} \getchunk{defun digitp} @@ -40068,6 +43148,11 @@ \getchunk{defun erMsgCompare} \getchunk{defun erMsgSep} \getchunk{defun erMsgSort} +\getchunk{defun evalCategory} +\getchunk{defun evalDomain} +\getchunk{defun evaluateSignature} +\getchunk{defun evaluateType} +\getchunk{defun evaluateType1} \getchunk{defun ExecuteInterpSystemCommand} \getchunk{defun executeQuietCommand} @@ -40094,6 +43179,7 @@ \getchunk{defun genDomainTraceName} \getchunk{defun gensymInt} \getchunk{defun getAliasIfTracedMapParameter} +\getchunk{defun getAndEvalConstructorArgument} \getchunk{defun getAndSay} \getchunk{defun getBpiNameIfTracedMap} \getchunk{defun getBrowseDatabase} @@ -40110,10 +43196,13 @@ \getchunk{defun getMsgPos} \getchunk{defun getMsgPos2} \getchunk{defun getMsgToWhere} +\getchunk{defun getOplistForConstructorForm} +\getchunk{defun getOplistWithUniqueSignatures} \getchunk{defun getOption} \getchunk{defun getPosStL} \getchunk{defun getPreviousMapSubNames} \getchunk{defun getProplist} +\getchunk{defun getrefv32} \getchunk{defun getStFromMsg} \getchunk{defun getSystemCommandLine} \getchunk{defun getTraceOption} @@ -40182,6 +43271,7 @@ \getchunk{defun initImPr} \getchunk{defun initroot} \getchunk{defun initToWhere} +\getchunk{defun insertAlist} \getchunk{defun insertpile} \getchunk{defun InterpExecuteSpadSystemCommand} \getchunk{defun interpFunctionDepAlists} @@ -40202,9 +43292,11 @@ \getchunk{defun intloopSpadProcess} \getchunk{defun intloopSpadProcess,interp} \getchunk{defun intProcessSynonyms} -\getchunk{defun intSayKeyedMsg} \getchunk{defun ioclear} +\getchunk{defun iostat} \getchunk{defun isDomainOrPackage} +\getchunk{defun isDomainValuedVariable} +\getchunk{defun isExposedConstructor} \getchunk{defun isgenvar} \getchunk{defun isInterpOnlyMap} \getchunk{defun isListOfIdentifiers} @@ -40212,6 +43304,7 @@ \getchunk{defun isSharpVar} \getchunk{defun isSharpVarWithNum} \getchunk{defun isSubForRedundantMapName} +\getchunk{defun isSystemDirectory} \getchunk{defun isTraceGensym} \getchunk{defun isUncompiledMap} @@ -40235,8 +43328,12 @@ \getchunk{defun listOutputter} \getchunk{defun lnFileName} \getchunk{defun load} +\getchunk{defun loadFunctor} +\getchunk{defun loadLib} +\getchunk{defun loadLibNoUpdate} \getchunk{defun localdatabase} \getchunk{defun localnrlib} +\getchunk{defun lookupInDomainVector} \getchunk{defun loopIters2Sex} \getchunk{defun lotsof} \getchunk{defun ltrace} @@ -40267,6 +43364,7 @@ \getchunk{defun make-instream} \getchunk{defun makeLeaderMsg} \getchunk{defun makeMsgFromLine} +\getchunk{defun makeOrdinal} \getchunk{defun make-outstream} \getchunk{defun makePathname} \getchunk{defun makeStream} @@ -40275,6 +43373,10 @@ \getchunk{defun messageprint} \getchunk{defun messageprint-1} \getchunk{defun messageprint-2} +\getchunk{defun mkEvalable} +\getchunk{defun mkEvalableMapping} +\getchunk{defun mkEvalableRecord} +\getchunk{defun mkEvalableUnion} \getchunk{defun mkLineList} \getchunk{defun mkprompt} \getchunk{defun msgCreate} @@ -40299,7 +43401,7 @@ \getchunk{defun ncloopInclude0} \getchunk{defun ncloopInclude1} \getchunk{defun ncloopParse} -\getchunk{defun ncParseAndInterpretString} +\getchunk{defun ncParseFromString} \getchunk{defun ncPutQ} \getchunk{defun ncSoftError} \getchunk{defun ncTag} @@ -40310,6 +43412,7 @@ \getchunk{defun nextInterpreterFrame} \getchunk{defun nextline} \getchunk{defun next-lines-clear} +\getchunk{defun next-lines-show} \getchunk{defun npAdd} \getchunk{defun npADD} \getchunk{defun npAmpersand} @@ -40494,8 +43597,67 @@ \getchunk{defun npWhile} \getchunk{defun npWith} \getchunk{defun npZeroOrMore} +\getchunk{defun NRTevalDomain} +\getchunk{defun oldCompLookup} \getchunk{defun oldHistFileName} +\getchunk{defun om-bindTCP} +\getchunk{defun om-closeConn} +\getchunk{defun om-closeDev} +\getchunk{defun om-connectTCP} +\getchunk{defun om-getApp} +\getchunk{defun om-getAtp} +\getchunk{defun om-getAttr} +\getchunk{defun om-getBind} +\getchunk{defun om-getBVar} +\getchunk{defun om-getConnInDev} +\getchunk{defun om-getConnOutDev} +\getchunk{defun om-getEndApp} +\getchunk{defun om-getEndAtp} +\getchunk{defun om-getEndAttr} +\getchunk{defun om-getEndBind} +\getchunk{defun om-getEndBVar} +\getchunk{defun om-getEndError} +\getchunk{defun om-getEndObject} +\getchunk{defun om-getError} +\getchunk{defun om-getFloat} +\getchunk{defun om-getInt} +\getchunk{defun om-getObject} +\getchunk{defun om-getString} +\getchunk{defun om-getSymbol} +\getchunk{defun om-getType} +\getchunk{defun om-getVar} +\getchunk{defun om-listCDs} +\getchunk{defun om-listSymbols} +\getchunk{defun om-makeConn} +\getchunk{defun om-openFileDev} +\getchunk{defun om-openStringDev} +\getchunk{defun om-putApp} +\getchunk{defun om-putAtp} +\getchunk{defun om-putAttr} +\getchunk{defun om-putBind} +\getchunk{defun om-putBVar} +\getchunk{defun om-putByteArray} +\getchunk{defun om-putEndApp} +\getchunk{defun om-putEndAtp} +\getchunk{defun om-putEndAttr} +\getchunk{defun om-putEndBind} +\getchunk{defun om-putEndBVar} +\getchunk{defun om-putEndError} +\getchunk{defun om-putEndObject} +\getchunk{defun om-putError} +\getchunk{defun om-putFloat} +\getchunk{defun om-putInt} +\getchunk{defun om-putObject} +\getchunk{defun om-putString} +\getchunk{defun om-putSymbol} +\getchunk{defun om-putVar} +\getchunk{defun om-Read} +\getchunk{defun om-setDevEncoding} +\getchunk{defun om-stringPtrToString} +\getchunk{defun om-stringToStringPtr} +\getchunk{defun om-supportsCD} +\getchunk{defun om-supportsSymbol} \getchunk{defun openOutputLibrary} \getchunk{defun openserver} \getchunk{defun operationOpen} @@ -40725,12 +43887,10 @@ \getchunk{defun processInteractive1} \getchunk{defun processKeyedError} \getchunk{defun processMsgList} -\getchunk{defun protectedSymbolsWarning} \getchunk{defun protectedEVAL} \getchunk{defun processSynonymLine} \getchunk{defun processSynonymLine,removeKeyFromLine} \getchunk{defun processSynonyms} -\getchunk{defun protectSymbols} \getchunk{defun prTraceNames} \getchunk{defun prTraceNames,fn} \getchunk{defun pspacers} @@ -40764,9 +43924,11 @@ \getchunk{defun redundant} \getchunk{defun remFile} \getchunk{defun removeOption} +\getchunk{defun remover} \getchunk{defun removeTracedMapSigs} \getchunk{defun removeUndoLines} \getchunk{defun replaceFile} +\getchunk{defun replaceSharps} \getchunk{defun reportOperations} \getchunk{defun reportOpsFromLisplib} \getchunk{defun reportOpsFromLisplib0} @@ -40787,6 +43949,7 @@ \getchunk{defun restart} \getchunk{defun restart0} \getchunk{defun restoreHistory} +\getchunk{defun retract} \getchunk{defun /rf} \getchunk{defun /rq} \getchunk{defun rread} @@ -40801,6 +43964,8 @@ \getchunk{defun saveHistory} \getchunk{defun saveMapSig} \getchunk{defun savesystem} +\getchunk{defun saveDependentsHashTable} +\getchunk{defun saveUsersHashTable} \getchunk{defun sayAllCacheCounts} \getchunk{defun sayBrightly1} \getchunk{defun sayCacheCount} @@ -40890,19 +44055,24 @@ \getchunk{defun Skipping?} \getchunk{defun spad} \getchunk{defun spadClosure?} +\getchunk{defun spad-error-loc} \getchunk{defun SpadInterpretStream} +\getchunk{defun spad-long-error} \getchunk{defun spadReply} \getchunk{defun spadReply,printName} \getchunk{defun spadrread} \getchunk{defun spadrwrite} \getchunk{defun spadrwrite0} \getchunk{defun spad-save} +\getchunk{defun spad-short-error} \getchunk{defun spadStartUpMsgs} +\getchunk{defun spad-syntax-error} \getchunk{defun spadTrace} \getchunk{defun spadTraceAlias} \getchunk{defun spadTrace,g} \getchunk{defun spadTrace,isTraceable} \getchunk{defun spadUntrace} +\getchunk{defun spad2BootCoerce} \getchunk{defun specialChar} \getchunk{defun spleI} \getchunk{defun spleI1} @@ -40937,8 +44107,10 @@ \getchunk{defun tersyscommand} \getchunk{defun thisPosIsEqual} \getchunk{defun thisPosIsLess} +\getchunk{defun throwEvalTypeMsg} \getchunk{defun toFile?} \getchunk{defun tokConstruct} +\getchunk{defun token-stack-show} \getchunk{defun tokPosn} \getchunk{defun tokTran} \getchunk{defun tokType} @@ -40975,6 +44147,7 @@ \getchunk{defun untraceMapSubNames} \getchunk{defun unwritable?} \getchunk{defun updateCurrentInterpreterFrame} +\getchunk{defun updateDatabase} \getchunk{defun updateFromCurrentInterpreterFrame} \getchunk{defun updateHist} \getchunk{defun updateInCoreHist} @@ -40982,6 +44155,8 @@ \getchunk{defun userLevelErrorMessage} \getchunk{defun validateOutputDirectory} +\getchunk{defun vec2list} +\getchunk{defun voidValue} \getchunk{defun what} \getchunk{defun whatCommands} @@ -41391,6 +44566,10 @@ {\bf http://axiom.axiom-developer.org/axiom-website/documentation.html} \bibitem{2} Daly, Timothy, ``The Axiom Wiki Website''\\ {\bf http://axiom.axiom-developer.org} +\bibitem{3} Stephane Dalmas and Olivier Arsac ``OpenMath'' +Project SAFIR, INRIA Sophia Antipolis +\bibitem{4} OpenMath Technical Overview +\verb|www.openmath.org/overview/technical.html| \end{thebibliography} \chapter{Index} \printindex diff -Nru axiom-20110301a/books/bookvol6.pamphlet axiom-20111101/books/bookvol6.pamphlet --- axiom-20110301a/books/bookvol6.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol6.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -1,6 +1,7 @@ -\documentclass{book} +\documentclass[dvipdfm]{book} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} diff -Nru axiom-20110301a/books/bookvol7.1.pamphlet axiom-20111101/books/bookvol7.1.pamphlet --- axiom-20110301a/books/bookvol7.1.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol7.1.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -3,6 +3,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} @@ -208,6 +209,10 @@ \pagepic{ps/v71releasenotes.eps}{releasenotes}{0.65} \pagefrom{Root Page}{RootPage} \pageto{Online information}{onlineInformation} +\pageto{November 2011}{nov2011} +\pageto{September 2011}{sept2011} +\pageto{July 2011}{july2011} +\pageto{May 2011}{may2011} \pageto{March 2011}{mar2011} \pageto{January 2011}{jan2011} \pageto{November 2010}{nov2010} @@ -235,6 +240,10 @@ \beginscroll \beginmenu \menudownlink{Online information}{onlineInformation} + \menudownlink{November 2011}{nov2011} + \menudownlink{September 2011}{sept2011} + \menudownlink{July 2011}{july2011} + \menudownlink{May 2011}{may2011} \menudownlink{March 2011}{mar2011} \menudownlink{January 2011}{jan2011} \menudownlink{November 2010}{nov2010} @@ -279,6 +288,407 @@ \end{chunk} +\pagetitle{nov2011}{releasenotes.ht}{November 2011 Release Notes} +\pagepic{ps/v71nov2011.eps}{nov2011}{0.60} +\pagefrom{What's New in Axiom}{releaseNotes} +\begin{chunk}{releasenotes.ht} +\begin{page}{nov2011}{November 2011 Release Notes} +\beginscroll +\begin{verbatim} +November 2011 Release + +Treeshaking the interpreter and compiler continues and a few more files +were merged and removed. + +Several books and Makefiles were converted to use lisp tangle rather +than noweb. This is part of the general process to remove noweb. + +Global function rewrites continue, including removing GETREFV and makeprop. + +Work was done to improve OpenMath support. The OpenMath semantics CDs were +added and the OpenMath parser was enhanced. + +More effort was put into literate work. In particular, an example of a +literate program using HTML was created and presented at the Clojure/Conj +conference. + +books/Makefile + removed noweb, move to lisp tangle + fix missing index files on PDfs + +books/tangle.lisp + fix .input file algebra extraction + +books/bookvol10.2 + missing/unused function cleanup + remove makeprop + remove noweb, move to lisp tangle + +books/bookvol10.3 + remove GETREFV + remove makeprop + remove noweb, move to lisp tangle + +books/bookvol10.4 + remove noweb, move to lisp tangle + +books/bookvol10.5 + remove noweb, move to lisp tangle + +books/bookvol4 + missing/unused function cleanup + remove makeprop + +books/bookvol5 + OpenMath support + add OpenMath stubs + missing/unused function cleanup + remove makeprop + remove noweb, move to lisp tangle + treeshake interpreter + +books/bookvol7.1 + fix documentation + update What's New Page + +books/bookvol9 + missing/unused function cleanup + remove makeprop + treeshake and merge c-doc.lisp + +books/bookvolbib + Axiom OpenMath references + add additional references + add references + +books/ps/ + v71releasenotes.eps add release notes + v71sept2011.eps added + +src/algebra/Makefile + fix .input file algebra extraction + remove noweb, move to lisp tangle + +src/axiom-website/documentation.html + add Alexander quote + add Knuth quote + add litprog.html + add quote + +src/axiom-website/download.html + update to latest release + +src/axiom-website/litprog.html + added + add quote + literate program example update + +src/interp/Makefile + remove apply.lisp + remove c-doc.lisp + remove noweb, move to lisp tangle + remove nruntime.lisp + +src/interp + apply.lisp removed, merged with bookvol9 + buildom.lisp remove GETREFV + c-doc.lisp removed + c-util.lisp missing/unused function cleanup + category.lisp remove GETREFV + functor.lisp missing/unused function cleanup, remove GETREFV + g-util.lisp missing/unused function cleanup + i-eval.lisp remove nruntime.lisp + i-spec1.lisp treeshake interpreter + i-spec2.lisp fix AN has sqrt: % -> % + i-spec2.lisp remove makeprop + nruncomp.lisp remove GETREFV, treeshake compiler + nrungo.lisp remove nruntime.lisp, treeshake interpreter, remove GETREFV + nruntime.lisp removed + parsing.lisp remove makeprop + sys-pkg.lisp missing/unused function cleanup, remove GETREFV, makeprop + template.lisp remove GETREFV + vmlisp.lisp missing/unused function cleanup, remove GETREFV, makeprop + +zips + add cds.tar.gz OpenMath support. add OpenMath CDs +\end{verbatim} +\endscroll +\autobuttons +\end{page} + +\end{chunk} + +\pagetitle{sept2011}{releasenotes.ht}{September 2011 Release Notes} +\pagepic{ps/v71sept2011.eps}{sept2011}{0.60} +\pagefrom{What's New in Axiom}{releaseNotes} +\begin{chunk}{releasenotes.ht} +\begin{page}{sept2011}{September 2011 Release Notes} +\beginscroll +\begin{verbatim} +September 2011 Release + +This release continues the task of treeshaking the compiler and +interpreter. Nine files were merged and removed. In addition, +several passes were made for code cleanup. + +The Symbolic Ito Calculus package is being added, starting with the +BasicStochasticDifferential and StochasticDifferential domains. +More work remains to be done. + +The GUESS package is being upgraded. + +James Cloos and Wilfrid Kendall were added to the credits. + +books/bookvol10.3 + add BasicStochasticDifferential and StochasticDifferential + remove pairp + start upgrade of GUESS package + +books/bookvol10.4 + remove packageTran + +books/bookvol10.5 + add StochasticDifferential + +books/bookvol5 + add BasicStochasticDifferential domain + merge nocompil.lisp, as.lisp, nci.lisp + treeshake interpreter + remove pairp, ncParseAndInterpretString, packageTran + use qc(ad)r forms + +books/bookvol7 + merge nocompil.lisp + +books/bookvol7.1 + update What's New Page + +books/bookvol9 + remove pairp, isPackageFunction + treeshake compiler + use qc(ad)r forms + +books/bookvolbib + add Kendall Ken99a, Ken99b literature references to Axiom + +books/ps/ + v103basicstochasticdifferential.ps added + v103stochasticdifferential.ps added + v71july2011.eps + v71releasenotes.eps add release notes + +src/algebra/Makefile + BasicStochasticDifferential domain + add StochasticDifferential + remove upper GUESS package code + +src/axiom-website/download.html add Gentoo notes by James Cloos +src/axiom-website/download.html add ubuntu + +src/axiom-website/releasenotes.html + +src/doc/axiom.sty + fix defplist + +src/input/Makefile + document finite field bug + respect the BUILD=fast variable value + +src/input/ + fix broken tests in axiom, cmds, setcmd, unittest1, unittest2 + ffieldbug.input: added + +src/interp/Makefile + remove as.lisp, compiler.lisp, database.lisp, define.lisp, foam_l + remove g-opt.lisp, nci.lisp, package.lisp, ax.lisp + +\end{verbatim} +\endscroll +\autobuttons +\end{page} + +\end{chunk} + +\pagetitle{july2011}{releasenotes.ht}{July 2011 Release Notes} +\pagepic{ps/v71july2011.eps}{july2011}{0.60} +\pagefrom{What's New in Axiom}{releaseNotes} +\begin{chunk}{releasenotes.ht} +\begin{page}{july2011}{July 2011 Release Notes} +\beginscroll +\begin{verbatim} +July 2011 Release + +The prior release had a bug that caused it to remember the build location. +This was a change introduced by the underlying lisp. This was fixed. + +This release continues treeshaking the compiler. +The modemap.lisp file has been merged and no longer exists. + +This release continues to treeshake the interpreter. +The axext_l.lisp file has been removed. + +Makefile.pamphlet + add BUILD=full / BUILD=fast switch + +Book Volume 5 (Interpreter) + treeshake interpreter + +Book Volume 9 (Compiler) + treeshake compiler + +Book Volume 10.3 (Domains) + help and unit tests for RewriteRule + +axiom.sty + add /refsdollar and /defsdollar for better cross references + +src/interp/Makefile + add (si::reset-sys-paths) per Camm + remove axext_l aldor support file + remove modemap.lisp + +\end{verbatim} +\endscroll +\autobuttons +\end{page} + +\end{chunk} + +\pagetitle{may2011}{releasenotes.ht}{May 2011 Release Notes} +\pagepic{ps/v71may2011.eps}{may2011}{0.60} +\pagefrom{What's New in Axiom}{releaseNotes} +\begin{chunk}{releasenotes.ht} +\begin{page}{may2011}{May 2011 Release Notes} +\beginscroll +\begin{verbatim} +May 2011 Release + +This release involved more work treeshaking of the compiler and +interpreter. Argument naming conventions were normalized to improve +the documentation and clarity. + +Time was spent proofreading the books and reducing or eliminating +latex warnings. Missing index files were fixed and errors in the Jenks +book were fixed. + +The website has been updated to make Arthur Ralf's book available +from every page. The website is being rewritten to be IPv6 enabled. + +Doug Telford was added to the credits. + +Book Volume 0 (Jenks book) + proofread to chapter 1 (pdf page 86) + replace "operator over" by "operate over" + set textlength 400 + port changes to Arthur Ralfs HTML version + +Book Volume 1 (Tutorial) + proofread and copyedit + set textlength 400 + update HTML image + +Book Volume 2 + set textlength 400 + +Book Volume 3 + set textlength 400 + +Book Volume 4 + set textlength 400 + +Book Volume 5 (Interpreter) + add Doug Telford to credits + set textlength 400 + treeshake interpreter + +Book Volume 6 + set textlength 400 + +Book Volume 7 (Hyperdoc) + set textlength 400 + +Book Volume 7.1 (Hyperdoc pages) + set textlength 400 + update What's New Page + ps/v71mar2011.eps + ps/v71releasenotes.eps add release notes + +Book Volume 8 + set textlength 400 + +Book Volume 9 (Compiler) + normalize argument names to top level functions + treeshake compiler + +Book Volume 10 + set textlength 400 + +Book Volume 10.1 + set textlength 400 + +Book Volume 10.2 (Categories) + set textlength 400 + +Book Volume 10.3 (Domains) + set textlength 400 + +Book Volume 10.4 (Packages) + set textlength 400 + +Book Volume 10.5 (Numerics) + set textlength 400 + +Book Volume 11 + set textlength 400 + +Book Volume 12 + set textlength 400 + +Biblography + add several references + set textlength 400 + +readme + add Doug Telford to credits + +website + set up IPv6 address range + download.html add binaries + bugreport.html add bug reporting instructions + + The website now has an online version of the Jenks book which is a + link to Arthur Ralf's HTML version. This has been updated with the + proofreading changes for the latex version. + + *.html add online book link to Arthur Ralfs HTML version + hyperdoc/axbook/ps/h-root.png port changes + hyperdoc/axbook/section-0.1.xhtml, section-0.6.xhtml, section-0.7.xhtml + +Makefiles + books/Makefile fix missing index + books/Makefile set textlength 400 + +Testing + Makefile add davis.input + Makefile add erf.input + Makefile bug report regression test + davis.input + erf.input add examples of erf integration + telford.input bug report regression test + + +src/interp/ + define.lisp treeshake compiler + parsing.lisp treeshake compiler + vmlisp.lisp treeshake compiler + +\end{verbatim} +\endscroll +\autobuttons +\end{page} + +\end{chunk} + \pagetitle{mar2011}{releasenotes.ht}{March 2011 Release Notes} \pagepic{ps/v71mar2011.eps}{mar2011}{0.60} \pagefrom{What's New in Axiom}{releaseNotes} @@ -2385,7 +2795,7 @@ local include files. The lines that read: #include "foo.h" become - <> + begin{chunk}{foo.h} and get expanded inline. Once you do this it also becomes obvious that many include files get included multiple times (a clear waste of disk I/O and preparser time). Further it becomes clear that there diff -Nru axiom-20110301a/books/bookvol7.pamphlet axiom-20111101/books/bookvol7.pamphlet --- axiom-20110301a/books/bookvol7.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol7.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} @@ -14842,7 +14843,6 @@ sendLispCommand("(|setOutputCharacters| '(default))"); sendLispCommand("(setq |$printLoadMsgs| NIL)"); sendLispCommand("(setq |$UserLevel| '|development|)"); - sendLispCommand("(verbos 0)"); } if (make_patch_files) { pfile = fopen(c, "a"); diff -Nru axiom-20110301a/books/bookvol8.pamphlet axiom-20111101/books/bookvol8.pamphlet --- axiom-20110301a/books/bookvol8.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol8.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} diff -Nru axiom-20110301a/books/bookvol9.pamphlet axiom-20111101/books/bookvol9.pamphlet --- axiom-20110301a/books/bookvol9.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvol9.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} \begin{document} @@ -920,7 +921,7 @@ (PROGN (LETT DV$1 (|devaluate| |#1|) |Equation|) (LETT |dv$| (LIST '|Equation| DV$1) |Equation|) - (LETT $ (GETREFV 98) |Equation|) + (LETT $ (make-array 98) |Equation|) (QSETREFV $ 0 |dv$|) (QSETREFV $ 3 (LETT |pv$| @@ -1113,7 +1114,7 @@ (CONS (|dispatchFunction| |EQ;subst;3$;43|) $)))) $)))) -(MAKEPROP '|Equation| '|infovec| +(setf (get '|Equation| '|infovec|) (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) '|Rep| (0 . |rightZero|) |EQ;lhs;$S;4| (|Factored| $) (5 . |factor|) @@ -1597,7 +1598,7 @@ BOOT::|dispatchFunction| BOOT::|testBitVector| COND BOOT::|Record0| BOOT::|Record| BOOT::|stuffDomainSlots| CONS BOOT::|haddProp| BOOT::|HasCategory| BOOT::|buildPredVector| - SYSTEM:SVSET SETF VMLISP:QSETREFV VMLISP:GETREFV LIST + SYSTEM:SVSET SETF VMLISP:QSETREFV LIST BOOT::|devaluate| BOOT::LETT RETURN) RETURN-TYPE NIL ARG-TYPES (T) NO-EMIT NIL MACROS (BOOT::|dispatchFunction| COND BOOT::|Record| SETF @@ -1704,7 +1705,7 @@ \subsection{The ``loadTimeStuff''} \begin{verbatim} -(MAKEPROP '|Equation| '|infovec| +(setf (get '|Equation| '|infovec|) (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) '|Rep| (0 . |rightZero|) |EQ;lhs;$S;4| (|Factored| $) (5 . |factor|) @@ -3750,7 +3751,7 @@ (setq $comblocklist nil) (setq $skipme nil) (when $preparse-last-line - (if (pairp $preparse-last-line) + (if (consp $preparse-last-line) (setq stack $preparse-last-line) (push $preparse-last-line stack)) (setq $index (- $index (length stack)))) @@ -3949,12 +3950,16 @@ \seebook{preparse1}{strposl}{5} \calls{preparse1}{is-console} \catches{preparse1}{spad-reader} -\usesdollar{preparse1}{linelist} -\usesdollar{preparse1}{echolinestack} -\usesdollar{preparse1}{byConstructors} -\usesdollar{preparse1}{skipme} -\usesdollar{preparse1}{constructorsSeen} -\usesdollar{preparse1}{preparse-last-line} +\refsdollar{preparse1}{echolinestack} +\refsdollar{preparse1}{byConstructors} +\defsdollar{preparse1}{skipme} +\refsdollar{preparse1}{constructorsSeen} +\defsdollar{preparse1}{preparse-last-line} +\refsdollar{preparse1}{preparse-last-line} +\defsdollar{preparse1}{index} +\refsdollar{preparse1}{index} +\refsdollar{preparse1}{linelist} +\refsdollar{preparse1}{in-stream} \begin{chunk}{defun preparse1} (defun preparse1 (linelist) (labels ( @@ -3964,12 +3969,14 @@ (catch 'spad_reader (|doSystemCommand| (subseq line 1)))) ) (prog (($linelist linelist) $echolinestack num line i l psloc - instring pcount comsym strsym oparsym cparsym n ncomsym + instring pcount comsym strsym oparsym cparsym n ncomsym tmp1 (sloc -1) continue (parenlev 0) ncomblock lines locs nums functor) (declare (special $linelist $echolinestack |$byConstructors| $skipme - |$constructorsSeen| $preparse-last-line)) + |$constructorsSeen| $preparse-last-line $index in-stream)) READLOOP - (dcq (num . line) (preparseReadLine linelist)) + (setq tmp1 (preparseReadLine linelist)) + (setq num (car tmp1)) + (setq line (cdr tmp1)) (unless (stringp line) (preparse-echo linelist) (cond @@ -4083,129 +4090,6 @@ (pair (nreverse nums) (parsepiles (nreverse locs) (nreverse lines))))) (go READLOOP)))) -;(defun preparse1 (linelist) -; (prog (($linelist linelist) $echolinestack num a i l psloc -; instring pcount comsym strsym oparsym cparsym n ncomsym -; (sloc -1) (continue nil) (parenlev 0) (ncomblock ()) -; (lines ()) (locs ()) (nums ()) functor) -; (declare (special $linelist $echolinestack |$byConstructors| $skipme -; |$constructorsSeen| $preparse-last-line)) -;READLOOP -; (dcq (num . a) (preparseReadLine linelist)) -; (unless (stringp a) -; (preparse-echo linelist) -; (cond -; ((null lines) (return nil)) -; (ncomblock (fincomblock nil nums locs ncomblock nil))) -; (return -; (pair (nreverse nums) (parsepiles (nreverse locs) (nreverse lines))))) -; ; this is a command line, don't parse it -; (when (and (null lines) (> (length a) 0) (eq (char a 0) #\) )) -; (preparse-echo linelist) -; (setq $preparse-last-line nil) ;don't reread this line -; (setq line a) -; (catch 'spad_reader (|doSystemCommand| (subseq line 1))) -; (go READLOOP)) -; (setq l (length a)) -; ; if we get a null line, read the next line -; (when (eq l 0) (go READLOOP)) -; ; otherwise we have to parse this line -; (setq psloc sloc) -; (setq i 0) -; (setq instring nil) -; (setq pcount 0) -;STRLOOP ;; handle things that need ignoring, quoting, or grouping -; ; are we in a comment, quoting, or grouping situation? -; (setq strsym (or (position #\" a :start i ) l)) -; (setq comsym (or (search "--" a :start2 i ) l)) -; (setq ncomsym (or (search "++" a :start2 i ) l)) -; (setq oparsym (or (position #\( a :start i ) l)) -; (setq cparsym (or (position #\) a :start i ) l)) -; (setq n (min strsym comsym ncomsym oparsym cparsym)) -; (cond -; ; nope, we found no comment, quoting, or grouping -; ((= n l) (go NOCOMS)) -; ((escaped a n)) -; ; scan until we hit the end of the string -; ((= n strsym) (setq instring (not instring))) -; (instring) -; ;; handle -- comments by ignoring them -; ((= n comsym) -; (setq a (subseq a 0 n)) -; (go NOCOMS)) ; discard trailing comment -; ;; handle ++ comments by chunking them together -; ((= n ncomsym) -; (setq sloc (indent-pos a)) -; (cond -; ((= sloc n) -; (when (and ncomblock (not (= n (car ncomblock)))) -; (fincomblock num nums locs ncomblock linelist) -; (setq ncomblock nil)) -; (setq ncomblock (cons n (cons a (ifcdr ncomblock)))) -; (setq a "")) -; (t -; (push (strconc (make-full-cvec n " ") (substring a n ())) $linelist) -; (setq $index (1- $index)) -; (setq a (subseq a 0 n)))) -; (go NOCOMS)) -; ; know how deep we are into parens -; ((= n oparsym) (setq pcount (1+ pcount))) -; ((= n cparsym) (setq pcount (1- pcount)))) -; (setq i (1+ n)) -; (go STRLOOP) -;NOCOMS -; ; remember the indentation level -; (setq sloc (indent-pos a)) -; (setq a (string-right-trim " " a)) -; (when (null sloc) -; (setq sloc psloc) -; (go READLOOP)) -; ; handle line that ends in a continuation character -; (cond -; ((eq (elt a (maxindex a)) #\_) -; (setq continue t) -; (setq a (subseq a (maxindex a)))) -; ((setq continue nil))) -; ; test for skipping constructors -; (when (and (null lines) (= sloc 0)) -; (if (and |$byConstructors| -; (null (search "==>" a)) -; (not -; (member -; (setq functor -; (intern (substring a 0 (strposl ": (=" a 0 nil)))) -; |$byConstructors|))) -; (setq $skipme 't) -; (progn -; (push functor |$constructorsSeen|) -; (setq $skipme nil)))) -; ; is this thing followed by ++ comments? -; (when (and lines (eql sloc 0)) -; (when (and ncomblock (not (zerop (car ncomblock)))) -; (fincomblock num nums locs ncomblock linelist)) -; (when (not (is-console in-stream)) -; (setq $preparse-last-line (nreverse $echolinestack))) -; (return -; (pair (nreverse nums) (parsepiles (nreverse locs) (nreverse lines))))) -; (when (> parenlev 0) -; (push nil locs) -; (setq sloc psloc) -; (go REREAD)) -; (when ncomblock -; (fincomblock num nums locs ncomblock linelist) -; (setq ncomblock ())) -; (push sloc locs) -;REREAD -; (preparse-echo linelist) -; (push a lines) -; (push num nums) -; (setq parenlev (+ parenlev pcount)) -; (when (and (is-console in-stream) (not continue)) -; (setq $preparse-last-line nil) -; (return -; (pair (nreverse nums) (parsepiles (nreverse locs) (nreverse lines))))) -; (go READLOOP))) - \end{chunk} \defun{parsepiles}{parsepiles} @@ -4269,10 +4153,14 @@ \calls{preparseReadLine}{storeblanks} \calls{preparseReadLine}{skip-to-endif} \calls{preparseReadLine}{preparseReadLine} +\refsdollar{preparseReadLine}{*eof*} \begin{chunk}{defun preparseReadLine} (defun preparseReadLine (x) - (let (line ind) - (dcq (ind . line) (preparseReadLine1)) + (let (line ind tmp1) + (declare (special *eof*)) + (setq tmp1 (preparseReadLine1)) + (setq ind (car tmp1)) + (setq line (cdr tmp1)) (cond ((not (stringp line)) (cons ind line)) ((zerop (size line)) (cons ind line)) @@ -4300,8 +4188,10 @@ \calls{skip-ifblock}{storeblanks} \begin{chunk}{defun skip-ifblock} (defun skip-ifblock (x) - (let (line ind) - (dcq (ind . line) (preparseReadLine1)) + (let (line ind tmp1) + (setq tmp1 (preparseReadLine1)) + (setq ind (car tmp1)) + (setq line (cdr tmp1)) (cond ((not (stringp line)) (cons ind line)) @@ -4380,224 +4270,6 @@ \end{chunk} -\defvar{current-fragment} -A string containing remaining chars from readline; needed because -Symbolics read-line returns embedded newlines in a c-m-Y. -\begin{chunk}{initvars} -(defvar current-fragment nil) - -\end{chunk} - -\defun{read-a-line}{read-a-line} -\calls{read-a-line}{subseq} -\calls{read-a-line}{Line-New-Line} -\calls{read-a-line}{read-a-line} -\uses{read-a-line}{*eof*} -\begin{chunk}{defun read-a-line} -(defun read-a-line (&optional (stream t)) - (let (cp) - (declare (special *eof*)) - (if (and Current-Fragment (> (length Current-Fragment) 0)) - (let ((line (with-input-from-string - (s Current-Fragment :index cp :start 0) - (read-line s nil nil)))) - (setq Current-Fragment (subseq Current-Fragment cp)) - line) - (prog nil - (when (stream-eof in-stream) - (setq File-Closed t) - (setq *eof* t) - (Line-New-Line (make-string 0) Current-Line) - (return nil)) - (when (setq Current-Fragment (read-line stream)) - (return (read-a-line stream))))))) - -\end{chunk} - -\section{Line Handling} - -\subsection{Line Buffer} -The philosophy of lines is that -\begin{itemize} -\item NEXT LINE will always return a non-blank line or fail. -\item Every line is terminated by a blank character. -\end{itemize} -Hence there is always a current character, because there is never a -non-blank line, and there is always a separator character between tokens -on separate lines. Also, when a line is read, the character pointer is -always positioned ON the first character. -\defstruct{line} -\begin{chunk}{initvars} -(defstruct line "Line of input file to parse." - (buffer (make-string 0) :type string) - (current-char #\Return :type character) - (current-index 1 :type fixnum) - (last-index 0 :type fixnum) - (number 0 :type fixnum)) - -\end{chunk} - -\defvar{current-line} -The current input line. -\begin{chunk}{initvars} -(defvar current-line (make-line)) - -\end{chunk} - - -\defmacro{line-clear} -\usesstruct{line-clear}{line} -\begin{chunk}{defmacro line-clear} -(defmacro line-clear (line) - `(let ((l ,line)) - (setf (line-buffer l) (make-string 0)) - (setf (line-current-char l) #\return) - (setf (line-current-index l) 1) - (setf (line-last-index l) 0) - (setf (line-number l) 0))) - -\end{chunk} - -\defun{line-print}{line-print} -\usesstruct{line-print}{line} -\begin{chunk}{defun line-print} -(defun line-print (line) - (format out-stream "~&~5D> ~A~%" (Line-Number line) (Line-Buffer Line)) - (format out-stream "~v@T^~%" (+ 7 (Line-Current-Index line)))) - -\end{chunk} - -\defun{line-at-end-p}{line-at-end-p} -\usesstruct{line-at-end-p}{line} -\begin{chunk}{defun line-at-end-p} -(defun line-at-end-p (line) - "Tests if line is empty or positioned past the last character." - (>= (line-current-index line) (line-last-index line))) - -\end{chunk} - -\defun{line-past-end-p}{line-past-end-p} -\usesstruct{line-past-end-p}{line} -\begin{chunk}{defun line-past-end-p} -(defun line-past-end-p (line) - "Tests if line is empty or positioned past the last character." - (> (line-current-index line) (line-last-index line))) - -\end{chunk} - -\defun{line-next-char}{line-next-char} -\usesstruct{line-next-char}{line} -\begin{chunk}{defun line-next-char} -(defun line-next-char (line) - (elt (line-buffer line) (1+ (line-current-index line)))) - -\end{chunk} - -\defun{line-advance-char}{line-advance-char} -\usesstruct{line-advance-char}{line} -\begin{chunk}{defun line-advance-char} -(defun line-advance-char (line) - (setf (line-current-char line) - (elt (line-buffer line) (incf (line-current-index line))))) - -\end{chunk} - -\defun{line-current-segment}{line-current-segment} -\usesstruct{line-print}{line} -\begin{chunk}{defun line-current-segment} -(defun line-current-segment (line) - "Buffer from current index to last index." - (if (line-at-end-p line) - (make-string 0) - (subseq (line-buffer line) - (line-current-index line) - (line-last-index line)))) - -\end{chunk} - -\defun{line-new-line}{line-new-line} -\usesstruct{line-new-line}{line} -\begin{chunk}{defun line-new-line} -(defun line-new-line (string line &optional (linenum nil)) - "Sets string to be the next line stored in line." - (setf (line-last-index line) (1- (length string))) - (setf (line-current-index line) 0) - (setf (line-current-char line) - (or (and (> (length string) 0) (elt string 0)) #\Return)) - (setf (line-buffer line) string) - (setf (line-number line) (or linenum (1+ (line-number line))))) - -\end{chunk} - -\defun{next-line}{next-line} -\begin{chunk}{defun next-line} -(defun next-line (&optional (in-stream t)) - (funcall Line-Handler in-stream)) - -\end{chunk} - -\defun{Advance-Char}{Advance-Char} -\calls{Advance-Char}{Line-At-End-P} -\calls{Advance-Char}{Line-Advance-Char} -\calls{Advance-Char}{next-line} -\calls{Advance-Char}{current-char} -\usesstruct{Advance-Char}{line} -\begin{chunk}{defun Advance-Char} -(defun Advance-Char () - "Advances IN-STREAM, invoking Next Line if necessary." - (loop - (cond - ((not (Line-At-End-P Current-Line)) - (return (Line-Advance-Char Current-Line))) - ((next-line in-stream) - (return (current-char))) - ((return nil))))) - -\end{chunk} - -\defun{storeblanks}{storeblanks} -\begin{chunk}{defun storeblanks} -(defun storeblanks (line n) - (do ((i 0 (1+ i))) - ((= i n) line) - (setf (char line i) #\ ))) - -\end{chunk} - -\defun{initial-substring}{initial-substring} -\calls{initial-substring}{mismatch} -\begin{chunk}{defun initial-substring} -(defun initial-substring (pattern line) - (let ((ind (mismatch pattern line))) - (or (null ind) (eql ind (size pattern))))) - -\end{chunk} - -\defun{get-a-line}{get-a-line} -\calls{get-a-line}{is-console} -\seebook{get-a-line}{mkprompt}{5} -\calls{get-a-line}{read-a-line} -\calls{get-a-line}{make-string-adjustable} -\begin{chunk}{defun get-a-line} -(defun get-a-line (stream) - (when (is-console stream) (princ (mkprompt))) - (let ((ll (read-a-line stream))) - (if (stringp ll) - (make-string-adjustable ll) - ll))) - -\end{chunk} - -\defun{make-string-adjustable}{make-string-adjustable} -\begin{chunk}{defun make-string-adjustable} -(defun make-string-adjustable (s) - (if (adjustable-array-p s) - s - (make-array (array-dimensions s) :element-type 'string-char - :adjustable t :initial-contents s))) - -\end{chunk} - \subsection{Parsing stack} \defstruct{stack} \begin{chunk}{initvars} @@ -4771,16 +4443,16 @@ (g (op) (let (tmp1 tmp2 x) (seq - (if (and (pairp op) (eq (qcar op) '|elt|) + (if (and (consp op) (eq (qfirst op) '|elt|) (progn - (setq tmp1 (qcdr op)) - (and (pairp tmp1) + (setq tmp1 (qrest op)) + (and (consp tmp1) (progn - (setq op (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) - (progn (setq x (qcar tmp2)) t)))))) + (setq op (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) + (progn (setq x (qfirst tmp2)) t)))))) (exit (g x))) (exit op))))) (let (|$op| argl u r fn) @@ -4795,7 +4467,7 @@ (cond ((eq u '|construct|) (setq r (|parseConstruct| argl)) - (if (and (pairp |$op|) (eq (qcar |$op|) '|elt|)) + (if (and (consp |$op|) (eq (qfirst |$op|) '|elt|)) (cons (|parseTran| |$op|) (cdr r)) r)) ((and (atom u) (setq fn (getl u '|parseTran|))) @@ -4870,7 +4542,6 @@ $>= parseDollarGreaterEqual $^= parseDollarNotEqual eqv parseEquivalence -;;xor parseExclusiveOr exit parseExit > parseGreaterThan >= parseGreaterEqual @@ -4954,9 +4625,9 @@ (defun |parseType| (x) (declare (special |$EmptyMode| |$quadSymbol|)) (setq x (msubst |$EmptyMode| |$quadSymbol| x)) - (if (and (pairp x) (eq (qcar x) '|typeOf|) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil)) - (list '|typeOf| (|parseTran| (qcar (qcdr x)))) + (if (and (consp x) (eq (qfirst x) '|typeOf|) + (consp (qrest x)) (eq (qcddr x) nil)) + (list '|typeOf| (|parseTran| (qsecond x))) x)) \end{chunk} @@ -4986,12 +4657,12 @@ \begin{chunk}{defun parseDropAssertions} (defun |parseDropAssertions| (x) (cond - ((not (pairp x)) x) - ((and (pairp (qcar x)) (eq (qcar (qcar x)) 'if) - (pairp (qcdr (qcar x))) - (eq (qcar (qcdr (qcar x))) '|asserted|)) - (|parseDropAssertions| (qcdr x))) - (t (cons (qcar x) (|parseDropAssertions| (qcdr x)))))) + ((not (consp x)) x) + ((and (consp (qfirst x)) (eq (qcaar x) 'if) + (consp (qcdar x)) + (eq (qcadar x) '|asserted|)) + (|parseDropAssertions| (qrest x))) + (t (cons (qfirst x) (|parseDropAssertions| (qrest x)))))) \end{chunk} @@ -5026,13 +4697,14 @@ \calls{parseColon}{parseTran} \calls{parseColon}{parseType} \usesdollar{parseColon}{InteractiveMode} -\usesdollar{parseColon}{insideConstructIfTrue} +\refsdollar{parseColon}{insideConstructIfTrue} \begin{chunk}{defun parseColon} (defun |parseColon| (arg) + (declare (special |$insideConstructIfTrue|)) (cond - ((and (pairp arg) (eq (qcdr arg) nil)) + ((and (consp arg) (eq (qrest arg) nil)) (list '|:| (|parseTran| (first arg)))) - ((and (pairp arg) (pairp (qcdr arg)) (eq (qcdr (qcdr arg)) nil)) + ((and (consp arg) (consp (qrest arg)) (eq (qcddr arg) nil)) (if |$InteractiveMode| (if |$insideConstructIfTrue| (list 'tag (|parseTran| (first arg)) @@ -5104,7 +4776,6 @@ \defun{transIs1}{transIs1} \calls{transIs1}{qcar} \calls{transIs1}{qcdr} -\calls{transIs1}{pairp} \calls{transIs1}{nreverse0} \calls{transIs1}{transIs} \calls{transIs1}{transIs1} @@ -5112,29 +4783,29 @@ (defun |transIs1| (u) (let (x h v tmp3) (cond - ((and (pairp u) (eq (qcar u) '|construct|)) - (dolist (x (qcdr u) (nreverse0 tmp3)) + ((and (consp u) (eq (qfirst u) '|construct|)) + (dolist (x (qrest u) (nreverse0 tmp3)) (push (|transIs| x) tmp3))) - ((and (pairp u) (eq (qcar u) '|append|) (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) (eq (qcdr (qcdr (qcdr u))) nil)) - (setq x (qcar (qcdr u))) + ((and (consp u) (eq (qfirst u) '|append|) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil)) + (setq x (qsecond u)) (setq h (list '|:| (|transIs| x))) - (setq v (|transIs1| (qcar (qcdr (qcdr u))))) + (setq v (|transIs1| (qthird u))) (cond - ((and (pairp v) (eq (qcar v) '|:|) - (pairp (qcdr v)) (eq (qcdr (qcdr v)) nil)) - (list h (qcar (qcdr v)))) + ((and (consp v) (eq (qfirst v) '|:|) + (consp (qrest v)) (eq (qcddr v) nil)) + (list h (qsecond v))) ((eq v '|nil|) (car (cdr h))) ((atom v) (list h (list '|:| v))) (t (cons h v)))) - ((and (pairp u) (eq (qcar u) '|cons|) (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) (eq (qcdr (qcdr (qcdr u))) nil)) - (setq h (|transIs| (qcar (qcdr u)))) - (setq v (|transIs1| (qcar (qcdr (qcdr u))))) - (cond - ((and (pairp v) (eq (qcar v) '|:|) (pairp (qcdr v)) - (eq (qcdr (qcdr v)) nil)) - (cons h (list (qcar (qcdr v))))) + ((and (consp u) (eq (qfirst u) '|cons|) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil)) + (setq h (|transIs| (qsecond u))) + (setq v (|transIs1| (qthird u))) + (cond + ((and (consp v) (eq (qfirst v) '|:|) (consp (qrest v)) + (eq (qcddr v) nil)) + (cons h (list (qsecond v)))) ((eq v '|nil|) (cons h nil)) ((atom v) (list h (list '|:| v))) (t (cons h v)))) @@ -5146,7 +4817,7 @@ \calls{isListConstructor}{member} \begin{chunk}{defun isListConstructor} (defun |isListConstructor| (u) - (and (pairp u) (|member| (qcar u) '(|construct| |append| |cons|)))) + (and (consp u) (|member| (qfirst u) '(|construct| |append| |cons|)))) \end{chunk} @@ -5331,18 +5002,18 @@ (declare (special |$InteractiveMode|)) (when |$InteractiveMode| (setq arg (|unabbrevAndLoad| arg))) (cond - ((and (pairp arg) (eq (qcar arg) '|:|) (pairp (qcdr arg)) - (pairp (qcdr (qcdr arg))) (eq (qcdr (qcdr (qcdr arg))) nil) - (pairp (qcar (qcdr (qcdr arg)))) - (eq (qcar (qcar (qcdr (qcdr arg)))) '|Mapping|)) + ((and (consp arg) (eq (qfirst arg) '|:|) (consp (qrest arg)) + (consp (qcddr arg)) (eq (qcdddr arg) nil) + (consp (qthird arg)) + (eq (qcaaddr arg) '|Mapping|)) (setq map (rest (third arg))) (setq op (second arg)) (setq op (if (stringp op) (intern op) op)) (list (list 'signature op map))) - ((and (pairp arg) (eq (qcar arg) '|Join|)) + ((and (consp arg) (eq (qfirst arg) '|Join|)) (dolist (z (rest arg) tmp4) (setq tmp4 (append tmp4 (fn z))))) - ((and (pairp arg) (eq (qcar arg) 'category)) + ((and (consp arg) (eq (qfirst arg) 'category)) (dolist (z (rest arg) tmp6) (setq tmp6 (append tmp6 (fn z))))) (t @@ -5350,9 +5021,9 @@ (cond ((or (eq kk '|domain|) (eq kk '|category|)) (list (|makeNonAtomic| arg))) - ((and (pairp arg) (eq (qcar arg) 'attribute)) + ((and (consp arg) (eq (qfirst arg) 'attribute)) (list arg)) - ((and (pairp arg) (eq (qcar arg) 'signature)) + ((and (consp arg) (eq (qfirst arg) 'signature)) (list arg)) (|$InteractiveMode| (|parseHasRhs| arg)) @@ -5364,8 +5035,8 @@ (setq tmp1 (|get| x '|value| |$CategoryFrame|)) (when |$InteractiveMode| (setq x - (if (and (pairp tmp1) (pairp (qcdr tmp1)) (pairp (qcdr (qcdr tmp1))) - (eq (qcdr (qcdr (qcdr tmp1))) nil) + (if (and (consp tmp1) (consp (qrest tmp1)) (consp (qcddr tmp1)) + (eq (qcdddr tmp1) nil) (|member| (second tmp1) '((|Mode|) (|Domain|) (|SubDomain| (|Domain|))))) (first tmp1) @@ -5373,8 +5044,8 @@ (setq tmp2 (dolist (u (fn (second arg)) (nreverse0 tmp3)) (push (list '|has| x u ) tmp3))) - (if (and (pairp tmp2) (eq (qcdr tmp2) nil)) - (qcar tmp2) + (if (and (consp tmp2) (eq (qrest tmp2) nil)) + (qfirst tmp2) (cons '|and| tmp2))))) \end{chunk} @@ -5394,8 +5065,8 @@ (declare (special |$CategoryFrame|)) (setq tmp1 (|get| u '|value| |$CategoryFrame|)) (cond - ((and (pairp tmp1) (pairp (qcdr tmp1)) - (pairp (qcdr (qcdr tmp1))) (eq (qcdr (qcdr (qcdr tmp1))) nil) + ((and (consp tmp1) (consp (qrest tmp1)) + (consp (qcddr tmp1)) (eq (qcdddr tmp1) nil) (|member| (second tmp1) '((|Mode|) (|Domain|) (|SubDomain| (|Domain|))))) (second tmp1)) @@ -5407,6 +5078,146 @@ \end{chunk} +\defun{loadIfNecessary}{loadIfNecessary} +\calls{loadIfNecessary}{loadLibIfNecessary} +\begin{chunk}{defun loadIfNecessary} +(defun |loadIfNecessary| (u) + (|loadLibIfNecessary| u t)) + +\end{chunk} + +\defun{loadLibIfNecessary}{loadLibIfNecessary} +\calls{loadLibIfNecessary}{loadLibIfNecessary} +\calls{loadLibIfNecessary}{functionp} +\calls{loadLibIfNecessary}{macrop} +\calls{loadLibIfNecessary}{getl} +\calls{loadLibIfNecessary}{loadLib} +\calls{loadLibIfNecessary}{lassoc} +\calls{loadLibIfNecessary}{getProplist} +\calls{loadLibIfNecessary}{getdatabase} +\calls{loadLibIfNecessary}{updateCategoryFrameForCategory} +\calls{loadLibIfNecessary}{updateCategoryFrameForConstructor} +\calls{loadLibIfNecessary}{throwKeyedMsg} +\refsdollar{loadLibIfNecessary}{CategoryFrame} +\refsdollar{loadLibIfNecessary}{InteractiveMode} +\begin{chunk}{defun loadLibIfNecessary} +(defun |loadLibIfNecessary| (u mustExist) + (let (value y) + (declare (special |$CategoryFrame| |$InteractiveMode|)) + (cond + ((eq u '|$EmptyMode|) u) + ((null (atom u)) (|loadLibIfNecessary| (car u) mustExist)) + (t + (setq value + (cond + ((or (|functionp| u) (|macrop| u)) u) + ((getl u 'loaded) u) + ((|loadLib| u) u))) + (cond + ((and (null |$InteractiveMode|) + (or (null (setq y (|getProplist| u |$CategoryFrame|))) + (and (null (lassoc '|isFunctor| y)) + (null (lassoc '|isCategory| y))))) + (if (setq y (getdatabase u 'constructorkind)) + (if (eq y '|category|) + (|updateCategoryFrameForCategory| u) + (|updateCategoryFrameForConstructor| u)) + (|throwKeyedMsg| 's2il0005 (list u)))) + (t value)))))) + +\end{chunk} + +\defun{updateCategoryFrameForConstructor}{updateCategoryFrameForConstructor} +\calls{updateCategoryFrameForConstructor}{getdatabase} +\calls{updateCategoryFrameForConstructor}{put} +\calls{updateCategoryFrameForConstructor}{convertOpAlist2compilerInfo} +\calls{updateCategoryFrameForConstructor}{addModemap} +\refsdollar{updateCategoryFrameForConstructor}{CategoryFrame} +\defsdollar{updateCategoryFrameForConstructor}{CategoryFrame} +\begin{chunk}{defun updateCategoryFrameForConstructor} +(defun |updateCategoryFrameForConstructor| (constructor) + (let (opAlist tmp1 dc sig pred impl) + (declare (special |$CategoryFrame|)) + (setq opalist (getdatabase constructor 'operationalist)) + (setq tmp1 (getdatabase constructor 'constructormodemap)) + (setq dc (caar tmp1)) + (setq sig (cdar tmp1)) + (setq pred (caadr tmp1)) + (setq impl (cadadr tmp1)) + (setq |$CategoryFrame| + (|put| constructor '|isFunctor| + (|convertOpAlist2compilerInfo| opAlist) + (|addModemap| constructor dc sig pred impl + (|put| constructor '|mode| (cons '|Mapping| sig) |$CategoryFrame|)))))) + +\end{chunk} + +\defun{convertOpAlist2compilerInfo}{convertOpAlist2compilerInfo} +\begin{chunk}{defun convertOpAlist2compilerInfo} +(defun |convertOpAlist2compilerInfo| (opalist) + (labels ( + (formatSig (op arg2) + (let (typelist slot stuff pred impl) + (setq typelist (car arg2)) + (setq slot (cadr arg2)) + (setq stuff (cddr arg2)) + (setq pred (if stuff (car stuff) t)) + (setq impl (if (cdr stuff) (cadr stuff) 'elt)) + (list (list op typelist) pred (list impl '$ slot))))) + (let (data result) + (setq data + (loop for item in opalist + collect + (loop for sig in (rest item) + collect (formatSig (car item) sig)))) + (dolist (term data result) + (setq result (append result term)))))) + +\end{chunk} + +\defun{updateCategoryFrameForCategory}{updateCategoryFrameForCategory} +\calls{updateCategoryFrameForCategory}{getdatabase} +\calls{updateCategoryFrameForCategory}{put} +\calls{updateCategoryFrameForCategory}{addModemap} +\refsdollar{updateCategoryFrameForCategory}{CategoryFrame} +\defsdollar{updateCategoryFrameForCategory}{CategoryFrame} +\begin{chunk}{defun updateCategoryFrameForCategory} +(defun |updateCategoryFrameForCategory| (category) + (let (tmp1 dc sig pred impl) + (declare (special |$CategoryFrame|)) + (setq tmp1 (getdatabase category 'constructormodemap)) + (setq dc (caar tmp1)) + (setq sig (cdar tmp1)) + (setq pred (caadr tmp1)) + (setq impl (cadadr tmp1)) + (setq |$CategoryFrame| + (|put| category '|isCategory| t + (|addModemap| category dc sig pred impl |$CategoryFrame|))))) + +\end{chunk} + +\defplist{if}{parseIf} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'if '|parseTran|) '|parseIf|)) + +\end{chunk} + +\defun{parseIf}{parseIf} +\calls{parseIf}{parseIf,ifTran} +\calls{parseIf}{parseTran} +\begin{chunk}{defun parseIf} +(defun |parseIf| (arg) + (if (null (and (consp arg) (consp (qrest arg)) + (consp (qcddr arg)) (eq (qcdddr arg) nil))) + arg + (|parseIf,ifTran| + (|parseTran| (first arg)) + (|parseTran| (second arg)) + (|parseTran| (third arg))))) + +\end{chunk} + \defun{parseIf,ifTran}{parseIf,ifTran} \calls{parseIf,ifTran}{parseIf,ifTran} \calls{parseIf,ifTran}{incExitLevel} @@ -5415,49 +5226,49 @@ \calls{parseIf,ifTran}{parseTran} \usesdollar{parseIf,ifTran}{InteractiveMode} \begin{chunk}{defun parseIf,ifTran} -(defun |parseIf,ifTran| (p a b) +(defun |parseIf,ifTran| (pred a b) (let (pp z ap bp tmp1 tmp2 tmp3 tmp4 tmp5 tmp6 val s) (declare (special |$InteractiveMode|)) (cond - ((and (null |$InteractiveMode|) (eq p '|true|)) + ((and (null |$InteractiveMode|) (eq pred '|true|)) a) - ((and (null |$InteractiveMode|) (eq p '|false|)) + ((and (null |$InteractiveMode|) (eq pred '|false|)) b) - ((and (pairp p) (eq (qcar p) '|not|) - (pairp (qcdr p)) (eq (qcdr (qcdr p)) nil)) - (|parseIf,ifTran| (second p) b a)) - ((and (pairp p) (eq (qcar p) 'if) + ((and (consp pred) (eq (qfirst pred) '|not|) + (consp (qrest pred)) (eq (qcddr pred) nil)) + (|parseIf,ifTran| (second pred) b a)) + ((and (consp pred) (eq (qfirst pred) 'if) (progn - (setq tmp1 (qcdr p)) - (and (pairp tmp1) + (setq tmp1 (qrest pred)) + (and (consp tmp1) (progn - (setq pp (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (setq pp (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) (progn - (setq ap (qcar tmp2)) - (setq tmp3 (qcdr tmp2)) - (and (pairp tmp3) - (eq (qcdr tmp3) nil) - (progn (setq bp (qcar tmp3)) t)))))))) + (setq ap (qfirst tmp2)) + (setq tmp3 (qrest tmp2)) + (and (consp tmp3) + (eq (qrest tmp3) nil) + (progn (setq bp (qfirst tmp3)) t)))))))) (|parseIf,ifTran| pp (|parseIf,ifTran| ap (copy a) (copy b)) (|parseIf,ifTran| bp a b))) - ((and (pairp p) (eq (qcar p) 'seq) - (pairp (qcdr p)) (progn (setq tmp2 (reverse (qcdr p))) t) - (and (pairp tmp2) - (pairp (qcar tmp2)) - (eq (qcar (qcar tmp2)) '|exit|) + ((and (consp pred) (eq (qfirst pred) 'seq) + (consp (qrest pred)) (progn (setq tmp2 (reverse (qrest pred))) t) + (and (consp tmp2) + (consp (qfirst tmp2)) + (eq (qcaar tmp2) '|exit|) (progn - (setq tmp4 (qcdr (qcar tmp2))) - (and (pairp tmp4) - (equal (qcar tmp4) 1) + (setq tmp4 (qcdar tmp2)) + (and (consp tmp4) + (equal (qfirst tmp4) 1) (progn - (setq tmp5 (qcdr tmp4)) - (and (pairp tmp5) - (eq (qcdr tmp5) nil) - (progn (setq pp (qcar tmp5)) t))))) - (progn (setq z (qcdr tmp2)) t)) + (setq tmp5 (qrest tmp4)) + (and (consp tmp5) + (eq (qrest tmp5) nil) + (progn (setq pp (qfirst tmp5)) t))))) + (progn (setq z (qrest tmp2)) t)) (progn (setq z (nreverse z)) t)) (cons 'seq (append z @@ -5465,69 +5276,47 @@ (list '|exit| 1 (|parseIf,ifTran| pp (|incExitLevel| a) (|incExitLevel| b))))))) - ((and (pairp a) (eq (qcar a) 'if) (pairp (qcdr a)) - (equal (qcar (qcdr a)) p) (pairp (qcdr (qcdr a))) - (pairp (qcdr (qcdr (qcdr a)))) - (eq (qcdr (qcdr (qcdr (qcdr a)))) nil)) - (list 'if p (third a) b)) - ((and (pairp b) (eq (qcar b) 'if) - (pairp (qcdr b)) (equal (qcar (qcdr b)) p) - (pairp (qcdr (qcdr b))) - (pairp (qcdr (qcdr (qcdr b)))) - (eq (qcdr (qcdr (qcdr (qcdr b)))) nil)) - (list 'if p a (fourth b))) + ((and (consp a) (eq (qfirst a) 'if) (consp (qrest a)) + (equal (qsecond a) pred) (consp (qcddr a)) + (consp (qcdddr a)) + (eq (qcddddr a) nil)) + (list 'if pred (third a) b)) + ((and (consp b) (eq (qfirst b) 'if) + (consp (qrest b)) (equal (qsecond b) pred) + (consp (qcddr b)) + (consp (qcdddr b)) + (eq (qcddddr b) nil)) + (list 'if pred a (fourth b))) ((progn - (setq tmp1 (|makeSimplePredicateOrNil| p)) - (and (pairp tmp1) (eq (qcar tmp1) 'seq) + (setq tmp1 (|makeSimplePredicateOrNil| pred)) + (and (consp tmp1) (eq (qfirst tmp1) 'seq) (progn - (setq tmp2 (qcdr tmp1)) - (and (and (pairp tmp2) + (setq tmp2 (qrest tmp1)) + (and (and (consp tmp2) (progn (setq tmp3 (reverse tmp2)) t)) - (and (pairp tmp3) + (and (consp tmp3) (progn - (setq tmp4 (qcar tmp3)) - (and (pairp tmp4) (eq (qcar tmp4) '|exit|) + (setq tmp4 (qfirst tmp3)) + (and (consp tmp4) (eq (qfirst tmp4) '|exit|) (progn - (setq tmp5 (qcdr tmp4)) - (and (pairp tmp5) (equal (qcar tmp5) 1) + (setq tmp5 (qrest tmp4)) + (and (consp tmp5) (equal (qfirst tmp5) 1) (progn - (setq tmp6 (qcdr tmp5)) - (and (pairp tmp6) (eq (qcdr tmp6) nil) - (progn (setq val (qcar tmp6)) t))))))) - (progn (setq s (qcdr tmp3)) t)))))) + (setq tmp6 (qrest tmp5)) + (and (consp tmp6) (eq (qrest tmp6) nil) + (progn (setq val (qfirst tmp6)) t))))))) + (progn (setq s (qrest tmp3)) t)))))) (setq s (nreverse s)) (|parseTran| (cons 'seq (append s (list (list '|exit| 1 (|incExitLevel| (list 'if val a b)))))))) (t - (list 'if p a b ))))) + (list 'if pred a b ))))) \end{chunk} -\defplist{if}{parseIf} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'if '|parseTran|) '|parseIf|)) - -\end{chunk} - -\defun{parseIf}{parseIf} -\calls{parseIf}{parseIf,ifTran} -\calls{parseIf}{parseTran} -\begin{chunk}{defun parseIf} -(defun |parseIf| (arg) - (if (null (and (pairp arg) (pairp (qcdr arg)) - (pairp (qcdr (qcdr arg))) (eq (qcdr (qcdr (qcdr arg))) nil))) - arg - (|parseIf,ifTran| - (|parseTran| (first arg)) - (|parseTran| (second arg)) - (|parseTran| (third arg))))) - -\end{chunk} - -\defplist{implies}{parseImplies} +\defplist{implies}{parseImplies} \begin{chunk}{postvars} (eval-when (eval load) (setf (get '|implies| '|parseTran|) '|parseImplies|)) @@ -5558,32 +5347,32 @@ (setq i (|parseTran| (first arg))) (setq n (|parseTran| (second arg))) (cond - ((and (pairp n) (eq (qcar n) 'segment) - (pairp (qcdr n)) (eq (qcdr (qcdr n)) nil)) + ((and (consp n) (eq (qfirst n) 'segment) + (consp (qrest n)) (eq (qcddr n) nil)) (list 'step i (second n) 1)) - ((and (pairp n) (eq (qcar n) '|reverse|) - (pairp (qcdr n)) (eq (qcdr (qcdr n)) nil) - (pairp (qcar (qcdr n))) (eq (qcar (qcar (qcdr n))) 'segment) - (pairp (qcdr (qcar (qcdr n)))) - (eq (qcdr (qcdr (qcar (qcdr n)))) nil)) + ((and (consp n) (eq (qfirst n) '|reverse|) + (consp (qrest n)) (eq (qcddr n) nil) + (consp (qsecond n)) (eq (qcaadr n) 'segment) + (consp (qcdadr n)) + (eq (qcddadr n) nil)) (|postError| (list " You cannot reverse an infinite sequence." ))) - ((and (pairp n) (eq (qcar n) 'segment) - (pairp (qcdr n)) (pairp (qcdr (qcdr n))) - (eq (qcdr (qcdr (qcdr n))) nil)) + ((and (consp n) (eq (qfirst n) 'segment) + (consp (qrest n)) (consp (qcddr n)) + (eq (qcdddr n) nil)) (if (third n) (list 'step i (second n) 1 (third n)) (list 'step i (second n) 1))) - ((and (pairp n) (eq (qcar n) '|reverse|) - (pairp (qcdr n)) (eq (qcdr (qcdr n)) nil) - (pairp (qcar (qcdr n))) (eq (qcar (qcar (qcdr n))) 'segment) - (pairp (qcdr (qcar (qcdr n)))) - (pairp (qcdr (qcdr (qcar (qcdr n))))) - (eq (qcdr (qcdr (qcdr (qcar (qcdr n))))) nil)) + ((and (consp n) (eq (qfirst n) '|reverse|) + (consp (qrest n)) (eq (qcddr n) nil) + (consp (qsecond n)) (eq (qcaadr n) 'segment) + (consp (qcdadr n)) + (consp (qcddadr n)) + (eq (qrest (qcddadr n)) nil)) (if (third (second n)) (list 'step i (third (second n)) -1 (second (second n))) (|postError| (list " You cannot reverse an infinite sequence.")))) - ((and (pairp n) (eq (qcar n) '|tails|) - (pairp (qcdr n)) (eq (qcdr (qcdr n)) nil)) + ((and (consp n) (eq (qfirst n) '|tails|) + (consp (qrest n)) (eq (qcddr n) nil)) (list 'on i (second n))) (t (list 'in i n))))) @@ -5610,10 +5399,10 @@ (setq inc (third arg)) (setq u (|parseIn| (list i n))) (cond - ((null (and (pairp u) (eq (qcar u) 'step) - (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) - (pairp (qcdr (qcdr (qcdr u)))))) + ((null (and (consp u) (eq (qfirst u) 'step) + (consp (qrest u)) + (consp (qcddr u)) + (consp (qcdddr u)))) (|postError| (cons '| You cannot use| (append (|bright| "by") @@ -5677,7 +5466,7 @@ (cond ((null arg) nil) - ((and (pairp arg) (pairp (qcar arg)) (eq (qcar (qcar arg)) '|Join|)) + ((and (consp arg) (consp (qfirst arg)) (eq (qcaar arg) '|Join|)) (append (cdar arg) (fn (rest arg)))) (t (cons (first arg) (fn (rest arg)))))) @@ -5860,8 +5649,8 @@ (|$InteractiveMode| (cons '|or| (|parseTranList| arg))) ((null arg) '|false|) ((null (cdr arg)) (car arg)) - ((and (pairp x) (eq (qcar x) '|not|) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil)) + ((and (consp x) (eq (qfirst x) '|not|) + (consp (qrest x)) (eq (qcddr x) nil)) (|parseIf| (list (second x) (|parseOr| (cdr arg)) '|true|))) (t (|parseIf| (list x '|true| (|parseOr| (cdr arg)))))))) @@ -5924,7 +5713,7 @@ \calls{parseSegment}{parseTran} \begin{chunk}{defun parseSegment} (defun |parseSegment| (arg) - (if (and (pairp arg) (pairp (qcdr arg)) (eq (qcdr (qcdr arg)) nil)) + (if (and (consp arg) (consp (qrest arg)) (eq (qcddr arg) nil)) (if (second arg) (list 'segment (|parseTran| (first arg)) (|parseTran| (second arg))) (list 'segment (|parseTran| (first arg)))) @@ -5947,9 +5736,9 @@ \begin{chunk}{defun parseSeq} (defun |parseSeq| (arg) (let (tmp1) - (when (pairp arg) (setq tmp1 (reverse arg))) - (if (null (and (pairp arg) (pairp tmp1) - (pairp (qcar tmp1)) (eq (qcar (qcar tmp1)) '|exit|))) + (when (consp arg) (setq tmp1 (reverse arg))) + (if (null (and (consp arg) (consp tmp1) + (consp (qfirst tmp1)) (eq (qcaar tmp1) '|exit|))) (|postError| (list " Invalid ending to block: " (|last| arg))) (|transSeq| (|mapInto| arg '|parseTran|))))) @@ -5986,4546 +5775,12088 @@ \end{chunk} \chapter{Compile Transformers} -\section{Direct called comp routines} -\section{Indirect called comp routines} -In the {\bf compExpression} function there is the code: -\begin{verbatim} - (if (and (atom (car x)) (setq fn (getl (car x) 'special))) - (funcall fn x m e) - (|compForm| x m e)))) -\end{verbatim} -The functions in this section are called through the symbol-plist -of the symbol being parsed. The original list read: +\defdollar{NoValueMode} +\begin{chunk}{initvars} +(defvar |$NoValueMode| '|NoValueMode|) -\begin{verbatim} - (|add| |compAdd|) -; (\@ |compAtSign|) - (CAPSULE |compCapsule|) - (|case| |compCase|) - (|Mapping| |compCat|) - (|Record| |compCat|) - (|Union| |compCat|) - (CATEGORY |compCategory|) - (\:\: |compCoerce|) - (COLLECTV |compCollectV|) -; (\: |compColon|) - (CONS |compCons|) - (|ListCategory| |compConstructorCategory|) - (|RecordCategory| |compConstructorCategory|) - (|UnionCategory| |compConstructorCategory|) - (|VectorCategory| |compConstructorCategory|) - (|construct| |compConstruct|) - (DEF |compDefine|) - (|elt| |compElt|) - (|exit| |compExit|) - (|has| |compHas|) - (IF |compIf|) - (|import| |compImport|) - (|is| |compIs|) - (|Join| |compJoin|) - (|+->| |compLambda|) - (|leave| |compLeave|) - (MDEF |compMacro|) - (QUOTE |compQuote|) - (|pretend| |compPretend|) - (REDUCE |compReduce|) - (COLLECT |compRepeatOrCollect|) - (REPEAT |compRepeatOrCollect|) - (|return| |compReturn|) - (LET |compSetq|) - (SETQ |compSetq|) -; (SEQ |compSeq|) - (|String| |compString|) - (|SubDomain| |compSubDomain|) - (|SubsetCategory| |compSubsetCategory|) - (\| |compSuchthat|) -; (VECTOR |compVector|) -; (|where| |compWhere|) -\end{verbatim} +\end{chunk} -\defplist{@}{compAtSign} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|add| 'special) '|compAdd|)) +\defdollar{EmptyMode} +\verb|$EmptyMode| is a contant whose value is \verb|$EmptyMode|. +It is used by isPartialMode to +decide if a modemap is partially constructed. If the \verb|$EmptyMode| +constant occurs anywhere in the modemap structure at any depth +then the modemap is still incomplete. To find this constant the +isPartialMode function calls CONTAINED \verb|$EmptyMode| $Y$ +which will walk the structure $Y$ looking for this constant. +\begin{chunk}{initvars} +(defvar |$EmptyMode| '|EmptyMode|) \end{chunk} -\defun{compAdd}{compAdd} -\calls{compAdd}{comp} -\calls{compAdd}{qcdr} -\calls{compAdd}{qcar} -\calls{compAdd}{compSubDomain1} -\calls{compAdd}{pairp} -\calls{compAdd}{nreverse0} -\calls{compAdd}{NRTgetLocalIndex} -\calls{compAdd}{compTuple2Record} -\calls{compAdd}{compOrCroak} -\calls{compAdd}{compCapsule} -\uses{compAdd}{/editfile} -\usesdollar{compAdd}{addForm} -\usesdollar{compAdd}{addFormLhs} -\usesdollar{compAdd}{EmptyMode} -\usesdollar{compAdd}{NRTaddForm} -\usesdollar{compAdd}{packagesUsed} -\usesdollar{compAdd}{functorForm} -\usesdollar{compAdd}{bootStrapMode} -\begin{chunk}{defun compAdd} -(defun |compAdd| (arg m e) - (let (|$addForm| |$addFormLhs| code domainForm predicate tmp3 tmp4) - (declare (special |$addForm| |$addFormLhs| |$EmptyMode| |$NRTaddForm| - |$packagesUsed| |$functorForm| |$bootStrapMode| /editfile)) - (setq |$addForm| (second arg)) - (cond - ((eq |$bootStrapMode| t) - (cond - ((and (pairp |$addForm|) (eq (qcar |$addForm|) '|@Tuple|)) - (setq code nil)) - (t - (setq tmp3 (|comp| |$addForm| m e)) - (setq code (first tmp3)) - (setq m (second tmp3)) - (setq e (third tmp3)) tmp3)) - (list - (list 'cond - (list '|$bootStrapMode| code) - (list 't - (list '|systemError| - (list 'list ''|%b| (mkq (car |$functorForm|)) ''|%d| "from" - ''|%b| (mkq (|namestring| /editfile)) ''|%d| - "needs to be compiled")))) - m e)) - (t - (setq |$addFormLhs| |$addForm|) - (cond - ((and (pairp |$addForm|) (eq (qcar |$addForm|) '|SubDomain|) - (pairp (qcdr |$addForm|)) (pairp (qcdr (qcdr |$addForm|))) - (eq (qcdr (qcdr (qcdr |$addForm|))) nil)) - (setq domainForm (second |$addForm|)) - (setq predicate (third |$addForm|)) - (setq |$packagesUsed| (cons domainForm |$packagesUsed|)) - (setq |$NRTaddForm| domainForm) - (|NRTgetLocalIndex| domainForm) - ; need to generate slot for add form since all $ go-get - ; slots will need to access it - (setq tmp3 (|compSubDomain1| domainForm predicate m e)) - (setq |$addForm| (first tmp3)) - (setq e (third tmp3)) tmp3) - (t - (setq |$packagesUsed| - (if (and (pairp |$addForm|) (eq (qcar |$addForm|) '|@Tuple|)) - (append (qcdr |$addForm|) |$packagesUsed|) - (cons |$addForm| |$packagesUsed|))) - (setq |$NRTaddForm| |$addForm|) - (setq tmp3 - (cond - ((and (pairp |$addForm|) (eq (qcar |$addForm|) '|@Tuple|)) - (setq |$NRTaddForm| - (cons '|@Tuple| - (dolist (x (cdr |$addForm|) (nreverse0 tmp4)) - (push (|NRTgetLocalIndex| x) tmp4)))) - (|compOrCroak| (|compTuple2Record| |$addForm|) |$EmptyMode| e)) - (t - (|compOrCroak| |$addForm| |$EmptyMode| e)))) - (setq |$addForm| (first tmp3)) - (setq e (third tmp3)) - tmp3)) - (|compCapsule| (third arg) m e))))) +\section{Routines for handling forms} +The functions in this section are called through the symbol-plist +of the symbol being parsed. +\begin{itemize} +\item \verb|add| \refto{compAdd}(form mode env) $\rightarrow$ (form mode env) +\item \verb|@| \refto{compAtSign}(form mode env) $\rightarrow$ +\item \verb|CAPSULE| \refto{compCapsule}(form mode env) $\rightarrow$ +\item \verb|case| \refto{compCase}(form mode env) $\rightarrow$ +\item \verb|Mapping| \refto{compCat}(form mode env) $\rightarrow$ +\item \verb|Record| \refto{compCat}(form mode env) $\rightarrow$ +\item \verb|Union| \refto{compCat}(form mode env) $\rightarrow$ +\item \verb|CATEGORY| \refto{compCategory}(form mode env) $\rightarrow$ +\item \verb|::| \refto{compCoerce}(form mode env) $\rightarrow$ +\item \verb|:| \refto{compColon}(form mode env) $\rightarrow$ +\item \verb|CONS| \refto{compCons}(form mode env) $\rightarrow$ +\item \verb|construct| \refto{compConstruct}(form mode env) $\rightarrow$ +\item \verb|ListCategory| \refto{compConstructorCategory}(form mode env) +$\rightarrow$ +\item \verb|RecordCategory| \refto{compConstructorCategory}(form mode env) +$\rightarrow$ +\item \verb|UnionCategory| \refto{compConstructorCategory}(form mode env) +$\rightarrow$ +\item \verb|VectorCategory| \refto{compConstructorCategory}(form mode env) +$\rightarrow$ +\item \verb|DEF| \refto{compDefine}(form mode env) $\rightarrow$ +\item \verb|elt| \refto{compElt}(form mode env) $\rightarrow$ +\item \verb|exit| \refto{compExit}(form mode env) $\rightarrow$ +\item \verb|has| \refto{compHas}(pred mode \verb|$e|) $\rightarrow$ +\item \verb|IF| \refto{compIf}(form mode env) $\rightarrow$ +\item \verb|import| \refto{compImport}(form mode env) $\rightarrow$ +\item \verb|is| \refto{compIs}(form mode env) $\rightarrow$ +\item \verb|Join| \refto{compJoin}(form mode env) $\rightarrow$ +\item \verb|+->| \refto{compLambda}(form mode env) $\rightarrow$ +\item \verb|leave| \refto{compLeave}(form mode env) $\rightarrow$ +\item \verb|MDEF| \refto{compMacro}(form mode env) $\rightarrow$ +\item \verb|pretend| \refto{compPretend} $\rightarrow$ +\item \verb|QUOTE| \refto{compQuote}(form mode env) $\rightarrow$ +\item \verb|REDUCE| \refto{compReduce}(form mode env) $\rightarrow$ +\item \verb|COLLECT| \refto{compRepeatOrCollect}(form mode env) $\rightarrow$ +\item \verb|REPEAT| \refto{compRepeatOrCollect}(form mode env) $\rightarrow$ +\item \verb|return| \refto{compReturn}(form mode env) $\rightarrow$ +\item \verb|SEQ| \refto{compSeq}(form mode env) $\rightarrow$ +\item \verb|LET| \refto{compSetq}(form mode env) $\rightarrow$ +\item \verb|SETQ| \refto{compSetq}(form mode env) $\rightarrow$ +\item \verb|String| \refto{compString}(form mode env) $\rightarrow$ +\item \verb|SubDomain| \refto{compSubDomain}(form mode env) $\rightarrow$ +\item \verb|SubsetCategory| \refto{compSubsetCategory}(form mode env) +$\rightarrow$ +\item \verb?|? \refto{compSuchthat}(form mode env) $\rightarrow$ +\item \verb|VECTOR| \refto{compVector}(form mode env) $\rightarrow$ +\item \verb|where| \refto{compWhere}(form mode eInit) $\rightarrow$ +\end{itemize} -\end{chunk} +\section{Functions which handle == statements} -\defplist{@}{compAtSign} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|@| 'special) '|compAtSign|)) +\defun{compDefineAddSignature}{compDefineAddSignature} +\calls{compDefineAddSignature}{hasFullSignature} +\calls{compDefineAddSignature}{assoc} +\calls{compDefineAddSignature}{lassoc} +\calls{compDefineAddSignature}{getProplist} +\calls{compDefineAddSignature}{comp} +\usesdollar{compDefineAddSignature}{EmptyMode} +\begin{chunk}{defun compDefineAddSignature} +(defun |compDefineAddSignature| (form signature env) + (let (sig declForm) + (declare (special |$EmptyMode|)) + (if + (and (setq sig (|hasFullSignature| (rest form) signature env)) + (null (|assoc| (cons '$ sig) + (lassoc '|modemap| (|getProplist| (car form) env))))) + (progn + (setq declForm + (list '|:| + (cons (car form) + (loop for x in (rest form) + for m in (rest sig) + collect (list '|:| x m))) + (car signature))) + (third (|comp| declForm |$EmptyMode| env))) + env))) \end{chunk} -\defun{compAtSign}{compAtSign} -\calls{compAtSign}{addDomain} -\calls{compAtSign}{comp} -\calls{compAtSign}{coerce} -\begin{chunk}{defun compAtSign} -(defun |compAtSign| (arg1 m e) - (let ((x (second arg1)) (mprime (third arg1)) tmp) - (setq e (|addDomain| mprime e)) - (when (setq tmp (|comp| x mprime e)) (|coerce| tmp m)))) +\defun{hasFullSignature}{hasFullSignature} +\tpdhere{test with BASTYPE} +\calls{hasFullSignature}{get} +\begin{chunk}{defun hasFullSignature} +(defun |hasFullSignature| (argl signature env) + (let (target ml u) + (setq target (first signature)) + (setq ml (rest signature)) + (when target + (setq u + (loop for x in argl for m in ml + collect (or m (|get| x '|mode| env) (return 'failed)))) + (unless (eq u 'failed) (cons target u))))) \end{chunk} -\defplist{capsule}{compCapsule} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'capsule 'special) '|compCapsule|)) +\defun{addEmptyCapsuleIfNecessary}{addEmptyCapsuleIfNecessary} +\calls{addEmptyCapsuleIfNecessary}{kar} +\usesdollar{addEmptyCapsuleIfNecessary}{SpecialDomainNames} +\begin{chunk}{defun addEmptyCapsuleIfNecessary} +(defun |addEmptyCapsuleIfNecessary| (target rhs) + (declare (special |$SpecialDomainNames|) (ignore target)) + (if (member (kar rhs) |$SpecialDomainNames|) + rhs + (list '|add| rhs (list 'capsule)))) \end{chunk} -\defun{compCapsule}{compCapsule} -\calls{compCapsule}{bootStrapError} -\calls{compCapsule}{compCapsuleInner} -\calls{compCapsule}{addDomain} -\uses{compCapsule}{editfile} -\usesdollar{compCapsule}{insideExpressionIfTrue} -\usesdollar{compCapsule}{functorForm} -\usesdollar{compCapsule}{bootStrapMode} -\begin{chunk}{defun compCapsule} -(defun |compCapsule| (arg m e) - (let (|$insideExpressionIfTrue| itemList) - (declare (special |$insideExpressionIfTrue| |$functorForm| /editfile - |$bootStrapMode|)) - (setq itemList (cdr arg)) +\defun{getTargetFromRhs}{getTargetFromRhs} +\calls{getTargetFromRhs}{stackSemanticError} +\calls{getTargetFromRhs}{getTargetFromRhs} +\calls{getTargetFromRhs}{compOrCroak} +\begin{chunk}{defun getTargetFromRhs} +(defun |getTargetFromRhs| (lhs rhs env) + (declare (special |$EmptyMode|)) (cond - ((eq |$bootStrapMode| t) - (list (|bootStrapError| |$functorForm| /editfile) m e)) - (t - (setq |$insideExpressionIfTrue| nil) - (|compCapsuleInner| itemList m (|addDomain| '$ e)))))) + ((and (consp rhs) (eq (qfirst rhs) 'capsule)) + (|stackSemanticError| + (list "target category of " lhs + " cannot be determined from definition") + nil)) + ((and (consp rhs) (eq (qfirst rhs) '|SubDomain|) (consp (qrest rhs))) + (|getTargetFromRhs| lhs (second rhs) env)) + ((and (consp rhs) (eq (qfirst rhs) '|add|) + (consp (qrest rhs)) (consp (qcddr rhs)) + (eq (qcdddr rhs) nil) + (consp (qthird rhs)) + (eq (qcaaddr rhs) 'capsule)) + (|getTargetFromRhs| lhs (second rhs) env)) + ((and (consp rhs) (eq (qfirst rhs) '|Record|)) + (cons '|RecordCategory| (rest rhs))) + ((and (consp rhs) (eq (qfirst rhs) '|Union|)) + (cons '|UnionCategory| (rest rhs))) + ((and (consp rhs) (eq (qfirst rhs) '|List|)) + (cons '|ListCategory| (rest rhs))) + ((and (consp rhs) (eq (qfirst rhs) '|Vector|)) + (cons '|VectorCategory| (rest rhs))) + (t + (second (|compOrCroak| rhs |$EmptyMode| env))))) \end{chunk} -\defun{compCapsuleInner}{compCapsuleInner} -\calls{compCapsuleInner}{addInformation} -\calls{compCapsuleInner}{compCapsuleItems} -\calls{compCapsuleInner}{processFunctorOrPackage} -\calls{compCapsuleInner}{mkpf} -\usesdollar{compCapsuleInner}{getDomainCode} -\usesdollar{compCapsuleInner}{signature} -\usesdollar{compCapsuleInner}{form} -\usesdollar{compCapsuleInner}{addForm} -\usesdollar{compCapsuleInner}{insideCategoryPackageIfTrue} -\usesdollar{compCapsuleInner}{insideCategoryIfTrue} -\usesdollar{compCapsuleInner}{functorLocalParameters} -\begin{chunk}{defun compCapsuleInner} -(defun |compCapsuleInner| (itemList m e) - (let (localParList data code) - (declare (special |$getDomainCode| |$signature| |$form| |$addForm| - |$insideCategoryPackageIfTrue| |$insideCategoryIfTrue| - |$functorLocalParameters|)) - (setq e (|addInformation| m e)) - (setq data (cons 'progn itemList)) - (setq e (|compCapsuleItems| itemList nil e)) - (setq localParList |$functorLocalParameters|) - (when |$addForm| (setq data (list '|add| |$addForm| data))) - (setq code - (if (and |$insideCategoryIfTrue| (null |$insideCategoryPackageIfTrue|)) - data - (|processFunctorOrPackage| |$form| |$signature| data localParList m e))) - (cons (mkpf (append |$getDomainCode| (list code)) 'progn) (list m e)))) +\defun{giveFormalParametersValues}{giveFormalParametersValues} +\calls{giveFormalParametersValues}{put} +\calls{giveFormalParametersValues}{get} +\begin{chunk}{defun giveFormalParametersValues} +(defun |giveFormalParametersValues| (argl env) + (dolist (x argl) + (setq env + (|put| x '|value| + (list (|genSomeVariable|) (|get| x '|mode| env) nil) env))) + env) \end{chunk} -\defplist{case}{compCase} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|case| 'special) '|compCase|)) +\defun{macroExpandInPlace}{macroExpandInPlace} +\calls{macroExpandInPlace}{macroExpand} +\begin{chunk}{defun macroExpandInPlace} +(defun |macroExpandInPlace| (form env) + (let (y) + (setq y (|macroExpand| form env)) + (if (or (atom form) (atom y)) + y + (progn + (rplaca form (car y)) + (rplacd form (cdr y)) + form + )))) \end{chunk} -\defun{compCase}{compCase} -Will the jerk who commented out these two functions please NOT do so -again. These functions ARE needed, and case can NOT be done by -modemap alone. The reason is that A case B requires to take A -evaluated, but B unevaluated. Therefore a special function is -required. You may have thought that you had tested this on ``failed'' -etc., but ``failed'' evaluates to it's own mode. Try it on x case \$ -next time. +\defun{macroExpand}{macroExpand} +\calls{macroExpand}{macroExpand} +\calls{macroExpand}{macroExpandList} +\begin{chunk}{defun macroExpand} +(defun |macroExpand| (form env) + (let (u) + (cond + ((atom form) + (if (setq u (|get| form '|macro| env)) + (|macroExpand| u env) + form)) + ((and (consp form) (eq (qfirst form) 'def) + (consp (qrest form)) + (consp (qcddr form)) + (consp (qcdddr form)) + (consp (qcddddr form)) + (eq (qrest (qcddddr form)) nil)) + (list 'def (|macroExpand| (second form) env) + (|macroExpandList| (third form) env) + (|macroExpandList| (fourth form) env) + (|macroExpand| (fifth form) env))) + (t (|macroExpandList| form env))))) -An angry JHD - August 15th., 1984 -\calls{compCase}{addDomain} -\calls{compCase}{compCase1} -\calls{compCase}{coerce} -\begin{chunk}{defun compCase} -(defun |compCase| (arg m e) - (let (mp td) - (setq mp (third arg)) - (setq e (|addDomain| mp e)) - (when (setq td (|compCase1| (second arg) mp e)) (|coerce| td m)))) +\end{chunk} + +\defun{macroExpandList}{macroExpandList} +\calls{macroExpandList}{macroExpand} +\calls{macroExpandList}{getdatabase} +\begin{chunk}{defun macroExpandList} +(defun |macroExpandList| (lst env) + (let (tmp) + (if (and (consp lst) (eq (qrest lst) nil) + (identp (qfirst lst)) (getdatabase (qfirst lst) 'niladic) + (setq tmp (|get| (qfirst lst) '|macro| env))) + (|macroExpand| tmp env) + (loop for x in lst collect (|macroExpand| x env))))) \end{chunk} -\defun{compCase1}{compCase1} -\calls{compCase1}{comp} -\calls{compCase1}{getModemapList} -\calls{compCase1}{nreverse0} -\calls{compCase1}{modeEqual} -\usesdollar{compCase1}{Boolean} -\usesdollar{compCase1}{EmptyMode} -\begin{chunk}{defun compCase1} -(defun |compCase1| (x m e) - (let (xp mp ep map tmp3 tmp5 tmp6 u fn) - (declare (special |$Boolean| |$EmptyMode|)) - (when (setq tmp3 (|comp| x |$EmptyMode| e)) - (setq xp (first tmp3)) - (setq mp (second tmp3)) - (setq ep (third tmp3)) - (when - (setq u - (dolist (modemap (|getModemapList| '|case| 2 ep) (nreverse0 tmp5)) - (setq map (first modemap)) - (when - (and (pairp map) (pairp (qcdr map)) (pairp (qcdr (qcdr map))) - (pairp (qcdr (qcdr (qcdr map)))) - (eq (qcdr (qcdr (qcdr (qcdr map)))) nil) - (|modeEqual| (fourth map) m) - (|modeEqual| (third map) mp)) - (push (second modemap) tmp5)))) - (when - (setq fn - (dolist (onepair u tmp6) - (when (first onepair) (setq tmp6 (or tmp6 (second onepair)))))) - (list (list '|call| fn xp) |$Boolean| ep)))))) +\defun{compDefineCategory1}{compDefineCategory1} +\calls{compDefineCategory1}{compDefineCategory2} +\calls{compDefineCategory1}{makeCategoryPredicates} +\calls{compDefineCategory1}{compDefine1} +\calls{compDefineCategory1}{mkCategoryPackage} +\usesdollar{compDefineCategory1}{insideCategoryPackageIfTrue} +\usesdollar{compDefineCategory1}{EmptyMode} +\usesdollar{compDefineCategory1}{categoryPredicateList} +\usesdollar{compDefineCategory1}{lisplibCategory} +\usesdollar{compDefineCategory1}{bootStrapMode} +\begin{chunk}{defun compDefineCategory1} +(defun |compDefineCategory1| (df mode env prefix fal) + (let (|$insideCategoryPackageIfTrue| |$categoryPredicateList| form + sig sc cat body categoryCapsule d tmp1 tmp3) + (declare (special |$insideCategoryPackageIfTrue| |$EmptyMode| + |$categoryPredicateList| |$lisplibCategory| + |$bootStrapMode|)) + ;; a category is a DEF form with 4 parts: + ;; ((DEF (|BasicType|) ((|Category|)) (NIL) + ;; (|add| (CATEGORY |domain| (SIGNATURE = ((|Boolean|) $ $)) + ;; (SIGNATURE ~= ((|Boolean|) $ $))) + ;; (CAPSULE (DEF (~= |x| |y|) ((|Boolean|) $ $) (NIL NIL NIL) + ;; (IF (= |x| |y|) |false| |true|)))))) + (setq form (second df)) + (setq sig (third df)) + (setq sc (fourth df)) + (setq body (fifth df)) + (setq categoryCapsule + (when (and (consp body) (eq (qfirst body) '|add|) + (consp (qrest body)) (consp (qcddr body)) + (eq (qcdddr body) nil)) + (setq tmp1 (third body)) + (setq body (second body)) + tmp1)) + (setq tmp3 (|compDefineCategory2| form sig sc body mode env prefix fal)) + (setq d (first tmp3)) + (setq mode (second tmp3)) + (setq env (third tmp3)) + (when (and categoryCapsule (null |$bootStrapMode|)) + (setq |$insideCategoryPackageIfTrue| t) + (setq |$categoryPredicateList| + (|makeCategoryPredicates| form |$lisplibCategory|)) + (setq env (third + (|compDefine1| + (|mkCategoryPackage| form cat categoryCapsule) |$EmptyMode| env)))) + (list d mode env))) \end{chunk} -\defplist{Record}{compCat} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Record| 'special) '|compCat|)) +\defun{makeCategoryPredicates}{makeCategoryPredicates} +\usesdollar{makeCategoryPredicates}{FormalMapVariableList} +\usesdollar{makeCategoryPredicates}{TriangleVariableList} +\usesdollar{makeCategoryPredicates}{mvl} +\usesdollar{makeCategoryPredicates}{tvl} +\begin{chunk}{defun makeCategoryPredicates} +(defun |makeCategoryPredicates| (form u) + (labels ( + (fn (u pl) + (declare (special |$tvl| |$mvl|)) + (cond + ((and (consp u) (eq (qfirst u) '|Join|) (consp (qrest u))) + (fn (car (reverse (qrest u))) pl)) + ((and (consp u) (eq (qfirst u) '|has|)) + (|insert| (eqsubstlist |$mvl| |$tvl| u) pl)) + ((and (consp u) (member (qfirst u) '(signature attribute))) pl) + ((atom u) pl) + (t (fnl u pl)))) + (fnl (u pl) + (dolist (x u) (setq pl (fn x pl))) + pl)) + (declare (special |$FormalMapVariableList| |$mvl| |$tvl| + |$TriangleVariableList|)) + (setq |$tvl| (take (|#| (cdr form)) |$TriangleVariableList|)) + (setq |$mvl| (take (|#| (cdr form)) (cdr |$FormalMapVariableList|))) + (fn u nil))) \end{chunk} -\defplist{Mapping}{compCat} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Mapping| 'special) '|compCat|)) +\defun{mkCategoryPackage}{mkCategoryPackage} +\calls{mkCategoryPackage}{strconc} +\calls{mkCategoryPackage}{pname} +\calls{mkCategoryPackage}{getdatabase} +\calls{mkCategoryPackage}{abbreviationsSpad2Cmd} +\calls{mkCategoryPackage}{JoinInner} +\calls{mkCategoryPackage}{assoc} +\calls{mkCategoryPackage}{sublislis} +\calls{mkCategoryPackage}{msubst} +\usesdollar{mkCategoryPackage}{options} +\usesdollar{mkCategoryPackage}{categoryPredicateList} +\usesdollar{mkCategoryPackage}{e} +\usesdollar{mkCategoryPackage}{FormalMapVariableList} +\begin{chunk}{defun mkCategoryPackage} +(defun |mkCategoryPackage| (form cat def) + (labels ( + (fn (x oplist) + (cond + ((atom x) oplist) + ((and (consp x) (eq (qfirst x) 'def) (consp (qrest x))) + (cons (second x) oplist)) + (t + (fn (cdr x) (fn (car x) oplist))))) + (gn (cat) + (cond + ((and (consp cat) (eq (qfirst cat) 'category)) (cddr cat)) + ((and (consp cat) (eq (qfirst cat) '|Join|)) (gn (|last| (qrest cat)))) + (t nil)))) + (let (|$options| op argl packageName packageAbb nameForDollar packageArgl + capsuleDefAlist explicitCatPart catvec fullCatOpList op1 sig + catOpList packageCategory nils packageSig) + (declare (special |$options| |$categoryPredicateList| |$e| + |$FormalMapVariableList|)) + (setq op (car form)) + (setq argl (cdr form)) + (setq packageName (intern (strconc (pname op) "&"))) + (setq packageAbb (intern (strconc (getdatabase op 'abbreviation) "-"))) + (setq |$options| nil) + (|abbreviationsSpad2Cmd| (list '|domain| packageAbb packageName)) + (setq nameForDollar (car (setdifference '(s a b c d e f g h i) argl))) + (setq packageArgl (cons nameForDollar argl)) + (setq capsuleDefAlist (fn def nil)) + (setq explicitCatPart (gn cat)) + (setq catvec (|eval| (|mkEvalableCategoryForm| form))) + (setq fullCatOpList (elt (|JoinInner| (list catvec) |$e|) 1)) + (setq catOpList + (loop for x in fullCatOpList do + (setq op1 (caar x)) + (setq sig (cadar x)) + when (|assoc| op1 capsuleDefAlist) + collect (list 'signature op1 sig))) + (when catOpList + (setq packageCategory + (cons 'category + (cons '|domain| (sublislis argl |$FormalMapVariableList| catOpList)))) + (setq nils (loop for x in argl collect nil)) + (setq packageSig (cons packageCategory (cons form nils))) + (setq |$categoryPredicateList| + (msubst nameForDollar '$ |$categoryPredicateList|)) + (msubst nameForDollar '$ + (list 'def (cons packageName packageArgl) + packageSig (cons nil nils) def)))))) \end{chunk} -\defplist{Union}{compCat} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Union| 'special) '|compCat|)) +\defun{mkEvalableCategoryForm}{mkEvalableCategoryForm} +\calls{mkEvalableCategoryForm}{qcar} +\calls{mkEvalableCategoryForm}{qcdr} +\calls{mkEvalableCategoryForm}{mkEvalableCategoryForm} +\calls{mkEvalableCategoryForm}{compOrCroak} +\calls{mkEvalableCategoryForm}{getdatabase} +\calls{mkEvalableCategoryForm}{get} +\calls{mkEvalableCategoryForm}{mkq} +\refsdollar{mkEvalableCategoryForm}{Category} +\refsdollar{mkEvalableCategoryForm}{e} +\refsdollar{mkEvalableCategoryForm}{EmptyMode} +\refsdollar{mkEvalableCategoryForm}{CategoryFrame} +\refsdollar{mkEvalableCategoryForm}{Category} +\refsdollar{mkEvalableCategoryForm}{CategoryNames} +\defsdollar{mkEvalableCategoryForm}{e} +\begin{chunk}{defun mkEvalableCategoryForm} +(defun |mkEvalableCategoryForm| (c) + (let (op argl tmp1 x m) + (declare (special |$Category| |$e| |$EmptyMode| |$CategoryFrame| + |$CategoryNames|)) + (if (consp c) + (progn + (setq op (qfirst c)) + (setq argl (qrest c)) + (cond + ((eq op '|Join|) + (cons '|Join| + (loop for x in argl + collect (|mkEvalableCategoryForm| x)))) + ((eq op '|DomainSubstitutionMacro|) + (|mkEvalableCategoryForm| (cadr argl))) + ((eq op '|mkCategory|) c) + ((member op |$CategoryNames|) + (setq tmp1 (|compOrCroak| c |$EmptyMode| |$e|)) + (setq x (car tmp1)) + (setq m (cadr tmp1)) + (setq |$e| (caddr tmp1)) + (when (equal m |$Category|) x)) + ((or (eq (getdatabase op 'constructorkind) '|category|) + (|get| op '|isCategory| |$CategoryFrame|)) + (cons op + (loop for x in argl + collect (mkq x)))) + (t + (setq tmp1 (|compOrCroak| c |$EmptyMode| |$e|)) + (setq x (car tmp1)) + (setq m (cadr tmp1)) + (setq |$e| (caddr tmp1)) + (when (equal m |$Category|) x)))) + (mkq c)))) + +\end{chunk} + +\defun{compDefineCategory2}{compDefineCategory2} +\calls{compDefineCategory2}{addBinding} +\calls{compDefineCategory2}{getArgumentModeOrMoan} +\calls{compDefineCategory2}{giveFormalParametersValues} +\calls{compDefineCategory2}{take} +\calls{compDefineCategory2}{sublis} +\calls{compDefineCategory2}{compMakeDeclaration} +\calls{compDefineCategory2}{nequal} +\calls{compDefineCategory2}{opOf} +\calls{compDefineCategory2}{optFunctorBody} +\calls{compDefineCategory2}{compOrCroak} +\calls{compDefineCategory2}{mkConstructor} +\calls{compDefineCategory2}{compile} +\calls{compDefineCategory2}{lisplibWrite} +\calls{compDefineCategory2}{removeZeroOne} +\calls{compDefineCategory2}{mkq} +\calls{compDefineCategory2}{evalAndRwriteLispForm} +\calls{compDefineCategory2}{eval} +\calls{compDefineCategory2}{getParentsFor} +\calls{compDefineCategory2}{computeAncestorsOf} +\calls{compDefineCategory2}{constructor?} +\calls{compDefineCategory2}{augLisplibModemapsFromCategory} +\usesdollar{compDefineCategory2}{prefix} +\refsdollar{compDefineCategory2}{formalArgList} +\refsdollar{compDefineCategory2}{definition} +\refsdollar{compDefineCategory2}{form} +\refsdollar{compDefineCategory2}{op} +\refsdollar{compDefineCategory2}{extraParms} +\refsdollar{compDefineCategory2}{lisplibCategory} +\refsdollar{compDefineCategory2}{FormalMapVariableList} +\refsdollar{compDefineCategory2}{libFile} +\refsdollar{compDefineCategory2}{TriangleVariableList} +\refsdollar{compDefineCategory2}{lisplib} +\defsdollar{compDefineCategory2}{formalArgList} +\defsdollar{compDefineCategory2}{insideCategoryIfTrue} +\defsdollar{compDefineCategory2}{top-level} +\defsdollar{compDefineCategory2}{definition} +\defsdollar{compDefineCategory2}{form} +\defsdollar{compDefineCategory2}{op} +\defsdollar{compDefineCategory2}{extraParms} +\defsdollar{compDefineCategory2}{functionStats} +\defsdollar{compDefineCategory2}{functorStats} +\defsdollar{compDefineCategory2}{frontier} +\defsdollar{compDefineCategory2}{getDomainCode} +\defsdollar{compDefineCategory2}{addForm} +\defsdollar{compDefineCategory2}{lisplibAbbreviation} +\defsdollar{compDefineCategory2}{functorForm} +\defsdollar{compDefineCategory2}{lisplibAncestors} +\defsdollar{compDefineCategory2}{lisplibCategory} +\defsdollar{compDefineCategory2}{lisplibParents} +\defsdollar{compDefineCategory2}{lisplibModemap} +\defsdollar{compDefineCategory2}{lisplibKind} +\defsdollar{compDefineCategory2}{lisplibForm} +\defsdollar{compDefineCategory2}{domainShell} +\begin{chunk}{defun compDefineCategory2} +(defun |compDefineCategory2| + (form signature specialCases body mode env |$prefix| |$formalArgList|) + (declare (special |$prefix| |$formalArgList|) (ignore specialCases)) + (let (|$insideCategoryIfTrue| $TOP_LEVEL |$definition| |$form| |$op| + |$extraParms| |$functionStats| |$functorStats| |$frontier| + |$getDomainCode| |$addForm| argl sargl aList signaturep opp formp + formalBody formals actuals g fun pairlis parSignature parForm modemap) + (declare (special |$insideCategoryIfTrue| $top_level |$definition| + |$form| |$op| |$extraParms| |$functionStats| + |$functorStats| |$frontier| |$getDomainCode| + |$addForm| |$lisplibAbbreviation| |$functorForm| + |$lisplibAncestors| |$lisplibCategory| + |$FormalMapVariableList| |$lisplibParents| + |$lisplibModemap| |$lisplibKind| |$lisplibForm| + $lisplib |$domainShell| |$libFile| + |$TriangleVariableList|)) +; 1. bind global variables + (setq |$insideCategoryIfTrue| t) + (setq $top_level nil) + (setq |$definition| nil) + (setq |$form| nil) + (setq |$op| nil) + (setq |$extraParms| nil) +; 1.1 augment e to add declaration $:
+ (setq |$definition| form) + (setq |$op| (car |$definition|)) + (setq argl (cdr |$definition|)) + (setq env (|addBinding| '$ (list (cons '|mode| |$definition|)) env)) +; 2. obtain signature + (setq signaturep + (cons (car signature) + (loop for a in argl + collect (|getArgumentModeOrMoan| a |$definition| env)))) + (setq env (|giveFormalParametersValues| argl env)) +; 3. replace arguments by $1,..., substitute into body, +; and introduce declarations into environment + (setq sargl (take (|#| argl) |$TriangleVariableList|)) + (setq |$form| (cons |$op| sargl)) + (setq |$functorForm| |$form|) + (setq |$formalArgList| (append sargl |$formalArgList|)) + (setq aList (loop for a in argl for sa in sargl collect (cons a sa))) + (setq formalBody (sublis aList body)) + (setq signaturep (sublis aList signaturep)) + ; Begin lines for category default definitions + (setq |$functionStats| (list 0 0)) + (setq |$functorStats| (list 0 0)) + (setq |$frontier| 0) + (setq |$getDomainCode| nil) + (setq |$addForm| nil) + (loop for x in sargl for r in (rest signaturep) + do (setq env (third (|compMakeDeclaration| (list '|:| x r) mode env)))) +; 4. compile body in environment of %type declarations for arguments + (setq opp |$op|) + (when (and (nequal (|opOf| formalBody) '|Join|) + (nequal (|opOf| formalBody) '|mkCategory|)) + (setq formalBody (list '|Join| formalBody))) + (setq body + (|optFunctorBody| (car (|compOrCroak| formalBody (car signaturep) env)))) + (when |$extraParms| + (setq actuals nil) + (setq formals nil) + (loop for u in |$extraParms| do + (setq formals (cons (car u) formals)) + (setq actuals (cons (mkq (cdr u)) actuals))) + (setq body + (list '|sublisV| (list 'pair (list 'quote formals) (cons 'list actuals)) + body))) +; always subst for args after extraparms + (when argl + (setq body + (list '|sublisV| + (list 'pair + (list 'quote sargl) + (cons 'list (loop for u in sargl collect (list '|devaluate| u)))) + body))) + (setq body + (list 'prog1 (list 'let (setq g (gensym)) body) + (list 'setelt g 0 (|mkConstructor| |$form|)))) + (setq fun (|compile| (list opp (list 'lam sargl body)))) +; 5. give operator a 'modemap property + (setq pairlis + (loop for a in argl for v in |$FormalMapVariableList| + collect (cons a v))) + (setq parSignature (sublis pairlis signaturep)) + (setq parForm (sublis pairlis form)) + (|lisplibWrite| "compilerInfo" + (|removeZeroOne| + (list 'setq '|$CategoryFrame| + (list '|put| (list 'quote opp) ''|isCategory| t + (list '|addModemap| (mkq opp) (mkq parForm) + (mkq parSignature) t (mkq fun) '|$CategoryFrame|)))) + |$libFile|) + (unless sargl + (|evalAndRwriteLispForm| 'niladic + `(setf (get ',opp 'niladic) t))) +;; 6 put modemaps into InteractiveModemapFrame + (setq |$domainShell| (|eval| (cons opp (mapcar 'mkq sargl)))) + (setq |$lisplibCategory| formalBody) + (when $lisplib + (setq |$lisplibForm| form) + (setq |$lisplibKind| '|category|) + (setq modemap (list (cons parForm parSignature) (list t opp))) + (setq |$lisplibModemap| modemap) + (setq |$lisplibParents| + (|getParentsFor| |$op| |$FormalMapVariableList| |$lisplibCategory|)) + (setq |$lisplibAncestors| (|computeAncestorsOf| |$form| nil)) + (setq |$lisplibAbbreviation| (|constructor?| |$op|)) + (setq formp (cons opp sargl)) + (|augLisplibModemapsFromCategory| formp formalBody signaturep)) + (list fun '(|Category|) env))) + +\end{chunk} + +\defun{compile}{compile} +\calls{compile}{member} +\calls{compile}{getmode} +\calls{compile}{qcar} +\calls{compile}{qcdr} +\calls{compile}{get} +\calls{compile}{modeEqual} +\calls{compile}{userError} +\calls{compile}{encodeItem} +\calls{compile}{strconc} +\calls{compile}{nequal} +\calls{compile}{kar} +\calls{compile}{encodeFunctionName} +\calls{compile}{splitEncodedFunctionName} +\calls{compile}{sayBrightly} +\calls{compile}{optimizeFunctionDef} +\calls{compile}{putInLocalDomainReferences} +\calls{compile}{constructMacro} +\calls{compile}{spadCompileOrSetq} +\calls{compile}{elapsedTime} +\calls{compile}{addStats} +\calls{compile}{printStats} +\refsdollar{compile}{functionStats} +\refsdollar{compile}{macroIfTrue} +\refsdollar{compile}{doNotCompileJustPrint} +\refsdollar{compile}{insideCapsuleFunctionIfTrue} +\refsdollar{compile}{saveableItems} +\refsdollar{compile}{lisplibItemsAlreadyThere} +\refsdollar{compile}{splitUpItemsAlreadyThere} +\refsdollar{compile}{lisplib} +\refsdollar{compile}{compileOnlyCertainItems} +\refsdollar{compile}{functorForm} +\refsdollar{compile}{signatureOfForm} +\refsdollar{compile}{suffix} +\refsdollar{compile}{prefix} +\refsdollar{compile}{signatureOfForm} +\refsdollar{compile}{e} +\defsdollar{compile}{functionStats} +\defsdollar{compile}{savableItems} +\defsdollar{compile}{suffix} +\begin{chunk}{defun compile} +(defun |compile| (u) + (labels ( + (isLocalFunction (op) + (let (tmp1) + (declare (special |$e| |$formalArgList|)) + (and (null (|member| op |$formalArgList|)) + (progn + (setq tmp1 (|getmode| op |$e|)) + (and (consp tmp1) (eq (qfirst tmp1) '|Mapping|))))))) + (let (op lamExpr DC sig sel opexport opmodes opp parts s tt unew + optimizedBody stuffToCompile result functionStats) + (declare (special |$functionStats| |$macroIfTrue| |$doNotCompileJustPrint| + |$insideCapsuleFunctionIfTrue| |$saveableItems| |$e| + |$lisplibItemsAlreadyThere| |$splitUpItemsAlreadyThere| + |$compileOnlyCertainItems| $LISPLIB |$suffix| + |$signatureOfForm| |$functorForm| |$prefix| + |$savableItems|)) + (setq op (first u)) + (setq lamExpr (second u)) + (when |$suffix| + (setq |$suffix| (1+ |$suffix|)) + (setq opp + (progn + (setq opexport nil) + (setq opmodes + (loop for item in (|get| op '|modemap| |$e|) + do + (setq dc (caar item)) + (setq sig (cdar item)) + (setq sel (cadadr item)) + when (and (eq dc '$) + (setq opexport t) + (let ((result t)) + (loop for x in sig for y in |$signatureOfForm| + do (setq result (|modeEqual| x y))) + result)) + collect sel)) + (cond + ((isLocalFunction op) + (when opexport + (|userError| (list '|%b| op '|%d| " is local and exported"))) + (intern (strconc (|encodeItem| |$prefix|) ";" (|encodeItem| op)))) + (t + (|encodeFunctionName| op |$functorForm| |$signatureOfForm| + '|;| |$suffix|))))) + (setq u (list opp lamExpr))) + (when (and $lisplib |$compileOnlyCertainItems|) + (setq parts (|splitEncodedFunctionName| (elt u 0) '|;|)) + (cond + ((eq parts '|inner|) + (setq |$savableItems| (cons (elt u 0) |$savableItems|))) + (t + (setq unew nil) + (loop for item in |$splitUpItemsAlreadyThere| + do + (setq s (first item)) + (setq tt (second item)) + (when + (and (equal (elt parts 0) (elt s 0)) + (equal (elt parts 1) (elt s 1)) + (equal (elt parts 2) (elt s 2))) + (setq unew tt))) + (cond + ((null unew) + (|sayBrightly| (list " Error: Item did not previously exist")) + (|sayBrightly| (cons " Item not saved: " (|bright| (elt u 0)))) + (|sayBrightly| + (list " What's there is: " |$lisplibItemsAlreadyThere|)) + nil) + (t + (|sayBrightly| (list " Renaming " (elt u 0) " as " unew)) + (setq u (cons unew (cdr u))) + (setq |$savableItems| (cons unew |$saveableItems|))))))) + (setq optimizedBody (|optimizeFunctionDef| u)) + (setq stuffToCompile + (if |$insideCapsuleFunctionIfTrue| + (|putInLocalDomainReferences| optimizedBody) + optimizedBody)) + (cond + ((eq |$doNotCompileJustPrint| t) + (prettyprint stuffToCompile) + opp) + (|$macroIfTrue| (|constructMacro| stuffToCompile)) + (t + (setq result (|spadCompileOrSetq| stuffToCompile)) + (setq functionStats (list 0 (|elapsedTime|))) + (setq |$functionStats| (|addStats| |$functionStats| functionStats)) + (|printStats| functionStats) + result))))) \end{chunk} -\defun{compCat}{compCat} -\calls{compCat}{getl} -\begin{chunk}{defun compCat} -(defun |compCat| (form m e) - (declare (ignore m)) - (let (functorName fn tmp1 tmp2 funList op sig catForm) - (setq functorName (first form)) - (when (setq fn (getl functorName '|makeFunctionList|)) - (setq tmp1 (funcall fn form form e)) - (setq funList (first tmp1)) - (setq e (second tmp1)) - (setq catForm - (list '|Join| '(|SetCategory|) - (cons 'category - (cons '|domain| - (dolist (item funList (nreverse0 tmp2)) - (setq op (first item)) - (setq sig (second item)) - (unless (eq op '=) (push (list 'signature op sig) tmp2))))))) - (list form catForm e)))) +\defun{encodeFunctionName}{encodeFunctionName} +Code for encoding function names inside package or domain +\calls{encodeFunctionName}{msubst} +\calls{encodeFunctionName}{mkRepititionAssoc} +\calls{encodeFunctionName}{encodeItem} +\calls{encodeFunctionName}{stringimage} +\calls{encodeFunctionName}{internl} +\calls{encodeFunctionName}{getAbbreviation} +\calls{encodeFunctionName}{length} +\refsdollar{encodeFunctionName}{lisplib} +\refsdollar{encodeFunctionName}{lisplibSignatureAlist} +\defsdollar{encodeFunctionName}{lisplibSignatureAlist} +\begin{chunk}{defun encodeFunctionName} +(defun |encodeFunctionName| (fun package signature sep count) + (let (packageName arglist signaturep reducedSig n x encodedSig encodedName) + (declare (special |$lisplibSignatureAlist| $lisplib)) + (setq packageName (car package)) + (setq arglist (cdr package)) + (setq signaturep (msubst '$ package signature)) + (setq reducedSig + (|mkRepititionAssoc| (append (cdr signaturep) (list (car signaturep))))) + (setq encodedSig + (let ((result "")) + (loop for item in reducedSig + do + (setq n (car item)) + (setq x (cdr item)) + (setq result + (strconc result + (if (eql n 1) + (|encodeItem| x) + (strconc (stringimage n) (|encodeItem| x)))))) + result)) + (setq encodedName + (internl (|getAbbreviation| packageName (|#| arglist)) + '|;| (|encodeItem| fun) '|;| encodedSig sep (stringimage count))) + (when $lisplib + (setq |$lisplibSignatureAlist| + (cons (cons encodedName signaturep) |$lisplibSignatureAlist|))) + encodedName)) \end{chunk} -\defplist{category}{compCategory} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'category 'special) '|compCategory|)) +\defun{mkRepititionAssoc}{mkRepititionAssoc} +\calls{mkRepititionAssoc}{qcar} +\calls{mkRepititionAssoc}{qcdr} +\begin{chunk}{defun mkRepititionAssoc} +(defun |mkRepititionAssoc| (z) + (labels ( + (mkRepfun (z n) + (cond + ((null z) nil) + ((and (consp z) (eq (qrest z) nil) (list (cons n (qfirst z))))) + ((and (consp z) (consp (qrest z)) (equal (qsecond z) (qfirst z))) + (mkRepfun (cdr z) (1+ n))) + (t (cons (cons n (car z)) (mkRepfun (cdr z) 1)))))) + (mkRepfun z 1))) \end{chunk} -\defun{compCategory}{compCategory} -\calls{compCategory}{resolve} -\calls{compCategory}{qcar} -\calls{compCategory}{qcdr} -\calls{compCategory}{compCategoryItem} -\calls{compCategory}{mkExplicitCategoryFunction} -\calls{compCategory}{systemErrorHere} -\begin{chunk}{defun compCategory} -(defun |compCategory| (x m e) - (let ($top_level |$sigList| |$atList| domainOrPackage z rep) - (declare (special $top_level |$sigList| |$atList|)) - (setq $top_level t) +\defun{splitEncodedFunctionName}{splitEncodedFunctionName} +\calls{splitEncodedFunctionName}{stringimage} +\calls{splitEncodedFunctionName}{strpos} +\begin{chunk}{defun splitEncodedFunctionName} +(defun |splitEncodedFunctionName| (encodedName sep) + (let (sep0 p1 p2 p3 s1 s2 s3 s4) + ; sep0 is the separator used in "encodeFunctionName". + (setq sep0 ";") + (unless (stringp encodedName) (setq encodedName (stringimage encodedName))) (cond - ((and - (equal (setq m (|resolve| m (list '|Category|))) (list '|Category|)) - (pairp x) - (eq (qcar x) 'category) - (pairp (qcdr x))) - (setq domainOrPackage (second x)) - (setq z (qcdr (qcdr x))) - (setq |$sigList| nil) - (setq |$atList| nil) - (setq |$sigList| nil) - (setq |$atList| nil) - (dolist (x z) (|compCategoryItem| x nil)) - (setq rep - (|mkExplicitCategoryFunction| domainOrPackage |$sigList| |$atList|)) - (list rep m e)) + ((null (setq p1 (strpos sep0 encodedName 0 "*"))) nil) + ; This is picked up in compile for inner functions in partial compilation + ((null (setq p2 (strpos sep0 encodedName (1+ p1) "*"))) '|inner|) + ((null (setq p3 (strpos sep encodedName (1+ p2) "*"))) nil) (t - (|systemErrorHere| "compCategory"))))) + (setq s1 (substring encodedName 0 p1)) + (setq s2 (substring encodedName (1+ p1) (- p2 p1 1))) + (setq s3 (substring encodedName (1+ p2) (- p3 p2 1))) + (setq s4 (substring encodedName (1+ p3) nil)) + (list s1 s2 s3 s4))))) \end{chunk} -\defplist{::}{compCoerce} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|::| 'special) '|compCoerce|)) +\defun{encodeItem}{encodeItem} +\calls{encodeItem}{getCaps} +\calls{encodeItem}{identp} +\calls{encodeItem}{qcar} +\calls{encodeItem}{pname} +\calls{encodeItem}{stringimage} +\begin{chunk}{defun encodeItem} +(defun |encodeItem| (x) + (cond + ((consp x) (|getCaps| (qfirst x))) + ((identp x) (pname x)) + (t (stringimage x)))) \end{chunk} -\defun{compCoerce}{compCoerce} -\calls{compCoerce}{addDomain} -\calls{compCoerce}{getmode} -\calls{compCoerce}{compCoerce1} -\calls{compCoerce}{coerce} -\begin{chunk}{defun compCoerce} -(defun |compCoerce| (arg m e) - (let (x mp tmp1 tmp4 z td) - (setq x (second arg)) - (setq mp (third arg)) - (setq e (|addDomain| mp e)) - (setq tmp1 (|getmode| mp e)) - (cond - ((setq td (|compCoerce1| x mp e)) - (|coerce| td m)) - ((and (pairp tmp1) (eq (qcar tmp1) '|Mapping|) - (pairp (qcdr tmp1)) (eq (qcdr (qcdr tmp1)) nil) - (pairp (qcar (qcdr tmp1))) - (eq (qcar (qcar (qcdr tmp1))) '|UnionCategory|)) - (setq z (qcdr (qcar (qcdr tmp1)))) - (when - (setq td - (dolist (m1 z tmp4) (setq tmp4 (or tmp4 (|compCoerce1| x m1 e))))) - (|coerce| (list (car td) mp (third td)) m)))))) +\defun{getCaps}{getCaps} +\calls{getCaps}{stringimage} +\calls{getCaps}{maxindex} +\calls{getCaps}{l-case} +\calls{getCaps}{strconc} +\begin{chunk}{defun getCaps} +(defun |getCaps| (x) + (let (s c clist tmp1) + (setq s (stringimage x)) + (setq clist + (loop for i from 0 to (maxindex s) + when (upper-case-p (setq c (elt s i))) + collect c)) + (cond + ((null clist) "_") + (t + (setq tmp1 + (cons (first clist) (loop for u in (rest clist) collect (l-case u)))) + (let ((result "")) + (loop for u in tmp1 + do (setq result (strconc result u))) + result))))) \end{chunk} -\defun{compCoerce1}{compCoerce1} -\calls{compCoerce1}{comp} -\calls{compCoerce1}{resolve} -\calls{compCoerce1}{coerce} -\calls{compCoerce1}{coerceByModemap} -\calls{compCoerce1}{msubst} -\calls{compCoerce1}{mkq} -\begin{chunk}{defun compCoerce1} -(defun |compCoerce1| (x mp e) - (let (m1 td tp gg pred code) - (declare (special |$String| |$EmptyMode|)) - (when (setq td (or (|comp| x mp e) (|comp| x |$EmptyMode| e))) - (setq m1 (if (stringp (second td)) |$String| (second td))) - (setq mp (|resolve| m1 mp)) - (setq td (list (car td) m1 (third td))) - (cond - ((setq tp (|coerce| td mp)) tp) - ((setq tp (|coerceByModemap| td mp)) tp) - ((setq pred (|isSubset| mp (second td) e)) - (setq gg (gensym)) - (setq pred (msubst gg '* pred)) - (setq code - (list 'prog1 - (list 'let gg (first td)) - (cons '|check-subtype| (cons pred (list (mkq mp) gg))))) - (list code mp (third td))))))) +\defun{constructMacro}{constructMacro} +constructMacro (form is [nam,[lam,vl,body]]) +\calls{constructMacro}{stackSemanticError} +\calls{constructMacro}{identp} +\begin{chunk}{defun constructMacro} +(defun |constructMacro| (form) + (let (vl body) + (setq vl (cadadr form)) + (setq body (car (cddadr form))) + (cond + ((null (let ((result t)) + (loop for x in vl + do (setq result (and result (atom x)))) + result)) + (|stackSemanticError| (list '|illegal parameters for macro: | vl) nil)) + (t + (list 'xlam (loop for x in vl when (identp x) collect x) body))))) \end{chunk} -\defplist{:}{compColon} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|:| 'special) '|compColon|)) +\defun{spadCompileOrSetq}{spadCompileOrSetq} +\calls{spadCompileOrSetq}{qcar} +\calls{spadCompileOrSetq}{qcdr} +\calls{spadCompileOrSetq}{contained} +\calls{spadCompileOrSetq}{sayBrightly} +\calls{spadCompileOrSetq}{bright} +\calls{spadCompileOrSetq}{LAM,EVALANDFILEACTQ} +\calls{spadCompileOrSetq}{mkq} +\calls{spadCompileOrSetq}{comp} +\calls{spadCompileOrSetq}{compileConstructor} +\refsdollar{spadCompileOrSetq}{insideCapsuleFunctionIfTrue} +\begin{chunk}{defun spadCompileOrSetq} +(defun |spadCompileOrSetq| (form) + (let (nam lam vl body namp tmp1 e vlp macform) + (declare (special |$insideCapsuleFunctionIfTrue|)) + (setq nam (car form)) + (setq lam (caadr form)) + (setq vl (cadadr form)) + (setq body (car (cddadr form))) + (cond + ((and (consp vl) (progn (setq tmp1 (reverse vl)) t) + (consp tmp1) + (progn + (setq e (qfirst tmp1)) + (setq vlp (qrest tmp1)) + t) + (progn (setq vlp (nreverse vlp)) t) + (consp body) + (progn (setq namp (qfirst body)) t) + (equal (qrest body) vlp)) + (|LAM,EVALANDFILEACTQ| + (list 'put (mkq nam) (mkq '|SPADreplace|) (mkq namp))) + (|sayBrightly| + (cons " " (append (|bright| nam) + (cons "is replaced by" (|bright| namp)))))) + ((and (or (atom body) + (let ((result t)) + (loop for x in body + do (setq result (and result (atom x)))) + result)) + (consp vl) + (progn (setq tmp1 (reverse vl)) t) + (consp tmp1) + (progn + (setq e (qfirst tmp1)) + (setq vlp (qrest tmp1)) + t) + (progn (setq vlp (nreverse vlp)) t) + (null (contained e body))) + (setq macform (list 'xlam vlp body)) + (|LAM,EVALANDFILEACTQ| + (list 'put (mkq nam) (mkq '|SPADreplace|) (mkq macform))) + (|sayBrightly| (cons " " (append (|bright| nam) + (cons "is replaced by" (|bright| body)))))) + (t nil)) + (if |$insideCapsuleFunctionIfTrue| + (car (comp (list form))) + (|compileConstructor| form)))) \end{chunk} -\defun{compColon}{compColon} -\begin{verbatim} -;compColon([":",f,t],m,e) == -; $insideExpressionIfTrue=true => compColonInside(f,m,e,t) -; --if inside an expression, ":" means to convert to m "on faith" -; $lhsOfColon: local:= f -; t:= -; atom t and (t':= ASSOC(t,getDomainsInScope e)) => t' -; isDomainForm(t,e) and not $insideCategoryIfTrue => -; (if not MEMBER(t,getDomainsInScope e) then e:= addDomain(t,e); t) -; isDomainForm(t,e) or isCategoryForm(t,e) => t -; t is ["Mapping",m',:r] => t -; unknownTypeError t -; t -; f is ["LISTOF",:l] => -; (for x in l repeat T:= [.,.,e]:= compColon([":",x,t],m,e); T) -; e:= -; f is [op,:argl] and not (t is ["Mapping",:.]) => -; --for MPOLY--replace parameters by formal arguments: RDJ 3/83 -; newTarget:= EQSUBSTLIST(take(#argl,$FormalMapVariableList), -; [(x is [":",a,m] => a; x) for x in argl],t) -; signature:= -; ["Mapping",newTarget,: -; [(x is [":",a,m] => m; -; getmode(x,e) or systemErrorHere '"compColonOld") for x in argl]] -; put(op,"mode",signature,e) -; put(f,"mode",t,e) -; if not $bootStrapMode and $insideFunctorIfTrue and -; makeCategoryForm(t,e) is [catform,e] then -; e:= put(f,"value",[genSomeVariable(),t,$noEnv],e) -; ["/throwAway",getmode(f,e),e] -\end{verbatim} -\calls{compColon}{compColonInside} -\calls{compColon}{assoc} -\calls{compColon}{getDomainsInScope} -\calls{compColon}{isDomainForm} -\seebook{compColon}{member}{5} -\calls{compColon}{addDomain} -\calls{compColon}{isDomainForm} -\calls{compColon}{isCategoryForm} -\calls{compColon}{unknownTypeError} -\calls{compColon}{compColon} -\calls{compColon}{eqsubstlist} -\calls{compColon}{take} -\calls{compColon}{length} -\calls{compColon}{nreverse0} -\calls{compColon}{getmode} -\calls{compColon}{systemErrorHere} -\calls{compColon}{put} -\calls{compColon}{makeCategoryForm} -\calls{compColon}{genSomeVariable} -\usesdollar{compColon}{lhsOfColon} -\usesdollar{compColon}{noEnv} -\usesdollar{compColon}{insideFunctorIfTrue} -\usesdollar{compColon}{bootStrapMode} -\usesdollar{compColon}{FormalMapVariableList} -\usesdollar{compColon}{insideCategoryIfTrue} -\usesdollar{compColon}{insideExpressionIfTrue} -\begin{chunk}{defun compColon} -(defun |compColon| (arg0 m e) - (let (|$lhsOfColon| argf argt tprime mprime r td op argl newTarget a - signature tmp2 catform tmp3 g2 g5) - (declare (special |$lhsOfColon| |$noEnv| |$insideFunctorIfTrue| - |$bootStrapMode| |$FormalMapVariableList| - |$insideCategoryIfTrue| |$insideExpressionIfTrue|)) - (setq argf (second arg0)) - (setq argt (third arg0)) - (if |$insideExpressionIfTrue| - (|compColonInside| argf m e argt) - (progn - (setq |$lhsOfColon| argf) - (setq argt - (cond - ((and (atom argt) - (setq tprime (|assoc| argt (|getDomainsInScope| e)))) - tprime) - ((and (|isDomainForm| argt e) (null |$insideCategoryIfTrue|)) - (unless (|member| argt (|getDomainsInScope| e)) - (setq e (|addDomain| argt e))) - argt) - ((or (|isDomainForm| argt e) (|isCategoryForm| argt e)) - argt) - ((and (pairp argt) (eq (qcar argt) '|Mapping|) - (progn - (setq tmp2 (qcdr argt)) - (and (pairp tmp2) - (progn - (setq mprime (qcar tmp2)) - (setq r (qcdr tmp2)) - t)))) - argt) - (t - (|unknownTypeError| argt) - argt))) - (cond - ((eq (car argf) 'listof) - (dolist (x (cdr argf) td) - (setq td (|compColon| (list '|:| x argt) m e)) - (setq e (third td)))) - (t - (setq e - (cond - ((and (pairp argf) - (progn - (setq op (qcar argf)) - (setq argl (qcdr argf)) - t) - (null (and (pairp argt) (eq (qcar argt) '|Mapping|)))) - (setq newTarget - (eqsubstlist (take (|#| argl) |$FormalMapVariableList|) - (dolist (x argl (nreverse0 g2)) - (setq g2 - (cons - (cond - ((and (pairp x) (eq (qcar x) '|:|) - (progn - (setq tmp2 (qcdr x)) - (and (pairp tmp2) - (progn - (setq a (qcar tmp2)) - (setq tmp3 (qcdr tmp2)) - (and (pairp tmp3) - (eq (qcdr tmp3) nil) - (progn - (setq m (qcar tmp3)) - t)))))) - a) - (t x)) - g2))) - argt)) - (setq signature - (cons '|Mapping| - (cons newTarget - (dolist (x argl (nreverse0 g5)) - (setq g5 - (cons - (cond - ((and (pairp x) (eq (qcar x) '|:|) - (progn - (setq tmp2 (qcdr x)) - (and (pairp tmp2) - (progn - (setq a (qcar tmp2)) - (setq tmp3 (qcdr tmp2)) - (and (pairp tmp3) - (eq (qcdr tmp3) nil) - (progn - (setq m (qcar tmp3)) - t)))))) - m) - (t - (or (|getmode| x e) - (|systemErrorHere| "compColonOld")))) - g5)))))) - (|put| op '|mode| signature e)) - (t (|put| argf '|mode| argt e)))) - (cond - ((and (null |$bootStrapMode|) |$insideFunctorIfTrue| - (progn - (setq tmp2 (|makeCategoryForm| argt e)) - (and (pairp tmp2) - (progn - (setq catform (qcar tmp2)) - (setq tmp3 (qcdr tmp2)) - (and (pairp tmp3) - (eq (qcdr tmp3) nil) - (progn - (setq e (qcar tmp3)) - t)))))) - (setq e - (|put| argf '|value| (list (|genSomeVariable|) argt |$noEnv|) - e)))) - (list '|/throwAway| (|getmode| argf e) e ))))))) +\defun{compileConstructor}{compileConstructor} +\calls{compileConstructor}{compileConstructor1} +\calls{compileConstructor}{clearClams} +\begin{chunk}{defun compileConstructor} +(defun |compileConstructor| (form) + (let (u) + (setq u (|compileConstructor1| form)) + (|clearClams|) + u)) \end{chunk} -\defplist{cons}{compCons} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'cons 'special) '|compCons|)) +\defun{compileConstructor1}{compileConstructor1} +\calls{compileConstructor1}{getdatabase} +\calls{compileConstructor1}{compAndDefine} +\calls{compileConstructor1}{comp} +\calls{compileConstructor1}{clearConstructorCache} +\refsdollar{compileConstructor1}{mutableDomain} +\refsdollar{compileConstructor1}{ConstructorCache} +\refsdollar{compileConstructor1}{clamList} +\defsdollar{compileConstructor1}{clamList} +\begin{chunk}{defun compileConstructor1} +(defun |compileConstructor1| (form) + (let (|$clamList| fn key vl bodyl lambdaOrSlam compForm u) + (declare (special |$clamList| |$ConstructorCache| |$mutableDomain|)) + (setq fn (car form)) + (setq key (caadr form)) + (setq vl (cadadr form)) + (setq bodyl (cddadr form)) + (setq |$clamList| nil) + (setq lambdaOrSlam + (cond + ((eq (getdatabase fn 'constructorkind) '|category|) 'spadslam) + (|$mutableDomain| 'lambda) + (t + (setq |$clamList| + (cons (list fn '|$ConstructorCache| '|domainEqualList| '|count|) + |$clamList|)) + 'lambda))) + (setq compForm (list (list fn (cons lambdaorslam (cons vl bodyl))))) + (if (eq (getdatabase fn 'constructorkind) '|category|) + (setq u (|compAndDefine| compForm)) + (setq u (comp compForm))) + (|clearConstructorCache| fn) + (car u))) \end{chunk} -\defun{compCons}{compCons} -\calls{compCons}{compCons1} -\calls{compCons}{compForm} -\begin{chunk}{defun compCons} -(defun |compCons| (form m e) - (or (|compCons1| form m e) (|compForm| form m e))) +\defun{putInLocalDomainReferences}{putInLocalDomainReferences} +\calls{putInLocalDomainReferences}{NRTputInTail} +\refsdollar{putInLocalDomainReferences}{QuickCode} +\defsdollar{putInLocalDomainReferences}{elt} +\begin{chunk}{defun putInLocalDomainReferences} +(defun |putInLocalDomainReferences| (def) + (let (|$elt| opName lam varl body) + (declare (special |$elt| |$QuickCode|)) + (setq opName (car def)) + (setq lam (caadr def)) + (setq varl (cadadr def)) + (setq body (car (cddadr def))) + (setq |$elt| (if |$QuickCode| 'qrefelt 'elt)) + (|NRTputInTail| (cddadr def)) + def)) \end{chunk} -\defun{compCons1}{compCons1} -\calls{compCons1}{comp} -\calls{compCons1}{convert} -\calls{compCons1}{pairp} -\calls{compCons1}{qcar} -\calls{compCons1}{qcdr} -\usesdollar{compCons1}{EmptyMode} -\begin{chunk}{defun compCons1} -(defun |compCons1| (arg m e) - (let (mx y my yt mp mr ytp tmp1 x td) - (declare (special |$EmptyMode|)) - (setq x (second arg)) - (setq y (third arg)) - (when (setq tmp1 (|comp| x |$EmptyMode| e)) - (setq x (first tmp1)) - (setq mx (second tmp1)) - (setq e (third tmp1)) - (cond - ((null y) - (|convert| (list (list 'list x) (list '|List| mx) e ) m)) - (t - (when (setq yt (|comp| y |$EmptyMode| e)) - (setq y (first yt)) - (setq my (second yt)) - (setq e (third yt)) - (setq td - (cond - ((and (pairp my) (eq (qcar my) '|List|) (pairp (qcdr my))) - (setq mp (second my)) - (when (setq mr (list '|List| (|resolve| mp mx))) - (when (setq ytp (|convert| yt mr)) - (when (setq tmp1 (|convert| (list x mx (third ytp)) (second mr))) - (setq x (first tmp1)) - (setq e (third tmp1)) - (cond - ((and (pairp (car ytp)) (eq (qcar (car ytp)) 'list)) - (list (cons 'list (cons x (cdr (car ytp)))) mr e)) - (t - (list (list 'cons x (car ytp)) mr e))))))) +\defun{NRTputInTail}{NRTputInTail} +\calls{NRTputInTail}{lassoc} +\calls{NRTputInTail}{NRTassocIndex} +\calls{NRTputInTail}{rplaca} +\calls{NRTputInTail}{NRTputInHead} +\refsdollar{NRTputInTail}{elt} +\refsdollar{NRTputInTail}{devaluateList} +\begin{chunk}{defun NRTputInTail} +(defun |NRTputInTail| (x) + (let (u k) + (declare (special |$elt| |$devaluateList|)) + (maplist #'(lambda (y) + (cond + ((atom (setq u (car y))) + (cond + ((or (eq u '$) (lassoc u |$devaluateList|)) + nil) + ((setq k (|NRTassocIndex| u)) + (cond + ; u atomic means that the slot will always contain a vector + ((atom u) (rplaca y (list |$elt| '$ k))) + ; this reference must check that slot is a vector + (t (rplaca y (list 'spadcheckelt '$ k))))) + (t nil))) + (t (|NRTputInHead| u)))) + x) + x)) + +\end{chunk} + +\defun{NRTputInHead}{NRTputInHead} +\calls{NRTputInHead}{NRTputInTail} +\calls{NRTputInHead}{NRTassocIndex} +\calls{NRTputInHead}{NRTputInHead} +\calls{NRTputInHead}{lastnode} +\calls{NRTputInHead}{keyedSystemError} +\refsdollar{NRTputInHead}{elt} +\begin{chunk}{defun NRTputInHead} +(defun |NRTputInHead| (bod) + (let (fn clauses dom tmp2 ind k) + (declare (special |$elt|)) + (cond + ((atom bod) bod) + ((and (consp bod) (eq (qcar bod) 'spadcall) (consp (qcdr bod)) + (progn (setq tmp2 (reverse (qcdr bod))) t) (consp tmp2)) + (setq fn (qcar tmp2)) + (|NRTputInTail| (cdr bod)) + (cond + ((and (consp fn) (consp (qcdr fn)) (consp (qcdr (qcdr fn))) + (eq (qcdddr fn) nil) (null (eq (qsecond fn) '$)) + (member (qcar fn) '(elt qrefelt const))) + (when (setq k (|NRTassocIndex| (qsecond fn))) + (rplaca (lastnode bod) (list |$elt| '$ k)))) + (t (|NRTputInHead| fn) bod))) + ((and (consp bod) (eq (qcar bod) 'cond)) + (setq clauses (qcdr bod)) + (loop for cc in clauses do (|NRTputInTail| cc)) + bod) + ((and (consp bod) (eq (qcar bod) 'quote)) bod) + ((and (consp bod) (eq (qcar bod) 'closedfn)) bod) + ((and (consp bod) (eq (qcar bod) 'spadconst) (consp (qcdr bod)) + (consp (qcddr bod)) (eq (qcdddr bod) nil)) + (setq dom (qsecond bod)) + (setq ind (qthird bod)) + (rplaca bod |$elt|) + (cond + ((eq dom '$) nil) + ((setq k (|NRTassocIndex| dom)) + (rplaca (lastnode bod) (list |$elt| '$ k)) + bod) (t - (list (list 'cons x y) (list '|Pair| mx my) e )))) - (|convert| td m))))))) + (|keyedSystemError| 'S2GE0016 + (list "NRTputInHead" "unexpected SPADCONST form"))))) + (t + (|NRTputInHead| (car bod)) + (|NRTputInTail| (cdr bod)) bod)))))) \end{chunk} -\defplist{ListCategory}{compConstructorCategory} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|ListCategory| 'special) '|compConstructorCategory|)) +\defun{getArgumentModeOrMoan}{getArgumentModeOrMoan} +\calls{getArgumentModeOrMoan}{getArgumentMode} +\calls{getArgumentModeOrMoan}{stackSemanticError} +\begin{chunk}{defun getArgumentModeOrMoan} +(defun |getArgumentModeOrMoan| (x form env) + (or (|getArgumentMode| x env) + (|stackSemanticError| + (list '|argument | x '| of | form '| is not declared|) nil))) \end{chunk} -\defplist{RecordCategory}{compConstructorCategory} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|RecordCategory| 'special) '|compConstructorCategory|)) +\defun{augLisplibModemapsFromCategory}{augLisplibModemapsFromCategory} +\calls{augLisplibModemapsFromCategory}{sublis} +\calls{augLisplibModemapsFromCategory}{mkAlistOfExplicitCategoryOps} +\calls{augLisplibModemapsFromCategory}{isCategoryForm} +\calls{augLisplibModemapsFromCategory}{lassoc} +\calls{augLisplibModemapsFromCategory}{member} +\calls{augLisplibModemapsFromCategory}{mkpf} +\calls{augLisplibModemapsFromCategory}{interactiveModemapForm} +\refsdollar{augLisplibModemapsFromCategory}{lisplibModemapAlist} +\refsdollar{augLisplibModemapsFromCategory}{EmptyEnvironment} +\refsdollar{augLisplibModemapsFromCategory}{domainShell} +\refsdollar{augLisplibModemapsFromCategory}{PatternVariableList} +\defsdollar{augLisplibModemapsFromCategory}{lisplibModemapAlist} +\begin{chunk}{defun augLisplibModemapsFromCategory} +(defun |augLisplibModemapsFromCategory| (form body signature) + (let (argl sl opAlist nonCategorySigAlist domainList catPredList op sig + pred sel predp modemap) + (declare (special |$lisplibModemapAlist| |$EmptyEnvironment| + |$domainShell| |$PatternVariableList|)) + (setq op (car form)) + (setq argl (cdr form)) + (setq sl + (cons (cons '$ '*1) + (loop for a in argl for p in (rest |$PatternVariableList|) + collect (cons a p)))) + (setq form (sublis sl form)) + (setq body (sublis sl body)) + (setq signature (sublis sl signature)) + (when (setq opAlist (sublis sl (elt |$domainShell| 1))) + (setq nonCategorySigAlist + (|mkAlistOfExplicitCategoryOps| (msubst '*1 '$ body))) + (setq domainList + (loop for a in (rest form) for m in (rest signature) + when (|isCategoryForm| m |$EmptyEnvironment|) + collect (list a m))) + (setq catPredList + (loop for u in (cons (list '*1 form) domainList) + collect (cons '|ofCategory| u))) + (loop for entry in opAlist + when (|member| (cadar entry) (lassoc (caar entry) nonCategorySigAlist)) + do + (setq op (caar entry)) + (setq sig (cadar entry)) + (setq pred (cadr entry)) + (setq sel (caddr entry)) + (setq predp (mkpf (cons pred catPredList) 'and)) + (setq modemap (list (cons '*1 sig) (list predp sel))) + (setq |$lisplibModemapAlist| + (cons (cons op (|interactiveModemapForm| modemap)) + |$lisplibModemapAlist|)))))) \end{chunk} -\defplist{UnionCategory}{compConstructorCategory} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|UnionCategory| 'special) '|compConstructorCategory|)) +\defun{mkAlistOfExplicitCategoryOps}{mkAlistOfExplicitCategoryOps} +\calls{mkAlistOfExplicitCategoryOps}{qcar} +\calls{mkAlistOfExplicitCategoryOps}{qcdr} +\calls{mkAlistOfExplicitCategoryOps}{keyedSystemError} +\calls{mkAlistOfExplicitCategoryOps}{union} +\calls{mkAlistOfExplicitCategoryOps}{mkAlistOfExplicitCategoryOps} +\calls{mkAlistOfExplicitCategoryOps}{flattenSignatureList} +\calls{mkAlistOfExplicitCategoryOps}{nreverse0} +\calls{mkAlistOfExplicitCategoryOps}{remdup} +\calls{mkAlistOfExplicitCategoryOps}{assocleft} +\calls{mkAlistOfExplicitCategoryOps}{isCategoryForm} +\refsdollar{mkAlistOfExplicitCategoryOps}{e} +\begin{chunk}{defun mkAlistOfExplicitCategoryOps} +(defun |mkAlistOfExplicitCategoryOps| (target) + (labels ( + (atomizeOp (op) + (cond + ((atom op) op) + ((and (consp op) (eq (qrest op) nil)) (qfirst op)) + (t (|keyedSystemError| 'S2GE0016 + (list "mkAlistOfExplicitCategoryOps" "bad signature"))))) + (fn (op u) + (if (and (consp u) (consp (qfirst u))) + (if (equal (qcaar u) op) + (cons (qcdar u) (fn op (qrest u))) + (fn op (qrest u)))))) + (let (z tmp1 op sig u opList) + (declare (special |$e|)) + (when (and (consp target) (eq (qfirst target) '|add|) (consp (qrest target))) + (setq target (second target))) + (cond + ((and (consp target) (eq (qfirst target) '|Join|)) + (setq z (qrest target)) + (PROG (tmp1) + (RETURN + (DO ((G167566 z (CDR G167566)) (cat nil)) + ((OR (ATOM G167566) (PROGN (setq cat (CAR G167566)) nil)) + tmp1) + (setq tmp1 (|union| tmp1 (|mkAlistOfExplicitCategoryOps| cat))))))) + ((and (consp target) (eq (qfirst target) 'category) + (progn + (setq tmp1 (qrest target)) + (and (consp tmp1) + (progn (setq z (qrest tmp1)) t)))) + (setq z (|flattenSignatureList| (cons 'progn z))) + (setq u + (prog (G167577) + (return + (do ((G167583 z (cdr G167583)) (x nil)) + ((or (atom G167583)) (nreverse0 G167577)) + (setq x (car G167583)) + (cond + ((and (consp x) (eq (qfirst x) 'signature) (consp (qrest x)) + (consp (qcddr x))) + (setq op (qsecond x)) + (setq sig (qthird x)) + (setq G167577 (cons (cons (atomizeOp op) sig) G167577)))))))) + (setq opList (remdup (assocleft u))) + (prog (G167593) + (return + (do ((G167598 opList (cdr G167598)) (x nil)) + ((or (atom G167598)) (nreverse0 G167593)) + (setq x (car G167598)) + (setq G167593 (cons (cons x (fn x u)) G167593)))))) + ((|isCategoryForm| target |$e|) nil) + (t + (|keyedSystemError| 'S2GE0016 + (list "mkAlistOfExplicitCategoryOps" "bad signature"))))))) \end{chunk} -\defplist{VectorCategory}{compConstructorCategory} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|VectorCategory| 'special) '|compConstructorCategory|)) +\defun{flattenSignatureList}{flattenSignatureList} +\calls{flattenSignatureList}{qcar} +\calls{flattenSignatureList}{qcdr} +\calls{flattenSignatureList}{flattenSignatureList} +\begin{chunk}{defun flattenSignatureList} +(defun |flattenSignatureList| (x) + (let (zz) + (cond + ((atom x) nil) + ((and (consp x) (eq (qfirst x) 'signature)) (list x)) + ((and (consp x) (eq (qfirst x) 'if) (consp (qrest x)) + (consp (qcddr x)) (consp (qcdddr x)) + (eq (qcddddr x) nil)) + (append (|flattenSignatureList| (third x)) + (|flattenSignatureList| (fourth x)))) + ((and (consp x) (eq (qfirst x) 'progn)) + (loop for x in (qrest x) + do + (if (and (consp x) (eq (qfirst x) 'signature)) + (setq zz (cons x zz)) + (setq zz (append (|flattenSignatureList| x) zz)))) + zz) + (t nil)))) \end{chunk} -\defun{compConstructorCategory}{compConstructorCategory} -\calls{compConstructorCategory}{resolve} -\usesdollar{compConstructorCategory}{Category} -\begin{chunk}{defun compConstructorCategory} -(defun |compConstructorCategory| (x m e) - (declare (special |$Category|)) - (list x (|resolve| |$Category| m) e)) +\defun{interactiveModemapForm}{interactiveModemapForm} +Create modemap form for use by the interpreter. This function +replaces all specific domains mentioned in the modemap with pattern +variables, and predicates +\calls{interactiveModemapForm}{qcar} +\calls{interactiveModemapForm}{qcdr} +\calls{interactiveModemapForm}{nequal} +\calls{interactiveModemapForm}{replaceVars} +\calls{interactiveModemapForm}{modemapPattern} +\calls{interactiveModemapForm}{substVars} +\calls{interactiveModemapForm}{fixUpPredicate} +\refsdollar{interactiveModemapForm}{PatternVariableList} +\refsdollar{interactiveModemapForm}{FormalMapVariableList} +\begin{chunk}{defun interactiveModemapForm} +(defun |interactiveModemapForm| (mm) + (labels ( + (fn (x) + (if (and (consp x) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil) + (nequal (qfirst x) '|isFreeFunction|) + (atom (qthird x))) + (list (first x) (second x) (list (third x))) + x))) + (let (pattern dc sig mmpat patternAlist partial patvars + domainPredicateList tmp1 pred dependList cond) + (declare (special |$PatternVariableList| |$FormalMapVariableList|)) + (setq mm + (|replaceVars| (copy mm) |$PatternVariableList| |$FormalMapVariableList|)) + (setq pattern (car mm)) + (setq dc (caar mm)) + (setq sig (cdar mm)) + (setq pred (cadr mm)) + (setq pred + (prog () + (return + (do ((x pred (cdr x)) (result nil)) + ((atom x) (nreverse0 result)) + (setq result (cons (fn (car x)) result)))))) + (setq tmp1 (|modemapPattern| pattern sig)) + (setq mmpat (car tmp1)) + (setq patternAlist (cadr tmp1)) + (setq partial (caddr tmp1)) + (setq patvars (cadddr tmp1)) + (setq tmp1 (|substVars| pred patternAlist patvars)) + (setq pred (car tmp1)) + (setq domainPredicateList (cadr tmp1)) + (setq tmp1 (|fixUpPredicate| pred domainPredicateList partial (cdr mmpat))) + (setq pred (car tmp1)) + (setq dependList (cdr tmp1)) + (setq cond (car pred)) + (list mmpat cond)))) \end{chunk} -\defplist{construct}{compConstruct} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|construct| 'special) '|compConstruct|)) +\defun{replaceVars}{replaceVars} +Replace every identifier in oldvars with the corresponding +identifier in newvars in the expression x +\calls{replaceVars}{msubst} +\begin{chunk}{defun replaceVars} +(defun |replaceVars| (x oldvars newvars) + (loop for old in oldvars for new in newvars + do (setq x (msubst new old x))) + x) \end{chunk} -\defun{compConstruct}{compConstruct} -\calls{compConstruct}{modeIsAggregateOf} -\calls{compConstruct}{compList} -\calls{compConstruct}{convert} -\calls{compConstruct}{compForm} -\calls{compConstruct}{compVector} -\calls{compConstruct}{getDomainsInScope} -\begin{chunk}{defun compConstruct} -(defun |compConstruct| (form m e) - (let (z y td tp) - (setq z (cdr form)) +\defun{fixUpPredicate}{fixUpPredicate} +\calls{fixUpPredicate}{qcar} +\calls{fixUpPredicate}{qcdr} +\calls{fixUpPredicate}{length} +\calls{fixUpPredicate}{orderPredicateItems} +\calls{fixUpPredicate}{moveORsOutside} +\begin{chunk}{defun fixUpPredicate} +(defun |fixUpPredicate| (predClause domainPreds partial sig) + (let (predicate fn skip predicates tmp1 dependList pred) + (setq predicate (car predClause)) + (setq fn (cadr predClause)) + (setq skip (cddr predClause)) (cond - ((setq y (|modeIsAggregateOf| '|List| m e)) - (if (setq td (|compList| z (list '|List| (cadr y)) e)) - (|convert| td m) - (|compForm| form m e))) - ((setq y (|modeIsAggregateOf| '|Vector| m e)) - (if (setq td (|compVector| z (list '|Vector| (cadr y)) e)) - (|convert| td m) - (|compForm| form m e))) - ((setq td (|compForm| form m e)) td) - (t - (dolist (d (|getDomainsInScope| e)) - (cond - ((and (setq y (|modeIsAggregateOf| '|List| D e)) - (setq td (|compList| z (list '|List| (cadr y)) e)) - (setq tp (|convert| td m))) - (return tp)) - ((and (setq y (|modeIsAggregateOf| '|Vector| D e)) - (setq td (|compVector| z (list '|Vector| (cadr y)) e)) - (setq tp (|convert| td m))) - (return tp)))))))) + ((eq (car predicate) 'and) + (setq predicates (append domainPreds (cdr predicate)))) + ((nequal predicate (mkq t)) + (setq predicates (cons predicate domainPreds))) + (t + (setq predicates (or domainPreds (list predicate))))) + (cond + ((> (|#| predicates) 1) + (setq pred (cons 'and predicates)) + (setq tmp1 (|orderPredicateItems| pred sig skip)) + (setq pred (car tmp1)) + (setq dependlist (cdr tmp1)) + tmp1) + (t + (setq pred (|orderPredicateItems| (car predicates) sig skip)) + (setq dependList + (when (and (consp pred) (eq (qfirst pred) '|isDomain|) + (consp (qrest pred)) (consp (qcddr pred)) + (eq (qcdddr pred) nil) + (consp (qthird pred)) + (eq (qcdaddr pred) nil)) + (list (second pred)))))) + (setq pred (|moveORsOutside| pred)) + (when partial (setq pred (cons '|partial| pred))) + (cons (cons pred (cons fn skip)) dependList))) \end{chunk} -\defplist{def}{compDefine} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'def 'special) '|compDefine|)) +\defun{orderPredicateItems}{orderPredicateItems} +\calls{orderPredicateItems}{qcar} +\calls{orderPredicateItems}{qcdr} +\calls{orderPredicateItems}{signatureTran} +\calls{orderPredicateItems}{orderPredTran} +\begin{chunk}{defun orderPredicateItems} +(defun |orderPredicateItems| (pred1 sig skip) + (let (pred) + (setq pred (|signatureTran| pred1)) + (if (and (consp pred) (eq (qfirst pred) 'and)) + (|orderPredTran| (qrest pred) sig skip) + pred))) \end{chunk} -\defun{compDefine}{compDefine} -\calls{compDefine}{compDefine1} -\usesdollar{compDefine}{tripleCache} -\usesdollar{compDefine}{tripleHits} -\usesdollar{compDefine}{macroIfTrue} -\usesdollar{compDefine}{packagesUsed} -\begin{chunk}{defun compDefine} -(defun |compDefine| (form m e) - (let (|$tripleCache| |$tripleHits| |$macroIfTrue| |$packagesUsed|) - (declare (special |$tripleCache| |$tripleHits| |$macroIfTrue| - |$packagesUsed|)) - (setq |$tripleCache| nil) - (setq |$tripleHits| 0) - (setq |$macroIfTrue| nil) - (setq |$packagesUsed| nil) - (|compDefine1| form m e))) - -\end{chunk} - -\defun{compDefine1}{compDefine1} -\calls{compDefine1}{macroExpand} -\calls{compDefine1}{isMacro} -\calls{compDefine1}{getSignatureFromMode} -\calls{compDefine1}{compDefine1} -\calls{compDefine1}{compInternalFunction} -\calls{compDefine1}{compDefineAddSignature} -\calls{compDefine1}{compDefWhereClause} -\calls{compDefine1}{compDefineCategory} -\calls{compDefine1}{isDomainForm} -\calls{compDefine1}{getTargetFromRhs} -\calls{compDefine1}{giveFormalParametersValues} -\calls{compDefine1}{addEmptyCapsuleIfNecessary} -\calls{compDefine1}{compDefineFunctor} -\calls{compDefine1}{stackAndThrow} -\calls{compDefine1}{strconc} -\calls{compDefine1}{getAbbreviation} -\calls{compDefine1}{length} -\calls{compDefine1}{compDefineCapsuleFunction} -\usesdollar{compDefine1}{insideExpressionIfTrue} -\usesdollar{compDefine1}{formalArgList} -\usesdollar{compDefine1}{form} -\usesdollar{compDefine1}{op} -\usesdollar{compDefine1}{prefix} -\usesdollar{compDefine1}{insideFunctorIfTrue} -\usesdollar{compDefine1}{Category} -\usesdollar{compDefine1}{insideCategoryIfTrue} -\usesdollar{compDefine1}{insideCapsuleFunctionIfTrue} -\usesdollar{compDefine1}{ConstructorNames} -\usesdollar{compDefine1}{NoValueMode} -\usesdollar{compDefine1}{EmptyMode} -\usesdollar{compDefine1}{insideWhereIfTrue} -\usesdollar{compDefine1}{insideExpressionIfTrue} -\begin{chunk}{defun compDefine1} -(defun |compDefine1| (form m e) - (let (|$insideExpressionIfTrue| lhs specialCases sig signature rhs newPrefix - (tmp1 t)) - (declare (special |$insideExpressionIfTrue| |$formalArgList| |$form| - |$op| |$prefix| |$insideFunctorIfTrue| |$Category| - |$insideCategoryIfTrue| |$insideCapsuleFunctionIfTrue| - |$ConstructorNames| |$NoValueMode| |$EmptyMode| - |$insideWhereIfTrue| |$insideExpressionIfTrue|)) - (setq |$insideExpressionIfTrue| nil) - (setq form (|macroExpand| form e)) - (setq lhs (second form)) - (setq signature (third form)) - (setq specialCases (fourth form)) - (setq rhs (fifth form)) +\defun{signatureTran}{signatureTran} +\calls{signatureTran}{signatureTran} +\calls{signatureTran}{isCategoryForm} +\refsdollar{signatureTran}{e} +\begin{chunk}{defun signatureTran} +(defun |signatureTran| (pred) + (declare (special |$e|)) (cond - ((and |$insideWhereIfTrue| - (|isMacro| form e) - (or (equal m |$EmptyMode|) (equal m |$NoValueMode|))) - (list lhs m (|put| (car lhs) '|macro| rhs e))) - ((and (null (car signature)) (consp rhs) - (null (member (qcar rhs) |$ConstructorNames|)) - (setq sig (|getSignatureFromMode| lhs e))) - (|compDefine1| - (list 'def lhs (cons (car sig) (cdr signature)) specialCases rhs) m e)) - (|$insideCapsuleFunctionIfTrue| (|compInternalFunction| form m e)) + ((atom pred) pred) + ((and (consp pred) (eq (qfirst pred) '|has|) (CONSP (qrest pred)) + (consp (qcddr pred)) + (eq (qcdddr pred) nil) + (|isCategoryForm| (third pred) |$e|)) + (list '|ofCategory| (second pred) (third pred))) (t - (when (equal (car signature) |$Category|) (setq |$insideCategoryIfTrue| t)) - (setq e (|compDefineAddSignature| lhs signature e)) - (cond - ((null (dolist (x (rest signature) tmp1) (setq tmp1 (and tmp1 (null x))))) - (|compDefWhereClause| form m e)) - ((equal (car signature) |$Category|) - (|compDefineCategory| form m e nil |$formalArgList|)) - ((and (|isDomainForm| rhs e) (null |$insideFunctorIfTrue|)) - (when (null (car signature)) - (setq signature - (cons (|getTargetFromRhs| lhs rhs - (|giveFormalParametersValues| (cdr lhs) e)) - (cdr signature)))) - (setq rhs (|addEmptyCapsuleIfNecessary| (car signature) rhs)) - (|compDefineFunctor| - (list 'def lhs signature specialCases rhs) m e NIL |$formalArgList|)) - ((null |$form|) - (|stackAndThrow| (list "bad == form " form))) - (t - (setq newPrefix - (if |$prefix| - (intern (strconc (|encodeItem| |$prefix|) "," (|encodeItem| |$op|))) - (|getAbbreviation| |$op| (|#| (cdr |$form|))))) - (|compDefineCapsuleFunction| form m e newPrefix |$formalArgList|))))))) - -\end{chunk} - -\defplist{elt}{compElt} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|elt| 'special) '|compElt|)) + (loop for p in pred + collect (|signatureTran| p))))) \end{chunk} -\defun{compElt}{compElt} -\calls{compElt}{compForm} -\calls{compElt}{isDomainForm} -\calls{compElt}{addDomain} -\calls{compElt}{getModemapListFromDomain} -\calls{compElt}{length} -\calls{compElt}{stackMessage} -\calls{compElt}{stackWarning} -\calls{compElt}{convert} -\calls{compElt}{opOf} -\calls{compElt}{getDeltaEntry} -\calls{compElt}{nequal} -\usesdollar{compElt}{One} -\usesdollar{compElt}{Zero} -\begin{chunk}{defun compElt} -(defun |compElt| (form m e) - (let (aDomain anOp mmList n modemap sig pred val) - (declare (special |$One| |$Zero|)) - (setq anOp (third form)) - (setq aDomain (second form)) - (cond - ((null (and (pairp form) (eq (qcar form) '|elt|) - (pairp (qcdr form)) (pairp (qcdr (qcdr form))) - (eq (qcdr (qcdr (qcdr form))) nil))) - (|compForm| form m e)) - ((eq aDomain '|Lisp|) - (list (cond - ((equal anOp |$Zero|) 0) - ((equal anOp |$One|) 1) - (t anOp)) - m e)) - ((|isDomainForm| aDomain e) - (setq e (|addDomain| aDomain e)) - (setq mmList (|getModemapListFromDomain| anOp 0 aDomain e)) - (setq modemap - (progn - (setq n (|#| mmList)) +\defun{orderPredTran}{orderPredTran} +\calls{orderPredTran}{qcar} +\calls{orderPredTran}{qcdr} +\calls{orderPredTran}{member} +\calls{orderPredTran}{delete} +\calls{orderPredTran}{unionq} +\calls{orderPredTran}{listOfPatternIds} +\calls{orderPredTran}{intersectionq} +\calls{orderPredTran}{setdifference} +\calls{orderPredTran}{insertWOC} +\calls{orderPredTran}{isDomainSubst} +\begin{chunk}{defun orderPredTran} +(defun |orderPredTran| (oldList sig skip) + (let (lastDependList somethingDone lastPreds indepvl depvl dependList + noldList x ids fullDependList newList answer) +; --(1) make two kinds of predicates appear last: +; ----- (op *target ..) when *target does not appear later in sig +; ----- (isDomain *1 ..) + (SEQ + (loop for pred in oldList + do (cond + ((or (and (consp pred) (consp (qrest pred)) + (consp (qcddr pred)) + (eq (qcdddr pred) nil) + (member (qfirst pred) '(|isDomain| |ofCategory|)) + (equal (qsecond pred) (car sig)) + (null (|member| (qsecond pred) (cdr sig)))) + (and (null skip) (consp pred) (eq (qfirst pred) '|isDomain|) + (consp (qrest pred)) (consp (qcddr pred)) + (eq (qcdddr pred) nil) + (equal (qsecond pred) '*1))) + (setq oldList (|delete| pred oldList)) + (setq lastPreds (cons pred lastPreds))))) +; --(2a) lastDependList=list of all variables that lastPred forms depend upon + (setq lastDependList + (let (result) + (loop for x in lastPreds + do (setq result (unionq result (|listOfPatternIds| x)))) + result)) +; --(2b) dependList=list of all variables that isDom/ofCat forms depend upon + (setq dependList + (let (result) + (loop for x in oldList + do (when + (and (consp x) + (or (eq (qfirst x) '|isDomain|) (eq (qfirst x) '|ofCategory|)) + (consp (qrest x)) (consp (qcddr x)) + (eq (qcdddr x) nil)) + (setq result (unionq result (|listOfPatternIds| (third x)))))) + result)) +; --(3a) newList= list of ofCat/isDom entries that don't depend on + (loop for x in oldList + do + (cond + ((and (consp x) + (or (eq (qfirst x) '|ofCategory|) (eq (qfirst x) '|isDomain|)) + (consp (qrest x)) (consp (qcddr x)) + (eq (qcdddr x) nil)) + (setq indepvl (|listOfPatternIds| (second x))) + (setq depvl (|listOfPatternIds| (third x)))) + (t + (setq indepvl (|listOfPatternIds| x)) + (setq depvl nil))) + (when + (and (null (intersectionq indepvl dependList)) + (intersectionq indepvl lastDependList)) + (setq somethingDone t) + (setq lastPreds (append lastPreds (list x))) + (setq oldList (|delete| x oldList)))) +; --(3b) newList= list of ofCat/isDom entries that don't depend on + (loop while oldList do + (loop for x in oldList do (cond - ((eql 1 n) (elt mmList 0)) - ((eql 0 n) - (|stackMessage| - (list "Operation " '|%b| anOp '|%d| "missing from domain: " - aDomain nil)) - nil) + ((and (consp x) + (or (eq (qfirst x) '|ofCategory|) (eq (qfirst x) '|isDomain|)) + (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (setq indepvl (|listOfPatternIds| (second x))) + (setq depvl (|listOfPatternIds| (third x)))) (t - (|stackWarning| - (list "more than 1 modemap for: " anOp " with dc=" - aDomain " ===>" mmList )) - (elt mmList 0))))) - (when modemap - (setq sig (first modemap)) - (setq pred (caadr modemap)) - (setq val (cadadr modemap)) - (unless (and (nequal (|#| sig) 2) - (null (and (pairp val) (eq (qcar val) '|elt|)))) - (setq val (|genDeltaEntry| (cons (|opOf| anOp) modemap))) - (|convert| (list (list '|call| val) (second sig) e) m)))) - (t - (|compForm| form m e))))) + (setq indepvl (|listOfPatternIds| x)) + (setq depvl nil))) + (when (null (intersectionq indepvl dependList)) + (setq dependList (SETDIFFERENCE dependList depvl)) + (setq newList (APPEND newList (list x))))) +; --(4) noldList= what is left over + (cond + ((equal (setq noldList (setdifference oldList newList)) oldList) + (setq newList (APPEND newList oldList)) + (return nil)) + (t + (setq oldList noldList)))) + (loop for pred in newList do + (when + (and (consp pred) + (or (eq (qfirst pred) '|isDomain|) (eq (qfirst x) '|ofCategory|)) + (consp (qrest pred)) + (consp (qcddr pred)) + (eq (qcdddr pred) nil)) + (setq ids (|listOfPatternIds| (third pred))) + (when + (let (result) + (loop for id in ids do + (setq result (and result (|member| id fullDependList)))) + result) + (setq fullDependList (|insertWOC| (second pred) fullDependList))) + (setq fullDependList (unionq fullDependList ids)))) + (setq newList (append newList lastPreds)) + (setq newList (|isDomainSubst| newList)) + (setq answer + (cons (cons 'and newList) (intersectionq fullDependList sig)))))) \end{chunk} -\defplist{exit}{compExit} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|exit| 'special) '|compExit|)) +\defun{isDomainSubst}{isDomainSubst} +\begin{chunk}{defun isDomainSubst} +(defun |isDomainSubst| (u) + (labels ( + (findSub (x alist) + (cond + ((null alist) nil) + ((and (consp alist) (consp (qfirst alist)) + (eq (qcaar alist) '|isDomain|) + (consp (qcdar alist)) + (consp (qcddar alist)) + (eq (qcdddar alist) nil) + (equal x (cadar alist))) + (caddar alist)) + (t (findSub x (cdr alist))))) + (fn (x alist) + (let (s) + (declare (special |$PatternVariableList|)) + (if (atom x) + (if + (and (identp x) + (member x |$PatternVariableList|) + (setq s (findSub x alist))) + s + x) + (cons (car x) + (loop for y in (cdr x) + collect (fn y alist))))))) + (let (head tail nhead) + (if (consp u) + (progn + (setq head (qfirst u)) + (setq tail (qrest u)) + (setq nhead + (cond + ((and (consp head) (eq (qfirst head) '|isDomain|) + (consp (qrest head)) (consp (qcddr head)) + (eq (qcdddr head) nil)) + (list '|isDomain| (second head) + (fn (third head) tail))) + (t head))) + (cons nhead (|isDomainSubst| (cdr u)))) + u)))) \end{chunk} -\defun{compExit}{compExit} -\calls{compExit}{comp} -\calls{compExit}{modifyModeStack} -\calls{compExit}{stackMessageIfNone} -\usesdollar{compExit}{exitModeStack} -\begin{chunk}{defun compExit} -(defun |compExit| (arg0 m e) - (let (x index m1 u) - (declare (special |$exitModeStack|)) - (setq index (1- (second arg0))) - (setq x (third arg0)) +\defun{moveORsOutside}{moveORsOutside} +\calls{moveORsOutside}{moveORsOutside} +\begin{chunk}{defun moveORsOutside} +(defun |moveORsOutside| (p) + (let (q x) (cond - ((null |$exitModeStack|) - (|comp| x m e)) - (t - (setq m1 (elt |$exitModeStack| index)) - (setq u (|comp| x m1 e)) + ((and (consp p) (eq (qfirst p) 'and)) + (setq q + (prog (G167169) + (return + (do ((G167174 (cdr p) (cdr G167174)) (|r| nil)) + ((or (atom G167174)) (nreverse0 G167169)) + (setq |r| (CAR G167174)) + (setq G167169 (cons (|moveORsOutside| |r|) G167169)))))) (cond - (u - (|modifyModeStack| (second u) index) - (list (list '|TAGGEDexit| index u) m e)) - (t - (|stackMessageIfNone| - (list '|cannot compile exit expression| x '|in mode| m1)))))))) + ((setq x + (let (tmp1) + (loop for r in q + when (and (consp r) (eq (qfirst r) 'or)) + do (setq tmp1 (or tmp1 r))) + tmp1)) + (|moveORsOutside| + (cons 'or + (let (tmp1) + (loop for tt in (cdr x) + do (setq tmp1 (cons (cons 'and (msubst tt x q)) tmp1))) + (nreverse0 tmp1))))) + (t (cons 'and q)))) + (t p)))) + +;(defun |moveORsOutside| (p) +; (let (q s x tmp1) +; (cond +; ((and (consp p) (eq (qfirst p) 'and)) +; (setq q (loop for r in (qrest p) collect (|moveORsOutside| r))) +; (setq tmp1 +; (loop for r in q +; when (and (consp r) (eq (qrest r) 'or)) +; collect r)) +; (setq x (mapcar #'(lambda (a b) (or a b)) tmp1)) +; (if x +; (|moveORsOutside| +; (cons 'or +; (loop for tt in (cdr x) +; collect (cons 'and (msubst tt x q))))) +; (cons 'and q))) +; ('t p)))) \end{chunk} -\defplist{has}{compHas} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|has| 'special) '|compHas|)) +\defun{substVars}{substVars} +Make pattern variable substitutions. +\calls{substVars}{msubst} +\calls{substVars}{nsubst} +\calls{substVars}{contained} +\refsdollar{substVars}{FormalMapVariableList} +\begin{chunk}{defun substVars} +(defun |substVars| (pred patternAlist patternVarList) + (let (patVar value everything replacementVar domainPredicates) + (declare (special |$FormalMapVariableList|)) + (setq domainPredicates NIL) + (maplist + #'(lambda (x) + (setq patVar (caar x)) + (setq value (cdar x)) + (setq pred (msubst patVar value pred)) + (setq patternAlist (|nsubst| patVar value patternAlist)) + (setq domainPredicates (msubst patVar value domainPredicates)) + (unless (member value |$FormalMapVariableList|) + (setq domainPredicates + (cons (list '|isDomain| patVar value) domainPredicates)))) + patternAlist) + (setq everything (list pred patternAlist domainPredicates)) + (dolist (|var| |$FormalMapVariableList|) + (cond + ((contained |var| everything) + (setq replacementVar (car patternVarList)) + (setq patternVarList (cdr patternVarList)) + (setq pred (msubst replacementVar |var| pred)) + (setq domainPredicates + (msubst replacementVar |var| domainPredicates))))) + (list pred domainPredicates))) \end{chunk} -\defun{compHas}{compHas} -\calls{compHas}{chaseInferences} -\calls{compHas}{compHasFormat} -\calls{compHas}{coerce} -\usesdollar{compHas}{e} -\begin{chunk}{defun compHas} -(defun |compHas| (pred m |$e|) - (declare (special |$e|)) - (let (a b predCode) - (setq a (second pred)) - (setq b (third pred)) - (setq |$e| (|chaseInferences| pred |$e|)) - (setq predCode (|compHasFormat| pred)) - (|coerce| (list predCode |$Boolean| |$e|) m))) +\defun{modemapPattern}{modemapPattern} +\calls{modemapPattern}{qcar} +\calls{modemapPattern}{qcdr} +\calls{modemapPattern}{rassoc} +\refsdollar{modemapPattern}{PatternVariableList} +\begin{chunk}{defun modemapPattern} +(defun |modemapPattern| (mmPattern sig) + (let (partial patvar patvars mmpat patternAlist) + (declare (special |$PatternVariableList|)) + (setq patternAlist nil) + (setq mmpat nil) + (setq patvars |$PatternVariableList|) + (setq partial nil) + (maplist + #'(lambda (xTails) + (let ((x (car xTails))) + (when (and (consp x) (eq (qfirst x) '|Union|) + (consp (qrest x)) (consp (qcddr x)) + (eq (qcdddr x) nil) + (equal (third x) "failed") + (equal xTails sig)) + (setq x (second x)) + (setq partial t)) + (setq patvar (|rassoc| x patternAlist)) + (cond + ((null (null patvar)) + (setq mmpat (cons patvar mmpat))) + (t + (setq patvar (car patvars)) + (setq patvars (cdr patvars)) + (setq mmpat (cons patvar mmpat)) + (setq patternAlist (cons (cons patvar x) patternAlist)))))) + mmPattern) + (list (nreverse mmpat) patternAlist partial patvars))) \end{chunk} -\defplist{if}{compIf} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'if 'special) '|compIf|)) +\defun{evalAndRwriteLispForm}{evalAndRwriteLispForm} +\calls{evalAndRwriteLispForm}{eval} +\calls{evalAndRwriteLispForm}{rwriteLispForm} +\begin{chunk}{defun evalAndRwriteLispForm} +(defun |evalAndRwriteLispForm| (key form) + (|eval| form) + (|rwriteLispForm| key form)) \end{chunk} -\defun{compIf}{compIf} -\calls{compIf}{canReturn} -\calls{compIf}{intersectionEnvironment} -\calls{compIf}{compBoolean} -\calls{compIf}{compFromIf} -\calls{compIf}{resolve} -\calls{compIf}{coerce} -\calls{compIf}{quotify} -\usesdollar{compIf}{Boolean} -\begin{chunk}{defun compIf} -(defun |compIf| (arg m e) - (labels ( - (env (bEnv cEnv b c e) - (cond - ((|canReturn| b 0 0 t) - (if (|canReturn| c 0 0 t) (|intersectionEnvironment| bEnv cEnv) bEnv)) - ((|canReturn| c 0 0 t) cEnv) - (t e)))) - (let (a b c tmp1 xa ma Ea Einv Tb xb mb Eb Tc xc mc Ec xbp x returnEnv) - (declare (special |$Boolean|)) - (setq a (second arg)) - (setq b (third arg)) - (setq c (fourth arg)) - (when (setq tmp1 (|compBoolean| a |$Boolean| e)) - (setq xa (first tmp1)) - (setq ma (second tmp1)) - (setq Ea (third tmp1)) - (setq Einv (fourth tmp1)) - (when (setq Tb (|compFromIf| b m Ea)) - (setq xb (first Tb)) - (setq mb (second Tb)) - (setq Eb (third Tb)) - (when (setq Tc (|compFromIf| c (|resolve| mb m) Einv)) - (setq xc (first Tc)) - (setq mc (second Tc)) - (setq Ec (third Tc)) - (when (setq xbp (|coerce| Tb mc)) - (setq x (list 'if xa (|quotify| (first xbp)) (|quotify| xc))) - (setq returnEnv (env (third xbp) Ec (first xbp) xc e)) - (list x mc returnEnv)))))))) +\defun{rwriteLispForm}{rwriteLispForm} +\refsdollar{rwriteLispForm}{libFile} +\refsdollar{rwriteLispForm}{lisplib} +\begin{chunk}{defun rwriteLispForm} +(defun |rwriteLispForm| (key form) + (declare (special |$libFile| $lisplib)) + (when $lisplib + (|rwrite| key form |$libFile|) + (|LAM,FILEACTQ| key form))) \end{chunk} -\defplist{import}{compImport} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|import| 'special) '|compImport|)) +\defun{mkConstructor}{mkConstructor} +\calls{mkConstructor}{mkConstructor} +\begin{chunk}{defun mkConstructor} +(defun |mkConstructor| (form) + (cond + ((atom form) (list '|devaluate| form)) + ((null (rest form)) (list 'quote (list (first form)))) + (t + (cons 'list + (cons (mkq (first form)) + (loop for x in (rest form) collect (|mkConstructor| x))))))) + +\end{chunk} + +\defun{compDefineCategory}{compDefineCategory} +\calls{compDefineCategory}{compDefineLisplib} +\calls{compDefineCategory}{compDefineCategory1} +\usesdollar{compDefineCategory}{domainShell} +\usesdollar{compDefineCategory}{lisplibCategory} +\usesdollar{compDefineCategory}{lisplib} +\usesdollar{compDefineCategory}{insideFunctorIfTrue} +\begin{chunk}{defun compDefineCategory} +(defun |compDefineCategory| (df mode env prefix fal) + (let (|$domainShell| |$lisplibCategory|) + (declare (special |$domainShell| |$lisplibCategory| $lisplib + |$insideFunctorIfTrue|)) + (setq |$domainShell| nil) ; holds the category of the object being compiled + (setq |$lisplibCategory| nil) + (if (and (null |$insideFunctorIfTrue|) $lisplib) + (|compDefineLisplib| df mode env prefix fal '|compDefineCategory1|) + (|compDefineCategory1| df mode env prefix fal)))) + +\end{chunk} + +\defun{compDefineLisplib}{compDefineLisplib} +\calls{compDefineLisplib}{sayMSG} +\calls{compDefineLisplib}{fillerSpaces} +\calls{compDefineLisplib}{getConstructorAbbreviation} +\calls{compDefineLisplib}{compileDocumentation} +\calls{compDefineLisplib}{bright} +\calls{compDefineLisplib}{finalizeLisplib} +\calls{compDefineLisplib}{rshut} +\calls{compDefineLisplib}{lisplibDoRename} +\calls{compDefineLisplib}{filep} +\calls{compDefineLisplib}{rpackfile} +\calls{compDefineLisplib}{unloadOneConstructor} +\calls{compDefineLisplib}{localdatabase} +\calls{compDefineLisplib}{getdatabase} +\calls{compDefineLisplib}{updateCategoryFrameForCategory} +\calls{compDefineLisplib}{updateCategoryFrameForConstructor} +\refsdollar{compDefineLisplib}{compileDocumentation} +\refsdollar{compDefineLisplib}{filep} +\refsdollar{compDefineLisplib}{spadLibFT} +\refsdollar{compDefineLisplib}{algebraOutputStream} +\refsdollar{compDefineLisplib}{newConlist} +\refsdollar{compDefineLisplib}{lisplibKind} +\defsdollar{compDefineLisplib}{lisplib} +\defsdollar{compDefineLisplib}{op} +\defsdollar{compDefineLisplib}{lisplibParents} +\defsdollar{compDefineLisplib}{lisplibPredicates} +\defsdollar{compDefineLisplib}{lisplibCategoriesExtended} +\defsdollar{compDefineLisplib}{lisplibForm} +\defsdollar{compDefineLisplib}{lisplibKind} +\defsdollar{compDefineLisplib}{lisplibAbbreviation} +\defsdollar{compDefineLisplib}{lisplibAncestors} +\defsdollar{compDefineLisplib}{lisplibModemap} +\defsdollar{compDefineLisplib}{lisplibModemapAlist} +\defsdollar{compDefineLisplib}{lisplibSlot1} +\defsdollar{compDefineLisplib}{lisplibOperationAlist} +\defsdollar{compDefineLisplib}{lisplibSuperDomain} +\defsdollar{compDefineLisplib}{libFile} +\defsdollar{compDefineLisplib}{lisplibVariableAlist} +\defsdollar{compDefineLisplib}{lisplibCategory} +\defsdollar{compDefineLisplib}{newConlist} +\begin{chunk}{defun compDefineLisplib} +(defun |compDefineLisplib| (df m env prefix fal fn) + (let ($LISPLIB |$op| |$lisplibAttributes| |$lisplibPredicates| + |$lisplibCategoriesExtended| |$lisplibForm| |$lisplibKind| + |$lisplibAbbreviation| |$lisplibParents| |$lisplibAncestors| + |$lisplibModemap| |$lisplibModemapAlist| |$lisplibSlot1| + |$lisplibOperationAlist| |$lisplibSuperDomain| |$libFile| + |$lisplibVariableAlist| |$lisplibCategory| op libname res ok filearg) + (declare (special $lisplib |$op| |$lisplibAttributes| |$newConlist| + |$lisplibPredicates| |$lisplibCategoriesExtended| + |$lisplibForm| |$lisplibKind| |$algebraOutputStream| + |$lisplibAbbreviation| |$lisplibParents| |$spadLibFT| + |$lisplibAncestors| |$lisplibModemap| $filep + |$lisplibModemapAlist| |$lisplibSlot1| + |$lisplibOperationAlist| |$lisplibSuperDomain| + |$libFile| |$lisplibVariableAlist| + |$lisplibCategory| |$compileDocumentation|)) + (when (eq (car df) 'def) (car df)) + (setq op (caadr df)) + (|sayMSG| (|fillerSpaces| 72 "-")) + (setq $lisplib t) + (setq |$op| op) + (setq |$lisplibAttributes| nil) + (setq |$lisplibPredicates| nil) + (setq |$lisplibCategoriesExtended| nil) + (setq |$lisplibForm| nil) + (setq |$lisplibKind| nil) + (setq |$lisplibAbbreviation| nil) + (setq |$lisplibParents| nil) + (setq |$lisplibAncestors| nil) + (setq |$lisplibModemap| nil) + (setq |$lisplibModemapAlist| nil) + (setq |$lisplibSlot1| nil) + (setq |$lisplibOperationAlist| nil) + (setq |$lisplibSuperDomain| nil) + (setq |$libFile| nil) + (setq |$lisplibVariableAlist| nil) + (setq |$lisplibCategory| nil) + (setq libname (|getConstructorAbbreviation| op)) + (cond + ((and (boundp '|$compileDocumentation|) |$compileDocumentation|) + (|compileDocumentation| libname)) + (t + (|sayMSG| (cons " initializing " (cons |$spadLibFT| + (append (|bright| libname) (cons "for" (|bright| op)))))) + (|initializeLisplib| libname) + (|sayMSG| + (cons " compiling into " (cons |$spadLibFT| (|bright| libname)))) + (setq ok nil) + (unwind-protect + (progn + (setq res (funcall fn df m env prefix fal)) + (|sayMSG| (cons " finalizing " (cons |$spadLibFT| (|bright| libname)))) + (|finalizeLisplib| libname) + (setq ok t)) + (rshut |$libFile|)) + (when ok (|lisplibDoRename| libname)) + (setq filearg ($filep libname |$spadLibFT| 'a)) + (rpackfile filearg) + (fresh-line |$algebraOutputStream|) + (|sayMSG| (|fillerSpaces| 72 "-")) + (|unloadOneConstructor| op libname) + (localdatabase (list (getdatabase op 'abbreviation)) nil) + (setq |$newConlist| (cons op |$newConlist|)) + (when (eq |$lisplibKind| '|category|) + (|updateCategoryFrameForCategory| op) + (|updateCategoryFrameForConstructor| op)) + res)))) + +\end{chunk} + +\defun{unloadOneConstructor}{unloadOneConstructor} +\calls{unloadOneConstructor}{remprop} +\calls{unloadOneConstructor}{mkAutoLoad} +\begin{chunk}{defun unloadOneConstructor} +(defun |unloadOneConstructor| (cnam fn) + (remprop cnam 'loaded) + (setf (symbol-function cnam) (|mkAutoLoad| fn cnam))) + +\end{chunk} + +\defun{compileDocumentation}{compileDocumentation} +\calls{compileDocumentation}{make-input-filename} +\calls{compileDocumentation}{rdefiostream} +\calls{compileDocumentation}{lisplibWrite} +\calls{compileDocumentation}{finalizeDocumentation} +\calls{compileDocumentation}{rshut} +\calls{compileDocumentation}{rpackfile} +\calls{compileDocumentation}{replaceFile} +\refsdollar{compileDocumentation}{fcopy} +\refsdollar{compileDocumentation}{spadLibFT} +\refsdollar{compileDocumentation}{EmptyMode} +\refsdollar{compileDocumentation}{e} +\begin{chunk}{defun compileDocumentation} +(defun |compileDocumentation| (libName) + (let (filename stream) + (declare (special |$e| |$EmptyMode| |$spadLibFT| $fcopy)) + (setq filename (make-input-filename libName |$spadLibFT|)) + ($fcopy filename (cons libname (list 'doclb))) + (setq stream + (rdefiostream (cons (list 'file libName 'doclb) (list (cons 'mode 'o))))) + (|lisplibWrite| "documentation" (|finalizeDocumentation|) stream) + (rshut stream) + (rpackfile (list libName 'doclb)) + (replaceFile (list libName |$spadLibFT|) (list libName 'doclb)) + (list '|dummy| |$EmptyMode| |$e|))) + +\end{chunk} + +\defun{lisplibDoRename}{lisplibDoRename} +\calls{lisplibDoRename}{replaceFile} +\refsdollar{lisplibDoRename}{spadLibFT} +\begin{chunk}{defun lisplibDoRename} +(defun |lisplibDoRename| (libName) + (declare (special |$spadLibFT|)) + (replaceFile (list libName |$spadLibFT| 'a) (list libName 'errorlib 'a))) + +\end{chunk} + +\defun{initializeLisplib}{initializeLisplib} +\calls{initializeLisplib}{erase} +\calls{initializeLisplib}{writeLib1} +\calls{initializeLisplib}{addoptions} +\calls{initializeLisplib}{pathnameTypeId} +\calls{initializeLisplib}{LAM,FILEACTQ} +\refsdollar{initializeLisplib}{erase} +\refsdollar{initializeLisplib}{libFile} +\defsdollar{initializeLisplib}{libFile} +\defsdollar{initializeLisplib}{lisplibForm} +\defsdollar{initializeLisplib}{lisplibModemap} +\defsdollar{initializeLisplib}{lisplibKind} +\defsdollar{initializeLisplib}{lisplibModemapAlist} +\defsdollar{initializeLisplib}{lisplibAbbreviation} +\defsdollar{initializeLisplib}{lisplibAncestors} +\defsdollar{initializeLisplib}{lisplibOpAlist} +\defsdollar{initializeLisplib}{lisplibOperationAlist} +\defsdollar{initializeLisplib}{lisplibSuperDomain} +\defsdollar{initializeLisplib}{lisplibVariableAlist} +\defsdollar{initializeLisplib}{lisplibSignatureAlist} +\uses{initializeLisplib}{/editfile} +\uses{initializeLisplib}{/major-version} +\uses{initializeLisplib}{errors} +\begin{chunk}{defun initializeLisplib} +(defun |initializeLisplib| (libName) + (declare (special $erase |$libFile| |$lisplibForm| + |$lisplibModemap| |$lisplibKind| |$lisplibModemapAlist| + |$lisplibAbbreviation| |$lisplibAncestors| + |$lisplibOpAlist| |$lisplibOperationAlist| + |$lisplibSuperDomain| |$lisplibVariableAlist| errors + |$lisplibSignatureAlist| /editfile /major-version errors)) + ($erase libName 'errorlib 'a) + (setq errors 0) + (setq |$libFile| (|writeLib1| libname 'errorlib 'a)) + (addoptions 'file |$libFile|) + (setq |$lisplibForm| nil) + (setq |$lisplibModemap| nil) + (setq |$lisplibKind| nil) + (setq |$lisplibModemapAlist| nil) + (setq |$lisplibAbbreviation| nil) + (setq |$lisplibAncestors| nil) + (setq |$lisplibOpAlist| nil) + (setq |$lisplibOperationAlist| nil) + (setq |$lisplibSuperDomain| nil) + (setq |$lisplibVariableAlist| nil) + (setq |$lisplibSignatureAlist| nil) + (when (eq (|pathnameTypeId| /editfile) 'spad) + (|LAM,FILEACTQ| 'version (list '/versioncheck /major-version)))) + +\end{chunk} + +\defun{writeLib1}{writeLib1} +\calls{writeLib1}{rdefiostream} +\begin{chunk}{defun writeLib1} +(defun |writeLib1| (fn ft fm) + (rdefiostream (cons (list 'file fn ft fm) (list '(mode . output))))) + +\end{chunk} + + +\defun{finalizeLisplib}{finalizeLisplib} +\calls{finalizeLisplib}{lisplibWrite} +\calls{finalizeLisplib}{removeZeroOne} +\calls{finalizeLisplib}{namestring} +\calls{finalizeLisplib}{getConstructorOpsAndAtts} +\calls{finalizeLisplib}{NRTgenInitialAttributeAlist} +\calls{finalizeLisplib}{mergeSignatureAndLocalVarAlists} +\calls{finalizeLisplib}{finalizeDocumentation} +\calls{finalizeLisplib}{profileWrite} +\calls{finalizeLisplib}{sayMSG} +\refsdollar{finalizeLisplib}{lisplibForm} +\refsdollar{finalizeLisplib}{libFile} +\refsdollar{finalizeLisplib}{lisplibKind} +\refsdollar{finalizeLisplib}{lisplibModemap} +\refsdollar{finalizeLisplib}{lisplibCategory} +\refsdollar{finalizeLisplib}{/editfile} +\refsdollar{finalizeLisplib}{lisplibModemapAlist} +\refsdollar{finalizeLisplib}{lisplibForm} +\refsdollar{finalizeLisplib}{lisplibModemap} +\refsdollar{finalizeLisplib}{FormalMapVariableList} +\refsdollar{finalizeLisplib}{lisplibSuperDomain} +\refsdollar{finalizeLisplib}{lisplibSignatureAlist} +\refsdollar{finalizeLisplib}{lisplibVariableAlist} +\refsdollar{finalizeLisplib}{lisplibAttributes} +\refsdollar{finalizeLisplib}{lisplibPredicates} +\refsdollar{finalizeLisplib}{lisplibAbbreviation} +\refsdollar{finalizeLisplib}{lisplibParents} +\refsdollar{finalizeLisplib}{lisplibAncestors} +\refsdollar{finalizeLisplib}{lisplibSlot1} +\refsdollar{finalizeLisplib}{profileCompiler} +\refsdollar{finalizeLisplib}{spadLibFT} +\defsdollar{finalizeLisplib}{lisplibCategory} +\defsdollar{finalizeLisplib}{pairlis} +\defsdollar{finalizeLisplib}{NRTslot1PredicateList} +\begin{chunk}{defun finalizeLisplib} +(defun |finalizeLisplib| (libName) + (let (|$pairlis| |$NRTslot1PredicateList| kind opsAndAtts) + (declare (special |$pairlis| |$NRTslot1PredicateList| |$spadLibFT| + |$lisplibForm| |$profileCompiler| |$libFile| + |$lisplibSlot1| |$lisplibAncestors| |$lisplibParents| + |$lisplibAbbreviation| |$lisplibPredicates| + |$lisplibAttributes| |$lisplibVariableAlist| + |$lisplibSignatureAlist| |$lisplibSuperDomain| + |$FormalMapVariableList| |$lisplibModemap| + |$lisplibModemapAlist| /editfile |$lisplibCategory| + |$lisplibKind| errors)) + (|lisplibWrite| "constructorForm" + (|removeZeroOne| |$lisplibForm|) |$libFile|) + (|lisplibWrite| "constructorKind" + (setq kind (|removeZeroOne| |$lisplibKind|)) |$libFile|) + (|lisplibWrite| "constructorModemap" + (|removeZeroOne| |$lisplibModemap|) |$libFile|) + (setq |$lisplibCategory| (or |$lisplibCategory| (cadar |$lisplibModemap|))) + (|lisplibWrite| "constructorCategory" |$lisplibCategory| |$libFile|) + (|lisplibWrite| "sourceFile" (|namestring| /editfile) |$libFile|) + (|lisplibWrite| "modemaps" + (|removeZeroOne| |$lisplibModemapAlist|) |$libFile|) + (setq opsAndAtts + (|getConstructorOpsAndAtts| |$lisplibForm| kind |$lisplibModemap|)) + (|lisplibWrite| "operationAlist" + (|removeZeroOne| (car opsAndAtts)) |$libFile|) + (when (eq kind '|category|) + (setq |$pairlis| + (loop for a in (rest |$lisplibForm|) + for v in |$FormalMapVariableList| + collect (cons a v))) + (setq |$NRTslot1PredicateList| nil) + (|NRTgenInitialAttributeAlist| (cdr opsAndAtts))) + (|lisplibWrite| "superDomain" + (|removeZeroOne| |$lisplibSuperDomain|) |$libFile|) + (|lisplibWrite| "signaturesAndLocals" + (|removeZeroOne| + (|mergeSignatureAndLocalVarAlists| |$lisplibSignatureAlist| + |$lisplibVariableAlist|)) + |$libFile|) + (|lisplibWrite| "attributes" + (|removeZeroOne| |$lisplibAttributes|) |$libFile|) + (|lisplibWrite| "predicates" + (|removeZeroOne| |$lisplibPredicates|) |$libFile|) + (|lisplibWrite| "abbreviation" |$lisplibAbbreviation| |$libFile|) + (|lisplibWrite| "parents" (|removeZeroOne| |$lisplibParents|) |$libFile|) + (|lisplibWrite| "ancestors" (|removeZeroOne| |$lisplibAncestors|) |$libFile|) + (|lisplibWrite| "documentation" (|finalizeDocumentation|) |$libFile|) + (|lisplibWrite| "slot1Info" (|removeZeroOne| |$lisplibSlot1|) |$libFile|) + (when |$profileCompiler| (|profileWrite|)) + (when (and |$lisplibForm| (null (cdr |$lisplibForm|))) + (setf (get (car |$lisplibForm|) 'niladic) t)) + (unless (eql errors 0) + (|sayMSG| (list " Errors in processing " kind " " libName ":")) + (|sayMSG| (list " not replacing " |$spadLibFT| " for" libName))))) + +\end{chunk} + +\defun{getConstructorOpsAndAtts}{getConstructorOpsAndAtts} +\calls{getConstructorOpsAndAtts}{getCategoryOpsAndAtts} +\calls{getConstructorOpsAndAtts}{getFunctorOpsAndAtts} +\begin{chunk}{defun getConstructorOpsAndAtts} +(defun |getConstructorOpsAndAtts| (form kind modemap) + (if (eq kind '|category|) + (|getCategoryOpsAndAtts| form) + (|getFunctorOpsAndAtts| form modemap))) + +\end{chunk} + +\defun{getCategoryOpsAndAtts}{getCategoryOpsAndAtts} +\calls{getCategoryOpsAndAtts}{transformOperationAlist} +\calls{getCategoryOpsAndAtts}{getSlotFromCategoryForm} +\calls{getCategoryOpsAndAtts}{getSlotFromCategoryForm} +\begin{chunk}{defun getCategoryOpsAndAtts} +(defun |getCategoryOpsAndAtts| (catForm) + (cons (|transformOperationAlist| (|getSlotFromCategoryForm| catForm 1)) + (|getSlotFromCategoryForm| catForm 2))) + +\end{chunk} + +\defun{getSlotFromCategoryForm}{getSlotFromCategoryForm} +\calls{getSlotFromCategoryForm}{eval} +\calls{getSlotFromCategoryForm}{take} +\calls{getSlotFromCategoryForm}{systemErrorHere} +\refsdollar{getSlotFromCategoryForm}{FormalMapVariableList} +\begin{chunk}{defun getSlotFromCategoryForm} +(defun |getSlotFromCategoryForm| (opargs index) + (let (op argl u) + (declare (special |$FormalMapVariableList|)) + (setq op (first opargs)) + (setq argl (rest opargs)) + (setq u + (|eval| (cons op (mapcar 'mkq (take (|#| argl) |$FormalMapVariableList|))))) + (if (null (vecp u)) + (|systemErrorHere| "getSlotFromCategoryForm") + (elt u index)))) + +\end{chunk} + +\defun{transformOperationAlist}{transformOperationAlist} +This transforms the operationAlist which is written out onto LISPLIBs. +The original form of this list is a list of items of the form: +\begin{verbatim} + (( ) ( (ELT $ n))) +\end{verbatim} +The new form is an op-Alist which has entries +\begin{verbatim} + ( . signature-Alist) +\end{verbatim} +where signature-Alist has entries +\begin{verbatim} + ( . item) +\end{verbatim} +where item has form +\begin{verbatim} + ( ) +\end{verbatim} +\begin{verbatim} + where = + NIL => function + CONST => constant ... and others +\end{verbatim} +\calls{transformOperationAlist}{member} +\calls{transformOperationAlist}{keyedSystemError} +\calls{transformOperationAlist}{assoc} +\calls{transformOperationAlist}{lassq} +\calls{transformOperationAlist}{insertAlist} +\refsdollar{transformOperationAlist}{functionLocations} +\begin{chunk}{defun transformOperationAlist} +(defun |transformOperationAlist| (operationAlist) + (let (op sig condition implementation eltEtc impOp kind u n signatureItem + itemList newAlist) + (declare (special |$functionLocations|)) + (setq newAlist nil) + (dolist (item operationAlist) + (setq op (caar item)) + (setq sig (cadar item)) + (setq condition (cadr item)) + (setq implementation (caddr item)) + (setq kind + (cond + ((and (consp implementation) (consp (qrest implementation)) + (consp (qcddr implementation)) + (eq (qcdddr implementation) nil) + (progn (setq n (qthird implementation)) t) + (|member| (setq eltEtc (qfirst implementation)) '(const elt))) + eltEtc) + ((consp implementation) + (setq impOp (qfirst implementation)) + (cond + ((eq impop 'xlam) implementation) + ((|member| impOp '(const |Subsumed|)) impOp) + (t (|keyedSystemError| 's2il0025 (list impop))))) + ((eq implementation '|mkRecord|) '|mkRecord|) + (t (|keyedSystemError| 's2il0025 (list implementation))))) + (when (setq u (|assoc| (list op sig) |$functionLocations|)) + (setq n (cons n (cdr u)))) + (setq signatureItem + (if (eq kind 'elt) + (if (eq condition t) + (list sig n) + (list sig n condition)) + (list sig n condition kind))) + (setq itemList (cons signatureItem (lassq op newAlist))) + (setq newAlist (|insertAlist| op itemList newAlist))) + newAlist)) \end{chunk} -\defun{compImport}{compImport} -\calls{compImport}{addDomain} -\usesdollar{compImport}{NoValueMode} -\begin{chunk}{defun compImport} -(defun |compImport| (arg m e) - (declare (ignore m)) - (declare (special |$NoValueMode|)) - (dolist (dom (cdr arg)) (setq e (|addDomain| dom e))) - (list '|/throwAway| |$NoValueMode| e)) +\defun{getFunctorOpsAndAtts}{getFunctorOpsAndAtts} +\calls{getFunctorOpsAndAtts}{transformOperationAlist} +\calls{getFunctorOpsAndAtts}{getSlotFromFunctor} +\begin{chunk}{defun getFunctorOpsAndAtts} +(defun |getFunctorOpsAndAtts| (form modemap) + (cons (|transformOperationAlist| (|getSlotFromFunctor| form 1 modemap)) + (|getSlotFromFunctor| form 2 modemap))) \end{chunk} -\defplist{is}{compIs} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|is| 'special) '|compIs|)) +\defun{getSlotFromFunctor}{getSlotFromFunctor} +\calls{getSlotFromFunctor}{compMakeCategoryObject} +\calls{getSlotFromFunctor}{systemErrorHere} +\refsdollar{getSlotFromFunctor}{e} +\refsdollar{getSlotFromFunctor}{lisplibOperationAlist} +\begin{chunk}{defun getSlotFromFunctor} +(defun |getSlotFromFunctor| (arg1 slot arg2) + (declare (ignore arg1)) + (let (tt) + (declare (special |$e| |$lisplibOperationAlist|)) + (cond + ((eql slot 1) |$lisplibOperationAlist|) + (t + (setq tt (or (|compMakeCategoryObject| (cadar arg2) |$e|) + (|systemErrorHere| "getSlotFromFunctor"))) + (elt (car tt) slot))))) \end{chunk} -\defun{compIs}{compIs} -\calls{compIs}{comp} -\calls{compIs}{coerce} -\usesdollar{compIs}{Boolean} -\usesdollar{compIs}{EmptyMode} -\begin{chunk}{defun compIs} -(defun |compIs| (arg m e) - (let (a b aval am tmp1 bval bm td) - (declare (special |$Boolean| |$EmptyMode|)) - (setq a (CADR arg)) - (setq b (CADDR arg)) - (when (setq tmp1 (|comp| a |$EmptyMode| e)) - (setq aval (CAR tmp1)) - (setq am (CADR tmp1)) - (setq e (CADDR tmp1)) - (when (setq tmp1 (|comp| b |$EmptyMode| e)) - (setq bval (CAR tmp1)) - (setq bm (CADR tmp1)) - (setq e (CADDR tmp1)) - (setq td (list (list '|domainEqual| aval bval) |$Boolean| e )) - (|coerce| td m))))) +\defun{compMakeCategoryObject}{compMakeCategoryObject} +\calls{compMakeCategoryObject}{isCategoryForm} +\calls{compMakeCategoryObject}{mkEvalableCategoryForm} +\refsdollar{compMakeCategoryObject}{e} +\refsdollar{compMakeCategoryObject}{Category} +\begin{chunk}{defun compMakeCategoryObject} +(defun |compMakeCategoryObject| (c |$e|) + (declare (special |$e|)) + (let (u) + (declare (special |$Category|)) + (cond + ((null (|isCategoryForm| c |$e|)) nil) + ((setq u (|mkEvalableCategoryForm| c)) (list (|eval| u) |$Category| |$e|)) + (t nil)))) + +\end{chunk} + +\defun{mergeSignatureAndLocalVarAlists}{mergeSignatureAndLocalVarAlists} +\calls{mergeSignatureAndLocalVarAlists}{lassoc} +\begin{chunk}{defun mergeSignatureAndLocalVarAlists} +(defun |mergeSignatureAndLocalVarAlists| (signatureAlist localVarAlist) + (loop for item in signatureAlist + collect + (cons (first item) + (cons (rest item) + (lassoc (first item) localVarAlist))))) + +\end{chunk} + +\defun{lisplibWrite}{lisplibWrite} +\calls{lisplibWrite}{rwrite128} +\refsdollar{lisplibWrite}{lisplib} +\begin{chunk}{defun lisplibWrite} +(defun |lisplibWrite| (prop val filename) + (declare (special $lisplib)) + (when $lisplib (|rwrite| prop val filename))) + +\end{chunk} + +\defun{compDefineFunctor}{compDefineFunctor} +\calls{compDefineFunctor}{compDefineLisplib} +\calls{compDefineFunctor}{compDefineFunctor1} +\usesdollar{compDefineFunctor}{domainShell} +\usesdollar{compDefineFunctor}{profileCompiler} +\usesdollar{compDefineFunctor}{lisplib} +\usesdollar{compDefineFunctor}{profileAlist} +\begin{chunk}{defun compDefineFunctor} +(defun |compDefineFunctor| (df mode env prefix fal) + (let (|$domainShell| |$profileCompiler| |$profileAlist|) + (declare (special |$domainShell| |$profileCompiler| $lisplib |$profileAlist|)) + (setq |$domainShell| nil) + (setq |$profileCompiler| t) + (setq |$profileAlist| nil) + (if $lisplib + (|compDefineLisplib| df mode env prefix fal '|compDefineFunctor1|) + (|compDefineFunctor1| df mode env prefix fal)))) + +\end{chunk} + +\defun{compDefineFunctor1}{compDefineFunctor1} +\calls{compDefineFunctor1}{isCategoryPackageName} +\calls{compDefineFunctor1}{getArgumentModeOrMoan} +\calls{compDefineFunctor1}{getModemap} +\calls{compDefineFunctor1}{giveFormalParametersValues} +\calls{compDefineFunctor1}{compMakeCategoryObject} +\calls{compDefineFunctor1}{sayBrightly} +\calls{compDefineFunctor1}{pp} +\calls{compDefineFunctor1}{strconc} +\calls{compDefineFunctor1}{pname} +\calls{compDefineFunctor1}{disallowNilAttribute} +\calls{compDefineFunctor1}{remdup} +\calls{compDefineFunctor1}{NRTgenInitialAttributeAlist} +\calls{compDefineFunctor1}{NRTgetLocalIndex} +\calls{compDefineFunctor1}{compMakeDeclaration} +\calls{compDefineFunctor1}{qcar} +\calls{compDefineFunctor1}{qcdr} +\calls{compDefineFunctor1}{augModemapsFromCategoryRep} +\calls{compDefineFunctor1}{augModemapsFromCategory} +\calls{compDefineFunctor1}{sublis} +\calls{compDefineFunctor1}{maxindex} +\calls{compDefineFunctor1}{makeFunctorArgumentParameters} +\calls{compDefineFunctor1}{compFunctorBody} +\calls{compDefineFunctor1}{reportOnFunctorCompilation} +\calls{compDefineFunctor1}{compile} +\calls{compDefineFunctor1}{augmentLisplibModemapsFromFunctor} +\calls{compDefineFunctor1}{reportOnFunctorCompilation} +\calls{compDefineFunctor1}{getParentsFor} +\calls{compDefineFunctor1}{computeAncestorsOf} +\calls{compDefineFunctor1}{constructor?} +\calls{compDefineFunctor1}{nequal} +\calls{compDefineFunctor1}{NRTmakeSlot1Info} +\calls{compDefineFunctor1}{isCategoryPackageName} +\calls{compDefineFunctor1}{lisplibWrite} +\calls{compDefineFunctor1}{mkq} +\calls{compDefineFunctor1}{getdatabase} +\calls{compDefineFunctor1}{NRTgetLookupFunction} +\calls{compDefineFunctor1}{simpBool} +\calls{compDefineFunctor1}{removeZeroOne} +\calls{compDefineFunctor1}{evalAndRwriteLispForm} +\usesdollar{compDefineFunctor1}{lisplib} +\usesdollar{compDefineFunctor1}{top-level} +\usesdollar{compDefineFunctor1}{bootStrapMode} +\usesdollar{compDefineFunctor1}{CategoryFrame} +\usesdollar{compDefineFunctor1}{CheckVectorList} +\usesdollar{compDefineFunctor1}{FormalMapVariableList} +\usesdollar{compDefineFunctor1}{LocalDomainAlist} +\usesdollar{compDefineFunctor1}{NRTaddForm} +\usesdollar{compDefineFunctor1}{NRTaddList} +\usesdollar{compDefineFunctor1}{NRTattributeAlist} +\usesdollar{compDefineFunctor1}{NRTbase} +\usesdollar{compDefineFunctor1}{NRTdeltaLength} +\usesdollar{compDefineFunctor1}{NRTdeltaListComp} +\usesdollar{compDefineFunctor1}{NRTdeltaList} +\usesdollar{compDefineFunctor1}{NRTdomainFormList} +\usesdollar{compDefineFunctor1}{NRTloadTimeAlist} +\usesdollar{compDefineFunctor1}{NRTslot1Info} +\usesdollar{compDefineFunctor1}{NRTslot1PredicateList} +\usesdollar{compDefineFunctor1}{Representation} +\usesdollar{compDefineFunctor1}{addForm} +\usesdollar{compDefineFunctor1}{attributesName} +\usesdollar{compDefineFunctor1}{byteAddress} +\usesdollar{compDefineFunctor1}{byteVec} +\usesdollar{compDefineFunctor1}{compileOnlyCertainItems} +\usesdollar{compDefineFunctor1}{condAlist} +\usesdollar{compDefineFunctor1}{domainShell} +\usesdollar{compDefineFunctor1}{form} +\usesdollar{compDefineFunctor1}{functionLocations} +\usesdollar{compDefineFunctor1}{functionStats} +\usesdollar{compDefineFunctor1}{functorForm} +\usesdollar{compDefineFunctor1}{functorLocalParameters} +\usesdollar{compDefineFunctor1}{functorStats} +\usesdollar{compDefineFunctor1}{functorSpecialCases} +\usesdollar{compDefineFunctor1}{functorTarget} +\usesdollar{compDefineFunctor1}{functorsUsed} +\usesdollar{compDefineFunctor1}{genFVar} +\usesdollar{compDefineFunctor1}{genSDVar} +\usesdollar{compDefineFunctor1}{getDomainCode} +\usesdollar{compDefineFunctor1}{goGetList} +\usesdollar{compDefineFunctor1}{insideCategoryPackageIfTrue} +\usesdollar{compDefineFunctor1}{insideFunctorIfTrue} +\usesdollar{compDefineFunctor1}{isOpPackageName} +\usesdollar{compDefineFunctor1}{libFile} +\usesdollar{compDefineFunctor1}{lisplibAbbreviation} +\usesdollar{compDefineFunctor1}{lisplibAncestors} +\usesdollar{compDefineFunctor1}{lisplibCategoriesExtended} +\usesdollar{compDefineFunctor1}{lisplibCategory} +\usesdollar{compDefineFunctor1}{lisplibForm} +\usesdollar{compDefineFunctor1}{lisplibKind} +\usesdollar{compDefineFunctor1}{lisplibMissingFunctions} +\usesdollar{compDefineFunctor1}{lisplibModemap} +\usesdollar{compDefineFunctor1}{lisplibOperationAlist} +\usesdollar{compDefineFunctor1}{lisplibParents} +\usesdollar{compDefineFunctor1}{lisplibSlot1} +\usesdollar{compDefineFunctor1}{lookupFunction} +\usesdollar{compDefineFunctor1}{myFunctorBody} +\usesdollar{compDefineFunctor1}{mutableDomain} +\usesdollar{compDefineFunctor1}{mutableDomains} +\usesdollar{compDefineFunctor1}{op} +\usesdollar{compDefineFunctor1}{pairlis} +\usesdollar{compDefineFunctor1}{QuickCode} +\usesdollar{compDefineFunctor1}{setelt} +\usesdollar{compDefineFunctor1}{signature} +\usesdollar{compDefineFunctor1}{template} +\usesdollar{compDefineFunctor1}{uncondAlist} +\usesdollar{compDefineFunctor1}{viewNames} +\usesdollar{compDefineFunctor1}{lisplibFunctionLocations} +\begin{chunk}{defun compDefineFunctor1} +(defun |compDefineFunctor1| (df mode |$e| |$prefix| |$formalArgList|) + (declare (special |$e| |$prefix| |$formalArgList|)) + (labels ( + (FindRep (cb) + (loop while cb do + (when (atom cb) (return nil)) + (when (and (consp cb) (consp (qfirst cb)) (eq (qcaar cb) 'let) + (consp (qcdar cb)) (eq (qcadar cb) '|Rep|) + (consp (qcddar cb))) + (return (caddar cb))) + (pop cb)))) + (let (|$addForm| |$viewNames| |$functionStats| |$functorStats| + |$form| |$op| |$signature| |$functorTarget| + |$Representation| |$LocalDomainAlist| |$functorForm| + |$functorLocalParameters| |$CheckVectorList| + |$getDomainCode| |$insideFunctorIfTrue| |$functorsUsed| + |$setelt| $TOP_LEVEL |$genFVar| |$genSDVar| + |$mutableDomain| |$attributesName| |$goGetList| + |$condAlist| |$uncondAlist| |$NRTslot1PredicateList| + |$NRTattributeAlist| |$NRTslot1Info| |$NRTbase| + |$NRTaddForm| |$NRTdeltaList| |$NRTdeltaListComp| + |$NRTaddList| |$NRTdeltaLength| |$NRTloadTimeAlist| + |$NRTdomainFormList| |$template| |$functionLocations| + |$isOpPackageName| |$lookupFunction| |$byteAddress| + |$byteVec| form signature body originale argl signaturep target ds + attributeList parSignature parForm + argPars opp rettype tt bodyp lamOrSlam fun + operationAlist modemap libFn tmp1) + (declare (special $lisplib $top_level |$bootStrapMode| |$CategoryFrame| + |$CheckVectorList| |$FormalMapVariableList| + |$LocalDomainAlist| |$NRTaddForm| |$NRTaddList| + |$NRTattributeAlist| |$NRTbase| |$NRTdeltaLength| + |$NRTdeltaListComp| |$NRTdeltaList| |$NRTdomainFormList| + |$NRTloadTimeAlist| |$NRTslot1Info| |$NRTslot1PredicateList| + |$Representation| |$addForm| |$attributesName| + |$byteAddress| |$byteVec| |$compileOnlyCertainItems| + |$condAlist| |$domainShell| |$form| |$functionLocations| + |$functionStats| |$functorForm| |$functorLocalParameters| + |$functorStats| |$functorSpecialCases| |$functorTarget| + |$functorsUsed| |$genFVar| |$genSDVar| |$getDomainCode| + |$goGetList| |$insideCategoryPackageIfTrue| + |$insideFunctorIfTrue| |$isOpPackageName| |$libFile| + |$lisplibAbbreviation| |$lisplibAncestors| + |$lisplibCategoriesExtended| |$lisplibCategory| + |$lisplibForm| |$lisplibKind| |$lisplibMissingFunctions| + |$lisplibModemap| |$lisplibOperationAlist| |$lisplibParents| + |$lisplibSlot1| |$lookupFunction| |$myFunctorBody| + |$mutableDomain| |$mutableDomains| |$op| |$pairlis| + |$QuickCode| |$setelt| |$signature| |$template| + |$uncondAlist| |$viewNames| |$lisplibFunctionLocations|)) + (setq form (second df)) + (setq signature (third df)) + (setq |$functorSpecialCases| (fourth df)) + (setq body (fifth df)) + (setq |$addForm| nil) + (setq |$viewNames| nil) + (setq |$functionStats| (list 0 0)) + (setq |$functorStats| (list 0 0)) + (setq |$form| nil) + (setq |$op| nil) + (setq |$signature| nil) + (setq |$functorTarget| nil) + (setq |$Representation| nil) + (setq |$LocalDomainAlist| nil) + (setq |$functorForm| nil) + (setq |$functorLocalParameters| nil) + (setq |$myFunctorBody| body) + (setq |$CheckVectorList| nil) + (setq |$getDomainCode| nil) + (setq |$insideFunctorIfTrue| t) + (setq |$functorsUsed| nil) + (setq |$setelt| (if |$QuickCode| 'qsetrefv 'setelt)) + (setq $top_level nil) + (setq |$genFVar| 0) + (setq |$genSDVar| 0) + (setq originale |$e|) + (setq |$op| (first form)) + (setq argl (rest form)) + (setq |$formalArgList| (append argl |$formalArgList|)) + (setq |$pairlis| + (loop for a in argl for v in |$FormalMapVariableList| + collect (cons a v))) + (setq |$mutableDomain| + (OR (|isCategoryPackageName| |$op|) + (COND + ((boundp '|$mutableDomains|) + (member |$op| |$mutableDomains|)) + ('T NIL)))) + (setq signaturep + (cons (car signature) + (loop for a in argl collect (|getArgumentModeOrMoan| a form |$e|)))) + (setq |$form| (cons |$op| argl)) + (setq |$functorForm| |$form|) + (unless (car signaturep) + (setq signaturep (cdar (|getModemap| |$form| |$e|)))) + (setq target (first signaturep)) + (setq |$functorTarget| target) + (setq |$e| (|giveFormalParametersValues| argl |$e|)) + (setq tmp1 (|compMakeCategoryObject| target |$e|)) + (if tmp1 + (progn + (setq ds (first tmp1)) + (setq |$e| (third tmp1)) + (setq |$domainShell| (copy-seq ds)) + (setq |$attributesName| (intern (strconc (pname |$op|) ";attributes"))) + (setq attributeList (|disallowNilAttribute| (elt ds 2))) + (setq |$goGetList| nil) + (setq |$condAlist| nil) + (setq |$uncondAlist| nil) + (setq |$NRTslot1PredicateList| + (remdup (loop for x in attributeList collect (second x)))) + (setq |$NRTattributeAlist| (|NRTgenInitialAttributeAlist| attributeList)) + (setq |$NRTslot1Info| nil) + (setq |$NRTbase| 6) + (setq |$NRTaddForm| nil) + (setq |$NRTdeltaList| nil) + (setq |$NRTdeltaListComp| nil) + (setq |$NRTaddList| nil) + (setq |$NRTdeltaLength| 0) + (setq |$NRTloadTimeAlist| nil) + (setq |$NRTdomainFormList| nil) + (setq |$template| nil) + (setq |$functionLocations| nil) + (loop for x in argl do (|NRTgetLocalIndex| x)) + (setq |$e| + (third (|compMakeDeclaration| (list '|:| '$ target) mode |$e|))) + (unless |$insideCategoryPackageIfTrue| + (if + (and (consp body) (eq (qfirst body) '|add|) + (consp (qrest body)) + (consp (qsecond body)) + (consp (qcddr body)) + (eq (qcdddr body) nil) + (consp (qthird body)) + (eq (qcaaddr body) 'capsule) + (member (qcaadr body) '(|List| |Vector|)) + (equal (FindRep (qcdaddr body)) (second body))) + (setq |$e| (|augModemapsFromCategoryRep| '$ + (second body) (cdaddr body) target |$e|)) + (setq |$e| (|augModemapsFromCategory| '$ '$ target |$e|)))) + (setq |$signature| signaturep) + (setq operationAlist (sublis |$pairlis| (elt |$domainShell| 1))) + (setq parSignature (sublis |$pairlis| signaturep)) + (setq parForm (sublis |$pairlis| form)) + (setq argPars (|makeFunctorArgumentParameters| argl + (cdr signaturep) (car signaturep))) + (setq |$functorLocalParameters| argl) + (setq opp |$op|) + (setq rettype (CAR signaturep)) + (setq tt (|compFunctorBody| body rettype |$e| parForm)) + (cond + (|$compileOnlyCertainItems| + (|reportOnFunctorCompilation|) + (list nil (cons '|Mapping| signaturep) originale)) + (t + (setq bodyp (first tt)) + (setq lamOrSlam (if |$mutableDomain| 'lam 'spadslam)) + (setq fun + (|compile| (sublis |$pairlis| (list opp (list lamOrSlam argl bodyp))))) + (setq operationAlist (sublis |$pairlis| |$lisplibOperationAlist|)) + (cond + ($lisplib + (|augmentLisplibModemapsFromFunctor| parForm + operationAlist parSignature))) + (|reportOnFunctorCompilation|) + (cond + ($lisplib + (setq modemap (list (cons parForm parSignature) (list t opp))) + (setq |$lisplibModemap| modemap) + (setq |$lisplibCategory| (cadar modemap)) + (setq |$lisplibParents| + (|getParentsFor| |$op| |$FormalMapVariableList| |$lisplibCategory|)) + (setq |$lisplibAncestors| (|computeAncestorsOf| |$form| NIL)) + (setq |$lisplibAbbreviation| (|constructor?| |$op|)))) + (setq |$insideFunctorIfTrue| NIL) + (cond + ($lisplib + (setq |$lisplibKind| + (if (and (consp |$functorTarget|) + (eq (qfirst |$functorTarget|) 'category) + (consp (qrest |$functorTarget|)) + (nequal (qsecond |$functorTarget|) '|domain|)) + '|package| + '|domain|)) + (setq |$lisplibForm| form) + (cond + ((null |$bootStrapMode|) + (setq |$NRTslot1Info| (|NRTmakeSlot1Info|)) + (setq |$isOpPackageName| (|isCategoryPackageName| |$op|)) + (when |$isOpPackageName| + (|lisplibWrite| "slot1DataBase" + (list '|updateSlot1DataBase| (mkq |$NRTslot1Info|)) + |$libFile|)) + (setq |$lisplibFunctionLocations| + (sublis |$pairlis| |$functionLocations|)) + (setq |$lisplibCategoriesExtended| + (sublis |$pairlis| |$lisplibCategoriesExtended|)) + (setq libFn (getdatabase opp 'abbreviation)) + (setq |$lookupFunction| + (|NRTgetLookupFunction| |$functorForm| + (cadar |$lisplibModemap|) |$NRTaddForm|)) + (setq |$byteAddress| 0) + (setq |$byteVec| NIL) + (setq |$NRTslot1PredicateList| + (loop for x in |$NRTslot1PredicateList| + collect (|simpBool| x))) + (|rwriteLispForm| '|loadTimeStuff| + `(setf (get ,(mkq |$op|) '|infovec|) ,(|getInfovecCode|))))) + (setq |$lisplibSlot1| |$NRTslot1Info|) + (setq |$lisplibOperationAlist| operationAlist) + (setq |$lisplibMissingFunctions| |$CheckVectorList|))) + (|lisplibWrite| "compilerInfo" + (|removeZeroOne| + (list 'setq '|$CategoryFrame| + (list '|put| (list 'quote opp) ''|isFunctor| + (list 'quote operationAlist) + (list '|addModemap| + (list 'quote opp) + (list 'quote parForm) + (list 'quote parSignature) + t + (list 'quote opp) + (list '|put| (list 'quote opp) ''|mode| + (list 'quote (cons '|Mapping| parSignature)) + '|$CategoryFrame|))))) + |$libFile|) + (unless argl + (|evalAndRwriteLispForm| 'niladic + `(setf (get ',opp 'niladic) t))) + (list fun (cons '|Mapping| signaturep) originale)))) + (progn + (|sayBrightly| " cannot produce category object:") + (|pp| target) + nil))))) \end{chunk} -\defplist{Join}{compJoin} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Join| 'special) '|compJoin|)) +\defun{isCategoryPackageName}{isCategoryPackageName} +\calls{isCategoryPackageName}{pname} +\calls{isCategoryPackageName}{maxindex} +\calls{isCategoryPackageName}{char} +\begin{chunk}{defun isCategoryPackageName} +(defun |isCategoryPackageName| (nam) + (let (p) + (setq p (pname (|opOf| nam))) + (equal (elt p (maxindex p)) (|char| '&)))) \end{chunk} -\defun{compJoin}{compJoin} -\calls{compJoin}{nreverse0} -\calls{compJoin}{compForMode} -\calls{compJoin}{stackSemanticError} -\calls{compJoin}{nreverse0} -\calls{compJoin}{isCategoryForm} -\calls{compJoin}{union} -\calls{compJoin}{compJoin,getParms} -\calls{compJoin}{pairp} -\calls{compJoin}{qcar} -\calls{compJoin}{qcdr} -\calls{compJoin}{wrapDomainSub} -\calls{compJoin}{convert} -\usesdollar{compJoin}{Category} -\begin{chunk}{defun compJoin} -(defun |compJoin| (arg m e) +\defun{NRTgetLookupFunction}{NRTgetLookupFunction} +Compute the lookup function (complete or incomplete) +\calls{NRTgetLookupFunction}{sublis} +\calls{NRTgetLookupFunction}{NRTextendsCategory1} +\calls{NRTgetLookupFunction}{getExportCategory} +\calls{NRTgetLookupFunction}{sayBrightly} +\calls{NRTgetLookupFunction}{sayBrightlyNT} +\calls{NRTgetLookupFunction}{bright} +\calls{NRTgetLookupFunction}{form2String} +\defsdollar{NRTgetLookupFunction}{why} +\refsdollar{NRTgetLookupFunction}{why} +\refsdollar{NRTgetLookupFunction}{pairlis} +\begin{chunk}{defun NRTgetLookupFunction} +(defun |NRTgetLookupFunction| (domform exCategory addForm) + (let (|$why| extends u msg v) + (declare (special |$why| |$pairlis|)) + (setq domform (sublis |$pairlis| domform)) + (setq addForm (sublis |$pairlis| addForm)) + (setq |$why| nil) + (cond + ((atom addForm) '|lookupComplete|) + (t + (setq extends + (|NRTextendsCategory1| domform exCategory (|getExportCategory| addForm))) + (cond + ((null extends) + (setq u (car |$why|)) + (setq msg (cadr |$why|)) + (setq v (cddr |$why|)) + (|sayBrightly| + "--------------non extending category----------------------") + (|sayBrightlyNT| + (cons ".." + (append (|bright| (|form2String| domform)) (list '|of cat |)))) + (print u) + (|sayBrightlyNT| (|bright| msg)) + (if v (print (car v)) (terpri)))) + (if extends + '|lookupIncomplete| + '|lookupComplete|))))) + +\end{chunk} + +\defun{NRTgetLocalIndex}{NRTgetLocalIndex} +\calls{NRTgetLocalIndex}{NRTassocIndex} +\calls{NRTgetLocalIndex}{NRTaddInner} +\calls{NRTgetLocalIndex}{compOrCroak} +\calls{NRTgetLocalIndex}{rplaca} +\refsdollar{NRTgetLocalIndex}{NRTaddForm} +\refsdollar{NRTgetLocalIndex}{formalArgList} +\refsdollar{NRTgetLocalIndex}{NRTdeltaList} +\refsdollar{NRTgetLocalIndex}{NRTdeltaListComp} +\refsdollar{NRTgetLocalIndex}{NRTdeltaLength} +\defsdollar{NRTgetLocalIndex}{NRTbase} +\defsdollar{NRTgetLocalIndex}{EmptyMode} +\defsdollar{NRTgetLocalIndex}{e} +\begin{chunk}{defun NRTgetLocalIndex} +(defun |NRTgetLocalIndex| (item) + (let (k value saveNRTdeltaListComp saveIndex compEntry) + (declare (special |$e| |$EmptyMode| |$NRTdeltaLength| |$NRTbase| + |$NRTdeltaListComp| |$NRTdeltaList| |$formalArgList| + |$NRTaddForm|)) + (cond + ((setq k (|NRTassocIndex| item)) k) + ((equal item |$NRTaddForm|) 5) + ((eq item '$) 0) + ((eq item '$$) 2) + (t + (when (member item |$formalArgList|) (setq value item)) + (cond + ((and (atom item) (null (member item '($ $$))) (null value)) + (setq |$NRTdeltaList| + (cons (cons '|domain| (cons (|NRTaddInner| item) value)) + |$NRTdeltaList|)) + (setq |$NRTdeltaListComp| (cons item |$NRTdeltaListComp|)) + (setq |$NRTdeltaLength| (1+ |$NRTdeltaLength|)) + (1- (+ |$NRTbase| |$NRTdeltaLength|))) + (t + (setq |$NRTdeltaList| + (cons (cons '|domain| (cons (|NRTaddInner| item) value)) + |$NRTdeltaList|)) + (setq saveNRTdeltaListComp + (setq |$NRTdeltaListComp| (cons nil |$NRTdeltaListComp|))) + (setq saveIndex (+ |$NRTbase| |$NRTdeltaLength|)) + (setq |$NRTdeltaLength| (1+ |$NRTdeltaLength|)) + (setq compEntry (car (|compOrCroak| item |$EmptyMode| |$e|))) + (rplaca saveNRTdeltaListComp compEntry) + saveIndex)))))) + +\end{chunk} + +\defun{augmentLisplibModemapsFromFunctor}{augmentLisplibModemapsFromFunctor} +\calls{augmentLisplibModemapsFromFunctor}{formal2Pattern} +\calls{augmentLisplibModemapsFromFunctor}{mkAlistOfExplicitCategoryOps} +\calls{augmentLisplibModemapsFromFunctor}{allLASSOCs} +\calls{augmentLisplibModemapsFromFunctor}{member} +\calls{augmentLisplibModemapsFromFunctor}{msubst} +\calls{augmentLisplibModemapsFromFunctor}{mkDatabasePred} +\calls{augmentLisplibModemapsFromFunctor}{mkpf} +\calls{augmentLisplibModemapsFromFunctor}{listOfPatternIds} +\calls{augmentLisplibModemapsFromFunctor}{interactiveModemapForm} +\refsdollar{augmentLisplibModemapsFromFunctor}{lisplibModemapAlist} +\refsdollar{augmentLisplibModemapsFromFunctor}{PatternVariableList} +\refsdollar{augmentLisplibModemapsFromFunctor}{e} +\defsdollar{augmentLisplibModemapsFromFunctor}{lisplibModemapAlist} +\defsdollar{augmentLisplibModemapsFromFunctor}{e} +\begin{chunk}{defun augmentLisplibModemapsFromFunctor} +(defun |augmentLisplibModemapsFromFunctor| (form opAlist signature) + (let (argl nonCategorySigAlist op pred sel predList sig predp z skip modemap) + (declare (special |$lisplibModemapAlist| |$PatternVariableList| |$e|)) + (setq form (|formal2Pattern| form)) + (setq argl (cdr form)) + (setq opAlist (|formal2Pattern| opAlist)) + (setq signature (|formal2Pattern| signature)) + ; We are going to be EVALing categories containing these pattern variables + (loop for u in form for v in signature + do (when (member u |$PatternVariableList|) + (setq |$e| (|put| u '|mode| v |$e|)))) + (when + (setq nonCategorySigAlist (|mkAlistOfExplicitCategoryOps| (CAR signature))) + (loop for entry in opAlist + do + (setq op (caar entry)) + (setq sig (cadar entry)) + (setq pred (cadr entry)) + (setq sel (caddr entry)) + (when + (let (result) + (loop for catSig in (|allLASSOCs| op nonCategorySigAlist) + do (setq result (or result (|member| sig catSig)))) + result) + (setq skip (when (and argl (contained '$ (cdr sig))) 'skip)) + (setq sel (msubst form '$ sel)) + (setq predList + (loop for a in argl for m in (rest signature) + when (|member| a |$PatternVariableList|) + collect (list a m))) + (setq sig (msubst form '$ sig)) + (setq predp + (mkpf + (cons pred (loop for y in predList collect (|mkDatabasePred| y))) + 'and)) + (setq z (|listOfPatternIds| predList)) + (when (some #'(lambda (u) (null (member u z))) argl) + (|sayMSG| (list "cannot handle modemap for " op "by pattern match")) + (setq skip 'skip)) + (setq modemap (list (cons form sig) (cons predp (cons sel skip)))) + (setq |$lisplibModemapAlist| + (cons + (cons op (|interactiveModemapForm| modemap)) + |$lisplibModemapAlist|)))))))) + +\end{chunk} + +\defun{allLASSOCs}{allLASSOCs} +\begin{chunk}{defun allLASSOCs} +(defun |allLASSOCs| (op alist) + (loop for value in alist + when (equal (car value) op) + collect value)) + +\end{chunk} + +\defun{formal2Pattern}{formal2Pattern} +\calls{formal2Pattern}{sublis} +\calls{formal2Pattern}{pairList} +\refsdollar{formal2Pattern}{PatternVariableList} +\begin{chunk}{defun formal2Pattern} +(defun |formal2Pattern| (x) + (declare (special |$PatternVariableList|)) + (sublis (|pairList| |$FormalMapVariableList| (cdr |$PatternVariableList|)) x)) + +\end{chunk} + +\defun{mkDatabasePred}{mkDatabasePred} +\calls{mkDatabasePred}{isCategoryForm} +\refsdollar{mkDatabasePred}{e} +\begin{chunk}{defun mkDatabasePred} +(defun |mkDatabasePred| (arg) + (let (a z) + (declare (special |$e|)) + (setq a (car arg)) + (setq z (cadr arg)) + (if (|isCategoryForm| z |$e|) + (list '|ofCategory| a z) + (list '|ofType| a z)))) + +\end{chunk} + +\defun{disallowNilAttribute}{disallowNilAttribute} +\begin{chunk}{defun disallowNilAttribute} +(defun |disallowNilAttribute| (x) + (loop for y in x when (and (car y) (nequal (car y) '|nil|)) + collect y)) + +\end{chunk} + +\defun{compFunctorBody}{compFunctorBody} +\calls{compFunctorBody}{bootStrapError} +\calls{compFunctorBody}{compOrCroak} +\uses{compFunctorBody}{/editfile} +\usesdollar{compFunctorBody}{NRTaddForm} +\usesdollar{compFunctorBody}{functorForm} +\usesdollar{compFunctorBody}{bootStrapMode} +\begin{chunk}{defun compFunctorBody} +(defun |compFunctorBody| (form mode env parForm) + (declare (ignore parForm)) + (let (tt) + (declare (special |$NRTaddForm| |$functorForm| |$bootStrapMode| /editfile)) + (if |$bootStrapMode| + (list (|bootStrapError| |$functorForm| /editfile) mode env) + (progn + (setq tt (|compOrCroak| form mode env)) + (if (and (consp form) (member (qfirst form) '(|add| capsule))) + tt + (progn + (setq |$NRTaddForm| + (if (and (consp form) (eq (qfirst form) '|SubDomain|) + (consp (qrest form)) (consp (qcddr form)) + (eq (qcdddr form) nil)) + (qsecond form) + form)) + tt)))))) + +\end{chunk} + +\defun{bootStrapError}{bootStrapError} +\calls{bootStrapError}{mkq} +\calls{bootStrapError}{namestring} +\calls{bootStrapError}{mkDomainConstructor} +\begin{chunk}{defun bootStrapError} +(defun |bootStrapError| (functorForm sourceFile) + (list 'cond + (list '|$bootStrapMode| + (list 'vector (|mkDomainConstructor| functorForm) nil nil nil nil nil)) + (list ''t + (list '|systemError| + (list 'list ''|%b| (MKQ (CAR functorForm)) ''|%d| "from" ''|%b| + (mkq (|namestring| sourceFile)) ''|%d| "needs to be compiled"))))) + +\end{chunk} + +\defun{reportOnFunctorCompilation}{reportOnFunctorCompilation} +\calls{reportOnFunctorCompilation}{displayMissingFunctions} +\calls{reportOnFunctorCompilation}{sayBrightly} +\calls{reportOnFunctorCompilation}{displaySemanticErrors} +\calls{reportOnFunctorCompilation}{displayWarnings} +\calls{reportOnFunctorCompilation}{addStats} +\calls{reportOnFunctorCompilation}{normalizeStatAndStringify} +\usesdollar{reportOnFunctorCompilation}{op} +\usesdollar{reportOnFunctorCompilation}{functorStats} +\usesdollar{reportOnFunctorCompilation}{functionStats} +\usesdollar{reportOnFunctorCompilation}{warningStack} +\usesdollar{reportOnFunctorCompilation}{semanticErrorStack} +\begin{chunk}{defun reportOnFunctorCompilation} +(defun |reportOnFunctorCompilation| () + (declare (special |$op| |$functorStats| |$functionStats| + |$warningStack| |$semanticErrorStack|)) + (|displayMissingFunctions|) + (when |$semanticErrorStack| (|sayBrightly| " ")) + (|displaySemanticErrors|) + (when |$warningStack| (|sayBrightly| " ")) + (|displayWarnings|) + (setq |$functorStats| (|addStats| |$functorStats| |$functionStats|)) + (|sayBrightly| + (cons '|%l| + (append (|bright| " Cumulative Statistics for Constructor") + (list |$op|)))) + (|sayBrightly| + (cons " Time:" + (append (|bright| (|normalizeStatAndStringify| (second |$functorStats|))) + (list "seconds")))) + (|sayBrightly| " ") + '|done|) + +\end{chunk} + +\defun{displayMissingFunctions}{displayMissingFunctions} +\calls{displayMissingFunctions}{member} +\calls{displayMissingFunctions}{getmode} +\calls{displayMissingFunctions}{sayBrightly} +\calls{displayMissingFunctions}{bright} +\calls{displayMissingFunctions}{formatUnabbreviatedSig} +\usesdollar{displayMissingFunctions}{env} +\usesdollar{displayMissingFunctions}{formalArgList} +\usesdollar{displayMissingFunctions}{CheckVectorList} +\begin{chunk}{defun displayMissingFunctions} +(defun |displayMissingFunctions| () + (let (i loc exp) + (declare (special |$env| |$formalArgList| |$CheckVectorList|)) + (unless |$CheckVectorList| + (setq loc nil) + (setq exp nil) + (loop for cvl in |$CheckVectorList| do + (unless (cdr cvl) + (if (and (null (|member| (caar cvl) |$formalArgList|)) + (consp (|getmode| (caar cvl) |$env|)) + (eq (qfirst (|getmode| (caar cvl) |$env|)) '|Mapping|)) + (push (list (caar cvl) (cadar cvl)) loc) + (push (list (caar cvl) (cadar cvl)) exp)))) + (when loc + (|sayBrightly| (cons '|%l| (|bright| " Missing Local Functions:"))) + (setq i 0) + (loop for item in loc do + (|sayBrightly| + (cons " [" (cons (incf i) (cons "]" + (append (|bright| (first item)) + (cons '|: | (|formatUnabbreviatedSig| (second item)))))))))) + (when exp + (|sayBrightly| (cons '|%l| (|bright| " Missing Exported Functions:"))) + (setq i 0) + (loop for item in exp do + (|sayBrightly| + (cons " [" (cons (incf i) (cons "]" + (append (|bright| (first item)) + (cons '|: | (|formatUnabbreviatedSig| (second item))))))))))))) + +\end{chunk} + +\defun{makeFunctorArgumentParameters}{makeFunctorArgumentParameters} +\calls{makeFunctorArgumentParameters}{assq} +\calls{makeFunctorArgumentParameters}{msubst} +\calls{makeFunctorArgumentParameters}{isCategoryForm} +\calls{makeFunctorArgumentParameters}{qcar} +\calls{makeFunctorArgumentParameters}{qcdr} +\calls{makeFunctorArgumentParameters}{genDomainViewList0} +\calls{makeFunctorArgumentParameters}{union} +\usesdollar{makeFunctorArgumentParameters}{ConditionalOperators} +\usesdollar{makeFunctorArgumentParameters}{alternateViewList} +\usesdollar{makeFunctorArgumentParameters}{forceAdd} +\begin{chunk}{defun makeFunctorArgumentParameters} +(defun |makeFunctorArgumentParameters| (argl sigl target) (labels ( - (getParms (y e) + (augmentSig (s ss) + (let (u) + (declare (special |$ConditionalOperators|)) + (if ss + (progn + (loop for u in ss do (push (rest u) |$ConditionalOperators|)) + (if (and (consp s) (eq (qfirst s) '|Join|)) + (progn + (if (setq u (assq 'category ss)) + (msubst (append u ss) u s) + (cons '|Join| + (append (rest s) (list (cons 'category (cons '|package| ss))))))) + (list '|Join| s (cons 'category (cons '|package| ss))))) + s))) + (fn (a s) + (declare (special |$CategoryFrame|)) + (if (|isCategoryForm| s |$CategoryFrame|) + (if (and (consp s) (eq (qfirst s) '|Join|)) + (|genDomainViewList0| a (rest s)) + (list (|genDomainView| a s '|getDomainView|))) + (list a))) + (findExtras (a target) (cond - ((atom y) - (when (|isDomainForm| y e) (list y))) - ((and (pairp y) (eq (qcar y) 'length) - (pairp (qcdr y)) (eq (qcdr (qcdr y)) nil)) - (list y (second y))) - (t (list y)))) ) - (let (argl catList pl tmp3 tmp4 tmp5 body parameters catListp td) - (declare (special |$Category|)) - (setq argl (cdr arg)) - (setq catList - (dolist (x argl (nreverse0 tmp3)) - (push (car (or (|compForMode| x |$Category| e) (return '|failed|))) - tmp3))) + ((and (consp target) (eq (qfirst target) '|Join|)) + (reduce #'|union| + (loop for x in (qrest target) + collect (findExtras a x)))) + ((and (consp target) (eq (qfirst target) 'category)) + (reduce #'|union| + (loop for x in (qcddr target) + collect (findExtras1 a x)))))) + (findExtras1 (a x) + (cond + ((and (consp x) (or (eq (qfirst x) 'and)) (eq (qfirst x) 'or)) + (reduce #'|union| + (loop for y in (rest x) collect (findExtras1 a y)))) + ((and (consp x) (eq (qfirst x) 'if) + (consp (qrest x)) (consp (qcddr x)) + (consp (qcdddr x)) + (eq (qcddddr x) nil)) + (|union| (findExtrasP a (second x)) + (|union| + (findExtras1 a (third x)) + (findExtras1 a (fourth x))))))) + (findExtrasP (a x) + (cond + ((and (consp x) (or (eq (qfirst x) 'and)) (eq (qfirst x) 'or)) + (reduce #'|union| + (loop for y in (rest x) collect (findExtrasP a y)))) + ((and (consp x) (eq (qfirst x) '|has|) + (consp (qrest x)) (consp (qcddr x)) + (consp (qcdddr x)) + (eq (qcddddr x) nil)) + (|union| (findExtrasP a (second x)) + (|union| + (findExtras1 a (third x)) + (findExtras1 a (fourth x))))) + ((and (consp x) (eq (qfirst x) '|has|) + (consp (qrest x)) (equal (qsecond x) a) + (consp (qcddr x)) + (eq (qcdddr x) nil) + (consp (qthird x)) + (eq (qcaaddr x) 'signature)) + (list (third x))))) + + ) + (let (|$alternateViewList| |$forceAdd| |$ConditionalOperators|) + (declare (special |$alternateViewList| |$forceAdd| |$ConditionalOperators|)) + (setq |$alternateViewList| nil) + (setq |$forceAdd| t) + (setq |$ConditionalOperators| nil) + (mapcar #'reduce + (loop for a in argl for s in sigl do + (fn a (augmentSig s (findExtras a target)))))))) + +\end{chunk} + +\defun{genDomainViewList0}{genDomainViewList0} +\calls{genDomainViewList0}{getDomainViewList} +\begin{chunk}{defun genDomainViewList0} +(defun |genDomainViewList0| (id catlist) + (|genDomainViewList| id catlist t)) + +\end{chunk} + +\defun{genDomainViewList}{genDomainViewList} +\calls{genDomainViewList}{qcdr} +\calls{genDomainViewList}{isCategoryForm} +\calls{genDomainViewList}{genDomainView} +\calls{genDomainViewList}{genDomainViewList} +\usesdollar{genDomainViewList}{EmptyEnvironment} +\begin{chunk}{defun genDomainViewList} +(defun |genDomainViewList| (id catlist firsttime) + (declare (special |$EmptyEnvironment|) (ignore firsttime)) (cond - ((eq catList '|failed|) - (|stackSemanticError| (list '|cannot form Join of: | argl) nil)) + ((null catlist) nil) + ((and (consp catlist) (eq (qrest catlist) nil) + (null (|isCategoryForm| (first catlist) |$EmptyEnvironment|))) + nil) (t - (setq catListp - (dolist (x catList (nreverse0 tmp4)) - (setq tmp4 - (cons - (cond - ((|isCategoryForm| x e) - (setq parameters - (|union| - (dolist (y (cdr x) tmp5) - (setq tmp5 (append tmp5 (getParms y e)))) - parameters)) - x) - ((and (pairp x) (eq (qcar x) '|DomainSubstitutionMacro|) - (pairp (qcdr x)) (pairp (qcdr (qcdr x))) - (eq (qcdr (qcdr (qcdr x))) nil)) - (setq pl (second x)) - (setq body (third x)) - (setq parameters (|union| pl parameters)) body) - ((and (pairp x) (eq (qcar x) '|mkCategory|)) - x) - ((and (atom x) (equal (|getmode| x e) |$Category|)) - x) - (t - (|stackSemanticError| (list '|invalid argument to Join: | x) nil) - x)) - tmp4)))) - (setq td (list (|wrapDomainSub| parameters (cons '|Join| catListp)) - |$Category| e)) - (|convert| td m)))))) + (cons + (|genDomainView| id (first catlist) '|getDomainView|) + (|genDomainViewList| id (rest catlist) nil))))) \end{chunk} -\defplist{$+->$}{compLambda} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|+->| 'special) '|compLambda|)) +\defun{genDomainView}{genDomainView} +\calls{genDomainView}{genDomainOps} +\calls{genDomainView}{qcar} +\calls{genDomainView}{qcdr} +\calls{genDomainView}{augModemapsFromCategory} +\calls{genDomainView}{mkDomainConstructor} +\calls{genDomainView}{member} +\usesdollar{genDomainView}{e} +\usesdollar{genDomainView}{getDomainCode} +\begin{chunk}{defun genDomainView} +(defun |genDomainView| (name c viewSelector) + (let (code cd) + (declare (special |$getDomainCode| |$e|)) + (cond + ((and (consp c) (eq (qfirst c) 'category) (consp (qrest c))) + (|genDomainOps| name name c)) + (t + (setq code + (if (and (consp c) (eq (qfirst c) '|SubsetCategory|) + (consp (qrest c)) (consp (qcddr c)) + (eq (qcdddr c) nil)) + (second c) + c)) + (setq |$e| (|augModemapsFromCategory| name nil c |$e|)) + (setq cd + (list 'let name (list viewSelector name (|mkDomainConstructor| code)))) + (unless (|member| cd |$getDomainCode|) + (setq |$getDomainCode| (cons cd |$getDomainCode|))) + name)))) \end{chunk} -\defun{compLambda}{compLambda} -\calls{compLambda}{qcar} -\calls{compLambda}{qcdr} -\calls{compLambda}{argsToSig} -\calls{compLambda}{compAtSign} -\calls{compLambda}{stackAndThrow} -\begin{chunk}{defun compLambda} -(defun |compLambda| (x m e) - (let (vl body tmp1 tmp2 tmp3 target args arg1 sig1 ress) - (setq vl (second x)) - (setq body (third x)) +\defun{genDomainOps}{genDomainOps} +\calls{genDomainOps}{getOperationAlist} +\calls{genDomainOps}{substNames} +\calls{genDomainOps}{mkq} +\calls{genDomainOps}{mkDomainConstructor} +\calls{genDomainOps}{addModemap} +\usesdollar{genDomainOps}{e} +\usesdollar{genDomainOps}{ConditionalOperators} +\usesdollar{genDomainOps}{getDomainCode} +\begin{chunk}{defun genDomainOps} +(defun |genDomainOps| (viewName dom cat) + (let (siglist oplist cd i) + (declare (special |$e| |$ConditionalOperators| |$getDomainCode|)) + (setq oplist (|getOperationAlist| dom dom cat)) + (setq siglist (loop for lst in oplist collect (first lst))) + (setq oplist (|substNames| dom viewName dom oplist)) + (setq cd + (list 'let viewName + (list '|mkOpVec| dom + (cons 'list + (loop for opsig in siglist + collect + (list 'list (mkq (first opsig)) + (cons 'list + (loop for mode in (rest opsig) + collect (|mkDomainConstructor| mode))))))))) + (setq |$getDomainCode| (cons cd |$getDomainCode|)) + (setq i 0) + (loop for item in oplist do + (if (|member| (first item) |$ConditionalOperators|) + (setq |$e| (|addModemap| (caar item) dom (cadar item) nil + (list 'elt viewName (incf i)) |$e|)) + (setq |$e| (|addModemap| (caar item) dom (cadar item) (second item) + (list 'elt viewName (incf i)) |$e|)))) + viewName)) + +\end{chunk} + +\defun{mkOpVec}{mkOpVec} +\calls{mkOpVec}{getPrincipalView} +\calls{mkOpVec}{getOperationAlistFromLisplib} +\calls{mkOpVec}{opOf} +\calls{mkOpVec}{length} +\calls{mkOpVec}{assq} +\calls{mkOpVec}{assoc} +\calls{mkOpVec}{qcar} +\calls{mkOpVec}{qcdr} +\calls{mkOpVec}{sublis} +\calls{mkOpVec}{AssocBarGensym} +\calls{mkOpVec}{msubst} +\usesdollar{mkOpVec}{FormalMapVariableList} +\uses{mkOpVec}{Undef} +\begin{chunk}{defun mkOpVec} +(defun |mkOpVec| (dom siglist) + (let (substargs oplist ops u noplist i tmp1) + (declare (special |$FormalMapVariableList| |Undef|)) + (setq dom (|getPrincipalView| dom)) + (setq substargs + (cons (cons '$ (elt dom 0)) + (loop for a in |$FormalMapVariableList| for x in (rest (elt dom 0)) + collect (cons a x)))) + (setq oplist (|getOperationAlistFromLisplib| (|opOf| (elt dom 0)))) + (setq ops (make-array (|#| siglist))) + (setq i -1) + (loop for opSig in siglist do + (incf i) + (setq u (assq (first opSig) oplist)) + (setq tmp1 (|assoc| (second opSig) u)) + (cond + ((and (consp tmp1) (consp (qrest tmp1)) + (consp (qcddr tmp1)) (consp (qcdddr tmp1)) + (eq (qcddddr tmp1) nil) + (eq (qfourth tmp1) 'elt)) + (setelt ops i (elt dom (second tmp1)))) + (t + (setq noplist (sublis substargs u)) + (setq tmp1 + (|AssocBarGensym| (msubst (elt dom 0) '$ (second opSig)) noplist)) + (cond + ((and (consp tmp1) (consp (qrest tmp1)) (consp (qcddr tmp1)) + (consp (qcdddr tmp1)) + (eq (qcddddr tmp1) nil) + (eq (qfourth tmp1) 'elt)) + (setelt ops i (elt dom (second tmp1)))) + (t + (setelt ops i (cons |Undef| (cons (list (elt dom 0) i) opSig)))))))) + ops)) + +\end{chunk} + +\defun{AssocBarGensym}{AssocBarGensym} +\calls{AssocBarGensym}{EqualBarGensym} +\begin{chunk}{defun AssocBarGensym} +(defun |AssocBarGensym| (key z) + (loop for x in z + do (when (and (consp x) (|EqualBarGensym| key (car x))) (return x)))) + +\end{chunk} + +\defun{compDefWhereClause}{compDefWhereClause} +\calls{compDefWhereClause}{qcar} +\calls{compDefWhereClause}{qcdr} +\calls{compDefWhereClause}{getmode} +\calls{compDefWhereClause}{userError} +\calls{compDefWhereClause}{concat} +\calls{compDefWhereClause}{lassoc} +\calls{compDefWhereClause}{pairList} +\calls{compDefWhereClause}{union} +\calls{compDefWhereClause}{listOfIdentifersIn} +\calls{compDefWhereClause}{delete} +\calls{compDefWhereClause}{orderByDependency} +\calls{compDefWhereClause}{assocleft} +\calls{compDefWhereClause}{assocright} +\calls{compDefWhereClause}{comp} +\usesdollar{compDefWhereClause}{sigAlist} +\usesdollar{compDefWhereClause}{predAlist} +\begin{chunk}{defun compDefWhereClause} +(defun |compDefWhereClause| (arg mode env) + (labels ( + (transformType (x) + (declare (special |$sigAlist|)) + (cond + ((atom x) x) + ((and (consp x) (eq (qfirst x) '|:|) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (setq |$sigAlist| + (cons (cons (second x) (transformType (third x))) + |$sigAlist|)) + x) + ((and (consp x) (eq (qfirst x) '|Record|)) x) + (t + (cons (first x) + (loop for y in (rest x) + collect (transformType y)))))) + (removeSuchthat (x) + (declare (special |$predAlist|)) + (if (and (consp x) (eq (qfirst x) '|\||) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (progn + (setq |$predAlist| (cons (cons (second x) (third x)) |$predAlist|)) + (second x)) + x)) + (fetchType (a x env form) + (if x + x + (or (|getmode| a env) + (|userError| (|concat| + "There is no mode for argument" a "of function" (first form)))))) + (addSuchthat (x y) + (let (p) + (declare (special |$predAlist|)) + (if (setq p (lassoc x |$predAlist|)) (list '|\|| y p) y))) + ) + (let (|$sigAlist| |$predAlist| form signature specialCases body sigList + argList argSigAlist argDepAlist varList whereList formxx signaturex + defform formx) + (declare (special |$sigAlist| |$predAlist|)) +; form is lhs (f a1 ... an) of definition; body is rhs; +; signature is (t0 t1 ... tn) where t0= target type, ti=type of ai, i > 0; +; specialCases is (NIL l1 ... ln) where li is list of special cases +; which can be given for each ti +; +; removes declarative and assignment information from form and +; signature, placing it in list L, replacing form by ("where",form',:L), +; signature by a list of NILs (signifying declarations are in e) + (setq form (second arg)) + (setq signature (third arg)) + (setq specialCases (fourth arg)) + (setq body (fifth arg)) + (setq |$sigAlist| nil) + (setq |$predAlist| nil) +; 1. create sigList= list of all signatures which have embedded +; declarations moved into global variable $sigAlist + (setq sigList + (loop for a in (rest form) for x in (rest signature) + collect (transformType (fetchType a x env form)))) +; 2. replace each argument of the form (|| x p) by x, recording +; the given predicate in global variable $predAlist + (setq argList + (loop for a in (rest form) + collect (removeSuchthat a))) + (setq argSigAlist (append |$sigAlist| (|pairList| argList sigList))) + (setq argDepAlist + (loop for pear in argSigAlist + collect + (cons (car pear) + (|union| (|listOfIdentifiersIn| (cdr pear)) + (|delete| (car pear) + (|listOfIdentifiersIn| (lassoc (car pear) |$predAlist|))))))) +; 3. obtain a list of parameter identifiers (x1 .. xn) ordered so that +; the type of xi is independent of xj if i < j + (setq varList + (|orderByDependency| (assocleft argDepAlist) (assocright argDepAlist))) +; 4. construct a WhereList which declares and/or defines the xi's in +; the order constructed in step 3 + (setq whereList + (loop for x in varList + collect (addSuchthat x (list '|:| x (lassoc x argSigAlist))))) + (setq formxx (cons (car form) argList)) + (setq signaturex + (cons (car signature) + (loop for x in (rest signature) collect nil))) + (setq defform (list 'def formxx signaturex specialCases body)) + (setq formx (cons '|where| (cons defform whereList))) +; 5. compile new ('DEF,("where",form',:WhereList),:.) where +; all argument parameters of form' are bound/declared in WhereList + (|comp| formx mode env)))) + +\end{chunk} + +\defun{orderByDependency}{orderByDependency} +\calls{orderByDependency}{say} +\calls{orderByDependency}{userError} +\calls{orderByDependency}{intersection} +\calls{orderByDependency}{member} +\calls{orderByDependency}{remdup} +\begin{chunk}{defun orderByDependency} +(defun |orderByDependency| (vl dl) + (let (selfDependents fatalError newl orderedVarList vlp dlp) + (setq selfDependents + (loop for v in vl for d in dl + when (member v d) + collect v)) + (loop for v in vl for d in dl + when (member v d) + do (say v "depends on itself") + (setq fatalError t)) (cond - ((and (pairp vl) (eq (qcar vl) '|:|) + (fatalError (|userError| "Parameter specification error")) + (t + (loop until (null vl) do + (setq newl + (loop for v in vl for d in dl + when (null (|intersection| d vl)) + collect v)) + (if (null newl) + (setq vl nil) ; force loop exit (progn - (setq tmp1 (qcdr vl)) - (and (pairp tmp1) - (progn - (setq args (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) - (progn - (setq target (qcar tmp2)) - t)))))) - (when (and (pairp args) (eq (qcar args) '|@Tuple|)) - (setq args (qcdr args))) + (setq orderedVarList (append newl orderedVarList)) + (setq vlp (setdifference vl newl)) + (setq dlp + (loop for x in vl for d in dl + when (|member| x vlp) + collect (setdifference d newl))) + (setq vl vlp) + (setq dl dlp)))) + (when (and newl orderedVarList) (remdup (nreverse orderedVarList))))))) + +\end{chunk} + +\section{Code optimization routines} +\defun{optimizeFunctionDef}{optimizeFunctionDef} +\calls{optimizeFunctionDef}{qcar} +\calls{optimizeFunctionDef}{qcdr} +\calls{optimizeFunctionDef}{rplac} +\calls{optimizeFunctionDef}{sayBrightlyI} +\calls{optimizeFunctionDef}{optimize} +\calls{optimizeFunctionDef}{pp} +\calls{optimizeFunctionDef}{bright} +\refsdollar{optimizeFunctionDef}{reportOptimization} +\begin{chunk}{defun optimizeFunctionDef} +(defun |optimizeFunctionDef| (def) + (labels ( + (fn (x g) + (cond + ((and (consp x) (eq (qfirst x) 'throw) (consp (qrest x)) + (equal (qsecond x) g)) + (|rplac| (car x) 'return) + (|rplac| (cdr x) + (replaceThrowByReturn (qcddr x) g))) + ((atom x) nil) + (t + (replaceThrowByReturn (car x) g) + (replaceThrowByReturn (cdr x) g)))) + (replaceThrowByReturn (x g) + (fn x g) + x) + (removeTopLevelCatch (body) + (if (and (consp body) (eq (qfirst body) 'catch) (consp (qrest body)) + (consp (qcddr body)) (eq (qcdddr body) nil)) + (removeTopLevelCatch + (replaceThrowByReturn + (qthird body) (qsecond body))) + body))) + (let (defp name slamOrLam args body bodyp) + (declare (special |$reportOptimization|)) + (when |$reportOptimization| + (|sayBrightlyI| (|bright| "Original LISP code:")) + (|pp| def)) + (setq defp (|optimize| (copy def))) + (when |$reportOptimization| + (|sayBrightlyI| (|bright| "Optimized LISP code:")) + (|pp| defp) + (|sayBrightlyI| (|bright| "Final LISP code:"))) + (setq name (car defp)) + (setq slamOrLam (caadr defp)) + (setq args (cadadr defp)) + (setq body (car (cddadr defp))) + (setq bodyp (removeTopLevelCatch body)) + (list name (list slamOrLam args bodyp))))) + +\end{chunk} + +\defun{optimize}{optimize} +\calls{optimize}{qcar} +\calls{optimize}{qcdr} +\calls{optimize}{optimize} +\calls{optimize}{say} +\calls{optimize}{prettyprint} +\calls{optimize}{rplac} +\calls{optimize}{optIF2COND} +\calls{optimize}{getl} +\calls{optimize}{subrname} +\begin{chunk}{defun optimize} +(defun |optimize| (x) + (labels ( + (opt (x) + (let (argl body a y op) + (cond + ((atom x) nil) + ((eq (setq y (car x)) 'quote) nil) + ((eq y 'closedfn) nil) + ((and (consp y) (consp (qfirst y)) (eq (qcaar y) 'xlam) + (consp (qcdar y)) (consp (qcddar y)) + (eq (qcdddar y) nil)) + (setq argl (qcadar y)) + (setq body (qcaddar y)) + (setq a (qrest y)) + (|optimize| (cdr x)) + (cond + ((eq argl '|ignore|) (rplac (car x) body)) + (t + (when (null (<= (length argl) (length a))) + (say "length mismatch in XLAM expression") + (prettyprint y)) + (rplac (car x) + (|optimize| + (|optXLAMCond| + (sublis (|pairList| argl a) body))))))) + ((atom y) + (|optimize| (cdr x)) (cond - ((listp args) - (setq tmp3 (|argsToSig| args)) - (setq arg1 (CAR tmp3)) - (setq sig1 (second tmp3)) - (cond - (sig1 - (setq ress - (|compAtSign| - (list '@ - (list '+-> arg1 body) - (cons '|Mapping| (cons target sig1))) m e)) - ress) - (t (|stackAndThrow| (list '|compLambda| x ))))) - (t (|stackAndThrow| (list '|compLambda| x ))))) - (t (|stackAndThrow| (list '|compLambda| x )))))) + ((eq y '|true|) (rplac (car x) '''T)) + ((eq y '|false|) (rplac (car x) nil)))) + ((eq (car y) 'if) + (rplac (car x) (|optIF2COND| y)) + (setq y (car x)) + (when (setq op (getl (|subrname| (car y)) 'optimize)) + (|optimize| (cdr x)) + (rplac (car x) (funcall op (|optimize| (car x)))))) + ((setq op (getl (|subrname| (car y)) 'optimize)) + (|optimize| (cdr x)) + (rplac (car x) (funcall op (|optimize| (car x))))) + (t + (rplac (car x) (|optimize| (car x))) + (|optimize| (cdr x))))))) + (opt x) + x)) \end{chunk} -\defplist{leave}{compLeave} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|leave| 'special) '|compLeave|)) +\defun{optXLAMCond}{optXLAMCond} +\calls{optXLAMCond}{optCONDtail} +\calls{optXLAMCond}{optPredicateIfTrue} +\calls{optXLAMCond}{optXLAMCond} +\calls{optXLAMCond}{qcar} +\calls{optXLAMCond}{qcdr} +\calls{optXLAMCond}{rplac} +\begin{chunk}{defun optXLAMCond} +(defun |optXLAMCond| (x) + (cond + ((and (consp x) (eq (qfirst x) 'cond) (consp (qrest x)) + (consp (qsecond x)) (consp (qcdadr x)) + (eq (qcddadr x) nil)) + (if (|optPredicateIfTrue| (qcaadr x)) + (qcadadr x) + (cons 'cond (cons (qsecond x) (|optCONDtail| (qcddr x)))))) + ((atom x) x) + (t + (rplac (car x) (|optXLAMCond| (car x))) + (rplac (cdr x) (|optXLAMCond| (cdr x))) + x))) \end{chunk} -\defun{compLeave}{compLeave} -\calls{compLeave}{comp} -\calls{compLeave}{modifyModeStack} -\usesdollar{compLeave}{exitModeStack} -\usesdollar{compLeave}{leaveLevelStack} -\begin{chunk}{defun compLeave} -(defun |compLeave| (arg m e) - (let (level x index u) - (declare (special |$exitModeStack| |$leaveLevelStack|)) - (setq level (second arg)) - (setq x (third arg)) - (setq index - (- (1- (|#| |$exitModeStack|)) (elt |$leaveLevelStack| (1- level)))) - (when (setq u (|comp| x (elt |$exitModeStack| index) e)) - (|modifyModeStack| (second u) index) - (list (list '|TAGGEDexit| index u) m e )))) +\defun{optCONDtail}{optCONDtail} +\calls{optCONDtail}{optCONDtail} +\refsdollar{optCONDtail}{true} +\begin{chunk}{defun optCONDtail} +(defun |optCONDtail| (z) + (declare (special |$true|)) + (when z + (cond + ((|optPredicateIfTrue| (caar z)) (list (list |$true| (cadar z)))) + ((null (cdr z)) (list (car z) (list |$true| (list '|CondError|)))) + (t (cons (car z) (|optCONDtail| (cdr z))))))) \end{chunk} -\defplist{mdef}{compMacro} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'mdef 'special) '|compMacro|)) +\defdollar{BasicPredicates} +If these predicates are found in an expression the code optimizer +routine optPredicateIfTrue then optXLAM will replace the call with +the argument. This is used for predicates that test the type of +their argument so that, for instance, a call to integerp on an integer +will be replaced by that integer if it is true. This represents a +simple kind of compile-time type evaluation. +\begin{chunk}{initvars} +(defvar |$BasicPredicates| '(integerp stringp floatp)) \end{chunk} -\defun{compMacro}{compMacro} -\calls{compMacro}{qcar} -\calls{compMacro}{formatUnabbreviated} -\calls{compMacro}{sayBrightly} -\calls{compMacro}{put} -\calls{compMacro}{macroExpand} -\usesdollar{compMacro}{macroIfTrue} -\usesdollar{compMacro}{NoValueMode} -\usesdollar{compMacro}{EmptyMode} -\begin{chunk}{defun compMacro} -(defun |compMacro| (form m e) - (let (|$macroIfTrue| lhs signature specialCases rhs prhs) - (declare (special |$macroIfTrue| |$NoValueMode| |$EmptyMode|)) - (setq |$macroIfTrue| t) - (setq lhs (second form)) - (setq signature (third form)) - (setq specialCases (fourth form)) - (setq rhs (fifth form)) - (setq prhs - (cond - ((and (pairp rhs) (eq (qcar rhs) 'category)) - (list "-- the constructor category")) - ((and (pairp rhs) (eq (qcar rhs) '|Join|)) - (list "-- the constructor category")) - ((and (pairp rhs) (eq (qcar rhs) 'capsule)) - (list "-- the constructor capsule")) - ((and (pairp rhs) (eq (qcar rhs) '|add|)) - (list "-- the constructor capsule")) - (t (|formatUnabbreviated| rhs)))) - (|sayBrightly| - (cons " processing macro definition" - (cons '|%b| - (append (|formatUnabbreviated| lhs) - (cons " ==> " - (append prhs (list '|%d|))))))) - (when (or (equal m |$EmptyMode|) (equal m |$NoValueMode|)) - (list '|/throwAway| |$NoValueMode| - (|put| (CAR lhs) '|macro| (|macroExpand| rhs e) e))))) +\defun{optPredicateIfTrue}{optPredicateIfTrue} +\refsdollar{optPredicateIfTrue}{BasicPredicates} +\begin{chunk}{defun optPredicateIfTrue} +(defun |optPredicateIfTrue| (p) + (declare (special |$BasicPredicates|)) + (cond + ((and (consp p) (eq (qfirst p) 'quote)) T) + ((and (consp p) (consp (qrest p)) (eq (qcddr p) nil) + (member (qfirst p) |$BasicPredicates|) (funcall (qfirst p) (qsecond p))) + t) + (t nil))) \end{chunk} -\defplist{pretend}{compPretend} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|pretend| 'special) '|compPretend|)) +\defun{optIF2COND}{optIF2COND} +\calls{optIF2COND}{optIF2COND} +\refsdollar{optIF2COND}{true} +\begin{chunk}{defun optIF2COND} +(defun |optIF2COND| (arg) + (let (a b c) + (declare (special |$true|)) + (setq a (cadr arg)) + (setq b (caddr arg)) + (setq c (cadddr arg)) + (cond + ((eq b '|noBranch|) (list 'cond (list (list 'null a ) c))) + ((eq c '|noBranch|) (list 'cond (list a b))) + ((and (consp c) (eq (qfirst c) 'if)) + (cons 'cond (cons (list a b) (cdr (|optIF2COND| c))))) + ((and (consp c) (eq (qfirst c) 'cond)) + (cons 'cond (cons (list a b) (qrest c)))) + (t + (list 'cond (list a b) (list |$true| c)))))) \end{chunk} -\defun{compPretend}{compPretend} -\calls{compPretend}{addDomain} -\calls{compPretend}{comp} -\calls{compPretend}{opOf} -\calls{compPretend}{nequal} -\calls{compPretend}{stackSemanticError} -\calls{compPretend}{stackWarning} -\usesdollar{compPretend}{newCompilerUnionFlag} -\usesdollar{compPretend}{EmptyMode} -\begin{chunk}{defun compPretend} -(defun |compPretend| (arg m e) - (let (x tt warningMessage td tp) - (declare (special |$newCompilerUnionFlag| |$EmptyMode|)) - (setq x (second arg)) - (setq tt (third arg)) - (setq e (|addDomain| tt e)) - (when (setq td (or (|comp| x tt e) (|comp| x |$EmptyMode| e))) - (when (equal (second td) tt) - (setq warningMessage (list '|pretend| tt '| -- should replace by @|))) +\defun{subrname}{subrname} +\calls{subrname}{identp} +\calls{subrname}{compiled-function-p} +\calls{subrname}{mbpip} +\calls{subrname}{bpiname} +\begin{chunk}{defun subrname} +(defun |subrname| (u) + (cond + ((identp u) u) + ((or (compiled-function-p u) (mbpip u)) (bpiname u)) + (t nil))) + +\end{chunk} + +\subsection{Special case optimizers} +Optimization functions are called through the OPTIMIZE property on the +symbol property list. The current list is: +\begin{verbatim} + |call| optCall + seq optSEQ + eq optEQ + minus optMINUS + qsminus optQSMINUS + - opt- + lessp optLESSP + spadcall optSPADCALL + | optSuchthat + catch optCatch + cond optCond + |mkRecord| optMkRecord + recordelt optRECORDELT + setrecordelt optSETRECORDELT + recordcopy optRECORDCOPY +\end{verbatim} + +Be aware that there are case-sensitivity issues. When found in the +s-expression, each symbol in the left column will call a custom +optimization routine in the right column. The optimization routines +are below. Note that each routine has a special chunk in postvars +using eval-when to set the property list at load time. + +These optimizations are done destructively. That is, they modify the +function in-place using rplac. + +Not all of the optimization routines are called through the property +list. Some are called only from other optimization routines, e.g. +optPackageCall. + +\defplist{call}{optCall} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|call| 'optimize) '|optCall|)) + +\end{chunk} + +\defun{optCall}{Optimize ``call'' expressions} +\calls{optCall}{optimize} +\calls{optCall}{rplac} +\calls{optCall}{optPackageCall} +\calls{optCall}{optCallSpecially} +\calls{optCall}{systemErrorHere} +\refsdollar{optCall}{QuickCode} +\refsdollar{optCall}{bootStrapMode} +\begin{chunk}{defun optCall} +(defun |optCall| (x) + (let (u tmp1 fn a name q r n w) + (declare (special |$QuickCode| |$bootStrapMode|)) + (setq u (cdr x)) + (setq x (|optimize| (list u))) (cond - ((and |$newCompilerUnionFlag| - (eq (|opOf| (second td)) '|Union|) - (nequal (|opOf| m) '|Union|)) - (|stackSemanticError| - (list '|cannot pretend | x '| of mode | (second td) '| to mode | m) - nil)) - (t - (setq td (list (first td) tt (third td))) - (when (setq tp (|coerce| td m)) - (when warningMessage (|stackWarning| warningMessage)) - tp)))))) + ((atom (car x)) (car x)) + (t + (setq tmp1 (car x)) + (setq fn (car tmp1)) + (setq a (cdr tmp1)) + (cond + ((atom fn) (rplac (cdr x) a) (rplac (car x) fn)) + ((and (consp fn) (eq (qfirst fn) 'pac)) (|optPackageCall| x fn a)) + ((and (consp fn) (eq (qfirst fn) '|applyFun|) + (consp (qrest fn)) (eq (qcddr fn) nil)) + (setq name (qsecond fn)) + (rplac (car x) 'spadcall) + (rplac (cdr x) (append a (cons name nil))) + x) + ((and (consp fn) (consp (qrest fn)) (consp (qcddr fn)) + (eq (qcdddr fn) nil) + (member (qfirst fn) '(elt qrefelt const))) + (setq q (qfirst fn)) + (setq r (qsecond fn)) + (setq n (qthird fn)) + (cond + ((and (null |$bootStrapMode|) (setq w (|optCallSpecially| q x n r))) + w) + ((eq q 'const) + (list '|spadConstant| r n)) + (t + (rplac (car x) 'spadcall) + (when |$QuickCode| (rplaca fn 'qrefelt)) + (rplac (cdr x) (append a (list fn))) + x))) + (t (|systemErrorHere| "optCall"))))))) \end{chunk} -\defplist{quote}{compQuote} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'quote 'special) '|compQuote|)) +\defun{optPackageCall}{optPackageCall} +\calls{optPackageCall}{rplaca} +\calls{optPackageCall}{rplacd} +\begin{chunk}{defun optPackageCall} +(defun |optPackageCall| (x arg2 arglist) + (let (packageVariableOrForm functionName) + (setq packageVariableOrForm (second arg2)) + (setq functionName (third arg2)) + (rplaca x functionName) + (rplacd x (append arglist (list packageVariableOrForm))) + x)) \end{chunk} -\defun{compQuote}{compQuote} -\begin{chunk}{defun compQuote} -(defun |compQuote| (expr m e) - (list expr m e)) +\defun{optCallSpecially}{optCallSpecially} +\calls{optCallSpecially}{lassoc} +\calls{optCallSpecially}{kar} +\calls{optCallSpecially}{get} +\calls{optCallSpecially}{opOf} +\calls{optCallSpecially}{optSpecialCall} +\refsdollar{optCallSpecially}{specialCaseKeyList} +\refsdollar{optCallSpecially}{getDomainCode} +\refsdollar{optCallSpecially}{optimizableConstructorNames} +\refsdollar{optCallSpecially}{e} +\begin{chunk}{defun optCallSpecially} +(defun |optCallSpecially| (q x n r) + (declare (ignore q)) + (labels ( + (lookup (a z) + (let (zp) + (when z + (setq zp (car z)) + (setq z (cdr x)) + (if (and (consp zp) (eq (qfirst zp) 'let) (consp (qrest zp)) + (equal (qsecond zp) a) (consp (qcddr zp))) + (qthird zp) + (lookup a z)))))) + (let (tmp1 op y prop yy) + (declare (special |$specialCaseKeyList| |$getDomainCode| |$e| + |$optimizableConstructorNames|)) + (cond + ((setq y (lassoc r |$specialCaseKeyList|)) + (|optSpecialCall| x y n)) + ((member (kar r) |$optimizableConstructorNames|) + (|optSpecialCall| x r n)) + ((and (setq y (|get| r '|value| |$e|)) + (member (|opOf| (car y)) |$optimizableConstructorNames|)) + (|optSpecialCall| x (car y) n)) + ((and (setq y (lookup r |$getDomainCode|)) + (progn + (setq tmp1 y) + (setq op (first tmp1)) + (setq y (second tmp1)) + (setq prop (third tmp1)) + tmp1) + (setq yy (lassoc y |$specialCaseKeyList|))) + (|optSpecialCall| x (list op yy prop) n)) + (t nil))))) \end{chunk} -\defplist{collect}{compRepeatOrCollect} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'collect 'special) '|compRepeatOrCollect|)) +\defun{optSpecialCall}{optSpecialCall} +\calls{optSpecialCall}{optCallEval} +\calls{optSpecialCall}{function} +\calls{optSpecialCall}{keyedSystemError} +\calls{optSpecialCall}{mkq} +\calls{optSpecialCall}{getl} +\calls{optSpecialCall}{compileTimeBindingOf} +\calls{optSpecialCall}{rplac} +\calls{optSpecialCall}{optimize} +\calls{optSpecialCall}{rplacw} +\calls{optSpecialCall}{rplaca} +\refsdollar{optSpecialCall}{QuickCode} +\refsdollar{optSpecialCall}{Undef} +\begin{chunk}{defun optSpecialCall} +(defun |optSpecialCall| (x y n) + (let (yval args tmp1 fn a) + (declare (special |$QuickCode| |Undef|)) + (setq yval (|optCallEval| y)) + (cond + ((eq (caaar x) 'const) + (cond + ((equal (kar (elt yval n)) (|function| |Undef|)) + (|keyedSystemError| 'S2GE0016 + (list "optSpecialCall" "invalid constant"))) + (t (mkq (elt yval n))))) + ((setq fn (getl (|compileTimeBindingOf| (car (elt yval n))) '|SPADreplace|)) + (|rplac| (cdr x) (cdar x)) + (|rplac| (car x) fn) + (when (and (consp fn) (eq (qfirst fn) 'xlam)) + (setq x (car (|optimize| (list x))))) + (if (and (consp x) (eq (qfirst x) 'equal) (progn (setq args (qrest x)) t)) + (rplacw x (def-equal args)) + x)) + (t + (setq tmp1 (car x)) + (setq fn (car tmp1)) + (setq a (cdr tmp1)) + (rplac (car x) 'spadcall) + (when |$QuickCode| (rplaca fn 'qrefelt)) + (rplac (cdr x) (append a (list fn))) + x)))) \end{chunk} -\defplist{repeat}{compRepeatOrCollect} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'repeat 'special) '|compRepeatOrCollect|)) +\defun{compileTimeBindingOf}{compileTimeBindingOf} +\calls{compileTimeBindingOf}{bpiname} +\calls{compileTimeBindingOf}{keyedSystemError} +\calls{compileTimeBindingOf}{moan} +\begin{chunk}{defun compileTimeBindingOf} +(defun |compileTimeBindingOf| (u) + (let (name) + (cond + ((null (setq name (bpiname u))) + (|keyedSystemError| 'S2OO0001 (list u))) + ((eq name '|Undef|) + (moan "optimiser found unknown function")) + (t name)))) \end{chunk} -\defun{compRepeatOrCollect}{compRepeatOrCollect} -\calls{compRepeatOrCollect}{length} -\calls{compRepeatOrCollect}{compIterator} -\calls{compRepeatOrCollect}{modeIsAggregateOf} -\calls{compRepeatOrCollect}{stackMessage} -\calls{compRepeatOrCollect}{compOrCroak} -\calls{compRepeatOrCollect}{comp} -\calls{compRepeatOrCollect}{msubst} -\calls{compRepeatOrCollect}{coerceExit} -\calls{compRepeatOrCollect}{} -\calls{compRepeatOrCollect}{} -\usesdollar{compRepeatOrCollect}{until} -\usesdollar{compRepeatOrCollect}{Boolean} -\usesdollar{compRepeatOrCollect}{NoValueMode} -\usesdollar{compRepeatOrCollect}{exitModeStack} -\usesdollar{compRepeatOrCollect}{leaveLevelStack} -\usesdollar{compRepeatOrCollect}{formalArgList} -\begin{chunk}{defun compRepeatOrCollect} -(defun |compRepeatOrCollect| (form m e) - (labels ( - (fn (form |$exitModeStack| |$leaveLevelStack| |$formalArgList| e) - (declare (special |$exitModeStack| |$leaveLevelStack| |$formalArgList|)) - (let (|$until| body itl xp targetMode repeatOrCollect bodyMode bodyp mp tmp1 - untilCode ep itlp formp u mpp tmp2) - (declare (special |$Boolean| |$until| |$NoValueMode| )) - (setq |$until| nil) - (setq repeatOrCollect (car form)) - (setq tmp1 (reverse (cdr form))) - (setq body (car tmp1)) - (setq itl (nreverse (cdr tmp1))) - (setq itlp - (dolist (x itl (nreverse0 tmp2)) - (setq tmp1 (or (|compIterator| x e) (return '|failed|))) - (setq xp (first tmp1)) - (setq e (second tmp1)) - (push xp tmp2))) - (unless (eq itlp '|failed|) - (setq targetMode (car |$exitModeStack|)) - (setq bodyMode - (if (eq repeatOrCollect 'collect) - (cond - ((eq targetMode '|$EmptyMode|) - '|$EmptyMode|) - ((setq u (|modeIsAggregateOf| '|List| targetMode e)) - (second u)) - ((setq u (|modeIsAggregateOf| '|PrimitiveArray| targetMode e)) - (setq repeatOrCollect 'collectv) - (second u)) - ((setq u (|modeIsAggregateOf| '|Vector| targetMode e)) - (setq repeatOrCollect 'collectvec) - (second u)) - (t - (|stackMessage| "Invalid collect bodytype") - '|failed|)) - |$NoValueMode|)) - (unless (eq bodyMode '|failed|) - (when (setq tmp1 (|compOrCroak| body bodyMode e)) - (setq bodyp (first tmp1)) - (setq mp (second tmp1)) - (setq ep (third tmp1)) - (when |$until| - (setq tmp1 (|comp| |$until| |$Boolean| ep)) - (setq untilCode (first tmp1)) - (setq ep (third tmp1)) - (setq itlp (msubst (list 'until untilCode) '|$until| itlp))) - (setq formp (cons repeatOrCollect (append itlp (list bodyp)))) - (setq mpp - (cond - ((eq repeatOrCollect 'collect) - (if (setq u (|modeIsAggregateOf| '|List| targetMode e)) - (car u) - (list '|List| mp))) - ((eq repeatOrCollect 'collectv) - (if (setq u (|modeIsAggregateOf| '|PrimitiveArray| targetMode e)) - (car u) - (list '|PrimitiveArray| mp))) - ((eq repeatOrCollect 'collectvec) - (if (setq u (|modeIsAggregateOf| '|Vector| targetMode e)) - (car u) - (list '|Vector| mp))) - (t mp))) - (|coerceExit| (list formp mpp ep) targetMode)))))) ) - (declare (special |$exitModeStack| |$leaveLevelStack| |$formalArgList|)) - (fn form - (cons m |$exitModeStack|) - (cons (|#| |$exitModeStack|) |$leaveLevelStack|) - |$formalArgList| - e))) +\defun{optCallEval}{optCallEval} +\calls{optCallEval}{qcar} +\calls{optCallEval}{List} +\calls{optCallEval}{Integer} +\calls{optCallEval}{Vector} +\calls{optCallEval}{PrimititveArray} +\calls{optCallEval}{FactoredForm} +\calls{optCallEval}{Matrix} +\calls{optCallEval}{eval} +\begin{chunk}{defun optCallEval} +(defun |optCallEval| (u) + (cond + ((and (consp u) (eq (qfirst u) '|List|)) + (|List| (|Integer|))) + ((and (consp u) (eq (qfirst u) '|Vector|)) + (|Vector| (|Integer|))) + ((and (consp u) (eq (qfirst u) '|PrimitiveArray|)) + (|PrimitiveArray| (|Integer|))) + ((and (consp u) (eq (qfirst u) '|FactoredForm|)) + (|FactoredForm| (|Integer|))) + ((and (consp u) (eq (qfirst u) '|Matrix|)) + (|Matrix| (|Integer|))) + (t + (|eval| u)))) + +\end{chunk} + +\defplist{seq}{optSEQ} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'seq 'optimize) '|optSEQ|)) + +\end{chunk} +\defun{optSEQ}{optSEQ} +\begin{chunk}{defun optSEQ} +(defun |optSEQ| (arg) + (labels ( + (tryToRemoveSEQ (z) + (if (and (consp z) (eq (qfirst z) 'seq) (consp (qrest z)) + (eq (qcddr z) nil) (consp (qsecond z)) + (consp (qcdadr z)) + (eq (qcddadr z) nil) + (member (qcaadr z) '(exit return throw))) + (qcadadr z) + z)) + (SEQToCOND (z) + (let (transform before aft) + (setq transform + (loop for x in z + while + (and (consp x) (eq (qfirst x) 'cond) (consp (qrest x)) + (eq (qcddr x) nil) (consp (qsecond x)) + (consp (qcdadr x)) + (eq (qcddadr x) nil) + (consp (qcadadr x)) + (eq (qfirst (qcadadr x)) 'exit) + (consp (qrest (qcadadr x))) + (eq (qcddr (qcadadr x)) nil)) + collect + (list (qcaadr x) + (qsecond (qcadadr x))))) + (setq before (take (|#| transform) z)) + (setq aft (|after| z before)) + (cond + ((null before) (cons 'seq aft)) + ((null aft) + (cons 'cond (append transform (list '(t (|conderr|)))))) + (t + (cons 'cond (append transform + (list (list ''t (|optSEQ| (cons 'seq aft)))))))))) + (getRidOfTemps (z) + (let (g x r) + (cond + ((null z) nil) + ((and (consp z) (consp (qfirst z)) (eq (qcaar z) 'let) + (consp (qcdar z)) (consp (qcddar z)) + (gensymp (qcadar z)) + (> 2 (|numOfOccurencesOf| (qcadar z) (qrest z)))) + (setq g (qcadar z)) + (setq x (qcaddar z)) + (setq r (qrest z)) + (getRidOfTemps (msubst x g r))) + ((eq (car z) '|/throwAway|) + (getRidOfTemps (cdr z))) + (t + (cons (car z) (getRidOfTemps (cdr z)))))))) + (tryToRemoveSEQ (SEQToCOND (getRidOfTemps (cdr arg)))))) \end{chunk} -\defplist{reduce}{compReduce} +\defplist{eq}{optEQ} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get 'reduce 'special) '|compReduce|)) + (setf (get 'eq 'optimize) '|optEQ|)) \end{chunk} -\defun{compReduce}{compReduce} -\calls{compReduce}{compReduce1} -\usesdollar{compReduce}{formalArgList} -\begin{chunk}{defun compReduce} -(defun |compReduce| (form m e) - (declare (special |$formalArgList|)) - (|compReduce1| form m e |$formalArgList|)) +\defun{optEQ}{optEQ} +\begin{chunk}{defun optEQ} +(defun |optEQ| (u) + (let (z r) + (cond + ((and (consp u) (eq (qfirst u) 'eq) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil)) + (setq z (qsecond u)) + (setq r (qthird u)) +; That undoes some weird work in Boolean to do with the definition of true + (if (and (numberp z) (numberp r)) + (list 'quote (eq z r)) + u)) + (t u)))) \end{chunk} -\defun{compReduce1}{compReduce1} -\calls{compReduce1}{systemError} -\calls{compReduce1}{nreverse0} -\calls{compReduce1}{compIterator} -\calls{compReduce1}{comp} -\calls{compReduce1}{parseTran} -\calls{compReduce1}{getIdentity} -\calls{compReduce1}{msubst} -\usesdollar{compReduce1}{sideEffectsList} -\usesdollar{compReduce1}{until} -\usesdollar{compReduce1}{initList} -\usesdollar{compReduce1}{Boolean} -\usesdollar{compReduce1}{e} -\usesdollar{compReduce1}{endTestList} -\begin{chunk}{defun compReduce1} -(defun |compReduce1| (form m e |$formalArgList|) - (declare (special |$formalArgList|)) - (let (|$sideEffectsList| |$until| |$initList| |$endTestList| collectForm - collectOp body op itl acc afterFirst bodyVal part1 part2 part3 id - identityCode untilCode finalCode tmp1 tmp2) - (declare (special |$sideEffectsList| |$until| |$initList| |$Boolean| |$e| - |$endTestList|)) - (setq op (second form)) - (setq collectForm (fourth form)) - (setq collectOp (first collectForm)) - (setq tmp1 (reverse (cdr collectForm))) - (setq body (first tmp1)) - (setq itl (nreverse (cdr tmp1))) - (when (stringp op) (setq op (intern op))) +\defplist{minus}{optMINUS} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'minus 'optimize) '|optMINUS|)) + +\end{chunk} + +\defun{optMINUS}{optMINUS} +\begin{chunk}{defun optMINUS} +(defun |optMINUS| (u) + (let (v) (cond - ((null (member collectOp '(collect collectv collectvec))) - (|systemError| (list '|illegal reduction form:| form))) - (t - (setq |$sideEffectsList| nil) - (setq |$until| nil) - (setq |$initList| nil) - (setq |$endTestList| nil) - (setq |$e| e) - (setq itl - (dolist (x itl (nreverse0 tmp2)) - (setq tmp1 (or (|compIterator| x |$e|) (return '|failed|))) - (setq |$e| (second tmp1)) - (push (elt tmp1 0) tmp2))) - (unless (eq itl '|failed|) - (setq e |$e|) - (setq acc (gensym)) - (setq afterFirst (gensym)) - (setq bodyVal (gensym)) - (when (setq tmp1 (|comp| (list 'let bodyVal body ) m e)) - (setq part1 (first tmp1)) - (setq m (second tmp1)) - (setq e (third tmp1)) - (when (setq tmp1 (|comp| (list 'let acc bodyVal) m e)) - (setq part2 (first tmp1)) - (setq e (third tmp1)) - (when (setq tmp1 - (|comp| (list 'let acc (|parseTran| (list op acc bodyVal))) m e)) - (setq part3 (first tmp1)) - (setq e (third tmp1)) - (when (setq identityCode - (if (setq id (|getIdentity| op e)) - (car (|comp| id m e)) - (list '|IdentityError| (mkq op)))) - (setq finalCode - (cons 'progn - (cons (list 'let afterFirst nil) - (cons - (cons 'repeat - (append itl - (list - (list 'progn part1 - (list 'if afterFirst part3 - (list 'progn part2 (list 'let afterFirst (mkq t)))) nil)))) - (list (list 'if afterFirst acc identityCode )))))) - (when |$until| - (setq tmp1 (|comp| |$until| |$Boolean| e)) - (setq untilCode (first tmp1)) - (setq e (third tmp1)) - (setq finalCode - (msubst (list 'until untilCode) '|$until| finalCode))) - (list finalCode m e )))))))))) + ((and (consp u) (eq (qfirst u) 'minus) (consp (qrest u)) + (eq (qcddr u) nil)) + (setq v (qsecond u)) + (cond ((numberp v) (- v)) (t u))) + (t u)))) \end{chunk} -\defplist{return}{compReturn} +\defplist{qsminus}{optQSMINUS} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|return| 'special) '|compReturn|)) + (setf (get 'qsminus 'optimize) '|optQSMINUS|)) \end{chunk} -\defun{compReturn}{compReturn} -\calls{compReturn}{stackSemanticError} -\calls{compReturn}{nequal} -\calls{compReturn}{userError} -\calls{compReturn}{resolve} -\calls{compReturn}{comp} -\calls{compReturn}{modifyModeStack} -\usesdollar{compReturn}{exitModeStack} -\usesdollar{compReturn}{returnMode} -\begin{chunk}{defun compReturn} -(defun |compReturn| (arg m e) - (let (level x index u xp mp ep) - (declare (special |$returnMode| |$exitModeStack|)) - (setq level (second arg)) - (setq x (third arg)) +\defun{optQSMINUS}{optQSMINUS} +\begin{chunk}{defun optQSMINUS} +(defun |optQSMINUS| (u) + (let (v) (cond - ((null |$exitModeStack|) - (|stackSemanticError| - (list '|the return before| '|%b| x '|%d| '|is unneccessary|) nil) - nil) - ((nequal level 1) - (|userError| "multi-level returns not supported")) - (t - (setq index (max 0 (1- (|#| |$exitModeStack|)))) - (when (>= index 0) - (setq |$returnMode| - (|resolve| (elt |$exitModeStack| index) |$returnMode|))) - (when (setq u (|comp| x |$returnMode| e)) - (setq xp (first u)) - (setq mp (second u)) - (setq ep (third u)) - (when (>= index 0) - (setq |$returnMode| (|resolve| mp |$returnMode|)) - (|modifyModeStack| mp index)) - (list (list '|TAGGEDreturn| 0 u) m ep)))))) + ((and (consp u) (eq (qfirst u) 'qsminus) (consp (qrest u)) + (eq (qcddr u) nil)) + (setq v (qsecond u)) + (cond ((numberp v) (- v)) (t u))) + (t u)))) \end{chunk} -\defplist{seq}{compSeq} +\defplist{-}{opt-} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get 'seq 'special) '|compSeq|)) + (setf (get '- 'optimize) '|opt-|)) \end{chunk} -\defun{compSeq}{compSeq} -\calls{compSeq}{compSeq1} -\usesdollar{compSeq}{exitModeStack} -\begin{chunk}{defun compSeq} -(defun |compSeq| (arg0 m e) - (declare (special |$exitModeStack|)) - (|compSeq1| (cdr arg0) (cons m |$exitModeStack|) e)) +\defun{opt-}{opt-} +\begin{chunk}{defun opt-} +(defun |opt-| (u) + (let (v) + (cond + ((and (consp u) (eq (qfirst u) '-) (consp (qrest u)) + (eq (qcddr u) NIL)) + (setq v (qsecond u)) + (cond ((numberp v) (- v)) (t u))) + (t u)))) \end{chunk} -\defun{compSeq1}{compSeq1} -\calls{compSeq1}{nreverse0} -\calls{compSeq1}{compSeqItem} -\calls{compSeq1}{mkq} -\calls{compSeq1}{replaceExitEtc} -\usesdollar{compSeq1}{exitModeStack} -\usesdollar{compSeq1}{insideExpressionIfTrue} -\usesdollar{compSeq1}{finalEnv} -\usesdollar{compSeq1}{NoValueMode} -\begin{chunk}{defun compSeq1} -(defun |compSeq1| (l |$exitModeStack| e) - (declare (special |$exitModeStack|)) - (let (|$insideExpressionIfTrue| |$finalEnv| tmp1 tmp2 c catchTag form) - (declare (special |$insideExpressionIfTrue| |$finalEnv| |$NoValueMode|)) - (setq |$insideExpressionIfTrue| nil) - (setq |$finalEnv| nil) - (when - (setq c (dolist (x l (nreverse0 tmp2)) - (setq |$insideExpressionIfTrue| nil) - (setq tmp1 (|compSeqItem| x |$NoValueMode| e)) - (unless tmp1 (return nil)) - (setq e (third tmp1)) - (push (first tmp1) tmp2))) - (setq catchTag (mkq (gensym))) - (setq form - (cons 'seq - (|replaceExitEtc| c catchTag '|TAGGEDexit| (elt |$exitModeStack| 0)))) - (list (list 'catch catchTag form) (elt |$exitModeStack| 0) |$finalEnv|)))) +\defplist{lessp}{optLESSP} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'lessp 'optimize) '|optLESSP|)) \end{chunk} -\defun{compSeqItem}{compSeqItem} -\calls{compSeqItem}{comp} -\calls{compSeqItem}{macroExpand} -\begin{chunk}{defun compSeqItem} -(defun |compSeqItem| (x m e) - (|comp| (|macroExpand| x e) m e)) +\defun{optLESSP}{optLESSP} +\begin{chunk}{defun optLESSP} +(defun |optLESSP| (u) + (let (a b) + (cond + ((and (consp u) (eq (qfirst u) 'lessp) (consp (qrest u)) + (consp (qcddr u)) + (eq (qcdddr u) nil)) + (setq a (qsecond u)) + (setq b (qthird u)) + (if (eql b 0) + (list 'minusp a) + (list '> b a))) + (t u)))) \end{chunk} -\defplist{let}{compSetq} +\defplist{spadcall}{optSPADCALL} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get 'let 'special) '|compSetq|)) + (setf (get 'spadcall 'optimize) '|optSPADCALL|)) + +\end{chunk} + +\defun{optSPADCALL}{optSPADCALL} +\calls{optSPADCALL}{optCall} +\refsdollar{optSPADCALL}{InteractiveMode} +\begin{chunk}{defun optSPADCALL} +(defun |optSPADCALL| (form) + (let (fun argl tmp1 dom slot) + (declare (special |$InteractiveMode|)) + (setq argl (cdr form)) + (cond + ; last arg is function/env, but may be a form + ((null |$InteractiveMode|) form) + ((and (consp argl) + (progn (setq tmp1 (reverse argl)) t) + (consp tmp1)) + (setq fun (qfirst tmp1)) + (setq argl (qrest tmp1)) + (setq argl (nreverse argl)) + (cond + ((and (consp fun) + (or (eq (qfirst fun) 'elt) (eq (qfirst fun) 'lispelt)) + (progn + (and (consp (qrest fun)) + (progn + (setq dom (qsecond fun)) + (and (consp (qcddr fun)) + (eq (qcdddr fun) nil) + (progn + (setq slot (qthird fun)) + t)))))) + (|optCall| (cons '|call| (cons (list 'elt dom slot) argl)))) + (t form))) + (t form)))) \end{chunk} -\defplist{setq}{compSetq} +\defplist{|}{optSuchthat} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get 'setq 'special) '|compSetq|)) + (setf (get '|\|| 'optimize) '|optSuchthat|)) \end{chunk} -\defun{compSetq}{compSetq} -\calls{compSetq}{compSetq1} -\begin{chunk}{defun compSetq} -(defun |compSetq| (arg m e) - (|compSetq1| (second arg) (third arg) m e)) +\defun{optSuchthat}{optSuchthat} +\begin{chunk}{defun optSuchthat} +(defun |optSuchthat| (arg) + (cons 'suchthat (cdr arg))) \end{chunk} -\defun{compSetq1}{compSetq1} -\calls{compSetq1}{setqSingle} -\seebook{compSetq1}{identp}{5} -\calls{compSetq1}{compMakeDeclaration} -\calls{compSetq1}{compSetq} -\calls{compSetq1}{qcar} -\calls{compSetq1}{qcdr} -\calls{compSetq1}{setqMultiple} -\calls{compSetq1}{setqSetelt} -\usesdollar{compSetq1}{EmptyMode} -\begin{chunk}{defun compSetq1} -(defun |compSetq1| (form val m e) - (let (x y ep op z) - (declare (special |$EmptyMode|)) - (cond - ((identp form) (|setqSingle| form val m e)) - ((and (pairp form) (eq (qcar form) '|:|) (pairp (qcdr form)) - (pairp (qcdr (qcdr form))) (eq (qcdr (qcdr (qcdr form))) nil)) - (setq x (second form)) - (setq y (third form)) - (setq ep (third (|compMakeDeclaration| form |$EmptyMode| e))) - (|compSetq| (list 'let x val) m ep)) - ((pairp form) - (setq op (qcar form)) - (setq z (qcdr form)) - (cond - ((eq op 'cons) (|setqMultiple| (|uncons| form) val m e)) - ((eq op '|@Tuple|) (|setqMultiple| z val m e)) - (t (|setqSetelt| form val m e))))))) +\defplist{catch}{optCatch} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'catch 'optimize) '|optCatch|)) \end{chunk} -\defun{setqSetelt}{setqSetelt} -\calls{setqSetelt}{comp} -\begin{chunk}{defun setqSetelt} -(defun |setqSetelt| (arg val m e) - (|comp| (cons '|setelt| (cons (car arg) (append (cdr arg) (list val)))) m e)) +\defun{optCatch}{optCatch} +\calls{optCatch}{qcar} +\calls{optCatch}{qcdr} +\calls{optCatch}{rplac} +\calls{optCatch}{optimize} +\refsdollar{optCatch}{InteractiveMode} +\begin{chunk}{defun optCatch} +(defun |optCatch| (x) + (labels ( + (changeThrowToExit (s g) + (cond + ((or (atom s) (member (car s) '(quote seq repeat collect))) nil) + ((and (consp s) (eq (qfirst s) 'throw) (consp (qrest s)) + (equal (qsecond s) g)) + (|rplac| (car s) 'exit) + (|rplac| (cdr s) (qcddr s))) + (t + (changeThrowToExit (car s) g) + (changeThrowToExit (cdr s) g)))) + (hasNoThrows (a g) + (cond + ((and (consp a) (eq (qfirst a) 'throw) (consp (qrest a)) + (equal (qsecond a) g)) + nil) + ((atom a) t) + (t + (and (hasNoThrows (car a) g) + (hasNoThrows (cdr a) g))))) + (changeThrowToGo (s g) + (let (u) + (cond + ((or (atom s) (eq (car s) 'quote)) nil) + ((and (consp s) (eq (qfirst s) 'throw) (consp (qrest s)) + (equal (qsecond s) g) (consp (qcddr s)) + (eq (qcdddr s) nil)) + (setq u (qthird s)) + (changeThrowToGo u g) + (|rplac| (car s) 'progn) + (|rplac| (cdr s) (list (list 'let (cadr g) u) (list 'go (cadr g))))) + (t + (changeThrowToGo (car s) g) + (changeThrowToGo (cdr s) g)))))) + (let (g tmp2 u s tmp6 a) + (declare (special |$InteractiveMode|)) + (setq g (cadr x)) + (setq a (caddr x)) + (cond + (|$InteractiveMode| x) + ((atom a) a) + (t + (cond + ((and (consp a) (eq (qfirst a) 'seq) (consp (qrest a)) + (progn (setq tmp2 (reverse (qrest a))) t) + (consp tmp2) (consp (qfirst tmp2)) (eq (qcaar tmp2) 'throw) + (consp (qcdar tmp2)) + (equal (qcadar tmp2) g) + (consp (qcddar tmp2)) + (eq (qcdddar tmp2) nil)) + (setq u (qcaddar tmp2)) + (setq s (qrest tmp2)) + (setq s (nreverse s)) + (changeThrowToExit s g) + (|rplac| (cdr a) (append s (list (list 'exit u)))) + (setq tmp6 (|optimize| x)) + (setq a (caddr tmp6)))) + (cond + ((hasNoThrows a g) + (|rplac| (car x) (car a)) + (|rplac| (cdr x) (cdr a))) + (t + (changeThrowToGo a g) + (|rplac| (car x) 'seq) + (|rplac| (cdr x) + (list (list 'exit a) (cadr g) (list 'exit (cadr g)))))) + x))))) \end{chunk} -\defun{setqSingle}{setqSingle} -\seebook{setqSingle}{getProplist}{5} -\calls{setqSingle}{getmode} -\calls{setqSingle}{get} -\calls{setqSingle}{nequal} -\calls{setqSingle}{maxSuperType} -\calls{setqSingle}{comp} -\calls{setqSingle}{getmode} -\calls{setqSingle}{assignError} -\calls{setqSingle}{convert} -\seebook{setqSingle}{identp}{5} -\calls{setqSingle}{profileRecord} -\calls{setqSingle}{consProplistOf} -\calls{setqSingle}{removeEnv} -\seebook{setqSingle}{addBinding}{5} -\calls{setqSingle}{isDomainForm} -\calls{setqSingle}{isDomainInScope} -\calls{setqSingle}{stackWarning} -\calls{setqSingle}{augModemapsFromDomain1} -\calls{setqSingle}{NRTassocIndex} -\calls{setqSingle}{isDomainForm} -\calls{setqSingle}{outputComp} -\usesdollar{setqSingle}{insideSetqSingleIfTrue} -\usesdollar{setqSingle}{QuickLet} -\usesdollar{setqSingle}{form} -\usesdollar{setqSingle}{profileCompiler} -\usesdollar{setqSingle}{EmptyMode} -\usesdollar{setqSingle}{NoValueMode} -\begin{chunk}{defun setqSingle} -(defun |setqSingle| (id val m e) - (let (|$insideSetqSingleIfTrue| currentProplist mpp maxmpp td x mp tp key - newProplist ep k form) - (declare (special |$insideSetqSingleIfTrue| |$QuickLet| |$form| - |$profileCompiler| |$EmptyMode| |$NoValueMode|)) - (setq |$insideSetqSingleIfTrue| t) - (setq currentProplist (|getProplist| id e)) - (setq mpp - (or (|get| id '|mode| e) (|getmode| id e) - (if (equal m |$NoValueMode|) |$EmptyMode| m))) - (when (setq td - (cond - ((setq td (|comp| val mpp e)) - td) - ((and (null (|get| id '|mode| e)) - (nequal mpp (setq maxmpp (|maxSuperType| mpp e))) - (setq td (|comp| val maxmpp e))) - td) - ((and (setq td (|comp| val |$EmptyMode| e)) - (|getmode| (second td) e)) - (|assignError| val (second td) id mpp)))) - (when (setq tp (|convert| td m)) - (setq x (first tp)) - (setq mp (second tp)) - (setq ep (third tp)) - (when (and |$profileCompiler| (identp id)) - (setq key (if (member id (cdr |$form|)) '|arguments| '|locals|)) - (|profileRecord| key id (second td))) - (setq newProplist - (|consProplistOf| id currentProplist '|value| - (|removeEnv| (cons val (cdr td))))) - (setq ep (if (pairp id) ep (|addBinding| id newProplist ep))) - (when (|isDomainForm| val ep) - (when (|isDomainInScope| id ep) - (|stackWarning| - (list '|domain valued variable| '|%b| id '|%d| - '|has been reassigned within its scope| ))) - (setq ep (|augModemapsFromDomain1| id val ep))) - (if (setq k (|NRTassocIndex| id)) - (setq form (list 'setelt '$ k x)) - (setq form - (if |$QuickLet| - (list 'let id x) - (list 'let id x - (if (|isDomainForm| x ep) - (list 'elt id 0) - (car (|outputComp| id ep))))))) - (list form mp ep))))) +\defplist{cond}{optCond} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'cond 'optimize) '|optCond|)) \end{chunk} -\defplist{String}{compString} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|String| 'special) '|compString|)) +\defun{optCond}{optCond} +\calls{optCond}{qcar} +\calls{optCond}{qcdr} +\calls{optCond}{rplacd} +\calls{optCond}{TruthP} +\calls{optCond}{EqualBarGensym} +\calls{optCond}{rplac} +\begin{chunk}{defun optCond} +(defun |optCond| (x) + (let (z p1 p2 c3 c1 c2 a result) + (setq z (cdr x)) + (when + (and (consp z) (consp (qrest z)) (eq (qcddr z) nil) + (consp (qsecond z)) (consp (qcdadr z)) + (eq (qrest (qcdadr z)) nil) + (|TruthP| (qcaadr z)) + (consp (qcadadr z)) + (eq (qfirst (qcadadr z)) 'cond)) + (rplacd (cdr x) (qrest (qcadadr z)))) + (cond + ((and (consp z) (consp (qfirst z)) (consp (qrest z)) (consp (qsecond z))) + (setq p1 (qcaar z)) + (setq c1 (qcdar z)) + (setq p2 (qcaadr z)) + (setq c2 (qcdadr z)) + (when + (or (and (consp p1) (eq (qfirst p1) 'null) (consp (qrest p1)) + (eq (qcddr p1) nil) + (equal (qsecond p1) p2)) + (and (consp p2) (eq (qfirst p2) 'null) (consp (qrest p2)) + (eq (qcddr p2) nil) + (equal (qsecond p2) p1))) + (setq z (list (cons p1 c1) (cons ''t c2))) + (rplacd x z)) + (when + (and (consp c1) (eq (qrest c1) nil) (equal (qfirst c1) 'nil) + (equal p2 ''t) (equal (car c2) ''t)) + (if (and (consp p1) (eq (qfirst p1) 'null) (consp (qrest p1)) + (eq (qcddr p1) nil)) + (setq result (qsecond p1)) + (setq result (list 'null p1)))))) + (if result + result + (cond + ((and (consp z) (consp (qfirst z)) (consp (qrest z)) (consp (qsecond z)) + (consp (qcddr z)) (eq (qcdddr z) nil) + (consp (qthird z)) + (|TruthP| (qcaaddr z))) + (setq p1 (qcaar z)) + (setq c1 (qcdar z)) + (setq p2 (qcaadr z)) + (setq c2 (qcdadr z)) + (setq c3 (qcdaddr z)) + (cond + ((|EqualBarGensym| c1 c3) + (list 'cond + (cons (list 'or p1 (list 'null p2)) c1) (cons (list 'quote t) c2))) + ((|EqualBarGensym| c1 c2) + (list 'cond (cons (list 'or p1 p2) c1) (cons (list 'quote t) c3))) + (t x))) + (t + (do ((y z (cdr y))) + ((atom y) nil) + (do () + ((null (and (consp y) (consp (qfirst y)) (consp (qcdar y)) + (eq (qcddar y) nil) (consp (qrest y)) + (consp (qsecond y)) (consp (qcdadr y)) + (eq (qcddadr y) nil) + (|EqualBarGensym| (qcadar y) + (qcadadr y)))) + nil) + (setq a (list 'or (qcaar y) (qcaadr y))) + (rplac (car (car y)) a) + (rplac (cdr y) (qcddr y)))) + x))))) \end{chunk} -\defun{compString}{compString} -\calls{compString}{resolve} -\usesdollar{compString}{StringCategory} -\begin{chunk}{defun compString} -(defun |compString| (x m e) - (declare (special |$StringCategory|)) - (list x (|resolve| |$StringCategory| m) e)) +\defun{EqualBarGensym}{EqualBarGensym} +\calls{EqualBarGensym}{gensymp} +\refsdollar{EqualBarGensym}{GensymAssoc} +\defsdollar{EqualBarGensym}{GensymAssoc} +\begin{chunk}{defun EqualBarGensym} +(defun |EqualBarGensym| (x y) + (labels ( + (fn (x y) + (let (z) + (declare (special |$GensymAssoc|)) + (cond + ((equal x y) t) + ((and (gensymp x) (gensymp y)) + (if (setq z (|assoc| x |$GensymAssoc|)) + (if (equal y (cdr z)) t nil) + (progn + (setq |$GensymAssoc| (cons (cons x y) |$GensymAssoc|)) + t))) + ((null x) (and (consp y) (eq (qrest y) nil) (gensymp (qfirst y)))) + ((null y) (and (consp x) (eq (qrest x) nil) (gensymp (qfirst x)))) + ((or (atom x) (atom y)) nil) + (t + (and (fn (car x) (car y)) + (fn (cdr x) (cdr y)))))))) + (let (|$GensymAssoc|) + (declare (special |$GensymAssoc|)) + (setq |$GensymAssoc| NIL) + (fn x y)))) \end{chunk} -\defplist{SubDomain}{compSubDomain} +\defplist{mkRecord}{optMkRecord} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|SubDomain| 'special) '|compSubDomain|)) + (setf (get '|mkRecord| 'optimize) '|optMkRecord|)) \end{chunk} -\defun{compSubDomain}{compSubDomain} -\calls{compSubDomain}{compSubDomain1} -\calls{compSubDomain}{compCapsule} -\usesdollar{compSubDomain}{addFormLhs} -\usesdollar{compSubDomain}{NRTaddForm} -\usesdollar{compSubDomain}{addForm} -\usesdollar{compSubDomain}{addFormLhs} -\begin{chunk}{defun compSubDomain} -(defun |compSubDomain| (arg m e) - (let (|$addFormLhs| |$addForm| domainForm predicate tmp1) - (declare (special |$addFormLhs| |$addForm| |$NRTaddForm| |$addFormLhs|)) - (setq domainForm (second arg)) - (setq predicate (third arg)) - (setq |$addFormLhs| domainForm) - (setq |$addForm| nil) - (setq |$NRTaddForm| domainForm) - (setq tmp1 (|compSubDomain1| domainForm predicate m e)) - (setq |$addForm| (first tmp1)) - (setq e (third tmp1)) - (|compCapsule| (list 'capsule) m e))) +\defun{optMkRecord}{optMkRecord} +\calls{optMkRecord}{length} +\begin{chunk}{defun optMkRecord} +(defun |optMkRecord| (arg) + (let (u) + (setq u (cdr arg)) + (cond + ((and (consp u) (eq (qrest u) nil)) (list 'list (qfirst u))) + ((eql (|#| u) 2) (cons 'cons u)) + (t (cons 'vector u))))) \end{chunk} -\defun{compSubDomain1}{compSubDomain1} -\calls{compSubDomain1}{compMakeDeclaration} -\calls{compSubDomain1}{addDomain} -\calls{compSubDomain1}{compOrCroak} -\calls{compSubDomain1}{stackSemanticError} -\calls{compSubDomain1}{lispize} -\calls{compSubDomain1}{evalAndRwriteLispForm} -\usesdollar{compSubDomain1}{CategoryFrame} -\usesdollar{compSubDomain1}{op} -\usesdollar{compSubDomain1}{lisplibSuperDomain} -\usesdollar{compSubDomain1}{Boolean} -\usesdollar{compSubDomain1}{EmptyMode} -\begin{chunk}{defun compSubDomain1} -(defun |compSubDomain1| (domainForm predicate m e) - (let (u prefixPredicate opp dFp) - (declare (special |$CategoryFrame| |$op| |$lisplibSuperDomain| |$Boolean| - |$EmptyMode|)) - (setq e (third - (|compMakeDeclaration| (list '|:| '|#1| domainForm) - |$EmptyMode| (|addDomain| domainForm e)))) - (setq u (|compOrCroak| predicate |$Boolean| e)) - (unless u - (|stackSemanticError| - (list '|predicate: | predicate - '| cannot be interpreted with #1: | domainForm) nil)) - (setq prefixPredicate (|lispize| (first u))) - (setq |$lisplibSuperDomain| (list domainForm predicate)) - (|evalAndRwriteLispForm| '|evalOnLoad2| - (list 'setq '|$CategoryFrame| - (list '|put| - (setq opp (list 'quote |$op|)) - ''|SuperDomain| - (setq dFp (list 'quote domainForm)) - (list '|put| dFp ''|SubDomain| - (list 'cons (list 'quote (cons |$op| prefixPredicate)) - (list 'delasc opp (list '|get| dFp ''|SubDomain| '|$CategoryFrame|))) - '|$CategoryFrame|)))) - (list domainForm m e))) +\defplist{recordelt}{optRECORDELT} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'recordelt 'optimize) '|optRECORDELT|)) + +\end{chunk} + +\defun{optRECORDELT}{optRECORDELT} +\calls{optRECORDELT}{keyedSystemError} +\begin{chunk}{defun optRECORDELT} +(defun |optRECORDELT| (arg) + (let (name ind len) + (setq name (cadr arg)) + (setq ind (caddr arg)) + (setq len (cadddr arg)) + (cond + ((eql len 1) + (cond + ((eql ind 0) (list 'qcar name)) + (t (|keyedSystemError| 'S2OO0002 (list ind))))) + ((eql len 2) + (cond + ((eql ind 0) (list 'qcar name)) + ((eql ind 1) (list 'qcdr name)) + (t (|keyedSystemError| 'S2OO0002 (list ind))))) + (t (list 'qvelt name ind))))) \end{chunk} -\defplist{SubsetCategory}{compSubsetCategory} +\defplist{setrecordelt}{optSETRECORDELT} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|SubsetCategory| 'special) '|compSubsetCategory|)) + (setf (get 'setrecordelt 'optimize) '|optSETRECORDELT|)) \end{chunk} -\defun{compSubsetCategory}{compSubsetCategory} -\calls{compSubsetCategory}{put} -\calls{compSubsetCategory}{comp} -\calls{compSubsetCategory}{msubst} -\usesdollar{compSubsetCategory}{lhsOfColon} -\begin{chunk}{defun compSubsetCategory} -(defun |compSubsetCategory| (arg m e) - (let (cat r) - (declare (special |$lhsOfColon|)) - (setq cat (second arg)) - (setq r (third arg)) - ; --1. put "Subsets" property on R to allow directly coercion to subset; - ; -- allow automatic coercion from subset to R but not vice versa - (setq e (|put| r '|Subsets| (list (list |$lhsOfColon| '|isFalse|)) e)) - ; --2. give the subset domain modemaps of cat plus 3 new functions - (|comp| - (list '|Join| cat - (msubst |$lhsOfColon| '$ - (list 'category '|domain| - (list 'signature '|coerce| (list r '$)) - (list 'signature '|lift| (list r '$)) - (list 'signature '|reduce| (list '$ r))))) - m e))) +\defun{optSETRECORDELT}{optSETRECORDELT} +\calls{optSETRECORDELT}{keyedSystemError} +\begin{chunk}{defun optSETRECORDELT} +(defun |optSETRECORDELT| (arg) + (let (name ind len expr) + (setq name (cadr arg)) + (setq ind (caddr arg)) + (setq len (cadddr arg)) + (setq expr (car (cddddr arg))) + (cond + ((eql len 1) + (if (eql ind 0) + (list 'progn (list 'rplaca name expr) (list 'qcar name)) + (|keyedSystemError| 'S2OO0002 (list ind)))) + ((eql len 2) + (cond + ((eql ind 0) + (list 'progn (list 'rplaca name expr) (list 'qcar name))) + ((eql ind 1) + (list 'progn (list 'rplacd name expr) (list 'qcdr name))) + (t (|keyedSystemError| 'S2OO0002 (list ind))))) + (t + (list 'qsetvelt name ind expr))))) \end{chunk} -\defplist{|}{compSuchthat} +\defplist{recordcopy}{optRECORDCOPY} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '\| 'special) '|compSuchthat|)) + (setf (get 'recordcopy 'optimize) '|optRECORDCOPY|)) \end{chunk} -\defun{compSuchthat}{compSuchthat} -\calls{compSuchthat}{comp} -\calls{compSuchthat}{put} -\usesdollar{compSuchthat}{Boolean} -\begin{chunk}{defun compSuchthat} -(defun |compSuchthat| (arg m e) - (let (x p xp mp tmp1 pp) - (declare (special |$Boolean|)) - (setq x (second arg)) - (setq p (third arg)) - (when (setq tmp1 (|comp| x m e)) - (setq xp (first tmp1)) - (setq mp (second tmp1)) - (setq e (third tmp1)) - (when (setq tmp1 (|comp| p |$Boolean| e)) - (setq pp (first tmp1)) - (setq e (third tmp1)) - (setq e (|put| xp '|condition| pp e)) - (list xp mp e))))) +\defun{optRECORDCOPY}{optRECORDCOPY} +\begin{chunk}{defun optRECORDCOPY} +(defun |optRECORDCOPY| (arg) + (let (name len) + (setq name (cadr arg)) + (setq len (caddr arg)) + (cond + ((eql len 1) (list 'list (list 'car name))) + ((eql len 2) (list 'cons (list 'car name) (list 'cdr name))) + (t (list 'replace (list 'make-array len) name))))) \end{chunk} -\defplist{vector}{compVector} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'vector 'special) '|compVector|)) +\section{Functions to manipulate modemaps} + +\defun{addDomain}{addDomain} +\calls{addDomain}{identp} +\calls{addDomain}{qslessp} +\calls{addDomain}{getDomainsInScope} +\calls{addDomain}{domainMember} +\calls{addDomain}{isLiteral} +\calls{addDomain}{addNewDomain} +\calls{addDomain}{getmode} +\calls{addDomain}{isCategoryForm} +\calls{addDomain}{isFunctor} +\calls{addDomain}{constructor?} +\calls{addDomain}{member} +\calls{addDomain}{unknownTypeError} +\begin{chunk}{defun addDomain} +(defun |addDomain| (domain env) + (let (s name tmp1) + (cond + ((atom domain) + (cond + ((eq domain '|$EmptyMode|) env) + ((eq domain '|$NoValueMode|) env) + ((or (null (identp domain)) + (and (qslessp 2 (|#| (setq s (princ-to-string domain)))) + (eq (|char| '|#|) (elt s 0)) + (eq (|char| '|#|) (elt s 1)))) + env) + ((member domain (|getDomainsInScope| env)) env) + ((|isLiteral| domain env) env) + (t (|addNewDomain| domain env)))) + ((eq (setq name (car domain)) '|Category|) env) + ((|domainMember| domain (|getDomainsInScope| env)) env) + ((and (progn + (setq tmp1 (|getmode| name env)) + (and (consp tmp1) (eq (qfirst tmp1) '|Mapping|) + (consp (qrest tmp1)))) + (|isCategoryForm| (second tmp1) env)) + (|addNewDomain| domain env)) + ((or (|isFunctor| name) (|constructor?| name)) + (|addNewDomain| domain env)) + (t + (when (and (null (|isCategoryForm| domain env)) + (null (|member| name '(|Mapping| category)))) + (|unknownTypeError| name)) + env)))) \end{chunk} -\defun{compVector}{compVector} +\defun{unknownTypeError}{unknownTypeError} +\calls{unknownTypeError}{qcar} +\calls{unknownTypeError}{stackSemanticError} +\begin{chunk}{defun unknownTypeError} +(defun |unknownTypeError| (name) + (let (op) + (setq name + (if (and (consp name) (setq op (qfirst name))) + op + name)) + (|stackSemanticError| (list '|%b| name '|%d| '|is not a known type|) nil))) + +\end{chunk} + +\defun{isFunctor}{isFunctor} +\calls{isFunctor}{opOf} +\calls{isFunctor}{identp} +\calls{isFunctor}{getdatabase} +\calls{isFunctor}{get} +\calls{isFunctor}{constructor?} +\calls{isFunctor}{updateCategoryFrameForCategory} +\calls{isFunctor}{updateCategoryFrameForConstructor} +\refsdollar{isFunctor}{CategoryFrame} +\refsdollar{isFunctor}{InteractiveMode} +\begin{chunk}{defun isFunctor} +(defun |isFunctor| (x) + (let (op u prop) + (declare (special |$CategoryFrame| |$InteractiveMode|)) + (setq op (|opOf| x)) + (cond + ((null (identp op)) nil) + (|$InteractiveMode| + (if (member op '(|Union| |SubDomain| |Mapping| |Record|)) + t + (member (getdatabase op 'constructorkind) '(|domain| |package|)))) + ((setq u + (or (|get| op '|isFunctor| |$CategoryFrame|) + (member op '(|SubDomain| |Union| |Record|)))) + u) + ((|constructor?| op) + (cond + ((setq prop (|get| op '|isFunctor| |$CategoryFrame|)) prop) + (t + (if (eq (getdatabase op 'constructorkind) '|category|) + (|updateCategoryFrameForCategory| op) + (|updateCategoryFrameForConstructor| op)) + (|get| op '|isFunctor| |$CategoryFrame|)))) + (t nil)))) + +\end{chunk} + +\defun{getDomainsInScope}{getDomainsInScope} +The way XLAMs work: \begin{verbatim} -; null l => [$EmptyVector,m,e] -; Tl:= [[.,mUnder,e]:= comp(x,mUnder,e) or return "failed" for x in l] -; Tl="failed" => nil -; [["VECTOR",:[T.expr for T in Tl]],m,e] + ((XLAM ($1 $2 $3) (SETELT $1 0 $3)) X "c" V) ==> (SETELT X 0 V) \end{verbatim} -\calls{compVector}{comp} -\usesdollar{compVector}{EmptyVector} -\begin{chunk}{defun compVector} -(defun |compVector| (l m e) - (let (tmp1 tmp2 t0 failed (mUnder (second m))) - (declare (special |$EmptyVector|)) - (if (null l) - (list |$EmptyVector| m e) +\calls{getDomainsInScope}{get} +\refsdollar{getDomainsInScope}{CapsuleDomainsInScope} +\refsdollar{getDomainsInScope}{insideCapsuleFunctionIfTrue} +\begin{chunk}{defun getDomainsInScope} +(defun |getDomainsInScope| (env) + (declare (special |$CapsuleDomainsInScope| |$insideCapsuleFunctionIfTrue|)) + (if |$insideCapsuleFunctionIfTrue| + |$CapsuleDomainsInScope| + (|get| '|$DomainsInScope| 'special env))) + +\end{chunk} + +\defun{putDomainsInScope}{putDomainsInScope} +\calls{putDomainsInScope}{getDomainsInScope} +\calls{putDomainsInScope}{put} +\calls{putDomainsInScope}{delete} +\calls{putDomainsInScope}{say} +\calls{putDomainsInScope}{member} +\defsdollar{putDomainsInScope}{CapsuleDomainsInScope} +\refsdollar{putDomainsInScope}{insideCapsuleFunctionIfTrue} +\begin{chunk}{defun putDomainsInScope} +(defun |putDomainsInScope| (x env) + (let (z newValue) + (declare (special |$CapsuleDomainsInScope| |$insideCapsuleFunctionIfTrue|)) + (setq z (|getDomainsInScope| env)) + (when (|member| x z) (say "****** Domain: " x " already in scope")) + (setq newValue (cons x (|delete| x z))) + (if |$insideCapsuleFunctionIfTrue| (progn - (setq t0 - (do ((t3 l (cdr t3)) (x nil)) - ((or (atom t3) failed) (unless failed (nreverse0 tmp2))) - (setq x (car t3)) - (if (setq tmp1 (|comp| x mUnder e)) - (progn - (setq mUnder (second tmp1)) - (setq e (third tmp1)) - (push tmp1 tmp2)) - (setq failed t)))) - (unless failed - (list (cons 'vector (loop for texpr in t0 collect (car texpr))) m e)))))) + (setq |$CapsuleDomainsInScope| newValue) + env) + (|put| '|$DomainsInScope| 'special newValue env)))) \end{chunk} -\defplist{where}{compWhere} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|where| 'special) '|compWhere|)) +\defun{isSuperDomain}{isSuperDomain} +\calls{isSuperDomain}{isSubset} +\calls{isSuperDomain}{lassoc} +\calls{isSuperDomain}{opOf} +\calls{isSuperDomain}{get} +\begin{chunk}{defun isSuperDomain} +(defun |isSuperDomain| (domainForm domainFormp env) + (cond + ((|isSubset| domainFormp domainForm env) t) + ((and (eq domainForm '|Rep|) (eq domainFormp '$)) t) + (t (lassoc (|opOf| domainFormp) (|get| domainForm '|SubDomain| env))))) \end{chunk} -\defun{compWhere}{compWhere} -\calls{compWhere}{comp} -\calls{compWhere}{macroExpand} -\calls{compWhere}{deltaContour} -\calls{compWhere}{addContour} -\usesdollar{compWhere}{insideExpressionIfTrue} -\usesdollar{compWhere}{insideWhereIfTrue} -\usesdollar{compWhere}{EmptyMode} -\begin{chunk}{defun compWhere} -(defun |compWhere| (arg0 m eInit) - (let (|$insideExpressionIfTrue| |$insideWhereIfTrue| form exprList e - eBefore tmp1 x eAfter del eFinal) - (declare (special |$insideExpressionIfTrue| |$insideWhereIfTrue| - |$EmptyMode|)) - (setq form (second arg0)) - (setq exprlist (cddr arg0)) - (setq |$insideExpressionIfTrue| nil) - (setq |$insideWhereIfTrue| t) - (setq e eInit) - (when (dolist (item exprList t) - (setq tmp1 (|comp| item |$EmptyMode| e)) - (unless tmp1 (return nil)) - (setq e (third tmp1))) - (setq |$insideWhereIfTrue| nil) - (setq tmp1 (|comp| (|macroExpand| form (setq eBefore e)) m e)) - (when tmp1 - (setq x (first tmp1)) - (setq m (second tmp1)) - (setq eAfter (third tmp1)) - (setq del (|deltaContour| eAfter eBefore)) - (if del - (setq eFinal (|addContour| del eInit)) - (setq eFinal eInit)) - (list x m eFinal))))) +\defun{addNewDomain}{addNewDomain} +\calls{addNewDomain}{augModemapsFromDomain} +\begin{chunk}{defun addNewDomain} +(defun |addNewDomain| (domain env) + (|augModemapsFromDomain| domain domain env)) \end{chunk} -\chapter{Post Transformers} -\section{Direct called postparse routines} -\defun{postTransform}{postTransform} -\calls{postTransform}{postTran} -\seebook{postTransform}{identp}{5} -\calls{postTransform}{postTransformCheck} -\calls{postTransform}{aplTran} -\begin{chunk}{defun postTransform} -(defun |postTransform| (y) - (let (x tmp1 tmp2 tmp3 tmp4 tmp5 tt l u) - (setq x y) - (setq u (|postTran| x)) - (when - (and (pairp u) (eq (qcar u) '|@Tuple|) - (progn - (setq tmp1 (qcdr u)) - (and (pairp tmp1) - (progn (setq tmp2 (reverse tmp1)) t) - (pairp tmp2) - (progn - (setq tmp3 (qcar tmp2)) - (and (pairp tmp3) - (eq (qcar tmp3) '|:|) - (progn - (setq tmp4 (qcdr tmp3)) - (and (pairp tmp4) - (progn - (setq y (qcar tmp4)) - (setq tmp5 (qcdr tmp4)) - (and (pairp tmp5) - (eq (qcdr tmp5) nil) - (progn (setq tt (qcar tmp5)) t))))))) - (progn (setq l (qcdr tmp2)) t) - (progn (setq l (nreverse l)) t))) - (dolist (x l t) (unless (identp x) (return nil)))) - (setq u (list '|:| (cons 'listof (append l (list y))) tt))) - (|postTransformCheck| u) - (|aplTran| u))) +\defun{augModemapsFromDomain}{augModemapsFromDomain} +\calls{augModemapsFromDomain}{member} +\calls{augModemapsFromDomain}{kar} +\calls{augModemapsFromDomain}{getDomainsInScope} +\calls{augModemapsFromDomain}{getdatabase} +\calls{augModemapsFromDomain}{opOf} +\calls{augModemapsFromDomain}{addNewDomain} +\calls{augModemapsFromDomain}{listOrVectorElementNode} +\calls{augModemapsFromDomain}{stripUnionTags} +\calls{augModemapsFromDomain}{augModemapsFromDomain1} +\refsdollar{augModemapsFromDomain}{Category} +\refsdollar{augModemapsFromDomain}{DummyFunctorNames} +\begin{chunk}{defun augModemapsFromDomain} +(defun |augModemapsFromDomain| (name functorForm env) + (let (curDomainsInScope u innerDom) + (declare (special |$Category| |$DummyFunctorNames|)) + (cond + ((|member| (or (kar name) name) |$DummyFunctorNames|) + env) + ((or (equal name |$Category|) (|isCategoryForm| name env)) + env) + ((|member| name (setq curDomainsInScope (|getDomainsInScope| env))) + env) + (t + (when (setq u (getdatabase (|opOf| functorForm) 'superdomain)) + (setq env (|addNewDomain| (car u) env))) + (when (setq innerDom (|listOrVectorElementMode| name)) + (setq env (|addDomain| innerDom env))) + (when (and (consp name) (eq (qfirst name) '|Union|)) + (dolist (d (|stripUnionTags| (qrest name))) + (setq env (|addDomain| d env)))) + (|augModemapsFromDomain1| name functorForm env))))) \end{chunk} -\defun{postTran}{postTran} -\calls{postTran}{postAtom} -\calls{postTran}{postTran} -\calls{postTran}{pairp} -\calls{postTran}{qcar} -\calls{postTran}{qcdr} -\calls{postTran}{unTuple} -\calls{postTran}{postTranList} -\calls{postTran}{postForm} -\calls{postTran}{postOp} -\calls{postTran}{postScriptsForm} -\begin{chunk}{defun postTran} -(defun |postTran| (x) - (let (op f tmp1 a tmp2 tmp3 b y) - (if (atom x) - (|postAtom| x) - (progn - (setq op (car x)) - (cond - ((and (atom op) (setq f (getl op '|postTran|))) - (funcall f x)) - ((and (pairp op) (eq (qcar op) '|elt|) - (progn - (setq tmp1 (qcdr op)) - (and (pairp tmp1) - (progn - (setq a (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) - (progn (setq b (qcar tmp2)) t)))))) - (cons (|postTran| op) (cdr (|postTran| (cons b (cdr x)))))) - ((and (pairp op) (eq (qcar op) '|Scripts|)) - (|postScriptsForm| op - (dolist (y (rest x) tmp3) - (setq tmp3 (append tmp3 (|unTuple| (|postTran| y))))))) - ((nequal op (setq y (|postOp| op))) - (cons y (|postTranList| (cdr x)))) - (t (|postForm| x))))))) +\defun{augModemapsFromDomain1}{augModemapsFromDomain1} +\calls{augModemapsFromDomain1}{getl} +\calls{augModemapsFromDomain1}{kar} +\calls{augModemapsFromDomain1}{addConstructorModemaps} +\calls{augModemapsFromDomain1}{getmode} +\calls{augModemapsFromDomain1}{augModemapsFromCategory} +\calls{augModemapsFromDomain1}{getmodeOrMapping} +\calls{augModemapsFromDomain1}{substituteCategoryArguments} +\calls{augModemapsFromDomain1}{stackMessage} +\begin{chunk}{defun augModemapsFromDomain1} +(defun |augModemapsFromDomain1| (name functorForm env) + (let (mappingForm categoryForm functArgTypes catform) + (cond + ((getl (kar functorForm) '|makeFunctionList|) + (|addConstructorModemaps| name functorForm env)) + ((and (atom functorForm) (setq catform (|getmode| functorForm env))) + (|augModemapsFromCategory| name functorForm catform env)) + ((setq mappingForm (|getmodeOrMapping| (kar functorForm) env)) + (when (eq (car mappingForm) '|Mapping|) (car mappingForm)) + (setq categoryForm (cadr mappingForm)) + (setq functArgTypes (cddr mappingForm)) + (setq catform + (|substituteCategoryArguments| (cdr functorForm) categoryForm)) + (|augModemapsFromCategory| name functorForm catform env)) + (t + (|stackMessage| (list functorForm '| is an unknown mode|)) + env)))) \end{chunk} -\defun{postOp}{postOp} -\begin{chunk}{defun postOp} -(defun |postOp| (x) - (declare (special $boot)) - (cond - ((eq x '|:=|) (if $boot 'spadlet 'let)) - ((eq x '|:-|) 'letd) - ((eq x '|Attribute|) 'attribute) - (t x))) +\defun{substituteCategoryArguments}{substituteCategoryArguments} +\calls{substituteCategoryArguments}{msubst} +\calls{substituteCategoryArguments}{internl} +\calls{substituteCategoryArguments}{stringimage} +\calls{substituteCategoryArguments}{sublis} +\begin{chunk}{defun substituteCategoryArguments} +(defun |substituteCategoryArguments| (argl catform) + (let (arglAssoc (i 0)) + (setq argl (msubst '$$ '$ argl)) + (setq arglAssoc + (loop for a in argl + collect (cons (internl '|#| (stringimage (incf i))) a))) + (sublis arglAssoc catform))) \end{chunk} +\defun{addConstructorModemaps}{addConstructorModemaps} +\calls{addConstructorModemaps}{putDomainsInScope} +\calls{addConstructorModemaps}{getl} +\calls{addConstructorModemaps}{msubst} +\calls{addConstructorModemaps}{qcar} +\calls{addConstructorModemaps}{qcdr} +\calls{addConstructorModemaps}{addModemap} +\defsdollar{addConstructorModemaps}{InteractiveMode} +\begin{chunk}{defun addConstructorModemaps} +(defun |addConstructorModemaps| (name form env) + (let (|$InteractiveMode| functorName fn tmp1 funList op sig nsig opcode) + (declare (special |$InteractiveMode|)) + (setq functorName (car form)) + (setq |$InteractiveMode| nil) + (setq env (|putDomainsInScope| name env)) + (setq fn (getl functorName '|makeFunctionList|)) + (setq tmp1 (funcall fn name form env)) + (setq funList (car tmp1)) + (setq env (cadr tmp1)) + (dolist (item funList) + (setq op (first item)) + (setq sig (second item)) + (setq opcode (third item)) + (when (and (consp opcode) (consp (qrest opcode)) + (consp (qcddr opcode)) + (eq (qcdddr opcode) nil) + (eq (qfirst opcode) 'elt)) + (setq nsig (msubst '$$$ name sig)) + (setq nsig (msubst '$ '$$$ (msubst '$$ '$ nsig))) + (setq opcode (list (first opcode) (second opcode) nsig))) + (setq env (|addModemap| op name sig t opcode env))) + env)) -\defun{postAtom}{postAtom} -\usesdollar{postAtom}{boot} -\begin{chunk}{defun postAtom} -(defun |postAtom| (x) - (declare (special $boot)) +\end{chunk} + +\defun{getModemap}{getModemap} +\calls{getModemap}{get} +\calls{getModemap}{compApplyModemap} +\calls{getModemap}{sublis} +\begin{chunk}{defun getModemap} +(defun |getModemap| (x env) + (let (u) + (dolist (modemap (|get| (first x) '|modemap| env)) + (when (setq u (|compApplyModemap| x modemap env nil)) + (return (sublis (third u) modemap)))))) + +\end{chunk} + +\defun{compApplyModemap}{compApplyModemap} +\calls{compApplyModemap}{length} +\calls{compApplyModemap}{pmatchWithSl} +\calls{compApplyModemap}{sublis} +\calls{compApplyModemap}{comp} +\calls{compApplyModemap}{coerce} +\calls{compApplyModemap}{compMapCond} +\calls{compApplyModemap}{member} +\calls{compApplyModemap}{genDeltaEntry} +\refsdollar{compApplyModemap}{e} +\refsdollar{compApplyModemap}{bindings} +\defsdollar{compApplyModemap}{e} +\defsdollar{compApplyModemap}{bindings} +\begin{chunk}{defun compApplyModemap} +(defun |compApplyModemap| (form modemap |$e| sl) + (declare (special |$e|)) + (let (op argl mc mr margl fnsel g mp lt ltp temp1 f) + (declare (special |$bindings| |$e|)) + ; -- $e is the current environment + ; -- sl substitution list, nil means bottom-up, otherwise top-down + ; -- 0. fail immediately if #argl=#margl + (setq op (car form)) + (setq argl (cdr form)) + (setq mc (caar modemap)) + (setq mr (cadar modemap)) + (setq margl (cddar modemap)) + (setq fnsel (cdr modemap)) + (when (= (|#| argl) (|#| margl)) + ; 1. use modemap to evaluate arguments, returning failed if not possible + (setq lt + (prog (t0) + (return + (do ((t1 argl (cdr t1)) (y NIL) (t2 margl (cdr t2)) (m nil)) + ((or (atom t1) (atom t2)) (nreverse0 t0)) + (setq y (car t1)) + (setq m (car t2)) + (setq t0 + (cons + (progn + (setq sl (|pmatchWithSl| mp m sl)) + (setq g (sublis sl m)) + (setq temp1 (or (|comp| y g |$e|) (return '|failed|))) + (setq mp (cadr temp1)) + (setq |$e| (caddr temp1)) + temp1) + t0))))))) + ; 2. coerce each argument to final domain, returning failed + ; if not possible + (unless (eq lt '|failed|) + (setq ltp + (loop for y in lt for d in (sublis sl margl) + collect (or (|coerce| y d) (return '|failed|)))) + (unless (eq ltp '|failed|) + ; 3. obtain domain-specific function, if possible, and return + ; $bindings is bound by compMapCond + (setq temp1 (|compMapCond| op mc sl fnsel)) + (when temp1 + ; can no longer trust what the modemap says for a reference into + ; an exterior domain (it is calculating the displacement based on view + ; information which is no longer valid; thus ignore this index and + ; store the signature instead. + (setq f (car temp1)) + (setq |$bindings| (cadr temp1)) + (if (and (consp f) (consp (qcdr f)) (consp (qcddr f)) ; f is [op1,.] + (eq (qcdddr f) nil) + (|member| (qcar f) '(elt const |Subsumed|))) + (list (|genDeltaEntry| (cons op modemap)) ltp |$bindings|) + (list f ltp |$bindings|)))))))) + +\end{chunk} + +\defun{compMapCond}{compMapCond} +\calls{compMapCond}{compMapCond'} +\refsdollar{compMapCond}{bindings} +\begin{chunk}{defun compMapCond} +(defun |compMapCond| (op mc |$bindings| fnsel) + (declare (special |$bindings|)) + (let (t0) + (do ((t1 nil t0) (t2 fnsel (cdr t2)) (u nil)) + ((or t1 (atom t2) (progn (setq u (car t2)) nil)) t0) + (setq t0 (or t0 (|compMapCond'| u op mc |$bindings|)))))) + +\end{chunk} + +\defun{compMapCond'}{compMapCond'} +\calls{compMapCond'}{compMapCond''} +\calls{compMapCond'}{compMapConfFun} +\calls{compMapCond'}{stackMessage} +\begin{chunk}{defun compMapCond'} +(defun |compMapCond'| (t0 op dc bindings) + (let ((cexpr (car t0)) (fnexpr (cadr t0))) + (if (|compMapCond''| cexpr dc) + (|compMapCondFun| fnexpr op dc bindings) + (|stackMessage| `("not known that" %b ,dc %d "has" %b ,cexpr %d))))) + +\end{chunk} + +\defun{compMapCond''}{compMapCond''} +\calls{compMapCond''}{compMapCond''} +\calls{compMapCond''}{knownInfo} +\calls{compMapCond''}{get} +\calls{compMapCond''}{stackMessage} +\refsdollar{compMapCond''}{Information} +\refsdollar{compMapCond''}{e} +\begin{chunk}{defun compMapCond''} +(defun |compMapCond''| (cexpr dc) + (let (l u tmp1 tmp2) + (declare (special |$Information| |$e|)) (cond - ($boot x) - ((eql x 0) '(|Zero|)) - ((eql x 1) '(|One|)) - ((eq x t) 't$) - ((and (identp x) (getdatabase x 'niladic)) (list x)) - (t x))) + ((eq cexpr t) t) + ((and (consp cexpr) + (eq (qcar cexpr) 'and) + (progn (setq l (qcdr cexpr)) t)) + (prog (t0) + (setq t0 t) + (return + (do ((t1 nil (null t0)) (t2 l (cdr t2)) (u nil)) + ((or t1 (atom t2) (progn (setq u (car t2)) nil)) t0) + (setq t0 (and t0 (|compMapCond''| u dc))))))) + ((and (consp cexpr) + (eq (qcar cexpr) 'or) + (progn (setq l (qcdr cexpr)) t)) + (prog (t3) + (setq t3 nil) + (return + (do ((t4 nil t3) (t5 l (cdr t5)) (u nil)) + ((or t4 (atom t5) (progn (setq u (car t5)) nil)) t3) + (setq t3 (or t3 (|compMapCond''| u dc))))))) + ((and (consp cexpr) + (eq (qcar cexpr) '|not|) + (progn + (setq tmp1 (qcdr cexpr)) + (and (consp tmp1) + (eq (qcdr tmp1) nil) + (progn (setq u (qcar tmp1)) t)))) + (null (|compMapCond''| u dc))) + ((and (consp cexpr) + (eq (qcar cexpr) '|has|) + (progn + (setq tmp1 (qcdr cexpr)) + (and (consp tmp1) + (progn + (setq tmp2 (qcdr tmp1)) + (and (consp tmp2) + (eq (qcdr tmp2) nil)))))) + (cond + ((|knownInfo| cexpr) t) + (t nil))) + ((|member| + (cons 'attribute (cons dc (cons cexpr nil))) + (|get| '|$Information| 'special |$e|)) + t) + (t + (|stackMessage| `("not known that" %b ,dc %d "has" %b ,cexpr %d)) + nil)))) \end{chunk} -\defun{postTranList}{postTranList} -\calls{postTranList}{postTran} -\begin{chunk}{defun postTranList} -(defun |postTranList| (x) - (loop for y in x collect (|postTran| y))) +\defun{compMapCondFun}{compMapCondFun} +\begin{chunk}{defun compMapCondFun} +(defun |compMapCondFun| (fnexpr op dc bindings) + (declare (ignore op) (ignore dc)) + (cons fnexpr (cons bindings nil))) \end{chunk} -\defun{postScriptsForm}{postScriptsForm} -\calls{postScriptsForm}{getScriptName} -\calls{postScriptsForm}{length} -\calls{postScriptsForm}{postTranScripts} -\begin{chunk}{defun postScriptsForm} -(defun |postScriptsForm| (arg0 argl) - (let ((op (second arg0)) (a (third arg0))) - (cons (|getScriptName| op a (|#| argl)) - (append (|postTranScripts| a) argl)))) +\defun{getUniqueSignature}{getUniqueSignature} +\calls{getUniqueSignature}{getUniqueModemap} +\begin{chunk}{defun getUniqueSignature} +(defun |getUniqueSignature| (form env) + (cdar (|getUniqueModemap| (first form) (|#| (rest form)) env))) \end{chunk} -\defun{postTranScripts}{postTranScripts} -\calls{postTranScripts}{postTranScripts} -\calls{postTranScripts}{postTran} -\begin{chunk}{defun postTranScripts} -(defun |postTranScripts| (a) - (labels ( - (fn (x) - (if (and (pairp x) (eq (qcar x) '|@Tuple|)) - (qcdr x) - (list x)))) - (let (tmp1 tmp2 tmp3) +\defun{getUniqueModemap}{getUniqueModemap} +\calls{getUniqueModemap}{getModemapList} +\calls{getUniqueModemap}{qslessp} +\calls{getUniqueModemap}{stackWarning} +\begin{chunk}{defun getUniqueModemap} +(defun |getUniqueModemap| (op numOfArgs env) + (let (mml) (cond - ((and (pairp a) (eq (qcar a) '|PrefixSC|) - (progn - (setq tmp1 (qcdr a)) - (and (pairp tmp1) (eq (qcdr tmp1) nil)))) - (|postTranScripts| (qcar tmp1))) - ((and (pairp a) (eq (qcar a) '|;|)) - (dolist (y (qcdr a) tmp2) - (setq tmp2 (append tmp2 (|postTranScripts| y))))) - ((and (pairp a) (eq (qcar a) '|,|)) - (dolist (y (qcdr a) tmp3) - (setq tmp3 (append tmp3 (fn (|postTran| y)))))) - (t (list (|postTran| a))))))) + ((eql 1 (|#| (setq mml (|getModemapList| op numOfArgs env)))) + (car mml)) + ((qslessp 1 (|#| mml)) + (|stackWarning| + (list numOfArgs " argument form of: " op " has more than one modemap")) + (car mml)) + (t nil)))) \end{chunk} -\defun{postTransformCheck}{postTransformCheck} -\calls{postTransformCheck}{postcheck} -\usesdollar{postTransformCheck}{defOp} -\begin{chunk}{defun postTransformCheck} -(defun |postTransformCheck| (x) - (let (|$defOp|) - (declare (special |$defOp|)) - (setq |$defOp| nil) - (|postcheck| x))) +\defun{getModemapList}{getModemapList} +\calls{getModemapList}{qcar} +\calls{getModemapList}{qcdr} +\calls{getModemapList}{getModemapListFromDomain} +\calls{getModemapList}{nreverse0} +\calls{getModemapList}{get} +\begin{chunk}{defun getModemapList} +(defun |getModemapList| (op numOfArgs env) + (let (result) + (cond + ((and (consp op) (eq (qfirst op) '|elt|) (consp (qrest op)) + (consp (qcddr op)) (eq (qcdddr op) nil)) + (|getModemapListFromDomain| (third op) numOfArgs (second op) env)) + (t + (dolist (term (|get| op '|modemap| env) (nreverse0 result)) + (when (eql numOfArgs (|#| (cddar term))) (push term result))))))) \end{chunk} -\defun{postcheck}{postcheck} -\calls{postcheck}{setDefOp} -\calls{postcheck}{postcheck} -\begin{chunk}{defun postcheck} -(defun |postcheck| (x) - (cond - ((atom x) nil) - ((and (pairp x) (eq (qcar x) 'def) (pairp (qcdr x))) - (|setDefOp| (qcar (qcdr x))) - (|postcheck| (qcdr (qcdr x)))) - ((and (pairp x) (eq (qcar x) 'quote)) nil) - (t (|postcheck| (car x)) (|postcheck| (cdr x))))) - +\defun{getModemapListFromDomain}{getModemapListFromDomain} +\calls{getModemapListFromDomain}{get} +\begin{chunk}{defun getModemapListFromDomain} +(defun |getModemapListFromDomain| (op numOfArgs d env) + (loop for term in (|get| op '|modemap| env) + when (and (equal (caar term) d) (eql (|#| (cddar term)) numOfArgs)) + collect term)) + \end{chunk} -\defun{postError}{postError} -\calls{postError}{nequal} -\calls{postError}{bumperrorcount} -\usesdollar{postError}{defOp} -\usesdollar{postError}{InteractiveMode} -\usesdollar{postError}{postStack} -\begin{chunk}{defun postError} -(defun |postError| (msg) - (let (xmsg) - (declare (special |$defOp| |$postStack| |$InteractiveMode|)) - (bumperrorcount '|precompilation|) - (setq xmsg - (if (and (nequal |$defOp| '|$defOp|) (null |$InteractiveMode|)) - (cons |$defOp| (cons ": " msg)) - msg)) - (push xmsg |$postStack|) - nil)) +\defun{domainMember}{domainMember} +\calls{domainMember}{modeEqual} +\begin{chunk}{defun domainMember} +(defun |domainMember| (dom domList) + (let (result) + (dolist (d domList result) + (setq result (or result (|modeEqual| dom d)))))) \end{chunk} -\defun{postForm}{postForm} -\calls{postForm}{postTranList} -\calls{postForm}{internl} -\calls{postForm}{postTran} -\calls{postForm}{postError} -\calls{postForm}{bright} -\usesdollar{postForm}{boot} -\begin{chunk}{defun postForm} -(defun |postForm| (u) - (let (op argl arglp numOfArgs opp x) - (declare (special $boot)) - (seq - (setq op (car u)) - (setq argl (cdr u)) - (setq x - (cond - ((atom op) - (setq arglp (|postTranList| argl)) - (setq opp - (seq - (exit op) - (when $boot (exit op)) - (when (or (getl op '|Led|) (getl op '|Nud|) (eq op 'in)) (exit op)) - (setq numOfArgs - (cond - ((and (pairp arglp) (eq (qcdr arglp) nil) (pairp (qcar arglp)) - (eq (qcar (qcar arglp)) '|@Tuple|)) - (|#| (qcdr (qcar arglp)))) - (t 1))) - (internl '* (princ-to-string numOfArgs) (pname op)))) - (cons opp arglp)) - ((and (pairp op) (eq (qcar op) '|Scripts|)) - (append (|postTran| op) (|postTranList| argl))) - (t - (setq u (|postTranList| u)) - (cond - ((and (pairp u) (pairp (qcar u)) (eq (qcar (qcar u)) '|@Tuple|)) - (|postError| - (cons " " - (append (|bright| u) - (list "is illegal because tuples cannot be applied!" '|%l| - " Did you misuse infix dot?")))))) - u))) - (cond - ((and (pairp x) (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil) - (pairp (qcar (qcdr x))) (eq (qcar (qcar (qcdr x))) '|@Tuple|)) - (cons (car x) (qcdr (qcar (qcdr x))))) - (t x))))) +\defun{augModemapsFromCategory}{augModemapsFromCategory} +\calls{augModemapsFromCategory}{evalAndSub} +\calls{augModemapsFromCategory}{compilerMessage} +\calls{augModemapsFromCategory}{putDomainsInScope} +\calls{augModemapsFromCategory}{addModemapKnown} +\defsdollar{augModemapsFromCategory}{base} +\begin{chunk}{defun augModemapsFromCategory} +(defun |augModemapsFromCategory| (domainName functorform categoryForm env) + (let (tmp1 op sig cond fnsel) + (declare (special |$base|)) + (setq tmp1 (|evalAndSub| domainName domainName functorform categoryForm env)) + (|compilerMessage| (list '|Adding | domainName '| modemaps|)) + (setq env (|putDomainsInScope| domainName (second tmp1))) + (setq |$base| 4) + (dolist (u (first tmp1)) + (setq op (caar u)) + (setq sig (cadar u)) + (setq cond (cadr u)) + (setq fnsel (caddr u)) + (setq env (|addModemapKnown| op domainName sig cond fnsel env))) + env)) \end{chunk} -\section{Indirect called postparse routines} -In the {\bf postTran} function there is the code: -\begin{verbatim} - ((and (atom op) (setq f (getl op '|postTran|))) - (funcall f x)) -\end{verbatim} +\defun{addEltModemap}{addEltModemap} +This is a hack to change selectors from strings to identifiers; and to +add flag identifiers as literals in the environment +\calls{addEltModemap}{qcar} +\calls{addEltModemap}{qcdr} +\calls{addEltModemap}{makeLiteral} +\calls{addEltModemap}{addModemap1} +\calls{addEltModemap}{systemErrorHere} +\refsdollar{addEltModemap}{insideCapsuleFunctionIfTrue} +\defsdollar{addEltModemap}{e} +\begin{chunk}{defun addEltModemap} +(defun |addEltModemap| (op mc sig pred fn env) + (let (tmp1 v sel lt id) + (declare (special |$e| |$insideCapsuleFunctionIfTrue|)) + (cond + ((and (eq op '|elt|) (consp sig)) + (setq tmp1 (reverse sig)) + (setq sel (qfirst tmp1)) + (setq lt (nreverse (qrest tmp1))) + (cond + ((stringp sel) + (setq id (intern sel)) + (if |$insideCapsuleFunctionIfTrue| + (setq |$e| (|makeLiteral| id |$e|)) + (setq env (|makeLiteral| id env))) + (|addModemap1| op mc (append lt (list id)) pred fn env)) + (t (|addModemap1| op mc sig pred fn env)))) + ((and (eq op '|setelt|) (consp sig)) + (setq tmp1 (reverse sig)) + (setq v (qfirst tmp1)) + (setq sel (qsecond tmp1)) + (setq lt (nreverse (qcddr tmp1))) + (cond + ((stringp sel) (setq id (intern sel)) + (if |$insideCapsuleFunctionIfTrue| + (setq |$e| (|makeLiteral| id |$e|)) + (setq env (|makeLiteral| id env))) + (|addModemap1| op mc (append lt (list id v)) pred fn env)) + (t (|addModemap1| op mc sig pred fn env)))) + (t (|systemErrorHere| "addEltModemap"))))) -The functions in this section are called through the symbol-plist -of the symbol being parsed. The original list read: +\end{chunk} -\begin{verbatim} - add postAdd - @ postAtSign - :BF: postBigFloat - Block postBlock - CATEGORY postCategory - COLLECT postCollect - : postColon - :: postColonColon - , postComma - construct postConstruct - == postDef - => postExit - if postIf - in postin ;" the infix operator version of in" - IN postIn ;" the iterator form of in" - Join postJoin - -> postMapping - ==> postMDef - pretend postPretend - QUOTE postQUOTE - Reduce postReduce - REPEAT postRepeat - Scripts postScripts - ; postSemiColon - Signature postSignature - / postSlash - @Tuple postTuple - TupleCollect postTupleCollect - where postWhere - with postWith -\end{verbatim} +\defun{mkNewModemapList}{mkNewModemapList} +\calls{mkNewModemapList}{member} +\calls{mkNewModemapList}{assoc} +\calls{mkNewModemapList}{qcar} +\calls{mkNewModemapList}{qcdr} +\calls{mkNewModemapList}{mergeModemap} +\calls{mkNewModemapList}{nequal} +\calls{mkNewModemapList}{nreverse0} +\calls{mkNewModemapList}{insertModemap} +\refsdollar{mkNewModemapList}{InteractiveMode} +\refsdollar{mkNewModemapList}{forceAdd} +\begin{chunk}{defun mkNewModemapList} +(defun |mkNewModemapList| (mc sig pred fn curModemapList env filenameOrNil) + (let (map entry oldMap opred result) + (declare (special |$InteractiveMode| |$forceAdd|)) + (setq entry + (cons (setq map (cons mc sig)) (cons (list pred fn) filenameOrNil))) + (cond + ((|member| entry curModemapList) curModemapList) + ((and (setq oldMap (|assoc| map curModemapList)) + (consp oldMap) (consp (qrest oldMap)) + (consp (qsecond oldMap)) + (consp (qcdadr oldMap)) + (eq (qcddadr oldMap) nil) + (equal (qcadadr oldMap) fn)) + (setq opred (qcaadr oldMap)) + (cond + (|$forceAdd| (|mergeModemap| entry curModemapList env)) + ((eq opred t) curModemapList) + (t + (when (and (nequal pred t) (nequal pred opred)) + (setq pred (list 'or pred opred))) + (dolist (x curModemapList (nreverse0 result)) + (push + (if (equal x oldMap) + (cons map (cons (list pred fn) filenameOrNil)) + x) + result))))) + (|$InteractiveMode| + (|insertModemap| entry curModemapList)) + (t + (|mergeModemap| entry curModemapList env))))) -\defplist{add}{postAdd} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|add| '|postTran|) '|postAdd|)) +\end{chunk} + +\defun{insertModemap}{insertModemap} +\begin{chunk}{defun insertModemap} +(defun |insertModemap| (new mmList) + (if (null mmList) (list new) (cons new mmList))) \end{chunk} -\defun{postAdd}{postAdd} -\calls{postAdd}{postTran} -\calls{postAdd}{postCapsule} -\begin{chunk}{defun postAdd} -(defun |postAdd| (arg) - (if (null (cddr arg)) - (|postCapsule| (second arg)) - (list '|add| (|postTran| (second arg)) (|postCapsule| (third arg))))) +\defun{mergeModemap}{mergeModemap} +\calls{mergeModemap}{isSuperDomain} +\calls{mergeModemap}{TruthP} +\refsdollar{mergeModemap}{forceAdd} +\begin{chunk}{defun mergeModemap} +(defun |mergeModemap| (entry modemapList env) + (let (mc sig pred mcp sigp predp newmm mm) + (declare (special |$forceAdd|)) + ; break out the condition, signature, and predicate fields of the new entry + (setq mc (caar entry)) + (setq sig (cdar entry)) + (setq pred (caadr entry)) + (seq + ; walk across the successive tails of the modemap list + (do ((mmtail modemapList (cdr mmtail))) + ((atom mmtail) nil) + (setq mcp (caaar mmtail)) + (setq sigp (cdaar mmtail)) + (setq predp (caadar mmtail)) + (cond + ((or (equal mc mcp) (|isSuperDomain| mcp mc env)) + ; if this is a duplicate condition + (exit + (progn + (setq newmm nil) + (setq mm modemapList) + ; copy the unique modemap terms + (loop while (not (eq mm mmtail)) do + (setq newmm (cons (car mm) newmm)) + (setq mm (cdr mm))) + ; if the conditions and signatures are equal + (when (and (equal mc mcp) (equal sig sigp)) + ; we only need one of these unless the conditions are hairy + (cond + ((and (null |$forceAdd|) (|TruthP| predp)) + ; the new predicate buys us nothing + (setq entry nil) + (return modemapList)) + ((|TruthP| pred) + ; the thing we matched against is useless, by comparison + (setq mmtail (cdr mmtail))))) + (setq modemapList (nconc (nreverse newmm) (cons entry mmtail))) + (setq entry nil) + (return modemapList)))))) + ; if the entry is still defined, add it to the modemap + (if entry + (append modemapList (list entry)) + modemapList)))) \end{chunk} -\defun{postCapsule}{postCapsule} -\calls{postCapsule}{checkWarning} -\calls{postCapsule}{postBlockItem} -\calls{postCapsule}{postBlockItemList} -\calls{postCapsule}{postFlatten} -\begin{chunk}{defun postCapsule} -(defun |postCapsule| (x) - (let (op) - (cond - ((null (and (pairp x) (progn (setq op (qcar x)) t))) - (|checkWarning| (list "Apparent indentation error following add"))) - ((or (integerp op) (eq op '==)) - (list 'capsule (|postBlockItem| x))) - ((eq op '|;|) - (cons 'capsule (|postBlockItemList| (|postFlatten| x '|;|)))) - ((eq op '|if|) - (list 'capsule (|postBlockItem| x))) - (t (|checkWarning| (list "Apparent indentation error following add")))))) +\defun{TruthP}{TruthP} +\calls{TruthP}{qcar} +\begin{chunk}{defun TruthP} +(defun |TruthP| (x) + (cond + ((null x) nil) + ((eq x t) t) + ((and (consp x) (eq (qfirst x) 'quote)) t) + (t nil))) \end{chunk} -\defun{postBlockItemList}{postBlockItemList} -\calls{postBlockItemList}{postBlockItem} -\begin{chunk}{defun postBlockItemList} -(defun |postBlockItemList| (args) - (let (result) - (dolist (item args (nreverse result)) - (push (|postBlockItem| item) result)))) +\defun{evalAndSub}{evalAndSub} +\calls{evalAndSub}{isCategory} +\calls{evalAndSub}{substNames} +\calls{evalAndSub}{contained} +\calls{evalAndSub}{put} +\calls{evalAndSub}{get} +\calls{evalAndSub}{getOperationAlist} +\defsdollar{evalAndSub}{lhsOfColon} +\begin{chunk}{defun evalAndSub} +(defun |evalAndSub| (domainName viewName functorForm form |$e|) + (declare (special |$e|)) + (let (|$lhsOfColon| opAlist substAlist) + (declare (special |$lhsOfColon|)) + (setq |$lhsOfColon| domainName) + (cond + ((|isCategory| form) + (list (|substNames| domainName viewName functorForm (elt form 1)) |$e|)) + (t + (when (contained '$$ form) + (setq |$e| (|put| '$$ '|mode| (|get| '$ '|mode| |$e|) |$e|))) + (setq opAlist (|getOperationAlist| domainName functorForm form)) + (setq substAlist (|substNames| domainName viewName functorForm opAlist)) + (list substAlist |$e|))))) \end{chunk} -\defplist{@}{postAtSign} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '@ '|postTran|) '|postAtSign|)) +\defun{getOperationAlist}{getOperationAlist} +\calls{getOperationAlist}{getdatabase} +\calls{getOperationAlist}{isFunctor} +\calls{getOperationAlist}{systemError} +\calls{getOperationAlist}{compMakeCategoryObject} +\calls{getOperationAlist}{stackMessage} +\usesdollar{getOperationAlist}{e} +\usesdollar{getOperationAlist}{domainShell} +\usesdollar{getOperationAlist}{insideFunctorIfTrue} +\usesdollar{getOperationAlist}{functorForm} +\begin{chunk}{defun getOperationAlist} +(defun |getOperationAlist| (name functorForm form) + (let (u tt) + (declare (special |$e| |$domainShell| |$insideFunctorIfTrue| |$functorForm|)) + (when (and (atom name) (getdatabase name 'niladic)) + (setq functorform (list functorForm))) + (cond + ((and (setq u (|isFunctor| functorForm)) + (null (and |$insideFunctorIfTrue| + (equal (first functorForm) (first |$functorForm|))))) + u) + ((and |$insideFunctorIfTrue| (eq name '$)) + (if |$domainShell| + (elt |$domainShell| 1) + (|systemError| "$ has no shell now"))) + ((setq tt (|compMakeCategoryObject| form |$e|)) + (setq |$e| (third tt)) + (elt (first tt) 1)) + (t + (|stackMessage| (list '|not a category form: | form)))))) \end{chunk} -\defun{postAtSign}{postAtSign} -\calls{postAtSign}{postTran} -\calls{postAtSign}{postType} -\begin{chunk}{defun postAtSign} -(defun |postAtSign| (arg) - (cons '@ (cons (|postTran| (second arg)) (|postType| (third arg))))) +\defdollar{FormalMapVariableList} +\begin{chunk}{initvars} +(defvar |$FormalMapVariableList| + '(\#1 \#2 \#3 \#4 \#5 \#6 \#7 \#8 \#9 \#10 \#11 \#12 \#13 \#14 \#15)) \end{chunk} -\defun{postType}{postType} -\calls{postType}{postTran} -\calls{postType}{unTuple} -\begin{chunk}{defun postType} -(defun |postType| (typ) - (let (source target) - (cond - ((and (pairp typ) (eq (qcar typ) '->) (pairp (qcdr typ)) - (pairp (qcdr (qcdr typ))) (eq (qcdr (qcdr (qcdr typ))) nil)) - (setq source (qcar (qcdr typ))) - (setq target (qcar (qcdr (qcdr typ)))) - (cond - ((eq source '|constant|) - (list (list (|postTran| target)) '|constant|)) - (t - (list (cons '|Mapping| - (cons (|postTran| target) - (|unTuple| (|postTran| source)))))))) - ((and (pairp typ) (eq (qcar typ) '->) - (pairp (qcdr typ)) (eq (qcdr (qcdr typ)) nil)) - (list (list '|Mapping| (|postTran| (qcar (qcdr typ)))))) - (t (list (|postTran| typ)))))) +\defun{substNames}{substNames} +\calls{substNames}{substq} +\calls{substNames}{isCategoryPackageName} +\calls{substNames}{eqsubstlist} +\calls{substNames}{nreverse0} +\usesdollar{substNames}{FormalMapVariableList} +\begin{chunk}{defun substNames} +(defun |substNames| (domainName viewName functorForm opalist) + (let (nameForDollar sel pos modemapform tmp0 tmp1) + (declare (special |$FormalMapVariableList|)) + (setq functorForm (substq '$$ '$ functorForm)) + (setq nameForDollar + (if (|isCategoryPackageName| functorForm) + (second functorForm) + domainName)) +; following calls to SUBSTQ must copy to save RPLAC's in +; putInLocalDomainReferences + (dolist (term + (eqsubstlist (kdr functorForm) |$FormalMapVariableList| opalist) + (nreverse0 tmp0)) + (setq tmp1 (reverse term)) + (setq sel (caar tmp1)) + (setq pos (caddar tmp1)) + (setq modemapform (nreverse (cdr tmp1))) + (push + (append + (substq '$ '$$ (substq nameForDollar '$ modemapform)) + (list + (list sel viewName (if (eq domainName '$) pos (cadar modemapform))))) + tmp0)))) \end{chunk} -\defplist{:BF:}{postBigFloat} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|:BF:| '|postTran|) '|postBigFloat|)) +\defun{augModemapsFromCategoryRep}{augModemapsFromCategoryRep} +\calls{augModemapsFromCategoryRep}{evalAndSub} +\calls{augModemapsFromCategoryRep}{isCategory} +\calls{augModemapsFromCategoryRep}{compilerMessage} +\calls{augModemapsFromCategoryRep}{putDomainsInScope} +\calls{augModemapsFromCategoryRep}{assoc} +\calls{augModemapsFromCategoryRep}{msubst} +\calls{augModemapsFromCategoryRep}{addModemap} +\defsdollar{augModemapsFromCategoryRep}{base} +\begin{chunk}{defun augModemapsFromCategoryRep} +(defun |augModemapsFromCategoryRep| + (domainName repDefn functorBody categoryForm env) + (labels ( + (redefinedList (op z) + (let (result) + (dolist (u z result) + (setq result (or result (redefined op u)))))) + (redefined (opname u) + (let (op z result) + (when (consp u) + (setq op (qfirst u)) + (setq z (qrest u)) + (cond + ((eq op 'def) (equal opname (caar z))) + ((member op '(progn seq)) (redefinedList opname z)) + ((eq op 'cond) + (dolist (v z result) + (setq result (or result (redefinedList opname (cdr v))))))))))) + (let (fnAlist tmp1 repFnAlist catform lhs op sig cond fnsel u) + (declare (special |$base|)) + (setq tmp1 (|evalAndSub| domainName domainName domainName categoryForm env)) + (setq fnAlist (car tmp1)) + (setq env (cadr tmp1)) + (setq tmp1 (|evalAndSub| '|Rep| '|Rep| repDefn (|getmode| repDefn env) env)) + (setq repFnAlist (car tmp1)) + (setq env (cadr tmp1)) + (setq catform + (if (|isCategory| categoryForm) (elt categoryForm 0) categoryForm)) + (|compilerMessage| (list '|Adding | domainName '| modemaps|)) + (setq env (|putDomainsInScope| domainName env)) + (setq |$base| 4) + (dolist (term fnAlist) + (setq lhs (car term)) + (setq op (caar term)) + (setq sig (cadar term)) + (setq cond (cadr term)) + (setq fnsel (caddr term)) + (setq u (|assoc| (msubst '|Rep| domainName lhs) repFnAlist)) + (if (and u (null (redefinedList op functorBody))) + (setq env (|addModemap| op domainName sig cond (caddr u) env)) + (setq env (|addModemap| op domainName sig cond fnsel env)))) + env))) \end{chunk} -\defun{postBigFloat}{postBigFloat} -\calls{postBigFloat}{postTran} -\usesdollar{postBigFloat}{boot} -\usesdollar{postBigFloat}{InteractiveMode} -\begin{chunk}{defun postBigFloat} -(defun |postBigFloat| (arg) - (let (mant expon eltword) - (declare (special $boot |$InteractiveMode|)) - (setq mant (second arg)) - (setq expon (cddr arg)) - (if $boot - (times (float mant) (expt (float 10) expon)) +\section{Maintaining Modemaps} +\defun{addModemapKnown}{addModemapKnown} +\calls{addModemapKnown}{addModemap0} +\refsdollar{addModemapKnown}{e} +\refsdollar{CapsuleModemapFrame}{insideCapsuleFunctionIfTrue} +\defsdollar{addModemapKnown}{CapsuleModemapFrame} +\begin{chunk}{defun addModemapKnown} +(defun |addModemapKnown| (op mc sig pred fn |$e|) + (declare (special |$e| |$CapsuleModemapFrame| |$insideCapsuleFunctionIfTrue|)) + (if (eq |$insideCapsuleFunctionIfTrue| t) (progn - (setq eltword (if |$InteractiveMode| '|$elt| '|elt|)) - (|postTran| - (list (list eltword '(|Float|) '|float|) - (list '|,| (list '|,| mant expon) 10))))))) - -\end{chunk} - -\defplist{Block}{postBlock} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Block| '|postTran|) '|postBlock|)) + (setq |$CapsuleModemapFrame| + (|addModemap0| op mc sig pred fn |$CapsuleModemapFrame|)) + |$e|) + (|addModemap0| op mc sig pred fn |$e|))) \end{chunk} -\defun{postBlock}{postBlock} -\calls{postBlock}{postBlockItemList} -\calls{postBlock}{postTran} -\begin{chunk}{defun postBlock} -(defun |postBlock| (arg) - (let (tmp1 x y) - (setq tmp1 (reverse (cdr arg))) - (setq x (car tmp1)) - (setq y (nreverse (cdr tmp1))) - (cons 'seq - (append (|postBlockItemList| y) (list (list '|exit| (|postTran| x))))))) +\defun{addModemap}{addModemap} +\calls{addModemap}{addModemap0} +\calls{addModemap}{knownInfo} +\refsdollar{addModemap}{e} +\refsdollar{addModemap}{InteractiveMode} +\refsdollar{addModemap}{insideCapsuleFunctionIfTrue} +\refsdollar{addModemap}{CapsuleModemapFrame} +\defsdollar{addModemap}{CapsuleModemapFrame} +\begin{chunk}{defun addModemap} +(defun |addModemap| (op mc sig pred fn |$e|) + (declare (special |$e| |$CapsuleModemapFrame| |$InteractiveMode| + |$insideCapsuleFunctionIfTrue|)) + (cond + (|$InteractiveMode| |$e|) + (t + (when (|knownInfo| pred) (setq pred t)) + (cond + ((eq |$insideCapsuleFunctionIfTrue| t) + (setq |$CapsuleModemapFrame| + (|addModemap0| op mc sig pred fn |$CapsuleModemapFrame|)) + |$e|) + (t + (|addModemap0| op mc sig pred fn |$e|)))))) \end{chunk} -\defplist{category}{postCategory} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'category '|postTran|) '|postCategory|)) +\defun{addModemap0}{addModemap0} +\calls{addModemap0}{qcar} +\calls{addModemap0}{addEltModemap} +\calls{addModemap0}{addModemap1} +\refsdollar{addModemap0}{functorForm} +\begin{chunk}{defun addModemap0} +(defun |addModemap0| (op mc sig pred fn env) + (declare (special |$functorForm|)) + (cond + ((and (consp |$functorForm|) + (eq (qfirst |$functorForm|) '|CategoryDefaults|) + (eq mc '$)) + env) + ((or (eq op '|elt|) (eq op '|setelt|)) + (|addEltModemap| op mc sig pred fn env)) + (t (|addModemap1| op mc sig pred fn env)))) \end{chunk} -\defun{postCategory}{postCategory} -\calls{postCategory}{postTran} -\calls{postCategory}{nreverse0} -\usesdollar{postCategory}{insidePostCategoryIfTrue} -\begin{chunk}{defun postCategory} -(defun |postCategory| (u) - (declare (special |$insidePostCategoryIfTrue|)) - (labels ( - (fn (arg) - (let (|$insidePostCategoryIfTrue|) - (declare (special |$insidePostCategoryIfTrue|)) - (setq |$insidePostCategoryIfTrue| t) - (|postTran| arg))) ) - (let ((z (cdr u)) op tmp1) - (if (null z) - u - (progn - (setq op (if |$insidePostCategoryIfTrue| 'progn 'category)) - (cons op (dolist (x z (nreverse0 tmp1)) (push (fn x) tmp1)))))))) +\defun{addModemap1}{addModemap1} +\calls{addModemap1}{msubst} +\calls{addModemap1}{getProplist} +\calls{addModemap1}{mkNewModemapList} +\calls{addModemap1}{lassoc} +\calls{addModemap1}{augProplist} +\calls{addModemap1}{unErrorRef} +\calls{addModemap1}{addBinding} +\begin{chunk}{defun addModemap1} +(defun |addModemap1| (op mc sig pred fn env) + (let (currentProplist newModemapList newProplist newProplistp) + (when (eq mc '|Rep|) (setq sig (msubst '$ '|Rep| sig))) + (setq currentProplist (or (|getProplist| op env) nil)) + (setq newModemapList + (|mkNewModemapList| mc sig pred fn + (lassoc '|modemap| currentProplist) env nil)) + (setq newProplist (|augProplist| currentProplist '|modemap| newModemapList)) + (setq newProplistp (|augProplist| newProplist 'fluid t)) + (|unErrorRef| op) + (|addBinding| op newProplistp env))) \end{chunk} -\defun{postCollect,finish}{postCollect,finish} -\calls{postCollect,finish}{qcar} -\calls{postCollect,finish}{qcdr} -\calls{postCollect,finish}{postMakeCons} -\calls{postCollect,finish}{tuple2List} -\calls{postCollect,finish}{postTranList} -\begin{chunk}{defun postCollect,finish} -(defun |postCollect,finish| (op itl y) - (let (tmp2 tmp5 newBody) - (cond - ((and (pairp y) (eq (qcar y) '|:|) - (pairp (qcdr y)) (eq (qcdr (qcdr y)) nil)) - (list 'reduce '|append| 0 (cons op (append itl (list (qcar (qcdr y))))))) - ((and (pairp y) (eq (qcar y) '|Tuple|)) - (setq newBody - (cond - ((dolist (x (qcdr y) tmp2) - (setq tmp2 - (or tmp2 (and (pairp x) (eq (qcar x) '|:|) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil))))) - (|postMakeCons| (qcdr y))) - ((dolist (x (qcdr y) tmp5) - (setq tmp5 (or tmp5 (and (pairp x) (eq (qcar x) 'segment))))) - (|tuple2List| (qcdr y))) - (t (cons '|construct| (|postTranList| (qcdr y)))))) - (list 'reduce '|append| 0 (cons op (append itl (list newBody))))) - (t (cons op (append itl (list y))))))) - -\end{chunk} -\defun{postMakeCons}{postMakeCons} -\calls{postMakeCons}{postMakeCons} -\calls{postMakeCons}{postTran} -\begin{chunk}{defun postMakeCons} -(defun |postMakeCons| (args) - (let (a b) - (cond - ((null args) '|nil|) - ((and (pairp args) (pairp (qcar args)) (eq (qcar (qcar args)) '|:|) - (pairp (qcdr (qcar args))) (eq (qcdr (qcdr (qcar args))) nil)) - (setq a (qcar (qcdr (qcar args)))) - (setq b (qcdr args)) - (if b - (list '|append| (|postTran| a) (|postMakeCons| b)) - (|postTran| a))) - (t (list '|cons| (|postTran| (car args)) (|postMakeCons| (cdr args))))))) +\section{Indirect called comp routines} +In the {\bf compExpression} function there is the code: +\begin{verbatim} + (if (and (atom (car x)) (setq fn (getl (car x) 'special))) + (funcall fn x m e) + (|compForm| x m e)))) +\end{verbatim} -\end{chunk} -\defplist{collect}{postCollect} +\defplist{@}{compAdd plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get 'collect '|postTran|) '|postCollect|)) + (setf (get '|add| 'special) 'compAdd)) \end{chunk} -\defun{postCollect}{postCollect} -\calls{postCollect}{postCollect,finish} -\calls{postCollect}{postCollect} -\calls{postCollect}{postIteratorList} -\calls{postCollect}{postTran} -\begin{chunk}{defun postCollect} -(defun |postCollect| (arg) - (let (constructOp tmp3 m itl x) - (setq constructOp (car arg)) - (setq tmp3 (reverse (cdr arg))) - (setq x (car tmp3)) - (setq m (nreverse (cdr tmp3))) +\defun{compAdd}{compAdd} +The compAdd function expects three arguments: +\begin{enumerate} +\item the {\bf form} which is an |add| specifying the domain +to extend and a set of functions to be added +\item the {\bf mode} a |Join|, which is a set of categories and domains +\item the {\bf env} which is a list of functions and their modemaps +\end{enumerate} + +The bulk of the work is performed by a call to compOrCroak which +compiles the functions in the add form capsule. + +The compAdd function returns a triple, the result of a call to compCapsule. +\begin{enumerate} +\item the {\bf compiled capsule} which is a progn form which returns +the domain +\item the {\bf mode} from the input argument +\item the {\bf env} prepended with the signatures of the functions +in the body of the add. +\end{enumerate} +\calls{compAdd}{comp} +\calls{compAdd}{qcdr} +\calls{compAdd}{qcar} +\calls{compAdd}{compSubDomain1} +\calls{compAdd}{nreverse0} +\calls{compAdd}{NRTgetLocalIndex} +\calls{compAdd}{compTuple2Record} +\calls{compAdd}{compOrCroak} +\calls{compAdd}{compCapsule} +\uses{compAdd}{/editfile} +\usesdollar{compAdd}{addForm} +\usesdollar{compAdd}{addFormLhs} +\usesdollar{compAdd}{EmptyMode} +\usesdollar{compAdd}{NRTaddForm} +\usesdollar{compAdd}{packagesUsed} +\usesdollar{compAdd}{functorForm} +\usesdollar{compAdd}{bootStrapMode} +\begin{chunk}{defun compAdd} +(defun compAdd (form mode env) + (let (|$addForm| |$addFormLhs| code domainForm predicate tmp3 tmp4) + (declare (special |$addForm| |$addFormLhs| |$EmptyMode| |$NRTaddForm| + |$packagesUsed| |$functorForm| |$bootStrapMode| /editfile)) + (setq |$addForm| (second form)) (cond - ((and (pairp x) (pairp (qcar x)) (eq (qcar (qcar x)) '|elt|) - (pairp (qcdr (qcar x))) (pairp (qcdr (qcdr (qcar x)))) - (eq (qcdr (qcdr (qcdr (qcar x)))) nil) - (eq (qcar (qcdr (qcdr (qcar x)))) '|construct|)) - (|postCollect| - (cons (list '|elt| (qcar (qcdr (qcar x))) 'collect) - (append m (list (cons '|construct| (qcdr x))))))) + ((eq |$bootStrapMode| t) + (cond + ((and (consp |$addForm|) (eq (qfirst |$addForm|) '|@Tuple|)) + (setq code nil)) + (t + (setq tmp3 (|comp| |$addForm| mode env)) + (setq code (first tmp3)) + (setq mode (second tmp3)) + (setq env (third tmp3)) tmp3)) + (list + (list 'cond + (list '|$bootStrapMode| code) + (list 't + (list '|systemError| + (list 'list ''|%b| (mkq (car |$functorForm|)) ''|%d| "from" + ''|%b| (mkq (|namestring| /editfile)) ''|%d| + "needs to be compiled")))) + mode env)) (t - (setq itl (|postIteratorList| m)) - (setq x - (if (and (pairp x) (eq (qcar x) '|construct|) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil)) - (qcar (qcdr x)) - x)) - (|postCollect,finish| constructOp itl (|postTran| x)))))) + (setq |$addFormLhs| |$addForm|) + (cond + ((and (consp |$addForm|) (eq (qfirst |$addForm|) '|SubDomain|) + (consp (qrest |$addForm|)) (consp (qcddr |$addForm|)) + (eq (qcdddr |$addForm|) nil)) + (setq domainForm (second |$addForm|)) + (setq predicate (third |$addForm|)) + (setq |$packagesUsed| (cons domainForm |$packagesUsed|)) + (setq |$NRTaddForm| domainForm) + (|NRTgetLocalIndex| domainForm) + ; need to generate slot for add form since all $ go-get + ; slots will need to access it + (setq tmp3 (|compSubDomain1| domainForm predicate mode env)) + (setq |$addForm| (first tmp3)) + (setq env (third tmp3)) tmp3) + (t + (setq |$packagesUsed| + (if (and (consp |$addForm|) (eq (qfirst |$addForm|) '|@Tuple|)) + (append (qrest |$addForm|) |$packagesUsed|) + (cons |$addForm| |$packagesUsed|))) + (setq |$NRTaddForm| |$addForm|) + (setq tmp3 + (cond + ((and (consp |$addForm|) (eq (qfirst |$addForm|) '|@Tuple|)) + (setq |$NRTaddForm| + (cons '|@Tuple| + (dolist (x (cdr |$addForm|) (nreverse0 tmp4)) + (push (|NRTgetLocalIndex| x) tmp4)))) + (|compOrCroak| (|compTuple2Record| |$addForm|) |$EmptyMode| env)) + (t + (|compOrCroak| |$addForm| |$EmptyMode| env)))) + (setq |$addForm| (first tmp3)) + (setq env (third tmp3)) + tmp3)) + (|compCapsule| (third form) mode env))))) \end{chunk} -\defun{postIteratorList}{postIteratorList} -\calls{postIteratorList}{postTran} -\calls{postIteratorList}{postInSeq} -\calls{postIteratorList}{postIteratorList} -\begin{chunk}{defun postIteratorList} -(defun |postIteratorList| (args) - (let (z p y u a b) - (cond - ((pairp args) - (setq p (|postTran| (qcar args))) - (setq z (qcdr args)) - (cond - ((and (pairp p) (eq (qcar p) 'in) (pairp (qcdr p)) - (pairp (qcdr (qcdr p))) (eq (qcdr (qcdr (qcdr p))) nil)) - (setq y (qcar (qcdr p))) - (setq u (qcar (qcdr (qcdr p)))) - (cond - ((and (pairp u) (eq (qcar u) '|\||) (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) (eq (qcdr (qcdr (qcdr u))) nil)) - (setq a (qcar (qcdr u))) - (setq b (qcar (qcdr (qcdr u)))) - (cons (list 'in y (|postInSeq| a)) - (cons (list '|\|| b) - (|postIteratorList| z)))) - (t (cons (list 'in y (|postInSeq| u)) (|postIteratorList| z))))) - (t (cons p (|postIteratorList| z))))) - (t args)))) +\defun{compTuple2Record}{compTuple2Record} +\begin{chunk}{defun compTuple2Record} +(defun |compTuple2Record| (u) + (let ((i 0)) + (cons '|Record| + (loop for x in (rest u) + collect (list '|:| (incf i) x))))) \end{chunk} -\defplist{:}{postColon} +\defplist{capsule}{compCapsule plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|:| '|postTran|) '|postColon|)) + (setf (get 'capsule 'special) '|compCapsule|)) \end{chunk} -\defun{postColon}{postColon} -\calls{postColon}{postTran} -\calls{postColon}{postType} -\begin{chunk}{defun postColon} -(defun |postColon| (u) - (cond - ((and (pairp u) (eq (qcar u) '|:|) - (pairp (qcdr u)) (eq (qcdr (qcdr u)) nil)) - (list '|:| (|postTran| (qcar (qcdr u))))) - ((and (pairp u) (eq (qcar u) '|:|) (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) (eq (qcdr (qcdr (qcdr u))) nil)) - (cons '|:| (cons (|postTran| (second u)) (|postType| (third u))))))) +\defun{compCapsule}{compCapsule} +\calls{compCapsule}{bootStrapError} +\calls{compCapsule}{compCapsuleInner} +\calls{compCapsule}{addDomain} +\uses{compCapsule}{editfile} +\usesdollar{compCapsule}{insideExpressionIfTrue} +\usesdollar{compCapsule}{functorForm} +\usesdollar{compCapsule}{bootStrapMode} +\begin{chunk}{defun compCapsule} +(defun |compCapsule| (form mode env) + (let (|$insideExpressionIfTrue| itemList) + (declare (special |$insideExpressionIfTrue| |$functorForm| /editfile + |$bootStrapMode|)) + (setq itemList (cdr form)) + (cond + ((eq |$bootStrapMode| t) + (list (|bootStrapError| |$functorForm| /editfile) mode env)) + (t + (setq |$insideExpressionIfTrue| nil) + (|compCapsuleInner| itemList mode (|addDomain| '$ env)))))) + +\end{chunk} + +\defun{compCapsuleInner}{compCapsuleInner} +\calls{compCapsuleInner}{addInformation} +\calls{compCapsuleInner}{compCapsuleItems} +\calls{compCapsuleInner}{processFunctor} +\calls{compCapsuleInner}{mkpf} +\usesdollar{compCapsuleInner}{getDomainCode} +\usesdollar{compCapsuleInner}{signature} +\usesdollar{compCapsuleInner}{form} +\usesdollar{compCapsuleInner}{addForm} +\usesdollar{compCapsuleInner}{insideCategoryPackageIfTrue} +\usesdollar{compCapsuleInner}{insideCategoryIfTrue} +\usesdollar{compCapsuleInner}{functorLocalParameters} +\begin{chunk}{defun compCapsuleInner} +(defun |compCapsuleInner| (form mode env) + (let (localParList data code) + (declare (special |$getDomainCode| |$signature| |$form| |$addForm| + |$insideCategoryPackageIfTrue| |$insideCategoryIfTrue| + |$functorLocalParameters|)) + (setq env (|addInformation| mode env)) + (setq data (cons 'progn form)) + (setq env (|compCapsuleItems| form nil env)) + (setq localParList |$functorLocalParameters|) + (when |$addForm| (setq data (list '|add| |$addForm| data))) + (setq code + (if (and |$insideCategoryIfTrue| (null |$insideCategoryPackageIfTrue|)) + data + (|processFunctor| |$form| |$signature| data localParList env))) + (cons (mkpf (append |$getDomainCode| (list code)) 'progn) (list mode env)))) + +\end{chunk} + +\defun{processFunctor}{processFunctor} +\calls{processFunctor}{error} +\calls{processFunctor}{buildFunctor} +\begin{chunk}{defun processFunctor} +(defun |processFunctor| (form signature data localParList e) + (cond + ((and (consp form) (eq (qrest form) nil) + (eq (qfirst form) '|CategoryDefaults|)) + (|error| '|CategoryDefaults is a reserved name|)) + (t (|buildFunctor| form signature data localParList e)))) + +\end{chunk} + +\defun{compCapsuleItems}{compCapsuleItems} +The variable data appears to be unbound at runtime. Optimized +code won't check for this but interpreted code fails. We should +PROVE that data is unbound at runtime but have not done so yet. +Rather than remove the code entirely (since there MIGHT be a +path where it is used) we check for the runtime bound case and +assign \verb|$myFunctorBody| if data has a value. + +The compCapsuleInner function in this file LOOKS like it sets +data and expects code to manipulate the assigned data structure. +Since we can't be sure we take the least disruptive course of action. + +\calls{compCapsuleItems}{compSingleCapsuleItem} +\defsdollar{compCapsuleItems}{top-level} +\defsdollar{compCapsuleItems}{myFunctorBody} +\defsdollar{compCapsuleItems}{signatureOfForm} +\defsdollar{compCapsuleItems}{suffix} +\defsdollar{compCapsuleItems}{e} +\refsdollar{compCapsuleItems}{pred} +\refsdollar{compCapsuleItems}{e} +\begin{chunk}{defun compCapsuleItems} +(defun |compCapsuleItems| (itemlist |$predl| |$e|) + (declare (special |$predl| |$e|)) + (let ($top_level |$myFunctorBody| |$signatureOfForm| |$suffix|) + (declare (special $top_level |$myFunctorBody| |$signatureOfForm| |$suffix|)) + (setq $top_level nil) + (setq |$myFunctorBody| nil) + (when (boundp '|data|) (setq |$myFunctorBody| |data|)) + (setq |$signatureOfForm| nil) + (setq |$suffix| 0) + (loop for item in itemlist do + (setq |$e| (|compSingleCapsuleItem| item |$predl| |$e|))) + |$e|)) + +\end{chunk} + +\defun{compSingleCapsuleItem}{compSingleCapsuleItem} +\calls{compSingleCapsuleItem}{doit} +\refsdollar{compSingleCapsuleItem}{pred} +\refsdollar{compSingleCapsuleItem}{e} +\calls{compSingleCapsuleItem}{macroExpandInPlace} +\begin{chunk}{defun compSingleCapsuleItem} +(defun |compSingleCapsuleItem| (item |$predl| |$e|) + (declare (special |$predl| |$e|)) + (|doIt| (|macroExpandInPlace| item |$e|) |$predl|) + |$e|) + +\end{chunk} + +\defun{doIt}{doIt} +\calls{doIt}{qcar} +\calls{doIt}{qcdr} +\calls{doIt}{lastnode} +\calls{doIt}{compSingleCapsuleItem} +\calls{doIt}{isDomainForm} +\calls{doIt}{stackWarning} +\calls{doIt}{doIt} +\calls{doIt}{compOrCroak} +\calls{doIt}{stackSemanticError} +\calls{doIt}{bright} +\calls{doIt}{member} +\calls{doIt}{kar} +\calls{doIt}{|isFunctor} +\calls{doIt}{insert} +\calls{doIt}{opOf} +\calls{doIt}{get} +\calls{doIt}{NRTgetLocalIndex} +\calls{doIt}{sublis} +\calls{doIt}{compOrCroak} +\calls{doIt}{sayBrightly} +\calls{doIt}{formatUnabbreviated} +\calls{doIt}{doItIf} +\calls{doIt}{isMacro} +\calls{doIt}{put} +\calls{doIt}{cannotDo} +\refsdollar{doIt}{predl} +\refsdollar{doIt}{e} +\refsdollar{doIt}{EmptyMode} +\refsdollar{doIt}{NonMentionableDomainNames} +\refsdollar{doIt}{functorLocalParameters} +\refsdollar{doIt}{functorsUsed} +\refsdollar{doIt}{packagesUsed} +\refsdollar{doIt}{NRTopt} +\refsdollar{doIt}{Representation} +\refsdollar{doIt}{LocalDomainAlist} +\refsdollar{doIt}{QuickCode} +\refsdollar{doIt}{signatureOfForm} +\defsdollar{doIt}{genno} +\defsdollar{doIt}{e} +\defsdollar{doIt}{functorLocalParameters} +\defsdollar{doIt}{functorsUsed} +\defsdollar{doIt}{packagesUsed} +\defsdollar{doIt}{Representation} +\defsdollar{doIt}{LocalDomainAlist} +\begin{chunk}{defun doIt} +(defun |doIt| (item |$predl|) + (declare (special |$predl|)) + (prog ($genno x rhs lhsp lhs rhsp rhsCode z tmp1 tmp2 tmp6 op body tt + functionPart u code) + (declare (special $genno |$e| |$EmptyMode| |$signatureOfForm| + |$QuickCode| |$LocalDomainAlist| |$Representation| + |$NRTopt| |$packagesUsed| |$functorsUsed| + |$functorLocalParameters| |$NonMentionableDomainNames|)) + (setq $genno 0) + (cond + ((and (consp item) (eq (qfirst item) 'seq) (consp (qrest item)) + (progn (setq tmp6 (reverse (qrest item))) t) + (consp tmp6) (consp (qfirst tmp6)) + (eq (qcaar tmp6) '|exit|) + (consp (qcdar tmp6)) + (equal (qcadar tmp6) 1) + (consp (qcddar tmp6)) + (eq (qcdddar tmp6) nil)) + (setq x (qcaddar tmp6)) + (setq z (qrest tmp6)) + (setq z (nreverse z)) + (rplaca item 'progn) + (rplaca (lastnode item) x) + (loop for it1 in (rest item) + do (setq |$e| (|compSingleCapsuleItem| it1 |$predl| |$e|)))) + ((|isDomainForm| item |$e|) + (setq u (list '|import| (cons (car item) (cdr item)))) + (|stackWarning| (list '|Use: import | (cons (car item) (cdr item)))) + (rplaca item (car u)) + (rplacd item (cdr u)) + (|doIt| item |$predl|)) + ((and (consp item) (eq (qfirst item) 'let) (consp (qrest item)) + (consp (qcddr item))) + (setq lhs (qsecond item)) + (setq rhs (qthird item)) + (cond + ((null (progn + (setq tmp2 (|compOrCroak| item |$EmptyMode| |$e|)) + (and (consp tmp2) + (progn + (setq code (qfirst tmp2)) + (and (consp (qrest tmp2)) + (progn + (and (consp (qcddr tmp2)) + (eq (qcdddr tmp2) nil) + (PROGN + (setq |$e| (qthird tmp2)) + t)))))))) + (|stackSemanticError| + (cons '|cannot compile assigned value to| (|bright| lhs)) + nil)) + ((null (and (consp code) (eq (qfirst code) 'let) + (progn + (and (consp (qrest code)) + (progn + (setq lhsp (qsecond code)) + (and (consp (qcddr code)))))) + (atom (qsecond code)))) + (cond + ((and (consp code) (eq (qfirst code) 'progn)) + (|stackSemanticError| + (list '|multiple assignment | item '| not allowed|) + nil)) + (t + (rplaca item (car code)) + (rplacd item (cdr code))))) + (t + (setq lhs lhsp) + (cond + ((and (null (|member| (kar rhs) |$NonMentionableDomainNames|)) + (null (member lhs |$functorLocalParameters|))) + (setq |$functorLocalParameters| + (append |$functorLocalParameters| (list lhs))))) + (cond + ((and (consp code) (eq (qfirst code) 'let) + (progn + (setq tmp2 (qrest code)) + (and (consp tmp2) + (progn + (setq tmp6 (qrest tmp2)) + (and (consp tmp6) + (progn + (setq rhsp (qfirst tmp6)) + t))))) + (|isDomainForm| rhsp |$e|)) + (cond + ((|isFunctor| rhsp) + (setq |$functorsUsed| (|insert| (|opOf| rhsp) |$functorsUsed|)) + (setq |$packagesUsed| (|insert| (list (|opOf| rhsp)) + |$packagesUsed|)))) + (cond + ((eq lhs '|Rep|) + (setq |$Representation| (elt (|get| '|Rep| '|value| |$e|) 0)) + (cond + ((eq |$NRTopt| t) + (|NRTgetLocalIndex| |$Representation|)) + (t nil)))) + (setq |$LocalDomainAlist| + (cons (cons lhs + (sublis |$LocalDomainAlist| (elt (|get| lhs '|value| |$e|) 0))) + |$LocalDomainAlist|)))) + (cond + ((and (consp code) (eq (qfirst code) 'let)) + (rplaca item (if |$QuickCode| 'qsetrefv 'setelt)) + (setq rhsCode rhsp) + (rplacd item (list '$ (|NRTgetLocalIndex| lhs) rhsCode))) + (t + (rplaca item (car code)) + (rplacd item (cdr code))))))) + ((and (consp item) (eq (qfirst item) '|:|) (consp (qrest item)) + (consp (qcddr item)) (eq (qcdddr item) nil)) + (setq tmp1 (|compOrCroak| item |$EmptyMode| |$e|)) + (setq |$e| (caddr tmp1)) + tmp1) + ((and (consp item) (eq (qfirst item) '|import|)) + (loop for dom in (qrest item) + do (|sayBrightly| (cons " importing " (|formatUnabbreviated| dom)))) + (setq tmp1 (|compOrCroak| item |$EmptyMode| |$e|)) + (setq |$e| (caddr tmp1)) + (rplaca item 'progn) + (rplacd item nil)) + ((and (consp item) (eq (qfirst item) 'if)) + (|doItIf| item |$predl| |$e|)) + ((and (consp item) (eq (qfirst item) '|where|) (consp (qrest item))) + (|compOrCroak| item |$EmptyMode| |$e|)) + ((and (consp item) (eq (qfirst item) 'mdef)) + (setq tmp1 (|compOrCroak| item |$EmptyMode| |$e|)) + (setq |$e| (caddr tmp1)) tmp1) + ((and (consp item) (eq (qfirst item) 'def) (consp (qrest item)) + (consp (qsecond item))) + (setq op (qcaadr item)) + (cond + ((setq body (|isMacro| item |$e|)) + (setq |$e| (|put| op '|macro| body |$e|))) + (t + (setq tt (|compOrCroak| item |$EmptyMode| |$e|)) + (setq |$e| (caddr tt)) + (rplaca item '|CodeDefine|) + (rplacd (cadr item) (list |$signatureOfForm|)) + (setq functionPart (list '|dispatchFunction| (car tt))) + (rplaca (cddr item) functionPart) + (rplacd (cddr item) nil)))) + ((setq u (|compOrCroak| item |$EmptyMode| |$e|)) + (setq code (car u)) + (setq |$e| (caddr u)) + (rplaca item (car code)) + (rplacd item (cdr code))) + (t (|cannotDo|))))) + +\end{chunk} + +\defun{doItIf}{doItIf} +\calls{doItIf}{comp} +\calls{doItIf}{userError} +\calls{doItIf}{compSingleCapsuleItem} +\calls{doItIf}{getSuccessEnvironment} +\calls{doItIf}{localExtras} +\calls{doItIf}{rplaca} +\calls{doItIf}{rplacd} +\defsdollar{doItIf}{e} +\defsdollar{doItIf}{functorLocalParameters} +\refsdollar{doItIf}{predl} +\refsdollar{doItIf}{e} +\refsdollar{doItIf}{functorLocalParameters} +\refsdollar{doItIf}{getDomainCode} +\refsdollar{doItIf}{Boolean} +\begin{chunk}{defun doItIf} +(defun |doItIf| (item |$predl| |$e|) + (declare (special |$predl| |$e|)) + (labels ( + (localExtras (oldFLP) + (let (oldFLPp flp1 gv ans nils n) + (declare (special |$functorLocalParameters| |$getDomainCode|)) + (unless (eq oldFLP |$functorLocalParameters|) + (setq flp1 |$functorLocalParameters|) + (setq oldFLPp oldFLP) + (setq n 0) + (loop while oldFLPp + do + (setq oldFLPp (cdr oldFLPp)) + (setq n (1+ n))) + (setq nils (setq ans nil)) + (loop for u in flp1 + do + (if (or (atom u) + (let (result) + (loop for v in |$getDomainCode| + do + (setq result (or result + (and (consp v) (consp (qrest v)) + (equal (qsecond v) u))))) + result)) + ; Now we have to add code to compile all the elements of + ; functorLocalParameters that were added during the conditional compilation + (setq nils (cons u nils)) + (progn + (setq gv (gensym)) + (setq ans (cons (list 'let gv u) ans)) + (setq nils (CONS gv nils)))) + (setq n (1+ n))) + (setq |$functorLocalParameters| (append oldFLP (nreverse nils))) + (nreverse ans))))) + (let (p x y olde tmp1 pp xp oldFLP yp) + (declare (special |$functorLocalParameters| |$Boolean|)) + (setq p (second item)) + (setq x (third item)) + (setq y (fourth item)) + (setq olde |$e|) + (setq tmp1 + (or (|comp| p |$Boolean| |$e|) + (|userError| (list "not a Boolean:" p)))) + (setq pp (first tmp1)) + (setq |$e| (third tmp1)) + (setq oldFLP |$functorLocalParameters|) + (unless (eq x '|noBranch|) + (|compSingleCapsuleItem| x |$predl| (|getSuccessEnvironment| p |$e|)) + (setq xp (localExtras oldFLP))) + (setq oldFLP |$functorLocalParameters|) + (unless (eq y '|noBranch|) + (|compSingleCapsuleItem| y |$predl| (|getInverseEnvironment| p olde)) + (setq yp (localExtras oldFLP))) + (rplaca item 'cond) + (rplacd item (list (cons pp (cons x xp)) (cons ''t (cons y yp))))))) + +\end{chunk} + +\defun{isMacro}{isMacro} +\calls{isMacro}{qcar} +\calls{isMacro}{qcdr} +\calls{isMacro}{get} +\begin{chunk}{defun isMacro} +(defun |isMacro| (x env) + (let (op args signature body) + (when + (and (consp x) (eq (qfirst x) 'def) (consp (qrest x)) + (consp (qsecond x)) (consp (qcddr x)) + (consp (qcdddr x)) + (consp (qcddddr x)) + (eq (qrest (qcddddr x)) nil)) + (setq op (qcaadr x)) + (setq args (qcdadr x)) + (setq signature (qthird x)) + (setq body (qfirst (qcddddr x))) + (when + (and (null (|get| op '|modemap| env)) + (null args) + (null (|get| op '|mode| env)) + (consp signature) + (eq (qrest signature) nil) + (null (qfirst signature))) + body)))) \end{chunk} -\defplist{::}{postColonColon} +\defplist{case}{compCase plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|::| '|postTran|) '|postColonColon|)) + (setf (get '|case| 'special) '|compCase|)) \end{chunk} -\defun{postColonColon}{postColonColon} -\calls{postColonColon}{postForm} -\usesdollar{postColonColon}{boot} -\begin{chunk}{defun postColonColon} -(defun |postColonColon| (u) - (if (and $boot (pairp u) (eq (qcar u) '|::|) (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) (eq (qcdr (qcdr (qcdr u))) nil)) - (intern (princ-to-string (third u)) (second u)) - (|postForm| u))) +\defun{compCase}{compCase} +Will the jerk who commented out these two functions please NOT do so +again. These functions ARE needed, and case can NOT be done by +modemap alone. The reason is that A case B requires to take A +evaluated, but B unevaluated. Therefore a special function is +required. You may have thought that you had tested this on ``failed'' +etc., but ``failed'' evaluates to it's own mode. Try it on x case \$ +next time. + +An angry JHD - August 15th., 1984 +\calls{compCase}{addDomain} +\calls{compCase}{compCase1} +\calls{compCase}{coerce} +\begin{chunk}{defun compCase} +(defun |compCase| (form mode env) + (let (mp td) + (setq mp (third form)) + (setq env (|addDomain| mp env)) + (when (setq td (|compCase1| (second form) mp env)) (|coerce| td mode)))) + +\end{chunk} + +\defun{compCase1}{compCase1} +\calls{compCase1}{comp} +\calls{compCase1}{getModemapList} +\calls{compCase1}{nreverse0} +\calls{compCase1}{modeEqual} +\usesdollar{compCase1}{Boolean} +\usesdollar{compCase1}{EmptyMode} +\begin{chunk}{defun compCase1} +(defun |compCase1| (form mode env) + (let (xp mp ep map tmp3 tmp5 tmp6 u fn) + (declare (special |$Boolean| |$EmptyMode|)) + (when (setq tmp3 (|comp| form |$EmptyMode| env)) + (setq xp (first tmp3)) + (setq mp (second tmp3)) + (setq ep (third tmp3)) + (when + (setq u + (dolist (modemap (|getModemapList| '|case| 2 ep) (nreverse0 tmp5)) + (setq map (first modemap)) + (when + (and (consp map) (consp (qrest map)) (consp (qcddr map)) + (consp (qcdddr map)) + (eq (qcddddr map) nil) + (|modeEqual| (fourth map) mode) + (|modeEqual| (third map) mp)) + (push (second modemap) tmp5)))) + (when + (setq fn + (dolist (onepair u tmp6) + (when (first onepair) (setq tmp6 (or tmp6 (second onepair)))))) + (list (list '|call| fn xp) |$Boolean| ep)))))) \end{chunk} -\defplist{,}{postComma} +\defplist{Record}{compCat plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|,| '|postTran|) '|postComma|)) + (setf (get '|Record| 'special) '|compCat|)) \end{chunk} -\defun{postComma}{postComma} -\calls{postComma}{postTuple} -\calls{postComma}{comma2Tuple} -\begin{chunk}{defun postComma} -(defun |postComma| (u) - (|postTuple| (|comma2Tuple| u))) +\defplist{Mapping}{compCat plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Mapping| 'special) '|compCat|)) \end{chunk} -\defun{comma2Tuple}{comma2Tuple} -\calls{comma2Tuple}{postFlatten} -\begin{chunk}{defun comma2Tuple} -(defun |comma2Tuple| (u) - (cons '|@Tuple| (|postFlatten| u '|,|))) +\defplist{Union}{compCat plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Union| 'special) '|compCat|)) \end{chunk} -\defun{postFlatten}{postFlatten} -\calls{postFlatten}{postFlatten} -\begin{chunk}{defun postFlatten} -(defun |postFlatten| (x op) - (let (a b) - (cond - ((and (pairp x) (equal (qcar x) op) (pairp (qcdr x)) - (pairp (qcdr (qcdr x))) (eq (qcdr (qcdr (qcdr x))) nil)) - (setq a (qcar (qcdr x))) - (setq b (qcar (qcdr (qcdr x)))) - (append (|postFlatten| a op) (|postFlatten| b op))) - (t (list x))))) +\defun{compCat}{compCat} +\calls{compCat}{getl} +\begin{chunk}{defun compCat} +(defun |compCat| (form mode env) + (declare (ignore mode)) + (let (functorName fn tmp1 tmp2 funList op sig catForm) + (setq functorName (first form)) + (when (setq fn (getl functorName '|makeFunctionList|)) + (setq tmp1 (funcall fn form form env)) + (setq funList (first tmp1)) + (setq env (second tmp1)) + (setq catForm + (list '|Join| '(|SetCategory|) + (cons 'category + (cons '|domain| + (dolist (item funList (nreverse0 tmp2)) + (setq op (first item)) + (setq sig (second item)) + (unless (eq op '=) (push (list 'signature op sig) tmp2))))))) + (list form catForm env)))) \end{chunk} -\defplist{construct}{postConstruct} +\defplist{category}{compCategory plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|construct| '|postTran|) '|postConstruct|)) + (setf (get 'category 'special) '|compCategory|)) \end{chunk} -\defun{postConstruct}{postConstruct} -\calls{postConstruct}{comma2Tuple} -\calls{postConstruct}{postTranSegment} -\calls{postConstruct}{postMakeCons} -\calls{postConstruct}{tuple2List} -\calls{postConstruct}{postTranList} -\calls{postConstruct}{postTran} -\begin{chunk}{defun postConstruct} -(defun |postConstruct| (u) - (let (b a tmp4 tmp7) +\defun{compCategory}{compCategory} +\calls{compCategory}{resolve} +\calls{compCategory}{qcar} +\calls{compCategory}{qcdr} +\calls{compCategory}{compCategoryItem} +\calls{compCategory}{mkExplicitCategoryFunction} +\calls{compCategory}{systemErrorHere} +\defsdollar{compCategory}{sigList} +\defsdollar{compCategory}{atList} +\defsdollar{compCategory}{top-level} +\refsdollar{compCategory}{sigList} +\refsdollar{compCategory}{atList} +\begin{chunk}{defun compCategory} +(defun |compCategory| (form mode env) + (let ($top_level |$sigList| |$atList| domainOrPackage z rep) + (declare (special $top_level |$sigList| |$atList|)) + (setq $top_level t) (cond - ((and (pairp u) (eq (qcar u) '|construct|) - (pairp (qcdr u)) (eq (qcdr (qcdr u)) nil)) - (setq b (qcar (qcdr u))) - (setq a - (if (and (pairp b) (eq (qcar b) '|,|)) - (|comma2Tuple| b) - b)) + ((and + (equal (setq mode (|resolve| mode (list '|Category|))) + (list '|Category|)) + (consp form) + (eq (qfirst form) 'category) + (consp (qrest form))) + (setq domainOrPackage (second form)) + (setq z (qcddr form)) + (setq |$sigList| nil) + (setq |$atList| nil) + (dolist (x z) (|compCategoryItem| x nil)) + (setq rep + (|mkExplicitCategoryFunction| domainOrPackage |$sigList| |$atList|)) + (list rep mode env)) + (t + (|systemErrorHere| "compCategory"))))) + +\end{chunk} + +\defun{compCategoryItem}{compCategoryItem} +\calls{compCategoryItem}{qcar} +\calls{compCategoryItem}{qcdr} +\calls{compCategoryItem}{compCategoryItem} +\calls{compCategoryItem}{mkpf} +\refsdollar{compCategoryItem}{sigList} +\refsdollar{compCategoryItem}{atList} +\begin{chunk}{defun compCategoryItem} +(defun |compCategoryItem| (x predl) + (let (p e a b c predlp pred y z op sig) + (declare (special |$sigList| |$atList|)) + (cond + ((null x) nil) +; 1. if x is a conditional expression, recurse; otherwise, form the predicate + ((and (consp x) (eq (qfirst x) 'cond) + (consp (qrest x)) (eq (qcddr x) nil) + (consp (qsecond x)) + (consp (qcdadr x)) + (eq (qcddadr x) nil)) + (setq p (qcaadr x)) + (setq e (qcadadr x)) + (setq predlp (cons p predl)) (cond - ((and (pairp a) (eq (qcar a) 'segment) (pairp (qcdr a)) - (pairp (qcdr (qcdr a))) (eq (qcdr (qcdr (qcdr a))) nil)) - (list '|construct| (|postTranSegment| (second a) (third a)))) - ((and (pairp a) (eq (qcar a) '|@Tuple|)) - (cond - ((dolist (x (qcdr a) tmp4) - (setq tmp4 - (or tmp4 - (and (pairp x) (eq (qcar x) '|:|) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil))))) - (|postMakeCons| (qcdr a))) - ((dolist (x (qcdr a) tmp7) - (setq tmp7 (or tmp7 (and (pairp x) (eq (qcar x) 'segment))))) - (|tuple2List| (qcdr a))) - (t (cons '|construct| (|postTranList| (qcdr a)))))) - (t (list '|construct| (|postTran| a))))) - (t u)))) + ((and (consp e) (eq (qfirst e) 'progn)) + (setq z (qrest e)) + (dolist (y z) (|compCategoryItem| y predlp))) + (t (|compCategoryItem| e predlp)))) + ((and (consp x) (eq (qfirst x) 'if) (consp (qrest x)) + (consp (qcddr x)) (consp (qcdddr x)) + (eq (qcddddr x) nil)) + (setq a (qsecond x)) + (setq b (qthird x)) + (setq c (qfourth x)) + (setq predlp (cons a predl)) + (unless (eq b '|noBranch|) + (cond + ((and (consp b) (eq (qfirst b) 'progn)) + (setq z (qrest b)) + (dolist (y z) (|compCategoryItem| y predlp))) + (t (|compCategoryItem| b predlp)))) + (cond + ((eq c '|noBranch|) nil) + (t + (setq predlp (cons (list '|not| a) predl)) + (cond + ((and (consp c) (eq (qfirst c) 'progn)) + (setq z (qrest c)) + (dolist (y z) (|compCategoryItem| y predlp))) + (t (|compCategoryItem| c predlp)))))) + (t + (setq pred (if predl (mkpf predl 'and) t)) + (cond +; 2. if attribute, push it and return + ((and (consp x) (eq (qfirst x) 'attribute) + (consp (qrest x)) (eq (qcddr x) nil)) + (setq y (qsecond x)) + (push (mkq (list y pred)) |$atList|)) +; 3. it may be a list, with PROGN as the CAR, and some information as the CDR + ((and (consp x) (eq (qfirst x) 'progn)) + (setq z (qrest x)) + (dolist (u z) (|compCategoryItem| u predl))) + (t +; 4. otherwise, x gives a signature for a single operator name or a list of +; names; if a list of names, recurse + (cond ((eq (car x) 'signature) (car x))) + (setq op (cadr x)) + (setq sig (cddr x)) + (cond + ((null (atom op)) + (dolist (y op) + (|compCategoryItem| (cons 'signature (cons y sig)) predl))) + (t +; 5. branch on a single type or a signature %with source and target + (push (mkq (list (cdr x) pred)) |$sigList|))))))))) \end{chunk} -\defun{postTranSegment}{postTranSegment} -\calls{postTranSegment}{postTran} -\begin{chunk}{defun postTranSegment} -(defun |postTranSegment| (p q) - (list 'segment (|postTran| p) (when q (|postTran| q)))) +\defun{mkExplicitCategoryFunction}{mkExplicitCategoryFunction} +\calls{mkExplicitCategoryFunction}{mkq} +\calls{mkExplicitCategoryFunction}{union} +\calls{mkExplicitCategoryFunction}{mustInstantiate} +\calls{mkExplicitCategoryFunction}{remdup} +\calls{mkExplicitCategoryFunction}{identp} +\calls{mkExplicitCategoryFunction}{nequal} +\calls{mkExplicitCategoryFunction}{wrapDomainSub} +\begin{chunk}{defun mkExplicitCategoryFunction} +(defun |mkExplicitCategoryFunction| (domainOrPackage sigList atList) + (let (body sig parameters) + (setq body + (list '|mkCategory| (mkq domainOrPackage) + (cons 'list (reverse sigList)) + (cons 'list (reverse atList)) + (mkq + (let (result) + (loop for item in sigList + do + (setq sig (car (cdaadr item))) + (setq result + (|union| result + (loop for d in sig + when (|mustInstantiate| d) + collect d)))) + result)) + nil)) + (setq parameters + (remdup + (let (result) + (loop for item in sigList + do + (setq sig (car (cdaadr item))) + (setq result + (append result + (loop for x in sig + when (and (identp x) (nequal x '$)) + collect x)))) + result))) + (|wrapDomainSub| parameters body))) + +\end{chunk} + +\defun{mustInstantiate}{mustInstantiate} +\calls{mustInstantiate}{qcar} +\calls{mustInstantiate}{getl} +\refsdollar{mustInstantiate}{DummyFunctorNames} +\begin{chunk}{defun mustInstantiate} +(defun |mustInstantiate| (d) + (declare (special |$DummyFunctorNames|)) + (and (consp d) + (null (or (member (qfirst d) |$DummyFunctorNames|) + (getl (qfirst d) '|makeFunctionList|))))) + +\end{chunk} + +\defun{wrapDomainSub}{wrapDomainSub} +\begin{chunk}{defun wrapDomainSub} +(defun |wrapDomainSub| (parameters x) + (list '|DomainSubstitutionMacro| parameters x)) \end{chunk} -\defplist{==}{postDef} +\defplist{:}{compColon plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|==| '|postTran|) '|postDef|)) + (setf (get '|:| 'special) '|compColon|)) \end{chunk} -\defun{postDef}{postDef} -\calls{postDef}{postMDef} -\calls{postDef}{recordHeaderDocumentation} -\calls{postDef}{nequal} -\calls{postDef}{postTran} -\calls{postDef}{postDefArgs} -\calls{postDef}{nreverse0} -\usesdollar{postDef}{boot} -\usesdollar{postDef}{maxSignatureLineNumber} -\usesdollar{postDef}{headerDocumentation} -\usesdollar{postDef}{docList} -\usesdollar{postDef}{InteractiveMode} -\begin{chunk}{defun postDef} -(defun |postDef| (arg) - (let (defOp rhs lhs targetType tmp1 op argl newLhs - argTypeList typeList form specialCaseForm tmp4 tmp6 tmp8) - (declare (special $boot |$maxSignatureLineNumber| |$headerDocumentation| - |$docList| |$InteractiveMode|)) - (setq defOp (first arg)) - (setq lhs (second arg)) - (setq rhs (third arg)) - (if (and (pairp lhs) (eq (qcar lhs) '|macro|) - (pairp (qcdr lhs)) (eq (qcdr (qcdr lhs)) nil)) - (|postMDef| (list '==> (second lhs) rhs)) - (progn - (unless $boot (|recordHeaderDocumentation| nil)) - (when (nequal |$maxSignatureLineNumber| 0) - (setq |$docList| - (cons (cons '|constructor| |$headerDocumentation|) |$docList|)) - (setq |$maxSignatureLineNumber| 0)) - (setq lhs (|postTran| lhs)) - (setq tmp1 - (if (and (pairp lhs) (eq (qcar lhs) '|:|)) (cdr lhs) (list lhs nil))) - (setq form (first tmp1)) - (setq targetType (second tmp1)) - (when (and (null |$InteractiveMode|) (atom form)) (setq form (list form))) - (setq newLhs - (if (atom form) - form +\defun{compColon}{compColon} +\calls{compColon}{compColonInside} +\calls{compColon}{assoc} +\calls{compColon}{getDomainsInScope} +\calls{compColon}{isDomainForm} +\seebook{compColon}{member}{5} +\calls{compColon}{addDomain} +\calls{compColon}{isDomainForm} +\calls{compColon}{isCategoryForm} +\calls{compColon}{unknownTypeError} +\calls{compColon}{compColon} +\calls{compColon}{eqsubstlist} +\calls{compColon}{take} +\calls{compColon}{length} +\calls{compColon}{nreverse0} +\calls{compColon}{getmode} +\calls{compColon}{systemErrorHere} +\calls{compColon}{put} +\calls{compColon}{makeCategoryForm} +\calls{compColon}{genSomeVariable} +\usesdollar{compColon}{lhsOfColon} +\usesdollar{compColon}{noEnv} +\usesdollar{compColon}{insideFunctorIfTrue} +\usesdollar{compColon}{bootStrapMode} +\usesdollar{compColon}{FormalMapVariableList} +\usesdollar{compColon}{insideCategoryIfTrue} +\usesdollar{compColon}{insideExpressionIfTrue} +\begin{chunk}{defun compColon} +(defun |compColon| (form mode env) + (let (|$lhsOfColon| argf argt tprime mprime r td op argl newTarget a + signature tmp2 catform tmp3 g2 g5) + (declare (special |$lhsOfColon| |$noEnv| |$insideFunctorIfTrue| + |$bootStrapMode| |$FormalMapVariableList| + |$insideCategoryIfTrue| |$insideExpressionIfTrue|)) + (setq argf (second form)) + (setq argt (third form)) + (if |$insideExpressionIfTrue| + (|compColonInside| argf mode env argt) (progn - (setq tmp1 - (dolist (x form (nreverse0 tmp4)) - (push - (if (and (pairp x) (eq (qcar x) '|:|) (pairp (qcdr x)) - (pairp (qcdr (qcdr x))) (eq (qcdr (qcdr (qcdr x))) nil)) - (second x) - x) - tmp4))) - (setq op (car tmp1)) - (setq argl (cdr tmp1)) - (cons op (|postDefArgs| argl))))) - (setq argTypeList - (unless (atom form) - (dolist (x (cdr form) (nreverse0 tmp6)) - (push - (when (and (pairp x) (eq (qcar x) '|:|) (pairp (qcdr x)) - (pairp (qcdr (qcdr x))) (eq (qcdr (qcdr (qcdr x))) nil)) - (third x)) - tmp6)))) - (setq typeList (cons targetType argTypeList)) - (when (atom form) (setq form (list form))) - (setq specialCaseForm (dolist (x form (nreverse tmp8)) (push nil tmp8))) - (list 'def newLhs typeList specialCaseForm (|postTran| rhs)))))) + (setq |$lhsOfColon| argf) + (setq argt + (cond + ((and (atom argt) + (setq tprime (|assoc| argt (|getDomainsInScope| env)))) + tprime) + ((and (|isDomainForm| argt env) (null |$insideCategoryIfTrue|)) + (unless (|member| argt (|getDomainsInScope| env)) + (setq env (|addDomain| argt env))) + argt) + ((or (|isDomainForm| argt env) (|isCategoryForm| argt env)) + argt) + ((and (consp argt) (eq (qfirst argt) '|Mapping|) + (progn + (setq tmp2 (qrest argt)) + (and (consp tmp2) + (progn + (setq mprime (qfirst tmp2)) + (setq r (qrest tmp2)) + t)))) + argt) + (t + (|unknownTypeError| argt) + argt))) + (cond + ((eq (car argf) 'listof) + (dolist (x (cdr argf) td) + (setq td (|compColon| (list '|:| x argt) mode env)) + (setq env (third td)))) + (t + (setq env + (cond + ((and (consp argf) + (progn + (setq op (qfirst argf)) + (setq argl (qrest argf)) + t) + (null (and (consp argt) (eq (qfirst argt) '|Mapping|)))) + (setq newTarget + (eqsubstlist (take (|#| argl) |$FormalMapVariableList|) + (dolist (x argl (nreverse0 g2)) + (setq g2 + (cons + (cond + ((and (consp x) (eq (qfirst x) '|:|) + (progn + (setq tmp2 (qrest x)) + (and (consp tmp2) + (progn + (setq a (qfirst tmp2)) + (setq tmp3 (qrest tmp2)) + (and (consp tmp3) + (eq (qrest tmp3) nil) + (progn + (setq mode (qfirst tmp3)) + t)))))) + a) + (t x)) + g2))) + argt)) + (setq signature + (cons '|Mapping| + (cons newTarget + (dolist (x argl (nreverse0 g5)) + (setq g5 + (cons + (cond + ((and (consp x) (eq (qfirst x) '|:|) + (progn + (setq tmp2 (qrest x)) + (and (consp tmp2) + (progn + (setq a (qfirst tmp2)) + (setq tmp3 (qrest tmp2)) + (and (consp tmp3) + (eq (qrest tmp3) nil) + (progn + (setq mode (qfirst tmp3)) + t)))))) + mode) + (t + (or (|getmode| x env) + (|systemErrorHere| "compColonOld")))) + g5)))))) + (|put| op '|mode| signature env)) + (t (|put| argf '|mode| argt env)))) + (cond + ((and (null |$bootStrapMode|) |$insideFunctorIfTrue| + (progn + (setq tmp2 (|makeCategoryForm| argt env)) + (and (consp tmp2) + (progn + (setq catform (qfirst tmp2)) + (setq tmp3 (qrest tmp2)) + (and (consp tmp3) + (eq (qrest tmp3) nil) + (progn + (setq env (qfirst tmp3)) + t)))))) + (setq env + (|put| argf '|value| (list (|genSomeVariable|) argt |$noEnv|) + env)))) + (list '|/throwAway| (|getmode| argf env) env ))))))) \end{chunk} -\defun{postDefArgs}{postDefArgs} -\calls{postDefArgs}{postError} -\calls{postDefArgs}{postDefArgs} -\begin{chunk}{defun postDefArgs} -(defun |postDefArgs| (args) - (let (a b) - (cond - ((null args) args) - ((and (pairp args) (pairp (qcar args)) (eq (qcar (qcar args)) '|:|) - (pairp (qcdr (qcar args))) (eq (qcdr (qcdr (qcar args))) nil)) - (setq a (qcar (qcdr (qcar args)))) - (setq b (qcdr args)) - (cond - (b (|postError| - (list " Argument" a "of indefinite length must be last"))) - ((or (atom a) (and (pairp a) (eq (qcar a) 'quote))) - a) - (t - (|postError| - (list " Argument" a "of indefinite length must be a name"))))) - (t (cons (car args) (|postDefArgs| (cdr args))))))) +\defun{makeCategoryForm}{makeCategoryForm} +\calls{makeCategoryForm}{isCategoryForm} +\calls{makeCategoryForm}{compOrCroak} +\refsdollar{makeCategoryForm}{EmptyMode} +\begin{chunk}{defun makeCategoryForm} +(defun |makeCategoryForm| (c env) + (let (tmp1) + (declare (special |$EmptyMode|)) + (when (|isCategoryForm| c env) + (setq tmp1 (|compOrCroak| c |$EmptyMode| env)) + (list (first tmp1) (third tmp1))))) \end{chunk} -\defplist{$=>$}{postExit} +\defplist{cons}{compCons plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|=>| '|postTran|) '|postExit|)) + (setf (get 'cons 'special) '|compCons|)) \end{chunk} -\defun{postExit}{postExit} -\calls{postExit}{postTran} -\begin{chunk}{defun postExit} -(defun |postExit| (arg) - (list 'if (|postTran| (second arg)) - (list '|exit| (|postTran| (third arg))) - '|noBranch|)) +\defun{compCons}{compCons} +\calls{compCons}{compCons1} +\calls{compCons}{compForm} +\begin{chunk}{defun compCons} +(defun |compCons| (form mode env) + (or (|compCons1| form mode env) (|compForm| form mode env))) + +\end{chunk} + +\defun{compCons1}{compCons1} +\calls{compCons1}{comp} +\calls{compCons1}{convert} +\calls{compCons1}{qcar} +\calls{compCons1}{qcdr} +\usesdollar{compCons1}{EmptyMode} +\begin{chunk}{defun compCons1} +(defun |compCons1| (arg mode env) + (let (mx y my yt mp mr ytp tmp1 x td) + (declare (special |$EmptyMode|)) + (setq x (second arg)) + (setq y (third arg)) + (when (setq tmp1 (|comp| x |$EmptyMode| env)) + (setq x (first tmp1)) + (setq mx (second tmp1)) + (setq env (third tmp1)) + (cond + ((null y) + (|convert| (list (list 'list x) (list '|List| mx) env ) mode)) + (t + (when (setq yt (|comp| y |$EmptyMode| env)) + (setq y (first yt)) + (setq my (second yt)) + (setq env (third yt)) + (setq td + (cond + ((and (consp my) (eq (qfirst my) '|List|) (consp (qrest my))) + (setq mp (second my)) + (when (setq mr (list '|List| (|resolve| mp mx))) + (when (setq ytp (|convert| yt mr)) + (when (setq tmp1 (|convert| (list x mx (third ytp)) (second mr))) + (setq x (first tmp1)) + (setq env (third tmp1)) + (cond + ((and (consp (car ytp)) (eq (qfirst (car ytp)) 'list)) + (list (cons 'list (cons x (cdr (car ytp)))) mr env)) + (t + (list (list 'cons x (car ytp)) mr env))))))) + (t + (list (list 'cons x y) (list '|Pair| mx my) env )))) + (|convert| td mode))))))) \end{chunk} -\defplist{if}{postIf} +\defplist{construct}{compConstruct plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|if| '|postTran|) '|postIf|)) + (setf (get '|construct| 'special) '|compConstruct|)) \end{chunk} -\defun{postIf}{postIf} -\calls{postIf}{nreverse0} -\calls{postIf}{postTran} -\usesdollar{postIf}{boot} -\begin{chunk}{defun postIf} -(defun |postIf| (arg) - (let (tmp1) - (if (null (and (pairp arg) (eq (qcar arg) '|if|))) - arg - (cons 'if - (dolist (x (qcdr arg) (nreverse0 tmp1)) - (push - (if (and (null (setq x (|postTran| x))) (null $boot)) '|noBranch| x) - tmp1)))))) +\defun{compConstruct}{compConstruct} +\calls{compConstruct}{modeIsAggregateOf} +\calls{compConstruct}{compList} +\calls{compConstruct}{convert} +\calls{compConstruct}{compForm} +\calls{compConstruct}{compVector} +\calls{compConstruct}{getDomainsInScope} +\begin{chunk}{defun compConstruct} +(defun |compConstruct| (form mode env) + (let (z y td tp) + (setq z (cdr form)) + (cond + ((setq y (|modeIsAggregateOf| '|List| mode env)) + (if (setq td (|compList| z (list '|List| (cadr y)) env)) + (|convert| td mode) + (|compForm| form mode env))) + ((setq y (|modeIsAggregateOf| '|Vector| mode env)) + (if (setq td (|compVector| z (list '|Vector| (cadr y)) env)) + (|convert| td mode) + (|compForm| form mode env))) + ((setq td (|compForm| form mode env)) td) + (t + (dolist (d (|getDomainsInScope| env)) + (cond + ((and (setq y (|modeIsAggregateOf| '|List| d env)) + (setq td (|compList| z (list '|List| (cadr y)) env)) + (setq tp (|convert| td mode))) + (return tp)) + ((and (setq y (|modeIsAggregateOf| '|Vector| d env)) + (setq td (|compVector| z (list '|Vector| (cadr y)) env)) + (setq tp (|convert| td mode))) + (return tp)))))))) \end{chunk} -\defplist{in}{postin} +\defplist{ListCategory}{compConstructorCategory plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|in| '|postTran|) '|postin|)) + (setf (get '|ListCategory| 'special) '|compConstructorCategory|)) \end{chunk} -\defun{postin}{postin} -\calls{postin}{systemErrorHere} -\calls{postin}{postTran} -\calls{postin}{postInSeq} -\begin{chunk}{defun postin} -(defun |postin| (arg) - (if (null (and (pairp arg) (eq (qcar arg) '|in|) (pairp (qcdr arg)) - (pairp (qcdr (qcdr arg))) (eq (qcdr (qcdr (qcdr arg))) nil))) - (|systemErrorHere| "postin") - (list '|in| (|postTran| (second arg)) (|postInSeq| (third arg))))) +\defplist{RecordCategory}{compConstructorCategory plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|RecordCategory| 'special) '|compConstructorCategory|)) \end{chunk} -\defun{postInSeq}{postInSeq} -\calls{postInSeq}{postTranSegment} -\calls{postInSeq}{tuple2List} -\calls{postInSeq}{postTran} -\begin{chunk}{defun postInSeq} -(defun |postInSeq| (seq) - (cond - ((and (pairp seq) (eq (qcar seq) 'segment) (pairp (qcdr seq)) - (pairp (qcdr (qcdr seq))) (eq (qcdr (qcdr (qcdr seq))) nil)) - (|postTranSegment| (second seq) (third seq))) - ((and (pairp seq) (eq (qcar seq) '|@Tuple|)) - (|tuple2List| (qcdr seq))) - (t (|postTran| seq)))) +\defplist{UnionCategory}{compConstructorCategory plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|UnionCategory| 'special) '|compConstructorCategory|)) \end{chunk} -\defplist{In}{postIn} +\defplist{VectorCategory}{compConstructorCategory plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get 'in '|postTran|) '|postIn|)) + (setf (get '|VectorCategory| 'special) '|compConstructorCategory|)) \end{chunk} -\defun{postIn}{postIn} -\calls{postIn}{systemErrorHere} -\calls{postIn}{postTran} -\calls{postIn}{postInSeq} -\begin{chunk}{defun postIn} -(defun |postIn| (arg) - (if (null (and (pairp arg) (eq (qcar arg) 'in) (pairp (qcdr arg)) - (pairp (qcdr (qcdr arg))) (eq (qcdr (qcdr (qcdr arg))) nil))) - (|systemErrorHere| "postIn") - (list 'in (|postTran| (second arg)) (|postInSeq| (third arg))))) +\defun{compConstructorCategory}{compConstructorCategory} +\calls{compConstructorCategory}{resolve} +\usesdollar{compConstructorCategory}{Category} +\begin{chunk}{defun compConstructorCategory} +(defun |compConstructorCategory| (form mode env) + (declare (special |$Category|)) + (list form (|resolve| |$Category| mode) env)) \end{chunk} -\defplist{Join}{postJoin} +\defplist{def}{compDefine plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|Join| '|postTran|) '|postJoin|)) + (setf (get 'def 'special) '|compDefine|)) \end{chunk} -\defun{postJoin}{postJoin} -\calls{postJoin}{postTran} -\calls{postJoin}{postTranList} -\begin{chunk}{defun postJoin} -(defun |postJoin| (arg) - (let (a l al) - (setq a (|postTran| (cadr arg))) - (setq l (|postTranList| (cddr arg))) - (when (and (pairp l) (eq (qcdr l) nil) (pairp (qcar l)) - (member (qcar (qcar l)) '(attribute signature))) - (setq l (list (list 'category (qcar l))))) - (setq al (if (and (pairp a) (eq (qcar a) '|@Tuple|)) (qcdr a) (list a))) - (cons '|Join| (append al l)))) +\defun{compDefine}{compDefine} +\calls{compDefine}{compDefine1} +\usesdollar{compDefine}{tripleCache} +\usesdollar{compDefine}{tripleHits} +\usesdollar{compDefine}{macroIfTrue} +\usesdollar{compDefine}{packagesUsed} +\begin{chunk}{defun compDefine} +(defun |compDefine| (form mode env) + (let (|$tripleCache| |$tripleHits| |$macroIfTrue| |$packagesUsed|) + (declare (special |$tripleCache| |$tripleHits| |$macroIfTrue| + |$packagesUsed|)) + (setq |$tripleCache| nil) + (setq |$tripleHits| 0) + (setq |$macroIfTrue| nil) + (setq |$packagesUsed| nil) + (|compDefine1| form mode env))) \end{chunk} -\defplist{$->$}{postMapping} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|->| '|postTran|) '|postMapping|)) +\defun{compDefine1}{compDefine1} +\calls{compDefine1}{macroExpand} +\calls{compDefine1}{isMacro} +\calls{compDefine1}{getSignatureFromMode} +\calls{compDefine1}{compDefine1} +\calls{compDefine1}{compInternalFunction} +\calls{compDefine1}{compDefineAddSignature} +\calls{compDefine1}{compDefWhereClause} +\calls{compDefine1}{compDefineCategory} +\calls{compDefine1}{isDomainForm} +\calls{compDefine1}{getTargetFromRhs} +\calls{compDefine1}{giveFormalParametersValues} +\calls{compDefine1}{addEmptyCapsuleIfNecessary} +\calls{compDefine1}{compDefineFunctor} +\calls{compDefine1}{stackAndThrow} +\calls{compDefine1}{strconc} +\calls{compDefine1}{getAbbreviation} +\calls{compDefine1}{length} +\calls{compDefine1}{compDefineCapsuleFunction} +\usesdollar{compDefine1}{insideExpressionIfTrue} +\usesdollar{compDefine1}{formalArgList} +\usesdollar{compDefine1}{form} +\usesdollar{compDefine1}{op} +\usesdollar{compDefine1}{prefix} +\usesdollar{compDefine1}{insideFunctorIfTrue} +\usesdollar{compDefine1}{Category} +\usesdollar{compDefine1}{insideCategoryIfTrue} +\usesdollar{compDefine1}{insideCapsuleFunctionIfTrue} +\usesdollar{compDefine1}{ConstructorNames} +\usesdollar{compDefine1}{NoValueMode} +\usesdollar{compDefine1}{EmptyMode} +\usesdollar{compDefine1}{insideWhereIfTrue} +\usesdollar{compDefine1}{insideExpressionIfTrue} +\begin{chunk}{defun compDefine1} +(defun |compDefine1| (form mode env) + (let (|$insideExpressionIfTrue| lhs specialCases sig signature rhs newPrefix + (tmp1 t)) + (declare (special |$insideExpressionIfTrue| |$formalArgList| |$form| + |$op| |$prefix| |$insideFunctorIfTrue| |$Category| + |$insideCategoryIfTrue| |$insideCapsuleFunctionIfTrue| + |$ConstructorNames| |$NoValueMode| |$EmptyMode| + |$insideWhereIfTrue| |$insideExpressionIfTrue|)) + (setq |$insideExpressionIfTrue| nil) + (setq form (|macroExpand| form env)) + (setq lhs (second form)) + (setq signature (third form)) + (setq specialCases (fourth form)) + (setq rhs (fifth form)) + (cond + ((and |$insideWhereIfTrue| + (|isMacro| form env) + (or (equal mode |$EmptyMode|) (equal mode |$NoValueMode|))) + (list lhs mode (|put| (car lhs) '|macro| rhs env))) + ((and (null (car signature)) (consp rhs) + (null (member (qfirst rhs) |$ConstructorNames|)) + (setq sig (|getSignatureFromMode| lhs env))) + (|compDefine1| + (list 'def lhs (cons (car sig) (cdr signature)) specialCases rhs) + mode env)) + (|$insideCapsuleFunctionIfTrue| (|compInternalFunction| form mode env)) + (t + (when (equal (car signature) |$Category|) (setq |$insideCategoryIfTrue| t)) + (setq env (|compDefineAddSignature| lhs signature env)) + (cond + ((null (dolist (x (rest signature) tmp1) (setq tmp1 (and tmp1 (null x))))) + (|compDefWhereClause| form mode env)) + ((equal (car signature) |$Category|) + (|compDefineCategory| form mode env nil |$formalArgList|)) + ((and (|isDomainForm| rhs env) (null |$insideFunctorIfTrue|)) + (when (null (car signature)) + (setq signature + (cons (|getTargetFromRhs| lhs rhs + (|giveFormalParametersValues| (cdr lhs) env)) + (cdr signature)))) + (setq rhs (|addEmptyCapsuleIfNecessary| (car signature) rhs)) + (|compDefineFunctor| + (list 'def lhs signature specialCases rhs) + mode env NIL |$formalArgList|)) + ((null |$form|) + (|stackAndThrow| (list "bad == form " form))) + (t + (setq newPrefix + (if |$prefix| + (intern (strconc (|encodeItem| |$prefix|) "," (|encodeItem| |$op|))) + (|getAbbreviation| |$op| (|#| (cdr |$form|))))) + (|compDefineCapsuleFunction| + form mode env newPrefix |$formalArgList|))))))) \end{chunk} -\defun{postMapping}{postMapping} -\calls{postMapping}{postTran} -\calls{postMapping}{unTuple} -\begin{chunk}{defun postMapping} -(defun |postMapping| (u) - (if (null (and (pairp u) (eq (qcar u) '->) (pairp (qcdr u)) - (pairp (qcdr (qcdr u))) (eq (qcdr (qcdr (qcdr u))) nil))) - u - (cons '|Mapping| - (cons (|postTran| (third u)) - (|unTuple| (|postTran| (second u))))))) +\defun{getAbbreviation}{getAbbreviation} +\calls{getAbbreviation}{constructor?} +\calls{getAbbreviation}{assq} +\calls{getAbbreviation}{mkAbbrev} +\calls{getAbbreviation}{rplac} +\refsdollar{getAbbreviation}{abbreviationTable} +\defsdollar{getAbbreviation}{abbreviationTable} +\begin{chunk}{defun getAbbreviation} +(defun |getAbbreviation| (name c) + (let (cname x n upc newAbbreviation) + (declare (special |$abbreviationTable|)) + (setq cname (|constructor?| name)) + (cond + ((setq x (assq cname |$abbreviationTable|)) + (cond + ((setq n (assq name (cdr x))) + (cond + ((setq upc (assq c (cdr n))) + (cdr upc)) + (t + (setq newAbbreviation (|mkAbbrev| x cname)) + (rplac (cdr n) (cons (cons c newAbbreviation) (cdr n))) + newAbbreviation))) + (t + (setq newAbbreviation (|mkAbbrev| x x)) + (rplac (cdr x) + (cons (cons name (list (cons c newAbbreviation))) (cdr x))) + newAbbreviation))) + (t + (setq |$abbreviationTable| + (cons (list cname (list name (cons c cname))) |$abbreviationTable|)) + cname)))) \end{chunk} -\defplist{$==>$}{postMDef} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|==>| '|postTran|) '|postMDef|)) +\defun{mkAbbrev}{mkAbbrev} +\calls{mkAbbrev}{addSuffix} +\calls{mkAbbrev}{alistSize} +\begin{chunk}{defun mkAbbrev} +(defun |mkAbbrev| (x z) + (|addSuffix| (|alistSize| (cdr x)) z)) \end{chunk} -\defun{postMDef}{postMDef} -\calls{postMDef}{postTran} -\calls{postMDef}{throwkeyedmsg} -\calls{postMDef}{nreverse0} -\usesdollar{postMDef}{InteractiveMode} -\usesdollar{postMDef}{boot} -\begin{chunk}{defun postMDef} -(defun |postMDef| (arg) - (let (rhs lhs tmp1 targetType form newLhs typeList tmp4 tmp5 tmp8) - (declare (special |$InteractiveMode| $boot)) - (setq lhs (second arg)) - (setq rhs (third arg)) +\defun{addSuffix}{addSuffix} +\begin{chunk}{defun addSuffix} +(defun |addSuffix| (n u) + (let (s) + (if (alpha-char-p (elt (spadlet s (stringimage u)) (maxindex s))) + (intern (strconc s (stringimage n))) + (internl (strconc s (stringimage '|;|) (stringimage n)))))) + +\end{chunk} + +\defun{alistSize}{alistSize} +\begin{chunk}{defun alistSize} +(defun |alistSize| (c) + (labels ( + (count (x level) + (cond + ((eql level 2) (|#| x)) + ((null x) 0) + (+ (count (cdar x) (1+ level)) + (count (cdr x) level))))) + (count c 1))) + +\end{chunk} + +\defun{getSignatureFromMode}{getSignatureFromMode} +\calls{getSignatureFromMode}{getmode} +\calls{getSignatureFromMode}{opOf} +\calls{getSignatureFromMode}{qcar} +\calls{getSignatureFromMode}{qcdr} +\calls{getSignatureFromMode}{nequal} +\calls{getSignatureFromMode}{length} +\calls{getSignatureFromMode}{stackAndThrow} +\calls{getSignatureFromMode}{eqsubstlist} +\calls{getSignatureFromMode}{take} +\refsdollar{getSignatureFromMode}{FormalMapVariableList} +\begin{chunk}{defun getSignatureFromMode} +(defun |getSignatureFromMode| (form env) + (let (tmp1 signature) + (declare (special |$FormalMapVariableList|)) + (setq tmp1 (|getmode| (|opOf| form) env)) + (when (and (consp tmp1) (eq (qfirst tmp1) '|Mapping|)) + (setq signature (qrest tmp1)) + (if (nequal (|#| form) (|#| signature)) + (|stackAndThrow| (list '|Wrong number of arguments: | form)) + (eqsubstlist (cdr form) + (take (|#| (cdr form)) |$FormalMapVariableList|) + signature))))) + +\end{chunk} + +\defun{compInternalFunction}{compInternalFunction} +\calls{compInternalFunction}{identp} +\calls{compInternalFunction}{stackAndThrow} +\begin{chunk}{defun compInternalFunction} +(defun |compInternalFunction| (df m env) + (let (form signature specialCases body op argl nbody nf ress) + (setq form (second df)) + (setq signature (third df)) + (setq specialCases (fourth df)) + (setq body (fifth df)) + (setq op (first form)) + (setq argl (rest form)) (cond - ((and |$InteractiveMode| (null $boot)) - (setq lhs (|postTran| lhs)) - (if (null (identp lhs)) - (|throwkeyedmsg| 's2ip0001 nil) - (list 'mdef lhs nil nil (|postTran| rhs)))) + ((null (identp op)) + (|stackAndThrow| (list '|Bad name for internal function:| op))) + ((eql (|#| argl) 0) + (|stackAndThrow| + (list '|Argumentless internal functions unsupported:| op ))) (t - (setq lhs (|postTran| lhs)) - (setq tmp1 - (if (and (pairp lhs) (eq (qcar lhs) '|:|)) (cdr lhs) (list lhs nil))) - (setq form (first tmp1)) - (setq targetType (second tmp1)) - (setq form (if (atom form) (list form) form)) - (setq newLhs - (dolist (x form (nreverse0 tmp4)) - (push - (if (and (pairp x) (eq (qcar x) '|:|) (pairp (qcdr x))) (second x) x) - tmp4))) - (setq typeList - (cons targetType - (dolist (x (qcdr form) (nreverse0 tmp5)) - (push - (when (and (pairp x) (eq (qcar x) '|:|) (pairp (qcdr x)) - (pairp (qcdr (qcdr x))) (eq (qcdr (qcdr (qcdr x))) nil)) - (third x)) - tmp5)))) - (list 'mdef newLhs typeList - (dolist (x form (nreverse0 tmp8)) (push nil tmp8)) - (|postTran| rhs)))))) + (setq nbody (list '+-> argl body)) + (setq nf (list 'let (list '|:| op (cons '|Mapping| signature)) nbody)) + (setq ress (|comp| nf m env)) ress)))) + +\end{chunk} + +\defun{compDefineCapsuleFunction}{compDefineCapsuleFunction} +\calls{compDefineCapsuleFunction}{length} +\calls{compDefineCapsuleFunction}{get} +\calls{compDefineCapsuleFunction}{profileRecord} +\calls{compDefineCapsuleFunction}{compArgumentConditions} +\calls{compDefineCapsuleFunction}{addDomain} +\calls{compDefineCapsuleFunction}{giveFormalParametersValues} +\calls{compDefineCapsuleFunction}{getSignature} +\calls{compDefineCapsuleFunction}{put} +\calls{compDefineCapsuleFunction}{stripOffSubdomainConditions} +\calls{compDefineCapsuleFunction}{getArgumentModeOrMoan} +\calls{compDefineCapsuleFunction}{checkAndDeclare} +\calls{compDefineCapsuleFunction}{hasSigInTargetCategory} +\calls{compDefineCapsuleFunction}{stripOffArgumentConditions} +\calls{compDefineCapsuleFunction}{resolve} +\calls{compDefineCapsuleFunction}{member} +\calls{compDefineCapsuleFunction}{getmode} +\calls{compDefineCapsuleFunction}{formatUnabbreviated} +\calls{compDefineCapsuleFunction}{sayBrightly} +\calls{compDefineCapsuleFunction}{compOrCroak} +\calls{compDefineCapsuleFunction}{NRTassignCapsuleFunctionSlot} +\calls{compDefineCapsuleFunction}{mkq} +\calls{compDefineCapsuleFunction}{replaceExitEtc} +\calls{compDefineCapsuleFunction}{addArgumentConditions} +\calls{compDefineCapsuleFunction}{compileCases} +\calls{compDefineCapsuleFunction}{addStats} +\refsdollar{compDefineCapsuleFunction}{semanticErrorStack} +\refsdollar{compDefineCapsuleFunction}{DomainsInScope} +\refsdollar{compDefineCapsuleFunction}{op} +\refsdollar{compDefineCapsuleFunction}{formalArgList} +\refsdollar{compDefineCapsuleFunction}{signatureOfForm} +\refsdollar{compDefineCapsuleFunction}{functionLocations} +\refsdollar{compDefineCapsuleFunction}{profileCompiler} +\refsdollar{compDefineCapsuleFunction}{compileOnlyCertainItems} +\refsdollar{compDefineCapsuleFunction}{returnMode} +\refsdollar{compDefineCapsuleFunction}{functorStats} +\refsdollar{compDefineCapsuleFunction}{functionStats} +\defsdollar{compDefineCapsuleFunction}{form} +\defsdollar{compDefineCapsuleFunction}{functionStats} +\defsdollar{compDefineCapsuleFunction}{argumentConditionList} +\defsdollar{compDefineCapsuleFunction}{finalEnv} +\defsdollar{compDefineCapsuleFunction}{initCapsuleErrorCount} +\defsdollar{compDefineCapsuleFunction}{insideCapsuleFunctionIfTrue} +\defsdollar{compDefineCapsuleFunction}{CapsuleModemapFrame} +\defsdollar{compDefineCapsuleFunction}{CapsuleDomainsInScope} +\defsdollar{compDefineCapsuleFunction}{insideExpressionIfTrue} +\defsdollar{compDefineCapsuleFunction}{returnMode} +\defsdollar{compDefineCapsuleFunction}{op} +\defsdollar{compDefineCapsuleFunction}{formalArgList} +\defsdollar{compDefineCapsuleFunction}{signatureOfForm} +\defsdollar{compDefineCapsuleFunction}{functionLocations} +\begin{chunk}{defun compDefineCapsuleFunction} +(defun |compDefineCapsuleFunction| (df m oldE |$prefix| |$formalArgList|) + (declare (special |$prefix| |$formalArgList|)) + (let (|$form| |$op| |$functionStats| |$argumentConditionList| |$finalEnv| + |$initCapsuleErrorCount| |$insideCapsuleFunctionIfTrue| + |$CapsuleModemapFrame| |$CapsuleDomainsInScope| + |$insideExpressionIfTrue| form signature body tmp1 lineNumber + specialCases argl identSig argModeList signaturep e rettype tmp2 + localOrExported formattedSig tt catchTag bodyp finalBody fun val) + (declare (special |$form| |$op| |$functionStats| |$functorStats| + |$argumentConditionList| |$finalEnv| |$returnMode| + |$initCapsuleErrorCount| |$newCompCompare| |$NoValueMode| + |$insideCapsuleFunctionIfTrue| + |$CapsuleModemapFrame| |$CapsuleDomainsInScope| + |$insideExpressionIfTrue| |$compileOnlyCertainItems| + |$profileCompiler| |$functionLocations| |$finalEnv| + |$signatureOfForm| |$semanticErrorStack|)) + (setq form (second df)) + (setq signature (third df)) + (setq specialCases (fourth df)) + (setq body (fifth df)) + (setq tmp1 specialCases) + (setq lineNumber (first tmp1)) + (setq specialCases (rest tmp1)) + (setq e oldE) +;-1. bind global variables + (setq |$form| nil) + (setq |$op| nil) + (setq |$functionStats| (list 0 0)) + (setq |$argumentConditionList| nil) + (setq |$finalEnv| nil) +; used by ReplaceExitEtc to get a common environment + (setq |$initCapsuleErrorCount| (|#| |$semanticErrorStack|)) + (setq |$insideCapsuleFunctionIfTrue| t) + (setq |$CapsuleModemapFrame| e) + (setq |$CapsuleDomainsInScope| (|get| '|$DomainsInScope| 'special e)) + (setq |$insideExpressionIfTrue| t) + (setq |$returnMode| m) + (setq |$op| (first form)) + (setq argl (rest form)) + (setq |$form| (cons |$op| argl)) + (setq argl (|stripOffArgumentConditions| argl)) + (setq |$formalArgList| (append argl |$formalArgList|)) +; let target and local signatures help determine modes of arguments + (setq argModeList + (cond + ((setq identSig (|hasSigInTargetCategory| argl form (car signature) e)) + (setq e (|checkAndDeclare| argl form identSig e)) + (cdr identSig)) + (t + (loop for a in argl + collect (|getArgumentModeOrMoan| a form e))))) + (setq argModeList (|stripOffSubdomainConditions| argModeList argl)) + (setq signaturep (cons (car signature) argModeList)) + (unless identSig + (setq oldE (|put| |$op| '|mode| (cons '|Mapping| signaturep) oldE))) +; obtain target type if not given + (cond + ((null (car signaturep)) + (setq signaturep + (cond + (identSig identSig) + (t (|getSignature| |$op| (cdr signaturep) e)))))) + (when signaturep + (setq e (|giveFormalParametersValues| argl e)) + (setq |$signatureOfForm| signaturep) + (setq |$functionLocations| + (cons (cons (list |$op| |$signatureOfForm|) lineNumber) + |$functionLocations|)) + (setq e (|addDomain| (car signaturep) e)) + (setq e (|compArgumentConditions| e)) + (when |$profileCompiler| + (loop for x in argl for y in signaturep + do (|profileRecord| '|arguments| x y))) +; 4. introduce needed domains into extendedEnv + (loop for domain in signaturep + do (setq e (|addDomain| domain e))) +; 6. compile body in environment with extended environment + (setq rettype (|resolve| (car signaturep) |$returnMode|)) + (setq localOrExported + (cond + ((and (null (|member| |$op| |$formalArgList|)) + (progn + (setq tmp2 (|getmode| |$op| e)) + (and (consp tmp2) (eq (qfirst tmp2) '|Mapping|)))) + '|local|) + (t '|exported|))) +; 6a skip if compiling only certain items but not this one +; could be moved closer to the top + (setq formattedSig (|formatUnabbreviated| (cons '|Mapping| signaturep))) + (cond + ((and |$compileOnlyCertainItems| + (null (|member| |$op| |$compileOnlyCertainItems|))) + (|sayBrightly| + (cons " skipping " (cons localOrExported (|bright| |$op|)))) + (list nil (cons '|Mapping| signaturep) oldE)) + (t + (|sayBrightly| + (cons " compiling " (cons localOrExported (append (|bright| |$op|) + (cons ": " formattedSig))))) + (setq tt (catch '|compCapsuleBody| (|compOrCroak| body rettype e))) + (|NRTassignCapsuleFunctionSlot| |$op| signaturep) +; A THROW to the above CATCH occurs if too many semantic errors occur +; see stackSemanticError + (setq catchTag (mkq (gensym))) + (setq fun + (progn + (setq bodyp + (|replaceExitEtc| (car tt) catchTag '|TAGGEDreturn| |$returnMode|)) + (setq bodyp (|addArgumentConditions| bodyp |$op|)) + (setq finalBody (list 'catch catchTag bodyp)) + (|compileCases| + (list |$op| (list 'lam (append argl (list '$)) finalBody)) + oldE))) + (setq |$functorStats| (|addStats| |$functorStats| |$functionStats|)) +; 7. give operator a 'value property + (setq val (list fun signaturep e)) + (list fun (list '|Mapping| signaturep) oldE)))))) \end{chunk} -\defplist{pretend}{postPretend} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|pretend| '|postTran|) '|postPretend|)) +\defun{compileCases}{compileCases} +\calls{compileCases}{eval} +\calls{compileCases}{qcar} +\calls{compileCases}{qcdr} +\calls{compileCases}{msubst} +\calls{compileCases}{compile} +\calls{compileCases}{getSpecialCaseAssoc} +\calls{compileCases}{get} +\calls{compileCases}{assocleft} +\calls{compileCases}{outerProduct} +\calls{compileCases}{assocright} +\calls{compileCases}{mkpf} +\refsdollar{compileCases}{getDomainCode} +\refsdollar{compileCases}{insideFunctorIfTrue} +\defsdollar{compileCases}{specialCaseKeyList} +\begin{chunk}{defun compileCases} +(defun |compileCases| (x |$e|) + (declare (special |$e|)) + (labels ( + (isEltArgumentIn (Rlist x) + (cond + ((atom x) nil) + ((and (consp x) (eq (qfirst x) 'elt) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (or (member (second x) Rlist) + (isEltArgumentIn Rlist (cdr x)))) + ((and (consp x) (eq (qfirst x) 'qrefelt) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (or (member (second x) Rlist) + (isEltArgumentIn Rlist (cdr x)))) + (t + (or (isEltArgumentIn Rlist (car x)) + (isEltArgumentIn Rlist (CDR x)))))) + (FindNamesFor (r rp) + (let (v u) + (declare (special |$getDomainCode|)) + (cons r + (loop for item in |$getDomainCode| + do + (setq v (second item)) + (setq u (third item)) + when (and (equal (second u) r) (|eval| (msubst rp r u))) + collect v))))) + (let (|$specialCaseKeyList| specialCaseAssoc listOfDomains listOfAllCases cl) + (declare (special |$specialCaseKeyList| |$true| |$insideFunctorIfTrue|)) + (setq |$specialCaseKeyList| nil) + (cond + ((null (eq |$insideFunctorIfTrue| t)) (|compile| x)) + (t + (setq specialCaseAssoc + (loop for y in (|getSpecialCaseAssoc|) + when (and (null (|get| (first y) '|specialCase| |$e|)) + (isEltArgumentIn (FindNamesFor (first y) (second y)) x)) + collect y)) + (cond + ((null specialCaseAssoc) (|compile| x)) + (t + (setq listOfDomains (assocleft specialCaseAssoc)) + (setq listOfAllCases (|outerProduct| (assocright specialCaseAssoc))) + (setq cl + (loop for z in listOfAllCases + collect + (progn + (setq |$specialCaseKeyList| + (loop for d in listOfDomains for c in z + collect (cons d c))) + (cons + (mkpf + (loop for d in listOfDomains for c in z + collect (list 'equal d c)) + 'and) + (list (|compile| (copy x))))))) + (setq |$specialCaseKeyList| nil) + (cons 'cond (append cl (list (list |$true| (|compile| x)))))))))))) \end{chunk} -\defun{postPretend}{postPretend} -\calls{postPretend}{postTran} -\calls{postPretend}{postType} -\begin{chunk}{defun postPretend} -(defun |postPretend| (arg) - (cons '|pretend| (cons (|postTran| (second arg)) (|postType| (third arg))))) +\defun{getSpecialCaseAssoc}{getSpecialCaseAssoc} +\refsdollar{getSpecialCaseAssoc}{functorForm} +\refsdollar{getSpecialCaseAssoc}{functorSpecialCases} +\begin{chunk}{defun getSpecialCaseAssoc} +(defun |getSpecialCaseAssoc| () + (declare (special |$functorSpecialCases| |$functorForm|)) + (loop for r in (rest |$functorForm|) + for z in (rest |$functorSpecialCases|) + when z + collect (cons r z))) \end{chunk} -\defplist{quote}{postQUOTE} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'quote '|postTran|) '|postQUOTE|)) +\defun{addArgumentConditions}{addArgumentConditions} +\calls{addArgumentConditions}{qcar} +\calls{addArgumentConditions}{qcdr} +\calls{addArgumentConditions}{mkq} +\calls{addArgumentConditions}{systemErrorHere} +\refsdollar{addArgumentConditions}{true} +\refsdollar{addArgumentConditions}{functionName} +\refsdollar{addArgumentConditions}{body} +\refsdollar{addArgumentConditions}{argumentConditionList} +\defsdollar{addArgumentConditions}{argumentConditionList} +\begin{chunk}{defun addArgumentConditions} +(defun |addArgumentConditions| (|$body| |$functionName|) + (declare (special |$body| |$functionName| |$argumentConditionList| |$true|)) + (labels ( + (fn (clist) + (let (n untypedCondition typedCondition) + (cond + ((and (consp clist) (consp (qfirst clist)) (consp (qcdar clist)) + (consp (qcddar clist)) + (eq (qcdddar clist) nil)) + (setq n (qcaar clist)) + (setq untypedCondition (qcadar clist)) + (setq typedCondition (qcaddar clist)) + (list 'cond + (list typedCondition (fn (cdr clist))) + (list |$true| + (list '|argumentDataError| n + (mkq untypedCondition) (mkq |$functionName|))))) + ((null clist) |$body|) + (t (|systemErrorHere| "addArgumentConditions")))))) + (if |$argumentConditionList| + (fn |$argumentConditionList|) + |$body|))) + \end{chunk} -\defun{postQUOTE}{postQUOTE} -\begin{chunk}{defun postQUOTE} -(defun |postQUOTE| (arg) arg) +\defun{compArgumentConditions}{compArgumentConditions} +\calls{compArgumentConditions}{msubst} +\calls{compArgumentConditions}{compOrCroak} +\refsdollar{compArgumentConditions}{Boolean} +\refsdollar{compArgumentConditions}{argumentConditionList} +\defsdollar{compArgumentConditions}{argumentConditionList} +\begin{chunk}{defun compArgumentConditions} +(defun |compArgumentConditions| (env) + (let (n a x y tmp1) + (declare (special |$Boolean| |$argumentConditionList|)) + (setq |$argumentConditionList| + (loop for item in |$argumentConditionList| + do + (setq n (first item)) + (setq a (second item)) + (setq x (third item)) + (setq y (msubst a '|#1| x)) + (setq tmp1 (|compOrCroak| y |$Boolean| env)) + (setq env (third tmp1)) + collect + (list n x (first tmp1)))) + env)) \end{chunk} -\defplist{reduce}{postReduce} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Reduce| '|postTran|) '|postReduce|)) +\defun{stripOffSubdomainConditions}{stripOffSubdomainConditions} +\calls{stripOffSubdomainConditions}{qcar} +\calls{stripOffSubdomainConditions}{qcdr} +\calls{stripOffSubdomainConditions}{assoc} +\calls{stripOffSubdomainConditions}{mkpf} +\refsdollar{stripOffSubdomainConditions}{argumentConditionList} +\defsdollar{stripOffSubdomainConditions}{argumentConditionList} +\begin{chunk}{defun stripOffSubdomainConditions} +(defun |stripOffSubdomainConditions| (margl argl) + (let (pair (i 0)) + (declare (special |$argumentConditionList|)) + (loop for x in margl for arg in argl + do (incf i) + collect + (cond + ((and (consp x) (eq (qfirst x) '|SubDomain|) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (cond + ((setq pair (|assoc| i |$argumentConditionList|)) + (rplac (cadr pair) (mkpf (list (third x) (cadr pair)) 'and)) + (second x)) + (t + (setq |$argumentConditionList| + (cons (list i arg (third x)) |$argumentConditionList|)) + (second x)))) + (t x))))) \end{chunk} -\defun{postReduce}{postReduce} -\calls{postReduce}{postTran} -\calls{postReduce}{postReduce} -\usesdollar{postReduce}{InteractiveMode} -\begin{chunk}{defun postReduce} -(defun |postReduce| (arg) - (let (op expr g) - (setq op (second arg)) - (setq expr (third arg)) - (if (or |$InteractiveMode| (and (pairp expr) (eq (qcar expr) 'collect))) - (list 'reduce op 0 (|postTran| expr)) - (|postReduce| - (list '|Reduce| op - (list 'collect - (list 'in (setq g (gensym)) expr) - (list '|construct| g))))))) +\defun{stripOffArgumentConditions}{stripOffArgumentConditions} +\calls{stripOffArgumentConditions}{qcar} +\calls{stripOffArgumentConditions}{qcdr} +\calls{stripOffArgumentConditions}{msubst} +\refsdollar{stripOffArgumentConditions}{argumentConditionList} +\defsdollar{stripOffArgumentConditions}{argumentConditionList} +\begin{chunk}{defun stripOffArgumentConditions} +(defun |stripOffArgumentConditions| (argl) + (let (condition (i 0)) + (declare (special |$argumentConditionList|)) + (loop for x in argl + do (incf i) + collect + (cond + ((and (consp x) (eq (qfirst x) '|\||) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (setq condition (msubst '|#1| (second x) (third x))) + (setq |$argumentConditionList| + (cons (list i (second x) condition) |$argumentConditionList|)) + (second x)) + (t x))))) \end{chunk} -\defplist{repeat}{postRepeat} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get 'repeat '|postTran|) '|postRepeat|)) +\defun{getSignature}{getSignature} +Try to return a signature. If there isn't one, complain and return nil. +If there are more than one then remove any that are subsumed. If there +is still more than one complain else return the only signature. +\calls{getSignature}{get} +\calls{getSignature}{length} +\calls{getSignature}{remdup} +\calls{getSignature}{knownInfo} +\calls{getSignature}{getmode} +\calls{getSignature}{qcar} +\calls{getSignature}{qcdr} +\calls{getSignature}{say} +\calls{getSignature}{printSignature} +\calls{getSignature}{SourceLevelSubsume} +\calls{getSignature}{stackSemanticError} +\refsdollar{getSignature}{e} +\begin{chunk}{defun getSignature} +(defun |getSignature| (op argModeList |$e|) + (declare (special |$e|)) + (let (mmList pred u tmp1 dc sig sigl) + (setq mmList (|get| op '|modemap| |$e|)) + (cond + ((eql 1 + (|#| (setq sigl (remdup + (loop for item in mmList + do + (setq dc (caar item)) + (setq sig (cdar item)) + (setq pred (caadr item)) + when (and (eq dc '$) (equal (cdr sig) argModeList) (|knownInfo| pred)) + collect sig))))) + (car sigl)) + ((null sigl) + (cond + ((progn + (setq tmp1 (setq u (|getmode| op |$e|))) + (and (consp tmp1) (eq (qfirst tmp1) '|Mapping|))) + (qrest tmp1)) + (t + (say "************* USER ERROR **********") + (say "available signatures for " op ": ") + (cond + ((null mmList) (say " NONE")) + (t + (loop for item in mmList + do (|printSignature| '| | op (cdar item))) + (|printSignature| '|NEED | op (cons '? argModeList)))) + nil))) + (t + ; Before we complain about duplicate signatures, we should + ; check that we do not have for example, a partial - as + ; well as a total one. SourceLevelSubsume should do this + (loop for u in sigl do + (loop for v in sigl + when (null (equal u v)) + do (when (|SourceLevelSubsume| u v) (setq sigl (|delete| v sigl))))) + (cond + ((eql 1 (|#| sigl)) (car sigl)) + (t + (|stackSemanticError| + (list '|duplicate signatures for | op '|: | argModeList) nil))))))))) \end{chunk} -\defun{postRepeat}{postRepeat} -\calls{postRepeat}{postIteratorList} -\calls{postRepeat}{postTran} -\begin{chunk}{defun postRepeat} -(defun |postRepeat| (arg) - (let (tmp1 x m) - (setq tmp1 (reverse (cdr arg))) - (setq x (car tmp1)) - (setq m (nreverse (cdr tmp1))) - (cons 'repeat (append (|postIteratorList| m) (list (|postTran| x)))))) +\defun{checkAndDeclare}{checkAndDeclare} +\calls{checkAndDeclare}{getArgumentMode} +\calls{checkAndDeclare}{modeEqual} +\calls{checkAndDeclare}{put} +\calls{checkAndDeclare}{sayBrightly} +\calls{checkAndDeclare}{bright} +\begin{chunk}{defun checkAndDeclare} +(defun |checkAndDeclare| (argl form sig env) + (let (m1 stack) + (loop for a in argl for m in (rest sig) + do + (if (setq m1 (|getArgumentMode| a env)) + (if (null (|modeEqual| m1 m)) + (setq stack + (cons '| | (append (|bright| a) + (cons "must have type " + (cons m + (cons " not " + (cons m1 + (cons '|%l| stack))))))))) + (setq env (|put| a '|mode| m env)))) + (when stack + (|sayBrightly| + (cons " Parameters of " + (append (|bright| (car form)) + (cons " are of wrong type:" + (cons '|%l| stack)))))) + env)) \end{chunk} -\defplist{Scripts}{postScripts} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|Scripts| '|postTran|) '|postScripts|)) +\defun{hasSigInTargetCategory}{hasSigInTargetCategory} +\calls{hasSigInTargetCategory}{getArgumentMode} +\calls{hasSigInTargetCategory}{remdup} +\calls{hasSigInTargetCategory}{length} +\calls{hasSigInTargetCategory}{getSignatureFromMode} +\calls{hasSigInTargetCategory}{stackWarning} +\calls{hasSigInTargetCategory}{compareMode2Arg} +\calls{hasSigInTargetCategory}{bright} +\refsdollar{hasSigInTargetCategory}{domainShell} +\begin{chunk}{defun hasSigInTargetCategory} +(defun |hasSigInTargetCategory| (argl form opsig env) + (labels ( + (fn (opName sig opsig mList form) + (declare (special |$op|)) + (and + (and + (and (equal opName |$op|) (equal (|#| sig) (|#| form))) + (or (null opsig) (equal opsig (car sig)))) + (let ((result t)) + (loop for x in mList for y in (rest sig) + do (setq result (and result (or (null x) (|modeEqual| x y))))) + result)))) + (let (mList potentialSigList c sig) + (declare (special |$domainShell|)) + (setq mList + (loop for x in argl + collect (|getArgumentMode| x env))) + (setq potentialSigList + (remdup + (loop for item in (elt |$domainShell| 1) + when (fn (caar item) (cadar item) opsig mList form) + collect (cadar item)))) + (setq c (|#| potentialSigList)) + (cond + ((eql 1 c) (car potentialSigList)) + ((eql 0 c) + (when (equal (|#| (setq sig (|getSignatureFromMode| form env))) (|#| form)) + sig)) + ((> c 1) + (setq sig (car potentialSigList)) + (|stackWarning| + (cons '|signature of lhs not unique:| + (append (|bright| sig) (list '|chosen|)))) + sig) + (t nil))))) \end{chunk} -\defun{postScripts}{postScripts} -\calls{postScripts}{getScriptName} -\calls{postScripts}{postTranScripts} -\begin{chunk}{defun postScripts} -(defun |postScripts| (arg) - (cons (|getScriptName| (second arg) (third arg) 0) - (|postTranScripts| (third arg)))) +\defun{getArgumentMode}{getArgumentMode} +\calls{getArgumentMode}{get} +\begin{chunk}{defun getArgumentMode} +(defun |getArgumentMode| (x e) + (if (stringp x) x (|get| x '|mode| e))) \end{chunk} -\defplist{;}{postSemiColon} +\defplist{elt}{compElt plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|;| '|postTran|) '|postSemiColon|)) + (setf (get '|elt| 'special) '|compElt|)) \end{chunk} -\defun{postSemiColon}{postSemiColon} -\calls{postSemiColon}{postBlock} -\calls{postSemiColon}{postFlattenLeft} -\begin{chunk}{defun postSemiColon} -(defun |postSemiColon| (u) - (|postBlock| (cons '|Block| (|postFlattenLeft| u '|;|)))) +\defun{compElt}{compElt} +\calls{compElt}{compForm} +\calls{compElt}{isDomainForm} +\calls{compElt}{addDomain} +\calls{compElt}{getModemapListFromDomain} +\calls{compElt}{length} +\calls{compElt}{stackMessage} +\calls{compElt}{stackWarning} +\calls{compElt}{convert} +\calls{compElt}{opOf} +\calls{compElt}{getDeltaEntry} +\calls{compElt}{nequal} +\usesdollar{compElt}{One} +\usesdollar{compElt}{Zero} +\begin{chunk}{defun compElt} +(defun |compElt| (form mode env) + (let (aDomain anOp mmList n modemap sig pred val) + (declare (special |$One| |$Zero|)) + (setq anOp (third form)) + (setq aDomain (second form)) + (cond + ((null (and (consp form) (eq (qfirst form) '|elt|) + (consp (qrest form)) (consp (qcddr form)) + (eq (qcdddr form) nil))) + (|compForm| form mode env)) + ((eq aDomain '|Lisp|) + (list (cond + ((equal anOp |$Zero|) 0) + ((equal anOp |$One|) 1) + (t anOp)) + mode env)) + ((|isDomainForm| aDomain env) + (setq env (|addDomain| aDomain env)) + (setq mmList (|getModemapListFromDomain| anOp 0 aDomain env)) + (setq modemap + (progn + (setq n (|#| mmList)) + (cond + ((eql 1 n) (elt mmList 0)) + ((eql 0 n) + (|stackMessage| + (list "Operation " '|%b| anOp '|%d| "missing from domain: " + aDomain nil)) + nil) + (t + (|stackWarning| + (list "more than 1 modemap for: " anOp " with dc=" + aDomain " ===>" mmList )) + (elt mmList 0))))) + (when modemap + (setq sig (first modemap)) + (setq pred (caadr modemap)) + (setq val (cadadr modemap)) + (unless (and (nequal (|#| sig) 2) + (null (and (consp val) (eq (qfirst val) '|elt|)))) + (setq val (|genDeltaEntry| (cons (|opOf| anOp) modemap))) + (|convert| (list (list '|call| val) (second sig) env) mode)))) + (t + (|compForm| form mode env))))) \end{chunk} +\defplist{exit}{compExit plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|exit| 'special) '|compExit|)) + +\end{chunk} -\defun{postFlattenLeft}{postFlattenLeft} -\calls{postFlattenLeft}{postFlattenLeft} -\begin{chunk}{defun postFlattenLeft} -(defun |postFlattenLeft| (x op) - (let (a b) +\defun{compExit}{compExit} +\calls{compExit}{comp} +\calls{compExit}{modifyModeStack} +\calls{compExit}{stackMessageIfNone} +\usesdollar{compExit}{exitModeStack} +\begin{chunk}{defun compExit} +(defun |compExit| (form mode env) + (let (exitForm index m1 u) + (declare (special |$exitModeStack|)) + (setq index (1- (second form))) + (setq exitForm (third form)) (cond - ((and (pairp x) (equal (qcar x) op) (pairp (qcdr x)) - (pairp (qcdr (qcdr x))) (eq (qcdr (qcdr (qcdr x))) nil)) - (setq a (qcar (qcdr x))) - (setq b (qcar (qcdr (qcdr x)))) - (append (|postFlattenLeft| a op) (list b))) - (t (list x))))) + ((null |$exitModeStack|) + (|comp| exitForm mode env)) + (t + (setq m1 (elt |$exitModeStack| index)) + (setq u (|comp| exitForm m1 env)) + (cond + (u + (|modifyModeStack| (second u) index) + (list (list '|TAGGEDexit| index u) mode env)) + (t + (|stackMessageIfNone| + (list '|cannot compile exit expression| exitForm '|in mode| m1)))))))) \end{chunk} -\defplist{Signature}{postSignature} +\defplist{has}{compHas plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|Signature| '|postTran|) '|postSignature|)) + (setf (get '|has| 'special) '|compHas|)) \end{chunk} -\defun{postSignature}{postSignature} -\calls{postSignature}{pairp} -\calls{postSignature}{postType} -\calls{postSignature}{removeSuperfluousMapping} -\calls{postSignature}{killColons} -\begin{chunk}{defun postSignature} -(defun |postSignature| (arg) - (let (sig sig1 op) - (setq op (second arg)) - (setq sig (third arg)) - (when (and (pairp sig) (eq (qcar sig) '->)) - (setq sig1 (|postType| sig)) - (setq op (|postAtom| (if (stringp op) (setq op (intern op)) op))) - (cons 'signature - (cons op (|removeSuperfluousMapping| (|killColons| sig1))))))) +\defun{compHas}{compHas} +\calls{compHas}{chaseInferences} +\calls{compHas}{compHasFormat} +\calls{compHas}{coerce} +\refsdollar{compHas}{e} +\defsdollar{compHas}{e} +\refsdollar{compHas}{Boolean} +\begin{chunk}{defun compHas} +(defun |compHas| (pred mode |$e|) + (declare (special |$e| |$Boolean|)) + (let (a b predCode) + (setq a (second pred)) + (setq b (third pred)) + (setq |$e| (|chaseInferences| pred |$e|)) + (setq predCode (|compHasFormat| pred)) + (|coerce| (list predCode |$Boolean| |$e|) mode))) \end{chunk} -\defun{killColons}{killColons} -\calls{killColons}{killColons} -\begin{chunk}{defun killColons} -(defun |killColons| (x) - (cond - ((atom x) x) - ((and (pairp x) (eq (qcar x) '|Record|)) x) - ((and (pairp x) (eq (qcar x) '|Union|)) x) - ((and (pairp x) (eq (qcar x) '|:|) (pairp (qcdr x)) - (pairp (qcdr (qcdr x))) (eq (qcdr (qcdr (qcdr x))) nil)) - (|killColons| (third x))) - (t (cons (|killColons| (car x)) (|killColons| (cdr x)))))) +\defun{compHasFormat}{compHasFormat} +\calls{compHasFormat}{take} +\calls{compHasFormat}{length} +\calls{compHasFormat}{sublislis} +\calls{compHasFormat}{comp} +\calls{compHasFormat}{qcar} +\calls{compHasFormat}{qcdr} +\calls{compHasFormat}{mkList} +\calls{compHasFormat}{mkDomainConstructor} +\calls{compHasFormat}{isDomainForm} +\refsdollar{compHasFormat}{FormalMapVariableList} +\refsdollar{compHasFormat}{EmptyMode} +\refsdollar{compHasFormat}{e} +\refsdollar{compHasFormat}{form} +\refsdollar{compHasFormat}{EmptyEnvironment} +\begin{chunk}{defun compHasFormat} +(defun |compHasFormat| (pred) + (let (olda b argl formals tmp1 a) + (declare (special |$EmptyEnvironment| |$e| |$EmptyMode| + |$FormalMapVariableList| |$form|)) + (when (eq (car pred) '|has|) (car pred)) + (setq olda (second pred)) + (setq b (third pred)) + (setq argl (rest |$form|)) + (setq formals (take (|#| argl) |$FormalMapVariableList|)) + (setq a (sublislis argl formals olda)) + (setq tmp1 (|comp| a |$EmptyMode| |$e|)) + (when tmp1 + (setq a (car tmp1)) + (setq a (sublislis formals argl a)) + (cond + ((and (consp b) (eq (qfirst b) 'attribute) (consp (qrest b)) + (eq (qcddr b) nil)) + (list '|HasAttribute| a (list 'quote (qsecond b)))) + ((and (consp b) (eq (qfirst b) 'signature) (consp (qrest b)) + (consp (qcddr b)) (eq (qcdddr b) NIL)) + (list '|HasSignature| a + (|mkList| + (list (MKQ (qsecond b)) + (|mkList| + (loop for type in (qthird b) + collect (|mkDomainConstructor| type))))))) + ((|isDomainForm| b |$EmptyEnvironment|) + (list 'equal a b)) + (t + (list '|HasCategory| a (|mkDomainConstructor| b))))))) + +\end{chunk} + +\defun{mkList}{mkList} +\begin{chunk}{defun mkList} +(defun |mkList| (u) + (when u (cons 'list u))) \end{chunk} -\defplist{/}{postSlash} +\defplist{if}{compIf plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '/ '|postTran|) '|postSlash|)) + (setf (get 'if 'special) '|compIf|)) \end{chunk} -\defun{postSlash}{postSlash} -\calls{postSlash}{postTran} -\begin{chunk}{defun postSlash} -(defun |postSlash| (arg) - (if (stringp (second arg)) - (|postTran| (list '|Reduce| (intern (second arg)) (third arg) )) - (list '/ (|postTran| (second arg)) (|postTran| (third arg))))) +\defun{compIf}{compIf} +\calls{compIf}{canReturn} +\calls{compIf}{intersectionEnvironment} +\calls{compIf}{compBoolean} +\calls{compIf}{compFromIf} +\calls{compIf}{resolve} +\calls{compIf}{coerce} +\calls{compIf}{quotify} +\usesdollar{compIf}{Boolean} +\begin{chunk}{defun compIf} +(defun |compIf| (form mode env) + (labels ( + (environ (bEnv cEnv b c env) + (cond + ((|canReturn| b 0 0 t) + (if (|canReturn| c 0 0 t) (|intersectionEnvironment| bEnv cEnv) bEnv)) + ((|canReturn| c 0 0 t) cEnv) + (t env)))) + (let (a b c tmp1 xa ma Ea Einv Tb xb mb Eb Tc xc mc Ec xbp x returnEnv) + (declare (special |$Boolean|)) + (setq a (second form)) + (setq b (third form)) + (setq c (fourth form)) + (when (setq tmp1 (|compBoolean| a |$Boolean| env)) + (setq xa (first tmp1)) + (setq ma (second tmp1)) + (setq Ea (third tmp1)) + (setq Einv (fourth tmp1)) + (when (setq Tb (|compFromIf| b mode Ea)) + (setq xb (first Tb)) + (setq mb (second Tb)) + (setq Eb (third Tb)) + (when (setq Tc (|compFromIf| c (|resolve| mb mode) Einv)) + (setq xc (first Tc)) + (setq mc (second Tc)) + (setq Ec (third Tc)) + (when (setq xbp (|coerce| Tb mc)) + (setq x (list 'if xa (first xbp) xc)) + (setq returnEnv (environ (third xbp) Ec (first xbp) xc env)) + (list x mc returnEnv)))))))) \end{chunk} -\defplist{@Tuple}{postTuple} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|@Tuple| '|postTran|) '|postTuple|)) +\defun{compFromIf}{compFromIf} +\calls{compFromIf}{comp} +\begin{chunk}{defun compFromIf} +(defun |compFromIf| (a m env) + (if (eq a '|noBranch|) + (list '|noBranch| m env) + (|comp| a m env))) \end{chunk} -\defun{postTuple}{postTuple} -\calls{postTuple}{postTranList} -\begin{chunk}{defun postTuple} -(defun |postTuple| (arg) - (cond - ((and (pairp arg) (eq (qcdr arg) nil) (eq (qcar arg) '|@Tuple|)) - arg) - ((and (pairp arg) (eq (qcar arg) '|@Tuple|) (pairp (qcdr arg))) - (cons '|@Tuple| (|postTranList| (cdr arg)))))) +\defun{canReturn}{canReturn} +\calls{canReturn}{say} +\calls{canReturn}{qcar} +\calls{canReturn}{qcdr} +\calls{canReturn}{canReturn} +\calls{canReturn}{systemErrorHere} +\begin{chunk}{defun canReturn} +(defun |canReturn| (expr level exitCount ValueFlag) + (labels ( + (findThrow (gs expr level exitCount ValueFlag) + (cond + ((atom expr) nil) + ((and (consp expr) (eq (qfirst expr) 'throw) (consp (qrest expr)) + (equal (qsecond expr) gs) (consp (qcddr expr)) + (eq (qcdddr expr) nil)) + t) + ((and (consp expr) (eq (qfirst expr) 'seq)) + (let (result) + (loop for u in (qrest expr) + do (setq result + (or result + (findThrow gs u (1+ level) exitCount ValueFlag)))) + result)) + (t + (let (result) + (loop for u in (rest expr) + do (setq result + (or result + (findThrow gs u level exitCount ValueFlag)))) + result))))) + (let (op gs) + (cond + ((atom expr) (and ValueFlag (equal level exitCount))) + ((eq (setq op (car expr)) 'quote) (and ValueFlag (equal level exitCount))) + ((eq op '|TAGGEDexit|) + (cond + ((and (consp expr) (consp (qrest expr)) (consp (qcddr expr)) + (eq (qcdddr expr) nil)) + (|canReturn| (car (third expr)) level (second expr) + (equal (second expr) level))))) + ((and (equal level exitCount) (null ValueFlag)) + nil) + ((eq op 'seq) + (let (result) + (loop for u in (rest expr) + do (setq result (or result (|canReturn| u (1+ level) exitCount nil)))) + result)) + ((eq op '|TAGGEDreturn|) nil) + ((eq op 'catch) + (cond + ((findThrow (second expr) (third expr) level + exitCount ValueFlag) + t) + (t + (|canReturn| (third expr) level exitCount ValueFlag)))) + ((eq op 'cond) + (cond + ((equal level exitCount) + (let (result) + (loop for u in (rest expr) + do (setq result (or result + (|canReturn| (|last| u) level exitCount ValueFlag)))) + result)) + (t + (let (outer) + (loop for v in (rest expr) + do (setq outer (or outer + (let (inner) + (loop for u in v + do (setq inner + (or inner + (findThrow gs u level exitCount ValueFlag)))) + inner)))) + outer)))) + ((eq op 'if) + (and (consp expr) (consp (qrest expr)) (consp (qcddr expr)) + (consp (qcdddr expr)) + (eq (qcddddr expr) nil)) + (cond + ((null (|canReturn| (second expr) 0 0 t)) + (say "IF statement can not cause consequents to be executed") + (|pp| expr))) + (or (|canReturn| (second expr) level exitCount nil) + (|canReturn| (third expr) level exitCount ValueFlag) + (|canReturn| (fourth expr) level exitCount ValueFlag))) + ((atom op) + (let ((result t)) + (loop for u in expr + do (setq result + (and result (|canReturn| u level exitCount ValueFlag)))) + result)) + ((and (consp op) (eq (qfirst op) 'xlam) (consp (qrest op)) + (consp (qcddr op)) (eq (qcdddr op) nil)) + (let ((result t)) + (loop for u in expr + do (setq result + (and result (|canReturn| u level exitCount ValueFlag)))) + result)) + (t (|systemErrorHere| "canReturn")))))) \end{chunk} -\defplist{TupleCollect}{postTupleCollect} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|TupleCollect| '|postTran|) '|postTupleCollect|)) +\defun{compBoolean}{compBoolean} +\calls{compBoolean}{comp} +\calls{compBoolean}{getSuccessEnvironment} +\calls{compBoolean}{getInverseEnvironment} +\begin{chunk}{defun compBoolean} +(defun |compBoolean| (p mode env) + (let (tmp1 pp) + (when (setq tmp1 (OR (|comp| p mode env))) + (setq pp (car tmp1)) + (setq mode (cadr tmp1)) + (setq env (caddr tmp1)) + (list pp mode (|getSuccessEnvironment| p env) + (|getInverseEnvironment| p env))))) \end{chunk} -\defun{postTupleCollect}{postTupleCollect} -\calls{postTupleCollect}{postCollect} -\begin{chunk}{defun postTupleCollect} -(defun |postTupleCollect| (arg) - (let (constructOp tmp1 x m) - (setq constructOp (car arg)) - (setq tmp1 (reverse (cdr arg))) - (setq x (car tmp1)) - (setq m (nreverse (cdr tmp1))) - (|postCollect| (cons constructOp (append m (list (list '|construct| x))))))) +\defun{getSuccessEnvironment}{getSuccessEnvironment} +\calls{getSuccessEnvironment}{qcar} +\calls{getSuccessEnvironment}{qcdr} +\calls{getSuccessEnvironment}{isDomainForm} +\calls{getSuccessEnvironment}{put} +\calls{getSuccessEnvironment}{identp} +\calls{getSuccessEnvironment}{getProplist} +\calls{getSuccessEnvironment}{comp} +\calls{getSuccessEnvironment}{consProplistOf} +\calls{getSuccessEnvironment}{removeEnv} +\calls{getSuccessEnvironment}{addBinding} +\calls{getSuccessEnvironment}{get} +\refsdollar{getSuccessEnvironment}{EmptyEnvironment} +\refsdollar{getSuccessEnvironment}{EmptyMode} +\begin{chunk}{defun getSuccessEnvironment} +(defun |getSuccessEnvironment| (a env) + (let (id currentProplist tt newProplist x m) + (declare (special |$EmptyMode| |$EmptyEnvironment|)) + (cond + ((and (consp a) (eq (qfirst a) '|has|) (CONSP (qrest a)) + (consp (qcddr a)) (eq (qcdddr a) nil)) + (if + (and (identp (second a)) (|isDomainForm| (third a) |$EmptyEnvironment|)) + (|put| (second a) '|specialCase| (third a) env) + env)) + ((and (consp a) (eq (qfirst a) '|is|) (consp (qrest a)) + (consp (qcddr a)) (eq (qcdddr a) nil)) + (setq id (qsecond a)) + (setq m (qthird a)) + (cond + ((and (identp id) (|isDomainForm| m |$EmptyEnvironment|)) + (setq env (|put| id '|specialCase| m env)) + (setq currentProplist (|getProplist| id env)) + (setq tt (|comp| m |$EmptyMode| env)) + (when tt + (setq env (caddr tt)) + (setq newProplist + (|consProplistOf| id currentProplist '|value| + (cons m (cdr (|removeEnv| tt))))) + (|addBinding| id newProplist env))) + (t env))) + ((and (consp a) (eq (qfirst a) '|case|) (consp (qrest a)) + (consp (qcddr a)) (eq (qcdddr a) nil) + (identp (qsecond a))) + (setq x (qsecond a)) + (setq m (qthird a)) + (|put| x '|condition| (cons a (|get| x '|condition| env)) env)) + (t env)))) \end{chunk} -\defplist{where}{postWhere} -\begin{chunk}{postvars} -(eval-when (eval load) - (setf (get '|where| '|postTran|) '|postWhere|)) +\defun{getInverseEnvironment}{getInverseEnvironment} +\calls{getInverseEnvironment}{qcar} +\calls{getInverseEnvironment}{qcdr} +\calls{getInverseEnvironment}{identp} +\calls{getInverseEnvironment}{isDomainForm} +\calls{getInverseEnvironment}{put} +\calls{getInverseEnvironment}{get} +\calls{getInverseEnvironment}{member} +\calls{getInverseEnvironment}{mkpf} +\calls{getInverseEnvironment}{delete} +\calls{getInverseEnvironment}{getUnionMode} +\refsdollar{getInverseEnvironment}{EmptyEnvironment} +\begin{chunk}{defun getInverseEnvironment} +(defun |getInverseEnvironment| (a env) + (let (op argl x m oldpred tmp1 zz newpred) + (declare (special |$EmptyEnvironment|)) + (cond + ((atom a) env) + (t + (setq op (car a)) + (setq argl (cdr a)) + (cond + ((eq op '|has|) + (setq x (car argl)) + (setq m (cadr argl)) + (cond + ((and (identp x) (|isDomainForm| m |$EmptyEnvironment|)) + (|put| x '|specialCase| m env)) + (t env))) + ((and (consp a) (eq (qfirst a) '|case|) (consp (qrest a)) + (consp (qcddr a)) (eq (qcdddr a) nil) + (identp (qsecond a))) + (setq x (qsecond a)) + (setq m (qthird a)) + (setq tmp1 (|get| x '|condition| env)) + (cond + ((and tmp1 (consp tmp1) (eq (qrest tmp1) nil) (consp (qfirst tmp1)) + (eq (qcaar tmp1) 'or) (|member| a (qcdar tmp1))) + (setq oldpred (qcdar tmp1)) + (|put| x '|condition| (list (mkpf (|delete| a oldpred) 'or)) env)) + (t + (setq tmp1 (|getUnionMode| x env)) + (setq zz (|delete| m (qrest tmp1))) + (loop for u in zz + when (and (consp u) (eq (qfirst u) '|:|) + (consp (qrest u)) (equal (qsecond u) m)) + do (setq zz (|delete| u zz))) + (setq newpred + (mkpf (loop for mp in zz collect (list '|case| x mp)) 'or)) + (|put| x '|condition| + (cons newpred (|get| x '|condition| env)) env)))) + (t env)))))) \end{chunk} -\defun{postWhere}{postWhere} -\calls{postWhere}{postTran} -\calls{postWhere}{postTranList} -\begin{chunk}{defun postWhere} -(defun |postWhere| (arg) - (let (b x) - (setq b (third arg)) - (setq x (if (and (pairp b) (eq (qcar b) '|Block|)) (qcdr b) (list b))) - (cons '|where| (cons (|postTran| (second arg)) (|postTranList| x))))) +\defun{getUnionMode}{getUnionMode} +\calls{getUnionMode}{isUnionMode} +\calls{getUnionMode}{getmode} +\begin{chunk}{defun getUnionMode} +(defun |getUnionMode| (x env) + (let (m) + (setq m (when (atom x) (|getmode| x env))) + (when m (|isUnionMode| m env)))) + +\end{chunk} + +\defun{isUnionMode}{isUnionMode} +\calls{isUnionMode}{getmode} +\calls{isUnionMode}{get} +\begin{chunk}{defun isUnionMode} +(defun |isUnionMode| (m env) + (let (mp v tmp1) + (cond + ((and (consp m) (eq (qfirst m) '|Union|)) m) + ((progn + (setq tmp1 (setq mp (|getmode| m env))) + (and (consp tmp1) (eq (qfirst tmp1) '|Mapping|) + (consp (qrest tmp1)) (eq (qcddr tmp1) nil) + (consp (qsecond tmp1)) + (eq (qcaadr tmp1) '|UnionCategory|))) + (second mp)) + ((setq v (|get| (if (eq m '$) '|Rep| m) '|value| env)) + (when (and (consp (car v)) (eq (qfirst (car v)) '|Union|)) (car v)))))) \end{chunk} -\defplist{with}{postWith} +\defplist{import}{compImport plist} \begin{chunk}{postvars} (eval-when (eval load) - (setf (get '|with| '|postTran|) '|postWith|)) + (setf (get '|import| 'special) '|compImport|)) \end{chunk} -\defun{postWith}{postWith} -\calls{postWith}{postTran} -\usesdollar{postWith}{insidePostCategoryIfTrue} -\begin{chunk}{defun postWith} -(defun |postWith| (arg) - (let (|$insidePostCategoryIfTrue| a) - (declare (special |$insidePostCategoryIfTrue|)) - (setq |$insidePostCategoryIfTrue| t) - (setq a (|postTran| (second arg))) - (cond - ((and (pairp a) (member (qcar a) '(signature attribute if))) - (list 'category a)) - ((and (pairp a) (eq (qcar a) 'progn)) - (cons 'category (qcdr a))) - (t a)))) +\defun{compImport}{compImport} +\calls{compImport}{addDomain} +\usesdollar{compImport}{NoValueMode} +\begin{chunk}{defun compImport} +(defun |compImport| (form mode env) + (declare (ignore mode)) + (declare (special |$NoValueMode|)) + (dolist (dom (cdr form)) (setq env (|addDomain| dom env))) + (list '|/throwAway| |$NoValueMode| env)) \end{chunk} - -\section{Support routines} -\defun{setDefOp}{setDefOp} -\usesdollar{setDefOp}{defOp} -\usesdollar{setDefOp}{topOp} -\begin{chunk}{defun setDefOp} -(defun |setDefOp| (f) - (let (tmp1) - (declare (special |$defOp| |$topOp|)) - (when (and (pairp f) (eq (qcar f) '|:|) - (pairp (setq tmp1 (qcdr f)))) - (setq f (qcar tmp1))) - (unless (atom f) (setq f (car f))) - (if |$topOp| - (setq |$defOp| f) - (setq |$topOp| f)))) +\defplist{is}{compIs plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|is| 'special) '|compIs|)) \end{chunk} -\defun{aplTran}{aplTran} -\calls{aplTran}{aplTran1} -\calls{aplTran}{containsBang} -\usesdollar{aplTran}{genno} -\usesdollar{aplTran}{boot} -\begin{chunk}{defun aplTran} -(defun |aplTran| (x) - (let ($genno u) - (declare (special $genno $boot)) - (cond - ($boot x) - (t - (setq $genno 0) - (setq u (|aplTran1| x)) - (cond - ((|containsBang| u) (|throwKeyedMsg| 's2ip0002 nil)) - (t u)))))) +\defun{compIs}{compIs} +\calls{compIs}{comp} +\calls{compIs}{coerce} +\usesdollar{compIs}{Boolean} +\usesdollar{compIs}{EmptyMode} +\begin{chunk}{defun compIs} +(defun |compIs| (form mode env) + (let (a b aval am tmp1 bval bm td) + (declare (special |$Boolean| |$EmptyMode|)) + (setq a (second form)) + (setq b (third form)) + (when (setq tmp1 (|comp| a |$EmptyMode| env)) + (setq aval (first tmp1)) + (setq am (second tmp1)) + (setq env (third tmp1)) + (when (setq tmp1 (|comp| b |$EmptyMode| env)) + (setq bval (first tmp1)) + (setq bm (second tmp1)) + (setq env (third tmp1)) + (setq td (list (list '|domainEqual| aval bval) |$Boolean| env )) + (|coerce| td mode))))) \end{chunk} -\defun{aplTran1}{aplTran1} -\calls{aplTran1}{aplTranList} -\calls{aplTran1}{aplTran1} -\calls{aplTran1}{hasAplExtension} -\calls{aplTran1}{nreverse0} -\calls{aplTran1}{} -\usesdollar{aplTran1}{boot} -\begin{chunk}{defun aplTran1} -(defun |aplTran1| (x) - (let (op argl1 argl f y opprime yprime tmp1 arglAssoc futureArgl g) - (declare (special $boot)) - (if (atom x) - x - (progn - (setq op (car x)) - (setq argl1 (cdr x)) - (setq argl (|aplTranList| argl1)) - (cond - ((eq op '!) - (cond - ((and (pairp argl) - (progn - (setq f (qcar argl)) - (setq tmp1 (qcdr argl)) - (and (pairp tmp1) - (eq (qcdr tmp1) nil) - (progn - (setq y (qcar tmp1)) - t)))) - (cond - ((and (pairp y) - (progn - (setq opprime (qcar y)) - (setq yprime (qcdr y)) - t) - (eq opprime '!)) - (|aplTran1| (cons op (cons op (cons f yprime))))) - ($boot - (cons 'collect - (cons - (list 'in (setq g (genvar)) (|aplTran1| y)) - (list (list f g ) )))) - (t - (list '|map| f (|aplTran1| y) )))) - (t x))) - ((progn - (setq tmp1 (|hasAplExtension| argl)) - (and (pairp tmp1) - (progn - (setq arglAssoc (qcar tmp1)) - (setq futureArgl (qcdr tmp1)) - t))) - (cons '|reshape| - (cons - (cons 'collect - (append - (do ((tmp3 arglAssoc (cdr tmp3)) (tmp4 nil)) - ((or (atom tmp3) - (progn (setq tmp4 (car tmp3)) nil) - (progn - (setq g (car tmp4)) - (setq a (cdr tmp4)) - nil)) - (nreverse0 tmp2)) - (push (list 'in g (list '|ravel| a))) tmp2)) - (list (|aplTran1| (cons op futureArgl))))) - (list (cdar arglAssoc)))) - (t (cons op argl))))))) +\defplist{Join}{compJoin plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Join| 'special) '|compJoin|)) \end{chunk} -\defun{aplTranList}{aplTranList} -\calls{aplTranList}{aplTran1} -\calls{aplTranList}{aplTranList} -\begin{chunk}{defun aplTranList} -(defun |aplTranList| (x) - (if (atom x) - x - (cons (|aplTran1| (car x)) (|aplTranList| (cdr x))))) +\defun{compJoin}{compJoin} +\calls{compJoin}{nreverse0} +\calls{compJoin}{compForMode} +\calls{compJoin}{stackSemanticError} +\calls{compJoin}{nreverse0} +\calls{compJoin}{isCategoryForm} +\calls{compJoin}{union} +\calls{compJoin}{compJoin,getParms} +\calls{compJoin}{qcar} +\calls{compJoin}{qcdr} +\calls{compJoin}{wrapDomainSub} +\calls{compJoin}{convert} +\usesdollar{compJoin}{Category} +\begin{chunk}{defun compJoin} +(defun |compJoin| (form mode env) + (labels ( + (getParms (y env) + (cond + ((atom y) + (when (|isDomainForm| y env) (list y))) + ((and (consp y) (eq (qfirst y) 'length) + (consp (qrest y)) (eq (qcddr y) nil)) + (list y (second y))) + (t (list y)))) ) + (let (argl catList pl tmp3 tmp4 tmp5 body parameters catListp td) + (declare (special |$Category|)) + (setq argl (cdr form)) + (setq catList + (dolist (x argl (nreverse0 tmp3)) + (push (car (or (|compForMode| x |$Category| env) (return '|failed|))) + tmp3))) + (cond + ((eq catList '|failed|) + (|stackSemanticError| (list '|cannot form Join of: | argl) nil)) + (t + (setq catListp + (dolist (x catList (nreverse0 tmp4)) + (setq tmp4 + (cons + (cond + ((|isCategoryForm| x env) + (setq parameters + (|union| + (dolist (y (cdr x) tmp5) + (setq tmp5 (append tmp5 (getParms y env)))) + parameters)) + x) + ((and (consp x) (eq (qfirst x) '|DomainSubstitutionMacro|) + (consp (qrest x)) (consp (qcddr x)) + (eq (qcdddr x) nil)) + (setq pl (second x)) + (setq body (third x)) + (setq parameters (|union| pl parameters)) body) + ((and (consp x) (eq (qfirst x) '|mkCategory|)) + x) + ((and (atom x) (equal (|getmode| x env) |$Category|)) + x) + (t + (|stackSemanticError| (list '|invalid argument to Join: | x) nil) + x)) + tmp4)))) + (setq td (list (|wrapDomainSub| parameters (cons '|Join| catListp)) + |$Category| env)) + (|convert| td mode)))))) \end{chunk} -\defun{hasAplExtension}{hasAplExtension} -\calls{hasAplExtension}{nreverse0} -\calls{hasAplExtension}{deepestExpression} -\calls{hasAplExtension}{genvar} -\calls{hasAplExtension}{aplTran1} -\calls{hasAplExtension}{msubst} -\begin{chunk}{defun hasAplExtension} -(defun |hasAplExtension| (argl) - (let (tmp2 tmp3 y z g arglAssoc u) - (when - (dolist (x argl tmp2) - (setq tmp2 (or tmp2 (and (pairp x) (eq (qcar x) '!))))) - (setq u - (dolist (x argl (nreverse0 tmp3)) - (push - (if (and (pairp x) (eq (qcar x) '!) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil)) - (progn - (setq y (qcar (qcdr x))) - (setq z (|deepestExpression| y)) - (setq arglAssoc - (cons (cons (setq g (genvar)) (|aplTran1| z)) arglAssoc)) - (msubst g z y)) - x) - tmp3))) - (cons arglAssoc u)))) +\defun{compForMode}{compForMode} +\calls{compForMode}{comp} +\defsdollar{compForMode}{compForModeIfTrue} +\begin{chunk}{defun compForMode} +(defun |compForMode| (x m e) + (let (|$compForModeIfTrue|) + (declare (special |$compForModeIfTrue|)) + (setq |$compForModeIfTrue| t) + (|comp| x m e))) \end{chunk} -\defun{deepestExpression}{deepestExpression} -\calls{deepestExpression}{deepestExpression} -\begin{chunk}{defun deepestExpression} -(defun |deepestExpression| (x) - (if (and (pairp x) (eq (qcar x) '!) - (pairp (qcdr x)) (eq (qcdr (qcdr x)) nil)) - (|deepestExpression| (qcar (qcdr x))) - x)) +\defplist{$+->$}{compLambda plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|+->| 'special) '|compLambda|)) \end{chunk} -\defun{containsBang}{containsBang} -\calls{containsBang}{containsBang} -\begin{chunk}{defun containsBang} -(defun |containsBang| (u) - (let (tmp2) +\defun{compLambda}{compLambda} +\calls{compLambda}{qcar} +\calls{compLambda}{qcdr} +\calls{compLambda}{argsToSig} +\calls{compLambda}{compAtSign} +\calls{compLambda}{stackAndThrow} +\begin{chunk}{defun compLambda} +(defun |compLambda| (form mode env) + (let (vl body tmp1 tmp2 tmp3 target args arg1 sig1 ress) + (setq vl (second form)) + (setq body (third form)) (cond - ((atom u) (eq u '!)) - ((and (pairp u) (equal (qcar u) 'quote) - (pairp (qcdr u)) (eq (qcdr (qcdr u)) nil)) - nil) - (t - (dolist (x u tmp2) - (setq tmp2 (or tmp2 (|containsBang| x)))))))) - -\end{chunk} - -\defun{getScriptName}{getScriptName} -\seebook{getScriptName}{identp}{5} -\calls{getScriptName}{postError} -\calls{getScriptName}{internl} -\calls{getScriptName}{decodeScripts} -\seebook{getScriptName}{pname}{5} -\begin{chunk}{defun getScriptName} -(defun |getScriptName| (op a numberOfFunctionalArgs) - (when (null (identp op)) - (|postError| (list " " op " cannot have scripts" ))) - (internl '* (princ-to-string numberOfFunctionalArgs) - (|decodeScripts| a) (pname op))) + ((and (consp vl) (eq (qfirst vl) '|:|) + (progn + (setq tmp1 (qrest vl)) + (and (consp tmp1) + (progn + (setq args (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) + (progn + (setq target (qfirst tmp2)) + t)))))) + (when (and (consp args) (eq (qfirst args) '|@Tuple|)) + (setq args (qrest args))) + (cond + ((listp args) + (setq tmp3 (|argsToSig| args)) + (setq arg1 (first tmp3)) + (setq sig1 (second tmp3)) + (cond + (sig1 + (setq ress + (compAtSign + (list '@ + (list '+-> arg1 body) + (cons '|Mapping| (cons target sig1))) mode env)) + ress) + (t (|stackAndThrow| (list '|compLambda| form ))))) + (t (|stackAndThrow| (list '|compLambda| form ))))) + (t (|stackAndThrow| (list '|compLambda| form )))))) \end{chunk} -\defun{decodeScripts}{decodeScripts} -\calls{decodeScripts}{qcar} -\calls{decodeScripts}{qcdr} -\calls{decodeScripts}{strconc} -\calls{decodeScripts}{decodeScripts} -\begin{chunk}{defun decodeScripts} -(defun |decodeScripts| (a) - (labels ( - (fn (a) - (let ((tmp1 0)) - (if (and (pairp a) (eq (qcar a) '|,|)) - (dolist (x (qcdr a) tmp1) (setq tmp1 (+ tmp1 (fn x)))) - 1)))) - (cond - ((and (pairp a) (eq (qcar a) '|PrefixSC|) - (pairp (qcdr a)) (eq (qcdr (qcdr a)) nil)) - (strconc (princ-to-string 0) (|decodeScripts| (qcar (qcdr a))))) - ((and (pairp a) (eq (qcar a) '|;|)) - (apply 'strconc (loop for x in (qcdr a) collect (|decodeScripts| x)))) - ((and (pairp a) (eq (qcar a) '|,|)) - (princ-to-string (fn a))) - (t - (princ-to-string 1))))) +\defplist{leave}{compLeave plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|leave| 'special) '|compLeave|)) \end{chunk} - -\chapter{DEF forms} - -\defdollar{defstack} -\begin{chunk}{initvars} -(defvar $defstack nil) +\defun{compLeave}{compLeave} +\calls{compLeave}{comp} +\calls{compLeave}{modifyModeStack} +\usesdollar{compLeave}{exitModeStack} +\usesdollar{compLeave}{leaveLevelStack} +\begin{chunk}{defun compLeave} +(defun |compLeave| (form mode env) + (let (level x index u) + (declare (special |$exitModeStack| |$leaveLevelStack|)) + (setq level (second form)) + (setq x (third form)) + (setq index + (- (1- (|#| |$exitModeStack|)) (elt |$leaveLevelStack| (1- level)))) + (when (setq u (|comp| x (elt |$exitModeStack| index) env)) + (|modifyModeStack| (second u) index) + (list (list '|TAGGEDexit| index u) mode env )))) \end{chunk} -\defdollar{is-spill} -\begin{chunk}{initvars} -(defvar $is-spill nil) +\defplist{mdef}{compMacro plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'mdef 'special) '|compMacro|)) \end{chunk} -\defdollar{is-spill-list} -\begin{chunk}{initvars} -(defvar $is-spill-list nil) +\defun{compMacro}{compMacro} +\calls{compMacro}{qcar} +\calls{compMacro}{formatUnabbreviated} +\calls{compMacro}{sayBrightly} +\calls{compMacro}{put} +\calls{compMacro}{macroExpand} +\usesdollar{compMacro}{macroIfTrue} +\usesdollar{compMacro}{NoValueMode} +\usesdollar{compMacro}{EmptyMode} +\begin{chunk}{defun compMacro} +(defun |compMacro| (form mode env) + (let (|$macroIfTrue| lhs signature specialCases rhs prhs) + (declare (special |$macroIfTrue| |$NoValueMode| |$EmptyMode|)) + (setq |$macroIfTrue| t) + (setq lhs (second form)) + (setq signature (third form)) + (setq specialCases (fourth form)) + (setq rhs (fifth form)) + (setq prhs + (cond + ((and (consp rhs) (eq (qfirst rhs) 'category)) + (list "-- the constructor category")) + ((and (consp rhs) (eq (qfirst rhs) '|Join|)) + (list "-- the constructor category")) + ((and (consp rhs) (eq (qfirst rhs) 'capsule)) + (list "-- the constructor capsule")) + ((and (consp rhs) (eq (qfirst rhs) '|add|)) + (list "-- the constructor capsule")) + (t (|formatUnabbreviated| rhs)))) + (|sayBrightly| + (cons " processing macro definition" + (cons '|%b| + (append (|formatUnabbreviated| lhs) + (cons " ==> " + (append prhs (list '|%d|))))))) + (when (or (equal mode |$EmptyMode|) (equal mode |$NoValueMode|)) + (list '|/throwAway| |$NoValueMode| + (|put| (CAR lhs) '|macro| (|macroExpand| rhs env) env))))) \end{chunk} -\defdollar{vl} -\begin{chunk}{initvars} -(defvar $vl nil) +\defplist{pretend}{compPretend plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|pretend| 'special) '|compPretend|)) \end{chunk} -\defdollar{is-gensymlist} -\begin{chunk}{initvars} -(defvar $is-gensymlist nil) +\defun{compPretend}{compPretend} +\calls{compPretend}{addDomain} +\calls{compPretend}{comp} +\calls{compPretend}{opOf} +\calls{compPretend}{nequal} +\calls{compPretend}{stackSemanticError} +\calls{compPretend}{stackWarning} +\usesdollar{compPretend}{newCompilerUnionFlag} +\usesdollar{compPretend}{EmptyMode} +\begin{chunk}{defun compPretend} +(defun |compPretend| (form mode env) + (let (x tt warningMessage td tp) + (declare (special |$newCompilerUnionFlag| |$EmptyMode|)) + (setq x (second form)) + (setq tt (third form)) + (setq env (|addDomain| tt env)) + (when (setq td (or (|comp| x tt env) (|comp| x |$EmptyMode| env))) + (when (equal (second td) tt) + (setq warningMessage (list '|pretend| tt '| -- should replace by @|))) + (cond + ((and |$newCompilerUnionFlag| + (eq (|opOf| (second td)) '|Union|) + (nequal (|opOf| mode) '|Union|)) + (|stackSemanticError| + (list '|cannot pretend | x '| of mode | (second td) '| to mode | mode) + nil)) + (t + (setq td (list (first td) tt (third td))) + (when (setq tp (|coerce| td mode)) + (when warningMessage (|stackWarning| warningMessage)) + tp)))))) \end{chunk} -\defvar{initial-gensym} -\begin{chunk}{initvars} -(defvar initial-gensym (list (gensym))) +\defplist{quote}{compQuote plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'quote 'special) '|compQuote|)) \end{chunk} -\defdollar{is-eqlist} -\begin{chunk}{initvars} -(defvar $is-eqlist nil) +\defun{compQuote}{compQuote} +\begin{chunk}{defun compQuote} +(defun |compQuote| (form mode env) + (list form mode env)) \end{chunk} -\defun{hackforis}{hackforis} -\calls{hackforis}{hackforis1} -\begin{chunk}{defun hackforis} -(defun hackforis (l) (mapcar #'hackforis1 L)) +\defplist{reduce}{compReduce plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'reduce 'special) '|compReduce|)) \end{chunk} -\defun{hackforis1}{hackforis1} -\calls{hackforis1}{kar} -\calls{hackforis1}{eqcar} -\begin{chunk}{defun hackforis1} -(defun hackforis1 (x) - (if (and (member (kar x) '(in on)) (eqcar (second x) 'is)) - (cons (first x) (cons (cons 'spadlet (cdadr x)) (cddr x))) - x)) +\defun{compReduce}{compReduce} +\calls{compReduce}{compReduce1} +\usesdollar{compReduce}{formalArgList} +\begin{chunk}{defun compReduce} +(defun |compReduce| (form mode env) + (declare (special |$formalArgList|)) + (|compReduce1| form mode env |$formalArgList|)) \end{chunk} -\defun{unTuple}{unTuple} -\begin{chunk}{defun unTuple} -(defun |unTuple| (x) - (if (and (pairp x) (eq (qcar x) '|@Tuple|)) - (qcdr x) - (list x))) +\defun{compReduce1}{compReduce1} +\calls{compReduce1}{systemError} +\calls{compReduce1}{nreverse0} +\calls{compReduce1}{compIterator} +\calls{compReduce1}{comp} +\calls{compReduce1}{parseTran} +\calls{compReduce1}{getIdentity} +\calls{compReduce1}{msubst} +\usesdollar{compReduce1}{sideEffectsList} +\usesdollar{compReduce1}{until} +\usesdollar{compReduce1}{initList} +\usesdollar{compReduce1}{Boolean} +\usesdollar{compReduce1}{e} +\usesdollar{compReduce1}{endTestList} +\begin{chunk}{defun compReduce1} +(defun |compReduce1| (form mode env |$formalArgList|) + (declare (special |$formalArgList|)) + (let (|$sideEffectsList| |$until| |$initList| |$endTestList| collectForm + collectOp body op itl acc afterFirst bodyVal part1 part2 part3 id + identityCode untilCode finalCode tmp1 tmp2) + (declare (special |$sideEffectsList| |$until| |$initList| |$Boolean| |$e| + |$endTestList|)) + (setq op (second form)) + (setq collectForm (fourth form)) + (setq collectOp (first collectForm)) + (setq tmp1 (reverse (cdr collectForm))) + (setq body (first tmp1)) + (setq itl (nreverse (cdr tmp1))) + (when (stringp op) (setq op (intern op))) + (cond + ((null (member collectOp '(collect collectv collectvec))) + (|systemError| (list '|illegal reduction form:| form))) + (t + (setq |$sideEffectsList| nil) + (setq |$until| nil) + (setq |$initList| nil) + (setq |$endTestList| nil) + (setq |$e| env) + (setq itl + (dolist (x itl (nreverse0 tmp2)) + (setq tmp1 (or (|compIterator| x |$e|) (return '|failed|))) + (setq |$e| (second tmp1)) + (push (elt tmp1 0) tmp2))) + (unless (eq itl '|failed|) + (setq env |$e|) + (setq acc (gensym)) + (setq afterFirst (gensym)) + (setq bodyVal (gensym)) + (when (setq tmp1 (|comp| (list 'let bodyVal body ) mode env)) + (setq part1 (first tmp1)) + (setq mode (second tmp1)) + (setq env (third tmp1)) + (when (setq tmp1 (|comp| (list 'let acc bodyVal) mode env)) + (setq part2 (first tmp1)) + (setq env (third tmp1)) + (when (setq tmp1 + (|comp| (list 'let acc (|parseTran| (list op acc bodyVal))) + mode env)) + (setq part3 (first tmp1)) + (setq env (third tmp1)) + (when (setq identityCode + (if (setq id (|getIdentity| op env)) + (car (|comp| id mode env)) + (list '|IdentityError| (mkq op)))) + (setq finalCode + (cons 'progn + (cons (list 'let afterFirst nil) + (cons + (cons 'repeat + (append itl + (list + (list 'progn part1 + (list 'if afterFirst part3 + (list 'progn part2 (list 'let afterFirst (mkq t)))) nil)))) + (list (list 'if afterFirst acc identityCode )))))) + (when |$until| + (setq tmp1 (|comp| |$until| |$Boolean| env)) + (setq untilCode (first tmp1)) + (setq env (third tmp1)) + (setq finalCode + (msubst (list 'until untilCode) '|$until| finalCode))) + (list finalCode mode env )))))))))) \end{chunk} -\defun{errhuh}{errhuh} -\calls{errhuh}{systemError} -\begin{chunk}{defun errhuh} -(defun errhuh () - (|systemError| "problem with BOOT to LISP translation")) +\defplist{collect}{compRepeatOrCollect plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'collect 'special) '|compRepeatOrCollect|)) \end{chunk} -\chapter{PARSE forms} -\section{The original meta specification} -This package provides routines to support the Metalanguage -translator writing system. Metalanguage is described -in META/LISP, R.D. Jenks, Tech Report, -IBM T.J. Watson Research Center, 1969. -Familiarity with this document is assumed. - -Note that META/LISP and the meta parser/generator were removed from Axiom. -This information is only for documentation purposes. - -\begin{verbatim} -% Scratchpad II Boot Language Grammar, Common Lisp Version -% IBM Thomas J. Watson Research Center -% Summer, 1986 -% -% NOTE: Substantially different from VM/LISP version, due to -% different parser and attempt to render more within META proper. - -.META(New NewExpr Process) -.PACKAGE 'BOOT' -.DECLARE(tmptok TOK ParseMode DEFINITION-NAME LABLASOC) -.PREFIX 'PARSE-' - -NewExpr: =')' .(processSynonyms) Command - / .(SETQ DEFINITION-NAME (CURRENT-SYMBOL)) Statement ; - -Command: ')' SpecialKeyWord SpecialCommand +() ; - -SpecialKeyWord: =(MATCH-CURRENT-TOKEN "IDENTIFIER) - .(SETF (TOKEN-SYMBOL (CURRENT-TOKEN)) (unAbbreviateKeyword (CURRENT-SYMBOL))) ; - -SpecialCommand: 'show' <'?' / Expression>! +(show #1) CommandTail - / ?(MEMBER (CURRENT-SYMBOL) \$noParseCommands) - .(FUNCALL (CURRENT-SYMBOL)) - / ?(MEMBER (CURRENT-SYMBOL) \$tokenCommands) TokenList - TokenCommandTail - / PrimaryOrQM* CommandTail ; - -TokenList: (^?(isTokenDelimiter) +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN))* ; - -TokenCommandTail: - ! ?(atEndOfLine) +(#2 -#1) .(systemCommand #1) ; - -TokenOption: ')' TokenList ; - -CommandTail: ! ?(atEndOfLine) +(#2 -#1) .(systemCommand #1) ; - -PrimaryOrQM: '?' +\? / Primary ; - -Option: ')' PrimaryOrQM* ; - -Statement: Expr{0} <(',' Expr{0})* +(Series #2 -#1)>; - -InfixWith: With +(Join #2 #1) ; - -With: 'with' Category +(with #1) ; - -Category: 'if' Expression 'then' Category <'else' Category>! +(if #3 #2 #1) - / '(' Category <(';' Category)*>! ')' +(CATEGORY #2 -#1) - / .(SETQ $1 (LINE-NUMBER CURRENT-LINE)) Application - ( ':' Expression +(Signature #2 #1) - .(recordSignatureDocumentation ##1 $1) - / +(Attribute #1) - .(recordAttributeDocumentation ##1 $1)); - -Expression: Expr{(PARSE-rightBindingPowerOf (MAKE-SYMBOL-OF PRIOR-TOKEN) ParseMode)} - +#1 ; - -Import: 'import' Expr{1000} <(',' Expr{1000})*>! +(import #2 -#1) ; - -Infix: =TRUE +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) - Expression +(#2 #2 #1) ; - -Prefix: =TRUE +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) - Expression +(#2 #1) ; +\defplist{repeat}{compRepeatOrCollect plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'repeat 'special) '|compRepeatOrCollect|)) -Suffix: +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) +(#1 #1) ; +\end{chunk} -TokTail: ?(AND (NULL \$BOOT) (EQ (CURRENT-SYMBOL) "\$) - (OR (ALPHA-CHAR-P (CURRENT-CHAR)) - (CHAR-EQ (CURRENT-CHAR) '$') - (CHAR-EQ (CURRENT-CHAR) '\%') - (CHAR-EQ (CURRENT-CHAR) '('))) - .(SETQ $1 (COPY-TOKEN PRIOR-TOKEN)) Qualification - .(SETQ PRIOR-TOKEN $1) ; +\defun{compRepeatOrCollect}{compRepeatOrCollect} +\calls{compRepeatOrCollect}{length} +\calls{compRepeatOrCollect}{compIterator} +\calls{compRepeatOrCollect}{modeIsAggregateOf} +\calls{compRepeatOrCollect}{stackMessage} +\calls{compRepeatOrCollect}{compOrCroak} +\calls{compRepeatOrCollect}{comp} +\calls{compRepeatOrCollect}{msubst} +\calls{compRepeatOrCollect}{coerceExit} +\calls{compRepeatOrCollect}{} +\calls{compRepeatOrCollect}{} +\usesdollar{compRepeatOrCollect}{until} +\usesdollar{compRepeatOrCollect}{Boolean} +\usesdollar{compRepeatOrCollect}{NoValueMode} +\usesdollar{compRepeatOrCollect}{exitModeStack} +\usesdollar{compRepeatOrCollect}{leaveLevelStack} +\usesdollar{compRepeatOrCollect}{formalArgList} +\begin{chunk}{defun compRepeatOrCollect} +(defun |compRepeatOrCollect| (form mode env) + (labels ( + (fn (form |$exitModeStack| |$leaveLevelStack| |$formalArgList| env) + (declare (special |$exitModeStack| |$leaveLevelStack| |$formalArgList|)) + (let (|$until| body itl xp targetMode repeatOrCollect bodyMode bodyp mp tmp1 + untilCode ep itlp formp u mpp tmp2) + (declare (special |$Boolean| |$until| |$NoValueMode| )) + (setq |$until| nil) + (setq repeatOrCollect (car form)) + (setq tmp1 (reverse (cdr form))) + (setq body (car tmp1)) + (setq itl (nreverse (cdr tmp1))) + (setq itlp + (dolist (x itl (nreverse0 tmp2)) + (setq tmp1 (or (|compIterator| x env) (return '|failed|))) + (setq xp (first tmp1)) + (setq env (second tmp1)) + (push xp tmp2))) + (unless (eq itlp '|failed|) + (setq targetMode (car |$exitModeStack|)) + (setq bodyMode + (if (eq repeatOrCollect 'collect) + (cond + ((eq targetMode '|$EmptyMode|) + '|$EmptyMode|) + ((setq u (|modeIsAggregateOf| '|List| targetMode env)) + (second u)) + ((setq u (|modeIsAggregateOf| '|PrimitiveArray| targetMode env)) + (setq repeatOrCollect 'collectv) + (second u)) + ((setq u (|modeIsAggregateOf| '|Vector| targetMode env)) + (setq repeatOrCollect 'collectvec) + (second u)) + (t + (|stackMessage| "Invalid collect bodytype") + '|failed|)) + |$NoValueMode|)) + (unless (eq bodyMode '|failed|) + (when (setq tmp1 (|compOrCroak| body bodyMode env)) + (setq bodyp (first tmp1)) + (setq mp (second tmp1)) + (setq ep (third tmp1)) + (when |$until| + (setq tmp1 (|comp| |$until| |$Boolean| ep)) + (setq untilCode (first tmp1)) + (setq ep (third tmp1)) + (setq itlp (msubst (list 'until untilCode) '|$until| itlp))) + (setq formp (cons repeatOrCollect (append itlp (list bodyp)))) + (setq mpp + (cond + ((eq repeatOrCollect 'collect) + (if (setq u (|modeIsAggregateOf| '|List| targetMode env)) + (car u) + (list '|List| mp))) + ((eq repeatOrCollect 'collectv) + (if (setq u (|modeIsAggregateOf| '|PrimitiveArray| targetMode env)) + (car u) + (list '|PrimitiveArray| mp))) + ((eq repeatOrCollect 'collectvec) + (if (setq u (|modeIsAggregateOf| '|Vector| targetMode env)) + (car u) + (list '|Vector| mp))) + (t mp))) + (|coerceExit| (list formp mpp ep) targetMode)))))) ) + (declare (special |$exitModeStack| |$leaveLevelStack| |$formalArgList|)) + (fn form + (cons mode |$exitModeStack|) + (cons (|#| |$exitModeStack|) |$leaveLevelStack|) + |$formalArgList| + env))) -Qualification: '$' Primary1 +=(dollarTran #1 #1) ; +\end{chunk} -SemiColon: ';' (Expr{82} / + \/throwAway) +(\; #2 #1) ; +\defplist{return}{compReturn plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|return| 'special) '|compReturn|)) -Return: 'return' Expression +(return #1) ; +\end{chunk} -Exit: 'exit' (Expression / +\$NoValue) +(exit #1) ; +\defun{compReturn}{compReturn} +\calls{compReturn}{stackSemanticError} +\calls{compReturn}{nequal} +\calls{compReturn}{userError} +\calls{compReturn}{resolve} +\calls{compReturn}{comp} +\calls{compReturn}{modifyModeStack} +\usesdollar{compReturn}{exitModeStack} +\usesdollar{compReturn}{returnMode} +\begin{chunk}{defun compReturn} +(defun |compReturn| (form mode env) + (let (level x index u xp mp ep) + (declare (special |$returnMode| |$exitModeStack|)) + (setq level (second form)) + (setq x (third form)) + (cond + ((null |$exitModeStack|) + (|stackSemanticError| + (list '|the return before| '|%b| x '|%d| '|is unneccessary|) nil) + nil) + ((nequal level 1) + (|userError| "multi-level returns not supported")) + (t + (setq index (max 0 (1- (|#| |$exitModeStack|)))) + (when (>= index 0) + (setq |$returnMode| + (|resolve| (elt |$exitModeStack| index) |$returnMode|))) + (when (setq u (|comp| x |$returnMode| env)) + (setq xp (first u)) + (setq mp (second u)) + (setq ep (third u)) + (when (>= index 0) + (setq |$returnMode| (|resolve| mp |$returnMode|)) + (|modifyModeStack| mp index)) + (list (list '|TAGGEDreturn| 0 u) mode ep)))))) -Leave: 'leave' ( Expression / +\$NoValue ) - ('from' Label +(leaveFrom #1 #1) / +(leave #1)) ; +\end{chunk} -Seg: GliphTok{"\.\.} ! +(SEGMENT #2 #1) ; +\defplist{seq}{compSeq plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'seq 'special) '|compSeq|)) -Conditional: 'if' Expression 'then' Expression <'else' ElseClause>! - +(if #3 #2 #1) ; +\end{chunk} -ElseClause: ?(EQ (CURRENT-SYMBOL) "if) Conditional / Expression ; +\defun{compSeq}{compSeq} +\calls{compSeq}{compSeq1} +\usesdollar{compSeq}{exitModeStack} +\begin{chunk}{defun compSeq} +(defun |compSeq| (form mode env) + (declare (special |$exitModeStack|)) + (|compSeq1| (cdr form) (cons mode |$exitModeStack|) env)) -Loop: Iterator* 'repeat' Expr{110} +(REPEAT -#2 #1) - / 'repeat' Expr{110} +(REPEAT #1) ; +\end{chunk} -Iterator: 'for' Primary 'in' Expression - ( 'by' Expr{200} +(INBY #3 #2 #1) / +(IN #2 #1) ) - < '\|' Expr{111} +(\| #1) > - / 'while' Expr{190} +(WHILE #1) - / 'until' Expr{190} +(UNTIL #1) ; +\defun{compSeq1}{compSeq1} +\calls{compSeq1}{nreverse0} +\calls{compSeq1}{compSeqItem} +\calls{compSeq1}{mkq} +\calls{compSeq1}{replaceExitEtc} +\usesdollar{compSeq1}{exitModeStack} +\usesdollar{compSeq1}{insideExpressionIfTrue} +\usesdollar{compSeq1}{finalEnv} +\usesdollar{compSeq1}{NoValueMode} +\begin{chunk}{defun compSeq1} +(defun |compSeq1| (form |$exitModeStack| env) + (declare (special |$exitModeStack|)) + (let (|$insideExpressionIfTrue| |$finalEnv| tmp1 tmp2 c catchTag newform) + (declare (special |$insideExpressionIfTrue| |$finalEnv| |$NoValueMode|)) + (setq |$insideExpressionIfTrue| nil) + (setq |$finalEnv| nil) + (when + (setq c (dolist (x form (nreverse0 tmp2)) + (setq |$insideExpressionIfTrue| nil) + (setq tmp1 (|compSeqItem| x |$NoValueMode| env)) + (unless tmp1 (return nil)) + (setq env (third tmp1)) + (push (first tmp1) tmp2))) + (setq catchTag (mkq (gensym))) + (setq newform + (cons 'seq + (|replaceExitEtc| c catchTag '|TAGGEDexit| (elt |$exitModeStack| 0)))) + (list (list 'catch catchTag newform) + (elt |$exitModeStack| 0) |$finalEnv|)))) -Expr{RBP}: NudPart{RBP} * +#1; +\end{chunk} -LabelExpr: Label Expr{120} +(LABEL #2 #1) ; +\defun{replaceExitEtc}{replaceExitEtc} +\calls{replaceExitEtc}{qcar} +\calls{replaceExitEtc}{qcdr} +\calls{replaceExitEtc}{rplac} +\calls{replaceExitEtc}{replaceExitEtc} +\calls{replaceExitEtc}{intersectionEnvironment} +\calls{replaceExitEtc}{convertOrCroak} +\defsdollar{replaceExitEtc}{finalEnv} +\refsdollar{replaceExitEtc}{finalEnv} +\begin{chunk}{defun replaceExitEtc} +(defun |replaceExitEtc| (x tag opFlag opMode) + (declare (special |$finalEnv|)) + (cond + ((atom x) nil) + ((and (consp x) (eq (qfirst x) 'quote)) nil) + ((and (consp x) (equal (qfirst x) opFlag) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (|rplac| (caaddr x) (|replaceExitEtc| (caaddr x) tag opFlag opMode)) + (cond + ((eql (second x) 0) + (setq |$finalEnv| + (if |$finalEnv| + (|intersectionEnvironment| |$finalEnv| (third (third x))) + (third (third x)))) + (|rplac| (car x) 'throw) + (|rplac| (cadr x) tag) + (|rplac| (caddr x) (car (|convertOrCroak| (caddr x) opMode)))) + (t + (|rplac| (cadr x) (1- (cadr x)))))) + ((and (consp x) (consp (qrest x)) (consp (qcddr x)) + (eq (qcdddr x) nil) + (member (qfirst x) '(|TAGGEDreturn| |TAGGEDexit|))) + (|rplac| (car (caddr x)) + (|replaceExitEtc| (car (caddr x)) tag opFlag opMode))) + (t + (|replaceExitEtc| (car x) tag opFlag opMode) + (|replaceExitEtc| (cdr x) tag opFlag opMode))) + x) -Label: '@<<' Name '>>' ; +\end{chunk} -LedPart{RBP}: Operation{"Led RBP} +#1; +\defun{convertOrCroak}{convertOrCroak} +\calls{convertOrCroak}{convert} +\calls{convertOrCroak}{userError} +\begin{chunk}{defun convertOrCroak} +(defun |convertOrCroak| (tt m) + (let (u) + (if (setq u (|convert| tt m)) + u + (|userError| + (list '|CANNOT CONVERT: | (first tt) '|%l| '| OF MODE: | (second tt) + '|%l| '| TO MODE: | m '|%l|))))) -NudPart{RBP}: (Operation{"Nud RBP} / Reduction / Form) +#1 ; +\end{chunk} -Operation{ParseMode RBP}: - ^?(MATCH-CURRENT-TOKEN "IDENTIFIER) - ?(GETL (SETQ tmptok (CURRENT-SYMBOL)) ParseMode) - ?(LT RBP (PARSE-leftBindingPowerOf tmptok ParseMode)) - .(SETQ RBP (PARSE-rightBindingPowerOf tmptok ParseMode)) - getSemanticForm{tmptok ParseMode (ELEMN (GETL tmptok ParseMode) 5 NIL)} ; +\defun{compSeqItem}{compSeqItem} +\calls{compSeqItem}{comp} +\calls{compSeqItem}{macroExpand} +\begin{chunk}{defun compSeqItem} +(defun |compSeqItem| (form mode env) + (|comp| (|macroExpand| form env) mode env)) -% Binding powers stored under the Led and Red properties of an operator -% are set up by the file BOTTOMUP.LISP. The format for a Led property -% is , and the same for a Nud, except that -% it may also have a fourth component . ELEMN attempts to -% get the Nth indicator, counting from 1. +\end{chunk} -leftBindingPowerOf{X IND}: =(LET ((Y (GETL X IND))) (IF Y (ELEMN Y 3 0) 0)) ; +\defplist{let}{compSetq plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'let 'special) '|compSetq|)) -rightBindingPowerOf{X IND}: =(LET ((Y (GETL X IND))) (IF Y (ELEMN Y 4 105) 105)) ; +\end{chunk} -getSemanticForm{X IND Y}: - ?(AND Y (EVAL Y)) / ?(EQ IND "Nud) Prefix / ?(EQ IND "Led) Infix ; +\defplist{setq}{compSetq plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'setq 'special) '|compSetq|)) +\end{chunk} -Reduction: ReductionOp Expr{1000} +(Reduce #2 #1) ; +\defun{compSetq}{compSetq} +\calls{compSetq}{compSetq1} +\begin{chunk}{defun compSetq} +(defun |compSetq| (form mode env) + (|compSetq1| (second form) (third form) mode env)) -ReductionOp: ?(AND (GETL (CURRENT-SYMBOL) "Led) - (MATCH-NEXT-TOKEN "SPECIAL-CHAR (CODE-CHAR 47))) % Forgive me! - +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) .(ADVANCE-TOKEN) ; +\end{chunk} -Form: 'iterate' < 'from' Label +(#1) >! +(iterate -#1) - / 'yield' Application +(yield #1) - / Application ; +\defun{compSetq1}{compSetq1} +\calls{compSetq1}{setqSingle} +\seebook{compSetq1}{identp}{5} +\calls{compSetq1}{compMakeDeclaration} +\calls{compSetq1}{compSetq} +\calls{compSetq1}{qcar} +\calls{compSetq1}{qcdr} +\calls{compSetq1}{setqMultiple} +\calls{compSetq1}{setqSetelt} +\usesdollar{compSetq1}{EmptyMode} +\begin{chunk}{defun compSetq1} +(defun |compSetq1| (form val mode env) + (let (x y ep op z) + (declare (special |$EmptyMode|)) + (cond + ((identp form) (|setqSingle| form val mode env)) + ((and (consp form) (eq (qfirst form) '|:|) (consp (qrest form)) + (consp (qcddr form)) (eq (qcdddr form) nil)) + (setq x (second form)) + (setq y (third form)) + (setq ep (third (|compMakeDeclaration| form |$EmptyMode| env))) + (|compSetq| (list 'let x val) mode ep)) + ((consp form) + (setq op (qfirst form)) + (setq z (qrest form)) + (cond + ((eq op 'cons) (|setqMultiple| (|uncons| form) val mode env)) + ((eq op '|@Tuple|) (|setqMultiple| z val mode env)) + (t (|setqSetelt| form val mode env))))))) -Application: Primary * ; +\end{chunk} -Selector: ?NONBLANK ?(EQ (CURRENT-SYMBOL) "\.) ?(CHAR-NE (CURRENT-CHAR) "\ ) - '.' PrimaryNoFloat (=\$BOOT +(ELT #2 #1)/ +(#2 #1)) - / (Float /'.' Primary) (=\$BOOT +(ELT #2 #1)/ +(#2 #1)); +\defun{uncons}{uncons} +\calls{uncons}{uncons} +\begin{chunk}{defun uncons} +(defun |uncons| (x) + (cond + ((atom x) x) + ((and (consp x) (eq (qfirst x) 'cons) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (cons (second x) (|uncons| (third x)))))) -PrimaryNoFloat: Primary1 ; +\end{chunk} -Primary: Float /PrimaryNoFloat ; +\defun{setqMultiple}{setqMultiple} +\calls{setqMultiple}{nreverse0} +\calls{setqMultiple}{qcar} +\calls{setqMultiple}{qcdr} +\calls{setqMultiple}{stackMessage} +\calls{setqMultiple}{setqMultipleExplicit} +\calls{setqMultiple}{genVariable} +\calls{setqMultiple}{addBinding} +\calls{setqMultiple}{compSetq1} +\calls{setqMultiple}{convert} +\calls{setqMultiple}{put} +\calls{setqMultiple}{genSomeVariable} +\calls{setqMultiple}{length} +\calls{setqMultiple}{mkprogn} +\refsdollar{setqMultiple}{EmptyMode} +\refsdollar{setqMultiple}{NoValueMode} +\refsdollar{setqMultiple}{noEnv} +\begin{chunk}{defun setqMultiple} +(defun |setqMultiple| (nameList val m env) + (labels ( + (decompose (tt len env) + (declare (ignore len)) + (let (tmp1 z) + (declare (special |$EmptyMode|)) + (cond + ((and (consp tt) (eq (qfirst tt) '|Record|) + (progn (setq z (qrest tt)) t)) + (loop for item in z + collect (cons (second item) (third item)))) + ((progn + (setq tmp1 (|comp| tt |$EmptyMode| env)) + (and (consp tmp1) (consp (qrest tmp1)) (consp (qsecond tmp1)) + (eq (qcaadr tmp1) '|RecordCategory|) + (consp (qcddr tmp1)) (eq (qcdddr tmp1) nil))) + (loop for item in z + collect (cons (second item) (third item)))) + (t (|stackMessage| (list '|no multiple assigns to mode: | tt))))))) + (let (g m1 tt x mp selectorModePairs tmp2 assignList) + (declare (special |$noEnv| |$EmptyMode| |$NoValueMode|)) + (cond + ((and (consp val) (eq (qfirst val) 'cons) (equal m |$NoValueMode|)) + (|setqMultipleExplicit| nameList (|uncons| val) m env)) + ((and (consp val) (eq (qfirst val) '|@Tuple|) (equal m |$NoValueMode|)) + (|setqMultipleExplicit| nameList (qrest val) m env)) + ; 1 create a gensym, %add to local environment, compile and assign rhs + (t + (setq g (|genVariable|)) + (setq env (|addBinding| g nil env)) + (setq tmp2 (|compSetq1| g val |$EmptyMode| env)) + (when tmp2 + (setq tt tmp2) + (setq m1 (cadr tmp2)) + (setq env (|put| g 'mode m1 env)) + (setq tmp2 (|convert| tt m)) +; 1.1 --exit if result is a list + (when tmp2 + (setq x (first tmp2)) + (setq mp (second tmp2)) + (setq env (third tmp2)) + (cond + ((and (consp m1) (eq (qfirst m1) '|List|) (consp (qrest m1)) + (eq (qcddr m1) nil)) + (loop for y in nameList do + (setq env + (|put| y '|value| (list (|genSomeVariable|) (second m1) |$noEnv|) + env))) + (|convert| (list (list 'progn x (list 'let nameList g) g) mp env) m)) + (t +; 2 --verify that the #nameList = number of parts of right-hand-side + (setq selectorModePairs + (decompose m1 (|#| nameList) env)) + (when selectorModePairs + (cond + ((nequal (|#| nameList) (|#| selectorModePairs)) + (|stackMessage| + (list val '| must decompose into | + (|#| nameList) '| components| ))) + (t +; 3 --generate code + (setq assignList + (loop for x in nameList + for item in selectorModePairs + collect (car + (progn + (setq tmp2 + (or (|compSetq1| x (list '|elt| g (first item)) + (rest item) env) + (return '|failed|))) + (setq env (third tmp2)) + tmp2)))) + (unless (eq assignList '|failed|) + (list (mkprogn (cons x (append assignList (list g)))) mp env)) + )))))))))))) -Primary1: VarForm <=(AND NONBLANK (EQ (CURRENT-SYMBOL) "\()) Primary1 +(#2 #1)> - /Quad - /String - /IntegerTok - /FormalParameter - /='\'' (?\$BOOT Data / '\'' Expr{999} +(QUOTE #1)) - /Sequence - /Enclosure ; +\end{chunk} -Float: FloatBase (?NONBLANK FloatExponent / +0) +=(MAKE-FLOAT #4 #2 #2 #1) ; +\defun{setqMultipleExplicit}{setqMultipleExplicit} +\calls{setqMultipleExplicit}{nequal} +\calls{setqMultipleExplicit}{stackMessage} +\calls{setqMultipleExplicit}{genVariable} +\calls{setqMultipleExplicit}{compSetq1} +\calls{setqMultipleExplicit}{last} +\refsdollar{setqMultipleExplicit}{EmptyMode} +\refsdollar{setqMultipleExplicit}{NoValueMode} +\begin{chunk}{defun setqMultipleExplicit} +(defun |setqMultipleExplicit| (nameList valList m env) + (declare (ignore m)) + (let (gensymList assignList tmp1 reAssignList) + (declare (special |$NoValueMode| |$EmptyMode|)) + (cond + ((nequal (|#| nameList) (|#| valList)) + (|stackMessage| + (list '|Multiple assignment error; # of items in: | nameList + '|must = # in: | valList))) + (t + (setq gensymList + (loop for name in nameList + collect (|genVariable|))) + (setq assignList + (loop for g in gensymList + for val in valList + collect (progn + (setq tmp1 + (or (|compSetq1| g val |$EmptyMode| env) + (return '|failed|))) + (setq env (third tmp1)) + tmp1))) + (unless (eq assignList '|failed|) + (setq reAssignList + (loop for g in gensymList + for name in nameList + collect (progn + (setq tmp1 + (or (|compSetq1| name g |$EmptyMode| env) + (return '|failed|))) + (setq env (third tmp1)) + tmp1))) + (unless (eq reAssignList '|failed|) + (list + (cons 'progn + (append + (loop for tt in assignList + collect (car tt)) + (loop for tt in reAssignList + collect (car tt)))) + |$NoValueMode| (third (|last| reAssignList))))))))) -FloatBase: ?(FIXP (CURRENT-SYMBOL)) ?(CHAR-EQ (CURRENT-CHAR) '.') - ?(CHAR-NE (NEXT-CHAR) '.') - IntegerTok FloatBasePart - /?(FIXP (CURRENT-SYMBOL)) ?(CHAR-EQ (CHAR-UPCASE (CURRENT-CHAR)) "E) - IntegerTok +0 +0 - /?(DIGITP (CURRENT-CHAR)) ?(EQ (CURRENT-SYMBOL) "\.) - +0 FloatBasePart ; +\end{chunk} -FloatBasePart: '.' - (?(DIGITP (CURRENT-CHAR)) +=(TOKEN-NONBLANK (CURRENT-TOKEN)) IntegerTok - / +0 +0); +\defun{setqSetelt}{setqSetelt} +\calls{setqSetelt}{comp} +\begin{chunk}{defun setqSetelt} +(defun |setqSetelt| (form val mode env) + (|comp| (cons '|setelt| (cons (car form) (append (cdr form) (list val)))) + mode env)) +\end{chunk} -FloatExponent: =(AND (MEMBER (CURRENT-SYMBOL) "(E e)) - (FIND (CURRENT-CHAR) '+-')) - .(ADVANCE-TOKEN) - (IntegerTok/'+' IntegerTok/'-' IntegerTok +=(MINUS #1)/+0) - /?(IDENTP (CURRENT-SYMBOL)) =(SETQ $1 (FLOATEXPID (CURRENT-SYMBOL))) - .(ADVANCE-TOKEN) +=$1 ; +\defun{setqSingle}{setqSingle} +\seebook{setqSingle}{getProplist}{5} +\calls{setqSingle}{getmode} +\calls{setqSingle}{get} +\calls{setqSingle}{nequal} +\calls{setqSingle}{maxSuperType} +\calls{setqSingle}{comp} +\calls{setqSingle}{getmode} +\calls{setqSingle}{assignError} +\calls{setqSingle}{convert} +\seebook{setqSingle}{identp}{5} +\calls{setqSingle}{profileRecord} +\calls{setqSingle}{consProplistOf} +\calls{setqSingle}{removeEnv} +\seebook{setqSingle}{addBinding}{5} +\calls{setqSingle}{isDomainForm} +\calls{setqSingle}{isDomainInScope} +\calls{setqSingle}{stackWarning} +\calls{setqSingle}{augModemapsFromDomain1} +\calls{setqSingle}{NRTassocIndex} +\calls{setqSingle}{isDomainForm} +\calls{setqSingle}{outputComp} +\usesdollar{setqSingle}{insideSetqSingleIfTrue} +\usesdollar{setqSingle}{QuickLet} +\usesdollar{setqSingle}{form} +\usesdollar{setqSingle}{profileCompiler} +\usesdollar{setqSingle}{EmptyMode} +\usesdollar{setqSingle}{NoValueMode} +\begin{chunk}{defun setqSingle} +(defun |setqSingle| (form val mode env) + (let (|$insideSetqSingleIfTrue| currentProplist mpp maxmpp td x mp tp key + newProplist ep k newform) + (declare (special |$insideSetqSingleIfTrue| |$QuickLet| |$form| + |$profileCompiler| |$EmptyMode| |$NoValueMode|)) + (setq |$insideSetqSingleIfTrue| t) + (setq currentProplist (|getProplist| form env)) + (setq mpp + (or (|get| form '|mode| env) (|getmode| form env) + (if (equal mode |$NoValueMode|) |$EmptyMode| mode))) + (when (setq td + (cond + ((setq td (|comp| val mpp env)) + td) + ((and (null (|get| form '|mode| env)) + (nequal mpp (setq maxmpp (|maxSuperType| mpp env))) + (setq td (|comp| val maxmpp env))) + td) + ((and (setq td (|comp| val |$EmptyMode| env)) + (|getmode| (second td) env)) + (|assignError| val (second td) form mpp)))) + (when (setq tp (|convert| td mode)) + (setq x (first tp)) + (setq mp (second tp)) + (setq ep (third tp)) + (when (and |$profileCompiler| (identp form)) + (setq key (if (member form (cdr |$form|)) '|arguments| '|locals|)) + (|profileRecord| key form (second td))) + (setq newProplist + (|consProplistOf| form currentProplist '|value| + (|removeEnv| (cons val (cdr td))))) + (setq ep (if (consp form) ep (|addBinding| form newProplist ep))) + (when (|isDomainForm| val ep) + (when (|isDomainInScope| form ep) + (|stackWarning| + (list '|domain valued variable| '|%b| form '|%d| + '|has been reassigned within its scope| ))) + (setq ep (|augModemapsFromDomain1| form val ep))) + (if (setq k (|NRTassocIndex| form)) + (setq newform (list 'setelt '$ k x)) + (setq newform + (if |$QuickLet| + (list 'let form x) + (list 'let form x + (if (|isDomainForm| x ep) + (list 'elt form 0) + (car (|outputComp| form ep))))))) + (list newform mp ep))))) -Enclosure: '(' ( Expr{6} ')' / ')' +(Tuple) ) - / '{' ( Expr{6} '}' +(brace (construct #1)) / '}' +(brace)) ; +\end{chunk} -IntegerTok: NUMBER ; +\defun{NRTassocIndex}{NRTassocIndex} +This function returns the index of domain entry x in the association list +\refsdollar{NRTassocIndex}{NRTaddForm} +\refsdollar{NRTassocIndex}{NRTdeltaList} +\refsdollar{NRTassocIndex}{found} +\refsdollar{NRTassocIndex}{NRTbase} +\refsdollar{NRTassocIndex}{NRTdeltaLength} +\begin{chunk}{defun NRTassocIndex} +(defun |NRTassocIndex| (x) + (let (k (i 0)) + (declare (special |$NRTdeltaLength| |$NRTbase| |$found| |$NRTdeltaList| + |$NRTaddForm|)) + (cond + ((null x) x) + ((equal x |$NRTaddForm|) 5) + ((setq k + (let (result) + (loop for y in |$NRTdeltaList| + when (and (incf i) + (eq (elt y 0) '|domain|) + (equal (elt y 1) x) + (setq |$found| y)) + do (setq result (or result i))) + result)) + (- (+ |$NRTbase| |$NRTdeltaLength|) k)) + (t nil)))) -FloatTok: NUMBER +=(IF \$BOOT #1 (BFP- #1)) ; +\end{chunk} -FormalParameter: FormalParameterTok ; +\defun{assignError}{assignError} +\calls{assignError}{stackMessage} +\begin{chunk}{defun assignError} +(defun |assignError| (val mp form m) + (let (message) + (setq message + (if val + (list '|CANNOT ASSIGN: | val '|%l| + '| OF MODE: | mp '|%l| + '| TO: | form '|%l| '| OF MODE: | m) + (list '|CANNOT ASSIGN: | val '|%l| + '| TO: | form '|%l| '| OF MODE: | m))) + (|stackMessage| message))) -FormalParameterTok: ARGUMENT-DESIGNATOR ; +\end{chunk} -Quad: '$' +\$ / ?\$BOOT GliphTok{"\.} +\. ; +\defun{outputComp}{outputComp} +\calls{outputComp}{comp} +\calls{outputComp}{qcar} +\calls{outputComp}{qcdr} +\calls{outputComp}{nreverse0} +\calls{outputComp}{outputComp} +\calls{outputComp}{get} +\refsdollar{outputComp}{Expression} +\begin{chunk}{defun outputComp} +(defun |outputComp| (x env) + (let (argl v) + (declare (special |$Expression|)) + (cond + ((|comp| (list '|::| x |$Expression|) |$Expression| env)) + ((and (consp x) (eq (qfirst x) '|construct|)) + (setq argl (qrest x)) + (list (cons 'list + (let (result tmp1) + (loop for x in argl + do (setq result + (cons (car + (progn + (setq tmp1 (|outputComp| x env)) + (setq env (third tmp1)) + tmp1)) + result))) + (nreverse0 result))) + |$Expression| env)) + ((and (setq v (|get| x '|value| env)) + (consp (cadr v)) (eq (qfirst (cadr v)) '|Union|)) + (list (list '|coerceUn2E| x (cadr v)) |$Expression| env)) + (t (list x |$Expression| env))))) -String: SPADSTRING ; +\end{chunk} -VarForm: Name +#1 ; +\defun{maxSuperType}{maxSuperType} +\calls{maxSuperType}{get} +\calls{maxSuperType}{maxSuperType} +\begin{chunk}{defun maxSuperType} +(defun |maxSuperType| (m env) + (let (typ) + (if (setq typ (|get| m '|SuperDomain| env)) + (|maxSuperType| typ env) + m))) -Scripts: ?NONBLANK '[' ScriptItem ']' ; +\end{chunk} -ScriptItem: Expr{90} <(';' ScriptItem)* +(\; #2 -#1)> - / ';' ScriptItem +(PrefixSC #1) ; +\defun{isDomainForm}{isDomainForm} +\calls{isDomainForm}{kar} +\calls{isDomainForm}{qcar} +\calls{isDomainForm}{qcdr} +\calls{isDomainForm}{isFunctor} +\calls{isDomainForm}{isCategoryForm} +\calls{isDomainForm}{isDomainConstructorForm} +\refsdollar{isDomainForm}{SpecialDomainNames} +\begin{chunk}{defun isDomainForm} +(defun |isDomainForm| (d env) + (let (tmp1) + (declare (special |$SpecialDomainNames|)) + (or (member (kar d) |$SpecialDomainNames|) (|isFunctor| d) + (and (progn + (setq tmp1 (|getmode| d env)) + (and (consp tmp1) (eq (qfirst tmp1) '|Mapping|) (consp (qrest tmp1)))) + (|isCategoryForm| (qsecond tmp1) env)) + (|isCategoryForm| (|getmode| d env) env) + (|isDomainConstructorForm| d env)))) -Name: IDENTIFIER +#1 ; +\end{chunk} -Data: .(SETQ LABLASOC NIL) Sexpr +(QUOTE =(TRANSLABEL #1 LABLASOC)) ; +\defun{isDomainConstructorForm}{isDomainConstructorForm} +\calls{isDomainConstructorForm}{qcar} +\calls{isDomainConstructorForm}{qcdr} +\calls{isDomainConstructorForm}{isCategoryForm} +\calls{isDomainConstructorForm}{eqsubstlist} +\refsdollar{isDomainConstructorForm}{FormalMapVariableList} +\begin{chunk}{defun isDomainConstructorForm} +(defun |isDomainConstructorForm| (d env) + (let (u) + (declare (special |$FormalMapVariableList|)) + (when + (and (consp d) + (setq u (|get| (qfirst d) '|value| env)) + (consp u) + (consp (qrest u)) + (consp (qsecond u)) + (eq (qcaadr u) '|Mapping|) + (consp (qcdadr u))) + (|isCategoryForm| + (eqsubstlist (rest d) |$FormalMapVariableList| (cadadr u)) env)))) -Sexpr: .(ADVANCE-TOKEN) Sexpr1 ; +\end{chunk} -Sexpr1: AnyId - < NBGliphTok{"\=} Sexpr1 - .(SETQ LABLASOC (CONS (CONS #2 ##1) LABLASOC))> - / '\'' Sexpr1 +(QUOTE #1) - / IntegerTok - / '-' IntegerTok +=(MINUS #1) - / String - / '<' ! '>' +=(LIST2VEC #1) - / '(' >! ')' ; +\defplist{String}{compString plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|String| 'special) '|compString|)) -NBGliphTok{tok}: ?(AND (MATCH-CURRENT-TOKEN "GLIPH tok) NONBLANK) - .(ADVANCE-TOKEN) ; +\end{chunk} -GliphTok{tok}: ?(MATCH-CURRENT-TOKEN "GLIPH tok) .(ADVANCE-TOKEN) ; +\defun{compString}{compString} +\calls{compString}{resolve} +\usesdollar{compString}{StringCategory} +\begin{chunk}{defun compString} +(defun |compString| (form mode env) + (declare (special |$StringCategory|)) + (list form (|resolve| |$StringCategory| mode) env)) -AnyId: IDENTIFIER - / (='$' +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) / KEYWORD) ; +\end{chunk} -Sequence: OpenBracket Sequence1 ']' - / OpenBrace Sequence1 '}' +(brace #1) ; +\defplist{SubDomain}{compSubDomain plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|SubDomain| 'special) '|compSubDomain|)) -Sequence1: (Expression +(#2 #1) / +(#1)) ; +\end{chunk} -OpenBracket: =(EQ (getToken (SETQ $1 (CURRENT-SYMBOL))) "\[ ) - (=(EQCAR $1 "elt) +(elt =(CADR $1) construct) - / +construct) .(ADVANCE-TOKEN) ; +\defun{compSubDomain}{compSubDomain} +\calls{compSubDomain}{compSubDomain1} +\calls{compSubDomain}{compCapsule} +\usesdollar{compSubDomain}{addFormLhs} +\usesdollar{compSubDomain}{NRTaddForm} +\usesdollar{compSubDomain}{addForm} +\usesdollar{compSubDomain}{addFormLhs} +\begin{chunk}{defun compSubDomain} +(defun |compSubDomain| (form mode env) + (let (|$addFormLhs| |$addForm| domainForm predicate tmp1) + (declare (special |$addFormLhs| |$addForm| |$NRTaddForm| |$addFormLhs|)) + (setq domainForm (second form)) + (setq predicate (third form)) + (setq |$addFormLhs| domainForm) + (setq |$addForm| nil) + (setq |$NRTaddForm| domainForm) + (setq tmp1 (|compSubDomain1| domainForm predicate mode env)) + (setq |$addForm| (first tmp1)) + (setq env (third tmp1)) + (|compCapsule| (list 'capsule) mode env))) -OpenBrace: =(EQ (getToken (SETQ $1 (CURRENT-SYMBOL))) "\{ ) - (=(EQCAR $1 "elt) +(elt =(CADR $1) brace) - / +construct) .(ADVANCE-TOKEN) ; +\end{chunk} -IteratorTail: ('repeat' ! / Iterator*) ; +\defun{compSubDomain1}{compSubDomain1} +\calls{compSubDomain1}{compMakeDeclaration} +\calls{compSubDomain1}{addDomain} +\calls{compSubDomain1}{compOrCroak} +\calls{compSubDomain1}{stackSemanticError} +\calls{compSubDomain1}{lispize} +\calls{compSubDomain1}{evalAndRwriteLispForm} +\usesdollar{compSubDomain1}{CategoryFrame} +\usesdollar{compSubDomain1}{op} +\usesdollar{compSubDomain1}{lisplibSuperDomain} +\usesdollar{compSubDomain1}{Boolean} +\usesdollar{compSubDomain1}{EmptyMode} +\begin{chunk}{defun compSubDomain1} +(defun |compSubDomain1| (domainForm predicate mode env) + (let (u prefixPredicate opp dFp) + (declare (special |$CategoryFrame| |$op| |$lisplibSuperDomain| |$Boolean| + |$EmptyMode|)) + (setq env (third + (|compMakeDeclaration| (list '|:| '|#1| domainForm) + |$EmptyMode| (|addDomain| domainForm env)))) + (setq u (|compOrCroak| predicate |$Boolean| env)) + (unless u + (|stackSemanticError| + (list '|predicate: | predicate + '| cannot be interpreted with #1: | domainForm) nil)) + (setq prefixPredicate (|lispize| (first u))) + (setq |$lisplibSuperDomain| (list domainForm predicate)) + (|evalAndRwriteLispForm| '|evalOnLoad2| + (list 'setq '|$CategoryFrame| + (list '|put| + (setq opp (list 'quote |$op|)) + ''|SuperDomain| + (setq dFp (list 'quote domainForm)) + (list '|put| dFp ''|SubDomain| + (list 'cons (list 'quote (cons |$op| prefixPredicate)) + (list 'delasc opp (list '|get| dFp ''|SubDomain| '|$CategoryFrame|))) + '|$CategoryFrame|)))) + (list domainForm mode env))) -.FIN ; +\end{chunk} -\end{verbatim} -\section{The PARSE code} +\defun{lispize}{lispize} +\calls{lispize}{optimize} +\begin{chunk}{defun lispize} +(defun |lispize| (x) + (car (|optimize| (list x)))) -\defvar{tmptok} -\begin{chunk}{initvars} -(defvar |tmptok| nil) +\end{chunk} + +\defplist{SubsetCategory}{compSubsetCategory plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|SubsetCategory| 'special) '|compSubsetCategory|)) \end{chunk} -\defvar{tok} -\begin{chunk}{initvars} -(defvar tok nil) +\defun{compSubsetCategory}{compSubsetCategory} +\tpdhere{See LocalAlgebra for an example call} +\calls{compSubsetCategory}{put} +\calls{compSubsetCategory}{comp} +\calls{compSubsetCategory}{msubst} +\usesdollar{compSubsetCategory}{lhsOfColon} +\begin{chunk}{defun compSubsetCategory} +(defun |compSubsetCategory| (form mode env) + (let (cat r) + (declare (special |$lhsOfColon|)) + (setq cat (second form)) + (setq r (third form)) + ; --1. put "Subsets" property on R to allow directly coercion to subset; + ; -- allow automatic coercion from subset to R but not vice versa + (setq env (|put| r '|Subsets| (list (list |$lhsOfColon| '|isFalse|)) env)) + ; --2. give the subset domain modemaps of cat plus 3 new functions + (|comp| + (list '|Join| cat + (msubst |$lhsOfColon| '$ + (list 'category '|domain| + (list 'signature '|coerce| (list r '$)) + (list 'signature '|lift| (list r '$)) + (list 'signature '|reduce| (list '$ r))))) + mode env))) \end{chunk} -\defvar{ParseMode} -\begin{chunk}{initvars} -(defvar |ParseMode| nil) +\defplist{|}{compSuchthat plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '\| 'special) '|compSuchthat|)) \end{chunk} -\defvar{definition-name} -\begin{chunk}{initvars} -(defvar definition-name nil) +\defun{compSuchthat}{compSuchthat} +\calls{compSuchthat}{comp} +\calls{compSuchthat}{put} +\usesdollar{compSuchthat}{Boolean} +\begin{chunk}{defun compSuchthat} +(defun |compSuchthat| (form mode env) + (let (x p xp mp tmp1 pp) + (declare (special |$Boolean|)) + (setq x (second form)) + (setq p (third form)) + (when (setq tmp1 (|comp| x mode env)) + (setq xp (first tmp1)) + (setq mp (second tmp1)) + (setq env (third tmp1)) + (when (setq tmp1 (|comp| p |$Boolean| env)) + (setq pp (first tmp1)) + (setq env (third tmp1)) + (setq env (|put| xp '|condition| pp env)) + (list xp mp env))))) \end{chunk} -\defvar{lablasoc} -\begin{chunk}{initvars} -(defvar lablasoc nil) +\defplist{vector}{compVector plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'vector 'special) '|compVector|)) \end{chunk} -\defun{PARSE-NewExpr}{PARSE-NewExpr} -\calls{PARSE-NewExpr}{match-string} -\calls{PARSE-NewExpr}{action} -\seebook{PARSE-NewExpr}{processSynonyms}{5} -\calls{PARSE-NewExpr}{must} -\calls{PARSE-NewExpr}{current-symbol} -\calls{PARSE-NewExpr}{PARSE-Statement} -\uses{PARSE-NewExpr}{definition-name} -\begin{chunk}{defun PARSE-NewExpr} -(defun |PARSE-NewExpr| () - (or (and (match-string ")") (action (|processSynonyms|)) - (must (|PARSE-Command|))) - (and (action (setq definition-name (current-symbol))) - (|PARSE-Statement|)))) + +\defun{compVector}{compVector} +\begin{verbatim} +; null l => [$EmptyVector,m,e] +; Tl:= [[.,mUnder,e]:= comp(x,mUnder,e) or return "failed" for x in l] +; Tl="failed" => nil +; [["VECTOR",:[T.expr for T in Tl]],m,e] +\end{verbatim} +\calls{compVector}{comp} +\usesdollar{compVector}{EmptyVector} +\begin{chunk}{defun compVector} +(defun |compVector| (form mode env) + (let (tmp1 tmp2 t0 failed (newmode (second mode))) + (declare (special |$EmptyVector|)) + (if (null form) + (list |$EmptyVector| mode env) + (progn + (setq t0 + (do ((t3 form (cdr t3)) (x nil)) + ((or (atom t3) failed) (unless failed (nreverse0 tmp2))) + (setq x (car t3)) + (if (setq tmp1 (|comp| x newmode env)) + (progn + (setq newmode (second tmp1)) + (setq env (third tmp1)) + (push tmp1 tmp2)) + (setq failed t)))) + (unless failed + (list (cons 'vector + (loop for texpr in t0 collect (car texpr))) mode env)))))) \end{chunk} -\defun{PARSE-Command}{PARSE-Command} -\calls{PARSE-Command}{match-advance-string} -\calls{PARSE-Command}{must} -\calls{PARSE-Command}{PARSE-SpecialKeyWord} -\calls{PARSE-Command}{PARSE-SpecialCommand} -\calls{PARSE-Command}{push-reduction} -\begin{chunk}{defun PARSE-Command} -(defun |PARSE-Command| () - (and (match-advance-string ")") (must (|PARSE-SpecialKeyWord|)) - (must (|PARSE-SpecialCommand|)) - (push-reduction '|PARSE-Command| nil))) +\defplist{where}{compWhere plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|where| 'special) '|compWhere|)) \end{chunk} -\defun{PARSE-SpecialKeyWord}{PARSE-SpecialKeyWord} -\calls{PARSE-SpecialKeyWord}{match-current-token} -\calls{PARSE-SpecialKeyWord}{action} -\calls{PARSE-SpecialKeyWord}{token-symbol} -\calls{PARSE-SpecialKeyWord}{current-token} -\seebook{PARSE-SpecialKeyWord}{unAbbreviateKeyword}{5} -\calls{PARSE-SpecialKeyWord}{current-symbol} -\begin{chunk}{defun PARSE-SpecialKeyWord} -(defun |PARSE-SpecialKeyWord| () - (and (match-current-token 'identifier) - (action (setf (token-symbol (current-token)) - (|unAbbreviateKeyword| (current-symbol)))))) +\defun{compWhere}{compWhere} +\calls{compWhere}{comp} +\calls{compWhere}{macroExpand} +\calls{compWhere}{deltaContour} +\calls{compWhere}{addContour} +\usesdollar{compWhere}{insideExpressionIfTrue} +\usesdollar{compWhere}{insideWhereIfTrue} +\usesdollar{compWhere}{EmptyMode} +\begin{chunk}{defun compWhere} +(defun |compWhere| (form mode eInit) + (let (|$insideExpressionIfTrue| |$insideWhereIfTrue| newform exprList e + eBefore tmp1 x eAfter del eFinal) + (declare (special |$insideExpressionIfTrue| |$insideWhereIfTrue| + |$EmptyMode|)) + (setq newform (second form)) + (setq exprlist (cddr form)) + (setq |$insideExpressionIfTrue| nil) + (setq |$insideWhereIfTrue| t) + (setq e eInit) + (when (dolist (item exprList t) + (setq tmp1 (|comp| item |$EmptyMode| e)) + (unless tmp1 (return nil)) + (setq e (third tmp1))) + (setq |$insideWhereIfTrue| nil) + (setq tmp1 (|comp| (|macroExpand| newform (setq eBefore e)) mode e)) + (when tmp1 + (setq x (first tmp1)) + (setq mode (second tmp1)) + (setq eAfter (third tmp1)) + (setq del (|deltaContour| eAfter eBefore)) + (if del + (setq eFinal (|addContour| del eInit)) + (setq eFinal eInit)) + (list x mode eFinal))))) \end{chunk} -\defun{PARSE-SpecialCommand}{PARSE-SpecialCommand} -\calls{PARSE-SpecialCommand}{match-advance-string} -\calls{PARSE-SpecialCommand}{bang} -\calls{PARSE-SpecialCommand}{optional} -\calls{PARSE-SpecialCommand}{PARSE-Expression} -\calls{PARSE-SpecialCommand}{push-reduction} -\calls{PARSE-SpecialCommand}{PARSE-SpecialCommand} -\calls{PARSE-SpecialCommand}{pop-stack-1} -\calls{PARSE-SpecialCommand}{PARSE-CommandTail} -\calls{PARSE-SpecialCommand}{must} -\calls{PARSE-SpecialCommand}{current-symbol} -\calls{PARSE-SpecialCommand}{action} -\calls{PARSE-SpecialCommand}{PARSE-TokenList} -\calls{PARSE-SpecialCommand}{PARSE-TokenCommandTail} -\calls{PARSE-SpecialCommand}{star} -\calls{PARSE-SpecialCommand}{PARSE-PrimaryOrQM} -\calls{PARSE-SpecialCommand}{PARSE-CommandTail} -\usesdollar{PARSE-SpecialCommand}{noParseCommands} -\usesdollar{PARSE-SpecialCommand}{tokenCommands} -\begin{chunk}{defun PARSE-SpecialCommand} -(defun |PARSE-SpecialCommand| () - (declare (special $noParseCommands $tokenCommands)) - (or (and (match-advance-string "show") - (bang fil_test - (optional - (or (match-advance-string "?") - (|PARSE-Expression|)))) - (push-reduction '|PARSE-SpecialCommand| - (list '|show| (pop-stack-1))) - (must (|PARSE-CommandTail|))) - (and (member (current-symbol) |$noParseCommands|) - (action (funcall (current-symbol)))) - (and (member (current-symbol) |$tokenCommands|) - (|PARSE-TokenList|) (must (|PARSE-TokenCommandTail|))) - (and (star repeator (|PARSE-PrimaryOrQM|)) - (must (|PARSE-CommandTail|))))) +\section{Functions for coercion} +\defun{coerce}{coerce} +The function coerce is used by the old compiler for coercions. +The function coerceInteractive is used by the interpreter. +One should always call the correct function, since the representation +of basic objects may not be the same. +\calls{coerce}{keyedSystemError} +\calls{coerce}{rplac} +\calls{coerce}{msubst} +\calls{coerce}{coerceEasy} +\calls{coerce}{coerceSubset} +\calls{coerce}{coerceHard} +\calls{coerce}{isSomeDomainVariable} +\calls{coerce}{stackMessage} +\refsdollar{coerce}{InteractiveMode} +\refsdollar{coerce}{Rep} +\refsdollar{coerce}{fromCoerceable} +\begin{chunk}{defun coerce} +(defun |coerce| (tt mode) + (labels ( + (fn (x m1 m2) + (list '|Cannot coerce| '|%b| x '|%d| '|%l| '| of mode| '|%b| m1 + '|%d| '|%l| '| to mode| '|%b| m2 '|%d|))) + (let (tp) + (declare (special |$fromCoerceable$| |$Rep| |$InteractiveMode|)) + (if |$InteractiveMode| + (|keyedSystemError| 'S2GE0016 + (list "coerce" "function coerce called from the interpreter.")) + (progn + (|rplac| (cadr tt) (msubst '$ |$Rep| (cadr tt))) + (cond + ((setq tp (|coerceEasy| tt mode)) tp) + ((setq tp (|coerceSubset| tt mode)) tp) + ((setq tp (|coerceHard| tt mode)) tp) + ((or (eq (car tt) '|$fromCoerceable$|) (|isSomeDomainVariable| mode)) nil) + (t (|stackMessage| (fn (first tt) (second tt) mode))))))))) \end{chunk} -\defun{PARSE-TokenCommandTail}{PARSE-TokenCommandTail} -\calls{PARSE-TokenCommandTail}{bang} -\calls{PARSE-TokenCommandTail}{optional} -\calls{PARSE-TokenCommandTail}{star} -\calls{PARSE-TokenCommandTail}{PARSE-TokenOption} -\calls{PARSE-TokenCommandTail}{atEndOfLine} -\calls{PARSE-TokenCommandTail}{push-reduction} -\calls{PARSE-TokenCommandTail}{PARSE-TokenCommandTail} -\calls{PARSE-TokenCommandTail}{pop-stack-2} -\calls{PARSE-TokenCommandTail}{pop-stack-1} -\calls{PARSE-TokenCommandTail}{action} -\seebook{PARSE-TokenCommandTail}{systemCommand}{5} -\begin{chunk}{defun PARSE-TokenCommandTail} -(defun |PARSE-TokenCommandTail| () - (and (bang fil_test (optional (star repeator (|PARSE-TokenOption|)))) - (|atEndOfLine|) - (push-reduction '|PARSE-TokenCommandTail| - (cons (pop-stack-2) (append (pop-stack-1) nil))) - (action (|systemCommand| (pop-stack-1))))) +\defun{coerceEasy}{coerceEasy} +\calls{coerceEasy}{modeEqualSubst} +\refsdollar{coerceEasy}{EmptyMode} +\refsdollar{coerceEasy}{Exit} +\refsdollar{coerceEasy}{NoValueMode} +\refsdollar{coerceEasy}{Void} +\begin{chunk}{defun coerceEasy} +(defun |coerceEasy| (tt m) + (declare (special |$EmptyMode| |$Exit| |$NoValueMode| |$Void|)) + (cond + ((equal m |$EmptyMode|) tt) + ((or (equal m |$NoValueMode|) (equal m |$Void|)) + (list (car tt) m (third tt))) + ((equal (second tt) m) tt) + ((equal (second tt) |$NoValueMode|) tt) + ((equal (second tt) |$Exit|) + (list + (list 'progn (car tt) (list '|userError| "Did not really exit.")) + m (third tt))) + ((or (equal (second tt) |$EmptyMode|) + (|modeEqualSubst| (second tt) m (third tt))) + (list (car tt) m (third tt))))) \end{chunk} +\defun{coerceSubset}{coerceSubset} +\calls{coerceSubset}{isSubset} +\calls{coerceSubset}{lassoc} +\calls{coerceSubset}{get} +\calls{coerceSubset}{opOf} +\calls{coerceSubset}{eval} +\calls{coerceSubset}{msubst} +\calls{coerceSubset}{isSubset} +\calls{coerceSubset}{maxSuperType} +\begin{chunk}{defun coerceSubset} +(defun |coerceSubset| (arg1 mp) + (let (x m env pred) + (setq x (first arg1)) + (setq m (second arg1)) + (setq env (third arg1)) + (cond + ((or (|isSubset| m mp env) (and (eq m '|Rep|) (eq mp '$))) + (list x mp env)) + ((and (consp m) (eq (qfirst m) '|SubDomain|) + (consp (qrest m)) (equal (qsecond m) mp)) + (list x mp env)) + ((and (setq pred (lassoc (|opOf| mp) (|get| (|opOf| m) '|SubDomain| env))) + (integerp x) (|eval| (msubst x '|#1| pred))) + (list x mp env)) + ((and (setq pred (|isSubset| mp (|maxSuperType| m env) env)) + (integerp x) (|eval| (msubst x '* pred))) + (list x mp env)) + (t nil)))) -\defun{PARSE-TokenOption}{PARSE-TokenOption} -\calls{PARSE-TokenOption}{match-advance-string} -\calls{PARSE-TokenOption}{must} -\calls{PARSE-TokenOption}{PARSE-TokenList} -\begin{chunk}{defun PARSE-TokenOption} -(defun |PARSE-TokenOption| () - (and (match-advance-string ")") (must (|PARSE-TokenList|)))) +\end{chunk} + +\defun{coerceHard}{coerceHard} +\calls{coerceHard}{modeEqual} +\calls{coerceHard}{get} +\calls{coerceHard}{getmode} +\calls{coerceHard}{isCategoryForm} +\calls{coerceHard}{extendsCategoryForm} +\calls{coerceHard}{coerceExtraHard} +\defsdollar{coerceHard}{e} +\refsdollar{coerceHard}{e} +\refsdollar{coerceHard}{String} +\refsdollar{coerceHard}{bootStrapMode} +\begin{chunk}{defun coerceHard} +(defun |coerceHard| (tt m) + (let (|$e| mp tmp1 mpp) + (declare (special |$e| |$String| |$bootStrapMode|)) + (setq |$e| (third tt)) + (setq mp (second tt)) + (cond + ((and (stringp mp) (|modeEqual| m |$String|)) + (list (car tt) m |$e|)) + ((or (|modeEqual| mp m) + (and (or (progn + (setq tmp1 (|get| mp '|value| |$e|)) + (and (consp tmp1) + (progn (setq mpp (qfirst tmp1)) t))) + (progn + (setq tmp1 (|getmode| mp |$e|)) + (and (consp tmp1) + (eq (qfirst tmp1) '|Mapping|) + (and (consp (qrest tmp1)) + (eq (qcddr tmp1) nil) + (progn (setq mpp (qsecond tmp1)) t))))) + (|modeEqual| mpp m)) + (and (or (progn + (setq tmp1 (|get| m '|value| |$e|)) + (and (consp tmp1) + (progn (setq mpp (qfirst tmp1)) t))) + (progn + (setq tmp1 (|getmode| m |$e|)) + (and (consp tmp1) + (eq (qfirst tmp1) '|Mapping|) + (and (consp (qrest tmp1)) + (eq (qcddr tmp1) nil) + (progn (setq mpp (qsecond tmp1)) t))))) + (|modeEqual| mpp mp))) + (list (car tt) m (third tt))) + ((and (stringp (car tt)) (equal (car tt) m)) + (list (car tt) m |$e|)) + ((|isCategoryForm| m |$e|) + (cond + ((eq |$bootStrapMode| t) + (list (car tt) m |$e|)) + ((|extendsCategoryForm| (car tt) (cadr tt) m) + (list (car tt) m |$e|)) + (t (|coerceExtraHard| tt m)))) + (t (|coerceExtraHard| tt m))))) \end{chunk} -\defun{PARSE-TokenList}{PARSE-TokenList} -\calls{PARSE-TokenList}{star} -\calls{PARSE-TokenList}{isTokenDelimiter} -\calls{PARSE-TokenList}{push-reduction} -\calls{PARSE-TokenList}{current-symbol} -\calls{PARSE-TokenList}{action} -\calls{PARSE-TokenList}{advance-token} -\begin{chunk}{defun PARSE-TokenList} -(defun |PARSE-TokenList| () - (star repeator - (and (not (|isTokenDelimiter|)) - (push-reduction '|PARSE-TokenList| (current-symbol)) - (action (advance-token))))) +\defun{coerceExtraHard}{coerceExtraHard} +\calls{coerceExtraHard}{autoCoerceByModemap} +\calls{coerceExtraHard}{isUnionMode} +\calls{coerceExtraHard}{qcar} +\calls{coerceExtraHard}{qcdr} +\calls{coerceExtraHard}{hasType} +\calls{coerceExtraHard}{member} +\calls{coerceExtraHard}{autoCoerceByModemap} +\calls{coerceExtraHard}{coerce} +\refsdollar{coerceExtraHard}{Expression} +\begin{chunk}{defun coerceExtraHard} +(defun |coerceExtraHard| (tt m) + (let (x mp e tmp1 z ta tp tpp) + (declare (special |$Expression|)) + (setq x (first tt)) + (setq mp (second tt)) + (setq e (third tt)) + (cond + ((setq tp (|autoCoerceByModemap| tt m)) tp) + ((and (progn + (setq tmp1 (|isUnionMode| mp e)) + (and (consp tmp1) (eq (qfirst tmp1) '|Union|) + (progn + (setq z (qrest tmp1)) t))) + (setq ta (|hasType| x e)) + (|member| ta z) + (setq tp (|autoCoerceByModemap| tt ta)) + (setq tpp (|coerce| tp m))) + tpp) + ((and (consp mp) (eq (qfirst mp) '|Record|) (equal m |$Expression|)) + (list (list '|coerceRe2E| x (list 'elt (copy mp) 0)) m e)) + (t nil)))) \end{chunk} -\defun{PARSE-CommandTail}{PARSE-CommandTail} -\calls{PARSE-CommandTail}{bang} -\calls{PARSE-CommandTail}{optional} -\calls{PARSE-CommandTail}{star} -\calls{PARSE-CommandTail}{push-reduction} -\calls{PARSE-CommandTail}{PARSE-Option} -\calls{PARSE-CommandTail}{PARSE-CommandTail} -\calls{PARSE-CommandTail}{pop-stack-2} -\calls{PARSE-CommandTail}{pop-stack-1} -\calls{PARSE-CommandTail}{action} -\seebook{PARSE-CommandTail}{systemCommand}{5} -\begin{chunk}{defun PARSE-CommandTail} -(defun |PARSE-CommandTail| () - (and (bang fil_test (optional (star repeator (|PARSE-Option|)))) - (|atEndOfLine|) - (push-reduction '|PARSE-CommandTail| - (cons (pop-stack-2) (append (pop-stack-1) nil))) - (action (|systemCommand| (pop-stack-1))))) +\defun{hasType}{hasType} +\calls{hasType}{get} +\begin{chunk}{defun hasType} +(defun |hasType| (x e) + (labels ( + (fn (x) + (cond + ((null x) nil) + ((and (consp x) (consp (qfirst x)) (eq (qcaar x) '|case|) + (consp (qcdar x)) (consp (qcddar x)) + (eq (qcdddar x) nil)) + (qcaddar x)) + (t (fn (cdr x)))))) + (fn (|get| x '|condition| e)))) \end{chunk} -\defun{PARSE-PrimaryOrQM}{PARSE-PrimaryOrQM} -\calls{PARSE-PrimaryOrQM}{match-advance-string} -\calls{PARSE-PrimaryOrQM}{push-reduction} -\calls{PARSE-PrimaryOrQM}{PARSE-PrimaryOrQM} -\calls{PARSE-PrimaryOrQM}{PARSE-Primary} -\begin{chunk}{defun PARSE-PrimaryOrQM} -(defun |PARSE-PrimaryOrQM| () - (or (and (match-advance-string "?") - (push-reduction '|PARSE-PrimaryOrQM| '?)) - (|PARSE-Primary|))) +\defun{coerceable}{coerceable} +\calls{coerceable}{pmatch} +\calls{coerceable}{sublis} +\calls{coerceable}{coerce} +\refsdollar{coerceable}{fromCoerceable} +\begin{chunk}{defun coerceable} +(defun |coerceable| (m mp env) + (let (sl) + (declare (special |$fromCoerceable$|)) + (cond + ((equal m mp) m) + ((setq sl (|pmatch| mp m)) (sublis sl mp)) + ((|coerce| (list '|$fromCoerceable$| m env) mp) mp) + (t nil)))) \end{chunk} -\defun{PARSE-Option}{PARSE-Option} -\calls{PARSE-Option}{match-advance-string} -\calls{PARSE-Option}{must} -\calls{PARSE-Option}{star} -\calls{PARSE-Option}{PARSE-PrimaryOrQM} -\begin{chunk}{defun PARSE-Option} -(defun |PARSE-Option| () - (and (match-advance-string ")") - (must (star repeator (|PARSE-PrimaryOrQM|))))) +\defun{coerceExit}{coerceExit} +\calls{coerceExit}{resolve} +\calls{coerceExit}{replaceExitEsc} +\calls{coerceExit}{coerce} +\refsdollar{coerceExit}{exitMode} +\begin{chunk}{defun coerceExit} +(defun |coerceExit| (arg1 mp) + (let (x m e catchTag xp) + (declare (special |$exitMode|)) + (setq x (first arg1)) + (setq m (second arg1)) + (setq e (third arg1)) + (setq mp (|resolve| m mp)) + (setq xp + (|replaceExitEtc| x + (setq catchTag (mkq (gensym))) '|TAGGEDexit| |$exitMode|)) + (|coerce| (list (list 'catch catchTag xp) m e) mp))) \end{chunk} -\defun{PARSE-Statement}{PARSE-Statement} -\calls{PARSE-Statement}{PARSE-Expr} -\calls{PARSE-Statement}{optional} -\calls{PARSE-Statement}{star} -\calls{PARSE-Statement}{match-advance-string} -\calls{PARSE-Statement}{must} -\calls{PARSE-Statement}{push-reduction} -\calls{PARSE-Statement}{pop-stack-2} -\calls{PARSE-Statement}{pop-stack-1} -\begin{chunk}{defun PARSE-Statement} -(defun |PARSE-Statement| () - (and (|PARSE-Expr| 0) - (optional - (and (star repeator - (and (match-advance-string ",") - (must (|PARSE-Expr| 0)))) - (push-reduction '|PARSE-Statement| - (cons '|Series| - (cons (pop-stack-2) - (append (pop-stack-1) nil)))))))) +\defplist{@}{compAtSign plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|@| 'special) 'compAtSign)) \end{chunk} -\defun{PARSE-InfixWith}{PARSE-InfixWith} -\calls{PARSE-InfixWith}{PARSE-With} -\calls{PARSE-InfixWith}{push-reduction} -\calls{PARSE-InfixWith}{pop-stack-2} -\calls{PARSE-InfixWith}{pop-stack-1} -\begin{chunk}{defun PARSE-InfixWith} -(defun |PARSE-InfixWith| () - (and (|PARSE-With|) - (push-reduction '|PARSE-InfixWith| - (list '|Join| (pop-stack-2) (pop-stack-1))))) +\defun{compAtSign}{compAtSign} +\calls{compAtSign}{addDomain} +\calls{compAtSign}{comp} +\calls{compAtSign}{coerce} +\begin{chunk}{defun compAtSign} +(defun compAtSign (form mode env) + (let ((newform (second form)) (mprime (third form)) tmp) + (setq env (|addDomain| mprime env)) + (when (setq tmp (|comp| newform mprime env)) (|coerce| tmp mode)))) \end{chunk} -\defun{PARSE-With}{PARSE-With} -\calls{PARSE-With}{match-advance-string} -\calls{PARSE-With}{must} -\calls{PARSE-With}{push-reduction} -\calls{PARSE-With}{pop-stack-1} -\begin{chunk}{defun PARSE-With} -(defun |PARSE-With| () - (and (match-advance-string "with") (must (|PARSE-Category|)) - (push-reduction '|PARSE-With| - (cons '|with| (cons (pop-stack-1) nil))))) +\defplist{::}{compCoerce plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|::| 'special) '|compCoerce|)) \end{chunk} -\defun{PARSE-Category}{PARSE-Category} -\calls{PARSE-Category}{match-advance-string} -\calls{PARSE-Category}{must} -\calls{PARSE-Category}{bang} -\calls{PARSE-Category}{optional} -\calls{PARSE-Category}{push-reduction} -\calls{PARSE-Category}{PARSE-Expression} -\calls{PARSE-Category}{PARSE-Category} -\calls{PARSE-Category}{pop-stack-3} -\calls{PARSE-Category}{pop-stack-2} -\calls{PARSE-Category}{pop-stack-1} -\calls{PARSE-Category}{star} -\calls{PARSE-Category}{line-number} -\calls{PARSE-Category}{PARSE-Application} -\calls{PARSE-Category}{action} -\calls{PARSE-Category}{recordSignatureDocumentation} -\calls{PARSE-Category}{nth-stack} -\calls{PARSE-Category}{recordAttributeDocumentation} -\uses{PARSE-Category}{current-line} -\begin{chunk}{defun PARSE-Category} -(defun |PARSE-Category| () - (let (g1) - (or (and (match-advance-string "if") (must (|PARSE-Expression|)) - (must (match-advance-string "then")) - (must (|PARSE-Category|)) - (bang fil_test - (optional - (and (match-advance-string "else") - (must (|PARSE-Category|))))) - (push-reduction '|PARSE-Category| - (list '|if| (pop-stack-3) (pop-stack-2) (pop-stack-1)))) - (and (match-advance-string "(") (must (|PARSE-Category|)) - (bang fil_test - (optional - (star repeator - (and (match-advance-string ";") - (must (|PARSE-Category|)))))) - (must (match-advance-string ")")) - (push-reduction '|PARSE-Category| - (cons 'category - (cons (pop-stack-2) - (append (pop-stack-1) nil))))) - (and (action (setq g1 (line-number current-line))) - (|PARSE-Application|) - (must (or (and (match-advance-string ":") - (must (|PARSE-Expression|)) - (push-reduction '|PARSE-Category| - (list '|Signature| (pop-stack-2) (pop-stack-1) )) - (action (|recordSignatureDocumentation| - (nth-stack 1) g1))) - (and (push-reduction '|PARSE-Category| - (list '|Attribute| (pop-stack-1) )) - (action (|recordAttributeDocumentation| - (nth-stack 1) g1))))))))) - -\end{chunk} - -\defun{PARSE-Expression}{PARSE-Expression} -\calls{PARSE-Expression}{PARSE-Expr} -\calls{PARSE-Expression}{PARSE-rightBindingPowerOf} -\calls{PARSE-Expression}{make-symbol-of} -\calls{PARSE-Expression}{push-reduction} -\calls{PARSE-Expression}{pop-stack-1} -\uses{PARSE-Expression}{ParseMode} -\uses{PARSE-Expression}{prior-token} -\begin{chunk}{defun PARSE-Expression} -(defun |PARSE-Expression| () - (declare (special prior-token)) - (and (|PARSE-Expr| - (|PARSE-rightBindingPowerOf| (make-symbol-of prior-token) - |ParseMode|)) - (push-reduction '|PARSE-Expression| (pop-stack-1)))) - -\end{chunk} - -\defun{PARSE-Import}{PARSE-Import} -\calls{PARSE-Import}{match-advance-string} -\calls{PARSE-Import}{must} -\calls{PARSE-Import}{PARSE-Expr} -\calls{PARSE-Import}{bang} -\calls{PARSE-Import}{optional} -\calls{PARSE-Import}{star} -\calls{PARSE-Import}{push-reduction} -\calls{PARSE-Import}{pop-stack-2} -\calls{PARSE-Import}{pop-stack-1} -\begin{chunk}{defun PARSE-Import} -(defun |PARSE-Import| () - (and (match-advance-string "import") (must (|PARSE-Expr| 1000)) - (bang fil_test - (optional - (star repeator - (and (match-advance-string ",") - (must (|PARSE-Expr| 1000)))))) - (push-reduction '|PARSE-Import| - (cons '|import| - (cons (pop-stack-2) (append (pop-stack-1) nil)))))) +\defun{compCoerce}{compCoerce} +\calls{compCoerce}{addDomain} +\calls{compCoerce}{getmode} +\calls{compCoerce}{compCoerce1} +\calls{compCoerce}{coerce} +\begin{chunk}{defun compCoerce} +(defun |compCoerce| (form mode env) + (let (newform newmode tmp1 tmp4 z td) + (setq newform (second form)) + (setq newmode (third form)) + (setq env (|addDomain| newmode env)) + (setq tmp1 (|getmode| newmode env)) + (cond + ((setq td (|compCoerce1| newform newmode env)) + (|coerce| td mode)) + ((and (consp tmp1) (eq (qfirst tmp1) '|Mapping|) + (consp (qrest tmp1)) (eq (qcddr tmp1) nil) + (consp (qsecond tmp1)) + (eq (qcaadr tmp1) '|UnionCategory|)) + (setq z (qcdadr tmp1)) + (when + (setq td + (dolist (mode1 z tmp4) + (setq tmp4 (or tmp4 (|compCoerce1| newform mode1 env))))) + (|coerce| (list (car td) newmode (third td)) mode)))))) \end{chunk} -\defun{PARSE-Expr}{PARSE-Expr} -\calls{PARSE-Expr}{PARSE-NudPart} -\calls{PARSE-Expr}{PARSE-LedPart} -\calls{PARSE-Expr}{optional} -\calls{PARSE-Expr}{star} -\calls{PARSE-Expr}{push-reduction} -\calls{PARSE-Expr}{pop-stack-1} -\begin{chunk}{defun PARSE-Expr} -(defun |PARSE-Expr| (rbp) - (declare (special rbp)) - (and (|PARSE-NudPart| rbp) - (optional (star opt_expr (|PARSE-LedPart| rbp))) - (push-reduction '|PARSE-Expr| (pop-stack-1)))) +\defun{compCoerce1}{compCoerce1} +\calls{compCoerce1}{comp} +\calls{compCoerce1}{resolve} +\calls{compCoerce1}{coerce} +\calls{compCoerce1}{coerceByModemap} +\calls{compCoerce1}{msubst} +\calls{compCoerce1}{mkq} +\begin{chunk}{defun compCoerce1} +(defun |compCoerce1| (form mode env) + (let (m1 td tp gg pred code) + (declare (special |$String| |$EmptyMode|)) + (when (setq td (or (|comp| form mode env) (|comp| form |$EmptyMode| env))) + (setq m1 (if (stringp (second td)) |$String| (second td))) + (setq mode (|resolve| m1 mode)) + (setq td (list (car td) m1 (third td))) + (cond + ((setq tp (|coerce| td mode)) tp) + ((setq tp (|coerceByModemap| td mode)) tp) + ((setq pred (|isSubset| mode (second td) env)) + (setq gg (gensym)) + (setq pred (msubst gg '* pred)) + (setq code + (list 'prog1 + (list 'let gg (first td)) + (cons '|check-subtype| (cons pred (list (mkq mode) gg))))) + (list code mode (third td))))))) \end{chunk} -\defun{PARSE-LedPart}{PARSE-LedPart} -\calls{PARSE-LedPart}{PARSE-Operation} -\calls{PARSE-LedPart}{push-reduction} -\calls{PARSE-LedPart}{pop-stack-1} -\begin{chunk}{defun PARSE-LedPart} -(defun |PARSE-LedPart| (rbp) - (declare (special rbp)) - (and (|PARSE-Operation| '|Led| rbp) - (push-reduction '|PARSE-LedPart| (pop-stack-1)))) +\defun{coerceByModemap}{coerceByModemap} +\calls{coerceByModemap}{qcar} +\calls{coerceByModemap}{qcdr} +\calls{coerceByModemap}{modeEqual} +\calls{coerceByModemap}{isSubset} +\calls{coerceByModemap}{genDeltaEntry} +\begin{chunk}{defun coerceByModemap} +(defun |coerceByModemap| (arg1 mp) + (let (x m env map cexpr u mm fn) + (setq x (first arg1)) + (setq m (second arg1)) + (setq env (third arg1)) + (setq u + (loop for modemap in (|getModemapList| '|coerce| 1 env) + do + (setq map (first modemap)) + (setq cexpr (second modemap)) + when + (and (consp map) (consp (qrest map)) + (consp (qcddr map)) + (eq (qcdddr map) nil) + (or (|modeEqual| (second map) mp) (|isSubset| (second map) mp env)) + (or (|modeEqual| (third map) m) (|isSubset| m (third map) env))) + collect modemap)) + (when u + (setq mm (first u)) + (setq fn (|genDeltaEntry| (cons '|coerce| mm))) + (list (list '|call| fn x) mp env)))) + +\end{chunk} + +\defun{autoCoerceByModemap}{autoCoerceByModemap} +\calls{autoCoerceByModemap}{qcar} +\calls{autoCoerceByModemap}{qcdr} +\calls{autoCoerceByModemap}{getModemapList} +\calls{autoCoerceByModemap}{modeEqual} +\calls{autoCoerceByModemap}{member} +\calls{autoCoerceByModemap}{get} +\calls{autoCoerceByModemap}{stackMessage} +\refsdollar{autoCoerceByModemap}{fromCoerceable} +\begin{chunk}{defun autoCoerceByModemap} +(defun |autoCoerceByModemap| (arg1 target) + (let (x source e map cexpr u fn y) + (declare (special |$fromCoerceable$|)) + (setq x (first arg1)) + (setq source (second arg1)) + (setq e (third arg1)) + (setq u + (loop for modemap in (|getModemapList| '|autoCoerce| 1 e) + do + (setq map (first modemap)) + (setq cexpr (second modemap)) + when + (and (consp map) (consp (qrest map)) (consp (qcddr map)) + (eq (qcdddr map) nil) + (|modeEqual| (second map) target) + (|modeEqual| (third map) source)) + collect cexpr)) + (when u + (setq fn + (let (result) + (loop for item in u + do + (when (first item) (setq result (or result (second item))))) + result)) + (when fn + (cond + ((and (consp source) (eq (qfirst source) '|Union|) + (|member| target (qrest source))) + (cond + ((and (setq y (|get| x '|condition| e)) + (let (result) + (loop for u in y do + (setq result + (or result + (and (consp u) (eq (qfirst u) '|case|) (consp (qrest u)) + (consp (qcddr u)) + (eq (qcdddr u) nil) + (equal (qthird u) target))))) + result)) + (list (list '|call| fn x) target e)) + ((eq x '|$fromCoerceable$|) nil) + (t + (|stackMessage| + (list '|cannot coerce: | x '|%l| '| of mode: | source + '|%l| '| to: | target '| without a case statement|))))) + (t + (list (list '|call| fn x) target e))))))) \end{chunk} -\defun{PARSE-NudPart}{PARSE-NudPart} -\calls{PARSE-NudPart}{PARSE-Operation} -\calls{PARSE-NudPart}{PARSE-Reduction} -\calls{PARSE-NudPart}{PARSE-Form} -\calls{PARSE-NudPart}{push-reduction} -\calls{PARSE-NudPart}{pop-stack-1} -\uses{PARSE-NudPart}{rbp} -\begin{chunk}{defun PARSE-NudPart} -(defun |PARSE-NudPart| (rbp) - (declare (special rbp)) - (and (or (|PARSE-Operation| '|Nud| rbp) (|PARSE-Reduction|) - (|PARSE-Form|)) - (push-reduction '|PARSE-NudPart| (pop-stack-1)))) +\defun{resolve}{resolve} +\calls{resolve}{nequal} +\calls{resolve}{modeEqual} +\calls{resolve}{mkUnion} +\refsdollar{resolve}{String} +\refsdollar{resolve}{EmptyMode} +\refsdollar{resolve}{NoValueMode} +\begin{chunk}{defun resolve} +(defun |resolve| (din dout) + (declare (special |$String| |$EmptyMode| |$NoValueMode|)) + (cond + ((or (equal din |$NoValueMode|) (equal dout |$NoValueMode|)) |$NoValueMode|) + ((equal dout |$EmptyMode|) din) + ((and (nequal din dout) (or (stringp din) (stringp dout))) + (cond + ((|modeEqual| dout |$String|) dout) + ((|modeEqual| din |$String|) nil) + (t (|mkUnion| din dout)))) + (t dout))) \end{chunk} -\defun{PARSE-Operation}{PARSE-Operation} -\calls{PARSE-Operation}{match-current-token} -\calls{PARSE-Operation}{current-symbol} -\calls{PARSE-Operation}{PARSE-leftBindingPowerOf} -\calls{PARSE-Operation}{lt} -\calls{PARSE-Operation}{getl} -\calls{PARSE-Operation}{action} -\calls{PARSE-Operation}{PARSE-rightBindingPowerOf} -\calls{PARSE-Operation}{PARSE-getSemanticForm} -\calls{PARSE-Operation}{elemn} -\uses{PARSE-Operation}{ParseMode} -\uses{PARSE-Operation}{rbp} -\uses{PARSE-Operation}{tmptok} -\begin{chunk}{defun PARSE-Operation} -(defun |PARSE-Operation| (|ParseMode| rbp) - (declare (special |ParseMode| rbp |tmptok|)) - (and (not (match-current-token 'identifier)) - (getl (setq |tmptok| (current-symbol)) |ParseMode|) - (lt rbp (|PARSE-leftBindingPowerOf| |tmptok| |ParseMode|)) - (action (setq rbp (|PARSE-rightBindingPowerOf| |tmptok| |ParseMode|))) - (|PARSE-getSemanticForm| |tmptok| |ParseMode| - (elemn (getl |tmptok| |ParseMode|) 5 nil)))) +\defun{mkUnion}{mkUnion} +\calls{mkUnion}{qcar} +\calls{mkUnion}{qcdr} +\calls{mkUnion}{union} +\refsdollar{mkUnion}{Rep} +\begin{chunk}{defun mkUnion} +(defun |mkUnion| (a b) + (declare (special |$Rep|)) + (cond + ((and (eq b '$) (consp |$Rep|) (eq (qfirst |$Rep|) '|Union|)) + (qrest |$Rep|)) + ((and (consp a) (eq (qfirst a) '|Union|)) + (cond + ((and (consp b) (eq (qfirst b) '|Union|)) + (cons '|Union| (|union| (qrest a) (qrest b)))) + (t (cons '|Union| (|union| (list b) (qrest a)))))) + ((and (consp b) (eq (qfirst b) '|Union|)) + (cons '|Union| (|union| (list a) (qrest b)))) + (t (list '|Union| a b)))) \end{chunk} -\defun{PARSE-leftBindingPowerOf}{PARSE-leftBindingPowerOf} -\calls{PARSE-leftBindingPowerOf}{getl} -\calls{PARSE-leftBindingPowerOf}{elemn} -\begin{chunk}{defun PARSE-leftBindingPowerOf} -(defun |PARSE-leftBindingPowerOf| (x ind) - (declare (special x ind)) - (let ((y (getl x ind))) (if y (elemn y 3 0) 0))) +\defun{modeEqual}{This orders Unions} +This orders Unions +\begin{chunk}{defun modeEqual} +(defun |modeEqual| (x y) + (let (xl yl) + (cond + ((or (atom x) (atom y)) (equal x y)) + ((nequal (|#| x) (|#| y)) nil) + ((and (consp x) (eq (qfirst x) '|Union|) (consp y) (eq (qfirst y) '|Union|)) + (setq xl (qrest x)) + (setq yl (qrest y)) + (loop for a in xl do + (loop for b in yl do + (when (|modeEqual| a b) + (setq xl (|delete| a xl)) + (setq yl (|delete| b yl)) + (return nil)))) + (unless (or xl yl) t)) + (t + (let ((result t)) + (loop for u in x for v in y + do (setq result (and result (|modeEqual| u v)))) + result))))) \end{chunk} -\defun{PARSE-rightBindingPowerOf}{PARSE-rightBindingPowerOf} -\calls{PARSE-rightBindingPowerOf}{getl} -\calls{PARSE-rightBindingPowerOf}{elemn} -\begin{chunk}{defun PARSE-rightBindingPowerOf} -(defun |PARSE-rightBindingPowerOf| (x ind) - (declare (special x ind)) - (let ((y (getl x ind))) (if y (elemn y 4 105) 105))) +\defun{modeEqualSubst}{modeEqualSubst} +\calls{modeEqualSubst}{modeEqual} +\calls{modeEqualSubst}{modeEqualSubst} +\calls{modeEqualSubst}{length} +\begin{chunk}{defun modeEqualSubst} +(defun |modeEqualSubst| (m1 m env) + (let (mp op z1 z2) + (cond + ((|modeEqual| m1 m) t) + ((atom m1) + (when (setq mp (car (|get| m1 '|value| env))) + (|modeEqual| mp m))) + ((and (consp m1) (consp m) (equal (qfirst m) (qfirst m1)) + (equal (|#| (qrest m1)) (|#| (qrest m)))) + (setq op (qfirst m1)) + (setq z1 (qrest m1)) + (setq z2 (qrest m)) + (let ((result t)) + (loop for xm1 in z1 for xm2 in z2 + do (setq result (and result (|modeEqualSubst| xm1 xm2 env)))) + result)) + (t nil)))) \end{chunk} -\defun{PARSE-getSemanticForm}{PARSE-getSemanticForm} -\calls{PARSE-getSemanticForm}{PARSE-Prefix} -\calls{PARSE-getSemanticForm}{PARSE-Infix} -\begin{chunk}{defun PARSE-getSemanticForm} -(defun |PARSE-getSemanticForm| (x ind y) - (declare (special x ind y)) - (or (and y (eval y)) (and (eq ind '|Nud|) (|PARSE-Prefix|)) - (and (eq ind '|Led|) (|PARSE-Infix|)))) +\subsection{compilerDoitWithScreenedLisplib}{compilerDoitWithScreenedLisplib} +\calls{compilerDoitWithScreenedLisplib}{embed} +\calls{compilerDoitWithScreenedLisplib}{rwrite} +\calls{compilerDoitWithScreenedLisplib}{compilerDoit} +\calls{compilerDoitWithScreenedLisplib}{unembed} +\refsdollar{compilerDoitWithScreenedLisplib}{saveableItems} +\refsdollar{compilerDoitWithScreenedLisplib}{libFile} +\begin{chunk}{defun compilerDoitWithScreenedLisplib} +(defun |compilerDoitWithScreenedLisplib| (constructor fun) + (declare (special |$saveableItems| |$libFile|)) + (embed 'rwrite + '(lambda (key value stream) + (cond + ((and (eq stream |$libFile|) + (not (member key |$saveableItems|))) + value) + ((not nil) (rwrite key value stream))))) + (unwind-protect + (|compilerDoit| constructor fun) + (unembed 'rwrite))) \end{chunk} -\defun{PARSE-Prefix}{PARSE-Prefix} -\calls{PARSE-Prefix}{push-reduction} -\calls{PARSE-Prefix}{current-symbol} -\calls{PARSE-Prefix}{action} -\calls{PARSE-Prefix}{advance-token} -\calls{PARSE-Prefix}{optional} -\calls{PARSE-Prefix}{PARSE-TokTail} -\calls{PARSE-Prefix}{must} -\calls{PARSE-Prefix}{PARSE-Expression} -\calls{PARSE-Prefix}{push-reduction} -\calls{PARSE-Prefix}{pop-stack-2} -\calls{PARSE-Prefix}{pop-stack-1} -\begin{chunk}{defun PARSE-Prefix} -(defun |PARSE-Prefix| () - (and (push-reduction '|PARSE-Prefix| (current-symbol)) - (action (advance-token)) (optional (|PARSE-TokTail|)) - (must (|PARSE-Expression|)) - (push-reduction '|PARSE-Prefix| - (list (pop-stack-2) (pop-stack-1))))) +\chapter{Post Transformers} +\section{Direct called postparse routines} +\defun{postTransform}{postTransform} +\calls{postTransform}{postTran} +\seebook{postTransform}{identp}{5} +\calls{postTransform}{postTransformCheck} +\calls{postTransform}{aplTran} +\begin{chunk}{defun postTransform} +(defun |postTransform| (y) + (let (x tmp1 tmp2 tmp3 tmp4 tmp5 tt l u) + (setq x y) + (setq u (|postTran| x)) + (when + (and (consp u) (eq (qfirst u) '|@Tuple|) + (progn + (setq tmp1 (qrest u)) + (and (consp tmp1) + (progn (setq tmp2 (reverse tmp1)) t) + (consp tmp2) + (progn + (setq tmp3 (qfirst tmp2)) + (and (consp tmp3) + (eq (qfirst tmp3) '|:|) + (progn + (setq tmp4 (qrest tmp3)) + (and (consp tmp4) + (progn + (setq y (qfirst tmp4)) + (setq tmp5 (qrest tmp4)) + (and (consp tmp5) + (eq (qrest tmp5) nil) + (progn (setq tt (qfirst tmp5)) t))))))) + (progn (setq l (qrest tmp2)) t) + (progn (setq l (nreverse l)) t))) + (dolist (x l t) (unless (identp x) (return nil)))) + (setq u (list '|:| (cons 'listof (append l (list y))) tt))) + (|postTransformCheck| u) + (|aplTran| u))) \end{chunk} -\defun{PARSE-Infix}{PARSE-Infix} -\calls{PARSE-Infix}{push-reduction} -\calls{PARSE-Infix}{current-symbol} -\calls{PARSE-Infix}{action} -\calls{PARSE-Infix}{advance-token} -\calls{PARSE-Infix}{optional} -\calls{PARSE-Infix}{PARSE-TokTail} -\calls{PARSE-Infix}{must} -\calls{PARSE-Infix}{PARSE-Expression} -\calls{PARSE-Infix}{pop-stack-2} -\calls{PARSE-Infix}{pop-stack-1} -\begin{chunk}{defun PARSE-Infix} -(defun |PARSE-Infix| () - (and (push-reduction '|PARSE-Infix| (current-symbol)) - (action (advance-token)) (optional (|PARSE-TokTail|)) - (must (|PARSE-Expression|)) - (push-reduction '|PARSE-Infix| - (list (pop-stack-2) (pop-stack-2) (pop-stack-1) )))) - -\end{chunk} - -\defun{PARSE-TokTail}{PARSE-TokTail} -\calls{PARSE-TokTail}{current-symbol} -\calls{PARSE-TokTail}{current-char} -\calls{PARSE-TokTail}{char-eq} -\calls{PARSE-TokTail}{copy-token} -\calls{PARSE-TokTail}{action} -\calls{PARSE-TokTail}{PARSE-Qualification} -\usesdollar{PARSE-TokTail}{boot} -\begin{chunk}{defun PARSE-TokTail} -(defun |PARSE-TokTail| () - (let (g1) - (and (null $boot) (eq (current-symbol) '$) - (or (alpha-char-p (current-char)) - (char-eq (current-char) "$") - (char-eq (current-char) "%") - (char-eq (current-char) "(")) - (action (setq g1 (copy-token prior-token))) - (|PARSE-Qualification|) (action (setq prior-token g1))))) +\defun{postTran}{postTran} +\calls{postTran}{postAtom} +\calls{postTran}{postTran} +\calls{postTran}{qcar} +\calls{postTran}{qcdr} +\calls{postTran}{unTuple} +\calls{postTran}{postTranList} +\calls{postTran}{postForm} +\calls{postTran}{postOp} +\calls{postTran}{postScriptsForm} +\begin{chunk}{defun postTran} +(defun |postTran| (x) + (let (op f tmp1 a tmp2 tmp3 b y) + (if (atom x) + (|postAtom| x) + (progn + (setq op (car x)) + (cond + ((and (atom op) (setq f (getl op '|postTran|))) + (funcall f x)) + ((and (consp op) (eq (qfirst op) '|elt|) + (progn + (setq tmp1 (qrest op)) + (and (consp tmp1) + (progn + (setq a (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) + (progn (setq b (qfirst tmp2)) t)))))) + (cons (|postTran| op) (cdr (|postTran| (cons b (cdr x)))))) + ((and (consp op) (eq (qfirst op) '|Scripts|)) + (|postScriptsForm| op + (dolist (y (rest x) tmp3) + (setq tmp3 (append tmp3 (|unTuple| (|postTran| y))))))) + ((nequal op (setq y (|postOp| op))) + (cons y (|postTranList| (cdr x)))) + (t (|postForm| x))))))) \end{chunk} -\defun{PARSE-Qualification}{PARSE-Qualification} -\calls{PARSE-Qualification}{match-advance-string} -\calls{PARSE-Qualification}{must} -\calls{PARSE-Qualification}{PARSE-Primary1} -\calls{PARSE-Qualification}{push-reduction} -\calls{PARSE-Qualification}{dollarTran} -\calls{PARSE-Qualification}{pop-stack-1} -\begin{chunk}{defun PARSE-Qualification} -(defun |PARSE-Qualification| () - (and (match-advance-string "$") (must (|PARSE-Primary1|)) - (push-reduction '|PARSE-Qualification| - (|dollarTran| (pop-stack-1) (pop-stack-1))))) +\defun{postOp}{postOp} +\begin{chunk}{defun postOp} +(defun |postOp| (x) + (declare (special $boot)) + (cond + ((eq x '|:=|) (if $boot 'spadlet 'let)) + ((eq x '|:-|) 'letd) + ((eq x '|Attribute|) 'attribute) + (t x))) \end{chunk} -\defun{PARSE-Reduction}{PARSE-Reduction} -\calls{PARSE-Reduction}{PARSE-ReductionOp} -\calls{PARSE-Reduction}{must} -\calls{PARSE-Reduction}{PARSE-Expr} -\calls{PARSE-Reduction}{push-reduction} -\calls{PARSE-Reduction}{pop-stack-2} -\calls{PARSE-Reduction}{pop-stack-1} -\begin{chunk}{defun PARSE-Reduction} -(defun |PARSE-Reduction| () - (and (|PARSE-ReductionOp|) (must (|PARSE-Expr| 1000)) - (push-reduction '|PARSE-Reduction| - (list '|Reduce| (pop-stack-2) (pop-stack-1) )))) - -\end{chunk} -\defun{PARSE-ReductionOp}{PARSE-ReductionOp} -\calls{PARSE-ReductionOp}{getl} -\calls{PARSE-ReductionOp}{current-symbol} -\calls{PARSE-ReductionOp}{match-next-token} -\calls{PARSE-ReductionOp}{action} -\calls{PARSE-ReductionOp}{advance-token} -\begin{chunk}{defun PARSE-ReductionOp} -(defun |PARSE-ReductionOp| () - (and (getl (current-symbol) '|Led|) - (match-next-token 'special-char (code-char 47)) - (push-reduction '|PARSE-ReductionOp| (current-symbol)) - (action (advance-token)) (action (advance-token)))) +\defun{postAtom}{postAtom} +\usesdollar{postAtom}{boot} +\begin{chunk}{defun postAtom} +(defun |postAtom| (x) + (declare (special $boot)) + (cond + ($boot x) + ((eql x 0) '(|Zero|)) + ((eql x 1) '(|One|)) + ((eq x t) 't$) + ((and (identp x) (getdatabase x 'niladic)) (list x)) + (t x))) \end{chunk} -\defun{PARSE-Form}{PARSE-Form} -\calls{PARSE-Form}{match-advance-string} -\calls{PARSE-Form}{bang} -\calls{PARSE-Form}{optional} -\calls{PARSE-Form}{must} -\calls{PARSE-Form}{push-reduction} -\calls{PARSE-Form}{pop-stack-1} -\calls{PARSE-Form}{PARSE-Application} -\begin{chunk}{defun PARSE-Form} -(defun |PARSE-Form| () - (or (and (match-advance-string "iterate") - (bang fil_test - (optional - (and (match-advance-string "from") - (must (|PARSE-Label|)) - (push-reduction '|PARSE-Form| - (list (pop-stack-1)))))) - (push-reduction '|PARSE-Form| - (cons '|iterate| (append (pop-stack-1) nil)))) - (and (match-advance-string "yield") (must (|PARSE-Application|)) - (push-reduction '|PARSE-Form| - (list '|yield| (pop-stack-1)))) - (|PARSE-Application|))) +\defun{postTranList}{postTranList} +\calls{postTranList}{postTran} +\begin{chunk}{defun postTranList} +(defun |postTranList| (x) + (loop for y in x collect (|postTran| y))) \end{chunk} -\defun{PARSE-Application}{PARSE-Application} -\calls{PARSE-Application}{PARSE-Primary} -\calls{PARSE-Application}{optional} -\calls{PARSE-Application}{star} -\calls{PARSE-Application}{PARSE-Selector} -\calls{PARSE-Application}{PARSE-Application} -\calls{PARSE-Application}{push-reduction} -\calls{PARSE-Application}{pop-stack-2} -\calls{PARSE-Application}{pop-stack-1} -\begin{chunk}{defun PARSE-Application} -(defun |PARSE-Application| () - (and (|PARSE-Primary|) (optional (star opt_expr (|PARSE-Selector|))) - (optional - (and (|PARSE-Application|) - (push-reduction '|PARSE-Application| - (list (pop-stack-2) (pop-stack-1))))))) +\defun{postScriptsForm}{postScriptsForm} +\calls{postScriptsForm}{getScriptName} +\calls{postScriptsForm}{length} +\calls{postScriptsForm}{postTranScripts} +\begin{chunk}{defun postScriptsForm} +(defun |postScriptsForm| (form argl) + (let ((op (second form)) (a (third form))) + (cons (|getScriptName| op a (|#| argl)) + (append (|postTranScripts| a) argl)))) \end{chunk} -\defun{PARSE-Label}{PARSE-Label} -\calls{PARSE-Label}{match-advance-string} -\calls{PARSE-Label}{must} -\calls{PARSE-Label}{PARSE-Name} -\begin{chunk}{defun PARSE-Label} -(defun |PARSE-Label| () - (and (match-advance-string "<<") (must (|PARSE-Name|)) - (must (match-advance-string ">>")))) +\defun{postTranScripts}{postTranScripts} +\calls{postTranScripts}{postTranScripts} +\calls{postTranScripts}{postTran} +\begin{chunk}{defun postTranScripts} +(defun |postTranScripts| (a) + (labels ( + (fn (x) + (if (and (consp x) (eq (qfirst x) '|@Tuple|)) + (qrest x) + (list x)))) + (let (tmp1 tmp2 tmp3) + (cond + ((and (consp a) (eq (qfirst a) '|PrefixSC|) + (progn + (setq tmp1 (qrest a)) + (and (consp tmp1) (eq (qrest tmp1) nil)))) + (|postTranScripts| (qfirst tmp1))) + ((and (consp a) (eq (qfirst a) '|;|)) + (dolist (y (qrest a) tmp2) + (setq tmp2 (append tmp2 (|postTranScripts| y))))) + ((and (consp a) (eq (qfirst a) '|,|)) + (dolist (y (qrest a) tmp3) + (setq tmp3 (append tmp3 (fn (|postTran| y)))))) + (t (list (|postTran| a))))))) \end{chunk} -\defun{PARSE-Selector}{PARSE-Selector} -\calls{PARSE-Selector}{current-symbol} -\calls{PARSE-Selector}{char-ne} -\calls{PARSE-Selector}{current-char} -\calls{PARSE-Selector}{match-advance-string} -\calls{PARSE-Selector}{must} -\calls{PARSE-Selector}{PARSE-PrimaryNoFloat} -\calls{PARSE-Selector}{push-reduction} -\calls{PARSE-Selector}{pop-stack-2} -\calls{PARSE-Selector}{pop-stack-1} -\calls{PARSE-Selector}{PARSE-Float} -\calls{PARSE-Selector}{PARSE-Primary} -\usesdollar{PARSE-Selector}{boot} -\begin{chunk}{defun PARSE-Selector} -(defun |PARSE-Selector| () - (declare (special $boot)) - (or (and nonblank (eq (current-symbol) '|.|) - (char-ne (current-char) '| |) (match-advance-string ".") - (must (|PARSE-PrimaryNoFloat|)) - (must (or (and $boot - (push-reduction '|PARSE-Selector| - (list 'elt (pop-stack-2) (pop-stack-1)))) - (push-reduction '|PARSE-Selector| - (list (pop-stack-2) (pop-stack-1)))))) - (and (or (|PARSE-Float|) - (and (match-advance-string ".") - (must (|PARSE-Primary|)))) - (must (or (and $boot - (push-reduction '|PARSE-Selector| - (list 'elt (pop-stack-2) (pop-stack-1)))) - (push-reduction '|PARSE-Selector| - (list (pop-stack-2) (pop-stack-1)))))))) +\defun{postTransformCheck}{postTransformCheck} +\calls{postTransformCheck}{postcheck} +\usesdollar{postTransformCheck}{defOp} +\begin{chunk}{defun postTransformCheck} +(defun |postTransformCheck| (x) + (let (|$defOp|) + (declare (special |$defOp|)) + (setq |$defOp| nil) + (|postcheck| x))) \end{chunk} -\defun{PARSE-PrimaryNoFloat}{PARSE-PrimaryNoFloat} -\calls{PARSE-PrimaryNoFloat}{PARSE-Primary1} -\calls{PARSE-PrimaryNoFloat}{optional} -\calls{PARSE-PrimaryNoFloat}{PARSE-TokTail} -\begin{chunk}{defun PARSE-PrimaryNoFloat} -(defun |PARSE-PrimaryNoFloat| () - (and (|PARSE-Primary1|) (optional (|PARSE-TokTail|)))) +\defun{postcheck}{postcheck} +\calls{postcheck}{setDefOp} +\calls{postcheck}{postcheck} +\begin{chunk}{defun postcheck} +(defun |postcheck| (x) + (cond + ((atom x) nil) + ((and (consp x) (eq (qfirst x) 'def) (consp (qrest x))) + (|setDefOp| (qsecond x)) + (|postcheck| (qcddr x))) + ((and (consp x) (eq (qfirst x) 'quote)) nil) + (t (|postcheck| (car x)) (|postcheck| (cdr x))))) \end{chunk} -\defun{PARSE-Primary}{PARSE-Primary} -\calls{PARSE-Primary}{PARSE-Float} +\defun{postError}{postError} +\calls{postError}{nequal} +\calls{postError}{bumperrorcount} +\usesdollar{postError}{defOp} +\usesdollar{postError}{InteractiveMode} +\usesdollar{postError}{postStack} +\begin{chunk}{defun postError} +(defun |postError| (msg) + (let (xmsg) + (declare (special |$defOp| |$postStack| |$InteractiveMode|)) + (bumperrorcount '|precompilation|) + (setq xmsg + (if (and (nequal |$defOp| '|$defOp|) (null |$InteractiveMode|)) + (cons |$defOp| (cons ": " msg)) + msg)) + (push xmsg |$postStack|) + nil)) + +\end{chunk} + +\defun{postForm}{postForm} +\calls{postForm}{postTranList} +\calls{postForm}{internl} +\calls{postForm}{postTran} +\calls{postForm}{postError} +\calls{postForm}{bright} +\usesdollar{postForm}{boot} +\begin{chunk}{defun postForm} +(defun |postForm| (u) + (let (op argl arglp numOfArgs opp x) + (declare (special $boot)) + (seq + (setq op (car u)) + (setq argl (cdr u)) + (setq x + (cond + ((atom op) + (setq arglp (|postTranList| argl)) + (setq opp + (seq + (exit op) + (when $boot (exit op)) + (when (or (getl op '|Led|) (getl op '|Nud|) (eq op 'in)) (exit op)) + (setq numOfArgs + (cond + ((and (consp arglp) (eq (qrest arglp) nil) (consp (qfirst arglp)) + (eq (qcaar arglp) '|@Tuple|)) + (|#| (qcdar arglp))) + (t 1))) + (internl '* (princ-to-string numOfArgs) (pname op)))) + (cons opp arglp)) + ((and (consp op) (eq (qfirst op) '|Scripts|)) + (append (|postTran| op) (|postTranList| argl))) + (t + (setq u (|postTranList| u)) + (cond + ((and (consp u) (consp (qfirst u)) (eq (qcaar u) '|@Tuple|)) + (|postError| + (cons " " + (append (|bright| u) + (list "is illegal because tuples cannot be applied!" '|%l| + " Did you misuse infix dot?")))))) + u))) + (cond + ((and (consp x) (consp (qrest x)) (eq (qcddr x) nil) + (consp (qsecond x)) (eq (qcaadr x) '|@Tuple|)) + (cons (car x) (qcdadr x))) + (t x))))) + +\end{chunk} + +\section{Indirect called postparse routines} +In the {\bf postTran} function there is the code: +\begin{verbatim} + ((and (atom op) (setq f (getl op '|postTran|))) + (funcall f x)) +\end{verbatim} + +The functions in this section are called through the symbol-plist +of the symbol being parsed. The original list read: + +\begin{verbatim} + add postAdd + @ postAtSign + :BF: postBigFloat + Block postBlock + CATEGORY postCategory + COLLECT postCollect + : postColon + :: postColonColon + , postComma + construct postConstruct + == postDef + => postExit + if postIf + in postin ;" the infix operator version of in" + IN postIn ;" the iterator form of in" + Join postJoin + -> postMapping + ==> postMDef + pretend postPretend + QUOTE postQUOTE + Reduce postReduce + REPEAT postRepeat + Scripts postScripts + ; postSemiColon + Signature postSignature + / postSlash + @Tuple postTuple + TupleCollect postTupleCollect + where postWhere + with postWith +\end{verbatim} + +\defplist{add}{postAdd plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|add| '|postTran|) '|postAdd|)) + +\end{chunk} + +\defun{postAdd}{postAdd} +\calls{postAdd}{postTran} +\calls{postAdd}{postCapsule} +\begin{chunk}{defun postAdd} +(defun |postAdd| (arg) + (if (null (cddr arg)) + (|postCapsule| (second arg)) + (list '|add| (|postTran| (second arg)) (|postCapsule| (third arg))))) + +\end{chunk} + +\defun{postCapsule}{postCapsule} +\calls{postCapsule}{checkWarning} +\calls{postCapsule}{postBlockItem} +\calls{postCapsule}{postBlockItemList} +\calls{postCapsule}{postFlatten} +\begin{chunk}{defun postCapsule} +(defun |postCapsule| (x) + (let (op) + (cond + ((null (and (consp x) (progn (setq op (qfirst x)) t))) + (|checkWarning| (list "Apparent indentation error following add"))) + ((or (integerp op) (eq op '==)) + (list 'capsule (|postBlockItem| x))) + ((eq op '|;|) + (cons 'capsule (|postBlockItemList| (|postFlatten| x '|;|)))) + ((eq op '|if|) + (list 'capsule (|postBlockItem| x))) + (t (|checkWarning| (list "Apparent indentation error following add")))))) + +\end{chunk} + +\defun{postBlockItemList}{postBlockItemList} +\calls{postBlockItemList}{postBlockItem} +\begin{chunk}{defun postBlockItemList} +(defun |postBlockItemList| (args) + (let (result) + (dolist (item args (nreverse result)) + (push (|postBlockItem| item) result)))) + +\end{chunk} + +\defun{postBlockItem}{postBlockItem} +\calls{postBlockItem}{postTran} +\begin{chunk}{defun postBlockItem} +(defun |postBlockItem| (x) + (let ((tmp1 t) tmp2 y tt z) + (setq x (|postTran| x)) + (if + (and (consp x) (eq (qfirst x) '|@Tuple|) + (progn + (and (consp (qrest x)) + (progn (setq tmp2 (reverse (qrest x))) t) + (consp tmp2) + (progn + (and (consp (qfirst tmp2)) (eq (qcaar tmp2) '|:|) + (progn + (and (consp (qcdar tmp2)) + (progn + (setq y (qcadar tmp2)) + (and (consp (qcddar tmp2)) + (eq (qcdddar tmp2) nil) + (progn (setq tt (qcaddar tmp2)) t))))))) + (progn (setq z (qrest tmp2)) t) + (progn (setq z (nreverse z)) T))) + (do ((tmp6 nil (null tmp1)) (tmp7 z (cdr tmp7)) (x nil)) + ((or tmp6 (atom tmp7)) tmp1) + (setq x (car tmp7)) + (setq tmp1 (and tmp1 (identp x))))) + (cons '|:| (cons (cons 'listof (append z (list y))) (list tt))) + x))) + +\end{chunk} + +\defplist{@}{postAtSign plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '@ '|postTran|) '|postAtSign|)) + +\end{chunk} + +\defun{postAtSign}{postAtSign} +\calls{postAtSign}{postTran} +\calls{postAtSign}{postType} +\begin{chunk}{defun postAtSign} +(defun |postAtSign| (arg) + (cons '@ (cons (|postTran| (second arg)) (|postType| (third arg))))) + +\end{chunk} + +\defun{postType}{postType} +\calls{postType}{postTran} +\calls{postType}{unTuple} +\begin{chunk}{defun postType} +(defun |postType| (typ) + (let (source target) + (cond + ((and (consp typ) (eq (qfirst typ) '->) (consp (qrest typ)) + (consp (qcddr typ)) (eq (qcdddr typ) nil)) + (setq source (qsecond typ)) + (setq target (qthird typ)) + (cond + ((eq source '|constant|) + (list (list (|postTran| target)) '|constant|)) + (t + (list (cons '|Mapping| + (cons (|postTran| target) + (|unTuple| (|postTran| source)))))))) + ((and (consp typ) (eq (qfirst typ) '->) + (consp (qrest typ)) (eq (qcddr typ) nil)) + (list (list '|Mapping| (|postTran| (qsecond typ))))) + (t (list (|postTran| typ)))))) + +\end{chunk} + +\defplist{:BF:}{postBigFloat plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|:BF:| '|postTran|) '|postBigFloat|)) + +\end{chunk} + +\defun{postBigFloat}{postBigFloat} +\calls{postBigFloat}{postTran} +\usesdollar{postBigFloat}{boot} +\usesdollar{postBigFloat}{InteractiveMode} +\begin{chunk}{defun postBigFloat} +(defun |postBigFloat| (arg) + (let (mant expon eltword) + (declare (special $boot |$InteractiveMode|)) + (setq mant (second arg)) + (setq expon (cddr arg)) + (if $boot + (times (float mant) (expt (float 10) expon)) + (progn + (setq eltword (if |$InteractiveMode| '|$elt| '|elt|)) + (|postTran| + (list (list eltword '(|Float|) '|float|) + (list '|,| (list '|,| mant expon) 10))))))) + +\end{chunk} + +\defplist{Block}{postBlock plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Block| '|postTran|) '|postBlock|)) + +\end{chunk} + +\defun{postBlock}{postBlock} +\calls{postBlock}{postBlockItemList} +\calls{postBlock}{postTran} +\begin{chunk}{defun postBlock} +(defun |postBlock| (arg) + (let (tmp1 x y) + (setq tmp1 (reverse (cdr arg))) + (setq x (car tmp1)) + (setq y (nreverse (cdr tmp1))) + (cons 'seq + (append (|postBlockItemList| y) (list (list '|exit| (|postTran| x))))))) + +\end{chunk} + +\defplist{category}{postCategory plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'category '|postTran|) '|postCategory|)) + +\end{chunk} + +\defun{postCategory}{postCategory} +\calls{postCategory}{postTran} +\calls{postCategory}{nreverse0} +\usesdollar{postCategory}{insidePostCategoryIfTrue} +\begin{chunk}{defun postCategory} +(defun |postCategory| (u) + (declare (special |$insidePostCategoryIfTrue|)) + (labels ( + (fn (arg) + (let (|$insidePostCategoryIfTrue|) + (declare (special |$insidePostCategoryIfTrue|)) + (setq |$insidePostCategoryIfTrue| t) + (|postTran| arg))) ) + (let ((z (cdr u)) op tmp1) + (if (null z) + u + (progn + (setq op (if |$insidePostCategoryIfTrue| 'progn 'category)) + (cons op (dolist (x z (nreverse0 tmp1)) (push (fn x) tmp1)))))))) + +\end{chunk} + +\defun{postCollect,finish}{postCollect,finish} +\calls{postCollect,finish}{qcar} +\calls{postCollect,finish}{qcdr} +\calls{postCollect,finish}{postMakeCons} +\calls{postCollect,finish}{tuple2List} +\calls{postCollect,finish}{postTranList} +\begin{chunk}{defun postCollect,finish} +(defun |postCollect,finish| (op itl y) + (let (tmp2 tmp5 newBody) + (cond + ((and (consp y) (eq (qfirst y) '|:|) + (consp (qrest y)) (eq (qcddr y) nil)) + (list 'reduce '|append| 0 (cons op (append itl (list (qsecond y)))))) + ((and (consp y) (eq (qfirst y) '|Tuple|)) + (setq newBody + (cond + ((dolist (x (qrest y) tmp2) + (setq tmp2 + (or tmp2 (and (consp x) (eq (qfirst x) '|:|) + (consp (qrest x)) (eq (qcddr x) nil))))) + (|postMakeCons| (qrest y))) + ((dolist (x (qrest y) tmp5) + (setq tmp5 (or tmp5 (and (consp x) (eq (qfirst x) 'segment))))) + (|tuple2List| (qrest y))) + (t (cons '|construct| (|postTranList| (qrest y)))))) + (list 'reduce '|append| 0 (cons op (append itl (list newBody))))) + (t (cons op (append itl (list y))))))) + +\end{chunk} + +\defun{postMakeCons}{postMakeCons} +\calls{postMakeCons}{postMakeCons} +\calls{postMakeCons}{postTran} +\begin{chunk}{defun postMakeCons} +(defun |postMakeCons| (args) + (let (a b) + (cond + ((null args) '|nil|) + ((and (consp args) (consp (qfirst args)) (eq (qcaar args) '|:|) + (consp (qcdar args)) (eq (qcddar args) nil)) + (setq a (qcadar args)) + (setq b (qrest args)) + (if b + (list '|append| (|postTran| a) (|postMakeCons| b)) + (|postTran| a))) + (t (list '|cons| (|postTran| (car args)) (|postMakeCons| (cdr args))))))) + +\end{chunk} + +\defplist{collect}{postCollect plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'collect '|postTran|) '|postCollect|)) + +\end{chunk} + +\defun{postCollect}{postCollect} +\calls{postCollect}{postCollect,finish} +\calls{postCollect}{postCollect} +\calls{postCollect}{postIteratorList} +\calls{postCollect}{postTran} +\begin{chunk}{defun postCollect} +(defun |postCollect| (arg) + (let (constructOp tmp3 m itl x) + (setq constructOp (car arg)) + (setq tmp3 (reverse (cdr arg))) + (setq x (car tmp3)) + (setq m (nreverse (cdr tmp3))) + (cond + ((and (consp x) (consp (qfirst x)) (eq (qcaar x) '|elt|) + (consp (qcdar x)) (consp (qcddar x)) + (eq (qcdddar x) nil) + (eq (qcaddar x) '|construct|)) + (|postCollect| + (cons (list '|elt| (qcadar x) 'collect) + (append m (list (cons '|construct| (qrest x))))))) + (t + (setq itl (|postIteratorList| m)) + (setq x + (if (and (consp x) (eq (qfirst x) '|construct|) + (consp (qrest x)) (eq (qcddr x) nil)) + (qsecond x) + x)) + (|postCollect,finish| constructOp itl (|postTran| x)))))) + +\end{chunk} + +\defun{postIteratorList}{postIteratorList} +\calls{postIteratorList}{postTran} +\calls{postIteratorList}{postInSeq} +\calls{postIteratorList}{postIteratorList} +\begin{chunk}{defun postIteratorList} +(defun |postIteratorList| (args) + (let (z p y u a b) + (cond + ((consp args) + (setq p (|postTran| (qfirst args))) + (setq z (qrest args)) + (cond + ((and (consp p) (eq (qfirst p) 'in) (consp (qrest p)) + (consp (qcddr p)) (eq (qcdddr p) nil)) + (setq y (qsecond p)) + (setq u (qthird p)) + (cond + ((and (consp u) (eq (qfirst u) '|\||) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil)) + (setq a (qsecond u)) + (setq b (qthird u)) + (cons (list 'in y (|postInSeq| a)) + (cons (list '|\|| b) + (|postIteratorList| z)))) + (t (cons (list 'in y (|postInSeq| u)) (|postIteratorList| z))))) + (t (cons p (|postIteratorList| z))))) + (t args)))) + +\end{chunk} + +\defplist{:}{postColon plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|:| '|postTran|) '|postColon|)) + +\end{chunk} + +\defun{postColon}{postColon} +\calls{postColon}{postTran} +\calls{postColon}{postType} +\begin{chunk}{defun postColon} +(defun |postColon| (u) + (cond + ((and (consp u) (eq (qfirst u) '|:|) + (consp (qrest u)) (eq (qcddr u) nil)) + (list '|:| (|postTran| (qsecond u)))) + ((and (consp u) (eq (qfirst u) '|:|) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil)) + (cons '|:| (cons (|postTran| (second u)) (|postType| (third u))))))) + +\end{chunk} + +\defplist{::}{postColonColon plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|::| '|postTran|) '|postColonColon|)) + +\end{chunk} + +\defun{postColonColon}{postColonColon} +\calls{postColonColon}{postForm} +\usesdollar{postColonColon}{boot} +\begin{chunk}{defun postColonColon} +(defun |postColonColon| (u) + (if (and $boot (consp u) (eq (qfirst u) '|::|) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil)) + (intern (princ-to-string (third u)) (second u)) + (|postForm| u))) + +\end{chunk} + +\defplist{,}{postComma plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|,| '|postTran|) '|postComma|)) + +\end{chunk} + +\defun{postComma}{postComma} +\calls{postComma}{postTuple} +\calls{postComma}{comma2Tuple} +\begin{chunk}{defun postComma} +(defun |postComma| (u) + (|postTuple| (|comma2Tuple| u))) + +\end{chunk} + +\defun{comma2Tuple}{comma2Tuple} +\calls{comma2Tuple}{postFlatten} +\begin{chunk}{defun comma2Tuple} +(defun |comma2Tuple| (u) + (cons '|@Tuple| (|postFlatten| u '|,|))) + +\end{chunk} + +\defun{postFlatten}{postFlatten} +\calls{postFlatten}{postFlatten} +\begin{chunk}{defun postFlatten} +(defun |postFlatten| (x op) + (let (a b) + (cond + ((and (consp x) (equal (qfirst x) op) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (setq a (qsecond x)) + (setq b (qthird x)) + (append (|postFlatten| a op) (|postFlatten| b op))) + (t (list x))))) + +\end{chunk} + +\defplist{construct}{postConstruct plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|construct| '|postTran|) '|postConstruct|)) + +\end{chunk} + +\defun{postConstruct}{postConstruct} +\calls{postConstruct}{comma2Tuple} +\calls{postConstruct}{postTranSegment} +\calls{postConstruct}{postMakeCons} +\calls{postConstruct}{tuple2List} +\calls{postConstruct}{postTranList} +\calls{postConstruct}{postTran} +\begin{chunk}{defun postConstruct} +(defun |postConstruct| (u) + (let (b a tmp4 tmp7) + (cond + ((and (consp u) (eq (qfirst u) '|construct|) + (consp (qrest u)) (eq (qcddr u) nil)) + (setq b (qsecond u)) + (setq a + (if (and (consp b) (eq (qfirst b) '|,|)) + (|comma2Tuple| b) + b)) + (cond + ((and (consp a) (eq (qfirst a) 'segment) (consp (qrest a)) + (consp (qcddr a)) (eq (qcdddr a) nil)) + (list '|construct| (|postTranSegment| (second a) (third a)))) + ((and (consp a) (eq (qfirst a) '|@Tuple|)) + (cond + ((dolist (x (qrest a) tmp4) + (setq tmp4 + (or tmp4 + (and (consp x) (eq (qfirst x) '|:|) + (consp (qrest x)) (eq (qcddr x) nil))))) + (|postMakeCons| (qrest a))) + ((dolist (x (qrest a) tmp7) + (setq tmp7 (or tmp7 (and (consp x) (eq (qfirst x) 'segment))))) + (|tuple2List| (qrest a))) + (t (cons '|construct| (|postTranList| (qrest a)))))) + (t (list '|construct| (|postTran| a))))) + (t u)))) + +\end{chunk} + +\defun{postTranSegment}{postTranSegment} +\calls{postTranSegment}{postTran} +\begin{chunk}{defun postTranSegment} +(defun |postTranSegment| (p q) + (list 'segment (|postTran| p) (when q (|postTran| q)))) + +\end{chunk} + +\defplist{==}{postDef plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|==| '|postTran|) '|postDef|)) + +\end{chunk} + +\defun{postDef}{postDef} +\calls{postDef}{postMDef} +\calls{postDef}{recordHeaderDocumentation} +\calls{postDef}{nequal} +\calls{postDef}{postTran} +\calls{postDef}{postDefArgs} +\calls{postDef}{nreverse0} +\usesdollar{postDef}{boot} +\usesdollar{postDef}{maxSignatureLineNumber} +\usesdollar{postDef}{headerDocumentation} +\usesdollar{postDef}{docList} +\usesdollar{postDef}{InteractiveMode} +\begin{chunk}{defun postDef} +(defun |postDef| (arg) + (let (defOp rhs lhs targetType tmp1 op argl newLhs + argTypeList typeList form specialCaseForm tmp4 tmp6 tmp8) + (declare (special $boot |$maxSignatureLineNumber| |$headerDocumentation| + |$docList| |$InteractiveMode|)) + (setq defOp (first arg)) + (setq lhs (second arg)) + (setq rhs (third arg)) + (if (and (consp lhs) (eq (qfirst lhs) '|macro|) + (consp (qrest lhs)) (eq (qcddr lhs) nil)) + (|postMDef| (list '==> (second lhs) rhs)) + (progn + (unless $boot (|recordHeaderDocumentation| nil)) + (when (nequal |$maxSignatureLineNumber| 0) + (setq |$docList| + (cons (cons '|constructor| |$headerDocumentation|) |$docList|)) + (setq |$maxSignatureLineNumber| 0)) + (setq lhs (|postTran| lhs)) + (setq tmp1 + (if (and (consp lhs) (eq (qfirst lhs) '|:|)) (cdr lhs) (list lhs nil))) + (setq form (first tmp1)) + (setq targetType (second tmp1)) + (when (and (null |$InteractiveMode|) (atom form)) (setq form (list form))) + (setq newLhs + (if (atom form) + form + (progn + (setq tmp1 + (dolist (x form (nreverse0 tmp4)) + (push + (if (and (consp x) (eq (qfirst x) '|:|) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (second x) + x) + tmp4))) + (setq op (car tmp1)) + (setq argl (cdr tmp1)) + (cons op (|postDefArgs| argl))))) + (setq argTypeList + (unless (atom form) + (dolist (x (cdr form) (nreverse0 tmp6)) + (push + (when (and (consp x) (eq (qfirst x) '|:|) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (third x)) + tmp6)))) + (setq typeList (cons targetType argTypeList)) + (when (atom form) (setq form (list form))) + (setq specialCaseForm (dolist (x form (nreverse tmp8)) (push nil tmp8))) + (list 'def newLhs typeList specialCaseForm (|postTran| rhs)))))) + +\end{chunk} + +\defun{postDefArgs}{postDefArgs} +\calls{postDefArgs}{postError} +\calls{postDefArgs}{postDefArgs} +\begin{chunk}{defun postDefArgs} +(defun |postDefArgs| (args) + (let (a b) + (cond + ((null args) args) + ((and (consp args) (consp (qfirst args)) (eq (qcaar args) '|:|) + (consp (qcdar args)) (eq (qcddar args) nil)) + (setq a (qcadar args)) + (setq b (qrest args)) + (cond + (b (|postError| + (list " Argument" a "of indefinite length must be last"))) + ((or (atom a) (and (consp a) (eq (qfirst a) 'quote))) + a) + (t + (|postError| + (list " Argument" a "of indefinite length must be a name"))))) + (t (cons (car args) (|postDefArgs| (cdr args))))))) + +\end{chunk} + +\defplist{$=>$}{postExit plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|=>| '|postTran|) '|postExit|)) + +\end{chunk} + +\defun{postExit}{postExit} +\calls{postExit}{postTran} +\begin{chunk}{defun postExit} +(defun |postExit| (arg) + (list 'if (|postTran| (second arg)) + (list '|exit| (|postTran| (third arg))) + '|noBranch|)) + +\end{chunk} + +\defplist{if}{postIf plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|if| '|postTran|) '|postIf|)) + +\end{chunk} + +\defun{postIf}{postIf} +\calls{postIf}{nreverse0} +\calls{postIf}{postTran} +\usesdollar{postIf}{boot} +\begin{chunk}{defun postIf} +(defun |postIf| (arg) + (let (tmp1) + (if (null (and (consp arg) (eq (qfirst arg) '|if|))) + arg + (cons 'if + (dolist (x (qrest arg) (nreverse0 tmp1)) + (push + (if (and (null (setq x (|postTran| x))) (null $boot)) '|noBranch| x) + tmp1)))))) + +\end{chunk} + +\defplist{in}{postin plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|in| '|postTran|) '|postin|)) + +\end{chunk} + +\defun{postin}{postin} +\calls{postin}{systemErrorHere} +\calls{postin}{postTran} +\calls{postin}{postInSeq} +\begin{chunk}{defun postin} +(defun |postin| (arg) + (if (null (and (consp arg) (eq (qfirst arg) '|in|) (consp (qrest arg)) + (consp (qcddr arg)) (eq (qcdddr arg) nil))) + (|systemErrorHere| "postin") + (list '|in| (|postTran| (second arg)) (|postInSeq| (third arg))))) + +\end{chunk} + +\defun{postInSeq}{postInSeq} +\calls{postInSeq}{postTranSegment} +\calls{postInSeq}{tuple2List} +\calls{postInSeq}{postTran} +\begin{chunk}{defun postInSeq} +(defun |postInSeq| (seq) + (cond + ((and (consp seq) (eq (qfirst seq) 'segment) (consp (qrest seq)) + (consp (qcddr seq)) (eq (qcdddr seq) nil)) + (|postTranSegment| (second seq) (third seq))) + ((and (consp seq) (eq (qfirst seq) '|@Tuple|)) + (|tuple2List| (qrest seq))) + (t (|postTran| seq)))) + +\end{chunk} + +\defplist{In}{postIn plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'in '|postTran|) '|postIn|)) + +\end{chunk} + +\defun{postIn}{postIn} +\calls{postIn}{systemErrorHere} +\calls{postIn}{postTran} +\calls{postIn}{postInSeq} +\begin{chunk}{defun postIn} +(defun |postIn| (arg) + (if (null (and (consp arg) (eq (qfirst arg) 'in) (consp (qrest arg)) + (consp (qcddr arg)) (eq (qcdddr arg) nil))) + (|systemErrorHere| "postIn") + (list 'in (|postTran| (second arg)) (|postInSeq| (third arg))))) + +\end{chunk} + +\defplist{Join}{postJoin plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Join| '|postTran|) '|postJoin|)) + +\end{chunk} + +\defun{postJoin}{postJoin} +\calls{postJoin}{postTran} +\calls{postJoin}{postTranList} +\begin{chunk}{defun postJoin} +(defun |postJoin| (arg) + (let (a l al) + (setq a (|postTran| (cadr arg))) + (setq l (|postTranList| (cddr arg))) + (when (and (consp l) (eq (qrest l) nil) (consp (qfirst l)) + (member (qcaar l) '(attribute signature))) + (setq l (list (list 'category (qfirst l))))) + (setq al (if (and (consp a) (eq (qfirst a) '|@Tuple|)) (qrest a) (list a))) + (cons '|Join| (append al l)))) + +\end{chunk} + +\defplist{$->$}{postMapping plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|->| '|postTran|) '|postMapping|)) + +\end{chunk} + +\defun{postMapping}{postMapping} +\calls{postMapping}{postTran} +\calls{postMapping}{unTuple} +\begin{chunk}{defun postMapping} +(defun |postMapping| (u) + (if (null (and (consp u) (eq (qfirst u) '->) (consp (qrest u)) + (consp (qcddr u)) (eq (qcdddr u) nil))) + u + (cons '|Mapping| + (cons (|postTran| (third u)) + (|unTuple| (|postTran| (second u))))))) + +\end{chunk} + +\defplist{$==>$}{postMDef plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|==>| '|postTran|) '|postMDef|)) + +\end{chunk} + +\defun{postMDef}{postMDef} +\calls{postMDef}{postTran} +\calls{postMDef}{throwkeyedmsg} +\calls{postMDef}{nreverse0} +\usesdollar{postMDef}{InteractiveMode} +\usesdollar{postMDef}{boot} +\begin{chunk}{defun postMDef} +(defun |postMDef| (arg) + (let (rhs lhs tmp1 targetType form newLhs typeList tmp4 tmp5 tmp8) + (declare (special |$InteractiveMode| $boot)) + (setq lhs (second arg)) + (setq rhs (third arg)) + (cond + ((and |$InteractiveMode| (null $boot)) + (setq lhs (|postTran| lhs)) + (if (null (identp lhs)) + (|throwkeyedmsg| 's2ip0001 nil) + (list 'mdef lhs nil nil (|postTran| rhs)))) + (t + (setq lhs (|postTran| lhs)) + (setq tmp1 + (if (and (consp lhs) (eq (qfirst lhs) '|:|)) (cdr lhs) (list lhs nil))) + (setq form (first tmp1)) + (setq targetType (second tmp1)) + (setq form (if (atom form) (list form) form)) + (setq newLhs + (dolist (x form (nreverse0 tmp4)) + (push + (if (and (consp x) (eq (qfirst x) '|:|) (consp (qrest x))) (second x) x) + tmp4))) + (setq typeList + (cons targetType + (dolist (x (qrest form) (nreverse0 tmp5)) + (push + (when (and (consp x) (eq (qfirst x) '|:|) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (third x)) + tmp5)))) + (list 'mdef newLhs typeList + (dolist (x form (nreverse0 tmp8)) (push nil tmp8)) + (|postTran| rhs)))))) + +\end{chunk} + +\defplist{pretend}{postPretend plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|pretend| '|postTran|) '|postPretend|)) + +\end{chunk} + +\defun{postPretend}{postPretend} +\calls{postPretend}{postTran} +\calls{postPretend}{postType} +\begin{chunk}{defun postPretend} +(defun |postPretend| (arg) + (cons '|pretend| (cons (|postTran| (second arg)) (|postType| (third arg))))) + +\end{chunk} + +\defplist{quote}{postQUOTE plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'quote '|postTran|) '|postQUOTE|)) + +\end{chunk} + +\defun{postQUOTE}{postQUOTE} +\begin{chunk}{defun postQUOTE} +(defun |postQUOTE| (arg) arg) + +\end{chunk} + +\defplist{reduce}{postReduce plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Reduce| '|postTran|) '|postReduce|)) + +\end{chunk} + +\defun{postReduce}{postReduce} +\calls{postReduce}{postTran} +\calls{postReduce}{postReduce} +\usesdollar{postReduce}{InteractiveMode} +\begin{chunk}{defun postReduce} +(defun |postReduce| (arg) + (let (op expr g) + (setq op (second arg)) + (setq expr (third arg)) + (if (or |$InteractiveMode| (and (consp expr) (eq (qfirst expr) 'collect))) + (list 'reduce op 0 (|postTran| expr)) + (|postReduce| + (list '|Reduce| op + (list 'collect + (list 'in (setq g (gensym)) expr) + (list '|construct| g))))))) + +\end{chunk} + +\defplist{repeat}{postRepeat plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get 'repeat '|postTran|) '|postRepeat|)) + +\end{chunk} + +\defun{postRepeat}{postRepeat} +\calls{postRepeat}{postIteratorList} +\calls{postRepeat}{postTran} +\begin{chunk}{defun postRepeat} +(defun |postRepeat| (arg) + (let (tmp1 x m) + (setq tmp1 (reverse (cdr arg))) + (setq x (car tmp1)) + (setq m (nreverse (cdr tmp1))) + (cons 'repeat (append (|postIteratorList| m) (list (|postTran| x)))))) + +\end{chunk} + +\defplist{Scripts}{postScripts plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Scripts| '|postTran|) '|postScripts|)) + +\end{chunk} + +\defun{postScripts}{postScripts} +\calls{postScripts}{getScriptName} +\calls{postScripts}{postTranScripts} +\begin{chunk}{defun postScripts} +(defun |postScripts| (arg) + (cons (|getScriptName| (second arg) (third arg) 0) + (|postTranScripts| (third arg)))) + +\end{chunk} + +\defplist{;}{postSemiColon plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|;| '|postTran|) '|postSemiColon|)) + +\end{chunk} + +\defun{postSemiColon}{postSemiColon} +\calls{postSemiColon}{postBlock} +\calls{postSemiColon}{postFlattenLeft} +\begin{chunk}{defun postSemiColon} +(defun |postSemiColon| (u) + (|postBlock| (cons '|Block| (|postFlattenLeft| u '|;|)))) + +\end{chunk} + + +\defun{postFlattenLeft}{postFlattenLeft} +\calls{postFlattenLeft}{postFlattenLeft} +\begin{chunk}{defun postFlattenLeft} +(defun |postFlattenLeft| (x op) + (let (a b) + (cond + ((and (consp x) (equal (qfirst x) op) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (setq a (qsecond x)) + (setq b (qthird x)) + (append (|postFlattenLeft| a op) (list b))) + (t (list x))))) + +\end{chunk} + +\defplist{Signature}{postSignature plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|Signature| '|postTran|) '|postSignature|)) + +\end{chunk} + +\defun{postSignature}{postSignature} +\calls{postSignature}{postType} +\calls{postSignature}{removeSuperfluousMapping} +\calls{postSignature}{killColons} +\begin{chunk}{defun postSignature} +(defun |postSignature| (arg) + (let (sig sig1 op) + (setq op (second arg)) + (setq sig (third arg)) + (when (and (consp sig) (eq (qfirst sig) '->)) + (setq sig1 (|postType| sig)) + (setq op (|postAtom| (if (stringp op) (setq op (intern op)) op))) + (cons 'signature + (cons op (|removeSuperfluousMapping| (|killColons| sig1))))))) + +\end{chunk} + +\defun{removeSuperfluousMapping}{removeSuperfluousMapping} +\begin{chunk}{defun removeSuperfluousMapping} +(defun |removeSuperfluousMapping| (sig1) + (if (and (consp sig1) (consp (qfirst sig1)) (eq (qcaar sig1) '|Mapping|)) + (cons (cdr (qfirst sig1)) (qrest sig1)) + sig1)) + +\end{chunk} + +\defun{killColons}{killColons} +\calls{killColons}{killColons} +\begin{chunk}{defun killColons} +(defun |killColons| (x) + (cond + ((atom x) x) + ((and (consp x) (eq (qfirst x) '|Record|)) x) + ((and (consp x) (eq (qfirst x) '|Union|)) x) + ((and (consp x) (eq (qfirst x) '|:|) (consp (qrest x)) + (consp (qcddr x)) (eq (qcdddr x) nil)) + (|killColons| (third x))) + (t (cons (|killColons| (car x)) (|killColons| (cdr x)))))) + +\end{chunk} + +\defplist{/}{postSlash plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '/ '|postTran|) '|postSlash|)) + +\end{chunk} + +\defun{postSlash}{postSlash} +\calls{postSlash}{postTran} +\begin{chunk}{defun postSlash} +(defun |postSlash| (arg) + (if (stringp (second arg)) + (|postTran| (list '|Reduce| (intern (second arg)) (third arg) )) + (list '/ (|postTran| (second arg)) (|postTran| (third arg))))) + +\end{chunk} + +\defplist{@Tuple}{postTuple plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|@Tuple| '|postTran|) '|postTuple|)) + +\end{chunk} + +\defun{postTuple}{postTuple} +\calls{postTuple}{postTranList} +\begin{chunk}{defun postTuple} +(defun |postTuple| (arg) + (cond + ((and (consp arg) (eq (qrest arg) nil) (eq (qfirst arg) '|@Tuple|)) + arg) + ((and (consp arg) (eq (qfirst arg) '|@Tuple|) (consp (qrest arg))) + (cons '|@Tuple| (|postTranList| (cdr arg)))))) + +\end{chunk} + +\defplist{TupleCollect}{postTupleCollect plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|TupleCollect| '|postTran|) '|postTupleCollect|)) + +\end{chunk} + +\defun{postTupleCollect}{postTupleCollect} +\calls{postTupleCollect}{postCollect} +\begin{chunk}{defun postTupleCollect} +(defun |postTupleCollect| (arg) + (let (constructOp tmp1 x m) + (setq constructOp (car arg)) + (setq tmp1 (reverse (cdr arg))) + (setq x (car tmp1)) + (setq m (nreverse (cdr tmp1))) + (|postCollect| (cons constructOp (append m (list (list '|construct| x))))))) + +\end{chunk} + +\defplist{where}{postWhere plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|where| '|postTran|) '|postWhere|)) + +\end{chunk} + +\defun{postWhere}{postWhere} +\calls{postWhere}{postTran} +\calls{postWhere}{postTranList} +\begin{chunk}{defun postWhere} +(defun |postWhere| (arg) + (let (b x) + (setq b (third arg)) + (setq x (if (and (consp b) (eq (qfirst b) '|Block|)) (qrest b) (list b))) + (cons '|where| (cons (|postTran| (second arg)) (|postTranList| x))))) + +\end{chunk} + +\defplist{with}{postWith plist} +\begin{chunk}{postvars} +(eval-when (eval load) + (setf (get '|with| '|postTran|) '|postWith|)) + +\end{chunk} + +\defun{postWith}{postWith} +\calls{postWith}{postTran} +\usesdollar{postWith}{insidePostCategoryIfTrue} +\begin{chunk}{defun postWith} +(defun |postWith| (arg) + (let (|$insidePostCategoryIfTrue| a) + (declare (special |$insidePostCategoryIfTrue|)) + (setq |$insidePostCategoryIfTrue| t) + (setq a (|postTran| (second arg))) + (cond + ((and (consp a) (member (qfirst a) '(signature attribute if))) + (list 'category a)) + ((and (consp a) (eq (qfirst a) 'progn)) + (cons 'category (qrest a))) + (t a)))) + +\end{chunk} + + +\section{Support routines} +\defun{setDefOp}{setDefOp} +\usesdollar{setDefOp}{defOp} +\usesdollar{setDefOp}{topOp} +\begin{chunk}{defun setDefOp} +(defun |setDefOp| (f) + (let (tmp1) + (declare (special |$defOp| |$topOp|)) + (when (and (consp f) (eq (qfirst f) '|:|) + (consp (setq tmp1 (qrest f)))) + (setq f (qfirst tmp1))) + (unless (atom f) (setq f (car f))) + (if |$topOp| + (setq |$defOp| f) + (setq |$topOp| f)))) + +\end{chunk} + +\defun{aplTran}{aplTran} +\calls{aplTran}{aplTran1} +\calls{aplTran}{containsBang} +\defsdollar{aplTran}{genno} +\usesdollar{aplTran}{boot} +\begin{chunk}{defun aplTran} +(defun |aplTran| (x) + (let ($genno u) + (declare (special $genno $boot)) + (cond + ($boot x) + (t + (setq $genno 0) + (setq u (|aplTran1| x)) + (cond + ((|containsBang| u) (|throwKeyedMsg| 's2ip0002 nil)) + (t u)))))) + +\end{chunk} + +\defun{aplTran1}{aplTran1} +\calls{aplTran1}{aplTranList} +\calls{aplTran1}{aplTran1} +\calls{aplTran1}{hasAplExtension} +\calls{aplTran1}{nreverse0} +\calls{aplTran1}{} +\usesdollar{aplTran1}{boot} +\begin{chunk}{defun aplTran1} +(defun |aplTran1| (x) + (let (op argl1 argl f y opprime yprime tmp1 arglAssoc futureArgl g) + (declare (special $boot)) + (if (atom x) + x + (progn + (setq op (car x)) + (setq argl1 (cdr x)) + (setq argl (|aplTranList| argl1)) + (cond + ((eq op '!) + (cond + ((and (consp argl) + (progn + (setq f (qfirst argl)) + (setq tmp1 (qrest argl)) + (and (consp tmp1) + (eq (qrest tmp1) nil) + (progn + (setq y (qfirst tmp1)) + t)))) + (cond + ((and (consp y) + (progn + (setq opprime (qfirst y)) + (setq yprime (qrest y)) + t) + (eq opprime '!)) + (|aplTran1| (cons op (cons op (cons f yprime))))) + ($boot + (cons 'collect + (cons + (list 'in (setq g (genvar)) (|aplTran1| y)) + (list (list f g ) )))) + (t + (list 'map f (|aplTran1| y) )))) + (t x))) + ((progn + (setq tmp1 (|hasAplExtension| argl)) + (and (consp tmp1) + (progn + (setq arglAssoc (qfirst tmp1)) + (setq futureArgl (qrest tmp1)) + t))) + (cons '|reshape| + (cons + (cons 'collect + (append + (do ((tmp3 arglAssoc (cdr tmp3)) (tmp4 nil)) + ((or (atom tmp3) + (progn (setq tmp4 (car tmp3)) nil) + (progn + (setq g (car tmp4)) + (setq a (cdr tmp4)) + nil)) + (nreverse0 tmp2)) + (push (list 'in g (list '|ravel| a))) tmp2)) + (list (|aplTran1| (cons op futureArgl))))) + (list (cdar arglAssoc)))) + (t (cons op argl))))))) + +\end{chunk} + +\defun{aplTranList}{aplTranList} +\calls{aplTranList}{aplTran1} +\calls{aplTranList}{aplTranList} +\begin{chunk}{defun aplTranList} +(defun |aplTranList| (x) + (if (atom x) + x + (cons (|aplTran1| (car x)) (|aplTranList| (cdr x))))) + +\end{chunk} + +\defun{hasAplExtension}{hasAplExtension} +\calls{hasAplExtension}{nreverse0} +\calls{hasAplExtension}{deepestExpression} +\calls{hasAplExtension}{genvar} +\calls{hasAplExtension}{aplTran1} +\calls{hasAplExtension}{msubst} +\begin{chunk}{defun hasAplExtension} +(defun |hasAplExtension| (argl) + (let (tmp2 tmp3 y z g arglAssoc u) + (when + (dolist (x argl tmp2) + (setq tmp2 (or tmp2 (and (consp x) (eq (qfirst x) '!))))) + (setq u + (dolist (x argl (nreverse0 tmp3)) + (push + (if (and (consp x) (eq (qfirst x) '!) + (consp (qrest x)) (eq (qcddr x) nil)) + (progn + (setq y (qsecond x)) + (setq z (|deepestExpression| y)) + (setq arglAssoc + (cons (cons (setq g (genvar)) (|aplTran1| z)) arglAssoc)) + (msubst g z y)) + x) + tmp3))) + (cons arglAssoc u)))) + +\end{chunk} + +\defun{deepestExpression}{deepestExpression} +\calls{deepestExpression}{deepestExpression} +\begin{chunk}{defun deepestExpression} +(defun |deepestExpression| (x) + (if (and (consp x) (eq (qfirst x) '!) + (consp (qrest x)) (eq (qcddr x) nil)) + (|deepestExpression| (qsecond x)) + x)) + +\end{chunk} + +\defun{containsBang}{containsBang} +\calls{containsBang}{containsBang} +\begin{chunk}{defun containsBang} +(defun |containsBang| (u) + (let (tmp2) + (cond + ((atom u) (eq u '!)) + ((and (consp u) (equal (qfirst u) 'quote) + (consp (qrest u)) (eq (qcddr u) nil)) + nil) + (t + (dolist (x u tmp2) + (setq tmp2 (or tmp2 (|containsBang| x)))))))) + +\end{chunk} + +\defun{getScriptName}{getScriptName} +\seebook{getScriptName}{identp}{5} +\calls{getScriptName}{postError} +\calls{getScriptName}{internl} +\calls{getScriptName}{decodeScripts} +\seebook{getScriptName}{pname}{5} +\begin{chunk}{defun getScriptName} +(defun |getScriptName| (op a numberOfFunctionalArgs) + (when (null (identp op)) + (|postError| (list " " op " cannot have scripts" ))) + (internl '* (princ-to-string numberOfFunctionalArgs) + (|decodeScripts| a) (pname op))) + +\end{chunk} + +\defun{decodeScripts}{decodeScripts} +\calls{decodeScripts}{qcar} +\calls{decodeScripts}{qcdr} +\calls{decodeScripts}{strconc} +\calls{decodeScripts}{decodeScripts} +\begin{chunk}{defun decodeScripts} +(defun |decodeScripts| (a) + (labels ( + (fn (a) + (let ((tmp1 0)) + (if (and (consp a) (eq (qfirst a) '|,|)) + (dolist (x (qrest a) tmp1) (setq tmp1 (+ tmp1 (fn x)))) + 1)))) + (cond + ((and (consp a) (eq (qfirst a) '|PrefixSC|) + (consp (qrest a)) (eq (qcddr a) nil)) + (strconc (princ-to-string 0) (|decodeScripts| (qsecond a)))) + ((and (consp a) (eq (qfirst a) '|;|)) + (apply 'strconc (loop for x in (qrest a) collect (|decodeScripts| x)))) + ((and (consp a) (eq (qfirst a) '|,|)) + (princ-to-string (fn a))) + (t + (princ-to-string 1))))) + +\end{chunk} + + +\chapter{DEF forms} + +\defdollar{defstack} +\begin{chunk}{initvars} +(defvar $defstack nil) + +\end{chunk} + +\defdollar{is-spill} +\begin{chunk}{initvars} +(defvar $is-spill nil) + +\end{chunk} + +\defdollar{is-spill-list} +\begin{chunk}{initvars} +(defvar $is-spill-list nil) + +\end{chunk} + +\defdollar{vl} +\begin{chunk}{initvars} +(defvar $vl nil) + +\end{chunk} + +\defdollar{is-gensymlist} +\begin{chunk}{initvars} +(defvar $is-gensymlist nil) + +\end{chunk} + +\defvar{initial-gensym} +\begin{chunk}{initvars} +(defvar initial-gensym (list (gensym))) + +\end{chunk} + +\defdollar{is-eqlist} +\begin{chunk}{initvars} +(defvar $is-eqlist nil) + +\end{chunk} + +\defun{hackforis}{hackforis} +\calls{hackforis}{hackforis1} +\begin{chunk}{defun hackforis} +(defun hackforis (l) (mapcar #'hackforis1 L)) + +\end{chunk} + +\defun{hackforis1}{hackforis1} +\calls{hackforis1}{kar} +\calls{hackforis1}{eqcar} +\begin{chunk}{defun hackforis1} +(defun hackforis1 (x) + (if (and (member (kar x) '(in on)) (eqcar (second x) 'is)) + (cons (first x) (cons (cons 'spadlet (cdadr x)) (cddr x))) + x)) + +\end{chunk} + +\defun{unTuple}{unTuple} +\begin{chunk}{defun unTuple} +(defun |unTuple| (x) + (if (and (consp x) (eq (qfirst x) '|@Tuple|)) + (qrest x) + (list x))) + +\end{chunk} + +\defun{errhuh}{errhuh} +\calls{errhuh}{systemError} +\begin{chunk}{defun errhuh} +(defun errhuh () + (|systemError| "problem with BOOT to LISP translation")) + +\end{chunk} + +\chapter{PARSE forms} +\section{The original meta specification} +This package provides routines to support the Metalanguage +translator writing system. Metalanguage is described +in META/LISP, R.D. Jenks, Tech Report, +IBM T.J. Watson Research Center, 1969. +Familiarity with this document is assumed. + +Note that META/LISP and the meta parser/generator were removed from Axiom. +This information is only for documentation purposes. + +\begin{verbatim} +% Scratchpad II Boot Language Grammar, Common Lisp Version +% IBM Thomas J. Watson Research Center +% Summer, 1986 +% +% NOTE: Substantially different from VM/LISP version, due to +% different parser and attempt to render more within META proper. + +.META(New NewExpr Process) +.PACKAGE 'BOOT' +.DECLARE(tmptok TOK ParseMode DEFINITION-NAME LABLASOC) +.PREFIX 'PARSE-' + +NewExpr: =')' .(processSynonyms) Command + / .(SETQ DEFINITION-NAME (CURRENT-SYMBOL)) Statement ; + +Command: ')' SpecialKeyWord SpecialCommand +() ; + +SpecialKeyWord: =(MATCH-CURRENT-TOKEN "IDENTIFIER) + .(SETF (TOKEN-SYMBOL (CURRENT-TOKEN)) (unAbbreviateKeyword (CURRENT-SYMBOL))) ; + +SpecialCommand: 'show' <'?' / Expression>! +(show #1) CommandTail + / ?(MEMBER (CURRENT-SYMBOL) \$noParseCommands) + .(FUNCALL (CURRENT-SYMBOL)) + / ?(MEMBER (CURRENT-SYMBOL) \$tokenCommands) TokenList + TokenCommandTail + / PrimaryOrQM* CommandTail ; + +TokenList: (^?(isTokenDelimiter) +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN))* ; + +TokenCommandTail: + ! ?(atEndOfLine) +(#2 -#1) .(systemCommand #1) ; + +TokenOption: ')' TokenList ; + +CommandTail: ! ?(atEndOfLine) +(#2 -#1) .(systemCommand #1) ; + +PrimaryOrQM: '?' +\? / Primary ; + +Option: ')' PrimaryOrQM* ; + +Statement: Expr{0} <(',' Expr{0})* +(Series #2 -#1)>; + +InfixWith: With +(Join #2 #1) ; + +With: 'with' Category +(with #1) ; + +Category: 'if' Expression 'then' Category <'else' Category>! +(if #3 #2 #1) + / '(' Category <(';' Category)*>! ')' +(CATEGORY #2 -#1) + / .(SETQ $1 (LINE-NUMBER CURRENT-LINE)) Application + ( ':' Expression +(Signature #2 #1) + .(recordSignatureDocumentation ##1 $1) + / +(Attribute #1) + .(recordAttributeDocumentation ##1 $1)); + +Expression: Expr{(PARSE-rightBindingPowerOf (MAKE-SYMBOL-OF PRIOR-TOKEN) ParseMode)} + +#1 ; + +Import: 'import' Expr{1000} <(',' Expr{1000})*>! +(import #2 -#1) ; + +Infix: =TRUE +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) + Expression +(#2 #2 #1) ; + +Prefix: =TRUE +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) + Expression +(#2 #1) ; + +Suffix: +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) +(#1 #1) ; + +TokTail: ?(AND (NULL \$BOOT) (EQ (CURRENT-SYMBOL) "\$) + (OR (ALPHA-CHAR-P (CURRENT-CHAR)) + (CHAR-EQ (CURRENT-CHAR) '$') + (CHAR-EQ (CURRENT-CHAR) '\%') + (CHAR-EQ (CURRENT-CHAR) '('))) + .(SETQ $1 (COPY-TOKEN PRIOR-TOKEN)) Qualification + .(SETQ PRIOR-TOKEN $1) ; + +Qualification: '$' Primary1 +=(dollarTran #1 #1) ; + +SemiColon: ';' (Expr{82} / + \/throwAway) +(\; #2 #1) ; + +Return: 'return' Expression +(return #1) ; + +Exit: 'exit' (Expression / +\$NoValue) +(exit #1) ; + +Leave: 'leave' ( Expression / +\$NoValue ) + ('from' Label +(leaveFrom #1 #1) / +(leave #1)) ; + +Seg: GliphTok{"\.\.} ! +(SEGMENT #2 #1) ; + +Conditional: 'if' Expression 'then' Expression <'else' ElseClause>! + +(if #3 #2 #1) ; + +ElseClause: ?(EQ (CURRENT-SYMBOL) "if) Conditional / Expression ; + +Loop: Iterator* 'repeat' Expr{110} +(REPEAT -#2 #1) + / 'repeat' Expr{110} +(REPEAT #1) ; + +Iterator: 'for' Primary 'in' Expression + ( 'by' Expr{200} +(INBY #3 #2 #1) / +(IN #2 #1) ) + < '\|' Expr{111} +(\| #1) > + / 'while' Expr{190} +(WHILE #1) + / 'until' Expr{190} +(UNTIL #1) ; + +Expr{RBP}: NudPart{RBP} * +#1; + +LabelExpr: Label Expr{120} +(LABEL #2 #1) ; + +Label: '@<<' Name '>>' ; + +LedPart{RBP}: Operation{"Led RBP} +#1; + +NudPart{RBP}: (Operation{"Nud RBP} / Reduction / Form) +#1 ; + +Operation{ParseMode RBP}: + ^?(MATCH-CURRENT-TOKEN "IDENTIFIER) + ?(GETL (SETQ tmptok (CURRENT-SYMBOL)) ParseMode) + ?(LT RBP (PARSE-leftBindingPowerOf tmptok ParseMode)) + .(SETQ RBP (PARSE-rightBindingPowerOf tmptok ParseMode)) + getSemanticForm{tmptok ParseMode (ELEMN (GETL tmptok ParseMode) 5 NIL)} ; + +% Binding powers stored under the Led and Red properties of an operator +% are set up by the file BOTTOMUP.LISP. The format for a Led property +% is , and the same for a Nud, except that +% it may also have a fourth component . ELEMN attempts to +% get the Nth indicator, counting from 1. + +leftBindingPowerOf{X IND}: =(LET ((Y (GETL X IND))) (IF Y (ELEMN Y 3 0) 0)) ; + +rightBindingPowerOf{X IND}: =(LET ((Y (GETL X IND))) (IF Y (ELEMN Y 4 105) 105)) ; + +getSemanticForm{X IND Y}: + ?(AND Y (EVAL Y)) / ?(EQ IND "Nud) Prefix / ?(EQ IND "Led) Infix ; + + +Reduction: ReductionOp Expr{1000} +(Reduce #2 #1) ; + +ReductionOp: ?(AND (GETL (CURRENT-SYMBOL) "Led) + (MATCH-NEXT-TOKEN "SPECIAL-CHAR (CODE-CHAR 47))) % Forgive me! + +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) .(ADVANCE-TOKEN) ; + +Form: 'iterate' < 'from' Label +(#1) >! +(iterate -#1) + / 'yield' Application +(yield #1) + / Application ; + +Application: Primary * ; + +Selector: ?NONBLANK ?(EQ (CURRENT-SYMBOL) "\.) ?(CHAR-NE (CURRENT-CHAR) "\ ) + '.' PrimaryNoFloat (=\$BOOT +(ELT #2 #1)/ +(#2 #1)) + / (Float /'.' Primary) (=\$BOOT +(ELT #2 #1)/ +(#2 #1)); + +PrimaryNoFloat: Primary1 ; + +Primary: Float /PrimaryNoFloat ; + +Primary1: VarForm <=(AND NONBLANK (EQ (CURRENT-SYMBOL) "\()) Primary1 +(#2 #1)> + /Quad + /String + /IntegerTok + /FormalParameter + /='\'' (?\$BOOT Data / '\'' Expr{999} +(QUOTE #1)) + /Sequence + /Enclosure ; + +Float: FloatBase (?NONBLANK FloatExponent / +0) +=(MAKE-FLOAT #4 #2 #2 #1) ; + +FloatBase: ?(FIXP (CURRENT-SYMBOL)) ?(CHAR-EQ (CURRENT-CHAR) '.') + ?(CHAR-NE (NEXT-CHAR) '.') + IntegerTok FloatBasePart + /?(FIXP (CURRENT-SYMBOL)) ?(CHAR-EQ (CHAR-UPCASE (CURRENT-CHAR)) "E) + IntegerTok +0 +0 + /?(DIGITP (CURRENT-CHAR)) ?(EQ (CURRENT-SYMBOL) "\.) + +0 FloatBasePart ; + +FloatBasePart: '.' + (?(DIGITP (CURRENT-CHAR)) +=(TOKEN-NONBLANK (CURRENT-TOKEN)) IntegerTok + / +0 +0); + + +FloatExponent: =(AND (MEMBER (CURRENT-SYMBOL) "(E e)) + (FIND (CURRENT-CHAR) '+-')) + .(ADVANCE-TOKEN) + (IntegerTok/'+' IntegerTok/'-' IntegerTok +=(MINUS #1)/+0) + /?(IDENTP (CURRENT-SYMBOL)) =(SETQ $1 (FLOATEXPID (CURRENT-SYMBOL))) + .(ADVANCE-TOKEN) +=$1 ; + +Enclosure: '(' ( Expr{6} ')' / ')' +(Tuple) ) + / '{' ( Expr{6} '}' +(brace (construct #1)) / '}' +(brace)) ; + +IntegerTok: NUMBER ; + +FloatTok: NUMBER +=(IF \$BOOT #1 (BFP- #1)) ; + +FormalParameter: FormalParameterTok ; + +FormalParameterTok: ARGUMENT-DESIGNATOR ; + +Quad: '$' +\$ / ?\$BOOT GliphTok{"\.} +\. ; + +String: SPADSTRING ; + +VarForm: Name +#1 ; + +Scripts: ?NONBLANK '[' ScriptItem ']' ; + +ScriptItem: Expr{90} <(';' ScriptItem)* +(\; #2 -#1)> + / ';' ScriptItem +(PrefixSC #1) ; + +Name: IDENTIFIER +#1 ; + +Data: .(SETQ LABLASOC NIL) Sexpr +(QUOTE =(TRANSLABEL #1 LABLASOC)) ; + +Sexpr: .(ADVANCE-TOKEN) Sexpr1 ; + +Sexpr1: AnyId + < NBGliphTok{"\=} Sexpr1 + .(SETQ LABLASOC (CONS (CONS #2 ##1) LABLASOC))> + / '\'' Sexpr1 +(QUOTE #1) + / IntegerTok + / '-' IntegerTok +=(MINUS #1) + / String + / '<' ! '>' +=(LIST2VEC #1) + / '(' >! ')' ; + +NBGliphTok{tok}: ?(AND (MATCH-CURRENT-TOKEN "GLIPH tok) NONBLANK) + .(ADVANCE-TOKEN) ; + +GliphTok{tok}: ?(MATCH-CURRENT-TOKEN "GLIPH tok) .(ADVANCE-TOKEN) ; + +AnyId: IDENTIFIER + / (='$' +=(CURRENT-SYMBOL) .(ADVANCE-TOKEN) / KEYWORD) ; + +Sequence: OpenBracket Sequence1 ']' + / OpenBrace Sequence1 '}' +(brace #1) ; + +Sequence1: (Expression +(#2 #1) / +(#1)) ; + +OpenBracket: =(EQ (getToken (SETQ $1 (CURRENT-SYMBOL))) "\[ ) + (=(EQCAR $1 "elt) +(elt =(CADR $1) construct) + / +construct) .(ADVANCE-TOKEN) ; + +OpenBrace: =(EQ (getToken (SETQ $1 (CURRENT-SYMBOL))) "\{ ) + (=(EQCAR $1 "elt) +(elt =(CADR $1) brace) + / +construct) .(ADVANCE-TOKEN) ; + +IteratorTail: ('repeat' ! / Iterator*) ; + +.FIN ; + +\end{verbatim} +\section{The PARSE code} + +\defvar{tmptok} +\begin{chunk}{initvars} +(defvar |tmptok| nil) + +\end{chunk} + +\defvar{tok} +\begin{chunk}{initvars} +(defvar tok nil) + +\end{chunk} + +\defvar{ParseMode} +\begin{chunk}{initvars} +(defvar |ParseMode| nil) + +\end{chunk} + +\defvar{definition-name} +\begin{chunk}{initvars} +(defvar definition-name nil) + +\end{chunk} + +\defvar{lablasoc} +\begin{chunk}{initvars} +(defvar lablasoc nil) + +\end{chunk} +\defun{PARSE-NewExpr}{PARSE-NewExpr} +\calls{PARSE-NewExpr}{match-string} +\calls{PARSE-NewExpr}{action} +\seebook{PARSE-NewExpr}{processSynonyms}{5} +\calls{PARSE-NewExpr}{must} +\calls{PARSE-NewExpr}{current-symbol} +\calls{PARSE-NewExpr}{PARSE-Statement} +\uses{PARSE-NewExpr}{definition-name} +\begin{chunk}{defun PARSE-NewExpr} +(defun |PARSE-NewExpr| () + (or (and (match-string ")") (action (|processSynonyms|)) + (must (|PARSE-Command|))) + (and (action (setq definition-name (current-symbol))) + (|PARSE-Statement|)))) + +\end{chunk} + +\defun{PARSE-Command}{PARSE-Command} +\calls{PARSE-Command}{match-advance-string} +\calls{PARSE-Command}{must} +\calls{PARSE-Command}{PARSE-SpecialKeyWord} +\calls{PARSE-Command}{PARSE-SpecialCommand} +\calls{PARSE-Command}{push-reduction} +\begin{chunk}{defun PARSE-Command} +(defun |PARSE-Command| () + (and (match-advance-string ")") (must (|PARSE-SpecialKeyWord|)) + (must (|PARSE-SpecialCommand|)) + (push-reduction '|PARSE-Command| nil))) + +\end{chunk} + +\defun{PARSE-SpecialKeyWord}{PARSE-SpecialKeyWord} +\calls{PARSE-SpecialKeyWord}{match-current-token} +\calls{PARSE-SpecialKeyWord}{action} +\calls{PARSE-SpecialKeyWord}{token-symbol} +\calls{PARSE-SpecialKeyWord}{current-token} +\seebook{PARSE-SpecialKeyWord}{unAbbreviateKeyword}{5} +\calls{PARSE-SpecialKeyWord}{current-symbol} +\begin{chunk}{defun PARSE-SpecialKeyWord} +(defun |PARSE-SpecialKeyWord| () + (and (match-current-token 'identifier) + (action (setf (token-symbol (current-token)) + (|unAbbreviateKeyword| (current-symbol)))))) + +\end{chunk} + +\defun{PARSE-SpecialCommand}{PARSE-SpecialCommand} +\calls{PARSE-SpecialCommand}{match-advance-string} +\calls{PARSE-SpecialCommand}{bang} +\calls{PARSE-SpecialCommand}{optional} +\calls{PARSE-SpecialCommand}{PARSE-Expression} +\calls{PARSE-SpecialCommand}{push-reduction} +\calls{PARSE-SpecialCommand}{PARSE-SpecialCommand} +\calls{PARSE-SpecialCommand}{pop-stack-1} +\calls{PARSE-SpecialCommand}{PARSE-CommandTail} +\calls{PARSE-SpecialCommand}{must} +\calls{PARSE-SpecialCommand}{current-symbol} +\calls{PARSE-SpecialCommand}{action} +\calls{PARSE-SpecialCommand}{PARSE-TokenList} +\calls{PARSE-SpecialCommand}{PARSE-TokenCommandTail} +\calls{PARSE-SpecialCommand}{star} +\calls{PARSE-SpecialCommand}{PARSE-PrimaryOrQM} +\calls{PARSE-SpecialCommand}{PARSE-CommandTail} +\refsdollar{PARSE-SpecialCommand}{noParseCommands} +\refsdollar{PARSE-SpecialCommand}{tokenCommands} +\begin{chunk}{defun PARSE-SpecialCommand} +(defun |PARSE-SpecialCommand| () + (declare (special |$noParseCommands| |$tokenCommands|)) + (or (and (match-advance-string "show") + (bang fil_test + (optional + (or (match-advance-string "?") + (|PARSE-Expression|)))) + (push-reduction '|PARSE-SpecialCommand| + (list '|show| (pop-stack-1))) + (must (|PARSE-CommandTail|))) + (and (member (current-symbol) |$noParseCommands|) + (action (funcall (current-symbol)))) + (and (member (current-symbol) |$tokenCommands|) + (|PARSE-TokenList|) (must (|PARSE-TokenCommandTail|))) + (and (star repeator (|PARSE-PrimaryOrQM|)) + (must (|PARSE-CommandTail|))))) + +\end{chunk} + +\defun{PARSE-TokenCommandTail}{PARSE-TokenCommandTail} +\calls{PARSE-TokenCommandTail}{bang} +\calls{PARSE-TokenCommandTail}{optional} +\calls{PARSE-TokenCommandTail}{star} +\calls{PARSE-TokenCommandTail}{PARSE-TokenOption} +\calls{PARSE-TokenCommandTail}{atEndOfLine} +\calls{PARSE-TokenCommandTail}{push-reduction} +\calls{PARSE-TokenCommandTail}{PARSE-TokenCommandTail} +\calls{PARSE-TokenCommandTail}{pop-stack-2} +\calls{PARSE-TokenCommandTail}{pop-stack-1} +\calls{PARSE-TokenCommandTail}{action} +\seebook{PARSE-TokenCommandTail}{systemCommand}{5} +\begin{chunk}{defun PARSE-TokenCommandTail} +(defun |PARSE-TokenCommandTail| () + (and (bang fil_test (optional (star repeator (|PARSE-TokenOption|)))) + (|atEndOfLine|) + (push-reduction '|PARSE-TokenCommandTail| + (cons (pop-stack-2) (append (pop-stack-1) nil))) + (action (|systemCommand| (pop-stack-1))))) + +\end{chunk} + + +\defun{PARSE-TokenOption}{PARSE-TokenOption} +\calls{PARSE-TokenOption}{match-advance-string} +\calls{PARSE-TokenOption}{must} +\calls{PARSE-TokenOption}{PARSE-TokenList} +\begin{chunk}{defun PARSE-TokenOption} +(defun |PARSE-TokenOption| () + (and (match-advance-string ")") (must (|PARSE-TokenList|)))) + +\end{chunk} + +\defun{PARSE-TokenList}{PARSE-TokenList} +\calls{PARSE-TokenList}{star} +\calls{PARSE-TokenList}{isTokenDelimiter} +\calls{PARSE-TokenList}{push-reduction} +\calls{PARSE-TokenList}{current-symbol} +\calls{PARSE-TokenList}{action} +\calls{PARSE-TokenList}{advance-token} +\begin{chunk}{defun PARSE-TokenList} +(defun |PARSE-TokenList| () + (star repeator + (and (not (|isTokenDelimiter|)) + (push-reduction '|PARSE-TokenList| (current-symbol)) + (action (advance-token))))) + +\end{chunk} + +\defun{PARSE-CommandTail}{PARSE-CommandTail} +\calls{PARSE-CommandTail}{bang} +\calls{PARSE-CommandTail}{optional} +\calls{PARSE-CommandTail}{star} +\calls{PARSE-CommandTail}{push-reduction} +\calls{PARSE-CommandTail}{PARSE-Option} +\calls{PARSE-CommandTail}{PARSE-CommandTail} +\calls{PARSE-CommandTail}{pop-stack-2} +\calls{PARSE-CommandTail}{pop-stack-1} +\calls{PARSE-CommandTail}{action} +\seebook{PARSE-CommandTail}{systemCommand}{5} +\begin{chunk}{defun PARSE-CommandTail} +(defun |PARSE-CommandTail| () + (and (bang fil_test (optional (star repeator (|PARSE-Option|)))) + (|atEndOfLine|) + (push-reduction '|PARSE-CommandTail| + (cons (pop-stack-2) (append (pop-stack-1) nil))) + (action (|systemCommand| (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-PrimaryOrQM}{PARSE-PrimaryOrQM} +\calls{PARSE-PrimaryOrQM}{match-advance-string} +\calls{PARSE-PrimaryOrQM}{push-reduction} +\calls{PARSE-PrimaryOrQM}{PARSE-PrimaryOrQM} +\calls{PARSE-PrimaryOrQM}{PARSE-Primary} +\begin{chunk}{defun PARSE-PrimaryOrQM} +(defun |PARSE-PrimaryOrQM| () + (or (and (match-advance-string "?") + (push-reduction '|PARSE-PrimaryOrQM| '?)) + (|PARSE-Primary|))) + +\end{chunk} + +\defun{PARSE-Option}{PARSE-Option} +\calls{PARSE-Option}{match-advance-string} +\calls{PARSE-Option}{must} +\calls{PARSE-Option}{star} +\calls{PARSE-Option}{PARSE-PrimaryOrQM} +\begin{chunk}{defun PARSE-Option} +(defun |PARSE-Option| () + (and (match-advance-string ")") + (must (star repeator (|PARSE-PrimaryOrQM|))))) + +\end{chunk} + +\defun{PARSE-Statement}{PARSE-Statement} +\calls{PARSE-Statement}{PARSE-Expr} +\calls{PARSE-Statement}{optional} +\calls{PARSE-Statement}{star} +\calls{PARSE-Statement}{match-advance-string} +\calls{PARSE-Statement}{must} +\calls{PARSE-Statement}{push-reduction} +\calls{PARSE-Statement}{pop-stack-2} +\calls{PARSE-Statement}{pop-stack-1} +\begin{chunk}{defun PARSE-Statement} +(defun |PARSE-Statement| () + (and (|PARSE-Expr| 0) + (optional + (and (star repeator + (and (match-advance-string ",") + (must (|PARSE-Expr| 0)))) + (push-reduction '|PARSE-Statement| + (cons '|Series| + (cons (pop-stack-2) + (append (pop-stack-1) nil)))))))) + +\end{chunk} + +\defun{PARSE-InfixWith}{PARSE-InfixWith} +\calls{PARSE-InfixWith}{PARSE-With} +\calls{PARSE-InfixWith}{push-reduction} +\calls{PARSE-InfixWith}{pop-stack-2} +\calls{PARSE-InfixWith}{pop-stack-1} +\begin{chunk}{defun PARSE-InfixWith} +(defun |PARSE-InfixWith| () + (and (|PARSE-With|) + (push-reduction '|PARSE-InfixWith| + (list '|Join| (pop-stack-2) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-With}{PARSE-With} +\calls{PARSE-With}{match-advance-string} +\calls{PARSE-With}{must} +\calls{PARSE-With}{push-reduction} +\calls{PARSE-With}{pop-stack-1} +\begin{chunk}{defun PARSE-With} +(defun |PARSE-With| () + (and (match-advance-string "with") (must (|PARSE-Category|)) + (push-reduction '|PARSE-With| + (cons '|with| (cons (pop-stack-1) nil))))) + +\end{chunk} + +\defun{PARSE-Category}{PARSE-Category} +\calls{PARSE-Category}{match-advance-string} +\calls{PARSE-Category}{must} +\calls{PARSE-Category}{bang} +\calls{PARSE-Category}{optional} +\calls{PARSE-Category}{push-reduction} +\calls{PARSE-Category}{PARSE-Expression} +\calls{PARSE-Category}{PARSE-Category} +\calls{PARSE-Category}{pop-stack-3} +\calls{PARSE-Category}{pop-stack-2} +\calls{PARSE-Category}{pop-stack-1} +\calls{PARSE-Category}{star} +\calls{PARSE-Category}{line-number} +\calls{PARSE-Category}{PARSE-Application} +\calls{PARSE-Category}{action} +\calls{PARSE-Category}{recordSignatureDocumentation} +\calls{PARSE-Category}{nth-stack} +\calls{PARSE-Category}{recordAttributeDocumentation} +\uses{PARSE-Category}{current-line} +\begin{chunk}{defun PARSE-Category} +(defun |PARSE-Category| () + (let (g1) + (or (and (match-advance-string "if") (must (|PARSE-Expression|)) + (must (match-advance-string "then")) + (must (|PARSE-Category|)) + (bang fil_test + (optional + (and (match-advance-string "else") + (must (|PARSE-Category|))))) + (push-reduction '|PARSE-Category| + (list '|if| (pop-stack-3) (pop-stack-2) (pop-stack-1)))) + (and (match-advance-string "(") (must (|PARSE-Category|)) + (bang fil_test + (optional + (star repeator + (and (match-advance-string ";") + (must (|PARSE-Category|)))))) + (must (match-advance-string ")")) + (push-reduction '|PARSE-Category| + (cons 'category + (cons (pop-stack-2) + (append (pop-stack-1) nil))))) + (and (action (setq g1 (line-number current-line))) + (|PARSE-Application|) + (must (or (and (match-advance-string ":") + (must (|PARSE-Expression|)) + (push-reduction '|PARSE-Category| + (list '|Signature| (pop-stack-2) (pop-stack-1) )) + (action (|recordSignatureDocumentation| + (nth-stack 1) g1))) + (and (push-reduction '|PARSE-Category| + (list '|Attribute| (pop-stack-1) )) + (action (|recordAttributeDocumentation| + (nth-stack 1) g1))))))))) + +\end{chunk} + +\defun{PARSE-Expression}{PARSE-Expression} +\calls{PARSE-Expression}{PARSE-Expr} +\calls{PARSE-Expression}{PARSE-rightBindingPowerOf} +\calls{PARSE-Expression}{make-symbol-of} +\calls{PARSE-Expression}{push-reduction} +\calls{PARSE-Expression}{pop-stack-1} +\uses{PARSE-Expression}{ParseMode} +\uses{PARSE-Expression}{prior-token} +\begin{chunk}{defun PARSE-Expression} +(defun |PARSE-Expression| () + (declare (special prior-token)) + (and (|PARSE-Expr| + (|PARSE-rightBindingPowerOf| (make-symbol-of prior-token) + |ParseMode|)) + (push-reduction '|PARSE-Expression| (pop-stack-1)))) + +\end{chunk} + +\defun{PARSE-Import}{PARSE-Import} +\calls{PARSE-Import}{match-advance-string} +\calls{PARSE-Import}{must} +\calls{PARSE-Import}{PARSE-Expr} +\calls{PARSE-Import}{bang} +\calls{PARSE-Import}{optional} +\calls{PARSE-Import}{star} +\calls{PARSE-Import}{push-reduction} +\calls{PARSE-Import}{pop-stack-2} +\calls{PARSE-Import}{pop-stack-1} +\begin{chunk}{defun PARSE-Import} +(defun |PARSE-Import| () + (and (match-advance-string "import") (must (|PARSE-Expr| 1000)) + (bang fil_test + (optional + (star repeator + (and (match-advance-string ",") + (must (|PARSE-Expr| 1000)))))) + (push-reduction '|PARSE-Import| + (cons '|import| + (cons (pop-stack-2) (append (pop-stack-1) nil)))))) + +\end{chunk} + +\defun{PARSE-Expr}{PARSE-Expr} +\calls{PARSE-Expr}{PARSE-NudPart} +\calls{PARSE-Expr}{PARSE-LedPart} +\calls{PARSE-Expr}{optional} +\calls{PARSE-Expr}{star} +\calls{PARSE-Expr}{push-reduction} +\calls{PARSE-Expr}{pop-stack-1} +\begin{chunk}{defun PARSE-Expr} +(defun |PARSE-Expr| (rbp) + (declare (special rbp)) + (and (|PARSE-NudPart| rbp) + (optional (star opt_expr (|PARSE-LedPart| rbp))) + (push-reduction '|PARSE-Expr| (pop-stack-1)))) + +\end{chunk} + +\defun{PARSE-LedPart}{PARSE-LedPart} +\calls{PARSE-LedPart}{PARSE-Operation} +\calls{PARSE-LedPart}{push-reduction} +\calls{PARSE-LedPart}{pop-stack-1} +\begin{chunk}{defun PARSE-LedPart} +(defun |PARSE-LedPart| (rbp) + (declare (special rbp)) + (and (|PARSE-Operation| '|Led| rbp) + (push-reduction '|PARSE-LedPart| (pop-stack-1)))) + +\end{chunk} + +\defun{PARSE-NudPart}{PARSE-NudPart} +\calls{PARSE-NudPart}{PARSE-Operation} +\calls{PARSE-NudPart}{PARSE-Reduction} +\calls{PARSE-NudPart}{PARSE-Form} +\calls{PARSE-NudPart}{push-reduction} +\calls{PARSE-NudPart}{pop-stack-1} +\uses{PARSE-NudPart}{rbp} +\begin{chunk}{defun PARSE-NudPart} +(defun |PARSE-NudPart| (rbp) + (declare (special rbp)) + (and (or (|PARSE-Operation| '|Nud| rbp) (|PARSE-Reduction|) + (|PARSE-Form|)) + (push-reduction '|PARSE-NudPart| (pop-stack-1)))) + +\end{chunk} + +\defun{PARSE-Operation}{PARSE-Operation} +\calls{PARSE-Operation}{match-current-token} +\calls{PARSE-Operation}{current-symbol} +\calls{PARSE-Operation}{PARSE-leftBindingPowerOf} +\calls{PARSE-Operation}{lt} +\calls{PARSE-Operation}{getl} +\calls{PARSE-Operation}{action} +\calls{PARSE-Operation}{PARSE-rightBindingPowerOf} +\calls{PARSE-Operation}{PARSE-getSemanticForm} +\calls{PARSE-Operation}{elemn} +\uses{PARSE-Operation}{ParseMode} +\uses{PARSE-Operation}{rbp} +\uses{PARSE-Operation}{tmptok} +\begin{chunk}{defun PARSE-Operation} +(defun |PARSE-Operation| (|ParseMode| rbp) + (declare (special |ParseMode| rbp |tmptok|)) + (and (not (match-current-token 'identifier)) + (getl (setq |tmptok| (current-symbol)) |ParseMode|) + (lt rbp (|PARSE-leftBindingPowerOf| |tmptok| |ParseMode|)) + (action (setq rbp (|PARSE-rightBindingPowerOf| |tmptok| |ParseMode|))) + (|PARSE-getSemanticForm| |tmptok| |ParseMode| + (elemn (getl |tmptok| |ParseMode|) 5 nil)))) + +\end{chunk} + +\defun{PARSE-leftBindingPowerOf}{PARSE-leftBindingPowerOf} +\calls{PARSE-leftBindingPowerOf}{getl} +\calls{PARSE-leftBindingPowerOf}{elemn} +\begin{chunk}{defun PARSE-leftBindingPowerOf} +(defun |PARSE-leftBindingPowerOf| (x ind) + (declare (special x ind)) + (let ((y (getl x ind))) (if y (elemn y 3 0) 0))) + +\end{chunk} + +\defun{PARSE-rightBindingPowerOf}{PARSE-rightBindingPowerOf} +\calls{PARSE-rightBindingPowerOf}{getl} +\calls{PARSE-rightBindingPowerOf}{elemn} +\begin{chunk}{defun PARSE-rightBindingPowerOf} +(defun |PARSE-rightBindingPowerOf| (x ind) + (declare (special x ind)) + (let ((y (getl x ind))) (if y (elemn y 4 105) 105))) + +\end{chunk} + +\defun{PARSE-getSemanticForm}{PARSE-getSemanticForm} +\calls{PARSE-getSemanticForm}{PARSE-Prefix} +\calls{PARSE-getSemanticForm}{PARSE-Infix} +\begin{chunk}{defun PARSE-getSemanticForm} +(defun |PARSE-getSemanticForm| (x ind y) + (declare (special x ind y)) + (or (and y (eval y)) (and (eq ind '|Nud|) (|PARSE-Prefix|)) + (and (eq ind '|Led|) (|PARSE-Infix|)))) + +\end{chunk} + +\defun{PARSE-Prefix}{PARSE-Prefix} +\calls{PARSE-Prefix}{push-reduction} +\calls{PARSE-Prefix}{current-symbol} +\calls{PARSE-Prefix}{action} +\calls{PARSE-Prefix}{advance-token} +\calls{PARSE-Prefix}{optional} +\calls{PARSE-Prefix}{PARSE-TokTail} +\calls{PARSE-Prefix}{must} +\calls{PARSE-Prefix}{PARSE-Expression} +\calls{PARSE-Prefix}{push-reduction} +\calls{PARSE-Prefix}{pop-stack-2} +\calls{PARSE-Prefix}{pop-stack-1} +\begin{chunk}{defun PARSE-Prefix} +(defun |PARSE-Prefix| () + (and (push-reduction '|PARSE-Prefix| (current-symbol)) + (action (advance-token)) (optional (|PARSE-TokTail|)) + (must (|PARSE-Expression|)) + (push-reduction '|PARSE-Prefix| + (list (pop-stack-2) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-Infix}{PARSE-Infix} +\calls{PARSE-Infix}{push-reduction} +\calls{PARSE-Infix}{current-symbol} +\calls{PARSE-Infix}{action} +\calls{PARSE-Infix}{advance-token} +\calls{PARSE-Infix}{optional} +\calls{PARSE-Infix}{PARSE-TokTail} +\calls{PARSE-Infix}{must} +\calls{PARSE-Infix}{PARSE-Expression} +\calls{PARSE-Infix}{pop-stack-2} +\calls{PARSE-Infix}{pop-stack-1} +\begin{chunk}{defun PARSE-Infix} +(defun |PARSE-Infix| () + (and (push-reduction '|PARSE-Infix| (current-symbol)) + (action (advance-token)) (optional (|PARSE-TokTail|)) + (must (|PARSE-Expression|)) + (push-reduction '|PARSE-Infix| + (list (pop-stack-2) (pop-stack-2) (pop-stack-1) )))) + +\end{chunk} + +\defun{PARSE-TokTail}{PARSE-TokTail} +\calls{PARSE-TokTail}{current-symbol} +\calls{PARSE-TokTail}{current-char} +\calls{PARSE-TokTail}{char-eq} +\calls{PARSE-TokTail}{copy-token} +\calls{PARSE-TokTail}{action} +\calls{PARSE-TokTail}{PARSE-Qualification} +\usesdollar{PARSE-TokTail}{boot} +\begin{chunk}{defun PARSE-TokTail} +(defun |PARSE-TokTail| () + (let (g1) + (and (null $boot) (eq (current-symbol) '$) + (or (alpha-char-p (current-char)) + (char-eq (current-char) "$") + (char-eq (current-char) "%") + (char-eq (current-char) "(")) + (action (setq g1 (copy-token prior-token))) + (|PARSE-Qualification|) (action (setq prior-token g1))))) + +\end{chunk} + +\defun{PARSE-Qualification}{PARSE-Qualification} +\calls{PARSE-Qualification}{match-advance-string} +\calls{PARSE-Qualification}{must} +\calls{PARSE-Qualification}{PARSE-Primary1} +\calls{PARSE-Qualification}{push-reduction} +\calls{PARSE-Qualification}{dollarTran} +\calls{PARSE-Qualification}{pop-stack-1} +\begin{chunk}{defun PARSE-Qualification} +(defun |PARSE-Qualification| () + (and (match-advance-string "$") (must (|PARSE-Primary1|)) + (push-reduction '|PARSE-Qualification| + (|dollarTran| (pop-stack-1) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-Reduction}{PARSE-Reduction} +\calls{PARSE-Reduction}{PARSE-ReductionOp} +\calls{PARSE-Reduction}{must} +\calls{PARSE-Reduction}{PARSE-Expr} +\calls{PARSE-Reduction}{push-reduction} +\calls{PARSE-Reduction}{pop-stack-2} +\calls{PARSE-Reduction}{pop-stack-1} +\begin{chunk}{defun PARSE-Reduction} +(defun |PARSE-Reduction| () + (and (|PARSE-ReductionOp|) (must (|PARSE-Expr| 1000)) + (push-reduction '|PARSE-Reduction| + (list '|Reduce| (pop-stack-2) (pop-stack-1) )))) + +\end{chunk} + +\defun{PARSE-ReductionOp}{PARSE-ReductionOp} +\calls{PARSE-ReductionOp}{getl} +\calls{PARSE-ReductionOp}{current-symbol} +\calls{PARSE-ReductionOp}{match-next-token} +\calls{PARSE-ReductionOp}{action} +\calls{PARSE-ReductionOp}{advance-token} +\begin{chunk}{defun PARSE-ReductionOp} +(defun |PARSE-ReductionOp| () + (and (getl (current-symbol) '|Led|) + (match-next-token 'special-char (code-char 47)) + (push-reduction '|PARSE-ReductionOp| (current-symbol)) + (action (advance-token)) (action (advance-token)))) + +\end{chunk} + +\defun{PARSE-Form}{PARSE-Form} +\calls{PARSE-Form}{match-advance-string} +\calls{PARSE-Form}{bang} +\calls{PARSE-Form}{optional} +\calls{PARSE-Form}{must} +\calls{PARSE-Form}{push-reduction} +\calls{PARSE-Form}{pop-stack-1} +\calls{PARSE-Form}{PARSE-Application} +\begin{chunk}{defun PARSE-Form} +(defun |PARSE-Form| () + (or (and (match-advance-string "iterate") + (bang fil_test + (optional + (and (match-advance-string "from") + (must (|PARSE-Label|)) + (push-reduction '|PARSE-Form| + (list (pop-stack-1)))))) + (push-reduction '|PARSE-Form| + (cons '|iterate| (append (pop-stack-1) nil)))) + (and (match-advance-string "yield") (must (|PARSE-Application|)) + (push-reduction '|PARSE-Form| + (list '|yield| (pop-stack-1)))) + (|PARSE-Application|))) + +\end{chunk} + +\defun{PARSE-Application}{PARSE-Application} +\calls{PARSE-Application}{PARSE-Primary} +\calls{PARSE-Application}{optional} +\calls{PARSE-Application}{star} +\calls{PARSE-Application}{PARSE-Selector} +\calls{PARSE-Application}{PARSE-Application} +\calls{PARSE-Application}{push-reduction} +\calls{PARSE-Application}{pop-stack-2} +\calls{PARSE-Application}{pop-stack-1} +\begin{chunk}{defun PARSE-Application} +(defun |PARSE-Application| () + (and (|PARSE-Primary|) (optional (star opt_expr (|PARSE-Selector|))) + (optional + (and (|PARSE-Application|) + (push-reduction '|PARSE-Application| + (list (pop-stack-2) (pop-stack-1))))))) + +\end{chunk} + +\defun{PARSE-Label}{PARSE-Label} +\calls{PARSE-Label}{match-advance-string} +\calls{PARSE-Label}{must} +\calls{PARSE-Label}{PARSE-Name} +\begin{chunk}{defun PARSE-Label} +(defun |PARSE-Label| () + (and (match-advance-string "<<") (must (|PARSE-Name|)) + (must (match-advance-string ">>")))) + +\end{chunk} + +\defun{PARSE-Selector}{PARSE-Selector} +\calls{PARSE-Selector}{current-symbol} +\calls{PARSE-Selector}{char-ne} +\calls{PARSE-Selector}{current-char} +\calls{PARSE-Selector}{match-advance-string} +\calls{PARSE-Selector}{must} +\calls{PARSE-Selector}{PARSE-PrimaryNoFloat} +\calls{PARSE-Selector}{push-reduction} +\calls{PARSE-Selector}{pop-stack-2} +\calls{PARSE-Selector}{pop-stack-1} +\calls{PARSE-Selector}{PARSE-Float} +\calls{PARSE-Selector}{PARSE-Primary} +\usesdollar{PARSE-Selector}{boot} +\begin{chunk}{defun PARSE-Selector} +(defun |PARSE-Selector| () + (declare (special $boot)) + (or (and nonblank (eq (current-symbol) '|.|) + (char-ne (current-char) '| |) (match-advance-string ".") + (must (|PARSE-PrimaryNoFloat|)) + (must (or (and $boot + (push-reduction '|PARSE-Selector| + (list 'elt (pop-stack-2) (pop-stack-1)))) + (push-reduction '|PARSE-Selector| + (list (pop-stack-2) (pop-stack-1)))))) + (and (or (|PARSE-Float|) + (and (match-advance-string ".") + (must (|PARSE-Primary|)))) + (must (or (and $boot + (push-reduction '|PARSE-Selector| + (list 'elt (pop-stack-2) (pop-stack-1)))) + (push-reduction '|PARSE-Selector| + (list (pop-stack-2) (pop-stack-1)))))))) + +\end{chunk} + +\defun{PARSE-PrimaryNoFloat}{PARSE-PrimaryNoFloat} +\calls{PARSE-PrimaryNoFloat}{PARSE-Primary1} +\calls{PARSE-PrimaryNoFloat}{optional} +\calls{PARSE-PrimaryNoFloat}{PARSE-TokTail} +\begin{chunk}{defun PARSE-PrimaryNoFloat} +(defun |PARSE-PrimaryNoFloat| () + (and (|PARSE-Primary1|) (optional (|PARSE-TokTail|)))) + +\end{chunk} + +\defun{PARSE-Primary}{PARSE-Primary} +\calls{PARSE-Primary}{PARSE-Float} \calls{PARSE-Primary}{PARSE-PrimaryNoFloat} \begin{chunk}{defun PARSE-Primary} (defun |PARSE-Primary| () @@ -10533,1282 +17864,3425 @@ \end{chunk} -\defun{PARSE-Primary1}{PARSE-Primary1} -\calls{PARSE-Primary1}{PARSE-VarForm} -\calls{PARSE-Primary1}{optional} -\calls{PARSE-Primary1}{current-symbol} -\calls{PARSE-Primary1}{PARSE-Primary1} -\calls{PARSE-Primary1}{must} -\calls{PARSE-Primary1}{pop-stack-2} -\calls{PARSE-Primary1}{pop-stack-1} -\calls{PARSE-Primary1}{push-reduction} -\calls{PARSE-Primary1}{PARSE-Quad} -\calls{PARSE-Primary1}{PARSE-String} -\calls{PARSE-Primary1}{PARSE-IntegerTok} -\calls{PARSE-Primary1}{PARSE-FormalParameter} -\calls{PARSE-Primary1}{match-string} -\calls{PARSE-Primary1}{PARSE-Data} -\calls{PARSE-Primary1}{match-advance-string} -\calls{PARSE-Primary1}{PARSE-Expr} -\calls{PARSE-Primary1}{PARSE-Sequence} -\calls{PARSE-Primary1}{PARSE-Enclosure} -\usesdollar{PARSE-Primary1}{boot} -\begin{chunk}{defun PARSE-Primary1} -(defun |PARSE-Primary1| () - (or (and (|PARSE-VarForm|) - (optional - (and nonblank (eq (current-symbol) '|(|) - (must (|PARSE-Primary1|)) - (push-reduction '|PARSE-Primary1| - (list (pop-stack-2) (pop-stack-1)))))) - (|PARSE-Quad|) (|PARSE-String|) (|PARSE-IntegerTok|) - (|PARSE-FormalParameter|) - (and (match-string "'") - (must (or (and $boot (|PARSE-Data|)) - (and (match-advance-string "'") - (must (|PARSE-Expr| 999)) - (push-reduction '|PARSE-Primary1| - (list 'quote (pop-stack-1))))))) - (|PARSE-Sequence|) (|PARSE-Enclosure|)))) +\defun{PARSE-Primary1}{PARSE-Primary1} +\calls{PARSE-Primary1}{PARSE-VarForm} +\calls{PARSE-Primary1}{optional} +\calls{PARSE-Primary1}{current-symbol} +\calls{PARSE-Primary1}{PARSE-Primary1} +\calls{PARSE-Primary1}{must} +\calls{PARSE-Primary1}{pop-stack-2} +\calls{PARSE-Primary1}{pop-stack-1} +\calls{PARSE-Primary1}{push-reduction} +\calls{PARSE-Primary1}{PARSE-Quad} +\calls{PARSE-Primary1}{PARSE-String} +\calls{PARSE-Primary1}{PARSE-IntegerTok} +\calls{PARSE-Primary1}{PARSE-FormalParameter} +\calls{PARSE-Primary1}{match-string} +\calls{PARSE-Primary1}{PARSE-Data} +\calls{PARSE-Primary1}{match-advance-string} +\calls{PARSE-Primary1}{PARSE-Expr} +\calls{PARSE-Primary1}{PARSE-Sequence} +\calls{PARSE-Primary1}{PARSE-Enclosure} +\refsdollar{PARSE-Primary1}{boot} +\begin{chunk}{defun PARSE-Primary1} +(defun |PARSE-Primary1| () + (declare (special $boot)) + (or (and (|PARSE-VarForm|) + (optional + (and nonblank (eq (current-symbol) '|(|) + (must (|PARSE-Primary1|)) + (push-reduction '|PARSE-Primary1| + (list (pop-stack-2) (pop-stack-1)))))) + (|PARSE-Quad|) (|PARSE-String|) (|PARSE-IntegerTok|) + (|PARSE-FormalParameter|) + (and (match-string "'") + (must (or (and $boot (|PARSE-Data|)) + (and (match-advance-string "'") + (must (|PARSE-Expr| 999)) + (push-reduction '|PARSE-Primary1| + (list 'quote (pop-stack-1))))))) + (|PARSE-Sequence|) (|PARSE-Enclosure|)))) + +\end{chunk} + +\defun{PARSE-Float}{PARSE-Float} +\calls{PARSE-Float}{PARSE-FloatBase} +\calls{PARSE-Float}{must} +\calls{PARSE-Float}{PARSE-FloatExponent} +\calls{PARSE-Float}{push-reduction} +\calls{PARSE-Float}{make-float} +\calls{PARSE-Float}{pop-stack-4} +\calls{PARSE-Float}{pop-stack-3} +\calls{PARSE-Float}{pop-stack-2} +\calls{PARSE-Float}{pop-stack-1} +\begin{chunk}{defun PARSE-Float} +(defun |PARSE-Float| () + (and (|PARSE-FloatBase|) + (must (or (and nonblank (|PARSE-FloatExponent|)) + (push-reduction '|PARSE-Float| 0))) + (push-reduction '|PARSE-Float| + (make-float (pop-stack-4) (pop-stack-2) (pop-stack-2) + (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-FloatBase}{PARSE-FloatBase} +\calls{PARSE-FloatBase}{current-symbol} +\calls{PARSE-FloatBase}{char-eq} +\calls{PARSE-FloatBase}{current-char} +\calls{PARSE-FloatBase}{char-ne} +\calls{PARSE-FloatBase}{next-char} +\calls{PARSE-FloatBase}{PARSE-IntegerTok} +\calls{PARSE-FloatBase}{must} +\calls{PARSE-FloatBase}{PARSE-FloatBasePart} +\calls{PARSE-FloatBase}{PARSE-IntegerTok} +\calls{PARSE-FloatBase}{push-reduction} +\seebook{PARSE-FloatBase}{digitp}{5} +\begin{chunk}{defun PARSE-FloatBase} +(defun |PARSE-FloatBase| () + (or (and (integerp (current-symbol)) (char-eq (current-char) ".") + (char-ne (next-char) ".") (|PARSE-IntegerTok|) + (must (|PARSE-FloatBasePart|))) + (and (integerp (current-symbol)) + (char-eq (char-upcase (current-char)) 'e) + (|PARSE-IntegerTok|) (push-reduction '|PARSE-FloatBase| 0) + (push-reduction '|PARSE-FloatBase| 0)) + (and (digitp (current-char)) (eq (current-symbol) '|.|) + (push-reduction '|PARSE-FloatBase| 0) + (|PARSE-FloatBasePart|)))) + +\end{chunk} + +\defun{PARSE-FloatBasePart}{PARSE-FloatBasePart} +\calls{PARSE-FloatBasePart}{match-advance-string} +\calls{PARSE-FloatBasePart}{must} +\seebook{PARSE-FloatBasePart}{digitp}{5} +\calls{PARSE-FloatBasePart}{current-char} +\calls{PARSE-FloatBasePart}{push-reduction} +\calls{PARSE-FloatBasePart}{token-nonblank} +\calls{PARSE-FloatBasePart}{current-token} +\calls{PARSE-FloatBasePart}{PARSE-IntegerTok} +\begin{chunk}{defun PARSE-FloatBasePart} +(defun |PARSE-FloatBasePart| () + (and (match-advance-string ".") + (must (or (and (digitp (current-char)) + (push-reduction '|PARSE-FloatBasePart| + (token-nonblank (current-token))) + (|PARSE-IntegerTok|)) + (and (push-reduction '|PARSE-FloatBasePart| 0) + (push-reduction '|PARSE-FloatBasePart| 0)))))) + +\end{chunk} + +\defun{PARSE-FloatExponent}{PARSE-FloatExponent} +\calls{PARSE-FloatExponent}{current-symbol} +\calls{PARSE-FloatExponent}{current-char} +\calls{PARSE-FloatExponent}{action} +\calls{PARSE-FloatExponent}{advance-token} +\calls{PARSE-FloatExponent}{PARSE-IntegerTok} +\calls{PARSE-FloatExponent}{match-advance-string} +\calls{PARSE-FloatExponent}{must} +\calls{PARSE-FloatExponent}{push-reduction} +\seebook{PARSE-FloatExponent}{identp}{5} +\calls{PARSE-FloatExponent}{floatexpid} +\begin{chunk}{defun PARSE-FloatExponent} +(defun |PARSE-FloatExponent| () + (let (g1) + (or (and (member (current-symbol) '(e |e|)) + (find (current-char) "+-") (action (advance-token)) + (must (or (|PARSE-IntegerTok|) + (and (match-advance-string "+") + (must (|PARSE-IntegerTok|))) + (and (match-advance-string "-") + (must (|PARSE-IntegerTok|)) + (push-reduction '|PARSE-FloatExponent| + (- (pop-stack-1)))) + (push-reduction '|PARSE-FloatExponent| 0)))) + (and (identp (current-symbol)) + (setq g1 (floatexpid (current-symbol))) + (action (advance-token)) + (push-reduction '|PARSE-FloatExponent| g1))))) + +\end{chunk} + +\defun{PARSE-Enclosure}{PARSE-Enclosure} +\calls{PARSE-Enclosure}{match-advance-string} +\calls{PARSE-Enclosure}{must} +\calls{PARSE-Enclosure}{PARSE-Expr} +\calls{PARSE-Enclosure}{push-reduction} +\calls{PARSE-Enclosure}{pop-stack-1} +\begin{chunk}{defun PARSE-Enclosure} +(defun |PARSE-Enclosure| () + (or (and (match-advance-string "(") + (must (or (and (|PARSE-Expr| 6) + (must (match-advance-string ")"))) + (and (match-advance-string ")") + (push-reduction '|PARSE-Enclosure| + (list '|@Tuple|)))))) + (and (match-advance-string "{") + (must (or (and (|PARSE-Expr| 6) + (must (match-advance-string "}")) + (push-reduction '|PARSE-Enclosure| + (cons '|brace| + (list (list '|construct| (pop-stack-1)))))) + (and (match-advance-string "}") + (push-reduction '|PARSE-Enclosure| + (list '|brace|)))))))) + +\end{chunk} + +\defun{PARSE-IntegerTok}{PARSE-IntegerTok} +\calls{PARSE-IntegerTok}{parse-number} +\begin{chunk}{defun PARSE-IntegerTok} +(defun |PARSE-IntegerTok| () (parse-number)) + +\end{chunk} + +\defun{PARSE-FormalParameter}{PARSE-FormalParameter} +\calls{PARSE-FormalParameter}{PARSE-FormalParameterTok} +\begin{chunk}{defun PARSE-FormalParameter} +(defun |PARSE-FormalParameter| () (|PARSE-FormalParameterTok|)) + +\end{chunk} + +\defun{PARSE-FormalParameterTok}{PARSE-FormalParameterTok} +\calls{PARSE-FormalParameterTok}{parse-argument-designator} +\begin{chunk}{defun PARSE-FormalParameterTok} +(defun |PARSE-FormalParameterTok| () (parse-argument-designator)) + +\end{chunk} + +\defun{PARSE-Quad}{PARSE-Quad} +\calls{PARSE-Quad}{match-advance-string} +\calls{PARSE-Quad}{push-reduction} +\calls{PARSE-Quad}{PARSE-GliphTok} +\usesdollar{PARSE-Quad}{boot} +\begin{chunk}{defun PARSE-Quad} +(defun |PARSE-Quad| () + (or (and (match-advance-string "$") + (push-reduction '|PARSE-Quad| '$)) + (and $boot (|PARSE-GliphTok| '|.|) + (push-reduction '|PARSE-Quad| '|.|)))) + +\end{chunk} + +\defun{PARSE-String}{PARSE-String} +\calls{PARSE-String}{parse-spadstring} +\begin{chunk}{defun PARSE-String} +(defun |PARSE-String| () (parse-spadstring)) + +\end{chunk} + +\defun{PARSE-VarForm}{PARSE-VarForm} +\calls{PARSE-VarForm}{PARSE-Name} +\calls{PARSE-VarForm}{optional} +\calls{PARSE-VarForm}{PARSE-Scripts} +\calls{PARSE-VarForm}{push-reduction} +\calls{PARSE-VarForm}{pop-stack-2} +\calls{PARSE-VarForm}{pop-stack-1} +\begin{chunk}{defun PARSE-VarForm} +(defun |PARSE-VarForm| () + (and (|PARSE-Name|) + (optional + (and (|PARSE-Scripts|) + (push-reduction '|PARSE-VarForm| + (list '|Scripts| (pop-stack-2) (pop-stack-1))))) + (push-reduction '|PARSE-VarForm| (pop-stack-1)))) + +\end{chunk} + +\defun{PARSE-Scripts}{PARSE-Scripts} +\calls{PARSE-Scripts}{match-advance-string} +\calls{PARSE-Scripts}{must} +\calls{PARSE-Scripts}{PARSE-ScriptItem} +\begin{chunk}{defun PARSE-Scripts} +(defun |PARSE-Scripts| () + (and nonblank (match-advance-string "[") (must (|PARSE-ScriptItem|)) + (must (match-advance-string "]")))) + +\end{chunk} + +\defun{PARSE-ScriptItem}{PARSE-ScriptItem} +\calls{PARSE-ScriptItem}{PARSE-Expr} +\calls{PARSE-ScriptItem}{optional} +\calls{PARSE-ScriptItem}{star} +\calls{PARSE-ScriptItem}{match-advance-string} +\calls{PARSE-ScriptItem}{must} +\calls{PARSE-ScriptItem}{PARSE-ScriptItem} +\calls{PARSE-ScriptItem}{push-reduction} +\calls{PARSE-ScriptItem}{pop-stack-2} +\calls{PARSE-ScriptItem}{pop-stack-1} +\begin{chunk}{defun PARSE-ScriptItem} +(defun |PARSE-ScriptItem| () + (or (and (|PARSE-Expr| 90) + (optional + (and (star repeator + (and (match-advance-string ";") + (must (|PARSE-ScriptItem|)))) + (push-reduction '|PARSE-ScriptItem| + (cons '|;| + (cons (pop-stack-2) + (append (pop-stack-1) nil))))))) + (and (match-advance-string ";") (must (|PARSE-ScriptItem|)) + (push-reduction '|PARSE-ScriptItem| + (list '|PrefixSC| (pop-stack-1)))))) + +\end{chunk} + +\defun{PARSE-Name}{PARSE-Name} +\calls{PARSE-Name}{parse-identifier} +\calls{PARSE-Name}{push-reduction} +\calls{PARSE-Name}{pop-stack-1} +\begin{chunk}{defun PARSE-Name} +(defun |PARSE-Name| () + (and (parse-identifier) (push-reduction '|PARSE-Name| (pop-stack-1)))) + +\end{chunk} + +\defun{PARSE-Data}{PARSE-Data} +\calls{PARSE-Data}{action} +\calls{PARSE-Data}{PARSE-Sexpr} +\calls{PARSE-Data}{push-reduction} +\calls{PARSE-Data}{translabel} +\calls{PARSE-Data}{pop-stack-1} +\uses{PARSE-Data}{labasoc} +\begin{chunk}{defun PARSE-Data} +(defun |PARSE-Data| () + (declare (special lablasoc)) + (and (action (setq lablasoc nil)) (|PARSE-Sexpr|) + (push-reduction '|PARSE-Data| + (list 'quote (translabel (pop-stack-1) lablasoc))))) + +\end{chunk} + +\defun{PARSE-Sexpr}{PARSE-Sexpr} +\calls{PARSE-Sexpr}{PARSE-Sexpr1} +\begin{chunk}{defun PARSE-Sexpr} +(defun |PARSE-Sexpr| () + (and (action (advance-token)) (|PARSE-Sexpr1|))) + +\end{chunk} + +\defun{PARSE-Sexpr1}{PARSE-Sexpr1} +\calls{PARSE-Sexpr1}{PARSE-AnyId} +\calls{PARSE-Sexpr1}{optional} +\calls{PARSE-Sexpr1}{PARSE-NBGliphTok} +\calls{PARSE-Sexpr1}{must} +\calls{PARSE-Sexpr1}{PARSE-Sexpr1} +\calls{PARSE-Sexpr1}{action} +\calls{PARSE-Sexpr1}{pop-stack-2} +\calls{PARSE-Sexpr1}{nth-stack} +\calls{PARSE-Sexpr1}{match-advance-string} +\calls{PARSE-Sexpr1}{push-reduction} +\calls{PARSE-Sexpr1}{PARSE-IntegerTok} +\calls{PARSE-Sexpr1}{pop-stack-1} +\calls{PARSE-Sexpr1}{PARSE-String} +\calls{PARSE-Sexpr1}{bang} +\calls{PARSE-Sexpr1}{star} +\calls{PARSE-Sexpr1}{PARSE-GliphTok} +\begin{chunk}{defun PARSE-Sexpr1} +(defun |PARSE-Sexpr1| () + (or (and (|PARSE-AnyId|) + (optional + (and (|PARSE-NBGliphTok| '=) (must (|PARSE-Sexpr1|)) + (action (setq lablasoc + (cons (cons (pop-stack-2) + (nth-stack 1)) + lablasoc)))))) + (and (match-advance-string "'") (must (|PARSE-Sexpr1|)) + (push-reduction '|PARSE-Sexpr1| + (list 'quote (pop-stack-1)))) + (|PARSE-IntegerTok|) + (and (match-advance-string "-") (must (|PARSE-IntegerTok|)) + (push-reduction '|PARSE-Sexpr1| (- (pop-stack-1)))) + (|PARSE-String|) + (and (match-advance-string "<") + (bang fil_test (optional (star repeator (|PARSE-Sexpr1|)))) + (must (match-advance-string ">")) + (push-reduction '|PARSE-Sexpr1| (list2vec (pop-stack-1)))) + (and (match-advance-string "(") + (bang fil_test + (optional + (and (star repeator (|PARSE-Sexpr1|)) + (optional + (and (|PARSE-GliphTok| '|.|) + (must (|PARSE-Sexpr1|)) + (push-reduction '|PARSE-Sexpr1| + (nconc (pop-stack-2) (pop-stack-1)))))))) + (must (match-advance-string ")"))))) + +\end{chunk} + +\defun{PARSE-NBGliphTok}{PARSE-NBGliphTok} +\calls{PARSE-NBGliphTok}{match-current-token} +\calls{PARSE-NBGliphTok}{action} +\calls{PARSE-NBGliphTok}{advance-token} +\uses{PARSE-NBGliphTok}{tok} +\begin{chunk}{defun PARSE-NBGliphTok} +(defun |PARSE-NBGliphTok| (|tok|) + (declare (special |tok|)) + (and (match-current-token 'gliph |tok|) nonblank (action (advance-token)))) + +\end{chunk} + +\defun{PARSE-GliphTok}{PARSE-GliphTok} +\calls{PARSE-GliphTok}{match-current-token} +\calls{PARSE-GliphTok}{action} +\calls{PARSE-GliphTok}{advance-token} +\uses{PARSE-GliphTok}{tok} +\begin{chunk}{defun PARSE-GliphTok} +(defun |PARSE-GliphTok| (|tok|) + (declare (special |tok|)) + (and (match-current-token 'gliph |tok|) (action (advance-token)))) + +\end{chunk} + +\defun{PARSE-AnyId}{PARSE-AnyId} +\calls{PARSE-AnyId}{parse-identifier} +\calls{PARSE-AnyId}{match-string} +\calls{PARSE-AnyId}{push-reduction} +\calls{PARSE-AnyId}{current-symbol} +\calls{PARSE-AnyId}{action} +\calls{PARSE-AnyId}{advance-token} +\calls{PARSE-AnyId}{parse-keyword} +\begin{chunk}{defun PARSE-AnyId} +(defun |PARSE-AnyId| () + (or (parse-identifier) + (or (and (match-string "$") + (push-reduction '|PARSE-AnyId| (current-symbol)) + (action (advance-token))) + (parse-keyword)))) + +\end{chunk} + +\defun{PARSE-Sequence}{PARSE-Sequence} +\calls{PARSE-Sequence}{PARSE-OpenBracket} +\calls{PARSE-Sequence}{must} +\calls{PARSE-Sequence}{PARSE-Sequence1} +\calls{PARSE-Sequence}{match-advance-string} +\calls{PARSE-Sequence}{PARSE-OpenBrace} +\calls{PARSE-Sequence}{push-reduction} +\calls{PARSE-Sequence}{pop-stack-1} +\begin{chunk}{defun PARSE-Sequence} +(defun |PARSE-Sequence| () + (or (and (|PARSE-OpenBracket|) (must (|PARSE-Sequence1|)) + (must (match-advance-string "]"))) + (and (|PARSE-OpenBrace|) (must (|PARSE-Sequence1|)) + (must (match-advance-string "}")) + (push-reduction '|PARSE-Sequence| + (list '|brace| (pop-stack-1)))))) + +\end{chunk} + +\defun{PARSE-Sequence1}{PARSE-Sequence1} +\calls{PARSE-Sequence1}{PARSE-Expression} +\calls{PARSE-Sequence1}{push-reduction} +\calls{PARSE-Sequence1}{pop-stack-2} +\calls{PARSE-Sequence1}{pop-stack-1} +\calls{PARSE-Sequence1}{optional} +\calls{PARSE-Sequence1}{PARSE-IteratorTail} +\begin{chunk}{defun PARSE-Sequence1} +(defun |PARSE-Sequence1| () + (and (or (and (|PARSE-Expression|) + (push-reduction '|PARSE-Sequence1| + (list (pop-stack-2) (pop-stack-1)))) + (push-reduction '|PARSE-Sequence1| (list (pop-stack-1)))) + (optional + (and (|PARSE-IteratorTail|) + (push-reduction '|PARSE-Sequence1| + (cons 'collect + (append (pop-stack-1) + (list (pop-stack-1))))))))) + +\end{chunk} + +\defun{PARSE-OpenBracket}{PARSE-OpenBracket} +\calls{PARSE-OpenBracket}{getToken} +\calls{PARSE-OpenBracket}{current-symbol} +\calls{PARSE-OpenBracket}{eqcar} +\calls{PARSE-OpenBracket}{push-reduction} +\calls{PARSE-OpenBracket}{action} +\calls{PARSE-OpenBracket}{advance-token} +\begin{chunk}{defun PARSE-OpenBracket} +(defun |PARSE-OpenBracket| () + (let (g1) + (and (eq (|getToken| (setq g1 (current-symbol))) '[) + (must (or (and (eqcar g1 '|elt|) + (push-reduction '|PARSE-OpenBracket| + (list '|elt| (second g1) '|construct|))) + (push-reduction '|PARSE-OpenBracket| '|construct|))) + (action (advance-token)))))) + +\end{chunk} + +\defun{PARSE-OpenBrace}{PARSE-OpenBrace} +\calls{PARSE-OpenBrace}{getToken} +\calls{PARSE-OpenBrace}{current-symbol} +\calls{PARSE-OpenBrace}{eqcar} +\calls{PARSE-OpenBrace}{push-reduction} +\calls{PARSE-OpenBrace}{action} +\calls{PARSE-OpenBrace}{advance-token} +\begin{chunk}{defun PARSE-OpenBrace} +(defun |PARSE-OpenBrace| () + (let (g1) + (and (eq (|getToken| (setq g1 (current-symbol))) '{) + (must (or (and (eqcar g1 '|elt|) + (push-reduction '|PARSE-OpenBrace| + (list '|elt| (second g1) '|brace|))) + (push-reduction '|PARSE-OpenBrace| '|construct|))) + (action (advance-token)))))) + +\end{chunk} + +\defun{PARSE-IteratorTail}{PARSE-IteratorTail} +\calls{PARSE-IteratorTail}{match-advance-string} +\calls{PARSE-IteratorTail}{bang} +\calls{PARSE-IteratorTail}{optional} +\calls{PARSE-IteratorTail}{star} +\calls{PARSE-IteratorTail}{PARSE-Iterator} +\begin{chunk}{defun PARSE-IteratorTail} +(defun |PARSE-IteratorTail| () + (or (and (match-advance-string "repeat") + (bang fil_test (optional (star repeator (|PARSE-Iterator|))))) + (star repeator (|PARSE-Iterator|)))) + +\end{chunk} + +\defun{PARSE-Iterator}{PARSE-Iterator} +\calls{PARSE-Iterator}{match-advance-string} +\calls{PARSE-Iterator}{must} +\calls{PARSE-Iterator}{PARSE-Primary} +\calls{PARSE-Iterator}{PARSE-Expression} +\calls{PARSE-Iterator}{PARSE-Expr} +\calls{PARSE-Iterator}{pop-stack-3} +\calls{PARSE-Iterator}{pop-stack-2} +\calls{PARSE-Iterator}{pop-stack-1} +\calls{PARSE-Iterator}{optional} +\begin{chunk}{defun PARSE-Iterator} +(defun |PARSE-Iterator| () + (or (and (match-advance-string "for") (must (|PARSE-Primary|)) + (must (match-advance-string "in")) + (must (|PARSE-Expression|)) + (must (or (and (match-advance-string "by") + (must (|PARSE-Expr| 200)) + (push-reduction '|PARSE-Iterator| + (list 'inby (pop-stack-3) + (pop-stack-2) (pop-stack-1)))) + (push-reduction '|PARSE-Iterator| + (list 'in (pop-stack-2) (pop-stack-1))))) + (optional + (and (match-advance-string "|") + (must (|PARSE-Expr| 111)) + (push-reduction '|PARSE-Iterator| + (list '|\|| (pop-stack-1)))))) + (and (match-advance-string "while") (must (|PARSE-Expr| 190)) + (push-reduction '|PARSE-Iterator| + (list 'while (pop-stack-1)))) + (and (match-advance-string "until") (must (|PARSE-Expr| 190)) + (push-reduction '|PARSE-Iterator| + (list 'until (pop-stack-1)))))) + +\end{chunk} +\subsection{The PARSE implicit routines} +These symbols are not explicitly referenced in the source. +Nevertheless, they are called during runtime. For example, +PARSE-SemiColon is called in the chain: +\begin{verbatim} + PARSE-Enclosure {loc0=nil,loc1="(V ==> Vector; "} [ihs=35] + PARSE-Expr + PARSE-LedPart + PARSE-Operation + PARSE-getSemanticForm + PARSE-SemiColon +\end{verbatim} +so there is a bit of indirection involved in the call. + +\defun{PARSE-Suffix}{PARSE-Suffix} +\calls{PARSE-Suffix}{push-reduction} +\calls{PARSE-Suffix}{current-symbol} +\calls{PARSE-Suffix}{action} +\calls{PARSE-Suffix}{advance-token} +\calls{PARSE-Suffix}{optional} +\calls{PARSE-Suffix}{PARSE-TokTail} +\calls{PARSE-Suffix}{pop-stack-1} +\begin{chunk}{defun PARSE-Suffix} +(defun |PARSE-Suffix| () + (and (push-reduction '|PARSE-Suffix| (current-symbol)) + (action (advance-token)) (optional (|PARSE-TokTail|)) + (push-reduction '|PARSE-Suffix| + (list (pop-stack-1) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-SemiColon}{PARSE-SemiColon} +\calls{PARSE-SemiColon}{match-advance-string} +\calls{PARSE-SemiColon}{must} +\calls{PARSE-SemiColon}{PARSE-Expr} +\calls{PARSE-SemiColon}{push-reduction} +\calls{PARSE-SemiColon}{pop-stack-2} +\calls{PARSE-SemiColon}{pop-stack-1} +\begin{chunk}{defun PARSE-SemiColon} +(defun |PARSE-SemiColon| () + (and (match-advance-string ";") + (must (or (|PARSE-Expr| 82) + (push-reduction '|PARSE-SemiColon| '|/throwAway|))) + (push-reduction '|PARSE-SemiColon| + (list '|;| (pop-stack-2) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-Return}{PARSE-Return} +\calls{PARSE-Return}{match-advance-string} +\calls{PARSE-Return}{must} +\calls{PARSE-Return}{PARSE-Expression} +\calls{PARSE-Return}{push-reduction} +\calls{PARSE-Return}{pop-stack-1} +\begin{chunk}{defun PARSE-Return} +(defun |PARSE-Return| () + (and (match-advance-string "return") (must (|PARSE-Expression|)) + (push-reduction '|PARSE-Return| + (list '|return| (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-Exit}{PARSE-Exit} +\calls{PARSE-Exit}{match-advance-string} +\calls{PARSE-Exit}{must} +\calls{PARSE-Exit}{PARSE-Expression} +\calls{PARSE-Exit}{push-reduction} +\calls{PARSE-Exit}{pop-stack-1} +\begin{chunk}{defun PARSE-Exit} +(defun |PARSE-Exit| () + (and (match-advance-string "exit") + (must (or (|PARSE-Expression|) + (push-reduction '|PARSE-Exit| '|$NoValue|))) + (push-reduction '|PARSE-Exit| + (list '|exit| (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-Leave}{PARSE-Leave} +\calls{PARSE-Leave}{match-advance-string} +\calls{PARSE-Leave}{PARSE-Expression} +\calls{PARSE-Leave}{must} +\calls{PARSE-Leave}{push-reduction} +\calls{PARSE-Leave}{PARSE-Label} +\calls{PARSE-Leave}{pop-stack-1} +\begin{chunk}{defun PARSE-Leave} +(defun |PARSE-Leave| () + (and (match-advance-string "leave") + (must (or (|PARSE-Expression|) + (push-reduction '|PARSE-Leave| '|$NoValue|))) + (must (or (and (match-advance-string "from") + (must (|PARSE-Label|)) + (push-reduction '|PARSE-Leave| + (list '|leaveFrom| (pop-stack-1) (pop-stack-1)))) + (push-reduction '|PARSE-Leave| + (list '|leave| (pop-stack-1))))))) + +\end{chunk} + +\defun{PARSE-Seg}{PARSE-Seg} +\calls{PARSE-Seg}{PARSE-GliphTok} +\calls{PARSE-Seg}{bang} +\calls{PARSE-Seg}{optional} +\calls{PARSE-Seg}{PARSE-Expression} +\calls{PARSE-Seg}{push-reduction} +\calls{PARSE-Seg}{pop-stack-2} +\calls{PARSE-Seg}{pop-stack-1} +\begin{chunk}{defun PARSE-Seg} +(defun |PARSE-Seg| () + (and (|PARSE-GliphTok| '|..|) + (bang fil_test (optional (|PARSE-Expression|))) + (push-reduction '|PARSE-Seg| + (list 'segment (pop-stack-2) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-Conditional}{PARSE-Conditional} +\calls{PARSE-Conditional}{match-advance-string} +\calls{PARSE-Conditional}{must} +\calls{PARSE-Conditional}{PARSE-Expression} +\calls{PARSE-Conditional}{bang} +\calls{PARSE-Conditional}{optional} +\calls{PARSE-Conditional}{PARSE-ElseClause} +\calls{PARSE-Conditional}{push-reduction} +\calls{PARSE-Conditional}{pop-stack-3} +\calls{PARSE-Conditional}{pop-stack-2} +\calls{PARSE-Conditional}{pop-stack-1} +\begin{chunk}{defun PARSE-Conditional} +(defun |PARSE-Conditional| () + (and (match-advance-string "if") (must (|PARSE-Expression|)) + (must (match-advance-string "then")) (must (|PARSE-Expression|)) + (bang fil_test + (optional + (and (match-advance-string "else") + (must (|PARSE-ElseClause|))))) + (push-reduction '|PARSE-Conditional| + (list '|if| (pop-stack-3) (pop-stack-2) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-ElseClause}{PARSE-ElseClause} +\calls{PARSE-ElseClause}{current-symbol} +\calls{PARSE-ElseClause}{PARSE-Conditional} +\calls{PARSE-ElseClause}{PARSE-Expression} +\begin{chunk}{defun PARSE-ElseClause} +(defun |PARSE-ElseClause| () + (or (and (eq (current-symbol) '|if|) (|PARSE-Conditional|)) + (|PARSE-Expression|))) + +\end{chunk} + +\defun{PARSE-Loop}{PARSE-Loop} +\calls{PARSE-Loop}{star} +\calls{PARSE-Loop}{PARSE-Iterator} +\calls{PARSE-Loop}{must} +\calls{PARSE-Loop}{match-advance-string} +\calls{PARSE-Loop}{PARSE-Expr} +\calls{PARSE-Loop}{push-reduction} +\calls{PARSE-Loop}{pop-stack-2} +\calls{PARSE-Loop}{pop-stack-1} +\begin{chunk}{defun PARSE-Loop} +(defun |PARSE-Loop| () + (or (and (star repeator (|PARSE-Iterator|)) + (must (match-advance-string "repeat")) + (must (|PARSE-Expr| 110)) + (push-reduction '|PARSE-Loop| + (cons 'repeat + (append (pop-stack-2) (list (pop-stack-1)))))) + (and (match-advance-string "repeat") (must (|PARSE-Expr| 110)) + (push-reduction '|PARSE-Loop| + (list 'repeat (pop-stack-1)))))) + +\end{chunk} + +\defun{PARSE-LabelExpr}{PARSE-LabelExpr} +\calls{PARSE-LabelExpr}{PARSE-Label} +\calls{PARSE-LabelExpr}{must} +\calls{PARSE-LabelExpr}{PARSE-Expr} +\calls{PARSE-LabelExpr}{push-reduction} +\calls{PARSE-LabelExpr}{pop-stack-2} +\calls{PARSE-LabelExpr}{pop-stack-1} +\begin{chunk}{defun PARSE-LabelExpr} +(defun |PARSE-LabelExpr| () + (and (|PARSE-Label|) (must (|PARSE-Expr| 120)) + (push-reduction '|PARSE-LabelExpr| + (list 'label (pop-stack-2) (pop-stack-1))))) + +\end{chunk} + +\defun{PARSE-FloatTok}{PARSE-FloatTok} +\calls{PARSE-FloatTok}{parse-number} +\calls{PARSE-FloatTok}{push-reduction} +\calls{PARSE-FloatTok}{pop-stack-1} +\calls{PARSE-FloatTok}{bfp-} +\refsdollar{PARSE-FloatTok}{boot} +\begin{chunk}{defun PARSE-FloatTok} +(defun |PARSE-FloatTok| () + (declare (special $boot)) + (and (parse-number) + (push-reduction '|PARSE-FloatTok| + (if $boot (pop-stack-1) (bfp- (pop-stack-1)))))) \end{chunk} -\defun{PARSE-Float}{PARSE-Float} -\calls{PARSE-Float}{PARSE-FloatBase} -\calls{PARSE-Float}{must} -\calls{PARSE-Float}{PARSE-FloatExponent} -\calls{PARSE-Float}{push-reduction} -\calls{PARSE-Float}{make-float} -\calls{PARSE-Float}{pop-stack-4} -\calls{PARSE-Float}{pop-stack-3} -\calls{PARSE-Float}{pop-stack-2} -\calls{PARSE-Float}{pop-stack-1} -\begin{chunk}{defun PARSE-Float} -(defun |PARSE-Float| () - (and (|PARSE-FloatBase|) - (must (or (and nonblank (|PARSE-FloatExponent|)) - (push-reduction '|PARSE-Float| 0))) - (push-reduction '|PARSE-Float| - (make-float (pop-stack-4) (pop-stack-2) (pop-stack-2) - (pop-stack-1))))) + +\section{The PARSE support routines} +This section is broken up into 3 levels: +\begin{itemize} +\item String grabbing: Match String, Match Advance String +\item Token handling: Current Token, Next Token, Advance Token +\item Character handling: Current Char, Next Char, Advance Char +\item Line handling: Next Line, Print Next Line +\item Error Handling +\item Floating Point Support +\item Dollar Translation +\end{itemize} +\subsection{String grabbing} +String grabbing is the art of matching initial segments of the current +line, and removing them from the line before the get tokenized if they +match (or removing the corresponding current tokens). + +\defun{match-string}{match-string} +The match-string function returns length of X +if X matches initial segment of inputstream. +\calls{match-string}{unget-tokens} +\calls{match-string}{skip-blanks} +\calls{match-string}{line-past-end-p} +\calls{match-string}{current-char} +\calls{match-string}{initial-substring-p} +\calls{match-string}{subseq} +\usesstruct{match-string}{line} +\uses{match-string}{line} +\begin{chunk}{defun match-string} +(defun match-string (x) + (unget-tokens) ; So we don't get out of synch with token stream + (skip-blanks) + (if (and (not (line-past-end-p current-line)) (current-char) ) + (initial-substring-p x + (subseq (line-buffer current-line) (line-current-index current-line))))) + +\end{chunk} + +\defun{skip-blanks}{skip-blanks} +\calls{skip-blanks}{current-char} +\calls{skip-blanks}{token-lookahead-type} +\calls{skip-blanks}{advance-char} +\begin{chunk}{defun skip-blanks} +(defun skip-blanks () + (loop (let ((cc (current-char))) + (if (not cc) (return nil)) + (if (eq (token-lookahead-type cc) 'white) + (if (not (advance-char)) (return nil)) + (return t))))) + +\end{chunk} + +\begin{chunk}{initvars} +(defvar Escape-Character #\\ "Superquoting character.") + +\end{chunk} + +\defun{token-lookahead-type}{token-lookahead-type} +\uses{token-lookahead-type}{Escape-Character} +\begin{chunk}{defun token-lookahead-type} +(defun token-lookahead-type (char) + "Predicts the kind of token to follow, based on the given initial character." + (declare (special Escape-Character)) + (cond + ((not char) 'eof) + ((or (char= char Escape-Character) (alpha-char-p char)) 'id) + ((digitp char) 'num) + ((char= char #\') 'string) + ((char= char #\[) 'bstring) + ((member char '(#\Space #\Tab #\Return) :test #'char=) 'white) + (t 'special-char))) + +\end{chunk} + +\defun{match-advance-string}{match-advance-string} +The match-string function returns length of X +if X matches initial segment of inputstream. +If it is successful, advance inputstream past X. +\calls{match-advance-string}{quote-if-string} +\calls{match-advance-string}{current-token} +\calls{match-advance-string}{match-string} +\calls{match-advance-string}{line-current-index} +\calls{match-advance-string}{line-past-end-p} +\calls{match-advance-string}{line-current-char} +\usesstruct{match-advance-string}{token} +\usesstruct{match-advance-string}{line} +\begin{chunk}{defun match-advance-string} +(defun match-advance-string (x) + (let ((y (if (>= (length (string x)) + (length (string (quote-if-string (current-token))))) + (match-string x) + nil))) ; must match at least the current token + (when y + (incf (line-current-index current-line) y) + (if (not (line-past-end-p current-line)) + (setf (line-current-char current-line) + (elt (line-buffer current-line) + (line-current-index current-line))) + (setf (line-current-char current-line) #\space)) + (setq prior-token + (make-token :symbol (intern (string x)) + :type 'identifier + :nonblank nonblank)) + t))) + +\end{chunk} + +\defun{initial-substring-p}{initial-substring-p} +\calls{initial-substring-p}{string-not-greaterp} +\begin{chunk}{defun initial-substring-p} +(defun initial-substring-p (part whole) + "Returns length of part if part matches initial segment of whole." + (let ((x (string-not-greaterp part whole))) + (and x (= x (length part)) x))) + +\end{chunk} + +\defun{quote-if-string}{quote-if-string} +\calls{quote-if-string}{token-type} +\calls{quote-if-string}{strconc} +\calls{quote-if-string}{token-symbol} +\calls{quote-if-string}{underscore} +\calls{quote-if-string}{token-nonblank} +\calls{quote-if-string}{pack} +\calls{quote-if-string}{escape-keywords} +\usesdollar{quote-if-string}{boot} +\usesdollar{quote-if-string}{spad} +\begin{chunk}{defun quote-if-string} +(defun quote-if-string (token) + (declare (special $boot $spad)) + (when token ;only use token-type on non-null tokens + (case (token-type token) + (bstring (strconc "[" (token-symbol token) "]*")) + (string (strconc "'" (token-symbol token) "'")) + (spadstring (strconc "\"" (underscore (token-symbol token)) "\"")) + (number (format nil "~v,'0D" (token-nonblank token) + (token-symbol token))) + (special-char (string (token-symbol token))) + (identifier (let ((id (symbol-name (token-symbol token))) + (pack (package-name (symbol-package + (token-symbol token))))) + (if (or $boot $spad) + (if (string= pack "BOOT") + (escape-keywords (underscore id) (token-symbol token)) + (concatenate 'string + (underscore pack) "'" (underscore id))) + id))) + (t (token-symbol token))))) + +\end{chunk} + +\defun{escape-keywords}{escape-keywords} +\refsdollar{escape-keywords}{keywords} +\begin{chunk}{defun escape-keywords} +(defun escape-keywords (pname id) + (declare (special keywords)) + (if (member id keywords) + (concatenate 'string "_" pname) + pname)) + +\end{chunk} + +\defun{isTokenDelimiter}{isTokenDelimiter} +NIL needed below since END\_UNIT is not generated by current parser +\calls{isTokenDelimiter}{current-symbol} +\begin{chunk}{defun isTokenDelimiter} +(defun |isTokenDelimiter| () + (member (current-symbol) '(\) end\_unit nil))) + +\end{chunk} + +\defun{underscore}{underscore} +\calls{underscore}{vector-push} +\begin{chunk}{defun underscore} +(defun underscore (string) + (if (every #'alpha-char-p string) + string + (let* ((size (length string)) + (out-string (make-array (* 2 size) + :element-type 'string-char + :fill-pointer 0)) + next-char) + (dotimes (i size) + (setq next-char (char string i)) + (unless (alpha-char-p next-char) (vector-push #\_ out-string)) + (vector-push next-char out-string)) + out-string))) + +\end{chunk} + +\subsection{Token Handling} + +\defun{getToken}{getToken} +\calls{getToken}{eqcar} +\begin{chunk}{defun getToken} +(defun |getToken| (x) + (if (eqcar x '|elt|) (third x) x)) \end{chunk} -\defun{PARSE-FloatBase}{PARSE-FloatBase} -\calls{PARSE-FloatBase}{current-symbol} -\calls{PARSE-FloatBase}{char-eq} -\calls{PARSE-FloatBase}{current-char} -\calls{PARSE-FloatBase}{char-ne} -\calls{PARSE-FloatBase}{next-char} -\calls{PARSE-FloatBase}{PARSE-IntegerTok} -\calls{PARSE-FloatBase}{must} -\calls{PARSE-FloatBase}{PARSE-FloatBasePart} -\calls{PARSE-FloatBase}{PARSE-IntegerTok} -\calls{PARSE-FloatBase}{push-reduction} -\seebook{PARSE-FloatBase}{digitp}{5} -\begin{chunk}{defun PARSE-FloatBase} -(defun |PARSE-FloatBase| () - (or (and (integerp (current-symbol)) (char-eq (current-char) ".") - (char-ne (next-char) ".") (|PARSE-IntegerTok|) - (must (|PARSE-FloatBasePart|))) - (and (integerp (current-symbol)) - (char-eq (char-upcase (current-char)) 'e) - (|PARSE-IntegerTok|) (push-reduction '|PARSE-FloatBase| 0) - (push-reduction '|PARSE-FloatBase| 0)) - (and (digitp (current-char)) (eq (current-symbol) '|.|) - (push-reduction '|PARSE-FloatBase| 0) - (|PARSE-FloatBasePart|)))) +\defun{unget-tokens}{unget-tokens} +\calls{unget-tokens}{quote-if-string} +\calls{unget-tokens}{line-current-segment} +\calls{unget-tokens}{strconc} +\calls{unget-tokens}{line-number} +\calls{unget-tokens}{token-nonblank} +\calls{unget-tokens}{line-new-line} +\calls{unget-tokens}{line-number} +\uses{unget-tokens}{valid-tokens} +\begin{chunk}{defun unget-tokens} +(defun unget-tokens () + (case valid-tokens + (0 t) + (1 (let* ((cursym (quote-if-string current-token)) + (curline (line-current-segment current-line)) + (revised-line (strconc cursym curline (copy-seq " ")))) + (line-new-line revised-line current-line (line-number current-line)) + (setq nonblank (token-nonblank current-token)) + (setq valid-tokens 0))) + (2 (let* ((cursym (quote-if-string current-token)) + (nextsym (quote-if-string next-token)) + (curline (line-current-segment Current-Line)) + (revised-line + (strconc (if (token-nonblank current-token) "" " ") + cursym + (if (token-nonblank next-token) "" " ") + nextsym curline " "))) + (setq nonblank (token-nonblank current-token)) + (line-new-line revised-line current-line (line-number current-line)) + (setq valid-tokens 0))) + (t (error "How many tokens do you think you have?")))) \end{chunk} -\defun{PARSE-FloatBasePart}{PARSE-FloatBasePart} -\calls{PARSE-FloatBasePart}{match-advance-string} -\calls{PARSE-FloatBasePart}{must} -\seebook{PARSE-FloatBasePart}{digitp}{5} -\calls{PARSE-FloatBasePart}{current-char} -\calls{PARSE-FloatBasePart}{push-reduction} -\calls{PARSE-FloatBasePart}{token-nonblank} -\calls{PARSE-FloatBasePart}{current-token} -\calls{PARSE-FloatBasePart}{PARSE-IntegerTok} -\begin{chunk}{defun PARSE-FloatBasePart} -(defun |PARSE-FloatBasePart| () - (and (match-advance-string ".") - (must (or (and (digitp (current-char)) - (push-reduction '|PARSE-FloatBasePart| - (token-nonblank (current-token))) - (|PARSE-IntegerTok|)) - (and (push-reduction '|PARSE-FloatBasePart| 0) - (push-reduction '|PARSE-FloatBasePart| 0)))))) +\defun{match-current-token}{match-current-token} +This returns the current token if it has EQ type and (optionally) equal symbol. +\calls{match-current-token}{current-token} +\calls{match-current-token}{match-token} +\begin{chunk}{defun match-current-token} +(defun match-current-token (type &optional (symbol nil)) + (match-token (current-token) type symbol)) \end{chunk} -\defun{PARSE-FloatExponent}{PARSE-FloatExponent} -\calls{PARSE-FloatExponent}{current-symbol} -\calls{PARSE-FloatExponent}{current-char} -\calls{PARSE-FloatExponent}{action} -\calls{PARSE-FloatExponent}{advance-token} -\calls{PARSE-FloatExponent}{PARSE-IntegerTok} -\calls{PARSE-FloatExponent}{match-advance-string} -\calls{PARSE-FloatExponent}{must} -\calls{PARSE-FloatExponent}{push-reduction} -\seebook{PARSE-FloatExponent}{identp}{5} -\calls{PARSE-FloatExponent}{floatexpid} -\begin{chunk}{defun PARSE-FloatExponent} -(defun |PARSE-FloatExponent| () - (let (g1) - (or (and (member (current-symbol) '(e |e|)) - (find (current-char) "+-") (action (advance-token)) - (must (or (|PARSE-IntegerTok|) - (and (match-advance-string "+") - (must (|PARSE-IntegerTok|))) - (and (match-advance-string "-") - (must (|PARSE-IntegerTok|)) - (push-reduction '|PARSE-FloatExponent| - (- (pop-stack-1)))) - (push-reduction '|PARSE-FloatExponent| 0)))) - (and (identp (current-symbol)) - (setq g1 (floatexpid (current-symbol))) - (action (advance-token)) - (push-reduction '|PARSE-FloatExponent| g1))))) +\defun{match-token}{match-token} +\calls{match-token}{token-type} +\calls{match-token}{token-symbol} +\begin{chunk}{defun match-token} +(defun match-token (token type &optional (symbol nil)) + (when (and token (eq (token-type token) type)) + (if symbol + (when (equal symbol (token-symbol token)) token) + token))) \end{chunk} -\defun{PARSE-Enclosure}{PARSE-Enclosure} -\calls{PARSE-Enclosure}{match-advance-string} -\calls{PARSE-Enclosure}{must} -\calls{PARSE-Enclosure}{PARSE-Expr} -\calls{PARSE-Enclosure}{push-reduction} -\calls{PARSE-Enclosure}{pop-stack-1} -\begin{chunk}{defun PARSE-Enclosure} -(defun |PARSE-Enclosure| () - (or (and (match-advance-string "(") - (must (or (and (|PARSE-Expr| 6) - (must (match-advance-string ")"))) - (and (match-advance-string ")") - (push-reduction '|PARSE-Enclosure| - (list '|@Tuple|)))))) - (and (match-advance-string "{") - (must (or (and (|PARSE-Expr| 6) - (must (match-advance-string "}")) - (push-reduction '|PARSE-Enclosure| - (cons '|brace| - (list (list '|construct| (pop-stack-1)))))) - (and (match-advance-string "}") - (push-reduction '|PARSE-Enclosure| - (list '|brace|)))))))) +\defun{match-next-token}{match-next-token} +This returns the next token if it has equal type and (optionally) equal symbol. +\calls{match-next-token}{next-token} +\calls{match-next-token}{match-token} +\begin{chunk}{defun match-next-token} +(defun match-next-token (type &optional (symbol nil)) + (match-token (next-token) type symbol)) \end{chunk} -\defun{PARSE-IntegerTok}{PARSE-IntegerTok} -\calls{PARSE-IntegerTok}{parse-number} -\begin{chunk}{defun PARSE-IntegerTok} -(defun |PARSE-IntegerTok| () (parse-number)) +\defun{current-symbol}{current-symbol} +\calls{current-symbol}{make-symbol-of} +\calls{current-symbol}{current-token} +\begin{chunk}{defun current-symbol} +(defun current-symbol () + (make-symbol-of (current-token))) \end{chunk} -\defun{PARSE-FormalParameter}{PARSE-FormalParameter} -\calls{PARSE-FormalParameter}{PARSE-FormalParameterTok} -\begin{chunk}{defun PARSE-FormalParameter} -(defun |PARSE-FormalParameter| () (|PARSE-FormalParameterTok|)) +\defun{make-symbol-of}{make-symbol-of} +\usesstruct{make-symbol-of}{token} +\begin{chunk}{defun make-symbol-of} +(defun make-symbol-of (token) + (let ((u (and token (token-symbol token)))) + (cond + ((not u) nil) + ((characterp u) (intern (string u))) + (u)))) \end{chunk} -\defun{PARSE-FormalParameterTok}{PARSE-FormalParameterTok} -\calls{PARSE-FormalParameterTok}{parse-argument-designator} -\begin{chunk}{defun PARSE-FormalParameterTok} -(defun |PARSE-FormalParameterTok| () (parse-argument-designator)) +\defun{current-token}{current-token} +This returns the current token getting a new one if necessary. +\calls{current-token}{try-get-token} +\uses{current-token}{valid-tokens} +\uses{current-token}{current-token} +\begin{chunk}{defun current-token} +(defun current-token () + (declare (special valid-tokens current-token)) + (if (> valid-tokens 0) + current-token + (try-get-token current-token))) \end{chunk} -\defun{PARSE-Quad}{PARSE-Quad} -\calls{PARSE-Quad}{match-advance-string} -\calls{PARSE-Quad}{push-reduction} -\calls{PARSE-Quad}{PARSE-GliphTok} -\usesdollar{PARSE-Quad}{boot} -\begin{chunk}{defun PARSE-Quad} -(defun |PARSE-Quad| () - (or (and (match-advance-string "$") - (push-reduction '|PARSE-Quad| '$)) - (and $boot (|PARSE-GliphTok| '|.|) - (push-reduction '|PARSE-Quad| '|.|)))) +\defun{try-get-token}{try-get-token} +\calls{try-get-token}{get-token} +\uses{try-get-token}{valid-tokens} +\begin{chunk}{defun try-get-token} +(defun try-get-token (token) + (declare (special valid-tokens)) + (let ((tok (get-token token))) + (when tok + (incf valid-tokens) + token))) \end{chunk} -\defun{PARSE-String}{PARSE-String} -\calls{PARSE-String}{parse-spadstring} -\begin{chunk}{defun PARSE-String} -(defun |PARSE-String| () (parse-spadstring)) +\defun{next-token}{next-token} +This returns the token after the current token, or NIL if there is none after. +\calls{next-token}{try-get-token} +\calls{next-token}{current-token} +\uses{next-token}{valid-tokens} +\uses{next-token}{next-token} +\begin{chunk}{defun next-token} +(defun next-token () + (declare (special valid-tokens next-token)) + (current-token) + (if (> valid-tokens 1) + next-token + (try-get-token next-token))) \end{chunk} -\defun{PARSE-VarForm}{PARSE-VarForm} -\calls{PARSE-VarForm}{PARSE-Name} -\calls{PARSE-VarForm}{optional} -\calls{PARSE-VarForm}{PARSE-Scripts} -\calls{PARSE-VarForm}{push-reduction} -\calls{PARSE-VarForm}{pop-stack-2} -\calls{PARSE-VarForm}{pop-stack-1} -\begin{chunk}{defun PARSE-VarForm} -(defun |PARSE-VarForm| () - (and (|PARSE-Name|) - (optional - (and (|PARSE-Scripts|) - (push-reduction '|PARSE-VarForm| - (list '|Scripts| (pop-stack-2) (pop-stack-1))))) - (push-reduction '|PARSE-VarForm| (pop-stack-1)))) +\defun{advance-token}{advance-token} +This makes the next token be the current token. +\calls{advance-token}{current-token} +\calls{advance-token}{copy-token} +\calls{advance-token}{try-get-token} +\uses{advance-token}{valid-tokens} +\uses{advance-token}{current-token} +\begin{chunk}{defun advance-token} +(defun advance-token () + (current-token) ;don't know why this is needed + (case valid-tokens + (0 (try-get-token (current-token))) + (1 (decf valid-tokens) + (setq prior-token (copy-token current-token)) + (try-get-token current-token)) + (2 (setq prior-token (copy-token current-token)) + (setq current-token (copy-token next-token)) + (decf valid-tokens)))) \end{chunk} -\defun{PARSE-Scripts}{PARSE-Scripts} -\calls{PARSE-Scripts}{match-advance-string} -\calls{PARSE-Scripts}{must} -\calls{PARSE-Scripts}{PARSE-ScriptItem} -\begin{chunk}{defun PARSE-Scripts} -(defun |PARSE-Scripts| () - (and nonblank (match-advance-string "[") (must (|PARSE-ScriptItem|)) - (must (match-advance-string "]")))) +\defvar{XTokenReader} +\begin{chunk}{initvars} +(defvar XTokenReader 'get-meta-token "Name of tokenizing function") \end{chunk} -\defun{PARSE-ScriptItem}{PARSE-ScriptItem} -\calls{PARSE-ScriptItem}{PARSE-Expr} -\calls{PARSE-ScriptItem}{optional} -\calls{PARSE-ScriptItem}{star} -\calls{PARSE-ScriptItem}{match-advance-string} -\calls{PARSE-ScriptItem}{must} -\calls{PARSE-ScriptItem}{PARSE-ScriptItem} -\calls{PARSE-ScriptItem}{push-reduction} -\calls{PARSE-ScriptItem}{pop-stack-2} -\calls{PARSE-ScriptItem}{pop-stack-1} -\begin{chunk}{defun PARSE-ScriptItem} -(defun |PARSE-ScriptItem| () - (or (and (|PARSE-Expr| 90) - (optional - (and (star repeator - (and (match-advance-string ";") - (must (|PARSE-ScriptItem|)))) - (push-reduction '|PARSE-ScriptItem| - (cons '|;| - (cons (pop-stack-2) - (append (pop-stack-1) nil))))))) - (and (match-advance-string ";") (must (|PARSE-ScriptItem|)) - (push-reduction '|PARSE-ScriptItem| - (list '|PrefixSC| (pop-stack-1)))))) +\defun{get-token}{get-token} +\calls{get-token}{XTokenReader} +\uses{get-token}{XTokenReader} +\begin{chunk}{defun get-token} +(defun get-token (token) + (funcall XTokenReader token)) \end{chunk} -\defun{PARSE-Name}{PARSE-Name} -\calls{PARSE-Name}{parse-identifier} -\calls{PARSE-Name}{push-reduction} -\calls{PARSE-Name}{pop-stack-1} -\begin{chunk}{defun PARSE-Name} -(defun |PARSE-Name| () - (and (parse-identifier) (push-reduction '|PARSE-Name| (pop-stack-1)))) - -\end{chunk} +\subsection{Character handling} -\defun{PARSE-Data}{PARSE-Data} -\calls{PARSE-Data}{action} -\calls{PARSE-Data}{PARSE-Sexpr} -\calls{PARSE-Data}{push-reduction} -\calls{PARSE-Data}{translabel} -\calls{PARSE-Data}{pop-stack-1} -\uses{PARSE-Data}{labasoc} -\begin{chunk}{defun PARSE-Data} -(defun |PARSE-Data| () - (declare (special lablasoc)) - (and (action (setq lablasoc nil)) (|PARSE-Sexpr|) - (push-reduction '|PARSE-Data| - (list 'quote (translabel (pop-stack-1) lablasoc))))) +\defun{current-char}{current-char} +This returns the current character of the line, initially blank for an +unread line. +\usesstruct{current-char}{line} +\uses{current-char}{current-line} +\begin{chunk}{defun current-char} +(defun current-char () + (if (line-past-end-p current-line) + #\return + (line-current-char current-line))) \end{chunk} -\defun{PARSE-Sexpr}{PARSE-Sexpr} -\calls{PARSE-Sexpr}{PARSE-Sexpr1} -\begin{chunk}{defun PARSE-Sexpr} -(defun |PARSE-Sexpr| () - (and (action (advance-token)) (|PARSE-Sexpr1|))) +\defun{next-char}{next-char} +This returns the character after the current character, blank if at +end of line. The blank-at-end-of-line assumption is allowable because +we assume that end-of-line is a token separator, which blank is +equivalent to. +\calls{next-char}{line-at-end-p} +\calls{next-char}{line-next-char} +\uses{next-char}{current-line} +\begin{chunk}{defun next-char} +(defun next-char () + (if (line-at-end-p current-line) + #\return + (line-next-char current-line))) \end{chunk} -\defun{PARSE-Sexpr1}{PARSE-Sexpr1} -\calls{PARSE-Sexpr1}{PARSE-AnyId} -\calls{PARSE-Sexpr1}{optional} -\calls{PARSE-Sexpr1}{PARSE-NBGliphTok} -\calls{PARSE-Sexpr1}{must} -\calls{PARSE-Sexpr1}{PARSE-Sexpr1} -\calls{PARSE-Sexpr1}{action} -\calls{PARSE-Sexpr1}{pop-stack-2} -\calls{PARSE-Sexpr1}{nth-stack} -\calls{PARSE-Sexpr1}{match-advance-string} -\calls{PARSE-Sexpr1}{push-reduction} -\calls{PARSE-Sexpr1}{PARSE-IntegerTok} -\calls{PARSE-Sexpr1}{pop-stack-1} -\calls{PARSE-Sexpr1}{PARSE-String} -\calls{PARSE-Sexpr1}{bang} -\calls{PARSE-Sexpr1}{star} -\calls{PARSE-Sexpr1}{PARSE-GliphTok} -\begin{chunk}{defun PARSE-Sexpr1} -(defun |PARSE-Sexpr1| () - (or (and (|PARSE-AnyId|) - (optional - (and (|PARSE-NBGliphTok| '=) (must (|PARSE-Sexpr1|)) - (action (setq lablasoc - (cons (cons (pop-stack-2) - (nth-stack 1)) - lablasoc)))))) - (and (match-advance-string "'") (must (|PARSE-Sexpr1|)) - (push-reduction '|PARSE-Sexpr1| - (list 'quote (pop-stack-1)))) - (|PARSE-IntegerTok|) - (and (match-advance-string "-") (must (|PARSE-IntegerTok|)) - (push-reduction '|PARSE-Sexpr1| (- (pop-stack-1)))) - (|PARSE-String|) - (and (match-advance-string "<") - (bang fil_test (optional (star repeator (|PARSE-Sexpr1|)))) - (must (match-advance-string ">")) - (push-reduction '|PARSE-Sexpr1| (list2vec (pop-stack-1)))) - (and (match-advance-string "(") - (bang fil_test - (optional - (and (star repeator (|PARSE-Sexpr1|)) - (optional - (and (|PARSE-GliphTok| '|.|) - (must (|PARSE-Sexpr1|)) - (push-reduction '|PARSE-Sexpr1| - (nconc (pop-stack-2) (pop-stack-1)))))))) - (must (match-advance-string ")"))))) +\defun{char-eq}{char-eq} +\begin{chunk}{defun char-eq} +(defun char-eq (x y) + (char= (character x) (character y))) \end{chunk} -\defun{PARSE-NBGliphTok}{PARSE-NBGliphTok} -\calls{PARSE-NBGliphTok}{match-current-token} -\calls{PARSE-NBGliphTok}{action} -\calls{PARSE-NBGliphTok}{advance-token} -\uses{PARSE-NBGliphTok}{tok} -\begin{chunk}{defun PARSE-NBGliphTok} -(defun |PARSE-NBGliphTok| (|tok|) - (declare (special |tok|)) - (and (match-current-token 'gliph |tok|) nonblank (action (advance-token)))) +\defun{char-ne}{char-ne} +\begin{chunk}{defun char-ne} +(defun char-ne (x y) + (char/= (character x) (character y))) \end{chunk} -\defun{PARSE-GliphTok}{PARSE-GliphTok} -\calls{PARSE-GliphTok}{match-current-token} -\calls{PARSE-GliphTok}{action} -\calls{PARSE-GliphTok}{advance-token} -\uses{PARSE-GliphTok}{tok} -\begin{chunk}{defun PARSE-GliphTok} -(defun |PARSE-GliphTok| (|tok|) - (declare (special |tok|)) - (and (match-current-token 'gliph |tok|) (action (advance-token)))) +\subsection{Error handling} +\defvar{meta-error-handler} +\begin{chunk}{initvars} +(defvar meta-error-handler 'meta-meta-error-handler) \end{chunk} -\defun{PARSE-AnyId}{PARSE-AnyId} -\calls{PARSE-AnyId}{parse-identifier} -\calls{PARSE-AnyId}{match-string} -\calls{PARSE-AnyId}{push-reduction} -\calls{PARSE-AnyId}{current-symbol} -\calls{PARSE-AnyId}{action} -\calls{PARSE-AnyId}{advance-token} -\calls{PARSE-AnyId}{parse-keyword} -\begin{chunk}{defun PARSE-AnyId} -(defun |PARSE-AnyId| () - (or (parse-identifier) - (or (and (match-string "$") - (push-reduction '|PARSE-AnyId| (current-symbol)) - (action (advance-token))) - (parse-keyword)))) +\defun{meta-syntax-error}{meta-syntax-error} +\calls{meta-syntax-error}{meta-error-handler} +\uses{meta-syntax-error}{meta-error-handler} +\begin{chunk}{defun meta-syntax-error} +(defun meta-syntax-error (&optional (wanted nil) (parsing nil)) + (declare (special meta-error-handler)) + (funcall meta-error-handler wanted parsing)) \end{chunk} -\defun{PARSE-Sequence}{PARSE-Sequence} -\calls{PARSE-Sequence}{PARSE-OpenBracket} -\calls{PARSE-Sequence}{must} -\calls{PARSE-Sequence}{PARSE-Sequence1} -\calls{PARSE-Sequence}{match-advance-string} -\calls{PARSE-Sequence}{PARSE-OpenBrace} -\calls{PARSE-Sequence}{push-reduction} -\calls{PARSE-Sequence}{pop-stack-1} -\begin{chunk}{defun PARSE-Sequence} -(defun |PARSE-Sequence| () - (or (and (|PARSE-OpenBracket|) (must (|PARSE-Sequence1|)) - (must (match-advance-string "]"))) - (and (|PARSE-OpenBrace|) (must (|PARSE-Sequence1|)) - (must (match-advance-string "}")) - (push-reduction '|PARSE-Sequence| - (list '|brace| (pop-stack-1)))))) +\subsection{Floating Point Support} + +\defun{floatexpid}{floatexpid} +\tpdhere{The use of and in spadreduce is undefined. rewrite this to loop} +\seebook{floatexpid}{identp}{5} +\seebook{floatexpid}{pname}{5} +\calls{floatexpid}{spadreduce} +\calls{floatexpid}{collect} +\calls{floatexpid}{step} +\calls{floatexpid}{maxindex} +\seebook{floatexpid}{digitp}{5} +\begin{chunk}{defun floatexpid} +(defun floatexpid (x &aux s) + (when (and (identp x) (char= (char-upcase (elt (setq s (pname x)) 0)) #\E) + (> (length s) 1) + (spadreduce and 0 (collect (step i 1 1 (maxindex s)) + (digitp (elt s i))))) + (read-from-string s t nil :start 1))) \end{chunk} -\defun{PARSE-Sequence1}{PARSE-Sequence1} -\calls{PARSE-Sequence1}{PARSE-Expression} -\calls{PARSE-Sequence1}{push-reduction} -\calls{PARSE-Sequence1}{pop-stack-2} -\calls{PARSE-Sequence1}{pop-stack-1} -\calls{PARSE-Sequence1}{optional} -\calls{PARSE-Sequence1}{PARSE-IteratorTail} -\begin{chunk}{defun PARSE-Sequence1} -(defun |PARSE-Sequence1| () - (and (or (and (|PARSE-Expression|) - (push-reduction '|PARSE-Sequence1| - (list (pop-stack-2) (pop-stack-1)))) - (push-reduction '|PARSE-Sequence1| (list (pop-stack-1)))) - (optional - (and (|PARSE-IteratorTail|) - (push-reduction '|PARSE-Sequence1| - (cons 'collect - (append (pop-stack-1) - (list (pop-stack-1))))))))) +\subsection{Dollar Translation} + +\defun{dollarTran}{dollarTran} +\usesdollar{dollarTran}{InteractiveMode} +\begin{chunk}{defun dollarTran} +(defun |dollarTran| (dom rand) + (let ((eltWord (if |$InteractiveMode| '|$elt| '|elt|))) + (declare (special |$InteractiveMode|)) + (if (and (not (atom rand)) (cdr rand)) + (cons (list eltWord dom (car rand)) (cdr rand)) + (list eltWord dom rand)))) \end{chunk} -\defun{PARSE-OpenBracket}{PARSE-OpenBracket} -\calls{PARSE-OpenBracket}{getToken} -\calls{PARSE-OpenBracket}{current-symbol} -\calls{PARSE-OpenBracket}{eqcar} -\calls{PARSE-OpenBracket}{push-reduction} -\calls{PARSE-OpenBracket}{action} -\calls{PARSE-OpenBracket}{advance-token} -\begin{chunk}{defun PARSE-OpenBracket} -(defun |PARSE-OpenBracket| () - (let (g1) - (and (eq (|getToken| (setq g1 (current-symbol))) '[) - (must (or (and (eqcar g1 '|elt|) - (push-reduction '|PARSE-OpenBracket| - (list '|elt| (second g1) '|construct|))) - (push-reduction '|PARSE-OpenBracket| '|construct|))) - (action (advance-token)))))) +\subsection{Applying metagrammatical elements of a production (e.g., Star).} +\begin{itemize} +\item {\bf must} means that if it is not present in the token stream, +it is a syntax error. +\item {\bf optional} means that if it is present in the token stream, +that is a good thing, otherwise don't worry (like [ foo ] in BNF notation). +\item {\bf action} is something we do as a consequence of successful +parsing; it is inserted at the end of the conjunction of requirements +for a successful parse, and so should return T. +\item {\bf sequence} consists of a head, which if recognized implies that the +tail must follow. Following tail are actions, which +are performed upon recognizing the head and tail. +\end{itemize} +\defmacro{Bang} +If the execution of prod does not result in an increase in the size of +the stack, then stack a NIL. Return the value of prod. +\begin{chunk}{defmacro bang} +(defmacro bang (lab prod) + `(progn + (setf (stack-updated reduce-stack) nil) + (let* ((prodvalue ,prod) (updated (stack-updated reduce-stack))) + (unless updated (push-reduction ',lab nil)) + prodvalue))) \end{chunk} -\defun{PARSE-OpenBrace}{PARSE-OpenBrace} -\calls{PARSE-OpenBrace}{getToken} -\calls{PARSE-OpenBrace}{current-symbol} -\calls{PARSE-OpenBrace}{eqcar} -\calls{PARSE-OpenBrace}{push-reduction} -\calls{PARSE-OpenBrace}{action} -\calls{PARSE-OpenBrace}{advance-token} -\begin{chunk}{defun PARSE-OpenBrace} -(defun |PARSE-OpenBrace| () - (let (g1) - (and (eq (|getToken| (setq g1 (current-symbol))) '{) - (must (or (and (eqcar g1 '|elt|) - (push-reduction '|PARSE-OpenBrace| - (list '|elt| (second g1) '|brace|))) - (push-reduction '|PARSE-OpenBrace| '|construct|))) - (action (advance-token)))))) +\defmacro{must} +\calls{must}{meta-syntax-error} +\begin{chunk}{defmacro must} +(defmacro must (dothis &optional (this-is nil) (in-rule nil)) + `(or ,dothis (meta-syntax-error ,this-is ,in-rule))) \end{chunk} -\defun{PARSE-IteratorTail}{PARSE-IteratorTail} -\calls{PARSE-IteratorTail}{match-advance-string} -\calls{PARSE-IteratorTail}{bang} -\calls{PARSE-IteratorTail}{optional} -\calls{PARSE-IteratorTail}{star} -\calls{PARSE-IteratorTail}{PARSE-Iterator} -\begin{chunk}{defun PARSE-IteratorTail} -(defun |PARSE-IteratorTail| () - (or (and (match-advance-string "repeat") - (bang fil_test (optional (star repeator (|PARSE-Iterator|))))) - (star repeator (|PARSE-Iterator|)))) +\defun{action}{action} +\begin{chunk}{defun action} +(defun action (dothis) (or dothis t)) \end{chunk} -\defun{PARSE-Iterator}{PARSE-Iterator} -\calls{PARSE-Iterator}{match-advance-string} -\calls{PARSE-Iterator}{must} -\calls{PARSE-Iterator}{PARSE-Primary} -\calls{PARSE-Iterator}{PARSE-Expression} -\calls{PARSE-Iterator}{PARSE-Expr} -\calls{PARSE-Iterator}{pop-stack-3} -\calls{PARSE-Iterator}{pop-stack-2} -\calls{PARSE-Iterator}{pop-stack-1} -\calls{PARSE-Iterator}{optional} -\begin{chunk}{defun PARSE-Iterator} -(defun |PARSE-Iterator| () - (or (and (match-advance-string "for") (must (|PARSE-Primary|)) - (must (match-advance-string "in")) - (must (|PARSE-Expression|)) - (must (or (and (match-advance-string "by") - (must (|PARSE-Expr| 200)) - (push-reduction '|PARSE-Iterator| - (list 'inby (pop-stack-3) - (pop-stack-2) (pop-stack-1)))) - (push-reduction '|PARSE-Iterator| - (list 'in (pop-stack-2) (pop-stack-1))))) - (optional - (and (match-advance-string "|") - (must (|PARSE-Expr| 111)) - (push-reduction '|PARSE-Iterator| - (list '|\|| (pop-stack-1)))))) - (and (match-advance-string "while") (must (|PARSE-Expr| 190)) - (push-reduction '|PARSE-Iterator| - (list 'while (pop-stack-1)))) - (and (match-advance-string "until") (must (|PARSE-Expr| 190)) - (push-reduction '|PARSE-Iterator| - (list 'until (pop-stack-1)))))) +\defun{optional}{optional} +\begin{chunk}{defun optional} +(defun optional (dothis) (or dothis t)) \end{chunk} -\subsection{The PARSE implicit routines} -These symbols are not explicitly referenced in the source. -Nevertheless, they are called during runtime. For example, -PARSE-SemiColon is called in the chain: -\begin{verbatim} - PARSE-Enclosure {loc0=nil,loc1="(V ==> Vector; "} [ihs=35] - PARSE-Expr - PARSE-LedPart - PARSE-Operation - PARSE-getSemanticForm - PARSE-SemiColon -\end{verbatim} -so there is a bit of indirection involved in the call. -\defun{PARSE-Suffix}{PARSE-Suffix} -\calls{PARSE-Suffix}{push-reduction} -\calls{PARSE-Suffix}{current-symbol} -\calls{PARSE-Suffix}{action} -\calls{PARSE-Suffix}{advance-token} -\calls{PARSE-Suffix}{optional} -\calls{PARSE-Suffix}{PARSE-TokTail} -\calls{PARSE-Suffix}{pop-stack-1} -\begin{chunk}{defun PARSE-Suffix} -(defun |PARSE-Suffix| () - (and (push-reduction '|PARSE-Suffix| (current-symbol)) - (action (advance-token)) (optional (|PARSE-TokTail|)) - (push-reduction '|PARSE-Suffix| - (list (pop-stack-1) (pop-stack-1))))) +\defmacro{star} +Succeeds if there are one or more of PROD, stacking as one unit +the sub-reductions of PROD and labelling them with LAB. +E.G., {\tt (Star IDs (parse-id))} with A B C will stack (3 IDs (A B C)), +where (parse-id) would stack (1 ID (A)) when applied once. +\calls{star}{stack-size} +\calls{star}{push-reduction} +\calls{star}{pop-stack-1} +\begin{chunk}{defmacro star} +(defmacro star (lab prod) + `(prog ((oldstacksize (stack-size reduce-stack))) + (if (not ,prod) (return nil)) +loop + (if (not ,prod) + (let* ((newstacksize (stack-size reduce-stack)) + (number-of-new-reductions (- newstacksize oldstacksize))) + (if (> number-of-new-reductions 0) + (return (do ((i 0 (1+ i)) (accum nil)) + ((= i number-of-new-reductions) + (push-reduction ',lab accum) + (return t)) + (push (pop-stack-1) accum))) + (return t))) + (go loop)))) \end{chunk} +\subsection{Stacking and retrieving reductions of rules.} -\defun{PARSE-SemiColon}{PARSE-SemiColon} -\calls{PARSE-SemiColon}{match-advance-string} -\calls{PARSE-SemiColon}{must} -\calls{PARSE-SemiColon}{PARSE-Expr} -\calls{PARSE-SemiColon}{push-reduction} -\calls{PARSE-SemiColon}{pop-stack-2} -\calls{PARSE-SemiColon}{pop-stack-1} -\begin{chunk}{defun PARSE-SemiColon} -(defun |PARSE-SemiColon| () - (and (match-advance-string ";") - (must (or (|PARSE-Expr| 82) - (push-reduction '|PARSE-SemiColon| '|/throwAway|))) - (push-reduction '|PARSE-SemiColon| - (list '|;| (pop-stack-2) (pop-stack-1))))) +\defvar{reduce-stack} +Stack of results of reduced productions. +\usesstruct{reduce-stack}{stack} +\begin{chunk}{initvars} +(defvar reduce-stack (make-stack) ) \end{chunk} -\defun{PARSE-Return}{PARSE-Return} -\calls{PARSE-Return}{match-advance-string} -\calls{PARSE-Return}{must} -\calls{PARSE-Return}{PARSE-Expression} -\calls{PARSE-Return}{push-reduction} -\calls{PARSE-Return}{pop-stack-1} -\begin{chunk}{defun PARSE-Return} -(defun |PARSE-Return| () - (and (match-advance-string "return") (must (|PARSE-Expression|)) - (push-reduction '|PARSE-Return| - (list '|return| (pop-stack-1))))) +\defmacro{reduce-stack-clear} +\begin{chunk}{defmacro reduce-stack-clear} +(defmacro reduce-stack-clear () `(stack-load nil reduce-stack)) \end{chunk} -\defun{PARSE-Exit}{PARSE-Exit} -\calls{PARSE-Exit}{match-advance-string} -\calls{PARSE-Exit}{must} -\calls{PARSE-Exit}{PARSE-Expression} -\calls{PARSE-Exit}{push-reduction} -\calls{PARSE-Exit}{pop-stack-1} -\begin{chunk}{defun PARSE-Exit} -(defun |PARSE-Exit| () - (and (match-advance-string "exit") - (must (or (|PARSE-Expression|) - (push-reduction '|PARSE-Exit| '|$NoValue|))) - (push-reduction '|PARSE-Exit| - (list '|exit| (pop-stack-1))))) +\defun{push-reduction}{push-reduction} +\calls{push-reduction}{stack-push} +\calls{push-reduction}{make-reduction} +\uses{push-reduction}{reduce-stack} +\begin{chunk}{defun push-reduction} +(defun push-reduction (rule redn) + (stack-push (make-reduction :rule rule :value redn) reduce-stack)) \end{chunk} -\defun{PARSE-Leave}{PARSE-Leave} -\calls{PARSE-Leave}{match-advance-string} -\calls{PARSE-Leave}{PARSE-Expression} -\calls{PARSE-Leave}{must} -\calls{PARSE-Leave}{push-reduction} -\calls{PARSE-Leave}{PARSE-Label} -\calls{PARSE-Leave}{pop-stack-1} -\begin{chunk}{defun PARSE-Leave} -(defun |PARSE-Leave| () - (and (match-advance-string "leave") - (must (or (|PARSE-Expression|) - (push-reduction '|PARSE-Leave| '|$NoValue|))) - (must (or (and (match-advance-string "from") - (must (|PARSE-Label|)) - (push-reduction '|PARSE-Leave| - (list '|leaveFrom| (pop-stack-1) (pop-stack-1)))) - (push-reduction '|PARSE-Leave| - (list '|leave| (pop-stack-1))))))) +\chapter{Comment handlers} +\defun{recordSignatureDocumentation}{recordSignatureDocumentation} +\calls{recordSignatureDocumentation}{recordDocumentation} +\calls{recordSignatureDocumentation}{postTransform} +\begin{chunk}{defun recordSignatureDocumentation} +(defun |recordSignatureDocumentation| (opSig lineno) + (|recordDocumentation| (cdr (|postTransform| opSig)) lineno)) \end{chunk} -\defun{PARSE-Seg}{PARSE-Seg} -\calls{PARSE-Seg}{PARSE-GliphTok} -\calls{PARSE-Seg}{bang} -\calls{PARSE-Seg}{optional} -\calls{PARSE-Seg}{PARSE-Expression} -\calls{PARSE-Seg}{push-reduction} -\calls{PARSE-Seg}{pop-stack-2} -\calls{PARSE-Seg}{pop-stack-1} -\begin{chunk}{defun PARSE-Seg} -(defun |PARSE-Seg| () - (and (|PARSE-GliphTok| '|..|) - (bang fil_test (optional (|PARSE-Expression|))) - (push-reduction '|PARSE-Seg| - (list 'segment (pop-stack-2) (pop-stack-1))))) + +\defun{recordAttributeDocumentation}{recordAttributeDocumentation} +\calls{recordAttributeDocumentation}{opOf} +\calls{recordAttributeDocumentation}{pname} +\calls{recordAttributeDocumentation}{upper-case-p} +\calls{recordAttributeDocumentation}{recordDocumentation} +\calls{recordAttributeDocumentation}{ifcdr} +\calls{recordAttributeDocumentation}{postTransform} +\begin{chunk}{defun recordAttributeDocumentation} +(defun |recordAttributeDocumentation| (arg lineno) + (let (att name) + (setq att (cadr arg)) + (setq name (|opOf| att)) + (cond + ((upper-case-p (elt (pname name) 0)) nil) + (t + (|recordDocumentation| + (list name (cons '|attribute| (ifcdr (|postTransform| att)))) lineno))))) + +\end{chunk} + +\defun{recordDocumentation}{recordDocumentation} +\calls{recordDocumentation}{recordHeaderDocumentation} +\calls{recordDocumentation}{collectComBlock} +\defsdollar{recordDocumentation}{maxSignatureLineNumber} +\defsdollar{recordDocumentation}{docList} +\begin{chunk}{defun recordDocumentation} +(defun |recordDocumentation| (key lineno) + (let (u) + (declare (special |$docList| |$maxSignatureLineNumber|)) + (|recordHeaderDocumentation| lineno) + (setq u (|collectComBlock| lineno)) + (setq |$maxSignatureLineNumber| lineno) + (setq |$docList| (cons (cons key u) |$docList|)))) \end{chunk} -\defun{PARSE-Conditional}{PARSE-Conditional} -\calls{PARSE-Conditional}{match-advance-string} -\calls{PARSE-Conditional}{must} -\calls{PARSE-Conditional}{PARSE-Expression} -\calls{PARSE-Conditional}{bang} -\calls{PARSE-Conditional}{optional} -\calls{PARSE-Conditional}{PARSE-ElseClause} -\calls{PARSE-Conditional}{push-reduction} -\calls{PARSE-Conditional}{pop-stack-3} -\calls{PARSE-Conditional}{pop-stack-2} -\calls{PARSE-Conditional}{pop-stack-1} -\begin{chunk}{defun PARSE-Conditional} -(defun |PARSE-Conditional| () - (and (match-advance-string "if") (must (|PARSE-Expression|)) - (must (match-advance-string "then")) (must (|PARSE-Expression|)) - (bang fil_test - (optional - (and (match-advance-string "else") - (must (|PARSE-ElseClause|))))) - (push-reduction '|PARSE-Conditional| - (list '|if| (pop-stack-3) (pop-stack-2) (pop-stack-1))))) +\defun{recordHeaderDocumentation}{recordHeaderDocumentation} +\calls{recordHeaderDocumentation}{assocright} +\refsdollar{recordHeaderDocumentation}{maxSignatureLineNumber} +\refsdollar{recordHeaderDocumentation}{comblocklist} +\refsdollar{recordHeaderDocumentation}{headerDocumentation} +\defsdollar{recordHeaderDocumentation}{headerDocumentation} +\defsdollar{recordHeaderDocumentation}{comblocklist} +\begin{chunk}{defun recordHeaderDocumentation} +(defun |recordHeaderDocumentation| (lineno) + (let (al) + (declare (special |$headerDocumentation| |$maxSignatureLineNumber| + $comblocklist)) + (when (eql |$maxSignatureLineNumber| 0) + (setq al + (loop for p in $comblocklist + when (or (null (car p)) (null lineno) (> lineno (car p))) + collect p)) + (setq $comblocklist (setdifference $comblocklist al)) + (setq |$headerDocumentation| (assocright al)) + (when |$headerDocumentation| (setq |$maxSignatureLineNumber| 1)) + |$headerDocumentation|))) \end{chunk} -\defun{PARSE-ElseClause}{PARSE-ElseClause} -\calls{PARSE-ElseClause}{current-symbol} -\calls{PARSE-ElseClause}{PARSE-Conditional} -\calls{PARSE-ElseClause}{PARSE-Expression} -\begin{chunk}{defun PARSE-ElseClause} -(defun |PARSE-ElseClause| () - (or (and (eq (current-symbol) '|if|) (|PARSE-Conditional|)) - (|PARSE-Expression|))) +\defun{collectComBlock}{collectComBlock} +\calls{collectComBlock}{collectAndDeleteAssoc} +\defsdollar{collectComBlock}{comblocklist} +\begin{chunk}{defun collectComBlock} +(defun |collectComBlock| (x) + (let (val u) + (declare (special $comblocklist)) + (cond + ((and (consp $comblocklist) + (consp (qcar $comblocklist)) + (equal (qcaar $comblocklist) x)) + (setq val (qcdar $comblocklist)) + (setq u (append val (|collectAndDeleteAssoc| x))) + (setq $comblocklist (cdr $comblocklist)) + u) + (t (|collectAndDeleteAssoc| x))))) \end{chunk} -\defun{PARSE-Loop}{PARSE-Loop} -\calls{PARSE-Loop}{star} -\calls{PARSE-Loop}{PARSE-Iterator} -\calls{PARSE-Loop}{must} -\calls{PARSE-Loop}{match-advance-string} -\calls{PARSE-Loop}{PARSE-Expr} -\calls{PARSE-Loop}{push-reduction} -\calls{PARSE-Loop}{pop-stack-2} -\calls{PARSE-Loop}{pop-stack-1} -\begin{chunk}{defun PARSE-Loop} -(defun |PARSE-Loop| () - (or (and (star repeator (|PARSE-Iterator|)) - (must (match-advance-string "repeat")) - (must (|PARSE-Expr| 110)) - (push-reduction '|PARSE-Loop| - (cons 'repeat - (append (pop-stack-2) (list (pop-stack-1)))))) - (and (match-advance-string "repeat") (must (|PARSE-Expr| 110)) - (push-reduction '|PARSE-Loop| - (list 'repeat (pop-stack-1)))))) +\defun{collectAndDeleteAssoc}{collectAndDeleteAssoc} +\begin{verbatim} + u is (.. (x . a) .. (x . b) .. ) ==> (a b ..) +\end{verbatim} +deleting entries from u assumes that the first element is useless +\refsdollar{collectAndDeleteAssoc}{comblocklist} +\begin{chunk}{defun collectAndDeleteAssoc} +(defun |collectAndDeleteAssoc| (x) + (let (r res s) + (declare (special $comblocklist)) + (maplist + #'(lambda (y) + (when (setq s (cdr y)) + (do () + ((null (and s (consp (car s)) (equal (qcar (car s)) x))) nil) + (setq r (qcdr (car s))) + (setq res (append res r)) + (setq s (cdr s)) + (rplacd y s)))) + $comblocklist) + res)) \end{chunk} -\defun{PARSE-LabelExpr}{PARSE-LabelExpr} -\calls{PARSE-LabelExpr}{PARSE-Label} -\calls{PARSE-LabelExpr}{must} -\calls{PARSE-LabelExpr}{PARSE-Expr} -\calls{PARSE-LabelExpr}{push-reduction} -\calls{PARSE-LabelExpr}{pop-stack-2} -\calls{PARSE-LabelExpr}{pop-stack-1} -\begin{chunk}{defun PARSE-LabelExpr} -(defun |PARSE-LabelExpr| () - (and (|PARSE-Label|) (must (|PARSE-Expr| 120)) - (push-reduction '|PARSE-LabelExpr| - (list 'label (pop-stack-2) (pop-stack-1))))) +\defun{finalizeDocumentation}{finalizeDocumentation} +\calls{finalizeDocumentation}{bright} +\calls{finalizeDocumentation}{sayMSG} +\calls{finalizeDocumentation}{stringimage} +\calls{finalizeDocumentation}{strconc} +\calls{finalizeDocumentation}{sayKeyedMsg} +\calls{finalizeDocumentation}{form2String} +\calls{finalizeDocumentation}{formatOpSignature} +\calls{finalizeDocumentation}{transDocList} +\calls{finalizeDocumentation}{msubst} +\calls{finalizeDocumentation}{assocleft} +\calls{finalizeDocumentation}{remdup} +\calls{finalizeDocumentation}{macroExpand} +\calls{finalizeDocumentation}{sublislis} +\refsdollar{finalizeDocumentation}{e} +\refsdollar{finalizeDocumentation}{lisplibForm} +\refsdollar{finalizeDocumentation}{docList} +\refsdollar{finalizeDocumentation}{op} +\refsdollar{finalizeDocumentation}{comblocklist} +\refsdollar{finalizeDocumentation}{FormalMapVariableList} +\begin{chunk}{defun finalizeDocumentation} +(defun |finalizeDocumentation| () + (labels ( + (fn (x env) + (declare (special |$lisplibForm| |$FormalMapVariableList|)) + (cond + ((atom x) (list x nil)) + (t + (when (> (|#| x) 2) (setq x (take 2 x))) + (sublislis |$FormalMapVariableList| (cdr |$lisplibForm|) + (|macroExpand| x env))))) + (hn (u) + ; ((op,sig,doc), ...) --> ((op ((sig doc) ...)) ...) + (let (opList op1 sig doc) + (setq oplist (remdup (assocleft u))) + (loop for op in opList + collect + (cons op + (loop for item in u + do (setq op1 (first item)) + (setq sig (second item)) + (setq doc (third item)) + when (equal op op1) + collect + (list sig doc))))))) + (let (unusedCommentLineNumbers docList u noHeading attributes + signatures name bigcnt op s litcnt a n r sig) + (declare (special |$e| |$lisplibForm| |$docList| |$op| $comblocklist)) + (setq unusedCommentLineNumbers + (loop for x in $comblocklist + when (cdr x) + collect x)) + (setq docList (msubst '$ '% (|transDocList| |$op| |$docList|))) + (cond + ((setq u + (loop for item in docList + when (null (cdr item)) + collect (car item))) + (loop for y in u + do + (cond + ((eq y '|constructor|) (setq noHeading t)) + ((and (consp y) (consp (qcdr y)) (eq (qcddr y) nil) + (consp (qcadr y)) (eq (qcaadr y) '|attribute|)) + (setq attributes (cons (cons (qcar y) (qcdadr y)) attributes))) + (t (setq signatures (cons y signatures))))) + (setq name (CAR |$lisplibForm|)) + (when (or noHeading signatures attributes unusedCommentLineNumbers) + (|sayKeyedMsg| 'S2CD0001 nil) + (setq bigcnt 1) + (when (or noHeading signatures attributes) + (|sayKeyedMsg| 'S2CD0002 (list (strconc (stringimage bigcnt) ".") name)) + (setq bigcnt (1+ bigcnt)) + (setq litcnt 1) + (when noHeading + (|sayKeyedMsg| 'S2CD0003 + (list (strconc "(" (stringimage litcnt) ")") name)) + (setq litcnt (1+ litcnt))) + (when signatures + (|sayKeyedMsg| 'S2CD0004 + (list (strconc "(" (stringimage litcnt) ")"))) + (setq litcnt (1+ litcnt)) + (loop for item in signatures + do + (setq op (first item)) + (setq sig (second item)) + (setq s (|formatOpSignature| op sig)) + (|sayMSG| + (if (atom s) + (list '|%x9| s) + (cons '|%x9| s))))) + (when attributes + (|sayKeyedMsg| 'S2CD0005 + (list (strconc "(" (stringimage litcnt) ")"))) + (setq litcnt (1+ litcnt)) + (DO ((G166491 attributes + (CDR G166491)) + (x NIL)) + ((OR (ATOM G166491) + (PROGN + (SETQ x (CAR G166491)) + NIL)) + NIL) + (SEQ (EXIT + (PROGN + (setq a (|form2String| x)) + (|sayMSG| + (COND + ((ATOM a) + (CONS '|%x9| (CONS a NIL))) + ('T (CONS '|%x9| a)))))))))) + (when unusedCommentLineNumbers + (|sayKeyedMsg| 'S2CD0006 + (list (strconc (stringimage bigcnt) ".") name)) + (loop for item in unusedCommentLineNumbers + do + (setq r (second item)) + (|sayMSG| (cons " " (append (|bright| n) (list " " r))))))))) + (hn + (loop for item in docList + collect (append (fn (car item) |$e|) (cdr item))))))) \end{chunk} -\defun{PARSE-FloatTok}{PARSE-FloatTok} -\calls{PARSE-FloatTok}{parse-number} -\calls{PARSE-FloatTok}{push-reduction} -\calls{PARSE-FloatTok}{pop-stack-1} -\calls{PARSE-FloatTok}{bfp-} -\usesdollar{PARSE-FloatTok}{boot} -\begin{chunk}{defun PARSE-FloatTok} -(defun |PARSE-FloatTok| () - (and (parse-number) - (push-reduction '|PARSE-FloatTok| - (if $boot (pop-stack-1) (bfp- (pop-stack-1)))))) +\section{Transformation of ++ comments} +\defun{transDocList}{transDocList} +\calls{transDocList}{sayBrightly} +\calls{transDocList}{transDoc} +\calls{transDocList}{checkDocError} +\calls{transDocList}{checkDocError1} +\refsdollar{transDocList}{constructorName} +\begin{chunk}{defun transDocList} +(defun |transDocList| (|$constructorName| doclist) + (declare (special |$constructorName|)) + (let (commentList conEntry acc) + (|sayBrightly| + (list " Processing " |$constructorName| " for Browser database:")) + (setq commentList (|transDoc| |$constructorName| doclist)) + (setq acc nil) + (loop for entry in commentList + do + (cond + ((and (consp entry) (eq (qcar entry) '|constructor|) + (consp (qcdr entry)) (eq (qcddr entry) nil)) + (if conEntry + (|checkDocError| (list "Spurious comments: " (qcadr entry))) + (setq conEntry entry))) + (t (setq acc (cons entry acc))))) + (if conEntry + (cons conEntry acc) + (progn + (|checkDocError1| (list "Missing Description")) + acc)))) \end{chunk} +\defun{transDoc}{transDoc} +\calls{transDoc}{checkDocError1} +\calls{transDoc}{checkTrim} +\calls{transDoc}{checkExtract} +\calls{transDoc}{transformAndRecheckComments} +\calls{transDoc}{nreverse} +\refsdollar{transDoc}{x} +\refsdollar{transDoc}{attribute?} +\defsdollar{transDoc}{x} +\defsdollar{transDoc}{attribute?} +\defsdollar{transDoc}{argl} +\begin{chunk}{defun transDoc} +(defun |transDoc| (conname doclist) + (declare (ignore conname)) + (let (|$x| |$attribute?| |$argl| rlist lines u v longline acc) + (declare (special |$x| |$attribute?| |$argl|)) + (setq |$x| nil) + (setq rlist (reverse doclist)) + (loop for item in rlist + do + (setq |$x| (car item)) + (setq lines (cdr item)) + (setq |$attribute?| + (and (consp |$x|) (consp (qcdr |$x|)) (eq (qcddr |$x|) nil) + (consp (qcadr |$x|)) (eq (qcdadr |$x|) nil) + (eq (qcaadr |$x|) '|attribute|))) + (cond + ((null lines) + (unless |$attribute?| (|checkDocError1| (list "Not documented!!!!")))) + (t + (setq u + (|checkTrim| |$x| + (cond + ((stringp lines) (list lines)) + ((eq |$x| '|constructor|) (car lines)) + (t lines)))) + (setq |$argl| nil) ;; possibly unused -- tpd + (setq longline + (cond + ((eq |$x| '|constructor|) + (setq v + (or + (|checkExtract| "Description:" u) + (and u (|checkExtract| "Description:" + (cons (strconc "Description: " (car u)) (cdr u)))))) + (|transformAndRecheckComments| '|constructor| (or v u))) + (t (|transformAndRecheckComments| |$x| u)))) + (setq acc (cons (list |$x| longline) acc))))) + (nreverse acc))) + +\end{chunk} + +\defun{transformAndRecheckComments}{transformAndRecheckComments} +\calls{transformAndRecheckComments}{sayBrightly} +\refsdollar{transformAndRecheckComments}{exposeFlagHeading} +\defsdollar{transformAndRecheckComments}{checkingXmptex?} +\defsdollar{transformAndRecheckComments}{x} +\defsdollar{transformAndRecheckComments}{name} +\defsdollar{transformAndRecheckComments}{origin} +\defsdollar{transformAndRecheckComments}{recheckingFlag} +\defsdollar{transformAndRecheckComments}{exposeFlagHeading} +\begin{chunk}{defun transformAndRecheckComments} +(defun |transformAndRecheckComments| (name lines) + (let (|$x| |$name| |$origin| |$recheckingFlag| |$exposeFlagHeading| u) + (declare (special |$x| |$name| |$origin| |$recheckingFlag| + |$exposeFlagHeading| |$exposeFlag| |$checkingXmptex?|)) + (setq |$checkingXmptex?| nil) + (setq |$x| name) + (setq |$name| '|GlossaryPage|) + (setq |$origin| '|gloss|) + (setq |$recheckingFlag| nil) + (setq |$exposeFlagHeading| (list "--------" name "---------")) + (unless |$exposeFlag| (|sayBrightly| |$exposeFlagHeading|)) + (setq u (|checkComments| name lines)) + (setq |$recheckingFlag| t) + (|checkRewrite| name (list u)) + (setq |$recheckingFlag| nil) + u)) + +\end{chunk} + +\defun{checkRewrite}{checkRewrite} +\calls{checkRewrite}{checkRemoveComments} +\calls{checkRewrite}{checkAddIndented} +\calls{checkRewrite}{checkGetArgs} +\calls{checkRewrite}{newString2Words} +\calls{checkRewrite}{checkAddSpaces} +\calls{checkRewrite}{checkSplit2Words} +\calls{checkRewrite}{checkAddMacros} +\calls{checkRewrite}{checkTexht} +\calls{checkRewrite}{checkArguments} +\calls{checkRewrite}{checkFixCommonProblem} +\calls{checkRewrite}{checkRecordHash} +\calls{checkRewrite}{checkDecorateForHt} +\refsdollar{checkRewrite}{checkErrorFlag} +\refsdollar{checkRewrite}{argl} +\refsdollar{checkRewrite}{checkingXmptex?} +\begin{chunk}{defun checkRewrite} +(defun |checkRewrite| (name lines) + (declare (ignore name)) + (prog (|$checkErrorFlag| margin w verbatim u2 okBefore u) + (declare (special |$checkErrorFlag| |$argl| |$checkingXmptex?|)) + (setq |$checkErrorFlag| t) + (setq margin 0) + (setq lines (|checkRemoveComments| lines)) + (setq u lines) + (when |$checkingXmptex?| + (setq u + (loop for x in u + collect (|checkAddIndented| x margin)))) + (setq |$argl| (|checkGetArgs| (car u))) + (setq u2 nil) + (setq verbatim nil) + (loop for x in u + do + (setq w (|newString2Words| x)) + (cond + (verbatim + (cond + ((and w (equal (car w) "\\end{verbatim}")) + (setq verbatim nil) + (setq u2 (append u2 w))) + (t + (setq u2 (append u2 (list x)))))) + ((and w (equal (car w) "\\begin{verbatim}")) + (setq verbatim t) + (setq u2 (append u2 w))) + (t (setq u2 (append u2 w))))) + (setq u u2) + (setq u (|checkAddSpaces| u)) + (setq u (|checkSplit2Words| u)) + (setq u (|checkAddMacros| u)) + (setq u (|checkTexht| u)) + (setq okBefore (null |$checkErrorFlag|)) + (|checkArguments| u) + (when |$checkErrorFlag| (setq u (|checkFixCommonProblem| u))) + (|checkRecordHash| u) + (|checkDecorateForHt| u))) -\section{The PARSE support routines} -This section is broken up into 3 levels: -\begin{itemize} -\item String grabbing: Match String, Match Advance String -\item Token handling: Current Token, Next Token, Advance Token -\item Character handling: Current Char, Next Char, Advance Char -\item Line handling: Next Line, Print Next Line -\item Error Handling -\item Floating Point Support -\item Dollar Translation -\end{itemize} -\subsection{String grabbing} -String grabbing is the art of matching initial segments of the current -line, and removing them from the line before the get tokenized if they -match (or removing the corresponding current tokens). +\end{chunk} -\defun{match-string}{match-string} -The match-string function returns length of X -if X matches initial segment of inputstream. -\calls{match-string}{unget-tokens} -\calls{match-string}{skip-blanks} -\calls{match-string}{line-past-end-p} -\calls{match-string}{current-char} -\calls{match-string}{initial-substring-p} -\calls{match-string}{subseq} -\usesstruct{match-string}{line} -\uses{match-string}{line} -\begin{chunk}{defun match-string} -(defun match-string (x) - (unget-tokens) ; So we don't get out of synch with token stream - (skip-blanks) - (if (and (not (line-past-end-p current-line)) (current-char) ) - (initial-substring-p x - (subseq (line-buffer current-line) (line-current-index current-line))))) +\defun{checkRecordHash}{checkRecordHash} +\calls{checkRecordHash}{member} +\calls{checkRecordHash}{checkLookForLeftBrace} +\calls{checkRecordHash}{checkLookForRightBrace} +\calls{checkRecordHash}{ifcdr} +\calls{checkRecordHash}{intern} +\calls{checkRecordHash}{hget} +\calls{checkRecordHash}{hput} +\calls{checkRecordHash}{checkGetLispFunctionName} +\calls{checkRecordHash}{checkGetStringBeforeRightBrace} +\calls{checkRecordHash}{checkGetParse} +\calls{checkRecordHash}{checkDocError} +\calls{checkRecordHash}{opOf} +\calls{checkRecordHash}{spadSysChoose} +\calls{checkRecordHash}{checkNumOfArgs} +\calls{checkRecordHash}{checkIsValidType} +\calls{checkRecordHash}{form2HtString} +\calls{checkRecordHash}{getl} +\refsdollar{checkRecordHash}{charBack} +\refsdollar{checkRecordHash}{HTlinks} +\refsdollar{checkRecordHash}{htHash} +\refsdollar{checkRecordHash}{HTlisplinks} +\refsdollar{checkRecordHash}{lispHash} +\refsdollar{checkRecordHash}{glossHash} +\refsdollar{checkRecordHash}{currentSysList} +\refsdollar{checkRecordHash}{setOptions} +\refsdollar{checkRecordHash}{sysHash} +\refsdollar{checkRecordHash}{name} +\refsdollar{checkRecordHash}{origin} +\defsdollar{checkRecordHash}{sysHash} +\defsdollar{checkRecordHash}{glossHash} +\defsdollar{checkRecordHash}{lispHash} +\defsdollar{checkRecordHash}{htHash} +\begin{chunk}{defun checkRecordHash} +(defun |checkRecordHash| (u) + (let (p q htname entry s parse n key x) + (declare (special |$origin| |$name| |$sysHash| |$setOptions| |$glossHash| + |$currentSysList| |$lispHash| |$HTlisplinks| |$htHash| + |$HTlinks| |$charBack|)) + (loop while u + do + (setq x (car u)) + (when (and (stringp x) (equal (elt x 0) |$charBack|)) + (cond + ((and (|member| x |$HTlinks|) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (|checkLookForRightBrace| (ifcdr u))) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (setq htname (|intern| (ifcar u))) + (setq entry (or (hget |$htHash| htname) (list nil))) + (hput |$htHash| htname + (cons (car entry) (cons (cons |$name| |$origin|) (cdr entry))))) + ((and (|member| x |$HTlisplinks|) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (|checkLookForRightBrace| (ifcdr u))) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (setq htname + (|intern| + (|checkGetLispFunctionName| + (|checkGetStringBeforeRightBrace| u)))) + (setq entry (or (hget |$lispHash| htname) (list nil))) + (hput |$lispHash| htname + (cons (car entry) (cons (cons |$name| |$origin|) (cdr entry))))) + ((and (or (setq p (|member| x '("\\gloss" "\\spadglos"))) + (setq q (|member| x '("\\glossSee" "\\spadglosSee")))) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (when q + (setq u (|checkLookForRightBrace| u)) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (setq htname (|intern| (|checkGetStringBeforeRightBrace| u))) + (setq entry + (or (hget |$glossHash| htname) (list nil))) + (hput |$glossHash| htname + (cons (car entry) (cons (cons |$name| |$origin|) (cdr entry))))) + ((and (boot-equal x "\\spadsys") + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (setq s (|checkGetStringBeforeRightBrace| u)) + (when (char= (elt s 0) #\)) (setq s (substring s 1 nil))) + (setq parse (|checkGetParse| s)) + (cond + ((null parse) + (|checkDocError| (list "Unparseable \\spadtype: " s))) + ((null (|member| (|opOf| parse) |$currentSysList|)) + (|checkDocError| (list "Bad system command: " s))) + ((or (atom parse) + (null (and (consp parse) (eq (qcar parse) '|set|) + (consp (qcdr parse)) + (eq (qcddr parse) nil)))) + '|ok|) + ((null (|spadSysChoose| |$setOptions| (qcadr parse))) + (progn + (|checkDocError| (list "Incorrect \\spadsys: " s)) + (setq entry (or (hget |$sysHash| htname) (list nil))) + (hput |$sysHash| htname + (cons (car entry) (cons (cons |$name| |$origin|) (cdr entry)))))))) + ((and (boot-equal x "\\spadtype") + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (setq s (|checkGetStringBeforeRightBrace| u)) + (setq parse (|checkGetParse| s)) + (cond + ((null parse) + (|checkDocError| (list "Unparseable \\spadtype: " s))) + (t + (setq n (|checkNumOfArgs| parse)) + (cond + ((null n) + (|checkDocError| (list "Unknown \\spadtype: " s))) + ((and (atom parse) (> n 0)) + '|skip|) + ((null (setq key (|checkIsValidType| parse))) + (|checkDocError| (list "Unknown \\spadtype: " s))) + ((atom key) '|ok|) + (t + (|checkDocError| + (list "Wrong number of arguments: " (|form2HtString| key)))))))) + ((and (|member| x '("\\spadop" "\\keyword")) + (setq u (|checkLookForLeftBrace| (ifcdr u))) + (setq u (ifcdr u))) + (setq x (|intern| (|checkGetStringBeforeRightBrace| u))) + (when (null (or (getl x '|Led|) (getl x '|Nud|))) + (|checkDocError| (list "Unknown \\spadop: " x)))))) + (pop u)) + '|done|)) \end{chunk} -\defun{skip-blanks}{skip-blanks} -\calls{skip-blanks}{current-char} -\calls{skip-blanks}{token-lookahead-type} -\calls{skip-blanks}{advance-char} -\begin{chunk}{defun skip-blanks} -(defun skip-blanks () - (loop (let ((cc (current-char))) - (if (not cc) (return nil)) - (if (eq (token-lookahead-type cc) 'white) - (if (not (advance-char)) (return nil)) - (return t))))) - +\defun{checkGetParse}{checkGetParse} +\calls{checkGetParse}{ncParseFromString} +\calls{checkGetParse}{removeBackslashes} +\begin{chunk}{defun checkGetParse} +(defun |checkGetParse| (s) + (|ncParseFromString| (|removeBackslashes| s))) + \end{chunk} -\begin{chunk}{initvars} -(defvar Escape-Character #\\ "Superquoting character.") +\defun{removeBackslashes}{removeBackslashes} +\calls{removeBackslashes}{charPosition} +\calls{removeBackslashes}{removeBackslashes} +\calls{removeBackslashes}{strconc} +\calls{removeBackslashes}{length} +\refsdollar{removeBackslashes}{charBack} +\begin{chunk}{defun removeBackslashes} +(defun |removeBackslashes| (s) + (let (k) + (declare (special |$charBack|)) + (cond + ((string= s "") "") + ((> (|#| s) (setq k (|charPosition| |$charBack| s 0))) + (if (eql k 0) + (|removeBackslashes| (substring s 1 nil)) + (strconc (substring s 0 k) + (|removeBackslashes| (substring s (1+ k) nil))))) + (t s)))) + +\end{chunk} + +\defun{checkTexht}{checkTexht} +\calls{checkTexht}{ifcar} +\calls{checkTexht}{checkDocError} +\calls{checkTexht}{nequal} +\refsdollar{checkTexht}{charRbrace} +\refsdollar{checkTexht}{charLbrace} +\begin{chunk}{defun checkTexht} +(defun |checkTexht| (u) + (let (count y x acc) + (declare (special |$charRbrace| |$charLbrace|)) + (setq count 0) + (loop while u + do + (setq x (car u)) + (when (and (string= x "\\texht") (setq u (ifcdr u))) + (when (null (equal (ifcar u) |$charLbrace|)) + (|checkDocError| "First left brace after \\texht missing")) + ; drop first argument including braces of texht + (setq count 1) + (do () + ((null (or (nequal (setq y (ifcar (setq u (cdr u)))) |$charRbrace|) + (> count 1))) + nil) + (when (equal y |$charLbrace|) (setq count (1+ count))) + (when (equal y |$charRbrace|) (setq count (1- count)))) + ; drop first right brace of 1st arg + (setq x (ifcar (setq u (cdr u))))) + (when (and (string= x "\\httex") (setq u (ifcdr u)) + (equal (ifcar u) |$charLbrace|)) + (setq acc (cons (ifcar u) acc)) + (do () + ((null (nequal (setq y (ifcar (setq u (cdr u)))) |$charRbrace|)) + nil) + (setq acc (cons y acc))) + (setq acc (cons (ifcar u) acc)) ; left brace: add it + (setq x (ifcar (setq u (cdr u)))) ; left brace: forget it + (do () + ((null (nequal (ifcar (setq u (cdr u))) |$charRbrace|)) + nil) + '|skip|) + ; forget right brace; move to next character + (setq x (ifcar (setq u (cdr u))))) + (setq acc (cons x acc)) + (pop u)) + (nreverse acc))) + +\end{chunk} + +\defun{checkDecorateForHt}{checkDecorateForHt} +\calls{checkDecorateForHt}{checkDocError} +\calls{checkDecorateForHt}{member} +\refsdollar{checkDecorateForHt}{checkingXmptex?} +\refsdollar{checkDecorateForHt}{charRbrace} +\refsdollar{checkDecorateForHt}{charLbrace} +\begin{chunk}{defun checkDecorateForHt} +(defun |checkDecorateForHt| (u) + (let (x count spadflag) + (declare (special |$checkingXmptex?| |$charRbrace| |$charLbrace|)) + (setq count 0) + (setq spadflag nil) + (loop while u + do + (setq x (car u)) + (when (equal x "\\em") + (if (> count 0) + (setq spadflag (1- count)) + (|checkDocError| (list "\\em must be enclosed in braces")))) + (cond + ((|member| x '("\\s" "\\spadop" "\\spadtype" "\\spad" "\\spadpaste" + "\\spadcommand" "\\footnote")) + (setq spadflag count)) + ((equal x |$charLbrace|) + (setq count (1+ count))) + ((equal x |$charRbrace|) + (setq count (1- count)) + (when (equal spadflag count) (setq spadflag nil))) + ((and (null spadflag) (|member| x '("+" "*" "=" "==" "->"))) + (when |$checkingXmptex?| + (|checkDocError| (list '|Symbol | x " appearing outside \\spad{}")))) + (t nil)) + (when (or (equal x "$") (equal x "%")) + (|checkDocError| (list "Unescaped " x))) + (pop u)) + u)) \end{chunk} -\defun{token-lookahead-type}{token-lookahead-type} -\uses{token-lookahead-type}{Escape-Character} -\begin{chunk}{defun token-lookahead-type} -(defun token-lookahead-type (char) - "Predicts the kind of token to follow, based on the given initial character." - (declare (special Escape-Character)) - (cond - ((not char) 'eof) - ((or (char= char Escape-Character) (alpha-char-p char)) 'id) - ((digitp char) 'num) - ((char= char #\') 'string) - ((char= char #\[) 'bstring) - ((member char '(#\Space #\Tab #\Return) :test #'char=) 'white) - (t 'special-char))) - +\defun{checkDocError1}{checkDocError1} +\calls{checkDocError1}{checkDocError} +\refsdollar{checkDocError1}{compileDocumentation} +\begin{chunk}{defun checkDocError1} +(defun |checkDocError1| (u) + (declare (special |$compileDocumentation|)) + (if (and (boundp '|$compileDocumentation|) |$compileDocumentation|) + nil + (|checkDocError| u))) + \end{chunk} -\defun{match-advance-string}{match-advance-string} -The match-string function returns length of X -if X matches initial segment of inputstream. -If it is successful, advance inputstream past X. -\calls{match-advance-string}{quote-if-string} -\calls{match-advance-string}{current-token} -\calls{match-advance-string}{match-string} -\calls{match-advance-string}{line-current-index} -\calls{match-advance-string}{line-past-end-p} -\calls{match-advance-string}{line-current-char} -\usesstruct{match-advance-string}{token} -\usesstruct{match-advance-string}{line} -\begin{chunk}{defun match-advance-string} -(defun match-advance-string (x) - (let ((y (if (>= (length (string x)) - (length (string (quote-if-string (current-token))))) - (match-string x) - nil))) ; must match at least the current token - (when y - (incf (line-current-index current-line) y) - (if (not (line-past-end-p current-line)) - (setf (line-current-char current-line) - (elt (line-buffer current-line) - (line-current-index current-line))) - (setf (line-current-char current-line) #\space)) - (setq prior-token - (make-token :symbol (intern (string x)) - :type 'identifier - :nonblank nonblank)) - t))) +\defun{checkDocError}{checkDocError} +\calls{checkDocError}{checkDocMessage} +\calls{checkDocError}{concat} +\calls{checkDocError}{saybrightly1} +\calls{checkDocError}{sayBrightly} +\refsdollar{checkDocError}{checkErrorFlag} +\refsdollar{checkDocError}{recheckingFlag} +\refsdollar{checkDocError}{constructorName} +\refsdollar{checkDocError}{exposeFlag} +\refsdollar{checkDocError}{exposeFlagHeading} +\refsdollar{checkDocError}{outStream} +\defsdollar{checkDocError}{checkErrorFlag} +\defsdollar{checkDocError}{exposeFlagHeading} +\begin{chunk}{defun checkDocError} +(defun |checkDocError| (u) + (let (msg) + (declare (special |$outStream| |$exposeFlag| |$exposeFlagHeading| + |$constructorName| |$recheckingFlag| |$checkErrorFlag|)) + (setq |$checkErrorFlag| t) + (setq msg + (cond + (|$recheckingFlag| + (if |$constructorName| + (|checkDocMessage| u) + (|concat| "> " u))) + (|$constructorName| (|checkDocMessage| u)) + (t u))) + (when (and |$exposeFlag| |$exposeFlagHeading|) + (saybrightly1 |$exposeFlagHeading| |$outStream|) + (|sayBrightly| |$exposeFlagHeading|) + (setq |$exposeFlagHeading| nil)) + (|sayBrightly| msg) + (when |$exposeFlag| (saybrightly1 msg |$outStream|)))) \end{chunk} -\defun{initial-substring-p}{initial-substring-p} -\calls{initial-substring-p}{string-not-greaterp} -\begin{chunk}{defun initial-substring-p} -(defun initial-substring-p (part whole) - "Returns length of part if part matches initial segment of whole." - (let ((x (string-not-greaterp part whole))) - (and x (= x (length part)) x))) +\defun{checkDocMessage}{checkDocMessage} +\calls{checkDocMessage}{getdatabase} +\calls{checkDocMessage}{whoOwns} +\calls{checkDocMessage}{concat} +\refsdollar{checkDocMessage}{x} +\refsdollar{checkDocMessage}{constructorName} +\begin{chunk}{defun checkDocMessage} +(defun |checkDocMessage| (u) + (let (sourcefile person middle) + (declare (special |$constructorName| |$x|)) + (setq sourcefile (getdatabase |$constructorName| 'sourcefile)) + (setq person (or (|whoOwns| |$constructorName|) "---")) + (setq middle + (if (boundp '|$x|) + (list "(" |$x| "): ") + (list ": "))) + (|concat| person ">" sourcefile "-->" |$constructorName| middle u))) \end{chunk} -\defun{quote-if-string}{quote-if-string} -\calls{quote-if-string}{token-type} -\calls{quote-if-string}{strconc} -\calls{quote-if-string}{token-symbol} -\calls{quote-if-string}{underscore} -\calls{quote-if-string}{token-nonblank} -\calls{quote-if-string}{pack} -\calls{quote-if-string}{escape-keywords} -\usesdollar{quote-if-string}{boot} -\usesdollar{quote-if-string}{spad} -\begin{chunk}{defun quote-if-string} -(defun quote-if-string (token) - (declare (special $boot $spad)) - (when token ;only use token-type on non-null tokens - (case (token-type token) - (bstring (strconc "[" (token-symbol token) "]*")) - (string (strconc "'" (token-symbol token) "'")) - (spadstring (strconc "\"" (underscore (token-symbol token)) "\"")) - (number (format nil "~v,'0D" (token-nonblank token) - (token-symbol token))) - (special-char (string (token-symbol token))) - (identifier (let ((id (symbol-name (token-symbol token))) - (pack (package-name (symbol-package - (token-symbol token))))) - (if (or $boot $spad) - (if (string= pack "BOOT") - (escape-keywords (underscore id) (token-symbol token)) - (concatenate 'string - (underscore pack) "'" (underscore id))) - id))) - (t (token-symbol token))))) +\defun{whoOwns}{whoOwns} +This function always returns nil in the current system. +Since it has no side effects we define it to return nil. +\calls{whoOwns}{getdatabase} +\calls{whoOwns}{strconc} +\calls{whoOwns}{awk} +\calls{whoOwns}{shut} +\refsdollar{whoOwns}{exposeFlag} +\begin{chunk}{defun whoOwns} +(defun |whoOwns| (con) nil) +; (let (filename quoteChar instream value) +; (declare (special |$exposeFlag|)) +; (cond +; ((null |$exposeFlag|) nil) +; (t +; (setq filename (getdatabase con 'sourcefile)) +; (setq quoteChar #\") +; (obey (strconc "awk '$2 == " quoteChar filename quoteChar +; " {print $1}' whofiles > /tmp/temp")) +; (setq instream (make-instream "/tmp/temp")) +; (setq value (unless (eofp instream) (readline instream))) +; (shut instream) +; value)))) \end{chunk} -\defun{escape-keywords}{escape-keywords} -\begin{chunk}{defun escape-keywords} -(defun escape-keywords (pname id) - (if (member id keywords) - (concatenate 'string "_" pname) - pname)) +\defun{checkComments}{checkComments} +\calls{checkComments}{checkGetMargin} +\calls{checkComments}{nequal} +\calls{checkComments}{checkTransformFirsts} +\calls{checkComments}{checkIndentedLines} +\calls{checkComments}{checkGetArgs} +\calls{checkComments}{newString2Words} +\calls{checkComments}{checkAddSpaces} +\calls{checkComments}{checkIeEg} +\calls{checkComments}{checkSplit2Words} +\calls{checkComments}{checkBalance} +\calls{checkComments}{checkArguments} +\calls{checkComments}{checkFixCommonProblems} +\calls{checkComments}{checkDecorate} +\calls{checkComments}{strconc} +\calls{checkComments}{checkAddPeriod} +\calls{checkComments}{pp} +\refsdollar{checkComments}{attribute?} +\refsdollar{checkComments}{checkErrorFlag} +\defsdollar{checkComments}{argl} +\defsdollar{checkComments}{checkErrorFlag} +\begin{chunk}{defun checkComments} +(defun |checkComments| (nameSig lines) + (let (|$checkErrorFlag| margin w verbatim u2 okBefore u v res) + (declare (special |$checkErrorFlag| |$argl| |$attribute?|)) + (setq |$checkErrorFlag| nil) + (setq margin (|checkGetMargin| lines)) + (cond + ((and (or (null (boundp '|$attribute?|)) (null |$attribute?|)) + (nequal nameSig '|constructor|)) + (setq lines + (cons + (|checkTransformFirsts| (car nameSig) (car lines) margin) + (cdr lines))))) + (setq u (|checkIndentedLines| lines margin)) + (setq |$argl| (|checkGetArgs| (car u))) + (setq u2 nil) + (setq verbatim nil) + (loop for x in u + do (setq w (|newString2Words| x)) + (cond + (verbatim + (cond + ((and w (equal (car w) "\\end{verbatim}")) + (setq verbatim nil) + (setq u2 (append u2 w))) + (t + (setq u2 (append u2 (list x)))))) + ((and w (equal (car w) "\\begin{verbatim}")) + (setq verbatim t) + (setq u2 (append u2 w))) + (t (setq u2 (append u2 w))))) + (setq u u2) + (setq u (|checkAddSpaces| u)) + (setq u (|checkIeEg| u)) + (setq u (|checkSplit2Words| u)) + (|checkBalance| u) + (setq okBefore (null |$checkErrorFlag|)) + (|checkArguments| u) + (when |$checkErrorFlag| (setq u (|checkFixCommonProblem| u))) + (setq v (|checkDecorate| u)) + (setq res + (let ((result "")) + (loop for y in v + do (setq result (strconc result y))) + result)) + (setq res (|checkAddPeriod| res)) + (when |$checkErrorFlag| (|pp| res)) + res)) \end{chunk} -\defun{isTokenDelimiter}{isTokenDelimiter} -NIL needed below since END\_UNIT is not generated by current parser -\calls{isTokenDelimiter}{current-symbol} -\begin{chunk}{defun isTokenDelimiter} -(defun |isTokenDelimiter| () - (member (current-symbol) '(\) end\_unit nil))) +\defun{checkSplit2Words}{checkSplit2Words} +\calls{checkSplit2Words}{checkSplitBrace} +\begin{chunk}{defun checkSplit2Words} +(defun |checkSplit2Words| (u) + (let (x verbatim z acc) + (setq acc nil) + (loop while u + do + (setq x (car u)) + (setq acc + (cond + ((string= x "\\end{verbatim}") + (setq verbatim nil) + (cons x acc)) + (verbatim (cons x acc)) + ((string= x "\\begin{verbatim}") + (setq verbatim t) + (cons x acc)) + ((setq z (|checkSplitBrace| x)) + (append (nreverse z) acc)) + (t (cons x acc)))) + (pop u)) + (nreverse acc))) + +\end{chunk} + +\defun{checkAddPeriod}{checkAddPeriod} +\calls{checkAddPeriod}{setelt} +\calls{checkAddPeriod}{maxindex} +\begin{chunk}{defun checkAddPeriod} +(defun |checkAddPeriod| (s) + (let (m lastChar) + (setq m (maxindex s)) + (setq lastChar (elt s m)) + (cond + ((or (char= lastChar #\!) (char= lastChar #\?) (char= lastChar #\.)) s) + ((or (char= lastChar #\,) (char= lastChar #\;)) + (setelt s m #\.) + s) + (t s)))) \end{chunk} -\defun{underscore}{underscore} -\calls{underscore}{vector-push} -\begin{chunk}{defun underscore} -(defun underscore (string) - (if (every #'alpha-char-p string) - string - (let* ((size (length string)) - (out-string (make-array (* 2 size) - :element-type 'string-char - :fill-pointer 0)) - next-char) - (dotimes (i size) - (setq next-char (char string i)) - (unless (alpha-char-p next-char) (vector-push #\_ out-string)) - (vector-push next-char out-string)) - out-string))) +\defun{checkBalance}{checkBalance} +\calls{checkPrenAlist}{checkBeginEnd} +\calls{checkPrenAlist}{assoc} +\calls{checkPrenAlist}{rassoc} +\calls{checkPrenAlist}{nequal} +\calls{checkPrenAlist}{checkDocError} +\calls{checkPrenAlist}{checkSayBracket} +\calls{checkPrenAlist}{nreverse} +\refsdollar{checkBalance}{checkPrenAlist} +\begin{chunk}{defun checkBalance} +(defun |checkBalance| (u) + (let (x openClose open top restStack stack) + (declare (special |$checkPrenAlist|)) + (|checkBeginEnd| u) + (setq stack nil) + (loop while u + do + (setq x (car u)) + (cond + ((setq openClose (|assoc| x |$checkPrenAlist|)) + (setq stack (cons (car openClose) stack))) + ((setq open (|rassoc| x |$checkPrenAlist|)) + (cond + ((consp stack) + (setq top (qcar stack)) + (setq restStack (qcdr stack)) + (when (nequal open top) + (|checkDocError| + (list "Mismatch: left " (|checkSayBracket| top) + " matches right " (|checkSayBracket| open)))) + (setq stack restStack)) + (t + (|checkDocError| + (list "Missing left " (|checkSayBracket| open))))))) + (pop u)) + (when stack + (loop for x in (nreverse stack) + do + (|checkDocError| (list "Missing right " (|checkSayBracket| x))))) + u)) \end{chunk} -\subsection{Token Handling} +\defun{checkBeginEnd}{checkBeginEnd} +\calls{checkBeginEnd}{length} +\calls{checkBeginEnd}{hget} +\calls{checkBeginEnd}{ifcar} +\calls{checkBeginEnd}{ifcdr} +\calls{checkBeginEnd}{substring?} +\calls{checkBeginEnd}{checkDocError} +\calls{checkBeginEnd}{member} +\refsdollar{checkBeginEnd}{charRbrace} +\refsdollar{checkBeginEnd}{charLbrace} +\refsdollar{checkBeginEnd}{beginEndList} +\refsdollar{checkBeginEnd}{htMacroTable} +\refsdollar{checkBeginEnd}{charBack} +\begin{chunk}{defun checkBeginEnd} +(defun |checkBeginEnd| (u) + (let (x y beginEndStack) + (declare (special |$charRbrace| |$charLbrace| |$beginEndList| |$charBack| + |$htMacroTable|)) + (loop while u + do + (setq x (car u)) + (cond + ((and (stringp x) (equal (elt x 0) |$charBack|) (> (|#| x) 2) + (null (hget |$htMacroTable| x)) (null (equal x "\\spadignore")) + (equal (ifcar (ifcdr u)) |$charLbrace|) + (null (or (|substring?| "\\radiobox" x 0) + (|substring?| "\\inputbox" x 0)))) + (|checkDocError| (list '|Unexpected HT command: | x))) + ((equal x "\\beginitems") + (setq beginEndStack (cons '|items| beginEndStack))) + ((equal x "\\begin") + (cond + ((and (consp u) (consp (qcdr u)) (equal (qcar (qcdr u)) |$charLbrace|) + (consp (qcddr u)) (equal (car (qcdddr u)) |$charRbrace|)) + (setq y (qcaddr u)) + (cond + ((null (|member| y |$beginEndList|)) + (|checkDocError| (list "Unknown begin type: \\begin{" y "}")))) + (setq beginEndStack (cons y beginEndStack)) + (setq u (qcdddr u))) + (t (|checkDocError| (list "Improper \\begin command"))))) + ((equal x "\\item") + (cond + ((|member| (ifcar beginEndStack) '("items" "menu")) nil) + ((null beginEndStack) + (|checkDocError| (list "\\item appears outside a \\begin-\\end"))) + (t + (|checkDocError| + (list "\\item appears within a \\begin{" + (ifcar beginEndStack) "}.."))))) + ((equal x "\\end") + (cond + ((and (consp u) (consp (qcdr u)) (equal (qcar (qcdr u)) |$charLbrace|) + (consp (qcddr u)) (equal (car (qcdddr u)) |$charRbrace|)) + (setq y (qcaddr u)) + (cond + ((equal y (ifcar beginEndStack)) + (setq beginEndStack (cdr beginEndStack)) + (setq u (qcdddr u))) + (t + (|checkDocError| + (list "Trying to match \\begin{" (ifcar beginEndStack) + "} with \\end{" y "}"))))) + (t + (|checkDocError| (list "Improper \\end command")))))) + (pop u)) + (cond + (beginEndStack + (|checkDocError| (list "Missing \\end{" (car beginEndStack) "}"))) + (t '|ok|)))) -\defun{getToken}{getToken} -\calls{getToken}{eqcar} -\begin{chunk}{defun getToken} -(defun |getToken| (x) - (if (eqcar x '|elt|) (third x) x)) +\end{chunk} + +\defun{checkSayBracket}{checkSayBracket} +\begin{chunk}{defun checkSayBracket} +(defun |checkSayBracket| (x) + (cond + ((or (char= x #\() (char= x #\))) "pren") + ((or (char= x #\{) (char= x #\})) "brace") + (t "bracket"))) \end{chunk} -\defun{unget-tokens}{unget-tokens} -\calls{unget-tokens}{quote-if-string} -\calls{unget-tokens}{line-current-segment} -\calls{unget-tokens}{strconc} -\calls{unget-tokens}{line-number} -\calls{unget-tokens}{token-nonblank} -\calls{unget-tokens}{line-new-line} -\calls{unget-tokens}{line-number} -\uses{unget-tokens}{valid-tokens} -\begin{chunk}{defun unget-tokens} -(defun unget-tokens () - (case valid-tokens - (0 t) - (1 (let* ((cursym (quote-if-string current-token)) - (curline (line-current-segment current-line)) - (revised-line (strconc cursym curline (copy-seq " ")))) - (line-new-line revised-line current-line (line-number current-line)) - (setq nonblank (token-nonblank current-token)) - (setq valid-tokens 0))) - (2 (let* ((cursym (quote-if-string current-token)) - (nextsym (quote-if-string next-token)) - (curline (line-current-segment Current-Line)) - (revised-line - (strconc (if (token-nonblank current-token) "" " ") - cursym - (if (token-nonblank next-token) "" " ") - nextsym curline " "))) - (setq nonblank (token-nonblank current-token)) - (line-new-line revised-line current-line (line-number current-line)) - (setq valid-tokens 0))) - (t (error "How many tokens do you think you have?")))) +\defun{checkArguments}{checkArguments} +\calls{checkArguments}{hget} +\calls{checkArguments}{checkHTargs} +\refsdollar{checkArguments}{htMacroTable} +\begin{chunk}{defun checkArguments} +(defun |checkArguments| (u) + (let (x k) + (declare (special |$htMacroTable|)) + (loop while u + do (setq x (car u)) + (cond + ((null (setq k (hget |$htMacroTable| x))) '|skip|) + ((eql k 0) '|skip|) + ((> k 0) (|checkHTargs| x (cdr u) k nil)) + (t (|checkHTargs| x (cdr u) (- k) t))) + (pop u)) + u)) \end{chunk} -\defun{match-current-token}{match-current-token} -This returns the current token if it has EQ type and (optionally) equal symbol. -\calls{match-current-token}{current-token} -\calls{match-current-token}{match-token} -\begin{chunk}{defun match-current-token} -(defun match-current-token (type &optional (symbol nil)) - (match-token (current-token) type symbol)) +\defun{checkHTargs}{checkHTargs} +Note that {\tt u} should start with an open brace. +\calls{checkHTargs}{checkLookForLeftBrace} +\calls{checkHTargs}{checkLookForRightBrace} +\calls{checkHTargs}{checkDocError} +\calls{checkHTargs}{checkHTargs} +\calls{checkHTargs}{ifcdr} +\begin{chunk}{defun checkHTargs} +(defun |checkHTargs| (keyword u nargs inteerValue?) + (cond + ((eql nargs 0) '|ok|) + ((null (setq u (|checkLookForLeftBrace| u))) + (|checkDocError| (list "Missing argument for " keyword))) + ((null (setq u (|checkLookForRightBrace| (ifcdr u)))) + (|checkDocError| (list "Missing right brace for " keyword))) + (t + (|checkHTargs| keyword (cdr u) (1- nargs) inteerValue?)))) \end{chunk} -\defun{match-token}{match-token} -\calls{match-token}{token-type} -\calls{match-token}{token-symbol} -\begin{chunk}{defun match-token} -(defun match-token (token type &optional (symbol nil)) - (when (and token (eq (token-type token) type)) - (if symbol - (when (equal symbol (token-symbol token)) token) - token))) +\defun{checkLookForLeftBrace}{checkLookForLeftBrace} +\calls{checkLookForLeftBrace}{nequal} +\refsdollar{checkLookForLeftBrace}{charBlank} +\refsdollar{checkLookForLeftBrace}{charLbrace} +\begin{chunk}{defun checkLookForLeftBrace} +(defun |checkLookForLeftBrace| (u) + (declare (special |$charBlank| |$charLbrace|)) + (loop while u + do + (cond + ((equal (car u) |$charLbrace|) (return (car u))) + ((nequal (car u) |$charBlank|) (return nil)) + (t (pop u)))) + u) \end{chunk} -\defun{match-next-token}{match-next-token} -This returns the next token if it has equal type and (optionally) equal symbol. -\calls{match-next-token}{next-token} -\calls{match-next-token}{match-token} -\begin{chunk}{defun match-next-token} -(defun match-next-token (type &optional (symbol nil)) - (match-token (next-token) type symbol)) +\defun{checkLookForRightBrace}{checkLookForRightBrace} +This returns a line beginning with right brace +\refsdollar{checkLookForRightBrace}{charLbrace} +\refsdollar{checkLookForRightBrace}{charRbrace} +\begin{chunk}{defun checkLookForRightBrace} +(defun |checkLookForRightBrace| (u) + (let (found count) + (declare (special |$charLbrace| |$charRbrace|)) + (setq count 0) + (loop while u + do + (cond + ((equal (car u) |$charRbrace|) + (if (eql count 0) + (return (setq found u)) + (setq count (1- count)))) + ((equal (car u) |$charLbrace|) + (setq count (1+ count)))) + (pop u)) + found)) \end{chunk} -\defun{current-symbol}{current-symbol} -\calls{current-symbol}{make-symbol-of} -\calls{current-symbol}{current-token} -\begin{chunk}{defun current-symbol} -(defun current-symbol () - (make-symbol-of (current-token))) +\defun{checkTransformFirsts}{checkTransformFirsts} +\calls{checkTransformFirsts}{pname} +\calls{checkTransformFirsts}{leftTrim} +\calls{checkTransformFirsts}{fillerSpaces} +\calls{checkTransformFirsts}{checkTransformFirsts} +\calls{checkTransformFirsts}{maxindex} +\calls{checkTransformFirsts}{checkSkipToken} +\calls{checkTransformFirsts}{checkSkipBlanks} +\calls{checkTransformFirsts}{getMatchingRightPren} +\calls{checkTransformFirsts}{nequal} +\calls{checkTransformFirsts}{checkDocError} +\calls{checkTransformFirsts}{strconc} +\calls{checkTransformFirsts}{getl} +\calls{checkTransformFirsts}{lassoc} +\refsdollar{checkTransformFirsts}{checkPrenAlist} +\refsdollar{checkTransformFirsts}{charBack} +\begin{chunk}{defun checkTransformFirsts} +(defun |checkTransformFirsts| (opname u margin) + (prog (namestring s m infixOp p open close z n i prefixOp j k firstWord) + (declare (special |$checkPrenAlist| |$charBack|)) + (return + (progn +; case 1: \spad{... +; case 2: form(args) + (setq namestring (pname opname)) + (cond + ((equal namestring "Zero") (setq namestring "0")) + ((equal namestring "One") (setq namestring "1")) + (t nil)) + (cond + ((> margin 0) + (setq s (|leftTrim| u)) + (strconc (|fillerSpaces| margin) (|checkTransformFirsts| opname s 0))) + (t + (setq m (maxindex u)) + (cond + ((> 2 m) u) + ((equal (elt u 0) |$charBack|) u) + ((alpha-char-p (elt u 0)) + (setq i (or (|checkSkipToken| u 0 m) (return u))) + (setq j (or (|checkSkipBlanks| u i m) (return u))) + (setq open (elt u j)) + (cond + ((or (and (equal open #\[) (setq close #\])) + (and (equal open #\() (setq close #\)))) + (setq k (|getMatchingRightPren| u (1+ j) open close)) + (cond + ((nequal namestring (setq firstWord (substring u 0 i))) + (|checkDocError| + (list "Improper first word in comments: " firstWord)) + u) + ((null k) + (cond + ((equal open (|char| '[)) + (|checkDocError| + (list "Missing close bracket on first line: " u))) + (t + (|checkDocError| + (list "Missing close parenthesis on first line: " u)))) + u) + (t + (strconc "\\spad{" (substring u 0 (1+ k)) "}" + (substring u (1+ k) nil))))) + (t + (setq k (or (|checkSkipToken| u j m) (return u))) + (setq infixOp (intern (substring u j (- k j)))) + (cond +; case 3: form arg + ((null (getl infixOp '|Led|)) + (cond + ((nequal namestring (setq firstWord (substring u 0 i))) + (|checkDocError| + (list "Improper first word in comments: " firstWord)) + u) + ((and (eql (|#| (setq p (pname infixOp))) 1) + (setq open (elt p 0)) + (setq close (lassoc open |$checkPrenAlist|))) + (setq z (|getMatchingRightPren| u (1+ k) open close)) + (when (> z (maxindex u)) (setq z (1- k))) + (strconc "\\spad{" (substring u 0 (1+ z)) "}" + (substring u (1+ z) nil))) + (t + (strconc "\\spad{" (substring u 0 k) "}" + (substring u k nil))))) + (t + (setq z (or (|checkSkipBlanks| u k m) (return u))) + (setq n (or (|checkSkipToken| u z m) (return u))) + (cond + ((nequal namestring (pname infixOp)) + (|checkDocError| + (list "Improper initial operator in comments: " infixOp)) + u) + (t + (strconc "\\spad{" (substring u 0 n) "}" + (substring u n nil))))))))) +; case 4: arg op arg + (t + (setq i(or (|checkSkipToken| u 0 m) (return u))) + (cond + ((nequal namestring (setq firstWord (substring u 0 i))) + (|checkDocError| + (list "Improper first word in comments: " firstWord)) + u) + (t + (setq prefixOp (intern (substring u 0 i))) + (cond + ((null (getl prefixOp '|Nud|)) u) + (t + (setq j (or (|checkSkipBlanks| u i m) (return u))) + (cond +; case 5: op arg + ((equal (elt u j) (|char| '|(|)) + (setq j + (|getMatchingRightPren| u (1+ j) (|char| '|(|) (|char| '|)|))) + (cond + ((> j m) u) + (t + (strconc "\\spad{" (substring u 0 (1+ j)) "}" + (substring u (1+ j) nil))))) + (t + (setq k (or (|checkSkipToken| u j m) (return u))) + (cond + ((nequal namestring (setq firstWord (substring u 0 i))) + (|checkDocError| + (list "Improper first word in comments: " firstWord)) + u) + (t + (strconc "\\spad{" (substring u 0 k) "}" + (substring u k nil)))))))))))))))))) \end{chunk} -\defun{make-symbol-of}{make-symbol-of} -\usesstruct{make-symbol-of}{token} -\begin{chunk}{defun make-symbol-of} -(defun make-symbol-of (token) - (let ((u (and token (token-symbol token)))) - (cond - ((not u) nil) - ((characterp u) (intern (string u))) - (u)))) +\defun{checkSkipBlanks}{checkSkipBlanks} +\refsdollar{checkSkipBlanks}{charBlank} +\begin{chunk}{defun checkSkipBlanks} +(defun |checkSkipBlanks| (u i m) + (declare (special |$charBlank|)) + (do () + ((null (and (> m i) (equal (elt u i) |$charBlank|))) nil) + (setq i (1+ i))) + (unless (= i m) i)) + +\end{chunk} + +\defun{checkSkipIdentifierToken}{checkSkipIdentifierToken} +\calls{checkSkipIdentifierToken}{checkAlphabetic} +\begin{chunk}{defun checkSkipIdentifierToken} +(defun |checkSkipIdentifierToken| (u i m) + (do () + ((null (and (> m i) (|checkAlphabetic| (elt u i)))) nil) + (setq i (1+ i))) + (unless (= i m) i)) + +\end{chunk} + +\defun{checkAlphabetic}{checkAlphabetic} +\refsdollar{checkAlphabetic}{charIdentifierEndings} +\begin{chunk}{defun checkAlphabetic} +(defun |checkAlphabetic| (c) + (declare (special |$charIdentifierEndings|)) + (or (alpha-char-p c) (digitp c) (member c |$charIdentifierEndings|))) + +\end{chunk} + +\defun{checkSkipToken}{checkSkipToken} +\calls{checkSkipToken}{checkSkipIdentifierToken} +\calls{checkSkipToken}{checkSkipOpToken} +\begin{chunk}{defun checkSkipToken} +(defun |checkSkipToken| (u i m) + (if (alpha-char-p (elt u i)) + (|checkSkipIdentifierToken| u i m) + (|checkSkipOpToken| u i m))) + +\end{chunk} + +\defun{checkSkipOpToken}{checkSkipOpToken} +\calls{checkSkipOpToken}{checkAlphabetic} +\calls{checkSkipOpToken}{member} +\refsdollar{checkSkipOpToken}{charDelimiters} +\begin{chunk}{defun checkSkipOpToken} +(defun |checkSkipOpToken| (u i m) + (declare (special |$charDelimiters|)) + (do () + ((null (and (> m i) + (null (|checkAlphabetic| (elt u i))) + (null (|member| (elt u i) |$charDelimiters|)))) + nil) + (setq i (1+ i))) + (unless (= i m) i)) + +\end{chunk} + +\defun{getMatchingRightPren}{getMatchingRightPren} +\calls{getMatchingRightPren}{maxindex} +\begin{chunk}{defun getMatchingRightPren} +(defun |getMatchingRightPren| (u j open close) + (let (m c found count) + (setq count 0) + (setq m (maxindex u)) + (loop for i from j to m + do + (setq c (elt u i)) + (cond + ((equal c close) + (if (eql count 0) + (return (setq found i)) + (setq count (1- count)))) + ((equal c open) + (setq count (1+ count))))) + found)) \end{chunk} -\defun{current-token}{current-token} -This returns the current token getting a new one if necessary. -\calls{current-token}{try-get-token} -\uses{current-token}{valid-tokens} -\uses{current-token}{current-token} -\begin{chunk}{defun current-token} -(defun current-token () - (declare (special valid-tokens current-token)) - (if (> valid-tokens 0) - current-token - (try-get-token current-token))) +\defun{checkGetMargin}{checkGetMargin} +\calls{checkGetMargin}{firstNonBlankPosition} +\begin{chunk}{defun checkGetMargin} +(defun |checkGetMargin| (lines) + (let (x k margin) + (loop while lines + do + (setq x (car lines)) + (setq k (|firstNonBlankPosition| x)) + (unless (= k -1) (setq margin (if margin (min margin k) k))) + (pop lines)) + (or margin 0))) \end{chunk} -\defun{try-get-token}{try-get-token} -\calls{try-get-token}{get-token} -\uses{try-get-token}{valid-tokens} -\begin{chunk}{defun try-get-token} -(defun try-get-token (token) - (declare (special valid-tokens)) - (let ((tok (get-token token))) - (when tok - (incf valid-tokens) - token))) +\defun{firstNonBlankPosition}{firstNonBlankPosition} +\calls{firstNonBlankPosition}{nequal} +\calls{firstNonBlankPosition}{maxindex} +\begin{chunk}{defun firstNonBlankPosition} +(defun |firstNonBlankPosition| (&rest therest) + (let ((x (car therest)) (options (cdr therest)) start k) + (declare (special |$charBlank|)) + (setq start (or (ifcar options) 0)) + (setq k -1) + (loop for i from start to (maxindex x) + do (when (nequal (elt x i) |$charBlank|) (return (setq k i)))) + k)) \end{chunk} -\defun{next-token}{next-token} -This returns the token after the current token, or NIL if there is none after. -\calls{next-token}{try-get-token} -\calls{next-token}{current-token} -\uses{next-token}{valid-tokens} -\uses{next-token}{next-token} -\begin{chunk}{defun next-token} -(defun next-token () - (declare (special valid-tokens next-token)) - (current-token) - (if (> valid-tokens 1) - next-token - (try-get-token next-token))) +\defun{checkIeEg}{checkIeEg} +\calls{checkIeEg}{checkIeEgfun} +\calls{checkIeEg}{nreverse} +\begin{chunk}{defun checkIeEg} +(defun |checkIeEg| (u) + (let (x verbatim z acc) + (setq acc nil) + (setq verbatim nil) + (loop while u + do + (setq x (car u)) + (setq acc + (cond + ((equal x "\\end{verbatim}") + (setq verbatim nil) + (cons x acc)) + (verbatim (cons x acc)) + ((equal x "\\begin{verbatim}") + (setq verbatim t) + (cons x acc)) + ((setq z (|checkIeEgfun| x)) + (append (nreverse z) acc)) + (t (cons x acc)))) + (setq u (cdr u))) + (nreverse acc))) \end{chunk} -\defun{advance-token}{advance-token} -This makes the next token be the current token. -\calls{advance-token}{current-token} -\calls{advance-token}{copy-token} -\calls{advance-token}{try-get-token} -\uses{advance-token}{valid-tokens} -\uses{advance-token}{current-token} -\begin{chunk}{defun advance-token} -(defun advance-token () - (current-token) ;don't know why this is needed - (case valid-tokens - (0 (try-get-token (current-token))) - (1 (decf valid-tokens) - (setq prior-token (copy-token current-token)) - (try-get-token current-token)) - (2 (setq prior-token (copy-token current-token)) - (setq current-token (copy-token next-token)) - (decf valid-tokens)))) +\defun{checkIeEgfun}{checkIeEgfun} +\calls{checkIeEgfun}{maxindex} +\calls{checkIeEgfun}{checkIeEgFun} +\refsdollar{checkIeEgfun}{charPeriod} +\begin{chunk}{defun checkIeEgfun} +(defun |checkIeEgfun| (x) + (let (m key firstPart result) + (declare (special |$charPeriod|)) + (cond + ((characterp x) nil) + ((equal x "") nil) + (t + (setq m (maxindex x)) + (loop for k from 0 to (- m 3) + do + (cond + ((and + (equal (elt x (1+ k)) |$charPeriod|) + (equal (elt x (+ k 3)) |$charPeriod|) + (or + (and + (equal (elt x k) #\i) + (equal (elt x (+ k 2)) #\e) + (setq key "that is")) + (and + (equal (elt x k) #\e) + (equal (elt x (+ k 2)) #\g) + (setq key "for example")))) + (progn + (setq firstPart (when (> k 0) (cons (substring x 0 k) nil))) + (setq result + (append firstPart + (cons "\\spadignore{" + (cons (substring x k 4) + (cons "}" + (|checkIeEgfun| (substring x (+ k 4) nil))))))))))) + result)))) \end{chunk} -\defvar{XTokenReader} -\begin{chunk}{initvars} -(defvar XTokenReader 'get-meta-token "Name of tokenizing function") +\defun{checkSplitBrace}{checkSplitBrace} +\calls{checkSplitBrace}{charp} +\calls{checkSplitBrace}{length} +\calls{checkSplitBrace}{checkSplitBackslash} +\calls{checkSplitBrace}{checkSplitBrace} +\calls{checkSplitBrace}{checkSplitOn} +\calls{checkSplitBrace}{checkSplitPunctuation} +\begin{chunk}{defun checkSplitBrace} +(defun |checkSplitBrace| (x) + (let (m u) + (cond + ((charp x) (list x)) + ((eql (|#| x) 1) (list (elt x 0))) + ((and (setq u (|checkSplitBackslash| x)) (cdr u)) + (let (result) + (loop for y in u do (append result (|checkSplitBrace| y))) + result)) + (t + (setq m (maxindex x)) + (cond + ((and (setq u (|checkSplitOn| x)) (cdr u)) + (let (result) + (loop for y in u do (append result (|checkSplitBrace| y))) + result)) + ((and (setq u (|checkSplitPunctuation| x)) (cdr u)) + (let (result) + (loop for y in u do (append result (|checkSplitBrace| y))) + result)) + (t (list x))))))) \end{chunk} -\defun{get-token}{get-token} -\calls{get-token}{XTokenReader} -\uses{get-token}{XTokenReader} -\begin{chunk}{defun get-token} -(defun get-token (token) - (funcall XTokenReader token)) +\defun{checkSplitBackslash}{checkSplitBackslash} +\calls{checkSplitBackslash}{checkSplitBackslash} +\calls{checkSplitBackslash}{maxindex} +\calls{checkSplitBackslash}{charPosition} +\refsdollar{checkSplitBackslash}{charBack} +\begin{chunk}{defun checkSplitBackslash} +(defun |checkSplitBackslash| (x) + (let (m k u v) + (declare (special |$charBack|)) + (cond + ((null (stringp x)) (list x)) + (t + (setq m (maxindex x)) + (cond + ((> m (setq k (|charPosition| |$charBack| x 0))) + (cond + ((or (eql m 1) (alpha-char-p (elt x (1+ k)))) ;starts with backslash so + (if (> m (setq k (|charPosition| |$charBack| x 1))) + ; yes, another backslash + (cons (substring x 0 k) (|checkSplitBackslash| (substring x k nil))) + ; no, just return the line + (list x))) + ((eql k 0) + ; starts with backspace but x.1 is not a letter; break it up + (cons (substring x 0 2) + (|checkSplitBackslash| (substring x 2 nil)))) + (t + (setq u (substring x 0 k)) + (setq v (substring x k 2)) + (if (= (1+ k) m) + (list u v) + (cons u + (cons v + (|checkSplitBackslash| + (substring x (+ k 2) nil)))))))) + (t (list x))))))) \end{chunk} -\subsection{Character handling} +\defun{checkSplitPunctuation}{checkSplitPunctuation} +\calls{checkSplitPunctuation}{charp} +\calls{checkSplitPunctuation}{maxindex} +\calls{checkSplitPunctuation}{checkSplitPunctuation} +\calls{checkSplitPunctuation}{charPosition} +\calls{checkSplitPunctuation}{hget} +\refsdollar{checkSplitPunctuation}{charDash} +\refsdollar{checkSplitPunctuation}{htMacroTable} +\refsdollar{checkSplitPunctuation}{charQuote} +\refsdollar{checkSplitPunctuation}{charPeriod} +\refsdollar{checkSplitPunctuation}{charSemiColon} +\refsdollar{checkSplitPunctuation}{charComma} +\refsdollar{checkSplitPunctuation}{charBack} +\begin{chunk}{defun checkSplitPunctuation} +(defun |checkSplitPunctuation| (x) + (let (m lastchar v k u) + (declare (special |$charDash| |$htMacroTable| |$charBack| |$charQuote| + |$charComma| |$charSemiColon| |$charPeriod|)) + (cond + ((charp x) (list x)) + (t + (setq m (maxindex x)) + (cond + ((> 1 m) (list x)) + (t + (setq lastchar (elt x m)) + (cond + ((and (equal lastchar |$charPeriod|) + (equal (elt x (1- m)) |$charPeriod|)) + (cond + ((eql m 1) (list x)) + ((and (> m 3) (equal (elt x (- m 2)) |$charPeriod|)) + (append (|checkSplitPunctuation| (substring x 0 (- m 2))) + (list "..."))) + (t + (append (|checkSplitPunctuation| (substring x 0 (1- m))) + (list ".."))))) + ((or (equal lastchar |$charPeriod|) + (equal lastchar |$charSemiColon|) + (equal lastchar |$charComma|)) + (list (substring x 0 m) lastchar)) + ((and (> m 1) (equal (elt x (1- m)) |$charQuote|)) + (list (substring x 0 (1- m)) (substring x (1- m) nil))) + ((> m (setq k (|charPosition| |$charBack| x 0))) + (cond + ((eql k 0) + (cond + ((or (eql m 1) (hget |$htMacroTable| x) (alpha-char-p (elt x 1))) + (list x)) + (t + (setq v (substring x 2 nil)) + (cons (substring x 0 2) (|checkSplitPunctuation| v))))) + (t + (setq u (substring x 0 k)) + (setq v (substring x k nil)) + (append (|checkSplitPunctuation| u) + (|checkSplitPunctuation| v))))) + ((> m (setq k (|charPosition| |$charDash| x 1))) + (setq u (substring x (1+ k) nil)) + (cons (substring x 0 k) + (cons |$charDash| (|checkSplitPunctuation| u)))) + (t + (list x))))))))) -\defun{current-char}{current-char} -This returns the current character of the line, initially blank for an -unread line. -\usesstruct{current-char}{line} -\uses{current-char}{current-line} -\begin{chunk}{defun current-char} -(defun current-char () - (if (line-past-end-p current-line) - #\return - (line-current-char current-line))) +\end{chunk} + +\defun{checkSplitOn}{checkSplitOn} +\calls{checkSplitOn}{checkSplitOn} +\calls{checkSplitOn}{charp} +\calls{checkSplitOn}{maxindex} +\calls{checkSplitOn}{charPosition} +\refsdollar{checkSplitOn}{charBack} +\refsdollar{checkSplitOn}{charSplitList} +\begin{chunk}{defun checkSplitOn} +(defun |checkSplitOn| (x) + (let (m char k z) + (declare (special |$charBack| |$charSplitList|)) + (cond + ((charp x) (list x)) + (t + (setq z |$charSplitList|) + (setq m (maxindex x)) + (loop while z + do + (setq char (car z)) + (cond + ((and (eql m 0) (equal (elt x 0) char)) + (return (setq k -1))) + (t + (setq k (|charPosition| char x 0)) + (cond + ((and (> k 0) (equal (elt x (1- k)) |$charBack|)) (list x)) + ((<= k m) (return k))))) + (pop z)) + (cond + ((null z) (list x)) + ((eql k -1) (list char)) + ((eql k 0) (list char (substring x 1 nil))) + ((eql k (maxindex x)) (list (substring x 0 k) char)) + (t + (cons (substring x 0 k) + (cons char (|checkSplitOn| (substring x (1+ k) nil)))))))))) \end{chunk} -\defun{next-char}{next-char} -This returns the character after the current character, blank if at -end of line. The blank-at-end-of-line assumption is allowable because -we assume that end-of-line is a token separator, which blank is -equivalent to. -\calls{next-char}{line-at-end-p} -\calls{next-char}{line-next-char} -\uses{next-char}{current-line} -\begin{chunk}{defun next-char} -(defun next-char () - (if (line-at-end-p current-line) - #\return - (line-next-char current-line))) +\defun{checkNumOfArgs}{checkNumOfArgs} +A nil return implies that the argument list length does not match +\calls{checkNumOfArgs}{opOf} +\calls{checkNumOfArgs}{constructor?} +\calls{checkNumOfArgs}{abbreviation?} +\calls{checkNumOfArgs}{getdatabase} +\begin{chunk}{defun checkNumOfArgs} +(defun |checkNumOfArgs| (conform) + (let (conname) + (setq conname (|opOf| conform)) + (when (or (|constructor?| conname) (setq conname (|abbreviation?| conname))) + (|#| (getdatabase conname 'constructorargs))))) \end{chunk} -\defun{char-eq}{char-eq} -\begin{chunk}{defun char-eq} -(defun char-eq (x y) - (char= (character x) (character y))) +\defun{checkRemoveComments}{checkRemoveComments} +\calls{checkRemoveComments}{checkTrimCommented} +\begin{chunk}{defun checkRemoveComments} +(defun |checkRemoveComments| (lines) + (let (line acc) + (loop while lines + do + (setq line (|checkTrimCommented| (car lines))) + (when (>= (|firstNonBlankPosition| line) 0) (push line acc)) + (pop lines)) + (nreverse acc))) \end{chunk} -\defun{char-ne}{char-ne} -\begin{chunk}{defun char-ne} -(defun char-ne (x y) - (char/= (character x) (character y))) +\defun{checkTrimCommented}{checkTrimCommented} +\calls{checkTrimCommented}{length} +\calls{checkTrimCommented}{htcharPosition} +\calls{checkTrimCommented}{nequal} +\begin{chunk}{defun checkTrimCommented} +(defun |checkTrimCommented| (line) + (let (n k) + (setq n (|#| line)) + (setq k (|htcharPosition| (|char| '%) line 0)) + (cond + ((eql k 0) "") + ((or (>= k (1- n)) (nequal (elt line (1+ k)) #\%)) line) + ((> (|#| line) k) (substring line 0 k)) + (t line)))) \end{chunk} -\subsection{Error handling} -\defvar{meta-error-handler} -\begin{chunk}{initvars} -(defvar meta-error-handler 'meta-meta-error-handler) +\defun{htcharPosition}{htcharPosition} +\calls{htcharPosition}{length} +\calls{htcharPosition}{charPosition} +\calls{htcharPosition}{nequal} +\calls{htcharPosition}{htcharPosition} +\refsdollar{htcharPosition}{charBack} +\begin{chunk}{defun htcharPosition} +(defun |htcharPosition| (char line i) + (let (m k) + (declare (special |$charBack|)) + (setq m (|#| line)) + (setq k (|charPosition| char line i)) + (cond + ((eql k m) k) + ((> k 0) + (if (nequal (elt line (1- k)) |$charBack|) + k + (|htcharPosition| char line (1+ k)))) + (t 0)))) \end{chunk} -\defun{meta-syntax-error}{meta-syntax-error} -\calls{meta-syntax-error}{meta-error-handler} -\uses{meta-syntax-error}{meta-error-handler} -\begin{chunk}{defun meta-syntax-error} -(defun meta-syntax-error (&optional (wanted nil) (parsing nil)) - (declare (special meta-error-handler)) - (funcall meta-error-handler wanted parsing)) +\defun{checkAddMacros}{checkAddMacros} +\calls{checkAddMacros}{lassoc} +\calls{checkAddMacros}{nreverse} +\refsdollar{checkAddMacros}{HTmacs} +\begin{chunk}{defun checkAddMacros} +(defun |checkAddMacros| (u) + (let (x verbatim y acc) + (declare (special |$HTmacs|)) + (loop while u + do + (setq x (car u)) + (setq acc + (cond + ((string= x "\\end{verbatim}") + (setq verbatim nil) + (cons x acc)) + (verbatim + (cons x acc)) + ((string= x "\\begin{verbatim}") + (setq verbatim t) + (cons x acc)) + ((setq y (lassoc x |$HTmacs|)) + (append y acc)) + (t (cons x acc)))) + (pop u)) + (nreverse acc))) \end{chunk} -\subsection{Floating Point Support} +\defun{checkIndentedLines}{checkIndentedLines} +\calls{checkIndentedLines}{firstNonBlankPosition} +\calls{checkIndentedLines}{strconc} +\refsdollar{checkIndentedLines}{charFauxNewline} +\begin{chunk}{defun checkIndentedLines} +(defun |checkIndentedLines| (u margin) + (let (k s verbatim u2) + (declare (special |$charFauxNewline|)) + (loop for x in u + do + (setq k (|firstNonBlankPosition| x)) + (cond + ((eql k -1) + (if verbatim + (setq u2 (append u2 (list |$charFauxNewline|))) + (setq u2 (append u2 (list "\\blankline "))))) + (t + (setq s (substring x k nil)) + (cond + ((string= s "\\begin{verbatim}") + (setq verbatim t) + (setq u2 (append u2 (list s)))) + ((string= s "\\end{verbatim}") + (setq verbatim nil) + (setq u2 (append u2 (list s)))) + (verbatim + (setq u2 (append u2 (list (substring x margin nil))))) + ((eql margin k) + (setq u2 (append u2 (list s)))) + (t + (setq u2 + (append u2 + (list (strconc "\\indented{" (stringimage (- k margin)) + "}{" (|checkAddSpaceSegments| s 0) "}"))))))))) + u2)) -\defun{floatexpid}{floatexpid} -\seebook{floatexpid}{identp}{5} -\seebook{floatexpid}{pname}{5} -\calls{floatexpid}{spadreduce} -\calls{floatexpid}{collect} -\calls{floatexpid}{step} -\calls{floatexpid}{maxindex} -\seebook{floatexpid}{digitp}{5} -\begin{chunk}{defun floatexpid} -(defun floatexpid (x &aux s) - (when (and (identp x) (char= (char-upcase (elt (setq s (pname x)) 0)) #\E) - (> (length s) 1) - (spadreduce and 0 (collect (step i 1 1 (maxindex s)) - (digitp (elt s i))))) - (read-from-string s t nil :start 1))) +\end{chunk} + +\defun{newString2Words}{newString2Words} +\calls{newString2Words}{newWordFrom} +\calls{newString2Words}{nreverse0} +\begin{chunk}{defun newString2Words} +(defun |newString2Words| (z) + (let (m tmp1 w i result) + (cond + ((null (stringp z)) (list z)) + (t + (setq m (maxindex z)) + (cond + ((eql m -1) nil) + (t + (setq i 0) + (do () ; [w while newWordFrom(l,i,m) is [w,i]] + ((null (progn + (setq tmp1 (|newWordFrom| z i m)) + (and (consp tmp1) + (progn + (setq w (qcar tmp1)) + (and (consp (qcdr tmp1)) + (eq (qcddr tmp1) nil) + (progn + (setq i (qcadr tmp1)) + t)))))) + (nreverse0 result)) + (setq result (cons (qcar tmp1) result))))))))) \end{chunk} -\subsection{Dollar Translation} +\defun{newWordFrom}{newWordFrom} +\refsdollar{newWordFrom}{stringFauxNewline} +\refsdollar{newWordFrom}{charBlank} +\refsdollar{newWordFrom}{charFauxNewline} +\begin{chunk}{defun newWordFrom} +(defun |newWordFrom| (z i m) + (let (ch done buf) + (declare (special |$charFauxNewline| |$charBlank| |$stringFauxNewline|)) + (loop while (and (<= i m) (char= (elt z i) #\space)) do (incf i)) + (cond + ((> i m) nil) + (t + (setq buf "") + (setq ch (elt z i)) + (cond + ((equal ch |$charFauxNewline|) + (list |$stringFauxNewline| (1+ i))) + (t + (setq done nil) + (loop while (and (<= i m) (null done)) + do + (setq ch (elt z i)) + (cond + ((or (equal ch |$charBlank|) (equal ch |$charFauxNewline|)) + (setq done t)) + (t + (setq buf (strconc buf ch)) + (setq i (1+ i))))) + (list buf i))))))) -\defun{dollarTran}{dollarTran} -\usesdollar{dollarTran}{InteractiveMode} -\begin{chunk}{defun dollarTran} -(defun |dollarTran| (dom rand) - (let ((eltWord (if |$InteractiveMode| '|$elt| '|elt|))) - (declare (special |$InteractiveMode|)) - (if (and (not (atom rand)) (cdr rand)) - (cons (list eltWord dom (car rand)) (cdr rand)) - (list eltWord dom rand)))) +\end{chunk} + +\defun{checkGetArgs}{checkGetArgs} +\calls{checkGetArgs}{maxindex} +\calls{checkGetArgs}{firstNonBlankPosition} +\calls{checkGetArgs}{checkGetArgs} +\calls{checkGetArgs}{stringPrefix?} +\calls{checkGetArgs}{getMatchingRightPren} +\calls{checkGetArgs}{charPosition} +\calls{checkGetArgs}{nequal} +\calls{checkGetArgs}{trimString} +\refsdollar{checkGetArgs}{charComma} +\begin{chunk}{defun checkGetArgs} +(defun |checkGetArgs| (u) + (let (m k acc i) + (declare (special |$charComma|)) + (cond + ((null (stringp u)) nil) + (t + (setq m (maxindex u)) + (setq k (|firstNonBlankPosition| u)) + (cond + ((> k 0) + (|checkGetArgs| (substring u k nil))) + ((|stringPrefix?| "\\spad{" u) + (setq k (or (|getMatchingRightPren| u 6 #\{ #\}) m)) + (|checkGetArgs| (substring u 6 (- k 6)))) + ((> (setq i (|charPosition| #\( u 0)) m) + nil) + ((nequal (elt u m) #\)) + nil) + (t + (do () + ((null (> m (setq k (|charPosition| |$charComma| u (1+ i))))) nil) + (setq acc + (cons (|trimString| (substring u (1+ i) (1- (- k i)))) acc)) + (setq i k)) + (nreverse (cons (substring u (1+ i) (1- (- m i))) acc)))))))) \end{chunk} -\subsection{Applying metagrammatical elements of a production (e.g., Star).} -\begin{itemize} -\item {\bf must} means that if it is not present in the token stream, -it is a syntax error. -\item {\bf optional} means that if it is present in the token stream, -that is a good thing, otherwise don't worry (like [ foo ] in BNF notation). -\item {\bf action} is something we do as a consequence of successful -parsing; it is inserted at the end of the conjunction of requirements -for a successful parse, and so should return T. -\item {\bf sequence} consists of a head, which if recognized implies that the -tail must follow. Following tail are actions, which -are performed upon recognizing the head and tail. -\end{itemize} -\defmacro{Bang} -If the execution of prod does not result in an increase in the size of -the stack, then stack a NIL. Return the value of prod. -\begin{chunk}{defmacro bang} -(defmacro bang (lab prod) - `(progn - (setf (stack-updated reduce-stack) nil) - (let* ((prodvalue ,prod) (updated (stack-updated reduce-stack))) - (unless updated (push-reduction ',lab nil)) - prodvalue))) +\defun{checkAddSpaceSegments}{checkAddSpaceSegments} +\calls{checkAddSpaceSegments}{checkAddSpaceSegments} +\calls{checkAddSpaceSegments}{maxindex} +\calls{checkAddSpaceSegments}{charPosition} +\calls{checkAddSpaceSegments}{strconc} +\refsdollar{checkAddSpaceSegments}{charBlank} +\begin{chunk}{defun checkAddSpaceSegments} +(defun |checkAddSpaceSegments| (u k) + (let (m i j n) + (declare (special |$charBlank|)) + (setq m (maxindex u)) + (setq i (|charPosition| |$charBlank| u k)) + (cond + ((> i m) u) + (t + (setq j i) + (loop while (and (incf j) (char= (elt u j) #\space))) + (setq n (- j i)) ; number of blanks + (if (> n 1) + (strconc (substring u 0 i) "\\space{" (stringimage n) "}" + (|checkAddSpaceSegments| (substring u (+ i n) nil) 0)) + (|checkAddSpaceSegments| u j)))))) \end{chunk} -\defmacro{must} -\calls{must}{meta-syntax-error} -\begin{chunk}{defmacro must} -(defmacro must (dothis &optional (this-is nil) (in-rule nil)) - `(or ,dothis (meta-syntax-error ,this-is ,in-rule))) +\defun{checkTrim}{checkTrim} +\calls{checkTrim}{charPosition} +\calls{checkTrim}{nequal} +\calls{checkTrim}{systemError} +\calls{checkTrim}{checkDocError} +\refsdollar{checkTrim}{charBlank} +\refsdollar{checkTrim}{x} +\refsdollar{checkTrim}{charPlus} +\begin{chunk}{defun checkTrim} +(defun |checkTrim| (|$x| lines) + (declare (special |$x|)) + (labels ( + (trim (s) + (let (k) + (declare (special |$charBlank|)) + (setq k (wherePP s)) + (substring s (+ k 2) nil))) + (wherePP (u) + (let (k) + (declare (special |$charPlus|)) + (setq k (|charPosition| |$charPlus| u 0)) + (if (or (eql k (|#| u)) + (nequal (|charPosition| |$charPlus| u (1+ k)) (1+ k))) + (|systemError| " Improper comment found") + k)))) + (let (j s) + (setq s (list (wherePP (car lines)))) + (loop for x in (rest lines) + do + (setq j (wherePP x)) + (unless (member j s) + (|checkDocError| (list |$x| " has varying indentation levels")) + (setq s (cons j s)))) + (loop for y in lines + collect (trim y))))) \end{chunk} -\defun{action}{action} -\begin{chunk}{defun action} -(defun action (dothis) (or dothis t)) +\defun{checkExtract}{checkExtract} +\calls{checkExtract}{firstNonBlankPosition} +\calls{checkExtract}{substring?} +\calls{checkExtract}{charPosition} +\calls{checkExtract}{length} +\begin{chunk}{defun checkExtract} +(defun |checkExtract| (header lines) + (let (line u margin firstLines m k j i acc) + (loop while lines + do + (setq line (car lines)) + (setq k (|firstNonBlankPosition| line)) ; gives margin of description + (if (|substring?| header line k) + (return nil) + (setq lines (cdr lines)))) + (cond + ((null lines) nil) + (t + (setq u (car lines)) + (setq j (|charPosition| #\: u k)) + (setq margin k) + (setq firstLines + (if (nequal (setq k (|firstNonBlankPosition| u (1+ j))) -1) + (cons (substring u (1+ j) nil) (cdr lines)) + (cdr lines))) + ; now look for another header; if found skip all rest of these lines + (setq acc nil) + (loop for line in firstLines + do + (setq m (|#| line)) + (cond + ((eql (setq k (|firstNonBlankPosition| line)) -1) '|skip|) + ((> k margin) '|skip|) + ((null (upper-case-p (elt line k))) '|skip|) + ((equal (setq j (|charPosition| #\: line k)) m) '|skip|) + ((> j (setq i (|charPosition| #\space line (1+ k)))) '|skip|) + (t (return nil))) + (setq acc (cons line acc))) + (nreverse acc))))) \end{chunk} -\defun{optional}{optional} -\begin{chunk}{defun optional} -(defun optional (dothis) (or dothis t)) +\defun{checkFixCommonProblem}{checkFixCommonProblem} +\calls{checkFixCommonProblem}{member} +\calls{checkFixCommonProblem}{ifcar} +\calls{checkFixCommonProblem}{ifcdr} +\calls{checkFixCommonProblem}{nequal} +\calls{checkFixCommonProblem}{checkDocError} +\refsdollar{checkFixCommonProblem}{charLbrace} +\refsdollar{checkFixCommonProblem}{HTspadmacros} +\begin{chunk}{defun checkFixCommonProblem} +(defun |checkFixCommonProblem| (u) + (let (x next acc) + (declare (special |$charLbrace| |$HTspadmacros|)) + (loop while u + do + (setq x (car u)) + (cond + ((and (equal x |$charLbrace|) + (|member| (setq next (ifcar (cdr u))) |$HTspadmacros|) + (nequal (ifcar (ifcdr (cdr u))) |$charLbrace|)) + (|checkDocError| (list "Reversing " next " and left brace")) + (setq acc (cons |$charLbrace| (cons next |acc|))) + (setq u (cddr u))) + (t + (setq acc (cons x acc)) + (setq u (cdr u))))) + (nreverse acc))) \end{chunk} -\defmacro{star} -Succeeds if there are one or more of PROD, stacking as one unit -the sub-reductions of PROD and labelling them with LAB. -E.G., {\tt (Star IDs (parse-id))} with A B C will stack (3 IDs (A B C)), -where (parse-id) would stack (1 ID (A)) when applied once. -\calls{star}{stack-size} -\calls{star}{push-reduction} -\calls{star}{pop-stack-1} -\begin{chunk}{defmacro star} -(defmacro star (lab prod) - `(prog ((oldstacksize (stack-size reduce-stack))) - (if (not ,prod) (return nil)) -loop - (if (not ,prod) - (let* ((newstacksize (stack-size reduce-stack)) - (number-of-new-reductions (- newstacksize oldstacksize))) - (if (> number-of-new-reductions 0) - (return (do ((i 0 (1+ i)) (accum nil)) - ((= i number-of-new-reductions) - (push-reduction ',lab accum) - (return t)) - (push (pop-stack-1) accum))) - (return t))) - (go loop)))) +\defun{checkDecorate}{checkDecorate} +\calls{checkDecorate}{checkDocError} +\calls{checkDecorate}{member} +\calls{checkDecorate}{checkAddBackSlashes} +\calls{checkDecorate}{hasNoVowels} +\refsdollar{checkDecorate}{checkingXmptex?} +\refsdollar{checkDecorate}{charExclusions} +\refsdollar{checkDecorate}{argl} +\refsdollar{checkDecorate}{charBack} +\refsdollar{checkDecorate}{charRbrace} +\refsdollar{checkDecorate}{charLbrace} +\begin{chunk}{defun checkDecorate} +(defun |checkDecorate| (u) + (let (x count mathSymbolsOk spadflag verbatim v xcount acc) + (declare (special |$charLbrace| |$charRbrace| |$charBack| |$argl| + |$charExclusions| |$checkingXmptex?|)) + (setq count 0) + (loop while u + do + (setq x (car u)) + (cond + ((null verbatim) + (cond + ((string= x "\\em") + (cond + ((> count 0) + (setq mathSymbolsOk (1- count)) + (setq spadflag (1- count))) + (t + (|checkDocError| (list "\\em must be enclosed in braces")))))) + (when (|member| x '("\\spadpaste" "\\spad" "\\spadop")) + (setq mathSymbolsOk count)) + (cond + ((|member| x '("\\s" "\\spadtype" "\\spadsys" "\\example" "\\andexample" + "\\spadop" "\\spad" "\\spadignore" "\\spadpaste" + "\\spadcommand" "\\footnote")) + (setq spadflag count)) + ((equal x |$charLbrace|) + (setq count (1+ count))) + ((equal x |$charRbrace|) + (setq count (1- count)) + (when (eql mathSymbolsOk count) (setq mathSymbolsOk nil)) + (when (eql spadflag count) (setq spadflag nil))) + ((and (null |mathSymbolsOk|) + (|member| x '("+" "*" "=" "==" "->"))) + (when |$checkingXmptex?| + (|checkDocError| + (list '|Symbol | x " appearing outside \\spad{}"))))))) + (setq acc + (cond + ((string= x "\\end{verbatim}") + (setq verbatim nil) + (cons x acc)) + (verbatim (cons x acc)) + ((string= x "\\begin{verbatim}") + (setq verbatim t) + (cons x acc)) + ((and (string= x "\\begin") + (equal (car (setq v (ifcdr u))) |$charLbrace|) + (string= (car (setq v (ifcdr v))) "detail") + (equal (car (setq v (ifcdr v))) |$charRbrace|)) + (setq u v) + (cons "\\blankline " acc)) + ((and (string= x "\\end") + (equal (car (setq v (ifcdr u))) |$charLbrace|) + (string= (car (setq v (ifcdr v))) "detail") + (equal (car (setq v (ifcdr v))) |$charRbrace|)) + (setq u v) + acc) + ((or (char= x #\$) (string= x "$")) + (cons "\\$" acc)) + ((or (char= x #\%) (string= x "%")) + (cons "\\%" acc)) + ((or (char= x #\,) (string= x ",")) + (cons ",{}" acc)) + ((string= x "\\spad") + (cons "\\spad" acc)) + ((and (stringp x) (digitp (elt x 0))) + (cons x acc)) + ((and (null spadflag) + (or (and (charp x) + (alpha-char-p x) + (null (member x |$charExclusions|))) + (|member| x |$argl|))) + (cons |$charRbrace| (cons x (cons |$charLbrace| (cons "\\spad" acc))))) + ((and (null spadflag) + (or (and (stringp x) + (null (equal (elt x 0) |$charBack|)) + (digitp (elt x (maxindex x)))) + (|member| x '("true" "false")))) + (cons |$charRbrace| (cons x (cons |$charLbrace| (cons "\\spad" acc))))) + (t + (setq xcount (|#| x)) + (cond + ((and (eql xcount 3) + (char= (elt x 1) #\t) + (char= (elt x 2) #\h)) + (cons "th" (cons |$charRbrace| + (cons (elt x 0) (cons |$charLbrace| (cons "\\spad" acc)))))) + ((and (eql xcount 4) + (char= (elt x 1) #\-) + (char= (elt x 2) #\t) + (char= (elt x 3) #\h)) + (cons "-th" (cons |$charRbrace| + (cons (elt x 0) (cons |$charLbrace| (cons "\\spad" acc)))))) + ((or (and (eql xcount 2) + (char= (elt x 1) #\i)) + (and (null spadflag) + (> xcount 0) + (> 4 xcount) + (null (|member| x '("th" "rd" "st"))) + (|hasNoVowels| x))) + (cons |$charRbrace| + (cons x (cons |$charLbrace| (cons "\\spad" acc))))) + (t + (cons (|checkAddBackSlashes| x) acc)))))) + (setq u (cdr u))) + (nreverse acc))) \end{chunk} -\subsection{Stacking and retrieving reductions of rules.} -\defvar{reduce-stack} -Stack of results of reduced productions. -\usesstruct{reduce-stack}{stack} -\begin{chunk}{initvars} -(defvar reduce-stack (make-stack) ) +\defun{hasNoVowels}{hasNoVowels} +\calls{hasNoVowels}{maxindex} +\begin{chunk}{defun hasNoVowels} +(defun |hasNoVowels| (x) + (labels ( + (isVowel (c) + (or (eq c #\a) (eq c #\e) (eq c #\i) (eq c #\o) (eq c #\u) + (eq c #\A) (eq c #\E) (eq c #\I) (eq c #\O) (eq c #\U)))) + (let (max) + (setq max (maxindex x)) + (cond + ((char= (elt x max) #\y) nil) + (t + (let ((result t)) + (loop for i from 0 to max + do (setq result (and result (null (isVowel (elt x i)))))) + result)))))) \end{chunk} -\defmacro{reduce-stack-clear} -\begin{chunk}{defmacro reduce-stack-clear} -(defmacro reduce-stack-clear () `(stack-load nil reduce-stack)) +\defun{checkAddBackSlashes}{checkAddBackSlashes} +\calls{checkAddBackSlashes}{strconc} +\calls{checkAddBackSlashes}{maxindex} +\calls{checkAddBackSlashes}{checkAddBackSlashes} +\refsdollar{checkAddBackSlashes}{charBack} +\refsdollar{checkAddBackSlashes}{charEscapeList} +\begin{chunk}{defun checkAddBackSlashes} +(defun |checkAddBackSlashes| (s) + (let (c m char insertIndex k) + (declare (special |$charBack| |$charEscapeList|)) + (cond + ((or (and (charp s) (setq c s)) + (and (eql (|#| s) 1) (setq c (elt s 0)))) + (if (member s |$charEscapeList|) + (strconc |$charBack| c) + s)) + (t + (setq k 0) + (setq m (maxindex s)) + (setq insertIndex nil) + (loop while (< k m) + do + (setq char (elt s k)) + (cond + ((char= char |$charBack|) (setq k (+ k 2))) + ((member char |$charEscapeList|) (return (setq insertIndex k)))) + (setq k (1+ k))) + (cond + (insertIndex + (|checkAddBackSlashes| + (strconc (substring s 0 insertIndex) |$charBack| (elt s k) + (substring s (1+ insertIndex) nil)))) + (T s)))))) \end{chunk} -\defun{push-reduction}{push-reduction} -\calls{push-reduction}{stack-push} -\calls{push-reduction}{make-reduction} -\uses{push-reduction}{reduce-stack} -\begin{chunk}{defun push-reduction} -(defun push-reduction (rule redn) - (stack-push (make-reduction :rule rule :value redn) reduce-stack)) +\defun{checkAddSpaces}{checkAddSpaces} +\refsdollar{checkAddSpaces}{charBlank} +\refsdollar{checkAddSpaces}{charFauxNewline} +\begin{chunk}{defun checkAddSpaces} +(defun |checkAddSpaces| (u) + (let (u2 space) + (declare (special |$charBlank| |$charFauxNewline|)) + (cond + ((null u) nil) + ((null (cdr u)) u) + (t + (setq space |$charBlank|) + (setq i 0) + (loop for f in u + do + (incf i) + (when (string= f "\\begin{verbatim}") + (setq space |$charFauxNewline|) + (unless u2 (setq u2 (list space)))) + (if (> i 1) + (setq u2 (append u2 (list space f))) + (setq u2 (append u2 (list f)))) + (when (string= f "\\end{verbatim}") + (setq u2 (append u2 (list space))) + (setq space |$charBlank|))) + u2)))) \end{chunk} @@ -11849,12 +21323,13 @@ \calls{displayPreCompilationErrors}{sayBrightly} \calls{displayPreCompilationErrors}{nequal} \calls{displayPreCompilationErrors}{sayMath} -\usesdollar{displayPreCompilationErrors}{postStack} -\usesdollar{displayPreCompilationErrors}{topOp} +\refsdollar{displayPreCompilationErrors}{postStack} +\refsdollar{displayPreCompilationErrors}{topOp} +\refsdollar{displayPreCompilationErrors}{InteractiveMode} \begin{chunk}{defun displayPreCompilationErrors} (defun |displayPreCompilationErrors| () (let (n errors heading) - (declare (special |$postStack| |$topOp|)) + (declare (special |$postStack| |$topOp| |$InteractiveMode|)) (setq n (|#| (setq |$postStack| (remdup (nreverse |$postStack|))))) (unless (eql n 0) (setq errors (cond ((> n 1) "errors") (t "error"))) @@ -11883,42 +21358,36 @@ \usesdollar{bumperrorcount}{spad-errors} \begin{chunk}{defun bumperrorcount} (defun bumperrorcount (kind) + (declare (special |$InteractiveMode| $spad_errors)) (unless |$InteractiveMode| (let ((index (case kind (|syntax| 0) (|precompilation| 1) (|semantic| 2) - (t (error "BUMPERRORCOUNT"))))) + (t (error (break "BUMPERRORCOUNT: kind=~s~%" kind)))))) (setelt $spad_errors index (1+ (elt $spad_errors index)))))) \end{chunk} \defun{parseTranCheckForRecord}{parseTranCheckForRecord} -\begin{verbatim} -;parseTranCheckForRecord(x,op) == -; (x:= parseTran x) is ['Record,:l] => -; or/[y for y in l | y isnt [":",.,.]] => -; postError ['" Constructor",:bright x,'"has missing label"] -; x -; x -\end{verbatim} \calls{parseTranCheckForRecord}{qcar} \calls{parseTranCheckForRecord}{qcdr} \calls{parseTranCheckForRecord}{postError} \calls{parseTranCheckForRecord}{parseTran} \begin{chunk}{defun parseTranCheckForRecord} (defun |parseTranCheckForRecord| (x op) + (declare (ignore op)) (let (tmp3) (setq x (|parseTran| x)) (cond - ((and (pairp x) (eq (qcar x) '|Record|)) + ((and (consp x) (eq (qfirst x) '|Record|)) (cond - ((do ((z nil tmp3) (tmp4 (qcdr x) (cdr tmp4)) (y nil)) + ((do ((z nil tmp3) (tmp4 (qrest x) (cdr tmp4)) (y nil)) ((or z (atom tmp4)) tmp3) (setq y (car tmp4)) (cond - ((null (and (pairp y) (eq (qcar y) '|:|) (pairp (qcdr y)) - (pairp (qcdr (qcdr y))) (eq (qcdr (qcdr (qcdr y))) nil))) + ((null (and (consp y) (eq (qfirst y) '|:|) (consp (qrest y)) + (consp (qcddr y)) (eq (qcdddr y) nil))) (setq tmp3 (or tmp3 y))))) (|postError| (list " Constructor" x "has missing label" ))) (t x))) @@ -12048,8 +21517,10 @@ \end{chunk} \defun{print-package}{print-package} +\refsdollar{print-package}{out-stream} \begin{chunk}{defun print-package} (defun print-package (package) + (declare (special out-stream)) (format out-stream "~&~%(IN-PACKAGE ~S )~%~%" package)) \end{chunk} @@ -12073,27 +21544,27 @@ (defun |tuple2List| (arg) (let (u p q) (declare (special |$InteractiveMode| $boot)) - (when (pairp arg) - (setq u (|tuple2List| (qcdr arg))) + (when (consp arg) + (setq u (|tuple2List| (qrest arg))) (cond - ((and (pairp (qcar arg)) (eq (qcar (qcar arg)) 'segment) - (pairp (qcdr (qcar arg))) - (pairp (qcdr (qcdr (qcar arg)))) - (eq (qcdr (qcdr (qcdr (qcar arg)))) nil)) - (setq p (qcar (qcdr (qcar arg)))) - (setq q (qcar (qcdr (qcdr (qcar arg))))) + ((and (consp (qfirst arg)) (eq (qcaar arg) 'segment) + (consp (qcdar arg)) + (consp (qcddar arg)) + (eq (qcdddar arg) nil)) + (setq p (qcadar arg)) + (setq q (qcaddar arg)) (cond ((null u) (list '|construct| (|postTranSegment| p q))) ((and |$InteractiveMode| (null $boot)) (cons '|append| (cons (list '|construct| (|postTranSegment| p q)) - (list (|tuple2List| (qcdr arg)))))) + (list (|tuple2List| (qrest arg)))))) (t (cons '|nconc| (cons (list '|construct| (|postTranSegment| p q)) - (list (|tuple2List| (qcdr arg)))))))) - ((null u) (list '|construct| (|postTran| (qcar arg)))) - (t (list '|cons| (|postTran| (qcar arg)) (|tuple2List| (qcdr arg)))))))) + (list (|tuple2List| (qrest arg)))))))) + ((null u) (list '|construct| (|postTran| (qfirst arg)))) + (t (list '|cons| (|postTran| (qfirst arg)) (|tuple2List| (qrest arg)))))))) \end{chunk} @@ -12307,8 +21778,10 @@ \calls{skip-to-endif}{skip-to-endif} \begin{chunk}{defun skip-to-endif} (defun skip-to-endif (x) - (let (line ind) - (dcq (ind . line) (preparseReadLine1)) + (let (line ind tmp1) + (setq tmp1 (preparseReadLine1)) + (setq ind (car tmp1)) + (setq line (cdr tmp1)) (cond ((not (stringp line)) (cons ind line)) ((initial-substring line ")endif") (preparseReadLine x)) @@ -12675,7 +22148,6 @@ \calls{compileSpad2Cmd}{object2String} \calls{compileSpad2Cmd}{browserAutoloadOnceTrigger} \calls{compileSpad2Cmd}{spad2AsTranslatorAutoloadOnceTrigger} -\calls{compileSpad2Cmd}{convertSpadToAsFile} \calls{compileSpad2Cmd}{compilerDoitWithScreenedLisplib} \calls{compileSpad2Cmd}{compilerDoit} \calls{compileSpad2Cmd}{extendLocalLibdb} @@ -13299,12 +22771,18 @@ \usesdollar{spad}{InteractiveFrame} \usesdollar{spad}{InitialDomainsInScope} \usesdollar{spad}{InteractiveMode} +\usesdollar{spad}{spad} +\usesdollar{spad}{boot} +\uses{spad}{curoutstream} +\uses{spad}{*fileactq-apply*} \uses{spad}{line} +\uses{spad}{optionlist} \uses{spad}{echo-meta} \uses{spad}{/editfile} \uses{spad}{*comp370-apply*} \uses{spad}{*eof*} \uses{spad}{file-closed} +\uses{spad}{boot-line-stack} \catches{spad}{spad-reader} \begin{chunk}{defun spad} (defun spad (&optional (*spad-input-file* nil) (*spad-output-file* nil) @@ -13313,15 +22791,15 @@ ($spad t) ($boot nil) (optionlist nil) (*eof* nil) (file-closed nil) (/editfile *spad-input-file*) (|$noSubsumption| |$noSubsumption|) in-stream out-stream) - (declare (special echo-meta /editfile *comp370-apply* *eof* + (declare (special echo-meta /editfile *comp370-apply* *eof* curoutstream file-closed |$noSubsumption| |$InteractiveFrame| - |$InteractiveMode| |$InitialDomainsInScope|)) + |$InteractiveMode| optionlist + boot-line-stack *fileactq-apply* $spad $boot)) ;; only rebind |$InteractiveFrame| if compiling (progv (if (not |$InteractiveMode|) '(|$InteractiveFrame|)) (if (not |$InteractiveMode|) (list (|addBinding| '|$DomainsInScope| - `((fluid . |true|) - (special . ,(copy-tree |$InitialDomainsInScope|))) + `((fluid . |true|)) (|addBinding| '|$Information| nil (|makeInitialModemapFrame|))))) (init-boot/spad-reader) @@ -13405,6 +22883,10 @@ \usesdollar{s-process}{previousTime} \usesdollar{s-process}{LocalFrame} \usesdollar{s-process}{Translation} +\usesdollar{s-process}{TranslateOnly} +\usesdollar{s-process}{PrintOnly} +\usesdollar{s-process}{currentLine} +\usesdollar{s-process}{InteractiveFrame} \uses{s-process}{curoutstream} \begin{chunk}{defun s-process} (defun s-process (x) @@ -13443,7 +22925,8 @@ |$insideCategoryIfTrue| |$insideCapsuleFunctionIfTrue| |$form| |$DomainFrame| |$e| |$EmptyEnvironment| |$genFVar| |$genSDVar| |$VariableCount| |$previousTime| |$LocalFrame| - curstrm |$s| |$x| |$m| curoutstream $traceflag |$Translation|)) + curstrm |$s| |$x| |$m| curoutstream $traceflag |$Translation| + |$TranslateOnly| |$PrintOnly| |$currentLine| |$InteractiveFrame|)) (setq $traceflag t) (if (not x) (return nil)) (if $boot @@ -13517,10 +23000,10 @@ \usesdollar{compTopLevel}{packagesUsed} \usesdollar{compTopLevel}{envHashTable} \begin{chunk}{defun compTopLevel} -(defun |compTopLevel| (x m e) +(defun |compTopLevel| (form mode env) (let (|$NRTderivedTargetIfTrue| |$killOptimizeIfTrue| |$forceAdd| |$compTimeSum| |$resolveTimeSum| |$packagesUsed| |$envHashTable| - t1 t2 t3 val mode) + t1 t2 t3 val newmode) (declare (special |$NRTderivedTargetIfTrue| |$killOptimizeIfTrue| |$forceAdd| |$compTimeSum| |$resolveTimeSum| |$packagesUsed| |$envHashTable| )) @@ -13531,23 +23014,23 @@ (setq |$resolveTimeSum| 0) (setq |$packagesUsed| NIL) (setq |$envHashTable| (make-hashtable 'equal)) - (dolist (u (car (car e))) + (dolist (u (car (car env))) (dolist (v (cdr u)) (hput |$envHashTable| (cons (car u) (cons (car v) nil)) t))) (cond - ((or (and (pairp x) (eq (qcar x) 'def)) - (and (pairp x) (eq (qcar x) '|where|) + ((or (and (consp form) (eq (qfirst form) 'def)) + (and (consp form) (eq (qfirst form) '|where|) (progn - (setq t1 (qcdr x)) - (and (pairp t1) + (setq t1 (qrest form)) + (and (consp t1) (progn - (setq t2 (qcar t1)) - (and (pairp t2) (eq (qcar t2) 'def))))))) - (setq t3 (|compOrCroak| x m e)) + (setq t2 (qfirst t1)) + (and (consp t2) (eq (qfirst t2) 'def))))))) + (setq t3 (|compOrCroak| form mode env)) (setq val (car t3)) - (setq mode (second t3)) - (cons val (cons mode (cons e nil)))) - (t (|compOrCroak| x m e))))) + (setq newmode (second t3)) + (cons val (cons newmode (cons env nil)))) + (t (|compOrCroak| form mode env))))) \end{chunk} Given: @@ -13588,8 +23071,8 @@ \defun{compOrCroak}{compOrCroak} \calls{compOrCroak}{compOrCroak1} \begin{chunk}{defun compOrCroak} -(defun |compOrCroak| (x m e) - (|compOrCroak1| x m e nil nil)) +(defun |compOrCroak| (form mode env) + (|compOrCroak1| form mode env nil nil)) \end{chunk} @@ -13631,7 +23114,7 @@ \calls{compOrCroak1}{say} \calls{compOrCroak1}{displayComp} \calls{compOrCroak1}{userError} -\usesdollar{compOrCroak1}{compStack} +\defsdollar{compOrCroak1}{compStack} \usesdollar{compOrCroak1}{compErrorMessageStack} \usesdollar{compOrCroak1}{level} \usesdollar{compOrCroak1}{s} @@ -13639,14 +23122,15 @@ \usesdollar{compOrCroak1}{exitModeStack} \catches{compOrCroak1}{compOrCroak} \begin{chunk}{defun compOrCroak1} -(defun |compOrCroak1| (x m e |$compStack| |$compErrorMessageStack|) +(defun |compOrCroak1| (form mode env |$compStack| |$compErrorMessageStack|) (declare (special |$compStack| |$compErrorMessageStack|)) (let (td errorMessage) (declare (special |$level| |$s| |$scanIfTrue| |$exitModeStack|)) (cond - ((setq td (catch '|compOrCroak| (|comp| x m e))) td) + ((setq td (catch '|compOrCroak| (|comp| form mode env))) td) (t - (setq |$compStack| (cons (list x m e |$exitModeStack|) |$compStack|)) + (setq |$compStack| + (cons (list form mode env |$exitModeStack|) |$compStack|)) (setq |$s| (|compOrCroak1,compactify| |$compStack|)) (setq |$level| (|#| |$s|)) (setq errorMessage @@ -13656,7 +23140,7 @@ (cond (|$scanIfTrue| (|stackSemanticError| errorMessage (|mkErrorExpr| |$level|)) - (list '|failedCompilation| m e )) + (list '|failedCompilation| mode env )) (t (|displaySemanticErrors|) (say "****** comp fails at level " |$level| " with expression: ******") @@ -13667,15 +23151,15 @@ \defun{comp}{comp} \calls{comp}{compNoStacking} -\usesdollar{comp}{compStack} +\refsdollar{comp}{compStack} \usesdollar{comp}{exitModeStack} \begin{chunk}{defun comp} -(defun |comp| (x m e) +(defun |comp| (form mode env) (let (td) (declare (special |$compStack| |$exitModeStack|)) - (if (setq td (|compNoStacking| x m e)) + (if (setq td (|compNoStacking| form mode env)) (setq |$compStack| nil) - (push (list x m e |$exitModeStack|) |$compStack|)) + (push (list form mode env |$exitModeStack|) |$compStack|)) td)) \end{chunk} @@ -13686,32 +23170,32 @@ preferred to the underlying representation -- RDJ 9/12/83 \calls{compNoStacking}{comp2} \calls{compNoStacking}{compNoStacking1} -\usesdollar{compNoStacking}{compStack} +\refsdollar{compNoStacking}{compStack} \usesdollar{compNoStacking}{Representation} \usesdollar{compNoStacking}{EmptyMode} \begin{chunk}{defun compNoStacking} -(defun |compNoStacking| (x m e) +(defun |compNoStacking| (form mode env) (let (td) (declare (special |$compStack| |$Representation| |$EmptyMode|)) - (if (setq td (|comp2| x m e)) - (if (and (equal m |$EmptyMode|) (equal (second td) |$Representation|)) + (if (setq td (|comp2| form mode env)) + (if (and (equal mode |$EmptyMode|) (equal (second td) |$Representation|)) (list (car td) '$ (third td)) td) - (|compNoStacking1| x m e |$compStack|)))) + (|compNoStacking1| form mode env |$compStack|)))) \end{chunk} \defun{compNoStacking1}{compNoStacking1} \calls{compNoStacking1}{get} \calls{compNoStacking1}{comp2} -\usesdollar{compNoStacking1}{compStack} +\refsdollar{compNoStacking1}{compStack} \begin{chunk}{defun compNoStacking1} -(defun |compNoStacking1| (x m e |$compStack|) +(defun |compNoStacking1| (form mode env |$compStack|) (declare (special |$compStack|)) (let (u td) - (if (setq u (|get| (if (eq m '$) '|Rep| m) '|value| e)) - (if (setq td (|comp2| x (car u) e)) - (list (car td) m (third td)) + (if (setq u (|get| (if (eq mode '$) '|Rep| mode) '|value| env)) + (if (setq td (|comp2| form (car u) env)) + (list (car td) mode (third td)) nil) nil))) @@ -13729,44 +23213,23 @@ \usesdollar{comp2}{packagesUsed} \usesdollar{comp2}{lisplib} \begin{chunk}{defun comp2} -(defun |comp2| (x m e) +(defun |comp2| (form mode env) (let (tmp1) (declare (special |$bootStrapMode| |$packagesUsed| $lisplib)) - (when (setq tmp1 (|comp3| x m e)) - (destructuring-bind (y mprime e) tmp1 - (when (and $lisplib (|isDomainForm| x e) (|isFunctor| x)) - (setq |$packagesUsed| (|insert| (list (|opOf| x)) |$packagesUsed|))) + (when (setq tmp1 (|comp3| form mode env)) + (destructuring-bind (y mprime env) tmp1 + (when (and $lisplib (|isDomainForm| form env) (|isFunctor| form)) + (setq |$packagesUsed| (|insert| (list (|opOf| form)) |$packagesUsed|))) ; isDomainForm test needed to prevent error while compiling Ring ; $bootStrapMode-test necessary for compiling Ring in $bootStrapMode - (if (and (nequal m mprime) - (or |$bootStrapMode| (|isDomainForm| mprime e))) - (list y mprime (|addDomain| mprime e)) - (list y mprime e)))))) + (if (and (nequal mode mprime) + (or |$bootStrapMode| (|isDomainForm| mprime env))) + (list y mprime (|addDomain| mprime env)) + (list y mprime env)))))) \end{chunk} \defun{comp3}{comp3} -\begin{verbatim} -;comp3(x,m,$e) == -; --returns a Triple or %else nil to signalcan't do' -; $e:= addDomain(m,$e) -; e:= $e --for debugging purposes -; m is ["Mapping",:.] => compWithMappingMode(x,m,e) -; m is ["QUOTE",a] => (x=a => [x,m,$e]; nil) -; STRINGP m => (atom x => (m=x or m=STRINGIMAGE x => [m,m,e]; nil); nil) -; ^x or atom x => compAtom(x,m,e) -; op:= first x -; getmode(op,e) is ["Mapping",:ml] and (u:= applyMapping(x,m,e,ml)) => u -; op is ["KAPPA",sig,varlist,body] => compApply(sig,varlist,body,rest x,m,e) -; op=":" => compColon(x,m,e) -; op="::" => compCoerce(x,m,e) -; not ($insideCompTypeOf=true) and stringPrefix?('"TypeOf",PNAME op) => -; compTypeOf(x,m,e) -; t:= compExpression(x,m,e) -; t is [x',m',e'] and not MEMBER(m',getDomainsInScope e') => -; [x',m',addDomain(m',e')] -; t -\end{verbatim} \calls{comp3}{addDomain} \calls{comp3}{compWithMappingMode} \calls{comp3}{compAtom} @@ -13784,71 +23247,73 @@ \usesdollar{comp3}{e} \usesdollar{comp3}{insideCompTypeOf} \begin{chunk}{defun comp3} -(defun |comp3| (x m |$e|) +(defun |comp3| (form mode |$e|) (declare (special |$e|)) - (let (e a op ml u sig varlist tmp3 body tt xprime tmp1 mprime tmp2 eprime) + (let (env a op ml u sig varlist tmp3 body tt xprime tmp1 mprime tmp2 eprime) (declare (special |$insideCompTypeOf|)) - (setq |$e| (|addDomain| m |$e|)) - (setq e |$e|) + (setq |$e| (|addDomain| mode |$e|)) + (setq env |$e|) (cond - ((and (pairp m) (eq (qcar m) '|Mapping|)) (|compWithMappingMode| x m e)) - ((and (pairp m) (eq (qcar m) 'quote) + ((and (consp mode) (eq (qfirst mode) '|Mapping|)) + (|compWithMappingMode| form mode env)) + ((and (consp mode) (eq (qfirst mode) 'quote) (progn - (setq tmp1 (qcdr m)) - (and (pairp tmp1) (eq (qcdr tmp1) nil) - (progn (setq a (qcar tmp1)) t)))) - (when (equal x a) (list x m |$e|))) - ((stringp m) - (when (and (atom x) (or (equal m x) (equal m (princ-to-string x)))) - (list m m e ))) - ((or (null x) (atom x)) (|compAtom| x m e)) + (setq tmp1 (qrest mode)) + (and (consp tmp1) (eq (qrest tmp1) nil) + (progn (setq a (qfirst tmp1)) t)))) + (when (equal form a) (list form mode |$e|))) + ((stringp mode) + (when (and (atom form) + (or (equal mode form) (equal mode (princ-to-string form)))) + (list mode mode env ))) + ((or (null form) (atom form)) (|compAtom| form mode env)) (t - (setq op (car x)) + (setq op (car form)) (cond ((and (progn - (setq tmp1 (|getmode| op e)) - (and (pairp tmp1) - (eq (qcar tmp1) '|Mapping|) - (progn (setq ml (qcdr tmp1)) t))) - (setq u (|applyMapping| x m e ml))) + (setq tmp1 (|getmode| op env)) + (and (consp tmp1) + (eq (qfirst tmp1) '|Mapping|) + (progn (setq ml (qrest tmp1)) t))) + (setq u (|applyMapping| form mode env ml))) u) - ((and (pairp op) (eq (qcar op) 'kappa) + ((and (consp op) (eq (qfirst op) 'kappa) (progn - (setq tmp1 (qcdr op)) - (and (pairp tmp1) + (setq tmp1 (qrest op)) + (and (consp tmp1) (progn - (setq sig (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) + (setq sig (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) (progn - (setq varlist (qcar tmp2)) - (setq tmp3 (qcdr tmp2)) - (and (pairp tmp3) - (eq (qcdr tmp3) nil) + (setq varlist (qfirst tmp2)) + (setq tmp3 (qrest tmp2)) + (and (consp tmp3) + (eq (qrest tmp3) nil) (progn - (setq body (qcar tmp3)) + (setq body (qfirst tmp3)) t)))))))) - (|compApply| sig varlist body (cdr x) m e)) - ((eq op '|:|) (|compColon| x m e)) - ((eq op '|::|) (|compCoerce| x m e)) + (|compApply| sig varlist body (cdr form) mode env)) + ((eq op '|:|) (|compColon| form mode env)) + ((eq op '|::|) (|compCoerce| form mode env)) ((and (null (eq |$insideCompTypeOf| t)) (|stringPrefix?| "TypeOf" (pname op))) - (|compTypeOf| x m e)) + (|compTypeOf| form mode env)) (t - (setq tt (|compExpression| x m e)) + (setq tt (|compExpression| form mode env)) (cond - ((and (pairp tt) + ((and (consp tt) (progn - (setq xprime (qcar tt)) - (setq tmp1 (qcdr tt)) - (and (pairp tmp1) + (setq xprime (qfirst tt)) + (setq tmp1 (qrest tt)) + (and (consp tmp1) (progn - (setq mprime (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) + (setq mprime (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) (progn - (setq eprime (qcar tmp2)) + (setq eprime (qfirst tmp2)) t))))) (null (|member| mprime (|getDomainsInScope| eprime)))) (list xprime mprime (|addDomain| mprime eprime))) @@ -13856,6 +23321,112 @@ \end{chunk} +\defun{applyMapping}{applyMapping} +\calls{applyMapping}{nequal} +\calls{applyMapping}{isCategoryForm} +\calls{applyMapping}{sublis} +\calls{applyMapping}{comp} +\calls{applyMapping}{convert} +\calls{applyMapping}{member} +\calls{applyMapping}{get} +\calls{applyMapping}{getAbbreviation} +\calls{applyMapping}{encodeItem} +\refsdollar{applyMapping}{FormalMapVariableList} +\refsdollar{applyMapping}{form} +\refsdollar{applyMapping}{op} +\refsdollar{applyMapping}{prefix} +\refsdollar{applyMapping}{formalArgList} +\begin{chunk}{defun applyMapping} +(defun |applyMapping| (t0 m e ml) + (prog (op argl mlp temp1 arglp nprefix opp form pairlis) + (declare (special |$FormalMapVariableList| |$form| |$op| |$prefix| + |$formalArgList|)) + (return + (progn + (setq op (car t0)) + (setq argl (cdr t0)) + (cond + ((nequal (|#| argl) (1- (|#| ml))) nil) + ((|isCategoryForm| (car ml) e) + (setq pairlis + (loop for a in argl for v in |$FormalMapVariableList| + collect (cons v a))) + (setq mlp (sublis pairlis ml)) + (setq arglp + (loop for x in argl for mp in (rest mlp) + collect (car + (progn + (setq temp1 (or (|comp| x mp e) (return '|failed|))) + (setq e (caddr temp1)) + temp1)))) + (when (eq arglp '|failed|) (return nil)) + (setq form (cons op arglp)) + (|convert| (list form (car mlp) e) m)) + (t + (setq arglp + (loop for x in argl for mp in (rest ml) + collect (car + (progn + (setq temp1 (or (|comp| x mp e) (return '|failed|))) + (setq e (caddr temp1)) + temp1)))) + (when (eq arglp '|failed|) (return nil)) + (setq form + (cond + ((and (null (|member| op |$formalArgList|)) + (atom op) + (null (|get| op '|value| e))) + (setq nprefix + (or |$prefix| (|getAbbreviation| |$op| (|#| (cdr |$form|))))) + (setq opp + (intern (strconc + (|encodeItem| nprefix) '|;| (|encodeItem| op)))) + (cons opp (append arglp (list '$)))) + (t + (cons '|call| (cons (list '|applyFun| op) arglp))))) + (setq pairlis + (loop for a in arglp for v in |$FormalMapVariableList| + collect (cons v a))) + (|convert| (list form (sublis pairlis (car ml)) e) m))))))) + +\end{chunk} + +\defun{compApply}{compApply} +\calls{compApply}{comp} +\calls{compApply}{Pair} +\calls{compApply}{removeEnv} +\calls{compApply}{resolve} +\calls{compApply}{AddContour} +\refsdollar{compApply}{EmptyMode} +\begin{chunk}{defun compApply} +(defun |compApply| (sig varl body argl m e) + (let (temp1 argtl contour code mq bodyq) + (declare (special |$EmptyMode|)) + (setq argtl + (loop for x in argl + collect (progn + (setq temp1 (|comp| x |$EmptyMode| e)) + (setq e (caddr temp1)) + temp1))) + (setq contour + (loop for x in varl + for mq in (cdr sig) + for a in argl + collect + (|Pair| x + (list + (list '|mode| mq) + (list '|value| (|removeEnv| (|comp| a mq e))))))) + (setq code + (cons (list 'lambda varl bodyq) + (loop for tt in argtl + collect (car tt)))) + (setq mq (|resolve| m (car sig))) + (setq bodyq (car (|comp| body mq (|addContour| contour e)))) + (list code mq e))) + +\end{chunk} + \defun{compTypeOf}{compTypeOf} \calls{compTypeOf}{eqsubstlist} \calls{compTypeOf}{get} @@ -13864,16 +23435,16 @@ \usesdollar{compTypeOf}{insideCompTypeOf} \usesdollar{compTypeOf}{FormalMapVariableList} \begin{chunk}{defun compTypeOf} -(defun |compTypeOf| (x m e) +(defun |compTypeOf| (form mode env) (let (|$insideCompTypeOf| op argl newModemap) (declare (special |$insideCompTypeOf| |$FormalMapVariableList|)) - (setq op (car x)) - (setq argl (cdr x)) + (setq op (car form)) + (setq argl (cdr form)) (setq |$insideCompTypeOf| t) (setq newModemap - (eqsubstlist argl |$FormalMapVariableList| (|get| op '|modemap| e))) - (setq e (|put| op '|modemap| newModemap e)) - (|comp3| x m e))) + (eqsubstlist argl |$FormalMapVariableList| (|get| op '|modemap| env))) + (setq env (|put| op '|modemap| newModemap env)) + (|comp3| form mode env))) \end{chunk} @@ -13887,23 +23458,23 @@ \usesdollar{compColonInside}{newCompilerUnionFlag} \usesdollar{compColonInside}{EmptyMode} \begin{chunk}{defun compColonInside} -(defun |compColonInside| (x m e mprime) +(defun |compColonInside| (form mode env mprime) (let (mpp warningMessage td tprime) (declare (special |$newCompilerUnionFlag| |$EmptyMode|)) - (setq e (|addDomain| mprime e)) - (when (setq td (|comp| x |$EmptyMode| e)) + (setq env (|addDomain| mprime env)) + (when (setq td (|comp| form |$EmptyMode| env)) (cond ((equal (setq mpp (second td)) mprime) (setq warningMessage (list '|:| mprime '| -- should replace by @|)))) (setq td (list (car td) mprime (third td))) - (when (setq tprime (|coerce| td m)) + (when (setq tprime (|coerce| td mode)) (cond (warningMessage (|stackWarning| warningMessage)) ((and |$newCompilerUnionFlag| (eq (|opOf| mpp) '|Union|)) (setq tprime (|stackSemanticError| - (list '|cannot pretend | x '| of mode | mpp '| to mode | mprime ) + (list '|cannot pretend | form '| of mode | mpp '| to mode | mprime ) nil))) (t (|stackWarning| @@ -13913,22 +23484,6 @@ \end{chunk} \defun{compAtom}{compAtom} -\begin{verbatim} -;compAtom(x,m,e) == -; T:= compAtomWithModemap(x,m,e,get(x,"modemap",e)) => T -; x="nil" => -; T:= -; modeIsAggregateOf('List,m,e) is [.,R]=> compList(x,['List,R],e) -; modeIsAggregateOf('Vector,m,e) is [.,R]=> compVector(x,['Vector,R],e) -; T => convert(T,m) -; t:= -; isSymbol x => -; compSymbol(x,m,e) or return nil -; m = $Expression and primitiveType x => [x,m,e] -; STRINGP x => [x,x,e] -; [x,primitiveType x or return nil,e] -; convert(t,m) -\end{verbatim} \calls{compAtom}{compAtomWithModemap} \calls{compAtom}{get} \calls{compAtom}{modeIsAggregateOf} @@ -13941,43 +23496,95 @@ \calls{compAtom}{primitiveType} \usesdollar{compAtom}{Expression} \begin{chunk}{defun compAtom} -(defun |compAtom| (x m e) +(defun |compAtom| (form mode env) (prog (tmp1 tmp2 r td tt) (declare (special |$Expression|)) (return (cond - ((setq td (|compAtomWithModemap| x m e (|get| x '|modemap| e))) td) - ((eq x '|nil|) + ((setq td + (|compAtomWithModemap| form mode env (|get| form '|modemap| env))) td) + ((eq form '|nil|) (setq td (cond ((progn - (setq tmp1 (|modeIsAggregateOf| '|List| m e)) - (and (pairp tmp1) + (setq tmp1 (|modeIsAggregateOf| '|List| mode env)) + (and (consp tmp1) (progn - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) (progn - (setq r (qcar tmp2)) t))))) - (|compList| x (list '|List| r) e)) + (setq r (qfirst tmp2)) t))))) + (|compList| form (list '|List| r) env)) ((progn - (setq tmp1 (|modeIsAggregateOf| '|Vector| m e)) - (and (pairp tmp1) + (setq tmp1 (|modeIsAggregateOf| '|Vector| mode env)) + (and (consp tmp1) (progn - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) (eq (qcdr tmp2) nil) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) (eq (qrest tmp2) nil) (progn - (setq r (qcar tmp2)) t))))) - (|compVector| x (list '|Vector| r) e)))) - (when td (|convert| td m))) + (setq r (qfirst tmp2)) t))))) + (|compVector| form (list '|Vector| r) env)))) + (when td (|convert| td mode))) (t (setq tt (cond - ((|isSymbol| x) (or (|compSymbol| x m e) (return nil))) - ((and (equal m |$Expression|) (|primitiveType| x)) (list x m e )) - ((stringp x) (list x x e )) - (t (list x (or (|primitiveType| x) (return nil)) e )))) - (|convert| tt m)))))) + ((|isSymbol| form) (or (|compSymbol| form mode env) (return nil))) + ((and (equal mode |$Expression|) + (|primitiveType| form)) (list form mode env )) + ((stringp form) (list form form env )) + (t (list form (or (|primitiveType| form) (return nil)) env )))) + (|convert| tt mode)))))) + +\end{chunk} + +\defun{compAtomWithModemap}{compAtomWithModemap} +\calls{compAtomWithModemap}{transImplementation} +\calls{compAtomWithModemap}{modeEqual} +\calls{compAtomWithModemap}{convert} +\refsdollar{compAtomWithModemap}{NoValueMode} +\begin{chunk}{defun compAtomWithModemap} +(defun |compAtomWithModemap| (x m env v) + (let (tt transimp y) + (declare (special |$NoValueMode|)) + (cond + ((setq transimp + (loop for map in v + when ; map is [[.,target],[.,fn]]] + (and (consp map) (consp (qcar map)) (consp (qcdar map)) + (eq (qcddar map) nil) + (consp (qcdr map)) (eq (qcddr map) nil) + (consp (qcadr map)) (consp (qcdadr map)) + (eq (qcddadr map) nil)) + collect + (list (|transImplementation| x map (qcadadr map)) (qcadar map) env))) + (cond + ((setq tt + (let (result) + (loop for item in transimp + when (|modeEqual| m (cadr item)) + do (setq result (or result item))) + result)) + tt) + ((eql 1 (|#| (setq transimp + (loop for ta in transimp + when (setq y (|convert| ta m)) + collect y)))) + (car transimp)) + ((and (< 0 (|#| transimp)) (equal m |$NoValueMode|)) + (car transimp)) + (t nil)))))) + +\end{chunk} + +\defun{transImplementation}{transImplementation} +\calls{transImplementation}{genDeltaEntry} +\begin{chunk}{defun transImplementation} +(defun |transImplementation| (op map fn) + (setq fn (|genDeltaEntry| (cons op map))) + (if (and (consp fn) (eq (qcar fn) 'xlam)) + (cons fn nil) + (cons '|call| (cons fn nil)))) \end{chunk} @@ -13985,12 +23592,13 @@ \calls{convert}{resolve} \calls{convert}{coerce} \begin{chunk}{defun convert} -(defun |convert| (td m) +(defun |convert| (td mode) (let (res) - (when (setq res (|resolve| (second td) m)) + (when (setq res (|resolve| (second td) mode)) (|coerce| td res)))) \end{chunk} + \defun{primitiveType}{primitiveType} \usesdollar{primitiveType}{DoubleFloat} \usesdollar{primitiveType}{NegativeInteger} @@ -13999,18 +23607,18 @@ \usesdollar{primitiveType}{String} \usesdollar{primitiveType}{EmptyMode} \begin{chunk}{defun primitiveType} -(defun |primitiveType| (x) +(defun |primitiveType| (form) (declare (special |$DoubleFloat| |$NegativeInteger| |$PositiveInteger| |$NonNegativeInteger| |$String| |$EmptyMode|)) (cond - ((null x) |$EmptyMode|) - ((stringp x) |$String|) - ((integerp x) + ((null form) |$EmptyMode|) + ((stringp form) |$String|) + ((integerp form) (cond - ((eql x 0) |$NonNegativeInteger|) - ((> x 0) |$PositiveInteger|) + ((eql form 0) |$NonNegativeInteger|) + ((> form 0) |$PositiveInteger|) (t |$NegativeInteger|))) - ((floatp x) |$DoubleFloat|) + ((floatp form) |$DoubleFloat|) (t nil))) \end{chunk} @@ -14032,73 +23640,67 @@ \usesdollar{compSymbol}{Boolean} \usesdollar{compSymbol}{NoValue} \begin{chunk}{defun compSymbol} -(defun |compSymbol| (s m e) - (let (v mprime mode) +(defun |compSymbol| (form mode env) + (let (v mprime newmode) (declare (special |$Symbol| |$Expression| |$FormalMapVariableList| |$compForModeIfTrue| |$formalArgList| |$NoValueMode| |$functorLocalParameters| |$Boolean| |$NoValue|)) (cond - ((eq s '|$NoValue|) (list '|$NoValue| |$NoValueMode| e )) - ((|isFluid| s) - (setq mode (|getmode| s e)) - (when mode (list s (|getmode| s e) e))) - ((eq s '|true|) (list '(quote t) |$Boolean| e )) - ((eq s '|false|) (list nil |$Boolean| e )) - ((or (equal s m) (|get| s '|isLiteral| e)) (list (list 'quote s) s e)) - ((setq v (|get| s '|value| e)) + ((eq form '|$NoValue|) (list '|$NoValue| |$NoValueMode| env )) + ((|isFluid| form) + (setq newmode (|getmode| form env)) + (when newmode (list form (|getmode| form env) env))) + ((eq form '|true|) (list '(quote t) |$Boolean| env )) + ((eq form '|false|) (list nil |$Boolean| env )) + ((or (equal form mode) + (|get| form '|isLiteral| env)) (list (list 'quote form) form env)) + ((setq v (|get| form '|value| env)) (cond - ((member s |$functorLocalParameters|) + ((member form |$functorLocalParameters|) ; s will be replaced by an ELT form in beforeCompile - (|NRTgetLocalIndex| s) - (list s (second v) e)) + (|NRTgetLocalIndex| form) + (list form (second v) env)) (t - ; s has been SETQd - (list s (second v) e)))) - ((setq mprime (|getmode| s e)) - (cond - ((and (null (|member| s |$formalArgList|)) - (null (member s |$FormalMapVariableList|)) - (null (|isFunction| s e)) + ; form has been SETQd + (list form (second v) env)))) + ((setq mprime (|getmode| form env)) + (cond + ((and (null (|member| form |$formalArgList|)) + (null (member form |$FormalMapVariableList|)) + (null (|isFunction| form env)) (null (eq |$compForModeIfTrue| t))) - (|errorRef| s))) - (list s mprime e )) - ((member s |$FormalMapVariableList|) - (|stackMessage| (list '|no mode found for| s ))) - ((or (equal m |$Expression|) (equal m |$Symbol|)) - (list (list 'quote s) m e )) - ((null (|isFunction| s e)) (|errorRef| s))))) + (|errorRef| form))) + (list form mprime env )) + ((member form |$FormalMapVariableList|) + (|stackMessage| (list '|no mode found for| form ))) + ((or (equal mode |$Expression|) (equal mode |$Symbol|)) + (list (list 'quote form) mode env )) + ((null (|isFunction| form env)) (|errorRef| form))))) \end{chunk} \defun{compList}{compList} -\begin{verbatim} -;compList(l,m is ["List",mUnder],e) == -; null l => [NIL,m,e] -; Tl:= [[.,mUnder,e]:= comp(x,mUnder,e) or return "failed" for x in l] -; Tl="failed" => nil -; T:= [["LIST",:[T.expr for T in Tl]],["List",mUnder],e] -\end{verbatim} \calls{compList}{comp} \begin{chunk}{defun compList} -(defun |compList| (l m e) - (let (tmp1 tmp2 t0 failed (mUnder (second m))) - (if (null l) - (list nil m e) +(defun |compList| (form mode env) + (let (tmp1 tmp2 t0 failed (newmode (second mode))) + (if (null form) + (list nil mode env) (progn (setq t0 - (do ((t3 l (cdr t3)) (x nil)) + (do ((t3 form (cdr t3)) (x nil)) ((or (atom t3) failed) (unless failed (nreverse0 tmp2))) (setq x (car t3)) - (if (setq tmp1 (|comp| x mUnder e)) + (if (setq tmp1 (|comp| x newmode env)) (progn - (setq mUnder (second tmp1)) - (setq e (third tmp1)) + (setq newmode (second tmp1)) + (setq env (third tmp1)) (push tmp1 tmp2)) (setq failed t)))) (unless failed (cons (cons 'list (loop for texpr in t0 collect (car texpr))) - (list (list '|List| mUnder) e))))))) + (list (list '|List| newmode) env))))))) \end{chunk} @@ -14107,13 +23709,13 @@ \calls{compExpression}{compForm} \usesdollar{compExpression}{insideExpressionIfTrue} \begin{chunk}{defun compExpression} -(defun |compExpression| (x m e) +(defun |compExpression| (form mode env) (let (|$insideExpressionIfTrue| fn) (declare (special |$insideExpressionIfTrue|)) (setq |$insideExpressionIfTrue| t) - (if (and (atom (car x)) (setq fn (getl (car x) 'special))) - (funcall fn x m e) - (|compForm| x m e)))) + (if (and (atom (car form)) (setq fn (getl (car form) 'special))) + (funcall fn form mode env) + (|compForm| form mode env)))) \end{chunk} @@ -14122,10 +23724,10 @@ \calls{compForm}{compArgumentsAndTryAgain} \calls{compForm}{stackMessageIfNone} \begin{chunk}{defun compForm} -(defun |compForm| (form m e) +(defun |compForm| (form mode env) (cond - ((|compForm1| form m e)) - ((|compArgumentsAndTryAgain| form m e)) + ((|compForm1| form mode env)) + ((|compArgumentsAndTryAgain| form mode env)) (t (|stackMessageIfNone| (list '|cannot compile| '|%b| form '|%d| ))))) \end{chunk} @@ -14148,7 +23750,7 @@ \usesdollar{compForm1}{Expression} \usesdollar{compForm1}{EmptyMode} \begin{chunk}{defun compForm1} -(defun |compForm1| (form m e) +(defun |compForm1| (form mode env) (let (|$NumberOfArgsIfInteger| op argl domain tmp1 opprime ans mmList td tmp2 tmp3 tmp4 tmp5 tmp6 tmp7) (declare (special |$NumberOfArgsIfInteger| |$Expression| |$EmptyMode|)) @@ -14160,69 +23762,295 @@ (list (cons op (dolist (x argl (nreverse0 tmp4)) - (setq tmp2 (|outputComp| x e)) - (setq e (third tmp2)) + (setq tmp2 (|outputComp| x env)) + (setq env (third tmp2)) (push (car tmp2) tmp4))) - m e)) - ((and (pairp op) (eq (qcar op) '|elt|) + mode env)) + ((and (consp op) (eq (qfirst op) '|elt|) (progn - (setq tmp3 (qcdr op)) - (and (pairp tmp3) + (setq tmp3 (qrest op)) + (and (consp tmp3) (progn - (setq domain (qcar tmp3)) - (setq tmp1 (qcdr tmp3)) - (and (pairp tmp1) - (eq (qcdr tmp1) nil) + (setq domain (qfirst tmp3)) + (setq tmp1 (qrest tmp3)) + (and (consp tmp1) + (eq (qrest tmp1) nil) (progn - (setq opprime (qcar tmp1)) + (setq opprime (qfirst tmp1)) t)))))) (cond ((eq domain '|Lisp|) (list (cons opprime (dolist (x argl (nreverse tmp7)) - (setq tmp2 (|compOrCroak| x |$EmptyMode| e)) - (setq e (third tmp2)) + (setq tmp2 (|compOrCroak| x |$EmptyMode| env)) + (setq env (third tmp2)) (push (car tmp2) tmp7))) - m e)) + mode env)) ((and (equal domain |$Expression|) (eq opprime '|construct|)) - (|compExpressionList| argl m e)) - ((and (eq opprime 'collect) (|coerceable| domain m e)) - (when (setq td (|comp| (cons opprime argl) domain e)) - (|coerce| td m))) - ((and (pairp domain) (eq (qcar domain) '|Mapping|) + (|compExpressionList| argl mode env)) + ((and (eq opprime 'collect) (|coerceable| domain mode env)) + (when (setq td (|comp| (cons opprime argl) domain env)) + (|coerce| td mode))) + ((and (consp domain) (eq (qfirst domain) '|Mapping|) (setq ans - (|compForm2| (cons opprime argl) m - (setq e (|augModemapsFromDomain1| domain domain e)) - (dolist (x (|getFormModemaps| (cons opprime argl) e) + (|compForm2| (cons opprime argl) mode + (setq env (|augModemapsFromDomain1| domain domain env)) + (dolist (x (|getFormModemaps| (cons opprime argl) env) (nreverse0 tmp6)) (when - (and (pairp x) - (and (pairp (qcar x)) (equal (qcar (qcar x)) domain))) + (and (consp x) + (and (consp (qfirst x)) (equal (qcaar x) domain))) (push x tmp6)))))) ans) ((setq ans - (|compForm2| (cons opprime argl) m - (setq e (|addDomain| domain e)) - (dolist (x (|getFormModemaps| (cons opprime argl) e) + (|compForm2| (cons opprime argl) mode + (setq env (|addDomain| domain env)) + (dolist (x (|getFormModemaps| (cons opprime argl) env) (nreverse0 tmp5)) (when - (and (pairp x) - (and (pairp (qcar x)) (equal (qcar (qcar x)) domain))) + (and (consp x) + (and (consp (qfirst x)) (equal (qcaar x) domain))) (push x tmp5))))) ans) - ((and (eq opprime '|construct|) (|coerceable| domain m e)) - (when (setq td (|comp| (cons opprime argl) domain e)) - (|coerce| td m))) + ((and (eq opprime '|construct|) (|coerceable| domain mode env)) + (when (setq td (|comp| (cons opprime argl) domain env)) + (|coerce| td mode))) (t nil))) (t - (setq e (|addDomain| m e)) + (setq env (|addDomain| mode env)) (cond - ((and (setq mmList (|getFormModemaps| form e)) - (setq td (|compForm2| form m e mmList))) + ((and (setq mmList (|getFormModemaps| form env)) + (setq td (|compForm2| form mode env mmList))) td) (t - (|compToApply| op argl m e))))))) + (|compToApply| op argl mode env))))))) + +\end{chunk} + +\defun{compToApply}{compToApply} +\calls{compToApply}{compNoStacking} +\calls{compToApply}{compApplication} +\refsdollar{compToApply}{EmptyMode} +\begin{chunk}{defun compToApply} +(defun |compToApply| (op argl m e) + (let (tt m1) + (declare (special |$EmptyMode|)) + (setq tt (|compNoStacking| op |$EmptyMode| e)) + (when tt + (setq m1 (cadr tt)) + (cond + ((and (consp (car tt)) (eq (qcar (car tt)) 'quote) + (consp (qcdr (car tt))) (eq (qcddr (car tt)) nil) + (equal (qcadr (car tt)) m1)) + nil) + (t + (|compApplication| op argl m (caddr tt) tt)))))) + +\end{chunk} + +\defun{compApplication}{compApplication} +\calls{compApplication}{eltForm} +\calls{compApplication}{resolve} +\calls{compApplication}{coerce} +\calls{compApplication}{strconc} +\calls{compApplication}{encodeItem} +\calls{compApplication}{getAbbreviation} +\calls{compApplication}{length} +\calls{compApplication}{member} +\calls{compApplication}{comp} +\calls{compApplication}{nequal} +\calls{compApplication}{isCategoryForm} +\refsdollar{compApplication}{Category} +\refsdollar{compApplication}{formatArgList} +\refsdollar{compApplication}{op} +\refsdollar{compApplication}{form} +\refsdollar{compApplication}{prefix} +\begin{chunk}{defun compApplication} +(defun |compApplication| (op argl m env tt) + (let (argml retm temp1 argTl nprefix opp form eltForm) + (declare (special |$form| |$op| |$prefix| |$formalArgList| |$Category|)) + (cond + ((and (consp (cadr tt)) (eq (qcar (cadr tt)) '|Mapping|) + (consp (qcdr (cadr tt)))) + (setq retm (qcadr (cadr tt))) + (setq argml (qcddr (cadr tt))) + (cond + ((nequal (|#| argl) (|#| argml)) nil) + (t + (setq retm (|resolve| m retm)) + (cond + ((or (equal retm |$Category|) (|isCategoryForm| retm env)) + nil) + (t + (setq argTl + (loop for x in argl for m in argml + collect (progn + (setq temp1 (or (|comp| x m env) (return '|failed|))) + (setq env (caddr temp1)) + temp1))) + (cond + ((eq argTl '|failed|) nil) + (t + (setq form + (cond + ((and + (null + (or (|member| op |$formalArgList|) + (|member| (car tt) |$formalArgList|))) + (atom (car tt))) + (setq nprefix + (or |$prefix| (|getAbbreviation| |$op| (|#| (cdr |$form|))))) + (setq opp + (intern + (strconc (|encodeItem| nprefix) '|;| (|encodeItem| (car tt))))) + (cons opp + (append + (loop for item in argTl collect (car item)) + (list '$)))) + (t + (cons '|call| + (cons (list '|applyFun| (car tt)) + (loop for item in argTl collect (car item))))))) + (|coerce| (list form retm env) (|resolve| retm m))))))))) + ((eq op '|elt|) nil) + (t + (setq eltForm (cons '|elt| (cons op argl))) + (|comp| eltForm m env))))) + +\end{chunk} + +\defun{getFormModemaps}{getFormModemaps} +\calls{getFormModemaps}{qcar} +\calls{getFormModemaps}{qcdr} +\calls{getFormModemaps}{getFormModemaps} +\calls{getFormModemaps}{nreverse0} +\calls{getFormModemaps}{get} +\calls{getFormModemaps}{nequal} +\calls{getFormModemaps}{eltModemapFilter} +\calls{getFormModemaps}{last} +\calls{getFormModemaps}{length} +\calls{getFormModemaps}{stackMessage} +\refsdollar{getFormModemaps}{insideCategoryPackageIfTrue} +\begin{chunk}{defun getFormModemaps} +(defun |getFormModemaps| (form env) + (let (op argl domain op1 modemapList nargs finalModemapList) + (declare (special |$insideCategoryPackageIfTrue|)) + (setq op (car form)) + (setq argl (cdr form)) + (cond + ((and (consp op) (eq (qfirst op) '|elt|) (CONSP (qrest op)) + (consp (qcddr op)) (eq (qcdddr op) nil)) + (setq op1 (third op)) + (setq domain (second op)) + (loop for x in (|getFormModemaps| (cons op1 argl) env) + when (and (consp x) (consp (qfirst x)) (equal (qcaar x) domain)) + collect x)) + ((null (atom op)) nil) + (t + (setq modemapList (|get| op '|modemap| env)) + (when |$insideCategoryPackageIfTrue| + (setq modemapList + (loop for x in modemapList + when (and (consp x) (consp (qfirst x)) (nequal (qcaar x) '$)) + collect x))))) + (cond + ((eq op '|elt|) + (setq modemapList (|eltModemapFilter| (|last| argl) modemapList env))) + ((eq op '|setelt|) + (setq modemapList (|seteltModemapFilter| (CADR argl) modemapList env)))) + (setq nargs (|#| argl)) + (setq finalModemapList + (loop for mm in modemapList + when (equal (|#| (cddar mm)) nargs) + collect mm)) + (when (and modemapList (null finalModemapList)) + (|stackMessage| + (list '|no modemap for| '|%b| op '|%d| '|with | nargs '| arguments|))) + finalModemapList)) + +\end{chunk} + +\defun{eltModemapFilter}{eltModemapFilter} +\calls{eltModemapFilter}{qcar} +\calls{eltModemapFilter}{qcdr} +\calls{eltModemapFilter}{isConstantId} +\calls{eltModemapFilter}{stackMessage} +\begin{chunk}{defun eltModemapFilter} +(defun |eltModemapFilter| (name mmList env) + (let (z) + (if (|isConstantId| name env) + (cond + ((setq z + (loop for mm in mmList + when (and (consp mm) (consp (qfirst mm)) (consp (qcdar mm)) + (consp (qcddar mm)) + (consp (qcdddar mm)) + (equal (fourth (first mm)) name)) + collect mm)) + z) + (t + (|stackMessage| + (list '|selector variable: | name '| is undeclared and unbound|)) + nil)) + mmList))) + +\end{chunk} + +\defun{seteltModemapFilter}{seteltModemapFilter} +\calls{seteltModemapFilter}{isConstantId} +\calls{seteltModemapFilter}{stackMessage} +\begin{chunk}{defun seteltModemapFilter} +(defun |seteltModemapFilter| (name mmList env) + (let (z) + (if (|isConstantId| name env) + (cond + ((setq z + (loop for mm in mmList + when (equal (car (cdddar mm)) name) + collect mm)) + z) + (t + (|stackMessage| + (list '|selector variable: | name '| is undeclared and unbound|)) + nil)) + mmList))) + +\end{chunk} + +\defun{compExpressionList}{compExpressionList} +\calls{compExpressionList}{nreverse0} +\calls{compExpressionList}{comp} +\calls{compExpressionList}{convert} +\refsdollar{compExpressionList}{Expression} +\begin{chunk}{defun compExpressionList} +(defun |compExpressionList| (argl m env) + (let (tmp1 tlst) + (declare (special |$Expression|)) + (setq tlst + (prog (result) + (return + (do ((tmp2 argl (cdr tmp2)) (x nil)) + ((or (atom tmp2)) (nreverse0 result)) + (setq x (car tmp2)) + (setq result + (cons + (progn + (setq tmp1 (or (|comp| x |$Expression| env) (return '|failed|))) + (setq env (third tmp1)) + tmp1) + result)))))) + (unless (eq tlst '|failed|) + (|convert| + (list (cons 'list + (prog (result) + (return + (do ((tmp3 tlst (cdr tmp3)) (y nil)) + ((or (atom tmp3)) (nreverse0 result)) + (setq y (car tmp3)) + (setq result (cons (car y) result)))))) + |$Expression| env) + m)))) \end{chunk} @@ -14240,7 +24068,7 @@ \usesdollar{compForm2}{EmptyMode} \usesdollar{compForm2}{TriangleVariableList} \begin{chunk}{defun compForm2} -(defun |compForm2| (form m e modemapList) +(defun |compForm2| (form mode env modemapList) (let (op argl sargl aList dc cond nsig v ncond deleteList newList td tl partialModeList tmp1 tmp2 tmp3 tmp4 tmp5 tmp6 tmp7) (declare (special |$EmptyMode| |$TriangleVariableList|)) @@ -14253,43 +24081,43 @@ ; the conditions are right (i.e. subsumer true whenever subsumee true) (dolist (u modemapList) (cond - ((and (pairp u) + ((and (consp u) (progn - (setq tmp6 (qcar u)) - (and (pairp tmp6) (progn (setq dc (qcar tmp6)) t))) + (setq tmp6 (qfirst u)) + (and (consp tmp6) (progn (setq dc (qfirst tmp6)) t))) (progn - (setq tmp7 (qcdr u)) - (and (pairp tmp7) (eq (qcdr tmp7) nil) + (setq tmp7 (qrest u)) + (and (consp tmp7) (eq (qrest tmp7) nil) (progn - (setq tmp1 (qcar tmp7)) - (and (pairp tmp1) + (setq tmp1 (qfirst tmp7)) + (and (consp tmp1) (progn - (setq cond (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) (eq (qcdr tmp2) nil) + (setq cond (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) (eq (qrest tmp2) nil) (progn - (setq tmp3 (qcar tmp2)) - (and (pairp tmp3) (eq (qcar tmp3) '|Subsumed|) + (setq tmp3 (qfirst tmp2)) + (and (consp tmp3) (eq (qfirst tmp3) '|Subsumed|) (progn - (setq tmp4 (qcdr tmp3)) - (and (pairp tmp4) + (setq tmp4 (qrest tmp3)) + (and (consp tmp4) (progn - (setq tmp5 (qcdr tmp4)) - (and (pairp tmp5) - (eq (qcdr tmp5) nil) + (setq tmp5 (qrest tmp4)) + (and (consp tmp5) + (eq (qrest tmp5) nil) (progn - (setq nsig (qcar tmp5)) + (setq nsig (qfirst tmp5)) t))))))))))))) (setq v (|assoc| (cons dc nsig) modemapList)) - (pairp v) + (consp v) (progn - (setq tmp6 (qcdr v)) - (and (pairp tmp6) (eq (qcdr tmp6) nil) + (setq tmp6 (qrest v)) + (and (consp tmp6) (eq (qrest tmp6) nil) (progn - (setq tmp7 (qcar tmp6)) - (and (pairp tmp7) + (setq tmp7 (qfirst tmp6)) + (and (consp tmp7) (progn - (setq ncond (qcar tmp7)) + (setq ncond (qfirst tmp7)) t)))))) (setq deleteList (cons u deleteList)) (unless (|PredImplies| ncond cond) @@ -14302,15 +24130,200 @@ (setq tl (loop for x in argl while (and (|isSimple| x) - (setq td (|compUniquely| x |$EmptyMode| e))) + (setq td (|compUniquely| x |$EmptyMode| env))) collect td - do (setq e (third td)))) + do (setq env (third td)))) (cond ((some #'identity tl) (setq partialModeList (loop for x in tl collect (when x (second x)))) - (or (|compFormPartiallyBottomUp| form m e modemapList partialModeList) - (|compForm3| form m e modemapList))) - (t (|compForm3| form m e modemapList))))) + (or + (|compFormPartiallyBottomUp| form mode env modemapList partialModeList) + (|compForm3| form mode env modemapList))) + (t (|compForm3| form mode env modemapList))))) + +\end{chunk} + +\defun{compForm3}{compForm3} +\calls{compForm3}{compFormWithModemap} +\throws{compForm3}{compUniquely} +\refsdollar{compForm3}{compUniquelyIfTrue} +\begin{chunk}{defun compForm3} +(defun |compForm3| (form mode env modemapList) + (let (op argl mml tt) + (declare (special |$compUniquelyIfTrue|)) + (setq op (car form)) + (setq argl (cdr form)) + (setq tt + (let (result) + (maplist #'(lambda (mlst) + (setq result (or result + (|compFormWithModemap| form mode env (car (setq mml mlst)))))) + modemapList) + result)) + (when |$compUniquelyIfTrue| + (if (let (result) + (mapcar #'(lambda (mm) + (setq result (or result (|compFormWithModemap| form mode env mm)))) + (rest mml)) + result) + (throw '|compUniquely| nil) + tt)) + tt)) + +\end{chunk} + +\defun{compFocompFormWithModemap}{compFocompFormWithModemap} +\calls{compFocompFormWithModemap}{isCategoryForm} +\calls{compFocompFormWithModemap}{isFunctor} +\calls{compFocompFormWithModemap}{substituteIntoFunctorModemap} +\calls{compFocompFormWithModemap}{listOfSharpVars} +\calls{compFocompFormWithModemap}{coerceable} +\calls{compFocompFormWithModemap}{compApplyModemap} +\calls{compFocompFormWithModemap}{isCategoryForm} +\calls{compFocompFormWithModemap}{identp} +\calls{compFocompFormWithModemap}{get} +\calls{compFocompFormWithModemap}{last} +\calls{compFocompFormWithModemap}{convert} +\refsdollar{compFocompFormWithModemap}{Category} +\refsdollar{compFocompFormWithModemap}{FormalMapVariableList} +\begin{chunk}{defun compFormWithModemap} +(defun |compFormWithModemap| (form m env modemap) + (prog (op argl sv target cexpr targetp map temp1 f transimp sl mp formp z c + xp ep tt) + (declare (special |$Category| |$FormalMapVariableList|)) + (return + (progn + (setq op (car form)) + (setq argl (cdr form)) + (setq map (car modemap)) + (setq target (cadar modemap)) + (when (and (|isCategoryForm| target env) (|isFunctor| op)) + (setq temp1 (or (|substituteIntoFunctorModemap| argl modemap env) + (return nil))) + (setq modemap (car temp1)) + (setq env (cadr temp1)) + (setq map (car modemap)) + (setq target (cadar modemap)) + (setq cexpr (cdr modemap)) + modemap) + (setq sv (|listOfSharpVars| map)) + (when sv + (loop for x in argl for ss in |$FormalMapVariableList| + do (when (|member| ss sv) + (setq modemap (msubst x ss modemap)) + (setq map (car modemap)) + (setq target (cadar modemap)) + (setq cexpr (cdr modemap)) + modemap))) + (cond + ((null (setq targetp (|coerceable| target m env))) nil) + (t + (setq map (cons targetp (cdr map))) + (setq temp1 (or (|compApplyModemap| form modemap env nil) + (return nil))) + (setq f (car temp1)) + (setq transimp (cadr temp1)) + (setq sl (caddr temp1)) + (setq mp (sublis sl (elt map 1))) + (setq xp + (progn + (setq formp (cons f (loop for tt in transimp collect (car tt)))) + (cond + ((or (equal mp |$Category|) (|isCategoryForm| mp env)) formp) + ((and (eq op '|elt|) (consp f) (eq (qcar f) 'xlam) + (identp (car argl)) + (setq c (|get| (car argl) '|condition| env)) + (consp c) (eq (qcdr c) nil) + (consp (qcar c)) (eq (qcaar c) '|case|) + (consp (qcdar c)) (equal (qcadar c) z) + (consp (qcddar c)) (eq (qcdr (qcddar c)) nil) + (or (and (consp (qcaddar c)) + (eq (qcar (qcaddar c)) '|:|) + (consp (qcdr (qcaddar c))) + (equal (qcadr (qcaddar c)) (cadr argl)) + (consp (qcddr (qcaddar c))) + (eq (qcdddr (qcaddar c)) nil) + (equal (qcaddr (qcaddar c)) m)) + (eq (qcaddar c) (cadr argl)))) + (list 'cdr (car argl))) + (t (cons '|call| formp))))) + (setq ep + (if transimp + (caddr (|last| transimp)) + env)) + (setq tt (list xp mp ep)) + (|convert| tt m))))))) + +\end{chunk} + +\defun{substituteIntoFunctorModemap}{substituteIntoFunctorModemap} +\calls{substituteIntoFunctorModemap}{nequal} +\calls{substituteIntoFunctorModemap}{keyedSystemError} +\calls{substituteIntoFunctorModemap}{eqsubstlist} +\calls{substituteIntoFunctorModemap}{compOrCroak} +\calls{substituteIntoFunctorModemap}{sublis} +\begin{chunk}{defun substituteIntoFunctorModemap} +(defun |substituteIntoFunctorModemap| (argl modemap env) + (let (dc sig tmp1 tl substitutionList) + (setq dc (caar modemap)) + (setq sig (cdar modemap)) + (cond + ((nequal (|#| dc) (|#| sig)) + (|keyedSystemError| 'S2GE0016 + (list "substituteIntoFunctorModemap" "Incompatible maps"))) + ((equal (|#| argl) (|#| (cdr sig))) + (setq sig (eqsubstlist argl (cdr dc) sig)) + (setq tl + (loop for a in argl for m in (rest sig) + collect (progn + (setq tmp1 (|compOrCroak| a m env)) + (setq env (caddr tmp1)) + tmp1))) + (setq substitutionList + (loop for x in (rest dc) for tt in tl + collect (cons x (car tt)))) + (list (sublis substitutionList modemap) env)) + (t nil)))) + +\end{chunk} + +\defun{compFormPartiallyBottomUp}{compFormPartiallyBottomUp} +\calls{compFormPartiallyBottomUp}{compForm3} +\calls{compFormPartiallyBottomUp}{compFormMatch} +\begin{chunk}{defun compFormPartiallyBottomUp} +(defun |compFormPartiallyBottomUp| (form mode env modemapList partialModeList) + (let (mmList) + (when (setq mmList (loop for mm in modemapList + when (|compFormMatch| mm partialModeList) + collect mm)) + (|compForm3| form mode env mmList)))) + +\end{chunk} + +\defun{compFormMatch}{compFormMatch} +\begin{chunk}{defun compFormMatch} +(defun |compFormMatch| (mm partialModeList) + (labels ( + (ismatch (a b) + (cond + ((null b) t) + ((null (car b)) (|compFormMatch,match| (cdr a) (cdr b))) + ((and (equal (car a) (car b)) (ismatch (cdr a) (cdr b))))))) + (and (consp mm) (consp (qfirst mm)) (consp (qcdar mm)) + (ismatch (qcddar mm) partialModeList)))) + +\end{chunk} + +\defun{compUniquely}{compUniquely} +\catches{compUniquely}{compUniquely} +\calls{compUniquely}{comp} +\defsdollar{compUniquely}{compUniquelyIfTrue} +\begin{chunk}{defun compUniquely} +(defun |compUniquely| (x m env) + (let (|$compUniquelyIfTrue|) + (declare (special |$compUniquelyIfTrue|)) + (setq |$compUniquelyIfTrue| t) + (catch '|compUniquely| (|comp| x m env)))) \end{chunk} @@ -14319,153 +24332,43 @@ \calls{compArgumentsAndTryAgain}{compForm1} \usesdollar{compArgumentsAndTryAgain}{EmptyMode} \begin{chunk}{defun compArgumentsAndTryAgain} -(defun |compArgumentsAndTryAgain| (form m e) +(defun |compArgumentsAndTryAgain| (form mode env) (let (argl tmp1 a tmp2 tmp3 u) (declare (special |$EmptyMode|)) (setq argl (cdr form)) (cond - ((and (pairp form) (eq (qcar form) '|elt|) + ((and (consp form) (eq (qfirst form) '|elt|) (progn - (setq tmp1 (qcdr form)) - (and (pairp tmp1) + (setq tmp1 (qrest form)) + (and (consp tmp1) (progn - (setq a (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) (eq (qcdr tmp2) nil)))))) - (when (setq tmp3 (|comp| a |$EmptyMode| e)) - (setq e (third tmp3)) - (|compForm1| form m e))) + (setq a (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) (eq (qrest tmp2) nil)))))) + (when (setq tmp3 (|comp| a |$EmptyMode| env)) + (setq env (third tmp3)) + (|compForm1| form mode env))) (t (setq u (dolist (x argl) - (setq tmp3 (or (|comp| x |$EmptyMode| e) (return '|failed|))) - (setq e (third tmp3)) + (setq tmp3 (or (|comp| x |$EmptyMode| env) (return '|failed|))) + (setq env (third tmp3)) tmp3)) (unless (eq u '|failed|) - (|compForm1| form m e)))))) + (|compForm1| form mode env)))))) \end{chunk} \defun{compWithMappingMode}{compWithMappingMode} \calls{compWithMappingMode}{compWithMappingMode1} \usesdollar{compWithMappingMode}{formalArgList} \begin{chunk}{defun compWithMappingMode} -(defun |compWithMappingMode| (x m oldE) +(defun |compWithMappingMode| (form mode oldE) (declare (special |$formalArgList|)) - (|compWithMappingMode1| x m oldE |$formalArgList|)) + (|compWithMappingMode1| form mode oldE |$formalArgList|)) \end{chunk} \defun{compWithMappingMode1}{compWithMappingMode1} -\begin{verbatim} -;compWithMappingMode1(x,m is ["Mapping",m',:sl],oldE,$formalArgList) == -; $killOptimizeIfTrue: local:= true -; e:= oldE -; isFunctor x => -; if get(x,"modemap",$CategoryFrame) is [[[.,target,:argModeList],.],:.] and -; (and/[extendsCategoryForm("$",s,mode) for mode in argModeList for s in sl] -; ) and extendsCategoryForm("$",target,m') then return [x,m,e] -; if STRINGP x then x:= INTERN x -; ress:=nil -; old_style:=true -; if x is ["+->",vl,nx] then -; old_style:=false -; vl is [":",:.] => -; ress:=compLambda(x,m,oldE) -; ress -; vl:= -; vl is ["Tuple",:vl1] => vl1 -; vl -; vl:= -; SYMBOLP(vl) => [vl] -; LISTP(vl) and (and/[SYMBOLP(v) for v in vl]) => vl -; stackAndThrow ["bad +-> arguments:",vl] -; $formatArgList:=[:vl,:$formalArgList] -; x:=nx -; else -; vl:=take(#sl,$FormalMapVariableList) -; ress => ress -; for m in sl for v in vl repeat -; [.,.,e]:= compMakeDeclaration([":",v,m],$EmptyMode,e) -; old_style and not null vl and not hasFormalMapVariable(x, vl) => return -; [u,.,.] := comp([x,:vl],m',e) or return nil -; extractCodeAndConstructTriple(u, m, oldE) -; null vl and (t := comp([x], m', e)) => return -; [u,.,.] := t -; extractCodeAndConstructTriple(u, m, oldE) -; [u,.,.]:= comp(x,m',e) or return nil -; uu:=optimizeFunctionDef [nil,['LAMBDA,vl,u]] -; -- At this point, we have a function that we would like to pass. -; -- Unfortunately, it makes various free variable references outside -; -- itself. So we build a mini-vector that contains them all, and -; -- pass this as the environment to our inner function. -; $FUNNAME :local := nil -; $FUNNAME__TAIL :local := [nil] -; expandedFunction:=COMP_-TRAN CADR uu -; frees:=freelist(expandedFunction,vl,nil,e) -; where freelist(u,bound,free,e) == -; atom u => -; not IDENTP u => free -; MEMQ(u,bound) => free -; v:=ASSQ(u,free) => -; RPLACD(v,1+CDR v) -; free -; not getmode(u, e) => free -; [[u,:1],:free] -; op:=CAR u -; MEMQ(op, '(QUOTE GO function)) => free -; EQ(op,'LAMBDA) => -; bound:=UNIONQ(bound,CADR u) -; for v in CDDR u repeat -; free:=freelist(v,bound,free,e) -; free -; EQ(op,'PROG) => -; bound:=UNIONQ(bound,CADR u) -; for v in CDDR u | NOT ATOM v repeat -; free:=freelist(v,bound,free,e) -; free -; EQ(op,'SEQ) => -; for v in CDR u | NOT ATOM v repeat -; free:=freelist(v,bound,free,e) -; free -; EQ(op,'COND) => -; for v in CDR u repeat -; for vv in v repeat -; free:=freelist(vv,bound,free,e) -; free -; if ATOM op then u:=CDR u --Atomic functions aren't descended -; for v in u repeat -; free:=freelist(v,bound,free,e) -; free -; expandedFunction := -; --One free can go by itself, more than one needs a vector -; --An A-list name . number of times used -; #frees = 0 => ['LAMBDA,[:vl,"$$"], :CDDR expandedFunction] -; #frees = 1 => -; vec:=first first frees -; ['LAMBDA,[:vl,vec], :CDDR expandedFunction] -; scode:=nil -; vec:=nil -; locals:=nil -; i:=-1 -; for v in frees repeat -; i:=i+1 -; vec:=[first v,:vec] -; scode:=[['SETQ,first v,[($QuickCode => 'QREFELT;'ELT),"$$",i]],:scode] -; locals:=[first v,:locals] -; body:=CDDR expandedFunction -; if locals then -; if body is [['DECLARE,:.],:.] then -; body:=[CAR body,['PROG,locals,:scode,['RETURN,['PROGN,:CDR body]]]] -; else body:=[['PROG,locals,:scode,['RETURN,['PROGN,:body]]]] -; vec:=['VECTOR,:NREVERSE vec] -; ['LAMBDA,[:vl,"$$"],:body] -; fname:=['CLOSEDFN,expandedFunction] -; --Like QUOTE, but gets compiled -; uu:= -; frees => ['CONS,fname,vec] -; ['LIST,fname] -; [uu,m,oldE] -\end{verbatim} \calls{compWithMappingMode1}{isFunctor} \calls{compWithMappingMode1}{get} \calls{compWithMappingMode1}{qcar} @@ -14491,7 +24394,7 @@ \usesdollar{compWithMappingMode1}{CategoryFrame} \usesdollar{compWithMappingMode1}{formatArgList} \begin{chunk}{defun compWithMappingMode1} -(defun |compWithMappingMode1| (x m oldE |$formalArgList|) +(defun |compWithMappingMode1| (form mode oldE |$formalArgList|) (declare (special |$formalArgList|)) (prog (|$killOptimizeIfTrue| $funname $funnameTail mprime sl tmp1 tmp2 tmp3 tmp4 tmp5 tmp6 target argModeList nx oldstyle ress vl1 vl e tt @@ -14502,78 +24405,78 @@ (return (seq (progn - (setq mprime (second m)) - (setq sl (cddr m)) + (setq mprime (second mode)) + (setq sl (cddr mode)) (setq |$killOptimizeIfTrue| t) (setq e oldE) (cond - ((|isFunctor| x) + ((|isFunctor| form) (cond ((and (progn - (setq tmp1 (|get| x '|modemap| |$CategoryFrame|)) - (and (pairp tmp1) + (setq tmp1 (|get| form '|modemap| |$CategoryFrame|)) + (and (consp tmp1) (progn - (setq tmp2 (qcar tmp1)) - (and (pairp tmp2) + (setq tmp2 (qfirst tmp1)) + (and (consp tmp2) (progn - (setq tmp3 (qcar tmp2)) - (and (pairp tmp3) + (setq tmp3 (qfirst tmp2)) + (and (consp tmp3) (progn - (setq tmp4 (qcdr tmp3)) - (and (pairp tmp4) + (setq tmp4 (qrest tmp3)) + (and (consp tmp4) (progn - (setq target (qcar tmp4)) - (setq argModeList (qcdr tmp4)) + (setq target (qfirst tmp4)) + (setq argModeList (qrest tmp4)) t))))) (progn - (setq tmp5 (qcdr tmp2)) - (and (pairp tmp5) (eq (qcdr tmp5) nil))))))) + (setq tmp5 (qrest tmp2)) + (and (consp tmp5) (eq (qrest tmp5) nil))))))) (prog (t1) (setq t1 t) (return (do ((t2 nil (null t1)) (t3 argModeList (cdr t3)) - (mode nil) + (newmode nil) (t4 sl (cdr t4)) (s nil)) ((or t2 (atom t3) - (progn (setq mode (car t3)) nil) + (progn (setq newmode (car t3)) nil) (atom t4) (progn (setq s (car t4)) nil)) t1) (seq (exit (setq t1 - (and t1 (|extendsCategoryForm| '$ s mode)))))))) + (and t1 (|extendsCategoryForm| '$ s newmode)))))))) (|extendsCategoryForm| '$ target mprime)) - (return (list x m e ))) + (return (list form mode e ))) (t nil))) (t - (when (stringp x) (setq x (intern x))) + (when (stringp form) (setq form (intern form))) (setq ress nil) (setq oldstyle t) (cond - ((and (pairp x) - (eq (qcar x) '+->) + ((and (consp form) + (eq (qfirst form) '+->) (progn - (setq tmp1 (qcdr x)) - (and (pairp tmp1) + (setq tmp1 (qrest form)) + (and (consp tmp1) (progn - (setq vl (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) - (progn (setq nx (qcar tmp2)) t)))))) + (setq vl (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) + (progn (setq nx (qfirst tmp2)) t)))))) (setq oldstyle nil) (cond - ((and (pairp vl) (eq (qcar vl) '|:|)) - (setq ress (|compLambda| x m oldE)) + ((and (consp vl) (eq (qfirst vl) '|:|)) + (setq ress (|compLambda| form mode oldE)) ress) (t (setq vl (cond - ((and (pairp vl) - (eq (qcar vl) '|@Tuple|) - (progn (setq vl1 (qcdr vl)) t)) + ((and (consp vl) + (eq (qfirst vl) '|@Tuple|) + (progn (setq vl1 (qrest vl)) t)) vl1) (t vl))) (setq vl @@ -14595,7 +24498,7 @@ (t (|stackAndThrow| (cons '|bad +-> arguments:| (list vl )))))) (setq |$formatArgList| (append vl |$formalArgList|)) - (setq x nx)))) + (setq form nx)))) (t (setq vl (take (|#| sl) |$FormalMapVariableList|)))) (cond @@ -14615,19 +24518,19 @@ (cond ((and oldstyle (null (null vl)) - (null (|hasFormalMapVariable| x vl))) + (null (|hasFormalMapVariable| form vl))) (return (progn - (setq tmp6 (or (|comp| (cons x vl) mprime e) (return nil))) + (setq tmp6 (or (|comp| (cons form vl) mprime e) (return nil))) (setq u (car tmp6)) - (|extractCodeAndConstructTriple| u m oldE)))) - ((and (null vl) (setq tt (|comp| (cons x nil) mprime e))) + (|extractCodeAndConstructTriple| u mode oldE)))) + ((and (null vl) (setq tt (|comp| (cons form nil) mprime e))) (return (progn (setq u (car tt)) - (|extractCodeAndConstructTriple| u m oldE)))) + (|extractCodeAndConstructTriple| u mode oldE)))) (t - (setq tmp6 (or (|comp| x mprime e) (return nil))) + (setq tmp6 (or (|comp| form mprime e) (return nil))) (setq u (car tmp6)) (setq uu (|optimizeFunctionDef| `(nil (lambda ,vl ,u)))) ; -- At this point, we have a function that we would like to pass. @@ -14676,11 +24579,11 @@ (cond (locals (cond - ((and (pairp body) + ((and (consp body) (progn - (setq tmp1 (qcar body)) - (and (pairp tmp1) - (eq (qcar tmp1) 'declare)))) + (setq tmp1 (qfirst body)) + (and (consp tmp1) + (eq (qfirst tmp1) 'declare)))) (setq body (cons (car body) (cons @@ -14715,38 +24618,38 @@ (cond (frees (list 'cons fname vec)) (t (list 'list fname)))) - (list uu m oldE)))))))))))) + (list uu mode oldE)))))))))))) \end{chunk} \defun{extractCodeAndConstructTriple}{extractCodeAndConstructTriple} \begin{chunk}{defun extractCodeAndConstructTriple} -(defun |extractCodeAndConstructTriple| (u m oldE) +(defun |extractCodeAndConstructTriple| (form mode oldE) (let (tmp1 a fn op env) (cond - ((and (pairp u) (eq (qcar u) '|call|) + ((and (consp form) (eq (qfirst form) '|call|) (progn - (setq tmp1 (qcdr u)) - (and (pairp tmp1) - (progn (setq fn (qcar tmp1)) t)))) + (setq tmp1 (qrest form)) + (and (consp tmp1) + (progn (setq fn (qfirst tmp1)) t)))) (cond - ((and (pairp fn) (eq (qcar fn) '|applyFun|) + ((and (consp fn) (eq (qfirst fn) '|applyFun|) (progn - (setq tmp1 (qcdr fn)) - (and (pairp tmp1) (eq (qcdr tmp1) nil) - (progn (setq a (qcar tmp1)) t)))) + (setq tmp1 (qrest fn)) + (and (consp tmp1) (eq (qrest tmp1) nil) + (progn (setq a (qfirst tmp1)) t)))) (setq fn a))) - (list fn m oldE)) + (list fn mode oldE)) (t - (setq op (car u)) - (setq env (car (reverse (cdr u)))) - (list (list 'cons (list '|function| op) env) m oldE))))) + (setq op (car form)) + (setq env (car (reverse (cdr form)))) + (list (list 'cons (list '|function| op) env) mode oldE))))) \end{chunk} \defun{hasFormalMapVariable}{hasFormalMapVariable} \seebook{hasFormalMapVariable}{ScanOrPairVec}{5} -\usesdollar{hasFormalMapVariable}{formalMapVariables} +\defsdollar{hasFormalMapVariable}{formalMapVariables} \begin{chunk}{defun hasFormalMapVariable} (defun |hasFormalMapVariable| (x vl) (let (|$formalMapVariables|) @@ -14761,17 +24664,17 @@ (defun |argsToSig| (args) (let (tmp1 v tmp2 tt sig1 arg1 bad) (cond - ((and (pairp args) (eq (qcar args) '|:|) + ((and (consp args) (eq (qfirst args) '|:|) (progn - (setq tmp1 (qcdr args)) - (and (pairp tmp1) + (setq tmp1 (qrest args)) + (and (consp tmp1) (progn - (setq v (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) - (eq (qcdr tmp2) nil) + (setq v (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) + (eq (qrest tmp2) nil) (progn - (setq tt (qcar tmp2)) + (setq tt (qfirst tmp2)) t)))))) (list (list v) (list tt))) (t @@ -14780,16 +24683,16 @@ (setq bad nil) (dolist (arg args) (cond - ((and (pairp arg) (eq (qcar arg) '|:|) + ((and (consp arg) (eq (qfirst arg) '|:|) (progn - (setq tmp1 (qcdr arg)) - (and (pairp tmp1) + (setq tmp1 (qrest arg)) + (and (consp tmp1) (progn - (setq v (qcar tmp1)) - (setq tmp2 (qcdr tmp1)) - (and (pairp tmp2) (eq (qcdr tmp2) nil) + (setq v (qfirst tmp1)) + (setq tmp2 (qrest tmp1)) + (and (consp tmp2) (eq (qrest tmp2) nil) (progn - (setq tt (qcar tmp2)) + (setq tt (qfirst tmp2)) t)))))) (setq sig1 (cons tt sig1)) (setq arg1 (cons v arg1))) @@ -14804,11 +24707,11 @@ \calls{compMakeDeclaration}{compColon} \usesdollar{compMakeDeclaration}{insideExpressionIfTrue} \begin{chunk}{defun compMakeDeclaration} -(defun |compMakeDeclaration| (x m e) +(defun |compMakeDeclaration| (form mode env) (let (|$insideExpressionIfTrue|) (declare (special |$insideExpressionIfTrue|)) (setq |$insideExpressionIfTrue| nil) - (|compColon| x m e))) + (|compColon| form mode env))) \end{chunk} @@ -14820,17 +24723,17 @@ \usesdollar{modifyModeStack}{reportExitModeStack} \usesdollar{modifyModeStack}{exitModeStack} \begin{chunk}{defun modifyModeStack} -(defun |modifyModeStack| (|m| |index|) +(defun |modifyModeStack| (m index) (declare (special |$exitModeStack| |$reportExitModeStack|)) (if |$reportExitModeStack| (say "exitModeStack: " (copy |$exitModeStack|) " ====> " (progn - (setelt |$exitModeStack| |index| - (|resolve| |m| (elt |$exitModeStack| |index|))) + (setelt |$exitModeStack| index + (|resolve| m (elt |$exitModeStack| index))) |$exitModeStack|)) - (setelt |$exitModeStack| |index| - (|resolve| |m| (elt |$exitModeStack| |index|))))) + (setelt |$exitModeStack| index + (|resolve| m (elt |$exitModeStack| index))))) \end{chunk} @@ -14978,6 +24881,7 @@ (let* ((bfile (make-pathname :type *lisp-bin-filetype* :defaults lfile)) (bdate (and (probe-file bfile) (file-write-date bfile))) (ldate (and (probe-file lfile) (file-write-date lfile)))) + (declare (special *lisp-bin-filetype*)) (unless (and ldate bdate (> bdate ldate)) (compile-lib-file lfile) (list bfile)))) @@ -15037,6 +24941,227 @@ \end{chunk} +\chapter{Level 1} + +\defvar{current-fragment} +A string containing remaining chars from readline; needed because +Symbolics read-line returns embedded newlines in a c-m-Y. +\begin{chunk}{initvars} +(defvar current-fragment nil) + +\end{chunk} + +\defun{read-a-line}{read-a-line} +\calls{read-a-line}{subseq} +\calls{read-a-line}{Line-New-Line} +\calls{read-a-line}{read-a-line} +\uses{read-a-line}{*eof*} +\uses{read-a-line}{File-Closed} +\begin{chunk}{defun read-a-line} +(defun read-a-line (&optional (stream t)) + (let (cp) + (declare (special *eof* File-Closed)) + (if (and Current-Fragment (> (length Current-Fragment) 0)) + (let ((line (with-input-from-string + (s Current-Fragment :index cp :start 0) + (read-line s nil nil)))) + (setq Current-Fragment (subseq Current-Fragment cp)) + line) + (prog nil + (when (stream-eof in-stream) + (setq File-Closed t) + (setq *eof* t) + (Line-New-Line (make-string 0) Current-Line) + (return nil)) + (when (setq Current-Fragment (read-line stream)) + (return (read-a-line stream))))))) + +\end{chunk} + + +\chapter{Level 0} +\section{Line Handling} + +\subsection{Line Buffer} +The philosophy of lines is that +\begin{itemize} +\item NEXT LINE will always return a non-blank line or fail. +\item Every line is terminated by a blank character. +\end{itemize} +Hence there is always a current character, because there is never a +non-blank line, and there is always a separator character between tokens +on separate lines. Also, when a line is read, the character pointer is +always positioned ON the first character. +\defstruct{line} +\begin{chunk}{initvars} +(defstruct line "Line of input file to parse." + (buffer (make-string 0) :type string) + (current-char #\Return :type character) + (current-index 1 :type fixnum) + (last-index 0 :type fixnum) + (number 0 :type fixnum)) + +\end{chunk} + +\defvar{current-line} +The current input line. +\begin{chunk}{initvars} +(defvar current-line (make-line)) + +\end{chunk} + + +\defmacro{line-clear} +\usesstruct{line-clear}{line} +\begin{chunk}{defmacro line-clear} +(defmacro line-clear (line) + `(let ((l ,line)) + (setf (line-buffer l) (make-string 0)) + (setf (line-current-char l) #\return) + (setf (line-current-index l) 1) + (setf (line-last-index l) 0) + (setf (line-number l) 0))) + +\end{chunk} + +\defun{line-print}{line-print} +\usesstruct{line-print}{line} +\refsdollar{line-print}{out-stream} +\begin{chunk}{defun line-print} +(defun line-print (line) + (declare (special out-stream)) + (format out-stream "~&~5D> ~A~%" (Line-Number line) (Line-Buffer Line)) + (format out-stream "~v@T^~%" (+ 7 (Line-Current-Index line)))) + +\end{chunk} + +\defun{line-at-end-p}{line-at-end-p} +\usesstruct{line-at-end-p}{line} +\begin{chunk}{defun line-at-end-p} +(defun line-at-end-p (line) + "Tests if line is empty or positioned past the last character." + (>= (line-current-index line) (line-last-index line))) + +\end{chunk} + +\defun{line-past-end-p}{line-past-end-p} +\usesstruct{line-past-end-p}{line} +\begin{chunk}{defun line-past-end-p} +(defun line-past-end-p (line) + "Tests if line is empty or positioned past the last character." + (> (line-current-index line) (line-last-index line))) + +\end{chunk} + +\defun{line-next-char}{line-next-char} +\usesstruct{line-next-char}{line} +\begin{chunk}{defun line-next-char} +(defun line-next-char (line) + (elt (line-buffer line) (1+ (line-current-index line)))) + +\end{chunk} + +\defun{line-advance-char}{line-advance-char} +\usesstruct{line-advance-char}{line} +\begin{chunk}{defun line-advance-char} +(defun line-advance-char (line) + (setf (line-current-char line) + (elt (line-buffer line) (incf (line-current-index line))))) + +\end{chunk} + +\defun{line-current-segment}{line-current-segment} +\usesstruct{line-print}{line} +\begin{chunk}{defun line-current-segment} +(defun line-current-segment (line) + "Buffer from current index to last index." + (if (line-at-end-p line) + (make-string 0) + (subseq (line-buffer line) + (line-current-index line) + (line-last-index line)))) + +\end{chunk} + +\defun{line-new-line}{line-new-line} +\usesstruct{line-new-line}{line} +\begin{chunk}{defun line-new-line} +(defun line-new-line (string line &optional (linenum nil)) + "Sets string to be the next line stored in line." + (setf (line-last-index line) (1- (length string))) + (setf (line-current-index line) 0) + (setf (line-current-char line) + (or (and (> (length string) 0) (elt string 0)) #\Return)) + (setf (line-buffer line) string) + (setf (line-number line) (or linenum (1+ (line-number line))))) + +\end{chunk} + +\defun{next-line}{next-line} +\refsdollar{next-line}{in-stream} +\refsdollar{next-line}{line-handler} +\begin{chunk}{defun next-line} +(defun next-line (&optional (in-stream t)) + (declare (special in-stream line-handler)) + (funcall Line-Handler in-stream)) + +\end{chunk} + +\defun{Advance-Char}{Advance-Char} +\calls{Advance-Char}{Line-At-End-P} +\calls{Advance-Char}{Line-Advance-Char} +\calls{Advance-Char}{next-line} +\calls{Advance-Char}{current-char} +\refsdollar{Advance-Char}{in-stream} +\usesstruct{Advance-Char}{line} +\begin{chunk}{defun Advance-Char} +(defun Advance-Char () + "Advances IN-STREAM, invoking Next Line if necessary." + (declare (special in-stream)) + (loop + (cond + ((not (Line-At-End-P Current-Line)) + (return (Line-Advance-Char Current-Line))) + ((next-line in-stream) + (return (current-char))) + ((return nil))))) + +\end{chunk} + +\defun{storeblanks}{storeblanks} +\begin{chunk}{defun storeblanks} +(defun storeblanks (line n) + (do ((i 0 (1+ i))) + ((= i n) line) + (setf (char line i) #\ ))) + +\end{chunk} + +\defun{initial-substring}{initial-substring} +\calls{initial-substring}{mismatch} +\begin{chunk}{defun initial-substring} +(defun initial-substring (pattern line) + (let ((ind (mismatch pattern line))) + (or (null ind) (eql ind (size pattern))))) + +\end{chunk} + +\defun{get-a-line}{get-a-line} +\calls{get-a-line}{is-console} +\seebook{get-a-line}{mkprompt}{5} +\calls{get-a-line}{read-a-line} +\begin{chunk}{defun get-a-line} +(defun get-a-line (stream) + (when (is-console stream) (princ (mkprompt))) + (let ((ll (read-a-line stream))) + (if (and (stringp ll) (adjustable-array-p ll)) + (make-array (array-dimensions ll) :element-type 'string-char + :adjustable t :initial-contents ll) + ll))) + +\end{chunk} + +\chapter{The Chunks} \begin{chunk}{Compiler} (in-package "BOOT") @@ -15060,35 +25185,123 @@ \getchunk{defmacro star} \getchunk{defun action} +\getchunk{defun addArgumentConditions} \getchunk{defun addclose} +\getchunk{defun addConstructorModemaps} +\getchunk{defun addDomain} +\getchunk{defun addEltModemap} +\getchunk{defun addEmptyCapsuleIfNecessary} +\getchunk{defun addModemapKnown} +\getchunk{defun addModemap} +\getchunk{defun addModemap0} +\getchunk{defun addModemap1} +\getchunk{defun addNewDomain} \getchunk{defun add-parens-and-semis-to-line} +\getchunk{defun addSuffix} \getchunk{defun Advance-Char} \getchunk{defun advance-token} +\getchunk{defun alistSize} +\getchunk{defun allLASSOCs} \getchunk{defun aplTran} \getchunk{defun aplTran1} \getchunk{defun aplTranList} +\getchunk{defun applyMapping} \getchunk{defun argsToSig} +\getchunk{defun assignError} +\getchunk{defun AssocBarGensym} +\getchunk{defun augLisplibModemapsFromCategory} +\getchunk{defun augmentLisplibModemapsFromFunctor} +\getchunk{defun augModemapsFromCategory} +\getchunk{defun augModemapsFromCategoryRep} +\getchunk{defun augModemapsFromDomain} +\getchunk{defun augModemapsFromDomain1} +\getchunk{defun autoCoerceByModemap} \getchunk{defun blankp} +\getchunk{defun bootStrapError} \getchunk{defun bumperrorcount} +\getchunk{defun canReturn} \getchunk{defun char-eq} \getchunk{defun char-ne} +\getchunk{defun checkAddBackSlashes} +\getchunk{defun checkAddMacros} +\getchunk{defun checkAddPeriod} +\getchunk{defun checkAddSpaceSegments} +\getchunk{defun checkAlphabetic} +\getchunk{defun checkAndDeclare} +\getchunk{defun checkArguments} +\getchunk{defun checkBalance} +\getchunk{defun checkBeginEnd} +\getchunk{defun checkComments} +\getchunk{defun checkDecorate} +\getchunk{defun checkDecorateForHt} +\getchunk{defun checkDocError} +\getchunk{defun checkDocError1} +\getchunk{defun checkDocMessage} +\getchunk{defun checkExtract} +\getchunk{defun checkFixCommonProblem} +\getchunk{defun checkGetArgs} +\getchunk{defun checkGetMargin} +\getchunk{defun checkGetParse} +\getchunk{defun checkHTargs} +\getchunk{defun checkIeEg} +\getchunk{defun checkIeEgfun} +\getchunk{defun checkIndentedLines} +\getchunk{defun checkLookForLeftBrace} +\getchunk{defun checkLookForRightBrace} +\getchunk{defun checkNumOfArgs} +\getchunk{defun checkTexht} +\getchunk{defun checkRecordHash} +\getchunk{defun checkRemoveComments} +\getchunk{defun checkRewrite} +\getchunk{defun checkSayBracket} +\getchunk{defun checkSkipBlanks} +\getchunk{defun checkSkipIdentifierToken} +\getchunk{defun checkSkipOpToken} +\getchunk{defun checkSkipToken} +\getchunk{defun checkAddSpaces} +\getchunk{defun checkSplitBackslash} +\getchunk{defun checkSplitBrace} +\getchunk{defun checkSplitOn} +\getchunk{defun checkSplitPunctuation} +\getchunk{defun checkSplit2Words} +\getchunk{defun checkTransformFirsts} +\getchunk{defun checkTrim} +\getchunk{defun checkTrimCommented} \getchunk{defun checkWarning} +\getchunk{defun coerce} +\getchunk{defun coerceable} +\getchunk{defun coerceByModemap} +\getchunk{defun coerceEasy} +\getchunk{defun coerceExit} +\getchunk{defun coerceExtraHard} +\getchunk{defun coerceHard} +\getchunk{defun coerceSubset} +\getchunk{defun collectAndDeleteAssoc} +\getchunk{defun collectComBlock} \getchunk{defun comma2Tuple} \getchunk{defun comp} \getchunk{defun comp2} \getchunk{defun comp3} \getchunk{defun compAdd} +\getchunk{defun compApplication} +\getchunk{defun compApply} +\getchunk{defun compApplyModemap} +\getchunk{defun compArgumentConditions} \getchunk{defun compArgumentsAndTryAgain} \getchunk{defun compAtom} +\getchunk{defun compAtomWithModemap} \getchunk{defun compAtSign} +\getchunk{defun compBoolean} \getchunk{defun compCapsule} \getchunk{defun compCapsuleInner} +\getchunk{defun compCapsuleItems} \getchunk{defun compCase} \getchunk{defun compCase1} \getchunk{defun compCat} \getchunk{defun compCategory} +\getchunk{defun compCategoryItem} \getchunk{defun compCoerce} \getchunk{defun compCoerce1} \getchunk{defun compColon} @@ -15099,28 +25312,59 @@ \getchunk{defun compConstructorCategory} \getchunk{defun compDefine} \getchunk{defun compDefine1} +\getchunk{defun compDefineAddSignature} +\getchunk{defun compDefineCapsuleFunction} +\getchunk{defun compDefineCategory} +\getchunk{defun compDefineCategory1} +\getchunk{defun compDefineCategory2} +\getchunk{defun compDefineFunctor} +\getchunk{defun compDefineFunctor1} +\getchunk{defun compDefineLisplib} +\getchunk{defun compDefWhereClause} \getchunk{defun compElt} \getchunk{defun compExit} \getchunk{defun compExpression} +\getchunk{defun compExpressionList} \getchunk{defun compForm} \getchunk{defun compForm1} \getchunk{defun compForm2} +\getchunk{defun compForm3} +\getchunk{defun compFormMatch} +\getchunk{defun compForMode} +\getchunk{defun compFormPartiallyBottomUp} +\getchunk{defun compFormWithModemap} +\getchunk{defun compFromIf} +\getchunk{defun compFunctorBody} \getchunk{defun compHas} +\getchunk{defun compHasFormat} \getchunk{defun compIf} +\getchunk{defun compile} +\getchunk{defun compileCases} +\getchunk{defun compileConstructor} +\getchunk{defun compileConstructor1} +\getchunk{defun compileDocumentation} \getchunk{defun compileFileQuietly} \getchunk{defun compile-lib-file} \getchunk{defun compiler} \getchunk{defun compilerDoit} +\getchunk{defun compilerDoitWithScreenedLisplib} \getchunk{defun compileSpad2Cmd} \getchunk{defun compileSpadLispCmd} +\getchunk{defun compileTimeBindingOf} \getchunk{defun compImport} +\getchunk{defun compInternalFunction} \getchunk{defun compIs} \getchunk{defun compJoin} \getchunk{defun compLambda} \getchunk{defun compLeave} \getchunk{defun compList} \getchunk{defun compMacro} +\getchunk{defun compMakeCategoryObject} \getchunk{defun compMakeDeclaration} +\getchunk{defun compMapCond} +\getchunk{defun compMapCond'} +\getchunk{defun compMapCond''} +\getchunk{defun compMapCondFun} \getchunk{defun compNoStacking} \getchunk{defun compNoStacking1} \getchunk{defun compOrCroak} @@ -15135,24 +25379,29 @@ \getchunk{defun compSeq} \getchunk{defun compSeqItem} \getchunk{defun compSeq1} -\getchunk{defun setqSetelt} -\getchunk{defun setqSingle} \getchunk{defun compSetq} \getchunk{defun compSetq1} +\getchunk{defun compSingleCapsuleItem} \getchunk{defun compString} \getchunk{defun compSubDomain} \getchunk{defun compSubDomain1} \getchunk{defun compSymbol} \getchunk{defun compSubsetCategory} \getchunk{defun compSuchthat} +\getchunk{defun compToApply} \getchunk{defun compTopLevel} +\getchunk{defun compTuple2Record} \getchunk{defun compTypeOf} +\getchunk{defun compUniquely} \getchunk{defun compVector} \getchunk{defun compWhere} \getchunk{defun compWithMappingMode} \getchunk{defun compWithMappingMode1} +\getchunk{defun constructMacro} \getchunk{defun containsBang} \getchunk{defun convert} +\getchunk{defun convertOpAlist2compilerInfo} +\getchunk{defun convertOrCroak} \getchunk{defun current-char} \getchunk{defun current-symbol} \getchunk{defun current-token} @@ -15161,37 +25410,100 @@ \getchunk{defun deepestExpression} \getchunk{defun def-rename} \getchunk{defun def-rename1} +\getchunk{defun disallowNilAttribute} +\getchunk{defun displayMissingFunctions} \getchunk{defun displayPreCompilationErrors} +\getchunk{defun doIt} +\getchunk{defun doItIf} \getchunk{defun dollarTran} +\getchunk{defun domainMember} \getchunk{defun drop} +\getchunk{defun eltModemapFilter} +\getchunk{defun encodeItem} +\getchunk{defun encodeFunctionName} +\getchunk{defun EqualBarGensym} \getchunk{defun errhuh} \getchunk{defun escape-keywords} \getchunk{defun escaped} +\getchunk{defun evalAndRwriteLispForm} +\getchunk{defun evalAndSub} \getchunk{defun extractCodeAndConstructTriple} +\getchunk{defun flattenSignatureList} +\getchunk{defun finalizeDocumentation} +\getchunk{defun finalizeLisplib} \getchunk{defun fincomblock} +\getchunk{defun firstNonBlankPosition} +\getchunk{defun fixUpPredicate} \getchunk{defun floatexpid} +\getchunk{defun formal2Pattern} \getchunk{defun freelist} \getchunk{defun get-a-line} +\getchunk{defun getAbbreviation} +\getchunk{defun getArgumentMode} +\getchunk{defun getArgumentModeOrMoan} +\getchunk{defun getCaps} +\getchunk{defun getCategoryOpsAndAtts} +\getchunk{defun getConstructorOpsAndAtts} +\getchunk{defun getDomainsInScope} +\getchunk{defun getFormModemaps} +\getchunk{defun getFunctorOpsAndAtts} +\getchunk{defun getInverseEnvironment} +\getchunk{defun getMatchingRightPren} +\getchunk{defun getModemap} +\getchunk{defun getModemapList} +\getchunk{defun getModemapListFromDomain} +\getchunk{defun getOperationAlist} \getchunk{defun getScriptName} +\getchunk{defun getSignature} +\getchunk{defun getSignatureFromMode} +\getchunk{defun getSlotFromCategoryForm} +\getchunk{defun getSlotFromFunctor} +\getchunk{defun getSpecialCaseAssoc} +\getchunk{defun getSuccessEnvironment} +\getchunk{defun getTargetFromRhs} \getchunk{defun get-token} \getchunk{defun getToken} +\getchunk{defun getUnionMode} +\getchunk{defun getUniqueModemap} +\getchunk{defun getUniqueSignature} +\getchunk{defun genDomainOps} +\getchunk{defun genDomainViewList0} +\getchunk{defun genDomainViewList} +\getchunk{defun genDomainView} +\getchunk{defun giveFormalParametersValues} \getchunk{defun hackforis} \getchunk{defun hackforis1} \getchunk{defun hasAplExtension} \getchunk{defun hasFormalMapVariable} +\getchunk{defun hasFullSignature} +\getchunk{defun hasNoVowels} +\getchunk{defun hasSigInTargetCategory} +\getchunk{defun hasType} +\getchunk{defun htcharPosition} \getchunk{defun indent-pos} \getchunk{defun infixtok} \getchunk{defun initialize-preparse} \getchunk{defun initial-substring} \getchunk{defun initial-substring-p} +\getchunk{defun initializeLisplib} +\getchunk{defun insertModemap} +\getchunk{defun interactiveModemapForm} +\getchunk{defun isCategoryPackageName} \getchunk{defun is-console} +\getchunk{defun isDomainConstructorForm} +\getchunk{defun isDomainForm} +\getchunk{defun isDomainSubst} +\getchunk{defun isFunctor} \getchunk{defun isListConstructor} +\getchunk{defun isMacro} +\getchunk{defun isSuperDomain} \getchunk{defun isTokenDelimiter} +\getchunk{defun isUnionMode} \getchunk{defun killColons} @@ -15202,28 +25514,93 @@ \getchunk{defun line-past-end-p} \getchunk{defun line-print} \getchunk{defun line-new-line} - -\getchunk{defun postMakeCons} +\getchunk{defun lispize} +\getchunk{defun lisplibDoRename} +\getchunk{defun lisplibWrite} +\getchunk{defun loadIfNecessary} +\getchunk{defun loadLibIfNecessary} + +\getchunk{defun macroExpand} +\getchunk{defun macroExpandInPlace} +\getchunk{defun macroExpandList} +\getchunk{defun makeCategoryForm} +\getchunk{defun makeCategoryPredicates} +\getchunk{defun makeFunctorArgumentParameters} \getchunk{defun makeSimplePredicateOrNil} -\getchunk{defun make-string-adjustable} \getchunk{defun make-symbol-of} \getchunk{defun match-advance-string} \getchunk{defun match-current-token} \getchunk{defun match-next-token} \getchunk{defun match-string} \getchunk{defun match-token} +\getchunk{defun maxSuperType} +\getchunk{defun mergeModemap} +\getchunk{defun mergeSignatureAndLocalVarAlists} \getchunk{defun meta-syntax-error} +\getchunk{defun mkAbbrev} +\getchunk{defun mkAlistOfExplicitCategoryOps} +\getchunk{defun mkCategoryPackage} +\getchunk{defun mkConstructor} +\getchunk{defun mkDatabasePred} +\getchunk{defun mkEvalableCategoryForm} +\getchunk{defun mkExplicitCategoryFunction} +\getchunk{defun mkList} +\getchunk{defun mkNewModemapList} +\getchunk{defun mkOpVec} +\getchunk{defun mkRepititionAssoc} +\getchunk{defun mkUnion} \getchunk{defun modifyModeStack} +\getchunk{defun modeEqual} +\getchunk{defun modeEqualSubst} +\getchunk{defun modemapPattern} +\getchunk{defun moveORsOutside} +\getchunk{defun mustInstantiate} \getchunk{defun ncINTERPFILE} +\getchunk{defun newWordFrom} \getchunk{defun next-char} \getchunk{defun next-line} \getchunk{defun next-tab-loc} \getchunk{defun next-token} +\getchunk{defun newString2Words} \getchunk{defun new2OldLisp} \getchunk{defun nonblankloc} - +\getchunk{defun NRTassocIndex} +\getchunk{defun NRTgetLocalIndex} +\getchunk{defun NRTgetLookupFunction} +\getchunk{defun NRTputInHead} +\getchunk{defun NRTputInTail} + +\getchunk{defun optCall} +\getchunk{defun optCallEval} +\getchunk{defun optCallSpecially} +\getchunk{defun optCatch} +\getchunk{defun optCond} +\getchunk{defun optCONDtail} +\getchunk{defun optEQ} +\getchunk{defun optIF2COND} +\getchunk{defun optimize} +\getchunk{defun optimizeFunctionDef} \getchunk{defun optional} +\getchunk{defun optLESSP} +\getchunk{defun optMINUS} +\getchunk{defun optMkRecord} +\getchunk{defun optPackageCall} +\getchunk{defun optPredicateIfTrue} +\getchunk{defun optQSMINUS} +\getchunk{defun optRECORDCOPY} +\getchunk{defun optRECORDELT} +\getchunk{defun optSETRECORDELT} +\getchunk{defun optSEQ} +\getchunk{defun optSPADCALL} +\getchunk{defun optSpecialCall} +\getchunk{defun optSuchthat} +\getchunk{defun optXLAMCond} +\getchunk{defun opt-} +\getchunk{defun orderByDependency} +\getchunk{defun orderPredicateItems} +\getchunk{defun orderPredTran} +\getchunk{defun outputComp} \getchunk{defun PARSE-AnyId} \getchunk{defun PARSE-Application} @@ -15362,6 +25739,7 @@ \getchunk{defun postAtSign} \getchunk{defun postBigFloat} \getchunk{defun postBlock} +\getchunk{defun postBlockItem} \getchunk{defun postBlockItemList} \getchunk{defun postCapsule} \getchunk{defun postCategory} @@ -15382,6 +25760,7 @@ \getchunk{defun postInSeq} \getchunk{defun postIteratorList} \getchunk{defun postJoin} +\getchunk{defun postMakeCons} \getchunk{defun postMapping} \getchunk{defun postMDef} \getchunk{defun postOp} @@ -15413,41 +25792,85 @@ \getchunk{defun preparseReadLine1} \getchunk{defun primitiveType} \getchunk{defun print-defun} +\getchunk{defun processFunctor} \getchunk{defun push-reduction} +\getchunk{defun putDomainsInScope} +\getchunk{defun putInLocalDomainReferences} \getchunk{defun quote-if-string} \getchunk{defun read-a-line} \getchunk{defun recompile-lib-file-if-necessary} +\getchunk{defun recordAttributeDocumentation} +\getchunk{defun recordDocumentation} +\getchunk{defun recordHeaderDocumentation} +\getchunk{defun recordSignatureDocumentation} +\getchunk{defun replaceExitEtc} +\getchunk{defun removeBackslashes} +\getchunk{defun removeSuperfluousMapping} +\getchunk{defun replaceVars} +\getchunk{defun resolve} +\getchunk{defun reportOnFunctorCompilation} \getchunk{defun /rf-1} \getchunk{defun /RQ,LIB} +\getchunk{defun rwriteLispForm} \getchunk{defun setDefOp} +\getchunk{defun seteltModemapFilter} +\getchunk{defun setqMultiple} +\getchunk{defun setqMultipleExplicit} +\getchunk{defun setqSetelt} +\getchunk{defun setqSingle} +\getchunk{defun signatureTran} \getchunk{defun skip-blanks} \getchunk{defun skip-ifblock} \getchunk{defun skip-to-endif} \getchunk{defun spad} +\getchunk{defun spadCompileOrSetq} \getchunk{defun spad-fixed-arg} +\getchunk{defun splitEncodedFunctionName} \getchunk{defun stack-clear} \getchunk{defun stack-load} \getchunk{defun stack-pop} \getchunk{defun stack-push} \getchunk{defun storeblanks} +\getchunk{defun stripOffArgumentConditions} +\getchunk{defun stripOffSubdomainConditions} +\getchunk{defun subrname} +\getchunk{defun substituteCategoryArguments} +\getchunk{defun substituteIntoFunctorModemap} +\getchunk{defun substNames} +\getchunk{defun substVars} \getchunk{defun s-process} \getchunk{defun token-install} \getchunk{defun token-lookahead-type} \getchunk{defun token-print} +\getchunk{defun transDoc} +\getchunk{defun transDocList} +\getchunk{defun transformAndRecheckComments} +\getchunk{defun transformOperationAlist} +\getchunk{defun transImplementation} \getchunk{defun transIs} \getchunk{defun transIs1} \getchunk{defun translabel} \getchunk{defun translabel1} +\getchunk{defun TruthP} \getchunk{defun try-get-token} \getchunk{defun tuple2List} +\getchunk{defun uncons} \getchunk{defun underscore} \getchunk{defun unget-tokens} +\getchunk{defun unknownTypeError} +\getchunk{defun unloadOneConstructor} \getchunk{defun unTuple} +\getchunk{defun updateCategoryFrameForCategory} +\getchunk{defun updateCategoryFrameForConstructor} + +\getchunk{defun whoOwns} +\getchunk{defun wrapDomainSub} +\getchunk{defun writeLib1} \getchunk{postvars} diff -Nru axiom-20110301a/books/bookvolbib.pamphlet axiom-20111101/books/bookvolbib.pamphlet --- axiom-20110301a/books/bookvolbib.pamphlet 2011-03-29 05:45:32.000000000 +0000 +++ axiom-20111101/books/bookvolbib.pamphlet 2011-12-01 04:03:12.000000000 +0000 @@ -2,6 +2,7 @@ \usepackage{hyperref} \usepackage{axiom} \usepackage{makeidx} +\setlength{\textwidth}{400pt} \makeindex \usepackage{graphicx} % struggle with latex figure-floating behavior @@ -383,6 +384,10 @@ T. Beneke and W. Schwippert. Double-track into the future: MathCAD will gain new users with Standard and Plus versions. Elektronik, 43(15) pp107-110, July 1994, CODEN EKRKAR ISSN 0013-5658 +\bibitem[Bor00]{Bor00} +Borwein, Jonathan +``Multimedia tools for communicating mathematics'' +Springer-Verlag ISBN 3-540-42450-4 p58 \bibitem[BT94]{BT94} R. Brown and A. Tonks ``Calculations with simplicial and cubical groups in AXIOM'' Journal of Symbolic Computation 17(2) pp159-179 February 1994 @@ -414,6 +419,18 @@ (English: A combinatorial problem in Hamming Graphs and its solution in Scratchpad) Rapports de recherche 1586, Institut National de Recherche en Informatique et en Automatique, Le Chesnay, France, January 1992, 12pp +\bibitem[CCR]{CCR} +Caprotti, Olga, Cohen, Arjeh M., and Riem, Manfred +``Java Phrasebooks for Computer Algebra and Automated Deduction'' +\verb|www.sigsam.org/bulletin/articles/132/paper8.pdf| +\bibitem[CC99]{CC99} +Capriotti, O. and Carlisle, D. +``OpenMath and MathML: Semantic Mark Up for Mathematics'' +\verb|www.acm.org/crossroads/xrds6-2/openmath.html| +\bibitem[CCCS]{CCCS} +Capriotti, Olga, Cohen, Arjeh M., Cuypers, Hans, and Sterk, Hans +``OpenMath Technology for Interactive Mathematical Documents'' +\verb|www.win.tue.nl/~hansc/lisbon.pdf| \bibitem[Chu89]{Chu89} Chudnovsky, D.V. and Chudnovsky, G.V. ``The computation of classical constants'' @@ -423,10 +440,25 @@ ``Computers in Mathematics'' International Conference on Computers and Mathematics July29-Aug1 1986 Marcel Dekker, Inc (1990) ISBN 0-8247-8341-7 +\bibitem[CCBS]{CCBS} +Cohen, Arjeh M., Cuypers, Hans, Barreiro, Ernesto Reinaldo, Sterk, Hans +``Interactive Mathematical Documents on the Web'' +Springer 9783540002576-c1.pdf +\bibitem[CHK]{CHK} +Cuypers, Hans, Hendriks, Maxim, and Knopper, Jan Willem +``Interactive Geometry inside MathDox'' +\verb|www.win.tue.nl/~hansc/MathDox_and_InterGeo_paper.pdf| +\bibitem[DGW]{DGW} +Dalmas, St\'ephane, Gae\"tano, Marc, and Watt, Stephen +``An OpenMath 1.0 Implementation'' +\verb|citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.116.4401.pdf| \bibitem[Dal92]{Dal92} S. Dalmas ``A polymorphic functional language applied to symbolic computation'' In Wang [Wan92] pp369-375 ISBN 0-89791-489-9 (soft cover) 0-89791-490-2 (hard cover) LCCN QA76.95.I59 1992 +\bibitem[Dal88]{Dal88} +Daly, Timothy ``Axiom in an Educational Setting'' +Axiom course slide deck January 1988 \bibitem[Dal02]{Dal02} T. Daly ``Axiom as open source'' SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation) 36(1) pp28-?? March 2002 @@ -441,6 +473,17 @@ Timothy Daly ``Axiom Volume 1: Tutorial'' Lulu, Inc. 860 Aviation Parkway, Suite 300, Morrisville, NC 27560 USA, 2006 ISBN 141166597X 287pp \verb|http://www.lulu.com/content/190827| +\bibitem[Dav79]{Dav79} +Davenport, J.H. SPAD.SCRIPT +VM/370 SPAD.SCRIPTS August 24, 1979 +\bibitem[Dav82]{Dav82} +Davenport, J.H. ``On the Parallel Risch Algorithm (III): Use of Tangents'' +SIGSAM V16 no. 3 pp3-6 August 1982 +\bibitem[Dav85]{Dav85} +Davenport, James H. +``The LISP/VM Foundation of Scratchpad II'' +The Scratchpad II Newsletter, Volume 1, Number 1, September 1, 1985 +IBM Corporation, Yorktown Heights, NY \bibitem[Dav89]{Dav89} J. H. Davenport, editor EUROCAL '87 European Conference on Computer Algebra Proceedings Springer-Verlag, Berlin, Germany / Heidelberg, Germany / London, @@ -456,10 +499,14 @@ Grove, IL, USA and Oxford, UK December 1992 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html| \bibitem[Dav93]{Dav93} -J. H. davenport ``Primality testing revisited'' Technical Report TR2/93 +J. H. Davenport ``Primality testing revisited'' Technical Report TR2/93 (ATR/6)(NP2556) Numerical Algorithms Group, Inc., Downer's Grove, IL, USA and Oxford, UK, August 1993 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html| +\bibitem[Dav00]{Dav00} +Davenport, James +``13th OpenMath Meeting'' +\verb|xml.coverpages.org/openmath13.html| \bibitem[Dav10]{Dav10} Davenport, J. H. ``Computer Algebra'' \hfill\\ \verb|staff.bath.ac.uk/masjhd/JHD-CA.pdf| @@ -470,10 +517,18 @@ C. Dicrescenzo and D. Duval ``Algebraic extensions and algebraic closure in Scratchpad II'' In Gianni [Gia89], pp440-446 ISBN 3-540-51084-2 LCCN QA76.95.I57 1998 Conference held jointly with AAECC-6 +\bibitem[Dev93]{Dev93} +Pinch, R.G.E. ``Some Primality Testing Algorithms'' +Devlin, Keith (ed.) +Computers and Mathematics November 1993, Vol 40, Number 9 pp1203-1210 \bibitem[Dew94]{Dew94} Dewar, M. C. ``Manipulating Fortran Code in AXIOM and the AXIOM-NAG Link'' Proceedings of the Workshop on Symbolic and Numeric Computing, ed by Apiola, H. and Laine, M. and Valkeila, E. pp1-12 University of Helsinki, Finland (1994) +\bibitem[Dew]{Dew} +Dewar, Mike +``OpenMath: An Overview'' +\verb|www.sigsam.org/bulletin/articles/132/paper1.pdf| \bibitem[DGJ84]{DGJ84} J. Davenport, P. Gianni, R. Jenks, V. Miller, S. Morrison, M. Rothstein, C. Sundaresan, R. Sutor and B. Trager ``Scratchpad'' Mathematical Sciences @@ -507,7 +562,7 @@ \bibitem[DST88]{DST88} J. H. Davenport, Y. Siret, and E. Tournier. Computer Algebra: Systems and Algorithms for Algebraic Computation. Academic Press, New York, NY, USA, 1988, -ISBN 0-12-204230-1 +ISBN 0-12-204232-9 \bibitem[DT90]{DT90} J. H. Davenport and B. M. Trager ``Scratchpad's view of algebra I: Basic commutative algebra'' In Miola [Mio90], pp40-54. ISBN 0-387-52531-9 (New York), @@ -532,6 +587,14 @@ Fateman, R. J. ``An incremental approach to building a mathematical \hfill\\ expert out of software'' 4/19/2005\hfill\\ \verb|www.cs.berkeley.edu/~fateman/papers/axiom.pdf| +\bibitem[FD]{FDN00} +Faure, Christ\'ele, Davenport, James +``Parameters in Computer Algebra'' +\bibitem[FDN00]{FDN00} +Faure, Christ\'ele, Davenport, James, Naciri, Hanane +``Multi-values Computer Algebra'' +ISSN 0249-6399 Institut National De Recherche en Informatique et en +Automatique Sept. 2000 No. 4001 \bibitem[Fit84]{Fit84} J. P. Fitch, editor, EUROSAM '84: International Symposium on Symbolic and Algebraic Computation, Cambridge, England, July 9-11, 1984, volume 174 of @@ -543,6 +606,9 @@ International Symposium DISCO '92 Proceedings. Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 1993. ISBN 0-387-57272-4 (New York), 3-540-57272-4 (Berlin). LCCN QA76.9.S88I576 1992 +\bibitem[Fog11]{Fog11} +Fogus, Michael ``UnConj'' +\verb|clojure.com/blog/2011/11/22/unconj.html| \bibitem[For90]{For90} A. Fortenbacher. ``Efficient type inference and coercion in computer algebra'' In Miola [Mio90], pp56-60. ISBN 0-387-52531-9 (New York), 3-540-52531-9 @@ -551,6 +617,9 @@ Francois Fouche. ``Une implantation de l'algorithme de Kovacic en Scratchpad'' Technical report, Institut de Recherche Math{\'{e}}matique Avanc{\'{e}}e'' Strasbourg, France, 1990 31pp +\bibitem[Fris]{Fris} +Frisco ``Objectives and Results'' +\verb|http://www.nag.co.uk/projects/frisco/frisco/node3.htm| \bibitem[GCL92]{GCL92} Geddes, Keith O., Czapor, Stephen R., and Labahn, George ``Algorithms For Computer Algebra'' Kluwer Academic Publishers @@ -579,6 +648,10 @@ the Axiom programming language). In Wang [Wan92], pp138-145. ISBN 0-89791-489-9 (soft cover), 0-89791-490-2 (hard cover) LCCN QA76.95.I59 1992 +\bibitem[Gon96]{Gon96} +Gonnet, Gaston H. +``Official verion 1.0 of the Meta Content Dictionary'' +\verb|www.inf.ethz.ch/personal/gonnet/ContDict/Meta| \bibitem[GJ71]{GJ71} J. H. Griesmer and R. D. Jenks ``SCRATCHPAD/1 -- an interactive facility for symbolic mathematics'' In Petrick [Pet71], pp42-58. LCCN QA76.5.S94 1971 @@ -592,6 +665,10 @@ ACM SIGPLAN Notices, 7(10) pp93-102, 1972. Proceedings of the symposium on Two-dimensional man-machine communications. Mark B. Wells and James B. Morris (eds.). +\bibitem[GJY75]{GJY75} +Griesmer, J.H., Jenks, R.D., Yun, D.Y.Y +``SCRATCHPAD User's Manual'' +IBM Research Publication RA70 June 1975 \bibitem[GKW03]{GKW03} Johannes Grabmeier, Erich Kaltofen, and Volker Weispfenning, editors. Computer algebra handbook: foundations, applications, systems. @@ -626,11 +703,20 @@ Report TR7/92 (ATR/5)(NP2522), Numerical Algorithms Group, Inc., Downer's Grove, IL, USA and Oxford, UK, 1992 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html| +\bibitem[Hec01]{Hec01} +Heck, A. ``Variables in computer algebra, mathematics and science'' +The International Journal of Computer Algebra in Mathematics Education +Vol. 8 No. 3 pp195-210 (2001) \bibitem[HP89]{HP89} L. Huguet and A. Poli, editors. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. 5th International Conference AAECC-5 Proceedings. Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 1989. ISBN 3-540-51082-6. LCCN QA268.A35 1987 +\bibitem[Leb08]{Leb08} +Lebedev, Yuri +``OpenMath Library for Computing on Riemann Surfaces'' +PhD thesis, Nov 2008 Florida State University +\verb|www.math.fsu.edu/~ylebedev/research/HyperbolicGeometry.html| \bibitem[Jan88]{Jan88} R. Jan{\ss}en, editor. Trends in Computer Algebra, International Symposium Bad Neuenahr, May 19-21, 1987, Proceedings, volume 296 of Lecture Notes in @@ -641,6 +727,11 @@ R. D. Jenks ``META/LISP'', Research Report International Business Machines, Inc., Thomas J. Watson Research Center, Yorktown Heights, NY, USA, 1969 +\bibitem[Jen88]{Jen88} +Jenks, R. D. +``A Guide to Programming in BOOT'' +Computer Algebra Group, Mathematical Sciences Department, IBM Research +Draft September 5, 1988 \bibitem[Jen71]{Jen71} R. D. Jenks ``META/PLUS: The syntax extension facility for SCRATCHPAD'', Research Report RC 3259, International Business Machines, Inc., Thomas J. @@ -660,6 +751,9 @@ \bibitem[Jen84b]{Jen84b} Richard D. Jenks ``A primer: 11 keys to New Scratchpad'' In Fitch [Fit84], pp123-147. ISBN 0-387-13350-X LCCN QA155.7.E4 I57 1984 +\bibitem[Jen88]{Jen88} +Jenks, Richard ``The Scratchpad II Computer Algebra System Interactive +Environment Users Guide'' Spring 1988 \bibitem[JT81]{JT81} Jenks, R.D. and Trager, B.M. ``A Language for Computational Algebra'' Proceedings of SYMSAC81, Symposium on Symbolic and Algebraic Manipulation, @@ -701,6 +795,20 @@ \bibitem[JT94]{JT94} R. D. Jenks and B. M. Trager. ``How to make AXIOM into a Scratchpad'' In ACM [ACM94], pp32-40 ISBN 0-89791-638-7 LCCN QA76.95.I59 1994 +\bibitem[JT03]{JT03} +Joswig, Michael and Takayama, Nobuki +``Algebra, geometry, and software systems'' +Springer-Verlag ISBN 3-540-00256-1 p291 +\bibitem[Ken99a]{Ken99a} +Kendall, W.S. +``Itovsn3 in AXIOM: modules, algebras and stochastic differentials'' +\verb|www2.warwick.ac.uk/fac/sci/statistics/staff/academic-research/| +\verb|kendall/personal/ppt/328.ps.gz| +\bibitem[Ken99b]{Ken99b} +Kendall, W.S. +``Symbolic It\^o calculus in AXIOM: an ongoing story +\verb|www2.warwick.ac.uk/fac/sci/statistics/staff/academic-research/| +\verb|kendall/personal/ppt/327.ps.gz| \bibitem[KKM89]{KKM89} K. Kusche, B. Kutzler, and H. Mayr ``Implementation of a geometry theorem proving package in SCRATCHPAD II'' In Davenport [Dav89] pp246-257 @@ -767,6 +875,9 @@ J. Mathews ``Symbolic computational algebra applied to Picard iteration'' Mathematics and computer education, 23(2) pp117-122 Spring 1989 CODEN MCEDDA, ISSN 0730-8639 +\bibitem[McJ11]{McJ11} +McJones, Paul ``Software Presentation Group -- Common Lisp family'' +\verb|www.softwarepreservation.org/projects/LISP/common_lisp_family| \bibitem[Mio90]{Mio90} A. Miola, editor. Design and Implementation of Symbolic Computation Systems, International Symposium DISCO '90, Capri, Italy, April 10-12, 1990, Proceedings @@ -791,6 +902,9 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 1989 ISBN 3-540-51083-4, LCCN QA268.A35 1988 Conference held jointly with ISSAC '88 +\bibitem[Mos71]{Mos71} +Moses, Joel ``Algebraic Simplification: A Guide for the Perplexed'' +CACM August 1971 Vol 14 No. 8 pp527-537 \bibitem[MR90]{MR90} E. Melachrinoudis and D. L. Rumpf ``Teaching advantages of transparent computer software -- MathCAD'' CoED, 10(1) pp71-76, January-March 1990 CODEN CWLJDP @@ -798,6 +912,12 @@ \bibitem[Nor75]{Nor75} A. C. Norman ``Computing with formal power series'' ACM Transactions on Mathematical Software, 1(4) pp346-356 Dec. 1975 CODEN ACMSCU ISSN 0098-3500 +\bibitem[Nor75a]{Nor75a} +Norman, A.C. ``The SCRATCHPAD Power Series Package'' +IBM T.J. Watson Research RC4998 +\bibitem[OpenMa]{OpenMa} +``OpenMath Technical Overview'' +\verb|www.openmath.org/overview/technical.html| \bibitem[Oll89]{Oll89} F. Ollivier ``Inversibility of rational mappings and structural identifiablility in automatics'' In ACM [ACM89], pp43-54 ISBN 0-89791-325-6 @@ -886,6 +1006,10 @@ Robert S. Sutor and Richard Jenks ``The type inference and coercion facilities in the Scratchpad II interpreter'' Research report RC 12595 (\#56575), IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USA, 1987, 11pp +\bibitem[Su87]{Su87} +Sutor, Robert S. ``The Scratchpad II Computer Algebra System. Using and +Programming the Interpreter'' IBM Course presentation slide deck +Spring 1987 \bibitem[Sme92]{Sme92} Trevor J. Smedley ``Using pictorial and object oriented programming for computer algebra'' In Hal Berghel et al., editors. Applied computing -- @@ -943,6 +1067,16 @@ Symbolic and Algebraic Computation, ISSAC'91, July 15-17, 1991, Bonn, Germany, ACM Press, New York, NY 10036, USA, 1991 ISBN 0-89791-437-6 LCCN QA76.95.I59 1991 +\bibitem[Wat94]{Wat94} +Watt, Stephen M., Broadbery, Peter A., Dooley, Samuel S., and Iglio, Pietro +``A First Report on the A\# Compiler (including benchmarks)'' +IBM Research Report RC19529 (85075) May 12, 1994 +\bibitem[Wat94a]{Wat94a} +Watt, Stephen M., et. al. ``A\# User's Guide'' +Version 1.0.0 O($\epsilon{}^1$) June 8, 1994 +\bibitem[Wat95]{Wat95} +Watt, S.M. et al, AXIOM Library Compiler Users Guide +NAG Ltd, 1995 \bibitem[WJST90]{WJST90} S.M. Watt, R.D. Jenks, R.S. Sutor, and B.M. Trager. ``The Scratchpad II type system: Domains and subdomains'' in A.M. Miola, editor Computing Tools @@ -962,9 +1096,16 @@ Shunro Watanabe and Morio Nagata, editors. ISSAC '90 Proceedings of the International Symposium on Symbolic and Algebraic Computation ACM Press, New York, NY, 10036, USA. 1990 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990 +\bibitem[WWW1]{WWW1} +Software Preservation Group +\verb|www.softwarepresentation.org/projects/LISP/common_lisp_family| \bibitem[Yap00]{Yap00} Yap, Chee Keng ``Fundamental Problems of Algorithmic Algebra'' Oxford University Press (2000) ISBN0-19-512516-9 +\bibitem[Yun83]{Yun83} +Yun, David Y.Y. ``Computer Algebra and Complex Analysis'' +Computational Aspects of Complex Analysis pp379-393 +D. Reidel Publishing Company H. Werner et. al. (eds.) \bibitem[Zen92]{Zen92} Ch. Zenger. ``Gr{\"o}bnerbasen f{\"u}r Differentialformen und ihre Implementierung in AXIOM, Diplomarbeit, Universit{\"a}t Karlsruhe, @@ -991,7 +1132,16 @@ Laurent Bertrand. Computing a hyperelliptic integral using arithmetic in the jacobian of the curve. {\sl Applicable Algebra in Engineering, Communication and Computing}, 6:275-298, 1995 -\bibitem[Br98]{Br98} +\bibitem[Bro88]{Bro88} +Bronstein, Manual ``The Transcendental Risch Differential Equation'' +J. Symbolic Computation (1990) 9, pp49-60 Feb 1988 +\bibitem[Bro88a]{Bro88a} +Bronstein, Manual ``The Transcendental Risch Differential Equation'' +IBM Research Report RC13460 IBM Corp. Yorktown Heights, NY +\bibitem[Bro90]{Bro90} +Bronstein, Manuel ``Integration of Elementary Functions'' +J. Symbolic Computation (199) 9, pp117-173 September 1988 +\bibitem[Bro98]{Bro98} Bronstein, Manuel "Symbolic Integration Tutorial" INRIA Sophia Antipolis ISSAC 1998 Rostock \bibitem[Bro90]{Bro90} @@ -1010,6 +1160,9 @@ \bibitem[CS03]{CS03} Conway, John H. and Smith, Derek, A., ``On Quaternions and Octonions'' A.K Peters, Natick, MA. (2003) ISBN 1-56881-134-9 +\bibitem[DA98]{DA98} +Dalmas, Stephane and Arsac, Olivier ``The INRIA OpenMath Library'' +Projet SAFIR, INRIA Sophia Antipolis Nov 25, 1998 \bibitem[Fl01]{Fl01} Fletcher, John P. ``Symbolic processing of Clifford Numbers in C++'', Paper 25, AGACSE 2001. @@ -1138,6 +1291,9 @@ Olver, Frank W., Lozier, Daniel W., Boisvert, Ronald F., Clark, Charles W. (ed) ``NIST Handbook of Mathematical Functions'' (2010) Cambridge University Press ISBN 978-0-521-19225-5 +\bibitem[OpenM]{OpenM} +``OpenMath Technical Overview'' +\verb|www.openmath.org/overview/technical.html| \bibitem[Ost1845]{Ost1845} M.W. Ostrogradsky. De l'int\'{e}gration des fractions rationelles. {\sl Bulletin de la Classe Physico-Math\'{e}matiques de diff -Nru axiom-20110301a/books/Makefile.pamphlet axiom-20111101/books/Makefile.pamphlet --- axiom-20110301a/books/Makefile.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/books/Makefile.pamphlet 2011-12-01 04:03:11.000000000 +0000 @@ -49,7 +49,7 @@ if [ -z "${NOISE}" ] ; then \ ${RM} bookvol5.toc ; \ ${LATEX} bookvol5.tex ; \ - ${MAKEINDEX} bookvol9 >/dev/null ; \ + ${MAKEINDEX} bookvol5.idx >/dev/null ; \ ${LATEX} bookvol5.tex >/dev/null ; \ ${DVIPDFM} bookvol5.dvi 2>/dev/null ; \ ${RM} bookvol5.aux bookvol5.dvi bookvol5.log bookvol5.ps ; \ @@ -59,7 +59,7 @@ ${RM} bookvol5.toc ; \ ${LATEX} bookvol5.tex >${TMP}/trace ; \ echo ...first latex complete ; \ - ${MAKEINDEX} bookvol9 >${TMP}/trace ; \ + ${MAKEINDEX} bookvol5.idx >${TMP}/trace ; \ ${LATEX} bookvol5.tex >${TMP}/trace ; \ ${DVIPDFM} bookvol5.dvi 2>${TMP}/trace ; \ ${RM} bookvol5.aux bookvol5.dvi bookvol5.log bookvol5.ps ; \ @@ -75,7 +75,7 @@ if [ -z "${NOISE}" ] ; then \ ${RM} bookvol6.toc ; \ ${LATEX} bookvol6.tex ; \ - ${MAKEINDEX} bookvol9 >/dev/null ; \ + ${MAKEINDEX} bookvol6.idx >/dev/null ; \ ${LATEX} bookvol6.tex >/dev/null ; \ ${DVIPDFM} bookvol6.dvi 2>/dev/null ; \ ${RM} bookvol6.aux bookvol6.dvi bookvol6.log bookvol6.ps ; \ @@ -85,7 +85,7 @@ ${RM} bookvol6.toc ; \ ${LATEX} bookvol6.tex >${TMP}/trace ; \ echo ...first latex complete ; \ - ${MAKEINDEX} bookvol9 >${TMP}/trace ; \ + ${MAKEINDEX} bookvol6.idx >${TMP}/trace ; \ ${LATEX} bookvol6.tex >${TMP}/trace ; \ ${DVIPDFM} bookvol6.dvi 2>${TMP}/trace ; \ ${RM} bookvol6.aux bookvol6.dvi bookvol6.log bookvol6.ps ; \ @@ -101,7 +101,7 @@ if [ -z "${NOISE}" ] ; then \ ${RM} bookvol7.toc ; \ ${LATEX} bookvol7.tex ; \ - ${MAKEINDEX} bookvol9 >/dev/null ; \ + ${MAKEINDEX} bookvol7.idx >/dev/null ; \ ${LATEX} bookvol7.tex >/dev/null ; \ ${DVIPDFM} bookvol7.dvi 2>/dev/null ; \ ${RM} bookvol7.aux bookvol7.dvi bookvol7.log bookvol7.ps ; \ @@ -111,7 +111,7 @@ ${RM} bookvol7.toc ; \ ${LATEX} bookvol7.tex >${TMP}/trace ; \ echo ...first latex complete ; \ - ${MAKEINDEX} bookvol9 >${TMP}/trace ; \ + ${MAKEINDEX} bookvol7.idx >${TMP}/trace ; \ ${LATEX} bookvol7.tex >${TMP}/trace ; \ ${DVIPDFM} bookvol7.dvi 2>${TMP}/trace ; \ ${RM} bookvol7.aux bookvol7.dvi bookvol7.log bookvol7.ps ; \ @@ -127,7 +127,7 @@ if [ -z "${NOISE}" ] ; then \ ${RM} bookvol9.toc ; \ ${LATEX} bookvol9.tex ; \ - ${MAKEINDEX} bookvol9 >/dev/null ; \ + ${MAKEINDEX} bookvol9.idx >/dev/null ; \ ${LATEX} bookvol9.tex >/dev/null ; \ ${DVIPDFM} bookvol9.dvi 2>/dev/null ; \ ${RM} bookvol9.aux bookvol9.dvi bookvol9.log bookvol9.ps ; \ @@ -137,7 +137,7 @@ ${RM} bookvol9.toc ; \ ${LATEX} bookvol9.tex >${TMP}/trace ; \ echo ...first latex complete ; \ - ${MAKEINDEX} bookvol9 >${TMP}/trace ; \ + ${MAKEINDEX} bookvol9.idx >${TMP}/trace ; \ ${LATEX} bookvol9.tex >${TMP}/trace ; \ ${DVIPDFM} bookvol9.dvi 2>${TMP}/trace ; \ ${RM} bookvol9.aux bookvol9.dvi bookvol9.log bookvol9.ps ; \ @@ -145,6 +145,118 @@ ${RM} bookvol9.ilg bookvol9.ind ; \ fi ) +${PDF}/bookvol10.2.pdf: ${IN}/bookvol10.2.pamphlet + @echo books/1 making ${PDF}/bookvol10.2.pdf from ${IN}/bookvol10.2.pamphlet + @(cd ${PDF} ; \ + cp ${IN}/bookvol10.2.pamphlet ${PDF}/bookvol10.2.tex ; \ + cp -pr ${IN}/ps ${PDF} ; \ + if [ -z "${NOISE}" ] ; then \ + ${RM} bookvol10.2.toc ; \ + ${LATEX} bookvol10.2.tex ; \ + ${MAKEINDEX} bookvol10.2.idx >/dev/null ; \ + ${LATEX} bookvol10.2.tex >/dev/null ; \ + ${DVIPDFM} bookvol10.2.dvi 2>/dev/null ; \ + ${RM} bookvol10.2.aux bookvol10.2.dvi bookvol10.2.log ; \ + ${RM} bookvol10.2.ps ; \ + ${RM} bookvol10.2.idx bookvol10.2.tex bookvol10.2.pamphlet ; \ + ${RM} bookvol10.2.ilg bookvol10.2.ind ; \ + else \ + ${RM} bookvol10.2.toc ; \ + ${LATEX} bookvol10.2.tex >${TMP}/trace ; \ + echo ...first latex complete ; \ + ${MAKEINDEX} bookvol10.2.idx >${TMP}/trace ; \ + ${LATEX} bookvol10.2.tex >${TMP}/trace ; \ + ${DVIPDFM} bookvol10.2.dvi 2>${TMP}/trace ; \ + ${RM} bookvol10.2.aux bookvol10.2.dvi bookvol10.2.log ; \ + ${RM} bookvol10.2.ps ; \ + ${RM} bookvol10.2.idx bookvol10.2.tex bookvol10.2.pamphlet ; \ + ${RM} bookvol10.2.ilg bookvol10.2.ind ; \ + fi ) + +${PDF}/bookvol10.3.pdf: ${IN}/bookvol10.3.pamphlet + @echo books/1 making ${PDF}/bookvol10.3.pdf from ${IN}/bookvol10.3.pamphlet + @(cd ${PDF} ; \ + cp ${IN}/bookvol10.3.pamphlet ${PDF}/bookvol10.3.tex ; \ + cp -pr ${IN}/ps ${PDF} ; \ + if [ -z "${NOISE}" ] ; then \ + ${RM} bookvol10.3.toc ; \ + ${LATEX} bookvol10.3.tex ; \ + ${MAKEINDEX} bookvol10.3.idx >/dev/null ; \ + ${LATEX} bookvol10.3.tex >/dev/null ; \ + ${DVIPDFM} bookvol10.3.dvi 2>/dev/null ; \ + ${RM} bookvol10.3.aux bookvol10.3.dvi bookvol10.3.log ; \ + ${RM} bookvol10.3.ps ; \ + ${RM} bookvol10.3.idx bookvol10.3.tex bookvol10.3.pamphlet ; \ + ${RM} bookvol10.3.ilg bookvol10.3.ind ; \ + else \ + ${RM} bookvol10.3.toc ; \ + ${LATEX} bookvol10.3.tex >${TMP}/trace ; \ + echo ...first latex complete ; \ + ${MAKEINDEX} bookvol10.3.idx >${TMP}/trace ; \ + ${LATEX} bookvol10.3.tex >${TMP}/trace ; \ + ${DVIPDFM} bookvol10.3.dvi 2>${TMP}/trace ; \ + ${RM} bookvol10.3.aux bookvol10.3.dvi bookvol10.3.log ; \ + ${RM} bookvol10.3.ps ; \ + ${RM} bookvol10.3.idx bookvol10.3.tex bookvol10.3.pamphlet ; \ + ${RM} bookvol10.3.ilg bookvol10.3.ind ; \ + fi ) + +${PDF}/bookvol10.4.pdf: ${IN}/bookvol10.4.pamphlet + @echo books/1 making ${PDF}/bookvol10.4.pdf from ${IN}/bookvol10.4.pamphlet + @(cd ${PDF} ; \ + cp ${IN}/bookvol10.4.pamphlet ${PDF}/bookvol10.4.tex ; \ + cp -pr ${IN}/ps ${PDF} ; \ + if [ -z "${NOISE}" ] ; then \ + ${RM} bookvol10.4.toc ; \ + ${LATEX} bookvol10.4.tex ; \ + ${MAKEINDEX} bookvol10.4.idx >/dev/null ; \ + ${LATEX} bookvol10.4.tex >/dev/null ; \ + ${DVIPDFM} bookvol10.4.dvi 2>/dev/null ; \ + ${RM} bookvol10.4.aux bookvol10.4.dvi bookvol10.4.log ; \ + ${RM} bookvol10.4.ps ; \ + ${RM} bookvol10.4.idx bookvol10.4.tex bookvol10.4.pamphlet ; \ + ${RM} bookvol10.4.ilg bookvol10.4.ind ; \ + else \ + ${RM} bookvol10.4.toc ; \ + ${LATEX} bookvol10.4.tex >${TMP}/trace ; \ + echo ...first latex complete ; \ + ${MAKEINDEX} bookvol10.4.idx >${TMP}/trace ; \ + ${LATEX} bookvol10.4.tex >${TMP}/trace ; \ + ${DVIPDFM} bookvol10.4.dvi 2>${TMP}/trace ; \ + ${RM} bookvol10.4.aux bookvol10.4.dvi bookvol10.4.log ; \ + ${RM} bookvol10.4.ps ; \ + ${RM} bookvol10.4.idx bookvol10.4.tex bookvol10.4.pamphlet ; \ + ${RM} bookvol10.4.ilg bookvol10.4.ind ; \ + fi ) + +${PDF}/bookvol10.5.pdf: ${IN}/bookvol10.5.pamphlet + @echo books/1 making ${PDF}/bookvol10.5.pdf from ${IN}/bookvol10.5.pamphlet + @(cd ${PDF} ; \ + cp ${IN}/bookvol10.5.pamphlet ${PDF}/bookvol10.5.tex ; \ + cp -pr ${IN}/ps ${PDF} ; \ + if [ -z "${NOISE}" ] ; then \ + ${RM} bookvol10.5.toc ; \ + ${LATEX} bookvol10.5.tex ; \ + ${MAKEINDEX} bookvol10.5.idx >/dev/null ; \ + ${LATEX} bookvol10.5.tex >/dev/null ; \ + ${DVIPDFM} bookvol10.5.dvi 2>/dev/null ; \ + ${RM} bookvol10.5.aux bookvol10.5.dvi bookvol10.5.log ; \ + ${RM} bookvol10.5.ps ; \ + ${RM} bookvol10.5.idx bookvol10.5.tex bookvol10.5.pamphlet ; \ + ${RM} bookvol10.5.ilg bookvol10.5.ind ; \ + else \ + ${RM} bookvol10.5.toc ; \ + ${LATEX} bookvol10.5.tex >${TMP}/trace ; \ + echo ...first latex complete ; \ + ${MAKEINDEX} bookvol10.5.idx >${TMP}/trace ; \ + ${LATEX} bookvol10.5.tex >${TMP}/trace ; \ + ${DVIPDFM} bookvol10.5.dvi 2>${TMP}/trace ; \ + ${RM} bookvol10.5.aux bookvol10.5.dvi bookvol10.5.log ; \ + ${RM} bookvol10.5.ps ; \ + ${RM} bookvol10.5.idx bookvol10.5.tex bookvol10.5.pamphlet ; \ + ${RM} bookvol10.5.ilg bookvol10.5.ind ; \ + fi ) + ${PDF}/%.pdf: ${IN}/%.pamphlet @echo 0 making ${PDF}/$*.pdf from ${IN}/$*.pamphlet @(cd ${PDF} ; \ @@ -154,7 +266,7 @@ if [ -z "${NOISE}" ] ; then \ ${RM} $*.toc ; \ ${LATEX} $*.tex ; \ - ${MAKEINDEX} $* >/dev/null ; \ + ${MAKEINDEX} $*.idx >/dev/null ; \ ${LATEX} $*.tex >/dev/null ; \ ${DVIPDFM} $*.dvi 2>/dev/null ; \ ${RM} $*.aux $*.dvi $*.log $*.ps $*.idx $*.tex $*.pamphlet ; \ @@ -163,7 +275,7 @@ ${RM} $*.toc ; \ ${LATEX} $*.tex >${TMP}/trace ; \ echo ...first latex complete ; \ - ${MAKEINDEX} $* >${TMP}/trace ; \ + ${MAKEINDEX} $*.idx >${TMP}/trace ; \ ${LATEX} $*.tex >${TMP}/trace ; \ ${DVIPDFM} $*.dvi 2>${TMP}/trace ; \ ${RM} $*.aux $*.dvi $*.log $*.ps $*.idx $*.tex $*.pamphlet ; \ @@ -204,6 +316,7 @@ @echo 13 making ${PDF}/toc.pdf @(cd ${PDF} ; \ echo "\\documentclass{book}" >toc.tex ; \ + echo "\\setlength{\\textwidth}{400pt}" >>toc.tex ; \ echo "\\usepackage{amssymb}" >>toc.tex ; \ echo "\\begin{document}" >>toc.tex ; \ echo "{\\bf Volume ~ 0}: Axiom {\\sl Jenks and Sutor}\\\\" >toc.toc ; \ diff -Nru axiom-20110301a/books/ps/bookvol1a.eps axiom-20111101/books/ps/bookvol1a.eps --- axiom-20110301a/books/ps/bookvol1a.eps 1970-01-01 00:00:00.000000000 +0000 +++ axiom-20111101/books/ps/bookvol1a.eps 2011-12-01 04:03:12.000000000 +0000 @@ -0,0 +1,2833 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: GIMP PostScript file plugin V 1.17 by Peter Kirchgessner +%%Title: h-root.eps +%%CreationDate: Wed May 25 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00:00:00.000000000 +0000 @@ -1,1335 +0,0 @@ -%!PS-Adobe-2.0 EPSF-1.2 -%%BoundingBox: 143.000000 281.197176 469.000000 541.042830 -%%Creator: xwd2ps -%%CreationDate: Sat Nov 23 21:42:29 1991 -%%Title: h-root.xwd -%%EndComments -% xwd2ps -- program written by Robert C. Tatar and Craig A. McGowan. -% The command used to create this file (missing quotes on strings): -% xwd2ps -w4.5 h-root.xwd -% by loan7:themos (Themos Tsikas, NAG Ltd) -% Information from XWD rasterfile header: -% width = 622, height = 495, depth = 8 -% file_version = 7, pixmap_format = 2, byte_order = 1 -% bitmap_unit = 32, bitmap_bit_order = 1, bitmap_pad = 32 -% bits_per_pixel = 8, bytes_per_line = 624, visual_class = 3 -% bits/rgb = 8, colormap entries = 256, ncolors = 256 -% Portion of raster image in this file: -% starting line = 1 -% ending line = 495 -% starting column = 1 -% ending column = 622 -gsave -/inch {72 mul} def -/buffer 2 string def -/rgbmap 768 string def -/rgb (000) def -/pixels 768 string def -%%Title: colorimage.ps -% Written 11-4-88 by Bob Tatar -% U.S. Mail: GE-CRD, PO Box 8, KW-C214, Schenectady, NY 12301 -% E-Mail: tatar@crd.ge.com -% colorimage procedure to be used on monochrome printers -% or when the colorimage procedure is not available -% NOTE: Only 1 color mode is supported: single proc. & RGB - -systemdict /colorimage known not { % only create if not in systemdict - % Utility procedure for colorimage operator. This procedure takes a - % string of rgb encoded values and creates a string 1/3 as long with - % monochrome values. This procedure assumes 8 bits/color (i.e. - % 1 character/color) - % storage format for input string: (r1 g1 b1 r2 g2 b2 r3 g3 b3 ... ) - % storage format for output string: (g1 g2 g3 ... ) - - /colortograyscale { %def % (string) - dup /rgbdata exch store % (string) - length 3 idiv % Ns/3 - /npixls exch store % ; npixls => Ns/3 - /indx 0 store % ; indx => 0 - /pixls npixls string store % ; pixls => (....) - 0 1 npixls -1 add { % counter - pixls exch % pixls counter - rgbdata indx get .3 mul % pixls counter .3*rgbdata(ind) - rgbdata indx 1 add get .59 mul add % pixls counter .3*rgbdata(ind) + - % .59*rgbdata(ind+1) - rgbdata indx 2 add get .11 mul add % pixls counter .3*rgbdata(ind) + .59 - % *rgbdata(ind+1)+.11*rgbdata(ind+2) - cvi % pixls counter - put % - /indx indx 3 add store % ; /ind => ind+3 - } for % repeat for each rgb value - pixls % (pixls) - } bind def % ; /colortograyscale -> dictionary - - % Utility procedure for colorimage operator. This procedure takes two - % procedures off the stack and merges them into a single procedure. - - /mergeprocs { %def % {proc1} {proc2} - dup length % {proc1} {proc2} N2 - 3 -1 roll % {proc2} N2 {proc1} - dup % {proc2} N2 {proc1} {proc1} - length % {proc2} N2 {proc1} N1 - dup % {proc2} N2 {proc1} N1 N1 - 5 1 roll % N1 {proc2} N2 {proc1} N1 - 3 -1 roll % N1 {proc2} {proc1} N1 N2 - add % N1 {proc2} {proc1} N1+N2 - array cvx % N1 {proc2} {proc1} { ... } - dup % N1 {proc2} {proc1} { ... } { ... } - 3 -1 roll % N1 {proc2} { ... } { ... } {proc1} - 0 exch % N1 {proc2} { ... } { ... } 0 {proc1} - putinterval % N1 {proc2} { <<{proc1}>> ... } - dup % N1 {proc2} { <<{proc1}>> ... } { <<{proc1}>> ... } - 4 2 roll % { <<{proc1}>> ... } { <<{proc1}>> ... } N1 {proc2} - putinterval % { <<{proc1}>> <<{proc2}>> } - } bind def % ; /mergeprocs => dictionary - - /colorimage { %def % {imageproc} multiproc ncolors - pop % {imageproc} multiproc ; assume 3 colors - pop % {imageproc} ; assume false - {colortograyscale} % {imageproc} {colortograyscale} - mergeprocs % {imageproc colortograyscale} - image % construct monochrome image - } bind def % ; /colorimage => dictionary -} if % only create if it doesn't already exist -/drawcolorimage { - 622 495 8 - [622 0 0 -495 0 495] - {currentfile buffer readhexstring pop pop % get run length & color info - /npixels buffer 0 get 1 add 3 mul store % number of pixels (run length) - /color buffer 1 get 3 mul store % color of pixels - % /pixels npixels string store % create string to hold colors - /rgb rgbmap color 3 getinterval store % get rgb value - 0 3 npixels -1 add { - pixels exch rgb putinterval - } for - pixels 0 npixels getinterval % Return color values - } - false 3 - colorimage -} bind def -%2.000000 inch 3.919405 inch translate -matrix currentmatrix -4.500000 inch 3.581190 inch scale - -% get rgb color table -currentfile rgbmap readhexstring pop pop -000000 -ffffff -b3b3b3 -d8d8bf -dbdb70 -ffff00 -3299cc -236b8e -238e23 -cc7f32 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+0000 @@ -1,1335 +0,0 @@ -%!PS-Adobe-2.0 EPSF-1.2 -%%BoundingBox: 143.000000 281.197176 469.000000 541.042830 -%%Creator: xwd2ps -%%CreationDate: Sat Nov 23 21:42:29 1991 -%%Title: h-root.xwd -%%EndComments -% xwd2ps -- program written by Robert C. Tatar and Craig A. McGowan. -% The command used to create this file (missing quotes on strings): -% xwd2ps -w4.5 h-root.xwd -% by loan7:themos (Themos Tsikas, NAG Ltd) -% Information from XWD rasterfile header: -% width = 622, height = 495, depth = 8 -% file_version = 7, pixmap_format = 2, byte_order = 1 -% bitmap_unit = 32, bitmap_bit_order = 1, bitmap_pad = 32 -% bits_per_pixel = 8, bytes_per_line = 624, visual_class = 3 -% bits/rgb = 8, colormap entries = 256, ncolors = 256 -% Portion of raster image in this file: -% starting line = 1 -% ending line = 495 -% starting column = 1 -% ending column = 622 -gsave -/inch {72 mul} def -/buffer 2 string def -/rgbmap 768 string def -/rgb (000) def -/pixels 768 string def -%%Title: colorimage.ps -% Written 11-4-88 by Bob Tatar -% U.S. Mail: GE-CRD, PO Box 8, KW-C214, Schenectady, NY 12301 -% E-Mail: tatar@crd.ge.com -% colorimage procedure to be used on monochrome printers -% or when the colorimage procedure is not available -% NOTE: Only 1 color mode is supported: single proc. & RGB - -systemdict /colorimage known not { % only create if not in systemdict - % Utility procedure for colorimage operator. This procedure takes a - % string of rgb encoded values and creates a string 1/3 as long with - % monochrome values. This procedure assumes 8 bits/color (i.e. - % 1 character/color) - % storage format for input string: (r1 g1 b1 r2 g2 b2 r3 g3 b3 ... ) - % storage format for output string: (g1 g2 g3 ... ) - - /colortograyscale { %def % (string) - dup /rgbdata exch store % (string) - length 3 idiv % Ns/3 - /npixls exch store % ; npixls => Ns/3 - /indx 0 store % ; indx => 0 - /pixls npixls string store % ; pixls => (....) - 0 1 npixls -1 add { % counter - pixls exch % pixls counter - rgbdata indx get .3 mul % pixls counter .3*rgbdata(ind) - rgbdata indx 1 add get .59 mul add % pixls counter .3*rgbdata(ind) + - % .59*rgbdata(ind+1) - rgbdata indx 2 add get .11 mul add % pixls counter .3*rgbdata(ind) + .59 - % *rgbdata(ind+1)+.11*rgbdata(ind+2) - cvi % pixls counter - put % - /indx indx 3 add store % ; /ind => ind+3 - } for % repeat for each rgb value - pixls % (pixls) - } bind def % ; /colortograyscale -> dictionary - - % Utility procedure for colorimage operator. This procedure takes two - % procedures off the stack and merges them into a single procedure. - - /mergeprocs { %def % {proc1} {proc2} - dup length % {proc1} {proc2} N2 - 3 -1 roll % {proc2} N2 {proc1} - dup % {proc2} N2 {proc1} {proc1} - length % {proc2} N2 {proc1} N1 - dup % {proc2} N2 {proc1} N1 N1 - 5 1 roll % N1 {proc2} N2 {proc1} N1 - 3 -1 roll % N1 {proc2} {proc1} N1 N2 - add % N1 {proc2} {proc1} N1+N2 - array cvx % N1 {proc2} {proc1} { ... } - dup % N1 {proc2} {proc1} { ... } { ... } - 3 -1 roll % N1 {proc2} { ... } { ... } {proc1} - 0 exch % N1 {proc2} { ... } { ... } 0 {proc1} - putinterval % N1 {proc2} { <<{proc1}>> ... } - dup % N1 {proc2} { <<{proc1}>> ... } { <<{proc1}>> ... } - 4 2 roll % { <<{proc1}>> ... } { <<{proc1}>> ... } N1 {proc2} - putinterval % { <<{proc1}>> <<{proc2}>> } - } bind def % ; /mergeprocs => dictionary - - /colorimage { %def % {imageproc} multiproc ncolors - pop % {imageproc} multiproc ; assume 3 colors - pop % {imageproc} ; assume false - {colortograyscale} % {imageproc} {colortograyscale} - mergeprocs % {imageproc colortograyscale} - image % construct monochrome image - } bind def % ; /colorimage => dictionary -} if % only create if it doesn't already exist -/drawcolorimage { - 622 495 8 - [622 0 0 -495 0 495] - {currentfile buffer readhexstring pop pop % get run length & color info - /npixels buffer 0 get 1 add 3 mul store % number of pixels (run length) - /color buffer 1 get 3 mul store % color of pixels - % /pixels npixels string store % create string to hold colors - /rgb rgbmap color 3 getinterval store % get rgb value - 0 3 npixels -1 add { - pixels exch rgb putinterval - } for - pixels 0 npixels getinterval % Return color values - } - false 3 - colorimage -} bind def -%2.000000 inch 3.919405 inch translate -matrix currentmatrix -4.500000 inch 3.581190 inch scale - -% get rgb color table -currentfile rgbmap readhexstring pop pop -000000 -ffffff -b3b3b3 -d8d8bf -dbdb70 -ffff00 -3299cc -236b8e -238e23 -cc7f32 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(si::getenv "AXIOM")) (BOOKS (si::getenv "BOOKS")) HELP PAT) (setq HELP (concatenate 'string AXIOM "/doc/spadhelp")) - (setq PAT1 ".help") - (setq PAT2 ".help>>") - (allchunks PAT1 (concatenate 'string BOOKS "/bookvol5.pamphlet") HELP nil) - (allchunks PAT2 (concatenate 'string BOOKS "/bookvol10.2.pamphlet") HELP t) - (allchunks PAT2 (concatenate 'string BOOKS "/bookvol10.3.pamphlet") HELP t) - (allchunks PAT2 (concatenate 'string BOOKS "/bookvol10.4.pamphlet") HELP t) - (allchunks PAT2 (concatenate 'string BOOKS "/bookvol10.5.pamphlet") HELP t))) + (setq PAT ".help") + (allchunks PAT (concatenate 'string BOOKS "/bookvol5.pamphlet") HELP nil) + (allchunks PAT (concatenate 'string BOOKS "/bookvol10.2.pamphlet") HELP nil) + (allchunks PAT (concatenate 'string BOOKS "/bookvol10.3.pamphlet") HELP nil) + (allchunks PAT (concatenate 'string BOOKS "/bookvol10.4.pamphlet") HELP nil) + (allchunks PAT + (concatenate 'string BOOKS "/bookvol10.5.pamphlet") HELP nil))) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; 13 makeInputFiles @@ -468,11 +468,12 @@ (defun makeInputFiles () (let ((SPD (si::getenv "SPD")) (BOOKS (si::getenv "BOOKS")) INPUT PAT) (setq INPUT (concatenate 'string SPD "/int/input")) - (setq PAT ".input>>") - (allchunks PAT (concatenate 'string BOOKS "/bookvol10.2.pamphlet") INPUT t) - (allchunks PAT (concatenate 'string BOOKS "/bookvol10.3.pamphlet") INPUT t) - (allchunks PAT (concatenate 'string BOOKS "/bookvol10.4.pamphlet") INPUT t) - (allchunks PAT (concatenate 'string BOOKS "/bookvol10.5.pamphlet") INPUT t))) + (setq PAT ".input") + (allchunks PAT (concatenate 'string BOOKS "/bookvol10.2.pamphlet") INPUT nil) + (allchunks PAT (concatenate 'string BOOKS "/bookvol10.3.pamphlet") INPUT nil) + (allchunks PAT (concatenate 'string BOOKS "/bookvol10.4.pamphlet") INPUT nil) + (allchunks PAT + (concatenate 'string BOOKS "/bookvol10.5.pamphlet") INPUT nil))) diff -Nru axiom-20110301a/changelog axiom-20111101/changelog --- axiom-20110301a/changelog 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/changelog 2011-12-01 04:03:13.000000000 +0000 @@ -1,3 +1,572 @@ +20111130 tpd src/axiom-website/patches.html 20111130.04.tpd.patch +20111130 tpd src/axiom-website/patches.html 20111130 update patch frontier +20111130 tpd src/axiom-website/releasenotes.html +20111130 tpd books/ps/v71releasenotes.eps add release notes +20111130 tpd books/ps/v71nov2011.eps added +20111130 tpd books/bookvol7.1 update What's New Page +20111130 tpd Makefile.pamphlet VERSION = November 2011 +20111130 tpd Makefile VERSION = November 2011 +20111130 tpd src/axiom-website/patches.html 20111130.03.tpd.patch +20111130 tpd books/Makefile fix missing book index +20111130 tpd src/axiom-website/patches.html 20111130.02.tpd.patch +20111130 tpd src/interp/Makefile remove c-doc.lisp +20111130 tpd src/interp/c-doc.lisp removed +20111130 tpd books/bookvol9 treeshake and merge c-doc.lisp +20111130 tpd src/axiom-website/patches.html 20111130.01.tpd.patch +20111130 tpd src/algebra/Makefile fix .input file algebra extraction +20111130 tpd books/tangle.lisp fix .input file algebra extraction +20111129 tpd src/axiom-website/patches.html 20111129.01.tpd.patch +20111129 tpd src/axiom-website/litprog.html literate program example update +20111129 tpd src/axiom-website/documentation.html add Alexander quote +20111124 tpd src/axiom-website/patches.html 20111124.04.tpd.patch +20111124 tpd src/interp/c-doc.lisp treeshake compiler +20111124 tpd books/bookvol9 treeshake compiler +20111124 tpd src/axiom-website/patches.html 20111124.03.tpd.patch +20111124 tpd books/bookvolbib add additional references +20111124 tpd src/axiom-website/patches.html 20111124.02.tpd.patch +20111124 tpd src/interp/c-doc.lisp treeshake compiler +20111124 tpd books/bookvol9 treeshake compiler +20111124 tpd src/axiom-website/patches.html 20111124.01.tpd.patch +20111124 tpd src/axiom-website/documentation.html add quote +20111124 tpd src/axiom-website/litprog.html add quote +20111118 tpd src/axiom-website/patches.html 20111118.01.tpd.patch +20111118 tpd src/axiom-website/litprog.html added +20111118 tpd src/axiom-website/documentation.html add litprog.html +20111117 wxh src/axiom-website/patches.html 20111117.01.tpd.patch +20111117 tpd src/interp/c-doc.lisp treeshake compiler +20111117 tpd books/bookvol9 treeshake compiler +20111116 wxh src/axiom-website/patches.html 20111116.02.wxh.patch +20111116 wxh src/interp/i-spec2.lisp fix AN has sqrt: % -> % +20111116 tpd src/axiom-website/patches.html 20111116.01.tpd.patch +20111116 tpd src/interp/c-doc.lisp treeshake compiler +20111116 tpd books/bookvol9 treeshake compiler +20111113 tpd src/axiom-website/patches.html 20111113.01.tpd.patch +20111113 tpd src/interp/Makefile remove apply.lisp +20111113 tpd src/interp/apply.lisp removed, merged with bookvol9 +20111113 tpd books/bookvol9 treeshake compiler +20111112 tpd src/axiom-website/patches.html 20111112.01.tpd.patch +20111112 tpd src/interp/apply.lisp treeshake compiler +20111112 tpd books/bookvol9 treeshake compiler +20111108 tpd src/axiom-website/patches.html 20111108.02.tpd.patch +20111108 tpd src/interp/i-spec1.lisp treeshake interpreter +20111108 tpd books/bookvol5 treeshake interpreter +20111108 tpd src/axiom-website/patches.html 20111108.01.tpd.patch +20011108 tpd src/axiom-website/documentation.html add Knuth quote +20111107 tpd src/axiom-website/patches.html 20111107.01.tpd.patch +20111107 tpd books/bookvolbib add references +20111106 tpd src/axiom-website/patches.html 20111106.04.tpd.patch +20111106 tpd books/bookvolbib Axiom OpenMath references +20111106 tpd books/bookvol5 OpenMath support +20111106 tpd zips/cds.tar.gz OpenMath support. add OpenMath CDs +20111106 tpd src/axiom-website/patches.html 20111106.03.tpd.patch +20111106 tpd books/bookvol10.3 remove GETREFV +20111106 tpd src/interp/buildom.lisp remove GETREFV +20111106 tpd src/interp/category.lisp remove GETREFV +20111106 tpd src/interp/functor.lisp remove GETREFV +20111106 tpd src/interp/nruncomp.lisp remove GETREFV +20111106 tpd src/interp/nrunopt.lisp remove GETREFV +20111106 tpd src/interp/sys-pkg.lisp remove GETREFV +20111106 tpd src/interp/template.lisp remove GETREFV +20111106 tpd src/interp/vmlisp.lisp remove GETREFV +20111106 tpd src/axiom-website/patches.html 20111106.02.tpd.patch +20111106 tpd books/bookvol5 add OpenMath stubs +20111106 tpd src/axiom-website/patches.html 20111106.01.tpd.patch +20111106 tpd src/interp/vmlisp.lisp missing/unused function cleanup +20111106 tpd src/interp/sys-pkg.lisp missing/unused function cleanup +20111106 tpd src/interp/interp-proclaims.lisp missing/unused function cleanup +20111106 tpd src/interp/g-util.lisp missing/unused function cleanup +20111106 tpd src/interp/functor.lisp missing/unused function cleanup +20111106 tpd src/interp/c-util.lisp missing/unused function cleanup +20111106 tpd books/bookvol9 missing/unused function cleanup 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20110706.01.tpd.patch +20110706 tpd src/scripts/tex/axiom.sty define \defsdollar and \refsdollar +20110706 tpd src/doc/axiom.sty define \defsdollar and \refsdollar +20110706 tpd books/bookvol9 use \defsdollar and \refsdollar +20110705 tpd src/axiom-website/patches.html 20110705.01.tpd.patch +20110705 tpd books/bookvol5 remove dewriteify,s inner function +20110605 tpd src/axiom-website/patches.html 20110605.01.tpd.patch +20110605 tpd Makefile add BUILD=full / BUILD=fast +20110605 tpd Makefile.pamphlet add BUILD=full / BUILD=fast +20110601 tpd src/axiom-website/patches.html 20110601.01.tpd.patch +20110601 tpd src/interp/modemap.lisp treeshake compiler +20110601 tpd src/interp/lisplib.lisp treeshake compiler +20110601 tpd src/interp/info.lisp treeshake compiler +20110601 tpd src/interp/define.lisp treeshake compiler +20110601 tpd books/bookvol9 treeshake compiler +20110531 tpd src/axiom-website/patches.html 20110531.01.tpd.patch +20110531 tpd src/interp/define.lisp treeshake compiler +20110531 tpd books/bookvol9 treeshake compiler +20110530 tpd src/axiom-website/patches.html 20110530.01.tpd.patch +20110530 tpd src/interp/define.lisp treeshake compiler +20110530 tpd books/bookvol9 treeshake compiler +20110528 tpd src/axiom-website/patches.html 20110528.01.tpd.patch +20110528 tpd src/interp/define.lisp treeshake compiler +20110528 tpd books/bookvol9 treeshake compiler +20110527 tpd src/axiom-website/patches.html 20110527.02.tpd.patch +20110527 tpd src/axiom-website/download.html add ubuntu +20110527 tpd src/axiom-website/patches.html 20110527.01.tpd.patch +20110527 tpd src/axiom-website/patches.html 20110527 update patch frontier +20110527 tpd src/axiom-website/releasenotes.html +20110527 tpd books/ps/v71releasenotes.eps add release notes +20110527 tpd books/ps/v71may2011.eps +20110527 tpd books/bookvol7.1 update What's New Page +20110527 tpd Makefile.pamphlet VERSION = May 2011 +20110527 tpd Makefile VERSION = May 2011 +20110526 tpd src/axiom-website/patches.html 20110526.02.tpd.patch +20110526 tpd src/axiom-website/bugreport.html give my email address +20110526 tpd src/axiom-website/patches.html 20110526.01.tpd.patch +20110526 tpd src/axiom-website/videos.html add online book link +20110526 tpd src/axiom-website/screenshots.html add online book link +20110526 tpd src/axiom-website/rosetta.html add online book link +20110526 tpd src/axiom-website/releasenotes.html add online book link +20110526 tpd src/axiom-website/patches.html add online book link +20110526 tpd src/axiom-website/participate.html add online book link +20110526 tpd src/axiom-website/outsidelinks.html add online book link +20110526 tpd src/axiom-website/information.html add online book link +20110526 tpd src/axiom-website/index1.html add online book link +20110526 tpd src/axiom-website/index.html add online book link +20110526 tpd src/axiom-website/help.html add online book link +20110526 tpd src/axiom-website/faq.html add online book link +20110526 tpd src/axiom-website/download.html add online book link +20110526 tpd src/axiom-website/documentation.html add online book link +20110526 tpd src/axiom-website/developers.html add online book link +20110526 tpd src/axiom-website/currentstate.html add online book link +20110526 tpd src/axiom-website/contact.html add online book link +20110526 tpd src/axiom-website/community.html add online book link +20110526 tpd src/axiom-website/commonheader.html add online book link +20110526 tpd src/axiom-website/bugreport.html add online book link +20110526 tpd src/axiom-website/books.html add online book link +20110525 tpd src/axiom-website/patches.html 20110525.01.tpd.patch +20110525 tpd books/Makefile fix missing index +20110525 tpd src/axiom-website/hyperdoc/axbook.tgz retar the book +20110525 tpd src/axiom-website/hyperdoc/axbook/section-0.7.xhtml port changes +30110525 tpd src/axiom-website/hyperdoc/axbook/section-0.6.xhtml port changes +20110525 tpd src/axiom-website/hyperdoc/axbook/section-0.1.xhtml port changes +20110525 tpd src/axiom-website/hyperdoc/axbook/ps/h-root.png port changes +20110525 tpd books/bookvol1 proofread and copyedit +20110525 tpd books/bookvol0 proofread to chapter 1 (pdf page 86) +20110525 tpd books/ps/h-root.eps regimped from h-root.eps and made current +20110525 tpd books/ps/h-root.ps regimped to h-root.eps +20110525 tpd books/ps/bookvol1a.eps regimped and made current +20110525 tpd books/ps/bookvol1a.ps regimped to bookvol1a.eps +20110524 tpd src/axiom-website/patches.html 20110524.03.tpd.patch +20110524 tpd books/bookvol9 treeshake compiler +20110524 tpd src/interp/define.lisp treeshake compiler +20110524 tpd src/axiom-website/patches.html 20110524.02.tpd.patch +20110524 tpd books/bookvol5 add Doug Telford to credits +20110524 tpd readme add Doug Telford to credits +20110524 tpd src/axiom-website/patches.html 20110524.01.tpd.patch +20110524 tdt src/input/Makefile bug report regression test +20110524 tdt src/input/telford.input bug report regression test +20110524 tdt T. Doug Telford +20110523 tpd src/axiom-website/patches.html 20110523.01.tpd.patch +20110523 tpd src/interp/vmlisp.lisp treeshake compiler +20110523 tpd src/interp/define.lisp treeshake compiler +20110523 tpd books/bookvol9 treeshake compiler +20110518 tpd src/axiom-website/patches.html 20110518.01.tpd.patch +20110518 tpd src/interp/define.lisp treeshake compiler +20110518 tpd books/bookvol9 treeshake compiler +20110517 tpd src/axiom-website/patches.html 20110517.01.tpd.patch +20110517 tpd src/interp/define.lisp treeshake compiler +20110517 tpd books/bookvol9 treeshake compiler +20110516 tpd src/axiom-website/patches.html 20110516.01.tpd.patch +20110516 tpd src/interp/define.lisp treeshake compiler +20110516 tpd books/bookvol9 treeshake compiler +20110515 tpd src/axiom-website/patches.html 20110515.01.tpd.patch +20110515 tpd src/interp/define.lisp treeshake compiler +20110515 tpd books/bookvol9 treeshake compiler +20110514 tpd src/axiom-website/patches.html 20110514.02.tpd.patch +20110514 tpd books/bookvol9 normalize argument names to top level functions +20110514 tpd src/axiom-website/patches.html 20110514.01.tpd.patch +20110514 tpd books/bookvolbib set textlength 400 +20110514 tpd books/bookvol8 set textlength 400 +20110514 tpd books/bookvol7 set textlength 400 +20110514 tpd books/bookvol7.1 set textlength 400 +20110514 tpd books/bookvol6 set textlength 400 +20110514 tpd books/bookvol5 set textlength 400 +20110514 tpd books/bookvol4 set textlength 400 +20110514 tpd books/bookvol3 set textlength 400 +20110514 tpd books/bookvol2 set textlength 400 +20110514 tpd books/bookvol12 set textlength 400 +20110514 tpd books/bookvol11 set textlength 400 +20110514 tpd books/bookvol10 set textlength 400 +20110514 tpd books/bookvol10.5 set textlength 400 +20110514 tpd books/bookvol10.4 set textlength 400 +20110514 tpd books/bookvol10.3 set textlength 400 +20110514 tpd books/bookvol10.2 set textlength 400 +20110514 tpd books/bookvol10.1 set textlength 400 +20110514 tpd books/bookvol1 set textlength 400 +20110514 tpd books/bookvol0 set textlength 400 +20110514 tpd books/Makefile set textlength 400 +20110513 tpd src/axiom-website/patches.html 20110513.01.tpd.patch +20110513 tpd src/interp/parsing.lisp treeshake compiler +20110513 tpd books/bookvol9 treeshake compiler +20110511 tpd src/axiom-website/patches.html 20110511.01.tpd.patch +20110511 tpd src/interp/parsing.lisp treeshake interpreter +20110511 tpd books/bookvol5 treeshake interpreter +20110504 tpd src/axiom-website/patches.html 20110504.01.tpd.patch +20110504 tpd src/interp/parsing.lisp treeshake interpreter +20110504 tpd books/bookvol5 treeshake interpreter +20110503 tpd src/axiom-website/patches.html 20110503.01.tpd.patch +20110503 tpd src/interp/parsing.lisp treeshake interpreter +20110503 tpd books/bookvol5 treeshake interpreter +20110424 wxh src/axiom-website/patches.html 20110424.01.tpd.patch +20110424 wxh src/input/Makefile add erf.input +20110424 wxh src/input/erf.input add examples of erf integration +20110418 tpd src/axiom-website/patches.html 20110418.02.tpd.patch +20110418 tpd src/axiom-websilte/download.html add opensuse mar2011 +20110418 tpd src/axiom-website/patches.html 20110418.01.tpd.patch +20110418 tpd src/axiom-websilte/download.html add debian mar2011 +20110417 tpd src/axiom-website/patches.html 20110417.03.tpd.patch +20110417 tpd src/axiom-websilte/download.html add slackware mar2011 +20110417 tpd src/axiom-website/patches.html 20110417.02.tpd.patch +20110417 tpd src/axiom-websilte/download.html add vector mar2011 +20110417 tpd src/axiom-website/patches.html 20110417.01.tpd.patch +20110417 tpd src/axiom-websilte/download.html add fedora mar2011 +20110411 tpd src/axiom-website/patches.html 20110411.02.tpd.patch +20110411 tpd books/bookvolbib add several references +20110411 tpd src/axiom-website/patches.html 20110411.01.tpd.patch +20110411 tpd src/input/Makefile add davis.input +20110411 tpd src/input/davis.input +20110404 exs src/axiom-website/patches.html 20110404.01.exs.patch +20110404 exs src/axiom-website/hyperdoc/axbook.tgz rebuilt +20110404 exs books/bookvol0 replace "operator over" by "operate over" +20110404 exs src/axiom-website/hyperdoc/axbook/section-0.6.xhtml typo fix +20110328 tpd src/axiom-website/patches.html 20110328.02.tpd.patch +20110328 tpd src/axiom-website/download.html add ubuntu 20110328 tpd src/axiom-website/patches.html 20110328.01.tpd.patch 20110328 tpd src/axiom-website/releasenotes.html 20110328 tpd books/ps/v71releasenotes.eps add release notes diff -Nru axiom-20110301a/debian/changelog axiom-20111101/debian/changelog --- axiom-20110301a/debian/changelog 2011-07-14 19:02:46.000000000 +0000 +++ axiom-20111101/debian/changelog 2012-01-11 19:47:43.000000000 +0000 @@ -1,3 +1,13 @@ +axiom (20111101-1) unstable; urgency=low + + * New upstream release + * Bug fix: "FTBFS: dpkg-buildpackage: error: dpkg-source -b + axiom-20110301a gave error exit status 2", thanks to Didier Raboud + (Closes: #643052). + * make with TESTSET=regresstests + + -- Camm Maguire Wed, 11 Jan 2012 19:47:43 +0000 + axiom (20110301a-1) unstable; urgency=low * Bug fix: "package purge (after dependencies removal) fails", thanks to diff -Nru axiom-20110301a/debian/control axiom-20111101/debian/control --- axiom-20110301a/debian/control 2010-11-06 11:48:28.000000000 +0000 +++ axiom-20111101/debian/control 2012-01-10 17:59:11.000000000 +0000 @@ -2,7 +2,7 @@ Section: math Priority: optional Maintainer: Camm Maguire -Build-Depends: debhelper ( >= 5 ), gcl ( >= 2.6.7-87 ), libgmp3-dev, libncurses5-dev, libreadline-dev, libx11-dev, libxt-dev, x11proto-core-dev, libxpm-dev, x11-common, texlive-latex-base, gawk, sharutils, ghostscript, gsfonts, libxmu-dev, libxaw7-dev, zlib1g-dev, texlive-pstricks +Build-Depends: debhelper ( >= 5 ), gcl ( >= 2.6.7-87 ), libgmp3-dev, libreadline-dev, libx11-dev, libxt-dev, x11proto-core-dev, libxpm-dev, x11-common, texlive-latex-base, gawk, sharutils, ghostscript, gsfonts, libxmu-dev, libxaw7-dev, zlib1g-dev, texlive-pstricks Standards-Version: 3.9.1 Package: axiom diff -Nru axiom-20110301a/debian/patches/debian-changes-20100701-1 axiom-20111101/debian/patches/debian-changes-20100701-1 --- axiom-20110301a/debian/patches/debian-changes-20100701-1 2010-07-26 18:16:27.000000000 +0000 +++ axiom-20111101/debian/patches/debian-changes-20100701-1 1970-01-01 00:00:00.000000000 +0000 @@ -1,49 +0,0 @@ -Description: Upstream changes introduced in version 20100701-1 - This patch has been created by dpkg-source during the package build. - Here's the last changelog entry, hopefully it gives details on why - those changes were made: - . - axiom (20100701-1) unstable; urgency=high - . - * New upstream release - * texlive-pstricks build-dep - * TESTSET:=catstests in Makefile.pamphlet to match shipped Makefile - * newer standards - . - The person named in the Author field signed this changelog entry. -Author: Camm Maguire - ---- -The information above should follow the Patch Tagging Guidelines, please -checkout http://dep.debian.net/deps/dep3/ to learn about the format. Here -are templates for supplementary fields that you might want to add: - -Origin: , -Bug: -Bug-Debian: http://bugs.debian.org/ -Bug-Ubuntu: https://launchpad.net/bugs/ -Forwarded: -Reviewed-By: -Last-Update: - ---- axiom-20100701.orig/Makefile -+++ axiom-20100701/Makefile -@@ -74,6 +74,7 @@ NOISE:="-o ${TMP}/trace" - PART:= cprogs - SUBPART:= everything - RUNTYPE:=serial -+# can be richtests, catstests, regresstests (see src/input/Makefile) - TESTSET:=catstests - - ---- axiom-20100701.orig/Makefile.pamphlet -+++ axiom-20100701/Makefile.pamphlet -@@ -453,7 +453,7 @@ PART:= cprogs - SUBPART:= everything - RUNTYPE:=serial - # can be richtests, catstests, regresstests (see src/input/Makefile) --TESTSET:=alltests -+TESTSET:=catstests - - @ - \subsection{The ENV variable} diff -Nru axiom-20110301a/debian/patches/debian-changes-20110301a-1 axiom-20111101/debian/patches/debian-changes-20110301a-1 --- axiom-20110301a/debian/patches/debian-changes-20110301a-1 2011-07-14 19:04:06.000000000 +0000 +++ axiom-20111101/debian/patches/debian-changes-20110301a-1 1970-01-01 00:00:00.000000000 +0000 @@ -1,66 +0,0 @@ -Description: Upstream changes introduced in version 20110301a-1 - This patch has been created by dpkg-source during the package build. - Here's the last changelog entry, hopefully it gives details on why - those changes were made: - . - axiom (20110301a-1) unstable; urgency=low - . - * Bug fix: "package purge (after dependencies removal) fails", thanks to - Lucas Nussbaum (Closes: #606689). Now use dh_installtex - * Bug fix: "OpenMath C library doesn't allow commercial use", thanks - to Sam Geeraerts (Closes: #630846). Removed unused library - * Bug fix: "axiom-tex should depends on texlive-binaries", thanks to - Lucas Nussbaum (Closes: #604697). Now use dh_installtex - . - The person named in the Author field signed this changelog entry. -Author: Camm Maguire -Bug-Debian: http://bugs.debian.org/604697 -Bug-Debian: http://bugs.debian.org/606689 -Bug-Debian: http://bugs.debian.org/630846 - ---- -The information above should follow the Patch Tagging Guidelines, please -checkout http://dep.debian.net/deps/dep3/ to learn about the format. Here -are templates for supplementary fields that you might want to add: - -Origin: , -Bug: -Bug-Debian: http://bugs.debian.org/ -Bug-Ubuntu: https://launchpad.net/bugs/ -Forwarded: -Reviewed-By: -Last-Update: - ---- axiom-20110301a.orig/Makefile -+++ axiom-20110301a/Makefile -@@ -139,15 +139,21 @@ all: noweb ${MNT}/${SYS}/bin/document - mkdir -p ${MNT}/${SYS}/doc/src/input ; \ - cd ${MNT}/${SYS}/doc/src/input ; \ - cp ${SRC}/scripts/tex/axiom.sty . ; \ -- for i in `ls ${SRC}/input/*.input.pamphlet` ; \ -- do latex $$i ; \ -- done ; \ -- rm -f *~ ; \ -- rm -f *.pamphlet~ ; \ -- rm -f *.log ; \ -- rm -f *.tex ; \ -- rm -f *.toc ; \ -- rm -f *.aux ) ; \ -+ for i in `ls ${SRC}/input/*.input.pamphlet` ; do \ -+ if [ .${NOISE} = . ] ; \ -+ then \ -+ latex $$i ; \ -+ else \ -+ ( echo p4a making $$i ; \ -+ latex $$i >${TMP}/trace ) ; \ -+ fi ; \ -+ done ; \ -+ rm -f *~ ; \ -+ rm -f *.pamphlet~ ; \ -+ rm -f *.log ; \ -+ rm -f *.tex ; \ -+ rm -f *.toc ; \ -+ rm -f *.aux ) ; \ - fi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ - ( echo s2 starting parallel make of books ; \ diff -Nru axiom-20110301a/debian/patches/series axiom-20111101/debian/patches/series --- axiom-20110301a/debian/patches/series 2011-07-14 19:04:06.000000000 +0000 +++ axiom-20111101/debian/patches/series 2012-01-10 18:02:47.000000000 +0000 @@ -1,2 +0,0 @@ -debian-changes-20100701-1 -debian-changes-20110301a-1 diff -Nru axiom-20110301a/debian/rules axiom-20111101/debian/rules --- axiom-20110301a/debian/rules 2011-07-14 18:55:20.000000000 +0000 +++ axiom-20111101/debian/rules 2012-01-11 15:18:00.000000000 +0000 @@ -95,7 +95,7 @@ export AXIOM=$(CURDIR)/mnt/linux ; \ export PATH=$$AXIOM/bin:$$PATH ; \ - $(MAKE) + $(MAKE) TESTSET=regresstests find mnt/linux -name bessintr.eps -exec rm {} \; find mnt/linux -name htsearch -exec chmod 755 {} \; diff -Nru axiom-20110301a/Makefile axiom-20111101/Makefile --- axiom-20110301a/Makefile 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/Makefile 2011-12-01 04:03:11.000000000 +0000 @@ -1,4 +1,4 @@ -VERSION:="Axiom (March 2011)" +VERSION:="Axiom (November 2011)" ##### special paths SPD:=$(shell pwd) @@ -74,12 +74,15 @@ PART:= cprogs SUBPART:= everything RUNTYPE:=serial -TESTSET:=catstests +# can be richtests, catstests, regresstests (see src/input/Makefile) +TESTSET:=alltests +BUILD:=full ENV:= \ AWK=${AWK} \ BOOKS=${BOOKS} \ +BUILD=${BUILD} \ BYE=${BYE} \ CC=${CC} \ CCF=${CCF} \ @@ -130,25 +133,32 @@ @ ${DOCUMENT} Makefile @ mkdir -p ${MNT}/${SYS}/doc/src @ cp Makefile.dvi ${MNT}/${SYS}/doc/src/root.Makefile.dvi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ + @ if [ "${RUNTYPE}" = "parallel" ] ; then \ ( echo p4 starting parallel make of input files ; \ ${ENV} ${MAKE} input ${NOISE} & ) ; \ else \ + if [ "${BUILD}" = "full" ] ; then \ ( echo s4 starting serial make of input files ; \ mkdir -p ${MNT}/${SYS}/doc/src/input ; \ cd ${MNT}/${SYS}/doc/src/input ; \ cp ${SRC}/scripts/tex/axiom.sty . ; \ - for i in `ls ${SRC}/input/*.input.pamphlet` ; \ - do latex $$i ; \ - done ; \ - rm -f *~ ; \ - rm -f *.pamphlet~ ; \ - rm -f *.log ; \ - rm -f *.tex ; \ - rm -f *.toc ; \ - rm -f *.aux ) ; \ + for i in `ls ${SRC}/input/*.input.pamphlet` ; do \ + if [ .${NOISE} = . ] ; \ + then \ + latex $$i ; \ + else \ + ( echo p4a making $$i ; \ + latex $$i >${TMP}/trace ) ; \ + fi ; \ + done ; \ + rm -f *~ ; \ + rm -f *.pamphlet~ ; \ + rm -f *.log ; \ + rm -f *.tex ; \ + rm -f *.toc ; \ + rm -f *.aux ) ; fi ; \ fi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ + @ if [ "${RUNTYPE}" = "parallel" ] ; then \ ( echo s2 starting parallel make of books ; \ echo s3 ${SPD}/books/Makefile from \ ${SPD}/books/Makefile.pamphlet ; \ @@ -163,9 +173,10 @@ cd ${SPD}/books ; \ ${DOCUMENT} Makefile ; \ cp Makefile.dvi ${MNT}/${SYS}/doc/src/books.Makefile.dvi ; \ - ${ENV} ${MAKE} ) ; \ + if [ "${BUILD}" = "full" ] ; then \ + ${ENV} ${MAKE} ; fi ) ; \ fi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ + @ if [ "${RUNTYPE}" = "parallel" ] ; then \ ( echo p5 starting parallel make of xhtml documents ; \ ${ENV} ${MAKE} xhtml ${NOISE} & ) ; \ else \ @@ -173,7 +184,8 @@ mkdir -p ${MNT}/${SYS}/doc/hypertex/bitmaps ; \ cd ${MNT}/${SYS}/doc/hypertex ; \ ${TANGLE} -t8 ${SPD}/books/bookvol11.pamphlet >Makefile11 ; \ - ${ENV} ${MAKE} -j 10 -f Makefile11 ; \ + if [ "${BUILD}" = "full" ] ; then \ + ${ENV} ${MAKE} -j 10 -f Makefile11 ; fi ; \ rm -f Makefile11 ) ; \ fi @ echo p7 starting make of src @@ -182,7 +194,8 @@ input: @ echo p9 making input documents - @ ( mkdir -p ${MNT}/${SYS}/doc/src/input ; \ + @ if [ "${BUILD}" = "full" ] ; then \ + ( mkdir -p ${MNT}/${SYS}/doc/src/input ; \ cd ${MNT}/${SYS}/doc/src/input ; \ cp ${SRC}/scripts/tex/axiom.sty . ; \ for i in `ls ${SRC}/input/*.input.pamphlet` ; \ @@ -193,15 +206,16 @@ rm -f *.log ; \ rm -f *.tex ; \ rm -f *.toc ; \ - rm -f *.aux ) + rm -f *.aux ) ; fi xhtml: @ echo p10 making xhtml pages @mkdir -p ${MNT}/${SYS}/doc/hypertex/bitmaps - @(cd ${MNT}/${SYS}/doc/hypertex ; \ + @ if [ "${BUILD}" = "full" ] ; then \ + (cd ${MNT}/${SYS}/doc/hypertex ; \ ${TANGLE} -t8 ${SPD}/books/bookvol11.pamphlet >Makefile11 ; \ ${ENV} ${MAKE} -j 10 -f Makefile11 ; \ - rm -f Makefile11 ) + rm -f Makefile11 ) ; fi book: @ echo 79 building the book as ${MNT}/${SYS}/doc/book.dvi diff -Nru axiom-20110301a/Makefile.pamphlet axiom-20111101/Makefile.pamphlet --- axiom-20110301a/Makefile.pamphlet 2011-03-29 05:45:31.000000000 +0000 +++ axiom-20111101/Makefile.pamphlet 2011-12-01 04:03:11.000000000 +0000 @@ -46,10 +46,11 @@ @ ${DOCUMENT} Makefile @ mkdir -p ${MNT}/${SYS}/doc/src @ cp Makefile.dvi ${MNT}/${SYS}/doc/src/root.Makefile.dvi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ + @ if [ "${RUNTYPE}" = "parallel" ] ; then \ ( echo p4 starting parallel make of input files ; \ ${ENV} ${MAKE} input ${NOISE} & ) ; \ else \ + if [ "${BUILD}" = "full" ] ; then \ ( echo s4 starting serial make of input files ; \ mkdir -p ${MNT}/${SYS}/doc/src/input ; \ cd ${MNT}/${SYS}/doc/src/input ; \ @@ -68,9 +69,9 @@ rm -f *.log ; \ rm -f *.tex ; \ rm -f *.toc ; \ - rm -f *.aux ) ; \ + rm -f *.aux ) ; fi ; \ fi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ + @ if [ "${RUNTYPE}" = "parallel" ] ; then \ ( echo s2 starting parallel make of books ; \ echo s3 ${SPD}/books/Makefile from \ ${SPD}/books/Makefile.pamphlet ; \ @@ -85,9 +86,10 @@ cd ${SPD}/books ; \ ${DOCUMENT} Makefile ; \ cp Makefile.dvi ${MNT}/${SYS}/doc/src/books.Makefile.dvi ; \ - ${ENV} ${MAKE} ) ; \ + if [ "${BUILD}" = "full" ] ; then \ + ${ENV} ${MAKE} ; fi ) ; \ fi - @ if [ "$RUNTYPE" = "parallel" ] ; then \ + @ if [ "${RUNTYPE}" = "parallel" ] ; then \ ( echo p5 starting parallel make of xhtml documents ; \ ${ENV} ${MAKE} xhtml ${NOISE} & ) ; \ else \ @@ -95,7 +97,8 @@ mkdir -p ${MNT}/${SYS}/doc/hypertex/bitmaps ; \ cd ${MNT}/${SYS}/doc/hypertex ; \ ${TANGLE} -t8 ${SPD}/books/bookvol11.pamphlet >Makefile11 ; \ - ${ENV} ${MAKE} -j 10 -f Makefile11 ; \ + if [ "${BUILD}" = "full" ] ; then \ + ${ENV} ${MAKE} -j 10 -f Makefile11 ; fi ; \ rm -f Makefile11 ) ; \ fi @ echo p7 starting make of src @@ -104,7 +107,8 @@ input: @ echo p9 making input documents - @ ( mkdir -p ${MNT}/${SYS}/doc/src/input ; \ + @ if [ "${BUILD}" = "full" ] ; then \ + ( mkdir -p ${MNT}/${SYS}/doc/src/input ; \ cd ${MNT}/${SYS}/doc/src/input ; \ cp ${SRC}/scripts/tex/axiom.sty . ; \ for i in `ls ${SRC}/input/*.input.pamphlet` ; \ @@ -115,15 +119,16 @@ rm -f *.log ; \ rm -f *.tex ; \ rm -f *.toc ; \ - rm -f *.aux ) + rm -f *.aux ) ; fi xhtml: @ echo p10 making xhtml pages @mkdir -p ${MNT}/${SYS}/doc/hypertex/bitmaps - @(cd ${MNT}/${SYS}/doc/hypertex ; \ + @ if [ "${BUILD}" = "full" ] ; then \ + (cd ${MNT}/${SYS}/doc/hypertex ; \ ${TANGLE} -t8 ${SPD}/books/bookvol11.pamphlet >Makefile11 ; \ ${ENV} ${MAKE} -j 10 -f Makefile11 ; \ - rm -f Makefile11 ) + rm -f Makefile11 ) ; fi @ @@ -379,7 +384,7 @@ changed on the command line. \section{The Environment} <>= -VERSION:="Axiom (March 2011)" +VERSION:="Axiom (November 2011)" ##### special paths SPD:=$(shell pwd) @@ -441,6 +446,7 @@ RUNTYPE:=serial # can be richtests, catstests, regresstests (see src/input/Makefile) TESTSET:=alltests +BUILD:=full @ \subsection{The ENV variable} @@ -449,6 +455,7 @@ ENV:= \ AWK=${AWK} \ BOOKS=${BOOKS} \ +BUILD=${BUILD} \ BYE=${BYE} \ CC=${CC} \ CCF=${CCF} \ diff -Nru axiom-20110301a/readme axiom-20111101/readme --- axiom-20110301a/readme 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/readme 2011-12-01 04:03:13.000000000 +0000 @@ -200,10 +200,10 @@ "William Burge" "Quentin Carpent Robert Caviness Bruce Char" "Ondrej Certik Cheekai Chin David V. Chudnovsky" -"Gregory V. Chudnovsky Josh Cohen Christophe Conil" -"Don Coppersmith George Corliss Robert Corless" -"Gary Cornell Meino Cramer Claire Di Crescenzo" -"David Cyganski" +"Gregory V. Chudnovsky James Cloos Josh Cohen" +"Christophe Conil Don Coppersmith George Corliss" +"Robert Corless Gary Cornell Meino Cramer" +"Claire Di Crescenzo David Cyganski" "Nathaniel Daly Timothy Daly Sr. Timothy Daly Jr." "James H. Davenport Didier Deshommes Michael Dewar" "Jean Della Dora Gabriel Dos Reis Claire DiCrescendo" @@ -228,9 +228,9 @@ "Gernot Hueber" "Pietro Iglio" "Alejandro Jakubi Richard Jenks" -"Kai Kaminski Grant Keady Tony Kennedy" -"Ted Kosan Paul Kosinski Klaus Kusche" -"Bernhard Kutzler" +"Kai Kaminski Grant Keady Wilfrid Kendall" +"Tony Kennedy Ted Kosan Paul Kosinski" +"Klaus Kusche Bernhard Kutzler" "Tim Lahey Larry Lambe Kaj Laurson" "Franz Lehner Frederic Lehobey Michel Levaud" "Howard Levy Liu Xiaojun Rudiger Loos" @@ -260,9 +260,9 @@ "Nick Simicich William Sit Elena Smirnova" "Jonathan Steinbach Fabio Stumbo Christine Sundaresan" "Robert Sutor Moss E. Sweedler Eugene Surowitz" -"Max Tegmark James Thatcher Balbir Thomas" -"Mike Thomas Dylan Thurston Steve Toleque" -"Barry Trager Themos T. Tsikas" +"Max Tegmark T. Doug Telford James Thatcher" +"Balbir Thomas Mike Thomas Dylan Thurston" +"Steve Toleque Barry Trager Themos T. Tsikas" "Gregory Vanuxem" "Bernhard Wall Stephen Watt Jaap Weel" "Juergen Weiss M. Weller Mark Wegman" diff -Nru axiom-20110301a/src/algebra/Makefile.pamphlet axiom-20111101/src/algebra/Makefile.pamphlet --- axiom-20110301a/src/algebra/Makefile.pamphlet 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/algebra/Makefile.pamphlet 2011-12-01 04:03:13.000000000 +0000 @@ -22,23 +22,406 @@ The first idea that you need to understand is the overall process of adding algebra code. Lets assume that you have a brand new spad -file, called [[foo.spad]] containing a simple domain [[BAR]]. The +file, called bsd.spad containing a simple domain BSD. The steps in the process of adding this file are: \begin{enumerate} \item Find out where the algebra code lives in the lattice. - -You do this by \begin{enumerate} -\item starting a new interpsys session -\item collecting all the names of the algebra files BAR requires -\item determining which layer each of the required files resides -\item determine the highest layer (e.g. 14) that contains the required files +\item Start a new interpsys session. This will give you a clean build. +\item )set mes auto on -- This will allow us to see what algebra files +get loaded during compile +\item )co BAR.spad +\item We collect all the names of the algebra files BSD loaded. Look for +lines that say a file is loaded. Collect all of the names of those files. +\item For each of the loaded files determine which layer contains the +loaded file by searching this file. For instance, if BAR.spad required +FSAGG then look for /FSAGG.o, which resides in layer 13. +\item Determine the highest layer (e.g. 13) that contains the required files +and add the new algebra file (e.g. BSD.o) in the next layer (e.g. 14). +\item Next we need to create the graph structure information. This involves +creating a two part stanza of information. For instance, +\begin{verbatim} +"BSD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BSD", + shape=ellipse] +/*"BSD" -> {"ORDSET"; "SETCAT"; "BASTYPE"; "KOERCE"; "KONVERT"; "INT"}*/ +/*"BSD" -> {"DIAGG"; "DIOPS"; "BGAGG"; "HOAGG"; "AGG"; "TYPE"; "EVALAB"}*/ +/*"BSD" -> {"IEVALAB"; "CLAGG"; "SETAGG"; "FINITE"; "OM"; "PATMAB"}*/ +"BSD" -> "FSAGG" +\end{verbatim} +\item The first part determines the color, shape of the graph node, +and a link to the book containing the source code. The color and name +of the book are related: +\begin{enumerate} +\item \#4488FF == bookvol10.2 +\item \#88FF44 == bookvol10.3 +\item \#FF4488 == bookvol10.4 +\item \#444488 == bookvol10.5 \end{enumerate} - -\item insert the documentation into the next layer (e.g. 15) -\item insert the [[\${OUT}/BAR.o]] file into the layer's file list +\item The second part is the graph structure. All of the loaded algebra +files are listed (currently as comments due to the size of the complete +graph). In particular, the node that ``supports'' BSD is FSAGG so we +make sure that the graph edge \verb|"BSD" -> "FSAGG"| is uncommented. +\end{enumerate} +\item Insert the documentation after the layer (e.g after layer 14). +This documentation is used to reconstruct the full and partial graphs. +\item Insert the \verb|${OUT}/BSD.o| file into the layer's file list. This +will cause the algebra to build after all of the algebra it depends on is +built. +\item Add the algebra to the books \end{enumerate} +\section{Adding the algebra to the proper book} +The algebra sources are in 4 books: +\begin{itemize} +\item bookvol10.2 == Category +\item bookvol10.3 == Domain +\item bookvol10.4 == Package +\item bookvol10.5 == Numeric +\end{itemize} +The algebra in these files is structured slightly differently for each +one. Follow the directions for the kind of algebra you are adding. +\subsection{Adding a Category} +\subsection{Adding a Domain} +In the Domains book we see that each domain is in alphabetic order by +the {\bf full domain name}, not by the abbreviation. So for BSD we see +several parts. +\subsubsection{The section separator} +This gives a visual and logical separation for each domain. +\begin{verbatim} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{domain BSD BasicStochasticDifferential} +\end{verbatim} + +\subsubsection{The input section} +This is a standard input file format. It will be extracted from the book +during the testing process so we can keep the test cases with the domain. +The --R lines are the commented output of actually running the functions. +Note that ``--'' is the comment character in Axiom. The ``regress'' function +will run the code and then compare the actual output with the lines marked +``--R'' and report any differences. + +You can create this file by: +\begin{itemize} +\item Start Axiom +\item make a bsd.input file with all of your algebra tests +\item )co BSD -- compile your algebra to make sure it is up to date +\item )spool BSD.output -- this will put all output into a file +\item )read bsd -- this will read the tests and the output will be +stored in BSD.output +\item Modify the BSD.output file to have the same format using +``--S n of N'' to start the test, ``--R'' to prefix the actual output, +and ``--E n'' to end the test. +\item save the test as bsdtest.input +\item Validate the newly formatted test file (bsdtest.input): +\begin{itemize} +\item start a new Axiom +\item )co BSD -- compile your new algebra +\item )read bsdtest.input -- BE SURE to use the new test file format. +If you did it right it will create a new file called +BasicStochasticDifferential.output +\item )lisp (regress "BasicStochasticDifferential.output") -- this will +run the regress function which compares the actual output with the +expected output and reports success or failure. +\item fix up failures and repeat until none remain +\item add the contents of bsdtest.input to the algebra file +\end{itemize} +\end{itemize} + +\subsubsection{The input section} +Here we use BasicStochasticDifferential.output to create a set of test +cases. These are automatically extracted as part of the build process +by the function ``makeInputFiles''. This function is in the tangle.lisp file. +\begin{verbatim} +>= +)set break resume +)sys rm -f BasicStochasticDifferential.output +)spool BasicStochasticDifferential.output +)set message test on +)set message auto off +)clear all +--S 1 of 2 +q := D(p, x) +--R +--R +--R __ +--R (6) 0.1x + 0.10 +--R Type: Polynomial BinaryExpansion +--E 1 + +--S 2 of 2 +g := gcd(p, q) +--R +--R +--R __ +--R (7) x + 1.01 +--R Type: Polynomial BinaryExpansion +--E 2 + +)spool +)lisp (bye) + @ +\end{verbatim} + +\subsubsection{The help section} +This section becomes a help file in the distributed Axiom system. +This section is automatically extracted as part of the build process +by the function ``makeHelpFiles''. This function is in the tangle.lisp file. +The help section gets typed out when the user types: +\begin{verbatim} +)help BasicStochasticDifferential +\end{verbatim} +\begin{verbatim} +>= +==================================================================== +BasicStochasticDifferential examples +==================================================================== +All rational numbers have repeating binary expansions. Operations to +access the individual bits of a binary expansion can be obtained by +converting the value to RadixExpansion(2). More examples of +expansions are available with + +The expansion (of type BinaryExpansion) of a rational number is +returned by the binary operation. + + r := binary(22/7) + ___ + 11.001 + Type: BinaryExpansion + +Arithmetic is exact. + + r + binary(6/7) + 100 + Type: BinaryExpansion + +See Also: +o )help BasicStochasticDifferential +o )help HexadecimalExpansion +o )show BasicStochasticDifferential + + @ +\end{verbatim} + +\subsubsection{The pagehead section} +Next we create the format information for the book itself. This will +control the display of the new algebra in the book. The ``pagehead'' +macro formats a new section for this algebra and adds it to the proper +indexing and other housekeeping sections. + +The ``pagepic'' creates a graph image inline showing the subgraph +containing this algebra from the full graph. This information is kept +in this file (see the graph subsection below). The ``1.00'' is a +scaling factor for the graph. + +The ``pageto'' macro inserts HTML anchors into the PDF file so there +is a way to navigate to algebra that is ``above'' this domain in the +graph. There can be multiple pageto macros. + +The ``pagefrom'' macro inserts HTML anchors into the PDF file so there +is a way to navigate to algebra that is ``below'' this domain in the +graph. There can be multiple pagefrom macros. + +Together these two macros, pageto and pagefrom, allow the user to +follow the thread of domains in the PDF documentation. +\begin{verbatim} +\pagehead{BasicStochasticDifferential}{BSD} +\pagepic{ps/v103basicstochasticdifferential.ps}{BSD}{1.00} +{\bf See}\\ +\pageto{HexadecimalExpansion}{HEXADEC} +\end{verbatim} + +\subsubsection{The Exports section} +This shows the same information as the ``)show'' function in a running +Axiom. The ``cross'' macro adds information to the index to cross reference +the domain and the functions. +\begin{verbatim} +{\bf Exports:}\\ +\begin{tabular}{lll} +\cross{BSD}{0} & +\cross{BSD}{1} & +\cross{BSD}{abs} \\ +\cross{BSD}{associates?} & +\cross{BSD}{binary} & +\cross{BSD}{ceiling} \\ +\cross{BSD}{characteristic} +\end{tabular} +\end{verbatim} + +\subsubsection{The Code section} +This is the actual algebra. Note that the ``++'' comments from the +description section are available at runtime using the ``)describe'' +command. They have certain format limitations so be sure to check +this in the final system. + +The signatures have comments. If the comments are broken into two +parts and the lines of the second part of the comment start with +``++X'' then these will be typed out as part of the output of the +command ``)d op''. For instance, in the code below for the ``introduce!'' +function the comments read: +\begin{verbatim} + introduce!: (Symbol,Symbol) -> Union(%, "failed") + ++ introduce!(X,dX) returns \axiom{dX} as \axiom{BSD} if it + ++ isn't already in \axiom{BSD} + ++ + ++X introduce!(t,dt) +\end{verbatim} +When we type ``)d op introduce!'' in a running Axiom we will see the +example text: +\begin{verbatim} + introduce!(t,dt) +\end{verbatim} +\begin{verbatim} +>= +)abbrev domain BSD BasicStochasticDifferential +++ Basic Operations: introduce!, copyBSD, copyIto, getSmgl +++ Related Domains: StochasticDifferential(R) +++ Also See: +++ AMS Classifications: +++ Keywords: stochastic differential, semimartingale. +++ Examples: +++ References: +++ Ito (1975), Kendall (1991a,b; 1993a,b; 1999a,b). +++ Description: +++ Based on Symbol: a domain of symbols +++ representing basic stochastic differentials, used +++ in StochasticDifferential(R) in the underlying +++ sparse multivariate polynomial representation. +++ +++ We create new BSD only by coercion from Symbol +++ using a special function introduce! first of all to +++ add to a private set SDset. We allow a separate +++ function convertIfCan which will check whether the +++ argument has previously been declared as a BSD. +BasicStochasticDifferential(): Category == Implementation where + INT ==> Integer + OF ==> OutputForm + Category ==> OrderedSet with + ConvertibleTo(Symbol) + + convertIfCan: Symbol -> Union(%, "failed") + ++ convertIfCan(ds) transforms \axiom{dX} into a \axiom{BSD} + ++ if possible (if \axiom{introduce(X,dX)} has + ++ been invoked previously). + + convert: Symbol -> % + ++ convert(dX) transforms \axiom{dX} into a \axiom{BSD} + ++ if possible and otherwise produces an error. + + introduce!: (Symbol,Symbol) -> Union(%, "failed") + ++ introduce!(X,dX) returns \axiom{dX} as \axiom{BSD} if it + ++ isn't already in \axiom{BSD} + + d: Symbol -> Union(%,INT) + ++ d(X) returns \axiom{dX} if \axiom{tableIto(X)=dX} + ++ and otherwise returns \axiom{0} + + copyBSD:() -> List % + ++ copyBSD() returns \axiom{setBSD} as a list of \axiom{BSD}. + copyIto:() -> Table(Symbol,%) + ++ copyIto() returns the table relating semimartingales + ++ to basic stochastic differentials. + getSmgl: % -> Union(Symbol,"failed") + ++ getSmgl(bsd) returns the semimartingale \axiom{S} related + ++ to the basic stochastic differential \axiom{bsd} by + ++ \axiom{introduce!} + + Implementation ==> Symbol add + + Rep := Symbol + + setBSD := empty()$Set(Symbol) + tableIto:Table(Symbol,%) := table() + tableBSD:Table(%,Symbol) := table() + + convertIfCan(ds:Symbol):Union(%,"failed") == + not(member?(ds,setBSD)) => "failed" + ds::% + + convert(ds:Symbol):% == + (du:=convertIfCan(ds)) + case "failed" => + print(hconcat(ds::Symbol::OF, + message(" is not a stochastic differential")$OF)) + error "above causes failure in convert$BSD" + du + + introduce!(X,dX) == + member?(dX,setBSD) => "failed" + insert!(dX,setBSD) + tableBSD(dX::%) := X + tableIto(X) := dX::% + + d(X) == + search(X,tableIto) case "failed" => 0::INT + tableIto(X) + + copyBSD() == [ds::% for ds in members(setBSD)] + copyIto() == tableIto + getSmgl(ds:%):Union(Symbol,"failed") == tableBSD(ds) +\end{verbatim} + +\subsubsection{The dotabb section} +This section is used to create the ``ps/v103basicstochasticdifferential.ps'' +graph image used above. The actual code used is kept here so we can modify +or reproduce the result. The first line is the current domain. The second +line is the domain, category, or package that ``supports'' this domain +in the previous layer. These three lines are create the subgraph of the +main algebra graph. +\begin{verbatim} +>= +"BSD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BSD", + shape=ellipse] +"FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] +"BSD" -> "FSAGG" + +@ +\end{verbatim} +In order to actually create the graph this code gets wrapped with the +graphviz information. So you pick up the above lines and insert them +into a file surrounded by the graphviz commands as in: +\begin{verbatim} +digraph pic { + fontsize=10; + bgcolor="#FFFF66"; + node [shape=box, color=white, style=filled]; + +"BSD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BSD", + shape=ellipse] +"FSAGG" [color="#4488FF",href="bookvol10.2.pdf#nameddest=FSAGG"] +"BSD" -> "FSAGG" + +} +\end{verbatim} +Save this in a file, say bsd.dot. +To create the correct postscript file use the command: +\begin{verbatim} + dot -Tps bsd.dot >ps/v103basicstochasticdifferential.ps +\end{verbatim} +Notice that the output goes into a ps subdirectory. It is named +with the v103 prefix, meaning it is intended for volume 10.3. + +The REGRESS table contains the names of all of the regression +files. These are the test case files we constructed for the +algebra. Putting a chunk name in this table will extract the test +case, run it, and run regression testing on it looking for +failures. The naming convention is the same as the .input file but +uses .regress so the Makefile regression stanza is invoked. So, for +our example, we need to add +\begin{verbatim} + BasicStochasticDifferential.regress +\end{verbatim} + +We must also add the domain to the \verb|$globalExposureGroupAlist| +in the interpreter (book volume 5). This is a lisp cons structure +where the CAR is the domain name and the CDR is the domain abbreviation. +So we add the line: +\begin{verbatim} + (|BasicStochasticDifferential| . BSD) +\end{verbatim} + +\subsection{Adding a Package} +\subsection{Adding Numerics} + \section{Rebuilding the algebra from scratch} Compile order is important. Here we try to define the ordered lattice of spad file dependencies. However this is, in reality, a graph rather @@ -92,7 +475,7 @@ <>= digraph pic { fontsize=10; - bgcolor="#FFFF66"; + bgcolor="\#FFFF66"; node [shape=box, color=white, style=filled]; ranksep=3.0; /* nodsep=inches */ @@ -100,13 +483,13 @@ /* ratio=auto */ /* page="x,y" */ /* generates multipage layout */ /* margin=0 */ -"Category" [color="#4488FF"] +"Category" [color="\#4488FF"] "Category" -> "." -"Domain" [color="#88FF44"] +"Domain" [color="\#88FF44"] "Domain" -> "." -"Package" [color="#FF4488"] +"Package" [color="\#FF4488"] "Package" -> "." @ @@ -127,11 +510,11 @@ up to the student. The bootstrap process works because first we ask for the compiled -lisp code stanzas (the [[\${MID}/BAR.o]] files), THEN we ask for -the final algebra code stanzas (the [[\${OUT}/BAR.o]] files). This +lisp code stanzas (the \verb|\${MID}/BAR.o| files), THEN we ask for +the final algebra code stanzas (the \verb|\${OUT}/BAR.o| files). This is a very subtle point so think it through carefully. Notice that -this is the only layer calling for [[\${MID}]] files. All other -layers call for [[\${OUT}]] files. If you break this the world +this is the only layer calling for \verb|\${MID}| files. All other +layers call for \verb|\${OUT}| files. If you break this the world will no longer compile so don't change it if you don't understand it. \begin{verbatim} @@ -2398,7 +2781,7 @@ /*"BFUNCT" -> {"EUCDOM-"; "UFD-"; "GCDDOM-"; "DIVRING-"; "INTDOM-"}*/ /*"BFUNCT" -> {"ALGEBRA-"; "DIFRING-"; "ORDRING-"; "INT"}*/ -"BLAS1" [color="#FF4488",href="bookvol10.5.pdf#nameddest=BLAS1"] +"BLAS1" [color="#444488",href="bookvol10.5.pdf#nameddest=BLAS1"] /*"BLAS1" -> {"FPS" "RNS"}*/ "BLAS1" -> "FIELD" /*"BLAS1" -> {"EUCDOM" "PID" "GCDDOM" "INTDOM" "COMRING" "RING" "RNG"}*/ @@ -9734,6 +10117,7 @@ <>= LAYER14=\ + ${OUT}/BSD.o \ ${OUT}/CCLASS.o ${OUT}/CPIMA.o ${OUT}/FSAGG2.o ${OUT}/GALFACT.o \ ${OUT}/IALGFACT.o ${OUT}/IBACHIN.o ${OUT}/MMLFORM.o ${OUT}/NORMMA.o \ ${OUT}/ODERED.o ${OUT}/OMSAGG.o ${OUT}/PERM.o ${OUT}/PERMGRP.o \ @@ -9748,6 +10132,13 @@ /* layer 14 */ /* depends on: FSAGG KDAGG MSETAGG MONOGEN */ +"BSD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=BSD", + shape=ellipse] +/*"BSD" -> {"ORDSET"; "SETCAT"; "BASTYPE"; "KOERCE"; "KONVERT"; "INT"}*/ +/*"BSD" -> {"DIAGG"; "DIOPS"; "BGAGG"; "HOAGG"; "AGG"; "TYPE"; "EVALAB"}*/ +/*"BSD" -> {"IEVALAB"; "CLAGG"; "SETAGG"; "FINITE"; "OM"; "PATMAB"}*/ +"BSD" -> "FSAGG" + "CHAR" [color="#88FF44",href="bookvol10.3.pdf#nameddest=CHAR", shape=ellipse] /*"CHAR" -> {"ORDFIN"; "ORDSET"; "SETCAT"; "BASTYPE"; "KOERCE"; "FINITE"}*/ @@ -12449,7 +12840,7 @@ ${OUT}/PSETPK.o \ ${OUT}/QUAT.o ${OUT}/QUATCT2.o ${OUT}/RADFF.o ${OUT}/RDEEF.o \ ${OUT}/RDEEFS.o ${OUT}/RDIV.o ${OUT}/RSETCAT.o ${OUT}/RSETCAT-.o \ - ${OUT}/RSETGCD.o ${OUT}/RULE.o ${OUT}/RULESET.o \ + ${OUT}/RSETGCD.o ${OUT}/RULE.o ${OUT}/RULESET.o ${OUT}/SD.o \ ${OUT}/SIGNEF.o ${OUT}/SIMPAN.o ${OUT}/SFORT.o ${OUT}/SOLVESER.o \ ${OUT}/SOLVETRA.o ${OUT}/SUMFS.o ${OUT}/SUTS.o ${OUT}/TOOLSIGN.o \ ${OUT}/TRIGMNIP.o ${OUT}/TRMANIP.o ${OUT}/UFPS.o ${OUT}/ULSCCAT.o \ @@ -14806,6 +15197,25 @@ /*"RULESET" -> {"ILIST"; "FSAGG"; "DIAGG"; "DIOPS"; "BGAGG"; "HOAGG"}*/ /*"RULESET" -> {"AGG"; "CLAGG"; "SETAGG"; "FINITE"}*/ +"SD" [color="#88FF44",href="bookvol10.3.pdf#nameddest=SD", + shape=ellipse] +/*"SD" -> {"RNG"; "ABELGRP"; "CABMON"; "ABELMON"; "ABELSG"; "SETCAT"}*/ +/*"SD" -> {"BASTYPE"; "KOERCE"; "SGROUP"; "MODULE"; "BMODULE"; "LMODULE"}*/ +/*"SD" -> {"RMODULE"; "RETRACT"; "ES"; "ORDSET"; "IEVALAB"; "EVALAB"}*/ +/*"SD" -> {"PATAB"; "KONVERT"; "FPATMAB"; "TYPE"; "PATMAB"; "FRETRCT"}*/ +/*"SD" -> {"MONOID"; "GROUP"; "RING"; "PDRING"; "FLINEXP"; "LINEXP"}*/ +/*"SD" -> {"CHARZ"; "CHARNZ"; "ALGEBRA"; "FIELD"; "EUCDOM"; "PID"}*/ +/*"SD" -> {"GCDDOM"; "INTDOM"; "COMRING"; "ENTIRER"; "UFD"; "DIVRING"}*/ +/*"SD" -> {"NNI"; "INT"; "LIST"; "ILIST"; "LSAGG-"; "STAGG-"; "ELAGG-"}*/ +/*"SD" -> {"FLAGG-"; "URAGG-"; "LNAGG-"; "RCAGG-"; "IXAGG-"; "CLAGG-"}*/ +/*"SD" -> {"HOAGG-"; "ORDSET-"; "AGG-"; "ELTAGG-"; "SETCAT-"}*/ +/*"SD" -> {"BASTYPE-"; "LSAGG"; "STAGG"; "URAGG"; "RCAGG"; "HOAGG"}*/ +/*"SD" -> {"AGG"; "LNAGG"; "IXAGG"; "ELTAGG"; "ELTAB"; "CLAGG"}*/ +/*"SD" -> {"FLAGG"; "ELAGG"; "OM"; "PI"; "SYMBOL"; "REF"; "ALIST"}*/ +/*"SD" -> {"STRING"; "CHAR"; "SINT"; "OUTFORM"; "PRIMARR"; "A1AGG-"}*/ +/*"SD" -> {" ISTRING"; "SRAGG";-" BOOLEAN"; "BSD"}*/ +"SD" -> "FS" + "SIGNEF" [color="#FF4488",href="bookvol10.4.pdf#nameddest=SIGNEF"] /*"SIGNEF" -> {"INTDOM"; "COMRING"; "RING"; "RNG"; "ABELGRP"; "CABMON"}*/ /*"SIGNEF" -> {"ABELMON"; "ABELSG"; "SETCAT"; "BASTYPE"; "KOERCE"; "SGROUP"}*/ @@ -16527,15 +16937,23 @@ @ \subsection{Order} -The final order of the layers is determined here. -<>= - +The final order of the layers is determined here. The GUESS package +is broken so we remove the layers involved until this can be resolved. +\begin{verbatim} ORDER=\ ${LAYER0BOOTSTRAP} ${LAYER0} ${LAYER1} ${LAYER2} ${LAYER3} \ ${LAYER4} ${LAYER5} ${LAYER6} ${LAYER7} ${LAYER8} ${LAYER9} \ ${LAYER10} ${LAYER11} ${LAYER12} ${LAYER13} ${LAYER14} ${LAYER15} \ ${LAYER16} ${LAYER17} ${LAYER18} ${LAYER19} ${LAYER20} ${LAYER21} \ ${LAYER22} ${LAYER23} ${LAYER0COPY} +\end{verbatim} +<>= + +ORDER=\ + ${LAYER0BOOTSTRAP} ${LAYER0} ${LAYER1} ${LAYER2} ${LAYER3} \ + ${LAYER4} ${LAYER5} ${LAYER6} ${LAYER7} ${LAYER8} ${LAYER9} \ + ${LAYER10} ${LAYER11} ${LAYER12} ${LAYER13} ${LAYER14} ${LAYER15} \ + ${LAYER16} ${LAYER17} ${LAYER18} ${LAYER19} ${LAYER0COPY} @ \section{Cliques} @@ -16633,7 +17051,7 @@ directory. When invoked as ``make document'' we construct the .dvi files in the{\bf DOC} directory. -The [[OUTSRC=${MNT}/${SYS}/src/algebra]] subdirectory contains the +The \verb|OUTSRC=${MNT}/${SYS}/src/algebra| subdirectory contains the algebra source files extracted from the pamphlet files. These sources allow the end user to change the algebra if needed. @@ -16646,6 +17064,7 @@ OUTSRC=${MNT}/${SYS}/src/algebra INPUT=${INT}/input LISP=${OBJ}/${SYS}/bin/lisp +LISPTANGLE=${OBJ}/${SYS}/bin/lisp BOOKSRC=${SPD}/books/bookvol5.pamphlet @ @@ -16678,20 +17097,20 @@ @ \section{The Makefile Stanzas} -A [[spad]] pamphlet can contain many Axiom [[categories]], [[domains]], and -[[packages]]. +A spad pamphlet can contain many Axiom categories, domains, and +packages. For the purpose of explanation we assume that the pamphlet file is -named [[foo.spad.pamphlet]]. It contains the domains [[BAR]], [[BAX]], -and [[BAZ]]. Thus there will be a subsection named [[foo.spad]]. +named foo.spad.pamphlet. It contains the domains BAR, BAX, +and BAZ. Thus there will be a subsection named foo.spad. -Since pamphlet files (e.g. [[foo.spad.pamphlet]] contain a spad file -e.g. [[foo.spad]], it follows that every subsection contains a Makefile -stanza that extract the [[foo.spad]] file using [[notangle]]. +Since pamphlet files (e.g. foo.spad.pamphlet contain a spad file +e.g. foo.spad, it follows that every subsection contains a Makefile +stanza that extract the foo.spad file using notangle. Since pamphlet files are intended as documents it follows that each -subsection contains a Makefile stanza that extracts a [[dvi]] file -using [[noweave]]. +subsection contains a Makefile stanza that extracts a dvi file +using noweave. We could have a category, domain, or package that is in the ``bootstrap'' list. Bootstrap spad files contain their generated @@ -16713,27 +17132,27 @@ A 5 stanza group for this case performs the following functions: \begin{enumerate} -\item extract the lisp [[BAR.lsp]] from the pamphlet [[foo.spad.pamphlet]] +\item extract the lisp BAR.lsp from the pamphlet foo.spad.pamphlet \item compile and copy the bootstrap lisp to the final algebra directory -\item extract the bootstrap [[BAR.lsp]] from the spad file [[foo.spad]] -\item compile the extracted [[BAR]] domain -\item copy the compiled [[BAR]] to the final algebra directory +\item extract the bootstrap BAR.lsp from the spad file foo.spad +\item compile the extracted BAR domain +\item copy the compiled BAR to the final algebra directory \end{enumerate} The subtle point here occurs in the first item. The bootstrap code -group (in the [[layer0 bootstrap]] code chunk above) asks for the -compiled [[.o]] files in the [[\${MID}]] directory. Essentially this +group (in the layer0 bootstrap code chunk above) asks for the +compiled ``.o'' files in the \verb|\${MID}| directory. Essentially this code group calls for intermediate compiled files. This triggers the bootstrap stanzas (items 1 and 2 above). All of the other layer -chunks ask for compiled code in the [[\${OUT}]] directory which is +chunks ask for compiled code in the \verb|\${OUT}| directory which is the final algebra directory. The bootstrap process works because first we ask for the compiled -lisp code stanzas (the [[\${MID}/BAR.o]] files), THEN we ask for -the final algebra code stanzas (the [[\${OUT}/BAR.o]] files). This +lisp code stanzas (the \verb|\${MID}/BAR.o| files), THEN we ask for +the final algebra code stanzas (the \verb|\${OUT}/BAR.o| files). This is a very subtle point so think it through carefully. The layer0 -bootstrap list is the only file list that calls for [[\${MID}]] files. -All other layers ask for [[\${OUT}]] files. Make sure you +bootstrap list is the only file list that calls for \verb|\${MID}| files. +All other layers ask for \verb|\${OUT}| files. Make sure you understand this before you change things. If you break it the world will no longer compile. @@ -16746,19 +17165,19 @@ A 9 stanza group for this case performs the following functions: \begin{enumerate} -\item extract the bootstrap [[BAR.lsp]] from the [[foo.spad.pamphlet]] -\item compile the bootstrap [[BAR.lsp]] and copy to the intermediate directory -\item extract the bootstrap [[BAR-.lsp]] from the [[foo.spad.pamphlet]] -\item compile the bootstrap [[BAR-.lsp]] and copy to intermediate directory -\item extract the spad [[BAR.spad]] from the pamphlet [[foo.spad.pamphlet]] -\item compile the extracted [[BAR.spad]] domain (to get [[BAR.o]]) -\item copy the [[BAR.o]] to the final algebra directory -\item compile the extracted [[BAR.spad]] domain (to get [[BAR-.o]]) -\item copy the [[BAR-.o]] to the final algebra directory +\item extract the bootstrap BAR.lsp from the foo.spad.pamphlet +\item compile the bootstrap BAR.lsp and copy to the intermediate directory +\item extract the bootstrap BAR-.lsp from the foo.spad.pamphlet +\item compile the bootstrap BAR-.lsp and copy to intermediate directory +\item extract the spad BAR.spad from the pamphlet foo.spad.pamphlet +\item compile the extracted BAR.spad domain (to get BAR.o) +\item copy the BAR.o to the final algebra directory +\item compile the extracted BAR.spad domain (to get BAR-.o) +\item copy the BAR-.o to the final algebra directory \end{enumerate} As you can see this is just the combination of the two possible 5 -stanza case. We just have to deal with the [[BAR-]] both in regular +stanza case. We just have to deal with the BAR- both in regular and bootstrap files. The first four stanzas will only happen when the system is built from scratch. Once the system is built these four rules no longer apply and these stanzas effectively act like @@ -16771,13 +17190,13 @@ \begin{verbatim} IF (you have a regular spad domain) THEN use a 3 stanza form (see YSTREAM) -IF (you have a default spad domain (it generates [[-]] files)) AND +IF (you have a default spad domain (it generates ``-'' files)) AND (it does not require bootstrapping) THEN use the first 5 stanza form explained above (see LIECAT) IF (you have a normal spad domain) AND (it requires bootstrapping) THEN use the second 5 stanza form explained above (see VECTOR) -IF (you have a default spad domain (it generates [[-]] files)) AND +IF (you have a default spad domain (it generates ``-'' files)) AND (it requires bootstrapping) THEN use the 9 stanza form explained above (see TSETCAT) \end{verbatim} @@ -16787,7 +17206,7 @@ This Makefile works very hard to cache intermediate results in order to minimize the re-build time. The cached -files are kept in the [[int]] or [[obj]] directories. If one of these +files are kept in the int or obj directories. If one of these files disappears but the original pamphlet file is unchanged we only need to rebuild the intermediate file. These rule will attempt to do that and they succeed however these are intermediate files created by @@ -16887,18 +17306,16 @@ <> @ -There are, at present, 3 kinds of algebra files to be handled. -First we have [[.as]] files which use the [[aldor]] compiler. -These are ignored here as the compiler is not yet integrated. +There are, at present, 2 kinds of algebra files to be handled. -Second, there are the bootstrap files. These files live within +There are the bootstrap files. These files live within their respective pamphlet files and are "captured" lisp code. These are necessary to create the algebra. See the -[[src/algebra/Makefile.pamphlet]] for details. +src/algebra/Makefile.pamphlet for details. -Third, there are 3 "types" of algebra which are all treated -the same at compile time, namely the "domain", "category", and -"package" algebra. +Second, there are 3 ``types'' of algebra which are all treated +the same at compile time, namely the ``domain'', ``category'', and +``package'' algebra. \subsection{Finding the algebra code} Step 1 is to scan all of the algebra pamphlet files for the @@ -16908,99 +17325,137 @@ extended regular expressions allows the use of alternatives written as (domain|package|category). Thus the command \begin{verbatim} - grep -E '@<<(domain|package|category) .*>>=' *.pamphlet + grep -E '\\begin{chunk}{(domain|package|category)\ .*}' *.pamphlet \end{verbatim} will scan the algebra files looking for special chunknames. Axiom's chunk names are written in a stylized form so that each algebra chunk name begins with one of those three symbols. Thus in bookvol10.3.pamphlet the LexTriangularPackage chunkname is: \begin{verbatim} -@<> + begin{chunk}{package LEXTRIPK LexTriangularPackage} \end{verbatim} so this grep will generate an output line, prefixed by the filename that looks like: \begin{verbatim} -bookvol10.3.pamphlet:@<>= +bookvol10.3.pamphlet:begin{chunk}{package LEXTRIPK LexTriangularPackage} \end{verbatim} There can be many lines of output per pamphlet file, one for each domain, package and category cod chunk contained in the file. +The results are sorted and made unique. -Step 2 is an [[awk]] command line. +Step 2 is an awk command line. \subsection{Write the Makefile stanzas for the algebra files} <>= -grep -E '@<<(domain|package|category) .*>>=' *.pamphlet | sort | uniq | \ -awk -F: '{ - chunk=substr($2,3,length($2)-5); +grep -E 'begin{chunk}{category\ .*}' ${BOOKS}/bookvol10.2.pamphlet | sort | uniq | awk -F: '{ + chunk=substr($1,15,length($1)-15); + split(chunk,part," "); + spadfile="${MID}/"part[2]".spad"; + print spadfile": ${BOOKS}/bookvol10.2.pamphlet"; + print " @echo \x27(tangle \"${BOOKS}/bookvol10.2.pamphlet\" \""chunk"\" \""part[2]".spad\")\x27 | ${LISPTANGLE} "; + print ""; +}' + +grep -E 'begin{chunk}{domain\ .*}' ${BOOKS}/bookvol10.3.pamphlet | sort | uniq | awk -F: '{ + chunk=substr($1,15,length($1)-15); + split(chunk,part," "); + spadfile="${MID}/"part[2]".spad"; + print spadfile": ${BOOKS}/bookvol10.3.pamphlet"; + print " @echo \x27(tangle \"${BOOKS}/bookvol10.3.pamphlet\" \""chunk"\" \""part[2]".spad\")\x27 | ${LISPTANGLE} "; + print ""; +}' + +grep -E 'begin{chunk}{package\ .*}' ${BOOKS}/bookvol10.4.pamphlet | sort | uniq | awk -F: '{ + chunk=substr($1,15,length($1)-15); split(chunk,part," "); spadfile="${MID}/"part[2]".spad"; - print spadfile": ${IN}/"$1; - print "\t@${TANGLE} -R\""chunk"\" ${IN}/"$1">"spadfile; + print spadfile": ${BOOKS}/bookvol10.4.pamphlet"; + print " @echo \x27(tangle \"${BOOKS}/bookvol10.4.pamphlet\" \""chunk"\" \""part[2]".spad\")\x27 | ${LISPTANGLE} "; + print ""; +}' + +grep -E 'begin{chunk}{package\ .*}' ${BOOKS}/bookvol10.5.pamphlet | sort | uniq | awk -F: '{ + chunk=substr($1,15,length($1)-15); + split(chunk,part," "); + spadfile="${MID}/"part[2]".spad"; + print spadfile": ${BOOKS}/bookvol10.5.pamphlet"; + print " @echo \x27(tangle \"${BOOKS}/bookvol10.5.pamphlet\" \""chunk"\" \""part[2]".spad\")\x27 | ${LISPTANGLE} "; print ""; }' @ -[awk] processes each line of the [[grep]] output. +awk processes each line of the grep output. -The awk script uses [[-F:]] which is a flag that says that a [[:]] is +The awk script uses ``-F:'' which is a flag that says that a ``:'' is the field separator. As a result the \$1 and \$2 in the awk script refer to the parts of the grep output that come before and after the -[[:]] respectively. +``:'' respectively. -The variable [[chunk]] is assigned the actual chunk name minus -the @<< and >>= delimiters. In the example given above this will become +The variable ``chunk'' is assigned the actual chunk name minus +the '\verb|\begin{chunk}{|' and '\verb|}|' delimiters. +In the example given above this will become \begin{verbatim} package LEXTRIPK LexTriangularPackage \end{verbatim} -The call to [[split]] splits the chunk into parts separated +The call to ``split'' splits the chunk into parts separated by spaces. Thus \begin{verbatim} part[1]=package part[2]=LEXTRIPK part[3]=LexTriangularPackage \end{verbatim} -The variable [[spadfile]] in the above example is set to +The variable ``spadfile'' in the above example is set to \begin{verbatim} ${MID}/LEXTRIPK.spad \end{verbatim} Finally, in the domain example given above we print two lines. The first line is the Makefile stanza header which depends on the -original [[zerodim.spad.pamphlet]] file. +original ``zerodim.spad.pamphlet'' file. The second line is the body of the makefile stanza which calls notangle to extract the algebra from the original pamphlet using the chunk name and writes it to the intermediate subdirectory. In -the case above this would resolve to [[\${MID}/LEXTRIPK.spad]]. +the case above this would resolve to \verb|\${MID}/LEXTRIPK.spad|. For the line given above it outputs the following: \begin{verbatim} ${MID}/LEXTRIPK.spad: ${IN}/bookvol10.3.pamphlet - ${TANGLE} -R"package LEXTRIPK LexTriangularPackage" ${IN}/bookvol10.3.pamphlet > ${MID}/LEXTRIPK.spad + echo '(tangle "bookvol10.4.pamphlet" "package LEXTRIPK LexTrianglularPackage" "LEXTRIPK.spad")' | ${LISPTANGLE} \end{verbatim} \subsection{Find the algebra bootstrap code} Step 3 works like step 1 above except that we are looking for chunk names that have the "BOOTSTRAP" string. The output will look like: \begin{verbatim} -bookvol10.3.pamphlet:@<>= +bookvol10.3.pamphlet:begin{chunk}{VECTOR.lsp BOOTSTRAP} \end{verbatim} This output, which can consist of many lines per input file is piped -into [[awk]]. +into ``awk''. \subsection{Write the Makefile stanzas for the bootstrap files} -For each of the above output lines we run an [[grep]] command: +For each of the above output lines we run an ``grep'' command: <>= -grep -E '@<<.*BOOTSTRAP>>=' *.pamphlet | sort | uniq | \ +grep 'begin{chunk}{.*BOOTSTRAP}' ${BOOKS}/bookvol10.2.pamphlet | sort | uniq | \ +awk -F: '{ + chunk=substr($1,15,length($1)-15); + split(chunk,part," "); + lspfile="${MID}/"part[1]; + print lspfile": ${BOOKS}/bookvol10.2.pamphlet"; + print " @echo \x27(tangle \"${BOOKS}/bookvol10.2.pamphlet\" \""chunk"\" \""lspfile"\")\x27 | ${LISPTANGLE} "; + print ""; +}' + +grep 'begin{chunk}{.*BOOTSTRAP}' ${BOOKS}/bookvol10.3.pamphlet | sort | uniq | \ awk -F: '{ - chunk=substr($2,3,length($2)-5); + chunk=substr($1,15,length($1)-15); split(chunk,part," "); lspfile="${MID}/"part[1]; - print lspfile": ${IN}/"$1; - print "\t@${TANGLE} -R\""chunk"\" ${IN}/"$1">"lspfile; + print lspfile": ${BOOKS}/bookvol10.3.pamphlet"; + print " @echo \x27(tangle \"${BOOKS}/bookvol10.3.pamphlet\" \""chunk"\" \""lspfile"\")\x27 | ${LISPTANGLE} "; print ""; }' @@ -17012,21 +17467,21 @@ part[1]=VECTOR.lsp part[2]=BOOTSTRAP \end{verbatim} -The [[lspfile]] variable is assigned +The lspfile variable is assigned \begin{verbatim} ${MID}/VECTOR.lsp \end{verbatim} Finally we output two lines: \begin{verbatim} ${MID}/vector.spad.pamphlet: ${IN}/bookvol10.3.pamphlet - ${TANGLE} -R"VECTOR.lsp BOOTSTRAP" ${IN}/bookvol10.3.pamphlet >${MID}/VECTOR.lsp + @echo '(tangle "${IN}/bookvol10.4.pamphlet" "VECTOR.lsp BOOTSTRAP" "VECTOR.lsp")' | ${LISPTANGLE} \end{verbatim} The first line is the stanza head and creates a dependence between -the intermediate file, in this case [[int/algebra/VECTOR.lsp]] and -the input file [[src/algebra/vector.spad.pamphlet]] +the intermediate file, in this case int/algebra/VECTOR.lsp and +the input file src/algebra/vector.spad.pamphlet -The second line calls [[notangle]] to extract the required chunk +The second line calls the lisp ``tangle'' to extract the required chunk from the source file. \section{Stage markers} @@ -17282,6 +17737,7 @@ BagAggregate.regress \ BasicFunctions.regress \ BasicOperator.regress \ + BasicStochasticDifferential.regress \ BasicType.regress \ Bezier.regress \ BiModule.regress \ @@ -17811,6 +18267,7 @@ Stack.regress \ StackAggregate.regress \ StepThrough.regress \ + StochasticDifferential.regress \ Stream.regress \ StreamAggregate.regress \ StreamTensor.regress \ @@ -17991,6 +18448,7 @@ clean: @echo src/algebra cleaned + @ \eject \begin{thebibliography}{99} diff -Nru axiom-20110301a/src/axiom-website/books.html axiom-20111101/src/axiom-website/books.html --- axiom-20110301a/src/axiom-website/books.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/books.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download

+ + Online Book + +
+
Documentation
diff -Nru axiom-20110301a/src/axiom-website/bugreport.html axiom-20111101/src/axiom-website/bugreport.html --- axiom-20110301a/src/axiom-website/bugreport.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/bugreport.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
@@ -111,7 +116,28 @@
-Todo +Send email to + + Tim Daly (daly@axiom-developer.org) + +
+
+ +Be sure to include which kind of linux you are using (e.g. Ubuntu, Fedora, +etc.) +
+
+ +Also include the standard Axiom banner that prints on startup. +The most important pieces of information are the two banner lines: +
+          Version: Axiom (March 2011)
+   Timestamp: Wednesday May 25, 2011 at 16:08:58
+
+
+
+This give me some clue about which version of the source code you are using +(March 2011) and when it was compiled (May 25 at 16:08:58) \ No newline at end of file diff -Nru axiom-20110301a/src/axiom-website/commonheader.html axiom-20111101/src/axiom-website/commonheader.html --- axiom-20110301a/src/axiom-website/commonheader.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/commonheader.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
diff -Nru axiom-20110301a/src/axiom-website/community.html axiom-20111101/src/axiom-website/community.html --- axiom-20110301a/src/axiom-website/community.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/community.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
diff -Nru axiom-20110301a/src/axiom-website/contact.html axiom-20111101/src/axiom-website/contact.html --- axiom-20110301a/src/axiom-website/contact.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/contact.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
diff -Nru axiom-20110301a/src/axiom-website/currentstate.html axiom-20111101/src/axiom-website/currentstate.html --- axiom-20110301a/src/axiom-website/currentstate.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/currentstate.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
diff -Nru axiom-20110301a/src/axiom-website/developers.html axiom-20111101/src/axiom-website/developers.html --- axiom-20110301a/src/axiom-website/developers.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/developers.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
diff -Nru axiom-20110301a/src/axiom-website/documentation.html axiom-20111101/src/axiom-website/documentation.html --- axiom-20110301a/src/axiom-website/documentation.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/documentation.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
@@ -119,6 +124,29 @@

+In my life as an artchitect, I find that the single thing which inhibits +young professionals, new students most severely, is their acceptance of +standards that are too low. If I ask a student whether her design is as +good as Chartres, she often smiles tolerantly at me as if to say, "Of +course not, that isn't what I am trying to do...I could never do that." +

+Then, I express my disagreement, and tell her: "That standard must be +our standard. If you are going to be a builder, no other standard is +worthwhile." +

+--Christopher Alexander, May 1996 in (Patterns of Software, Gabriel) +
+
+

+
+The best programming language is English. Everything else is notation. +
+
+-- Timothy Daly (2011) +

+Here is an example literate program in HTML +

+
I believe that the time is ripe for significantly better documentation of programs, and that we can best achieve this by considering programs to be works of literature. Hence, my title "Literate Programming" @@ -142,6 +170,12 @@ -- Timothy Daly (2010) in Lambda the Ultimate forum [LTW10]

+The hardest part of literate programming is the documentation. +
+
+--Timothy Daly (2011) +

+
The effect of this simple shift of emphasis can be so profound as to change one's whole approach to programming. Under the literate programming paradigm, the central activity of programming becomes that of conveying meaning to @@ -197,6 +231,36 @@ TUG 2010

+From a November, 2011 Knuth interview: +

+
+ +

+Yet to me, literate programming is certainly the most important thing +that came out of the TeX project. Not only has it enabled me to write +and maintain programs faster and more reliably than ever before, and +been one of my greatest sources of joy since the 1980s -- it has +actually been indispensable at times. Some of my major programs, such +as the MMIX meta-simulator, could not have been written with any other +methodology that I've ever heard of. The complexity was simply too +daunting for my limited brain to handle; without literate programming, +the whole enterprise would have flopped miserably. +

+
+

+If people discover nice ways to use the newfangled multithreaded +machines, I would expect the discovery to come from people who +routinely use literate programming. Literate programming is what you +need to rise above the ordinary level of achievement. But I don't +believe in forcing ideas on anybody. +

+ +
+
+-- Knuth, Donald + +Interview with Donald Knuth +


diff -Nru axiom-20110301a/src/axiom-website/download.html axiom-20111101/src/axiom-website/download.html --- axiom-20110301a/src/axiom-website/download.html 2011-03-29 05:45:34.000000000 +0000 +++ axiom-20111101/src/axiom-website/download.html 2011-12-01 04:03:14.000000000 +0000 @@ -69,6 +69,11 @@ Download
+ + Online Book + +
+
Documentation
@@ -145,32 +150,33 @@ - + SYSNAME      - - May 2010 + + Jan 2011     - - July 2010 + + Mar 2011     - - Sept 2010 + + May 2011 - - Nov 2010 + + July 2011 + - - Jan 2011 + + Sept 2011 @@ -181,33 +187,31 @@ debian - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src - + - src + src - + - src - bin + src @@ -218,36 +222,34 @@ fedora - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src - + - src + src - + - src - bin + src - + @@ -255,33 +257,31 @@ opensuse - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src - + - src + src - + - src - bin + src @@ -292,30 +292,29 @@ redhat9 - + - src - bin + src - + - src + src - + - src + src - + - src + src - + - src + src @@ -326,34 +325,34 @@ ubuntu - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src + bin @@ -364,29 +363,29 @@ ubuntu64 - + - src + src - + - src + src - + - src + src - + - src + src - + - src + src @@ -397,33 +396,31 @@ vector - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src - + - src + src - + - src - bin + src @@ -434,33 +431,31 @@ slackware - + - src - bin + src + bin - + - src - bin + src + bin - + - src - bin + src - + - src + src - + - src - bin + src @@ -471,31 +466,29 @@ mandriva - + - src - bin + src - + - src - bin + src - + - src + src - + - src + src - + - src + src @@ -692,6 +685,7 @@

Fedora 

+(for 64-bit version: yum install glibc.i686)
 yum install xterm emacs git-core patch texlive texlive-latex m4
 yum install libXt-devel libXpm-devel gcc xorg-x11-proto-devel
 download the latest axiom-(date)-src.tgz
@@ -732,6 +726,24 @@
 in your .Xresources file
+

Gentoo

+ 
+Since 2008 portage has added code to eliminate text relocations,
+executable stacks, writeable+executable segments, and .hash sections
+from ELF files. These need to be modified with these annotations:
+-RESTRICT="strip"
++RESTRICT="strip binchecks installsources"
+
++QA_TEXTRELS="opt/${P}/{algebra,autoload}/*.o opt/${P}/bin/AXIOMsys"
++QA_EXECSTACK="opt/${P}/{algebra,autoload}/*.o opt/${P}/bin/AXIOMsys"
++QA_WX_LOAD="opt/${P}/{algebra,autoload}/*.o opt/${P}/bin/AXIOMsys"
++QA_TEXTRELS="opt/${P}/{algebra,autoload}/*.o opt/${P}/bin/AXIOMsys"
++QA_TEXTRELS="opt/${P}/{algebra,autoload}/*.o opt/${P}/bin/AXIOMsys"
+
+James Cloos has published his ebuild at:
+http://cgit.freedesktop.org/~cloos/overlay/
+
+

OpenSuSE

 echo 0 >/proc/sys/kernel/exec_shield
diff -Nru axiom-20110301a/src/axiom-website/faq.html axiom-20111101/src/axiom-website/faq.html
--- axiom-20110301a/src/axiom-website/faq.html	2011-03-29 05:45:34.000000000 +0000
+++ axiom-20111101/src/axiom-website/faq.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/help.html axiom-20111101/src/axiom-website/help.html
--- axiom-20110301a/src/axiom-website/help.html	2011-03-29 05:45:34.000000000 +0000
+++ axiom-20111101/src/axiom-website/help.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

Binary files /tmp/M8AEgPlKzn/axiom-20110301a/src/axiom-website/hyperdoc/axbook/ps/h-root.png and /tmp/Yhtt9yF5su/axiom-20111101/src/axiom-website/hyperdoc/axbook/ps/h-root.png differ
diff -Nru axiom-20110301a/src/axiom-website/hyperdoc/axbook/section-0.1.xhtml axiom-20111101/src/axiom-website/hyperdoc/axbook/section-0.1.xhtml
--- axiom-20110301a/src/axiom-website/hyperdoc/axbook/section-0.1.xhtml	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/hyperdoc/axbook/section-0.1.xhtml	2011-12-01 04:03:14.000000000 +0000
@@ -657,7 +657,7 @@
 

 

 

-[x+i01-2]
+[x+%i01-2]
 

 

 

@@ -696,7 +696,7 @@
 

 

 

-[1x+i012x+2i-12]
+[1x+%i012x+2%i-12]
 

 

 

diff -Nru axiom-20110301a/src/axiom-website/hyperdoc/axbook/section-0.6.xhtml axiom-20111101/src/axiom-website/hyperdoc/axbook/section-0.6.xhtml
--- axiom-20110301a/src/axiom-website/hyperdoc/axbook/section-0.6.xhtml	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/hyperdoc/axbook/section-0.6.xhtml	2011-12-01 04:03:14.000000000 +0000
@@ -489,7 +489,7 @@
 
 
 
Lists in Axiom are mutable and so their contents (the elements and the links)
-can be modified in place. Functions that operator over lists in this way have
+can be modified in place. Functions that operate over lists in this way have
 names ending in the symbol ``!''. For example,  concat! takes two lists
 as arguments and appends the second argument to the first (except when the
 first argument is an empty list) and  setrest! changes the link 
@@ -1952,7 +1952,7 @@
 
 
 
-
One-dimensional array are homogenous (all elements must have the same type)
+
One-dimensional arrays are homogenous (all elements must have the same type)
 and mutable (elements can be changed) like lists but unlike lists they are
 constant in size and have uniform access times (it is just as quick to read
 the last element of a one-dimensional array as it is to read the first; this
diff -Nru axiom-20110301a/src/axiom-website/hyperdoc/axbook/section-0.7.xhtml axiom-20111101/src/axiom-website/hyperdoc/axbook/section-0.7.xhtml
--- axiom-20110301a/src/axiom-website/hyperdoc/axbook/section-0.7.xhtml	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/hyperdoc/axbook/section-0.7.xhtml	2011-12-01 04:03:14.000000000 +0000
@@ -40,7 +40,7 @@
 
 
 
Input files contain code that will be fed to the command prompt. The 
-primary different between the command line and an input file is that
+primary difference between the command line and an input file is that
 indentation matters. In an input file you can specify ``piles'' of code
 by using indentation. 
 

@@ -1254,7 +1254,7 @@
 
 
 
-
+
We could use two parallel whiles

 


 x:=1

 y:=1

Binary files /tmp/M8AEgPlKzn/axiom-20110301a/src/axiom-website/hyperdoc/axbook.tgz and /tmp/Yhtt9yF5su/axiom-20111101/src/axiom-website/hyperdoc/axbook.tgz differ
diff -Nru axiom-20110301a/src/axiom-website/index1.html axiom-20111101/src/axiom-website/index1.html
--- axiom-20110301a/src/axiom-website/index1.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/index1.html	2011-12-01 04:03:14.000000000 +0000
@@ -68,6 +68,11 @@
    Download
   

   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/index.html axiom-20111101/src/axiom-website/index.html
--- axiom-20110301a/src/axiom-website/index.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/index.html	2011-12-01 04:03:14.000000000 +0000
@@ -68,6 +68,12 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/information.html axiom-20111101/src/axiom-website/information.html
--- axiom-20110301a/src/axiom-website/information.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/information.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/litprog.html axiom-20111101/src/axiom-website/litprog.html
--- axiom-20110301a/src/axiom-website/litprog.html	1970-01-01 00:00:00.000000000 +0000
+++ axiom-20111101/src/axiom-website/litprog.html	2011-12-01 04:03:14.000000000 +0000
@@ -0,0 +1,981 @@
+
+ 
+  
+   Example of Literate Programming in HTML
+  
+  
+ 
+ 
+ 
+

+ 
+ 1.0    Literate Programming - A Gentle Introduction
+  1.1     What is the problem?
+  1.2     Is there a better way?
+  1.3     Literate Programming -- The basic idea
+  1.3.1     Literate Programming is NOT documentation
+  1.3.2     Literate Programming is a change in mindset
+  1.3.3     Literate Programming reduces bugs
+  1.4     Understanding the literate programming tangle tool
+  1.4.1     Motivation, or getchunk
+  1.4.2     All of the literate programming tools
+ 2.0    The Tangle Program
+  2.1     Understanding the story of the program
+  2.2     The main task
+  2.3     A complication with HTML
+  2.4     Finding the chunk
+  2.5     Finding the next line in the buffer
+  2.6     At last, finding the chunk
+  2.7     Printing the chunk we found
+  2.8     The simple case, print the line
+  2.9     Checking chunks for getchunk tags
+  2.10    Getting a new chunk name from the getchunk tag
+  2.11    Finding the end of the chunk we are printing
+  2.12    Final cleanup and housekeeping. The preamble
+ 3.0    The tangle source code
+ 4.0    What have we learned?
+ 

+

+  

+
+
1.0 Literate Programming - A Gentle Introduction

+
1.1 What is the problem?

+

+In the 1970s I worked on a PDP11/40, which is the same class of
+machine that was used to develop UNIX. My PDP had 8192 bytes of
+memory. The editor used 4096 bytes and left the other 4096 bytes for
+an edit buffer.
+

+This meant that the largest file I could create at any time was 4096
+bytes.  As a result, C programs were limited in size. To get around
+this problem we used include files, libraries of code,
+linkers, and overlay loaders.  Segment registers exist on the x86
+processors to help overlay loaders.
+

+People program today the same way I programmed in the 1970s.  We write
+programs that are made of tiny pieces of sand in hundreds of little
+files spread across dozens of directories. In order to find anything
+we use grep to search files, or we create tools to pre-search
+the files such as Eclipse and IntelliJ.
+

+Imagine taking the same approach to calculus. Create a directory for
+each chapter. Take each equation in the chapter and put it in a file.
+Do this for every chapter. Throw away the textbook. Now try to learn
+calculus.
+

+That's the way we program today, just like I did in the 1970s.
+

+We program to communicate to the machine, not to communicate to people.

+That's the problem.
+

+
+
1.2 Is there a better way?

+

+In my life as an artchitect, I find that the single thing which inhibits
+young professionals, new students most severely, is their acceptance of
+standards that are too low. If I ask a student whether her design is as
+good as Chartres, she often smiles tolerantly at me as if to say, "Of
+course not, that isn't what I am trying to do...I could never do that."
+


+Then, I express my disagreement, and tell her: "That standard must be 
+our standard. If you are going to be a builder, no other standard is
+worthwhile."
+

+--Christopher Alexander, May 1996 in (Patterns of Software, Gabriel)
+

+

+

+Consider the best possible world. You've been hired at a company and
+join a team that is already working on a program. They hand you a book,
+tell you to go home and read it over the next two weeks. At the end of
+the two weeks you can work on the program as effectively anyone on the
+team. The team has successfully communicated from one human to another.
+

+What is in the book?
+

+Remember our calculus textbook? It started from the ideas like limits
+and gradually developed the ideas until they could be expressed in
+equations. By the time you got to the equations you already understood
+the concepts. You could look at the equations and see why they matched
+the text. It is the why that is the important part. It is the
+part that our programs are missing.
+

+The book you took home uses the same method. You started with the problem
+in chapter 1. Chapter 2 expresses the ideas needed to solve the problem.
+The next few chapters expand on each idea, gradually becoming more specific
+until the idea is reduced to code. By the time you get to the code it 
+should be perfectly clear what the code should look like. Any part of
+the code you don't understand means that the book needs some additional
+words.
+

+The best programming language is English. Everything else is notation
+
1.3 Literate Programming -- The basic idea

+

+It is rather pointless to have code in a book, right? Someone could
+change the code and then the book would be out of date.
+

+The way to solve this problem is to extract the code directly from the 
+book. That way, every time you change the code in the book you change
+the actual program.
+

+How hard is it to write an extraction program that can find the code in 
+the book and extract it to some files? Well, lets suppose we name each
+section of code and call it a chunk.
+

+We need a program that lets us find a chunk in a document and extract it.
+The traditional name for such a program is tangle. The tangle
+program takes two arguments, the name of the book and the name of the
+chunk:
+
+   tangle mybookname chunkname
+

+

+With this simple tool you can now write books that contain the actual
+source code.
+

+
1.3.1 Literate Programming is NOT documentation

+

+The first reaction is that this is a new, painful form of documentation.
+It is not. Documentation is a how construct. It is a way of 
+explaining how a program works or how an application interface should
+be used. 
+

+Literate programming is about why. It explains the ideas. It is
+communication from one person to another. 
+

+The why becomes important when you have to maintain and modify
+a program. You can perfectly understand how a subroutine,
+module, or class works. You can explain its input and outputs. What
+you don't understand is why it exists. Nobody writes that
+down. So when you are joining a group and given the directory
+containing thousand of pieces of code, you have no idea why the
+program is structured the way it is.
+

+
1.3.2 Literate Programming is a change in mindset

+

+In order to do literate programming you have to change the way you
+think. You have to write english text to communicate ideas. You have
+to move from ideas to implementation in a way that make the story
+clear.
+

+If programmers were writing a James Bond novel they would create a
+file for JamesBond, MissMoneyPenny, Q, and TheBadGuys. They would
+create a directory for Scenes with subdirectories for Scene1, Scene2,
+and so on. Then they would box up the whole tree, send it to the 
+audience, and tell them 
+
+   When this program is run, the bad guy dies
+

+

+We live by stories. We tell stories and we remember stories.
+Characters do things and the author tries to convey their motivations
+(the why). Scenes, flashy cars, trick watches, and other items
+are added to solve local problems in the story. The whole story moves
+from the beginning to the end. You can remember the story and you can
+find places where you think it is weak or cheesy or bad.
+

+Subroutines, modules, or classes are like characters in a story. They
+need motivation. They need the why. The factory classes, the
+singletons, the garbage collection routines, and other "items" exist
+to solve local problems in the story of the program.
+

+Literate programming is about writing the story of your program. What
+are you trying to solve? How are you solving it? Why did you introduce
+piece of code? Is it part of the main story or is it an item that helps
+solve a local problem?
+

+
1.3.3 Literate Programming reduces bugs

+

+We are all conditioned to follow stories. We do it all the time.
+If I present you with a piece of code without the story then you 
+have to struggle to understand it. Take, for example, this:
+

+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/mman.h>
+#include <sys/types.h>
+#include <fcntl.h>
+
+/* forward reference for the C compiler */
+int getchunk(char *chunkname);
+
+char *chunkbegin = "<pre id=\"";     int chunkbeginlen = 9;
+char *chunkend = "</pre>";           int chunkendlen = 6;
+char *chunkget = "<getchunk id=\"";  int chunkgetlen = 14;
+
+/* a memory mapped buffer copy of the file */
+char *buffer;
+int bufsize;
+
+/* return the length of the next line */
+int nextline(int i) {
+  int j;
+  if (i >= bufsize) return(-1);
+  for (j=0; ((i+j < bufsize) && (buffer[i+j] != '\n')); j++);
+  return(j);
+}
+
+/* output the line we need */
+int printline(int i, int length) {
+  int j; 
+  for (j=0; j<length; j++) { putchar(buffer[i+j]); }
+  printf("\n");
+}
+
+/* handle <pre id="chunkname">            */
+/* is this chunk name we are looking for? */
+int foundchunk(int i, char *chunkname) {
+  if ((strncmp(&buffer[i],chunkbegin,chunkbeginlen) == 0) &&
+      (strncmp(&buffer[i+9],chunkname,strlen(chunkname)) == 0) &&
+      (buffer[i+chunkbeginlen+strlen(chunkname)] == '"') &&
+      (buffer[i+chunkbeginlen+strlen(chunkname)+1] == '>')) return(1);
+  return(0);
+}
+
+/* handle </pre>   */
+/* is it really an end? */
+int foundEnd(int i) {
+  if (strncmp(&buffer[i],chunkend,chunkendlen) == 0) {
+    return(1); 
+  }
+  return(0);
+}
+
+/* handle <getchunk id="chunkname"/> */
+/* is this line a getchunk?          */
+int foundGetchunk(int i, int linelen) {
+  int len;
+  if (strncmp(&buffer[i],chunkget,chunkgetlen) == 0) {
+   for(len=1; ((len < linelen) && (buffer[i+chunkgetlen+len] != '\"')); len++);
+   return(len);
+  }
+  return(0);
+}
+
+/* Somebody did a getchunk and we need a copy of the name */
+/* malloc string storage for a copy of the getchunk name  */
+char *getChunkname(int k, int getlen) {
+  char *result = (char *)malloc(getlen+1);
+  strncpy(result,&buffer[k+chunkgetlen],getlen);
+  result[getlen]='\0';
+  return(result);
+}
+
+/* print lines in this chunk, possibly recursing into getchunk */
+int printchunk(int i, int chunklinelen, char *chunkname) {
+  int j;
+  int k;
+  int linelen;
+  char *getname;
+  int getlen = 0;
+  for (k=i+chunklinelen+1; ((linelen=nextline(k)) != -1); ) {
+    if ((getlen=foundGetchunk(k,linelen)) > 0) {
+       getname = getChunkname(k,getlen);
+       getchunk(getname);
+       free(getname);
+       k=k+getlen+17;
+    } else {
+    if ((linelen >= chunkendlen) && (foundEnd(k) == 1)) {
+      return(k+chunkbeginlen);
+    } else {
+      printline(k,linelen);
+      k=k+linelen+1;
+    }
+  }}
+  return(k);
+}
+
+/* find the named chunk and call printchunk on it */
+int getchunk(char *chunkname) {
+  int i;
+  int j;
+  int linelen;
+  int chunklen = strlen(chunkname);
+  for (i=0; ((linelen=nextline(i)) != -1); ) {
+    if ((linelen >= chunklen+11) && (foundchunk(i,chunkname) == 1)) {
+      i=printchunk(i,linelen,chunkname);
+    } else {
+      i=i+linelen+1;
+    }
+  }
+  return(i);
+}
+
+void fixHTMLcode() {
+  int point = 0;
+  int mark = 0;
+  int i=0;
+  for(point = 0; point < bufsize;) {
+    if ((buffer[point] == '&') &&
+        (strncmp(&buffer[point+1],"lt;",3) == 0)) {
+      buffer[mark++] = 60;
+      point = point + 4;  
+    } else
+    if ((buffer[point] == '&') &&
+        (strncmp(&buffer[point+1],"gt;",3) == 0)) {
+      buffer[mark++] = 62;
+      point = point + 4;  
+    } else
+      buffer[mark++] = buffer[point++]; 
+  }
+  bufsize = mark;
+}
+
+/* memory map the input file into the global buffer and get the chunk */
+int main(int argc, char *argv[]) {
+  int fd;
+  struct stat filestat;
+  if ((argc < 2) || (argc > 3)) { 
+    perror("Usage: tangle filename chunkname");
+    exit(-1);
+  }
+  fd = open(argv[1], O_RDONLY);
+  if (fd == -1) {
+    perror("Error opening file for reading");
+    exit(-2);
+  }
+  if (fstat(fd,&filestat) < 0) {
+    perror("Error getting input file size");
+    exit(-3);
+  }
+  bufsize = (int)filestat.st_size;
+  buffer = (char *)malloc(bufsize);
+  read(fd,buffer,bufsize);
+  fixHTMLcode(); 
+  getchunk(argv[2]);
+  close(fd);
+  return(0);
+}
+
+

+

+Odds are good you just skipped over it, right? It is pretty much just a
+long pile of noise. It really doesn't matter if you are a C programmer 
+or not. It is just noise.
+

+
1.4 Understanding the literate programming tangle tool

+

+We write literate programs to communicate to both people and machines.
+Since they are combined in a single document we need a markup language
+to distinguish human text from machine text as well as a markup language
+to write readable english.
+

+Literate programs don't care what you use as a documentation markup
+language. I prefer latex but for this example we'll use HTML.
+

+HTML has a set of markup tags. One of the markup tags is the pre
+tag. Anything between the beginning of a <pre> tag and the 
+trailing </pre> tag is quoted and
+printed exactly as written.
+

+The pre tag also has an id field which lets us put a
+name on the tag. So we can have many named pre tags in a file.
+

+The tangle program reads the HTML file and extracts the text in a 
+pre chunk. That's almost all of the magic.
+

+
1.4.1 Motivation, or getchunk

+

+Remember, though, that we wanted to motivate ideas in a program.
+Motivations get introduced in an order that humans can understand.
+So ideas have to be presented in a particular order for humans and
+a different order for machines. We need a way to reorganize the
+program into pieces. The trick is getchunk.
+

+We introduce a special tag called getchunk. It only occurs
+within a pre tag block. The getchunk tag has an 
+id field which names another chunk. When we find a 
+getchunk tag, we read the id name and replace the 
+getchunk tag with the named chunk.
+

+This getchunk tag allows us to "clip out" a piece of a
+program from the middle of a subroutine, put it into its own chunk,
+and wrap some text around it. 
+

+This is useful if you have some tricky loop in the middle of a large
+subroutine that you need to explain. You can clip the loop out, put it
+in a pre tag of its own and replace it with a getchunk.
+

+
1.4.2 All of the literate programming tools

+

+So we have a single program, called tangle. It works with three
+HTML tags, the <pre> tag, the </pre>
+ and the <getchunk> tag. They
+look like:
+
+   <pre id="main.c">
+   </pre>
+   <getchunk id="main.c">
+

+

+That's all there is. 
+

+Now you can embed your subroutines in an HTML file, surround it by
+pre tags, replace nasty sections with getchunk tags
+so you can explain them separately, and you can extract the whole
+set of subroutines using the tangle program.
+

+The big loop of program development is now:
+
+ do forever {
+    edit the html file
+    tangle thehtmlfile sub1.c >sub1.c
+    tangle thehtmlfile sub2.c >sub2.c
+    tangle thehtmlfile main.c >main.c
+    gcc -o myfile sub1.c sub2.c main.c
+    ./myfile
+ }
+

+

+When you are finished for the day, the week, or the project your 
+whole program is properly explained as well as properly maintained.
+

+If you did it right you can just point someone at the HTML file,
+let them go away for a while, and when they return they understand
+enough about your program to take over the whole project.
+

+But wait, you say... you skipped over the hard part.
+

+Indeed, I did. The hard part is that you need to communicate your
+ideas to another human. And you have to do it in a way that reduces
+your idea to practice. In fact, you need to clearly reduce your
+ideas to practice.
+

+
2.0 The Tangle Program

+
2.1 Understanding the story of the program

+

+We will try to illustrate literate programming using the tangle
+program as an example. However, if you want to see a real
+literate program I strongly recommend the book:
+
+  Lisp in Small Pieces by Christian Queinnec (ISBN 0-521-54566-8)
+

+

+We would like to write programs embedded in documents which surround
+the program text with explanations. Since the compiler cannot
+understand the markup language we need a program, which we will call
+tangle, that wil extract code from a document in a given markup
+language.
+

+The tangle program is specific to the markup language used, whether it is
+latex, HTML, or some other language. For this example we are assuming
+that the markup is HTML.
+

+The markup language has to have some sort of verbatim quoting
+mechanism which allows us to put code inline. It also has to have a way
+to name the quoted pieces of code. We call the quoted pieces of code a
+chunk. We call the label the chunkname.
+

+HTML uses the pre tag as its quoting mechanism. Items between
+the opening pre tag and the closing /pre tag are
+unchanged by HTML processors. The pre tag has an id
+parameter. We will use the id parameter as a chunk name.
+

+The tangle program takes two arguments, the name of the document and
+the name of the chunk. It must print the chunk on standard output.
+

+
2.2 The main task

+

+The main thing we have to do is find a chunk somewhere in our book.
+We specified the book and the chunk name on the command line so we
+ought to check that we have the right inputs. 
+

+There can only be two inputs and they are both requires so first
+we check that condition. If there are not two then the user might not
+understand what was required so we print the usual usage message.
+

+We have huge amounts of memory so we will simply load the file in a 
+single chunk using the read function. This 
+requires that we can open the file, which we check. It requires a
+handle to the file, which we get from the open call. It requires the
+size of the file so it can allocate memory, so we use fstat.
+

+Now that we have all of the read parameters we can load the
+file into memory. The buffer variable is described as a pointer to
+a character which is C-speak for a string. 
+

+We also need to know the size of the buffer at all times so we
+allocate the bufsize variable at global scope.
+

+
+
+/* a memory mapped buffer copy of the file */
+char *buffer;
+int bufsize;
+
+

+

+Since the buffer is being used everywhere we make it global by
+defining it at the top of the program, outside the scope of the
+functions.
+

+
+/* memory map the input file into the global buffer and get the chunk */
+int main(int argc, char *argv[]) {
+  int fd;
+  struct stat filestat;
+  if ((argc < 2) || (argc > 3)) { 
+    perror("Usage: tangle filename chunkname");
+    exit(-1);
+  }
+  fd = open(argv[1], O_RDONLY);
+  if (fd == -1) {
+    perror("Error opening file for reading");
+    exit(-2);
+  }
+  if (fstat(fd,&filestat) < 0) {
+    perror("Error getting input file size");
+    exit(-3);
+  }
+  bufsize = (int)filestat.st_size;
+  buffer = (char *)malloc(bufsize);
+  read(fd,buffer,bufsize);
+  fixHTMLcode(); 
+  getchunk(argv[2]);
+  close(fd);
+  return(0);
+}
+
+

+

+If the read succeeds we move on to the problem of finding
+the named chunk in the book.
+

+
2.3 A complication with HTML

+

+HTML is not clever about ignoring HTML symbols in <pre>
+blocks of code. This causes us three complications which do not normally
+occur with a tangle program. 
+

+The first complication can be seen by viewing the source for this page.
+We need to replace the angle brackets with the HTML escape codes 
+everywhere, including in the verbatim sections. So we have to be careful
+using certain language constructs. Reasonable markup languages such
+as latex do not have this problem.
+

+The second complication is that the string search for the pre,
+/pre and getchunk tags need to use the escape code
+sequence for matching.
+

+The third complication is that the tangle program has to reverse 
+this translation when printing the program.
+

+There is no such thing as a simple job.
+

+The trick here will be to walk the buffer and replace every use of
+the HTML code with the corresponding character, appropriately adjusting
+the space. Since HTML codes are always longer than the character they
+replace we can just compress the buffer a bit. And since the buffer is
+never used for anything else we can even replace the HTML codes in parts
+of the buffer where it might be inappropriate.
+

+The point variable is where we are looking in the buffer.
+The mark variable is where we are writing in the buffer.
+Normally we just walk them in parallel. They diverge when they hit an
+HTML code. The point is copied to the mark. In the
+absence of any codes this is a copy of the buffer to itself.
+

+When we hit a code we place the corresponding character at the mark,
+bump the point over the HTML code, and continue the copy.
+

+When we hit the end of the buffer we rewrite the bufsize variable
+to reflect the new, shorter buffer size.
+

+There is another really subtle point here. Note that we have to do the
+comparison in two pieces otherwise the combined string is a valid HTML
+code and we end up destroying our own search string. If we break it
+into two parts then the substring "lt;" is not a valid HTML code and
+will not be replaced. This is the kind of information that
+literate programming preserves. A clever programmer would combine the
+two tests into the single strncmp and everything will fail.
+
+void fixHTMLcode() {
+  int point = 0;
+  int mark = 0;
+  int i=0;
+  for(point = 0; point < bufsize;) {
+    if ((buffer[point] == '&') &&
+        (strncmp(&buffer[point+1],"lt;",3) == 0)) {
+      buffer[mark++] = 60;
+      point = point + 4;  
+    } else
+    if ((buffer[point] == '&') &&
+        (strncmp(&buffer[point+1],"gt;",3) == 0)) {
+      buffer[mark++] = 62;
+      point = point + 4;  
+    } else
+      buffer[mark++] = buffer[point++]; 
+  }
+  bufsize = mark;
+}
+
+

+
2.4 Finding the chunk

+

+We are given the chunkname as a string and we have to search the
+file for the 
<pre id="name"> tag. 
+

+Since the string came from the command line we know that it ends
+with a null character so we can just call strlen to get
+the length.
+

+By design, we require the <pre> tag to start in the first
+character of the line. We could remove this restriction if we
+felt like being clever but code is usually left-aligned in the
+output so left-aligning the tag is reasonable. 
+

+Given this design decision we can walk the book one line at a time.
+We delegate the task of finding the line length linelen to
+the nextline function.  The "magic number" 11 exists because
+the smallest pre tag contains 11 characters:
+
+<pre id="">
+

+

+If the line is long enough to contain the <pre> tag and its
+associated id tag and we find the named chunk then we 
+print it.
+

+Another design decision is that we will allow multiple chunks with
+the same name and we will print them in order. This allows us to 
+break a big block into smaller blocks and insert text in the middle.
+So you can write
+

+
+    <pre id="somename">
+       the first part of a function
+    </pre>
+    some explanation
+    <pre id="somename">
+       the next part of the function
+    </pre>
+    more explanation
+

+When you run tangle filename somename you will see the output:
+
+  the first part of a function
+  the next part of the function
+

+

+This is trivial to implement. All we have to do is keep searching the
+document and printing the same named chunk.
+

+
+
+/* find the named chunk and call printchunk on it */
+int getchunk(char *chunkname) {
+  int i;
+  int j;
+  int linelen;
+  int chunklen = strlen(chunkname);
+  for (i=0; ((linelen=nextline(i)) != -1); ) {
+    if ((linelen >= chunklen+11) && (foundchunk(i,chunkname) == 1)) {
+      i=printchunk(i,linelen,chunkname);
+    } else {
+      i=i+linelen+1;
+    }
+  }
+  return(i);
+}
+
+

+
2.5 Finding the next line in the buffer

+

+The nextline function just walks the buffer starting at any
+character position and returns the character position after the next
+newline. We only have to check that we don't run off the end of the
+buffer, otherwise we just keep a count of the character position.
+

+
+/* return the length of the next line */
+int nextline(int i) {
+  int j;
+  if (i >= bufsize) return(-1);
+  for (j=0; ((i+j < bufsize) && (buffer[i+j] != '\n')); j++);
+  return(j);
+}
+
+

+
+
2.6 At last, finding the chunk

+

+We are positioned at the beginning of a line so we are looking at
+something that looks like:
+
+<pre id="somechunkname">
+

+

+We need to check the format of the line. The first 9 characters must be:
+

+
+<pre id="
+

+

+The next substring must be the chunkname we seek and the rest of
+line must be the
+
+">
+

+

+So if we find a properly formed line with the chunk name then we 
+return a 1 indicating success, otherwise we return a 0 indicating failure.
+

+In a fit of hasty generality we allocate the chunkbegin
+information at the global scope. In theory we would like to be able to
+just change the patterns for different markup languages.
+
+char *chunkbegin = "<pre id=\"";     int chunkbeginlen = 9;
+

+
+/* handle <pre id="chunkname">            */
+/* is this chunk name we are looking for? */
+int foundchunk(int i, char *chunkname) {
+  if ((strncmp(&buffer[i],chunkbegin,chunkbeginlen) == 0) &&
+      (strncmp(&buffer[i+9],chunkname,strlen(chunkname)) == 0) &&
+      (buffer[i+chunkbeginlen+strlen(chunkname)] == '"') &&
+      (buffer[i+chunkbeginlen+strlen(chunkname)+1] == '>')) return(1);
+  return(0);
+}
+
+

+
+
2.7 Printing the chunk we found 

+

+So we found our chunk and all we have to do is print it.
+We just print each line until we find the </pre> tag,
+a task we delegate to the foundEnd function.
+

+Of course, there is no such thing as a simple job and, indeed,
+there is a complication here. We made a design decision
+that we will allow a getchunk tag to have special meaning
+within the pre tag.
+

+We delegate getting the id from the getchunk tag
+to the getChunkname function which we will examine next.
+

+Recall that getchunk will search the document for the 
+pre tag named by the getchunk's id label.
+This means that we need to
+
+  1) stop printing the current chunk
+  2) find the chunk named by getchunk and print it
+  3) continue printing the original chunk where we left off
+

+

+We already have a function to do step 2, the 
+getchunk function mentioned above.
+We can just call that function which handles both finding and
+printing a chunk.
+

+The magic number 17 occurs because we need to account for all of
+the characters in the line which are not part of the id
+string in the getchunk. So an empty string, including
+the trailing newline is:
+
+<getchunk id="">\n   a total of 17 characters
+

+
+/* print lines in this chunk, possibly recursing into getchunk */
+int printchunk(int i, int chunklinelen, char *chunkname) {
+  int j;
+  int k;
+  int linelen;
+  char *getname;
+  int getlen = 0;
+  for (k=i+chunklinelen+1; ((linelen=nextline(k)) != -1); ) {
+    if ((getlen=foundGetchunk(k,linelen)) > 0) {
+       getname = getChunkname(k,getlen);
+       getchunk(getname);
+       free(getname);
+       k=k+getlen+17;
+    } else {
+    if ((linelen >= chunkendlen) && (foundEnd(k) == 1)) {
+      return(k+chunkbeginlen);
+    } else {
+      printline(k,linelen);
+      k=k+linelen+1;
+    }
+  }}
+  return(k);
+}
+
+

+
+
2.8 The simple case, print the line

+In the simple case we simply output the line.
+
+/* output the line we need */
+int printline(int i, int length) {
+  int j; 
+  for (j=0; j<length; j++) { putchar(buffer[i+j]); }
+  printf("\n");
+}
+
+

+
2.9 Checking chunks for getchunk tags

+

+Because we treat the getchunk tag as a special case when we
+are printing we need a predicate to look for it. We are positioned at
+the beginning of a line when we are called so we only need to check
+for the string we call chunkget, that is:
+
+char *chunkget = "<getchunk id=\"";  int chunkgetlen = 14;
+

+
+This predicate returns the length of the chunkname or 0 if it is not
+a getchunk tag.
+
+/* handle  */
+/* is this line a getchunk?          */
+int foundGetchunk(int i, int linelen) {
+  int len;
+  if (strncmp(&buffer[i],chunkget,chunkgetlen) == 0) {
+   for(len=1; ((len < linelen) && (buffer[i+chunkgetlen+len] != '\"')); len++);
+   return(len);
+  }
+  return(0);
+}
+
+

+
+
2.10 Getting a new chunk name from the getchunk tag

+

+We have encountered a <getChunkName> tag. We need to strip out
+the id string. We malloc a small piece of memory to contain
+the name. Note that this is a potential memory leak since we are 
+letting allocated memory leave this function. The caller must remember
+to free it. If we check the caller, the printchunk function
+we see that the buffer is freed and memory does not leak.
+

+
+/* Somebody did a getchunk and we need a copy of the name */
+/* malloc string storage for a copy of the getchunk name  */
+char *getChunkname(int k, int getlen) {
+  char *result = (char *)malloc(getlen+1);
+  strncpy(result,&buffer[k+chunkgetlen],getlen);
+  result[getlen]='\0';
+  return(result);
+}
+
+

+
+
2.11 Finding the end of the chunk we are printing

+

+The printchunk routine delegated the task of finding the
+</pre> tag to foundEnd. If we find the
+tag we return 1 otherwise we return 0.
+

+The chunkend and chunkendlen variables are allocated
+in the global scope.
+
+char *chunkend = "</pre>";           int chunkendlen = 6;
+

+
+
+/* handle </pre>   */
+/* is it really an end? */
+int foundEnd(int i) {
+  if (strncmp(&buffer[i],chunkend,chunkendlen) == 0) {
+    return(1); 
+  }
+  return(0);
+}
+
+

+
+
2.12 Final cleanup and housekeeping. The preamble

+
+C compilers aren't smart enough to look up symbols everyone uses so we
+have to tell it where to find them. We also need to forward reference
+the getchunk function because it is used before it exists.
+Compilers in 1970 couldn't handle such complexity. It is terribly
+hard, you know.
+
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/mman.h>
+#include <sys/types.h>
+#include <fcntl.h>
+
+/* forward reference for the C compiler */
+int getchunk(char *chunkname);
+
+

+
+
3.0 The tangle source code

+

+The big chunk of code at the beginning of this book is a working
+tangle program. You can clip it out of a web page, save it as
+tangle.c, type
+
+   gcc -o tangle tangle.c
+

+and you now have a working tangle program for HTML files. If you want
+to improve it just modify this web page and run tangle again to extract
+your changes. 
+

+Alternatively you can get the tangle source code from 
+here
+

+When we want the whole program we output this chunk with the command:
+

+
+    tangle litprog.html tangle.c >tangle.c
+

+and it recreates the tangle.c function.
+
+
+<getchunk id="include">
+<getchunk id="chunkbegin">
+<getchunk id="chunkend">
+<getchunk id="chunkget">
+<getchunk id="buffer">
+<getchunk id="nextline">
+<getchunk id="printline">
+<getchunk id="foundchunk">
+<getchunk id="foundEnd">
+<getchunk id="foundGetchunk">
+<getchunk id="getChunkname">
+<getchunk id="printchunk">
+<getchunk id="getchunk">
+<getchunk id="fixHTMLcode">
+<getchunk id="main">
+

+
+
4.0 What have we learned?

+

+We have walked through a fairly simple program in great detail.  You
+now understand why HTML causes problems, you understand what the magic
+numbers in the program mean, and you understand the design decisions
+such as always have pre tags in the first column.
+

+We have learned that we only need a simple 160 line tangle program to
+handle all of the literate programming tasks. You can make this more
+complex if you like. You could create a tangle plugin for Eclipse. You
+could add automatic indexing. Many people have done similar things
+with their literate tools.
+

+Ultimately, though, the important point is that you need to
+write programs to communicate with other people. We do not do that
+now. The result is that there are tens of thousands of programs on
+Sourceforge and Savannah and Github that are never going to be used
+because nobody understands them.
+

+We can do better. We can make programs that live. We can communicate
+our ideas in ways that others can understand without talking to us.
+

+We can be better programmers.
+

+Tim Daly, November 18, 2011
+

+  

+ 
+
diff -Nru axiom-20110301a/src/axiom-website/outsidelinks.html axiom-20111101/src/axiom-website/outsidelinks.html
--- axiom-20110301a/src/axiom-website/outsidelinks.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/outsidelinks.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/participate.html axiom-20111101/src/axiom-website/participate.html
--- axiom-20110301a/src/axiom-website/participate.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/participate.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/patches.html axiom-20111101/src/axiom-website/patches.html
--- axiom-20110301a/src/axiom-website/patches.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/patches.html	2011-12-01 04:03:14.000000000 +0000
@@ -72,6 +72,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

@@ -112,6 +117,10 @@
   

   
Releases

   
Latest

+  
November 30, 2011

+  
September 29, 2011

+  
July 28, 2011

+  
May 27, 2011

   
March 28, 2011

   
January 30, 2011

   
November 30, 2010

@@ -3377,7 +3386,7 @@
 
 
March 2011 Release

 
Jump to previous release
-
Jump to next release
+
Jump to next release
 

 

 20110130.01.tpd.patch
@@ -3434,13 +3443,278 @@
 books/bookvolbib add Fateman [Fat05]

 20110318.01.tpd.patch
 books/bookvolbib add Davenport [Dav10], [DSTxx]

-
-
March 2011 Release

+

+
+
May 2011 Release

 
Jump to previous release
-
Jump to top release
+
Jump to next release
+

+

+20110328.01.tpd.patch
+src/axiom-website/download.html add ubuntu

+20110404.01.exs.patch
+books/bookvol0 replace "operator over" by "operate over"

+20110411.01.tpd.patch
+src/input/davis.input added

+20110411.02.tpd.patch
+books/bookvolbib add several references

+20110417.01.tpd.patch
+src/axiom-websilte/download.html add fedora mar2011

+20110417.02.tpd.patch
+src/axiom-websilte/download.html add vector mar2011

+20110417.03.tpd.patch
+src/axiom-websilte/download.html add slackware mar2011

+20110418.01.tpd.patch
+src/axiom-websilte/download.html add debian mar2011

+20110418.02.tpd.patch
+src/axiom-websilte/download.html add opensuse mar2011

+20110424.01.tpd.patch
+src/input/erf.input add examples of erf integration

+20110503.01.tpd.patch
+books/bookvol5 treeshake interpreter

+20110504.01.tpd.patch
+books/bookvol5 treeshake interpreter

+20110511.01.tpd.patch
+books/bookvol5 treeshake interpreter

+20110513.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110514.01.tpd.patch
+books/bookvol* set textlength 400

+20110514.02.tpd.patch
+books/bookvol9 normalize argument names to top level functions

+20110515.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110516.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110517.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110518.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110523.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110524.01.tpd.patch
+T. Doug Telford  bug report regression test

+20110524.02.tpd.patch
+books/bookvol5 add Doug Telford to credits

+20110524.03.tpd.patch
+books/bookvol9 treeshake compiler

+20110525.01.tpd.patch
+books/bookvol0 proofread to chapter 1 (pdf page 86)

+20110526.01.tpd.patch
+src/axiom-website/index.html add online book link

+20110526.02.tpd.patch
+src/axiom-website/bugreport.html give my email address

+

+
+
July 2011 Release

+
Jump to previous release
+
Jump to next release
+

+

+20110527.01.tpd.patch
+Makefile.pamphlet VERSION = May 2011

+20110527.02.tpd.patch
+src/axiom-website/download.html add ubuntu

+20110528.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110530.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110531.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110601.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110605.01.tpd.patch
+Makefile.pamphlet add BUILD=full / BUILD=fast

+20110705.01.tpd.patch
+books/bookvol5 remove dewriteify,s inner function

+20110706.01.tpd.patch
+books/bookvol9 use \defsdollar and \refsdollar

+20110707.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110708.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110708.02.tpd.patch
+books/bookvol9 treeshake compiler

+20110710.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110712.01.tpd.patch
+books/bookvol9 treeshake compiler, remove modemap.lisp

+20110713.01.tpd.patch
+books/bookvol10.3 help and unit tests for RewriteRule

+20110714.01.tpd.patch
+src/interp/axext_l.lisp removed

+20110715.01.tpd.patch
+src/interp/Makefile add (si::reset-sys-paths) per Camm

+20110715.02.tpd.patch
+books/bookvol5 treeshake interpreter

+20110716.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110721.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110722.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110724.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110728.01.tpd.patch
+books/bookvol9 treeshake compiler

+

+
+
September 2011 Release

+
Jump to previous release
+
Jump to next release
+

+

+20110729.01.tpd.patch
+src/axiom-website/download.html add ubuntu

+20110730.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110731.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110801.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110802.01.tpd.patch
+src/interp/database.lisp removed

+20110803.01.tpd.patch
+src/interp/as.lisp removed

+20110803.02.tpd.patch
+src/interp/ax.lisp removed aldor compiler hooks

+20110804.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110807.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110812.01.rhx.patch
+src/input/ffieldbug.input added

+20110812.02.tpd.patch
+books/bookvol9 treeshake compiler

+20110813.01.tpd.patch
+src/input/Makefile respect the BUILD=fast variable value

+20110814.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110818.01.tpd.patch
+books/bookvol9 treeshake compiler, remove compiler.lisp

+20110818.02.tpd.patch
+src/interp/Makefile remove foam_l

+20110824.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110825.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110826.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110827.01.tpd.patch
+src/interp/package.lisp remove isPackageFunction

+20110828.01.tpd.patch
+books/bookvol9 treeshake compiler, remove package.lisp

+20110830.01.tpd.patch
+books/bookvol9 treeshake compiler

+20110904.01.tpd.patch
+books/bookvolbib add Kendall Ken99a, Ken99b

+20110905.01.jxc.patch
+src/axiom-website/download.html add Gentoo notes by James Cloos

+20110905.02.tpd.patch
+books/bookvol9 treeshake compiler

+20110905.03.tpd.patch
+src/scripts/tex/axiom.sty fix defplist

+20110909.01.tpd.patch
+books/bookvol5 treeshake interpreter

+20110910.01.tpd.patch
+books/bookvol10.3 add BasicStochasticDifferential domain, Wilfrid Kendall

+20110911.01.tpd.patch
+books/bookvol10.3 add StochasticDifferential

+20110911.02.mxr.patch
+books/bookvol10.3 upgrade GOPT

+20110916.01.tpd.patch
+src/interp/vmlisp.lisp remove pairp

+20110923.01.tpd.patch
+src/interp/vmlisp.lisp, bookvol5, bookvol9 use qc(ad)r forms
+20110923.02.tpd.patch
+books/bookvol5 remove packageTran

+20110923.03.tpd.patch
+src/interp/Makefile remove nci.lisp

+20110923.04.tpd.patch
+books/bookvol5 remove ncParseAndInterpretString

+20110924.01.tpd.patch
+books/bookvol5 merge nocompil.lisp

+20110926.01.tpd.patch
+books/bookvol5 treeshake interpreter

+20110927.01.tpd.patch
+books/bookvol5 treeshake interpreter

+
+  

+
+
November 2011 Release

+
Jump to previous release
+
Jump to next release
 

 

 In process, not yet released


+20110929.02.tpd.patch
+src/axiom-website/documentation.html add quote

+20110929.03.tpd.patch
+src/axiom-website/download.html update to latest release

+20110929.04.tpd.patch
+src/axiom-website/documentation.html bold quote

+20111008.01.tpd.patch
+books/bookvol9 treeshake compiler

+20111009.01.tpd.patch
+books/bookvol10.* remove noweb, move to lisp tangle

+20111011.01.tpd.patch
+src/interp/nruntime.lisp removed

+20111015.01.tpd.patch
+books/bookvol5 treeshake interpreter

+20111019.01.tpd.patch
+books/bookvol9 treeshake compiler

+20111105.01.tpd.patch
+src/interp/vmlisp.lisp remove makeprop

+20111106.01.tpd.patch
+src/interp/vmlisp.lisp missing/unused function cleanup

+20111106.02.tpd.patch
+books/bookvol5 add OpenMath stubs

+20111106.03.tpd.patch
+src/interp/vmlisp.lisp remove GETREFV

+20111106.04.tpd.patch
+books/bookvol5 OpenMath support

+20111107.01.tpd.patch
+books/bookvolbib add references

+20111108.01.tpd.patch
+src/axiom-website/documentation.html add Knuth quote

+20111108.02.tpd.patch
+books/bookvol5 treeshake interpreter

+20111112.01.tpd.patch
+books/bookvol9 treeshake compiler

+20111113.01.tpd.patch
+books/bookvol9 treeshake compiler, remove apply.lisp

+20111116.01.tpd.patch
+books/bookvol9 treeshake compiler

+20111116.02.wxh.patch
+src/interp/i-spec2.lisp fix AN has sqrt: % -> %

+20111117.01.tpd.patch
+books/bookvol9 treeshake compiler

+20111118.01.tpd.patch
+src/axiom-website/litprog.html added

+20111124.01.tpd.patch
+src/axiom-website/litprog.html add quote

+20111124.02.tpd.patch
+books/bookvol9 treeshake compiler

+20111124.03.tpd.patch
+books/bookvolbib add additional references

+20111124.04.tpd.patch
+books/bookvol9 treeshake compiler

+20111129.01.tpd.patch
+src/axiom-website/litprog.html literate program example

+20111130.01.tpd.patch
+books/tangle.lisp fix .input file algebra extraction

+20111130.02.tpd.patch
+books/bookvol9 treeshake and merge c-doc.lisp

+20111130.03.tpd.patch
+books/Makefile fix missing book index

+
   

+
+
January 2012 Release

+
Jump to previous release
+
Jump to top release
+

+

+In process, not yet released


  
 
diff -Nru axiom-20110301a/src/axiom-website/releasenotes.html axiom-20111101/src/axiom-website/releasenotes.html
--- axiom-20110301a/src/axiom-website/releasenotes.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/releasenotes.html	2011-12-01 04:03:14.000000000 +0000
@@ -71,6 +71,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

@@ -110,8 +115,12 @@
   
   

   
Releases

-  
March 28, 2010

-  
January 30, 2010

+  
November 30, 2011

+  
September 29, 2011

+  
July 28, 2011

+  
May 27, 2011

+  
March 28, 2011

+  
January 30, 2011

   
November 30, 2010

   
September 25, 2010

   
July 24, 2010

@@ -136,6 +145,383 @@
 
 
 
 
+
+
November 30, 2011 Release Notes 

+patch list
+
Jump to next older release
+
+November 2011 Release
+
+Treeshaking the interpreter and compiler continues and a few more files
+were merged and removed.
+
+Several books and Makefiles were converted to use lisp tangle rather 
+than noweb. This is part of the general process to remove noweb.
+
+Global function rewrites continue, including removing GETREFV and makeprop.
+
+Work was done to improve OpenMath support. The OpenMath semantics CDs were
+added and the OpenMath parser was enhanced.
+
+More effort was put into literate work. In particular, an example of a
+literate program using HTML was created and presented at the Clojure/Conj
+conference.
+
+books/Makefile
+   removed noweb, move to lisp tangle
+   fix missing index files on PDfs
+
+books/tangle.lisp 
+   fix .input file algebra extraction
+
+books/bookvol10.2
+   missing/unused function cleanup
+   remove makeprop
+   remove noweb, move to lisp tangle
+
+books/bookvol10.3 
+   remove GETREFV
+   remove makeprop
+   remove noweb, move to lisp tangle
+
+books/bookvol10.4 
+   remove noweb, move to lisp tangle
+
+books/bookvol10.5 
+   remove noweb, move to lisp tangle
+
+books/bookvol4
+   missing/unused function cleanup
+   remove makeprop
+
+books/bookvol5 
+   OpenMath support
+   add OpenMath stubs
+   missing/unused function cleanup
+   remove makeprop
+   remove noweb, move to lisp tangle
+   treeshake interpreter
+
+books/bookvol7.1 
+   fix documentation
+   update What's New Page
+
+books/bookvol9
+   missing/unused function cleanup
+   remove makeprop
+   treeshake and merge c-doc.lisp
+
+books/bookvolbib
+   Axiom OpenMath references
+   add additional references
+   add references
+
+books/ps/
+   v71releasenotes.eps add release notes
+   v71sept2011.eps added
+
+src/algebra/Makefile 
+   fix .input file algebra extraction
+   remove noweb, move to lisp tangle
+
+src/axiom-website/documentation.html
+   add Alexander quote
+   add Knuth quote
+   add litprog.html
+   add quote
+
+src/axiom-website/download.html
+   update to latest release
+
+src/axiom-website/litprog.html
+   added
+   add quote
+   literate program example update
+
+src/interp/Makefile 
+   remove apply.lisp
+   remove c-doc.lisp
+   remove noweb, move to lisp tangle
+   remove nruntime.lisp
+
+src/interp
+   apply.lisp removed, merged with bookvol9
+   buildom.lisp remove GETREFV
+   c-doc.lisp removed
+   c-util.lisp missing/unused function cleanup
+   category.lisp remove GETREFV
+   functor.lisp missing/unused function cleanup, remove GETREFV
+   g-util.lisp missing/unused function cleanup
+   i-eval.lisp remove nruntime.lisp
+   i-spec1.lisp treeshake interpreter
+   i-spec2.lisp fix AN has sqrt: % -> %
+   i-spec2.lisp remove makeprop
+   nruncomp.lisp remove GETREFV, treeshake compiler
+   nrungo.lisp remove nruntime.lisp, treeshake interpreter, remove GETREFV
+   nruntime.lisp removed
+   parsing.lisp remove makeprop
+   sys-pkg.lisp missing/unused function cleanup, remove GETREFV, makeprop
+   template.lisp remove GETREFV
+   vmlisp.lisp missing/unused function cleanup, remove GETREFV, makeprop
+
+zips
+   add cds.tar.gz OpenMath support. add OpenMath CDs
+

+
+
+
September 29, 2011 Release Notes 

+patch list
+
Jump to next older release
+
+September 2011 Release
+
+This release continues the task of treeshaking the compiler and
+interpreter. Nine files were merged and removed. In addition,
+several passes were made for code cleanup.
+
+The Symbolic Ito Calculus package is being added, starting with the
+BasicStochasticDifferential and  StochasticDifferential domains.
+More work remains to be done.
+
+The GUESS package is being upgraded. 
+
+James Cloos and Wilfrid Kendall were added to the credits.
+
+books/bookvol10.3 
+  add BasicStochasticDifferential and  StochasticDifferential
+  remove pairp
+  start upgrade of GUESS package
+
+books/bookvol10.4 
+  remove packageTran
+
+books/bookvol10.5 
+  add StochasticDifferential
+
+books/bookvol5 
+  add BasicStochasticDifferential domain
+  merge nocompil.lisp, as.lisp, nci.lisp
+  treeshake interpreter
+  remove pairp, ncParseAndInterpretString, packageTran
+  use qc(ad)r forms
+
+books/bookvol7 
+  merge nocompil.lisp
+
+books/bookvol7.1 
+  update What's New Page
+
+books/bookvol9
+  remove pairp, isPackageFunction
+  treeshake compiler
+  use qc(ad)r forms
+
+books/bookvolbib
+   add Kendall Ken99a, Ken99b literature references to Axiom
+
+books/ps/
+  v103basicstochasticdifferential.ps added
+  v103stochasticdifferential.ps added
+  v71july2011.eps 
+  v71releasenotes.eps add release notes
+
+src/algebra/Makefile 
+  BasicStochasticDifferential domain
+  add StochasticDifferential
+  remove upper GUESS package code
+
+src/axiom-website/download.html add Gentoo notes by James Cloos
+src/axiom-website/download.html add ubuntu
+
+src/axiom-website/releasenotes.html
+
+src/doc/axiom.sty 
+  fix defplist
+
+src/input/Makefile 
+  document finite field bug 
+  respect the BUILD=fast variable value
+
+src/input/
+  fix broken tests in axiom, cmds, setcmd, unittest1, unittest2
+  ffieldbug.input: added
+
+src/interp/Makefile 
+  remove as.lisp, compiler.lisp, database.lisp, define.lisp, foam_l
+  remove g-opt.lisp, nci.lisp, package.lisp, ax.lisp
+
+
+

+
+
+
July 28, 2011 Release Notes 

+patch list
+
Jump to next older release
+
+July 2011 Release
+
+The prior release had a bug that caused it to remember the build location.
+This was a change introduced by the underlying lisp. This was fixed.
+
+This release continues treeshaking the compiler. 
+The modemap.lisp file has been merged and no longer exists.
+
+This release continues to treeshake the interpreter. 
+The axext_l.lisp file has been removed.
+
+Makefile.pamphlet
+  add BUILD=full / BUILD=fast switch
+
+Book Volume 5 (Interpreter)
+  treeshake interpreter
+
+Book Volume 9 (Compiler)
+  treeshake compiler
+
+Book Volume 10.3 (Domains)
+  help and unit tests for RewriteRule
+
+axiom.sty
+  add /refsdollar and /defsdollar for better cross references
+
+src/interp/Makefile
+  add (si::reset-sys-paths) per Camm
+  remove axext_l aldor support file
+  remove modemap.lisp
+
+
+

+
+
+
May 27, 2011 Release Notes 

+patch list
+
Jump to next older release
+
+May 2011 Release
+
+This release involved more work treeshaking of the compiler and
+interpreter. Argument naming conventions were normalized to improve
+the documentation and clarity.
+
+Time was spent proofreading the books and reducing or eliminating
+latex warnings. Missing index files were fixed and errors in the Jenks
+book were fixed.
+
+The website has been updated to make Arthur Ralf's book available
+from every page. The website is being rewritten to be IPv6 enabled.
+
+Doug Telford was added to the credits.
+
+Book Volume 0 (Jenks book)
+  proofread to chapter 1 (pdf page 86)
+  replace "operator over" by "operate over"
+  set textlength 400
+  port changes to Arthur Ralfs HTML version
+
+Book Volume 1 (Tutorial)
+  proofread and copyedit
+  set textlength 400
+  update HTML image
+
+Book Volume 2 
+  set textlength 400
+
+Book Volume 3
+  set textlength 400
+
+Book Volume 4
+  set textlength 400
+
+Book Volume 5 (Interpreter)
+  add Doug Telford to credits
+  set textlength 400
+  treeshake interpreter
+
+Book Volume 6
+  set textlength 400
+
+Book Volume 7 (Hyperdoc)
+  set textlength 400
+
+Book Volume 7.1 (Hyperdoc pages)
+  set textlength 400
+  update What's New Page
+  ps/v71mar2011.eps
+  ps/v71releasenotes.eps add release notes
+
+Book Volume 8
+  set textlength 400
+
+Book Volume 9 (Compiler)
+  normalize argument names to top level functions
+  treeshake compiler
+
+Book Volume 10
+  set textlength 400
+
+Book Volume 10.1
+  set textlength 400
+
+Book Volume 10.2 (Categories)
+  set textlength 400
+
+Book Volume 10.3 (Domains)
+  set textlength 400
+
+Book Volume 10.4 (Packages)
+  set textlength 400
+
+Book Volume 10.5 (Numerics)
+  set textlength 400
+
+Book Volume 11
+  set textlength 400
+
+Book Volume 12
+  set textlength 400
+
+Biblography
+  add several references
+  set textlength 400
+
+readme
+  add Doug Telford to credits
+
+website
+  set up IPv6 address range
+  download.html add binaries
+  bugreport.html add bug reporting instructions
+ 
+  The website now has an online version of the Jenks book which is a 
+  link to Arthur Ralf's HTML version. This has been updated with the
+  proofreading changes for the latex version.
+
+     *.html add online book link to Arthur Ralfs HTML version
+     hyperdoc/axbook/ps/h-root.png port changes
+     hyperdoc/axbook/section-0.1.xhtml, section-0.6.xhtml, section-0.7.xhtml
+
+Makefiles
+  books/Makefile fix missing index
+  books/Makefile set textlength 400
+
+Testing
+  Makefile add davis.input
+  Makefile add erf.input
+  Makefile bug report regression test
+  davis.input
+  erf.input add examples of erf integration
+  telford.input bug report regression test
+
+
+src/interp/
+  define.lisp treeshake compiler
+  parsing.lisp treeshake compiler
+  vmlisp.lisp treeshake compiler
+
+
+
+

+
 
 
March 28, 2011 Release Notes 

 patch list
diff -Nru axiom-20110301a/src/axiom-website/rosetta.html axiom-20111101/src/axiom-website/rosetta.html
--- axiom-20110301a/src/axiom-website/rosetta.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/rosetta.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   

   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/screenshots.html axiom-20111101/src/axiom-website/screenshots.html
--- axiom-20110301a/src/axiom-website/screenshots.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/screenshots.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/axiom-website/videos.html axiom-20111101/src/axiom-website/videos.html
--- axiom-20110301a/src/axiom-website/videos.html	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/axiom-website/videos.html	2011-12-01 04:03:14.000000000 +0000
@@ -69,6 +69,11 @@
    Download
   
   

+   
+    Online Book
+   
+  

+  

    
    Documentation
   

diff -Nru axiom-20110301a/src/doc/axiom.sty.pamphlet axiom-20111101/src/doc/axiom.sty.pamphlet
--- axiom-20110301a/src/doc/axiom.sty.pamphlet	2011-03-29 05:45:35.000000000 +0000
+++ axiom-20111101/src/doc/axiom.sty.pamphlet	2011-12-01 04:03:14.000000000 +0000
@@ -70,7 +70,7 @@
 %%
 <>=
 \newcommand{\defplist}[2]{% e.g. \defplist{symbol}{entry}
-\subsection{defun #2}%
+\subsection{defplist #2}%
 \label{#1}%
 \index{#1}%
 \index{defplist!#1}%
@@ -278,6 +278,32 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %%
+%% defines a special variable definition that only occurs within the
+%% scope of the lifetime of a function but not defined at the top level.
+%% if the special variable starts with dollar we need to fake it
+%%
+<>=
+\newcommand{\defsdollar}[2]{% e.g. \defsdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{local def #1}}%
+\index{#1!{local def \${#2}}}}
+@
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%
+%% uses a special variable definition that only occurs within the
+%% scope of the lifetime of a function but not defined at the top level.
+%% if the special variable starts with dollar we need to fake it
+%%
+<>=
+\newcommand{\refsdollar}[2]{% e.g. \refsdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{local ref #1}}%
+\index{#1!{local ref \${#2}}}}
+@
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%
 %% uses marks a special variable use
 %% if the special variable starts with dollar we need to fake it
 %%
diff -Nru axiom-20110301a/src/input/axiom.input.pamphlet axiom-20111101/src/input/axiom.input.pamphlet
--- axiom-20110301a/src/input/axiom.input.pamphlet	2011-03-29 05:45:36.000000000 +0000
+++ axiom-20111101/src/input/axiom.input.pamphlet	2011-12-01 04:03:15.000000000 +0000
@@ -36,7 +36,6 @@
 
 )set message prompt frame
 
-)lis (verbos 0) 
 -- read the user's synonym file for system commands, if it exists
 )read "mysyns.input"  )ifthere )quiet
 \end{chunk}
diff -Nru axiom-20110301a/src/input/cmds.input.pamphlet axiom-20111101/src/input/cmds.input.pamphlet
--- axiom-20110301a/src/input/cmds.input.pamphlet	2011-03-29 05:45:36.000000000 +0000
+++ axiom-20111101/src/input/cmds.input.pamphlet	2011-12-01 04:03:15.000000000 +0000
@@ -267,33 +267,34 @@
 --R BLQT     BlowUpWithQuadTrans          BOOLEAN  Boolean
 --R BOP      BasicOperator                BPADIC   BalancedPAdicInteger
 --R BPADICRT BalancedPAdicRational        BRAGG-   BinaryRecursiveAggregate&
---R BSTREE   BinarySearchTree             BTAGG-   BitAggregate&
---R BTCAT-   BinaryTreeCategory&          BTOURN   BinaryTournament
---R BTREE    BinaryTree                   CARD     CardinalNumber
---R CARTEN   CartesianTensor              CCLASS   CharacterClass
---R CDFMAT   ComplexDoubleFloatMatrix     CDFVEC   ComplexDoubleFloatVector
---R CHAR     Character                    CLAGG-   Collection&
---R CLIF     CliffordAlgebra              COLOR    Color
---R COMM     Commutator                   COMPCAT- ComplexCategory&
---R COMPLEX  Complex                      COMPPROP SubSpaceComponentProperty
---R CONTFRAC ContinuedFraction            D01AJFA  d01ajfAnnaType
---R D01AKFA  d01akfAnnaType               D01ALFA  d01alfAnnaType
---R D01AMFA  d01amfAnnaType               D01ANFA  d01anfAnnaType
---R D01APFA  d01apfAnnaType               D01AQFA  d01aqfAnnaType
---R D01ASFA  d01asfAnnaType               D01FCFA  d01fcfAnnaType
---R D01GBFA  d01gbfAnnaType               D01TRNS  d01TransformFunctionType
---R D02BBFA  d02bbfAnnaType               D02BHFA  d02bhfAnnaType
---R D02CJFA  d02cjfAnnaType               D02EJFA  d02ejfAnnaType
---R D03EEFA  d03eefAnnaType               D03FAFA  d03fafAnnaType
---R DBASE    Database                     DECIMAL  DecimalExpansion
---R DEQUEUE  Dequeue                      DERHAM   DeRhamComplex
---R DFLOAT   DoubleFloat                  DFMAT    DoubleFloatMatrix
---R DFVEC    DoubleFloatVector            DHMATRIX DenavitHartenbergMatrix
---R DIAGG-   Dictionary&                  DIFEXT-  DifferentialExtension&
---R DIFRING- DifferentialRing&            DIOPS-   DictionaryOperations&
---R DIRPCAT- DirectProductCategory&       DIRPROD  DirectProduct
---R DIRRING  DirichletRing                DIV      Divisor
---R DIVRING- DivisionRing&                DLIST    DataList
+--R BSD      BasicStochasticDifferential  BSTREE   BinarySearchTree
+--R BTAGG-   BitAggregate&                BTCAT-   BinaryTreeCategory&
+--R BTOURN   BinaryTournament             BTREE    BinaryTree
+--R CARD     CardinalNumber               CARTEN   CartesianTensor
+--R CCLASS   CharacterClass               CDFMAT   ComplexDoubleFloatMatrix
+--R CDFVEC   ComplexDoubleFloatVector     CHAR     Character
+--R CLAGG-   Collection&                  CLIF     CliffordAlgebra
+--R COLOR    Color                        COMM     Commutator
+--R COMPCAT- ComplexCategory&             COMPLEX  Complex
+--R COMPPROP SubSpaceComponentProperty    CONTFRAC ContinuedFraction
+--R D01AJFA  d01ajfAnnaType               D01AKFA  d01akfAnnaType
+--R D01ALFA  d01alfAnnaType               D01AMFA  d01amfAnnaType
+--R D01ANFA  d01anfAnnaType               D01APFA  d01apfAnnaType
+--R D01AQFA  d01aqfAnnaType               D01ASFA  d01asfAnnaType
+--R D01FCFA  d01fcfAnnaType               D01GBFA  d01gbfAnnaType
+--R D01TRNS  d01TransformFunctionType     D02BBFA  d02bbfAnnaType
+--R D02BHFA  d02bhfAnnaType               D02CJFA  d02cjfAnnaType
+--R D02EJFA  d02ejfAnnaType               D03EEFA  d03eefAnnaType
+--R D03FAFA  d03fafAnnaType               DBASE    Database
+--R DECIMAL  DecimalExpansion             DEQUEUE  Dequeue
+--R DERHAM   DeRhamComplex                DFLOAT   DoubleFloat
+--R DFMAT    DoubleFloatMatrix            DFVEC    DoubleFloatVector
+--R DHMATRIX DenavitHartenbergMatrix      DIAGG-   Dictionary&
+--R DIFEXT-  DifferentialExtension&       DIFRING- DifferentialRing&
+--R DIOPS-   DictionaryOperations&        DIRPCAT- DirectProductCategory&
+--R DIRPROD  DirectProduct                DIRRING  DirichletRing
+--R DIV      Divisor                      DIVRING- DivisionRing&
+--R DLIST    DataList
 --R DMP      DistributedMultivariatePolynomial
 --R DPMM     DirectProductMatrixModule    DPMO     DirectProductModule
 --R DPOLCAT- DifferentialPolynomialCategory&
@@ -479,7 +480,7 @@
 --R RSETCAT- RegularTriangularSetCategory&
 --R RULE     RewriteRule                  RULECOLD RuleCalled
 --R RULESET  Ruleset                      SAE      SimpleAlgebraicExtension
---R SAOS     SingletonAsOrderedSet
+--R SAOS     SingletonAsOrderedSet        SD       StochasticDifferential
 --R SDPOL    SequentialDifferentialPolynomial
 --R SDVAR    SequentialDifferentialVariable
 --R SEG      Segment                      SEGBIND  SegmentBinding
diff -Nru axiom-20110301a/src/input/davis.input.pamphlet axiom-20111101/src/input/davis.input.pamphlet
--- axiom-20110301a/src/input/davis.input.pamphlet	1970-01-01 00:00:00.000000000 +0000
+++ axiom-20111101/src/input/davis.input.pamphlet	2011-12-01 04:03:15.000000000 +0000
@@ -0,0 +1,1149 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input davis.input}
+\author{Timothy Daly}
+\maketitle
+\begin{abstract}
+From Davis, Phillip and Rabinowitz, Phillip
+``Method of Numerical Integration''
+Academic Press 1984
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)spool davis.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 101
+f2:=1/(1+t^4)
+--R 
+--R
+--R           1
+--R   (1)  ------
+--R         4
+--R        t  + 1
+--R                                            Type: Fraction Polynomial Integer
+--E 1
+
+--S 2 of 101
+i2:=integrate(f2,t)
+--R 
+--R
+--R   (2)
+--R        +-+      +-+    2         +-+        +-+    2
+--R       \|2 log(t\|2  + t  + 1) - \|2 log(- t\|2  + t  + 1)
+--R     + 
+--R           +-+         1          +-+         1
+--R       - 2\|2 atan(---------) - 2\|2 atan(---------)
+--R                     +-+                    +-+
+--R                   t\|2  - 1              t\|2  + 1
+--R  /
+--R     8
+--R                                          Type: Union(Expression Integer,...)
+--E 2
+
+--S 3 of 101
+d2:=integrate(f2,x=0,t)
+--R 
+--R   There are 8 exposed and 1 unexposed library operations named 
+--R      integrate having 3 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--R                         Fraction Polynomial Integer
+--R                         Equation Polynomial Integer
+--R                                 Variable t
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 3
+
+--S 4 of 101
+a2:=1/(4*sqrt(2))*log((x^2+x*sqrt(2)+1)/(x^2-x*sqrt(2)+1))+_
+    (1/2*sqrt(2))*(atan(x/(sqrt(2)-x))+atan(x/(sqrt(2)+x)))
+--R 
+--R
+--R                    +-+    2
+--R         +-+    - x\|2  - x  - 1      +-+         x         +-+         x
+--R        \|2 log(----------------) + 4\|2 atan(--------) + 4\|2 atan(--------)
+--R                   +-+    2                    +-+                   +-+
+--R                 x\|2  - x  - 1               \|2  - x              \|2  + x
+--R   (3)  ---------------------------------------------------------------------
+--R                                          8
+--R                                                     Type: Expression Integer
+--E 4
+
+--S 5 of 101
+r2:=""
+--R 
+--R
+--R   (4)  ""
+--R                                                                 Type: String
+--E 5
+
+--S 6 of 101
+f56:=sin(%pi*x)
+--R 
+--R
+--R   (5)  sin(%pi x)
+--R                                                     Type: Expression Integer
+--E 6
+
+--S 7 of 101
+i56:=integrate(f56,x)
+--R 
+--R
+--R          cos(%pi x)
+--R   (6)  - ----------
+--R              %pi
+--R                                          Type: Union(Expression Integer,...)
+--E 7
+
+--S 8 of 101
+d56:=integrate(f65,x=0..1)
+--R 
+--R
+--R   (7)  f65
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 8
+
+--S 9 of 101
+a56:=2/%pi
+--R 
+--R
+--R         2
+--R   (8)  ---
+--R        %pi
+--R                                                                     Type: Pi
+--E 9
+
+--S 10 of 101
+r56:=""
+--R 
+--R
+--R   (9)  ""
+--R                                                                 Type: String
+--E 10
+
+--S 11 of 101
+f57:=f(x)
+--R 
+--R   There are no library operations named f 
+--R      Use HyperDoc Browse or issue
+--R                                 )what op f
+--R      to learn if there is any operation containing " f " in its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named f 
+--R      with argument type(s) 
+--R                                 Variable x
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 11
+
+--S 12 of 101
+i57:=integrate(f57,x)
+--R 
+--R
+--R   (10)  f57 x
+--R                                            Type: Polynomial Fraction Integer
+--E 12
+
+--S 13 of 101
+d57:=integrate(f57,a..b)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--R                                Variable f57
+--R                               Segment Symbol
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 13
+
+--S 14 of 101
+a57:=((b-a)/6)*(f(a)+4*f((a+b)/2)+f(b))
+--R 
+--R   There are no library operations named f 
+--R      Use HyperDoc Browse or issue
+--R                                 )what op f
+--R      to learn if there is any operation containing " f " in its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named f 
+--R      with argument type(s) 
+--R                                 Variable a
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 14
+
+--S 15 of 101
+r57:="degree(f) <= 3"
+--R 
+--R
+--R   (11)  "degree(f) <= 3"
+--R                                                                 Type: String
+--E 15
+
+--S 16 of 101
+f148:=exp(x^2)*cos(n*x)
+--R 
+--R
+--R                    2
+--R                   x
+--R   (12)  cos(n x)%e
+--R                                                     Type: Expression Integer
+--E 16
+
+--S 17 of 101
+i148:=integrate(f148,x)
+--R 
+--R
+--R            x              2
+--R          ++             %K
+--R   (13)   |   cos(%K n)%e   d%K
+--R         ++
+--R                                          Type: Union(Expression Integer,...)
+--E 17
+
+--S 18 of 101
+d148:=integrate(f148,x=0..%pi)
+--R 
+--R
+--R   (14)  "failed"
+--R                                                Type: Union(fail: failed,...)
+--E 18
+
+--S 19 of 101
+a148:=((-1)^n/n^2)*2*%pi*exp(%pi^2)
+--R 
+--R
+--R                   2
+--R                %pi      n
+--R         2%pi %e    (- 1)
+--R   (15)  -----------------
+--R                  2
+--R                 n
+--R                                                     Type: Expression Integer
+--E 19
+
+--S 20 of 101
+r148:=""
+--R 
+--R
+--R   (16)  ""
+--R                                                                 Type: String
+--E 20
+
+--S 21 of 101
+f153:=x*cos(x)*sin(n*x)
+--R 
+--R
+--R   (17)  x cos(x)sin(n x)
+--R                                                     Type: Expression Integer
+--E 21
+
+--S 22 of 101
+i153:=integrate(f153,x)
+--R 
+--R
+--R   (18)
+--R            2                  2
+--R       ((- n  + 1)x sin(x) + (n  + 1)cos(x))sin(n x) - 2n cos(n x)sin(x)
+--R     + 
+--R           3
+--R       (- n  + n)x cos(x)cos(n x)
+--R  /
+--R      4     2
+--R     n  - 2n  + 1
+--R                                          Type: Union(Expression Integer,...)
+--E 22
+
+--S 23 of 101
+d153:=integrate(f153,x=0..2*%pi)
+--R 
+--R
+--R           2                        3
+--R         (n  + 1)sin(2n %pi) + (- 2n  + 2n)%pi cos(2n %pi)
+--R   (19)  -------------------------------------------------
+--R                             4     2
+--R                            n  - 2n  + 1
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 23
+
+--S 24 of 101
+a153a:=-%pi/2
+--R 
+--R
+--R           %pi
+--R   (20)  - ---
+--R            2
+--R                                                                     Type: Pi
+--E 24
+
+--S 25 of 101
+r153a:="n=1"
+--R 
+--R
+--R   (21)  "n=1"
+--R                                                                 Type: String
+--E 25
+
+--S 26 of 101
+a153b:=-2*n*%pi/(n^2-1)
+--R 
+--R
+--R           2n %pi
+--R   (22)  - ------
+--R            2
+--R           n  - 1
+--R                                                     Type: Expression Integer
+--E 26
+
+--S 27 of 101
+r153b:="n != 1"
+--R 
+--R
+--R   (23)  "n != 1"
+--R                                                                 Type: String
+--E 27
+
+--S 28 of 101
+fa154:=x*cos(50*x)*sin(n*x)
+--R 
+--R
+--R   (24)  x cos(50x)sin(n x)
+--R                                                     Type: Expression Integer
+--E 28
+
+--S 29 of 101
+ia154:=integrate(fa154,x)
+--R 
+--R
+--R   (25)
+--R              2                         2
+--R       ((- 50n  + 125000)x sin(50x) + (n  + 2500)cos(50x))sin(n x)
+--R     + 
+--R                                     3
+--R       - 100n cos(n x)sin(50x) + (- n  + 2500n)x cos(50x)cos(n x)
+--R  /
+--R      4        2
+--R     n  - 5000n  + 6250000
+--R                                          Type: Union(Expression Integer,...)
+--E 29
+
+--S 30 of 101
+da154:=integrate(fa154,x=0..2*%pi)
+--R 
+--R
+--R           2                           3
+--R         (n  + 2500)sin(2n %pi) + (- 2n  + 5000n)%pi cos(2n %pi)
+--R   (26)  -------------------------------------------------------
+--R                           4        2
+--R                          n  - 5000n  + 6250000
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 30
+
+--S 31 of 101
+aa154:=2*n*%pi/(2500-n^2)
+--R 
+--R
+--R             2n %pi
+--R   (27)  - ---------
+--R            2
+--R           n  - 2500
+--R                                                     Type: Expression Integer
+--E 31
+
+--S 32 of 101
+ra154:="n != 50"
+--R 
+--R
+--R   (28)  "n != 50"
+--R                                                                 Type: String
+--E 32
+
+--S 33 of 101
+fb154:=x*sin(n*x)/sqrt(1-(x^2)/(4*%pi^2))
+--R 
+--R
+--R            x sin(n x)
+--R   (29)  ---------------
+--R          +------------+
+--R          |   2       2
+--R          |- x  + 4%pi
+--R          |------------
+--R          |        2
+--R         \|    4%pi
+--R                                                     Type: Expression Integer
+--E 33
+
+--S 34 of 101
+ib154:=integrate(fb154,x)
+--R 
+--R
+--R            x
+--R          ++   %K sin(%K n)
+--R   (30)   |   -------------- d%K
+--R         ++    +-----------+
+--R               |    2     2
+--R               |4%pi  - %K
+--R               |-----------
+--R               |       2
+--R              \|   4%pi
+--R                                          Type: Union(Expression Integer,...)
+--E 34
+
+--S 35 of 101
+db154:=integrate(fb154,x=0..2*%pi)
+--R 
+--R
+--R   (31)  potentialPole
+--R                                         Type: Union(pole: potentialPole,...)
+--E 35
+
+--S 36 of 101
+ab154:=2*%pi^3*J(1,2*%pi*n) -- J(n,m) is the Bessel function
+--R 
+--R  Line 406: --R 
+--R  Line 407: --R
+--R  Line 408: --R   (31)  potentialPole
+--R  Line 409: --R                                         Type: Union(pole: potentialPole,...)
+--R  Line 410: --E 35
+--R  Line 411: 
+--R  Line 412: --S 36 of 101
+--R  Line 413: ab154:=2*%pi^3*J(1,2*%pi*n) -- J(n,m) is the Bessel function
+--R  Error   : Quote added at end of line.
+--R   1 error(s) parsing 
+--R   There are no library operations named J 
+--R      Use HyperDoc Browse or issue
+--R                                 )what op J
+--R      to learn if there is any operation containing " J " in its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named J 
+--R      with argument type(s) 
+--R                               PositiveInteger
+--R                             Expression Integer
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 36
+
+--S 37 of 101
+rb154:="singularity at x=2*%pi
+--R 
+--R
+--R   (32)  "singularity at x=2*%pi"
+--R                                                                 Type: String
+--E 37
+
+--S 38 of 101
+f155:=log(x)*sin(n*x)
+--R 
+--R
+--R   (33)  log(x)sin(n x)
+--R                                                     Type: Expression Integer
+--E 38
+
+--S 39 of 101
+i155:=integrate(f155,x)
+--R 
+--R
+--R            x
+--R          ++
+--R   (34)   |   log(%K)sin(%K n)d%K
+--R         ++
+--R                                          Type: Union(Expression Integer,...)
+--E 39
+
+--S 40 of 101
+d155:=integrate(f155,x=0..2*%pi)
+--R 
+--R
+--R   (35)  potentialPole
+--R                                         Type: Union(pole: potentialPole,...)
+--E 40
+
+--S 41 of 101
+a155:=(-1/n)*(y+log(2*n*%pi)-Ci(2*n*%pi)) -- y ~ .577215665 Ci is cosine int.
+--R 
+--R
+--R         - log(2n %pi) + Ci(2n %pi) - y
+--R   (36)  ------------------------------
+--R                        n
+--R                                                     Type: Expression Integer
+--E 41
+
+--S 42 of 101
+r155:="singularity at x=0"
+--R 
+--R
+--R   (37)  "singularity at x=0"
+--R                                                                 Type: String
+--E 42
+
+--S 43 of 101
+f210:=exp(-x^2)
+--R 
+--R
+--R              2
+--R           - x
+--R   (38)  %e
+--R                                                     Type: Expression Integer
+--E 43
+
+--S 44 of 101
+i210:=integrate(f210,x)
+--R 
+--R
+--R                +---+
+--R         erf(x)\|%pi
+--R   (39)  ------------
+--R               2
+--R                                          Type: Union(Expression Integer,...)
+--E 44
+
+--S 45 of 101
+d210:=integrate(f210,x=0..%plusInfinity)
+--R 
+--R
+--R          +---+
+--R         \|%pi
+--R   (40)  ------
+--R            2
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 45
+
+--S 46 of 101
+a210:=sqrt(%pi)/2
+--R 
+--R
+--R          +---+
+--R         \|%pi
+--R   (41)  ------
+--R            2
+--R                                                     Type: Expression Integer
+--E 46
+
+--S 47 of 101
+r210:=""
+--R 
+--R
+--R   (42)  ""
+--R                                                                 Type: String
+--E 47
+
+--S 48 of 101
+f212:=sech(x)^2
+--R 
+--R
+--R                2
+--R   (43)  sech(x)
+--R                                                     Type: Expression Integer
+--E 48
+
+--S 49 of 101
+i212:=integrate(f212,x)
+--R 
+--R
+--R                               2
+--R   (44)  - -----------------------------------------
+--R                  2                            2
+--R           sinh(x)  + 2cosh(x)sinh(x) + cosh(x)  + 1
+--R                                          Type: Union(Expression Integer,...)
+--E 49
+
+--S 50 of 101
+d212:=integrate(f212,x=%minusInfinity..%plusInfinity)
+--R 
+--R
+--R   (45)  potentialPole
+--R                                         Type: Union(pole: potentialPole,...)
+--E 50
+
+--S 51 of 101
+a212:=2
+--R 
+--R
+--R   (46)  2
+--R                                                        Type: PositiveInteger
+--E 51
+
+--S 52 of 101
+r212:=""
+--R 
+--R
+--R   (47)  ""
+--R                                                                 Type: String
+--E 52
+
+--S 53 of 101
+fa238:=exp(-x)*sin(w*x)
+--R 
+--R
+--R           - x
+--R   (48)  %e   sin(w x)
+--R                                                     Type: Expression Integer
+--E 53
+
+--S 54 of 101
+ia238:=integrate(fa238,x)
+--R 
+--R
+--R             - x                       - x
+--R         - %e   sin(w x) - w cos(w x)%e
+--R   (49)  ---------------------------------
+--R                        2
+--R                       w  + 1
+--R                                          Type: Union(Expression Integer,...)
+--E 54
+
+--S 55 of 101
+da238:=integrate(fa238,x=0..%plusInfinity)
+--R 
+--R
+--R            w
+--R   (50)  ------
+--R          2
+--R         w  + 1
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 55
+
+--S 56 of 101
+aa238:=w/(1+w^2)
+--R 
+--R
+--R            w
+--R   (51)  ------
+--R          2
+--R         w  + 1
+--R                                            Type: Fraction Polynomial Integer
+--E 56
+
+--S 57 of 101
+ra238:=""
+--R 
+--R
+--R   (52)  ""
+--R                                                                 Type: String
+--E 57
+
+--S 58 of 101
+fb238:=(x/(1+x^2))*sin(w*x)
+--R 
+--R
+--R         x sin(w x)
+--R   (53)  ----------
+--R            2
+--R           x  + 1
+--R                                                     Type: Expression Integer
+--E 58
+
+--S 59 of 101
+ib238:=integrate(fb238,x)
+--R 
+--R
+--R            x
+--R          ++  %K sin(%K w)
+--R   (54)   |   ------------ d%K
+--R         ++        2
+--R                 %K  + 1
+--R                                          Type: Union(Expression Integer,...)
+--E 59
+
+--S 60 of 101
+db238:=integrate(fb238,x=0..%plusInfinity)
+--R 
+--R
+--R   (55)  "failed"
+--R                                                Type: Union(fail: failed,...)
+--E 60
+
+--S 61 of 101
+ab238:=%pi*exp(-w)/2
+--R 
+--R
+--R               - w
+--R         %pi %e
+--R   (56)  ---------
+--R             2
+--R                                                     Type: Expression Integer
+--E 61
+
+--S 62 of 101
+rb238:=""
+--R 
+--R
+--R   (57)  ""
+--R                                                                 Type: String
+--E 62
+
+--S 63 of 101
+f239:=sin(x/2)^2*sin(w*x)/x
+--R 
+--R
+--R             x 2
+--R         sin(-) sin(w x)
+--R             2
+--R   (58)  ---------------
+--R                x
+--R                                                     Type: Expression Integer
+--E 63
+
+--S 64 of 101
+i239:=integrate(f239,x)
+--R 
+--R
+--R                  %K 2
+--R            x sin(--) sin(%K w)
+--R          ++       2
+--R   (59)   |   ----------------- d%K
+--R         ++           %K
+--R                                          Type: Union(Expression Integer,...)
+--E 64
+
+--S 65 of 101
+d239:=integrate(f239,x=0..%plusInfinity)
+--R 
+--R
+--R   (60)  potentialPole
+--R                                         Type: Union(pole: potentialPole,...)
+--E 65
+
+--S 66 of 101
+a239a:=%pi/4
+--R 
+--R
+--R         %pi
+--R   (61)  ---
+--R          4
+--R                                                                     Type: Pi
+--E 66
+
+--S 67 of 101
+r239a:="w<1"
+--R 
+--R
+--R   (62)  "w<1"
+--R                                                                 Type: String
+--E 67
+
+--S 68 of 101
+a239b:=%pi/8
+--R 
+--R
+--R         %pi
+--R   (63)  ---
+--R          8
+--R                                                                     Type: Pi
+--E 68
+
+--S 69 of 101
+r239b:="w=1"
+--R 
+--R
+--R   (64)  "w=1"
+--R                                                                 Type: String
+--E 69
+
+--S 70 of 101
+a239c:=0
+--R 
+--R
+--R   (65)  0
+--R                                                     Type: NonNegativeInteger
+--E 70
+
+--S 71 of 101
+r239c:="w>1"
+--R 
+--R
+--R   (66)  "w>1"
+--R                                                                 Type: String
+--E 71
+
+--S 72 of 101
+f385:=x
+--R 
+--R
+--R   (67)  x
+--R                                                             Type: Variable x
+--E 72
+
+--S 73 of 101
+i385:=integrate(f385,x)
+--R 
+--R
+--R         1  2
+--R   (68)  - x
+--R         2
+--R                                            Type: Polynomial Fraction Integer
+--E 73
+
+--S 74 of 101
+d385:=integrate(f385,x=0..1)
+--R 
+--R
+--R         1
+--R   (69)  -
+--R         2
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 74
+
+--S 75 of 101
+a385:=1/2
+--R 
+--R
+--R         1
+--R   (70)  -
+--R         2
+--R                                                       Type: Fraction Integer
+--E 75
+
+--S 76 of 101
+r385:=""
+--R 
+--R
+--R   (71)  ""
+--R                                                                 Type: String
+--E 76
+
+--S 77 of 101
+f388:=x^2
+--R 
+--R
+--R          2
+--R   (72)  x
+--R                                                     Type: Polynomial Integer
+--E 77
+
+--S 78 of 101
+i388:=integrate(f388,x)
+--R 
+--R
+--R         1  3
+--R   (73)  - x
+--R         3
+--R                                            Type: Polynomial Fraction Integer
+--E 78
+
+--S 79 of 101
+d388:=integrate(f388,x=0..1)
+--R 
+--R
+--R         1
+--R   (74)  -
+--R         3
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 79
+
+--S 80 of 101
+a388:=1/3
+--R 
+--R
+--R         1
+--R   (75)  -
+--R         3
+--R                                                       Type: Fraction Integer
+--E 80
+
+--S 81 of 101
+a388:=""
+--R 
+--R
+--R   (76)  ""
+--R                                                                 Type: String
+--E 81
+
+--S 82 of 101
+fa453:=abs(x^2+y^2-0.25)
+--R 
+--R
+--R              2    2
+--R   (77)  abs(y  + x  - 0.25)
+--R                                                       Type: Expression Float
+--E 82
+
+--S 83 of 101
+ia453:=integrate(integrate(fa453,x),y)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--R                              Expression Float
+--R                                 Variable x
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 83
+
+--S 84 of 101
+da453:=integrate(integrate(fa453,x=-1..1),y=-1..1)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--R                              Expression Float
+--R                           SegmentBinding Integer
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 84
+
+--S 85 of 101
+aa453:=(5/3)+(%pi/16)
+--R 
+--R
+--R         3%pi + 80
+--R   (78)  ---------
+--R             48
+--R                                                                     Type: Pi
+--E 85
+
+--S 86 of 101
+ra453:="singularity along circle with radius = 1/2"
+--R 
+--R
+--R   (79)  "singularity along circle with radius = 1/2"
+--R                                                                 Type: String
+--E 86
+
+--S 87 of 101
+fb453:=1/(1-x*y)
+--R 
+--R
+--R              1
+--R   (80)  - -------
+--R           x y - 1
+--R                                            Type: Fraction Polynomial Integer
+--E 87
+
+--S 88 of 101
+ib453:=integrate(integrate(fb453,x),y)
+--R 
+--R
+--R            y
+--R          ++    log(%K x - 1)
+--R   (81)   |   - ------------- d%K
+--R         ++           %K
+--R                                          Type: Union(Expression Integer,...)
+--E 88
+
+--S 89 of 101
+db453:=integrate(integrate(fb453,x=0..1),y=0..1)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--RUnion(f1: OrderedCompletion Expression Integer,f2: List OrderedCompletion Expression Integer,fail: failed,pole: potentialPole)
+--R                      SegmentBinding NonNegativeInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 89
+
+--S 90 of 101
+ab453:=%pi^2/6
+--R 
+--R
+--R            2
+--R         %pi
+--R   (82)  ----
+--R           6
+--R                                                                     Type: Pi
+--E 90
+
+--S 91 of 101
+rb453:=""
+--R 
+--R
+--R   (83)  ""
+--R                                                                 Type: String
+--E 91
+
+--S 92 of 101
+fc453:=sqrt(abs(x-y))
+--R 
+--R
+--R          +----------+
+--R   (84)  \|abs(y - x)
+--R                                                     Type: Expression Integer
+--E 92
+
+--S 93 of 101
+ic453:=integrate(integrate(fc453,x),y)
+--R 
+--R 
+--RDaly Bug
+--R   >> Error detected within library code:
+--R   Sorry - cannot handle that integrand yet
+--R
+--R   Continuing to read the file...
+--R
+--E 93
+
+--S 94 of 101
+dc453:=integrate(integrate(fc453,x=0..1),y=0..1)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--RUnion(f1: OrderedCompletion Expression Integer,f2: List OrderedCompletion Expression Integer,fail: failed,pole: potentialPole)
+--R                      SegmentBinding NonNegativeInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 94
+
+--S 95 of 101
+ac453:=8/15
+--R 
+--R
+--R          8
+--R   (85)  --
+--R         15
+--R                                                       Type: Fraction Integer
+--E 95
+
+--S 96 of 101
+rc453:="singularity along x=y"
+--R 
+--R
+--R   (86)  "singularity along x=y"
+--R                                                                 Type: String
+--E 96
+
+--S 97 of 101
+f455:=abs(x^2+y^2+z^2-.125)
+--R 
+--R
+--R              2    2    2
+--R   (87)  abs(z  + y  + x  - 0.125)
+--R                                                       Type: Expression Float
+--E 97
+
+--S 98 of 101
+i455:=integrate(integrate(integrate(f455,x),y),z)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--R                              Expression Float
+--R                                 Variable x
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 98
+
+--S 99 of 101
+d455:=integrate(integrate(integrate(f455,x=-1..1),y=-1..1),z=-1..1)
+--R 
+--R   There are 15 exposed and 7 unexposed library operations named 
+--R      integrate having 2 argument(s) but none was determined to be 
+--R      applicable. Use HyperDoc Browse, or issue
+--R                            )display op integrate
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      integrate with argument type(s) 
+--R                              Expression Float
+--R                           SegmentBinding Integer
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 99
+
+--S 100 of 101
+a455:=7+%pi/120
+--R 
+--R
+--R         %pi + 840
+--R   (88)  ---------
+--R            120
+--R                                                                     Type: Pi
+--E 100
+
+--S 101 of 101
+r455:="singularity along sphere of radius 1/2"
+--R 
+--R
+--R   (89)  "singularity along sphere of radius 1/2"
+--R                                                                 Type: String
+--E 101
+
+)spool 
+)lisp (bye)
+ 
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff -Nru axiom-20110301a/src/input/erf.input.pamphlet axiom-20111101/src/input/erf.input.pamphlet
--- axiom-20110301a/src/input/erf.input.pamphlet	1970-01-01 00:00:00.000000000 +0000
+++ axiom-20111101/src/input/erf.input.pamphlet	2011-12-01 04:03:15.000000000 +0000
@@ -0,0 +1,70 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input erf.input}
+\author{Waldek Hebisch}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)spool erf.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 4
+i:=integrate(exp(-a^2*p^2),p=b..c)
+--R
+--R                              +---+
+--R        (erf(a c) - erf(a b))\|%pi
+--R   (1)  ---------------------------
+--R                     2a
+--R                    Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 1
+
+--S 2 of 4
+eval(i,[erf(a*c)=1,erf(a*b)=0])
+--R
+--R         +---+
+--R        \|%pi
+--R   (2)  ------
+--R          2a
+--R                                                     Type: Expression Integer
+--E 2
+
+--S 3 of 4
+intrule:=rule integral(exp(-a*p^2),p) == sqrt(%pi)/sqrt(a)
+--R
+--R           p       2          +---+
+--R         ++    - %I a        \|%pi
+--R   (3)   |   %e      d%I  == ------
+--R        ++                     +-+
+--R                              \|a
+--R                        Type: RewriteRule(Integer,Integer,Expression Integer)
+--E 3
+
+--S 4 of 4
+intrule integral(exp(-a*p^2),p)
+--R
+--R         +---+
+--R        \|%pi
+--R   (4)  ------
+--R          +-+
+--R         \|a
+--R                                                     Type: Expression Integer
+--E 4
+
+)spool 
+)lisp (bye)
+ 
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff -Nru axiom-20110301a/src/input/ffieldbug.input.pamphlet axiom-20111101/src/input/ffieldbug.input.pamphlet
--- axiom-20110301a/src/input/ffieldbug.input.pamphlet	1970-01-01 00:00:00.000000000 +0000
+++ axiom-20111101/src/input/ffieldbug.input.pamphlet	2011-12-01 04:03:15.000000000 +0000
@@ -0,0 +1,313 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input ffieldbug.input}
+\author{Paul Onions, Ralf Hemmecke}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)spool ffieldbug.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 29
+gf2 := PrimeField 2
+--R 
+--R
+--R   (1)  PrimeField 2
+--R                                                                 Type: Domain
+--E 1
+
+--S 2 of 29
+gf16 := FiniteFieldExtensionByPolynomial(gf2,x**4+x+1)
+--R 
+--R
+--R   (2)  FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--R                                                                 Type: Domain
+--E 2
+
+--S 3 of 29
+a:=primitiveElement()$gf16
+--R 
+--R
+--R   (3)  %A
+--R                Type: FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 3
+
+--S 4 of 29
+p:POLY gf16:=a*x**3
+--R 
+--R
+--R            3
+--R   (4)  %A x
+--R     Type: Polynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 4
+
+--S 5 of 29
+q:POLY gf16:=a*x**2+1
+--R 
+--R
+--R            2
+--R   (5)  %A x  + 1
+--R     Type: Polynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 5
+
+--S 6 of 29
+p rem q
+--R 
+--R 
+--RDaly Bug
+--R   >> Error detected within library code:
+--R   coerce: element doesn't belong to smaller field
+--R
+--R   Continuing to read the file...
+--R
+--E 6
+
+)clear all
+ 
+--S 7 of 29
+gf2 := PrimeField 2
+--R 
+--R
+--R   (1)  PrimeField 2
+--R                                                                 Type: Domain
+--E 7
+
+--S 8 of 29
+gf16:=FiniteFieldExtension(gf2,4)
+--R 
+--R
+--R   (2)  FiniteFieldExtension(PrimeField 2,4)
+--R                                                                 Type: Domain
+--E 8
+
+--S 9 of 29
+a:=primitiveElement()$gf16
+--R 
+--R
+--R   (3)  %A
+--R                                   Type: FiniteFieldExtension(PrimeField 2,4)
+--E 9
+
+--S 10 of 29
+p:POLY gf16:=a*x**3
+--R 
+--R
+--R            3
+--R   (4)  %A x
+--R                        Type: Polynomial FiniteFieldExtension(PrimeField 2,4)
+--E 10
+
+--S 11 of 29
+q:POLY gf16:=a*x**2+1
+--R 
+--R
+--R            2
+--R   (5)  %A x  + 1
+--R                        Type: Polynomial FiniteFieldExtension(PrimeField 2,4)
+--E 11
+
+--S 12 of 29
+p rem q
+--R 
+--R 
+--RDaly Bug
+--R   >> Error detected within library code:
+--R   coerce: element doesn't belong to smaller field
+--R
+--R   Continuing to read the file...
+--R
+--E 12
+
+)clear all
+ 
+--S 13 of 29
+gf2 := PrimeField 2
+--R 
+--R
+--R   (1)  PrimeField 2
+--R                                                                 Type: Domain
+--E 13
+
+--S 14 of 29
+gf16:=FiniteField(2,4)
+--R 
+--R
+--R   (2)  FiniteField(2,4)
+--R                                                                 Type: Domain
+--E 14
+
+--S 15 of 29
+a:=primitiveElement()$gf16
+--R 
+--R
+--R   (3)  %A
+--R                                                       Type: FiniteField(2,4)
+--E 15
+
+--S 16 of 29
+p:POLY gf16:=a*x**3
+--R 
+--R
+--R            3
+--R   (4)  %A x
+--R                                            Type: Polynomial FiniteField(2,4)
+--E 16
+
+--S 17 of 29
+q:POLY gf16:=a*x**2+1
+--R 
+--R
+--R            2
+--R   (5)  %A x  + 1
+--R                                            Type: Polynomial FiniteField(2,4)
+--E 17
+
+--S 18 of 29
+p rem q
+--R 
+--R
+--R   (6)  x
+--R                               Type: UnivariatePolynomial(x,FiniteField(2,4))
+--E 18
+
+
+\end{chunk}
+Ralf Hemmecke comments:
+\begin{verbatim}
+Yes, I'd say that this is abug. But maybe from the following transcript
+you can see what is happening.
+
+Why have I used SUP? Well, Polynomial is a domain that can hold
+polynomials in any variable. In fact, it's not a univariate polynomial
+domain. So if you say p rem q, it has to figure out what you could
+have meant. Well, your polynomials are univariate, so (I guess - I
+haven't actually looked at the source code) internally p and q will be
+coerced to a univariate polynomial (i.e. to type SUP(gf16)). As you see
+below, for some reason, I don't yet understand, this goes wrong. ...
+
+I have no idea why coercion with FiniteField(2,4) works, but not with
+FiniteFieldExtensionByPolynomial(PrimeField(2),?^4+?+1).
+
+\end{verbatim}
+\begin{chunk}{*}
+
+)clear all
+
+--S 19 of 29
+gf2:=PrimeField 2
+--R 
+--R
+--R   (1)  PrimeField 2
+--R                                                                 Type: Domain
+--E 19
+
+--S 20 of 29
+gf16:=FiniteFieldExtensionByPolynomial(gf2,x**4+x+1)
+--R 
+--R
+--R   (2)  FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--R                                                                 Type: Domain
+--E 20
+
+--S 21 of 29
+P:=SUP gf16
+--R 
+--R
+--R   (3)
+--R  SparseUnivariatePolynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4
+--R  +?+1)
+--R                                                                 Type: Domain
+--E 21
+
+--S 22 of 29
+a:gf16:=primitiveElement()
+--R 
+--R
+--R   (4)  %A
+--R                Type: FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 22
+
+--S 23 of 29
+p:P:=a*x^3
+--R 
+--R 
+--RDaly Bug
+--R   >> Error detected within library code:
+--R   coerce: element doesn't belong to smaller field
+--R
+--R   Continuing to read the file...
+--R
+--E 23
+
+--S 24 of 29
+m:P:=monomial(1,1)
+--R 
+--R
+--R   (5)  ?
+--RType: SparseUnivariatePolynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 24
+
+--S 25 of 29
+p:P:=a*m^3
+--R 
+--R
+--R            3
+--R   (6)  %A ?
+--RType: SparseUnivariatePolynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 25
+
+--S 26 of 29
+q:P:=a*x^2+1
+--R 
+--R 
+--RDaly Bug
+--R   >> Error detected within library code:
+--R   coerce: element doesn't belong to smaller field
+--R
+--R   Continuing to read the file...
+--R
+--E 26
+
+--S 27 of 29
+a:=primitiveElement()$gf16
+--R 
+--R
+--R   (7)  %A
+--R                Type: FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 27
+
+--S 28 of 29
+q:P:=a*m^2+1
+--R 
+--R
+--R            2
+--R   (8)  %A ?  + 1
+--RType: SparseUnivariatePolynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 28
+
+--S 29 of 29
+p rem q
+--R 
+--R
+--R   (9)  ?
+--RType: SparseUnivariatePolynomial FiniteFieldExtensionByPolynomial(PrimeField 2,?**4+?+1)
+--E 29
+
+)spool 
+)lisp (bye)
+ 
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff -Nru axiom-20110301a/src/input/Makefile.pamphlet axiom-20111101/src/input/Makefile.pamphlet
--- axiom-20110301a/src/input/Makefile.pamphlet	2011-03-29 05:45:36.000000000 +0000
+++ axiom-20111101/src/input/Makefile.pamphlet	2011-12-01 04:03:15.000000000 +0000
@@ -83,10 +83,16 @@
 ${DOC}/%.input.dvi: ${IN}/%.input.pamphlet ${DOC}/axiom.sty
 	@ echo generic 14 making ${DOC}/$*.input.dvi from \
                ${IN}/$*.input.pamphlet
-	@ (cd ${DOC} ; \
+	@ if [ "${BUILD}" = "full" ] ; then \
+	( cd ${DOC} ; \
 	cp ${IN}/$*.input.pamphlet ${DOC} ; \
 	latex $*.input.pamphlet ; \
-	rm -f ${DOC}/$*.input.pamphlet )
+	dvipdf $*.input.dvi ; \
+	rm -f ${DOC}/$*.input.pamphlet ; \
+	rm -f ${DOC}/$*.input.dvi ; \
+	rm -f ${DOC}/$*.input.aux ; \
+	rm -f ${DOC}/$*.input.log ; \
+	rm -f ${DOC}/$*.input.toc ) ; fi
 
 ${DOC}/%.as.dvi: ${IN}/%.as.pamphlet 
 	@ echo generic 15 making ${DOC}/$*.as.dvi from ${IN}/$*.as.pamphlet
@@ -301,6 +307,7 @@
     curl.regress      curry.regress    cwmmt.regress \
     cycles1.regress   cycles.regress   cyfactor.regress \
     danzwill.regress  danzwill2.regress  davenport.regress \
+    davis.regress \
     decimal.regress   defintef.regress defintrf.regress \
     derham.regress    derivefail.regress \
     dfloat.regress    dftrig.regress \
@@ -313,13 +320,15 @@
     eigen.regress     elemfun.regress  elemnum.regress  elfuts.regress \
     elt.regress       en.regress \
     eq.regress        eqtbl.regress    equation2.regress \
-    equation.regress  evalex.regress   eval.regress     exdiff.regress \
+    equation.regress  erf.regress \
+    evalex.regress   eval.regress     exdiff.regress \
     exampleagcode.regress \
     exint.regress     exit.regress     exlap.regress    exlimit.regress \
     exp.regress \
     expexpan.regress  explim.regress   expr1.regress    exprode.regress \
     expr.regress      exseries.regress exsum.regress    exprpoly.regress \
-    farray.regress    ffdemo.regress   fferr.regress    ffx72.regress \
+    farray.regress    ffdemo.regress   fferr.regress    ffieldbug.regress \
+    ffx72.regress \
     fib.regress       finitegraph.regress \
     file.regress      fixed.regress \
     float1.regress    float2.regress \
@@ -386,7 +395,8 @@
     stbl.regress      stream2.regress  stream.regress   streams.regress \
     string.regress    strtbl.regress   summation.regress \
     symbol.regress    t111293.regress  table.regress    tancot.regress \
-    tanhcoth.regress  tanatan.regress  tbagg.regress    test.regress \
+    tanhcoth.regress  tanatan.regress  tbagg.regress    telford.regress \
+    test.regress \
     testprob.regress  textfile.regress torus.regress    tuplebug.regress \
     tpiezas001.regress \
     tpiezas002.regress \
@@ -647,7 +657,7 @@
        ${OUT}/cycloid2.input \
        ${OUT}/cycloid3.input ${OUT}/cyfactor.input   ${OUT}/damped.input \
        ${OUT}/danzwill.input ${OUT}/danzwill2.input  ${OUT}/davenport.input \
-       ${OUT}/decimal.input    ${OUT}/defs.input \
+       ${OUT}/davis.input    ${OUT}/decimal.input    ${OUT}/defs.input \
        ${OUT}/defintef.input ${OUT}/defintrf.input   ${OUT}/derham.input \
        ${OUT}/derivefail.input ${OUT}/de2re.input \
        ${OUT}/dfloat.input   ${OUT}/dftrig.input     ${OUT}/dhmatrix.input \
@@ -671,7 +681,8 @@
        ${OUT}/explim.input   ${OUT}/explot2d.input   ${OUT}/explot3d.input \
        ${OUT}/expr1.input    ${OUT}/exprpoly.input \
        ${OUT}/farray.input   ${OUT}/ffdemo.input \
-       ${OUT}/fferr.input    ${OUT}/ffrac.input      ${OUT}/ffx72.input \
+       ${OUT}/fferr.input    ${OUT}/ffrac.input      ${OUT}/ffieldbug.input \
+       ${OUT}/ffx72.input \
        ${OUT}/fib.input      ${OUT}/finitegraph.input \
        ${OUT}/fixed.input \
        ${OUT}/file.input     ${OUT}/float2.input \
@@ -787,7 +798,8 @@
        ${OUT}/symbol.input \
        ${OUT}/synonym.input  ${OUT}/t111293.input \
        ${OUT}/table.input    ${OUT}/tancot.input     ${OUT}/tanhcoth.input \
-       ${OUT}/tanatan.input  ${OUT}/tbagg.input      ${OUT}/test.input \
+       ${OUT}/tanatan.input  ${OUT}/tbagg.input      ${OUT}/telford.input \
+       ${OUT}/test.input \
        ${OUT}/testprob.input \
        ${OUT}/tetra.input    ${OUT}/textfile.input   ${OUT}/tknot.input \
        ${OUT}/tpiezas001.input \
@@ -810,7 +822,8 @@
 
 FILES2=${OUT}/arith.input    ${OUT}/bugs.input \
        ${OUT}/calculus2.input \
-       ${OUT}/equation2.input ${OUT}/evalex.input ${OUT}/exampleagcode.input \
+       ${OUT}/equation2.input ${OUT}/erf.input \
+       ${OUT}/evalex.input ${OUT}/exampleagcode.input \
        ${OUT}/exdiff.input   ${OUT}/exint.input      ${OUT}/exlap.input \
        ${OUT}/exlimit.input  \
        ${OUT}/expr.input     ${OUT}/exprode.input    ${OUT}/exseries.input \
@@ -946,6 +959,7 @@
   ${DOC}/d03eef.input.dvi      ${DOC}/d03faf.input.dvi     \
   ${DOC}/damped.input.dvi      ${DOC}/danzwill.input.dvi   \
   ${DOC}/danzwill2.input.dvi   ${DOC}/davenport.input.dvi  \
+  ${DOC}/davis.input.dvi \
   ${DOC}/de2re.input.dvi       ${DOC}/decimal.input.dvi    \
   ${DOC}/defintef.input.dvi    ${DOC}/defintrf.input.dvi   \
   ${DOC}/defs.input.dvi        ${DOC}/derham.input.dvi     \
@@ -988,7 +1002,8 @@
   ${DOC}/en.input.dvi \
   ${DOC}/eq.input.dvi          ${DOC}/eqtbl.input.dvi      \
   ${DOC}/equation2.input.dvi   ${DOC}/equation.input.dvi   \
-  ${DOC}/errortrap.input.dvi   ${DOC}/evalex.input.dvi     \
+  ${DOC}/errortrap.input.dvi   ${DOC}/erf.input.dvi        \
+  ${DOC}/evalex.input.dvi     \
   ${DOC}/eval.input.dvi        ${DOC}/exdiff.input.dvi     \
   ${DOC}/exampleagcode.input.dvi \
   ${DOC}/exint.input.dvi       ${DOC}/exit.input.dvi       \
@@ -1021,6 +1036,7 @@
   ${DOC}/f07fdf.input.dvi      ${DOC}/f07fef.input.dvi     \
   ${DOC}/farray.input.dvi      ${DOC}/ffdemo.input.dvi     \
   ${DOC}/fferr.input.dvi       ${DOC}/ffrac.input.dvi      \
+  ${DOC}/ffieldbug.input.dvi \
   ${DOC}/ffx72.input.dvi       ${DOC}/fib.input.dvi        \
   ${DOC}/finitegraph.input.dvi \
   ${DOC}/file.input.dvi        ${DOC}/fixed.input.dvi      \
@@ -1242,7 +1258,7 @@
   ${DOC}/synonym.input.dvi     ${DOC}/t111293.input.dvi    \
   ${DOC}/table.input.dvi       ${DOC}/tanatan.input.dvi    \
   ${DOC}/tancot.input.dvi      ${DOC}/tanhcoth.input.dvi   \
-  ${DOC}/tbagg.input.dvi       \
+  ${DOC}/tbagg.input.dvi       ${DOC}/telford.input.dvi    \
   ${DOC}/test.input.dvi        ${DOC}/tetra.input.dvi      \
   ${DOC}/textfile.input.dvi    ${DOC}/tknot.input.dvi      \
   ${DOC}/torus.input.dvi       ${DOC}/testprob.input.dvi   \
diff -Nru axiom-20110301a/src/input/setcmd.input.pamphlet axiom-20111101/src/input/setcmd.input.pamphlet
--- axiom-20110301a/src/input/setcmd.input.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/input/setcmd.input.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -412,45 +412,16 @@
 --R The current setting is -lxlf 
 --E 27
 
---S 28 of 143
-)set kernel
---R                   Current Values of  kernel  Variables                    
---R
---RVariable     Description                                Current Value
---R-----------------------------------------------------------------------------
---Rwarn         warn when re-definition is attempted       off 
---Rprotect      prevent re-definition of kernel functions  off 
---R
+--S 28 of 143 no longer supported
+--)set kernel
 --E 28
 
---S 29 of 143
-)set kernel warn
---R----------------------------- The warn Option -----------------------------
---R
---R Description: warn when re-definition is attempted
---R
---RSome AXIOM library functions are compiled into the kernel for efficiency
---Rreasons.  To prevent them being re-defined when loaded from a library
---Rthey are specially protected.  If a user wishes to know when an attempt
---Ris made to re-define such a function, he or she should issue the command:
---R        )set kernel warn on
---RTo restore the default behaviour, he or she should issue the command:
---R        )set kernel warn off
+--S 29 of 143 no longer supported
+--)set kernel warn
 --E 29
 
---S 30 of 143
-)set kernel protect
---R--------------------------- The protect Option ----------------------------
---R
---R Description: prevent re-definition of kernel functions
---R
---RSome AXIOM library functions are compiled into the kernel for efficiency
---Rreasons.  To prevent them being re-defined when loaded from a library
---Rthey are specially protected.  If a user wishes to re-define these
---Rfunctions, he or she should issue the command:
---R        )set kernel protect off
---RTo restore the default behaviour, he or she should issue the command:
---R        )set kernel protect on
+--S 30 of 143 no longer supported
+--)set kernel protect
 --E 30
 
 --S 31 of 143
diff -Nru axiom-20110301a/src/input/telford.input.pamphlet axiom-20111101/src/input/telford.input.pamphlet
--- axiom-20110301a/src/input/telford.input.pamphlet	1970-01-01 00:00:00.000000000 +0000
+++ axiom-20111101/src/input/telford.input.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -0,0 +1,64 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input telford.input}
+\author{T.Doug Telford}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)spool telford.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 5
+p(0)==1
+--R                                                                   Type: Void
+--E 1
+
+--S 2 of 5
+p(1)==x
+--R                                                                   Type: Void
+--E 2
+
+--S 3 of 5
+p(n)==((2*n-1)*x*p(n-1)-(n-1)*p(n-2))/n
+--R                                                                   Type: Void
+--E 3
+
+--S 4 of 5
+p(10)
+--R   Compiling function p with type Integer -> Polynomial Fraction 
+--R      Integer 
+--R   Compiling function p as a recurrence relation.
+--R
+--R        46189  10   109395  8   45045  6   15015  4   3465  2    63
+--R   (4)  ----- x   - ------ x  + ----- x  - ----- x  + ---- x  - ---
+--R         256          256        128        128        256      256
+--R                                            Type: Polynomial Fraction Integer
+--E 4
+
+--S 5 of 5
+coefficient(p(10),x,10)
+--R
+--R        46189
+--R   (5)  -----
+--R         256
+--R                                            Type: Polynomial Fraction Integer
+--E 5
+
+)spool 
+)lisp (bye)
+ 
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff -Nru axiom-20110301a/src/input/unittest1.input.pamphlet axiom-20111101/src/input/unittest1.input.pamphlet
--- axiom-20110301a/src/input/unittest1.input.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/input/unittest1.input.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -1214,75 +1214,31 @@
 hard coded some internal functions so they could not be changed.
 \begin{chunk}{*}
 
---S 71 of 97
-)set kernel
---R                   Current Values of  kernel  Variables                    
---R
---RVariable     Description                                Current Value
---R-----------------------------------------------------------------------------
---Rwarn         warn when re-definition is attempted       off 
---Rprotect      prevent re-definition of kernel functions  off 
---R
+--S 71 of 97 no longer supported
+--)set kernel
 --E 71
 
---S 72 of 97
-)set kernel warn
---R----------------------------- The warn Option -----------------------------
---R
---R Description: warn when re-definition is attempted
---R
---RSome AXIOM library functions are compiled into the kernel for efficiency
---Rreasons.  To prevent them being re-defined when loaded from a library
---Rthey are specially protected.  If a user wishes to know when an attempt
---Ris made to re-define such a function, he or she should issue the command:
---R        )set kernel warn on
---RTo restore the default behaviour, he or she should issue the command:
---R        )set kernel warn off
+--S 72 of 97 no longer supported
+--)set kernel warn
 --E 72
 
---S 73 of 97
-)set kernel warn on
+--S 73 of 97 no longer supported
+--)set kernel warn on
 --E 73
 
---S 74 of 97
-)set kernel
---R                   Current Values of  kernel  Variables                    
---R
---RVariable     Description                                Current Value
---R-----------------------------------------------------------------------------
---Rwarn         warn when re-definition is attempted       off 
---Rprotect      prevent re-definition of kernel functions  off 
---R
---E 74
+--S 74 of 97 no longer supported
+--)set kernel
 
---S 75 of 97
-)set kernel protect
---R--------------------------- The protect Option ----------------------------
---R
---R Description: prevent re-definition of kernel functions
---R
---RSome AXIOM library functions are compiled into the kernel for efficiency
---Rreasons.  To prevent them being re-defined when loaded from a library
---Rthey are specially protected.  If a user wishes to re-define these
---Rfunctions, he or she should issue the command:
---R        )set kernel protect off
---RTo restore the default behaviour, he or she should issue the command:
---R        )set kernel protect on
+--S 75 of 97 no longer supported
+--)set kernel protect
 --E 75
 
---S 76 of 97
-)set kernel protect on
+--S 76 of 97 no longer supported
+--)set kernel protect on
 --E 76
 
---S 77 of 97
-)set kernel
---R                   Current Values of  kernel  Variables                    
---R
---RVariable     Description                                Current Value
---R-----------------------------------------------------------------------------
---Rwarn         warn when re-definition is attempted       off 
---Rprotect      prevent re-definition of kernel functions  off 
---R
+--S 77 of 97 no longer supported
+--)set kernel
 --E 77
 
 --S 78 of 97
diff -Nru axiom-20110301a/src/input/unittest2.input.pamphlet axiom-20111101/src/input/unittest2.input.pamphlet
--- axiom-20110301a/src/input/unittest2.input.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/input/unittest2.input.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -1316,7 +1316,7 @@
 --S 212 of 236
 )lisp (identity |$setOptions|)
 --R 
---RValue = ((|breakmode| "execute break processing on error" |interpreter| LITERALS |$BreakMode| (|nobreak| |break| |query| |resume| |fastlinks| |quit|) |nobreak|) (|compiler| "Library compiler options" |interpreter| TREE |novar| ((|output| "library in which to place compiled code" |interpreter| FUNCTION |setOutputLibrary| NIL |htSetOutputLibrary|) (|input| "controls libraries from which to load compiled code" |interpreter| FUNCTION |setInputLibrary| NIL |htSetInputLibrary|))) (|debug| "debug options" |interpreter| TREE |novar| ((|lambdatype| "show type information for #1 syntax" |interpreter| LITERALS $LAMBDATYPE (|on| |off|) |off|) (|dalymode| "Interpret leading open paren as lisp" |interpreter| LITERALS $DALYMODE (|on| |off|) |off|))) (|expose| "control interpreter constructor exposure" |interpreter| FUNCTION |setExpose| NIL |htSetExpose|) (|functions| "some interpreter function options" |interpreter| TREE |novar| ((|cache| "number of function results to cache" |interpreter| FUNCTION |setFunctionsCache| NIL |htSetCache|) (|compile| "compile, don't just define function bodies" |interpreter| LITERALS |$compileDontDefineFunctions| (|on| |off|) |on|) (|recurrence| "specially compile recurrence relations" |interpreter| LITERALS |$compileRecurrence| (|on| |off|) |on|))) (|fortran| "view and set options for FORTRAN output" |interpreter| TREE |novar| ((|ints2floats| "where sensible, coerce integers to reals" |interpreter| LITERALS |$fortInts2Floats| (|on| |off|) |on|) (|fortindent| "the number of characters indented" |interpreter| INTEGER |$fortIndent| (0 NIL) 6) (|fortlength| "the number of characters on a line" |interpreter| INTEGER |$fortLength| (1 NIL) 72) (|typedecs| "print type and dimension lines" |interpreter| LITERALS |$printFortranDecs| (|on| |off|) |on|) (|defaulttype| "default generic type for FORTRAN object" |interpreter| LITERALS |$defaultFortranType| (REAL INTEGER COMPLEX LOGICAL CHARACTER) REAL) (|precision| "precision of generated FORTRAN objects" |interpreter| LITERALS |$fortranPrecision| (|single| |double|) |double|) (|intrinsic| "whether to use INTRINSIC FORTRAN functions" |interpreter| LITERALS |$useIntrinsicFunctions| (|on| |off|) |off|) (|explength| "character limit for FORTRAN expressions" |interpreter| INTEGER |$maximumFortranExpressionLength| (0 NIL) 1320) (|segment| "split long FORTRAN expressions" |interpreter| LITERALS |$fortranSegment| (|on| |off|) |on|) (|optlevel| "FORTRAN optimisation level" |interpreter| INTEGER |$fortranOptimizationLevel| (0 2) 0) (|startindex| "starting index for FORTRAN arrays" |interpreter| INTEGER |$fortranArrayStartingIndex| (0 1) 1) (|calling| "options for external FORTRAN calls" |interpreter| TREE |novar| ((|tempfile| "set location of temporary data files" |interpreter| FUNCTION |setFortTmpDir| (("enter directory name for which you have write-permission" DIRECTORY |$fortranTmpDir| |chkDirectory| "/tmp/")) NIL) (|directory| "set location of generated FORTRAN files" |interpreter| FUNCTION |setFortDir| (("enter directory name for which you have write-permission" DIRECTORY |$fortranDirectory| |chkDirectory| "./")) NIL) (|linker| "linker arguments (e.g. libraries to search)" |interpreter| FUNCTION |setLinkerArgs| (("enter linker arguments " STRING |$fortranLibraries| |chkDirectory| "-lxlf")) NIL))))) (|kernel| "library functions built into the kernel for efficiency" |interpreter| TREE |novar| ((|warn| "warn when re-definition is attempted" |interpreter| FUNCTION |protectedSymbolsWarning| NIL |htSetKernelWarn|) (|protect| "prevent re-definition of kernel functions" |interpreter| FUNCTION |protectSymbols| NIL |htSetKernelProtect|))) (|hyperdoc| "options in using HyperDoc" |interpreter| TREE |novar| ((|fullscreen| "use full screen for this facility" |interpreter| LITERALS |$fullScreenSysVars| (|on| |off|) |off|) (|mathwidth| "screen width for history output" |interpreter| INTEGER |$historyDisplayWidth| (0 NIL) 120))) (|help| "view and set some help options" |interpreter| TREE |novar| ((|fullscreen| "use fullscreen facility, if possible" |interpreter| LITERALS |$useFullScreenHelp| (|on| |off|) |on|))) (|history| "save workspace values in a history file" |interpreter| LITERALS |$HiFiAccess| (|on| |off|) |on|) (|messages| "show messages for various system features" |interpreter| TREE |novar| ((|any| "print the internal type of objects of domain Any" |interpreter| LITERALS |$printAnyIfTrue| (|on| |off|) |on|) (|autoload| "print file auto-load messages" |interpreter| LITERALS |$printLoadMsgs| (|on| |off|) |on|) (|bottomup| "display bottom up modemap selection" |development| LITERALS |$reportBottomUpFlag| (|on| |off|) |off|) (|coercion| "display datatype coercion messages" |development| LITERALS |$reportCoerceIfTrue| (|on| |off|) |off|) (|dropmap| "display old map defn when replaced" |interpreter| LITERALS |$displayDroppedMap| (|on| |off|) |off|) (|expose| "warning for unexposed functions" |interpreter| LITERALS |$giveExposureWarning| (|on| |off|) |off|) (|file| "print msgs also to SPADMSG LISTING" |development| LITERALS |$printMsgsToFile| (|on| |off|) |off|) (|frame| "display messages about frames" |interpreter| LITERALS |$frameMessages| (|on| |off|) |off|) (|highlighting| "use highlighting in system messages" |interpreter| LITERALS |$highlightAllowed| (|on| |off|) |off|) (|instant| "present instantiation summary" |development| LITERALS |$reportInstantiations| (|on| |off|) |off|) (|insteach| "present instantiation info" |development| LITERALS |$reportEachInstantiation| (|on| |off|) |off|) (|interponly| "say when function code is interpreted" |interpreter| LITERALS |$reportInterpOnly| (|on| |off|) |on|) (|naglink| "show NAGLink messages" |interpreter| LITERALS |$nagMessages| (|on| |off|) |on|) (|number| "display message number with message" |interpreter| LITERALS |$displayMsgNumber| (|on| |off|) |off|) (|prompt| "set type of input prompt to display" |interpreter| LITERALS |$inputPromptType| (|none| |frame| |plain| |step| |verbose|) |step|) (|selection| "display function selection msgs" |interpreter| LITERALS |$reportBottomUpFlag| (|on| |off|) |off|) (|set| "show )set setting after assignment" |interpreter| LITERALS |$displaySetValue| (|on| |off|) |off|) (|startup| "display messages on start-up" |interpreter| LITERALS |$displayStartMsgs| (|on| |off|) |on|) (|summary| "print statistics after computation" |interpreter| LITERALS |$printStatisticsSummaryIfTrue| (|on| |off|) |off|) (|testing| "print system testing header" |development| LITERALS |$testingSystem| (|on| |off|) |off|) (|time| "print timings after computation" |interpreter| LITERALS |$printTimeIfTrue| (|on| |off| |long|) |off|) (|type| "print type after computation" |interpreter| LITERALS |$printTypeIfTrue| (|on| |off|) |on|) (|void| "print Void value when it occurs" |interpreter| LITERALS |$printVoidIfTrue| (|on| |off|) |off|))) (|naglink| "options for NAGLink" |interpreter| TREE |novar| ((|host| "internet address of host for NAGLink" |interpreter| FUNCTION |setNagHost| (("enter host name" DIRECTORY |$nagHost| |chkDirectory| "localhost")) NIL) (|persistence| "number of (fortran) functions to remember" |interpreter| FUNCTION |setFortPers| (("Requested remote storage (for asps):" INTEGER |$fortPersistence| (0 NIL) 10)) NIL) (|messages| "show NAGLink messages" |interpreter| LITERALS |$nagMessages| (|on| |off|) |on|) (|double| "enforce DOUBLE PRECISION ASPs" |interpreter| LITERALS |$nagEnforceDouble| (|on| |off|) |on|))) (|output| "view and set some output options" |interpreter| TREE |novar| ((|abbreviate| "abbreviate type names" |interpreter| LITERALS |$abbreviateTypes| (|on| |off|) |off|) (|algebra| "display output in algebraic form" |interpreter| FUNCTION |setOutputAlgebra| (("display output in algebraic form" LITERALS |$algebraFormat| (|off| |on|) |on|) (BREAK $ALGEBRAFORMAT) ("where algebra printing goes (enter {em console} or a pathname)?" FILENAME |$algebraOutputFile| |chkOutputFileName| "console")) NIL) (|characters| "choose special output character set" |interpreter| FUNCTION |setOutputCharacters| NIL |htSetOutputCharacters|) (|fortran| "create output in FORTRAN format" |interpreter| FUNCTION |setOutputFortran| (("create output in FORTRAN format" LITERALS |$fortranFormat| (|off| |on|) |off|) (|break| |$fortranFormat|) ("where FORTRAN output goes (enter {em console} or a a pathname)" FILENAME |$fortranOutputFile| |chkOutputFileName| "console")) NIL) (|fraction| "how fractions are formatted" |interpreter| LITERALS |$fractionDisplayType| (|vertical| |horizontal|) |vertical|) (|html| "create output in HTML style" |interpreter| FUNCTION |setOutputHtml| (("create output in HTML format" LITERALS |$htmlFormat| (|off| |on|) |off|) (|break| |$htmlFormat|) ("where HTML output goes (enter {em console} or a pathname)" FILENAME |$htmlOutputFile| |chkOutputFileName| "console")) NIL) (|length| "line length of output displays" |interpreter| INTEGER $LINELENGTH (10 245) 77) (|mathml| "create output in MathML style" |interpreter| FUNCTION |setOutputMathml| (("create output in MathML format" LITERALS |$mathmlFormat| (|off| |on|) |off|) (|break| |$mathmlFormat|) ("where MathML output goes (enter {em console} or a pathname)" FILENAME |$mathmlOutputFile| |chkOutputFileName| "console")) NIL) (|openmath| "create output in OpenMath style" |interpreter| FUNCTION |setOutputOpenMath| (("create output in OpenMath format" LITERALS |$openMathFormat| (|off| |on|) |off|) (|break| |$openMathFormat|) ("where TeX output goes (enter {em console} or a pathname)" FILENAME |$openMathOutputFile| |chkOutputFileName| "console")) NIL) (|script| "display output in SCRIPT formula format" |interpreter| FUNCTION |setOutputFormula| (("display output in SCRIPT format" LITERALS |$formulaFormat| (|off| |on|) |off|) (|break| |$formulaFormat|) ("where script output goes (enter {em console} or a a pathname)" FILENAME |$formulaOutputFile| |chkOutputFileName| "console")) NIL) (|scripts| "show subscripts,... linearly" |interpreter| LITERALS |$linearFormatScripts| (|on| |off|) |off|) (|showeditor| "view output of )show in editor" |interpreter| LITERALS |$useEditorForShowOutput| (|on| |off|) |off|) (|tex| "create output in TeX style" |interpreter| FUNCTION |setOutputTex| (("create output in TeX format" LITERALS |$texFormat| (|off| |on|) |off|) (|break| |$texFormat|) ("where TeX output goes (enter {em console} or a pathname)" FILENAME |$texOutputFile| |chkOutputFileName| "console")) NIL))) (|quit| "protected or unprotected quit" |interpreter| LITERALS |$quitCommandType| (|protected| |unprotected|) |protected|) (|streams| "set some options for working with streams" |interpreter| TREE |novar| ((|calculate| "specify number of elements to calculate" |interpreter| FUNCTION |setStreamsCalculate| (("number of initial stream elements you want calculated" INTEGER |$streamCount| (0 NIL) 10)) NIL) (|showall| "display all stream elements computed" |interpreter| LITERALS |$streamsShowAll| (|on| |off|) |off|))) (|system| "set some system development variables" |development| TREE |novar| ((|functioncode| "show gen. LISP for functions when compiled" |development| LITERALS |$reportCompilation| (|on| |off|) |off|) (|optimization| "show optimized LISP code" |development| LITERALS |$reportOptimization| (|on| |off|) |off|) (|prettyprint| "prettyprint BOOT func's as they compile" |development| LITERALS $PRETTYPRINT (|on| |off|) |on|))) (|userlevel| "operation access level of system user" |interpreter| LITERALS |$UserLevel| (|interpreter| |compiler| |development|) |development|))
+--RValue = ((|breakmode| "execute break processing on error" |interpreter| LITERALS |$BreakMode| (|nobreak| |break| |query| |resume| |fastlinks| |quit|) |nobreak|) (|compiler| "Library compiler options" |interpreter| TREE |novar| ((|output| "library in which to place compiled code" |interpreter| FUNCTION |setOutputLibrary| NIL |htSetOutputLibrary|) (|input| "controls libraries from which to load compiled code" |interpreter| FUNCTION |setInputLibrary| NIL |htSetInputLibrary|))) (|debug| "debug options" |interpreter| TREE |novar| ((|lambdatype| "show type information for #1 syntax" |interpreter| LITERALS $LAMBDATYPE (|on| |off|) |off|) (|dalymode| "Interpret leading open paren as lisp" |interpreter| LITERALS $DALYMODE (|on| |off|) |off|))) (|expose| "control interpreter constructor exposure" |interpreter| FUNCTION |setExpose| NIL |htSetExpose|) (|functions| "some interpreter function options" |interpreter| TREE |novar| ((|cache| "number of function results to cache" |interpreter| FUNCTION |setFunctionsCache| NIL |htSetCache|) (|compile| "compile, don't just define function bodies" |interpreter| LITERALS |$compileDontDefineFunctions| (|on| |off|) |on|) (|recurrence| "specially compile recurrence relations" |interpreter| LITERALS |$compileRecurrence| (|on| |off|) |on|))) (|fortran| "view and set options for FORTRAN output" |interpreter| TREE |novar| ((|ints2floats| "where sensible, coerce integers to reals" |interpreter| LITERALS |$fortInts2Floats| (|on| |off|) |on|) (|fortindent| "the number of characters indented" |interpreter| INTEGER |$fortIndent| (0 NIL) 6) (|fortlength| "the number of characters on a line" |interpreter| INTEGER |$fortLength| (1 NIL) 72) (|typedecs| "print type and dimension lines" |interpreter| LITERALS |$printFortranDecs| (|on| |off|) |on|) (|defaulttype| "default generic type for FORTRAN object" |interpreter| LITERALS |$defaultFortranType| (REAL INTEGER COMPLEX LOGICAL CHARACTER) REAL) (|precision| "precision of generated FORTRAN objects" |interpreter| LITERALS |$fortranPrecision| (|single| |double|) |double|) (|intrinsic| "whether to use INTRINSIC FORTRAN functions" |interpreter| LITERALS |$useIntrinsicFunctions| (|on| |off|) |off|) (|explength| "character limit for FORTRAN expressions" |interpreter| INTEGER |$maximumFortranExpressionLength| (0 NIL) 1320) (|segment| "split long FORTRAN expressions" |interpreter| LITERALS |$fortranSegment| (|on| |off|) |on|) (|optlevel| "FORTRAN optimisation level" |interpreter| INTEGER |$fortranOptimizationLevel| (0 2) 0) (|startindex| "starting index for FORTRAN arrays" |interpreter| INTEGER |$fortranArrayStartingIndex| (0 1) 1) (|calling| "options for external FORTRAN calls" |interpreter| TREE |novar| ((|tempfile| "set location of temporary data files" |interpreter| FUNCTION |setFortTmpDir| (("enter directory name for which you have write-permission" DIRECTORY |$fortranTmpDir| |chkDirectory| "/tmp/")) NIL) (|directory| "set location of generated FORTRAN files" |interpreter| FUNCTION |setFortDir| (("enter directory name for which you have write-permission" DIRECTORY |$fortranDirectory| |chkDirectory| "./")) NIL) (|linker| "linker arguments (e.g. libraries to search)" |interpreter| FUNCTION |setLinkerArgs| (("enter linker arguments " STRING |$fortranLibraries| |chkDirectory| "-lxlf")) NIL))))) (|hyperdoc| "options in using HyperDoc" |interpreter| TREE |novar| ((|fullscreen| "use full screen for this facility" |interpreter| LITERALS |$fullScreenSysVars| (|on| |off|) |off|) (|mathwidth| "screen width for history output" |interpreter| INTEGER |$historyDisplayWidth| (0 NIL) 120))) (|help| "view and set some help options" |interpreter| TREE |novar| ((|fullscreen| "use fullscreen facility, if possible" |interpreter| LITERALS |$useFullScreenHelp| (|on| |off|) |on|))) (|history| "save workspace values in a history file" |interpreter| LITERALS |$HiFiAccess| (|on| |off|) |on|) (|messages| "show messages for various system features" |interpreter| TREE |novar| ((|any| "print the internal type of objects of domain Any" |interpreter| LITERALS |$printAnyIfTrue| (|on| |off|) |on|) (|autoload| "print file auto-load messages" |interpreter| LITERALS |$printLoadMsgs| (|on| |off|) |on|) (|bottomup| "display bottom up modemap selection" |development| LITERALS |$reportBottomUpFlag| (|on| |off|) |off|) (|coercion| "display datatype coercion messages" |development| LITERALS |$reportCoerceIfTrue| (|on| |off|) |off|) (|dropmap| "display old map defn when replaced" |interpreter| LITERALS |$displayDroppedMap| (|on| |off|) |off|) (|expose| "warning for unexposed functions" |interpreter| LITERALS |$giveExposureWarning| (|on| |off|) |off|) (|file| "print msgs also to SPADMSG LISTING" |development| LITERALS |$printMsgsToFile| (|on| |off|) |off|) (|frame| "display messages about frames" |interpreter| LITERALS |$frameMessages| (|on| |off|) |off|) (|highlighting| "use highlighting in system messages" |interpreter| LITERALS |$highlightAllowed| (|on| |off|) |off|) (|instant| "present instantiation summary" |development| LITERALS |$reportInstantiations| (|on| |off|) |off|) (|insteach| "present instantiation info" |development| LITERALS |$reportEachInstantiation| (|on| |off|) |off|) (|interponly| "say when function code is interpreted" |interpreter| LITERALS |$reportInterpOnly| (|on| |off|) |on|) (|naglink| "show NAGLink messages" |interpreter| LITERALS |$nagMessages| (|on| |off|) |on|) (|number| "display message number with message" |interpreter| LITERALS |$displayMsgNumber| (|on| |off|) |off|) (|prompt| "set type of input prompt to display" |interpreter| LITERALS |$inputPromptType| (|none| |frame| |plain| |step| |verbose|) |step|) (|selection| "display function selection msgs" |interpreter| LITERALS |$reportBottomUpFlag| (|on| |off|) |off|) (|set| "show )set setting after assignment" |interpreter| LITERALS |$displaySetValue| (|on| |off|) |off|) (|startup| "display messages on start-up" |interpreter| LITERALS |$displayStartMsgs| (|on| |off|) |on|) (|summary| "print statistics after computation" |interpreter| LITERALS |$printStatisticsSummaryIfTrue| (|on| |off|) |off|) (|testing| "print system testing header" |development| LITERALS |$testingSystem| (|on| |off|) |off|) (|time| "print timings after computation" |interpreter| LITERALS |$printTimeIfTrue| (|on| |off| |long|) |off|) (|type| "print type after computation" |interpreter| LITERALS |$printTypeIfTrue| (|on| |off|) |on|) (|void| "print Void value when it occurs" |interpreter| LITERALS |$printVoidIfTrue| (|on| |off|) |off|))) (|naglink| "options for NAGLink" |interpreter| TREE |novar| ((|host| "internet address of host for NAGLink" |interpreter| FUNCTION |setNagHost| (("enter host name" DIRECTORY |$nagHost| |chkDirectory| "localhost")) NIL) (|persistence| "number of (fortran) functions to remember" |interpreter| FUNCTION |setFortPers| (("Requested remote storage (for asps):" INTEGER |$fortPersistence| (0 NIL) 10)) NIL) (|messages| "show NAGLink messages" |interpreter| LITERALS |$nagMessages| (|on| |off|) |on|) (|double| "enforce DOUBLE PRECISION ASPs" |interpreter| LITERALS |$nagEnforceDouble| (|on| |off|) |on|))) (|output| "view and set some output options" |interpreter| TREE |novar| ((|abbreviate| "abbreviate type names" |interpreter| LITERALS |$abbreviateTypes| (|on| |off|) |off|) (|algebra| "display output in algebraic form" |interpreter| FUNCTION |setOutputAlgebra| (("display output in algebraic form" LITERALS |$algebraFormat| (|off| |on|) |on|) (BREAK $ALGEBRAFORMAT) ("where algebra printing goes (enter {em console} or a pathname)?" FILENAME |$algebraOutputFile| |chkOutputFileName| "console")) NIL) (|characters| "choose special output character set" |interpreter| FUNCTION |setOutputCharacters| NIL |htSetOutputCharacters|) (|fortran| "create output in FORTRAN format" |interpreter| FUNCTION |setOutputFortran| (("create output in FORTRAN format" LITERALS |$fortranFormat| (|off| |on|) |off|) (|break| |$fortranFormat|) ("where FORTRAN output goes (enter {em console} or a a pathname)" FILENAME |$fortranOutputFile| |chkOutputFileName| "console")) NIL) (|fraction| "how fractions are formatted" |interpreter| LITERALS |$fractionDisplayType| (|vertical| |horizontal|) |vertical|) (|html| "create output in HTML style" |interpreter| FUNCTION |setOutputHtml| (("create output in HTML format" LITERALS |$htmlFormat| (|off| |on|) |off|) (|break| |$htmlFormat|) ("where HTML output goes (enter {em console} or a pathname)" FILENAME |$htmlOutputFile| |chkOutputFileName| "console")) NIL) (|length| "line length of output displays" |interpreter| INTEGER $LINELENGTH (10 245) 77) (|mathml| "create output in MathML style" |interpreter| FUNCTION |setOutputMathml| (("create output in MathML format" LITERALS |$mathmlFormat| (|off| |on|) |off|) (|break| |$mathmlFormat|) ("where MathML output goes (enter {em console} or a pathname)" FILENAME |$mathmlOutputFile| |chkOutputFileName| "console")) NIL) (|openmath| "create output in OpenMath style" |interpreter| FUNCTION |setOutputOpenMath| (("create output in OpenMath format" LITERALS |$openMathFormat| (|off| |on|) |off|) (|break| |$openMathFormat|) ("where TeX output goes (enter {em console} or a pathname)" FILENAME |$openMathOutputFile| |chkOutputFileName| "console")) NIL) (|script| "display output in SCRIPT formula format" |interpreter| FUNCTION |setOutputFormula| (("display output in SCRIPT format" LITERALS |$formulaFormat| (|off| |on|) |off|) (|break| |$formulaFormat|) ("where script output goes (enter {em console} or a a pathname)" FILENAME |$formulaOutputFile| |chkOutputFileName| "console")) NIL) (|scripts| "show subscripts,... linearly" |interpreter| LITERALS |$linearFormatScripts| (|on| |off|) |off|) (|showeditor| "view output of )show in editor" |interpreter| LITERALS |$useEditorForShowOutput| (|on| |off|) |off|) (|tex| "create output in TeX style" |interpreter| FUNCTION |setOutputTex| (("create output in TeX format" LITERALS |$texFormat| (|off| |on|) |off|) (|break| |$texFormat|) ("where TeX output goes (enter {em console} or a pathname)" FILENAME |$texOutputFile| |chkOutputFileName| "console")) NIL))) (|quit| "protected or unprotected quit" |interpreter| LITERALS |$quitCommandType| (|protected| |unprotected|) |protected|) (|streams| "set some options for working with streams" |interpreter| TREE |novar| ((|calculate| "specify number of elements to calculate" |interpreter| FUNCTION |setStreamsCalculate| (("number of initial stream elements you want calculated" INTEGER |$streamCount| (0 NIL) 10)) NIL) (|showall| "display all stream elements computed" |interpreter| LITERALS |$streamsShowAll| (|on| |off|) |off|))) (|system| "set some system development variables" |development| TREE |novar| ((|functioncode| "show gen. LISP for functions when compiled" |development| LITERALS |$reportCompilation| (|on| |off|) |off|) (|optimization| "show optimized LISP code" |development| LITERALS |$reportOptimization| (|on| |off|) |off|) (|prettyprint| "prettyprint BOOT func's as they compile" |development| LITERALS $PRETTYPRINT (|on| |off|) |on|))) (|userlevel| "operation access level of system user" |interpreter| LITERALS |$UserLevel| (|interpreter| |compiler| |development|) |development|))
 --E 212
 
 --S 213 of 236 obsolete |$shoeReadLineFunction|
diff -Nru axiom-20110301a/src/interp/apply.lisp.pamphlet axiom-20111101/src/interp/apply.lisp.pamphlet
--- axiom-20110301a/src/interp/apply.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/apply.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,877 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp apply.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(in-package "BOOT" )
-
-;oldCompilerAutoloadOnceTrigger() == nil
-
-(defun |oldCompilerAutoloadOnceTrigger| () nil) 
-
-;compAtomWithModemap(x,m,e,v) ==
-;  Tl :=
-;    [[transImplementation(x,map,fn),target,e]
-;      for map in v | map is [[.,target],[.,fn]]] =>
-;                                         --accept only monadic operators
-;        T:= or/[t for (t:= [.,target,.]) in Tl | modeEqual(m,target)] => T
-;        1=#(Tl:= [y for t in Tl | (y:= convert(t,m))]) => first Tl
-;        0<#Tl and m=$NoValueMode => first Tl
-;        nil
-
-(DEFUN |compAtomWithModemap| (|x| |m| |e| |v|)
-  (PROG (TMP1 TMP2 TMP3 TMP4 TMP5 |fn| |target| T$ |y| TRANSIMP)
-  (declare (special |$NoValueMode|))
-    (RETURN
-      (SEQ (COND
-             ((SETQ TRANSIMP
-                    (PROG (T0)
-                      (SETQ T0 NIL)
-                      (RETURN
-                        (DO ((T1 |v| (CDR T1)) (|map| NIL))
-                            ((OR (ATOM T1)
-                                 (PROGN (SETQ |map| (CAR T1)) NIL))
-                             (NREVERSE0 T0))
-                          (SEQ (EXIT (COND
-                                       ((AND (PAIRP |map|)
-                                         (PROGN
-                                           (SETQ TMP1 (QCAR |map|))
-                                           (AND (PAIRP TMP1)
-                                            (PROGN
-                                              (SETQ TMP2 (QCDR TMP1))
-                                              (AND (PAIRP TMP2)
-                                               (EQ (QCDR TMP2) NIL)
-                                               (PROGN
-                                                 (SETQ |target|
-                                                  (QCAR TMP2))
-                                                 T)))))
-                                         (PROGN
-                                           (SETQ TMP3 (QCDR |map|))
-                                           (AND (PAIRP TMP3)
-                                            (EQ (QCDR TMP3) NIL)
-                                            (PROGN
-                                              (SETQ TMP4 (QCAR TMP3))
-                                              (AND (PAIRP TMP4)
-                                               (PROGN
-                                                 (SETQ TMP5
-                                                  (QCDR TMP4))
-                                                 (AND (PAIRP TMP5)
-                                                  (EQ (QCDR TMP5) NIL)
-                                                  (PROGN
-                                                    (SETQ |fn|
-                                                     (QCAR TMP5))
-                                                    T))))))))
-                                        (SETQ T0
-                                         (CONS
-                                          (CONS
-                                           (|transImplementation| |x|
-                                            |map| |fn|)
-                                           (CONS |target|
-                                            (CONS |e| NIL)))
-                                          T0))))))))))
-              (EXIT (COND
-                      ((SETQ T$
-                             (PROG (T2)
-                               (SETQ T2 NIL)
-                               (RETURN
-                                 (DO ((T3 NIL T2)
-                                      (T4 TRANSIMP (CDR T4)) (|t| NIL))
-                                     ((OR T3 (ATOM T4)
-                                       (PROGN (SETQ |t| (CAR T4)) NIL)
-                                       (PROGN
-                                         (PROGN
-                                           (SETQ |target| (CADR |t|))
-                                           |t|)
-                                         NIL))
-                                      T2)
-                                   (SEQ
-                                    (EXIT
-                                     (COND
-                                       ((|modeEqual| |m| |target|)
-                                        (SETQ T2 (OR T2 |t|))))))))))
-                       T$)
-                      ((EQL 1
-                            (|#| (SETQ TRANSIMP
-                                       (PROG (T5)
-                                         (SETQ T5 NIL)
-                                         (RETURN
-                                           (DO
-                                            ((T6 TRANSIMP (CDR T6))
-                                             (|t| NIL))
-                                            ((OR (ATOM T6)
-                                              (PROGN
-                                                (SETQ |t| (CAR T6))
-                                                NIL))
-                                             (NREVERSE0 T5))
-                                             (SEQ
-                                              (EXIT
-                                               (COND
-                                                 ((SETQ |y|
-                                                   (|convert| |t| |m|))
-                                                  (SETQ T5
-                                                   (CONS |y| T5))))))))))))
-                       (CAR TRANSIMP))
-                      ((AND (QSLESSP 0 (|#| TRANSIMP))
-                            (BOOT-EQUAL |m| |$NoValueMode|))
-                       (CAR TRANSIMP))
-                      (T NIL)))))))))
-
-;transImplementation(op,map,fn) ==
-;--+
-;  fn := genDeltaEntry [op,:map]
-;  fn is ["XLAM",:.] => [fn]
-;  ["call",fn]
-
-(DEFUN |transImplementation| (OP MAP FN)
-  (SETQ FN (|genDeltaEntry| (CONS OP MAP)))
-  (COND
-    ((AND (PAIRP FN) (EQ (QCAR FN) 'XLAM)) (CONS FN NIL))
-    (T (CONS '|call| (CONS FN NIL)))))
-
-;compApply(sig,varl,body,argl,m,e) ==
-;  argTl:= [[.,.,e]:= comp(x,$EmptyMode,e) for x in argl]
-;  contour:=
-;    [Pair(x,[["mode",m'],["value",removeEnv comp(a,m',e)]])
-;      for x in varl for m' in sig.source for a in argl]
-;  code:= [["LAMBDA",varl,body'],:[T.expr for T in argTl]]
-;  m':= resolve(m,sig.target)
-;  body':= (comp(body,m',addContour(contour,e))).expr
-;  [code,m',e]
-
-(DEFUN |compApply| (SIG VARL BODY ARGL M E)
-  (LET (TEMP1 ARGTL CONTOUR CODE MQ BODYQ)
-  (declare (special |$EmptyMode|))
-    (SETQ ARGTL
-          (PROG (T0)
-            (SETQ T0 NIL)
-            (RETURN
-              (DO ((T1 ARGL (CDR T1)) (|x| NIL))
-                  ((OR (ATOM T1) (PROGN (SETQ |x| (CAR T1)) NIL))
-                   (NREVERSE0 T0))
-                (SEQ (EXIT (SETQ T0
-                                 (CONS (PROGN
-                                         (SETQ TEMP1
-                                          (|comp| |x| |$EmptyMode| E))
-                                         (SETQ E (CADDR TEMP1))
-                                         TEMP1)
-                                       T0))))))))
-    (SETQ CONTOUR
-          (PROG (T2)
-            (SETQ T2 NIL)
-            (RETURN
-              (DO ((T3 VARL (CDR T3)) (|x| NIL) (T4 (CDR SIG) (CDR T4))
-                   (MQ NIL) (T5 ARGL (CDR T5)) (|a| NIL))
-                  ((OR (ATOM T3) (PROGN (SETQ |x| (CAR T3)) NIL)
-                       (ATOM T4) (PROGN (SETQ MQ (CAR T4)) NIL)
-                       (ATOM T5) (PROGN (SETQ |a| (CAR T5)) NIL))
-                   (NREVERSE0 T2))
-                (SETQ T2
-                      (CONS (|Pair| |x|
-                                    (CONS (CONS '|mode| (CONS MQ NIL))
-                                     (CONS
-                                      (CONS '|value|
-                                       (CONS
-                                        (|removeEnv| (|comp| |a| MQ E))
-                                        NIL))
-                                      NIL)))
-                            T2))))))
-    (SETQ CODE
-          (CONS (CONS 'LAMBDA (CONS VARL (CONS BODYQ NIL)))
-                (PROG (T6)
-                  (SETQ T6 NIL)
-                  (RETURN
-                    (DO ((T7 ARGTL (CDR T7)) (T$ NIL))
-                        ((OR (ATOM T7) (PROGN (SETQ T$ (CAR T7)) NIL))
-                         (NREVERSE0 T6))
-                      (SETQ T6 (CONS (CAR T$) T6)))))))
-    (SETQ MQ (|resolve| M (CAR SIG)))
-    (SETQ BODYQ (CAR (|comp| BODY MQ (|addContour| CONTOUR E))))
-    (CONS CODE (CONS MQ (CONS E NIL)))))
-
-;compToApply(op,argl,m,e) ==
-;  T:= compNoStacking(op,$EmptyMode,e) or return nil
-;  m1:= T.mode
-;  T.expr is ["QUOTE", =m1] => nil
-;  compApplication(op,argl,m,T.env,T)
-
-(DEFUN |compToApply| (|op| |argl| |m| |e|)
-  (PROG (T$ |m1| TMP1 TMP2)
-  (declare (special |$EmptyMode|))
-    (RETURN
-      (PROGN
-        (SETQ T$
-              (OR (|compNoStacking| |op| |$EmptyMode| |e|)
-                  (RETURN NIL)))
-        (SETQ |m1| (CADR T$))
-        (COND
-          ((PROGN
-             (SETQ TMP1 (CAR T$))
-             (AND (PAIRP TMP1) (EQ (QCAR TMP1) 'QUOTE)
-                  (PROGN
-                    (SETQ TMP2 (QCDR TMP1))
-                    (AND (PAIRP TMP2) (EQ (QCDR TMP2) NIL)
-                         (EQUAL (QCAR TMP2) |m1|)))))
-           NIL)
-          (T (|compApplication| |op| |argl| |m| (CADDR T$) T$)))))))
-
-;compApplication(op,argl,m,e,T) ==
-;  T.mode is ['Mapping, retm, :argml] =>
-;    #argl ^= #argml => nil
-;    retm := resolve(m, retm)
-;    retm = $Category or isCategoryForm(retm,e) => nil  -- not handled
-;    argTl := [[.,.,e] := comp(x,m,e) or return "failed"
-;              for x in argl for m in argml]
-;    argTl = "failed" => nil
-;    form:=
-;      not (MEMBER(op,$formalArgList) or MEMBER(T.expr,$formalArgList)) and ATOM T.expr =>
-;        nprefix := $prefix or
-;        -- following needed for referencing local funs at capsule level
-;           getAbbreviation($op,#rest $form)
-;        [op',:[a.expr for a in argTl],"$"] where
-;          op':= INTERN STRCONC(encodeItem nprefix,";",encodeItem T.expr)
-;      ['call, ['applyFun, T.expr], :[a.expr for a in argTl]]
-;    coerce([form, retm, e],resolve(retm,m))
-;  op = 'elt => nil
-;  eltForm := ['elt, op, :argl]
-;  comp(eltForm, m, e)
-
-(DEFUN |compApplication| (|op| |argl| |m| |e| T$)
-  (PROG (TMP1 TMP2 |argml| |retm| TEMP1 |argTl| |nprefix| |op'| |form|
-              |eltForm|)
-  (declare (special |$form| |$op| |$prefix| |$formalArgList| |$Category|))
-    (RETURN
-      (SEQ (COND
-             ((PROGN
-                (SETQ TMP1 (CADR T$))
-                (AND (PAIRP TMP1) (EQ (QCAR TMP1) '|Mapping|)
-                     (PROGN
-                       (SETQ TMP2 (QCDR TMP1))
-                       (AND (PAIRP TMP2)
-                            (PROGN
-                              (SETQ |retm| (QCAR TMP2))
-                              (SETQ |argml| (QCDR TMP2))
-                              T)))))
-              (COND
-                ((NEQUAL (|#| |argl|) (|#| |argml|)) NIL)
-                (T (SETQ |retm| (|resolve| |m| |retm|))
-                   (COND
-                     ((OR (BOOT-EQUAL |retm| |$Category|)
-                          (|isCategoryForm| |retm| |e|))
-                      NIL)
-                     (T (SETQ |argTl|
-                              (PROG (T0)
-                                (SETQ T0 NIL)
-                                (RETURN
-                                  (DO ((T1 |argl| (CDR T1)) (|x| NIL)
-                                       (T2 |argml| (CDR T2)) (|m| NIL))
-                                      ((OR (ATOM T1)
-                                        (PROGN
-                                          (SETQ |x| (CAR T1))
-                                          NIL)
-                                        (ATOM T2)
-                                        (PROGN
-                                          (SETQ |m| (CAR T2))
-                                          NIL))
-                                       (NREVERSE0 T0))
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ T0
-                                       (CONS
-                                        (PROGN
-                                          (SETQ TEMP1
-                                           (OR (|comp| |x| |m| |e|)
-                                            (RETURN '|failed|)))
-                                          (SETQ |e| (CADDR TEMP1))
-                                          TEMP1)
-                                        T0))))))))
-                        (COND
-                          ((BOOT-EQUAL |argTl| '|failed|) NIL)
-                          (T (SETQ |form|
-                                   (COND
-                                     ((AND
-                                       (NULL
-                                        (OR
-                                         (|member| |op|
-                                          |$formalArgList|)
-                                         (|member| (CAR T$)
-                                          |$formalArgList|)))
-                                       (ATOM (CAR T$)))
-                                      (SETQ |nprefix|
-                                       (OR |$prefix|
-                                        (|getAbbreviation| |$op|
-                                         (|#| (CDR |$form|)))))
-                                      (SETQ |op'|
-                                       (INTERN
-                                        (STRCONC
-                                         (|encodeItem| |nprefix|) '|;|
-                                         (|encodeItem| (CAR T$)))))
-                                      (CONS |op'|
-                                       (APPEND
-                                        (PROG (T3)
-                                          (SETQ T3 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((T4 |argTl| (CDR T4))
-                                              (|a| NIL))
-                                             ((OR (ATOM T4)
-                                               (PROGN
-                                                 (SETQ |a| (CAR T4))
-                                                 NIL))
-                                              (NREVERSE0 T3))
-                                              (SEQ
-                                               (EXIT
-                                                (SETQ T3
-                                                 (CONS (CAR |a|) T3)))))))
-                                        (CONS '$ NIL))))
-                                     (T
-                                      (CONS '|call|
-                                       (CONS
-                                        (CONS '|applyFun|
-                                         (CONS (CAR T$) NIL))
-                                        (PROG (T5)
-                                          (SETQ T5 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((T6 |argTl| (CDR T6))
-                                              (|a| NIL))
-                                             ((OR (ATOM T6)
-                                               (PROGN
-                                                 (SETQ |a| (CAR T6))
-                                                 NIL))
-                                              (NREVERSE0 T5))
-                                              (SEQ
-                                               (EXIT
-                                                (SETQ T5
-                                                 (CONS (CAR |a|) T5))))))))))))
-                             (|coerce|
-                                 (CONS |form|
-                                       (CONS |retm| (CONS |e| NIL)))
-                                 (|resolve| |retm| |m|)))))))))
-             ((BOOT-EQUAL |op| '|elt|) NIL)
-             (T (SETQ |eltForm| (CONS '|elt| (CONS |op| |argl|)))
-                (|comp| |eltForm| |m| |e|)))))))
-
-;compFormWithModemap(form is [op,:argl],m,e,modemap) ==
-;  [map:= [.,target,:.],[pred,impl]]:= modemap
-;  -- this fails if the subsuming modemap is conditional
-;  --impl is ['Subsumed,:.] => nil
-;  if isCategoryForm(target,e) and isFunctor op then
-;    [modemap,e]:= substituteIntoFunctorModemap(argl,modemap,e) or return nil
-;    [map:= [.,target,:.],:cexpr]:= modemap
-;  sv:=listOfSharpVars map
-;  if sv then
-;     -- SAY [ "compiling ", op, " in compFormWithModemap,
-;     -- mode= ",map," sharp vars=",sv]
-;    for x in argl for ss in $FormalMapVariableList repeat
-;      if ss in sv then
-;        [map:= [.,target,:.],:cexpr]:= modemap :=SUBST(x,ss,modemap)
-;        -- SAY ["new map is",map]
-;  not (target':= coerceable(target,m,e)) => nil
-;  map:= [target',:rest map]
-;  [f,Tl,sl]:= compApplyModemap(form,modemap,e,nil) or return nil
-;  --generate code; return
-;  T:=
-;    [x',m',e'] where
-;      m':= SUBLIS(sl,map.(1))
-;      x':=
-;        form':= [f,:[t.expr for t in Tl]]
-;        m'=$Category or isCategoryForm(m',e) => form'
-;        -- try to deal with new-style Unions where we know the conditions
-;        op = "elt" and f is ['XLAM,:.] and IDENTP(z:=CAR argl) and
-;          (c:=get(z,'condition,e)) and
-;            c is [['case,=z,c1]] and
-;              (c1 is ['_:,=(CADR argl),=m] or EQ(c1,CADR argl) ) =>
-;-- first is a full tag, as placed by getInverseEnvironment
-;-- second is what getSuccessEnvironment will place there
-;                ["CDR",z]
-;        ["call",:form']
-;      e':=
-;        Tl => (LAST Tl).env
-;        e
-;  convert(T,m)
-
-(DEFUN |compFormWithModemap| (|form| |m| |e| |modemap|)
-  (PROG (|op| |argl| |pred| |impl| |sv| |target| |cexpr| |target'|
-              |map| TEMP1 |f| TRANSIMP |sl| |m'| |form'| |z| |c| TMP3
-              |c1| TMP1 TMP2 |x'| |e'| T$)
-  (declare (special |$Category| |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SETQ |op| (CAR |form|))
-             (SETQ |argl| (CDR |form|))
-             (SETQ |map| (CAR |modemap|))
-             (SETQ |target| (CADAR |modemap|))
-             (SETQ |pred| (CAADR |modemap|))
-             (SETQ |impl| (CADADR |modemap|))
-             (COND
-               ((AND (|isCategoryForm| |target| |e|)
-                     (|isFunctor| |op|))
-                (SETQ TEMP1
-                      (OR (|substituteIntoFunctorModemap| |argl|
-                              |modemap| |e|)
-                          (RETURN NIL)))
-                (SETQ |modemap| (CAR TEMP1)) (SETQ |e| (CADR TEMP1))
-                (SETQ |map| (CAR |modemap|))
-                (SETQ |target| (CADAR |modemap|))
-                (SETQ |cexpr| (CDR |modemap|)) |modemap|))
-             (SETQ |sv| (|listOfSharpVars| |map|))
-             (COND
-               (|sv| (DO ((T0 |argl| (CDR T0)) (|x| NIL)
-                          (T1 |$FormalMapVariableList| (CDR T1))
-                          (|ss| NIL))
-                         ((OR (ATOM T0) (PROGN (SETQ |x| (CAR T0)) NIL)
-                              (ATOM T1)
-                              (PROGN (SETQ |ss| (CAR T1)) NIL))
-                          NIL)
-                       (SEQ (EXIT (COND
-                                    ((|member| |ss| |sv|)
-                                     (SETQ |modemap|
-                                      (MSUBST |x| |ss| |modemap|))
-                                     (SETQ |map| (CAR |modemap|))
-                                     (SETQ |target| (CADAR |modemap|))
-                                     (SETQ |cexpr| (CDR |modemap|))
-                                     |modemap|)
-                                    (T NIL)))))))
-             (COND
-               ((NULL (SETQ |target'| (|coerceable| |target| |m| |e|)))
-                NIL)
-               (T (SETQ |map| (CONS |target'| (CDR |map|)))
-                  (SETQ TEMP1
-                        (OR (|compApplyModemap| |form| |modemap| |e|
-                                NIL)
-                            (RETURN NIL)))
-                  (SETQ |f| (CAR TEMP1)) (SETQ TRANSIMP (CADR TEMP1))
-                  (SETQ |sl| (CADDR TEMP1))
-                  (SETQ |m'| (SUBLIS |sl| (ELT |map| 1)))
-                  (SETQ |x'|
-                        (PROGN
-                          (SETQ |form'|
-                                (CONS |f|
-                                      (PROG (T2)
-                                        (SETQ T2 NIL)
-                                        (RETURN
-                                          (DO
-                                           ((T3 TRANSIMP (CDR T3))
-                                            (|t| NIL))
-                                           ((OR (ATOM T3)
-                                             (PROGN
-                                               (SETQ |t| (CAR T3))
-                                               NIL))
-                                            (NREVERSE0 T2))
-                                            (SEQ
-                                             (EXIT
-                                              (SETQ T2
-                                               (CONS (CAR |t|) T2)))))))))
-                          (COND
-                            ((OR (BOOT-EQUAL |m'| |$Category|)
-                                 (|isCategoryForm| |m'| |e|))
-                             |form'|)
-                            ((AND (BOOT-EQUAL |op| '|elt|) (PAIRP |f|)
-                                  (EQ (QCAR |f|) 'XLAM)
-                                  (IDENTP (SETQ |z| (CAR |argl|)))
-                                  (SETQ |c|
-                                        (|get| |z| '|condition| |e|))
-                                  (PAIRP |c|) (EQ (QCDR |c|) NIL)
-                                  (PROGN
-                                    (SETQ TMP1 (QCAR |c|))
-                                    (AND (PAIRP TMP1)
-                                     (EQ (QCAR TMP1) '|case|)
-                                     (PROGN
-                                       (SETQ TMP2 (QCDR TMP1))
-                                       (AND (PAIRP TMP2)
-                                        (EQUAL (QCAR TMP2) |z|)
-                                        (PROGN
-                                          (SETQ TMP3 (QCDR TMP2))
-                                          (AND (PAIRP TMP3)
-                                           (EQ (QCDR TMP3) NIL)
-                                           (PROGN
-                                             (SETQ |c1| (QCAR TMP3))
-                                             T)))))))
-                                  (OR (AND (PAIRP |c1|)
-                                       (EQ (QCAR |c1|) '|:|)
-                                       (PROGN
-                                         (SETQ TMP1 (QCDR |c1|))
-                                         (AND (PAIRP TMP1)
-                                          (EQUAL (QCAR TMP1)
-                                           (CADR |argl|))
-                                          (PROGN
-                                            (SETQ TMP2 (QCDR TMP1))
-                                            (AND (PAIRP TMP2)
-                                             (EQ (QCDR TMP2) NIL)
-                                             (EQUAL (QCAR TMP2) |m|))))))
-                                      (EQ |c1| (CADR |argl|))))
-                             (CONS 'CDR (CONS |z| NIL)))
-                            (T (CONS '|call| |form'|)))))
-                  (SETQ |e'|
-                        (COND
-                          (TRANSIMP (CADDR (|last| TRANSIMP)))
-                          (T |e|)))
-                  (SETQ T$ (CONS |x'| (CONS |m'| (CONS |e'| NIL))))
-                  (|convert| T$ |m|))))))))
-
-;applyMapping([op,:argl],m,e,ml) ==
-;  #argl^=#ml-1 => nil
-;  isCategoryForm(first ml,e) =>
-;                                --is op a functor?
-;    pairlis:= [[v,:a] for a in argl for v in $FormalMapVariableList]
-;    ml' := SUBLIS(pairlis, ml)
-;    argl':=
-;      [T.expr for x in argl for m' in rest ml'] where
-;        T() == [.,.,e]:= comp(x,m',e) or return "failed"
-;    if argl'="failed" then return nil
-;    form:= [op,:argl']
-;    convert([form,first ml',e],m)
-;  argl':=
-;    [T.expr for x in argl for m' in rest ml] where
-;      T() == [.,.,e]:= comp(x,m',e) or return "failed"
-;  if argl'="failed" then return nil
-;  form:=
-;    not MEMBER(op,$formalArgList) and ATOM op and not get(op,'value,e) =>
-;      nprefix := $prefix or
-;   -- following needed for referencing local funs at capsule level
-;        getAbbreviation($op,#rest $form)
-;      [op',:argl',"$"] where
-;        op':= INTERN STRCONC(encodeItem nprefix,";",encodeItem op)
-;    ['call,['applyFun,op],:argl']
-;  pairlis:= [[v,:a] for a in argl' for v in $FormalMapVariableList]
-;  convert([form,SUBLIS(pairlis,first ml),e],m)
-
-(DEFUN |applyMapping| (T0 |m| |e| |ml|)
-  (PROG (|op| |argl| |ml'| TEMP1 |argl'| |nprefix| |op'| |form| |pairlis|)
-  (declare (special |$FormalMapVariableList| |$form| |$op| |$prefix|
-                    |$formalArgList|))
-    (RETURN
-      (SEQ (PROGN
-             (SETQ |op| (CAR T0))
-             (SETQ |argl| (CDR T0))
-             (COND
-               ((NEQUAL (|#| |argl|) (SPADDIFFERENCE (|#| |ml|) 1))
-                NIL)
-               ((|isCategoryForm| (CAR |ml|) |e|)
-                (SETQ |pairlis|
-                      (PROG (T1)
-                        (SETQ T1 NIL)
-                        (RETURN
-                          (DO ((T2 |argl| (CDR T2)) (|a| NIL)
-                               (T3 |$FormalMapVariableList| (CDR T3))
-                               (|v| NIL))
-                              ((OR (ATOM T2)
-                                   (PROGN (SETQ |a| (CAR T2)) NIL)
-                                   (ATOM T3)
-                                   (PROGN (SETQ |v| (CAR T3)) NIL))
-                               (NREVERSE0 T1))
-                            (SEQ (EXIT (SETQ T1
-                                        (CONS (CONS |v| |a|) T1))))))))
-                (SETQ |ml'| (SUBLIS |pairlis| |ml|))
-                (SETQ |argl'|
-                      (PROG (T4)
-                        (SETQ T4 NIL)
-                        (RETURN
-                          (DO ((T5 |argl| (CDR T5)) (|x| NIL)
-                               (T6 (CDR |ml'|) (CDR T6)) (|m'| NIL))
-                              ((OR (ATOM T5)
-                                   (PROGN (SETQ |x| (CAR T5)) NIL)
-                                   (ATOM T6)
-                                   (PROGN (SETQ |m'| (CAR T6)) NIL))
-                               (NREVERSE0 T4))
-                            (SEQ (EXIT (SETQ T4
-                                        (CONS
-                                         (CAR
-                                          (PROGN
-                                            (SETQ TEMP1
-                                             (OR (|comp| |x| |m'| |e|)
-                                              (RETURN '|failed|)))
-                                            (SETQ |e| (CADDR TEMP1))
-                                            TEMP1))
-                                         T4))))))))
-                (COND ((BOOT-EQUAL |argl'| '|failed|) (RETURN NIL)))
-                (SETQ |form| (CONS |op| |argl'|))
-                (|convert|
-                    (CONS |form| (CONS (CAR |ml'|) (CONS |e| NIL)))
-                    |m|))
-               (T (SETQ |argl'|
-                        (PROG (T7)
-                          (SETQ T7 NIL)
-                          (RETURN
-                            (DO ((T8 |argl| (CDR T8)) (|x| NIL)
-                                 (T9 (CDR |ml|) (CDR T9)) (|m'| NIL))
-                                ((OR (ATOM T8)
-                                     (PROGN (SETQ |x| (CAR T8)) NIL)
-                                     (ATOM T9)
-                                     (PROGN (SETQ |m'| (CAR T9)) NIL))
-                                 (NREVERSE0 T7))
-                              (SEQ (EXIT
-                                    (SETQ T7
-                                     (CONS
-                                      (CAR
-                                       (PROGN
-                                         (SETQ TEMP1
-                                          (OR (|comp| |x| |m'| |e|)
-                                           (RETURN '|failed|)))
-                                         (SETQ |e| (CADDR TEMP1))
-                                         TEMP1))
-                                      T7))))))))
-                  (COND ((BOOT-EQUAL |argl'| '|failed|) (RETURN NIL)))
-                  (SETQ |form|
-                        (COND
-                          ((AND (NULL (|member| |op| |$formalArgList|))
-                                (ATOM |op|)
-                                (NULL (|get| |op| '|value| |e|)))
-                           (SETQ |nprefix|
-                                 (OR |$prefix|
-                                     (|getAbbreviation| |$op|
-                                      (|#| (CDR |$form|)))))
-                           (SETQ |op'|
-                                 (INTERN (STRCONC
-                                          (|encodeItem| |nprefix|) '|;|
-                                          (|encodeItem| |op|))))
-                           (CONS |op'| (APPEND |argl'| (CONS '$ NIL))))
-                          (T (CONS '|call|
-                                   (CONS
-                                    (CONS '|applyFun| (CONS |op| NIL))
-                                    |argl'|)))))
-                  (SETQ |pairlis|
-                        (PROG (T10)
-                          (SETQ T10 NIL)
-                          (RETURN
-                            (DO ((T11 |argl'| (CDR T11)) (|a| NIL)
-                                 (T12 |$FormalMapVariableList|
-                                      (CDR T12))
-                                 (|v| NIL))
-                                ((OR (ATOM T11)
-                                     (PROGN (SETQ |a| (CAR T11)) NIL)
-                                     (ATOM T12)
-                                     (PROGN (SETQ |v| (CAR T12)) NIL))
-                                 (NREVERSE0 T10))
-                              (SEQ (EXIT
-                                    (SETQ T10
-                                     (CONS (CONS |v| |a|) T10))))))))
-                  (|convert|
-                      (CONS |form|
-                            (CONS (SUBLIS |pairlis| (CAR |ml|))
-                                  (CONS |e| NIL)))
-                      |m|))))))))
-
-;--% APPLY MODEMAPS
-;compApplyModemap(form,modemap,$e,sl) ==
-;  [op,:argl] := form                   --form to be compiled
-;  [[mc,mr,:margl],:fnsel] := modemap   --modemap we are testing
-;  -- $e     is the current environment
-;  -- sl     substitution list, nil means bottom-up, otherwise top-down
-;  -- 0.  fail immediately if #argl=#margl
-;  if #argl^=#margl then return nil
-;  -- 1.  use modemap to evaluate arguments, returning failed if
-;  --     not possible
-;  lt:=
-;    [[.,m',$e]:=
-;      comp(y,g,$e) or return "failed" where
-;        g:= SUBLIS(sl,m) where
-;            sl:= pmatchWithSl(m',m,sl) for y in argl for m in margl]
-;  lt="failed" => return nil
-;  -- 2.  coerce each argument to final domain, returning failed
-;  --     if not possible
-;  lt':= [coerce(y,d) or return "failed"
-;         for y in lt for d in SUBLIS(sl,margl)]
-;  lt'="failed" => return nil
-;  -- 3.  obtain domain-specific function, if possible, and return
-;  --$bindings is bound by compMapCond
-;  [f,$bindings]:= compMapCond(op,mc,sl,fnsel) or return nil
-;--+ can no longer trust what the modemap says for a reference into
-;--+ an exterior domain (it is calculating the displacement based on view
-;--+ information which is no longer valid; thus ignore this index and
-;--+ store the signature instead.
-;--$NRTflag=true and f is [op1,d,.] and NE(d,'$) and MEMBER(op1,'(ELT CONST)) =>
-;  f is [op1,d,.] and MEMBER(op1,'(ELT CONST Subsumed)) =>
-;    [genDeltaEntry [op,:modemap],lt',$bindings]
-;  [f,lt',$bindings]
-
-(DEFUN |compApplyModemap| (|form| |modemap| |$e| |sl|)
-  (DECLARE (SPECIAL |$e|))
-  (PROG (|op| |argl| |mc| |mr| |margl| |fnsel| |g| |m'| |lt| |lt'|
-              TEMP1 |f| |op1| TMP1 |d| TMP2)
-  (declare (special |$bindings| |$e|))
-    (RETURN
-      (SEQ (PROGN
-             (SETQ |op| (CAR |form|))
-             (SETQ |argl| (CDR |form|))
-             (SETQ |mc| (CAAR |modemap|))
-             (SETQ |mr| (CADAR |modemap|))
-             (SETQ |margl| (CDDAR |modemap|))
-             (SETQ |fnsel| (CDR |modemap|))
-             (COND ((NEQUAL (|#| |argl|) (|#| |margl|)) (RETURN NIL)))
-             (SETQ |lt|
-                   (PROG (T0)
-                     (SETQ T0 NIL)
-                     (RETURN
-                       (DO ((T1 |argl| (CDR T1)) (|y| NIL)
-                            (T2 |margl| (CDR T2)) (|m| NIL))
-                           ((OR (ATOM T1)
-                                (PROGN (SETQ |y| (CAR T1)) NIL)
-                                (ATOM T2)
-                                (PROGN (SETQ |m| (CAR T2)) NIL))
-                            (NREVERSE0 T0))
-                         (SEQ (EXIT (SETQ T0
-                                     (CONS
-                                      (PROGN
-                                        (SETQ |sl|
-                                         (|pmatchWithSl| |m'| |m| |sl|))
-                                        (SETQ |g| (SUBLIS |sl| |m|))
-                                        (SETQ TEMP1
-                                         (OR (|comp| |y| |g| |$e|)
-                                          (RETURN '|failed|)))
-                                        (SETQ |m'| (CADR TEMP1))
-                                        (SETQ |$e| (CADDR TEMP1))
-                                        TEMP1)
-                                      T0))))))))
-             (COND
-               ((BOOT-EQUAL |lt| '|failed|) (RETURN NIL))
-               (T (SETQ |lt'|
-                        (PROG (T3)
-                          (SETQ T3 NIL)
-                          (RETURN
-                            (DO ((T4 |lt| (CDR T4)) (|y| NIL)
-                                 (T5 (SUBLIS |sl| |margl|) (CDR T5))
-                                 (|d| NIL))
-                                ((OR (ATOM T4)
-                                     (PROGN (SETQ |y| (CAR T4)) NIL)
-                                     (ATOM T5)
-                                     (PROGN (SETQ |d| (CAR T5)) NIL))
-                                 (NREVERSE0 T3))
-                              (SEQ (EXIT
-                                    (SETQ T3
-                                     (CONS
-                                      (OR (|coerce| |y| |d|)
-                                       (RETURN '|failed|))
-                                      T3))))))))
-                  (COND
-                    ((BOOT-EQUAL |lt'| '|failed|) (RETURN NIL))
-                    (T (SETQ TEMP1
-                             (OR (|compMapCond| |op| |mc| |sl| |fnsel|)
-                                 (RETURN NIL)))
-                       (SETQ |f| (CAR TEMP1))
-                       (SETQ |$bindings| (CADR TEMP1))
-                       (COND
-                         ((AND (PAIRP |f|)
-                               (PROGN
-                                 (SETQ |op1| (QCAR |f|))
-                                 (SETQ TMP1 (QCDR |f|))
-                                 (AND (PAIRP TMP1)
-                                      (PROGN
-                                        (SETQ |d| (QCAR TMP1))
-                                        (SETQ TMP2 (QCDR TMP1))
-                                        (AND (PAIRP TMP2)
-                                         (EQ (QCDR TMP2) NIL)))))
-                               (|member| |op1| '(ELT CONST |Subsumed|)))
-                          (CONS (|genDeltaEntry| (CONS |op| |modemap|))
-                                (CONS |lt'| (CONS |$bindings| NIL))))
-                         (T (CONS |f|
-                                (CONS |lt'| (CONS |$bindings| NIL))))))))))))))
-
-;compMapCond(op,mc,$bindings,fnsel) ==
-;  or/[compMapCond'(u,op,mc,$bindings) for u in fnsel]
-
-(defun |compMapCond| (op mc |$bindings| fnsel)
- (declare (special |$bindings|))
- (let (t0)
-  (do ((t1 nil t0) (t2 fnsel (cdr t2)) (|u| nil))
-      ((or t1 (atom t2) (progn (setq |u| (car t2)) nil)) t0)
-   (setq t0 (or t0 (|compMapCond'| |u| op mc |$bindings|))))))
-
-;compMapCond'([cexpr,fnexpr],op,dc,bindings) ==
-;  compMapCond''(cexpr,dc) => compMapCondFun(fnexpr,op,dc,bindings)
-;  stackMessage ["not known that",'%b,dc,'%d,"has",'%b,cexpr,'%d]
-
-(defun |compMapCond'| (t0 op dc bindings)
- (let ((cexpr (car t0)) (fnexpr (cadr t0)))
-  (if (|compMapCond''| cexpr dc)
-    (|compMapCondFun| fnexpr op dc bindings)
-    (|stackMessage| `("not known that" %b ,dc %d "has" %b ,cexpr %d)))))
-
-;compMapCond''(cexpr,dc) ==
-;  cexpr=true => true
-;  --cexpr = "true" => true
-;  cexpr is ["AND",:l] => and/[compMapCond''(u,dc) for u in l]
-;  cexpr is ["OR",:l] => or/[compMapCond''(u,dc) for u in l]
-;  cexpr is ["not",u] => not compMapCond''(u,dc)
-;  cexpr is ["has",name,cat] => (knownInfo cexpr => true; false)
-;        --for the time being we'll stop here - shouldn't happen so far
-;        --$disregardConditionIfTrue => true
-;        --stackSemanticError(("not known that",'%b,name,
-;        -- '%d,"has",'%b,cat,'%d),nil)
-;  --now it must be an attribute
-;  MEMBER(["ATTRIBUTE",dc,cexpr],get("$Information","special",$e)) => true
-;  --for the time being we'll stop here - shouldn't happen so far
-;  stackMessage ["not known that",'%b,dc,'%d,"has",'%b,cexpr,'%d]
-;  false
-
-(defun |compMapCond''| (cexpr dc)
- (let (l u tmp1 tmp2)
- (declare (special |$Information| |$e|))
-  (cond
-   ((boot-equal cexpr t) t)
-   ((and (pairp cexpr) 
-         (eq (qcar cexpr) 'and)
-         (progn (setq l (qcdr cexpr)) t))
-     (prog (t0)
-      (setq t0 t)
-      (return
-       (do ((t1 nil (null t0)) (t2 l (cdr t2)) (u nil))
-           ((or t1 (atom t2) (progn (setq u (car t2)) nil)) t0)
-        (setq t0 (and t0 (|compMapCond''| u dc)))))))
-   ((and (pairp cexpr) 
-         (eq (qcar cexpr) 'or)
-         (progn (setq l (qcdr cexpr)) t))
-    (prog (t3)
-     (setq t3 nil)
-     (return
-      (do ((t4 nil t3) (t5 l (cdr t5)) (u nil))
-          ((or t4 (atom t5) (progn (setq u (car t5)) nil)) t3)
-         (setq t3 (or t3 (|compMapCond''| u dc)))))))
-   ((and (pairp cexpr)
-         (eq (qcar cexpr) '|not|)
-         (progn 
-          (setq tmp1 (qcdr cexpr))
-          (and (pairp tmp1)
-               (eq (qcdr tmp1) nil)
-               (progn (setq u (qcar tmp1)) t))))
-     (null (|compMapCond''| u dc)))
-   ((and (pairp cexpr)
-         (eq (qcar cexpr) '|has|)
-         (progn
-          (setq tmp1 (qcdr cexpr))
-          (and (pairp tmp1)
-               (progn
-                (setq tmp2 (qcdr tmp1))
-                (and (pairp tmp2)
-                     (eq (qcdr tmp2) nil))))))
-     (cond
-      ((|knownInfo| cexpr) t)
-      (t nil)))
-   ((|member| 
-      (cons 'attribute (cons dc (cons cexpr nil)))
-      (|get| '|$Information| 'special |$e|))
-     t)
-   (t 
-    (|stackMessage| `("not known that" %b ,dc %d "has" %b ,cexpr %d))
-    nil))))
-
-;compMapCondFun(fnexpr,op,dc,bindings) == [fnexpr,bindings]
-
-(defun |compMapCondFun| (fnexpr op dc bindings)
- (declare (ignore op) (ignore dc))
- (cons fnexpr (cons bindings nil))) 
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/as.lisp.pamphlet axiom-20111101/src/interp/as.lisp.pamphlet
--- axiom-20110301a/src/interp/as.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/as.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,4809 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp as.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-(IN-PACKAGE "BOOT" )
-
-;--global hash tables for new compiler
-;$docHash  := MAKE_-HASH_-TABLE()
-
-(SPADLET |$docHash| (MAKE-HASH-TABLE)) 
-
-;$conHash  := MAKE_-HASH_-TABLE()
-
-(SPADLET |$conHash| (MAKE-HASH-TABLE)) 
-
-;$opHash   := MAKE_-HASH_-TABLE()
-
-(SPADLET |$opHash| (MAKE-HASH-TABLE)) 
-
-;$asyPrint := false
-
-(SPADLET |$asyPrint| NIL) 
-
-;asList() ==
-;  OBEY '"rm -f temp.text"
-;  OBEY '"ls as/*.asy > temp.text"
-;  instream := OPEN '"temp.text"
-;  lines := [READLINE instream while not EOFP instream]
-;  CLOSE instream
-;  lines
-
-(DEFUN |asList| ()
-  (PROG (|instream| |lines|)
-    (RETURN
-      (SEQ (PROGN
-             (OBEY "rm -f temp.text")
-             (OBEY "ls as/*.asy > temp.text")
-             (SPADLET |instream| (OPEN "temp.text"))
-             (SPADLET |lines|
-                      (PROG (G166062)
-                        (SPADLET G166062 NIL)
-                        (RETURN
-                          (DO ()
-                              ((NULL (NULL (EOFP |instream|)))
-                               (NREVERSE0 G166062))
-                            (SEQ (EXIT (SETQ G166062
-                                        (CONS (READLINE |instream|)
-                                         G166062))))))))
-             (CLOSE |instream|)
-             |lines|)))))
-
-;asAll lines ==
-;  for x in lines repeat
-;    sayBrightly ['"-----> ",x]
-;    asTran x
-;  'done
-
-(DEFUN |asAll| (|lines|)
-  (SEQ (PROGN
-         (DO ((G166083 |lines| (CDR G166083)) (|x| NIL))
-             ((OR (ATOM G166083)
-                  (PROGN (SETQ |x| (CAR G166083)) NIL))
-              NIL)
-           (SEQ (EXIT (PROGN
-                        (|sayBrightly|
-                            (CONS "-----> "
-                                  (CONS |x| NIL)))
-                        (|asTran| |x|)))))
-         '|done|)))
-
-;as name ==
-;  astran STRCONC(STRINGIMAGE name,'".asy")
-;--  astran STRCONC(getEnv('"AXIOM"),
-;--     '"/../../obj/rios/as/",STRINGIMAGE name,'".asy")
-;  'done
-
-(DEFUN |as| (|name|)
-  (PROGN
-    (|astran| (STRCONC (STRINGIMAGE |name|) ".asy"))
-    '|done|))
-
-;astran asyFile ==
-;--global hash tables for new compiler
-;  $docHash  := MAKE_-HASH_-TABLE()
-;  $conHash := MAKE_-HASH_-TABLE()
-;  $constantHash := MAKE_-HASH_-TABLE()
-;  $niladics : local := nil
-;  $asyFile: local := asyFile
-;  $asFilename: local := STRCONC(PATHNAME_-NAME asyFile,'".as")
-;  asytran asyFile
-;  conlist := [x for x in HKEYS $conHash | HGET($conHash,x) isnt [.,.,"function",:.]]
-;  $mmAlist : local :=
-;    [[con,:asyConstructorModemap con] for con in conlist]
-;  $docAlist : local :=
-;    [[con,:REMDUP asyDocumentation con] for con in conlist]
-;  $parentsHash : local := MAKE_-HASH_-TABLE()
-;--$childrenHash: local := MAKE_-HASH_-TABLE()
-;  for con in conlist repeat
-;    parents := asyParents con
-;    HPUT($parentsHash,con,asyParents con)
-;--  for [parent,:pred] in parents repeat
-;--    parentOp := opOf parent
-;--    HPUT($childrenHash,parentOp,insert([con,:pred],HGET($childrenHash,parentOp)))
-;  $newConlist := UNION(conlist, $newConlist)
-;  [[x,:asMakeAlist x] for x in HKEYS $conHash]
-
-(DEFUN |astran| (|asyFile|)
-  (PROG (|$niladics| |$asyFile| |$asFilename| |$mmAlist| |$docAlist|
-            |$parentsHash| |ISTMP#1| |ISTMP#2| |ISTMP#3| |conlist|
-            |parents|)
-    (DECLARE (SPECIAL |$niladics| |$asyFile| |$asFilename| |$mmAlist|
-                      |$docAlist| |$parentsHash| |$conHash| |$newConlist|
-                      |$constantHash| |$docHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$docHash| (MAKE-HASH-TABLE))
-             (SPADLET |$conHash| (MAKE-HASH-TABLE))
-             (SPADLET |$constantHash| (MAKE-HASH-TABLE))
-             (SPADLET |$niladics| NIL)
-             (SPADLET |$asyFile| |asyFile|)
-             (SPADLET |$asFilename|
-                      (STRCONC (PATHNAME-NAME |asyFile|)
-                               ".as"))
-             (|asytran| |asyFile|)
-             (SPADLET |conlist|
-                      (PROG (G166115)
-                        (SPADLET G166115 NIL)
-                        (RETURN
-                          (DO ((G166121 (HKEYS |$conHash|)
-                                   (CDR G166121))
-                               (|x| NIL))
-                              ((OR (ATOM G166121)
-                                   (PROGN
-                                     (SETQ |x| (CAR G166121))
-                                     NIL))
-                               (NREVERSE0 G166115))
-                            (SEQ (EXIT (COND
-                                         ((NULL
-                                           (PROGN
-                                             (SPADLET |ISTMP#1|
-                                              (HGET |$conHash| |x|))
-                                             (AND (PAIRP |ISTMP#1|)
-                                              (PROGN
-                                                (SPADLET |ISTMP#2|
-                                                 (QCDR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
-                                                 (PROGN
-                                                   (SPADLET |ISTMP#3|
-                                                    (QCDR |ISTMP#2|))
-                                                   (AND
-                                                    (PAIRP |ISTMP#3|)
-                                                    (EQ
-                                                     (QCAR |ISTMP#3|)
-                                                     '|function|))))))))
-                                          (SETQ G166115
-                                           (CONS |x| G166115))))))))))
-             (SPADLET |$mmAlist|
-                      (PROG (G166131)
-                        (SPADLET G166131 NIL)
-                        (RETURN
-                          (DO ((G166136 |conlist| (CDR G166136))
-                               (|con| NIL))
-                              ((OR (ATOM G166136)
-                                   (PROGN
-                                     (SETQ |con| (CAR G166136))
-                                     NIL))
-                               (NREVERSE0 G166131))
-                            (SEQ (EXIT (SETQ G166131
-                                        (CONS
-                                         (CONS |con|
-                                          (|asyConstructorModemap|
-                                           |con|))
-                                         G166131))))))))
-             (SPADLET |$docAlist|
-                      (PROG (G166146)
-                        (SPADLET G166146 NIL)
-                        (RETURN
-                          (DO ((G166151 |conlist| (CDR G166151))
-                               (|con| NIL))
-                              ((OR (ATOM G166151)
-                                   (PROGN
-                                     (SETQ |con| (CAR G166151))
-                                     NIL))
-                               (NREVERSE0 G166146))
-                            (SEQ (EXIT (SETQ G166146
-                                        (CONS
-                                         (CONS |con|
-                                          (REMDUP
-                                           (|asyDocumentation| |con|)))
-                                         G166146))))))))
-             (SPADLET |$parentsHash| (MAKE-HASH-TABLE))
-             (DO ((G166162 |conlist| (CDR G166162)) (|con| NIL))
-                 ((OR (ATOM G166162)
-                      (PROGN (SETQ |con| (CAR G166162)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |parents| (|asyParents| |con|))
-                            (HPUT |$parentsHash| |con|
-                                  (|asyParents| |con|))))))
-             (SPADLET |$newConlist| (|union| |conlist| |$newConlist|))
-             (PROG (G166172)
-               (SPADLET G166172 NIL)
-               (RETURN
-                 (DO ((G166177 (HKEYS |$conHash|) (CDR G166177))
-                      (|x| NIL))
-                     ((OR (ATOM G166177)
-                          (PROGN (SETQ |x| (CAR G166177)) NIL))
-                      (NREVERSE0 G166172))
-                   (SEQ (EXIT (SETQ G166172
-                                    (CONS
-                                     (CONS |x| (|asMakeAlist| |x|))
-                                     G166172))))))))))))
-
-;asyParents(conform) ==
-;  acc := nil
-;  con:= opOf conform
-;--formals := TAKE(#formalParams,$TriangleVariableList)
-;  modemap := LASSOC(con,$mmAlist)
-;  $constructorCategory :local := asySubstMapping CADAR modemap
-;  for x in folks $constructorCategory repeat
-;--  x := SUBLISLIS(formalParams,formals,x)
-;--  x := SUBLISLIS(IFCDR conform,formalParams,x)
-;--  x := SUBST('Type,'Object,x)
-;    acc := [:explodeIfs x,:acc]
-;  NREVERSE acc
-
-(DEFUN |asyParents| (|conform|)
-  (PROG (|$constructorCategory| |con| |modemap| |acc|)
-    (DECLARE (SPECIAL |$constructorCategory| |$mmAlist|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (SPADLET |con| (|opOf| |conform|))
-             (SPADLET |modemap| (LASSOC |con| |$mmAlist|))
-             (SPADLET |$constructorCategory|
-                      (|asySubstMapping| (CADAR |modemap|)))
-             (DO ((G166221 (|folks| |$constructorCategory|)
-                      (CDR G166221))
-                  (|x| NIL))
-                 ((OR (ATOM G166221)
-                      (PROGN (SETQ |x| (CAR G166221)) NIL))
-                  NIL)
-               (SEQ (EXIT (SPADLET |acc|
-                                   (APPEND (|explodeIfs| |x|) |acc|)))))
-             (NREVERSE |acc|))))))
-
-;asySubstMapping u ==
-;  u is [op,:r] =>
-;    op = "->" =>
-;       [s, t] := r
-;       args :=
-;          s is [op,:u] and asyComma? op => [asySubstMapping y for y in u]
-;          [asySubstMapping s]
-;       ['Mapping, asySubstMapping t, :args]
-;    [asySubstMapping x for x in u]
-;  u
-
-(DEFUN |asySubstMapping| (|u|)
-  (PROG (|r| |s| |t| |op| |args|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |u|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |u|))
-                     (SPADLET |r| (QCDR |u|))
-                     'T))
-              (COND
-                ((BOOT-EQUAL |op| '->) (SPADLET |s| (CAR |r|))
-                 (SPADLET |t| (CADR |r|))
-                 (SPADLET |args|
-                          (COND
-                            ((AND (PAIRP |s|)
-                                  (PROGN
-                                    (SPADLET |op| (QCAR |s|))
-                                    (SPADLET |u| (QCDR |s|))
-                                    'T)
-                                  (|asyComma?| |op|))
-                             (PROG (G166254)
-                               (SPADLET G166254 NIL)
-                               (RETURN
-                                 (DO ((G166259 |u| (CDR G166259))
-                                      (|y| NIL))
-                                     ((OR (ATOM G166259)
-                                       (PROGN
-                                         (SETQ |y| (CAR G166259))
-                                         NIL))
-                                      (NREVERSE0 G166254))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166254
-                                      (CONS (|asySubstMapping| |y|)
-                                       G166254))))))))
-                            ('T (CONS (|asySubstMapping| |s|) NIL))))
-                 (CONS '|Mapping|
-                       (CONS (|asySubstMapping| |t|) |args|)))
-                ('T
-                 (PROG (G166269)
-                   (SPADLET G166269 NIL)
-                   (RETURN
-                     (DO ((G166274 |u| (CDR G166274)) (|x| NIL))
-                         ((OR (ATOM G166274)
-                              (PROGN (SETQ |x| (CAR G166274)) NIL))
-                          (NREVERSE0 G166269))
-                       (SEQ (EXIT (SETQ G166269
-                                        (CONS (|asySubstMapping| |x|)
-                                         G166269))))))))))
-             ('T |u|))))))
-
-;--asyFilePackage asyFile ==
-;--  name := INTERN PATHNAME_-NAME asyFile
-;--  modemap :=
-;--    [[[name],['CATEGORY,'domain,
-;--      :[asyMkSignature(con,CDAR mm) for [con,:mm] in $mmAlist]]],['T,name]]
-;--  opAlist := [[con,[CDAR mm]] for [con,:mm] in $mmAlist]
-;--  documentation :=
-;--    [[con,[CDAR mm,fn LASSOC(con,$docAlist)]] for [con,:mm] in $mmAlist]
-;--      where fn u ==
-;--            LASSOC('constructor,u) is [[=nil,doc]] => doc
-;--            '""
-;--  res := [['constructorForm,name],['constant,:'true],
-;--           ['constructorKind,:'file],
-;--             ['constructorModemap,:modemap],
-;--               ['sourceFile,:PNAME name],
-;--                 ['operationAlist,:zeroOneConversion opAlist],
-;--                     ['documentation,:documentation]]
-;--asyDisplay(name,res)
-;--  [name,:res]
-;asyMkSignature(con,sig) ==
-;--  atom sig => ['TYPE,con,sig]
-;-- following line converts constants into nullary functions
-;  atom sig => ['SIGNATURE,con,[sig]]
-;  ['SIGNATURE,con,sig]
-
-(DEFUN |asyMkSignature| (|con| |sig|)
-  (COND
-    ((ATOM |sig|)
-     (CONS 'SIGNATURE (CONS |con| (CONS (CONS |sig| NIL) NIL))))
-    ('T (CONS 'SIGNATURE (CONS |con| (CONS |sig| NIL))))))
-
-;asMakeAlist con ==
-;  record := HGET($conHash,con)
-;  [form,sig,predlist,kind,exposure,comments,typeCode,:filename] := first record
-;--TTT in case we put the wrong thing in for niladic catgrs
-;--if ATOM(form) and kind='category then form:=[form]
-;  if ATOM(form) then form:=[form]
-;  kind = 'function => asMakeAlistForFunction con
-;  abb := asyAbbreviation(con,#(KDR sig))
-;  if null KDR form then PUT(opOf form,'NILADIC,'T)
-;  modemap := asySubstMapping LASSOC(con,$mmAlist)
-;  $constructorCategory :local := CADAR modemap
-;  parents := mySort HGET($parentsHash,con)
-;--children:= mySort HGET($childrenHash,con)
-;  alists  := HGET($opHash,con)
-;  opAlist := SUBLISLIS($FormalMapVariableList,KDR form,CDDR alists)
-;  ancestorAlist:= SUBLISLIS($FormalMapVariableList,KDR form,CAR alists)
-;  catAttrs := [[x,:true] for x in getAttributesFromCATEGORY $constructorCategory]
-;  attributeAlist := REMDUP [:CADR alists,:catAttrs]
-;  documentation :=
-;    SUBLISLIS($FormalMapVariableList,KDR form,LASSOC(con,$docAlist))
-;  filestring := STRCONC(PATHNAME_-NAME STRINGIMAGE filename,'".as")
-;  constantPart := HGET($constantHash,con) and [['constant,:true]]
-;  niladicPart := MEMQ(con,$niladics) and [['NILADIC,:true]]
-;  falist :=  TAKE(#KDR form,$FormalMapVariableList)
-;  constructorCategory :=
-;    kind = 'category =>
-;      talist := TAKE(#KDR form, $TriangleVariableList)
-;      SUBLISLIS(talist, falist, $constructorCategory)
-;    SUBLISLIS(falist,KDR form,$constructorCategory)
-;  if constructorCategory='Category then kind := 'category
-;  exportAlist := asGetExports(kind, form, constructorCategory)
-;  constructorModemap  := SUBLISLIS(falist,KDR form,modemap)
-;--TTT fix a niladic category constructormodemap (remove the joins)
-;  if kind = 'category then
-;     SETF(CADAR(constructorModemap),['Category])
-;  res := [['constructorForm,:form],:constantPart,:niladicPart,
-;           ['constructorKind,:kind],
-;             ['constructorModemap,:constructorModemap],
-;              ['abbreviation,:abb],
-;               ['constructorCategory,:constructorCategory],
-;                ['parents,:parents],
-;                 ['attributes,:attributeAlist],
-;                  ['ancestors,:ancestorAlist],
-;                   --                ['children,:children],
-;                   ['sourceFile,:filestring],
-;                    ['operationAlist,:zeroOneConversion opAlist],
-;                     ['modemaps,:asGetModemaps(exportAlist,form,kind,modemap)],
-;                       ['sourcefile,:$asFilename],
-;                         ['typeCode,:typeCode],
-;                          ['documentation,:documentation]]
-;  if $asyPrint then asyDisplay(con,res)
-;  res
-
-(DEFUN |asMakeAlist| (|con|)
-  (PROG (|$constructorCategory| |record| |LETTMP#1| |sig| |predlist|
-            |exposure| |comments| |typeCode| |filename| |form| |abb|
-            |modemap| |parents| |alists| |opAlist| |ancestorAlist|
-            |catAttrs| |attributeAlist| |documentation| |filestring|
-            |constantPart| |niladicPart| |falist| |talist|
-            |constructorCategory| |kind| |exportAlist|
-            |constructorModemap| |res|)
-    (DECLARE (SPECIAL |$constructorCategory| |$asyPrint| |$asFilename|
-                      |$TriangleVariableList| |$FormalMapVariableList|
-                      |$niladics| |$constantHash| |$docAlist| |$opHash|
-                      |$parentsHash| |$mmAlist| |$conHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |record| (HGET |$conHash| |con|))
-             (SPADLET |LETTMP#1| (CAR |record|))
-             (SPADLET |form| (CAR |LETTMP#1|))
-             (SPADLET |sig| (CADR |LETTMP#1|))
-             (SPADLET |predlist| (CADDR |LETTMP#1|))
-             (SPADLET |kind| (CADDDR |LETTMP#1|))
-             (SPADLET |exposure| (CAR (CDDDDR |LETTMP#1|)))
-             (SPADLET |comments| (CADR (CDDDDR |LETTMP#1|)))
-             (SPADLET |typeCode| (CADDR (CDDDDR |LETTMP#1|)))
-             (SPADLET |filename| (CDDDR (CDDDDR |LETTMP#1|)))
-             (COND ((ATOM |form|) (SPADLET |form| (CONS |form| NIL))))
-             (COND
-               ((BOOT-EQUAL |kind| '|function|)
-                (|asMakeAlistForFunction| |con|))
-               ('T
-                (SPADLET |abb|
-                         (|asyAbbreviation| |con| (|#| (KDR |sig|))))
-                (COND
-                  ((NULL (KDR |form|))
-                   (PUT (|opOf| |form|) 'NILADIC 'T)))
-                (SPADLET |modemap|
-                         (|asySubstMapping| (LASSOC |con| |$mmAlist|)))
-                (SPADLET |$constructorCategory| (CADAR |modemap|))
-                (SPADLET |parents|
-                         (|mySort| (HGET |$parentsHash| |con|)))
-                (SPADLET |alists| (HGET |$opHash| |con|))
-                (SPADLET |opAlist|
-                         (SUBLISLIS |$FormalMapVariableList|
-                             (KDR |form|) (CDDR |alists|)))
-                (SPADLET |ancestorAlist|
-                         (SUBLISLIS |$FormalMapVariableList|
-                             (KDR |form|) (CAR |alists|)))
-                (SPADLET |catAttrs|
-                         (PROG (G166322)
-                           (SPADLET G166322 NIL)
-                           (RETURN
-                             (DO ((G166327
-                                      (|getAttributesFromCATEGORY|
-                                       |$constructorCategory|)
-                                      (CDR G166327))
-                                  (|x| NIL))
-                                 ((OR (ATOM G166327)
-                                      (PROGN
-                                        (SETQ |x| (CAR G166327))
-                                        NIL))
-                                  (NREVERSE0 G166322))
-                               (SEQ (EXIT
-                                     (SETQ G166322
-                                      (CONS (CONS |x| 'T) G166322))))))))
-                (SPADLET |attributeAlist|
-                         (REMDUP (APPEND (CADR |alists|) |catAttrs|)))
-                (SPADLET |documentation|
-                         (SUBLISLIS |$FormalMapVariableList|
-                             (KDR |form|) (LASSOC |con| |$docAlist|)))
-                (SPADLET |filestring|
-                         (STRCONC (PATHNAME-NAME
-                                      (STRINGIMAGE |filename|))
-                                  ".as"))
-                (SPADLET |constantPart|
-                         (AND (HGET |$constantHash| |con|)
-                              (CONS (CONS '|constant| 'T) NIL)))
-                (SPADLET |niladicPart|
-                         (AND (member |con| |$niladics|)
-                              (CONS (CONS 'NILADIC 'T) NIL)))
-                (SPADLET |falist|
-                         (TAKE (|#| (KDR |form|))
-                               |$FormalMapVariableList|))
-                (SPADLET |constructorCategory|
-                         (COND
-                           ((BOOT-EQUAL |kind| '|category|)
-                            (SPADLET |talist|
-                                     (TAKE (|#| (KDR |form|))
-                                      |$TriangleVariableList|))
-                            (SUBLISLIS |talist| |falist|
-                                |$constructorCategory|))
-                           ('T
-                            (SUBLISLIS |falist| (KDR |form|)
-                                |$constructorCategory|))))
-                (COND
-                  ((BOOT-EQUAL |constructorCategory| '|Category|)
-                   (SPADLET |kind| '|category|)))
-                (SPADLET |exportAlist|
-                         (|asGetExports| |kind| |form|
-                             |constructorCategory|))
-                (SPADLET |constructorModemap|
-                         (SUBLISLIS |falist| (KDR |form|) |modemap|))
-                (COND
-                  ((BOOT-EQUAL |kind| '|category|)
-                   (SETF (CADAR |constructorModemap|)
-                         (CONS '|Category| NIL))))
-                (SPADLET |res|
-                         (CONS (CONS '|constructorForm| |form|)
-                               (APPEND |constantPart|
-                                       (APPEND |niladicPart|
-                                        (CONS
-                                         (CONS '|constructorKind|
-                                          |kind|)
-                                         (CONS
-                                          (CONS '|constructorModemap|
-                                           |constructorModemap|)
-                                          (CONS
-                                           (CONS '|abbreviation| |abb|)
-                                           (CONS
-                                            (CONS
-                                             '|constructorCategory|
-                                             |constructorCategory|)
-                                            (CONS
-                                             (CONS '|parents|
-                                              |parents|)
-                                             (CONS
-                                              (CONS '|attributes|
-                                               |attributeAlist|)
-                                              (CONS
-                                               (CONS '|ancestors|
-                                                |ancestorAlist|)
-                                               (CONS
-                                                (CONS '|sourceFile|
-                                                 |filestring|)
-                                                (CONS
-                                                 (CONS
-                                                  '|operationAlist|
-                                                  (|zeroOneConversion|
-                                                   |opAlist|))
-                                                 (CONS
-                                                  (CONS '|modemaps|
-                                                   (|asGetModemaps|
-                                                    |exportAlist|
-                                                    |form| |kind|
-                                                    |modemap|))
-                                                  (CONS
-                                                   (CONS '|sourcefile|
-                                                    |$asFilename|)
-                                                   (CONS
-                                                    (CONS '|typeCode|
-                                                     |typeCode|)
-                                                    (CONS
-                                                     (CONS
-                                                      '|documentation|
-                                                      |documentation|)
-                                                     NIL)))))))))))))))))
-                (COND (|$asyPrint| (|asyDisplay| |con| |res|))) |res|)))))))
-
-;asGetExports(kind, conform, catform) ==
-;  u := asCategoryParts(kind, conform, catform, true) or return nil
-;  -- ensure that signatures are lists
-;  [[op, sigpred] for [op,sig,:pred] in CDDR u] where
-;    sigpred ==
-;      pred :=
-;        pred = "T" => nil
-;        pred
-;      [sig, nil, :pred]
-
-(DEFUN |asGetExports| (|kind| |conform| |catform|)
-  (PROG (|u| |op| |sig| |pred|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |u|
-                      (OR (|asCategoryParts| |kind| |conform| |catform|
-                              'T)
-                          (RETURN NIL)))
-             (PROG (G166390)
-               (SPADLET G166390 NIL)
-               (RETURN
-                 (DO ((G166398 (CDDR |u|) (CDR G166398))
-                      (G166372 NIL))
-                     ((OR (ATOM G166398)
-                          (PROGN (SETQ G166372 (CAR G166398)) NIL)
-                          (PROGN
-                            (PROGN
-                              (SPADLET |op| (CAR G166372))
-                              (SPADLET |sig| (CADR G166372))
-                              (SPADLET |pred| (CDDR G166372))
-                              G166372)
-                            NIL))
-                      (NREVERSE0 G166390))
-                   (SEQ (EXIT (SETQ G166390
-                                    (CONS
-                                     (CONS |op|
-                                      (CONS
-                                       (PROGN
-                                         (SPADLET |pred|
-                                          (COND
-                                            ((BOOT-EQUAL |pred| 'T)
-                                             NIL)
-                                            ('T |pred|)))
-                                         (CONS |sig| (CONS NIL |pred|)))
-                                       NIL))
-                                     G166390))))))))))))
-
-;asMakeAlistForFunction fn ==
-;  record := HGET($conHash,fn)
-;  [form,sig,predlist,kind,exposure,comments,typeCode,:filename] := first record
-;  modemap := LASSOC(fn,$mmAlist)
-;  newsig := asySignature(sig,nil)
-;  opAlist := [[fn,[newsig,nil,:predlist]]]
-;  res := [['modemaps,:asGetModemaps(opAlist,fn,'function,modemap)],
-;            ['typeCode,:typeCode]]
-;  if $asyPrint then asyDisplay(fn,res)
-;  res
-
-(DEFUN |asMakeAlistForFunction| (|fn|)
-  (PROG (|record| |LETTMP#1| |form| |sig| |predlist| |kind| |exposure|
-            |comments| |typeCode| |filename| |modemap| |newsig|
-            |opAlist| |res|)
-  (declare (special |$asyPrint| |$mmAlist| |$conHash|))
-    (RETURN
-      (PROGN
-        (SPADLET |record| (HGET |$conHash| |fn|))
-        (SPADLET |LETTMP#1| (CAR |record|))
-        (SPADLET |form| (CAR |LETTMP#1|))
-        (SPADLET |sig| (CADR |LETTMP#1|))
-        (SPADLET |predlist| (CADDR |LETTMP#1|))
-        (SPADLET |kind| (CADDDR |LETTMP#1|))
-        (SPADLET |exposure| (CAR (CDDDDR |LETTMP#1|)))
-        (SPADLET |comments| (CADR (CDDDDR |LETTMP#1|)))
-        (SPADLET |typeCode| (CADDR (CDDDDR |LETTMP#1|)))
-        (SPADLET |filename| (CDDDR (CDDDDR |LETTMP#1|)))
-        (SPADLET |modemap| (LASSOC |fn| |$mmAlist|))
-        (SPADLET |newsig| (|asySignature| |sig| NIL))
-        (SPADLET |opAlist|
-                 (CONS (CONS |fn|
-                             (CONS (CONS |newsig|
-                                    (CONS NIL |predlist|))
-                                   NIL))
-                       NIL))
-        (SPADLET |res|
-                 (CONS (CONS '|modemaps|
-                             (|asGetModemaps| |opAlist| |fn|
-                                 '|function| |modemap|))
-                       (CONS (CONS '|typeCode| |typeCode|) NIL)))
-        (COND (|$asyPrint| (|asyDisplay| |fn| |res|)))
-        |res|))))
-
-;getAttributesFromCATEGORY catform ==
-;  catform is ['CATEGORY,.,:r] => [y for x in r | x is ['ATTRIBUTE,y]]
-;  catform is ['Join,:m,x]     => getAttributesFromCATEGORY x
-;  nil
-
-(DEFUN |getAttributesFromCATEGORY| (|catform|)
-  (PROG (|r| |y| |ISTMP#1| |ISTMP#2| |x| |m|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |catform|) (EQ (QCAR |catform|) 'CATEGORY)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |catform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN (SPADLET |r| (QCDR |ISTMP#1|)) 'T))))
-              (PROG (G166477)
-                (SPADLET G166477 NIL)
-                (RETURN
-                  (DO ((G166483 |r| (CDR G166483)) (|x| NIL))
-                      ((OR (ATOM G166483)
-                           (PROGN (SETQ |x| (CAR G166483)) NIL))
-                       (NREVERSE0 G166477))
-                    (SEQ (EXIT (COND
-                                 ((AND (PAIRP |x|)
-                                       (EQ (QCAR |x|) 'ATTRIBUTE)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (EQ (QCDR |ISTMP#1|) NIL)
-                                          (PROGN
-                                            (SPADLET |y|
-                                             (QCAR |ISTMP#1|))
-                                            'T))))
-                                  (SETQ G166477 (CONS |y| G166477))))))))))
-             ((AND (PAIRP |catform|) (EQ (QCAR |catform|) '|Join|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |catform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
-                            'T)
-                          (PAIRP |ISTMP#2|)
-                          (PROGN
-                            (SPADLET |x| (QCAR |ISTMP#2|))
-                            (SPADLET |m| (QCDR |ISTMP#2|))
-                            'T)
-                          (PROGN (SPADLET |m| (NREVERSE |m|)) 'T))))
-              (|getAttributesFromCATEGORY| |x|))
-             ('T NIL))))))
-
-;displayDatabase x == main where
-;  main ==
-;    for y in
-;     '(CONSTRUCTORFORM CONSTRUCTORKIND _
-;       CONSTRUCTORMODEMAP _
-;       ABBREVIATION _
-;       CONSTRUCTORCATEGORY _
-;       PARENTS _
-;       ATTRIBUTES _
-;       ANCESTORS _
-;       SOURCEFILE _
-;       OPERATIONALIST _
-;       MODEMAPS _
-;       SOURCEFILE _
-;       DOCUMENTATION) repeat fn(x,y)
-;  fn(x,y) ==
-;    sayBrightly ['"----------------- ",y,'" --------------------"]
-;    pp GETDATABASE(x,y)
-
-(DEFUN |displayDatabase,fn| (|x| |y|)
-  (SEQ (|sayBrightly|
-           (CONS "----------------- "
-                 (CONS |y|
-                       (CONS " --------------------" NIL))))
-       (EXIT (|pp| (GETDATABASE |x| |y|)))))
-
-(DEFUN |displayDatabase| (|x|)
-  (SEQ (DO ((G166510
-                '(CONSTRUCTORFORM CONSTRUCTORKIND CONSTRUCTORMODEMAP
-                     ABBREVIATION CONSTRUCTORCATEGORY PARENTS
-                     ATTRIBUTES ANCESTORS SOURCEFILE OPERATIONALIST
-                     MODEMAPS SOURCEFILE DOCUMENTATION)
-                (CDR G166510))
-            (|y| NIL))
-           ((OR (ATOM G166510)
-                (PROGN (SETQ |y| (CAR G166510)) NIL))
-            NIL)
-         (SEQ (EXIT (|displayDatabase,fn| |x| |y|))))))
-
-;-- For some reason Dick has modified as.boot to convert the
-;-- identifier |0| or |1| to an integer in the list of operations.
-;-- This is WRONG, all existing code assumes that operation names
-;-- are always identifiers not numbers.
-;-- This function breaks the ability of the interpreter to find
-;-- |0| or |1| as exports of new compiler domains.
-;-- Unless someone has a strong reason for keeping the change,
-;-- this function should be no-opped, i.e.
-;-- zeroOneConversion opAlist == opAlist
-;-- If this change is made, then we are able to find asharp constants again.
-;--   bmt Mar 26, 1994  and executed by rss
-;zeroOneConversion opAlist == opAlist
-
-(DEFUN |zeroOneConversion| (|opAlist|) |opAlist|) 
-
-;--   for u in opAlist repeat
-;--     [op,:.] := u
-;--     DIGITP (PNAME op).0 => RPLACA(u, string2Integer PNAME op)
-;--   opAlist
-;asyDisplay(con,alist) ==
-;  banner := '"=============================="
-;  sayBrightly [banner,'" ",con,'" ",banner]
-;  for [prop,:value] in alist repeat
-;    sayBrightlyNT [prop,'": "]
-;    pp value
-
-(DEFUN |asyDisplay| (|con| |alist|)
-  (PROG (|banner| |prop| |value|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |banner|
-                      "==============================")
-             (|sayBrightly|
-                 (CONS |banner|
-                       (CONS " "
-                             (CONS |con|
-                                   (CONS " "
-                                    (CONS |banner| NIL))))))
-             (DO ((G166534 |alist| (CDR G166534)) (G166523 NIL))
-                 ((OR (ATOM G166534)
-                      (PROGN (SETQ G166523 (CAR G166534)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |prop| (CAR G166523))
-                          (SPADLET |value| (CDR G166523))
-                          G166523)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (|sayBrightlyNT|
-                                (CONS |prop|
-                                      (CONS ": " NIL)))
-                            (|pp| |value|))))))))))
-
-;asGetModemaps(opAlist,oform,kind,modemap) ==
-;  acc:= nil
-;  rpvl:=
-;    MEMQ(kind, '(category function)) => rest $PatternVariableList -- *1 is special for $
-;    $PatternVariableList
-;  form := [opOf oform,:[y for x in KDR oform for y in rpvl]]
-;  dc :=
-;    MEMQ(kind, '(category function)) => "*1"
-;    form
-;  pred1 :=
-;    kind = 'category => [["*1",form]]
-;    nil
-;  signature  := CDAR modemap
-;  domainList :=
-;    [[a,m] for a in rest form for m in rest signature |
-;       asIsCategoryForm m]
-;  catPredList:=
-;    kind = 'function => [["isFreeFunction","*1",opOf form]]
-;    [['ofCategory,:u] for u in [:pred1,:domainList]]
-;--  for [op,:itemlist] in SUBLISLIS(rpvl, $FormalMapVariableList,opAlist) repeat
-;--  the code seems to oscillate between generating $FormalMapVariableList
-;--  and generating $TriangleVariableList
-;  for [op,:itemlist] in SUBLISLIS(rpvl, $FormalMapVariableList,opAlist) repeat
-;    for [sig0, pred] in itemlist repeat
-;      sig := SUBST(dc,"$",sig0)
-;      pred:= SUBST(dc,"$",pred)
-;      sig := SUBLISLIS(rpvl,KDR oform,sig)
-;      pred:= SUBLISLIS(rpvl,KDR oform,pred)
-;      pred := pred or 'T
-;  ----------> Constants change <--------------
-;      if IDENTP sig0 then
-;          sig := [sig]
-;          pred := MKPF([pred,'(isAsConstant)],'AND)
-;      pred' := MKPF([pred,:catPredList],'AND)
-;      mm := [[dc,:sig],[pred']]
-;      acc := [[op,:interactiveModemapForm mm],:acc]
-;  NREVERSE acc
-
-(DEFUN |asGetModemaps| (|opAlist| |oform| |kind| |modemap|)
-  (PROG (|rpvl| |form| |dc| |pred1| |signature| |domainList|
-                |catPredList| |op| |itemlist| |sig0| |sig| |pred|
-                |pred'| |mm| |acc|)
-  (declare (special |$FormalMapVariableList| |$PatternVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (SPADLET |rpvl|
-                      (COND
-                        ((member |kind| '(|category| |function|))
-                         (CDR |$PatternVariableList|))
-                        ('T |$PatternVariableList|)))
-             (SPADLET |form|
-                      (CONS (|opOf| |oform|)
-                            (PROG (G166567)
-                              (SPADLET G166567 NIL)
-                              (RETURN
-                                (DO ((G166573 (KDR |oform|)
-                                      (CDR G166573))
-                                     (|x| NIL)
-                                     (G166574 |rpvl| (CDR G166574))
-                                     (|y| NIL))
-                                    ((OR (ATOM G166573)
-                                      (PROGN
-                                        (SETQ |x| (CAR G166573))
-                                        NIL)
-                                      (ATOM G166574)
-                                      (PROGN
-                                        (SETQ |y| (CAR G166574))
-                                        NIL))
-                                     (NREVERSE0 G166567))
-                                  (SEQ (EXIT
-                                        (SETQ G166567
-                                         (CONS |y| G166567)))))))))
-             (SPADLET |dc|
-                      (COND
-                        ((member |kind| '(|category| |function|)) '*1)
-                        ('T |form|)))
-             (SPADLET |pred1|
-                      (COND
-                        ((BOOT-EQUAL |kind| '|category|)
-                         (CONS (CONS '*1 (CONS |form| NIL)) NIL))
-                        ('T NIL)))
-             (SPADLET |signature| (CDAR |modemap|))
-             (SPADLET |domainList|
-                      (PROG (G166589)
-                        (SPADLET G166589 NIL)
-                        (RETURN
-                          (DO ((G166596 (CDR |form|) (CDR G166596))
-                               (|a| NIL)
-                               (G166597 (CDR |signature|)
-                                   (CDR G166597))
-                               (|m| NIL))
-                              ((OR (ATOM G166596)
-                                   (PROGN
-                                     (SETQ |a| (CAR G166596))
-                                     NIL)
-                                   (ATOM G166597)
-                                   (PROGN
-                                     (SETQ |m| (CAR G166597))
-                                     NIL))
-                               (NREVERSE0 G166589))
-                            (SEQ (EXIT (COND
-                                         ((|asIsCategoryForm| |m|)
-                                          (SETQ G166589
-                                           (CONS
-                                            (CONS |a| (CONS |m| NIL))
-                                            G166589))))))))))
-             (SPADLET |catPredList|
-                      (COND
-                        ((BOOT-EQUAL |kind| '|function|)
-                         (CONS (CONS '|isFreeFunction|
-                                     (CONS '*1
-                                      (CONS (|opOf| |form|) NIL)))
-                               NIL))
-                        ('T
-                         (PROG (G166610)
-                           (SPADLET G166610 NIL)
-                           (RETURN
-                             (DO ((G166615
-                                      (APPEND |pred1| |domainList|)
-                                      (CDR G166615))
-                                  (|u| NIL))
-                                 ((OR (ATOM G166615)
-                                      (PROGN
-                                        (SETQ |u| (CAR G166615))
-                                        NIL))
-                                  (NREVERSE0 G166610))
-                               (SEQ (EXIT
-                                     (SETQ G166610
-                                      (CONS (CONS '|ofCategory| |u|)
-                                       G166610))))))))))
-             (DO ((G166637
-                      (SUBLISLIS |rpvl| |$FormalMapVariableList|
-                          |opAlist|)
-                      (CDR G166637))
-                  (G166557 NIL))
-                 ((OR (ATOM G166637)
-                      (PROGN (SETQ G166557 (CAR G166637)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAR G166557))
-                          (SPADLET |itemlist| (CDR G166557))
-                          G166557)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (DO ((G166657 |itemlist| (CDR G166657))
-                               (G166553 NIL))
-                              ((OR (ATOM G166657)
-                                   (PROGN
-                                     (SETQ G166553 (CAR G166657))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |sig0| (CAR G166553))
-                                       (SPADLET |pred|
-                                        (CADR G166553))
-                                       G166553)
-                                     NIL))
-                               NIL)
-                            (SEQ (EXIT (PROGN
-                                         (SPADLET |sig|
-                                          (MSUBST |dc| '$ |sig0|))
-                                         (SPADLET |pred|
-                                          (MSUBST |dc| '$ |pred|))
-                                         (SPADLET |sig|
-                                          (SUBLISLIS |rpvl|
-                                           (KDR |oform|) |sig|))
-                                         (SPADLET |pred|
-                                          (SUBLISLIS |rpvl|
-                                           (KDR |oform|) |pred|))
-                                         (SPADLET |pred|
-                                          (OR |pred| 'T))
-                                         (COND
-                                           ((IDENTP |sig0|)
-                                            (SPADLET |sig|
-                                             (CONS |sig| NIL))
-                                            (SPADLET |pred|
-                                             (MKPF
-                                              (CONS |pred|
-                                               (CONS '(|isAsConstant|)
-                                                NIL))
-                                              'AND))))
-                                         (SPADLET |pred'|
-                                          (MKPF
-                                           (CONS |pred| |catPredList|)
-                                           'AND))
-                                         (SPADLET |mm|
-                                          (CONS (CONS |dc| |sig|)
-                                           (CONS (CONS |pred'| NIL)
-                                            NIL)))
-                                         (SPADLET |acc|
-                                          (CONS
-                                           (CONS |op|
-                                            (|interactiveModemapForm|
-                                             |mm|))
-                                           |acc|)))))))))
-             (NREVERSE |acc|))))))
-
-;asIsCategoryForm m ==
-;  m = 'BasicType or GETDATABASE(opOf m,'CONSTRUCTORKIND) = 'category
-
-(DEFUN |asIsCategoryForm| (|m|)
-  (OR (BOOT-EQUAL |m| '|BasicType|)
-      (BOOT-EQUAL (GETDATABASE (|opOf| |m|) 'CONSTRUCTORKIND)
-          '|category|)))
-
-;asyDocumentation con ==
-;  docHash := HGET($docHash,con)
-;  u := [[op,:[fn(x,op) for x in rec]] for op in HKEYS docHash
-;           | rec := HGET(docHash,op)] where fn(x,op) ==
-;    [form,sig,pred,origin,where?,comments,:.] := x
-;    ----------> Constants change <--------------
-;    if IDENTP sig then sig := [sig]
-;    [asySignature(sig,nil),trimComments comments]
-;  [form,sig,pred,origin,where?,comments] := first HGET($conHash,con)
-;  --above "first" assumes only one entry
-;  comments := trimComments asyExtractDescription comments
-;  [:u,['constructor,[nil,comments]]]
-
-(DEFUN |asyDocumentation,fn| (|x| |op|)
-  (declare (ignore |op|))
-  (PROG (|form| |pred| |origin| |where?| |comments| |sig|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form| (CAR |x|))
-             (SPADLET |sig| (CADR |x|))
-             (SPADLET |pred| (CADDR |x|))
-             (SPADLET |origin| (CADDDR |x|))
-             (SPADLET |where?| (CAR (CDDDDR |x|)))
-             (SPADLET |comments| (CADR (CDDDDR |x|)))
-             |x|)
-           (IF (IDENTP |sig|) (SPADLET |sig| (CONS |sig| NIL)) NIL)
-           (EXIT (CONS (|asySignature| |sig| NIL)
-                       (CONS (|trimComments| |comments|) NIL)))))))
-
-(DEFUN |asyDocumentation| (|con|)
-  (PROG (|docHash| |rec| |u| |LETTMP#1| |form| |sig| |pred| |origin|
-            |where?| |comments|)
-  (declare (special |$conHash| |$docHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |docHash| (HGET |$docHash| |con|))
-             (SPADLET |u|
-                      (PROG (G166735)
-                        (SPADLET G166735 NIL)
-                        (RETURN
-                          (DO ((G166741 (HKEYS |docHash|)
-                                   (CDR G166741))
-                               (|op| NIL))
-                              ((OR (ATOM G166741)
-                                   (PROGN
-                                     (SETQ |op| (CAR G166741))
-                                     NIL))
-                               (NREVERSE0 G166735))
-                            (SEQ (EXIT (COND
-                                         ((SPADLET |rec|
-                                           (HGET |docHash| |op|))
-                                          (SETQ G166735
-                                           (CONS
-                                            (CONS |op|
-                                             (PROG (G166751)
-                                               (SPADLET G166751 NIL)
-                                               (RETURN
-                                                 (DO
-                                                  ((G166756 |rec|
-                                                    (CDR G166756))
-                                                   (|x| NIL))
-                                                  ((OR (ATOM G166756)
-                                                    (PROGN
-                                                      (SETQ |x|
-                                                       (CAR G166756))
-                                                      NIL))
-                                                   (NREVERSE0
-                                                    G166751))
-                                                   (SEQ
-                                                    (EXIT
-                                                     (SETQ G166751
-                                                      (CONS
-                                                       (|asyDocumentation,fn|
-                                                        |x| |op|)
-                                                       G166751))))))))
-                                            G166735))))))))))
-             (SPADLET |LETTMP#1| (CAR (HGET |$conHash| |con|)))
-             (SPADLET |form| (CAR |LETTMP#1|))
-             (SPADLET |sig| (CADR |LETTMP#1|))
-             (SPADLET |pred| (CADDR |LETTMP#1|))
-             (SPADLET |origin| (CADDDR |LETTMP#1|))
-             (SPADLET |where?| (CAR (CDDDDR |LETTMP#1|)))
-             (SPADLET |comments| (CADR (CDDDDR |LETTMP#1|)))
-             (SPADLET |comments|
-                      (|trimComments|
-                          (|asyExtractDescription| |comments|)))
-             (APPEND |u|
-                     (CONS (CONS '|constructor|
-                                 (CONS (CONS NIL (CONS |comments| NIL))
-                                       NIL))
-                           NIL)))))))
-
-;asyExtractDescription str ==
-;  k := STRPOS('"Description:",str,0,nil) => asyExtractDescription SUBSTRING(str,k + 12,nil)
-;  k := STRPOS('"Author:",str,0,nil) => asyExtractDescription SUBSTRING(str,0,k)
-;  str
-
-(DEFUN |asyExtractDescription| (|str|)
-  (PROG (|k|)
-    (RETURN
-      (COND
-        ((SPADLET |k| (STRPOS "Description:" |str| 0 NIL))
-         (|asyExtractDescription| (SUBSTRING |str| (PLUS |k| 12) NIL)))
-        ((SPADLET |k| (STRPOS "Author:" |str| 0 NIL))
-         (|asyExtractDescription| (SUBSTRING |str| 0 |k|)))
-        ('T |str|)))))
-
-;trimComments str ==
-;  null str or str = '"" => '""
-;  m := MAXINDEX str
-;  str := SUBSTRING(str,0,m)
-;  trimString str
-
-(DEFUN |trimComments| (|str|)
-  (PROG (|m|)
-    (RETURN
-      (COND
-        ((OR (NULL |str|) (BOOT-EQUAL |str| ""))
-         "")
-        ('T (SPADLET |m| (MAXINDEX |str|))
-         (SPADLET |str| (SUBSTRING |str| 0 |m|)) (|trimString| |str|))))))
-
-;asyExportAlist con ==
-;--format of 'operationAlist property of LISPLIBS (as returned from koOps):
-;--    
-;--    
-;--!!! asyFile NEED: need to know if function is implemented by domain!!!
-;  docHash := HGET($docHash,con)
-;  [[op,:[fn(x,op) for x in rec]] for op in HKEYS docHash | rec := HGET(docHash,op)]
-;       where fn(x,op) ==
-;    [form,sig,pred,origin,where?,comments,:.] := x
-;    tail :=
-;      pred => [pred]
-;      nil
-;    newSig := asySignature(sig,nil)
-;    [newSig,nil,:tail]
-
-(DEFUN |asyExportAlist,fn| (|x| |op|)
-  (declare (ignore |op|))
-  (PROG (|form| |sig| |pred| |origin| |where?| |comments| |tail|
-                |newSig|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form| (CAR |x|))
-             (SPADLET |sig| (CADR |x|))
-             (SPADLET |pred| (CADDR |x|))
-             (SPADLET |origin| (CADDDR |x|))
-             (SPADLET |where?| (CAR (CDDDDR |x|)))
-             (SPADLET |comments| (CADR (CDDDDR |x|)))
-             |x|)
-           (SPADLET |tail|
-                    (SEQ (IF |pred| (EXIT (CONS |pred| NIL)))
-                         (EXIT NIL)))
-           (SPADLET |newSig| (|asySignature| |sig| NIL))
-           (EXIT (CONS |newSig| (CONS NIL |tail|)))))))
-
-(DEFUN |asyExportAlist| (|con|)
-  (PROG (|docHash| |rec|)
-  (declare (special |$docHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |docHash| (HGET |$docHash| |con|))
-             (PROG (G166817)
-               (SPADLET G166817 NIL)
-               (RETURN
-                 (DO ((G166823 (HKEYS |docHash|) (CDR G166823))
-                      (|op| NIL))
-                     ((OR (ATOM G166823)
-                          (PROGN (SETQ |op| (CAR G166823)) NIL))
-                      (NREVERSE0 G166817))
-                   (SEQ (EXIT (COND
-                                ((SPADLET |rec| (HGET |docHash| |op|))
-                                 (SETQ G166817
-                                       (CONS
-                                        (CONS |op|
-                                         (PROG (G166833)
-                                           (SPADLET G166833 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G166838 |rec|
-                                                (CDR G166838))
-                                               (|x| NIL))
-                                              ((OR (ATOM G166838)
-                                                (PROGN
-                                                  (SETQ |x|
-                                                   (CAR G166838))
-                                                  NIL))
-                                               (NREVERSE0 G166833))
-                                               (SEQ
-                                                (EXIT
-                                                 (SETQ G166833
-                                                  (CONS
-                                                   (|asyExportAlist,fn|
-                                                    |x| |op|)
-                                                   G166833))))))))
-                                        G166817))))))))))))))
-
-;asyMakeOperationAlist(con,proplist, key) ==
-;  oplist :=
-;    u := LASSOC('domExports,proplist) =>
-;      kind := 'domain
-;      u
-;    u := LASSOC('catExports,proplist) =>
-;      kind := 'category
-;      u
-;    key = 'domain =>
-;      kind := 'domain
-;      u := NIL
-;    return nil
-;  ht := MAKE_-HASH_-TABLE()
-;  ancestorAlist := nil
-;  for ['Declare,id,form,r] in oplist repeat
-;    id = "%%" =>
-;      opOf form = con => nil
-;      y := asyAncestors form
-;      [attrs, na] := asyFindAttrs y
-;      y := na
-;      if opOf(y)^=con then ancestorAlist := [ [y,:true],:ancestorAlist]
-;    idForm   :=
-;      form is ['Apply,'_-_>,source,target] => [id,:asyArgs source]
-;  ----------> Constants change <--------------
-;      id
-;    pred :=
-;      LASSOC('condition,r) is p => hackToRemoveAnd p
-;      nil
-;    sig := asySignature(asytranForm(form,[idForm],nil),nil)
-;    entry :=
-;      --id ^= "%%" and IDENTP idForm => [[sig],nil,nil,'ASCONST]
-;      id ^= "%%" and IDENTP idForm =>
-;          pred => [[sig],nil,asyPredTran pred,'ASCONST]
-;          [[sig],nil,true,'ASCONST]
-;      pred => [sig,nil,asyPredTran pred]
-;      [sig]
-;    HPUT(ht,id,[entry,:HGET(ht,id)])
-;  opalist := [[op,:REMDUP HGET(ht,op)] for op in HKEYS ht]
-;  --HPUT($opHash,con,[ancestorAlist,attributeAlist,:opalist])
-;  HPUT($opHash,con,[ancestorAlist,nil,:opalist])
-
-(DEFUN |asyMakeOperationAlist| (|con| |proplist| |key|)
-  (PROG (|kind| |u| |oplist| |ht| |id| |form| |r| |LETTMP#1| |attrs|
-                |na| |y| |ancestorAlist| |ISTMP#1| |ISTMP#2| |source|
-                |ISTMP#3| |target| |idForm| |p| |pred| |sig| |entry|
-                |opalist|)
-  (declare (special |$opHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |oplist|
-                      (COND
-                        ((SPADLET |u|
-                                  (LASSOC '|domExports| |proplist|))
-                         (SPADLET |kind| '|domain|) |u|)
-                        ((SPADLET |u|
-                                  (LASSOC '|catExports| |proplist|))
-                         (SPADLET |kind| '|category|) |u|)
-                        ((BOOT-EQUAL |key| '|domain|)
-                         (SPADLET |kind| '|domain|) (SPADLET |u| NIL))
-                        ('T (RETURN NIL))))
-             (SPADLET |ht| (MAKE-HASH-TABLE))
-             (SPADLET |ancestorAlist| NIL)
-             (DO ((G166914 |oplist| (CDR G166914)) (G166893 NIL))
-                 ((OR (ATOM G166914)
-                      (PROGN (SETQ G166893 (CAR G166914)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |id| (CADR G166893))
-                          (SPADLET |form| (CADDR G166893))
-                          (SPADLET |r| (CADDDR G166893))
-                          G166893)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((BOOT-EQUAL |id| '%%)
-                             (COND
-                               ((BOOT-EQUAL (|opOf| |form|) |con|) NIL)
-                               ('T
-                                (SPADLET |y| (|asyAncestors| |form|))
-                                (SPADLET |LETTMP#1|
-                                         (|asyFindAttrs| |y|))
-                                (SPADLET |attrs| (CAR |LETTMP#1|))
-                                (SPADLET |na| (CADR |LETTMP#1|))
-                                (SPADLET |y| |na|)
-                                (COND
-                                  ((NEQUAL (|opOf| |y|) |con|)
-                                   (SPADLET |ancestorAlist|
-                                    (CONS (CONS |y| 'T)
-                                     |ancestorAlist|)))
-                                  ('T NIL)))))
-                            ('T
-                             (SPADLET |idForm|
-                                      (COND
-                                        ((AND (PAIRP |form|)
-                                          (EQ (QCAR |form|) '|Apply|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#1|
-                                             (QCDR |form|))
-                                            (AND (PAIRP |ISTMP#1|)
-                                             (EQ (QCAR |ISTMP#1|) '->)
-                                             (PROGN
-                                               (SPADLET |ISTMP#2|
-                                                (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
-                                                (PROGN
-                                                  (SPADLET |source|
-                                                   (QCAR |ISTMP#2|))
-                                                  (SPADLET |ISTMP#3|
-                                                   (QCDR |ISTMP#2|))
-                                                  (AND
-                                                   (PAIRP |ISTMP#3|)
-                                                   (EQ (QCDR |ISTMP#3|)
-                                                    NIL)
-                                                   (PROGN
-                                                     (SPADLET |target|
-                                                      (QCAR |ISTMP#3|))
-                                                     'T))))))))
-                                         (CONS |id|
-                                          (|asyArgs| |source|)))
-                                        ('T |id|)))
-                             (SPADLET |pred|
-                                      (COND
-                                        ((PROGN
-                                           (SPADLET |p|
-                                            (LASSOC '|condition| |r|))
-                                           'T)
-                                         (|hackToRemoveAnd| |p|))
-                                        ('T NIL)))
-                             (SPADLET |sig|
-                                      (|asySignature|
-                                       (|asytranForm| |form|
-                                        (CONS |idForm| NIL) NIL)
-                                       NIL))
-                             (SPADLET |entry|
-                                      (COND
-                                        ((AND (NEQUAL |id| '%%)
-                                          (IDENTP |idForm|))
-                                         (COND
-                                           (|pred|
-                                            (CONS (CONS |sig| NIL)
-                                             (CONS NIL
-                                              (CONS
-                                               (|asyPredTran| |pred|)
-                                               (CONS 'ASCONST NIL)))))
-                                           ('T
-                                            (CONS (CONS |sig| NIL)
-                                             (CONS NIL
-                                              (CONS 'T
-                                               (CONS 'ASCONST NIL)))))))
-                                        (|pred|
-                                         (CONS |sig|
-                                          (CONS NIL
-                                           (CONS (|asyPredTran| |pred|)
-                                            NIL))))
-                                        ('T (CONS |sig| NIL))))
-                             (HPUT |ht| |id|
-                                   (CONS |entry| (HGET |ht| |id|))))))))
-             (SPADLET |opalist|
-                      (PROG (G166925)
-                        (SPADLET G166925 NIL)
-                        (RETURN
-                          (DO ((G166930 (HKEYS |ht|) (CDR G166930))
-                               (|op| NIL))
-                              ((OR (ATOM G166930)
-                                   (PROGN
-                                     (SETQ |op| (CAR G166930))
-                                     NIL))
-                               (NREVERSE0 G166925))
-                            (SEQ (EXIT (SETQ G166925
-                                        (CONS
-                                         (CONS |op|
-                                          (REMDUP (HGET |ht| |op|)))
-                                         G166925))))))))
-             (HPUT |$opHash| |con|
-                   (CONS |ancestorAlist| (CONS NIL |opalist|))))))))
-
-;hackToRemoveAnd p ==
-;---remove this as soon as .asy files do not contain forms (And pred) forms
-;  p is ['And,q,:r] =>
-;    r => ['AND,q,:r]
-;    q
-;  p
-
-(DEFUN |hackToRemoveAnd| (|p|)
-  (PROG (|ISTMP#1| |q| |r|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |p|) (EQ (QCAR |p|) '|And|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |p|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |q| (QCAR |ISTMP#1|))
-                       (SPADLET |r| (QCDR |ISTMP#1|))
-                       'T))))
-         (COND (|r| (CONS 'AND (CONS |q| |r|))) ('T |q|)))
-        ('T |p|)))))
-
-;asyAncestors x ==
-;  x is ['Apply,:r] => asyAncestorList r
-;  x is [op,y,:.] and MEMQ(op, '(PretendTo RestrictTo)) => asyAncestors y
-;  atom x =>
-;    x = '_% => '_$
-;    MEMQ(x, $niladics)       => [x]
-;    GETDATABASE(x ,'NILADIC) => [x]
-;    x
-;  asyAncestorList x
-
-(DEFUN |asyAncestors| (|x|)
-  (PROG (|r| |op| |ISTMP#1| |y|)
-  (declare (special |$niladics|))
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Apply|)
-              (PROGN (SPADLET |r| (QCDR |x|)) 'T))
-         (|asyAncestorList| |r|))
-        ((AND (PAIRP |x|)
-              (PROGN
-                (SPADLET |op| (QCAR |x|))
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T)))
-              (member |op| '(|PretendTo| |RestrictTo|)))
-         (|asyAncestors| |y|))
-        ((ATOM |x|)
-         (COND
-           ((BOOT-EQUAL |x| '%) '$)
-           ((member |x| |$niladics|) (CONS |x| NIL))
-           ((GETDATABASE |x| 'NILADIC) (CONS |x| NIL))
-           ('T |x|)))
-        ('T (|asyAncestorList| |x|))))))
-
-;asyAncestorList x == [asyAncestors y for y in x]
-
-(DEFUN |asyAncestorList| (|x|)
-  (PROG ()
-    (RETURN
-      (SEQ (PROG (G167007)
-             (SPADLET G167007 NIL)
-             (RETURN
-               (DO ((G167012 |x| (CDR G167012)) (|y| NIL))
-                   ((OR (ATOM G167012)
-                        (PROGN (SETQ |y| (CAR G167012)) NIL))
-                    (NREVERSE0 G167007))
-                 (SEQ (EXIT (SETQ G167007
-                                  (CONS (|asyAncestors| |y|) G167007)))))))))))
-
-;--============================================================================
-;--       Build Operation Alist from sig
-;--============================================================================
-;--format of operations as returned from koOps
-;--    
-;--    
-;--abb,kind,file,sourcefile,coSig,dbLineNumber,constructorArgs,libfile
-;--((sig  where(NIL or #)  condition(T or pred)  ELTorSubsumed) ...
-;--expanded lists are: sig, predicate, origin, exposeFlag, comments
-;--============================================================================
-;--       Building Hash Tables for Operations/Constructors
-;--============================================================================
-;asytran fn ==
-;--put operations into table format for browser:
-;--    
-;  inStream := OPEN fn
-;  sayBrightly ['"   Reading ",fn]
-;  u := READ inStream
-;  $niladics := mkNiladics u
-;  for x in $niladics repeat PUT(x,'NILADIC,true)
-;  for d in u repeat
-;    ['Declare,name,:.] := d
-;    name = "%%" => 'skip       --skip over top-level properties
-;    $docHashLocal: local := MAKE_-HASH_-TABLE()
-;    asytranDeclaration(d,'(top),nil,false)
-;    if null name then hohohoho()
-;    HPUT($docHash,name,$docHashLocal)
-;  CLOSE inStream
-;  'done
-
-(DEFUN |asytran| (|fn|)
-  (PROG (|$docHashLocal| |inStream| |u| |name|)
-    (DECLARE (SPECIAL |$docHashLocal| |$niladics| |$docHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |inStream| (OPEN |fn|))
-             (|sayBrightly|
-                 (CONS "   Reading " (CONS |fn| NIL)))
-             (SPADLET |u| (VMREAD |inStream|))
-             (SPADLET |$niladics| (|mkNiladics| |u|))
-             (DO ((G167029 |$niladics| (CDR G167029)) (|x| NIL))
-                 ((OR (ATOM G167029)
-                      (PROGN (SETQ |x| (CAR G167029)) NIL))
-                  NIL)
-               (SEQ (EXIT (PUT |x| 'NILADIC 'T))))
-             (DO ((G167040 |u| (CDR G167040)) (|d| NIL))
-                 ((OR (ATOM G167040)
-                      (PROGN (SETQ |d| (CAR G167040)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |name| (CADR |d|))
-                            (COND
-                              ((BOOT-EQUAL |name| '%%) '|skip|)
-                              ('T
-                               (SPADLET |$docHashLocal|
-                                        (MAKE-HASH-TABLE))
-                               (|asytranDeclaration| |d| '(|top|) NIL
-                                   NIL)
-                               (COND ((NULL |name|) (|hohohoho|)))
-                               (HPUT |$docHash| |name| |$docHashLocal|)))))))
-             (CLOSE |inStream|)
-             '|done|)))))
-
-;mkNiladics u ==
-;  [name for x in u | x is ['Declare,name,y,:.] and y isnt ['Apply,'_-_>,:.]]
-
-(DEFUN |mkNiladics| (|u|)
-  (PROG (|name| |ISTMP#2| |y| |ISTMP#1|)
-    (RETURN
-      (SEQ (PROG (G167079)
-             (SPADLET G167079 NIL)
-             (RETURN
-               (DO ((G167085 |u| (CDR G167085)) (|x| NIL))
-                   ((OR (ATOM G167085)
-                        (PROGN (SETQ |x| (CAR G167085)) NIL))
-                    (NREVERSE0 G167079))
-                 (SEQ (EXIT (COND
-                              ((AND (PAIRP |x|)
-                                    (EQ (QCAR |x|) '|Declare|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#1| (QCDR |x|))
-                                      (AND (PAIRP |ISTMP#1|)
-                                       (PROGN
-                                         (SPADLET |name|
-                                          (QCAR |ISTMP#1|))
-                                         (SPADLET |ISTMP#2|
-                                          (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
-                                          (PROGN
-                                            (SPADLET |y|
-                                             (QCAR |ISTMP#2|))
-                                            'T)))))
-                                    (NULL
-                                     (AND (PAIRP |y|)
-                                      (EQ (QCAR |y|) '|Apply|)
-                                      (PROGN
-                                        (SPADLET |ISTMP#1| (QCDR |y|))
-                                        (AND (PAIRP |ISTMP#1|)
-                                         (EQ (QCAR |ISTMP#1|) '->))))))
-                               (SETQ G167079 (CONS |name| G167079)))))))))))))
-
-;--OLD DEFINITION FOLLOWS
-;asytranDeclaration(dform,levels,predlist,local?) ==
-;  ['Declare,id,form,r] := dform
-;  id = 'failed => id
-;  KAR dform ^= 'Declare => systemError '"asytranDeclaration"
-;  if levels = '(top) then
-;    if form isnt ['Apply,"->",:.] then HPUT($constantHash,id,true)
-;  comments := LASSOC('documentation,r) or '""
-;  idForm   :=
-;    levels is ['top,:.] =>
-;      form is ['Apply,'_-_>,source,target] => [id,:asyArgs source]
-;      id
-;  ----------> Constants change <--------------
-;    id
-;  newsig  := asytranForm(form,[idForm,:levels],local?)
-;  key :=
-;    levels is ['top,:.] =>
-;      MEMQ(id,'(%% Category Type)) => 'constant
-;      asyLooksLikeCatForm? form => 'category
-;      form is ['Apply, '_-_>,.,u] =>
-;        if u is ['Apply, construc,:.] then u:= construc
-;        GETDATABASE(opOf u,'CONSTRUCTORKIND) = 'domain  => 'function
-;        asyLooksLikeCatForm? u => 'category
-;        'domain
-;      'domain
-;    first levels
-;  typeCode := LASSOC('symeTypeCode,r)
-;  record := [idForm,newsig,asyMkpred predlist,key,true,comments,typeCode,:$asyFile]
-;  if not local? then
-;    ht :=
-;      levels = '(top) => $conHash
-;      $docHashLocal
-;    HPUT(ht,id,[record,:HGET(ht,id)])
-;  if levels = '(top) then asyMakeOperationAlist(id,r, key)
-;  ['Declare,id,newsig,r]
-
-(DEFUN |asytranDeclaration| (|dform| |levels| |predlist| |local?|)
-  (PROG (|id| |form| |r| |comments| |source| |target| |idForm| |newsig|
-              |ISTMP#2| |ISTMP#3| |ISTMP#1| |construc| |u| |key|
-              |typeCode| |record| |ht|)
-  (declare (special |$docHashLocal| |$conHash| |$asyFile| |$constantHash|))
-    (RETURN
-      (PROGN
-        (SPADLET |id| (CADR |dform|))
-        (SPADLET |form| (CADDR |dform|))
-        (SPADLET |r| (CADDDR |dform|))
-        (COND
-          ((BOOT-EQUAL |id| '|failed|) |id|)
-          ((NEQUAL (KAR |dform|) '|Declare|)
-           (|systemError| "asytranDeclaration"))
-          ('T
-           (COND
-             ((BOOT-EQUAL |levels| '(|top|))
-              (COND
-                ((NULL (AND (PAIRP |form|) (EQ (QCAR |form|) '|Apply|)
-                            (PROGN
-                              (SPADLET |ISTMP#1| (QCDR |form|))
-                              (AND (PAIRP |ISTMP#1|)
-                                   (EQ (QCAR |ISTMP#1|) '->)))))
-                 (HPUT |$constantHash| |id| 'T))
-                ('T NIL))))
-           (SPADLET |comments|
-                    (OR (LASSOC '|documentation| |r|) ""))
-           (SPADLET |idForm|
-                    (COND
-                      ((AND (PAIRP |levels|)
-                            (EQ (QCAR |levels|) '|top|))
-                       (COND
-                         ((AND (PAIRP |form|)
-                               (EQ (QCAR |form|) '|Apply|)
-                               (PROGN
-                                 (SPADLET |ISTMP#1| (QCDR |form|))
-                                 (AND (PAIRP |ISTMP#1|)
-                                      (EQ (QCAR |ISTMP#1|) '->)
-                                      (PROGN
-                                        (SPADLET |ISTMP#2|
-                                         (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
-                                         (PROGN
-                                           (SPADLET |source|
-                                            (QCAR |ISTMP#2|))
-                                           (SPADLET |ISTMP#3|
-                                            (QCDR |ISTMP#2|))
-                                           (AND (PAIRP |ISTMP#3|)
-                                            (EQ (QCDR |ISTMP#3|) NIL)
-                                            (PROGN
-                                              (SPADLET |target|
-                                               (QCAR |ISTMP#3|))
-                                              'T))))))))
-                          (CONS |id| (|asyArgs| |source|)))
-                         ('T |id|)))
-                      ('T |id|)))
-           (SPADLET |newsig|
-                    (|asytranForm| |form| (CONS |idForm| |levels|)
-                        |local?|))
-           (SPADLET |key|
-                    (COND
-                      ((AND (PAIRP |levels|)
-                            (EQ (QCAR |levels|) '|top|))
-                       (COND
-                         ((member |id| '(%% |Category| |Type|))
-                          '|constant|)
-                         ((|asyLooksLikeCatForm?| |form|) '|category|)
-                         ((AND (PAIRP |form|)
-                               (EQ (QCAR |form|) '|Apply|)
-                               (PROGN
-                                 (SPADLET |ISTMP#1| (QCDR |form|))
-                                 (AND (PAIRP |ISTMP#1|)
-                                      (EQ (QCAR |ISTMP#1|) '->)
-                                      (PROGN
-                                        (SPADLET |ISTMP#2|
-                                         (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#3|
-                                            (QCDR |ISTMP#2|))
-                                           (AND (PAIRP |ISTMP#3|)
-                                            (EQ (QCDR |ISTMP#3|) NIL)
-                                            (PROGN
-                                              (SPADLET |u|
-                                               (QCAR |ISTMP#3|))
-                                              'T))))))))
-                          (COND
-                            ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Apply|)
-                                  (PROGN
-                                    (SPADLET |ISTMP#1| (QCDR |u|))
-                                    (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |construc|
-                                        (QCAR |ISTMP#1|))
-                                       'T))))
-                             (SPADLET |u| |construc|)))
-                          (COND
-                            ((BOOT-EQUAL
-                                 (GETDATABASE (|opOf| |u|)
-                                     'CONSTRUCTORKIND)
-                                 '|domain|)
-                             '|function|)
-                            ((|asyLooksLikeCatForm?| |u|) '|category|)
-                            ('T '|domain|)))
-                         ('T '|domain|)))
-                      ('T (CAR |levels|))))
-           (SPADLET |typeCode| (LASSOC '|symeTypeCode| |r|))
-           (SPADLET |record|
-                    (CONS |idForm|
-                          (CONS |newsig|
-                                (CONS (|asyMkpred| |predlist|)
-                                      (CONS |key|
-                                       (CONS 'T
-                                        (CONS |comments|
-                                         (CONS |typeCode| |$asyFile|))))))))
-           (COND
-             ((NULL |local?|)
-              (SPADLET |ht|
-                       (COND
-                         ((BOOT-EQUAL |levels| '(|top|)) |$conHash|)
-                         ('T |$docHashLocal|)))
-              (HPUT |ht| |id| (CONS |record| (HGET |ht| |id|)))))
-           (COND
-             ((BOOT-EQUAL |levels| '(|top|))
-              (|asyMakeOperationAlist| |id| |r| |key|)))
-           (CONS '|Declare| (CONS |id| (CONS |newsig| (CONS |r| NIL))))))))))
-
-;asyLooksLikeCatForm? x ==
-;--TTT don't see a Third in my version ....
-;  x is ['Define, ['Declare, ., ['Apply, 'Third,:.],:.],:.] or
-;   x is ['Define, ['Declare, ., 'Category ],:.]
-
-(DEFUN |asyLooksLikeCatForm?| (|x|)
-  (PROG (|ISTMP#5| |ISTMP#6| |ISTMP#1| |ISTMP#2| |ISTMP#3| |ISTMP#4|)
-    (RETURN
-      (OR (AND (PAIRP |x|) (EQ (QCAR |x|) '|Define|)
-               (PROGN
-                 (SPADLET |ISTMP#1| (QCDR |x|))
-                 (AND (PAIRP |ISTMP#1|)
-                      (PROGN
-                        (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                        (AND (PAIRP |ISTMP#2|)
-                             (EQ (QCAR |ISTMP#2|) '|Declare|)
-                             (PROGN
-                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                               (AND (PAIRP |ISTMP#3|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#4|
-                                       (QCDR |ISTMP#3|))
-                                      (AND (PAIRP |ISTMP#4|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#5|
-                                          (QCAR |ISTMP#4|))
-                                         (AND (PAIRP |ISTMP#5|)
-                                          (EQ (QCAR |ISTMP#5|)
-                                           '|Apply|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#6|
-                                             (QCDR |ISTMP#5|))
-                                            (AND (PAIRP |ISTMP#6|)
-                                             (EQ (QCAR |ISTMP#6|)
-                                              '|Third|))))))))))))))
-          (AND (PAIRP |x|) (EQ (QCAR |x|) '|Define|)
-               (PROGN
-                 (SPADLET |ISTMP#1| (QCDR |x|))
-                 (AND (PAIRP |ISTMP#1|)
-                      (PROGN
-                        (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                        (AND (PAIRP |ISTMP#2|)
-                             (EQ (QCAR |ISTMP#2|) '|Declare|)
-                             (PROGN
-                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                               (AND (PAIRP |ISTMP#3|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#4|
-                                       (QCDR |ISTMP#3|))
-                                      (AND (PAIRP |ISTMP#4|)
-                                       (EQ (QCDR |ISTMP#4|) NIL)
-                                       (EQ (QCAR |ISTMP#4|)
-                                        '|Category|))))))))))))))
-
-;--asytranDeclaration(dform,levels,predlist,local?) ==
-;--  ['Declare,id,form,r] := dform
-;--  id = 'failed => id
-;--  levels isnt ['top,:.] => asytranForm(form,[id,:levels],local?)
-;--  idForm   :=
-;--    form is ['Apply,'_-_>,source,target] => [id,:asyArgs source]
-;--    id
-;--  if form isnt ['Apply,"->",:.] then HPUT($constantHash,id,true)
-;--  comments := LASSOC('documentation,r) or '""
-;--  newsig  := asytranForm(form,[idForm,:levels],local?)
-;--  key :=
-;--    MEMQ(id,'(%% Category Type)) => 'constant
-;--    form is ['Apply,'Third,:.] => 'category
-;--    form is ['Apply,.,.,target] and target is ['Apply,name,:.]
-;--      and MEMQ(name,'(Third Join)) => 'category
-;--    'domain
-;--  record := [newsig,asyMkpred predlist,key,true,comments,:$asyFile]
-;--  if not local? then
-;--    ht :=
-;--      levels = '(top) => $conHash
-;--      $docHashLocal
-;--    HPUT(ht,id,[record,:HGET(ht,id)])
-;--  if levels = '(top) then asyMakeOperationAlist(id,r)
-;--  ['Declare,id,newsig,r]
-;asyIsCatForm form ==
-;  form is ['Apply,:r] =>
-;    r is ['_-_>,.,a] => asyIsCatForm a
-;    r is ['Third,'Type,:.] => true
-;    false
-;  false
-
-(DEFUN |asyIsCatForm| (|form|)
-  (PROG (|r| |ISTMP#2| |a| |ISTMP#1|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Apply|)
-              (PROGN (SPADLET |r| (QCDR |form|)) 'T))
-         (COND
-           ((AND (PAIRP |r|) (EQ (QCAR |r|) '->)
-                 (PROGN
-                   (SPADLET |ISTMP#1| (QCDR |r|))
-                   (AND (PAIRP |ISTMP#1|)
-                        (PROGN
-                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
-                               (EQ (QCDR |ISTMP#2|) NIL)
-                               (PROGN
-                                 (SPADLET |a| (QCAR |ISTMP#2|))
-                                 'T))))))
-            (|asyIsCatForm| |a|))
-           ((AND (PAIRP |r|) (EQ (QCAR |r|) '|Third|)
-                 (PROGN
-                   (SPADLET |ISTMP#1| (QCDR |r|))
-                   (AND (PAIRP |ISTMP#1|)
-                        (EQ (QCAR |ISTMP#1|) '|Type|))))
-            'T)
-           ('T NIL)))
-        ('T NIL)))))
-
-;asyArgs source ==
-;  args :=
-;    source is [op,:u] and asyComma? op => u
-;    [source]
-;  [asyArg x for x in args]
-
-(DEFUN |asyArgs| (|source|)
-  (PROG (|op| |u| |args|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |args|
-                      (COND
-                        ((AND (PAIRP |source|)
-                              (PROGN
-                                (SPADLET |op| (QCAR |source|))
-                                (SPADLET |u| (QCDR |source|))
-                                'T)
-                              (|asyComma?| |op|))
-                         |u|)
-                        ('T (CONS |source| NIL))))
-             (PROG (G167293)
-               (SPADLET G167293 NIL)
-               (RETURN
-                 (DO ((G167298 |args| (CDR G167298)) (|x| NIL))
-                     ((OR (ATOM G167298)
-                          (PROGN (SETQ |x| (CAR G167298)) NIL))
-                      (NREVERSE0 G167293))
-                   (SEQ (EXIT (SETQ G167293
-                                    (CONS (|asyArg| |x|) G167293))))))))))))
-
-;asyArg x ==
-;  x is ['Declare,id,:.] => id
-;  x
-
-(DEFUN |asyArg| (|x|)
-  (PROG (|ISTMP#1| |id|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Declare|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN (SPADLET |id| (QCAR |ISTMP#1|)) 'T))))
-         |id|)
-        ('T |x|)))))
-
-;asyMkpred predlist ==
-;  null predlist => nil
-;  predlist is [p] => p
-;  ['AND,:predlist]
-
-(DEFUN |asyMkpred| (|predlist|)
-  (PROG (|p|)
-    (RETURN
-      (COND
-        ((NULL |predlist|) NIL)
-        ((AND (PAIRP |predlist|) (EQ (QCDR |predlist|) NIL)
-              (PROGN (SPADLET |p| (QCAR |predlist|)) 'T))
-         |p|)
-        ('T (CONS 'AND |predlist|))))))
-
-;asytranForm(form,levels,local?) ==
-;  u := asytranForm1(form,levels,local?)
-;  null u => hahah()
-;  u
-
-(DEFUN |asytranForm| (|form| |levels| |local?|)
-  (PROG (|u|)
-    (RETURN
-      (PROGN
-        (SPADLET |u| (|asytranForm1| |form| |levels| |local?|))
-        (COND ((NULL |u|) (|hahah|)) ('T |u|))))))
-
-;asytranForm1(form,levels,local?) ==
-;  form is ['With,left,cat] =>
-;--  left ^= nil       => error '"WITH cannot take a left argument yet"
-;    asytranCategory(form,levels,nil,local?)
-;  form is ['Apply,:.]   => asytranApply(form,levels,local?)
-;  form is ['Declare,:.] => asytranDeclaration(form,levels,nil,local?)
-;  form is ['Comma,:r]  => ['Comma,:[asytranForm(x,levels,local?) for x in r]]
-;--form is ['_-_>,:s] => asytranMapping(s,levels,local?)
-;  form is [op,a,b] and MEMQ(a,'(PretendTo RestrictTo)) =>
-;    asytranForm1(a,levels,local?)
-;  form is ['LitInteger,s] =>
-;        READ_-FROM_-STRING(s)
-;  form is ['Define,:.]  =>
-;    form is ['Define,['Declare,.,x,:.],rest] =>
-;--TTT i don't know about this one but looks ok
-;      x = 'Category => asytranForm1(rest,levels, local?)
-;      asytranForm1(x,levels,local?)
-;    error '"DEFINE forms are not handled yet"
-;  if form = '_% then $hasPerCent := true
-;  IDENTP form =>
-;    form = "%" => "$"
-;    GET(form,'NILADIC) => [form]
-;    form
-;  [asytranForm(x,levels,local?) for x in form]
-
-(DEFUN |asytranForm1| (|form| |levels| |local?|)
-  (PROG (|left| |cat| |r| |op| |a| |b| |s| |ISTMP#1| |ISTMP#2|
-                |ISTMP#3| |ISTMP#4| |x| |ISTMP#5| CDR)
-  (declare (special |$hasPerCent|))
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|With|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |left| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |cat| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (|asytranCategory| |form| |levels| NIL |local?|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Apply|))
-              (|asytranApply| |form| |levels| |local?|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Declare|))
-              (|asytranDeclaration| |form| |levels| NIL |local?|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Comma|)
-                   (PROGN (SPADLET |r| (QCDR |form|)) 'T))
-              (CONS '|Comma|
-                    (PROG (G167419)
-                      (SPADLET G167419 NIL)
-                      (RETURN
-                        (DO ((G167424 |r| (CDR G167424)) (|x| NIL))
-                            ((OR (ATOM G167424)
-                                 (PROGN
-                                   (SETQ |x| (CAR G167424))
-                                   NIL))
-                             (NREVERSE0 G167419))
-                          (SEQ (EXIT (SETQ G167419
-                                      (CONS
-                                       (|asytranForm| |x| |levels|
-                                        |local?|)
-                                       G167419)))))))))
-             ((AND (PAIRP |form|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |form|))
-                     (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |a| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |b| (QCAR |ISTMP#2|))
-                                   'T)))))
-                   (member |a| '(|PretendTo| |RestrictTo|)))
-              (|asytranForm1| |a| |levels| |local?|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|LitInteger|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN (SPADLET |s| (QCAR |ISTMP#1|)) 'T))))
-              (READ-FROM-STRING |s|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Define|))
-              (COND
-                ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Define|)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |form|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCAR |ISTMP#2|) '|Declare|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#3|
-                                       (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#4|
-                                          (QCDR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
-                                          (PROGN
-                                            (SPADLET |x|
-                                             (QCAR |ISTMP#4|))
-                                            'T)))))))
-                             (PROGN
-                               (SPADLET |ISTMP#5| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#5|)
-                                    (EQ (QCDR |ISTMP#5|) NIL)
-                                    (PROGN
-                                      (SPADLET CDR (QCAR |ISTMP#5|))
-                                      'T))))))
-                 (COND
-                   ((BOOT-EQUAL |x| '|Category|)
-                    (|asytranForm1| CDR |levels| |local?|))
-                   ('T (|asytranForm1| |x| |levels| |local?|))))
-                ('T
-                 (|error|                               "DEFINE forms are not handled yet"))))
-             ('T
-              (COND
-                ((BOOT-EQUAL |form| '%) (SPADLET |$hasPerCent| 'T)))
-              (COND
-                ((IDENTP |form|)
-                 (COND
-                   ((BOOT-EQUAL |form| '%) '$)
-                   ((GETL |form| 'NILADIC) (CONS |form| NIL))
-                   ('T |form|)))
-                ('T
-                 (PROG (G167434)
-                   (SPADLET G167434 NIL)
-                   (RETURN
-                     (DO ((G167439 |form| (CDR G167439)) (|x| NIL))
-                         ((OR (ATOM G167439)
-                              (PROGN (SETQ |x| (CAR G167439)) NIL))
-                          (NREVERSE0 G167434))
-                       (SEQ (EXIT (SETQ G167434
-                                        (CONS
-                                         (|asytranForm| |x| |levels|
-                                          |local?|)
-                                         G167434)))))))))))))))
-
-;asytranApply(['Apply,name,:arglist],levels,local?) ==
-;  MEMQ(name,'(Record Union)) =>
-;    [name,:[asytranApplySpecial(x, levels, local?) for x in arglist]]
-;  null arglist => [name]
-;  name is [ 'RestrictTo, :.] =>
-;    asytranApply(['Apply, CAR CDR name,:arglist], levels, local?)
-;  name is [ 'Qualify, :.] =>
-;    asytranApply(['Apply, CAR CDR name,:arglist], levels, local?)
-;  name is 'string => asytranLiteral CAR arglist
-;  name is 'integer => asytranLiteral CAR arglist
-;  name is 'float => asytranLiteral CAR arglist
-;  name = 'Enumeration =>
-;    ["Enumeration",:[asytranEnumItem arg for arg in arglist]]
-;  [:argl,lastArg] := arglist
-;  [name,:[asytranFormSpecial(arg,levels,true) for arg in argl],
-;          asytranFormSpecial(lastArg,levels,false)]
-
-(DEFUN |asytranApply| (G167475 |levels| |local?|)
-  (PROG (|name| |arglist| |LETTMP#1| |lastArg| |argl|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |name| (CADR G167475))
-             (SPADLET |arglist| (CDDR G167475))
-             (COND
-               ((member |name| '(|Record| |Union|))
-                (CONS |name|
-                      (PROG (G167492)
-                        (SPADLET G167492 NIL)
-                        (RETURN
-                          (DO ((G167497 |arglist| (CDR G167497))
-                               (|x| NIL))
-                              ((OR (ATOM G167497)
-                                   (PROGN
-                                     (SETQ |x| (CAR G167497))
-                                     NIL))
-                               (NREVERSE0 G167492))
-                            (SEQ (EXIT (SETQ G167492
-                                        (CONS
-                                         (|asytranApplySpecial| |x|
-                                          |levels| |local?|)
-                                         G167492)))))))))
-               ((NULL |arglist|) (CONS |name| NIL))
-               ((AND (PAIRP |name|) (EQ (QCAR |name|) '|RestrictTo|))
-                (|asytranApply|
-                    (CONS '|Apply| (CONS (CAR (CDR |name|)) |arglist|))
-                    |levels| |local?|))
-               ((AND (PAIRP |name|) (EQ (QCAR |name|) '|Qualify|))
-                (|asytranApply|
-                    (CONS '|Apply| (CONS (CAR (CDR |name|)) |arglist|))
-                    |levels| |local?|))
-               ((EQ |name| '|string|)
-                (|asytranLiteral| (CAR |arglist|)))
-               ((EQ |name| '|integer|)
-                (|asytranLiteral| (CAR |arglist|)))
-               ((EQ |name| '|float|)
-                (|asytranLiteral| (CAR |arglist|)))
-               ((BOOT-EQUAL |name| '|Enumeration|)
-                (CONS '|Enumeration|
-                      (PROG (G167507)
-                        (SPADLET G167507 NIL)
-                        (RETURN
-                          (DO ((G167512 |arglist| (CDR G167512))
-                               (|arg| NIL))
-                              ((OR (ATOM G167512)
-                                   (PROGN
-                                     (SETQ |arg| (CAR G167512))
-                                     NIL))
-                               (NREVERSE0 G167507))
-                            (SEQ (EXIT (SETQ G167507
-                                        (CONS (|asytranEnumItem| |arg|)
-                                         G167507)))))))))
-               ('T (SPADLET |LETTMP#1| (REVERSE |arglist|))
-                (SPADLET |lastArg| (CAR |LETTMP#1|))
-                (SPADLET |argl| (NREVERSE (CDR |LETTMP#1|)))
-                (CONS |name|
-                      (APPEND (PROG (G167522)
-                                (SPADLET G167522 NIL)
-                                (RETURN
-                                  (DO ((G167527 |argl|
-                                        (CDR G167527))
-                                       (|arg| NIL))
-                                      ((OR (ATOM G167527)
-                                        (PROGN
-                                          (SETQ |arg| (CAR G167527))
-                                          NIL))
-                                       (NREVERSE0 G167522))
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ G167522
-                                       (CONS
-                                        (|asytranFormSpecial| |arg|
-                                         |levels| 'T)
-                                        G167522)))))))
-                              (CONS (|asytranFormSpecial| |lastArg|
-                                     |levels| NIL)
-                                    NIL))))))))))
-
-;asytranLiteral(lit) ==
-;  CAR CDR lit
-
-(DEFUN |asytranLiteral| (|lit|) (CAR (CDR |lit|)))
-
-;asytranEnumItem arg ==
-;  arg is ['Declare, name, :.] => name
-;  error '"Bad Enumeration entry"
-
-(DEFUN |asytranEnumItem| (|arg|)
-  (PROG (|ISTMP#1| |name|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |arg|) (EQ (QCAR |arg|) '|Declare|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |arg|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN (SPADLET |name| (QCAR |ISTMP#1|)) 'T))))
-         |name|)
-        ('T (|error| "Bad Enumeration entry"))))))
-
-;asytranApplySpecial(x, levels, local?) ==
-;  x is ['Declare, name, typ, :.] => [":",name,asytranForm(typ, levels, local?)]
-;  asytranForm(x, levels, local?)
-
-(DEFUN |asytranApplySpecial| (|x| |levels| |local?|)
-  (PROG (|ISTMP#1| |name| |ISTMP#2| |typ|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Declare|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |name| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |typ| (QCAR |ISTMP#2|))
-                              'T))))))
-         (CONS '|:|
-               (CONS |name|
-                     (CONS (|asytranForm| |typ| |levels| |local?|) NIL))))
-        ('T (|asytranForm| |x| |levels| |local?|))))))
-
-;asytranFormSpecial(x, levels, local?) ==  --> this throws away variable name (revise later)
-;  x is ['Declare, name, typ, :.] => asytranForm(typ, levels, local?)
-;  asytranForm(x, levels, local?)
-
-(DEFUN |asytranFormSpecial| (|x| |levels| |local?|)
-  (PROG (|ISTMP#1| |name| |ISTMP#2| |typ|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Declare|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |name| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |typ| (QCAR |ISTMP#2|))
-                              'T))))))
-         (|asytranForm| |typ| |levels| |local?|))
-        ('T (|asytranForm| |x| |levels| |local?|))))))
-
-;asytranCategory(form,levels,predlist,local?) ==
-;  cat :=
-;    form is ['With,left,right] =>
-;      right is ['Blank,:.] => ['Sequence]
-;      right
-;    form
-;  left :=
-;    form is ['With,left,right] =>
-;      left is ['Blank,:.] => nil
-;      left
-;    nil
-;  $hasPerCent: local := nil
-;  items :=
-;    cat is ['Sequence,:s] => s
-;    [cat]
-;  catTable := MAKE_-HASH_-TABLE()
-;  catList  := nil
-;  for x in items | x repeat
-;    if null x then systemError()
-;    dform := asytranCategoryItem(x,levels,predlist,local?)
-;    null dform => nil
-;    dform is ['Declare,id,record,r] =>
-;      HPUT(catTable,id,[asyWrap(record,predlist),:HGET(catTable,id)])
-;    catList := [asyWrap(dform,predlist),:catList]
-;  keys := listSort(function GLESSEQP,HKEYS catTable)
-;  right1 := NREVERSE catList
-;  right2 := [[key,:HGET(catTable,key)] for key in keys]
-;  right :=
-;    right2 => [:right1,['Exports,:right2]]
-;    right1
-;  res :=
-;    left => [left,:right]
-;    right
-;  res is [x] and x is ['IF,:.] => x
-;  ['With,:res]
-
-(DEFUN |asytranCategory| (|form| |levels| |predlist| |local?|)
-  (PROG (|$hasPerCent| |cat| |left| |s| |items| |catTable| |dform|
-            |ISTMP#1| |id| |ISTMP#2| |record| |ISTMP#3| |r| |catList|
-            |keys| |right1| |right2| |right| |res| |x|)
-    (DECLARE (SPECIAL |$hasPerCent|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |cat|
-                      (COND
-                        ((AND (PAIRP |form|) (EQ (QCAR |form|) '|With|)
-                              (PROGN
-                                (SPADLET |ISTMP#1| (QCDR |form|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |left|
-                                        (QCAR |ISTMP#1|))
-                                       (SPADLET |ISTMP#2|
-                                        (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (EQ (QCDR |ISTMP#2|) NIL)
-                                        (PROGN
-                                          (SPADLET |right|
-                                           (QCAR |ISTMP#2|))
-                                          'T))))))
-                         (COND
-                           ((AND (PAIRP |right|)
-                                 (EQ (QCAR |right|) '|Blank|))
-                            (CONS '|Sequence| NIL))
-                           ('T |right|)))
-                        ('T |form|)))
-             (SPADLET |left|
-                      (COND
-                        ((AND (PAIRP |form|) (EQ (QCAR |form|) '|With|)
-                              (PROGN
-                                (SPADLET |ISTMP#1| (QCDR |form|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |left|
-                                        (QCAR |ISTMP#1|))
-                                       (SPADLET |ISTMP#2|
-                                        (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (EQ (QCDR |ISTMP#2|) NIL)
-                                        (PROGN
-                                          (SPADLET |right|
-                                           (QCAR |ISTMP#2|))
-                                          'T))))))
-                         (COND
-                           ((AND (PAIRP |left|)
-                                 (EQ (QCAR |left|) '|Blank|))
-                            NIL)
-                           ('T |left|)))
-                        ('T NIL)))
-             (SPADLET |$hasPerCent| NIL)
-             (SPADLET |items|
-                      (COND
-                        ((AND (PAIRP |cat|)
-                              (EQ (QCAR |cat|) '|Sequence|)
-                              (PROGN (SPADLET |s| (QCDR |cat|)) 'T))
-                         |s|)
-                        ('T (CONS |cat| NIL))))
-             (SPADLET |catTable| (MAKE-HASH-TABLE))
-             (SPADLET |catList| NIL)
-             (DO ((G167697 |items| (CDR G167697)) (|x| NIL))
-                 ((OR (ATOM G167697)
-                      (PROGN (SETQ |x| (CAR G167697)) NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            (|x| (PROGN
-                                   (COND ((NULL |x|) (|systemError|)))
-                                   (SPADLET |dform|
-                                    (|asytranCategoryItem| |x| |levels|
-                                     |predlist| |local?|))
-                                   (COND
-                                     ((NULL |dform|) NIL)
-                                     ((AND (PAIRP |dform|)
-                                       (EQ (QCAR |dform|) '|Declare|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |dform|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |id|
-                                             (QCAR |ISTMP#1|))
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (PROGN
-                                               (SPADLET |record|
-                                                (QCAR |ISTMP#2|))
-                                               (SPADLET |ISTMP#3|
-                                                (QCDR |ISTMP#2|))
-                                               (AND (PAIRP |ISTMP#3|)
-                                                (EQ (QCDR |ISTMP#3|)
-                                                 NIL)
-                                                (PROGN
-                                                  (SPADLET |r|
-                                                   (QCAR |ISTMP#3|))
-                                                  'T))))))))
-                                      (HPUT |catTable| |id|
-                                       (CONS
-                                        (|asyWrap| |record| |predlist|)
-                                        (HGET |catTable| |id|))))
-                                     ('T
-                                      (SPADLET |catList|
-                                       (CONS
-                                        (|asyWrap| |dform| |predlist|)
-                                        |catList|))))))))))
-             (SPADLET |keys|
-                      (|listSort| (|function| GLESSEQP)
-                          (HKEYS |catTable|)))
-             (SPADLET |right1| (NREVERSE |catList|))
-             (SPADLET |right2|
-                      (PROG (G167707)
-                        (SPADLET G167707 NIL)
-                        (RETURN
-                          (DO ((G167712 |keys| (CDR G167712))
-                               (|key| NIL))
-                              ((OR (ATOM G167712)
-                                   (PROGN
-                                     (SETQ |key| (CAR G167712))
-                                     NIL))
-                               (NREVERSE0 G167707))
-                            (SEQ (EXIT (SETQ G167707
-                                        (CONS
-                                         (CONS |key|
-                                          (HGET |catTable| |key|))
-                                         G167707))))))))
-             (SPADLET |right|
-                      (COND
-                        (|right2|
-                            (APPEND |right1|
-                                    (CONS (CONS '|Exports| |right2|)
-                                     NIL)))
-                        ('T |right1|)))
-             (SPADLET |res|
-                      (COND
-                        (|left| (CONS |left| |right|))
-                        ('T |right|)))
-             (COND
-               ((AND (PAIRP |res|) (EQ (QCDR |res|) NIL)
-                     (PROGN (SPADLET |x| (QCAR |res|)) 'T) (PAIRP |x|)
-                     (EQ (QCAR |x|) 'IF))
-                |x|)
-               ('T (CONS '|With| |res|))))))))
-
-;asyWrap(record,predlist) ==
-;  predlist => ['IF,MKPF(predlist,'AND),record]
-;  record
-
-(DEFUN |asyWrap| (|record| |predlist|)
-  (COND
-    (|predlist|
-        (CONS 'IF (CONS (MKPF |predlist| 'AND) (CONS |record| NIL))))
-    ('T |record|)))
-
-;asytranCategoryItem(x,levels,predlist,local?) ==
-;  x is ['If,predicate,item,:r] =>
-;    IFCAR r => error '"ELSE expressions not allowed yet in conditionals"
-;    pred :=
-;      predicate is ['Test,r] => r
-;      predicate
-;    asytranCategory(item,levels,[pred,:predlist],local?)
-;  MEMQ(KAR x,'(Default Foreign)) => nil
-;  x is ['Declare,:.] => asytranDeclaration(x,levels,predlist,local?)
-;  x
-
-(DEFUN |asytranCategoryItem| (|x| |levels| |predlist| |local?|)
-  (PROG (|predicate| |ISTMP#2| |item| |ISTMP#1| |r| |pred|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|If|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |predicate| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |item| (QCAR |ISTMP#2|))
-                              (SPADLET |r| (QCDR |ISTMP#2|))
-                              'T))))))
-         (COND
-           ((IFCAR |r|)
-            (|error|                          "ELSE expressions not allowed yet in conditionals"))
-           ('T
-            (SPADLET |pred|
-                     (COND
-                       ((AND (PAIRP |predicate|)
-                             (EQ (QCAR |predicate|) '|Test|)
-                             (PROGN
-                               (SPADLET |ISTMP#1| (QCDR |predicate|))
-                               (AND (PAIRP |ISTMP#1|)
-                                    (EQ (QCDR |ISTMP#1|) NIL)
-                                    (PROGN
-                                      (SPADLET |r| (QCAR |ISTMP#1|))
-                                      'T))))
-                        |r|)
-                       ('T |predicate|)))
-            (|asytranCategory| |item| |levels| (CONS |pred| |predlist|)
-                |local?|))))
-        ((member (KAR |x|) '(|Default| |Foreign|)) NIL)
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Declare|))
-         (|asytranDeclaration| |x| |levels| |predlist| |local?|))
-        ('T |x|)))))
-
-;--============================================================================
-;--          Extending Constructor Datatable
-;--============================================================================
-;--FORMAT of $constructorDataTable entry:
-;--abb kind libFile sourceFile coSig constructorArgs
-;--alist is ((kind . domain) (libFile . MATRIX) (sourceFile . "matrix")
-;--         (coSig NIL T) (dbLineNumber . 29187) (constructorArgs R)
-;--  (modemap . (
-;--    (|Matrix| |#1|)
-;--      (Join (MatrixCategory #1 (Vector #1) (Vector #1))
-;--        (CATEGORY domain
-;--          (SIGNATURE diagonalMatrix ($ (Vector #1)))
-;--          (IF (has #1 (Field))
-;--            (SIGNATURE inverse ((Union $ "failed") $)) noBranch)))
-;--      (Ring))
-;--    (T Matrix))   )
-;extendConstructorDataTable() ==
-;--  tb := $constructorDataTable
-;  for x in listSort(function GLESSEQP,HKEYS $conHash) repeat
-;--     if LASSOC(x,tb) then tb := DELLASOS(x,tb)
-;     record := HGET($conHash,x)
-;     [form,sig,predlist,origin,exposure,comments,typeCode,:filename] := first record
-;     abb := asyAbbreviation(x,#(rest sig))
-;     kind := 'domain
-;     --Note: this "first" assumes that there is ONLY one sig per name
-;     cosig := [nil,:asyCosig sig]
-;     args  := asyConstructorArgs sig
-;     tb :=
-;       [[x,abb,
-;          ['kind,:kind],
-;            ['cosig,:cosig],
-;              ['libfile,filename],
-;                ['sourceFile,STRINGIMAGE filename],
-;                  ['constructorArgs,:args]],:tb]
-;  listSort(function GLESSEQP,ASSOCLEFT tb)
-
-(DEFUN |extendConstructorDataTable| ()
-  (PROG (|record| |LETTMP#1| |form| |sig| |predlist| |origin|
-            |exposure| |comments| |typeCode| |filename| |abb| |kind|
-            |cosig| |args| |tb|)
-  (declare (special |$conHash|))
-    (RETURN
-      (SEQ (PROGN
-             (DO ((G167836
-                      (|listSort| (|function| GLESSEQP)
-                          (HKEYS |$conHash|))
-                      (CDR G167836))
-                  (|x| NIL))
-                 ((OR (ATOM G167836)
-                      (PROGN (SETQ |x| (CAR G167836)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |record| (HGET |$conHash| |x|))
-                            (SPADLET |LETTMP#1| (CAR |record|))
-                            (SPADLET |form| (CAR |LETTMP#1|))
-                            (SPADLET |sig| (CADR |LETTMP#1|))
-                            (SPADLET |predlist| (CADDR |LETTMP#1|))
-                            (SPADLET |origin| (CADDDR |LETTMP#1|))
-                            (SPADLET |exposure|
-                                     (CAR (CDDDDR |LETTMP#1|)))
-                            (SPADLET |comments|
-                                     (CADR (CDDDDR |LETTMP#1|)))
-                            (SPADLET |typeCode|
-                                     (CADDR (CDDDDR |LETTMP#1|)))
-                            (SPADLET |filename|
-                                     (CDDDR (CDDDDR |LETTMP#1|)))
-                            (SPADLET |abb|
-                                     (|asyAbbreviation| |x|
-                                      (|#| (CDR |sig|))))
-                            (SPADLET |kind| '|domain|)
-                            (SPADLET |cosig|
-                                     (CONS NIL (|asyCosig| |sig|)))
-                            (SPADLET |args|
-                                     (|asyConstructorArgs| |sig|))
-                            (SPADLET |tb|
-                                     (CONS
-                                      (CONS |x|
-                                       (CONS |abb|
-                                        (CONS (CONS '|kind| |kind|)
-                                         (CONS (CONS '|cosig| |cosig|)
-                                          (CONS
-                                           (CONS '|libfile|
-                                            (CONS |filename| NIL))
-                                           (CONS
-                                            (CONS '|sourceFile|
-                                             (CONS
-                                              (STRINGIMAGE |filename|)
-                                              NIL))
-                                            (CONS
-                                             (CONS '|constructorArgs|
-                                              |args|)
-                                             NIL)))))))
-                                      |tb|))))))
-             (|listSort| (|function| GLESSEQP) (ASSOCLEFT |tb|)))))))
-
-;asyConstructorArgs sig ==
-;  sig is ['With,:.] => nil
-;  sig is ['_-_>,source,target] =>
-;    source is [op,:argl] and asyComma? op => [asyConstructorArg x for x in argl]
-;    [asyConstructorArg source]
-
-(DEFUN |asyConstructorArgs| (|sig|)
-  (PROG (|ISTMP#1| |source| |ISTMP#2| |target| |op| |argl|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '|With|)) NIL)
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '->)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |sig|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |source| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |target| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (COND
-                ((AND (PAIRP |source|)
-                      (PROGN
-                        (SPADLET |op| (QCAR |source|))
-                        (SPADLET |argl| (QCDR |source|))
-                        'T)
-                      (|asyComma?| |op|))
-                 (PROG (G167885)
-                   (SPADLET G167885 NIL)
-                   (RETURN
-                     (DO ((G167890 |argl| (CDR G167890)) (|x| NIL))
-                         ((OR (ATOM G167890)
-                              (PROGN (SETQ |x| (CAR G167890)) NIL))
-                          (NREVERSE0 G167885))
-                       (SEQ (EXIT (SETQ G167885
-                                        (CONS (|asyConstructorArg| |x|)
-                                         G167885))))))))
-                ('T (CONS (|asyConstructorArg| |source|) NIL)))))))))
-
-;asyConstructorArg x ==
-;  x is ['Declare,name,t,:.] => name
-;  x
-
-(DEFUN |asyConstructorArg| (|x|)
-  (PROG (|ISTMP#1| |name| |ISTMP#2| |t|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Declare|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |name| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN (SPADLET |t| (QCAR |ISTMP#2|)) 'T))))))
-         |name|)
-        ('T |x|)))))
-
-;asyCosig sig ==    --can be a type or could be a signature
-;  atom sig or sig is ['With,:.] => nil
-;  sig is ['_-_>,source,target] =>
-;    source is [op,:argl] and asyComma? op => [asyCosigType x for x in argl]
-;    [asyCosigType source]
-;  error false
-
-(DEFUN |asyCosig| (|sig|)
-  (PROG (|ISTMP#1| |source| |ISTMP#2| |target| |op| |argl|)
-    (RETURN
-      (SEQ (COND
-             ((OR (ATOM |sig|)
-                  (AND (PAIRP |sig|) (EQ (QCAR |sig|) '|With|)))
-              NIL)
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '->)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |sig|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |source| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |target| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (COND
-                ((AND (PAIRP |source|)
-                      (PROGN
-                        (SPADLET |op| (QCAR |source|))
-                        (SPADLET |argl| (QCDR |source|))
-                        'T)
-                      (|asyComma?| |op|))
-                 (PROG (G167955)
-                   (SPADLET G167955 NIL)
-                   (RETURN
-                     (DO ((G167960 |argl| (CDR G167960)) (|x| NIL))
-                         ((OR (ATOM G167960)
-                              (PROGN (SETQ |x| (CAR G167960)) NIL))
-                          (NREVERSE0 G167955))
-                       (SEQ (EXIT (SETQ G167955
-                                        (CONS (|asyCosigType| |x|)
-                                         G167955))))))))
-                ('T (CONS (|asyCosigType| |source|) NIL))))
-             ('T (|error| NIL)))))))
-
-;asyCosigType u ==
-;  u is [name,t] =>
-;    t is [fn,:.] =>
-;      asyComma? fn => fn
-;      fn = 'With  => 'T
-;      nil
-;    t = 'Type => 'T
-;    error '"Unknown atomic type"
-;  error false
-
-(DEFUN |asyCosigType| (|u|)
-  (PROG (|name| |ISTMP#1| |t| |fn|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|)
-              (PROGN
-                (SPADLET |name| (QCAR |u|))
-                (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN (SPADLET |t| (QCAR |ISTMP#1|)) 'T))))
-         (COND
-           ((AND (PAIRP |t|) (PROGN (SPADLET |fn| (QCAR |t|)) 'T))
-            (COND
-              ((|asyComma?| |fn|) |fn|)
-              ((BOOT-EQUAL |fn| '|With|) 'T)
-              ('T NIL)))
-           ((BOOT-EQUAL |t| '|Type|) 'T)
-           ('T (|error| "Unknown atomic type"))))
-        ('T (|error| NIL))))))
-
-;asyAbbreviation(id,n) ==  chk(id,main) where   --> n = number of arguments
-;  main ==
-;    a := createAbbreviation id => a
-;    name := PNAME id
-;--  #name < 8 => INTERN UPCASE name
-;    parts := asySplit(name,MAXINDEX name)
-;    newname := "STRCONC"/[asyShorten x for x in parts]
-;    #newname < 8 => INTERN newname
-;    tryname := SUBSTRING(name,0,7)
-;    not createAbbreviation tryname => INTERN UPCASE tryname
-;    nil
-;  chk(conname,abb) ==
-;    (xx := asyGetAbbrevFromComments conname) => xx
-;    con := abbreviation? abb =>
-;      conname = con => abb
-;      conname
-;    abb
-
-(DEFUN |asyAbbreviation,chk| (|conname| |abb|)
-  (PROG (|xx| |con|)
-    (RETURN
-      (SEQ (IF (SPADLET |xx| (|asyGetAbbrevFromComments| |conname|))
-               (EXIT |xx|))
-           (IF (SPADLET |con| (|abbreviation?| |abb|))
-               (EXIT (SEQ (IF (BOOT-EQUAL |conname| |con|)
-                              (EXIT |abb|))
-                          (EXIT |conname|))))
-           (EXIT |abb|)))))
-
-(DEFUN |asyAbbreviation| (|id| |n|)
-  (declare (ignore |n|))
-  (PROG (|a| |name| |parts| |newname| |tryname|)
-    (RETURN
-      (SEQ (|asyAbbreviation,chk| |id|
-               (COND
-                 ((SPADLET |a| (|createAbbreviation| |id|)) |a|)
-                 ('T (SPADLET |name| (PNAME |id|))
-                  (SPADLET |parts|
-                           (|asySplit| |name| (MAXINDEX |name|)))
-                  (SPADLET |newname|
-                           (PROG (G168004)
-                             (SPADLET G168004 "")
-                             (RETURN
-                               (DO ((G168009 |parts| (CDR G168009))
-                                    (|x| NIL))
-                                   ((OR (ATOM G168009)
-                                     (PROGN
-                                       (SETQ |x| (CAR G168009))
-                                       NIL))
-                                    G168004)
-                                 (SEQ (EXIT
-                                       (SETQ G168004
-                                        (STRCONC G168004
-                                         (|asyShorten| |x|)))))))))
-                  (COND
-                    ((QSLESSP (|#| |newname|) 8) (INTERN |newname|))
-                    ('T (SPADLET |tryname| (SUBSTRING |name| 0 7))
-                     (COND
-                       ((NULL (|createAbbreviation| |tryname|))
-                        (INTERN (UPCASE |tryname|)))
-                       ('T NIL)))))))))))
-
-;asyGetAbbrevFromComments con ==
-;  docHash := HGET($docHash,con)
-;  u := [[op,:[fn(x,op) for x in rec]] for op in HKEYS docHash
-;           | rec := HGET(docHash,op)] where fn(x,op) ==
-;    [form,sig,pred,origin,where?,comments,:.] := x
-;    ----------> Constants change <--------------
-;    if IDENTP sig then sig := [sig]
-;    [asySignature(sig,nil),trimComments comments]
-;  [form,sig,pred,origin,where?,comments] := first HGET($conHash,con)
-;  --above "first" assumes only one entry
-;  x := asyExtractAbbreviation comments
-;  x => intern x
-;  NIL
-
-(DEFUN |asyGetAbbrevFromComments,fn| (|x| |op|)
-  (declare (ignore |op|))
-  (PROG (|form| |pred| |origin| |where?| |comments| |sig|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form| (CAR |x|))
-             (SPADLET |sig| (CADR |x|))
-             (SPADLET |pred| (CADDR |x|))
-             (SPADLET |origin| (CADDDR |x|))
-             (SPADLET |where?| (CAR (CDDDDR |x|)))
-             (SPADLET |comments| (CADR (CDDDDR |x|)))
-             |x|)
-           (IF (IDENTP |sig|) (SPADLET |sig| (CONS |sig| NIL)) NIL)
-           (EXIT (CONS (|asySignature| |sig| NIL)
-                       (CONS (|trimComments| |comments|) NIL)))))))
-
-(DEFUN |asyGetAbbrevFromComments| (|con|)
-  (PROG (|docHash| |rec| |u| |LETTMP#1| |form| |sig| |pred| |origin|
-            |where?| |comments| |x|)
-  (declare (special |$conHash| |$docHash|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |docHash| (HGET |$docHash| |con|))
-             (SPADLET |u|
-                      (PROG (G168064)
-                        (SPADLET G168064 NIL)
-                        (RETURN
-                          (DO ((G168070 (HKEYS |docHash|)
-                                   (CDR G168070))
-                               (|op| NIL))
-                              ((OR (ATOM G168070)
-                                   (PROGN
-                                     (SETQ |op| (CAR G168070))
-                                     NIL))
-                               (NREVERSE0 G168064))
-                            (SEQ (EXIT (COND
-                                         ((SPADLET |rec|
-                                           (HGET |docHash| |op|))
-                                          (SETQ G168064
-                                           (CONS
-                                            (CONS |op|
-                                             (PROG (G168080)
-                                               (SPADLET G168080 NIL)
-                                               (RETURN
-                                                 (DO
-                                                  ((G168085 |rec|
-                                                    (CDR G168085))
-                                                   (|x| NIL))
-                                                  ((OR (ATOM G168085)
-                                                    (PROGN
-                                                      (SETQ |x|
-                                                       (CAR G168085))
-                                                      NIL))
-                                                   (NREVERSE0
-                                                    G168080))
-                                                   (SEQ
-                                                    (EXIT
-                                                     (SETQ G168080
-                                                      (CONS
-                                                       (|asyGetAbbrevFromComments,fn|
-                                                        |x| |op|)
-                                                       G168080))))))))
-                                            G168064))))))))))
-             (SPADLET |LETTMP#1| (CAR (HGET |$conHash| |con|)))
-             (SPADLET |form| (CAR |LETTMP#1|))
-             (SPADLET |sig| (CADR |LETTMP#1|))
-             (SPADLET |pred| (CADDR |LETTMP#1|))
-             (SPADLET |origin| (CADDDR |LETTMP#1|))
-             (SPADLET |where?| (CAR (CDDDDR |LETTMP#1|)))
-             (SPADLET |comments| (CADR (CDDDDR |LETTMP#1|)))
-             (SPADLET |x| (|asyExtractAbbreviation| |comments|))
-             (COND (|x| (|intern| |x|)) ('T NIL)))))))
-
-;asyExtractAbbreviation str ==
-;        not (k:= STRPOS('"Abbrev: ",str,0,nil)) => NIL
-;        str := SUBSTRING(str, k+8, nil)
-;        k := STRPOS($stringNewline, str,0,nil)
-;        k => SUBSTRING(str, 0, k)
-;        str
-
-(DEFUN |asyExtractAbbreviation| (|str|)
-  (PROG (|k|)
-  (declare (special |$stringNewline|))
-    (RETURN
-      (COND
-        ((NULL (SPADLET |k|
-                        (STRPOS "Abbrev: " |str| 0 NIL)))
-         NIL)
-        ('T (SPADLET |str| (SUBSTRING |str| (PLUS |k| 8) NIL))
-         (SPADLET |k| (STRPOS |$stringNewline| |str| 0 NIL))
-         (COND (|k| (SUBSTRING |str| 0 |k|)) ('T |str|)))))))
-
-;asyShorten x ==
-;  y := createAbbreviation x
-;    or LASSOC(x,
-;        '(("Small" . "SM") ("Single" ."S") ("Half" . "H")("Point" . "PT")
-;            ("Floating" . "F") ("System" . "SYS") ("Number" . "N")
-;             ("Inventor" . "IV")
-;              ("Finite" . "F") ("Double" . "D") ("Builtin" . "BI"))) => y
-;  UPCASE x
-
-(DEFUN |asyShorten| (|x|)
-  (PROG (|y|)
-    (RETURN
-      (COND
-        ((SPADLET |y|
-                  (OR (|createAbbreviation| |x|)
-                      (LASSOC |x|
-                              '(("Small" . "SM") ("Single" . "S")
-                                ("Half" . "H") ("Point" . "PT")
-                                ("Floating" . "F") ("System" . "SYS")
-                                ("Number" . "N") ("Inventor" . "IV")
-                                ("Finite" . "F") ("Double" . "D")
-                                ("Builtin" . "BI")))))
-         |y|)
-        ('T (UPCASE |x|))))))
-
-;asySplit(name,end) ==
-;  end < 1 => [name]
-;  k := 0
-;  for i in 1..end while LOWER_-CASE_-P name.i repeat k := i
-;  k := k + 1
-;  [SUBSTRING(name,0,k),:asySplit(SUBSTRING(name,k,nil),end-k)]
-
-(DEFUN |asySplit| (|name| |end|)
-  (PROG (|k|)
-    (RETURN
-      (SEQ (COND
-             ((> 1 |end|) (CONS |name| NIL))
-             ('T (SPADLET |k| 0)
-              (DO ((|i| 1 (QSADD1 |i|)))
-                  ((OR (QSGREATERP |i| |end|)
-                       (NULL (LOWER-CASE-P (ELT |name| |i|))))
-                   NIL)
-                (SEQ (EXIT (SPADLET |k| |i|))))
-              (SPADLET |k| (PLUS |k| 1))
-              (CONS (SUBSTRING |name| 0 |k|)
-                    (|asySplit| (SUBSTRING |name| |k| NIL)
-                        (SPADDIFFERENCE |end| |k|)))))))))
-
-;createAbbreviation s ==
-;  if STRINGP s then s := INTERN s
-;  a := constructor? s
-;  a ^= s => a
-;  nil
-
-(DEFUN |createAbbreviation| (|s|)
-  (PROG (|a|)
-    (RETURN
-      (PROGN
-        (COND ((STRINGP |s|) (SPADLET |s| (INTERN |s|))))
-        (SPADLET |a| (|constructor?| |s|))
-        (COND ((NEQUAL |a| |s|) |a|) ('T NIL))))))
-
-;--============================================================================
-;--       extending getConstructorModemap Property
-;--============================================================================
-;--Note: modemap property is built when getConstructorModemap is called
-;asyConstructorModemap con ==
-;  HGET($conHash,con) isnt [record,:.] => nil   --not there
-;  [form,sig,predlist,kind,exposure,comments,typeCode,:filename] := record
-;  $kind: local := kind
-;  --NOTE: sig has the form (-> source target) or simply (target)
-;  $constructorArgs: local := KDR form
-;  signature := asySignature(sig,false)
-;  formals := ['_$,:TAKE(#$constructorArgs,$FormalMapVariableList)]
-;  mm := [[[con,:$constructorArgs],:signature],['T,con]]
-;  SUBLISLIS(formals,['_%,:$constructorArgs],mm)
-
-(DEFUN |asyConstructorModemap| (|con|)
-  (PROG (|$kind| |$constructorArgs| |ISTMP#1| |record| |form| |sig|
-                 |predlist| |kind| |exposure| |comments| |typeCode|
-                 |filename| |signature| |formals| |mm|)
-    (DECLARE (SPECIAL |$kind| |$constructorArgs| |$FormalMapVariableList|
-                      |$conHash|))
-    (RETURN
-      (COND
-        ((NULL (PROGN
-                 (SPADLET |ISTMP#1| (HGET |$conHash| |con|))
-                 (AND (PAIRP |ISTMP#1|)
-                      (PROGN (SPADLET |record| (QCAR |ISTMP#1|)) 'T))))
-         NIL)
-        ('T (SPADLET |form| (CAR |record|))
-         (SPADLET |sig| (CADR |record|))
-         (SPADLET |predlist| (CADDR |record|))
-         (SPADLET |kind| (CADDDR |record|))
-         (SPADLET |exposure| (CAR (CDDDDR |record|)))
-         (SPADLET |comments| (CADR (CDDDDR |record|)))
-         (SPADLET |typeCode| (CADDR (CDDDDR |record|)))
-         (SPADLET |filename| (CDDDR (CDDDDR |record|)))
-         (SPADLET |$kind| |kind|)
-         (SPADLET |$constructorArgs| (KDR |form|))
-         (SPADLET |signature| (|asySignature| |sig| NIL))
-         (SPADLET |formals|
-                  (CONS '$
-                        (TAKE (|#| |$constructorArgs|)
-                              |$FormalMapVariableList|)))
-         (SPADLET |mm|
-                  (CONS (CONS (CONS |con| |$constructorArgs|)
-                              |signature|)
-                        (CONS (CONS 'T (CONS |con| NIL)) NIL)))
-         (SUBLISLIS |formals| (CONS '% |$constructorArgs|) |mm|))))))
-
-;asySignature(sig,names?) ==
-;  sig is ['Join,:.] => [asySig(sig,nil)]
-;  sig is ['With,:.] => [asySig(sig,nil)]
-;  sig is ['_-_>,source,target] =>
-;    target :=
-;      names? => ['dummy,target]
-;      target
-;    source is [op,:argl] and asyComma? op =>
-;      [asySigTarget(target,names?),:[asySig(x,names?) for x in argl]]
-;    [asySigTarget(target,names?),asySig(source,names?)]
-;  ----------> The following is a hack for constants which are category names<--
-;  sig is ['Third,:.] => [asySig(sig,nil)]
-;  ----------> Constants change <--------------
-;  asySig(sig,nil)
-
-(DEFUN |asySignature| (|sig| |names?|)
-  (PROG (|ISTMP#1| |source| |ISTMP#2| |target| |op| |argl|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '|Join|))
-              (CONS (|asySig| |sig| NIL) NIL))
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '|With|))
-              (CONS (|asySig| |sig| NIL) NIL))
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '->)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |sig|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |source| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |target| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (SPADLET |target|
-                       (COND
-                         (|names?| (CONS '|dummy| (CONS |target| NIL)))
-                         ('T |target|)))
-              (COND
-                ((AND (PAIRP |source|)
-                      (PROGN
-                        (SPADLET |op| (QCAR |source|))
-                        (SPADLET |argl| (QCDR |source|))
-                        'T)
-                      (|asyComma?| |op|))
-                 (CONS (|asySigTarget| |target| |names?|)
-                       (PROG (G168202)
-                         (SPADLET G168202 NIL)
-                         (RETURN
-                           (DO ((G168207 |argl| (CDR G168207))
-                                (|x| NIL))
-                               ((OR (ATOM G168207)
-                                    (PROGN
-                                      (SETQ |x| (CAR G168207))
-                                      NIL))
-                                (NREVERSE0 G168202))
-                             (SEQ (EXIT (SETQ G168202
-                                         (CONS (|asySig| |x| |names?|)
-                                          G168202)))))))))
-                ('T
-                 (CONS (|asySigTarget| |target| |names?|)
-                       (CONS (|asySig| |source| |names?|) NIL)))))
-             ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '|Third|))
-              (CONS (|asySig| |sig| NIL) NIL))
-             ('T (|asySig| |sig| NIL)))))))
-
-;asySigTarget(u,name?) == asySig1(u,name?,true)
-
-(DEFUN |asySigTarget| (|u| |name?|) (|asySig1| |u| |name?| 'T))
-
-;asySig(u,name?) == asySig1(u,name?,false)
-
-(DEFUN |asySig| (|u| |name?|) (|asySig1| |u| |name?| NIL)) 
-
-;asySig1(u,name?,target?) ==
-;  x :=
-;    name? and u is [name,t] => t
-;    u
-;  x is [fn,:r] =>
-;    fn = 'Join => asyTypeJoin r       ---------> jump out to newer code 4/94
-;    MEMQ(fn, '(RestrictTo PretendTo)) => asySig(first r,name?)
-;    asyComma? fn =>
-;      u := [asySig(x,name?) for x in r]
-;      target? =>
-;        null u => '(Void)
-;        -- this implies a multiple value return, not currently supported
-;        -- in the interpreter
-;        ['Multi,:u]
-;      u
-;    fn = 'With  => asyCATEGORY r
-;    fn = 'Third =>
-;      r is [b] =>
-;        b is ['With,:s]  => asyCATEGORY s
-;        b is ['Blank,:.] => asyCATEGORY nil
-;      error x
-;    fn = 'Apply and r is ['_-_>,:s] => asyMapping(s,name?)
-;    fn = '_-_> => asyMapping(r,name?)
-;    fn = 'Declare and r is [name,typ,:.] =>
-;        asySig1(typ, name?, target?)
-;    x is '(_%) => '(_$)
-;    [fn,:[asySig(x,name?) for x in r]]
-;--x = 'Type => '(Type)
-;  x = '_% => '_$
-;  x
-
-(DEFUN |asySig1| (|u| |name?| |target?|)
-  (PROG (|t| |x| |fn| |r| |b| |s| |name| |ISTMP#1| |typ|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |x|
-                      (COND
-                        ((AND |name?| (PAIRP |u|)
-                              (PROGN
-                                (SPADLET |name| (QCAR |u|))
-                                (SPADLET |ISTMP#1| (QCDR |u|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (EQ (QCDR |ISTMP#1|) NIL)
-                                     (PROGN
-                                       (SPADLET |t| (QCAR |ISTMP#1|))
-                                       'T))))
-                         |t|)
-                        ('T |u|)))
-             (COND
-               ((AND (PAIRP |x|)
-                     (PROGN
-                       (SPADLET |fn| (QCAR |x|))
-                       (SPADLET |r| (QCDR |x|))
-                       'T))
-                (COND
-                  ((BOOT-EQUAL |fn| '|Join|) (|asyTypeJoin| |r|))
-                  ((member |fn| '(|RestrictTo| |PretendTo|))
-                   (|asySig| (CAR |r|) |name?|))
-                  ((|asyComma?| |fn|)
-                   (SPADLET |u|
-                            (PROG (G168262)
-                              (SPADLET G168262 NIL)
-                              (RETURN
-                                (DO ((G168267 |r| (CDR G168267))
-                                     (|x| NIL))
-                                    ((OR (ATOM G168267)
-                                      (PROGN
-                                        (SETQ |x| (CAR G168267))
-                                        NIL))
-                                     (NREVERSE0 G168262))
-                                  (SEQ (EXIT
-                                        (SETQ G168262
-                                         (CONS (|asySig| |x| |name?|)
-                                          G168262))))))))
-                   (COND
-                     (|target?|
-                         (COND
-                           ((NULL |u|) '(|Void|))
-                           ('T (CONS '|Multi| |u|))))
-                     ('T |u|)))
-                  ((BOOT-EQUAL |fn| '|With|) (|asyCATEGORY| |r|))
-                  ((BOOT-EQUAL |fn| '|Third|)
-                   (COND
-                     ((AND (PAIRP |r|) (EQ (QCDR |r|) NIL)
-                           (PROGN (SPADLET |b| (QCAR |r|)) 'T))
-                      (COND
-                        ((AND (PAIRP |b|) (EQ (QCAR |b|) '|With|)
-                              (PROGN (SPADLET |s| (QCDR |b|)) 'T))
-                         (|asyCATEGORY| |s|))
-                        ((AND (PAIRP |b|) (EQ (QCAR |b|) '|Blank|))
-                         (|asyCATEGORY| NIL))))
-                     ('T (|error| |x|))))
-                  ((AND (BOOT-EQUAL |fn| '|Apply|) (PAIRP |r|)
-                        (EQ (QCAR |r|) '->)
-                        (PROGN (SPADLET |s| (QCDR |r|)) 'T))
-                   (|asyMapping| |s| |name?|))
-                  ((BOOT-EQUAL |fn| '->) (|asyMapping| |r| |name?|))
-                  ((AND (BOOT-EQUAL |fn| '|Declare|) (PAIRP |r|)
-                        (PROGN
-                          (SPADLET |name| (QCAR |r|))
-                          (SPADLET |ISTMP#1| (QCDR |r|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (PROGN
-                                 (SPADLET |typ| (QCAR |ISTMP#1|))
-                                 'T))))
-                   (|asySig1| |typ| |name?| |target?|))
-                  ((EQUAL |x| '(%)) '($))
-                  ('T
-                   (CONS |fn|
-                         (PROG (G168277)
-                           (SPADLET G168277 NIL)
-                           (RETURN
-                             (DO ((G168282 |r| (CDR G168282))
-                                  (|x| NIL))
-                                 ((OR (ATOM G168282)
-                                      (PROGN
-                                        (SETQ |x| (CAR G168282))
-                                        NIL))
-                                  (NREVERSE0 G168277))
-                               (SEQ (EXIT
-                                     (SETQ G168277
-                                      (CONS (|asySig| |x| |name?|)
-                                       G168277)))))))))))
-               ((BOOT-EQUAL |x| '%) '$)
-               ('T |x|)))))))
-
-;-- old version was :
-;--asyMapping([a,b],name?) ==
-;--  a := asySig(a,name?)
-;--  b := asySig(b,name?)
-;--  args :=
-;--    a is [op,:r] and asyComma? op => r
-;--    [a]
-;--  ['Mapping,b,:args]
-;asyMapping([a,b],name?) ==
-;  newa := asySig(a,name?)
-;  b    := asySig(b,name?)
-;  args :=
-;    a is [op,:r] and asyComma? op => newa
-;    [a]
-;  ['Mapping,b,:args]
-
-(DEFUN |asyMapping| (G168311 |name?|)
-  (PROG (|a| |newa| |b| |op| |r| |args|)
-    (RETURN
-      (PROGN
-        (SPADLET |a| (CAR G168311))
-        (SPADLET |b| (CADR G168311))
-        (SPADLET |newa| (|asySig| |a| |name?|))
-        (SPADLET |b| (|asySig| |b| |name?|))
-        (SPADLET |args|
-                 (COND
-                   ((AND (PAIRP |a|)
-                         (PROGN
-                           (SPADLET |op| (QCAR |a|))
-                           (SPADLET |r| (QCDR |a|))
-                           'T)
-                         (|asyComma?| |op|))
-                    |newa|)
-                   ('T (CONS |a| NIL))))
-        (CONS '|Mapping| (CONS |b| |args|))))))
-
-;--============================================================================
-;--       code for asySignatures of the form (Join,:...)
-;--============================================================================
-;asyType x ==
-;  x is [fn,:r] =>
-;    fn = 'Join => asyTypeJoin r
-;    MEMQ(fn, '(RestrictTo PretendTo)) => asyType first r
-;    asyComma? fn =>
-;      u := [asyType x for x in r]
-;      u
-;    fn = 'With  => asyCATEGORY r
-;    fn = '_-_> => asyTypeMapping r
-;    fn = 'Apply => r
-;--  fn = 'Declare and r is [name,typ,:.] => typ
-;    x is '(_%) => '(_$)
-;    x
-;--x = 'Type => '(Type)
-;  x = '_% => '_$
-;  x
-
-(DEFUN |asyType| (|x|)
-  (PROG (|fn| |r| |u|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|)
-                   (PROGN
-                     (SPADLET |fn| (QCAR |x|))
-                     (SPADLET |r| (QCDR |x|))
-                     'T))
-              (COND
-                ((BOOT-EQUAL |fn| '|Join|) (|asyTypeJoin| |r|))
-                ((member |fn| '(|RestrictTo| |PretendTo|))
-                 (|asyType| (CAR |r|)))
-                ((|asyComma?| |fn|)
-                 (SPADLET |u|
-                          (PROG (G168343)
-                            (SPADLET G168343 NIL)
-                            (RETURN
-                              (DO ((G168348 |r| (CDR G168348))
-                                   (|x| NIL))
-                                  ((OR (ATOM G168348)
-                                    (PROGN
-                                      (SETQ |x| (CAR G168348))
-                                      NIL))
-                                   (NREVERSE0 G168343))
-                                (SEQ (EXIT
-                                      (SETQ G168343
-                                       (CONS (|asyType| |x|) G168343))))))))
-                 |u|)
-                ((BOOT-EQUAL |fn| '|With|) (|asyCATEGORY| |r|))
-                ((BOOT-EQUAL |fn| '->) (|asyTypeMapping| |r|))
-                ((BOOT-EQUAL |fn| '|Apply|) |r|)
-                ((EQUAL |x| '(%)) '($))
-                ('T |x|)))
-             ((BOOT-EQUAL |x| '%) '$)
-             ('T |x|))))))
-
-;asyTypeJoin r ==
-;  $conStack : local := nil
-;  $opStack  : local := nil
-;  $predlist : local := nil
-;  for x in r repeat asyTypeJoinPart(x,$predlist)
-;  catpart :=
-;    $opStack => ['CATEGORY,$kind,:asyTypeJoinStack REVERSE $opStack]
-;    nil
-;  conpart := asyTypeJoinStack REVERSE $conStack
-;  conpart =>
-;    catpart     => ['Join,:conpart,catpart]
-;    CDR conpart => ['Join,:conpart]
-;    conpart
-;  catpart
-
-(DEFUN |asyTypeJoin| (|r|)
-  (PROG (|$conStack| |$opStack| |$predlist| |catpart| |conpart|)
-    (DECLARE (SPECIAL |$conStack| |$opStack| |$predlist| |$kind|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$conStack| NIL)
-             (SPADLET |$opStack| NIL)
-             (SPADLET |$predlist| NIL)
-             (DO ((G168367 |r| (CDR G168367)) (|x| NIL))
-                 ((OR (ATOM G168367)
-                      (PROGN (SETQ |x| (CAR G168367)) NIL))
-                  NIL)
-               (SEQ (EXIT (|asyTypeJoinPart| |x| |$predlist|))))
-             (SPADLET |catpart|
-                      (COND
-                        (|$opStack|
-                            (CONS 'CATEGORY
-                                  (CONS |$kind|
-                                        (|asyTypeJoinStack|
-                                         (REVERSE |$opStack|)))))
-                        ('T NIL)))
-             (SPADLET |conpart|
-                      (|asyTypeJoinStack| (REVERSE |$conStack|)))
-             (COND
-               (|conpart|
-                   (COND
-                     (|catpart|
-                         (CONS '|Join|
-                               (APPEND |conpart| (CONS |catpart| NIL))))
-                     ((CDR |conpart|) (CONS '|Join| |conpart|))
-                     ('T |conpart|)))
-               ('T |catpart|)))))))
-
-;asyTypeJoinPart(x,$predlist) ==
-;  x is ['Join,:y] => for z in y repeat asyTypeJoinPart(z, $predlist)
-;  x is ['With,:y] => for p in y repeat asyTypeJoinPartWith p
-;  asyTypeJoinPartWith x
-
-(DEFUN |asyTypeJoinPart| (|x| |$predlist|)
-  (DECLARE (SPECIAL |$predlist|))
-  (PROG (|y|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|)
-                   (PROGN (SPADLET |y| (QCDR |x|)) 'T))
-              (DO ((G168391 |y| (CDR G168391)) (|z| NIL))
-                  ((OR (ATOM G168391)
-                       (PROGN (SETQ |z| (CAR G168391)) NIL))
-                   NIL)
-                (SEQ (EXIT (|asyTypeJoinPart| |z| |$predlist|)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|With|)
-                   (PROGN (SPADLET |y| (QCDR |x|)) 'T))
-              (DO ((G168400 |y| (CDR G168400)) (|p| NIL))
-                  ((OR (ATOM G168400)
-                       (PROGN (SETQ |p| (CAR G168400)) NIL))
-                   NIL)
-                (SEQ (EXIT (|asyTypeJoinPartWith| |p|)))))
-             ('T (|asyTypeJoinPartWith| |x|)))))))
-
-;asyTypeJoinPartWith x ==
-;  x is ['Exports,:y] => for p in y repeat asyTypeJoinPartExport p
-;  x is ['Exports,:.] => systemError 'exports
-;  x is ['Comma]  => nil
-;  x is ['Export,:y]  => nil
-;  x is ['IF,:r] => asyTypeJoinPartIf r
-;  x is ['Sequence,:x] => for y in x repeat asyTypeJoinItem y
-;  asyTypeJoinItem x
-
-(DEFUN |asyTypeJoinPartWith| (|x|)
-  (PROG (|y| |r|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Exports|)
-                   (PROGN (SPADLET |y| (QCDR |x|)) 'T))
-              (DO ((G168416 |y| (CDR G168416)) (|p| NIL))
-                  ((OR (ATOM G168416)
-                       (PROGN (SETQ |p| (CAR G168416)) NIL))
-                   NIL)
-                (SEQ (EXIT (|asyTypeJoinPartExport| |p|)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Exports|))
-              (|systemError| '|exports|))
-             ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
-                   (EQ (QCAR |x|) '|Comma|))
-              NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Export|)
-                   (PROGN (SPADLET |y| (QCDR |x|)) 'T))
-              NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
-                   (PROGN (SPADLET |r| (QCDR |x|)) 'T))
-              (|asyTypeJoinPartIf| |r|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Sequence|)
-                   (PROGN (SPADLET |x| (QCDR |x|)) 'T))
-              (DO ((G168425 |x| (CDR G168425)) (|y| NIL))
-                  ((OR (ATOM G168425)
-                       (PROGN (SETQ |y| (CAR G168425)) NIL))
-                   NIL)
-                (SEQ (EXIT (|asyTypeJoinItem| |y|)))))
-             ('T (|asyTypeJoinItem| |x|)))))))
-
-;asyTypeJoinPartIf [pred,value] ==
-;  predlist := [asyTypeJoinPartPred pred,:$predlist]
-;  asyTypeJoinPart(value,predlist)
-
-(DEFUN |asyTypeJoinPartIf| (G168439)
-  (PROG (|pred| |value| |predlist|)
-  (declare (special |$predlist|))
-    (RETURN
-      (PROGN
-        (SPADLET |pred| (CAR G168439))
-        (SPADLET |value| (CADR G168439))
-        (SPADLET |predlist|
-                 (CONS (|asyTypeJoinPartPred| |pred|) |$predlist|))
-        (|asyTypeJoinPart| |value| |predlist|)))))
-
-;asyTypeJoinPartPred x ==
-;  x is ['Test, y] => asyTypeUnit y
-;  asyTypeUnit x
-
-(DEFUN |asyTypeJoinPartPred| (|x|)
-  (PROG (|ISTMP#1| |y|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Test|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
-         (|asyTypeUnit| |y|))
-        ('T (|asyTypeUnit| |x|))))))
-
-;asyTypeJoinItem x ==
-;  result := asyTypeUnit x
-;  isLowerCaseLetter (PNAME opOf result).0 =>
-;    $opStack := [[['ATTRIBUTE,result],:$predlist],:$opStack]
-;  $conStack := [[result,:$predlist],:$conStack]
-
-(DEFUN |asyTypeJoinItem| (|x|)
-  (PROG (|result|)
-  (declare (special |$predlist| |$conStack| |$opStack|))
-    (RETURN
-      (PROGN
-        (SPADLET |result| (|asyTypeUnit| |x|))
-        (COND
-          ((|isLowerCaseLetter| (ELT (PNAME (|opOf| |result|)) 0))
-           (SPADLET |$opStack|
-                    (CONS (CONS (CONS 'ATTRIBUTE (CONS |result| NIL))
-                                |$predlist|)
-                          |$opStack|)))
-          ('T
-           (SPADLET |$conStack|
-                    (CONS (CONS |result| |$predlist|) |$conStack|))))))))
-
-;asyTypeMapping([a,b]) ==
-;  a := asyTypeUnit a
-;  b := asyTypeUnit b
-;  args :=
-;    a is [op,:r] and asyComma? op => r
-;    [a]
-;  ['Mapping,b,:args]
-
-(DEFUN |asyTypeMapping| (G168476)
-  (PROG (|a| |b| |op| |r| |args|)
-    (RETURN
-      (PROGN
-        (SPADLET |a| (CAR G168476))
-        (SPADLET |b| (CADR G168476))
-        (SPADLET |a| (|asyTypeUnit| |a|))
-        (SPADLET |b| (|asyTypeUnit| |b|))
-        (SPADLET |args|
-                 (COND
-                   ((AND (PAIRP |a|)
-                         (PROGN
-                           (SPADLET |op| (QCAR |a|))
-                           (SPADLET |r| (QCDR |a|))
-                           'T)
-                         (|asyComma?| |op|))
-                    |r|)
-                   ('T (CONS |a| NIL))))
-        (CONS '|Mapping| (CONS |b| |args|))))))
-
-;asyTypeUnit x ==
-;  x is [fn,:r] =>
-;    fn = 'Join => systemError 'Join ----->asyTypeJoin r
-;    MEMQ(fn, '(RestrictTo PretendTo)) => asyTypeUnit first r
-;    asyComma? fn =>
-;      u := [asyTypeUnit x for x in r]
-;      u
-;    fn = 'With  => asyCATEGORY r
-;    fn = '_-_> => asyTypeMapping r
-;    fn = 'Apply => asyTypeUnitList r
-;    fn = 'Declare and r is [name,typ,:.] => asyTypeUnitDeclare(name,typ)
-;    x is '(_%) => '(_$)
-;    [fn,:asyTypeUnitList r]
-;  GET(x,'NILADIC) => [x]
-;--x = 'Type => '(Type)
-;  x = '_% => '_$
-;  x
-
-(DEFUN |asyTypeUnit| (|x|)
-  (PROG (|fn| |r| |u| |name| |ISTMP#1| |typ|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|)
-                   (PROGN
-                     (SPADLET |fn| (QCAR |x|))
-                     (SPADLET |r| (QCDR |x|))
-                     'T))
-              (COND
-                ((BOOT-EQUAL |fn| '|Join|) (|systemError| '|Join|))
-                ((member |fn| '(|RestrictTo| |PretendTo|))
-                 (|asyTypeUnit| (CAR |r|)))
-                ((|asyComma?| |fn|)
-                 (SPADLET |u|
-                          (PROG (G168517)
-                            (SPADLET G168517 NIL)
-                            (RETURN
-                              (DO ((G168522 |r| (CDR G168522))
-                                   (|x| NIL))
-                                  ((OR (ATOM G168522)
-                                    (PROGN
-                                      (SETQ |x| (CAR G168522))
-                                      NIL))
-                                   (NREVERSE0 G168517))
-                                (SEQ (EXIT
-                                      (SETQ G168517
-                                       (CONS (|asyTypeUnit| |x|)
-                                        G168517))))))))
-                 |u|)
-                ((BOOT-EQUAL |fn| '|With|) (|asyCATEGORY| |r|))
-                ((BOOT-EQUAL |fn| '->) (|asyTypeMapping| |r|))
-                ((BOOT-EQUAL |fn| '|Apply|) (|asyTypeUnitList| |r|))
-                ((AND (BOOT-EQUAL |fn| '|Declare|) (PAIRP |r|)
-                      (PROGN
-                        (SPADLET |name| (QCAR |r|))
-                        (SPADLET |ISTMP#1| (QCDR |r|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |typ| (QCAR |ISTMP#1|))
-                               'T))))
-                 (|asyTypeUnitDeclare| |name| |typ|))
-                ((EQUAL |x| '(%)) '($))
-                ('T (CONS |fn| (|asyTypeUnitList| |r|)))))
-             ((GETL |x| 'NILADIC) (CONS |x| NIL))
-             ((BOOT-EQUAL |x| '%) '$)
-             ('T |x|))))))
-
-;asyTypeUnitList x == [asyTypeUnit y for y in x]
-
-(DEFUN |asyTypeUnitList| (|x|)
-  (PROG ()
-    (RETURN
-      (SEQ (PROG (G168542)
-             (SPADLET G168542 NIL)
-             (RETURN
-               (DO ((G168547 |x| (CDR G168547)) (|y| NIL))
-                   ((OR (ATOM G168547)
-                        (PROGN (SETQ |y| (CAR G168547)) NIL))
-                    (NREVERSE0 G168542))
-                 (SEQ (EXIT (SETQ G168542
-                                  (CONS (|asyTypeUnit| |y|) G168542)))))))))))
-
-;asyTypeUnitDeclare(op,typ) ==
-;  typ is ['Apply, :r] => asyCatSignature(op,r)
-;  asyTypeUnit typ
-
-(DEFUN |asyTypeUnitDeclare| (|op| |typ|)
-  (PROG (|r|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |typ|) (EQ (QCAR |typ|) '|Apply|)
-              (PROGN (SPADLET |r| (QCDR |typ|)) 'T))
-         (|asyCatSignature| |op| |r|))
-        ('T (|asyTypeUnit| |typ|))))))
-
-;--============================================================================
-;--               Translator for ['With,:.]
-;--============================================================================
-;asyCATEGORY x ==
-;  if x is [join,:y] and join is ['Apply,:s] then
-;    exports := y
-;    joins :=
-;      s is ['Join,:r] => [asyJoinPart u for u in r]
-;      [asyJoinPart s]
-;  else if x is [id,:y] and IDENTP id then
-;    joins := [[id]]
-;    exports := y
-;  else
-;    joins   := nil
-;    exports := x
-;  cats       := exports
-;  operations := nil
-;  if exports is [:r,['Exports,:ops]] then
-;    cats := r
-;    operations := ops
-;  exportPart :=
-;    ['CATEGORY,'domain,:"APPEND"/[asyCatItem y for y in operations]]
-;  [attribs, na] := asyFindAttrs joins
-;  joins := na
-;  cats := "append"/[asyCattran c for c in cats]
-;  [a, na] := asyFindAttrs cats
-;  cats := na
-;  attribs := APPEND(attribs, a)
-;  attribs := [['ATTRIBUTE, x] for x in attribs]
-;  exportPart := [:exportPart,:attribs]
-;  joins or cats or attribs =>
-;    ['Join,:joins,:cats, exportPart]
-;  exportPart
-
-(DEFUN |asyCATEGORY| (|x|)
-  (PROG (|join| |s| |id| |y| |exports| |ISTMP#1| |ISTMP#2| |ops| |r|
-                |operations| |joins| |LETTMP#1| |a| |na| |cats|
-                |attribs| |exportPart|)
-    (RETURN
-      (SEQ (PROGN
-             (COND
-               ((AND (PAIRP |x|)
-                     (PROGN
-                       (SPADLET |join| (QCAR |x|))
-                       (SPADLET |y| (QCDR |x|))
-                       'T)
-                     (PAIRP |join|) (EQ (QCAR |join|) '|Apply|)
-                     (PROGN (SPADLET |s| (QCDR |join|)) 'T))
-                (SPADLET |exports| |y|)
-                (SPADLET |joins|
-                         (COND
-                           ((AND (PAIRP |s|) (EQ (QCAR |s|) '|Join|)
-                                 (PROGN (SPADLET |r| (QCDR |s|)) 'T))
-                            (PROG (G168596)
-                              (SPADLET G168596 NIL)
-                              (RETURN
-                                (DO ((G168601 |r| (CDR G168601))
-                                     (|u| NIL))
-                                    ((OR (ATOM G168601)
-                                      (PROGN
-                                        (SETQ |u| (CAR G168601))
-                                        NIL))
-                                     (NREVERSE0 G168596))
-                                  (SEQ (EXIT
-                                        (SETQ G168596
-                                         (CONS (|asyJoinPart| |u|)
-                                          G168596))))))))
-                           ('T (CONS (|asyJoinPart| |s|) NIL)))))
-               ((AND (PAIRP |x|)
-                     (PROGN
-                       (SPADLET |id| (QCAR |x|))
-                       (SPADLET |y| (QCDR |x|))
-                       'T)
-                     (IDENTP |id|))
-                (SPADLET |joins| (CONS (CONS |id| NIL) NIL))
-                (SPADLET |exports| |y|))
-               ('T (SPADLET |joins| NIL) (SPADLET |exports| |x|)))
-             (SPADLET |cats| |exports|)
-             (SPADLET |operations| NIL)
-             (COND
-               ((AND (PAIRP |exports|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (REVERSE |exports|))
-                       'T)
-                     (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (EQ (QCAR |ISTMP#2|) '|Exports|)
-                            (PROGN
-                              (SPADLET |ops| (QCDR |ISTMP#2|))
-                              'T)))
-                     (PROGN (SPADLET |r| (QCDR |ISTMP#1|)) 'T)
-                     (PROGN (SPADLET |r| (NREVERSE |r|)) 'T))
-                (SPADLET |cats| |r|) (SPADLET |operations| |ops|)))
-             (SPADLET |exportPart|
-                      (CONS 'CATEGORY
-                            (CONS '|domain|
-                                  (PROG (G168607)
-                                    (SPADLET G168607 NIL)
-                                    (RETURN
-                                      (DO
-                                       ((G168612 |operations|
-                                         (CDR G168612))
-                                        (|y| NIL))
-                                       ((OR (ATOM G168612)
-                                         (PROGN
-                                           (SETQ |y| (CAR G168612))
-                                           NIL))
-                                        G168607)
-                                        (SEQ
-                                         (EXIT
-                                          (SETQ G168607
-                                           (APPEND G168607
-                                            (|asyCatItem| |y|)))))))))))
-             (SPADLET |LETTMP#1| (|asyFindAttrs| |joins|))
-             (SPADLET |attribs| (CAR |LETTMP#1|))
-             (SPADLET |na| (CADR |LETTMP#1|))
-             (SPADLET |joins| |na|)
-             (SPADLET |cats|
-                      (PROG (G168618)
-                        (SPADLET G168618 NIL)
-                        (RETURN
-                          (DO ((G168623 |cats| (CDR G168623))
-                               (|c| NIL))
-                              ((OR (ATOM G168623)
-                                   (PROGN
-                                     (SETQ |c| (CAR G168623))
-                                     NIL))
-                               G168618)
-                            (SEQ (EXIT (SETQ G168618
-                                        (APPEND G168618
-                                         (|asyCattran| |c|)))))))))
-             (SPADLET |LETTMP#1| (|asyFindAttrs| |cats|))
-             (SPADLET |a| (CAR |LETTMP#1|))
-             (SPADLET |na| (CADR |LETTMP#1|))
-             (SPADLET |cats| |na|)
-             (SPADLET |attribs| (APPEND |attribs| |a|))
-             (SPADLET |attribs|
-                      (PROG (G168633)
-                        (SPADLET G168633 NIL)
-                        (RETURN
-                          (DO ((G168638 |attribs| (CDR G168638))
-                               (|x| NIL))
-                              ((OR (ATOM G168638)
-                                   (PROGN
-                                     (SETQ |x| (CAR G168638))
-                                     NIL))
-                               (NREVERSE0 G168633))
-                            (SEQ (EXIT (SETQ G168633
-                                        (CONS
-                                         (CONS 'ATTRIBUTE
-                                          (CONS |x| NIL))
-                                         G168633))))))))
-             (SPADLET |exportPart| (APPEND |exportPart| |attribs|))
-             (COND
-               ((OR |joins| |cats| |attribs|)
-                (CONS '|Join|
-                      (APPEND |joins|
-                              (APPEND |cats| (CONS |exportPart| NIL)))))
-               ('T |exportPart|)))))))
-
-;asyFindAttrs l ==
-;  attrs := []
-;  notattrs := []
-;  for x in l repeat
-;    x0 := x
-;    while CONSP x repeat x := CAR x
-;    if MEMQ(x, _*ATTRIBUTES_*) then attrs := [:attrs, x]
-;    else notattrs := [:notattrs, x0]
-;  [attrs, notattrs]
-
-(DEFUN |asyFindAttrs| (|l|)
-  (PROG (|x0| |attrs| |notattrs|)
-  (declare (special *ATTRIBUTES*))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |attrs| NIL)
-             (SPADLET |notattrs| NIL)
-             (DO ((G168693 |l| (CDR G168693)) (|x| NIL))
-                 ((OR (ATOM G168693)
-                      (PROGN (SETQ |x| (CAR G168693)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x0| |x|)
-                            (DO () ((NULL (CONSP |x|)) NIL)
-                              (SEQ (EXIT (SPADLET |x| (CAR |x|)))))
-                            (COND
-                              ((member |x| *ATTRIBUTES*)
-                               (SPADLET |attrs|
-                                        (APPEND |attrs| (CONS |x| NIL))))
-                              ('T
-                               (SPADLET |notattrs|
-                                        (APPEND |notattrs|
-                                         (CONS |x0| NIL)))))))))
-             (CONS |attrs| (CONS |notattrs| NIL)))))))
-
-;simpCattran x ==
-;  u := asyCattran x
-;  u is [y] => y
-;  ['Join,:u]
-
-(DEFUN |simpCattran| (|x|)
-  (PROG (|u| |y|)
-    (RETURN
-      (PROGN
-        (SPADLET |u| (|asyCattran| |x|))
-        (COND
-          ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
-                (PROGN (SPADLET |y| (QCAR |u|)) 'T))
-           |y|)
-          ('T (CONS '|Join| |u|)))))))
-
-;asyCattran x ==
-;  x is ['With,:r] => "append"/[asyCattran1 x for x in r]
-;  x is ['IF,:.]   => "append"/[asyCattranConstructors(x,nil)]
-;  [x]
-
-(DEFUN |asyCattran| (|x|)
-  (PROG (|r|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|With|)
-                   (PROGN (SPADLET |r| (QCDR |x|)) 'T))
-              (PROG (G168722)
-                (SPADLET G168722 NIL)
-                (RETURN
-                  (DO ((G168727 |r| (CDR G168727)) (|x| NIL))
-                      ((OR (ATOM G168727)
-                           (PROGN (SETQ |x| (CAR G168727)) NIL))
-                       G168722)
-                    (SEQ (EXIT (SETQ G168722
-                                     (APPEND G168722
-                                      (|asyCattran1| |x|)))))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF))
-              (PROG (G168733)
-                (SPADLET G168733 NIL)
-                (RETURN
-                  (DO ((G168738
-                           (CONS (|asyCattranConstructors| |x| NIL)
-                                 NIL)
-                           (CDR G168738))
-                       (G168720 NIL))
-                      ((OR (ATOM G168738)
-                           (PROGN
-                             (SETQ G168720 (CAR G168738))
-                             NIL))
-                       G168733)
-                    (SEQ (EXIT (SETQ G168733
-                                     (APPEND G168733 G168720))))))))
-             ('T (CONS |x| NIL)))))))
-
-;asyCattran1 x ==
-;  x is ['Exports,:y] => "append"/[asyCattranOp u for u in y]
-;  x is ['IF,:.]      => "append"/[asyCattranConstructors(x,nil)]
-;  systemError nil
-
-(DEFUN |asyCattran1| (|x|)
-  (PROG (|y|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Exports|)
-                   (PROGN (SPADLET |y| (QCDR |x|)) 'T))
-              (PROG (G168752)
-                (SPADLET G168752 NIL)
-                (RETURN
-                  (DO ((G168757 |y| (CDR G168757)) (|u| NIL))
-                      ((OR (ATOM G168757)
-                           (PROGN (SETQ |u| (CAR G168757)) NIL))
-                       G168752)
-                    (SEQ (EXIT (SETQ G168752
-                                     (APPEND G168752
-                                      (|asyCattranOp| |u|)))))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF))
-              (PROG (G168763)
-                (SPADLET G168763 NIL)
-                (RETURN
-                  (DO ((G168768
-                           (CONS (|asyCattranConstructors| |x| NIL)
-                                 NIL)
-                           (CDR G168768))
-                       (G168750 NIL))
-                      ((OR (ATOM G168768)
-                           (PROGN
-                             (SETQ G168750 (CAR G168768))
-                             NIL))
-                       G168763)
-                    (SEQ (EXIT (SETQ G168763
-                                     (APPEND G168763 G168750))))))))
-             ('T (|systemError| NIL)))))))
-
-;asyCattranOp [op,:items] ==
-;  "append"/[asyCattranOp1(op,item,nil) for item in items]
-
-(DEFUN |asyCattranOp| (G168780)
-  (PROG (|op| |items|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR G168780))
-             (SPADLET |items| (CDR G168780))
-             (PROG (G168789)
-               (SPADLET G168789 NIL)
-               (RETURN
-                 (DO ((G168794 |items| (CDR G168794)) (|item| NIL))
-                     ((OR (ATOM G168794)
-                          (PROGN (SETQ |item| (CAR G168794)) NIL))
-                      G168789)
-                   (SEQ (EXIT (SETQ G168789
-                                    (APPEND G168789
-                                  (|asyCattranOp1| |op| |item| NIL)))))))))))))
-
-;asyCattranOp1(op, item, predlist) ==
-;  item is ['IF, p, x] =>
-;    pred := asyPredTran
-;      p is ['Test,t] => t
-;      p
-;--    x is ['IF,:.] => "append"/[asyCattranOp1('IF, x, [pred,:predlist])]
-;--  This line used to call asyCattranOp1 with too few arguments.  Following
-;--  fix suggested by RDJ.
-;    x is ['IF,:.] => "append"/[asyCattranOp1(op,y,[pred,:predlist]) for y in x]
-;    [['IF, asySimpPred(pred,predlist), asyCattranSig(op,x), 'noBranch]]
-;  [asyCattranSig(op,item)]
-
-(DEFUN |asyCattranOp1| (|op| |item| |predlist|)
-  (PROG (|p| |ISTMP#2| |x| |ISTMP#1| |t| |pred|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |item|) (EQ (QCAR |item|) 'IF)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |item|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |p| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |x| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (SPADLET |pred|
-                       (|asyPredTran|
-                           (COND
-                             ((AND (PAIRP |p|) (EQ (QCAR |p|) '|Test|)
-                                   (PROGN
-                                     (SPADLET |ISTMP#1| (QCDR |p|))
-                                     (AND (PAIRP |ISTMP#1|)
-                                      (EQ (QCDR |ISTMP#1|) NIL)
-                                      (PROGN
-                                        (SPADLET |t| (QCAR |ISTMP#1|))
-                                        'T))))
-                              |t|)
-                             ('T |p|))))
-              (COND
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF))
-                 (PROG (G168829)
-                   (SPADLET G168829 NIL)
-                   (RETURN
-                     (DO ((G168834 |x| (CDR G168834)) (|y| NIL))
-                         ((OR (ATOM G168834)
-                              (PROGN (SETQ |y| (CAR G168834)) NIL))
-                          G168829)
-                       (SEQ (EXIT (SETQ G168829
-                                        (APPEND G168829
-                                         (|asyCattranOp1| |op| |y|
-                                          (CONS |pred| |predlist|))))))))))
-                ('T
-                 (CONS (CONS 'IF
-                             (CONS (|asySimpPred| |pred| |predlist|)
-                                   (CONS (|asyCattranSig| |op| |x|)
-                                    (CONS '|noBranch| NIL))))
-                       NIL))))
-             ('T (CONS (|asyCattranSig| |op| |item|) NIL)))))))
-
-;asyPredTran p == asyPredTran1 asyJoinPart p
-
-(DEFUN |asyPredTran| (|p|) (|asyPredTran1| (|asyJoinPart| |p|)))
-
-;asyPredTran1 p ==
-;  p is ['Has,x,y] => ['has,x, simpCattran y]
-;  p is ['Test, q] => asyPredTran1 q
-;  p is [op,:r] and MEMQ(op,'(AND OR NOT)) =>
-;    [op,:[asyPredTran1 q for q in r]]
-;  p
-
-(DEFUN |asyPredTran1| (|p|)
-  (PROG (|x| |ISTMP#2| |y| |ISTMP#1| |q| |op| |r|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |p|) (EQ (QCAR |p|) '|Has|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |p|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |x| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |y| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (CONS '|has| (CONS |x| (CONS (|simpCattran| |y|) NIL))))
-             ((AND (PAIRP |p|) (EQ (QCAR |p|) '|Test|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |p|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN (SPADLET |q| (QCAR |ISTMP#1|)) 'T))))
-              (|asyPredTran1| |q|))
-             ((AND (PAIRP |p|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |p|))
-                     (SPADLET |r| (QCDR |p|))
-                     'T)
-                   (member |op| '(AND OR NOT)))
-              (CONS |op|
-                    (PROG (G168882)
-                      (SPADLET G168882 NIL)
-                      (RETURN
-                        (DO ((G168887 |r| (CDR G168887)) (|q| NIL))
-                            ((OR (ATOM G168887)
-                                 (PROGN
-                                   (SETQ |q| (CAR G168887))
-                                   NIL))
-                             (NREVERSE0 G168882))
-                          (SEQ (EXIT (SETQ G168882
-                                      (CONS (|asyPredTran1| |q|)
-                                       G168882)))))))))
-             ('T |p|))))))
-
-;asyCattranConstructors(item, predlist) ==
-;  item is ['IF, p, x] =>
-;    pred := asyPredTran
-;      p is ['Test,t] => t
-;      p
-;    x is ['IF,:.] => "append"/[asyCattranConstructors(x, [pred,:predlist])]
-;    form := ['ATTRIBUTE, asyJoinPart x]
-;    [['IF, asySimpPred(pred,predlist), form, 'noBranch]]
-;  systemError()
-
-(DEFUN |asyCattranConstructors| (|item| |predlist|)
-  (PROG (|p| |ISTMP#2| |x| |ISTMP#1| |t| |pred| |form|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |item|) (EQ (QCAR |item|) 'IF)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |item|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |p| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |x| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (SPADLET |pred|
-                       (|asyPredTran|
-                           (COND
-                             ((AND (PAIRP |p|) (EQ (QCAR |p|) '|Test|)
-                                   (PROGN
-                                     (SPADLET |ISTMP#1| (QCDR |p|))
-                                     (AND (PAIRP |ISTMP#1|)
-                                      (EQ (QCDR |ISTMP#1|) NIL)
-                                      (PROGN
-                                        (SPADLET |t| (QCAR |ISTMP#1|))
-                                        'T))))
-                              |t|)
-                             ('T |p|))))
-              (COND
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF))
-                 (PROG (G168929)
-                   (SPADLET G168929 NIL)
-                   (RETURN
-                     (DO ((G168934
-                              (CONS (|asyCattranConstructors| |x|
-                                     (CONS |pred| |predlist|))
-                                    NIL)
-                              (CDR G168934))
-                          (G168905 NIL))
-                         ((OR (ATOM G168934)
-                              (PROGN
-                                (SETQ G168905 (CAR G168934))
-                                NIL))
-                          G168929)
-                       (SEQ (EXIT (SETQ G168929
-                                        (APPEND G168929 G168905))))))))
-                ('T
-                 (SPADLET |form|
-                          (CONS 'ATTRIBUTE
-                                (CONS (|asyJoinPart| |x|) NIL)))
-                 (CONS (CONS 'IF
-                             (CONS (|asySimpPred| |pred| |predlist|)
-                                   (CONS |form| (CONS '|noBranch| NIL))))
-                       NIL))))
-             ('T (|systemError|)))))))
-
-;asySimpPred(p, predlist) ==
-;  while predlist is [q,:predlist] repeat p := quickAnd(q,p)
-;  p
-
-(DEFUN |asySimpPred| (|p| |predlist|)
-  (PROG (|q|)
-    (RETURN
-      (SEQ (PROGN
-             (DO ()
-                 ((NULL (AND (PAIRP |predlist|)
-                             (PROGN
-                               (SPADLET |q| (QCAR |predlist|))
-                               (SPADLET |predlist| (QCDR |predlist|))
-                               'T)))
-                  NIL)
-               (SEQ (EXIT (SPADLET |p| (|quickAnd| |q| |p|)))))
-             |p|)))))
-
-;asyCattranSig(op,y) ==
-;  y isnt ["->",source,t] =>
-;--     ['SIGNATURE, op, asyTypeUnit y]
-;-- following makes constants into nullary functions
-;     ['SIGNATURE, op, [asyTypeUnit y]]
-;  s :=
-;    source is ['Comma,:s] => [asyTypeUnit z for z in s]
-;    [asyTypeUnit source]
-;  t := asyTypeUnit t
-;  null t => ['SIGNATURE,op,s]
-;  ['SIGNATURE,op,[t,:s]]
-
-(DEFUN |asyCattranSig| (|op| |y|)
-  (PROG (|ISTMP#1| |source| |ISTMP#2| |s| |t|)
-    (RETURN
-      (SEQ (COND
-             ((NULL (AND (PAIRP |y|) (EQ (QCAR |y|) '->)
-                         (PROGN
-                           (SPADLET |ISTMP#1| (QCDR |y|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |source| (QCAR |ISTMP#1|))
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCDR |ISTMP#2|) NIL)
-                                       (PROGN
-                                         (SPADLET |t| (QCAR |ISTMP#2|))
-                                         'T)))))))
-              (CONS 'SIGNATURE
-                    (CONS |op|
-                          (CONS (CONS (|asyTypeUnit| |y|) NIL) NIL))))
-             ('T
-              (SPADLET |s|
-                       (COND
-                         ((AND (PAIRP |source|)
-                               (EQ (QCAR |source|) '|Comma|)
-                               (PROGN
-                                 (SPADLET |s| (QCDR |source|))
-                                 'T))
-                          (PROG (G168990)
-                            (SPADLET G168990 NIL)
-                            (RETURN
-                              (DO ((G168995 |s| (CDR G168995))
-                                   (|z| NIL))
-                                  ((OR (ATOM G168995)
-                                    (PROGN
-                                      (SETQ |z| (CAR G168995))
-                                      NIL))
-                                   (NREVERSE0 G168990))
-                                (SEQ (EXIT
-                                      (SETQ G168990
-                                       (CONS (|asyTypeUnit| |z|)
-                                        G168990))))))))
-                         ('T (CONS (|asyTypeUnit| |source|) NIL))))
-              (SPADLET |t| (|asyTypeUnit| |t|))
-              (COND
-                ((NULL |t|)
-                 (CONS 'SIGNATURE (CONS |op| (CONS |s| NIL))))
-                ('T
-                 (CONS 'SIGNATURE
-                       (CONS |op| (CONS (CONS |t| |s|) NIL)))))))))))
-
-;asyJoinPart x ==
-;  IDENTP x => [x]
-;  asytranForm(x,nil,true)
-
-(DEFUN |asyJoinPart| (|x|)
-  (COND ((IDENTP |x|) (CONS |x| NIL)) ('T (|asytranForm| |x| NIL 'T))))
-
-;asyCatItem item ==
-;  atom item  => [item]
-;  item is ['IF,.,.] => [item]
-;  [op,:sigs] := item
-;  [asyCatSignature(op,sig) for sig in sigs | sig]
-
-(DEFUN |asyCatItem| (|item|)
-  (PROG (|ISTMP#1| |ISTMP#2| |op| |sigs|)
-    (RETURN
-      (SEQ (COND
-             ((ATOM |item|) (CONS |item| NIL))
-             ((AND (PAIRP |item|) (EQ (QCAR |item|) 'IF)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |item|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL))))))
-              (CONS |item| NIL))
-             ('T (SPADLET |op| (CAR |item|))
-              (SPADLET |sigs| (CDR |item|))
-              (PROG (G169031)
-                (SPADLET G169031 NIL)
-                (RETURN
-                  (DO ((G169037 |sigs| (CDR G169037)) (|sig| NIL))
-                      ((OR (ATOM G169037)
-                           (PROGN (SETQ |sig| (CAR G169037)) NIL))
-                       (NREVERSE0 G169031))
-                    (SEQ (EXIT (COND
-                                 (|sig| (SETQ G169031
-                                         (CONS
-                                          (|asyCatSignature| |op|
-                                           |sig|)
-                                          G169031)))))))))))))))
-
-;asyCatSignature(op,sig) ==
-;  sig is ['_-_>,source,target] =>
-;     ['SIGNATURE,op, [asyTypeItem target,:asyUnTuple source]]
-;  ----------> Constants change <--------------
-;--  ['TYPE,op,asyTypeItem sig]
-;-- following line converts constants into nullary functions
-;  ['SIGNATURE,op,[asyTypeItem sig]]
-
-(DEFUN |asyCatSignature| (|op| |sig|)
-  (PROG (|ISTMP#1| |source| |ISTMP#2| |target|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '->)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |sig|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |source| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN
-                              (SPADLET |target| (QCAR |ISTMP#2|))
-                              'T))))))
-         (CONS 'SIGNATURE
-               (CONS |op|
-                     (CONS (CONS (|asyTypeItem| |target|)
-                                 (|asyUnTuple| |source|))
-                           NIL))))
-        ('T
-         (CONS 'SIGNATURE
-               (CONS |op| (CONS (CONS (|asyTypeItem| |sig|) NIL) NIL))))))))
-
-;asyUnTuple x ==
-;  x is [op,:u] and asyComma? op => [asyTypeItem y for y in u]
-;  [asyTypeItem x]
-
-(DEFUN |asyUnTuple| (|x|)
-  (PROG (|op| |u|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |x|))
-                     (SPADLET |u| (QCDR |x|))
-                     'T)
-                   (|asyComma?| |op|))
-              (PROG (G169083)
-                (SPADLET G169083 NIL)
-                (RETURN
-                  (DO ((G169088 |u| (CDR G169088)) (|y| NIL))
-                      ((OR (ATOM G169088)
-                           (PROGN (SETQ |y| (CAR G169088)) NIL))
-                       (NREVERSE0 G169083))
-                    (SEQ (EXIT (SETQ G169083
-                                     (CONS (|asyTypeItem| |y|)
-                                      G169083))))))))
-             ('T (CONS (|asyTypeItem| |x|) NIL)))))))
-
-;asyTypeItem x ==
-;  atom x =>
-;    x = '_%         => '_$
-;    x
-;  x is ['_-_>,a,b] =>
-;      ['Mapping,b,:asyUnTuple a]
-;  x is ['Apply,:r] =>
-;    r is ['_-_>,a,b] =>
-;      ['Mapping,b,:asyUnTuple a]
-;    r is ['Record,:parts] =>
-;      ['Record,:[[":",a,b] for ['Declare,a,b,:.] in parts]]
-;    r is ['Segment,:parts] =>
-;      ['Segment,:[asyTypeItem x for x in parts]]
-;    asytranApply(x,nil,true)
-;  x is ['Declare,.,t,:.] => asyTypeItem t
-;  x is ['Comma,:args] =>
-;    -- this implies a multiple value return, not currently supported
-;    -- in the interpreter
-;    args => ['Multi,:[asyTypeItem y for y in args]]
-;    ['Void]
-;  [asyTypeItem y for y in x]
-
-(DEFUN |asyTypeItem| (|x|)
-  (PROG (|r| |a| |b| |parts| |ISTMP#1| |ISTMP#2| |t| |args|)
-    (RETURN
-      (SEQ (COND
-             ((ATOM |x|) (COND ((BOOT-EQUAL |x| '%) '$) ('T |x|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '->)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |a| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |b| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (CONS '|Mapping| (CONS |b| (|asyUnTuple| |a|))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Apply|)
-                   (PROGN (SPADLET |r| (QCDR |x|)) 'T))
-              (COND
-                ((AND (PAIRP |r|) (EQ (QCAR |r|) '->)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |r|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |a| (QCAR |ISTMP#1|))
-                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCDR |ISTMP#2|) NIL)
-                                    (PROGN
-                                      (SPADLET |b| (QCAR |ISTMP#2|))
-                                      'T))))))
-                 (CONS '|Mapping| (CONS |b| (|asyUnTuple| |a|))))
-                ((AND (PAIRP |r|) (EQ (QCAR |r|) '|Record|)
-                      (PROGN (SPADLET |parts| (QCDR |r|)) 'T))
-                 (CONS '|Record|
-                       (PROG (G169155)
-                         (SPADLET G169155 NIL)
-                         (RETURN
-                           (DO ((G169161 |parts| (CDR G169161))
-                                (G169133 NIL))
-                               ((OR (ATOM G169161)
-                                    (PROGN
-                                      (SETQ G169133 (CAR G169161))
-                                      NIL)
-                                    (PROGN
-                                      (PROGN
-                                        (SPADLET |a| (CADR G169133))
-                                        (SPADLET |b| (CADDR G169133))
-                                        G169133)
-                                      NIL))
-                                (NREVERSE0 G169155))
-                             (SEQ (EXIT (SETQ G169155
-                                         (CONS
-                                          (CONS '|:|
-                                           (CONS |a| (CONS |b| NIL)))
-                                          G169155)))))))))
-                ((AND (PAIRP |r|) (EQ (QCAR |r|) '|Segment|)
-                      (PROGN (SPADLET |parts| (QCDR |r|)) 'T))
-                 (CONS '|Segment|
-                       (PROG (G169172)
-                         (SPADLET G169172 NIL)
-                         (RETURN
-                           (DO ((G169177 |parts| (CDR G169177))
-                                (|x| NIL))
-                               ((OR (ATOM G169177)
-                                    (PROGN
-                                      (SETQ |x| (CAR G169177))
-                                      NIL))
-                                (NREVERSE0 G169172))
-                             (SEQ (EXIT (SETQ G169172
-                                         (CONS (|asyTypeItem| |x|)
-                                          G169172)))))))))
-                ('T (|asytranApply| |x| NIL 'T))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Declare|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (PROGN
-                                   (SPADLET |t| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (|asyTypeItem| |t|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Comma|)
-                   (PROGN (SPADLET |args| (QCDR |x|)) 'T))
-              (COND
-                (|args| (CONS '|Multi|
-                              (PROG (G169187)
-                                (SPADLET G169187 NIL)
-                                (RETURN
-                                  (DO ((G169192 |args|
-                                        (CDR G169192))
-                                       (|y| NIL))
-                                      ((OR (ATOM G169192)
-                                        (PROGN
-                                          (SETQ |y| (CAR G169192))
-                                          NIL))
-                                       (NREVERSE0 G169187))
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ G169187
-                                       (CONS (|asyTypeItem| |y|)
-                                        G169187)))))))))
-                ('T (CONS '|Void| NIL))))
-             ('T
-              (PROG (G169202)
-                (SPADLET G169202 NIL)
-                (RETURN
-                  (DO ((G169207 |x| (CDR G169207)) (|y| NIL))
-                      ((OR (ATOM G169207)
-                           (PROGN (SETQ |y| (CAR G169207)) NIL))
-                       (NREVERSE0 G169202))
-                    (SEQ (EXIT (SETQ G169202
-                                     (CONS (|asyTypeItem| |y|)
-                                      G169202)))))))))))))
-
-;--============================================================================
-;--               Utilities
-;--============================================================================
-;asyComma? op == MEMQ(op,'(Comma Multi))
-
-(DEFUN |asyComma?| (|op|) (member |op| '(|Comma| |Multi|)))
-
-;hput(table,name,value) ==
-;  if null name then systemError()
-;  HPUT(table,name,value)
-
-(DEFUN |hput| (|table| |name| |value|)
-  (PROGN
-    (COND ((NULL |name|) (|systemError|)))
-    (HPUT |table| |name| |value|)))
-
-;--============================================================================
-;--               category parts
-;--============================================================================
-;-- this constructs operation information from a category.
-;-- NB: This is categoryParts, but with the kind supplied by
-;-- an arguments
-;asCategoryParts(kind,conform,category,:options) == main where
-;  main ==
-;    cons? := IFCAR options  --means to include constructors as well
-;    $attrlist: local := nil
-;    $oplist  : local := nil
-;    $conslist: local := nil
-;    conname := opOf conform
-;    for x in exportsOf(category) repeat build(x,true)
-;    $attrlist := listSort(function GLESSEQP,$attrlist)
-;    $oplist   := listSort(function GLESSEQP,$oplist)
-;    res := [$attrlist,:$oplist]
-;    if cons? then res := [listSort(function GLESSEQP,$conslist),:res]
-;    if kind = 'category then
-;      tvl := TAKE(#rest conform,$TriangleVariableList)
-;      res := SUBLISLIS($FormalMapVariableList,tvl,res)
-;    res
-;  build(item,pred) ==
-;    item is ['SIGNATURE,op,sig,:.] => $oplist   := [[opOf op,sig,:pred],:$oplist]
-;    --note: opOf is needed!!! Bug in compiler puts in (One) and (Zero)
-;    item is ['ATTRIBUTE,attr] =>
-;      constructor? opOf attr =>
-;        $conslist := [[attr,:pred],:$conslist]
-;        nil
-;      opOf attr = 'nothing => 'skip
-;      $attrlist := [[opOf attr,IFCDR attr,:pred],:$attrlist]
-;    item is ['TYPE,op,type] =>
-;        $oplist := [[op,[type],:pred],:$oplist]
-;    item is ['IF,pred1,s1,s2] =>
-;      build(s1,quickAnd(pred,pred1))
-;      s2 => build(s2,quickAnd(pred,['NOT,pred1]))
-;    item is ['PROGN,:r] => for x in r repeat build(x,pred)
-;    item in '(noBranch) => 'ok
-;    null item => 'ok
-;    systemError '"build error"
-;  exportsOf(target) ==
-;    target is ['CATEGORY,.,:r] => r
-;    target is ['Join,:r,f] =>
-;      for x in r repeat $conslist := [[x,:true],:$conslist]
-;      exportsOf f
-;    $conslist := [[target,:true],:$conslist]
-;    nil
-
-(DEFUN |asCategoryParts,exportsOf| (|target|)
-  (PROG (|ISTMP#1| |ISTMP#2| |f| |r|)
-  (declare (special |$conslist|))
-    (RETURN
-      (SEQ (IF (AND (PAIRP |target|) (EQ (QCAR |target|) 'CATEGORY)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |target|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN (SPADLET |r| (QCDR |ISTMP#1|)) 'T))))
-               (EXIT |r|))
-           (IF (AND (PAIRP |target|) (EQ (QCAR |target|) '|Join|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |target|))
-                      (AND (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |ISTMP#2|
-                                           (REVERSE |ISTMP#1|))
-                                  'T))
-                           (AND (PAIRP |ISTMP#2|)
-                                (PROGN
-                                  (SPADLET |f| (QCAR |ISTMP#2|))
-                                  (SPADLET |r| (QCDR |ISTMP#2|))
-                                  'T))
-                           (PROGN (SPADLET |r| (NREVERSE |r|)) 'T))))
-               (EXIT (SEQ (DO ((G169341 |r| (CDR G169341))
-                               (|x| NIL))
-                              ((OR (ATOM G169341)
-                                   (PROGN
-                                     (SETQ |x| (CAR G169341))
-                                     NIL))
-                               NIL)
-                            (SEQ (EXIT (SPADLET |$conslist|
-                                        (CONS (CONS |x| 'T)
-                                         |$conslist|)))))
-                          (EXIT (|asCategoryParts,exportsOf| |f|)))))
-           (SPADLET |$conslist| (CONS (CONS |target| 'T) |$conslist|))
-           (EXIT NIL)))))
-
-(DEFUN |asCategoryParts,build| (|item| |pred|)
-  (PROG (|sig| |attr| |op| |type| |ISTMP#1| |pred1| |ISTMP#2| |s1|
-               |ISTMP#3| |s2| |r|)
-  (declare (special |$oplist| |$attrlist| |$conslist|))
-    (RETURN
-      (SEQ (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'SIGNATURE)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |op| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (PROGN
-                                    (SPADLET |sig| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (SPADLET |$oplist|
-                              (CONS (CONS (|opOf| |op|)
-                                     (CONS |sig| |pred|))
-                                    |$oplist|))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'ATTRIBUTE)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                           (PROGN
-                             (SPADLET |attr| (QCAR |ISTMP#1|))
-                             'T))))
-               (EXIT (SEQ (IF (|constructor?| (|opOf| |attr|))
-                              (EXIT (SEQ
-                                     (SPADLET |$conslist|
-                                      (CONS (CONS |attr| |pred|)
-                                       |$conslist|))
-                                     (EXIT NIL))))
-                          (IF (BOOT-EQUAL (|opOf| |attr|) '|nothing|)
-                              (EXIT '|skip|))
-                          (EXIT (SPADLET |$attrlist|
-                                         (CONS
-                                          (CONS (|opOf| |attr|)
-                                           (CONS (IFCDR |attr|) |pred|))
-                                          |$attrlist|))))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'TYPE)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |op| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |type| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (SPADLET |$oplist|
-                              (CONS (CONS |op|
-                                     (CONS (CONS |type| NIL) |pred|))
-                                    |$oplist|))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'IF)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |pred1| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (PROGN
-                                    (SPADLET |s1| (QCAR |ISTMP#2|))
-                                    (SPADLET |ISTMP#3|
-                                     (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
-                                     (EQ (QCDR |ISTMP#3|) NIL)
-                                     (PROGN
-                                       (SPADLET |s2| (QCAR |ISTMP#3|))
-                                       'T))))))))
-               (EXIT (SEQ (|asCategoryParts,build| |s1|
-                              (|quickAnd| |pred| |pred1|))
-                          (EXIT (IF |s2|
-                                    (EXIT
-                                     (|asCategoryParts,build| |s2|
-                                      (|quickAnd| |pred|
-                                       (CONS 'NOT (CONS |pred1| NIL))))))))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'PROGN)
-                    (PROGN (SPADLET |r| (QCDR |item|)) 'T))
-               (EXIT (DO ((G169362 |r| (CDR G169362)) (|x| NIL))
-                         ((OR (ATOM G169362)
-                              (PROGN (SETQ |x| (CAR G169362)) NIL))
-                          NIL)
-                       (SEQ (EXIT (|asCategoryParts,build| |x| |pred|))))))
-           (IF (|member| |item| '(|noBranch|)) (EXIT '|ok|))
-           (IF (NULL |item|) (EXIT '|ok|))
-           (EXIT (|systemError| "build error"))))))
-
-(DEFUN |asCategoryParts|
-       (&REST G169422 &AUX |options| |category| |conform| |kind|)
-  (DSETQ (|kind| |conform| |category| . |options|) G169422)
-  (PROG (|$attrlist| |$oplist| |$conslist| |cons?| |conname| |tvl| |res|)
-  (DECLARE (SPECIAL |$attrlist| |$oplist| |$conslist| 
-                      |$FormalMapVariableList| |$TriangleVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |cons?| (IFCAR |options|))
-             (SPADLET |$attrlist| NIL)
-             (SPADLET |$oplist| NIL)
-             (SPADLET |$conslist| NIL)
-             (SPADLET |conname| (|opOf| |conform|))
-             (DO ((G169396 (|asCategoryParts,exportsOf| |category|)
-                      (CDR G169396))
-                  (|x| NIL))
-                 ((OR (ATOM G169396)
-                      (PROGN (SETQ |x| (CAR G169396)) NIL))
-                  NIL)
-               (SEQ (EXIT (|asCategoryParts,build| |x| 'T))))
-             (SPADLET |$attrlist|
-                      (|listSort| (|function| GLESSEQP) |$attrlist|))
-             (SPADLET |$oplist|
-                      (|listSort| (|function| GLESSEQP) |$oplist|))
-             (SPADLET |res| (CONS |$attrlist| |$oplist|))
-             (COND
-               (|cons?| (SPADLET |res|
-                                 (CONS (|listSort|
-                                        (|function| GLESSEQP)
-                                        |$conslist|)
-                                       |res|))))
-             (COND
-               ((BOOT-EQUAL |kind| '|category|)
-                (SPADLET |tvl|
-                         (TAKE (|#| (CDR |conform|))
-                               |$TriangleVariableList|))
-                (SPADLET |res|
-                         (SUBLISLIS |$FormalMapVariableList| |tvl|
-                             |res|))))
-             |res|)))))
-
-;--============================================================================
-;--               Dead Code (for a very odd value of 'dead')
-;--============================================================================
-;asyTypeJoinPartExport x ==
-;  [op,:items] := x
-;  for y in items repeat
-;    y isnt ["->",source,t] =>
-;--       sig := ['TYPE, op, asyTypeUnit y]
-;-- converts constants to nullary functions (this code isn't dead)
-;       sig := ['SIGNATURE, op, [asyTypeUnit y]]
-;       $opStack := [[sig,:$predlist],:$opStack]
-;    s :=
-;      source is ['Comma,:s] => [asyTypeUnit z for z in s]
-;      [asyTypeUnit source]
-;    t := asyTypeUnit t
-;    sig :=
-;      null t => ['SIGNATURE,op,s]
-;      ['SIGNATURE,op,[t,:s]]
-;    $opStack := [[sig,:$predlist],:$opStack]
-
-(DEFUN |asyTypeJoinPartExport| (|x|)
-  (PROG (|op| |items| |ISTMP#1| |source| |ISTMP#2| |s| |t| |sig|)
-  (declare (special |$opStack| |$predlist|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |x|))
-             (SPADLET |items| (CDR |x|))
-             (DO ((G169459 |items| (CDR G169459)) (|y| NIL))
-                 ((OR (ATOM G169459)
-                      (PROGN (SETQ |y| (CAR G169459)) NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((NULL (AND (PAIRP |y|) (EQ (QCAR |y|) '->)
-                                    (PROGN
-                                      (SPADLET |ISTMP#1| (QCDR |y|))
-                                      (AND (PAIRP |ISTMP#1|)
-                                       (PROGN
-                                         (SPADLET |source|
-                                          (QCAR |ISTMP#1|))
-                                         (SPADLET |ISTMP#2|
-                                          (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
-                                          (EQ (QCDR |ISTMP#2|) NIL)
-                                          (PROGN
-                                            (SPADLET |t|
-                                             (QCAR |ISTMP#2|))
-                                            'T)))))))
-                             (SPADLET |sig|
-                                      (CONS 'SIGNATURE
-                                       (CONS |op|
-                                        (CONS
-                                         (CONS (|asyTypeUnit| |y|) NIL)
-                                         NIL))))
-                             (SPADLET |$opStack|
-                                      (CONS (CONS |sig| |$predlist|)
-                                       |$opStack|)))
-                            ('T
-                             (SPADLET |s|
-                                      (COND
-                                        ((AND (PAIRP |source|)
-                                          (EQ (QCAR |source|) '|Comma|)
-                                          (PROGN
-                                            (SPADLET |s|
-                                             (QCDR |source|))
-                                            'T))
-                                         (PROG (G169469)
-                                           (SPADLET G169469 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G169474 |s|
-                                                (CDR G169474))
-                                               (|z| NIL))
-                                              ((OR (ATOM G169474)
-                                                (PROGN
-                                                  (SETQ |z|
-                                                   (CAR G169474))
-                                                  NIL))
-                                               (NREVERSE0 G169469))
-                                               (SEQ
-                                                (EXIT
-                                                 (SETQ G169469
-                                                  (CONS
-                                                   (|asyTypeUnit| |z|)
-                                                   G169469))))))))
-                                        ('T
-                                         (CONS (|asyTypeUnit| |source|)
-                                          NIL))))
-                             (SPADLET |t| (|asyTypeUnit| |t|))
-                             (SPADLET |sig|
-                                      (COND
-                                        ((NULL |t|)
-                                         (CONS 'SIGNATURE
-                                          (CONS |op| (CONS |s| NIL))))
-                                        ('T
-                                         (CONS 'SIGNATURE
-                                          (CONS |op|
-                                           (CONS (CONS |t| |s|) NIL))))))
-                             (SPADLET |$opStack|
-                                      (CONS (CONS |sig| |$predlist|)
-                                       |$opStack|))))))))))))
-
-;--============================================================================
-;--               Code to create opDead Code
-;--============================================================================
-;asyTypeJoinStack r ==
-;  al := [[[x while r is [[x, :q],:s] and p = q and (r := s; true)],:p]
-;           while r is [[.,:p],:.]]
-;  result := "append"/[fn for [y,:p] in al] where fn ==
-;    p => [['IF,asyTypeMakePred p,:y]]
-;    y
-;  result
-
-(DEFUN |asyTypeJoinStack| (|r|)
-  (PROG (|ISTMP#1| |x| |q| |s| |al| |y| |p| |result|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |al|
-                      (PROG (G169533)
-                        (SPADLET G169533 NIL)
-                        (RETURN
-                          (DO ()
-                              ((NULL (AND (PAIRP |r|)
-                                      (PROGN
-                                        (SPADLET |ISTMP#1| (QCAR |r|))
-                                        (AND (PAIRP |ISTMP#1|)
-                                         (PROGN
-                                           (SPADLET |p|
-                                            (QCDR |ISTMP#1|))
-                                           'T)))))
-                               (NREVERSE0 G169533))
-                            (SEQ (EXIT (SETQ G169533
-                                        (CONS
-                                         (CONS
-                                          (PROG (G169554)
-                                            (SPADLET G169554 NIL)
-                                            (RETURN
-                                              (DO ()
-                                               ((NULL
-                                                 (AND (PAIRP |r|)
-                                                  (PROGN
-                                                    (SPADLET |ISTMP#1|
-                                                     (QCAR |r|))
-                                                    (AND
-                                                     (PAIRP |ISTMP#1|)
-                                                     (PROGN
-                                                       (SPADLET |x|
-                                                        (QCAR
-                                                         |ISTMP#1|))
-                                                       (SPADLET |q|
-                                                        (QCDR
-                                                         |ISTMP#1|))
-                                                       'T)))
-                                                  (PROGN
-                                                    (SPADLET |s|
-                                                     (QCDR |r|))
-                                                    'T)
-                                                  (BOOT-EQUAL |p| |q|)
-                                                  (PROGN
-                                                    (SPADLET |r| |s|)
-                                                    'T)))
-                                                (NREVERSE0 G169554))
-                                                (SEQ
-                                                 (EXIT
-                                                  (SETQ G169554
-                                                   (CONS |x| G169554)))))))
-                                          |p|)
-                                         G169533))))))))
-             (SPADLET |result|
-                      (PROG (G169562)
-                        (SPADLET G169562 NIL)
-                        (RETURN
-                          (DO ((G169568 |al| (CDR G169568))
-                               (G169511 NIL))
-                              ((OR (ATOM G169568)
-                                   (PROGN
-                                     (SETQ G169511 (CAR G169568))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |y| (CAR G169511))
-                                       (SPADLET |p| (CDR G169511))
-                                       G169511)
-                                     NIL))
-                               G169562)
-                            (SEQ (EXIT (SETQ G169562
-                                        (APPEND G169562
-                                         (COND
-                                           (|p|
-                                            (CONS
-                                             (CONS 'IF
-                                              (CONS
-                                               (|asyTypeMakePred| |p|)
-                                               |y|))
-                                             NIL))
-                                           ('T |y|))))))))))
-             |result|)))))
-
-;asyTypeMakePred [p,:u] ==
-;  while u is [q,:u] repeat p := quickAnd(q,p)
-;  p
-
-(DEFUN |asyTypeMakePred| (G169596)
-  (PROG (|q| |u| |p|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |p| (CAR G169596))
-             (SPADLET |u| (CDR G169596))
-             (DO ()
-                 ((NULL (AND (PAIRP |u|)
-                             (PROGN
-                               (SPADLET |q| (QCAR |u|))
-                               (SPADLET |u| (QCDR |u|))
-                               'T)))
-                  NIL)
-               (SEQ (EXIT (SPADLET |p| (|quickAnd| |q| |p|)))))
-             |p|)))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/ax.boot.pamphlet axiom-20111101/src/interp/ax.boot.pamphlet
--- axiom-20110301a/src/interp/ax.boot.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/ax.boot.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,862 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\newcommand{\file}[1]{\texttt{#1}}
-\begin{document}
-\title{\$SPAD/src/interp ax.boot}
-\author{Ralf Hemmecke}
-\maketitle
-\begin{abstract}
-We give an overview of what \file{ax.boot} does and in particular
-describe the function \verb'makeAxExportForm'.
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\section{New Aldor compiler changes}
-This was changed so the open source version of axiom can work with the new
-aldor compiler.
-This used to read:
-\begin{verbatim}
-  axForm := ['Sequence, ['Import, [], 'AxiomLib], :axForms]
-\end{verbatim}
-but was changed to read:
-\begin{chunk}{aldor mod 1}
-  axForm := ['Sequence, _
-               ['Import, [], 'AxiomLib], ['Import, [], 'Boolean], :axForms]
-\end{chunk}
-\section{Overview}
-\subsection{makeAxExportForm}
-The most important function in \file{ax.boot} is the function
-\verb'makeAxExportForm'.
-
-The function takes as input a filename and a list of constructors.
-Via LISP it would be called like
-\begin{verbatim}
-(|makeAxExportForm| filename constructors)
-\end{verbatim}
-where \verb'filename' is actually unused and could be removed and
-\verb'constructors' should be a list of constructor names, i.e., names
-of categories, domains, and packages in their unabbreviated form.
-
-It returns a list that represents the \texttt{.ap} (parsed source)
-(see \verb'aldor -hall') form of the constructors. However, since the
-output is only needed for a construction of an Aldor-Axiom
-interaction, \verb'makeAxExportForm' will only construct the category
-part of the constructor.
-
-The function is actually used in \file{src/aldor/genax.lsp} and is an
-auxiliary part in the construction of the interface for the
-interaction of the Aldor compiler with Axiom.
-\begin{chunk}{makeAxExportForm}
-makeAxExportForm(filename, constructors) ==
-  $defaultFlag : local := false
-  $literals := []
-  axForms :=
-     [modemapToAx(modemap) for cname in constructors |
-            (modemap:=GETDATABASE(cname,'CONSTRUCTORMODEMAP)) and
-              (not cname in '(Tuple Exit Type)) and
-                not isDefaultPackageName cname]
-  if $baseForms then
-     axForms := [:$baseForms, :axForms]
-  if $defaultFlag then
-     axForms :=
-        [['Foreign, ['Declare, 'dummyDefault, 'Exit], 'Lisp], :axForms]
-  axForms := APPEND(axDoLiterals(), axForms)
-  axForm := ['Sequence, _
-               ['Import, [], 'AxiomLib], ['Import, [], 'Boolean], :axForms]
-  axForm
-
-\end{chunk}
-The basic translation is easily demonstrated with a few examples. For
-better readability, we look at the corresponding SPAD form of the
-constructor (instead of its internal LISP representation).
-
-Let us first state what different situations we identified.
-\begin{enumerate}
-\item Ordinary domains. See Section~\ref{sec:Domain}.
-\item Ordinary categories. See Section~\ref{sec:Category}.
-\item Ordinary categories with default packages. See
-  Section~\ref{sec:Category+Default}.
-\item Initial domains, i.e., domains that will be extended in the
-  course of building \file{libaxiom.al}. These domains are listed in
-  the variable \verb'$extendedDomains'. %$
-
-  See Sections~\ref{sec:InitDomain} and
-  \ref{sec:ParametrizedInitDomain}. There is a subdivision for these
-  domains.
-  \begin{enumerate}
-  \item For domains that take no arguments, see
-    Section~\ref{sec:InitDomain}.
-  \item For domains that take arguments, see
-    Section~\ref{sec:ParametrizedInitDomain}.
-  \end{enumerate}
-\end{enumerate}
-\section{Ordinary Domains}\label{sec:Domain}
-The domain \verb'Stack'.
-\begin{verbatim}
-Stack(S:SetCategory): StackAggregate S with
-    stack: List S -> %
-  == add
-    Rep := Reference List S
-    ...
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Export|
-        (|Declare| |Stack|
-            (|Apply| -> (|Declare| |#1| |SetCategory|)
-                     (|With| NIL
-                             (|Sequence|
-                                 (|Apply| |StackAggregate| |#1|)
-                                 (|Declare| |stack|
-                                     (|Apply| ->
-                                      (|Comma| (|Apply| |List| |#1|))
-                                      %))))))
-        NIL NIL))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-export Stack: (T: SetCategory) -> with {
-                                        StackAggregate T;
-                                        stack: List T -> %;
-                                  }
-\end{verbatim}
-Note that nothing appears before the \verb'with'. No problem because
-that is equivalent to a \verb'Join' in Aldor.
-\section{Ordinary Categories}\label{sec:Category}
-The category \verb'SquareFreeNormalizedTriangularSetCategory' without
-a default package.
-\begin{verbatim}
-SquareFreeNormalizedTriangularSetCategory(_
-        R: GcdDomain,_
-        E: OrderedAbelianMonoidSup,_
-        V: OrderedSet,_
-        P:RecursivePolynomialCategory(R, E, V)): Category ==
-    Join(_
-        SquareFreeRegularTriangularSetCategory(R,E,V,P),_
-         NormalizedTriangularSetCategory(R,E,V,P))
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Define|
-        (|Declare| |SquareFreeNormalizedTriangularSetCategory|
-            (|Apply| ->
-                     (|Comma| (|Declare| |#1| |GcdDomain|)
-                              (|Declare| |#2|
-                                  |OrderedAbelianMonoidSup|)
-                              (|Declare| |#3| |OrderedSet|)
-                              (|Declare| |#4|
-                                  (|Apply| |RecursivePolynomialCategory|
-                                           |#1| |#2| |#3|)))
-                     |Category|))
-        (|Lambda|
-            (|Comma| (|Declare| |#1| |GcdDomain|)
-                     (|Declare| |#2| |OrderedAbelianMonoidSup|)
-                     (|Declare| |#3| |OrderedSet|)
-                     (|Declare| |#4|
-                         (|Apply| |RecursivePolynomialCategory| |#1|
-                                  |#2| |#3|)))
-            |Category|
-            (|Label| |SquareFreeNormalizedTriangularSetCategory|
-                     (|With| NIL
-                             (|Sequence|
-                                 (|Apply| |SquareFreeRegularTriangularSetCategory|
-                                          |#1| |#2| |#3| |#4|)
-                                 (|Apply| |NormalizedTriangularSetCategory|
-                                          |#1| |#2| |#3| |#4|)))))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-SquareFreeNormalizedTriangularSetCategory: (
-        R: GcdDomain,
-        E: OrderedAbelianMonoidSup,
-        V: OrderedSet,
-        P: RecursivePolynomialCategory(R, E, V)
-) -> Category == (
-        R: GcdDomain,
-        E: OrderedAbelianMonoidSup,
-        V: OrderedSet,
-        P: RecursivePolynomialCategory(R, E, V)
-): Category +-> with {
-        SquareFreeRegularTriangularSetCategory(R, E, V, P),
-        NormalizedTriangularSetCategory(R, E, V, P)
-}
-\end{verbatim}
-  Again, nothing appears in front of the \verb'with'. No problem
-  because that is equivalent to a \verb'Join' in Aldor.
-\section{Ordinary Categories with Default Packages}
-\label{sec:Category+Default}
-The category \verb'StringAggregate' with default package.
-\begin{verbatim}
-StringAggregate: Category == OneDimensionalArrayAggregate Character with
-    lowerCase       : % -> %
-    lowerCase_!: % -> %
-    upperCase       : % -> %
-    ...
-    rightTrim: (%, CharacterClass) -> %
-    elt: (%, %) -> %
- add
-   trim(s: %, c:  Character)      == leftTrim(rightTrim(s, c),  c)
-   trim(s: %, cc: CharacterClass) == leftTrim(rightTrim(s, cc), cc)
-   lowerCase s           == lowerCase_! copy s
-   upperCase s           == upperCase_! copy s
-   prefix?(s, t)         == substring?(s, t, minIndex t)
-   coerce(c:Character):% == new(1, c)
-   elt(s:%, t:%): %      == concat(s,t)$%
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Foreign| (|Declare| |dummyDefault| |Exit|) |Lisp|)
-    (|Define| (|Declare| |StringAggregate| |Category|)
-        (|With| NIL
-                (|Sequence|
-                    (|Apply| |OneDimensionalArrayAggregate|
-                             |Character|)
-                    (|Declare| |lowerCase| (|Apply| -> (|Comma| %) %))
-                    (|Declare| |lowerCase!| (|Apply| -> (|Comma| %) %))
-                    (|Declare| |upperCase| (|Apply| -> (|Comma| %) %))
-                    ...
-                    (|Declare| |rightTrim|
-                        (|Apply| -> (|Comma| % |CharacterClass|) %))
-                    (|Declare| |apply| (|Apply| -> (|Comma| % %) %))
-                    (|Default|
-                        (|Sequence|
-                            (|Define|
-                                (|Declare| |coerce|
-                                    (|Apply| -> (|Comma| |Character|)
-                                     %))
-                                (|Lambda|
-                                    (|Comma|
-                                     (|Declare| |t#1| |Character|))
-                                    %
-                                    (|Label| |coerce| |dummyDefault|)))
-                            (|Define|
-                                (|Declare| |apply|
-                                    (|Apply| -> (|Comma| % %) %))
-                                (|Lambda|
-                                    (|Comma| (|Declare| |t#1| %)
-                                     (|Declare| |t#2| %))
-                                    % (|Label| |apply| |dummyDefault|)))
-                            (|Define|
-                                (|Declare| |lowerCase|
-                                    (|Apply| -> (|Comma| %) %))
-                                (|Lambda| (|Comma| (|Declare| |t#1| %))
-                                    %
-                                    (|Label| |lowerCase|
-                                     |dummyDefault|)))
-                            ...
-                            ))))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-import dummyDefault: Exit from Foreign Lisp;
-StringAggregate: Category == with {
-    OneDimensionalArrayAggregate Character;
-    lowerCase: % -> %;
-    lowerCase!: % -> %;
-    upperCase: % -> %;
-    ...
-    rightTrim: (%, CharacterClass) -> %;
-    apply: (%, %) -> %
- default {
-   coerce: Character -> % == (t: Character): % +-> dummyDefault;
-   apply: (%, %) -> %     == (t1: %, t2: %): % +-> dummyDefault;
-   lowerCase: % -> %      == (t: %): %         +-> dummyDefault;
-   ...
-}
-\end{verbatim}
-It is important to note that the actual default functions are given by
-a dummy implementation that is imported from LISP.
-
-And again, nothing appears in front of the \verb'with'. No problem
-because that is equivalent to a \verb'Join' in Aldor.
-
-Note that the \verb'elt' function is translated into \verb'apply'.
-\section{Initial Domains without Arguments}
-\label{sec:InitDomain}
-\begin{verbatim}
-SingleInteger(): Join(IntegerNumberSystem,Logic,OpenMath) with
-   canonical
-   canonicalsClosed
-   noetherian
-   max      : () -> %
-   min      : () -> %
-   "not":   % -> %
-   "~"  :   % -> %
-   "/\": (%, %) -> %
-   "\/" : (%, %) -> %
-   "xor": (%, %) -> %
-   Not  : % -> %
-   And  : (%,%) -> %
-   Or   : (%,%) -> %
- == add
-   ...
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Extend|
-        (|Define|
-            (|Declare| |SingleInteger|
-                (|With| NIL
-                        (|Sequence| |IntegerNumberSystem| |Logic|
-                            |OpenMath|
-                            (|RestrictTo| |canonical| |Category|)
-                            (|RestrictTo| |canonicalsClosed|
-                                |Category|)
-                            (|RestrictTo| |noetherian| |Category|)
-                            (|Declare| |max| (|Apply| -> (|Comma|) %))
-                            (|Declare| |min| (|Apply| -> (|Comma|) %))
-                            (|Declare| |not|
-                                (|Apply| -> (|Comma| %) %))
-                            (|Declare| ~ (|Apply| -> (|Comma| %) %))
-                            (|Declare| |/\\|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |\\/|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |xor|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |Not|
-                                (|Apply| -> (|Comma| %) %))
-                            (|Declare| |And|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |Or|
-                                (|Apply| -> (|Comma| % %) %)))))
-            (|Add| (|PretendTo| (|Add| NIL NIL)
-                       (|With| NIL
-                               (|Sequence| |IntegerNumberSystem|
-                                   |Logic| |OpenMath|
-                                   (|RestrictTo| |canonical|
-                                    |Category|)
-                                   (|RestrictTo| |canonicalsClosed|
-                                    |Category|)
-                                   (|RestrictTo| |noetherian|
-                                    |Category|)
-                                   (|Declare| |max|
-                                    (|Apply| -> (|Comma|) %))
-                                   (|Declare| |min|
-                                    (|Apply| -> (|Comma|) %))
-                                   (|Declare| |not|
-                                    (|Apply| -> (|Comma| %) %))
-                                   (|Declare| ~
-                                    (|Apply| -> (|Comma| %) %))
-                                   (|Declare| |/\\|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |\\/|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |xor|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |Not|
-                                    (|Apply| -> (|Comma| %) %))
-                                   (|Declare| |And|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |Or|
-                                    (|Apply| -> (|Comma| % %) %)))))
-                   NIL))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-extend SingleInteger: with {
-        IntegerNumberSystem;
-        Logic;
-        OpenMath;
-        canonical @ Category;
-        canonicalsClosed @ Category;
-        noetherian @ Category;
-        max: () -> %;
-        min: () -> %;
-        _not: % -> %;
-        ~:   % -> %;
-        /\:  (%, %) -> %;
-        \/:  (%, %) -> %;
-        xor: (%, %) -> %;
-        Not: % -> %;
-        And: (%,%) -> %;
-        Or : (%,%) -> %;
-}
- == (add pretend with {
-        IntegerNumberSystem;
-        Logic;
-        OpenMath;
-        canonical @ Category;
-        canonicalsClosed @ Category;
-        noetherian @ Category;
-        max: () -> %;
-        min: () -> %;
-        _not: % -> %;
-        ~:   % -> %;
-        /\:  (%, %) -> %;
-        \/:  (%, %) -> %;
-        xor: (%, %) -> %;
-        Not: % -> %;
-        And: (%,%) -> %;
-        Or : (%,%) -> %;
-}) add;
-\end{verbatim}
-\section{Initial Domains with Arguments}
-\label{sec:ParametrizedInitDomain}
-\begin{verbatim}
-SegmentBinding(S:Type): Type with
-  equation: (Symbol, Segment S) -> %
-  variable: % -> Symbol
-  segment : % -> Segment S
-  if S has SetCategory then SetCategory
- == add
-  Rep := Record(var:Symbol, seg:Segment S)
-  ...
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Sequence|
-        (|Define|
-            (|Declare| |SegmentBindingExtendCategory|
-                (|Apply| -> (|Declare| |#1| |Type|) |Category|))
-            (|Lambda| (|Comma| (|Declare| |#1| |Type|)) |Category|
-                (|Label| |SegmentBindingExtendCategory|
-                         (|With| NIL
-                                 (|Sequence|
-                                     (|Declare| |equation|
-                                      (|Apply| ->
-                                       (|Comma| |Symbol|
-                                        (|Apply| |Segment| |#1|))
-                                       %))
-                                     (|Declare| |variable|
-                                      (|Apply| -> (|Comma| %) |Symbol|))
-                                     (|Declare| |segment|
-                                      (|Apply| -> (|Comma| %)
-                                       (|Apply| |Segment| |#1|)))
-                                     (|If|
-                                      (|Test|
-                                       (|Has| |#1| |SetCategory|))
-                                      |SetCategory| NIL))))))
-        (|Extend|
-            (|Define|
-                (|Declare| |SegmentBinding|
-                    (|Apply| -> (|Declare| |#1| |Type|)
-                             (|Apply| |SegmentBindingExtendCategory|
-                                      |#1|)))
-                (|Lambda| (|Comma| (|Declare| |#1| |Type|))
-                    (|Apply| |SegmentBindingExtendCategory| |#1|)
-                    (|Label| |SegmentBinding|
-                             (|Add| (|PretendTo| (|Add| NIL NIL)
-                                     (|Apply|
-                                      |SegmentBindingExtendCategory|
-                                      |#1|))
-                                    NIL)))))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-SegmentBindingExtendCategory: (S: Type) -> Category ==
-  (T: Type): Category +-> with {
-  equation: (Symbol, Segment S) -> %;
-  variable: % -> Symbol;
-  segment : % -> Segment S;
-  if S has SetCategory then SetCategory;
-}
-extend SegmentBinding: (S: Type) -> SegmentBindingExtendCategory S ==
-  (S: Type): SegmentBindingExtendCategory S +->
-    (add pretend SegmentBindingExtendCategory S) add;
-\end{verbatim}
-The last lines are actually equivalent to
-\begin{verbatim}
-extend SegmentBinding(S: Type): SegmentBindingExtendCategory S ==
-    (add pretend SegmentBindingExtendCategory S) add;
-\end{verbatim}
-
-\section{axFormatPref}
-Here we add an else clause. The original code read:
-\begin{verbatim}
-      if name = '$ then name := '%
-\end{verbatim}
-It appears that Aldor allows a richer syntax for [[has]]
-conditions since the call to [[axFormatOp]] appears to allow
-nested IF conditions.OQ
-\begin{chunk}{axFormatPred aldor change}
-axFormatPred pred ==
-   atom pred => pred
-   [op,:args] := pred
-   op = 'IF => axFormatOp pred
-   op = 'has =>
-      [name,type] := args
-      if name = '$ then name := '%
-      else name := axFormatOp name
-      ftype := axFormatOp type
-      if ftype is ['Declare,:.] then
-           ftype := ['With, [], ftype]
-      ['Test,['Has,name, ftype]]
-   axArglist := [axFormatPred arg for arg in args]
-   op = 'AND => ['And,:axArglist]
-   op = 'OR  => ['Or,:axArglist]
-   op = 'NOT => ['Not,:axArglist]
-   error "unknown predicate"
-
-\end{chunk}
-\section{License}
-\begin{verbatim}
--- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--- All rights reserved.
---
--- Redistribution and use in source and binary forms, with or without
--- modification, are permitted provided that the following conditions are
--- met:
---
---     - Redistributions of source code must retain the above copyright
---       notice, this list of conditions and the following disclaimer.
---
---     - Redistributions in binary form must reproduce the above copyright
---       notice, this list of conditions and the following disclaimer in
---       the documentation and/or other materials provided with the
---       distribution.
---
---     - Neither the name of The Numerical ALgorithms Group Ltd. nor the
---       names of its contributors may be used to endorse or promote products
---       derived from this software without specific prior written permission.
---
--- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
--- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
--- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
--- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
--- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
--- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
--- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
--- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
--- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
--- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
--- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-\end{verbatim}
-\begin{chunk}{*}
-
-$stripTypes := false
-$pretendFlag := false
-$defaultFlag := false
-$baseForms := nil
-$literals  := nil
-
-spad2AxTranslatorAutoloadOnceTrigger any == true
-
-sourceFilesToAxFile(filename, sourceFiles) ==
-  makeAxFile(filename, MAPCAN('fileConstructors, sourceFiles))
-
-
-$extendedDomains := nil
-
-setExtendedDomains(l) == 
-   $extendedDomains := l
-
-fileConstructors name ==
-   [INTERN(con,"BOOT") for con in SRCABBREVS SOURCEPATH STRING name]
-
-makeAxFile(filename, constructors) ==
-  $defaultFlag : local := false
-  $literals := []
-  axForms :=
-     [modemapToAx(modemap) for cname in constructors |
-            (modemap:=GETDATABASE(cname,'CONSTRUCTORMODEMAP)) and
-              (not cname in '(Tuple Exit Type)) and
-                not isDefaultPackageName cname]
-  if $baseForms then
-     axForms := [:$baseForms, :axForms]
-  if $defaultFlag then
-     axForms :=
-        [['Foreign, ['Declare, 'dummyDefault, 'Exit], 'Lisp], :axForms]
-  axForms := APPEND(axDoLiterals(), axForms)
-\getchunk{aldor mod 1}
-  st := MAKE_-OUTSTREAM(filename)
-  PPRINT(axForm,st)
-  CLOSE st
-
-\getchunk{makeAxExportForm}
-
-stripType type ==
-  $stripTypes =>
-     categoryForm? type => 'Type
-     type
-  type
-
-modemapToAx(modemap) ==
-  modemap is [[consform, target,:argtypes],.]
-  consform is [constructor,:args]
-  argdecls:=['Comma, : [axFormatDecl(a,stripType t) for a in args for t in argtypes]]
-  resultType :=  axFormatType stripType target
-  categoryForm? constructor =>
-      categoryInfo := GETDATABASE(constructor,'CONSTRUCTORCATEGORY)
-      categoryInfo := SUBLISLIS($FormalMapVariableList, $TriangleVariableList,
-                       categoryInfo)
-      NULL args =>
-          ['Define,['Declare, constructor,'Category],
-               addDefaults(constructor, axFormatType categoryInfo)]
-      ['Define,
-          ['Declare, constructor, ['Apply, "->", optcomma argdecls, 'Category]],
-           ['Lambda, argdecls, 'Category,
-            ['Label, constructor,
-               addDefaults(constructor, axFormatType categoryInfo)]]]
-  constructor in $extendedDomains =>
-     NULL args =>
-        ['Extend, ['Define, ['Declare, constructor, resultType],
-            ['Add, ['PretendTo, ['Add, [], []], resultType], []]]]
-     conscat := INTERN(STRCONC(SYMBOL_-NAME(constructor), "ExtendCategory"),"BOOT")
-     rtype := ['Apply, conscat, :args]
---     if resultType is ['With,a,b] then
---        if not(b is ['Sequence,:withseq]) then withseq := [b]
---        cosigs := rest GETDATABASE(constructor, 'COSIG)
---        exportargs := [['Export, [], arg, []] for arg in args for p in cosigs | p]
---        resultType := ['With,a,['Sequence,:APPEND(exportargs, withseq)]]
-     consdef := ['Define,
-        ['Declare, conscat, ['Apply, "->", optcomma argdecls, 'Category]],
-          ['Lambda, argdecls, 'Category, ['Label, conscat, resultType]]]
-     ['Sequence, consdef,
-      ['Extend, ['Define,
-        ['Declare, constructor, ['Apply, "->", optcomma argdecls, rtype]],
-          ['Lambda, argdecls, rtype,
-            ['Label, constructor,
-                ['Add, ['PretendTo, ['Add, [], []], rtype], []]]]]]]
-  NULL args =>
-     ['Export, ['Declare, constructor, resultType],[],[]]
---  if resultType is ['With,a,b] then
---     if not(b is ['Sequence,:withseq]) then withseq := [b]
---     cosigs := rest GETDATABASE(constructor, 'COSIG)
---     exportargs := [['Export, [], arg, []] for arg in args for p in cosigs | p]
---     resultType := ['With,a,['Sequence,:APPEND(exportargs, withseq)]]
-  ['Export, ['Declare, constructor, ['Apply, "->", optcomma argdecls, resultType]],[],[]]
-
-optcomma [op,:args] ==
-   # args = 1 => first args
-   [op,:args]
-
-axFormatDecl(sym, type) ==
-   if sym = '$ then sym := '%
-   opOf type in '(StreamAggregate FiniteLinearAggregate) =>
-        ['Declare, sym, 'Type]
-   ['Declare, sym, axFormatType type]
-
-makeTypeSequence l ==
-   ['Sequence,: delete('Type, l)]
-
-axFormatAttrib(typeform) ==
-  atom typeform => typeform
-  axFormatType typeform
-
-axFormatType(typeform) ==
-  atom typeform =>
-     typeform = '$ => '%
-     STRINGP typeform =>
-        ['Apply,'Enumeration, INTERN typeform]
-     INTEGERP typeform =>
-       -- need to test for PositiveInteger vs Integer
-        axAddLiteral('integer, 'PositiveInteger, 'Literal)
-        ['RestrictTo, ['LitInteger, STRINGIMAGE typeform ], 'PositiveInteger]
-     FLOATP typeform => ['LitFloat, STRINGIMAGE typeform]
-     MEMQ(typeform,$TriangleVariableList) =>
-        SUBLISLIS($FormalMapVariableList, $TriangleVariableList, typeform)
-     MEMQ(typeform, $FormalMapVariableList) => typeform
-     axAddLiteral('string, 'Symbol, 'Literal)
-     ['RestrictTo, ['LitString, PNAME typeform], 'Symbol]
-  typeform is ['construct,: args] =>
-      axAddLiteral('bracket, ['Apply, 'List, 'Symbol], [ 'Apply, 'Tuple, 'Symbol])
-      axAddLiteral('string, 'Symbol, 'Literal)
-      ['RestrictTo, ['Apply, 'bracket, 
-                       :[axFormatType a for a in args]],
-                         ['Apply, 'List, 'Symbol] ]
-  typeform is [op] =>
-    op = '$ => '%
-    op = 'Void => ['Comma]
-    op
-  typeform is ['local, val] => axFormatType val
-  typeform is ['QUOTE, val] => axFormatType val
-  typeform is ['Join,:cats,lastcat] =>
-      lastcat is ['CATEGORY,type,:ops] =>
-         ['With, [],
-            makeTypeSequence(
-               APPEND([axFormatType c for c in cats],
-                       [axFormatOp op for op in ops]))]
-      ['With, [], makeTypeSequence([axFormatType c for c in rest typeform])]
-  typeform is ['CATEGORY, type, :ops] =>
-      ['With, [],  axFormatOpList ops]
-  typeform is ['Mapping, target, :argtypes] =>
-      ['Apply, "->",
-               ['Comma, :[axFormatType t for t in argtypes]],
-                axFormatType target]
-  typeform is ['_:, name, type] => axFormatDecl(name,type)
-  typeform is ['Union, :args] =>
-      first args is ['_:,.,.] =>
-         ['Apply, 'Union, :[axFormatType a for a in args]]
-      taglist := []
-      valueCount := 0
-      for x in args repeat
-          tag :=
-            STRINGP x => INTERN x
-            x is ['QUOTE,val] and STRINGP val => INTERN val
-            valueCount := valueCount + 1
-            INTERNL("value", STRINGIMAGE valueCount)
-          taglist := [tag ,: taglist]
-      ['Apply, 'Union, :[axFormatDecl(name,type) for name in reverse taglist
-                                for type in args]]
-  typeform is ['Dictionary,['Record,:args]] =>
-      ['Apply, 'Dictionary,
-          ['PretendTo, axFormatType CADR typeform, 'SetCategory]]
-  typeform is ['FileCategory,xx,['Record,:args]] =>
-      ['Apply, 'FileCategory, axFormatType xx,
-          ['PretendTo, axFormatType CADDR typeform, 'SetCategory]]
-  typeform is [op,:args] =>
-      $pretendFlag and constructor? op and
-        GETDATABASE(op,'CONSTRUCTORMODEMAP) is [[.,target,:argtypes],.] =>
-          ['Apply, op,
-               :[['PretendTo, axFormatType a, axFormatType t]
-                     for a in args for t in argtypes]]
-      MEMQ(op, '(SquareMatrix SquareMatrixCategory DirectProduct
-         DirectProductCategory RadixExpansion)) and
-            GETDATABASE(op,'CONSTRUCTORMODEMAP) is [[.,target,arg1type,:restargs],.] =>
-               ['Apply, op,
-                  ['PretendTo, axFormatType first args, axFormatType arg1type],
-                     :[axFormatType a for a in rest args]]
-      ['Apply, op, :[axFormatType a for a in args]]
-  error "unknown entry type"
-
-axFormatOpList ops == ['Sequence,:[axFormatOp o for o in ops]]
-
-axOpTran(name) ==
-   ATOM name =>
-      name = 'elt => 'apply
-      name = 'setelt => 'set!
-      name = 'SEGMENT => ".."
-      name = 1 => '_1
-      name = 0 => '_0
-      name
-   opOf name = 'Zero => '_0
-   opOf name = 'One => '_1
-   error "bad op name"
-
-axFormatOpSig(name, [result,:argtypes]) ==
-   ['Declare, axOpTran name,
-         ['Apply, "->", ['Comma, :[axFormatType t for t in argtypes]],
-                        axFormatType result]]
-
-axFormatConstantOp(name, [result]) ==
-   ['Declare, axOpTran name, axFormatType result]
-
-\getchunk{axFormatPred aldor change}
-
-axFormatCondOp op ==
-  $pretendFlag:local := true
-  axFormatOp op
-
-
-axFormatOp op ==
-   op is ['IF, pred, trueops, falseops] =>
-      NULL(trueops) or trueops='noBranch =>
-         ['If, ['Test,['Not, axFormatPred pred]],
-              axFormatCondOp falseops,
-                axFormatCondOp trueops]
-      ['If, axFormatPred pred,
-             axFormatCondOp trueops,
-              axFormatCondOp falseops]
-       -- ops are either single op or ['PROGN, ops]
-   op is ['SIGNATURE, name, type] => axFormatOpSig(name,type)
-   op is ['SIGNATURE, name, type, 'constant] =>
-            axFormatConstantOp(name,type)
-   op is ['ATTRIBUTE, attributeOrCategory] =>
-       categoryForm? attributeOrCategory =>
-           axFormatType attributeOrCategory
-       ['RestrictTo, axFormatAttrib attributeOrCategory, 'Category]
-   op is ['PROGN, :ops] => axFormatOpList ops
-   op is 'noBranch => []
-   axFormatType op
-
-addDefaults(catname, withform) ==
-  withform isnt ['With, joins, ['Sequence,: oplist]] =>
-     error "bad category body"
-  null(defaults := getDefaultingOps catname) => withform
-  defaultdefs := [makeDefaultDef(decl) for decl in defaults]
-  ['With, joins,
-     ['Sequence, :oplist, ['Default, ['Sequence,: defaultdefs]]]]
-
-makeDefaultDef(decl) ==
-  decl isnt ['Declare, op, type] =>
-       error "bad default definition"
-  $defaultFlag := true
-  type is ['Apply, "->", args, result] =>
-       ['Define, decl, ['Lambda, makeDefaultArgs args, result,
-                    ['Label, op, 'dummyDefault]]]
-  ['Define, ['Declare, op, type], 'dummyDefault]
-
-makeDefaultArgs args ==
-  args isnt ['Comma,:argl] => error "bad default argument list"
-  ['Comma,: [['Declare,v,t] for v in $TriangleVariableList for t in argl]]
-
-getDefaultingOps catname ==
-  not(name:=hasDefaultPackage catname) => nil
-  $infovec: local := getInfovec name
-  opTable := $infovec.1
-  $opList:local  := nil
-  for i in 0..MAXINDEX opTable repeat
-    op := opTable.i
-    i := i + 1
-    startIndex := opTable.i
-    stopIndex :=
-      i + 1 > MAXINDEX opTable => MAXINDEX getCodeVector()
-      opTable.(i + 2)
-    curIndex := startIndex
-    while curIndex < stopIndex repeat
-      curIndex := get1defaultOp(op,curIndex)
-  $pretendFlag : local := true
-  catops := GETDATABASE(catname, 'OPERATIONALIST)
-  [axFormatDefaultOpSig(op,sig,catops) for opsig in $opList | opsig is [op,sig]]
-
-axFormatDefaultOpSig(op, sig, catops) ==
-  #sig > 1 => axFormatOpSig(op,sig)
-  nsig := MSUBST('$,'($), sig) -- dcSig listifies '$ ??
-  (catsigs := LASSOC(op, catops)) and
-    (catsig := assoc(nsig, catsigs)) and last(catsig) = 'CONST =>
-       axFormatConstantOp(op, sig)
-  axFormatOpSig(op,sig)
-
-get1defaultOp(op,index) ==
-  numvec := getCodeVector()
-  segment := getOpSegment index
-  numOfArgs := numvec.index
-  index := index + 1
-  predNumber := numvec.index
-  index := index + 1
-  signumList :=
- -- following substitution fixes the problem that default packages
- -- have $ added as a first arg, thus other arg counts are off by 1.
-    SUBLISLIS($FormalMapVariableList, rest $FormalMapVariableList,
-             dcSig(numvec,index,numOfArgs))
-  index := index + numOfArgs + 1
-  slotNumber := numvec.index
-  if not([op,signumList] in $opList) then
-     $opList := [[op,signumList],:$opList]
-  index + 1
-
-axAddLiteral(name, type, dom) == 
-  elt := [name, type, dom]
-  if not member( elt, $literals) then
-     $literals := [elt, :$literals]
-
-axDoLiterals() == 
-  [ [ 'Import,
-        [ 'With, [], 
-           ['Declare, name, [ 'Apply, '_-_> , dom , '_% ]]],
-              type ] for [name, type, dom] in $literals]
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/axext_l.lisp.pamphlet axiom-20111101/src/interp/axext_l.lisp.pamphlet
--- axiom-20110301a/src/interp/axext_l.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/axext_l.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,222 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp axext\_l.lisp}
-\author{Timothy Daly}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\section{License}
-\begin{verbatim}
-;; Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
-;; All rights reserved.
-;;
-;; Redistribution and use in source and binary forms, with or without
-;; modification, are permitted provided that the following conditions are
-;; met:
-;;
-;;     - Redistributions of source code must retain the above copyright
-;;       notice, this list of conditions and the following disclaimer.
-;;
-;;     - Redistributions in binary form must reproduce the above copyright
-;;       notice, this list of conditions and the following disclaimer in
-;;       the documentation and/or other materials provided with the
-;;       distribution.
-;;
-;;     - Neither the name of The Numerical ALgorithms Group Ltd. nor the
-;;       names of its contributors may be used to endorse or promote products
-;;       derived from this software without specific prior written permission.
-;;
-;; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-;; IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-;; TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-;; PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-;; OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-;; EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-;; PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-;; PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-;; LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-\end{verbatim}
-\begin{chunk}{*}
-
-;; File containing primitives needed by exextend in order to interop with axiom
-;; This file could do with some declares
-
-(in-package "FOAM-USER")
-
-;; tacky but means we can run programs
-
-(defun H-integer (l e)
-  (|AXL-LiteralToInteger| l))
-        
-(defun  H-string (l e)
-  (|AXL-LiteralToString| l))
-
-(defun  H-error (l e)
-  (|AXL-error| l))
-
-(eval-when (load eval)
-           (defconstant |G-axclique_string_305639517| (cons #'H-String nil))
-           (defconstant |G-axclique_integer_685864888| (cons #'H-integer nil))
-           (defconstant |G-axclique_error_011667951| (cons #'H-error nil)))
-
-;; Literals should be null-terminated strings
-
-;; SingleInteger
-
-(defmacro |AXL-LiteralToSingleInteger| (l)
-  `(parse-integer ,l :junk-allowed t))
-
-(defmacro |AXL-LiteralToInteger| (l)
-  `(parse-integer ,l :junk-allowed t))
-
-(defmacro |AXL-LiteralToDoubleFloat| (l)
-  `(read-from-string ,l nil (|DFlo0|)
-                     :preserve-whitespace t))
-
-(defmacro |AXL-LiteralToString| (l)
-  `(subseq ,l 0 (- (length ,l) 1)))
-
-(defmacro |AXL-SingleIntegerToInteger| (si)
-  `(coerce (the |SInt| ,si) |BInt|))
-
-(defmacro |AXL-StringToFloat| (s)
-  `(boot::|string2Float| ,s))
-
-(defmacro |AXL-IntegerIsNonNegative| (i)
-  `(not (< ,i 0)))
-
-(defmacro |AXL-IntegerIsPositive| (i)
-  `(< 0 (the |BInt| ,i)))
-
-(defmacro |AXL-plusInteger| (a b)
-  `(the |BInt| (+ (the |BInt| ,a)
-                  (the |BInt| ,b))))
-
-(defmacro |AXL-minusInteger| (a b)
-  `(the |BInt| (- (the |BInt| ,a)
-                  (the |BInt| ,b))))
-
-(defmacro |AXL-timesInteger| (a b)
-  `(the |BInt| (* (the |BInt| ,a)
-                  (the |BInt| ,b))))
-
-(defmacro |AXL-eqInteger| (a b)
-  `(= (the |BInt| ,a)
-      (the |BInt| ,b)))
-
-(defmacro |AXL-ltInteger| (a b)
-  `(< (the |BInt| ,a)
-      (the |BInt| ,b)))
-
-(defmacro |AXL-leInteger| (a b)
-  `(<= (the |BInt| ,a)
-       (the |BInt| ,b)))
-
-(defmacro |AXL-gtInteger| (a b)
-  `(> (the |BInt| ,a)
-      (the |BInt| ,b)))
-
-(defmacro |AXL-geInteger| (a b)
-  `(>= (the |BInt| ,a)
-       (the |BInt| ,b)))
-
-(defmacro |AXL-plusSingleInteger| (a b)
-  `(the |SInt| (+ (the |SInt| ,a)
-                  (the |SInt| ,b))))
-
-(defmacro |AXL-minusSingleInteger| (a b)
-  `(the |SInt| (- (the |SInt| ,a)
-                  (the |SInt| ,b))))
-
-(defmacro |AXL-timesSingleInteger| (a b)
-  `(the |SInt| (* (the |SInt| ,a)
-                  (the |SInt| ,b))))
-
-(defmacro |AXL-eqSingleInteger| (a b)
-  `(= (the |SInt| ,a)
-      (the |SInt| ,b)))
-
-(defmacro |AXL-ltSingleInteger| (a b)
-  `(< (the |SInt| ,a)
-      (the |SInt| ,b)))
-
-(defmacro |AXL-leSingleInteger| (a b)
-  `(<= (the |SInt| ,a)
-       (the |SInt| ,b)))
-
-(defmacro |AXL-gtSingleInteger| (a b)
-  `(> (the |SInt| ,a)
-      (the |SInt| ,b)))
-
-(defmacro |AXL-geSingleInteger| (a b)
-  `(>= (the |SInt| ,a)
-       (the |SInt| ,b)))
-
-(defmacro |AXL-incSingleInteger| (i)
-  `(the |SInt| (+ (the |SInt| ,i) 1)))
-
-(defmacro |AXL-decSingleInteger| (i)
-  `(- (the |SInt| ,i)
-     (the |SInt| 1)))
-
-(defmacro |AXL-onefnSingleInteger|  () '(the |SInt| 1))
-(defmacro |AXL-zerofnSingleInteger| () '(the |SInt| 0))
-
-(defmacro |AXL-cons| (x y)
-  `(cons ,x ,y))
-
-(defmacro |AXL-nilfn| () nil)
-
-(defmacro |AXL-car| (x) `(car ,x))
-
-(defmacro |AXL-cdr| (x) `(cdr ,x))
-
-(defmacro |AXL-null?| (x) `(null ,x))
-
-(defmacro |AXL-rplaca| (x y) `(rplaca ,x ,y))
-
-(defmacro |AXL-rplacd| (x y) `(rplacd ,x ,y))
-
-(defmacro |AXL-error| (msg) `(error ,msg))
-  
-;; arrays
-;; 0 based!
-(defmacro |AXL-arrayRef| (arr i)
-  `(|AElt| ,arr ,i))
-
-(defmacro |AXL-arraySet| (arr i v)
-  `(setf (|AElt| ,arr ,i) ,v))
-
-(defmacro |AXL-arrayToList| (x)
-  `(coerce ,x 'list))
-
-(defmacro |AXL-arraySize| (x)
-  `(length ,x))
-
-(defmacro |AXL-arrayNew| (n)
-  `(make-array ,n))
-
-(defmacro |AXL-arrayCopy| (x)
-  `(copy-seq ,x))
-
-;; Vectors
-
-
-;; Testing
-
-(defun |AXL-spitSInt| (x)
-  (print x))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/ax.lisp.pamphlet axiom-20111101/src/interp/ax.lisp.pamphlet
--- axiom-20110301a/src/interp/ax.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/ax.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,2250 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\newcommand{\file}[1]{\texttt{#1}}
-\begin{document}
-\title{\$SPAD/src/interp ax.lisp}
-\author{Ralf Hemmecke}
-\maketitle
-\begin{abstract}
-We give an overview of what \file{ax.boot} does and in particular
-describe the function \verb'makeAxExportForm'.
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\section{New Aldor compiler changes}
-This was changed so the open source version of axiom can work with the new
-aldor compiler.
-This used to read:
-\begin{verbatim}
-  axForm := ['Sequence, ['Import, [], 'AxiomLib], :axForms]
-\end{verbatim}
-but was changed to read:
-\begin{verbatim}
-  axForm := ['Sequence, _
-               ['Import, [], 'AxiomLib], ['Import, [], 'Boolean], :axForms]
-\end{verbatim}
-\section{Overview}
-\subsection{makeAxExportForm}
-The most important function in \file{ax.boot} is the function
-\verb'makeAxExportForm'.
-
-The function takes as input a filename and a list of constructors.
-Via LISP it would be called like
-\begin{verbatim}
-(|makeAxExportForm| filename constructors)
-\end{verbatim}
-where \verb'filename' is actually unused and could be removed and
-\verb'constructors' should be a list of constructor names, i.e., names
-of categories, domains, and packages in their unabbreviated form.
-
-It returns a list that represents the \texttt{.ap} (parsed source)
-(see \verb'aldor -hall') form of the constructors. However, since the
-output is only needed for a construction of an Aldor-Axiom
-interaction, \verb'makeAxExportForm' will only construct the category
-part of the constructor.
-
-The function is actually used in \file{src/aldor/genax.lsp} and is an
-auxiliary part in the construction of the interface for the
-interaction of the Aldor compiler with Axiom.
-\begin{verbatim}
-makeAxExportForm(filename, constructors) ==
-  $defaultFlag : local := false
-  $literals := []
-  axForms :=
-     [modemapToAx(modemap) for cname in constructors |
-            (modemap:=GETDATABASE(cname,'CONSTRUCTORMODEMAP)) and
-              (not cname in '(Tuple Exit Type)) and
-                not isDefaultPackageName cname]
-  if $baseForms then
-     axForms := [:$baseForms, :axForms]
-  if $defaultFlag then
-     axForms :=
-        [['Foreign, ['Declare, 'dummyDefault, 'Exit], 'Lisp], :axForms]
-  axForms := APPEND(axDoLiterals(), axForms)
-  axForm := ['Sequence, _
-               ['Import, [], 'AxiomLib], ['Import, [], 'Boolean], :axForms]
-  axForm
-
-\end{verbatim}
-The basic translation is easily demonstrated with a few examples. For
-better readability, we look at the corresponding SPAD form of the
-constructor (instead of its internal LISP representation).
-
-Let us first state what different situations we identified.
-\begin{enumerate}
-\item Ordinary domains. See Section~\ref{sec:Domain}.
-\item Ordinary categories. See Section~\ref{sec:Category}.
-\item Ordinary categories with default packages. See
-  Section~\ref{sec:Category+Default}.
-\item Initial domains, i.e., domains that will be extended in the
-  course of building \file{libaxiom.al}. These domains are listed in
-  the variable \verb'$extendedDomains'. %$
-
-  See Sections~\ref{sec:InitDomain} and
-  \ref{sec:ParametrizedInitDomain}. There is a subdivision for these
-  domains.
-  \begin{enumerate}
-  \item For domains that take no arguments, see
-    Section~\ref{sec:InitDomain}.
-  \item For domains that take arguments, see
-    Section~\ref{sec:ParametrizedInitDomain}.
-  \end{enumerate}
-\end{enumerate}
-\section{Ordinary Domains}\label{sec:Domain}
-The domain \verb'Stack'.
-\begin{verbatim}
-Stack(S:SetCategory): StackAggregate S with
-    stack: List S -> %
-  == add
-    Rep := Reference List S
-    ...
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Export|
-        (|Declare| |Stack|
-            (|Apply| -> (|Declare| |#1| |SetCategory|)
-                     (|With| NIL
-                             (|Sequence|
-                                 (|Apply| |StackAggregate| |#1|)
-                                 (|Declare| |stack|
-                                     (|Apply| ->
-                                      (|Comma| (|Apply| |List| |#1|))
-                                      %))))))
-        NIL NIL))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-export Stack: (T: SetCategory) -> with {
-                                        StackAggregate T;
-                                        stack: List T -> %;
-                                  }
-\end{verbatim}
-Note that nothing appears before the \verb'with'. No problem because
-that is equivalent to a \verb'Join' in Aldor.
-\section{Ordinary Categories}\label{sec:Category}
-The category \verb'SquareFreeNormalizedTriangularSetCategory' without
-a default package.
-\begin{verbatim}
-SquareFreeNormalizedTriangularSetCategory(_
-        R: GcdDomain,_
-        E: OrderedAbelianMonoidSup,_
-        V: OrderedSet,_
-        P:RecursivePolynomialCategory(R, E, V)): Category ==
-    Join(_
-        SquareFreeRegularTriangularSetCategory(R,E,V,P),_
-         NormalizedTriangularSetCategory(R,E,V,P))
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Define|
-        (|Declare| |SquareFreeNormalizedTriangularSetCategory|
-            (|Apply| ->
-                     (|Comma| (|Declare| |#1| |GcdDomain|)
-                              (|Declare| |#2|
-                                  |OrderedAbelianMonoidSup|)
-                              (|Declare| |#3| |OrderedSet|)
-                              (|Declare| |#4|
-                                  (|Apply| |RecursivePolynomialCategory|
-                                           |#1| |#2| |#3|)))
-                     |Category|))
-        (|Lambda|
-            (|Comma| (|Declare| |#1| |GcdDomain|)
-                     (|Declare| |#2| |OrderedAbelianMonoidSup|)
-                     (|Declare| |#3| |OrderedSet|)
-                     (|Declare| |#4|
-                         (|Apply| |RecursivePolynomialCategory| |#1|
-                                  |#2| |#3|)))
-            |Category|
-            (|Label| |SquareFreeNormalizedTriangularSetCategory|
-                     (|With| NIL
-                             (|Sequence|
-                                 (|Apply| |SquareFreeRegularTriangularSetCategory|
-                                          |#1| |#2| |#3| |#4|)
-                                 (|Apply| |NormalizedTriangularSetCategory|
-                                          |#1| |#2| |#3| |#4|)))))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-SquareFreeNormalizedTriangularSetCategory: (
-        R: GcdDomain,
-        E: OrderedAbelianMonoidSup,
-        V: OrderedSet,
-        P: RecursivePolynomialCategory(R, E, V)
-) -> Category == (
-        R: GcdDomain,
-        E: OrderedAbelianMonoidSup,
-        V: OrderedSet,
-        P: RecursivePolynomialCategory(R, E, V)
-): Category +-> with {
-        SquareFreeRegularTriangularSetCategory(R, E, V, P),
-        NormalizedTriangularSetCategory(R, E, V, P)
-}
-\end{verbatim}
-  Again, nothing appears in front of the \verb'with'. No problem
-  because that is equivalent to a \verb'Join' in Aldor.
-\section{Ordinary Categories with Default Packages}
-\label{sec:Category+Default}
-The category \verb'StringAggregate' with default package.
-\begin{verbatim}
-StringAggregate: Category == OneDimensionalArrayAggregate Character with
-    lowerCase       : % -> %
-    lowerCase_!: % -> %
-    upperCase       : % -> %
-    ...
-    rightTrim: (%, CharacterClass) -> %
-    elt: (%, %) -> %
- add
-   trim(s: %, c:  Character)      == leftTrim(rightTrim(s, c),  c)
-   trim(s: %, cc: CharacterClass) == leftTrim(rightTrim(s, cc), cc)
-   lowerCase s           == lowerCase_! copy s
-   upperCase s           == upperCase_! copy s
-   prefix?(s, t)         == substring?(s, t, minIndex t)
-   coerce(c:Character):% == new(1, c)
-   elt(s:%, t:%): %      == concat(s,t)$%
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Foreign| (|Declare| |dummyDefault| |Exit|) |Lisp|)
-    (|Define| (|Declare| |StringAggregate| |Category|)
-        (|With| NIL
-                (|Sequence|
-                    (|Apply| |OneDimensionalArrayAggregate|
-                             |Character|)
-                    (|Declare| |lowerCase| (|Apply| -> (|Comma| %) %))
-                    (|Declare| |lowerCase!| (|Apply| -> (|Comma| %) %))
-                    (|Declare| |upperCase| (|Apply| -> (|Comma| %) %))
-                    ...
-                    (|Declare| |rightTrim|
-                        (|Apply| -> (|Comma| % |CharacterClass|) %))
-                    (|Declare| |apply| (|Apply| -> (|Comma| % %) %))
-                    (|Default|
-                        (|Sequence|
-                            (|Define|
-                                (|Declare| |coerce|
-                                    (|Apply| -> (|Comma| |Character|)
-                                     %))
-                                (|Lambda|
-                                    (|Comma|
-                                     (|Declare| |t#1| |Character|))
-                                    %
-                                    (|Label| |coerce| |dummyDefault|)))
-                            (|Define|
-                                (|Declare| |apply|
-                                    (|Apply| -> (|Comma| % %) %))
-                                (|Lambda|
-                                    (|Comma| (|Declare| |t#1| %)
-                                     (|Declare| |t#2| %))
-                                    % (|Label| |apply| |dummyDefault|)))
-                            (|Define|
-                                (|Declare| |lowerCase|
-                                    (|Apply| -> (|Comma| %) %))
-                                (|Lambda| (|Comma| (|Declare| |t#1| %))
-                                    %
-                                    (|Label| |lowerCase|
-                                     |dummyDefault|)))
-                            ...
-                            ))))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-import dummyDefault: Exit from Foreign Lisp;
-StringAggregate: Category == with {
-    OneDimensionalArrayAggregate Character;
-    lowerCase: % -> %;
-    lowerCase!: % -> %;
-    upperCase: % -> %;
-    ...
-    rightTrim: (%, CharacterClass) -> %;
-    apply: (%, %) -> %
- default {
-   coerce: Character -> % == (t: Character): % +-> dummyDefault;
-   apply: (%, %) -> %     == (t1: %, t2: %): % +-> dummyDefault;
-   lowerCase: % -> %      == (t: %): %         +-> dummyDefault;
-   ...
-}
-\end{verbatim}
-It is important to note that the actual default functions are given by
-a dummy implementation that is imported from LISP.
-
-And again, nothing appears in front of the \verb'with'. No problem
-because that is equivalent to a \verb'Join' in Aldor.
-
-Note that the \verb'elt' function is translated into \verb'apply'.
-\section{Initial Domains without Arguments}
-\label{sec:InitDomain}
-\begin{verbatim}
-SingleInteger(): Join(IntegerNumberSystem,Logic,OpenMath) with
-   canonical
-   canonicalsClosed
-   noetherian
-   max      : () -> %
-   min      : () -> %
-   "not":   % -> %
-   "~"  :   % -> %
-   "/\": (%, %) -> %
-   "\/" : (%, %) -> %
-   "xor": (%, %) -> %
-   Not  : % -> %
-   And  : (%,%) -> %
-   Or   : (%,%) -> %
- == add
-   ...
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Extend|
-        (|Define|
-            (|Declare| |SingleInteger|
-                (|With| NIL
-                        (|Sequence| |IntegerNumberSystem| |Logic|
-                            |OpenMath|
-                            (|RestrictTo| |canonical| |Category|)
-                            (|RestrictTo| |canonicalsClosed|
-                                |Category|)
-                            (|RestrictTo| |noetherian| |Category|)
-                            (|Declare| |max| (|Apply| -> (|Comma|) %))
-                            (|Declare| |min| (|Apply| -> (|Comma|) %))
-                            (|Declare| |not|
-                                (|Apply| -> (|Comma| %) %))
-                            (|Declare| ~ (|Apply| -> (|Comma| %) %))
-                            (|Declare| |/\\|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |\\/|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |xor|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |Not|
-                                (|Apply| -> (|Comma| %) %))
-                            (|Declare| |And|
-                                (|Apply| -> (|Comma| % %) %))
-                            (|Declare| |Or|
-                                (|Apply| -> (|Comma| % %) %)))))
-            (|Add| (|PretendTo| (|Add| NIL NIL)
-                       (|With| NIL
-                               (|Sequence| |IntegerNumberSystem|
-                                   |Logic| |OpenMath|
-                                   (|RestrictTo| |canonical|
-                                    |Category|)
-                                   (|RestrictTo| |canonicalsClosed|
-                                    |Category|)
-                                   (|RestrictTo| |noetherian|
-                                    |Category|)
-                                   (|Declare| |max|
-                                    (|Apply| -> (|Comma|) %))
-                                   (|Declare| |min|
-                                    (|Apply| -> (|Comma|) %))
-                                   (|Declare| |not|
-                                    (|Apply| -> (|Comma| %) %))
-                                   (|Declare| ~
-                                    (|Apply| -> (|Comma| %) %))
-                                   (|Declare| |/\\|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |\\/|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |xor|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |Not|
-                                    (|Apply| -> (|Comma| %) %))
-                                   (|Declare| |And|
-                                    (|Apply| -> (|Comma| % %) %))
-                                   (|Declare| |Or|
-                                    (|Apply| -> (|Comma| % %) %)))))
-                   NIL))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-extend SingleInteger: with {
-        IntegerNumberSystem;
-        Logic;
-        OpenMath;
-        canonical @ Category;
-        canonicalsClosed @ Category;
-        noetherian @ Category;
-        max: () -> %;
-        min: () -> %;
-        _not: % -> %;
-        ~:   % -> %;
-        /\:  (%, %) -> %;
-        \/:  (%, %) -> %;
-        xor: (%, %) -> %;
-        Not: % -> %;
-        And: (%,%) -> %;
-        Or : (%,%) -> %;
-}
- == (add pretend with {
-        IntegerNumberSystem;
-        Logic;
-        OpenMath;
-        canonical @ Category;
-        canonicalsClosed @ Category;
-        noetherian @ Category;
-        max: () -> %;
-        min: () -> %;
-        _not: % -> %;
-        ~:   % -> %;
-        /\:  (%, %) -> %;
-        \/:  (%, %) -> %;
-        xor: (%, %) -> %;
-        Not: % -> %;
-        And: (%,%) -> %;
-        Or : (%,%) -> %;
-}) add;
-\end{verbatim}
-\section{Initial Domains with Arguments}
-\label{sec:ParametrizedInitDomain}
-\begin{verbatim}
-SegmentBinding(S:Type): Type with
-  equation: (Symbol, Segment S) -> %
-  variable: % -> Symbol
-  segment : % -> Segment S
-  if S has SetCategory then SetCategory
- == add
-  Rep := Record(var:Symbol, seg:Segment S)
-  ...
-\end{verbatim}
-It is translated into \ldots
-\begin{verbatim}
-(|Sequence| (|Import| NIL |AxiomLib|) (|Import| NIL |Boolean|)
-    (|Sequence|
-        (|Define|
-            (|Declare| |SegmentBindingExtendCategory|
-                (|Apply| -> (|Declare| |#1| |Type|) |Category|))
-            (|Lambda| (|Comma| (|Declare| |#1| |Type|)) |Category|
-                (|Label| |SegmentBindingExtendCategory|
-                         (|With| NIL
-                                 (|Sequence|
-                                     (|Declare| |equation|
-                                      (|Apply| ->
-                                       (|Comma| |Symbol|
-                                        (|Apply| |Segment| |#1|))
-                                       %))
-                                     (|Declare| |variable|
-                                      (|Apply| -> (|Comma| %) |Symbol|))
-                                     (|Declare| |segment|
-                                      (|Apply| -> (|Comma| %)
-                                       (|Apply| |Segment| |#1|)))
-                                     (|If|
-                                      (|Test|
-                                       (|Has| |#1| |SetCategory|))
-                                      |SetCategory| NIL))))))
-        (|Extend|
-            (|Define|
-                (|Declare| |SegmentBinding|
-                    (|Apply| -> (|Declare| |#1| |Type|)
-                             (|Apply| |SegmentBindingExtendCategory|
-                                      |#1|)))
-                (|Lambda| (|Comma| (|Declare| |#1| |Type|))
-                    (|Apply| |SegmentBindingExtendCategory| |#1|)
-                    (|Label| |SegmentBinding|
-                             (|Add| (|PretendTo| (|Add| NIL NIL)
-                                     (|Apply|
-                                      |SegmentBindingExtendCategory|
-                                      |#1|))
-                                    NIL)))))))
-\end{verbatim}
-That is the parsed source of the Aldor code \ldots
-\begin{verbatim}
-import from AxiomLib;
-import from Boolean;
-SegmentBindingExtendCategory: (S: Type) -> Category ==
-  (T: Type): Category +-> with {
-  equation: (Symbol, Segment S) -> %;
-  variable: % -> Symbol;
-  segment : % -> Segment S;
-  if S has SetCategory then SetCategory;
-}
-extend SegmentBinding: (S: Type) -> SegmentBindingExtendCategory S ==
-  (S: Type): SegmentBindingExtendCategory S +->
-    (add pretend SegmentBindingExtendCategory S) add;
-\end{verbatim}
-The last lines are actually equivalent to
-\begin{verbatim}
-extend SegmentBinding(S: Type): SegmentBindingExtendCategory S ==
-    (add pretend SegmentBindingExtendCategory S) add;
-\end{verbatim}
-
-\section{axFormatPref}
-Here we add an else clause. The original code read:
-\begin{verbatim}
-      if name = '$ then name := '%
-\end{verbatim}
-It appears that Aldor allows a richer syntax for [[has]]
-conditions since the call to [[axFormatOp]] appears to allow
-nested IF conditions.OQ
-\begin{verbatim}
-axFormatPred pred ==
-   atom pred => pred
-   [op,:args] := pred
-   op = 'IF => axFormatOp pred
-   op = 'has =>
-      [name,type] := args
-      if name = '$ then name := '%
-      else name := axFormatOp name
-      ftype := axFormatOp type
-      if ftype is ['Declare,:.] then
-           ftype := ['With, [], ftype]
-      ['Test,['Has,name, ftype]]
-   axArglist := [axFormatPred arg for arg in args]
-   op = 'AND => ['And,:axArglist]
-   op = 'OR  => ['Or,:axArglist]
-   op = 'NOT => ['Not,:axArglist]
-   error "unknown predicate"
-
-\end{verbatim}
-\begin{chunk}{*}
-;$stripTypes := false
-
-(SPADLET |$stripTypes| NIL) 
-;$pretendFlag := false
-
-(SPADLET |$pretendFlag| NIL) 
-
-;$defaultFlag := false
-
-(SPADLET |$defaultFlag| NIL) 
-
-;$baseForms := nil
-
-(SPADLET |$baseForms| NIL) 
-
-;$literals  := nil
-
-(SPADLET |$literals| NIL) 
-
-;spad2AxTranslatorAutoloadOnceTrigger any == true
-
-(defun |spad2AxTranslatorAutoloadOnceTrigger| (|any|) 
- (declare (ignore |any|))
- t)
-
-;sourceFilesToAxFile(filename, sourceFiles) ==
-;  makeAxFile(filename, MAPCAN('fileConstructors, sourceFiles))
-
-(DEFUN |sourceFilesToAxFile| (|filename| |sourceFiles|)
-  (|makeAxFile| |filename| (MAPCAN '|fileConstructors| |sourceFiles|)))
-
-;$extendedDomains := nil
-
-(SPADLET |$extendedDomains| NIL) 
-
-;setExtendedDomains(l) ==
-;        $extendedDomains := l
-
-(DEFUN |setExtendedDomains| (|l|)
- (declare (special |$extendedDomains|))
- (SPADLET |$extendedDomains| |l|))
-
-;fileConstructors name ==
-;   [INTERN(con,"BOOT") for con in SRCABBREVS SOURCEPATH STRING name]
-
-(DEFUN |fileConstructors| (|name|)
-  (PROG ()
-    (RETURN
-      (SEQ (PROG (G166071)
-             (SPADLET G166071 NIL)
-             (RETURN
-               (DO ((G166076
-                        (SRCABBREVS (SOURCEPATH (STRING |name|)))
-                        (CDR G166076))
-                    (|con| NIL))
-                   ((OR (ATOM G166076)
-                        (PROGN (SETQ |con| (CAR G166076)) NIL))
-                    (NREVERSE0 G166071))
-                 (SEQ (EXIT (SETQ G166071
-                                (CONS (INTERN |con| 'BOOT) G166071)))))))))))
-
-;makeAxFile(filename, constructors) ==
-;  $defaultFlag : local := false
-;  $literals := []
-;  axForms :=
-;     [modemapToAx(modemap) for cname in constructors |
-;            (modemap:=GETDATABASE(cname,'CONSTRUCTORMODEMAP)) and
-;              (not cname in '(Tuple Exit Type)) and
-;                not isDefaultPackageName cname]
-;  if $baseForms then
-;     axForms := [:$baseForms, :axForms]
-;  if $defaultFlag then
-;     axForms :=
-;        [['Foreign, ['Declare, 'dummyDefault, 'Exit], 'Lisp], :axForms]
-;  axForms := APPEND(axDoLiterals(), axForms)
-;  axForm := ['Sequence, _
-;               ['Import, [], 'AxiomLib], ['Import, [], 'Boolean], :axForms]
-;  st := MAKE_-OUTSTREAM(filename)
-;  PPRINT(axForm,st)
-;  CLOSE st
-
-(DEFUN |makeAxFile| (|filename| |constructors|)
-  (PROG (|$defaultFlag| |modemap| |axForms| |axForm| |st|)
-    (DECLARE (SPECIAL |$defaultFlag| |$baseForms| |$literals|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$defaultFlag| NIL)
-             (SPADLET |$literals| NIL)
-             (SPADLET |axForms|
-                      (PROG (G166092)
-                        (SPADLET G166092 NIL)
-                        (RETURN
-                          (DO ((G166098 |constructors|
-                                   (CDR G166098))
-                               (|cname| NIL))
-                              ((OR (ATOM G166098)
-                                   (PROGN
-                                     (SETQ |cname| (CAR G166098))
-                                     NIL))
-                               (NREVERSE0 G166092))
-                            (SEQ (EXIT (COND
-                                         ((AND
-                                           (SPADLET |modemap|
-                                            (GETDATABASE |cname|
-                                             'CONSTRUCTORMODEMAP))
-                                           (NULL
-                                            (|member| |cname|
-                                             '(|Tuple| |Exit| |Type|)))
-                                           (NULL
-                                            (|isDefaultPackageName|
-                                             |cname|)))
-                                          (SETQ G166092
-                                           (CONS
-                                            (|modemapToAx| |modemap|)
-                                            G166092))))))))))
-             (COND
-               (|$baseForms|
-                   (SPADLET |axForms| (APPEND |$baseForms| |axForms|))))
-             (COND
-               (|$defaultFlag|
-                   (SPADLET |axForms|
-                            (CONS (CONS '|Foreign|
-                                        (CONS
-                                         (CONS '|Declare|
-                                          (CONS '|dummyDefault|
-                                           (CONS '|Exit| NIL)))
-                                         (CONS '|Lisp| NIL)))
-                                  |axForms|))))
-             (SPADLET |axForms| (APPEND (|axDoLiterals|) |axForms|))
-             (SPADLET |axForm|
-                      (CONS '|Sequence|
-                            (CONS (CONS '|Import|
-                                        (CONS NIL
-                                         (CONS '|AxiomLib| NIL)))
-                                  (CONS (CONS '|Import|
-                                         (CONS NIL
-                                          (CONS '|Boolean| NIL)))
-                                        |axForms|))))
-             (SPADLET |st| (MAKE-OUTSTREAM |filename|))
-             (PPRINT |axForm| |st|)
-             (CLOSE |st|))))))
-
-;makeAxExportForm(filename, constructors) ==
-;  $defaultFlag : local := false
-;  $literals := []
-;  axForms :=
-;     [modemapToAx(modemap) for cname in constructors |
-;            (modemap:=GETDATABASE(cname,'CONSTRUCTORMODEMAP)) and
-;              (not cname in '(Tuple Exit Type)) and
-;                not isDefaultPackageName cname]
-;  if $baseForms then
-;     axForms := [:$baseForms, :axForms]
-;  if $defaultFlag then
-;     axForms :=
-;        [['Foreign, ['Declare, 'dummyDefault, 'Exit], 'Lisp], :axForms]
-;  axForms := APPEND(axDoLiterals(), axForms)
-;  axForm := ['Sequence, _
-;               ['Import, [], 'AxiomLib], ['Import, [], 'Boolean], :axForms]
-;  axForm
-
-(DEFUN |makeAxExportForm| (|filename| |constructors|)
-  (declare (ignore |filename|))
-  (PROG (|$defaultFlag| |modemap| |axForms| |axForm|)
-    (DECLARE (SPECIAL |$defaultFlag| |$baseForms| |$literals|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$defaultFlag| NIL)
-             (SPADLET |$literals| NIL)
-             (SPADLET |axForms|
-                      (PROG (G166125)
-                        (SPADLET G166125 NIL)
-                        (RETURN
-                          (DO ((G166131 |constructors|
-                                   (CDR G166131))
-                               (|cname| NIL))
-                              ((OR (ATOM G166131)
-                                   (PROGN
-                                     (SETQ |cname| (CAR G166131))
-                                     NIL))
-                               (NREVERSE0 G166125))
-                            (SEQ (EXIT (COND
-                                         ((AND
-                                           (SPADLET |modemap|
-                                            (GETDATABASE |cname|
-                                             'CONSTRUCTORMODEMAP))
-                                           (NULL
-                                            (|member| |cname|
-                                             '(|Tuple| |Exit| |Type|)))
-                                           (NULL
-                                            (|isDefaultPackageName|
-                                             |cname|)))
-                                          (SETQ G166125
-                                           (CONS
-                                            (|modemapToAx| |modemap|)
-                                            G166125))))))))))
-             (COND
-               (|$baseForms|
-                   (SPADLET |axForms| (APPEND |$baseForms| |axForms|))))
-             (COND
-               (|$defaultFlag|
-                   (SPADLET |axForms|
-                            (CONS (CONS '|Foreign|
-                                        (CONS
-                                         (CONS '|Declare|
-                                          (CONS '|dummyDefault|
-                                           (CONS '|Exit| NIL)))
-                                         (CONS '|Lisp| NIL)))
-                                  |axForms|))))
-             (SPADLET |axForms| (APPEND (|axDoLiterals|) |axForms|))
-             (SPADLET |axForm|
-                      (CONS '|Sequence|
-                            (CONS (CONS '|Import|
-                                        (CONS NIL
-                                         (CONS '|AxiomLib| NIL)))
-                                  (CONS (CONS '|Import|
-                                         (CONS NIL
-                                          (CONS '|Boolean| NIL)))
-                                        |axForms|))))
-             |axForm|)))))
-
-;stripType type ==
-;  $stripTypes =>
-;     categoryForm? type => 'Type
-;     type
-;  type
-
-(DEFUN |stripType| (|type|)
-  (declare (special |$stripTypes|))
-  (COND
-    (|$stripTypes|
-        (COND ((|categoryForm?| |type|) '|Type|) ('T |type|)))
-    ('T |type|)))
-
-;modemapToAx(modemap) ==
-;  modemap is [[consform, target,:argtypes],.]
-;  consform is [constructor,:args]
-;  argdecls:=['Comma, : [axFormatDecl(a,stripType t) for a in args for t in argtypes]]
-;  resultType :=  axFormatType stripType target
-;  categoryForm? constructor =>
-;      categoryInfo := GETDATABASE(constructor,'CONSTRUCTORCATEGORY)
-;      categoryInfo := SUBLISLIS($FormalMapVariableList, $TriangleVariableList,
-;                       categoryInfo)
-;      NULL args =>
-;          ['Define,['Declare, constructor,'Category],
-;               addDefaults(constructor, axFormatType categoryInfo)]
-;      ['Define,
-;          ['Declare, constructor, ['Apply, "->", optcomma argdecls, 'Category]],
-;           ['Lambda, argdecls, 'Category,
-;             ['Label, constructor,
-;               addDefaults(constructor, axFormatType categoryInfo)]]]
-;  constructor in $extendedDomains =>
-;     NULL args =>
-;        ['Extend, ['Define, ['Declare, constructor, resultType],
-;            ['Add, ['PretendTo, ['Add, [], []], resultType], []]]]
-;     conscat := INTERN(STRCONC(SYMBOL_-NAME(constructor), "ExtendCategory"),"BOOT")
-;     rtype := ['Apply, conscat, :args]
-;--     if resultType is ['With,a,b] then
-;--        if not(b is ['Sequence,:withseq]) then withseq := [b]
-;--        cosigs := rest GETDATABASE(constructor, 'COSIG)
-;--        exportargs := [['Export, [], arg, []] for arg in args for p in cosigs | p]
-;--        resultType := ['With,a,['Sequence,:APPEND(exportargs, withseq)]]
-;     consdef := ['Define,
-;        ['Declare, conscat, ['Apply, "->", optcomma argdecls, 'Category]],
-;          ['Lambda, argdecls, 'Category, ['Label, conscat, resultType]]]
-;     ['Sequence, consdef,
-;      ['Extend, ['Define,
-;        ['Declare, constructor, ['Apply, "->", optcomma argdecls, rtype]],
-;          ['Lambda, argdecls, rtype,
-;            ['Label, constructor,
-;                ['Add, ['PretendTo, ['Add, [], []], rtype], []]]]]]]
-;  NULL args =>
-;     ['Export, ['Declare, constructor, resultType],[],[]]
-;--  if resultType is ['With,a,b] then
-;--     if not(b is ['Sequence,:withseq]) then withseq := [b]
-;--     cosigs := rest GETDATABASE(constructor, 'COSIG)
-;--     exportargs := [['Export, [], arg, []] for arg in args for p in cosigs | p]
-;--     resultType := ['With,a,['Sequence,:APPEND(exportargs, withseq)]]
-;  ['Export, ['Declare, constructor, ['Apply, "->", optcomma argdecls, resultType]],[],[]]
-
-(DEFUN |modemapToAx| (|modemap|)
-  (PROG (|ISTMP#1| |consform| |ISTMP#2| |target| |argtypes| |ISTMP#3|
-            |constructor| |args| |argdecls| |resultType| |categoryInfo|
-            |conscat| |rtype| |consdef|)
-  (declare (special |$extendedDomains| |$TriangleVariableList|
-                    |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (AND (PAIRP |modemap|)
-                  (PROGN
-                    (SPADLET |ISTMP#1| (QCAR |modemap|))
-                    (AND (PAIRP |ISTMP#1|)
-                         (PROGN
-                           (SPADLET |consform| (QCAR |ISTMP#1|))
-                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                           (AND (PAIRP |ISTMP#2|)
-                                (PROGN
-                                  (SPADLET |target| (QCAR |ISTMP#2|))
-                                  (SPADLET |argtypes| (QCDR |ISTMP#2|))
-                                  'T)))))
-                  (PROGN
-                    (SPADLET |ISTMP#3| (QCDR |modemap|))
-                    (AND (PAIRP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL))))
-             (AND (PAIRP |consform|)
-                  (PROGN
-                    (SPADLET |constructor| (QCAR |consform|))
-                    (SPADLET |args| (QCDR |consform|))
-                    'T))
-             (SPADLET |argdecls|
-                      (CONS '|Comma|
-                            (PROG (G166191)
-                              (SPADLET G166191 NIL)
-                              (RETURN
-                                (DO ((G166197 |args| (CDR G166197))
-                                     (|a| NIL)
-                                     (G166198 |argtypes|
-                                      (CDR G166198))
-                                     (|t| NIL))
-                                    ((OR (ATOM G166197)
-                                      (PROGN
-                                        (SETQ |a| (CAR G166197))
-                                        NIL)
-                                      (ATOM G166198)
-                                      (PROGN
-                                        (SETQ |t| (CAR G166198))
-                                        NIL))
-                                     (NREVERSE0 G166191))
-                                  (SEQ (EXIT
-                                        (SETQ G166191
-                                         (CONS
-                                          (|axFormatDecl| |a|
-                                           (|stripType| |t|))
-                                          G166191)))))))))
-             (SPADLET |resultType|
-                      (|axFormatType| (|stripType| |target|)))
-             (COND
-               ((|categoryForm?| |constructor|)
-                (SPADLET |categoryInfo|
-                         (GETDATABASE |constructor|
-                             'CONSTRUCTORCATEGORY))
-                (SPADLET |categoryInfo|
-                         (SUBLISLIS |$FormalMapVariableList|
-                             |$TriangleVariableList| |categoryInfo|))
-                (COND
-                  ((NULL |args|)
-                   (CONS '|Define|
-                         (CONS (CONS '|Declare|
-                                     (CONS |constructor|
-                                      (CONS '|Category| NIL)))
-                               (CONS (|addDefaults| |constructor|
-                                      (|axFormatType| |categoryInfo|))
-                                     NIL))))
-                  ('T
-                   (CONS '|Define|
-                         (CONS (CONS '|Declare|
-                                     (CONS |constructor|
-                                      (CONS
-                                       (CONS '|Apply|
-                                        (CONS '->
-                                         (CONS (|optcomma| |argdecls|)
-                                          (CONS '|Category| NIL))))
-                                       NIL)))
-                               (CONS (CONS '|Lambda|
-                                      (CONS |argdecls|
-                                       (CONS '|Category|
-                                        (CONS
-                                         (CONS '|Label|
-                                          (CONS |constructor|
-                                           (CONS
-                                            (|addDefaults|
-                                             |constructor|
-                                             (|axFormatType|
-                                              |categoryInfo|))
-                                            NIL)))
-                                         NIL))))
-                                     NIL))))))
-               ((|member| |constructor| |$extendedDomains|)
-                (COND
-                  ((NULL |args|)
-                   (CONS '|Extend|
-                         (CONS (CONS '|Define|
-                                     (CONS
-                                      (CONS '|Declare|
-                                       (CONS |constructor|
-                                        (CONS |resultType| NIL)))
-                                      (CONS
-                                       (CONS '|Add|
-                                        (CONS
-                                         (CONS '|PretendTo|
-                                          (CONS
-                                           (CONS '|Add|
-                                            (CONS NIL (CONS NIL NIL)))
-                                           (CONS |resultType| NIL)))
-                                         (CONS NIL NIL)))
-                                       NIL)))
-                               NIL)))
-                  ('T
-                   (SPADLET |conscat|
-                            (INTERN (STRCONC
-                                     (SYMBOL-NAME |constructor|)
-                                     '|ExtendCategory|)
-                                    'BOOT))
-                   (SPADLET |rtype|
-                            (CONS '|Apply| (CONS |conscat| |args|)))
-                   (SPADLET |consdef|
-                            (CONS '|Define|
-                                  (CONS (CONS '|Declare|
-                                         (CONS |conscat|
-                                          (CONS
-                                           (CONS '|Apply|
-                                            (CONS '->
-                                             (CONS
-                                              (|optcomma| |argdecls|)
-                                              (CONS '|Category| NIL))))
-                                           NIL)))
-                                        (CONS
-                                         (CONS '|Lambda|
-                                          (CONS |argdecls|
-                                           (CONS '|Category|
-                                            (CONS
-                                             (CONS '|Label|
-                                              (CONS |conscat|
-                                               (CONS |resultType| NIL)))
-                                             NIL))))
-                                         NIL))))
-                   (CONS '|Sequence|
-                         (CONS |consdef|
-                               (CONS (CONS '|Extend|
-                                      (CONS
-                                       (CONS '|Define|
-                                        (CONS
-                                         (CONS '|Declare|
-                                          (CONS |constructor|
-                                           (CONS
-                                            (CONS '|Apply|
-                                             (CONS '->
-                                              (CONS
-                                               (|optcomma| |argdecls|)
-                                               (CONS |rtype| NIL))))
-                                            NIL)))
-                                         (CONS
-                                          (CONS '|Lambda|
-                                           (CONS |argdecls|
-                                            (CONS |rtype|
-                                             (CONS
-                                              (CONS '|Label|
-                                               (CONS |constructor|
-                                                (CONS
-                                                 (CONS '|Add|
-                                                  (CONS
-                                                   (CONS '|PretendTo|
-                                                    (CONS
-                                                     (CONS '|Add|
-                                                      (CONS NIL
-                                                       (CONS NIL NIL)))
-                                                     (CONS |rtype| NIL)))
-                                                   (CONS NIL NIL)))
-                                                 NIL)))
-                                              NIL))))
-                                          NIL)))
-                                       NIL))
-                                     NIL))))))
-               ((NULL |args|)
-                (CONS '|Export|
-                      (CONS (CONS '|Declare|
-                                  (CONS |constructor|
-                                        (CONS |resultType| NIL)))
-                            (CONS NIL (CONS NIL NIL)))))
-               ('T
-                (CONS '|Export|
-                      (CONS (CONS '|Declare|
-                                  (CONS |constructor|
-                                        (CONS
-                                         (CONS '|Apply|
-                                          (CONS '->
-                                           (CONS
-                                            (|optcomma| |argdecls|)
-                                            (CONS |resultType| NIL))))
-                                         NIL)))
-                            (CONS NIL (CONS NIL NIL)))))))))))
-
-;optcomma [op,:args] ==
-;   # args = 1 => first args
-;   [op,:args]
-
-(DEFUN |optcomma| (G166227)
-  (PROG (|op| |args|)
-    (RETURN
-      (PROGN
-        (SPADLET |op| (CAR G166227))
-        (SPADLET |args| (CDR G166227))
-        (COND
-          ((EQL (|#| |args|) 1) (CAR |args|))
-          ('T (CONS |op| |args|)))))))
-
-;axFormatDecl(sym, type) ==
-;   if sym = '$ then sym := '%
-;   opOf type in '(StreamAggregate FiniteLinearAggregate) =>
-;        ['Declare, sym, 'Type]
-;   ['Declare, sym, axFormatType type]
-
-(DEFUN |axFormatDecl| (|sym| |type|)
-  (PROGN
-    (COND ((BOOT-EQUAL |sym| '$) (SPADLET |sym| '%)))
-    (COND
-      ((|member| (|opOf| |type|)
-           '(|StreamAggregate| |FiniteLinearAggregate|))
-       (CONS '|Declare| (CONS |sym| (CONS '|Type| NIL))))
-      ('T
-       (CONS '|Declare|
-             (CONS |sym| (CONS (|axFormatType| |type|) NIL)))))))
-
-;makeTypeSequence l ==
-;   ['Sequence,: delete('Type, l)]
-
-(DEFUN |makeTypeSequence| (|l|)
-  (CONS '|Sequence| (|delete| '|Type| |l|)))
-
-;axFormatAttrib(typeform) ==
-;  atom typeform => typeform
-;  axFormatType typeform
-
-(DEFUN |axFormatAttrib| (|typeform|)
-  (COND
-    ((ATOM |typeform|) |typeform|)
-    ('T (|axFormatType| |typeform|))))
-
-;axFormatType(typeform) ==
-;  atom typeform =>
-;     typeform = '$ => '%
-;     STRINGP typeform =>
-;        ['Apply,'Enumeration, INTERN typeform]
-;     INTEGERP typeform =>
-;       -- need to test for PositiveInteger vs Integer
-;        axAddLiteral('integer, 'PositiveInteger, 'Literal)
-;        ['RestrictTo, ['LitInteger, STRINGIMAGE typeform ], 'PositiveInteger]
-;     FLOATP typeform => ['LitFloat, STRINGIMAGE typeform]
-;     MEMQ(typeform,$TriangleVariableList) =>
-;        SUBLISLIS($FormalMapVariableList, $TriangleVariableList, typeform)
-;     MEMQ(typeform, $FormalMapVariableList) => typeform
-;     axAddLiteral('string, 'Symbol, 'Literal)
-;     ['RestrictTo, ['LitString, PNAME typeform], 'Symbol]
-;  typeform is ['construct,: args] =>
-;      axAddLiteral('bracket, ['Apply, 'List, 'Symbol], [ 'Apply, 'Tuple, 'Symbol])
-;      axAddLiteral('string, 'Symbol, 'Literal)
-;      ['RestrictTo, ['Apply, 'bracket,
-;                        :[axFormatType a for a in args]],
-;                          ['Apply, 'List, 'Symbol] ]
-;  typeform is [op] =>
-;    op = '$ => '%
-;    op = 'Void => ['Comma]
-;    op
-;  typeform is ['local, val] => axFormatType val
-;  typeform is ['QUOTE, val] => axFormatType val
-;  typeform is ['Join,:cats,lastcat] =>
-;      lastcat is ['CATEGORY,type,:ops] =>
-;         ['With, [],
-;            makeTypeSequence(
-;               APPEND([axFormatType c for c in cats],
-;                        [axFormatOp op for op in ops]))]
-;      ['With, [], makeTypeSequence([axFormatType c for c in rest typeform])]
-;  typeform is ['CATEGORY, type, :ops] =>
-;      ['With, [],  axFormatOpList ops]
-;  typeform is ['Mapping, target, :argtypes] =>
-;      ['Apply, "->",
-;               ['Comma, :[axFormatType t for t in argtypes]],
-;                axFormatType target]
-;  typeform is ['_:, name, type] => axFormatDecl(name,type)
-;  typeform is ['Union, :args] =>
-;      first args is ['_:,.,.] =>
-;         ['Apply, 'Union, :[axFormatType a for a in args]]
-;      taglist := []
-;      valueCount := 0
-;      for x in args repeat
-;          tag :=
-;            STRINGP x => INTERN x
-;            x is ['QUOTE,val] and STRINGP val => INTERN val
-;            valueCount := valueCount + 1
-;            INTERNL("value", STRINGIMAGE valueCount)
-;          taglist := [tag ,: taglist]
-;      ['Apply, 'Union, :[axFormatDecl(name,type) for name in reverse taglist
-;                                for type in args]]
-;  typeform is ['Dictionary,['Record,:args]] =>
-;      ['Apply, 'Dictionary,
-;          ['PretendTo, axFormatType CADR typeform, 'SetCategory]]
-;  typeform is ['FileCategory,xx,['Record,:args]] =>
-;      ['Apply, 'FileCategory, axFormatType xx,
-;          ['PretendTo, axFormatType CADDR typeform, 'SetCategory]]
-;  typeform is [op,:args] =>
-;      $pretendFlag and constructor? op and
-;        GETDATABASE(op,'CONSTRUCTORMODEMAP) is [[.,target,:argtypes],.] =>
-;          ['Apply, op,
-;               :[['PretendTo, axFormatType a, axFormatType t]
-;                     for a in args for t in argtypes]]
-;      MEMQ(op, '(SquareMatrix SquareMatrixCategory DirectProduct
-;         DirectProductCategory RadixExpansion)) and
-;            GETDATABASE(op,'CONSTRUCTORMODEMAP) is [[.,target,arg1type,:restargs],.] =>
-;               ['Apply, op,
-;                  ['PretendTo, axFormatType first args, axFormatType arg1type],
-;                     :[axFormatType a for a in rest args]]
-;      ['Apply, op, :[axFormatType a for a in args]]
-;  error "unknown entry type"
-
-(DEFUN |axFormatType| (|typeform|)
-  (PROG (|lastcat| |cats| |ops| |name| |type| |val| |valueCount| |tag|
-            |taglist| |xx| |op| |args| |argtypes| |ISTMP#1| |ISTMP#2|
-            |ISTMP#3| |target| |ISTMP#4| |arg1type| |restargs|
-            |ISTMP#5|)
-  (declare (special |$pretendFlag| |$FormalMapVariableList|
-                    |$TriangleVariableList|))
-    (RETURN
-      (SEQ (COND
-             ((ATOM |typeform|)
-              (COND
-                ((BOOT-EQUAL |typeform| '$) '%)
-                ((STRINGP |typeform|)
-                 (CONS '|Apply|
-                       (CONS '|Enumeration|
-                             (CONS (INTERN |typeform|) NIL))))
-                ((INTEGERP |typeform|)
-                 (|axAddLiteral| '|integer| '|PositiveInteger|
-                     '|Literal|)
-                 (CONS '|RestrictTo|
-                       (CONS (CONS '|LitInteger|
-                                   (CONS (STRINGIMAGE |typeform|) NIL))
-                             (CONS '|PositiveInteger| NIL))))
-                ((FLOATP |typeform|)
-                 (CONS '|LitFloat| (CONS (STRINGIMAGE |typeform|) NIL)))
-                ((member |typeform| |$TriangleVariableList|)
-                 (SUBLISLIS |$FormalMapVariableList|
-                     |$TriangleVariableList| |typeform|))
-                ((member |typeform| |$FormalMapVariableList|) |typeform|)
-                ('T (|axAddLiteral| '|string| '|Symbol| '|Literal|)
-                 (CONS '|RestrictTo|
-                       (CONS (CONS '|LitString|
-                                   (CONS (PNAME |typeform|) NIL))
-                             (CONS '|Symbol| NIL))))))
-             ((AND (PAIRP |typeform|)
-                   (EQ (QCAR |typeform|) '|construct|)
-                   (PROGN (SPADLET |args| (QCDR |typeform|)) 'T))
-              (|axAddLiteral| '|bracket|
-                  (CONS '|Apply| (CONS '|List| (CONS '|Symbol| NIL)))
-                  (CONS '|Apply| (CONS '|Tuple| (CONS '|Symbol| NIL))))
-              (|axAddLiteral| '|string| '|Symbol| '|Literal|)
-              (CONS '|RestrictTo|
-                    (CONS (CONS '|Apply|
-                                (CONS '|bracket|
-                                      (PROG (G166458)
-                                        (SPADLET G166458 NIL)
-                                        (RETURN
-                                          (DO
-                                           ((G166463 |args|
-                                             (CDR G166463))
-                                            (|a| NIL))
-                                           ((OR (ATOM G166463)
-                                             (PROGN
-                                               (SETQ |a|
-                                                (CAR G166463))
-                                               NIL))
-                                            (NREVERSE0 G166458))
-                                            (SEQ
-                                             (EXIT
-                                              (SETQ G166458
-                                               (CONS
-                                                (|axFormatType| |a|)
-                                                G166458)))))))))
-                          (CONS (CONS '|Apply|
-                                      (CONS '|List|
-                                       (CONS '|Symbol| NIL)))
-                                NIL))))
-             ((AND (PAIRP |typeform|) (EQ (QCDR |typeform|) NIL)
-                   (PROGN (SPADLET |op| (QCAR |typeform|)) 'T))
-              (COND
-                ((BOOT-EQUAL |op| '$) '%)
-                ((BOOT-EQUAL |op| '|Void|) (CONS '|Comma| NIL))
-                ('T |op|)))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) '|local|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN (SPADLET |val| (QCAR |ISTMP#1|)) 'T))))
-              (|axFormatType| |val|))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) 'QUOTE)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN (SPADLET |val| (QCAR |ISTMP#1|)) 'T))))
-              (|axFormatType| |val|))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) '|Join|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
-                            'T)
-                          (PAIRP |ISTMP#2|)
-                          (PROGN
-                            (SPADLET |lastcat| (QCAR |ISTMP#2|))
-                            (SPADLET |cats| (QCDR |ISTMP#2|))
-                            'T)
-                          (PROGN
-                            (SPADLET |cats| (NREVERSE |cats|))
-                            'T))))
-              (COND
-                ((AND (PAIRP |lastcat|) (EQ (QCAR |lastcat|) 'CATEGORY)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |lastcat|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |type| (QCAR |ISTMP#1|))
-                               (SPADLET |ops| (QCDR |ISTMP#1|))
-                               'T))))
-                 (CONS '|With|
-                       (CONS NIL
-                             (CONS (|makeTypeSequence|
-                                    (APPEND
-                                     (PROG (G166473)
-                                       (SPADLET G166473 NIL)
-                                       (RETURN
-                                         (DO
-                                          ((G166478 |cats|
-                                            (CDR G166478))
-                                           (|c| NIL))
-                                          ((OR (ATOM G166478)
-                                            (PROGN
-                                              (SETQ |c|
-                                               (CAR G166478))
-                                              NIL))
-                                           (NREVERSE0 G166473))
-                                           (SEQ
-                                            (EXIT
-                                             (SETQ G166473
-                                              (CONS
-                                               (|axFormatType| |c|)
-                                               G166473)))))))
-                                     (PROG (G166488)
-                                       (SPADLET G166488 NIL)
-                                       (RETURN
-                                         (DO
-                                          ((G166493 |ops|
-                                            (CDR G166493))
-                                           (|op| NIL))
-                                          ((OR (ATOM G166493)
-                                            (PROGN
-                                              (SETQ |op|
-                                               (CAR G166493))
-                                              NIL))
-                                           (NREVERSE0 G166488))
-                                           (SEQ
-                                            (EXIT
-                                             (SETQ G166488
-                                              (CONS (|axFormatOp| |op|)
-                                               G166488)))))))))
-                                   NIL))))
-                ('T
-                 (CONS '|With|
-                       (CONS NIL
-                             (CONS (|makeTypeSequence|
-                                    (PROG (G166503)
-                                      (SPADLET G166503 NIL)
-                                      (RETURN
-                                        (DO
-                                         ((G166508 (CDR |typeform|)
-                                           (CDR G166508))
-                                          (|c| NIL))
-                                         ((OR (ATOM G166508)
-                                           (PROGN
-                                             (SETQ |c| (CAR G166508))
-                                             NIL))
-                                          (NREVERSE0 G166503))
-                                          (SEQ
-                                           (EXIT
-                                            (SETQ G166503
-                                             (CONS (|axFormatType| |c|)
-                                              G166503))))))))
-                                   NIL))))))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) 'CATEGORY)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |type| (QCAR |ISTMP#1|))
-                            (SPADLET |ops| (QCDR |ISTMP#1|))
-                            'T))))
-              (CONS '|With|
-                    (CONS NIL (CONS (|axFormatOpList| |ops|) NIL))))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) '|Mapping|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |target| (QCAR |ISTMP#1|))
-                            (SPADLET |argtypes| (QCDR |ISTMP#1|))
-                            'T))))
-              (CONS '|Apply|
-                    (CONS '->
-                          (CONS (CONS '|Comma|
-                                      (PROG (G166518)
-                                        (SPADLET G166518 NIL)
-                                        (RETURN
-                                          (DO
-                                           ((G166523 |argtypes|
-                                             (CDR G166523))
-                                            (|t| NIL))
-                                           ((OR (ATOM G166523)
-                                             (PROGN
-                                               (SETQ |t|
-                                                (CAR G166523))
-                                               NIL))
-                                            (NREVERSE0 G166518))
-                                            (SEQ
-                                             (EXIT
-                                              (SETQ G166518
-                                               (CONS
-                                                (|axFormatType| |t|)
-                                                G166518))))))))
-                                (CONS (|axFormatType| |target|) NIL)))))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) '|:|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |name| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |type| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (|axFormatDecl| |name| |type|))
-             ((AND (PAIRP |typeform|) (EQ (QCAR |typeform|) '|Union|)
-                   (PROGN (SPADLET |args| (QCDR |typeform|)) 'T))
-              (COND
-                ((PROGN
-                   (SPADLET |ISTMP#1| (CAR |args|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
-                        (PROGN
-                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
-                               (PROGN
-                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCDR |ISTMP#3|) NIL)))))))
-                 (CONS '|Apply|
-                       (CONS '|Union|
-                             (PROG (G166533)
-                               (SPADLET G166533 NIL)
-                               (RETURN
-                                 (DO ((G166538 |args|
-                                       (CDR G166538))
-                                      (|a| NIL))
-                                     ((OR (ATOM G166538)
-                                       (PROGN
-                                         (SETQ |a| (CAR G166538))
-                                         NIL))
-                                      (NREVERSE0 G166533))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166533
-                                      (CONS (|axFormatType| |a|)
-                                       G166533))))))))))
-                ('T (SPADLET |taglist| NIL) (SPADLET |valueCount| 0)
-                 (DO ((G166553 |args| (CDR G166553)) (|x| NIL))
-                     ((OR (ATOM G166553)
-                          (PROGN (SETQ |x| (CAR G166553)) NIL))
-                      NIL)
-                   (SEQ (EXIT (PROGN
-                                (SPADLET |tag|
-                                         (COND
-                                           ((STRINGP |x|) (INTERN |x|))
-                                           ((AND (PAIRP |x|)
-                                             (EQ (QCAR |x|) 'QUOTE)
-                                             (PROGN
-                                               (SPADLET |ISTMP#1|
-                                                (QCDR |x|))
-                                               (AND (PAIRP |ISTMP#1|)
-                                                (EQ (QCDR |ISTMP#1|)
-                                                 NIL)
-                                                (PROGN
-                                                  (SPADLET |val|
-                                                   (QCAR |ISTMP#1|))
-                                                  'T)))
-                                             (STRINGP |val|))
-                                            (INTERN |val|))
-                                           ('T
-                                            (SPADLET |valueCount|
-                                             (PLUS |valueCount| 1))
-                                            (INTERNL '|value|
-                                             (STRINGIMAGE |valueCount|)))))
-                                (SPADLET |taglist|
-                                         (CONS |tag| |taglist|))))))
-                 (CONS '|Apply|
-                       (CONS '|Union|
-                             (PROG (G166564)
-                               (SPADLET G166564 NIL)
-                               (RETURN
-                                 (DO ((G166570 (REVERSE |taglist|)
-                                       (CDR G166570))
-                                      (|name| NIL)
-                                      (G166571 |args|
-                                       (CDR G166571))
-                                      (|type| NIL))
-                                     ((OR (ATOM G166570)
-                                       (PROGN
-                                         (SETQ |name| (CAR G166570))
-                                         NIL)
-                                       (ATOM G166571)
-                                       (PROGN
-                                         (SETQ |type| (CAR G166571))
-                                         NIL))
-                                      (NREVERSE0 G166564))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166564
-                                      (CONS
-                                       (|axFormatDecl| |name| |type|)
-                                       G166564))))))))))))
-             ((AND (PAIRP |typeform|)
-                   (EQ (QCAR |typeform|) '|Dictionary|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCAR |ISTMP#2|) '|Record|)
-                                 (PROGN
-                                   (SPADLET |args| (QCDR |ISTMP#2|))
-                                   'T))))))
-              (CONS '|Apply|
-                    (CONS '|Dictionary|
-                          (CONS (CONS '|PretendTo|
-                                      (CONS
-                                       (|axFormatType|
-                                        (CADR |typeform|))
-                                       (CONS '|SetCategory| NIL)))
-                                NIL))))
-             ((AND (PAIRP |typeform|)
-                   (EQ (QCAR |typeform|) '|FileCategory|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |typeform|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |xx| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
-                                    (EQ (QCAR |ISTMP#3|) '|Record|)
-                                    (PROGN
-                                      (SPADLET |args| (QCDR |ISTMP#3|))
-                                      'T))))))))
-              (CONS '|Apply|
-                    (CONS '|FileCategory|
-                          (CONS (|axFormatType| |xx|)
-                                (CONS (CONS '|PretendTo|
-                                       (CONS
-                                        (|axFormatType|
-                                         (CADDR |typeform|))
-                                        (CONS '|SetCategory| NIL)))
-                                      NIL)))))
-             ((AND (PAIRP |typeform|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |typeform|))
-                     (SPADLET |args| (QCDR |typeform|))
-                     'T))
-              (COND
-                ((AND |$pretendFlag| (|constructor?| |op|)
-                      (PROGN
-                        (SPADLET |ISTMP#1|
-                                 (GETDATABASE |op| 'CONSTRUCTORMODEMAP))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#3|
-                                       (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
-                                       (PROGN
-                                         (SPADLET |target|
-                                          (QCAR |ISTMP#3|))
-                                         (SPADLET |argtypes|
-                                          (QCDR |ISTMP#3|))
-                                         'T)))))
-                             (PROGN
-                               (SPADLET |ISTMP#4| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#4|)
-                                    (EQ (QCDR |ISTMP#4|) NIL))))))
-                 (CONS '|Apply|
-                       (CONS |op|
-                             (PROG (G166585)
-                               (SPADLET G166585 NIL)
-                               (RETURN
-                                 (DO ((G166591 |args|
-                                       (CDR G166591))
-                                      (|a| NIL)
-                                      (G166592 |argtypes|
-                                       (CDR G166592))
-                                      (|t| NIL))
-                                     ((OR (ATOM G166591)
-                                       (PROGN
-                                         (SETQ |a| (CAR G166591))
-                                         NIL)
-                                       (ATOM G166592)
-                                       (PROGN
-                                         (SETQ |t| (CAR G166592))
-                                         NIL))
-                                      (NREVERSE0 G166585))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166585
-                                      (CONS
-                                       (CONS '|PretendTo|
-                                        (CONS (|axFormatType| |a|)
-                                         (CONS (|axFormatType| |t|)
-                                          NIL)))
-                                       G166585))))))))))
-                ((AND (member |op|
-                            '(|SquareMatrix| |SquareMatrixCategory|
-                                 |DirectProduct|
-                                 |DirectProductCategory|
-                                 |RadixExpansion|))
-                      (PROGN
-                        (SPADLET |ISTMP#1|
-                                 (GETDATABASE |op| 'CONSTRUCTORMODEMAP))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#3|
-                                       (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
-                                       (PROGN
-                                         (SPADLET |target|
-                                          (QCAR |ISTMP#3|))
-                                         (SPADLET |ISTMP#4|
-                                          (QCDR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
-                                          (PROGN
-                                            (SPADLET |arg1type|
-                                             (QCAR |ISTMP#4|))
-                                            (SPADLET |restargs|
-                                             (QCDR |ISTMP#4|))
-                                            'T)))))))
-                             (PROGN
-                               (SPADLET |ISTMP#5| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#5|)
-                                    (EQ (QCDR |ISTMP#5|) NIL))))))
-                 (CONS '|Apply|
-                       (CONS |op|
-                             (CONS (CONS '|PretendTo|
-                                    (CONS (|axFormatType| (CAR |args|))
-                                     (CONS (|axFormatType| |arg1type|)
-                                      NIL)))
-                                   (PROG (G166605)
-                                     (SPADLET G166605 NIL)
-                                     (RETURN
-                                       (DO
-                                        ((G166610 (CDR |args|)
-                                          (CDR G166610))
-                                         (|a| NIL))
-                                        ((OR (ATOM G166610)
-                                          (PROGN
-                                            (SETQ |a| (CAR G166610))
-                                            NIL))
-                                         (NREVERSE0 G166605))
-                                         (SEQ
-                                          (EXIT
-                                           (SETQ G166605
-                                            (CONS (|axFormatType| |a|)
-                                             G166605)))))))))))
-                ('T
-                 (CONS '|Apply|
-                       (CONS |op|
-                             (PROG (G166620)
-                               (SPADLET G166620 NIL)
-                               (RETURN
-                                 (DO ((G166625 |args|
-                                       (CDR G166625))
-                                      (|a| NIL))
-                                     ((OR (ATOM G166625)
-                                       (PROGN
-                                         (SETQ |a| (CAR G166625))
-                                         NIL))
-                                      (NREVERSE0 G166620))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166620
-                                      (CONS (|axFormatType| |a|)
-                                       G166620))))))))))))
-             ('T (|error| '|unknown entry type|)))))))
-
-;axFormatOpList ops == ['Sequence,:[axFormatOp o for o in ops]]
-
-(DEFUN |axFormatOpList| (|ops|)
-  (PROG ()
-    (RETURN
-      (SEQ (CONS '|Sequence|
-                 (PROG (G166707)
-                   (SPADLET G166707 NIL)
-                   (RETURN
-                     (DO ((G166712 |ops| (CDR G166712)) (|o| NIL))
-                         ((OR (ATOM G166712)
-                              (PROGN (SETQ |o| (CAR G166712)) NIL))
-                          (NREVERSE0 G166707))
-                       (SEQ (EXIT (SETQ G166707
-                                        (CONS (|axFormatOp| |o|)
-                                         G166707))))))))))))
-
-;axOpTran(name) ==
-;   ATOM name =>
-;      name = 'elt => 'apply
-;      name = 'setelt => 'set!
-;      name = 'SEGMENT => ".."
-;      name = 1 => '_1
-;      name = 0 => '_0
-;      name
-;   opOf name = 'Zero => '_0
-;   opOf name = 'One => '_1
-;   error "bad op name"
-
-(DEFUN |axOpTran| (|name|)
-  (COND
-    ((ATOM |name|)
-     (COND
-       ((BOOT-EQUAL |name| '|elt|) '|apply|)
-       ((BOOT-EQUAL |name| '|setelt|) '|set!|)
-       ((BOOT-EQUAL |name| 'SEGMENT) (INTERN ".." "BOOT"))
-       ((EQL |name| 1) '|1|)
-       ((EQL |name| 0) '|0|)
-       ('T |name|)))
-    ((BOOT-EQUAL (|opOf| |name|) '|Zero|) '|0|)
-    ((BOOT-EQUAL (|opOf| |name|) '|One|) '|1|)
-    ('T (|error| '|bad op name|))))
-
-;axFormatOpSig(name, [result,:argtypes]) ==
-;   ['Declare, axOpTran name,
-;         ['Apply, "->", ['Comma, :[axFormatType t for t in argtypes]],
-;                        axFormatType result]]
-
-(DEFUN |axFormatOpSig| (|name| G166727)
-  (PROG (|result| |argtypes|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |result| (CAR G166727))
-             (SPADLET |argtypes| (CDR G166727))
-             (CONS '|Declare|
-                   (CONS (|axOpTran| |name|)
-                         (CONS (CONS '|Apply|
-                                     (CONS '->
-                                      (CONS
-                                       (CONS '|Comma|
-                                        (PROG (G166740)
-                                          (SPADLET G166740 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((G166745 |argtypes|
-                                               (CDR G166745))
-                                              (|t| NIL))
-                                             ((OR (ATOM G166745)
-                                               (PROGN
-                                                 (SETQ |t|
-                                                  (CAR G166745))
-                                                 NIL))
-                                              (NREVERSE0 G166740))
-                                              (SEQ
-                                               (EXIT
-                                                (SETQ G166740
-                                                 (CONS
-                                                  (|axFormatType| |t|)
-                                                  G166740))))))))
-                                       (CONS (|axFormatType| |result|)
-                                        NIL))))
-                               NIL))))))))
-
-;axFormatConstantOp(name, [result]) ==
-;   ['Declare, axOpTran name, axFormatType result]
-
-(DEFUN |axFormatConstantOp| (|name| G166757)
-  (PROG (|result|)
-    (RETURN
-      (PROGN
-        (SPADLET |result| (CAR G166757))
-        (CONS '|Declare|
-              (CONS (|axOpTran| |name|)
-                    (CONS (|axFormatType| |result|) NIL)))))))
-
-;axFormatPred pred ==
-;   atom pred => pred
-;   [op,:args] := pred
-;   op = 'IF => axFormatOp pred
-;   op = 'has =>
-;      [name,type] := args
-;      if name = '$ then name := '%
-;      else name := axFormatOp name
-;      ftype := axFormatOp type
-;      if ftype is ['Declare,:.] then
-;           ftype := ['With, [], ftype]
-;      ['Test,['Has,name, ftype]]
-;   axArglist := [axFormatPred arg for arg in args]
-;   op = 'AND => ['And,:axArglist]
-;   op = 'OR  => ['Or,:axArglist]
-;   op = 'NOT => ['Not,:axArglist]
-;   error "unknown predicate"
-
-(DEFUN |axFormatPred| (|pred|)
-  (PROG (|op| |args| |type| |name| |ftype| |axArglist|)
-    (RETURN
-      (SEQ (COND
-             ((ATOM |pred|) |pred|)
-             ('T (SPADLET |op| (CAR |pred|))
-              (SPADLET |args| (CDR |pred|))
-              (COND
-                ((BOOT-EQUAL |op| 'IF) (|axFormatOp| |pred|))
-                ((BOOT-EQUAL |op| '|has|) (SPADLET |name| (CAR |args|))
-                 (SPADLET |type| (CADR |args|))
-                 (COND
-                   ((BOOT-EQUAL |name| '$) (SPADLET |name| '%))
-                   ('T (SPADLET |name| (|axFormatOp| |name|))))
-                 (SPADLET |ftype| (|axFormatOp| |type|))
-                 (COND
-                   ((AND (PAIRP |ftype|)
-                         (EQ (QCAR |ftype|) '|Declare|))
-                    (SPADLET |ftype|
-                             (CONS '|With|
-                                   (CONS NIL (CONS |ftype| NIL))))))
-                 (CONS '|Test|
-                       (CONS (CONS '|Has|
-                                   (CONS |name| (CONS |ftype| NIL)))
-                             NIL)))
-                ('T
-                 (SPADLET |axArglist|
-                          (PROG (G166780)
-                            (SPADLET G166780 NIL)
-                            (RETURN
-                              (DO ((G166785 |args| (CDR G166785))
-                                   (|arg| NIL))
-                                  ((OR (ATOM G166785)
-                                    (PROGN
-                                      (SETQ |arg| (CAR G166785))
-                                      NIL))
-                                   (NREVERSE0 G166780))
-                                (SEQ (EXIT
-                                      (SETQ G166780
-                                       (CONS (|axFormatPred| |arg|)
-                                        G166780))))))))
-                 (COND
-                   ((BOOT-EQUAL |op| 'AND) (CONS '|And| |axArglist|))
-                   ((BOOT-EQUAL |op| 'OR) (CONS '|Or| |axArglist|))
-                   ((BOOT-EQUAL |op| 'NOT) (CONS '|Not| |axArglist|))
-                   ('T (|error| '|unknown predicate|)))))))))))
-
-;axFormatCondOp op ==
-;  $pretendFlag:local := true
-;  axFormatOp op
-
-(DEFUN |axFormatCondOp| (|op|)
-  (PROG (|$pretendFlag|)
-    (DECLARE (SPECIAL |$pretendFlag|))
-    (RETURN (PROGN (SPADLET |$pretendFlag| 'T) (|axFormatOp| |op|)))))
-
-;axFormatOp op ==
-;   op is ['IF, pred, trueops, falseops] =>
-;      NULL(trueops) or trueops='noBranch =>
-;         ['If, ['Test,['Not, axFormatPred pred]],
-;              axFormatCondOp falseops,
-;                axFormatCondOp trueops]
-;      ['If, axFormatPred pred,
-;             axFormatCondOp trueops,
-;              axFormatCondOp falseops]
-;       -- ops are either single op or ['PROGN, ops]
-;   op is ['SIGNATURE, name, type] => axFormatOpSig(name,type)
-;   op is ['SIGNATURE, name, type, 'constant] =>
-;            axFormatConstantOp(name,type)
-;   op is ['ATTRIBUTE, attributeOrCategory] =>
-;       categoryForm? attributeOrCategory =>
-;           axFormatType attributeOrCategory
-;       ['RestrictTo, axFormatAttrib attributeOrCategory, 'Category]
-;   op is ['PROGN, :ops] => axFormatOpList ops
-;   op is 'noBranch => []
-;   axFormatType op
-
-(DEFUN |axFormatOp| (|op|)
-  (PROG (|pred| |trueops| |falseops| |name| |ISTMP#2| |type| |ISTMP#3|
-                |ISTMP#1| |attributeOrCategory| |ops|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |op|) (EQ (QCAR |op|) 'IF)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |op|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |pred| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |trueops| (QCAR |ISTMP#2|))
-                              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (EQ (QCDR |ISTMP#3|) NIL)
-                                   (PROGN
-                                     (SPADLET |falseops|
-                                      (QCAR |ISTMP#3|))
-                                     'T))))))))
-         (COND
-           ((OR (NULL |trueops|) (BOOT-EQUAL |trueops| '|noBranch|))
-            (CONS '|If|
-                  (CONS (CONS '|Test|
-                              (CONS (CONS '|Not|
-                                     (CONS (|axFormatPred| |pred|) NIL))
-                                    NIL))
-                        (CONS (|axFormatCondOp| |falseops|)
-                              (CONS (|axFormatCondOp| |trueops|) NIL)))))
-           ('T
-            (CONS '|If|
-                  (CONS (|axFormatPred| |pred|)
-                        (CONS (|axFormatCondOp| |trueops|)
-                              (CONS (|axFormatCondOp| |falseops|) NIL)))))))
-        ((AND (PAIRP |op|) (EQ (QCAR |op|) 'SIGNATURE)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |op|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |name| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN
-                              (SPADLET |type| (QCAR |ISTMP#2|))
-                              'T))))))
-         (|axFormatOpSig| |name| |type|))
-        ((AND (PAIRP |op|) (EQ (QCAR |op|) 'SIGNATURE)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |op|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |name| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |type| (QCAR |ISTMP#2|))
-                              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (EQ (QCDR |ISTMP#3|) NIL)
-                                   (EQ (QCAR |ISTMP#3|) '|constant|))))))))
-         (|axFormatConstantOp| |name| |type|))
-        ((AND (PAIRP |op|) (EQ (QCAR |op|) 'ATTRIBUTE)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |op|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN
-                       (SPADLET |attributeOrCategory| (QCAR |ISTMP#1|))
-                       'T))))
-         (COND
-           ((|categoryForm?| |attributeOrCategory|)
-            (|axFormatType| |attributeOrCategory|))
-           ('T
-            (CONS '|RestrictTo|
-                  (CONS (|axFormatAttrib| |attributeOrCategory|)
-                        (CONS '|Category| NIL))))))
-        ((AND (PAIRP |op|) (EQ (QCAR |op|) 'PROGN)
-              (PROGN (SPADLET |ops| (QCDR |op|)) 'T))
-         (|axFormatOpList| |ops|))
-        ((EQ |op| '|noBranch|) NIL)
-        ('T (|axFormatType| |op|))))))
-
-;addDefaults(catname, withform) ==
-;  withform isnt ['With, joins, ['Sequence,: oplist]] =>
-;     error "bad category body"
-;  null(defaults := getDefaultingOps catname) => withform
-;  defaultdefs := [makeDefaultDef(decl) for decl in defaults]
-;  ['With, joins,
-;     ['Sequence, :oplist, ['Default, ['Sequence,: defaultdefs]]]]
-
-(DEFUN |addDefaults| (|catname| |withform|)
-  (PROG (|ISTMP#1| |joins| |ISTMP#2| |ISTMP#3| |oplist| |defaults|
-            |defaultdefs|)
-    (RETURN
-      (SEQ (COND
-             ((NULL (AND (PAIRP |withform|)
-                         (EQ (QCAR |withform|) '|With|)
-                         (PROGN
-                           (SPADLET |ISTMP#1| (QCDR |withform|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |joins| (QCAR |ISTMP#1|))
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCDR |ISTMP#2|) NIL)
-                                       (PROGN
-                                         (SPADLET |ISTMP#3|
-                                          (QCAR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
-                                          (EQ (QCAR |ISTMP#3|)
-                                           '|Sequence|)
-                                          (PROGN
-                                            (SPADLET |oplist|
-                                             (QCDR |ISTMP#3|))
-                                            'T)))))))))
-              (|error| '|bad category body|))
-             ((NULL (SPADLET |defaults| (|getDefaultingOps| |catname|)))
-              |withform|)
-             ('T
-              (SPADLET |defaultdefs|
-                       (PROG (G166944)
-                         (SPADLET G166944 NIL)
-                         (RETURN
-                           (DO ((G166949 |defaults| (CDR G166949))
-                                (|decl| NIL))
-                               ((OR (ATOM G166949)
-                                    (PROGN
-                                      (SETQ |decl| (CAR G166949))
-                                      NIL))
-                                (NREVERSE0 G166944))
-                             (SEQ (EXIT (SETQ G166944
-                                         (CONS
-                                          (|makeDefaultDef| |decl|)
-                                          G166944))))))))
-              (CONS '|With|
-                    (CONS |joins|
-                          (CONS (CONS '|Sequence|
-                                      (APPEND |oplist|
-                                       (CONS
-                                        (CONS '|Default|
-                                         (CONS
-                                          (CONS '|Sequence|
-                                           |defaultdefs|)
-                                          NIL))
-                                        NIL)))
-                                NIL)))))))))
-
-;makeDefaultDef(decl) ==
-;  decl isnt ['Declare, op, type] =>
-;       error "bad default definition"
-;  $defaultFlag := true
-;  type is ['Apply, "->", args, result] =>
-;       ['Define, decl, ['Lambda, makeDefaultArgs args, result,
-;                    ['Label, op, 'dummyDefault]]]
-;  ['Define, ['Declare, op, type], 'dummyDefault]
-
-(DEFUN |makeDefaultDef| (|decl|)
-  (PROG (|op| |type| |ISTMP#1| |ISTMP#2| |args| |ISTMP#3| |result|)
-  (declare (special |$defaultFlag|))
-    (RETURN
-      (COND
-        ((NULL (AND (PAIRP |decl|) (EQ (QCAR |decl|) '|Declare|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |decl|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |op| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |type| (QCAR |ISTMP#2|))
-                                    'T)))))))
-         (|error| '|bad default definition|))
-        ('T (SPADLET |$defaultFlag| 'T)
-         (COND
-           ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Apply|)
-                 (PROGN
-                   (SPADLET |ISTMP#1| (QCDR |type|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '->)
-                        (PROGN
-                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
-                               (PROGN
-                                 (SPADLET |args| (QCAR |ISTMP#2|))
-                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCDR |ISTMP#3|) NIL)
-                                      (PROGN
-                                        (SPADLET |result|
-                                         (QCAR |ISTMP#3|))
-                                        'T))))))))
-            (CONS '|Define|
-                  (CONS |decl|
-                        (CONS (CONS '|Lambda|
-                                    (CONS (|makeDefaultArgs| |args|)
-                                     (CONS |result|
-                                      (CONS
-                                       (CONS '|Label|
-                                        (CONS |op|
-                                         (CONS '|dummyDefault| NIL)))
-                                       NIL))))
-                              NIL))))
-           ('T
-            (CONS '|Define|
-                  (CONS (CONS '|Declare| (CONS |op| (CONS |type| NIL)))
-                        (CONS '|dummyDefault| NIL))))))))))
-
-;makeDefaultArgs args ==
-;  args isnt ['Comma,:argl] => error "bad default argument list"
-;  ['Comma,: [['Declare,v,t] for v in $TriangleVariableList for t in argl]]
-
-(DEFUN |makeDefaultArgs| (|args|)
-  (PROG (|argl|)
-  (declare (special |$TriangleVariableList|))
-    (RETURN
-      (SEQ (COND
-             ((NULL (AND (PAIRP |args|) (EQ (QCAR |args|) '|Comma|)
-                         (PROGN (SPADLET |argl| (QCDR |args|)) 'T)))
-              (|error| '|bad default argument list|))
-             ('T
-              (CONS '|Comma|
-                    (PROG (G167027)
-                      (SPADLET G167027 NIL)
-                      (RETURN
-                        (DO ((G167033 |$TriangleVariableList|
-                                 (CDR G167033))
-                             (|v| NIL)
-                             (G167034 |argl| (CDR G167034))
-                             (|t| NIL))
-                            ((OR (ATOM G167033)
-                                 (PROGN
-                                   (SETQ |v| (CAR G167033))
-                                   NIL)
-                                 (ATOM G167034)
-                                 (PROGN
-                                   (SETQ |t| (CAR G167034))
-                                   NIL))
-                             (NREVERSE0 G167027))
-                          (SEQ (EXIT (SETQ G167027
-                                      (CONS
-                                       (CONS '|Declare|
-                                        (CONS |v| (CONS |t| NIL)))
-                                       G167027))))))))))))))
-
-;getDefaultingOps catname ==
-;  not(name:=hasDefaultPackage catname) => nil
-;  $infovec: local := getInfovec name
-;  opTable := $infovec.1
-;  $opList:local  := nil
-;  for i in 0..MAXINDEX opTable repeat
-;    op := opTable.i
-;    i := i + 1
-;    startIndex := opTable.i
-;    stopIndex :=
-;      i + 1 > MAXINDEX opTable => MAXINDEX getCodeVector()
-;      opTable.(i + 2)
-;    curIndex := startIndex
-;    while curIndex < stopIndex repeat
-;      curIndex := get1defaultOp(op,curIndex)
-;  $pretendFlag : local := true
-;  catops := GETDATABASE(catname, 'OPERATIONALIST)
-;  [axFormatDefaultOpSig(op,sig,catops) for opsig in $opList | opsig is [op,sig]]
-
-(DEFUN |getDefaultingOps| (|catname|)
-  (PROG (|$infovec| |$opList| |$pretendFlag| |name| |opTable| 
-            |startIndex| |stopIndex| |curIndex| |catops| |op| |ISTMP#1|
-            |sig|)
-    (DECLARE (SPECIAL |$infovec| |$opList| |$pretendFlag|))
-    (RETURN
-      (SEQ (COND
-             ((NULL (SPADLET |name| (|hasDefaultPackage| |catname|)))
-              NIL)
-             ('T (SPADLET |$infovec| (|getInfovec| |name|))
-              (SPADLET |opTable| (ELT |$infovec| 1))
-              (SPADLET |$opList| NIL)
-              (DO ((G167069 (MAXINDEX |opTable|))
-                   (|i| 0 (QSADD1 |i|)))
-                  ((QSGREATERP |i| G167069) NIL)
-                (SEQ (EXIT (PROGN
-                             (SPADLET |op| (ELT |opTable| |i|))
-                             (SPADLET |i| (PLUS |i| 1))
-                             (SPADLET |startIndex| (ELT |opTable| |i|))
-                             (SPADLET |stopIndex|
-                                      (COND
-                                        ((> (PLUS |i| 1)
-                                          (MAXINDEX |opTable|))
-                                         (MAXINDEX (|getCodeVector|)))
-                                        ('T
-                                         (ELT |opTable| (PLUS |i| 2)))))
-                             (SPADLET |curIndex| |startIndex|)
-                             (DO ()
-                                 ((NULL (> |stopIndex| |curIndex|))
-                                  NIL)
-                               (SEQ (EXIT
-                                     (SPADLET |curIndex|
-                                      (|get1defaultOp| |op| |curIndex|)))))))))
-              (SPADLET |$pretendFlag| 'T)
-              (SPADLET |catops|
-                       (GETDATABASE |catname| 'OPERATIONALIST))
-              (PROG (G167084)
-                (SPADLET G167084 NIL)
-                (RETURN
-                  (DO ((G167090 |$opList| (CDR G167090))
-                       (|opsig| NIL))
-                      ((OR (ATOM G167090)
-                           (PROGN (SETQ |opsig| (CAR G167090)) NIL))
-                       (NREVERSE0 G167084))
-                    (SEQ (EXIT (COND
-                                 ((AND (PAIRP |opsig|)
-                                       (PROGN
-                                         (SPADLET |op| (QCAR |opsig|))
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |opsig|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (EQ (QCDR |ISTMP#1|) NIL)
-                                          (PROGN
-                                            (SPADLET |sig|
-                                             (QCAR |ISTMP#1|))
-                                            'T))))
-                                  (SETQ G167084
-                                        (CONS
-                                         (|axFormatDefaultOpSig| |op|
-                                          |sig| |catops|)
-                                         G167084)))))))))))))))
-
-;axFormatDefaultOpSig(op, sig, catops) ==
-;  #sig > 1 => axFormatOpSig(op,sig)
-;  nsig := MSUBST('$,'($), sig) -- dcSig listifies '$ ??
-;  (catsigs := LASSOC(op, catops)) and
-;    (catsig := assoc(nsig, catsigs)) and last(catsig) = 'CONST =>
-;       axFormatConstantOp(op, sig)
-;  axFormatOpSig(op,sig)
-
-(DEFUN |axFormatDefaultOpSig| (|op| |sig| |catops|)
-  (PROG (|nsig| |catsigs| |catsig|)
-    (RETURN
-      (COND
-        ((> (|#| |sig|) 1) (|axFormatOpSig| |op| |sig|))
-        ('T (SPADLET |nsig| (MSUBST '$ '($) |sig|))
-         (COND
-           ((AND (SPADLET |catsigs| (LASSOC |op| |catops|))
-                 (SPADLET |catsig| (|assoc| |nsig| |catsigs|))
-                 (BOOT-EQUAL (|last| |catsig|) 'CONST))
-            (|axFormatConstantOp| |op| |sig|))
-           ('T (|axFormatOpSig| |op| |sig|))))))))
-
-;get1defaultOp(op,index) ==
-;  numvec := getCodeVector()
-;  segment := getOpSegment index
-;  numOfArgs := numvec.index
-;  index := index + 1
-;  predNumber := numvec.index
-;  index := index + 1
-;  signumList :=
-; -- following substitution fixes the problem that default packages
-; -- have $ added as a first arg, thus other arg counts are off by 1.
-;    SUBLISLIS($FormalMapVariableList, rest $FormalMapVariableList,
-;             dcSig(numvec,index,numOfArgs))
-;  index := index + numOfArgs + 1
-;  slotNumber := numvec.index
-;  if not([op,signumList] in $opList) then
-;     $opList := [[op,signumList],:$opList]
-;  index + 1
-
-(DEFUN |get1defaultOp| (|op| |index|)
-  (PROG (|numvec| |segment| |numOfArgs| |predNumber| |signumList|
-            |slotNumber|)
-  (declare (special |$opList| |$FormalMapVariableList|))
-    (RETURN
-      (PROGN
-        (SPADLET |numvec| (|getCodeVector|))
-        (SPADLET |segment| (|getOpSegment| |index|))
-        (SPADLET |numOfArgs| (ELT |numvec| |index|))
-        (SPADLET |index| (PLUS |index| 1))
-        (SPADLET |predNumber| (ELT |numvec| |index|))
-        (SPADLET |index| (PLUS |index| 1))
-        (SPADLET |signumList|
-                 (SUBLISLIS |$FormalMapVariableList|
-                     (CDR |$FormalMapVariableList|)
-                     (|dcSig| |numvec| |index| |numOfArgs|)))
-        (SPADLET |index| (PLUS (PLUS |index| |numOfArgs|) 1))
-        (SPADLET |slotNumber| (ELT |numvec| |index|))
-        (COND
-          ((NULL (|member| (CONS |op| (CONS |signumList| NIL))
-                     |$opList|))
-           (SPADLET |$opList|
-                    (CONS (CONS |op| (CONS |signumList| NIL))
-                          |$opList|))))
-        (PLUS |index| 1)))))
-
-;axAddLiteral(name, type, dom) ==
-;  elt := [name, type, dom]
-;  if not member( elt, $literals) then
-;     $literals := [elt, :$literals]
-
-(DEFUN |axAddLiteral| (|name| |type| |dom|)
-  (PROG (|elt|)
-  (declare (special |$literals|))
-    (RETURN
-      (PROGN
-        (SPADLET |elt| (CONS |name| (CONS |type| (CONS |dom| NIL))))
-        (COND
-          ((NULL (|member| |elt| |$literals|))
-           (SPADLET |$literals| (CONS |elt| |$literals|)))
-          ('T NIL))))))
-
-;axDoLiterals() ==
-;  [ [ 'Import,
-;          [ 'With, [],
-;            ['Declare, name, [ 'Apply, '_-_> , dom , '_% ]]],
-;                 type ] for [name, type, dom] in $literals]
-
-(DEFUN |axDoLiterals| ()
-  (PROG (|name| |type| |dom|)
-  (declare (special |$literals|))
-    (RETURN
-      (SEQ (PROG (G167158)
-             (SPADLET G167158 NIL)
-             (RETURN
-               (DO ((G167164 |$literals| (CDR G167164))
-                    (G167148 NIL))
-                   ((OR (ATOM G167164)
-                        (PROGN (SETQ G167148 (CAR G167164)) NIL)
-                        (PROGN
-                          (PROGN
-                            (SPADLET |name| (CAR G167148))
-                            (SPADLET |type| (CADR G167148))
-                            (SPADLET |dom| (CADDR G167148))
-                            G167148)
-                          NIL))
-                    (NREVERSE0 G167158))
-                 (SEQ (EXIT (SETQ G167158
-                                  (CONS (CONS '|Import|
-                                         (CONS
-                                          (CONS '|With|
-                                           (CONS NIL
-                                            (CONS
-                                             (CONS '|Declare|
-                                              (CONS |name|
-                                               (CONS
-                                                (CONS '|Apply|
-                                                 (CONS '->
-                                                  (CONS |dom|
-                                                   (CONS '% NIL))))
-                                                NIL)))
-                                             NIL)))
-                                          (CONS |type| NIL)))
-                                        G167158)))))))))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/br-con.lisp.pamphlet axiom-20111101/src/interp/br-con.lisp.pamphlet
--- axiom-20110301a/src/interp/br-con.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/br-con.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -392,7 +392,7 @@
         (COND
           (|conlist| (|htSay| "belong to ")
               (COND
-                ((AND (PAIRP |conlist|) (EQ (QCDR |conlist|) NIL)
+                ((AND (CONSP |conlist|) (EQ (QCDR |conlist|) NIL)
                       (PROGN (SPADLET |u| (QCAR |conlist|)) 'T))
                  (|htSay| "category ")
                  (|bcConform| (CAR |u|)) (|bcPred| (CDR |u|)))
@@ -492,7 +492,7 @@
       (SEQ (COND
              (|domname|
                  (SUBLISLIS (CDR |domname|) (CDR |conform|) |typeForm|))
-             ((AND (PAIRP |typeForm|) (EQ (QCAR |typeForm|) '|Join|)
+             ((AND (CONSP |typeForm|) (EQ (QCAR |typeForm|) '|Join|)
                    (PROGN (SPADLET |r| (QCDR |typeForm|)) 'T))
               (CONS '|Join|
                     (PROG (G165906)
@@ -545,7 +545,7 @@
                ((OR (ATOM G165951)
                     (PROGN (SETQ |x| (CAR G165951)) NIL))
                 NIL)
-             (SEQ (IF (AND (NULL (AND (PAIRP |x|)
+             (SEQ (IF (AND (NULL (AND (CONSP |x|)
                                       (PROGN
                                         (SPADLET |op1| (QCAR |x|))
                                         'T)))
@@ -604,10 +604,10 @@
                            (PROGN (SETQ |x| (CAR G166013)) NIL))
                        NIL)
                     (SEQ (SPADLET |domlist| (IFCDR |domlist|))
-                         (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'CATEGORY)
+                         (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'CATEGORY)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |r| (QCDR |ISTMP#1|))
                                        'T))))
@@ -654,7 +654,7 @@
   (PROG (|op| |r|)
     (RETURN
       (COND
-        ((AND (PAIRP |conform|)
+        ((AND (CONSP |conform|)
               (PROGN
                 (SPADLET |op| (QCAR |conform|))
                 (SPADLET |r| (QCDR |conform|))
@@ -702,7 +702,7 @@
         (SPADLET |domname|
                  (|kDomainName| |htPage| |kind| |name| |nargs|))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T
            (SPADLET |heading|
@@ -776,7 +776,7 @@
              (SPADLET |domname|
                       (|kDomainName| |htPage| |kind| |name| |nargs|))
              (COND
-               ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+               ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
                 (|errorPage| |htPage| |domname|))
                ('T (|htpSetProperty| |htPage| '|domname| |domname|)
                 (SPADLET |$conformsAreDomains| |domname|)
@@ -1032,7 +1032,7 @@
         (SPADLET |domname|
                  (|kDomainName| |htPage| |kind| |name| |nargs|))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T
            (SPADLET |heading|
@@ -1268,7 +1268,7 @@
         (SPADLET |domname|
                  (|kDomainName| |htPage| |kind| |name| |nargs|))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T (SPADLET |conform| (|htpProperty| |htPage| '|conform|))
            (SPADLET |conname| (|opOf| |conform|))
@@ -1542,7 +1542,7 @@
         (SPADLET |domname|
                  (|kDomainName| |htPage| |kind| |name| |nargs|))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T
            (SPADLET |heading|
@@ -1677,7 +1677,7 @@
         (SPADLET |domname|
                  (|kDomainName| |htPage| |kind| |name| |nargs|))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T
            (SPADLET |heading|
@@ -1744,7 +1744,7 @@
         (SPADLET |domname|
                  (|kDomainName| |htPage| |kind| |name| |nargs|))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T
            (SPADLET |heading|
@@ -1813,7 +1813,7 @@
                                         ((PROGN
                                            (SPADLET |ISTMP#1|
                                             (|extractHasArgs| |p|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (SPADLET |a|
                                                (QCAR |ISTMP#1|))
@@ -1897,6 +1897,22 @@
                  "dependent")
              (|dbShowCons| |htPage| '|names|))))))
 
+;getDependentsOfConstructor(con) ==
+;  stream := readLib1('dependents, 'DATABASE, 'a)
+;  val := rread(con, stream, nil)
+;  RSHUT stream
+;  val
+
+(DEFUN |getDependentsOfConstructor| (|con|)
+  (PROG (|stream| |val|)
+    (RETURN
+      (PROGN
+        (SPADLET |stream| 
+         (|readLibPathFast| (|pathname| (list  '|dependents| 'DATABASE '|a|))))
+        (SPADLET |val| (|rread| |con| |stream| NIL))
+        (RSHUT |stream|)
+        |val|))))
+
 ;kcuPage(htPage,junk) ==
 ;  [kind,name,nargs,xflag,sig,args,abbrev,comments] := htpProperty(htPage,'parts)
 ;  conname         := INTERN name
@@ -1966,6 +1982,22 @@
              (|htpSetProperty| |htPage| '|thing| "user")
              (|dbShowCons| |htPage| '|names|))))))
 
+;getUsersOfConstructor(con) ==
+;  stream := readLib1('users, 'DATABASE, 'a)
+;  val := rread(con, stream, nil)
+;  RSHUT stream
+;  val
+
+(DEFUN |getUsersOfConstructor| (|con|)
+  (PROG (|stream| |val|)
+    (RETURN
+      (PROGN
+        (SPADLET |stream| 
+         (|readLibPathFast| (|pathname| (list '|users| 'DATABASE '|a|))))
+        (SPADLET |val| (|rread| |con| |stream| NIL))
+        (RSHUT |stream|)
+        |val|))))
+
 ;kcnPage(htPage,junk) ==
 ;--if reached by a category, that category has a default package
 ;  [kind,name,nargs,xpart,sig,args,abbrev,comments] := htpProperty(htPage,'parts)
@@ -2008,7 +2040,7 @@
              (SPADLET |domname|
                       (|kDomainName| |htPage| |kind| |name| |nargs|))
              (COND
-               ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+               ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
                 (|errorPage| |htPage| |domname|))
                ('T
                 (SPADLET |heading|
@@ -2358,10 +2390,10 @@
                   (SPADLET |ISTMP#1|
                            (CATCH 'SPAD_READER
                              (|processInteractive| |typeForm| NIL)))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |h| (QCAR |ISTMP#2|))
                                 'T)))
@@ -2687,7 +2719,7 @@
                                     (SPADLET |u|
                                      (|htpProperty| |htPage|
                                       '|domname|)))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQUAL (QCAR |ISTMP#1|) |conname|)))
                          (OR (BOOT-EQUAL
                                  (|htpProperty| |htPage|
@@ -2698,7 +2730,7 @@
                     |u|)
                    ('T (|kDomainName| |htPage| |kind| |name| |nargs|))))
         (COND
-          ((AND (PAIRP |domname|) (EQ (QCAR |domname|) '|error|))
+          ((AND (CONSP |domname|) (EQ (QCAR |domname|) '|error|))
            (|errorPage| |htPage| |domname|))
           ('T (|htpSetProperty| |htPage| '|domname| |domname|)
            (SPADLET |headingString|
@@ -3060,7 +3092,7 @@
              (SPADLET |doc| (CDR G167382))
              G167382
              (SEQ (IF (BOOT-EQUAL |$which| "attribute")
-                      (EXIT (AND (AND (PAIRP |sig|)
+                      (EXIT (AND (AND (CONSP |sig|)
                                       (EQ (QCAR |sig|) '|attribute|)
                                       (EQUAL (QCDR |sig|) |$sig|))
                                  |doc|)))
@@ -3076,7 +3108,7 @@
                                      (EXIT
                                       (SEQ
                                        (IF
-                                        (AND (PAIRP |doc|)
+                                        (AND (CONSP |doc|)
                                          (EQ (QCAR |doc|) '|constant|)
                                          (PROGN
                                            (SPADLET |r| (QCDR |doc|))
@@ -3126,10 +3158,10 @@
                      (DIGITP (ELT (SPADLET |s| (STRINGIMAGE |op|)) 0)))
                 (SPADLET |op| (|string2Integer| |s|))))
              (COND
-               ((AND (PAIRP |aux|)
+               ((AND (CONSP |aux|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |aux|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |packageName| (QCAR |ISTMP#1|))
                               'T)))
@@ -3208,10 +3240,10 @@
                      0)
                  (ELT |args| |n|))
                 ('T |u|)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|local|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|local|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
               (|dbSubConform| |args| |y|))
              ('T
@@ -3281,7 +3313,7 @@
                              (OR (IFCAR |options|)
                                  (|dbGetInputString| |htPage|))))
                 (COND
-                  ((AND (PAIRP |filter|) (EQ (QCAR |filter|) '|error|))
+                  ((AND (CONSP |filter|) (EQ (QCAR |filter|) '|error|))
                    (|bcErrorPage| |filter|))
                   ('T
                    (SPADLET |abbrev?|
@@ -3426,7 +3458,7 @@
                                          (SETQ G167564
                                           (CONS |item| G167564)))))))))))
              (COND
-               ((AND (PAIRP |conlist|) (EQ (QCDR |conlist|) NIL))
+               ((AND (CONSP |conlist|) (EQ (QCDR |conlist|) NIL))
                 (|conPage|
                     (COND
                       ((AND |htPage|
@@ -3465,7 +3497,7 @@
                                        (|dbConstructorKind| |x|)))))))))
                 (SPADLET |kind|
                          (COND
-                           ((AND (PAIRP |kinds|)
+                           ((AND (CONSP |kinds|)
                                  (EQ (QCDR |kinds|) NIL)
                                  (PROGN
                                    (SPADLET |a| (QCAR |kinds|))
@@ -3745,13 +3777,13 @@
                           (LASSOC '|constructor|
                                   (GETDATABASE |conname|
                                       'DOCUMENTATION)))
-                 (AND (PAIRP |ISTMP#1|)
+                 (AND (CONSP |ISTMP#1|)
                       (PROGN
                         (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                        (AND (PAIRP |ISTMP#2|) (NULL (QCAR |ISTMP#2|))
+                        (AND (CONSP |ISTMP#2|) (NULL (QCAR |ISTMP#2|))
                              (PROGN
                                (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                               (AND (PAIRP |ISTMP#3|)
+                               (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |line| (QCAR |ISTMP#3|))
                                       'T)))))))
@@ -4114,17 +4146,17 @@
   (PROG (|ISTMP#1| |ISTMP#2| |ISTMP#3| |r| |op| |u| |sig| |comments|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |opAlist|)
+             ((AND (CONSP |opAlist|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |opAlist|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |op| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |sig| (QCAR |ISTMP#3|))
                                       (SPADLET |r| (QCDR |ISTMP#3|))
@@ -4715,21 +4747,21 @@
                       (SPADLET |ISTMP#1|
                                (GETDATABASE |conname|
                                    'CONSTRUCTORMODEMAP))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (PROGN
                                        (SPADLET |t| (QCAR |ISTMP#3|))
                                        'T)))))))
-                    (PAIRP |t|) (EQ (QCAR |t|) 'CATEGORY)
+                    (CONSP |t|) (EQ (QCAR |t|) 'CATEGORY)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) '|package|))))
                (SPADLET |kind| '|package|)))
             (SPADLET |$kind|
@@ -4744,11 +4776,11 @@
                        ((PROGN
                           (SPADLET |ISTMP#1|
                                    (LASSOC '|constructor| |$doc|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN
                                  (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
+                                 (AND (CONSP |ISTMP#2|)
                                       (EQUAL (QCAR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |r| (QCDR |ISTMP#2|))
@@ -4839,10 +4871,10 @@
   (PROG (|ISTMP#1| |a| |r|)
     (RETURN
       (SEQ (IF (ATOM |x|) (EXIT |x|))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) '|Join|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |r| (QCDR |ISTMP#1|))
@@ -4850,7 +4882,7 @@
                (EXIT (CONS '|Join|
                            (CONS (|libConstructorSig,fn| |a|)
                                  (CONS '|etc| NIL)))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'CATEGORY))
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'CATEGORY))
                (EXIT '|etc|))
            (EXIT (PROG (G168260)
                    (SPADLET G168260 NIL)
@@ -4952,7 +4984,7 @@
   (PROG (|head| |tail|)
     (RETURN
       (COND
-        ((AND (PAIRP |r|)
+        ((AND (CONSP |r|)
               (PROGN
                 (SPADLET |head| (QCAR |r|))
                 (SPADLET |tail| (QCDR |r|))
@@ -5993,10 +6025,10 @@
   (PROG (|r|)
     (RETURN
       (SEQ (IF (ATOM |x|) (EXIT NIL))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) '|Join|)
                     (PROGN (SPADLET |r| (QCDR |x|)) 'T))
                (EXIT (|getArgumentConstructors,fn| |r|)))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'CATEGORY)) (EXIT NIL))
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'CATEGORY)) (EXIT NIL))
            (IF (|constructor?| (CAR |x|))
                (EXIT (CONS (CAR |x|)
                            (|getArgumentConstructors,fn| (CDR |x|)))))
@@ -6057,7 +6089,7 @@
 (DEFUN |getImports,import| (|x| |template|)
   (PROG (|op| |args| |ISTMP#1| |x1| |x2|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |x|)
+      (SEQ (IF (AND (CONSP |x|)
                     (PROGN
                       (SPADLET |op| (QCAR |x|))
                       (SPADLET |args| (QCDR |x|))
@@ -6097,11 +6129,11 @@
                           (IF (BOOT-EQUAL |op| '|Union|)
                               (EXIT (SEQ
                                      (IF
-                                      (AND (PAIRP |args|)
+                                      (AND (CONSP |args|)
                                        (PROGN
                                          (SPADLET |ISTMP#1|
                                           (QCAR |args|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCAR |ISTMP#1|) '|:|)
                                           (PROGN
                                             (SPADLET |x1|
@@ -6210,7 +6242,7 @@
                                            (PROGN
                                              (SPADLET |ISTMP#1|
                                               (ELT |template| |i|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (PROGN
                                                 (SPADLET |op|
                                                  (QCAR |ISTMP#1|))
@@ -6377,14 +6409,14 @@
 (DEFUN |explodeIfs,gn| (|p| |a|)
   (PROG (|ISTMP#1| |q| |ISTMP#2| |b|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |a|) (EQ (QCAR |a|) 'IF)
+      (SEQ (IF (AND (CONSP |a|) (EQ (QCAR |a|) 'IF)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |a|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |q| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |b| (QCAR |ISTMP#2|))
                                     'T))))))
@@ -6421,18 +6453,18 @@
   (PROG (|ISTMP#1| |p| |ISTMP#2| |a| |ISTMP#3| |b|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'IF)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |p| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |a| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |b| (QCAR |ISTMP#3|))
@@ -6447,7 +6479,7 @@
 ;  u is ['SIGNATURE,:.] => nil
 ;  u is ['TYPE,:.] => nil
 ;  u is ['ATTRIBUTE,a] =>
-;    PAIRP a and constructor? opOf a => folks a
+;    CONSP a and constructor? opOf a => folks a
 ;    nil
 ;  u is ['IF,p,q,r] =>
 ;    q1 := folks q
@@ -6462,16 +6494,16 @@
     (RETURN
       (SEQ (COND
              ((ATOM |u|) NIL)
-             ((OR (AND (PAIRP |u|)
+             ((OR (AND (CONSP |u|)
                        (PROGN
                          (SPADLET |op| (QCAR |u|))
                          (SPADLET |v| (QCDR |u|))
                          'T)
                        (member |op| '(|Join| PROGN)))
-                  (AND (PAIRP |u|) (EQ (QCAR |u|) 'CATEGORY)
+                  (AND (CONSP |u|) (EQ (QCAR |u|) 'CATEGORY)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |u|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |a| (QCAR |ISTMP#1|))
                                 (SPADLET |v| (QCDR |ISTMP#1|))
@@ -6485,29 +6517,29 @@
                        G169264)
                     (SEQ (EXIT (SETQ G169264
                                      (APPEND G169264 (|folks| |x|)))))))))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'SIGNATURE)) NIL)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'TYPE)) NIL)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'ATTRIBUTE)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'SIGNATURE)) NIL)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'TYPE)) NIL)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'ATTRIBUTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
               (COND
-                ((AND (PAIRP |a|) (|constructor?| (|opOf| |a|)))
+                ((AND (CONSP |a|) (|constructor?| (|opOf| |a|)))
                  (|folks| |a|))
                 ('T NIL)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'IF)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'IF)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |p| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |q| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |r| (QCAR |ISTMP#3|))
@@ -6886,7 +6918,7 @@
                                      NIL))
                                (NREVERSE0 G169512))
                             (SEQ (EXIT (COND
-                                         ((AND (PAIRP |key|)
+                                         ((AND (CONSP |key|)
                                            (PROGN
                                              (SPADLET |anc|
                                               (QCAR |key|))
@@ -7194,7 +7226,7 @@
   (PROG (|.| |acc| |y| |r| |nd| |j|)
   (declare (special |$formals|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |x|) (PROGN (SPADLET |.| (QCDR |x|)) 'T))
+      (SEQ (IF (AND (CONSP |x|) (PROGN (SPADLET |.| (QCDR |x|)) 'T))
                (EXIT (SEQ (SPADLET |acc| NIL) (SPADLET |y| |x|)
                           (DO () ((NULL (NULL (ATOM |y|))) NIL)
                             (SEQ (SPADLET |acc|
@@ -7754,19 +7786,19 @@
              ((BOOT-EQUAL |u| '$) (|devaluate| |dollar|))
              ((AND (integerp |u|) (VECP (SPADLET |y| (ELT |dollar| |u|))))
               (|devaluate| |y|))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'NRTEVAL)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'NRTEVAL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
               (MKQ (|eval| |y|)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
               |u|)
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |op| (QCAR |u|))
                      (SPADLET |argl| (QCDR |u|))
@@ -7818,7 +7850,7 @@
                                          (SPADLET |ISTMP#1|
                                           (SPADLET |x|
                                            (ELT |catforms| |i|)))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCAR |ISTMP#1|)
                                            '|DomainSubstitutionMacro|)))))
                                  (SETQ G170158
@@ -7920,12 +7952,12 @@
                  ((NULL (AND |u|
                              (PROGN
                                (SPADLET |ISTMP#1| (CAR |u|))
-                               (AND (PAIRP |ISTMP#1|)
+                               (AND (CONSP |ISTMP#1|)
                                     (PROGN
                                       (SPADLET |op| (QCAR |ISTMP#1|))
                                       (SPADLET |ISTMP#2|
                                        (QCDR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
+                                      (AND (CONSP |ISTMP#2|)
                                        (PROGN
                                          (SPADLET |sig|
                                           (QCAR |ISTMP#2|))
@@ -7940,7 +7972,7 @@
              |u|)))))
 
 ;getDomainRefName(dom,nam) ==
-;  PAIRP nam => [getDomainRefName(dom,x) for x in nam]
+;  CONSP nam => [getDomainRefName(dom,x) for x in nam]
 ;  not FIXP nam => nam
 ;  slot := dom.nam
 ;  VECP slot => slot.0
@@ -7951,7 +7983,7 @@
   (PROG (|slot|)
     (RETURN
       (SEQ (COND
-             ((PAIRP |nam|)
+             ((CONSP |nam|)
               (PROG (G170266)
                 (SPADLET G170266 NIL)
                 (RETURN
@@ -7967,7 +7999,7 @@
              ('T (SPADLET |slot| (ELT |dom| |nam|))
               (COND
                 ((VECP |slot|) (ELT |slot| 0))
-                ((AND (PAIRP |slot|) (EQ (QCAR |slot|) 'SETELT))
+                ((AND (CONSP |slot|) (EQ (QCAR |slot|) 'SETELT))
                  (|getDomainRefName| |dom|
                      (|getDomainSeteltForm| |slot|)))
                 ('T |slot|))))))))
@@ -7983,14 +8015,14 @@
       (PROGN
         (SPADLET |form| (CADDDR G170299))
         (COND
-          ((AND (PAIRP |form|) (EQ (QCAR |form|) '|evalSlotDomain|)
+          ((AND (CONSP |form|) (EQ (QCAR |form|) '|evalSlotDomain|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |form|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |u| (QCAR |ISTMP#1|))
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (PROGN
                                 (SPADLET |d| (QCAR |ISTMP#2|))
@@ -8103,18 +8135,18 @@
                                (SPADLET |ISTMP#1|
                                         (SPADLET |slot|
                                          (ELT |dom| |i|)))
-                               (AND (PAIRP |ISTMP#1|)
+                               (AND (CONSP |ISTMP#1|)
                                     (EQ (QCAR |ISTMP#1|) '|newGoGet|)
                                     (PROGN
                                       (SPADLET |ISTMP#2|
                                        (QCDR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
+                                      (AND (CONSP |ISTMP#2|)
                                        (PROGN
                                          (SPADLET |dol|
                                           (QCAR |ISTMP#2|))
                                          (SPADLET |ISTMP#3|
                                           (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
+                                         (AND (CONSP |ISTMP#3|)
                                           (PROGN
                                             (SPADLET |index|
                                              (QCAR |ISTMP#3|))
@@ -8171,11 +8203,11 @@
     (RETURN
       (COND
         ((VECP |x|) (|devaluate| |x|))
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |dollar| (QCAR |x|))
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |slotNumber| (QCAR |ISTMP#1|))
                        (SPADLET |form| (QCDR |ISTMP#1|))
@@ -8197,10 +8229,10 @@
              ((EQL |x| 0) (CONS '$ NIL))
              ((integerp |x|) (|formatLazyDomain| |dom| (ELT |dom| |x|)))
              ((ATOM |x|) |x|)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'NRTEVAL)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'NRTEVAL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
               (COND ((ATOM |y|) (CONS |y| NIL)) ('T |y|)))
              ('T
@@ -8358,7 +8390,7 @@
                              (|pmTransFilter|
                                  (|dbGetInputString| |htPage|))))
                 (COND
-                  ((AND (PAIRP |filter|) (EQ (QCAR |filter|) '|error|))
+                  ((AND (CONSP |filter|) (EQ (QCAR |filter|) '|error|))
                    (|bcErrorPage| |filter|))
                   ('T
                    (SPADLET |opAlist|
@@ -8621,11 +8653,11 @@
                 (SPADLET |opAlist|
                          (|dbSelectData| |htPage| |opAlist| |key|))))
              (COND
-               ((AND (INTEGERP |key|) (PAIRP |opAlist|)
+               ((AND (INTEGERP |key|) (CONSP |opAlist|)
                      (EQ (QCDR |opAlist|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |opAlist|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |con| (QCAR |ISTMP#1|))
                               'T)))
@@ -9146,19 +9178,19 @@
                                        (PROGN
                                          (SPADLET |keyword|
                                           (COND
-                                            ((AND (PAIRP |x|)
+                                            ((AND (CONSP |x|)
                                               (EQ (QCAR |x|) '|:|)
                                               (PROGN
                                                 (SPADLET |ISTMP#1|
                                                  (QCDR |x|))
-                                                (AND (PAIRP |ISTMP#1|)
+                                                (AND (CONSP |ISTMP#1|)
                                                  (PROGN
                                                    (SPADLET |y|
                                                     (QCAR |ISTMP#1|))
                                                    (SPADLET |ISTMP#2|
                                                     (QCDR |ISTMP#1|))
                                                    (AND
-                                                    (PAIRP |ISTMP#2|)
+                                                    (CONSP |ISTMP#2|)
                                                     (EQ
                                                      (QCDR |ISTMP#2|)
                                                      NIL)
@@ -9190,13 +9222,13 @@
                                               (|sublisFormal| |args|
                                                |atype|))
                                              (COND
-                                               ((AND (PAIRP |x|)
+                                               ((AND (CONSP |x|)
                                                  (EQ (QCAR |x|) 'QUOTE)
                                                  (PROGN
                                                    (SPADLET |ISTMP#1|
                                                     (QCDR |x|))
                                                    (AND
-                                                    (PAIRP |ISTMP#1|)
+                                                    (CONSP |ISTMP#1|)
                                                     (EQ
                                                      (QCDR |ISTMP#1|)
                                                      NIL)
@@ -9369,13 +9401,13 @@
                                               |atype|))
                                             (SPADLET |arg|
                                              (COND
-                                               ((AND (PAIRP |x|)
+                                               ((AND (CONSP |x|)
                                                  (EQ (QCAR |x|) 'QUOTE)
                                                  (PROGN
                                                    (SPADLET |ISTMP#1|
                                                     (QCDR |x|))
                                                    (AND
-                                                    (PAIRP |ISTMP#1|)
+                                                    (CONSP |ISTMP#1|)
                                                     (EQ
                                                      (QCDR |ISTMP#1|)
                                                      NIL)
@@ -9678,11 +9710,11 @@
                                            ('T (ELT |r| 1))))
                                         (SPADLET |tail|
                                          (COND
-                                           ((AND (PAIRP |item|)
+                                           ((AND (CONSP |item|)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |item|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCAR |ISTMP#1|)
                                                  'ASCONST))))
                                             'ASCONST)
@@ -10029,7 +10061,7 @@
                                                           (EXIT
                                                            (COND
                                                              ((AND
-                                                               (PAIRP
+                                                               (CONSP
                                                                 |x|)
                                                                (PROGN
                                                                  (SPADLET
@@ -10037,7 +10069,7 @@
                                                                   (QCAR
                                                                    |x|))
                                                                  (AND
-                                                                  (PAIRP
+                                                                  (CONSP
                                                                    |ISTMP#1|)
                                                                   (EQUAL
                                                                    (QCAR
@@ -10049,7 +10081,7 @@
                                                                      (QCDR
                                                                     |ISTMP#1|))
                                                                     (AND
-                                                                     (PAIRP
+                                                                     (CONSP
                                                                      |ISTMP#2|)
                                                                      (EQUAL
                                                                       (QCAR
@@ -10092,7 +10124,7 @@
                                       NIL))
                                 (NREVERSE0 G171512))
                              (SEQ (EXIT (COND
-                                          ((AND (PAIRP |x|)
+                                          ((AND (CONSP |x|)
                                             (EQUAL (QCAR |x|) |sig|))
                                            (SETQ G171512
                                             (CONS |x| G171512))))))))))
@@ -10873,14 +10905,14 @@
                        |condata|)))
              (SPADLET |base| (SPADDIFFERENCE 8192))
              (SPADLET |exactlyOneOpSig|
-                      (AND (PAIRP |opAlist|) (EQ (QCDR |opAlist|) NIL)
+                      (AND (CONSP |opAlist|) (EQ (QCDR |opAlist|) NIL)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCAR |opAlist|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (PROGN
                                     (SPADLET |ISTMP#2|
                                      (QCDR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
+                                    (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)))))))
              (|htSaySaturn| "\\begin{description}")
              (DO ((G171988 |opAlist| (CDR G171988))
@@ -11556,7 +11588,7 @@
                                               "operation")
                                              (COND
                                                ((NULL
-                                                 (AND (PAIRP |sig|)
+                                                 (AND (CONSP |sig|)
                                                   (EQ (QCAR |sig|)
                                                    '|Mapping|)))
                                                 (|sayBrightly|
@@ -11658,11 +11690,11 @@
                                          ('T
                                           (SPADLET |u|
                                            (COND
-                                             ((AND (PAIRP |tail|)
+                                             ((AND (CONSP |tail|)
                                                (PROGN
                                                  (SPADLET |ISTMP#1|
                                                   (QCDR |tail|))
-                                                 (AND (PAIRP |ISTMP#1|)
+                                                 (AND (CONSP |ISTMP#1|)
                                                   (PROGN
                                                     (SPADLET |origin|
                                                      (QCAR |ISTMP#1|))
@@ -11737,11 +11769,11 @@
                                   G172408)
                                (SEQ (EXIT
                                      (COND
-                                       ((AND (PAIRP |y|)
+                                       ((AND (CONSP |y|)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCAR |y|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (EQ (QCAR |ISTMP#1|)
                                              '|attribute|)
                                             (EQUAL (QCDR |ISTMP#1|)
@@ -11775,7 +11807,7 @@
 (DEFUN |evalableConstructor2HtString,unquote| (|arg|)
   (PROG (|f| |args|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |arg|)
+      (SEQ (IF (AND (CONSP |arg|)
                     (PROGN
                       (SPADLET |f| (QCAR |arg|))
                       (SPADLET |args| (QCDR |arg|))
@@ -11917,10 +11949,10 @@
                  (SPADLET |$fortInts2Floats| NIL)
                  (SPADLET |form| (|niladicHack| |form|))
                  (COND
-                   ((AND (PAIRP |form|) (EQ (QCAR |form|) 'QUOTE)
+                   ((AND (CONSP |form|) (EQ (QCAR |form|) 'QUOTE)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |form|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |a| (QCAR |ISTMP#1|))
@@ -11942,21 +11974,21 @@
                                     (EXIT
                                      (SETQ G172582
                                       (STRCONC G172582 G172529)))))))))
-                   ((AND (PAIRP |form|) (EQ (QCAR |form|) 'BRACKET)
+                   ((AND (CONSP |form|) (EQ (QCAR |form|) 'BRACKET)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |form|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCAR |ISTMP#2|) 'AGGLST)
                                        (PROGN
                                          (SPADLET |arg|
                                           (QCDR |ISTMP#2|))
                                          'T))))))
                     (COND
-                      ((AND (PAIRP |arg|)
+                      ((AND (CONSP |arg|)
                             (EQ (QCAR |arg|) '|construct|)
                             (PROGN (SPADLET |r| (QCDR |arg|)) 'T))
                        (SPADLET |arg| |r|)))
@@ -11980,13 +12012,13 @@
                                         (COND
                                           ((SPADLET |y|
                                             (COND
-                                              ((AND (PAIRP |x|)
+                                              ((AND (CONSP |x|)
                                                 (EQ (QCAR |x|) 'QUOTE)
                                                 (PROGN
                                                   (SPADLET |ISTMP#1|
                                                    (QCDR |x|))
                                                   (AND
-                                                   (PAIRP |ISTMP#1|)
+                                                   (CONSP |ISTMP#1|)
                                                    (EQ (QCDR |ISTMP#1|)
                                                     NIL)
                                                    (PROGN
@@ -12017,24 +12049,24 @@
                                         (STRINGIMAGE |x|))))))))))
                     (STRCONC "[" (STRINGIMAGE (CAR |arg|))
                              |tailPart| "]"))
-                   ((AND (PAIRP |form|) (EQ (QCAR |form|) 'BRACKET)
+                   ((AND (CONSP |form|) (EQ (QCAR |form|) 'BRACKET)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |form|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCAR |ISTMP#2|) 'AGGLST)
                                        (PROGN
                                          (SPADLET |ISTMP#3|
                                           (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
+                                         (AND (CONSP |ISTMP#3|)
                                           (EQ (QCAR |ISTMP#3|) 'QUOTE)
                                           (PROGN
                                             (SPADLET |ISTMP#4|
                                              (QCDR |ISTMP#3|))
-                                            (AND (PAIRP |ISTMP#4|)
+                                            (AND (CONSP |ISTMP#4|)
                                              (EQ (QCDR |ISTMP#4|) NIL)
                                              (PROGN
                                                (SPADLET |arg|
@@ -12087,7 +12119,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |form|) |form|)
-             ((AND (PAIRP |form|) (EQ (QCDR |form|) NIL)
+             ((AND (CONSP |form|) (EQ (QCDR |form|) NIL)
                    (PROGN (SPADLET |x| (QCAR |form|)) 'T)
                    (GETL |x| 'NILADIC))
               |x|)
@@ -12329,7 +12361,7 @@
   (PROG (|op| |argl| |k| |arg| |a| |attPredIndex|)
   (declare (special |$predicateList|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |pred|)
+      (SEQ (IF (AND (CONSP |pred|)
                     (PROGN
                       (SPADLET |op| (QCAR |pred|))
                       (SPADLET |argl| (QCDR |pred|))
@@ -12441,7 +12473,7 @@
 (DEFUN |evalDomainOpPred,convert| (|dom| |pred|)
   (PROG (|op| |argl| |arg| |p| |ISTMP#1| |a|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |pred|)
+      (SEQ (IF (AND (CONSP |pred|)
                     (PROGN
                       (SPADLET |op| (QCAR |pred|))
                       (SPADLET |argl| (QCDR |pred|))
@@ -12503,11 +12535,11 @@
                                        (SPADLET |p| (CADR |argl|))
                                        |argl|)
                                      (IF
-                                      (AND (PAIRP |p|)
+                                      (AND (CONSP |p|)
                                        (EQ (QCAR |p|) 'ATTRIBUTE)
                                        (PROGN
                                          (SPADLET |ISTMP#1| (QCDR |p|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |a|
@@ -12581,10 +12613,10 @@
   (PROG (|kind| |ISTMP#2| |middle| |ISTMP#1| |r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'CATEGORY)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'CATEGORY)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |kind| (QCAR |ISTMP#1|))
                             (SPADLET |r| (QCDR |ISTMP#1|))
@@ -12607,14 +12639,14 @@
                              "an element of ")
                             ('T "a domain of ")))))
               (COND
-                ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Join|)
+                ((AND (CONSP |u|) (EQ (QCAR |u|) '|Join|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |u|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
                                'T)
-                             (PAIRP |ISTMP#2|)
+                             (CONSP |ISTMP#2|)
                              (PROGN
                                (SPADLET |r| (QCAR |ISTMP#2|))
                                (SPADLET |middle| (QCDR |ISTMP#2|))
@@ -12634,10 +12666,10 @@
                                    (|htSay| ", ")
                                    (|bcConform| |x| 'T)))))
                     (COND
-                      ((AND (PAIRP |r|) (EQ (QCAR |r|) 'CATEGORY)
+                      ((AND (CONSP |r|) (EQ (QCAR |r|) 'CATEGORY)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |r|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |r| (QCDR |ISTMP#1|))
                                      'T))))
@@ -12648,10 +12680,10 @@
                    ('T (|htSay| "category ")
                     (|bcConform| (CAR |middle|) 'T)
                     (COND
-                      ((AND (PAIRP |r|) (EQ (QCAR |r|) 'CATEGORY)
+                      ((AND (CONSP |r|) (EQ (QCAR |r|) 'CATEGORY)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |r|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |r| (QCDR |ISTMP#1|))
                                      'T))))
@@ -12696,17 +12728,17 @@
                   (SEQ (EXIT (PROGN
                                (|htSay| "\\newline ")
                                (COND
-                                 ((AND (PAIRP |x|)
+                                 ((AND (CONSP |x|)
                                        (EQ (QCAR |x|) 'SIGNATURE)
                                        (PROGN
                                          (SPADLET |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (PROGN
                                             (SPADLET |op|
                                              (QCAR |ISTMP#1|))
                                             (SPADLET |ISTMP#2|
                                              (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
+                                            (AND (CONSP |ISTMP#2|)
                                              (EQ (QCDR |ISTMP#2|) NIL)
                                              (PROGN
                                                (SPADLET |sig|
@@ -12727,11 +12759,11 @@
                                        NIL))
                                   (|htSay| ": ")
                                   (|bcConform| (CONS '|Mapping| |sig|)))
-                                 ((AND (PAIRP |x|)
+                                 ((AND (CONSP |x|)
                                        (EQ (QCAR |x|) 'ATTRIBUTE)
                                        (PROGN
                                          (SPADLET |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |a|
@@ -12748,7 +12780,7 @@
                                             (CONS |s| NIL))))
                                          NIL))
                                        NIL)))
-                                 ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF))
+                                 ((AND (CONSP |x|) (EQ (QCAR |x|) 'IF))
                                   (|htSay| "{\\em if ...}"))
                                  ('T (|systemError|))))))))))))))
 
@@ -12760,7 +12792,7 @@
   (PROG (|op| |u|)
     (RETURN
       (COND
-        ((AND (PAIRP |pred|)
+        ((AND (CONSP |pred|)
               (PROGN
                 (SPADLET |op| (QCAR |pred|))
                 (SPADLET |u| (QCDR |pred|))
@@ -12785,10 +12817,10 @@
   (PROG (|ISTMP#1| |target| |source| |op|)
     (RETURN
       (COND
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Mapping|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Mapping|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |target| (QCAR |ISTMP#1|))
                        (SPADLET |source| (QCDR |ISTMP#1|))
@@ -12798,7 +12830,7 @@
          (|htSayArgument| |target|))
         ((BOOT-EQUAL |t| '(|Category|))
          (|htSay| "a category"))
-        ((OR (AND (PAIRP |t|) (PROGN (SPADLET |op| (QCAR |t|)) 'T)
+        ((OR (AND (CONSP |t|) (PROGN (SPADLET |op| (QCAR |t|)) 'T)
                   (member |op| '(|Join| CATEGORY)))
              (|constructor?| (|opOf| |t|)))
          (|htSayConstructor| NIL |t|))
@@ -12916,7 +12948,7 @@
            (SPADLET |s| (SUBSTRING |doc| |k| (SPADDIFFERENCE |n| |k|)))
            (SPADLET |parse| (|ncParseFromString| |s|))
            (COND
-             ((AND (PAIRP |parse|) (EQUAL (QCAR |parse|) |op|)
+             ((AND (CONSP |parse|) (EQUAL (QCAR |parse|) |op|)
                    (BOOT-EQUAL (|#| |parse|) (|#| |sig|)))
               |parse|)))
           ('T NIL))))))
@@ -13016,7 +13048,7 @@
                     |$ElementList| |$DomainList|)) 
     (RETURN
       (COND
-        ((AND (PAIRP |typ|) (EQ (QCAR |typ|) '|Mapping|))
+        ((AND (CONSP |typ|) (EQ (QCAR |typ|) '|Mapping|))
          (SPADLET |x| (CAR |$FunctionList|))
          (SPADLET |$FunctionList| (CDR |$FunctionList|)) |x|)
         ('T (SPADLET |name| (|opOf| |typ|))
@@ -13101,10 +13133,10 @@
                       (PROGN (SETQ |x| (CAR G173242)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |x|)
+                            ((AND (CONSP |x|)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |.| (QCDR |ISTMP#1|))
                                        'T))))
@@ -13133,13 +13165,13 @@
                                                (SEQ
                                                 (EXIT
                                                  (COND
-                                                   ((AND (PAIRP |y|)
+                                                   ((AND (CONSP |y|)
                                                      (PROGN
                                                        (SPADLET
                                                         |ISTMP#1|
                                                         (QCDR |y|))
                                                        (AND
-                                                        (PAIRP
+                                                        (CONSP
                                                          |ISTMP#1|)
                                                         (PROGN
                                                           (SPADLET |.|
@@ -13387,17 +13419,17 @@
                            "constructors use"))
               (SPADLET |suffix|
                        (COND
-                         ((AND (PAIRP |opAlist|)
+                         ((AND (CONSP |opAlist|)
                                (EQ (QCDR |opAlist|) NIL)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCAR |opAlist|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (PROGN
                                         (SPADLET |op1|
                                          (QCAR |ISTMP#1|))
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL))))))
                           (CONS " operation {\\em "
                                 (CONS (|escapeSpecialChars|
@@ -13601,7 +13633,7 @@
                                         (COND
                                           ((OR
                                             (NULL
-                                             (AND (PAIRP |item|)
+                                             (AND (CONSP |item|)
                                               (PROGN
                                                 (SPADLET |n|
                                                  (QCAR |item|))
@@ -13632,7 +13664,7 @@
                                                      (ELT |template|
                                                       |whereNumber|))
                                                     (AND
-                                                     (PAIRP |ISTMP#1|)
+                                                     (CONSP |ISTMP#1|)
                                                      (EQUAL
                                                       (QCAR |ISTMP#1|)
                                                       |$conname|))))
@@ -13730,12 +13762,12 @@
   (declare (special |$conname|))
     (RETURN
       (COND
-        ((AND (PAIRP |signumList|)
+        ((AND (CONSP |signumList|)
               (PROGN
                 (SPADLET |subject| (QCAR |signumList|))
                 (SPADLET |r| (QCDR |signumList|))
                 'T)
-              (PAIRP |sig|)
+              (CONSP |sig|)
               (PROGN
                 (SPADLET |pattern| (QCAR |sig|))
                 (SPADLET |s| (QCDR |sig|))
@@ -13748,7 +13780,7 @@
               ('T NIL)))
            ((BOOT-EQUAL |pattern| '$)
             (COND
-              ((AND (PAIRP |subject|)
+              ((AND (CONSP |subject|)
                     (EQUAL (QCAR |subject|) |$conname|))
                (|whoUsesMatch1?| |r| |s|
                    (CONS (CONS '$ |subject|) |al|)))
@@ -14708,7 +14740,7 @@
         (SPADLET |sig| (CDR |dcSig|))
         (SPADLET |partial?|
                  (COND
-                   ((AND (PAIRP |conds|) (EQ (QCAR |conds|) '|partial|)
+                   ((AND (CONSP |conds|) (EQ (QCAR |conds|) '|partial|)
                          (PROGN (SPADLET |r| (QCDR |conds|)) 'T))
                     (SPADLET |conds| |r|))
                    ('T NIL)))
@@ -14755,10 +14787,10 @@
   (PROG (|r|)
     (RETURN
       (COND
-        ((AND (PAIRP |conds|) (EQ (QCAR |conds|) 'OR)
+        ((AND (CONSP |conds|) (EQ (QCAR |conds|) 'OR)
               (PROGN (SPADLET |r| (QCDR |conds|)) 'T))
          (|modemap2SigConds| (CAR |r|)))
-        ((AND (PAIRP |conds|) (EQ (QCAR |conds|) 'AND)
+        ((AND (CONSP |conds|) (EQ (QCAR |conds|) 'AND)
               (PROGN (SPADLET |r| (QCDR |conds|)) 'T))
          |r|)
         ('T (CONS |conds| NIL))))))
@@ -14816,12 +14848,12 @@
                                    G174389)
                                 (SEQ (EXIT
                                       (COND
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (PROGN
                                             (SPADLET |k| (QCAR |x|))
                                             (SPADLET |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQUAL (QCAR |ISTMP#1|)
                                               |dc|)))
                                           (member |k|
@@ -14863,13 +14895,13 @@
   (PROG (|item| |r| |s| |LETTMP#1| |key| |v| |f|)
     (RETURN
       (COND
-        ((AND (PAIRP |u|)
+        ((AND (CONSP |u|)
               (PROGN
                 (SPADLET |item| (QCAR |u|))
                 (SPADLET |r| (QCDR |u|))
                 'T))
          (COND
-           ((AND (PAIRP |item|) (EQ (QCAR |item|) 'AND)
+           ((AND (CONSP |item|) (EQ (QCAR |item|) 'AND)
                  (PROGN (SPADLET |s| (QCDR |item|)) 'T))
             (SPADLET |LETTMP#1| (|getSigSubst| |s| |pl| |vl| |fl|))
             (SPADLET |pl| (CAR |LETTMP#1|))
@@ -14971,7 +15003,7 @@
                 (SPADLET |key| '|y|)))
              (SPADLET |filter| (|pmTransFilter| (STRINGIMAGE |s|)))
              (COND
-               ((AND (PAIRP |filter|) (EQ (QCAR |filter|) '|error|))
+               ((AND (CONSP |filter|) (EQ (QCAR |filter|) '|error|))
                 |filter|)
                ('T (SPADLET |pattern| (|mkGrepPattern| |filter| |key|))
                 (|grepConstructDo| |pattern| |key|))))))))
@@ -15177,7 +15209,7 @@
   (declare (special |$key|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pattern|)
+             ((AND (CONSP |pattern|)
                    (PROGN
                      (SPADLET |op| (QCAR |pattern|))
                      (SPADLET |argl| (QCDR |pattern|))
@@ -15185,7 +15217,7 @@
               (COND
                 ((BOOT-EQUAL |op| '|and|)
                  (DO ()
-                     ((NULL (AND (PAIRP |argl|)
+                     ((NULL (AND (CONSP |argl|)
                                  (PROGN
                                    (SPADLET |arg| (QCAR |argl|))
                                    (SPADLET |argl| (QCDR |argl|))
@@ -15305,7 +15337,7 @@
 (DEFUN |checkPmParse,fn| (|u|)
   (PROG (|op| |args|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |u|)
+      (SEQ (IF (AND (CONSP |u|)
                     (PROGN
                       (SPADLET |op| (QCAR |u|))
                       (SPADLET |args| (QCDR |u|))
@@ -15353,10 +15385,10 @@
 (DEFUN |dnForm,negate| (|s|)
   (PROG (|ISTMP#1| |argx|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |s|) (EQ (QCAR |s|) '|not|)
+      (SEQ (IF (AND (CONSP |s|) (EQ (QCAR |s|) '|not|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |s|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN
                              (SPADLET |argx| (QCAR |ISTMP#1|))
                              'T))))
@@ -15368,13 +15400,13 @@
     (RETURN
       (SEQ (COND
              ((STRINGP |x|) |x|)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|not|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|not|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |argl| (QCAR |ISTMP#1|)) 'T))))
               (COND
-                ((AND (PAIRP |argl|) (EQ (QCAR |argl|) '|or|)
+                ((AND (CONSP |argl|) (EQ (QCAR |argl|) '|or|)
                       (PROGN (SPADLET |orargs| (QCDR |argl|)) 'T))
                  (CONS '|and|
                        (PROG (G174703)
@@ -15392,7 +15424,7 @@
                                           (|dnForm|
                                            (|dnForm,negate| |u|))
                                           G174703)))))))))
-                ((AND (PAIRP |argl|) (EQ (QCAR |argl|) '|and|)
+                ((AND (CONSP |argl|) (EQ (QCAR |argl|) '|and|)
                       (PROGN (SPADLET |andargs| (QCDR |argl|)) 'T))
                  (CONS '|or|
                        (PROG (G174718)
@@ -15410,17 +15442,17 @@
                                           (|dnForm|
                                            (|dnForm,negate| |u|))
                                           G174718)))))))))
-                ((AND (PAIRP |argl|) (EQ (QCAR |argl|) '|not|)
+                ((AND (CONSP |argl|) (EQ (QCAR |argl|) '|not|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |argl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |notargl| (QCAR |ISTMP#1|))
                                'T))))
                  (|dnForm| |notargl|))
                 ('T |x|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|or|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|or|)
                    (PROGN (SPADLET |argl1| (QCDR |x|)) 'T))
               (CONS '|or|
                     (PROG (G174733)
@@ -15435,7 +15467,7 @@
                              (NREVERSE0 G174733))
                           (SEQ (EXIT (SETQ G174733
                                       (CONS (|dnForm| |u|) G174733)))))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|and|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|and|)
                    (PROGN (SPADLET |argl2| (QCDR |x|)) 'T))
               (CONS '|and|
                     (PROG (G174748)
@@ -15463,7 +15495,7 @@
 (DEFUN |pmParseFromString,flatten| (|s|)
   (PROG (|op| |argl|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |s|)
+      (SEQ (IF (AND (CONSP |s|)
                     (PROGN
                       (SPADLET |op| (QCAR |s|))
                       (SPADLET |argl| (QCDR |s|))
@@ -15673,7 +15705,7 @@
                                                                                "/algebra/libdb.text")))))
              (SPADLET CONS (SPADLET |atts| (SPADLET |doms| NIL)))
              (DO ()
-                 ((NULL (AND (PAIRP |lines|)
+                 ((NULL (AND (CONSP |lines|)
                              (PROGN
                                (SPADLET |line| (QCAR |lines|))
                                (SPADLET |lines| (QCDR |lines|))
@@ -15848,7 +15880,7 @@
   (declare (special |$options| |$wild1|))
     (RETURN
       (SEQ (SPADLET |one|
-                    (SEQ (IF (AND (AND (PAIRP |$options|)
+                    (SEQ (IF (AND (AND (CONSP |$options|)
                                        (PROGN
                                          (SPADLET |x|
                                           (QCAR |$options|))
@@ -15941,7 +15973,7 @@
   (PROG (|s| |ISTMP#1| |p| |r|)
   (declare (special |$wild1| |$options|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |sl|)
+      (SEQ (IF (AND (CONSP |sl|)
                     (PROGN
                       (SPADLET |s| (QCAR |sl|))
                       (SPADLET |r| (QCDR |sl|))
@@ -15952,10 +15984,10 @@
            (IF (NULL (member '|w| |$options|))
                (IF (NEQUAL (CAR |res|) "")
                    (SPADLET |res| (CONS "`" |res|))
-                   (IF (AND (AND (PAIRP |res|)
+                   (IF (AND (AND (CONSP |res|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |res|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (PROGN
                                       (SPADLET |p| (QCAR |ISTMP#1|))
                                       (SPADLET |r| (QCDR |ISTMP#1|))
@@ -16072,13 +16104,13 @@
                                              (|sublisFormal| |args|
                                               |atype|))
                                             (COND
-                                              ((AND (PAIRP |x|)
+                                              ((AND (CONSP |x|)
                                                 (EQ (QCAR |x|) 'QUOTE)
                                                 (PROGN
                                                   (SPADLET |ISTMP#1|
                                                    (QCDR |x|))
                                                   (AND
-                                                   (PAIRP |ISTMP#1|)
+                                                   (CONSP |ISTMP#1|)
                                                    (EQ (QCDR |ISTMP#1|)
                                                     NIL)
                                                    (PROGN
@@ -16285,7 +16317,7 @@
                        (|grepConstruct| (STRINGIMAGE |filter|)
                            (INTERN "." "BOOT") 'T))
               (COND
-                ((AND (PAIRP |regSearchAlist|)
+                ((AND (CONSP |regSearchAlist|)
                       (EQ (QCAR |regSearchAlist|) '|error|))
                  (|bcErrorPage| |regSearchAlist|))
                 ('T (SPADLET |key| (|removeSurroundingStars| |filter|))
@@ -16294,7 +16326,7 @@
                        (SPADLET |docSearchAlist|
                                 (|grepConstruct| |key| '|w| 'T))
                        (COND
-                         ((AND (PAIRP |docSearchAlist|)
+                         ((AND (CONSP |docSearchAlist|)
                                (EQ (QCAR |docSearchAlist|) '|error|))
                           (|bcErrorPage| |docSearchAlist|))
                          ('T
@@ -16453,7 +16485,7 @@
                                                 (SETQ G175306
                                                  (CONS |pair|
                                                   G175306))))))))))
-                            (NULL (AND (PAIRP |nonEmpties|)
+                            (NULL (AND (CONSP |nonEmpties|)
                                        (EQ (QCDR |nonEmpties|) NIL)
                                        (PROGN
                                          (SPADLET |pair|
@@ -16971,7 +17003,7 @@
       (PROGN
         (SPADLET |item|
                  (COND
-                   ((AND (PAIRP |options|)
+                   ((AND (CONSP |options|)
                          (PROGN
                            (SPADLET |x| (QCAR |options|))
                            (SPADLET |options| (QCDR |options|))
@@ -17012,7 +17044,7 @@
               (SPADLET |docSearchAlist|
                        (|grepConstruct| |filter| '|w| 'T))
               (COND
-                ((AND (PAIRP |docSearchAlist|)
+                ((AND (CONSP |docSearchAlist|)
                       (EQ (QCAR |docSearchAlist|) '|error|))
                  (|bcErrorPage| |docSearchAlist|))
                 ('T
@@ -17182,25 +17214,25 @@
       (PROGN
         (|htSay| "{\\em ")
         (COND
-          ((AND (PAIRP |message|)
+          ((AND (CONSP |message|)
                 (PROGN
                   (SPADLET |leftEnd| (QCAR |message|))
                   (SPADLET |ISTMP#1| (QCDR |message|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |left| (QCAR |ISTMP#1|))
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |middle| (QCAR |ISTMP#2|))
                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                (AND (PAIRP |ISTMP#3|)
+                                (AND (CONSP |ISTMP#3|)
                                      (PROGN
                                        (SPADLET |right|
                                         (QCAR |ISTMP#3|))
                                        (SPADLET |ISTMP#4|
                                         (QCDR |ISTMP#3|))
-                                       (AND (PAIRP |ISTMP#4|)
+                                       (AND (CONSP |ISTMP#4|)
                                         (EQ (QCDR |ISTMP#4|) NIL)
                                         (PROGN
                                           (SPADLET |rightEnd|
@@ -17512,7 +17544,7 @@
                                   (PROGN
                                     (SPADLET |ISTMP#1|
                                      (|string2Words| |filter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |s| (QCAR |ISTMP#1|))
@@ -17583,12 +17615,12 @@
                      ((NULL (PROGN
                               (SPADLET |ISTMP#1|
                                        (|dbWordFrom| |l| |i|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |w| (QCAR |ISTMP#1|))
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |i| (QCAR |ISTMP#2|))
@@ -17768,10 +17800,10 @@
   (PROG (|r| |count|)
     (RETURN
       (COND
-        ((AND (PAIRP |lines|) (EQ (QCAR |lines|) '|error|))
+        ((AND (CONSP |lines|) (EQ (QCAR |lines|) '|error|))
          (|bcErrorPage| |lines|))
         ((NULL |filter|) NIL)
-        ((AND (PAIRP |lines|) (EQ (QCAR |lines|) '|Abbreviations|)
+        ((AND (CONSP |lines|) (EQ (QCAR |lines|) '|Abbreviations|)
               (PROGN (SPADLET |r| (QCDR |lines|)) 'T))
          (|dbSearchAbbrev| |lines| |kind| |filter|))
         ('T
@@ -17842,10 +17874,10 @@
                                            (SETQ G176192
                                             (CONS |x| G176192))))))))))))
                 (COND
-                  ((AND (PAIRP |conlist|) (EQ (QCDR |conlist|) NIL)
+                  ((AND (CONSP |conlist|) (EQ (QCDR |conlist|) NIL)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCAR |conlist|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |nam| (QCAR |ISTMP#1|))
                                  'T))))
@@ -18150,7 +18182,7 @@
       (AND (PROGN
              (SPADLET |ISTMP#1|
                       (LASSOC |key| (|htpInputAreaAlist| |htPage|)))
-             (AND (PAIRP |ISTMP#1|)
+             (AND (CONSP |ISTMP#1|)
                   (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T)))
            (BOOT-EQUAL |a| " t")))))
 
@@ -18531,7 +18563,7 @@
              (SPADLET |dash| (|char| '-))
              (SPADLET |acc| NIL)
              (DO ()
-                 ((NULL (AND (PAIRP |lines|)
+                 ((NULL (AND (CONSP |lines|)
                              (PROGN
                                (SPADLET |line| (QCAR |lines|))
                                (SPADLET |lines| (QCDR |lines|))
@@ -18888,11 +18920,11 @@
                             (SPADLET |a| (CAR |l|))
                             (SPADLET |b| (CADR |l|))
                             |l|)
-                          (IF (AND (AND (PAIRP |b|)
+                          (IF (AND (AND (CONSP |b|)
                                     (EQ (QCAR |b|) 'ATTRIBUTE)
                                     (PROGN
                                       (SPADLET |ISTMP#1| (QCDR |b|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (SPADLET |c| (QCAR |ISTMP#1|))
@@ -18906,7 +18938,7 @@
   (PROG (|op| |l| |ISTMP#1| |iprec| |rename|)
   (declare (special |$precList| |$emList|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |x|)
+      (SEQ (IF (AND (CONSP |x|)
                     (PROGN
                       (SPADLET |op| (QCAR |x|))
                       (SPADLET |l| (QCDR |x|))
@@ -18914,7 +18946,7 @@
                (EXIT (SEQ (IF (PROGN
                                 (SPADLET |ISTMP#1|
                                          (LASSOC |op| |$precList|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |iprec|
                                         (QCAR |ISTMP#1|))
@@ -18977,13 +19009,13 @@
   (PROG (|ISTMP#1| |a| |r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
               |a|)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'LIST)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'LIST)
                    (PROGN (SPADLET |r| (QCDR |u|)) 'T))
               (PROG (G176584)
                 (SPADLET G176584 NIL)
@@ -19196,20 +19228,20 @@
             (STRCONC "\"" (STRINGIMAGE |x|)
                      "\""))
            ('T (STRINGIMAGE |x|))))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
          (STRCONC "'" (|sexpr2LispString| |a|)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|:|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|:|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) 'T))))))
          (STRCONC (|form2LispString| |a|) ":"
                   (|form2LispString| |b|)))
@@ -19290,10 +19322,10 @@
                  (CADAR (GETDATABASE |x| 'CONSTRUCTORMODEMAP)))
         (COND
           ((BOOT-EQUAL |target| '(|Category|)) '|category|)
-          ((AND (PAIRP |target|) (EQ (QCAR |target|) 'CATEGORY)
+          ((AND (CONSP |target|) (EQ (QCAR |target|) 'CATEGORY)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |target|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (EQ (QCAR |ISTMP#1|) '|package|))))
            '|package|)
           ((HGET |$defaultPackageNamesHT| |x|) '|default package|)
@@ -19445,7 +19477,7 @@
   (PROG (|op| |argl|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |op| (QCAR |form|))
                      (SPADLET |argl| (QCDR |form|))
@@ -19729,11 +19761,11 @@
                               (|firstTime| (SPADLET |firstTime| NIL))
                               ('T (|htSaySaturn| "&")))
                             (COND
-                              ((AND (PAIRP |x|)
+                              ((AND (CONSP |x|)
                                     (PROGN
                                       (SPADLET |con| (QCAR |x|))
                                       (SPADLET |ISTMP#1| (QCDR |x|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |abb|
                                           (QCAR |ISTMP#1|))
@@ -19800,7 +19832,7 @@
                               ((PROGN
                                  (SPADLET |ISTMP#1|
                                           (|extractHasArgs| |pred|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (PROGN
                                         (SPADLET |arglist|
                                          (QCAR |ISTMP#1|))
@@ -19848,7 +19880,7 @@
 (DEFUN |extractHasArgs,find| (|x|)
   (PROG (|op| |argl|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |x|)
+      (SEQ (IF (AND (CONSP |x|)
                     (PROGN
                       (SPADLET |op| (QCAR |x|))
                       (SPADLET |argl| (QCDR |x|))
@@ -19911,7 +19943,7 @@
                (SEQ (EXIT (COND
                             ((NULL |pred|) '|skip|)
                             ((OR (BOOT-EQUAL |pred| 'T)
-                                 (AND (PAIRP |pred|)
+                                 (AND (CONSP |pred|)
                                       (EQ (QCAR |pred|) '|hasArgs|)))
                              (SPADLET |uncond| (CONS |pair| |uncond|)))
                             ('T (SPADLET |cond| (CONS |pair| |cond|)))))))
@@ -20046,12 +20078,12 @@
              (|bcHt| "\\newline ")
              (SPADLET |count|
                       (COND
-                        ((AND (PAIRP |countOrPrefix|)
+                        ((AND (CONSP |countOrPrefix|)
                               (PROGN
                                 (SPADLET |ISTMP#1|
                                          (REVERSE |countOrPrefix|))
                                 'T)
-                              (PAIRP |ISTMP#1|)
+                              (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |c| (QCAR |ISTMP#1|))
                                 (SPADLET |prefix| (QCDR |ISTMP#1|))
@@ -20216,7 +20248,7 @@
   (PROG (|r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|error|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|error|)
                    (PROGN (SPADLET |r| (QCDR |u|)) 'T))
               (|htInitPage| (CAR |r|) NIL) (|bcBlankLine|)
               (DO ((G177274 (CDR |r|) (CDR G177274)) (|x| NIL))
@@ -20586,7 +20618,7 @@
                                                         (EXIT
                                                          (COND
                                                            ((AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |x|)
                                                              (PROGN
                                                                (SPADLET
@@ -20677,7 +20709,7 @@
                                                           (EXIT
                                                            (COND
                                                              ((AND
-                                                               (PAIRP
+                                                               (CONSP
                                                                 |x|)
                                                                (PROGN
                                                                  (SPADLET
@@ -20950,7 +20982,7 @@
                                    G177606)
                                 (SEQ (EXIT
                                       (COND
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (PROGN
                                             (SPADLET |sig1| (QCAR |x|))
                                             'T)
@@ -21012,19 +21044,19 @@
                                          (EXIT
                                           (SETQ G177642
                                            (AND G177642
-                                            (AND (PAIRP |fn|)
+                                            (AND (CONSP |fn|)
                                              (EQ (QCAR |fn|) '|origin|)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |fn|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |orig|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)))))
                                              (OR
@@ -21096,16 +21128,16 @@
                (SEQ (EXIT (PROGN
                             (SPADLET |LETTMP#1|
                                      (COND
-                                       ((AND (PAIRP |item|)
+                                       ((AND (CONSP |item|)
                                          (EQ (QCAR |item|) '|origin|)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCDR |item|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (SPADLET |ISTMP#2|
                                                (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQ (QCDR |ISTMP#2|)
                                                 NIL)
                                                (PROGN
@@ -21204,7 +21236,7 @@
   (PROG (|r| |sig1|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Join|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Join|)
                    (PROGN (SPADLET |r| (QCDR |t|)) 'T))
               (PROG (G177819)
                 (SPADLET G177819 NIL)
@@ -21217,7 +21249,7 @@
                     (SEQ (EXIT (SETQ G177819
                                      (OR G177819
                                       (|dbInfoOrigin| |op| |sig| |x|)))))))))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) 'CATEGORY)) NIL)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) 'CATEGORY)) NIL)
              ((PROG (G177838)
                 (SPADLET G177838 NIL)
                 (RETURN
@@ -21313,14 +21345,14 @@
         (SPADLET |item| (ELT |alist| |binkey|))
         (SPADLET |alist|
                  (COND
-                   ((AND (PAIRP |item|) (EQ (QCAR |item|) '|origin|)
+                   ((AND (CONSP |item|) (EQ (QCAR |item|) '|origin|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |item|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |origin| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |s| (QCAR |ISTMP#2|))
@@ -21565,7 +21597,7 @@
                                                 (SETQ G178111
                                                  (AND G178111
                                                   (OR
-                                                   (AND (PAIRP |item|)
+                                                   (AND (CONSP |item|)
                                                     (PROGN
                                                       (SPADLET |sig|
                                                        (QCAR |item|))
@@ -21847,12 +21879,12 @@
 ;bcHt line ==
 ;  $newPage =>  --this path affects both saturn and old lines
 ;    text :=
-;      PAIRP line => [['text, :line]]
+;      CONSP line => [['text, :line]]
 ;      STRINGP line => line
 ;      [['text, line]]
 ;    if $saturn then htpAddToPageDescription($saturnPage, text)
 ;    if $standard then htpAddToPageDescription($curPage, text)
-;  PAIRP line =>
+;  CONSP line =>
 ;    $htLineList := NCONC(nreverse mapStringize COPY_-LIST line, $htLineList)
 ;  $htLineList := [basicStringize line, :$htLineList]
 
@@ -21865,7 +21897,7 @@
         (|$newPage|
             (SPADLET |text|
                      (COND
-                       ((PAIRP |line|)
+                       ((CONSP |line|)
                         (CONS (CONS '|text| |line|) NIL))
                        ((STRINGP |line|) |line|)
                        ('T (CONS (CONS '|text| (CONS |line| NIL)) NIL))))
@@ -21876,7 +21908,7 @@
               (|$standard|
                   (|htpAddToPageDescription| |$curPage| |text|))
               ('T NIL)))
-        ((PAIRP |line|)
+        ((CONSP |line|)
          (SPADLET |$htLineList|
                   (NCONC (NREVERSE (|mapStringize| (COPY-LIST |line|)))
                          |$htLineList|)))
@@ -22506,7 +22538,7 @@
                                      ((STRINGP |u|) |u|)
                                      ((ATOM |u|) (STRINGIMAGE |u|))
                                      ((STRINGP (CAR |u|)) |u|)
-                                     ((AND (PAIRP |u|)
+                                     ((AND (CONSP |u|)
                                        (EQ (QCAR |u|) '|text|)
                                        (PROGN
                                          (SPADLET |s| (QCDR |u|))
@@ -22571,22 +22603,22 @@
                 |text| |fs| |y| |t1| |t2| |t| |ISTMP#1| |r|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
+        ((AND (CONSP |x|) (EQ (QCDR |x|) NIL)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |kind| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (PROGN
                                      (SPADLET |s1| (QCAR |ISTMP#3|))
                                      (SPADLET |ISTMP#4|
                                       (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
+                                     (AND (CONSP |ISTMP#4|)
                                       (PROGN
                                         (SPADLET |s2| (QCAR |ISTMP#4|))
                                         (SPADLET |callTail|
@@ -22608,10 +22640,10 @@
                    (CONS |t1| (CONS |t2| (CONS |text| NIL)))))))
            ('T (SPADLET |t| (|mkDocLink| |fs| |s1|))
             (APPEND |t| |text|))))
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|text|)
+                (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|text|)
                      (PROGN (SPADLET |r| (QCDR |ISTMP#1|)) 'T))))
          |r|)
         ('T (|error| NIL))))))
@@ -22683,19 +22715,19 @@
       (COND
         ((STRINGP |x|) (CONS (|unTab| |x|) NIL))
         ((NULL |x|) NIL)
-        ((AND (PAIRP |r|)
+        ((AND (CONSP |r|)
               (PROGN
                 (SPADLET |s| (QCAR |r|))
                 (SPADLET |ISTMP#1| (QCDR |r|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |fn| (QCAR |ISTMP#1|)) 'T)))
               (BOOT-EQUAL |s| "\\unixcommand{"))
          (CONS "{\\it "
                (CONS |s| (CONS ".spad}" NIL))))
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|text|)
+                (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|text|)
                      (PROGN (SPADLET |s| (QCDR |ISTMP#1|)) 'T)))
               (PROGN (SPADLET |r| (QCDR |x|)) 'T))
          (|unTab| (APPEND |s| (|saturnTranText| |r|))))
@@ -22722,7 +22754,7 @@
     (RETURN
       (OR (LASSOC |callTail| |$callTailList|)
           (COND
-            ((AND (PAIRP |callTail|) (EQ (QCDR |callTail|) NIL)
+            ((AND (CONSP |callTail|) (EQ (QCDR |callTail|) NIL)
                   (PROGN (SPADLET |fn| (QCAR |callTail|)) 'T))
              |callTail|)
             ('T (|error| NIL)))))))
@@ -23334,9 +23366,6 @@
           ((NULL (|isExposedConstructor| |conname|))
            (SPADLET |heading|
                     (CONS "Unexposed " |heading|))))
-        (COND
-          ((BOOT-EQUAL |name| |abbrev|)
-           (SPADLET |abbrev| (|asyAbbreviation| |conname| |nargs|))))
         (SPADLET |page| (|htInitPageNoScroll| NIL))
         (|htAddHeading| |heading|)
         (|htSayStandard| '|\\beginscroll |)
@@ -24559,7 +24588,7 @@
                             (SPADLET |odd| (NULL |odd|))
                             (SPADLET |argstring|
                                      (COND
-                                       ((AND (PAIRP |$conArgstrings|)
+                                       ((AND (CONSP |$conArgstrings|)
                                          (PROGN
                                            (SPADLET |a|
                                             (QCAR |$conArgstrings|))
@@ -24657,16 +24686,16 @@
                             (|htSaySaturnAmpersand|)
                             (SPADLET |typeForm|
                                      (COND
-                                       ((AND (PAIRP |t|)
+                                       ((AND (CONSP |t|)
                                          (EQ (QCAR |t|) '|:|)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCDR |t|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (SPADLET |ISTMP#2|
                                                (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQ (QCDR |ISTMP#2|)
                                                 NIL)
                                                (PROGN
@@ -24981,7 +25010,7 @@
                     ('T (|htpProperty| |htPage| '|attrAlist|))))
          (SPADLET |empty?| (NULL |opAlist|))
          (SPADLET |one?|
-                  (AND (PAIRP |opAlist|) (EQ (QCDR |opAlist|) NIL)
+                  (AND (CONSP |opAlist|) (EQ (QCDR |opAlist|) NIL)
                        (PROGN (SPADLET |entry| (QCAR |opAlist|)) 'T)
                        (EQL 2 (|#| |entry|))))
          (SPADLET |one?| (OR |empty?| |one?|)) (|htBeginTable|)
@@ -25256,7 +25285,7 @@
                    ('T (|htpProperty| |htPage| '|attrAlist|))))
         (SPADLET |empty?| (NULL |opAlist|))
         (SPADLET |one?|
-                 (AND (PAIRP |opAlist|) (EQ (QCDR |opAlist|) NIL)
+                 (AND (CONSP |opAlist|) (EQ (QCDR |opAlist|) NIL)
                       (PROGN (SPADLET |entry| (QCAR |opAlist|)) 'T)
                       (EQL 2 (|#| |entry|))))
         (SPADLET |one?| (OR |empty?| |one?|))
@@ -26043,7 +26072,7 @@
                    (|htSaySaturn| "\\\\")))
              (COND
                ((AND |doc| (NEQUAL |doc| "")
-                     (OR (NULL (AND (PAIRP |doc|) (EQ (QCDR |doc|) NIL)
+                     (OR (NULL (AND (CONSP |doc|) (EQ (QCDR |doc|) NIL)
                                     (PROGN
                                       (SPADLET |d| (QCAR |doc|))
                                       'T)))
@@ -26218,7 +26247,7 @@
       (PROGN
         (SPADLET |pageDescription| (ELT |$saturnPage| 7))
         (COND
-          ((AND (PAIRP |pageDescription|)
+          ((AND (CONSP |pageDescription|)
                 (EQUAL (QCAR |pageDescription|) |s|)
                 (PROGN (SPADLET |b| (QCDR |pageDescription|)) 'T))
            (SETELT |$saturnPage| 7 (CDR |pageDescription|)))
@@ -26388,7 +26417,7 @@
   (PROG (|n|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |options|) (EQ (QCDR |options|) NIL)
+             ((AND (CONSP |options|) (EQ (QCDR |options|) NIL)
                    (PROGN (SPADLET |n| (QCAR |options|)) 'T))
               (|htSaySaturn|
                   (PROG (G179737)
@@ -26831,7 +26860,7 @@
                               (PROGN
                                 (SPADLET |ISTMP#1|
                                          (|getmode| |$op| |e|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|Mapping|))))
                          '|local|)
                         ('T '|exported|)))
@@ -26909,7 +26938,7 @@
         (SPADLET |op| (CADR G179951))
         (SPADLET |sig| (CADDR G179951))
         (COND
-          ((AND (PAIRP |sig|) (EQ (QCAR |sig|) '->))
+          ((AND (CONSP |sig|) (EQ (QCAR |sig|) '->))
            (PROGN
              (SPADLET |sig1| (|postType| |sig|))
              (SPADLET |op|
@@ -26934,13 +26963,13 @@
   (declare (special |$FormalFunctionParameterList|))
     (RETURN
       (COND
-        ((AND (PAIRP |sig|) (EQ (QCDR |sig|) NIL)
+        ((AND (CONSP |sig|) (EQ (QCDR |sig|) NIL)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |sig|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
+                (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |target| (QCAR |ISTMP#2|))
                               (SPADLET |r| (QCDR |ISTMP#2|))
@@ -27133,10 +27162,10 @@
   (PROG (|ISTMP#1| |form1| |pred|)
     (RETURN
       (COND
-        ((AND (PAIRP |form|) (EQ (QCAR |form|) '|ifp|)
+        ((AND (CONSP |form|) (EQ (QCAR |form|) '|ifp|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |form|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |form1| (QCAR |ISTMP#1|))
                        (SPADLET |pred| (QCDR |ISTMP#1|))
diff -Nru axiom-20110301a/src/interp/buildom.lisp.pamphlet axiom-20111101/src/interp/buildom.lisp.pamphlet
--- axiom-20110301a/src/interp/buildom.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/buildom.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -29,7 +29,7 @@
 ;isRecord type == type is ['Record,:.]
 
 (DEFUN |isRecord| (|type|)
-  (AND (PAIRP |type|) (EQ (QCAR |type|) '|Record|)))
+  (AND (CONSP |type|) (EQ (QCAR |type|) '|Record|)))
 
 ;RecordInner args ==
 ;  -- this is old and should be removed wherever it occurs
@@ -73,7 +73,7 @@
   (declare (special |$Expression|))
     (RETURN
       (SEQ (PROGN
-             (SPADLET |dom| (GETREFV 10))
+             (SPADLET |dom| (make-array 10))
              (SETELT |dom| 0
                      (CONS '|Record|
                            (PROG (G166069)
@@ -142,11 +142,11 @@
                      (COND
                        ((<= (SPADLET |n| (LENGTH |args|)) 2)
                         (CONS NIL NIL))
-                       ('T (GETREFV |n|))))
+                       ('T (make-array |n|))))
              |dom|)))))
 
 ;RecordEqual(x,y,dom) ==
-;  PAIRP x =>
+;  CONSP x =>
 ;    b:=
 ;       SPADCALL(CAR x, CAR y, CAR(dom.9) or
 ;                           CAR RPLACA(dom.9,findEqualFun(dom.5.0)))
@@ -164,7 +164,7 @@
   (PROG (|b| |equalfuns|)
     (RETURN
       (SEQ (COND
-             ((PAIRP |x|)
+             ((CONSP |x|)
               (SPADLET |b|
                        (SPADCALL (CAR |x|) (CAR |y|)
                            (OR (CAR (ELT |dom| 9))
@@ -327,7 +327,7 @@
   (declare (special |$Expression|))
     (RETURN
       (SEQ (PROGN
-             (SPADLET |dom| (GETREFV 9))
+             (SPADLET |dom| (make-array 9))
              (SETELT |dom| 0
                      (CONS '|Union|
                            (PROG (G166195)
@@ -344,19 +344,19 @@
                                        (SETQ G166195
                                         (CONS
                                          (COND
-                                           ((AND (PAIRP |a|)
+                                           ((AND (CONSP |a|)
                                              (EQ (QCAR |a|) '|:|)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |a|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |tag|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -446,7 +446,7 @@
                                   (SPADLET |same| (BOOT-EQUAL |x| |y|)))
                                  ('T
                                   (COND
-                                    ((AND (PAIRP |p|)
+                                    ((AND (CONSP |p|)
                                       (EQ (QCAR |p|) 'EQCAR))
                                      (SPADLET |x| (CDR |x|))
                                      (SPADLET |y| (CDR |y|))))
@@ -503,7 +503,7 @@
                                (RETURN
                                  (PROGN
                                    (COND
-                                     ((AND (PAIRP |p|)
+                                     ((AND (CONSP |p|)
                                        (EQ (QCAR |p|) 'EQCAR))
                                       (SPADLET |x| (CDR |x|))))
                                    (COND
@@ -545,7 +545,7 @@
   (declare (special |$Expression|))
     (RETURN
       (SEQ (PROGN
-             (SPADLET |dom| (GETREFV 9))
+             (SPADLET |dom| (make-array 9))
              (SETELT |dom| 0
                      (CONS '|Mapping|
                            (PROG (G166306)
@@ -651,7 +651,7 @@
   (declare (special |$Symbol| |$Expression|))
     (RETURN
       (PROGN
-        (SPADLET |dom| (GETREFV 9))
+        (SPADLET |dom| (make-array 9))
         (SETELT |dom| 0 (CONS '|Enumeration| |args|))
         (SETELT |dom| 1
                 (CONS (|function| |lookupInTable|)
@@ -1354,13 +1354,13 @@
              (COND
                ((PROGN
                   (SPADLET |ISTMP#1| (CAR |listOfEntries|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                (AND (PAIRP |ISTMP#3|)
+                                (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)))))))
                 (|mkNewUnionFunList| |op| |form| |e|))
                ('T
@@ -1417,7 +1417,7 @@
                                                    (CONS |t| NIL))
                                                   (CONS
                                                    (COND
-                                                     ((AND (PAIRP |p|)
+                                                     ((AND (CONSP |p|)
                                                        (EQ (QCAR |p|)
                                                         'EQCAR)
                                                        (PROGN
@@ -1425,7 +1425,7 @@
                                                           |ISTMP#1|
                                                           (QCDR |p|))
                                                          (AND
-                                                          (PAIRP
+                                                          (CONSP
                                                            |ISTMP#1|)
                                                           (PROGN
                                                             (SPADLET
@@ -1437,7 +1437,7 @@
                                                              (QCDR
                                                               |ISTMP#1|))
                                                             (AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |ISTMP#2|)
                                                              (EQ
                                                               (QCDR
@@ -1478,7 +1478,7 @@
                                                        (GENSYM))
                                                       (COND
                                                         ((AND
-                                                          (PAIRP |p|)
+                                                          (CONSP |p|)
                                                           (EQ
                                                            (QCAR |p|)
                                                            'EQCAR)
@@ -1487,7 +1487,7 @@
                                                              |ISTMP#1|
                                                              (QCDR |p|))
                                                             (AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |ISTMP#1|)
                                                              (PROGN
                                                                (SPADLET
@@ -1499,7 +1499,7 @@
                                                                 (QCDR
                                                                  |ISTMP#1|))
                                                                (AND
-                                                                (PAIRP
+                                                                (CONSP
                                                                  |ISTMP#2|)
                                                                 (EQ
                                                                  (QCDR
@@ -1559,7 +1559,7 @@
                                                     (CONS
                                                      (COND
                                                        ((AND
-                                                         (PAIRP |p|)
+                                                         (CONSP |p|)
                                                          (EQ (QCAR |p|)
                                                           'EQCAR)
                                                          (PROGN
@@ -1567,7 +1567,7 @@
                                                             |ISTMP#1|
                                                             (QCDR |p|))
                                                            (AND
-                                                            (PAIRP
+                                                            (CONSP
                                                              |ISTMP#1|)
                                                             (PROGN
                                                               (SPADLET
@@ -1579,7 +1579,7 @@
                                                                (QCDR
                                                                 |ISTMP#1|))
                                                               (AND
-                                                               (PAIRP
+                                                               (CONSP
                                                                 |ISTMP#2|)
                                                                (EQ
                                                                 (QCDR
@@ -1611,7 +1611,7 @@
                                                      (CONS
                                                       (COND
                                                         ((AND
-                                                          (PAIRP |p|)
+                                                          (CONSP |p|)
                                                           (EQ
                                                            (QCAR |p|)
                                                            'EQCAR)
@@ -1620,7 +1620,7 @@
                                                              |ISTMP#1|
                                                              (QCDR |p|))
                                                             (AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |ISTMP#1|)
                                                              (PROGN
                                                                (SPADLET
@@ -1632,7 +1632,7 @@
                                                                 (QCDR
                                                                  |ISTMP#1|))
                                                                (AND
-                                                                (PAIRP
+                                                                (CONSP
                                                                  |ISTMP#2|)
                                                                 (EQ
                                                                  (QCDR
diff -Nru axiom-20110301a/src/interp/category.lisp.pamphlet axiom-20111101/src/interp/category.lisp.pamphlet
--- axiom-20110301a/src/interp/category.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/category.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -138,7 +138,7 @@
       (SEQ (IF (EQ |v| '$) (EXIT |l|)) (IF (STRINGP |v|) (EXIT |l|))
            (IF (ATOM |v|) (EXIT (CONS |v| |l|)))
            (IF (member (CAR |v|) |$PrimitiveDomainNames|) (EXIT |l|))
-           (IF (AND (PAIRP |v|) (EQ (QCAR |v|) '|Union|)
+           (IF (AND (CONSP |v|) (EQ (QCAR |v|) '|Union|)
                     (PROGN (SPADLET |w| (QCDR |v|)) 'T))
                (EXIT (SEQ (DO ((G166101 (|stripUnionTags| |w|)
                                    (CDR G166101))
@@ -151,7 +151,7 @@
                             (SEQ (EXIT (SPADLET |l|
                                         (|sigParams,Prepare2| |x| |l|)))))
                           (EXIT |l|))))
-           (IF (AND (PAIRP |v|) (EQ (QCAR |v|) '|Mapping|)
+           (IF (AND (CONSP |v|) (EQ (QCAR |v|) '|Mapping|)
                     (PROGN (SPADLET |w| (QCDR |v|)) 'T))
                (EXIT (SEQ (DO ((G166110 |w| (CDR G166110))
                                (|x| NIL))
@@ -163,10 +163,10 @@
                             (SEQ (EXIT (SPADLET |l|
                                         (|sigParams,Prepare2| |x| |l|)))))
                           (EXIT |l|))))
-           (IF (AND (PAIRP |v|) (EQ (QCAR |v|) '|List|)
+           (IF (AND (CONSP |v|) (EQ (QCAR |v|) '|List|)
                     (PROGN (SPADLET |w| (QCDR |v|)) 'T))
                (EXIT (|sigParams,Prepare2| |w| |l|)))
-           (IF (AND (PAIRP |v|) (EQ (QCAR |v|) '|Record|)
+           (IF (AND (CONSP |v|) (EQ (QCAR |v|) '|Record|)
                     (PROGN (SPADLET |w| (QCDR |v|)) 'T))
                (EXIT (SEQ (DO ((G166119 |w| (CDR G166119))
                                (|x| NIL))
@@ -285,13 +285,13 @@
                             (SEQ (EXIT (SETQ G166221
                                         (CONS
                                          (COND
-                                           ((AND (PAIRP |s|)
+                                           ((AND (CONSP |s|)
                                              (PROGN
                                                (SPADLET |sig|
                                                 (QCAR |s|))
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |s|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -323,13 +323,13 @@
                                                        (SETQ G166245
                                                         (OR G166245
                                                          (AND
-                                                          (PAIRP |x|)
+                                                          (CONSP |x|)
                                                           (PROGN
                                                             (SPADLET
                                                              |ISTMP#1|
                                                              (QCAR |x|))
                                                             (AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |ISTMP#1|)
                                                              (EQUAL
                                                               (QCAR
@@ -341,7 +341,7 @@
                                                                 (QCDR
                                                                  |ISTMP#1|))
                                                                (AND
-                                                                (PAIRP
+                                                                (CONSP
                                                                  |ISTMP#2|)
                                                                 (PROGN
                                                                   (SPADLET
@@ -404,7 +404,7 @@
                                      (CONS (CONS |u| |count|)
                                       |OldLocals|))
                             (SPADLET |count| (PLUS |count| 1))))))
-             (SPADLET |v| (GETREFV |count|))
+             (SPADLET |v| (make-array |count|))
              (SETELT |v| 0 NIL)
              (SETELT |v| 1 |sigList|)
              (SETELT |v| 2 |attList|)
@@ -440,6 +440,49 @@
              |v|)))))
 
 \end{chunk}
+\subsection{mkOperatorEntry}
+\begin{chunk}{*}
+;mkOperatorEntry(domainOrPackage,opSig is [op,sig,:flag],pred,count) ==
+;  domainOrPackage^="domain" =>
+;    [opSig,pred,["PAC","$",name]] where
+;      name() == encodeFunctionName(op,domainOrPackage,sig,":",count)
+;  null flag => [opSig,pred,["ELT","$",count]]
+;  first flag="constant" => [[op,sig],pred,["CONST","$",count]]
+;  systemError ["unknown variable mode: ",flag]
+
+(DEFUN |mkOperatorEntry| (|domainOrPackage| |opSig| |pred| |count|)
+  (PROG (|op| |sig| |flag|)
+    (RETURN
+      (PROGN
+        (SPADLET |op| (CAR |opSig|))
+        (SPADLET |sig| (CADR |opSig|))
+        (SPADLET |flag| (CDDR |opSig|))
+        (COND
+          ((NEQUAL |domainOrPackage| '|domain|)
+           (CONS |opSig|
+                 (CONS |pred|
+                       (CONS (CONS 'PAC
+                                   (CONS '$
+                                    (CONS
+                                     (|encodeFunctionName| |op|
+                                      |domainOrPackage| |sig| '|:|
+                                      |count|)
+                                     NIL)))
+                             NIL))))
+          ((NULL |flag|)
+           (CONS |opSig|
+                 (CONS |pred|
+                       (CONS (CONS 'ELT (CONS '$ (CONS |count| NIL)))
+                             NIL))))
+          ((BOOT-EQUAL (CAR |flag|) '|constant|)
+           (CONS (CONS |op| (CONS |sig| NIL))
+                 (CONS |pred|
+                       (CONS (CONS 'CONST (CONS '$ (CONS |count| NIL)))
+                             NIL))))
+          ('T
+           (|systemError|
+               (CONS '|unknown variable mode: | (CONS |flag| NIL)))))))))
+\end{chunk}
 \subsection{isCategory}
 \begin{chunk}{*}
 ;isCategory a == REFVECP a and #a>5 and a.3=["Category"]
@@ -466,10 +509,10 @@
         (SPADLET |pred| (CADR |a|))
         (SPADLET |implem| (CDDR |a|))
         (COND
-          ((AND (PAIRP |implem|) (EQ (QCDR |implem|) NIL)
+          ((AND (CONSP |implem|) (EQ (QCDR |implem|) NIL)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |implem|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN (SPADLET |q| (QCAR |ISTMP#1|)) 'T)))
                 (OR (BOOT-EQUAL |q| 'ELT) (BOOT-EQUAL |q| 'CONST)))
            (COND
@@ -620,11 +663,11 @@
                                            (NEQUAL (CADR |xsig|)
                                             (CADR |esig|)))
                                           (COND
-                                            ((AND (PAIRP |ximplem|)
+                                            ((AND (CONSP |ximplem|)
                                               (PROGN
                                                 (SPADLET |ISTMP#1|
                                                  (QCAR |ximplem|))
-                                                (AND (PAIRP |ISTMP#1|)
+                                                (AND (CONSP |ISTMP#1|)
                                                  (EQ (QCAR |ISTMP#1|)
                                                   '|Subsumed|))))
                                              (SPADLET |original|
@@ -644,11 +687,11 @@
                                            (|mkOr| |epred| |xpred|))))
                                        (COND
                                          ((NULL
-                                           (AND (PAIRP |ximplem|)
+                                           (AND (CONSP |ximplem|)
                                             (PROGN
                                               (SPADLET |ISTMP#1|
                                                (QCAR |ximplem|))
-                                              (AND (PAIRP |ISTMP#1|)
+                                              (AND (CONSP |ISTMP#1|)
                                                (EQ (QCAR |ISTMP#1|)
                                                 '|Subsumed|)))))
                                           (SPADLET |eimplem| |ximplem|)))
@@ -661,23 +704,23 @@
                                         (CONS |esig|
                                          (CONS |epred| |eimplem|)))
                                        (COND
-                                         ((AND (PAIRP |ximplem|)
+                                         ((AND (CONSP |ximplem|)
                                            (EQ (QCDR |ximplem|) NIL)
                                            (PROGN
                                              (SPADLET |ISTMP#1|
                                               (QCAR |ximplem|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (PROGN
                                                 (SPADLET |q|
                                                  (QCAR |ISTMP#1|))
                                                 (SPADLET |ISTMP#2|
                                                  (QCDR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
+                                                (AND (CONSP |ISTMP#2|)
                                                  (PROGN
                                                    (SPADLET |ISTMP#3|
                                                     (QCDR |ISTMP#2|))
                                                    (AND
-                                                    (PAIRP |ISTMP#3|)
+                                                    (CONSP |ISTMP#3|)
                                                     (EQ
                                                      (QCDR |ISTMP#3|)
                                                      NIL)
@@ -728,36 +771,36 @@
         ('T
          (SPADLET |l|
                   (COND
-                    ((AND (PAIRP |a|) (EQ (QCAR |a|) 'OR)
+                    ((AND (CONSP |a|) (EQ (QCAR |a|) 'OR)
                           (PROGN (SPADLET |a'| (QCDR |a|)) 'T))
                      (COND
-                       ((AND (PAIRP |b|) (EQ (QCAR |b|) 'OR)
+                       ((AND (CONSP |b|) (EQ (QCAR |b|) 'OR)
                              (PROGN (SPADLET |b'| (QCDR |b|)) 'T))
                         (|union| |a'| |b'|))
                        ('T (|mkOr2| |b| |a'|))))
-                    ((AND (PAIRP |b|) (EQ (QCAR |b|) 'OR)
+                    ((AND (CONSP |b|) (EQ (QCAR |b|) 'OR)
                           (PROGN (SPADLET |b'| (QCDR |b|)) 'T))
                      (|mkOr2| |a| |b'|))
-                    ((AND (PAIRP |a|) (EQ (QCAR |a|) '|has|)
+                    ((AND (CONSP |a|) (EQ (QCAR |a|) '|has|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |a|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |avar| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |acat| (QCAR |ISTMP#2|))
                                       'T)))))
-                          (PAIRP |b|) (EQ (QCAR |b|) '|has|)
+                          (CONSP |b|) (EQ (QCAR |b|) '|has|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |b|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (EQUAL (QCAR |ISTMP#1|) |avar|)
                                  (PROGN
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |bcat| (QCAR |ISTMP#2|))
@@ -766,19 +809,19 @@
                        ((|DescendantP| |acat| |bcat|) (LIST |b|))
                        ((|DescendantP| |bcat| |acat|) (LIST |a|))
                        ('T (CONS |a| (CONS |b| NIL)))))
-                    ((AND (PAIRP |a|) (EQ (QCAR |a|) 'AND)
+                    ((AND (CONSP |a|) (EQ (QCAR |a|) 'AND)
                           (PROGN (SPADLET |a'| (QCDR |a|)) 'T)
                           (|member| |b| |a'|))
                      (LIST |b|))
-                    ((AND (PAIRP |b|) (EQ (QCAR |b|) 'AND)
+                    ((AND (CONSP |b|) (EQ (QCAR |b|) 'AND)
                           (PROGN (SPADLET |b'| (QCDR |b|)) 'T)
                           (|member| |a| |b'|))
                      (LIST |a|))
-                    ((AND (PAIRP |a|) (EQ (QCAR |a|) '|and|)
+                    ((AND (CONSP |a|) (EQ (QCAR |a|) '|and|)
                           (PROGN (SPADLET |a'| (QCDR |a|)) 'T)
                           (|member| |b| |a'|))
                      (LIST |b|))
-                    ((AND (PAIRP |b|) (EQ (QCAR |b|) '|and|)
+                    ((AND (CONSP |b|) (EQ (QCAR |b|) '|and|)
                           (PROGN (SPADLET |b'| (QCDR |b|)) 'T)
                           (|member| |a| |b'|))
                      (LIST |a|))
@@ -806,14 +849,14 @@
     (RETURN
       (SEQ (COND
              ((|member| |a| |b|) |b|)
-             ((AND (PAIRP |a|) (EQ (QCAR |a|) '|has|)
+             ((AND (CONSP |a|) (EQ (QCAR |a|) '|has|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |a|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |avar| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |acat| (QCAR |ISTMP#2|))
@@ -824,15 +867,15 @@
                        (PROGN (SETQ |c| (CAR G166606)) NIL))
                    NIL)
                 (SEQ (EXIT (COND
-                             ((AND (PAIRP |c|) (EQ (QCAR |c|) '|has|)
+                             ((AND (CONSP |c|) (EQ (QCAR |c|) '|has|)
                                    (PROGN
                                      (SPADLET |ISTMP#1| (QCDR |c|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQUAL (QCAR |ISTMP#1|) |avar|)
                                       (PROGN
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (SPADLET |ccat|
@@ -877,36 +920,36 @@
         ('T
          (SPADLET |l|
                   (COND
-                    ((AND (PAIRP |a|) (EQ (QCAR |a|) 'AND)
+                    ((AND (CONSP |a|) (EQ (QCAR |a|) 'AND)
                           (PROGN (SPADLET |a'| (QCDR |a|)) 'T))
                      (COND
-                       ((AND (PAIRP |b|) (EQ (QCAR |b|) 'AND)
+                       ((AND (CONSP |b|) (EQ (QCAR |b|) 'AND)
                              (PROGN (SPADLET |b'| (QCDR |b|)) 'T))
                         (|union| |a'| |b'|))
                        ('T (|mkAnd2| |b| |a'|))))
-                    ((AND (PAIRP |b|) (EQ (QCAR |b|) 'AND)
+                    ((AND (CONSP |b|) (EQ (QCAR |b|) 'AND)
                           (PROGN (SPADLET |b'| (QCDR |b|)) 'T))
                      (|mkAnd2| |a| |b'|))
-                    ((AND (PAIRP |a|) (EQ (QCAR |a|) '|has|)
+                    ((AND (CONSP |a|) (EQ (QCAR |a|) '|has|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |a|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |avar| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |acat| (QCAR |ISTMP#2|))
                                       'T)))))
-                          (PAIRP |b|) (EQ (QCAR |b|) '|has|)
+                          (CONSP |b|) (EQ (QCAR |b|) '|has|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |b|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (EQUAL (QCAR |ISTMP#1|) |avar|)
                                  (PROGN
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |bcat| (QCAR |ISTMP#2|))
@@ -939,14 +982,14 @@
     (RETURN
       (SEQ (COND
              ((|member| |a| |b|) |b|)
-             ((AND (PAIRP |a|) (EQ (QCAR |a|) '|has|)
+             ((AND (CONSP |a|) (EQ (QCAR |a|) '|has|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |a|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |avar| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |acat| (QCAR |ISTMP#2|))
@@ -957,15 +1000,15 @@
                        (PROGN (SETQ |c| (CAR G166702)) NIL))
                    NIL)
                 (SEQ (EXIT (COND
-                             ((AND (PAIRP |c|) (EQ (QCAR |c|) '|has|)
+                             ((AND (CONSP |c|) (EQ (QCAR |c|) '|has|)
                                    (PROGN
                                      (SPADLET |ISTMP#1| (QCDR |c|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQUAL (QCAR |ISTMP#1|) |avar|)
                                       (PROGN
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (SPADLET |ccat|
@@ -1150,14 +1193,14 @@
       (COND
         ((BOOT-EQUAL |a| |b|) 'T)
         ((BOOT-EQUAL |$noSubsumption| 'T) NIL)
-        ((AND (PAIRP |b|) (EQ (QCAR |b|) '|Union|)
+        ((AND (CONSP |b|) (EQ (QCAR |b|) '|Union|)
               (PROGN (SPADLET |blist| (QCDR |b|)) 'T)
               (|member| |a| |blist|))
          'T)
         ((AND (BOUNDP '|$noSubsets|) |$noSubsets|) NIL)
         ((AND (ATOM |b|) (|assoc| |a| (GETL |b| '|Subsets|))) 'T)
-        ((AND (PAIRP |a|) (EQ (QCDR |a|) NIL)
-              (PROGN (SPADLET |a1| (QCAR |a|)) 'T) (PAIRP |b|)
+        ((AND (CONSP |a|) (EQ (QCDR |a|) NIL)
+              (PROGN (SPADLET |a1| (QCAR |a|)) 'T) (CONSP |b|)
               (EQ (QCDR |b|) NIL) (PROGN (SPADLET |b1| (QCAR |b|)) 'T)
               (|assoc| |a1| (GETL |b1| '|Subsets|)))
          'T)
@@ -1229,7 +1272,7 @@
     (RETURN
       (SEQ (COND
              ((BOOT-EQUAL |a| |b|) 'T)
-             ((AND (PAIRP |b|) (EQ (QCAR |b|) '|Union|)
+             ((AND (CONSP |b|) (EQ (QCAR |b|) '|Union|)
                    (PROGN (SPADLET |blist| (QCDR |b|)) 'T)
                    (|member| |a| |blist|)
                    (PROG (G166958)
@@ -1247,8 +1290,8 @@
                                         (AND G166958 (STRINGP |x|)))))))))))
               'T)
              ((AND (ATOM |b|) (|assoc| |a| (GETL |b| '|Subsets|))) 'T)
-             ((AND (PAIRP |a|) (EQ (QCDR |a|) NIL)
-                   (PROGN (SPADLET |a1| (QCAR |a|)) 'T) (PAIRP |b|)
+             ((AND (CONSP |a|) (EQ (QCDR |a|) NIL)
+                   (PROGN (SPADLET |a1| (QCAR |a|)) 'T) (CONSP |b|)
                    (EQ (QCDR |b|) NIL)
                    (PROGN (SPADLET |b1| (QCAR |b|)) 'T)
                    (|assoc| |a1| (GETL |b1| '|Subsets|)))
@@ -1469,14 +1512,14 @@
     (RETURN
       (SEQ (COND
              ((BOOT-EQUAL |a| |b|) 'T)
-             ((AND (PAIRP |a|) (EQ (QCAR |a|) 'ATTRIBUTE)) NIL)
-             ((AND (PAIRP |a|) (EQ (QCAR |a|) 'SIGNATURE)) NIL)
+             ((AND (CONSP |a|) (EQ (QCAR |a|) 'ATTRIBUTE)) NIL)
+             ((AND (CONSP |a|) (EQ (QCAR |a|) 'SIGNATURE)) NIL)
              ('T (SPADLET |a| (|CatEval| |a|))
               (SEQ (COND
-                     ((AND (PAIRP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
+                     ((AND (CONSP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |b|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |b'| (QCAR |ISTMP#1|))
@@ -1787,7 +1830,7 @@
                                                   (|CatEval| |at2|)
                                                   NIL))))
                                               ((NULL
-                                                (AND (PAIRP |pred|)
+                                                (AND (CONSP |pred|)
                                                  (EQ (QCAR |pred|)
                                                   '|and|)))
                                                (SPADLET |CondList|
@@ -2328,7 +2371,7 @@
   (PROG (|name| |u|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|) (PROGN (SPADLET |name| (QCAR |x|)) 'T))
+             ((AND (CONSP |x|) (PROGN (SPADLET |name| (QCAR |x|)) 'T))
               (|categoryForm?| |name|))
              ((ATOM |x|)
               (COND
diff -Nru axiom-20110301a/src/interp/cattable.lisp.pamphlet axiom-20111101/src/interp/cattable.lisp.pamphlet
--- axiom-20110301a/src/interp/cattable.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/cattable.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -408,22 +408,22 @@
 (DEFUN |simpHasPred,simpHas| (|pred| |a| |b|)
   (PROG (|attr| |ISTMP#1| |op| |ISTMP#2| |sig| |npred|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
+      (SEQ (IF (AND (CONSP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |b|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN
                              (SPADLET |attr| (QCAR |ISTMP#1|))
                              'T))))
                (EXIT (|simpHasAttribute| |pred| |a| |attr|)))
-           (IF (AND (PAIRP |b|) (EQ (QCAR |b|) 'SIGNATURE)
+           (IF (AND (CONSP |b|) (EQ (QCAR |b|) 'SIGNATURE)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |b|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |op| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |sig| (QCAR |ISTMP#2|))
@@ -442,7 +442,7 @@
   (PROG (|r| |LETTMP#1| |op| |sig| |a| |b| |form| |u| |op1|)
   (declare (special |$hasArgs|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |pred|)
+      (SEQ (IF (AND (CONSP |pred|)
                     (PROGN
                       (SPADLET |op| (QCAR |pred|))
                       (SPADLET |r| (QCDR |pred|))
@@ -622,11 +622,11 @@
                                            (OR G166482 |x|)))))))))
                            (RETURN NIL)))
               (|simpHasPred|
-                  (OR (AND (PAIRP |match|)
+                  (OR (AND (CONSP |match|)
                            (PROGN
                              (SPADLET |sig| (QCAR |match|))
                              (SPADLET |ISTMP#1| (QCDR |match|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (PROGN
                                     (SPADLET |p| (QCDR |ISTMP#1|))
                                     'T)))
@@ -723,7 +723,7 @@
   (PROG (|op| |r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pred|)
+             ((AND (CONSP |pred|)
                    (PROGN
                      (SPADLET |op| (QCAR |pred|))
                      (SPADLET |r| (QCDR |pred|))
@@ -766,19 +766,19 @@
                       (PROGN (SETQ |cat| (CAR G166595)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |cat|)
+                            ((AND (CONSP |cat|)
                                   (EQ (QCAR |cat|) 'CATEGORY))
                              NIL)
-                            ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'IF)
+                            ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'IF)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |cat|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |pred|
                                         (QCAR |ISTMP#1|))
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (PROGN
                                           (SPADLET |cat1|
                                            (QCAR |ISTMP#2|))
@@ -1003,22 +1003,22 @@
     (RETURN
       (COND
         ((OR (BOOT-EQUAL |old| 'T) (BOOT-EQUAL |new| 'T)) 'T)
-        ((AND (PAIRP |old|) (EQ (QCAR |old|) '|has|)
+        ((AND (CONSP |old|) (EQ (QCAR |old|) '|has|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |old|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) 'T)))))
-              (PAIRP |new|) (EQ (QCAR |new|) '|has|)
+              (CONSP |new|) (EQ (QCAR |new|) '|has|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |new|))
-                (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |a|)
+                (AND (CONSP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |a|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |c| (QCAR |ISTMP#2|)) 'T))))))
          (COND
            ((|tempExtendsCat| |b| |c|) |new|)
@@ -1034,7 +1034,7 @@
   (PROG (|l|)
     (RETURN
       (COND
-        ((AND (PAIRP |old|) (EQ (QCAR |old|) 'OR)
+        ((AND (CONSP |old|) (EQ (QCAR |old|) 'OR)
               (PROGN (SPADLET |l| (QCDR |old|)) 'T))
          (|simpCategoryOr| |new| |l|))
         ('T (CONS 'OR (CONS |old| (CONS |new| NIL))))))))
@@ -1069,16 +1069,16 @@
                       (PROGN (SETQ |pred| (CAR G166818)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |pred|)
+                            ((AND (CONSP |pred|)
                                   (EQ (QCAR |pred|) '|has|)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |pred|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQUAL (QCAR |ISTMP#1|) |a|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |c|
@@ -1100,7 +1100,7 @@
                ((NULL |newExtendsAnOld|)
                 (SPADLET |newList| (CONS |new| |newList|))))
              (COND
-               ((AND (PAIRP |newList|) (EQ (QCDR |newList|) NIL))
+               ((AND (CONSP |newList|) (EQ (QCDR |newList|) NIL))
                 (CAR |newList|))
                ('T (CONS 'OR |newList|))))))))
 
@@ -1410,12 +1410,12 @@
   (PROG (|l| |u| |ISTMP#1|)
     (RETURN
       (COND
-        ((AND (PAIRP |p|) (EQ (QCAR |p|) 'OR)
+        ((AND (CONSP |p|) (EQ (QCAR |p|) 'OR)
               (PROGN (SPADLET |l| (QCDR |p|)) 'T))
          (COND
            ((PROGN
               (SPADLET |ISTMP#1| (SPADLET |u| (|simpOrUnion| |l|)))
-              (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+              (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                    (PROGN (SPADLET |p| (QCAR |ISTMP#1|)) 'T)))
             |p|)
            ('T (CONS 'OR |u|))))
@@ -1454,22 +1454,22 @@
   (PROG (|a| |b| |ISTMP#1| |ISTMP#2| |c|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|has|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|has|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) 'T)))))
-              (PAIRP |y|) (EQ (QCAR |y|) '|has|)
+              (CONSP |y|) (EQ (QCAR |y|) '|has|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |y|))
-                (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |a|)
+                (AND (CONSP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |a|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |c| (QCAR |ISTMP#2|)) 'T))))))
          (COND
            ((|testExtend| |b| |c|) |y|)
@@ -1512,7 +1512,7 @@
       (SEQ (PROGN
              (SPADLET |x|
                       (COND
-                        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|)
+                        ((AND (CONSP |x|) (EQ (QCAR |x|) '|Join|)
                               (PROGN (SPADLET |y| (QCDR |x|)) 'T))
                          |y|)
                         ('T (CONS |x| NIL))))
@@ -1522,10 +1522,10 @@
                       (PROGN (SETQ |y| (CAR G167152)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |y|) (EQ (QCAR |y|) 'CATEGORY)
+                            ((AND (CONSP |y|) (EQ (QCAR |y|) 'CATEGORY)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |y|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |z| (QCDR |ISTMP#1|))
                                        'T))))
@@ -1560,23 +1560,23 @@
     (RETURN
       (SEQ (PROGN
              (COND
-               ((AND (PAIRP |zz|) (EQ (QCAR |zz|) 'IF)
+               ((AND (CONSP |zz|) (EQ (QCAR |zz|) 'IF)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |zz|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCAR |ISTMP#2|) '|has|)
                                    (PROGN
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (PROGN
                                         (SPADLET |z1| (QCAR |ISTMP#3|))
                                         (SPADLET |ISTMP#4|
                                          (QCDR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
+                                        (AND (CONSP |ISTMP#4|)
                                          (EQ (QCDR |ISTMP#4|) NIL)
                                          (PROGN
                                            (SPADLET |z2|
@@ -1587,16 +1587,16 @@
                               'T)
                             (PROGN
                               (SPADLET |ISTMP#5| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#5|)
+                              (AND (CONSP |ISTMP#5|)
                                    (PROGN
                                      (SPADLET |ats| (QCAR |ISTMP#5|))
                                      (SPADLET |ISTMP#6|
                                       (QCDR |ISTMP#5|))
-                                     (AND (PAIRP |ISTMP#6|)
+                                     (AND (CONSP |ISTMP#6|)
                                       (EQ (QCDR |ISTMP#6|) NIL))))))))
                 (SPADLET |ats|
                          (COND
-                           ((AND (PAIRP |ats|) (EQ (QCAR |ats|) 'PROGN)
+                           ((AND (CONSP |ats|) (EQ (QCAR |ats|) 'PROGN)
                                  (PROGN
                                    (SPADLET |atl| (QCDR |ats|))
                                    'T))
@@ -1608,12 +1608,12 @@
                      NIL)
                   (SEQ (EXIT (PROGN
                                (COND
-                                 ((AND (PAIRP |at|)
+                                 ((AND (CONSP |at|)
                                        (EQ (QCAR |at|) 'ATTRIBUTE)
                                        (PROGN
                                          (SPADLET |ISTMP#1|
                                           (QCDR |at|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |z3|
@@ -1634,12 +1634,12 @@
                                                (CONS '|noBranch| NIL))))
                                             |cats|))))
                                (COND
-                                 ((AND (PAIRP |at|)
+                                 ((AND (CONSP |at|)
                                        (EQ (QCAR |at|) 'IF)
                                        (PROGN
                                          (SPADLET |ISTMP#1|
                                           (QCDR |at|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (PROGN
                                             (SPADLET |pred|
                                              (QCAR |ISTMP#1|))
@@ -1705,21 +1705,21 @@
   (PROG (|ISTMP#1| |ISTMP#2| |f| |r|)
   (declare (special |$conslist|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |target|) (EQ (QCAR |target|) 'CATEGORY)
+      (SEQ (IF (AND (CONSP |target|) (EQ (QCAR |target|) 'CATEGORY)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |target|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN (SPADLET |r| (QCDR |ISTMP#1|)) 'T))))
                (EXIT |r|))
-           (IF (AND (PAIRP |target|) (EQ (QCAR |target|) '|Join|)
+           (IF (AND (CONSP |target|) (EQ (QCAR |target|) '|Join|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |target|))
-                      (AND (AND (PAIRP |ISTMP#1|)
+                      (AND (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |ISTMP#2|
                                            (REVERSE |ISTMP#1|))
                                   'T))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (PROGN
                                   (SPADLET |f| (QCAR |ISTMP#2|))
                                   (SPADLET |r| (QCDR |ISTMP#2|))
@@ -1744,14 +1744,14 @@
                |ISTMP#3| |s2| |r|)
   (declare (special |$oplist| |$attrlist| |$conslist|))
     (RETURN
-      (SEQ (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'SIGNATURE)
+      (SEQ (IF (AND (CONSP |item|) (EQ (QCAR |item|) 'SIGNATURE)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |op| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |sig| (QCAR |ISTMP#2|))
                                     'T))))))
@@ -1759,10 +1759,10 @@
                               (CONS (CONS (|opOf| |op|)
                                      (CONS |sig| |pred|))
                                     |$oplist|))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'ATTRIBUTE)
+           (IF (AND (CONSP |item|) (EQ (QCAR |item|) 'ATTRIBUTE)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN
                              (SPADLET |attr| (QCAR |ISTMP#1|))
                              'T))))
@@ -1779,14 +1779,14 @@
                                           (CONS (|opOf| |attr|)
                                            (CONS (IFCDR |attr|) |pred|))
                                           |$attrlist|))))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'TYPE)
+           (IF (AND (CONSP |item|) (EQ (QCAR |item|) 'TYPE)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |op| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |type| (QCAR |ISTMP#2|))
@@ -1795,19 +1795,19 @@
                               (CONS (CONS |op|
                                      (CONS (CONS |type| NIL) |pred|))
                                     |$oplist|))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'IF)
+           (IF (AND (CONSP |item|) (EQ (QCAR |item|) 'IF)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |item|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |pred1| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |s1| (QCAR |ISTMP#2|))
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (SPADLET |s2| (QCAR |ISTMP#3|))
@@ -1819,7 +1819,7 @@
                                      (|categoryParts,build| |s2|
                                       (|quickAnd| |pred|
                                        (CONS 'NOT (CONS |pred1| NIL))))))))))
-           (IF (AND (PAIRP |item|) (EQ (QCAR |item|) 'PROGN)
+           (IF (AND (CONSP |item|) (EQ (QCAR |item|) 'PROGN)
                     (PROGN (SPADLET |r| (QCDR |item|)) 'T))
                (EXIT (DO ((G167406 |r| (CDR G167406)) (|x| NIL))
                          ((OR (ATOM G167406)
diff -Nru axiom-20110301a/src/interp/c-doc.lisp.pamphlet axiom-20111101/src/interp/c-doc.lisp.pamphlet
--- axiom-20110301a/src/interp/c-doc.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/c-doc.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,4320 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp c-doc.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(IN-PACKAGE "BOOT" )
-
-;batchExecute() ==
-;  _/RF_-1 '(GENCON INPUT)
-
-(DEFUN |batchExecute| () (/RF-1 '(GENCON INPUT)))
-
-;getDoc(conName,op,modemap) ==
-;  [dc,target,sl,pred,D] := simplifyModemap modemap
-;  sig := [target,:sl]
-;  null atom dc =>
-;    sig := SUBST('$,dc,sig)
-;    sig := SUBLISLIS($FormalMapVariableList,rest dc,sig)
-;    getDocForDomain(conName,op,sig)
-;  if argList := IFCDR getOfCategoryArgument pred then
-;     SUBLISLIS($FormalMapArgumentList,argList,sig)
-;  sig := SUBST('$,dc,sig)
-;  getDocForCategory(conName,op,sig)
-
-(DEFUN |getDoc| (|conName| |op| |modemap|)
-  (PROG (|LETTMP#1| |dc| |target| |sl| |pred| D |argList| |sig|)
-  (declare (special |$FormalMapArgumentList|))
-    (RETURN
-      (PROGN
-        (SPADLET |LETTMP#1| (|simplifyModemap| |modemap|))
-        (SPADLET |dc| (CAR |LETTMP#1|))
-        (SPADLET |target| (CADR |LETTMP#1|))
-        (SPADLET |sl| (CADDR |LETTMP#1|))
-        (SPADLET |pred| (CADDDR |LETTMP#1|))
-        (SPADLET D (CAR (CDDDDR |LETTMP#1|)))
-        (SPADLET |sig| (CONS |target| |sl|))
-        (COND
-          ((NULL (ATOM |dc|)) (SPADLET |sig| (MSUBST '$ |dc| |sig|))
-           (SPADLET |sig|
-                    (SUBLISLIS |$FormalMapVariableList| (CDR |dc|)
-                        |sig|))
-           (|getDocForDomain| |conName| |op| |sig|))
-          ('T
-           (COND
-             ((SPADLET |argList|
-                       (IFCDR (|getOfCategoryArgument| |pred|)))
-              (SUBLISLIS |$FormalMapArgumentList| |argList| |sig|)))
-           (SPADLET |sig| (MSUBST '$ |dc| |sig|))
-           (|getDocForCategory| |conName| |op| |sig|)))))))
-
-;getOfCategoryArgument pred ==
-;  pred is [fn,:.] and MEMQ(fn,'(AND OR NOT)) =>
-;    or/[getOfCategoryArgument x for x in rest pred]
-;  pred is ['ofCategory,'_*1,form] => form
-;  nil
-
-(DEFUN |getOfCategoryArgument| (|pred|)
-  (PROG (|fn| |ISTMP#1| |ISTMP#2| |form|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |pred|)
-                   (PROGN (SPADLET |fn| (QCAR |pred|)) 'T)
-                   (member |fn| '(AND OR NOT)))
-              (PROG (G166100)
-                (SPADLET G166100 NIL)
-                (RETURN
-                  (DO ((G166106 NIL G166100)
-                       (G166107 (CDR |pred|) (CDR G166107))
-                       (|x| NIL))
-                      ((OR G166106 (ATOM G166107)
-                           (PROGN (SETQ |x| (CAR G166107)) NIL))
-                       G166100)
-                    (SEQ (EXIT (SETQ G166100
-                                     (OR G166100
-                                      (|getOfCategoryArgument| |x|)))))))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|ofCategory|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '*1)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |form| (QCAR |ISTMP#2|))
-                                   'T))))))
-              |form|)
-             ('T NIL))))))
-
-;getDocForCategory(name,op,sig) ==
-;  getOpDoc(constructor? name,op,sig) or
-;    or/[getOpDoc(constructor? x,op,sig) for x in whatCatCategories name]
-
-(DEFUN |getDocForCategory| (|name| |op| |sig|)
-  (PROG ()
-    (RETURN
-      (SEQ (OR (|getOpDoc| (|constructor?| |name|) |op| |sig|)
-               (PROG (G166122)
-                 (SPADLET G166122 NIL)
-                 (RETURN
-                   (DO ((G166128 NIL G166122)
-                        (G166129 (|whatCatCategories| |name|)
-                            (CDR G166129))
-                        (|x| NIL))
-                       ((OR G166128 (ATOM G166129)
-                            (PROGN (SETQ |x| (CAR G166129)) NIL))
-                        G166122)
-                     (SEQ (EXIT (SETQ G166122
-                                      (OR G166122
-                                       (|getOpDoc| (|constructor?| |x|)
-                                        |op| |sig|)))))))))))))
-
-;getDocForDomain(name,op,sig) ==
-;  getOpDoc(constructor? name,op,sig) or
-;    or/[getOpDoc(constructor? x,op,sig) for x in whatCatExtDom name]
-
-(DEFUN |getDocForDomain| (|name| |op| |sig|)
-  (PROG ()
-    (RETURN
-      (SEQ (OR (|getOpDoc| (|constructor?| |name|) |op| |sig|)
-               (PROG (G166140)
-                 (SPADLET G166140 NIL)
-                 (RETURN
-                   (DO ((G166146 NIL G166140)
-                        (G166147 (|whatCatExtDom| |name|)
-                            (CDR G166147))
-                        (|x| NIL))
-                       ((OR G166146 (ATOM G166147)
-                            (PROGN (SETQ |x| (CAR G166147)) NIL))
-                        G166140)
-                     (SEQ (EXIT (SETQ G166140
-                                      (OR G166140
-                                       (|getOpDoc| (|constructor?| |x|)
-                                        |op| |sig|)))))))))))))
-
-;getOpDoc(abb,op,:sigPart) ==
-;  u := LASSOC(op,GETDATABASE(abb,'DOCUMENTATION))
-;  $argList : local := $FormalMapVariableList
-;  _$: local := '_$
-;  sigPart is [sig] => or/[d for [s,:d] in u | sig = s]
-;  u
-
-(DEFUN |getOpDoc| (&REST G166194 &AUX |sigPart| |op| |abb|)
-  (DSETQ (|abb| |op| . |sigPart|) G166194)
-  (PROG (|$argList| $ |u| |sig| |s| |d|)
-    (DECLARE (SPECIAL |$argList| $ |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |u|
-                      (LASSOC |op| (GETDATABASE |abb| 'DOCUMENTATION)))
-             (SPADLET |$argList| |$FormalMapVariableList|)
-             (SPADLET $ '$)
-             (COND
-               ((AND (PAIRP |sigPart|) (EQ (QCDR |sigPart|) NIL)
-                     (PROGN (SPADLET |sig| (QCAR |sigPart|)) 'T))
-                (PROG (G166163)
-                  (SPADLET G166163 NIL)
-                  (RETURN
-                    (DO ((G166171 NIL G166163)
-                         (G166172 |u| (CDR G166172))
-                         (G166158 NIL))
-                        ((OR G166171 (ATOM G166172)
-                             (PROGN
-                               (SETQ G166158 (CAR G166172))
-                               NIL)
-                             (PROGN
-                               (PROGN
-                                 (SPADLET |s| (CAR G166158))
-                                 (SPADLET |d| (CDR G166158))
-                                 G166158)
-                               NIL))
-                         G166163)
-                      (SEQ (EXIT (COND
-                                   ((BOOT-EQUAL |sig| |s|)
-                                    (SETQ G166163 (OR G166163 |d|))))))))))
-               ('T |u|)))))))
-
-;readForDoc fn ==
-;  $bootStrapMode: local:= true
-;  _/RQ_-LIB_-1 [fn,'SPAD]
-
-(DEFUN |readForDoc| (|fn|)
-  (PROG (|$bootStrapMode|)
-    (DECLARE (SPECIAL |$bootStrapMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |$bootStrapMode| 'T)
-        (/RQ-LIB-1 (CONS |fn| (CONS 'SPAD NIL)))))))
-
-;recordSignatureDocumentation(opSig,lineno) ==
-;  recordDocumentation(rest postTransform opSig,lineno)
-
-(DEFUN |recordSignatureDocumentation| (|opSig| |lineno|)
-  (|recordDocumentation| (CDR (|postTransform| |opSig|)) |lineno|))
-
-;recordAttributeDocumentation(['Attribute,att],lineno) ==
-;  name := opOf att
-;  UPPER_-CASE_-P (PNAME name).0 => nil
-;  recordDocumentation([name,['attribute,:IFCDR postTransform att]],lineno)
-
-(DEFUN |recordAttributeDocumentation| (G166206 |lineno|)
-  (PROG (|att| |name|)
-    (RETURN
-      (PROGN
-        (SPADLET |att| (CADR G166206))
-        (SPADLET |name| (|opOf| |att|))
-        (COND
-          ((UPPER-CASE-P (ELT (PNAME |name|) 0)) NIL)
-          ('T
-           (|recordDocumentation|
-               (CONS |name|
-                     (CONS (CONS '|attribute|
-                                 (IFCDR (|postTransform| |att|)))
-                           NIL))
-               |lineno|)))))))
-
-;recordDocumentation(key,lineno) ==
-;  recordHeaderDocumentation lineno
-;  u:= collectComBlock lineno
-;  --record NIL to mean "there was no documentation"
-;  $maxSignatureLineNumber := lineno
-;  $docList := [[key,:u],:$docList]
-
-(DEFUN |recordDocumentation| (|key| |lineno|)
-  (PROG (|u|)
-  (declare (special |$docList| |$maxSignatureLineNumber|))
-    (RETURN
-      (PROGN
-        (|recordHeaderDocumentation| |lineno|)
-        (SPADLET |u| (|collectComBlock| |lineno|))
-        (SPADLET |$maxSignatureLineNumber| |lineno|)
-        (SPADLET |$docList| (CONS (CONS |key| |u|) |$docList|))))))
-
-;  -- leave CAR of $docList alone as required by collectAndDeleteAssoc
-;recordHeaderDocumentation lineno ==
-;  if $maxSignatureLineNumber = 0 then
-;    al := [p for (p := [n,:u]) in $COMBLOCKLIST
-;               | NULL n or NULL lineno or n < lineno]
-;    $COMBLOCKLIST := SETDIFFERENCE($COMBLOCKLIST,al)
-;    $headerDocumentation := ASSOCRIGHT al
-;    if $headerDocumentation then $maxSignatureLineNumber := 1 --see postDef
-;    $headerDocumentation
-
-(DEFUN |recordHeaderDocumentation| (|lineno|)
-  (PROG (|n| |u| |al|)
-  (declare (special |$headerDocumentation| |$maxSignatureLineNumber|
-                    $COMBLOCKLIST))
-    (RETURN
-      (SEQ (COND
-             ((EQL |$maxSignatureLineNumber| 0)
-              (SPADLET |al|
-                       (PROG (G166235)
-                         (SPADLET G166235 NIL)
-                         (RETURN
-                           (DO ((G166242 $COMBLOCKLIST
-                                    (CDR G166242))
-                                (|p| NIL))
-                               ((OR (ATOM G166242)
-                                    (PROGN
-                                      (SETQ |p| (CAR G166242))
-                                      NIL)
-                                    (PROGN
-                                      (PROGN
-                                        (SPADLET |n| (CAR |p|))
-                                        (SPADLET |u| (CDR |p|))
-                                        |p|)
-                                      NIL))
-                                (NREVERSE0 G166235))
-                             (SEQ (EXIT (COND
-                                          ((OR (NULL |n|)
-                                            (NULL |lineno|)
-                                            (> |lineno| |n|))
-                                           (SETQ G166235
-                                            (CONS |p| G166235))))))))))
-              (SPADLET $COMBLOCKLIST
-                       (SETDIFFERENCE $COMBLOCKLIST |al|))
-              (SPADLET |$headerDocumentation| (ASSOCRIGHT |al|))
-              (COND
-                (|$headerDocumentation|
-                    (SPADLET |$maxSignatureLineNumber| 1)))
-              |$headerDocumentation|)
-             ('T NIL))))))
-
-;collectComBlock x ==
-;  $COMBLOCKLIST is [[=x,:val],:.] =>
-;    u := [:val,:collectAndDeleteAssoc x]
-;    $COMBLOCKLIST := rest $COMBLOCKLIST
-;    u
-;  collectAndDeleteAssoc x
-
-(DEFUN |collectComBlock| (|x|)
-  (PROG (|ISTMP#1| |val| |u|)
-  (declare (special $COMBLOCKLIST))
-    (RETURN
-      (COND
-        ((AND (PAIRP $COMBLOCKLIST)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCAR $COMBLOCKLIST))
-                (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |x|)
-                     (PROGN (SPADLET |val| (QCDR |ISTMP#1|)) 'T))))
-         (SPADLET |u| (APPEND |val| (|collectAndDeleteAssoc| |x|)))
-         (SPADLET $COMBLOCKLIST (CDR $COMBLOCKLIST)) |u|)
-        ('T (|collectAndDeleteAssoc| |x|))))))
-
-;collectAndDeleteAssoc x ==
-;--u is (.. (x . a) .. (x . b) .. )  ==> (a b ..) deleting entries from u
-;--assumes that the first element is useless
-;  for y in tails $COMBLOCKLIST | (s := rest y) repeat
-;    while s and first s is [=x,:r] repeat
-;      res := [:res,:r]
-;      s := rest s
-;      RPLACD(y,s)
-;  res
-
-(DEFUN |collectAndDeleteAssoc| (|x|)
-  (PROG (|ISTMP#1| |r| |res| |s|)
-  (declare (special $COMBLOCKLIST))
-    (RETURN
-      (SEQ (PROGN
-             (DO ((|y| $COMBLOCKLIST (CDR |y|))) ((ATOM |y|) NIL)
-               (SEQ (EXIT (COND
-                            ((SPADLET |s| (CDR |y|))
-                             (DO ()
-                                 ((NULL (AND |s|
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (CAR |s|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (EQUAL (QCAR |ISTMP#1|)
-                                             |x|)
-                                            (PROGN
-                                              (SPADLET |r|
-                                               (QCDR |ISTMP#1|))
-                                              'T)))))
-                                  NIL)
-                               (SEQ (EXIT
-                                     (PROGN
-                                       (SPADLET |res|
-                                        (APPEND |res| |r|))
-                                       (SPADLET |s| (CDR |s|))
-                                       (RPLACD |y| |s|))))))))))
-             |res|)))))
-
-;finalizeDocumentation() ==
-;  unusedCommentLineNumbers := [x for (x := [n,:r]) in $COMBLOCKLIST | r]
-;  docList := SUBST("$","%",transDocList($op,$docList))
-;  if u := [sig for [sig,:doc] in docList | null doc] then
-;    for y in u repeat
-;      y = 'constructor => noHeading := true
-;      y is [x,b] and b is [='attribute,:r] =>
-;        attributes := [[x,:r],:attributes]
-;      signatures := [y,:signatures]
-;    name := CAR $lisplibForm
-;    if noHeading or signatures or attributes or unusedCommentLineNumbers then
-;      sayKeyedMsg("S2CD0001",NIL)
-;      bigcnt := 1
-;      if noHeading or signatures or attributes then
-;        sayKeyedMsg("S2CD0002",[STRCONC(STRINGIMAGE bigcnt,'"."),name])
-;        bigcnt := bigcnt + 1
-;        litcnt := 1
-;        if noHeading then
-;          sayKeyedMsg("S2CD0003",
-;            [STRCONC('"(",STRINGIMAGE litcnt,'")"),name])
-;          litcnt := litcnt + 1
-;        if signatures then
-;          sayKeyedMsg("S2CD0004",
-;            [STRCONC('"(",STRINGIMAGE litcnt,'")")])
-;          litcnt := litcnt + 1
-;          for [op,sig] in signatures repeat
-;            s := formatOpSignature(op,sig)
-;            sayMSG
-;              atom s => ['%x9,s]
-;              ['%x9,:s]
-;        if attributes then
-;          sayKeyedMsg("S2CD0005",
-;            [STRCONC('"(",STRINGIMAGE litcnt,'")")])
-;          litcnt := litcnt + 1
-;          for x in attributes repeat
-;            a := form2String x
-;            sayMSG
-;              atom a => ['%x9,a]
-;              ['%x9,:a]
-;      if unusedCommentLineNumbers then
-;        sayKeyedMsg("S2CD0006",[STRCONC(STRINGIMAGE bigcnt,'"."),name])
-;        for [n,r] in unusedCommentLineNumbers repeat
-;          sayMSG ['"   ",:bright n,'"   ",r]
-;  hn [[:fn(sig,$e),:doc] for [sig,:doc] in docList] where
-;    fn(x,e) ==
-;      atom x => [x,nil]
-;      if #x > 2 then x := TAKE(2,x)
-;      SUBLISLIS($FormalMapVariableList,rest $lisplibForm,
-;        macroExpand(x,e))
-;    hn u ==
-;     -- ((op,sig,doc), ...)  --> ((op ((sig doc) ...)) ...)
-;      opList := REMDUP ASSOCLEFT u
-;      [[op,:[[sig,doc] for [op1,sig,doc] in u | op = op1]] for op in opList]
-
-(DEFUN |finalizeDocumentation,hn| (|u|)
-  (PROG (|opList| |op1| |sig| |doc|)
-    (RETURN
-      (SEQ (SPADLET |opList| (REMDUP (ASSOCLEFT |u|)))
-           (EXIT (PROG (G166360)
-                   (SPADLET G166360 NIL)
-                   (RETURN
-                     (DO ((G166369 |opList| (CDR G166369))
-                          (|op| NIL))
-                         ((OR (ATOM G166369)
-                              (PROGN (SETQ |op| (CAR G166369)) NIL))
-                          (NREVERSE0 G166360))
-                       (SEQ (EXIT (SETQ G166360
-                                        (CONS
-                                         (CONS |op|
-                                          (PROG (G166381)
-                                            (SPADLET G166381 NIL)
-                                            (RETURN
-                                              (DO
-                                               ((G166388 |u|
-                                                 (CDR G166388))
-                                                (G166346 NIL))
-                                               ((OR (ATOM G166388)
-                                                 (PROGN
-                                                   (SETQ G166346
-                                                    (CAR G166388))
-                                                   NIL)
-                                                 (PROGN
-                                                   (PROGN
-                                                     (SPADLET |op1|
-                                                      (CAR G166346))
-                                                     (SPADLET |sig|
-                                                      (CADR G166346))
-                                                     (SPADLET |doc|
-                                                      (CADDR G166346))
-                                                     G166346)
-                                                   NIL))
-                                                (NREVERSE0 G166381))
-                                                (SEQ
-                                                 (EXIT
-                                                  (COND
-                                                    ((BOOT-EQUAL |op|
-                                                      |op1|)
-                                                     (SETQ G166381
-                                                      (CONS
-                                                       (CONS |sig|
-                                                        (CONS |doc|
-                                                         NIL))
-                                                       G166381))))))))))
-                                         G166360))))))))))))
-
-(DEFUN |finalizeDocumentation,fn| (|x| |e|)
-  (declare (special |$lisplibForm| |$FormalMapVariableList|))
-  (SEQ (IF (ATOM |x|) (EXIT (CONS |x| (CONS NIL NIL))))
-       (IF (> (|#| |x|) 2) (SPADLET |x| (TAKE 2 |x|)) NIL)
-       (EXIT (SUBLISLIS |$FormalMapVariableList| (CDR |$lisplibForm|)
-                 (|macroExpand| |x| |e|)))))
-
-(DEFUN |finalizeDocumentation| ()
-  (PROG (|unusedCommentLineNumbers| |docList| |u| |noHeading| |x|
-            |ISTMP#1| |b| |attributes| |signatures| |name| |bigcnt|
-            |op| |s| |litcnt| |a| |n| |r| |sig| |doc|)
-  (declare (special |$e| |$lisplibForm| |$docList| |$op| $COMBLOCKLIST))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |unusedCommentLineNumbers|
-                      (PROG (G166423)
-                        (SPADLET G166423 NIL)
-                        (RETURN
-                          (DO ((G166430 $COMBLOCKLIST
-                                   (CDR G166430))
-                               (|x| NIL))
-                              ((OR (ATOM G166430)
-                                   (PROGN
-                                     (SETQ |x| (CAR G166430))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |n| (CAR |x|))
-                                       (SPADLET |r| (CDR |x|))
-                                       |x|)
-                                     NIL))
-                               (NREVERSE0 G166423))
-                            (SEQ (EXIT (COND
-                                         (|r|
-                                          (SETQ G166423
-                                           (CONS |x| G166423))))))))))
-             (SPADLET |docList|
-                      (MSUBST '$ '% (|transDocList| |$op| |$docList|)))
-             (COND
-               ((SPADLET |u|
-                         (PROG (G166443)
-                           (SPADLET G166443 NIL)
-                           (RETURN
-                             (DO ((G166450 |docList| (CDR G166450))
-                                  (G166312 NIL))
-                                 ((OR (ATOM G166450)
-                                      (PROGN
-                                        (SETQ G166312
-                                         (CAR G166450))
-                                        NIL)
-                                      (PROGN
-                                        (PROGN
-                                          (SPADLET |sig|
-                                           (CAR G166312))
-                                          (SPADLET |doc|
-                                           (CDR G166312))
-                                          G166312)
-                                        NIL))
-                                  (NREVERSE0 G166443))
-                               (SEQ (EXIT
-                                     (COND
-                                       ((NULL |doc|)
-                                        (SETQ G166443
-                                         (CONS |sig| G166443))))))))))
-                (DO ((G166467 |u| (CDR G166467)) (|y| NIL))
-                    ((OR (ATOM G166467)
-                         (PROGN (SETQ |y| (CAR G166467)) NIL))
-                     NIL)
-                  (SEQ (EXIT (COND
-                               ((BOOT-EQUAL |y| '|constructor|)
-                                (SPADLET |noHeading| 'T))
-                               ((AND (PAIRP |y|)
-                                     (PROGN
-                                       (SPADLET |x| (QCAR |y|))
-                                       (SPADLET |ISTMP#1| (QCDR |y|))
-                                       (AND (PAIRP |ISTMP#1|)
-                                        (EQ (QCDR |ISTMP#1|) NIL)
-                                        (PROGN
-                                          (SPADLET |b|
-                                           (QCAR |ISTMP#1|))
-                                          'T)))
-                                     (PAIRP |b|)
-                                     (EQUAL (QCAR |b|) '|attribute|)
-                                     (PROGN
-                                       (SPADLET |r| (QCDR |b|))
-                                       'T))
-                                (SPADLET |attributes|
-                                         (CONS (CONS |x| |r|)
-                                          |attributes|)))
-                               ('T
-                                (SPADLET |signatures|
-                                         (CONS |y| |signatures|)))))))
-                (SPADLET |name| (CAR |$lisplibForm|))
-                (COND
-                  ((OR |noHeading| |signatures| |attributes|
-                       |unusedCommentLineNumbers|)
-                   (|sayKeyedMsg| 'S2CD0001 NIL) (SPADLET |bigcnt| 1)
-                   (COND
-                     ((OR |noHeading| |signatures| |attributes|)
-                      (|sayKeyedMsg| 'S2CD0002
-                          (CONS (STRCONC (STRINGIMAGE |bigcnt|)
-                                         ".")
-                                (CONS |name| NIL)))
-                      (SPADLET |bigcnt| (PLUS |bigcnt| 1))
-                      (SPADLET |litcnt| 1)
-                      (COND
-                        (|noHeading|
-                            (|sayKeyedMsg| 'S2CD0003
-                                (CONS (STRCONC "("
-                                       (STRINGIMAGE |litcnt|)
-                                       ")")
-                                      (CONS |name| NIL)))
-                            (SPADLET |litcnt| (PLUS |litcnt| 1))))
-                      (COND
-                        (|signatures|
-                            (|sayKeyedMsg| 'S2CD0004
-                                (CONS (STRCONC "("
-                                       (STRINGIMAGE |litcnt|)
-                                       ")")
-                                      NIL))
-                            (SPADLET |litcnt| (PLUS |litcnt| 1))
-                            (DO ((G166479 |signatures|
-                                     (CDR G166479))
-                                 (G166329 NIL))
-                                ((OR (ATOM G166479)
-                                     (PROGN
-                                       (SETQ G166329 (CAR G166479))
-                                       NIL)
-                                     (PROGN
-                                       (PROGN
-                                         (SPADLET |op| (CAR G166329))
-                                         (SPADLET |sig|
-                                          (CADR G166329))
-                                         G166329)
-                                       NIL))
-                                 NIL)
-                              (SEQ (EXIT
-                                    (PROGN
-                                      (SPADLET |s|
-                                       (|formatOpSignature| |op| |sig|))
-                                      (|sayMSG|
-                                       (COND
-                                         ((ATOM |s|)
-                                          (CONS '|%x9| (CONS |s| NIL)))
-                                         ('T (CONS '|%x9| |s|))))))))))
-                      (COND
-                        (|attributes|
-                            (|sayKeyedMsg| 'S2CD0005
-                                (CONS (STRCONC "("
-                                       (STRINGIMAGE |litcnt|)
-                                       ")")
-                                      NIL))
-                            (SPADLET |litcnt| (PLUS |litcnt| 1))
-                            (DO ((G166491 |attributes|
-                                     (CDR G166491))
-                                 (|x| NIL))
-                                ((OR (ATOM G166491)
-                                     (PROGN
-                                       (SETQ |x| (CAR G166491))
-                                       NIL))
-                                 NIL)
-                              (SEQ (EXIT
-                                    (PROGN
-                                      (SPADLET |a| (|form2String| |x|))
-                                      (|sayMSG|
-                                       (COND
-                                         ((ATOM |a|)
-                                          (CONS '|%x9| (CONS |a| NIL)))
-                                         ('T (CONS '|%x9| |a|)))))))))
-                        ('T NIL))))
-                   (COND
-                     (|unusedCommentLineNumbers|
-                         (|sayKeyedMsg| 'S2CD0006
-                             (CONS (STRCONC (STRINGIMAGE |bigcnt|)
-                                    ".")
-                                   (CONS |name| NIL)))
-                         (DO ((G166501 |unusedCommentLineNumbers|
-                                  (CDR G166501))
-                              (G166338 NIL))
-                             ((OR (ATOM G166501)
-                                  (PROGN
-                                    (SETQ G166338 (CAR G166501))
-                                    NIL)
-                                  (PROGN
-                                    (PROGN
-                                      (SPADLET |n| (CAR G166338))
-                                      (SPADLET |r| (CADR G166338))
-                                      G166338)
-                                    NIL))
-                              NIL)
-                           (SEQ (EXIT (|sayMSG|
-                                       (CONS "   "
-                                        (APPEND (|bright| |n|)
-                                         (CONS "   "
-                                          (CONS |r| NIL)))))))))
-                     ('T NIL)))
-                  ('T NIL))))
-             (|finalizeDocumentation,hn|
-                 (PROG (G166513)
-                   (SPADLET G166513 NIL)
-                   (RETURN
-                     (DO ((G166519 |docList| (CDR G166519))
-                          (G166408 NIL))
-                         ((OR (ATOM G166519)
-                              (PROGN
-                                (SETQ G166408 (CAR G166519))
-                                NIL)
-                              (PROGN
-                                (PROGN
-                                  (SPADLET |sig| (CAR G166408))
-                                  (SPADLET |doc| (CDR G166408))
-                                  G166408)
-                                NIL))
-                          (NREVERSE0 G166513))
-                       (SEQ (EXIT (SETQ G166513
-                                        (CONS
-                                         (APPEND
-                                          (|finalizeDocumentation,fn|
-                                           |sig| |$e|)
-                                          |doc|)
-                                         G166513)))))))))))))
-
-;--=======================================================================
-;--             Transformation of ++ comments
-;--=======================================================================
-;transDocList($constructorName,doclist) == --returns ((key line)...)
-;--called ONLY by finalizeDocumentation
-;--if $exposeFlag then messages go to file $outStream; flag=nil by default
-;  sayBrightly ['"   Processing ",$constructorName,'" for Browser database:"]
-;  commentList := transDoc($constructorName,doclist)
-;  acc := nil
-;  for entry in commentList repeat
-;    entry is ['constructor,x] =>
-;      conEntry => checkDocError ['"Spurious comments: ",x]
-;      conEntry := entry
-;    acc := [entry,:acc]
-;  conEntry => [conEntry,:acc]
-;  checkDocError1 ['"Missing Description"]
-;  acc
-
-(DEFUN |transDocList| (|$constructorName| |doclist|)
-  (DECLARE (SPECIAL |$constructorName|))
-  (PROG (|commentList| |ISTMP#1| |x| |conEntry| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (|sayBrightly|
-                 (CONS "   Processing "
-                       (CONS |$constructorName|
-                             (CONS                                     " for Browser database:"
-                                   NIL))))
-             (SPADLET |commentList|
-                      (|transDoc| |$constructorName| |doclist|))
-             (SPADLET |acc| NIL)
-             (DO ((G166575 |commentList| (CDR G166575))
-                  (|entry| NIL))
-                 ((OR (ATOM G166575)
-                      (PROGN (SETQ |entry| (CAR G166575)) NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((AND (PAIRP |entry|)
-                                  (EQ (QCAR |entry|) '|constructor|)
-                                  (PROGN
-                                    (SPADLET |ISTMP#1| (QCDR |entry|))
-                                    (AND (PAIRP |ISTMP#1|)
-                                     (EQ (QCDR |ISTMP#1|) NIL)
-                                     (PROGN
-                                       (SPADLET |x| (QCAR |ISTMP#1|))
-                                       'T))))
-                             (COND
-                               (|conEntry|
-                                   (|checkDocError|
-                                    (CONS
-                                     "Spurious comments: "
-                                     (CONS |x| NIL))))
-                               ('T (SPADLET |conEntry| |entry|))))
-                            ('T (SPADLET |acc| (CONS |entry| |acc|)))))))
-             (COND
-               (|conEntry| (CONS |conEntry| |acc|))
-               ('T
-                (|checkDocError1|
-                    (CONS "Missing Description" NIL))
-                |acc|)))))))
-
-;transDoc(conname,doclist) ==
-;--$exposeFlag and not isExposedConstructor conname => nil
-;--skip over unexposed constructors when checking system files
-;  $x: local := nil
-;  rlist := REVERSE doclist
-;  for [$x,:lines] in rlist repeat
-;    $attribute? : local := $x is [.,[key]] and key = 'attribute
-;    null lines =>
-;      $attribute? => nil
-;      checkDocError1 ['"Not documented!!!!"]
-;    u := checkTrim($x,(STRINGP lines => [lines]; $x = 'constructor => first lines; lines))
-;    $argl : local := nil    --set by checkGetArgs
-;-- tpd: related domain information doesn't exist
-;--    if v := checkExtract('"Related Domains:",u) then
-;--      $lisplibRelatedDomains:=[w for x in gn(v) | w := fn(x)] where
-;--        gn(v) ==  --note: unabbrev checks for correct number of arguments
-;--          s := checkExtractItemList v
-;--          parse := ncParseFromString s  --is a single conform or a tuple
-;--          null parse => nil
-;--          parse is ['Tuple,:r] => r
-;--          [parse]
-;--        fn(x) ==
-;--          expectedNumOfArgs := checkNumOfArgs x
-;--          null expectedNumOfArgs =>
-;--            checkDocError ['"Unknown constructor name?: ",opOf x]
-;--            x
-;--          expectedNumOfArgs ^= (n := #(IFCDR x)) =>
-;--            n = 0 => checkDocError1
-;--              ['"You must give arguments to the _"Related Domain_": ",x]
-;--            checkDocError
-;--              ['"_"Related Domain_" has wrong number of arguments: ",x]
-;--            nil
-;--          n=0 and atom x => [x]
-;--          x
-;    longline :=
-;      $x = 'constructor =>
-;        v :=checkExtract('"Description:",u) or u and
-;              checkExtract('"Description:",
-;                [STRCONC('"Description: ",first u),:rest u])
-;        transformAndRecheckComments('constructor,v or u)
-;      transformAndRecheckComments($x,u)
-;    acc := [[$x,longline],:acc]  --processor assumes a list of lines
-;  NREVERSE acc
-
-(DEFUN |transDoc| (|conname| |doclist|)
-  (PROG (|$x| |$attribute?| |$argl| |rlist| |lines| |ISTMP#1| |ISTMP#2|
-              |key| |u| |v| |longline| |acc|)
-    (DECLARE (SPECIAL |$x| |$attribute?| |$argl|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$x| NIL)
-             (SPADLET |rlist| (REVERSE |doclist|))
-             (DO ((G166623 |rlist| (CDR G166623)) (G166606 NIL))
-                 ((OR (ATOM G166623)
-                      (PROGN (SETQ G166606 (CAR G166623)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |$x| (CAR G166606))
-                          (SPADLET |lines| (CDR G166606))
-                          G166606)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |$attribute?|
-                                     (AND (PAIRP |$x|)
-                                      (PROGN
-                                        (SPADLET |ISTMP#1| (QCDR |$x|))
-                                        (AND (PAIRP |ISTMP#1|)
-                                         (EQ (QCDR |ISTMP#1|) NIL)
-                                         (PROGN
-                                           (SPADLET |ISTMP#2|
-                                            (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
-                                            (EQ (QCDR |ISTMP#2|) NIL)
-                                            (PROGN
-                                              (SPADLET |key|
-                                               (QCAR |ISTMP#2|))
-                                              'T)))))
-                                      (BOOT-EQUAL |key| '|attribute|)))
-                            (COND
-                              ((NULL |lines|)
-                               (COND
-                                 (|$attribute?| NIL)
-                                 ('T
-                                  (|checkDocError1|
-                                      (CONS
-                                                                               "Not documented!!!!"
-                                       NIL)))))
-                              ('T
-                               (SPADLET |u|
-                                        (|checkTrim| |$x|
-                                         (COND
-                                           ((STRINGP |lines|)
-                                            (CONS |lines| NIL))
-                                           ((BOOT-EQUAL |$x|
-                                             '|constructor|)
-                                            (CAR |lines|))
-                                           ('T |lines|))))
-                               (SPADLET |$argl| NIL)
-                               (SPADLET |longline|
-                                        (COND
-                                          ((BOOT-EQUAL |$x|
-                                            '|constructor|)
-                                           (SPADLET |v|
-                                            (OR
-                                             (|checkExtract|
-                                                                                             "Description:"
-                                              |u|)
-                                             (AND |u|
-                                              (|checkExtract|
-                                                                                               "Description:"
-                                               (CONS
-                                                (STRCONC
-                                                                                                   "Description: "
-                                                 (CAR |u|))
-                                                (CDR |u|))))))
-                                           (|transformAndRecheckComments|
-                                            '|constructor|
-                                            (OR |v| |u|)))
-                                          ('T
-                                           (|transformAndRecheckComments|
-                                            |$x| |u|))))
-                               (SPADLET |acc|
-                                        (CONS
-                                         (CONS |$x|
-                                          (CONS |longline| NIL))
-                                         |acc|))))))))
-             (NREVERSE |acc|))))))
-
-;checkExtractItemList l ==  --items are separated by commas or end of line
-;  acc := nil               --l is list of remaining lines
-;  while l repeat           --stop when you get to a line with a colon
-;    m := MAXINDEX first l
-;    k := charPosition(char '_:,first l,0)
-;    k <= m => return nil
-;    acc := [first l,:acc]
-;    l := rest l
-;  "STRCONC"/[x for x in NREVERSE acc]
-
-(DEFUN |checkExtractItemList| (|l|)
-  (PROG (|m| |k| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (DO () ((NULL |l|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |m| (MAXINDEX (CAR |l|)))
-                            (SPADLET |k|
-                                     (|charPosition| (|char| '|:|)
-                                      (CAR |l|) 0))
-                            (COND
-                              ((<= |k| |m|) (RETURN NIL))
-                              ('T
-                               (SPADLET |acc| (CONS (CAR |l|) |acc|))
-                               (SPADLET |l| (CDR |l|))))))))
-             (PROG (G166663)
-               (SPADLET G166663 "")
-               (RETURN
-                 (DO ((G166668 (NREVERSE |acc|) (CDR G166668))
-                      (|x| NIL))
-                     ((OR (ATOM G166668)
-                          (PROGN (SETQ |x| (CAR G166668)) NIL))
-                      G166663)
-                   (SEQ (EXIT (SETQ G166663 (STRCONC G166663 |x|))))))))))))
-
-;--NREVERSE("append"/[fn string for string in acc]) where
-;--  fn(string) ==
-;--    m := MAXINDEX string
-;--    acc := nil
-;--    i := 0
-;--    while i < m and (k := charPosition(char '_,,string,i)) < m repeat
-;--      if (t := trimString SUBSTRING(string,i,k-i)) ^= '"" then acc := [t,:acc]
-;--      i := k + 1
-;--    if i < m then
-;--      if (t := trimString SUBSTRING(string,i,k-i)) ^= '"" then acc := [t,:acc]
-;--    acc
-;transformAndRecheckComments(name,lines) ==
-;  $checkingXmptex? := false
-;  $x            : local := name
-;  $name         : local := 'GlossaryPage
-;  $origin       : local := 'gloss
-;  $recheckingFlag : local := false
-;  $exposeFlagHeading : local := ['"--------",name,'"---------"]
-;  if null $exposeFlag then sayBrightly $exposeFlagHeading
-;  u := checkComments(name,lines)
-;  $recheckingFlag := true
-;  checkRewrite(name,[u])
-;  $recheckingFlag := false
-;  u
-
-(DEFUN |transformAndRecheckComments| (|name| |lines|)
-  (PROG (|$x| |$name| |$origin| |$recheckingFlag| |$exposeFlagHeading| |u|)
-    (DECLARE (SPECIAL |$x| |$name| |$origin| |$recheckingFlag|
-                      |$exposeFlagHeading| |$exposeFlag| |$checkingXmptex?|))
-    (RETURN
-      (PROGN
-        (SPADLET |$checkingXmptex?| NIL)
-        (SPADLET |$x| |name|)
-        (SPADLET |$name| '|GlossaryPage|)
-        (SPADLET |$origin| '|gloss|)
-        (SPADLET |$recheckingFlag| NIL)
-        (SPADLET |$exposeFlagHeading|
-                 (CONS "--------"
-                       (CONS |name|
-                             (CONS "---------" NIL))))
-        (COND
-          ((NULL |$exposeFlag|) (|sayBrightly| |$exposeFlagHeading|)))
-        (SPADLET |u| (|checkComments| |name| |lines|))
-        (SPADLET |$recheckingFlag| 'T)
-        (|checkRewrite| |name| (CONS |u| NIL))
-        (SPADLET |$recheckingFlag| NIL)
-        |u|))))
-
-;checkRewrite(name,lines) == main where   --similar to checkComments from c-doc
-;  main ==
-;    $checkErrorFlag: local := true
-;    margin := 0
-;    lines := checkRemoveComments lines
-;    u := lines
-;    if $checkingXmptex? then
-;      u := [checkAddIndented(x,margin) for x in u]
-;    $argl := checkGetArgs first u      --set $argl
-;    u2 := nil
-;    verbatim := nil
-;    for x in u repeat
-;        w := newString2Words x
-;        verbatim =>
-;          w and first w = '"\end{verbatim}" =>
-;            verbatim := false
-;            u2 := append(u2, w)
-;          u2 := append(u2, [x])
-;        w and first w = '"\begin{verbatim}" =>
-;            verbatim := true
-;            u2 := append(u2, w)
-;        u2 := append(u2, w)
-;    u := u2
-;    u := checkAddSpaces u
-;    u := checkSplit2Words u
-;    u := checkAddMacros u
-;    u := checkTexht u
-;--  checkBalance u
-;    okBefore := null $checkErrorFlag
-;    checkArguments u
-;    if $checkErrorFlag then u := checkFixCommonProblem u
-;    checkRecordHash u
-;--  u := checkTranVerbatim u
-;    checkDecorateForHt u
-
-(DEFUN |checkRewrite| (|name| |lines|)
-  (PROG (|$checkErrorFlag| |margin| |w| |verbatim| |u2| |okBefore| |u|)
-    (DECLARE (SPECIAL |$checkErrorFlag| |$argl| |$checkingXmptex?|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$checkErrorFlag| 'T)
-             (SPADLET |margin| 0)
-             (SPADLET |lines| (|checkRemoveComments| |lines|))
-             (SPADLET |u| |lines|)
-             (COND
-               (|$checkingXmptex?|
-                   (SPADLET |u|
-                            (PROG (G166716)
-                              (SPADLET G166716 NIL)
-                              (RETURN
-                                (DO ((G166721 |u| (CDR G166721))
-                                     (|x| NIL))
-                                    ((OR (ATOM G166721)
-                                      (PROGN
-                                        (SETQ |x| (CAR G166721))
-                                        NIL))
-                                     (NREVERSE0 G166716))
-                                  (SEQ (EXIT
-                                        (SETQ G166716
-                                         (CONS
-                                          (|checkAddIndented| |x|
-                                           |margin|)
-                                          G166716))))))))))
-             (SPADLET |$argl| (|checkGetArgs| (CAR |u|)))
-             (SPADLET |u2| NIL)
-             (SPADLET |verbatim| NIL)
-             (DO ((G166732 |u| (CDR G166732)) (|x| NIL))
-                 ((OR (ATOM G166732)
-                      (PROGN (SETQ |x| (CAR G166732)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |w| (|newString2Words| |x|))
-                            (COND
-                              (|verbatim|
-                                  (COND
-                                    ((AND |w|
-                                      (BOOT-EQUAL (CAR |w|)
-                                       "\\end{verbatim}"))
-                                     (SPADLET |verbatim| NIL)
-                                     (SPADLET |u2| (APPEND |u2| |w|)))
-                                    ('T
-                                     (SPADLET |u2|
-                                      (APPEND |u2| (CONS |x| NIL))))))
-                              ((AND |w|
-                                    (BOOT-EQUAL (CAR |w|)
-                                     "\\begin{verbatim}"))
-                               (SPADLET |verbatim| 'T)
-                               (SPADLET |u2| (APPEND |u2| |w|)))
-                              ('T (SPADLET |u2| (APPEND |u2| |w|))))))))
-             (SPADLET |u| |u2|)
-             (SPADLET |u| (|checkAddSpaces| |u|))
-             (SPADLET |u| (|checkSplit2Words| |u|))
-             (SPADLET |u| (|checkAddMacros| |u|))
-             (SPADLET |u| (|checkTexht| |u|))
-             (SPADLET |okBefore| (NULL |$checkErrorFlag|))
-             (|checkArguments| |u|)
-             (COND
-               (|$checkErrorFlag|
-                   (SPADLET |u| (|checkFixCommonProblem| |u|))))
-             (|checkRecordHash| |u|)
-             (|checkDecorateForHt| |u|))))))
-
-;checkTexht u ==
-;  count := 0
-;  acc   := nil
-;  while u repeat
-;    x := first u
-;    if x = '"\texht" and (u := IFCDR u) then
-;        if not (IFCAR u = $charLbrace) then
-;           checkDocError '"First left brace after \texht missing"
-;        count := 1  -- drop first argument including braces of \texht
-;        while ((y := IFCAR (u := rest u))^= $charRbrace or count > 1) repeat
-;          if y = $charLbrace then count := count + 1
-;          if y = $charRbrace then count := count - 1
-;        x :=  IFCAR (u := rest u)  -- drop first right brace of 1st arg
-;    if x = '"\httex" and (u := IFCDR u) and (IFCAR u = $charLbrace) then
-;        acc := [IFCAR u,:acc]      --left  brace: add it
-;        while (y := IFCAR (u := rest u)) ^= $charRbrace repeat (acc := [y,:acc])
-;        acc := [IFCAR u,:acc]      --right brace: add it
-;        x :=  IFCAR (u := rest u)  --left brace:  forget it
-;        while IFCAR (u := rest u) ^= $charRbrace repeat 'skip
-;        x :=  IFCAR (u := rest u)  --forget right brace: move to next char
-;    acc := [x,:acc]
-;    u := rest u
-;  NREVERSE acc
-
-(DEFUN |checkTexht| (|u|)
-  (PROG (|count| |y| |x| |acc|)
-  (declare (special |$charRbrace| |$charLbrace|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |count| 0)
-             (SPADLET |acc| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (COND
-                              ((AND (BOOT-EQUAL |x|
-                                     "\\texht")
-                                    (SPADLET |u| (IFCDR |u|)))
-                               (COND
-                                 ((NULL (BOOT-EQUAL (IFCAR |u|)
-                                         |$charLbrace|))
-                                  (|checkDocError|
-                                                                         "First left brace after \\texht missing")))
-                               (SPADLET |count| 1)
-                               (DO ()
-                                   ((NULL
-                                     (OR
-                                      (NEQUAL
-                                       (SPADLET |y|
-                                        (IFCAR (SPADLET |u| (CDR |u|))))
-                                       |$charRbrace|)
-                                      (> |count| 1)))
-                                    NIL)
-                                 (SEQ (EXIT
-                                       (PROGN
-                                         (COND
-                                           ((BOOT-EQUAL |y|
-                                             |$charLbrace|)
-                                            (SPADLET |count|
-                                             (PLUS |count| 1))))
-                                         (COND
-                                           ((BOOT-EQUAL |y|
-                                             |$charRbrace|)
-                                            (SPADLET |count|
-                                             (SPADDIFFERENCE |count| 1)))
-                                           ('T NIL))))))
-                               (SPADLET |x|
-                                        (IFCAR (SPADLET |u| (CDR |u|))))))
-                            (COND
-                              ((AND (BOOT-EQUAL |x|
-                                     "\\httex")
-                                    (SPADLET |u| (IFCDR |u|))
-                                    (BOOT-EQUAL (IFCAR |u|)
-                                     |$charLbrace|))
-                               (SPADLET |acc| (CONS (IFCAR |u|) |acc|))
-                               (DO ()
-                                   ((NULL
-                                     (NEQUAL
-                                      (SPADLET |y|
-                                       (IFCAR (SPADLET |u| (CDR |u|))))
-                                      |$charRbrace|))
-                                    NIL)
-                                 (SEQ (EXIT
-                                       (SPADLET |acc| (CONS |y| |acc|)))))
-                               (SPADLET |acc| (CONS (IFCAR |u|) |acc|))
-                               (SPADLET |x|
-                                        (IFCAR (SPADLET |u| (CDR |u|))))
-                               (DO ()
-                                   ((NULL
-                                     (NEQUAL
-                                      (IFCAR (SPADLET |u| (CDR |u|)))
-                                      |$charRbrace|))
-                                    NIL)
-                                 (SEQ (EXIT '|skip|)))
-                               (SPADLET |x|
-                                        (IFCAR (SPADLET |u| (CDR |u|))))))
-                            (SPADLET |acc| (CONS |x| |acc|))
-                            (SPADLET |u| (CDR |u|))))))
-             (NREVERSE |acc|))))))
-
-;checkRecordHash u ==
-;  while u repeat
-;    x := first u
-;    if STRINGP x and x.0 = $charBack then
-;      if MEMBER(x,$HTlinks) and (u := checkLookForLeftBrace IFCDR u)
-;           and (u := checkLookForRightBrace IFCDR u)
-;             and (u := checkLookForLeftBrace IFCDR u) and (u := IFCDR u) then
-;        htname := intern IFCAR u
-;        entry := HGET($htHash,htname) or [nil]
-;        HPUT($htHash,htname,[first entry,:[[$name,:$origin],:rest entry]])
-;      else if MEMBER(x,$HTlisplinks) and (u := checkLookForLeftBrace IFCDR u)
-;            and (u := checkLookForRightBrace IFCDR u)
-;              and (u := checkLookForLeftBrace IFCDR u) and (u := IFCDR u) then
-;        htname := intern checkGetLispFunctionName checkGetStringBeforeRightBrace u
-;        entry := HGET($lispHash,htname) or [nil]
-;        HPUT($lispHash,htname,[first entry,:[[$name,:$origin],:rest entry]])
-;      else if ((p := MEMBER(x,'("\gloss" "\spadglos")))
-;                 or (q := MEMBER(x,'("\glossSee" "\spadglosSee"))))
-;                    and (u := checkLookForLeftBrace IFCDR u)
-;                      and (u := IFCDR u) then
-;          if q then
-;             u := checkLookForRightBrace u
-;             u := checkLookForLeftBrace IFCDR u
-;             u := IFCDR u
-;          htname := intern checkGetStringBeforeRightBrace u
-;          entry := HGET($glossHash,htname) or [nil]
-;          HPUT($glossHash,htname,[first entry,:[[$name,:$origin],:rest entry]])
-;      else if x = '"\spadsys" and (u := checkLookForLeftBrace IFCDR u) and (u := IFCDR u) then
-;          s := checkGetStringBeforeRightBrace u
-;          if s.0 = char '_) then s := SUBSTRING(s,1,nil)
-;          parse := checkGetParse s
-;          null parse => checkDocError ['"Unparseable \spadtype: ",s]
-;          not MEMBER(opOf parse,$currentSysList) =>
-;            checkDocError ['"Bad system command: ",s]
-;          atom parse or not (parse is ['set,arg]) => 'ok  ---assume ok
-;          not spadSysChoose($setOptions,arg) =>
-;            checkDocError ['"Incorrect \spadsys: ",s]
-;            entry := HGET($sysHash,htname) or [nil]
-;            HPUT($sysHash,htname,[first entry,:[[$name,:$origin],:rest entry]])
-;      else if x = '"\spadtype" and (u := checkLookForLeftBrace IFCDR u) and (u := IFCDR u) then
-;          s := checkGetStringBeforeRightBrace u
-;          parse := checkGetParse s
-;          null parse => checkDocError ['"Unparseable \spadtype: ",s]
-;          n := checkNumOfArgs parse
-;          null n => checkDocError ['"Unknown \spadtype: ", s]
-;          atom parse and n > 0 => 'skip
-;          null (key := checkIsValidType parse) =>
-;            checkDocError ['"Unknown \spadtype: ", s]
-;          atom key => 'ok
-;          checkDocError ['"Wrong number of arguments: ",form2HtString key]
-;      else if MEMBER(x,'("\spadop" "\keyword")) and (u := checkLookForLeftBrace IFCDR u) and (u := IFCDR u) then
-;          x := intern checkGetStringBeforeRightBrace u
-;          not (GET(x,'Led) or GET(x,'Nud)) =>
-;            checkDocError ['"Unknown \spadop: ",x]
-;    u := rest u
-;  'done
-
-(DEFUN |checkRecordHash| (|u|)
-  (PROG (|p| |q| |htname| |ISTMP#1| |arg| |entry| |s| |parse| |n| |key| |x|)
-  (declare (special |$origin| |$name| |$sysHash| |$setOptions| |$glossHash|
-                    |$currentSysList| |$lispHash| |$HTlisplinks| |$htHash|
-                    |$HTlinks| |$charBack|))
-    (RETURN
-      (SEQ (PROGN
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (COND
-                              ((AND (STRINGP |x|)
-                                    (BOOT-EQUAL (ELT |x| 0)
-                                     |$charBack|))
-                               (COND
-                                 ((AND (|member| |x| |$HTlinks|)
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u|
-                                        (|checkLookForRightBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u| (IFCDR |u|)))
-                                  (SPADLET |htname|
-                                           (|intern| (IFCAR |u|)))
-                                  (SPADLET |entry|
-                                           (OR
-                                            (HGET |$htHash| |htname|)
-                                            (CONS NIL NIL)))
-                                  (HPUT |$htHash| |htname|
-                                        (CONS (CAR |entry|)
-                                         (CONS (CONS |$name| |$origin|)
-                                          (CDR |entry|)))))
-                                 ((AND (|member| |x| |$HTlisplinks|)
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u|
-                                        (|checkLookForRightBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u| (IFCDR |u|)))
-                                  (SPADLET |htname|
-                                           (|intern|
-                                            (|checkGetLispFunctionName|
-                                             (|checkGetStringBeforeRightBrace|
-                                              |u|))))
-                                  (SPADLET |entry|
-                                           (OR
-                                            (HGET |$lispHash| |htname|)
-                                            (CONS NIL NIL)))
-                                  (HPUT |$lispHash| |htname|
-                                        (CONS (CAR |entry|)
-                                         (CONS (CONS |$name| |$origin|)
-                                          (CDR |entry|)))))
-                                 ((AND (OR
-                                        (SPADLET |p|
-                                         (|member| |x|
-                                          '("\\gloss" "\\spadglos")))
-                                        (SPADLET |q|
-                                         (|member| |x|
-                                          '("\\glossSee"
-                                            "\\spadglosSee"))))
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u| (IFCDR |u|)))
-                                  (COND
-                                    (|q|
-                                     (SPADLET |u|
-                                      (|checkLookForRightBrace| |u|))
-                                     (SPADLET |u|
-                                      (|checkLookForLeftBrace|
-                                       (IFCDR |u|)))
-                                     (SPADLET |u| (IFCDR |u|))))
-                                  (SPADLET |htname|
-                                           (|intern|
-                                            (|checkGetStringBeforeRightBrace|
-                                             |u|)))
-                                  (SPADLET |entry|
-                                           (OR
-                                            (HGET |$glossHash|
-                                             |htname|)
-                                            (CONS NIL NIL)))
-                                  (HPUT |$glossHash| |htname|
-                                        (CONS (CAR |entry|)
-                                         (CONS (CONS |$name| |$origin|)
-                                          (CDR |entry|)))))
-                                 ((AND (BOOT-EQUAL |x|
-                                        "\\spadsys")
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u| (IFCDR |u|)))
-                                  (SPADLET |s|
-                                           (|checkGetStringBeforeRightBrace|
-                                            |u|))
-                                  (COND
-                                    ((BOOT-EQUAL (ELT |s| 0)
-                                      (|char| '|)|))
-                                     (SPADLET |s|
-                                      (SUBSTRING |s| 1 NIL))))
-                                  (SPADLET |parse|
-                                           (|checkGetParse| |s|))
-                                  (COND
-                                    ((NULL |parse|)
-                                     (|checkDocError|
-                                      (CONS
-                                                                               "Unparseable \\spadtype: "
-                                       (CONS |s| NIL))))
-                                    ((NULL
-                                      (|member| (|opOf| |parse|)
-                                       |$currentSysList|))
-                                     (|checkDocError|
-                                      (CONS
-                                                                               "Bad system command: "
-                                       (CONS |s| NIL))))
-                                    ((OR (ATOM |parse|)
-                                      (NULL
-                                       (AND (PAIRP |parse|)
-                                        (EQ (QCAR |parse|) '|set|)
-                                        (PROGN
-                                          (SPADLET |ISTMP#1|
-                                           (QCDR |parse|))
-                                          (AND (PAIRP |ISTMP#1|)
-                                           (EQ (QCDR |ISTMP#1|) NIL)
-                                           (PROGN
-                                             (SPADLET |arg|
-                                              (QCAR |ISTMP#1|))
-                                             'T))))))
-                                     '|ok|)
-                                    ((NULL
-                                      (|spadSysChoose| |$setOptions|
-                                       |arg|))
-                                     (PROGN
-                                       (|checkDocError|
-                                        (CONS
-                                                                                   "Incorrect \\spadsys: "
-                                         (CONS |s| NIL)))
-                                       (SPADLET |entry|
-                                        (OR (HGET |$sysHash| |htname|)
-                                         (CONS NIL NIL)))
-                                       (HPUT |$sysHash| |htname|
-                                        (CONS (CAR |entry|)
-                                         (CONS (CONS |$name| |$origin|)
-                                          (CDR |entry|))))))))
-                                 ((AND (BOOT-EQUAL |x|
-                                        "\\spadtype")
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u| (IFCDR |u|)))
-                                  (SPADLET |s|
-                                           (|checkGetStringBeforeRightBrace|
-                                            |u|))
-                                  (SPADLET |parse|
-                                           (|checkGetParse| |s|))
-                                  (COND
-                                    ((NULL |parse|)
-                                     (|checkDocError|
-                                      (CONS
-                                                                               "Unparseable \\spadtype: "
-                                       (CONS |s| NIL))))
-                                    ('T
-                                     (SPADLET |n|
-                                      (|checkNumOfArgs| |parse|))
-                                     (COND
-                                       ((NULL |n|)
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "Unknown \\spadtype: "
-                                          (CONS |s| NIL))))
-                                       ((AND (ATOM |parse|) (> |n| 0))
-                                        '|skip|)
-                                       ((NULL
-                                         (SPADLET |key|
-                                          (|checkIsValidType| |parse|)))
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "Unknown \\spadtype: "
-                                          (CONS |s| NIL))))
-                                       ((ATOM |key|) '|ok|)
-                                       ('T
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "Wrong number of arguments: "
-                                          (CONS (|form2HtString| |key|)
-                                           NIL))))))))
-                                 ((AND (|member| |x|
-                                        '("\\spadop" "\\keyword"))
-                                       (SPADLET |u|
-                                        (|checkLookForLeftBrace|
-                                         (IFCDR |u|)))
-                                       (SPADLET |u| (IFCDR |u|)))
-                                  (SPADLET |x|
-                                           (|intern|
-                                            (|checkGetStringBeforeRightBrace|
-                                             |u|)))
-                                  (COND
-                                    ((NULL
-                                      (OR (GETL |x| '|Led|)
-                                       (GETL |x| '|Nud|)))
-                                     (|checkDocError|
-                                      (CONS
-                                                                               "Unknown \\spadop: "
-                                       (CONS |x| NIL))))))
-                                 ('T NIL))))
-                            (SPADLET |u| (CDR |u|))))))
-             '|done|)))))
-
-;checkGetParse s == ncParseFromString removeBackslashes s
-
-(DEFUN |checkGetParse| (|s|)
-  (|ncParseFromString| (|removeBackslashes| |s|)))
-
-;removeBackslashes s ==
-;    s = '"" => '""
-;    (k := charPosition($charBack,s,0)) < #s =>
-;      k = 0 => removeBackslashes SUBSTRING(s,1,nil)
-;      STRCONC(SUBSTRING(s,0,k),removeBackslashes SUBSTRING(s,k + 1,nil))
-;    s
-
-(DEFUN |removeBackslashes| (|s|)
-  (PROG (|k|)
-  (declare (special |$charBack|))
-    (RETURN
-      (COND
-        ((BOOT-EQUAL |s| "") "")
-        ((> (|#| |s|) (SPADLET |k| (|charPosition| |$charBack| |s| 0)))
-         (COND
-           ((EQL |k| 0) (|removeBackslashes| (SUBSTRING |s| 1 NIL)))
-           ('T
-            (STRCONC (SUBSTRING |s| 0 |k|)
-                     (|removeBackslashes|
-                         (SUBSTRING |s| (PLUS |k| 1) NIL))))))
-        ('T |s|)))))
-
-;checkNumOfArgs conform ==
-;  conname := opOf conform
-;  constructor? conname or (conname := abbreviation? conname) =>
-;    #GETDATABASE(conname,'CONSTRUCTORARGS)
-;  nil  --signals error
-
-(DEFUN |checkNumOfArgs| (|conform|)
-  (PROG (|conname|)
-    (RETURN
-      (PROGN
-        (SPADLET |conname| (|opOf| |conform|))
-        (COND
-          ((OR (|constructor?| |conname|)
-               (SPADLET |conname| (|abbreviation?| |conname|)))
-           (|#| (GETDATABASE |conname| 'CONSTRUCTORARGS)))
-          ('T NIL))))))
-
-;checkIsValidType form == main where
-;--returns ok if correct, form is wrong number of arguments, nil if unknown
-;  main ==
-;    atom form => 'ok
-;    [op,:args] := form
-;    conname := (constructor? op => op; abbreviation? op)
-;    null conname => nil
-;    fn(form,GETDATABASE(conname,'COSIG))
-;  fn(form,coSig) ==
-;    #form ^= #coSig => form
-;    or/[null checkIsValidType x for x in rest form for flag in rest coSig | flag]
-;      => nil
-;    'ok
-
-(DEFUN |checkIsValidType,fn| (|form| |coSig|)
-  (PROG ()
-    (RETURN
-      (SEQ (IF (NEQUAL (|#| |form|) (|#| |coSig|)) (EXIT |form|))
-           (IF (PROG (G166927)
-                 (SPADLET G166927 NIL)
-                 (RETURN
-                   (DO ((G166935 NIL G166927)
-                        (G166936 (CDR |form|) (CDR G166936))
-                        (|x| NIL)
-                        (G166937 (CDR |coSig|) (CDR G166937))
-                        (|flag| NIL))
-                       ((OR G166935 (ATOM G166936)
-                            (PROGN (SETQ |x| (CAR G166936)) NIL)
-                            (ATOM G166937)
-                            (PROGN (SETQ |flag| (CAR G166937)) NIL))
-                        G166927)
-                     (SEQ (EXIT (COND
-                                  (|flag| (SETQ G166927
-                                           (OR G166927
-                                            (NULL
-                                             (|checkIsValidType| |x|)))))))))))
-               (EXIT NIL))
-           (EXIT '|ok|)))))
-
-(DEFUN |checkIsValidType| (|form|)
-  (PROG (|op| |args| |conname|)
-    (RETURN
-      (COND
-        ((ATOM |form|) '|ok|)
-        ('T (SPADLET |op| (CAR |form|)) (SPADLET |args| (CDR |form|))
-         (SPADLET |conname|
-                  (COND
-                    ((|constructor?| |op|) |op|)
-                    ('T (|abbreviation?| |op|))))
-         (COND
-           ((NULL |conname|) NIL)
-           ('T
-            (|checkIsValidType,fn| |form|
-                (GETDATABASE |conname| 'COSIG)))))))))
-
-;checkGetLispFunctionName s ==
-;  n := #s
-;  (k := charPosition(char '_|,s,1)) and k < n and
-;    (j := charPosition(char '_|,s,k + 1)) and j < n => SUBSTRING(s,k + 1,j-k-1)
-;  checkDocError ['"Ill-formed lisp expression : ",s]
-;  'illformed
-
-(DEFUN |checkGetLispFunctionName| (|s|)
-  (PROG (|n| |k| |j|)
-    (RETURN
-      (PROGN
-        (SPADLET |n| (|#| |s|))
-        (COND
-          ((AND (SPADLET |k| (|charPosition| (|char| '|\||) |s| 1))
-                (> |n| |k|)
-                (SPADLET |j|
-                         (|charPosition| (|char| '|\||) |s|
-                             (PLUS |k| 1)))
-                (> |n| |j|))
-           (SUBSTRING |s| (PLUS |k| 1)
-               (SPADDIFFERENCE (SPADDIFFERENCE |j| |k|) 1)))
-          ('T
-           (|checkDocError|
-               (CONS "Ill-formed lisp expression : "
-                     (CONS |s| NIL)))
-           '|illformed|))))))
-
-;checkGetStringBeforeRightBrace u ==
-;  acc := nil
-;  while u repeat
-;    x := first u
-;    x = $charRbrace => return "STRCONC"/(NREVERSE acc)
-;    acc := [x,:acc]
-;    u := rest u
-
-(DEFUN |checkGetStringBeforeRightBrace| (|u|)
-  (PROG (|x| |acc|)
-  (declare (special |$charRbrace|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (COND
-                              ((BOOT-EQUAL |x| |$charRbrace|)
-                               (RETURN
-                                 (PROG (G166979)
-                                   (SPADLET G166979 "")
-                                   (RETURN
-                                     (DO
-                                      ((G166984 (NREVERSE |acc|)
-                                        (CDR G166984))
-                                       (G166968 NIL))
-                                      ((OR (ATOM G166984)
-                                        (PROGN
-                                          (SETQ G166968
-                                           (CAR G166984))
-                                          NIL))
-                                       G166979)
-                                       (SEQ
-                                        (EXIT
-                                         (SETQ G166979
-                                          (STRCONC G166979 G166968)))))))))
-                              ('T (SPADLET |acc| (CONS |x| |acc|))
-                               (SPADLET |u| (CDR |u|)))))))))))))
-
-;--  checkTranVerbatim u ==
-;--    acc := nil
-;--    while u repeat
-;--      x := first u
-;--      x = '"\begin" and checkTranVerbatimMiddle u is [middle,:r] =>
-;--        acc := [$charRbrace,:middle,$charLbrace,'"\spadpaste",:acc]
-;--        u := r
-;--      if x = '"\spadcommand" then x := '"\spadpaste"
-;--      acc := [x,:acc]
-;--      u := rest u
-;--    NREVERSE acc
-;--
-;--  checkTranVerbatimMiddle u ==
-;--      (y := IFCAR (v := IFCDR u)) = $charLbrace and
-;--        (y := IFCAR (v := IFCDR v)) = '"verbatim" and
-;--          (y := IFCAR (v := IFCDR v)) = $charRbrace =>
-;--             w := IFCDR v
-;--             middle := nil
-;--             while w and (z := first w) ^= '"\end" repeat
-;--               middle := [z,:middle]
-;--               w := rest w
-;--             if (y := IFCAR (w := IFCDR w)) = $charLbrace and
-;--               (y := IFCAR (w := IFCDR w))  = '"verbatim" and
-;--                 (y := IFCAR (w := IFCDR w)) = $charRbrace then
-;--                    u := IFCDR w
-;--             else
-;--                checkDocError '"Missing \end{verbatim}"
-;--                u := w
-;--             [middle,:u]
-;--
-;--  checkTranVerbatim1 u ==
-;--    acc := nil
-;--    while u repeat
-;--      x := first u
-;--      x = '"\begin" and (y := IFCAR (v := IFCDR u)) = $charLbrace and
-;--        (y := IFCAR (v := IFCDR v)) = '"verbatim" and
-;--          (y := IFCAR (v := IFCDR v)) = $charRbrace =>
-;--             w := IFCDR v
-;--             middle := nil
-;--             while w and (z := first w) ^= '"\end" repeat
-;--               middle := [z,:middle]
-;--               w := rest w
-;--             if (y := IFCAR (w := IFCDR w)) = $charLbrace and
-;--               (y := IFCAR (w := IFCDR w))  = '"verbatim" and
-;--                 (y := IFCAR (w := IFCDR w)) = $charRbrace then
-;--                    u := IFCDR w
-;--             acc := [$charRbrace,:middle,$charLbrace,'"\spadpaste",:acc]
-;--      if x = '"\spadcommand" then x := '"\spadpaste"
-;--      acc := [x,:acc]
-;--      u := rest u
-;--    NREVERSE acc
-;appendOver [head,:tail] ==
-; acc := LASTNODE head
-; for x in tail repeat
-;   end := LASTNODE x
-;   RPLACD(acc,x)
-;   acc := end
-; head
-
-(DEFUN |appendOver| (G167000)
-  (PROG (|head| |tail| |end| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |head| (CAR G167000))
-             (SPADLET |tail| (CDR G167000))
-             (SPADLET |acc| (LASTNODE |head|))
-             (DO ((G167015 |tail| (CDR G167015)) (|x| NIL))
-                 ((OR (ATOM G167015)
-                      (PROGN (SETQ |x| (CAR G167015)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |end| (LASTNODE |x|))
-                            (RPLACD |acc| |x|)
-                            (SPADLET |acc| |end|)))))
-             |head|)))))
-
-;checkRemoveComments lines ==
-;  while lines repeat
-;    do
-;      line := checkTrimCommented first lines
-;      if firstNonBlankPosition line >= 0 then acc := [line,:acc]
-;    lines := rest lines
-;  NREVERSE acc
-
-(DEFUN |checkRemoveComments| (|lines|)
-  (PROG (|line| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (DO () ((NULL |lines|) NIL)
-               (SEQ (EXIT (PROGN
-                            (|do| (PROGN
-                                    (SPADLET |line|
-                                     (|checkTrimCommented|
-                                      (CAR |lines|)))
-                                    (COND
-                                      ((>=
-                                        (|firstNonBlankPosition|
-                                         |line|)
-                                        0)
-                                       (SPADLET |acc|
-                                        (CONS |line| |acc|)))
-                                      ('T NIL))))
-                            (SPADLET |lines| (CDR |lines|))))))
-             (NREVERSE |acc|))))))
-
-;checkTrimCommented line ==
-;  n := #line
-;  k := htcharPosition(char '_%,line,0)
-;  --line beginning with % is a comment
-;  k = 0 => '""
-;  --remarks beginning with %% are comments
-;  k >= n - 1 or line.(k + 1) ^= char '_% => line
-;  k < #line => SUBSTRING(line,0,k)
-;  line
-
-(DEFUN |checkTrimCommented| (|line|)
-  (PROG (|n| |k|)
-    (RETURN
-      (PROGN
-        (SPADLET |n| (|#| |line|))
-        (SPADLET |k| (|htcharPosition| (|char| '%) |line| 0))
-        (COND
-          ((EQL |k| 0) "")
-          ((OR (>= |k| (SPADDIFFERENCE |n| 1))
-               (NEQUAL (ELT |line| (PLUS |k| 1)) (|char| '%)))
-           |line|)
-          ((> (|#| |line|) |k|) (SUBSTRING |line| 0 |k|))
-          ('T |line|))))))
-
-;htcharPosition(char,line,i) ==
-;  m := #line
-;  k := charPosition(char,line,i)
-;  k = m => k
-;  k > 0 =>
-;    line.(k - 1) ^= $charBack => k
-;    htcharPosition(char,line,k + 1)
-;  0
-
-(DEFUN |htcharPosition| (|char| |line| |i|)
-  (PROG (|m| |k|)
-  (declare (special |$charBack|))
-    (RETURN
-      (PROGN
-        (SPADLET |m| (|#| |line|))
-        (SPADLET |k| (|charPosition| |char| |line| |i|))
-        (COND
-          ((BOOT-EQUAL |k| |m|) |k|)
-          ((> |k| 0)
-           (COND
-             ((NEQUAL (ELT |line| (SPADDIFFERENCE |k| 1)) |$charBack|)
-              |k|)
-             ('T (|htcharPosition| |char| |line| (PLUS |k| 1)))))
-          ('T 0))))))
-
-;checkAddMacros u ==
-;  acc := nil
-;  verbatim := false
-;  while u repeat
-;    x := first u
-;    acc :=
-;      x = '"\end{verbatim}" =>
-;        verbatim := false
-;        [x, :acc]
-;      verbatim => [x, :acc]
-;      x = '"\begin{verbatim}" =>
-;        verbatim := true
-;        [x, :acc]
-;      y := LASSOC(x,$HTmacs) => [:y,:acc]
-;      [x,:acc]
-;    u := rest u
-;  NREVERSE acc
-
-(DEFUN |checkAddMacros| (|u|)
-  (PROG (|x| |verbatim| |y| |acc|)
-  (declare (special |$HTmacs|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (SPADLET |verbatim| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (SPADLET |acc|
-                                     (COND
-                                       ((BOOT-EQUAL |x|
-                                         "\\end{verbatim}")
-                                        (SPADLET |verbatim| NIL)
-                                        (CONS |x| |acc|))
-                                       (|verbatim| (CONS |x| |acc|))
-                                       ((BOOT-EQUAL |x|
-                                                                                   "\\begin{verbatim}")
-                                        (SPADLET |verbatim| 'T)
-                                        (CONS |x| |acc|))
-                                       ((SPADLET |y|
-                                         (LASSOC |x| |$HTmacs|))
-                                        (APPEND |y| |acc|))
-                                       ('T (CONS |x| |acc|))))
-                            (SPADLET |u| (CDR |u|))))))
-             (NREVERSE |acc|))))))
-
-;checkComments(nameSig,lines) == main where
-;  main ==
-;    $checkErrorFlag: local := false
-;    margin := checkGetMargin lines
-;    if (null BOUNDP '$attribute? or null $attribute?)
-;      and nameSig ^= 'constructor then lines :=
-;        [checkTransformFirsts(first nameSig,first lines,margin),:rest lines]
-;    u := checkIndentedLines(lines, margin)
-;    $argl := checkGetArgs first u      --set $argl
-;    u2 := nil
-;    verbatim := nil
-;    for x in u repeat
-;        w := newString2Words x
-;        verbatim =>
-;          w and first w = '"\end{verbatim}" =>
-;            verbatim := false
-;            u2 := append(u2, w)
-;          u2 := append(u2, [x])
-;        w and first w = '"\begin{verbatim}" =>
-;            verbatim := true
-;            u2 := append(u2, w)
-;        u2 := append(u2, w)
-;    u := u2
-;    u := checkAddSpaces u
-;    u := checkIeEg u
-;    u := checkSplit2Words u
-;    checkBalance u
-;    okBefore := null $checkErrorFlag
-;    checkArguments u
-;    if $checkErrorFlag then u := checkFixCommonProblem u
-;    v := checkDecorate u
-;    res := "STRCONC"/[y for y in v]
-;    res := checkAddPeriod res
-;    if $checkErrorFlag then pp res
-;    res
-
-(DEFUN |checkComments| (|nameSig| |lines|)
-  (PROG (|$checkErrorFlag| |margin| |w| |verbatim| |u2| |okBefore| |u|
-            |v| |res|)
-    (DECLARE (SPECIAL |$checkErrorFlag| |$argl| |$attribute?|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$checkErrorFlag| NIL)
-             (SPADLET |margin| (|checkGetMargin| |lines|))
-             (COND
-               ((AND (OR (NULL (BOUNDP '|$attribute?|))
-                         (NULL |$attribute?|))
-                     (NEQUAL |nameSig| '|constructor|))
-                (SPADLET |lines|
-                         (CONS (|checkTransformFirsts| (CAR |nameSig|)
-                                   (CAR |lines|) |margin|)
-                               (CDR |lines|)))))
-             (SPADLET |u| (|checkIndentedLines| |lines| |margin|))
-             (SPADLET |$argl| (|checkGetArgs| (CAR |u|)))
-             (SPADLET |u2| NIL)
-             (SPADLET |verbatim| NIL)
-             (DO ((G167097 |u| (CDR G167097)) (|x| NIL))
-                 ((OR (ATOM G167097)
-                      (PROGN (SETQ |x| (CAR G167097)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |w| (|newString2Words| |x|))
-                            (COND
-                              (|verbatim|
-                                  (COND
-                                    ((AND |w|
-                                      (BOOT-EQUAL (CAR |w|)
-                                       "\\end{verbatim}"))
-                                     (SPADLET |verbatim| NIL)
-                                     (SPADLET |u2| (APPEND |u2| |w|)))
-                                    ('T
-                                     (SPADLET |u2|
-                                      (APPEND |u2| (CONS |x| NIL))))))
-                              ((AND |w|
-                                    (BOOT-EQUAL (CAR |w|)
-                                     "\\begin{verbatim}"))
-                               (SPADLET |verbatim| 'T)
-                               (SPADLET |u2| (APPEND |u2| |w|)))
-                              ('T (SPADLET |u2| (APPEND |u2| |w|))))))))
-             (SPADLET |u| |u2|)
-             (SPADLET |u| (|checkAddSpaces| |u|))
-             (SPADLET |u| (|checkIeEg| |u|))
-             (SPADLET |u| (|checkSplit2Words| |u|))
-             (|checkBalance| |u|)
-             (SPADLET |okBefore| (NULL |$checkErrorFlag|))
-             (|checkArguments| |u|)
-             (COND
-               (|$checkErrorFlag|
-                   (SPADLET |u| (|checkFixCommonProblem| |u|))))
-             (SPADLET |v| (|checkDecorate| |u|))
-             (SPADLET |res|
-                      (PROG (G167103)
-                        (SPADLET G167103 "")
-                        (RETURN
-                          (DO ((G167108 |v| (CDR G167108))
-                               (|y| NIL))
-                              ((OR (ATOM G167108)
-                                   (PROGN
-                                     (SETQ |y| (CAR G167108))
-                                     NIL))
-                               G167103)
-                            (SEQ (EXIT (SETQ G167103
-                                        (STRCONC G167103 |y|))))))))
-             (SPADLET |res| (|checkAddPeriod| |res|))
-             (COND (|$checkErrorFlag| (|pp| |res|)))
-             |res|)))))
-
-;checkIndentedLines(u, margin) ==
-;  verbatim := false
-;  u2 := nil
-;  for x in u repeat
-;    k := firstNonBlankPosition x
-;    k = -1 =>
-;        verbatim => u2 := [:u2, $charFauxNewline]
-;        u2 := [:u2, '"\blankline "]
-;    s := SUBSTRING(x, k, nil)
-;    s = '"\begin{verbatim}" =>
-;        verbatim := true
-;        u2 := [:u2, s]
-;    s = '"\end{verbatim}" =>
-;        verbatim := false
-;        u2 := [:u2, s]
-;    verbatim => u2 := [:u2, SUBSTRING(x, margin, nil)]
-;    margin = k => u2 := [:u2, s]
-;    u2 := [:u2, STRCONC('"\indented{",STRINGIMAGE(k-margin),'"}{",checkAddSpaceSegments(s,0),'"}")]
-;  u2
-
-(DEFUN |checkIndentedLines| (|u| |margin|)
-  (PROG (|k| |s| |verbatim| |u2|)
-  (declare (special |$charFauxNewline|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |verbatim| NIL)
-             (SPADLET |u2| NIL)
-             (DO ((G167153 |u| (CDR G167153)) (|x| NIL))
-                 ((OR (ATOM G167153)
-                      (PROGN (SETQ |x| (CAR G167153)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |k| (|firstNonBlankPosition| |x|))
-                            (COND
-                              ((BOOT-EQUAL |k| (SPADDIFFERENCE 1))
-                               (COND
-                                 (|verbatim|
-                                     (SPADLET |u2|
-                                      (APPEND |u2|
-                                       (CONS |$charFauxNewline| NIL))))
-                                 ('T
-                                  (SPADLET |u2|
-                                           (APPEND |u2|
-                                            (CONS
-                                                                                           "\\blankline "
-                                             NIL))))))
-                              ('T (SPADLET |s| (SUBSTRING |x| |k| NIL))
-                               (COND
-                                 ((BOOT-EQUAL |s|
-                                      "\\begin{verbatim}")
-                                  (SPADLET |verbatim| 'T)
-                                  (SPADLET |u2|
-                                           (APPEND |u2| (CONS |s| NIL))))
-                                 ((BOOT-EQUAL |s|
-                                      "\\end{verbatim}")
-                                  (SPADLET |verbatim| NIL)
-                                  (SPADLET |u2|
-                                           (APPEND |u2| (CONS |s| NIL))))
-                                 (|verbatim|
-                                     (SPADLET |u2|
-                                      (APPEND |u2|
-                                       (CONS
-                                        (SUBSTRING |x| |margin| NIL)
-                                        NIL))))
-                                 ((BOOT-EQUAL |margin| |k|)
-                                  (SPADLET |u2|
-                                           (APPEND |u2| (CONS |s| NIL))))
-                                 ('T
-                                  (SPADLET |u2|
-                                           (APPEND |u2|
-                                            (CONS
-                                             (STRCONC
-                                                                                             "\\indented{"
-                                              (STRINGIMAGE
-                                               (SPADDIFFERENCE |k|
-                                                |margin|))
-                                              "}{"
-                                              (|checkAddSpaceSegments|
-                                               |s| 0)
-                                              "}")
-                                             NIL)))))))))))
-             |u2|)))))
-
-;newString2Words l ==
-;  not STRINGP l => [l]
-;  m := MAXINDEX l
-;  m = -1 => NIL
-;  i := 0
-;  [w while newWordFrom(l,i,m) is [w,i]]
-
-(DEFUN |newString2Words| (|l|)
-  (PROG (|m| |ISTMP#1| |w| |ISTMP#2| |i|)
-    (RETURN
-      (SEQ (COND
-             ((NULL (STRINGP |l|)) (CONS |l| NIL))
-             ('T (SPADLET |m| (MAXINDEX |l|))
-              (COND
-                ((BOOT-EQUAL |m| (SPADDIFFERENCE 1)) NIL)
-                ('T (SPADLET |i| 0)
-                 (PROG (G167196)
-                   (SPADLET G167196 NIL)
-                   (RETURN
-                     (DO ()
-                         ((NULL (PROGN
-                                  (SPADLET |ISTMP#1|
-                                           (|newWordFrom| |l| |i| |m|))
-                                  (AND (PAIRP |ISTMP#1|)
-                                       (PROGN
-                                         (SPADLET |w| (QCAR |ISTMP#1|))
-                                         (SPADLET |ISTMP#2|
-                                          (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
-                                          (EQ (QCDR |ISTMP#2|) NIL)
-                                          (PROGN
-                                            (SPADLET |i|
-                                             (QCAR |ISTMP#2|))
-                                            'T))))))
-                          (NREVERSE0 G167196))
-                       (SEQ (EXIT (SETQ G167196 (CONS |w| G167196)))))))))))))))
-
-;newWordFrom(l,i,m) ==
-;  while i <= m and l.i = " " repeat i := i + 1
-;  i > m => NIL
-;  buf := '""
-;  ch := l.i
-;  ch = $charFauxNewline => [$stringFauxNewline, i+ 1]
-;  done := false
-;  while i <= m and not done repeat
-;    ch := l.i
-;    ch = $charBlank or ch = $charFauxNewline => done := true
-;    buf := STRCONC(buf,ch)
-;    i := i + 1
-;  [buf,i]
-
-(DEFUN |newWordFrom| (|l| |i| |m|)
-  (PROG (|ch| |done| |buf|)
-  (declare (special |$charFauxNewline| |$charBlank| |$stringFauxNewline|))
-    (RETURN
-      (SEQ (PROGN
-             (DO ()
-                 ((NULL (AND (<= |i| |m|)
-                             (BOOT-EQUAL (ELT |l| |i|) '| |)))
-                  NIL)
-               (SEQ (EXIT (SPADLET |i| (PLUS |i| 1)))))
-             (COND
-               ((> |i| |m|) NIL)
-               ('T (SPADLET |buf| "")
-                (SPADLET |ch| (ELT |l| |i|))
-                (COND
-                  ((BOOT-EQUAL |ch| |$charFauxNewline|)
-                   (CONS |$stringFauxNewline| (CONS (PLUS |i| 1) NIL)))
-                  ('T (SPADLET |done| NIL)
-                   (DO () ((NULL (AND (<= |i| |m|) (NULL |done|))) NIL)
-                     (SEQ (EXIT (PROGN
-                                  (SPADLET |ch| (ELT |l| |i|))
-                                  (COND
-                                    ((OR (BOOT-EQUAL |ch| |$charBlank|)
-                                      (BOOT-EQUAL |ch|
-                                       |$charFauxNewline|))
-                                     (SPADLET |done| 'T))
-                                    ('T
-                                     (SPADLET |buf|
-                                      (STRCONC |buf| |ch|))
-                                     (SPADLET |i| (PLUS |i| 1))))))))
-                   (CONS |buf| (CONS |i| NIL)))))))))))
-
-;checkAddPeriod s ==  --No, just leave blank at the end (rdj: 10/18/91)
-;  m := MAXINDEX s
-;  lastChar := s . m
-;  lastChar = char '_! or lastChar = char '_? or lastChar = char '_. => s
-;  lastChar = char '_, or lastChar = char '_; =>
-;    s . m := (char '_.)
-;    s
-;  s
-
-(DEFUN |checkAddPeriod| (|s|)
-  (PROG (|m| |lastChar|)
-    (RETURN
-      (PROGN
-        (SPADLET |m| (MAXINDEX |s|))
-        (SPADLET |lastChar| (ELT |s| |m|))
-        (COND
-          ((OR (BOOT-EQUAL |lastChar| (|char| '!))
-               (BOOT-EQUAL |lastChar| (|char| '?))
-               (BOOT-EQUAL |lastChar| (|char| (INTERN "." "BOOT"))))
-           |s|)
-          ((OR (BOOT-EQUAL |lastChar| (|char| '|,|))
-               (BOOT-EQUAL |lastChar| (|char| '|;|)))
-           (SETELT |s| |m| (|char| (INTERN "." "BOOT"))) |s|)
-          ('T |s|))))))
-
-;checkGetArgs u ==
-;  NOT STRINGP u => nil
-;  m := MAXINDEX u
-;  k := firstNonBlankPosition(u)
-;  k > 0 => checkGetArgs SUBSTRING(u,k,nil)
-;  stringPrefix?('"\spad{",u) =>
-;    k := getMatchingRightPren(u,6,char '_{,char '_}) or m
-;    checkGetArgs SUBSTRING(u,6,k-6)
-;  (i := charPosition(char '_(,u,0)) > m => nil
-;  (u . m) ^= char '_) => nil
-;  while (k := charPosition($charComma,u,i + 1)) < m repeat
-;    acc := [trimString SUBSTRING(u,i + 1,k - i - 1),:acc]
-;    i := k
-;  NREVERSE [SUBSTRING(u,i + 1,m - i - 1),:acc]
-
-(DEFUN |checkGetArgs| (|u|)
-  (PROG (|m| |k| |acc| |i|)
-  (declare (special |$charComma|))
-    (RETURN
-      (SEQ (COND
-             ((NULL (STRINGP |u|)) NIL)
-             ('T (SPADLET |m| (MAXINDEX |u|))
-              (SPADLET |k| (|firstNonBlankPosition| |u|))
-              (COND
-                ((> |k| 0) (|checkGetArgs| (SUBSTRING |u| |k| NIL)))
-                ((|stringPrefix?| "\\spad{" |u|)
-                 (SPADLET |k|
-                          (OR (|getMatchingRightPren| |u| 6 (|char| '{)
-                                  (|char| '}))
-                              |m|))
-                 (|checkGetArgs|
-                     (SUBSTRING |u| 6 (SPADDIFFERENCE |k| 6))))
-                ((> (SPADLET |i| (|charPosition| (|char| '|(|) |u| 0))
-                    |m|)
-                 NIL)
-                ((NEQUAL (ELT |u| |m|) (|char| '|)|)) NIL)
-                ('T
-                 (DO ()
-                     ((NULL (> |m|
-                               (SPADLET |k|
-                                        (|charPosition| |$charComma|
-                                         |u| (PLUS |i| 1)))))
-                      NIL)
-                   (SEQ (EXIT (PROGN
-                                (SPADLET |acc|
-                                         (CONS
-                                          (|trimString|
-                                           (SUBSTRING |u| (PLUS |i| 1)
-                                            (SPADDIFFERENCE
-                                             (SPADDIFFERENCE |k| |i|)
-                                             1)))
-                                          |acc|))
-                                (SPADLET |i| |k|)))))
-                 (NREVERSE
-                     (CONS (SUBSTRING |u| (PLUS |i| 1)
-                               (SPADDIFFERENCE (SPADDIFFERENCE |m| |i|)
-                                   1))
-                           |acc|))))))))))
-
-;checkGetMargin lines ==
-;  while lines repeat
-;    do
-;      x := first lines
-;      k := firstNonBlankPosition x
-;      k = -1 => nil
-;      margin := (margin => MIN(margin,k); k)
-;    lines := rest lines
-;  margin or 0
-
-(DEFUN |checkGetMargin| (|lines|)
-  (PROG (|x| |k| |margin|)
-    (RETURN
-      (SEQ (PROGN
-             (DO () ((NULL |lines|) NIL)
-               (SEQ (EXIT (PROGN
-                            (|do| (PROGN
-                                    (SPADLET |x| (CAR |lines|))
-                                    (SPADLET |k|
-                                     (|firstNonBlankPosition| |x|))
-                                    (COND
-                                      ((BOOT-EQUAL |k|
-                                        (SPADDIFFERENCE 1))
-                                       NIL)
-                                      ('T
-                                       (SPADLET |margin|
-                                        (COND
-                                          (|margin| (MIN |margin| |k|))
-                                          ('T |k|)))))))
-                            (SPADLET |lines| (CDR |lines|))))))
-             (OR |margin| 0))))))
-
-;firstNonBlankPosition(x,:options) ==
-;  start := IFCAR options or 0
-;  k := -1
-;  for i in start..MAXINDEX x repeat
-;    if x.i ^= $charBlank then return (k := i)
-;  k
-
-(DEFUN |firstNonBlankPosition| (&REST G167305 &AUX |options| |x|)
-  (DSETQ (|x| . |options|) G167305)
-  (PROG (|start| |k|)
-  (declare (special |$charBlank|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |start| (OR (IFCAR |options|) 0))
-             (SPADLET |k| (SPADDIFFERENCE 1))
-             (DO ((G167295 (MAXINDEX |x|)) (|i| |start| (+ |i| 1)))
-                 ((> |i| G167295) NIL)
-               (SEQ (EXIT (COND
-                            ((NEQUAL (ELT |x| |i|) |$charBlank|)
-                             (RETURN (SPADLET |k| |i|)))
-                            ('T NIL)))))
-             |k|)))))
-
-;checkAddIndented(x,margin) ==
-;  k := firstNonBlankPosition x
-;  k = -1 => '"\blankline "
-;  margin = k => x
-;  STRCONC('"\indented{",STRINGIMAGE(k-margin),'"}{",checkAddSpaceSegments(SUBSTRING(x,k,nil),0),'"}")
-
-(DEFUN |checkAddIndented| (|x| |margin|)
-  (PROG (|k|)
-    (RETURN
-      (PROGN
-        (SPADLET |k| (|firstNonBlankPosition| |x|))
-        (COND
-          ((BOOT-EQUAL |k| (SPADDIFFERENCE 1))
-           "\\blankline ")
-          ((BOOT-EQUAL |margin| |k|) |x|)
-          ('T
-           (STRCONC "\\indented{"
-                    (STRINGIMAGE (SPADDIFFERENCE |k| |margin|))
-                    "}{"
-                    (|checkAddSpaceSegments| (SUBSTRING |x| |k| NIL) 0)
-                    "}")))))))
-
-;checkAddSpaceSegments(u,k) ==
-;  m := MAXINDEX u
-;  i := charPosition($charBlank,u,k)
-;  m < i => u
-;  j := i
-;  while (j := j + 1) < m and u.j = (char '_  ) repeat 'continue
-;  n := j - i   --number of blanks
-;  n > 1 => STRCONC(SUBSTRING(u,0,i),'"\space{",
-;             STRINGIMAGE n,'"}",checkAddSpaceSegments(SUBSTRING(u,i + n,nil),0))
-;  checkAddSpaceSegments(u,j)
-
-(DEFUN |checkAddSpaceSegments| (|u| |k|)
-  (PROG (|m| |i| |j| |n|)
-  (declare (special |$charBlank|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |m| (MAXINDEX |u|))
-             (SPADLET |i| (|charPosition| |$charBlank| |u| |k|))
-             (COND
-               ((> |i| |m|) |u|)
-               ('T (SPADLET |j| |i|)
-                (DO ()
-                    ((NULL (AND (> |m| (SPADLET |j| (PLUS |j| 1)))
-                                (BOOT-EQUAL (ELT |u| |j|)
-                                    (|char| '| |))))
-                     NIL)
-                  (SEQ (EXIT '|continue|)))
-                (SPADLET |n| (SPADDIFFERENCE |j| |i|))
-                (COND
-                  ((> |n| 1)
-                   (STRCONC (SUBSTRING |u| 0 |i|)
-                            "\\space{" (STRINGIMAGE |n|)
-                            "}"
-                            (|checkAddSpaceSegments|
-                                (SUBSTRING |u| (PLUS |i| |n|) NIL) 0)))
-                  ('T (|checkAddSpaceSegments| |u| |j|))))))))))
-
-;checkTrim($x,lines) == main where
-;  main ==
-;    s := [wherePP first lines]
-;    for x in rest lines repeat
-;      j := wherePP x
-;      if not MEMQ(j,s) then
-;        checkDocError [$x,'" has varying indentation levels"]
-;        s := [j,:s]
-;    [trim y for y in lines]
-;  wherePP(u) ==
-;    k := charPosition($charPlus,u,0)
-;    k = #u or charPosition($charPlus,u,k + 1) ^= k + 1 =>
-;      systemError '" Improper comment found"
-;    k
-;  trim(s) ==
-;    k := wherePP(s)
-;    return SUBSTRING(s,k + 2,nil)
-;    m := MAXINDEX s
-;    n := k + 2
-;    for j in (k + 2)..m while s.j = $charBlank repeat (n := n + 1)
-;    SUBSTRING(s,n,nil)
-
-(DEFUN |checkTrim,trim| (|s|)
-  (PROG (|k| |m| |n|)
-  (declare (special |$charBlank|))
-    (RETURN
-      (SEQ (SPADLET |k| (|checkTrim,wherePP| |s|))
-           (RETURN (SUBSTRING |s| (PLUS |k| 2) NIL))
-           (SPADLET |m| (MAXINDEX |s|)) (SPADLET |n| (PLUS |k| 2))
-           (DO ((|j| (PLUS |k| 2) (+ |j| 1)))
-               ((OR (> |j| |m|)
-                    (NULL (BOOT-EQUAL (ELT |s| |j|) |$charBlank|)))
-                NIL)
-             (SEQ (EXIT (SPADLET |n| (PLUS |n| 1)))))
-           (EXIT (SUBSTRING |s| |n| NIL))))))
-
-(DEFUN |checkTrim,wherePP| (|u|)
-  (PROG (|k|)
-  (declare (special |$charPlus|))
-    (RETURN
-      (SEQ (SPADLET |k| (|charPosition| |$charPlus| |u| 0))
-           (IF (OR (BOOT-EQUAL |k| (|#| |u|))
-                   (NEQUAL (|charPosition| |$charPlus| |u|
-                               (PLUS |k| 1))
-                           (PLUS |k| 1)))
-               (EXIT (|systemError|
-                         " Improper comment found")))
-           (EXIT |k|)))))
-
-(DEFUN |checkTrim| (|$x| |lines|)
-  (DECLARE (SPECIAL |$x|))
-  (PROG (|j| |s|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |s|
-                      (CONS (|checkTrim,wherePP| (CAR |lines|)) NIL))
-             (DO ((G167356 (CDR |lines|) (CDR G167356)) (|x| NIL))
-                 ((OR (ATOM G167356)
-                      (PROGN (SETQ |x| (CAR G167356)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |j| (|checkTrim,wherePP| |x|))
-                            (COND
-                              ((NULL (member |j| |s|))
-                               (|checkDocError|
-                                   (CONS |$x|
-                                    (CONS
-                                                                           " has varying indentation levels"
-                                     NIL)))
-                               (SPADLET |s| (CONS |j| |s|)))
-                              ('T NIL))))))
-             (PROG (G167366)
-               (SPADLET G167366 NIL)
-               (RETURN
-                 (DO ((G167371 |lines| (CDR G167371)) (|y| NIL))
-                     ((OR (ATOM G167371)
-                          (PROGN (SETQ |y| (CAR G167371)) NIL))
-                      (NREVERSE0 G167366))
-                   (SEQ (EXIT (SETQ G167366
-                                    (CONS (|checkTrim,trim| |y|)
-                                     G167366))))))))))))
-
-;checkExtract(header,lines) ==
-;  while lines repeat
-;    line := first lines
-;    k := firstNonBlankPosition line           --k gives margin of Description:
-;    substring?(header,line,k) => return nil
-;    lines := rest lines
-;  null lines => nil
-;  u := first lines
-;  j := charPosition(char '_:,u,k)
-;  margin := k
-;  firstLines :=
-;    (k := firstNonBlankPosition(u,j + 1)) ^= -1 =>
-;      [SUBSTRING(u,j + 1,nil),:rest lines]
-;    rest lines
-;  --now look for another header; if found skip all rest of these lines
-;  acc := nil
-;  for line in firstLines repeat
-;    do
-;      m := #line
-;      (k := firstNonBlankPosition line) = -1     => 'skip  --include if blank
-;      k > margin                                 => 'skip  --include if idented
-;      not UPPER_-CASE_-P line.k                  => 'skip  --also if not upcased
-;      (j := charPosition(char '_:,line,k)) = m   => 'skip  --or if not colon, or
-;      (i := charPosition(char '_ ,line,k+1)) < j => 'skip  --blank before colon
-;      return nil
-;    acc := [line,:acc]
-;  NREVERSE acc
-
-(DEFUN |checkExtract| (|header| |lines|)
-  (PROG (|line| |u| |margin| |firstLines| |m| |k| |j| |i| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (DO () ((NULL |lines|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |line| (CAR |lines|))
-                            (SPADLET |k|
-                                     (|firstNonBlankPosition| |line|))
-                            (COND
-                              ((|substring?| |header| |line| |k|)
-                               (RETURN NIL))
-                              ('T (SPADLET |lines| (CDR |lines|))))))))
-             (COND
-               ((NULL |lines|) NIL)
-               ('T (SPADLET |u| (CAR |lines|))
-                (SPADLET |j| (|charPosition| (|char| '|:|) |u| |k|))
-                (SPADLET |margin| |k|)
-                (SPADLET |firstLines|
-                         (COND
-                           ((NEQUAL (SPADLET |k|
-                                     (|firstNonBlankPosition| |u|
-                                      (PLUS |j| 1)))
-                                    (SPADDIFFERENCE 1))
-                            (CONS (SUBSTRING |u| (PLUS |j| 1) NIL)
-                                  (CDR |lines|)))
-                           ('T (CDR |lines|))))
-                (SPADLET |acc| NIL)
-                (DO ((G167406 |firstLines| (CDR G167406))
-                     (|line| NIL))
-                    ((OR (ATOM G167406)
-                         (PROGN (SETQ |line| (CAR G167406)) NIL))
-                     NIL)
-                  (SEQ (EXIT (PROGN
-                               (|do| (PROGN
-                                       (SPADLET |m| (|#| |line|))
-                                       (COND
-                                         ((BOOT-EQUAL
-                                           (SPADLET |k|
-                                            (|firstNonBlankPosition|
-                                             |line|))
-                                           (SPADDIFFERENCE 1))
-                                          '|skip|)
-                                         ((> |k| |margin|) '|skip|)
-                                         ((NULL
-                                           (UPPER-CASE-P
-                                            (ELT |line| |k|)))
-                                          '|skip|)
-                                         ((BOOT-EQUAL
-                                           (SPADLET |j|
-                                            (|charPosition|
-                                             (|char| '|:|) |line| |k|))
-                                           |m|)
-                                          '|skip|)
-                                         ((> |j|
-                                           (SPADLET |i|
-                                            (|charPosition|
-                                             (|char| '| |) |line|
-                                             (PLUS |k| 1))))
-                                          '|skip|)
-                                         ('T (RETURN NIL)))))
-                               (SPADLET |acc| (CONS |line| |acc|))))))
-                (NREVERSE |acc|))))))))
-
-;checkFixCommonProblem u ==
-;  acc := nil
-;  while u repeat
-;    x := first u
-;    x = $charLbrace and MEMBER(next := IFCAR rest u,$HTspadmacros) and
-;                       (IFCAR IFCDR rest u ^= $charLbrace) =>
-;      checkDocError ['"Reversing ",next,'" and left brace"]
-;      acc := [$charLbrace,next,:acc]  --reverse order of brace and command
-;      u := rest rest u
-;    acc := [x,:acc]
-;    u := rest u
-;  NREVERSE acc
-
-(DEFUN |checkFixCommonProblem| (|u|)
-  (PROG (|x| |next| |acc|)
-  (declare (special |$charLbrace| |$HTspadmacros|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (COND
-                              ((AND (BOOT-EQUAL |x| |$charLbrace|)
-                                    (|member|
-                                     (SPADLET |next| (IFCAR (CDR |u|)))
-                                     |$HTspadmacros|)
-                                    (NEQUAL (IFCAR (IFCDR (CDR |u|)))
-                                     |$charLbrace|))
-                               (|checkDocError|
-                                   (CONS "Reversing "
-                                    (CONS |next|
-                                     (CONS
-                                      " and left brace"
-                                      NIL))))
-                               (SPADLET |acc|
-                                        (CONS |$charLbrace|
-                                         (CONS |next| |acc|)))
-                               (SPADLET |u| (CDR (CDR |u|))))
-                              ('T (SPADLET |acc| (CONS |x| |acc|))
-                               (SPADLET |u| (CDR |u|))))))))
-             (NREVERSE |acc|))))))
-
-;checkDecorate u ==
-;  count := 0
-;  spadflag := false    --means OK to wrap single letter words with \s{}
-;  mathSymbolsOk := false
-;  acc := nil
-;  verbatim := false
-;  while u repeat
-;    x := first u
-;    if not verbatim then
-;      if x = '"\em" then
-;        if count > 0 then
-;          mathSymbolsOk := count - 1
-;          spadflag := count - 1
-;        else checkDocError ['"\em must be enclosed in braces"]
-;      if MEMBER(x,'("\spadpaste" "\spad" "\spadop")) then mathSymbolsOk := count
-;      if MEMBER(x,'("\s" "\spadtype" "\spadsys" "\example" "\andexample" "\spadop" "\spad" "\spadignore" "\spadpaste" "\spadcommand" "\footnote")) then spadflag := count
-;      else if x = $charLbrace then
-;        count := count + 1
-;      else if x = $charRbrace then
-;        count := count - 1
-;        if mathSymbolsOk = count then mathSymbolsOk := false
-;        if spadflag = count then spadflag := false
-;      else if not mathSymbolsOk and MEMBER(x,'("+" "*" "=" "==" "->")) then
-;        if $checkingXmptex? then
-;          checkDocError ["Symbol ",x,'" appearing outside \spad{}"]
-;    acc :=
-;      x = '"\end{verbatim}" =>
-;        verbatim := false
-;        [x, :acc]
-;      verbatim => [x, :acc]
-;      x = '"\begin{verbatim}" =>
-;        verbatim := true
-;        [x, :acc]
-;      x = '"\begin" and first (v := IFCDR u) = $charLbrace and
-;        first (v := IFCDR v) = '"detail" and first (v := IFCDR v) = $charRbrace
-;          =>
-;            u := v
-;            ['"\blankline ",:acc]
-;      x = '"\end" and first (v := IFCDR u) = $charLbrace and
-;        first (v := IFCDR v) = '"detail" and first (v := IFCDR v) = $charRbrace
-;          =>
-;            u := v
-;            acc
-;      x = char '_$ or x = '"$"  => ['"\$",:acc]
-;      x = char '_% or x = '"%"  => ['"\%",:acc]
-;      x = char '_, or x = '","  => ['",{}",:acc]
-;      x = '"\spad" => ['"\spad",:acc]
-;      STRINGP x and DIGITP x.0 => [x,:acc]
-;      null spadflag and
-;        (CHARP x and ALPHA_-CHAR_-P x and not MEMQ(x,$charExclusions) or
-;          MEMBER(x,$argl)) => [$charRbrace,x,$charLbrace,'"\spad",:acc]
-;      null spadflag and ((STRINGP x and not x.0 = $charBack and DIGITP(x.(MAXINDEX x))) or MEMBER(x,'("true" "false"))) =>
-;        [$charRbrace,x,$charLbrace,'"\spad",:acc]  --wrap x1, alpha3, etc
-;      xcount := #x
-;      xcount = 3 and x.1 = char 't and x.2 = char 'h =>
-;        ['"th",$charRbrace,x.0,$charLbrace,'"\spad",:acc]
-;      xcount = 4 and x.1 = char '_- and x.2 = char 't and x.3 = char 'h =>
-;        ['"-th",$charRbrace,x.0,$charLbrace,'"\spad",:acc]
-;      xcount = 2 and x.1 = char 'i or              --wrap ei, xi, hi
-;        null spadflag and xcount > 0 and xcount < 4 and not MEMBER(x,'("th" "rd" "st")) and
-;          hasNoVowels x =>                         --wrap words with no vowels
-;            [$charRbrace,x,$charLbrace,'"\spad",:acc]
-;      [checkAddBackSlashes x,:acc]
-;    u := rest u
-;  NREVERSE acc
-
-(DEFUN |checkDecorate| (|u|)
-  (PROG (|x| |count| |mathSymbolsOk| |spadflag| |verbatim| |v| |xcount| |acc|)
-  (declare (special |$charLbrace| |$charRbrace| |$charBack| |$argl|
-                    |$charExclusions| |$checkingXmptex?|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |count| 0)
-             (SPADLET |spadflag| NIL)
-             (SPADLET |mathSymbolsOk| NIL)
-             (SPADLET |acc| NIL)
-             (SPADLET |verbatim| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (COND
-                              ((NULL |verbatim|)
-                               (COND
-                                 ((BOOT-EQUAL |x| "\\em")
-                                  (COND
-                                    ((> |count| 0)
-                                     (SPADLET |mathSymbolsOk|
-                                      (SPADDIFFERENCE |count| 1))
-                                     (SPADLET |spadflag|
-                                      (SPADDIFFERENCE |count| 1)))
-                                    ('T
-                                     (|checkDocError|
-                                      (CONS
-                                                                               "\\em must be enclosed in braces"
-                                       NIL))))))
-                               (COND
-                                 ((|member| |x|
-                                      '("\\spadpaste" "\\spad"
-                                        "\\spadop"))
-                                  (SPADLET |mathSymbolsOk| |count|)))
-                               (COND
-                                 ((|member| |x|
-                                      '("\\s" "\\spadtype" "\\spadsys"
-                                        "\\example" "\\andexample"
-                                        "\\spadop" "\\spad"
-                                        "\\spadignore" "\\spadpaste"
-                                        "\\spadcommand" "\\footnote"))
-                                  (SPADLET |spadflag| |count|))
-                                 ((BOOT-EQUAL |x| |$charLbrace|)
-                                  (SPADLET |count| (PLUS |count| 1)))
-                                 ((BOOT-EQUAL |x| |$charRbrace|)
-                                  (SPADLET |count|
-                                           (SPADDIFFERENCE |count| 1))
-                                  (COND
-                                    ((BOOT-EQUAL |mathSymbolsOk|
-                                      |count|)
-                                     (SPADLET |mathSymbolsOk| NIL)))
-                                  (COND
-                                    ((BOOT-EQUAL |spadflag| |count|)
-                                     (SPADLET |spadflag| NIL))
-                                    ('T NIL)))
-                                 ((AND (NULL |mathSymbolsOk|)
-                                       (|member| |x|
-                                        '("+" "*" "=" "==" "->")))
-                                  (COND
-                                    (|$checkingXmptex?|
-                                     (|checkDocError|
-                                      (CONS '|Symbol |
-                                       (CONS |x|
-                                        (CONS
-                                                                                   " appearing outside \\spad{}"
-                                         NIL)))))
-                                    ('T NIL)))
-                                 ('T NIL))))
-                            (SPADLET |acc|
-                                     (COND
-                                       ((BOOT-EQUAL |x|
-                                         "\\end{verbatim}")
-                                        (SPADLET |verbatim| NIL)
-                                        (CONS |x| |acc|))
-                                       (|verbatim| (CONS |x| |acc|))
-                                       ((BOOT-EQUAL |x|
-                                                                                   "\\begin{verbatim}")
-                                        (SPADLET |verbatim| 'T)
-                                        (CONS |x| |acc|))
-                                       ((AND
-                                         (BOOT-EQUAL |x|
-                                          "\\begin")
-                                         (BOOT-EQUAL
-                                          (CAR
-                                           (SPADLET |v| (IFCDR |u|)))
-                                          |$charLbrace|)
-                                         (BOOT-EQUAL
-                                          (CAR
-                                           (SPADLET |v| (IFCDR |v|)))
-                                          "detail")
-                                         (BOOT-EQUAL
-                                          (CAR
-                                           (SPADLET |v| (IFCDR |v|)))
-                                          |$charRbrace|))
-                                        (SPADLET |u| |v|)
-                                        (CONS
-                                         "\\blankline "
-                                         |acc|))
-                                       ((AND
-                                         (BOOT-EQUAL |x|
-                                          "\\end")
-                                         (BOOT-EQUAL
-                                          (CAR
-                                           (SPADLET |v| (IFCDR |u|)))
-                                          |$charLbrace|)
-                                         (BOOT-EQUAL
-                                          (CAR
-                                           (SPADLET |v| (IFCDR |v|)))
-                                          "detail")
-                                         (BOOT-EQUAL
-                                          (CAR
-                                           (SPADLET |v| (IFCDR |v|)))
-                                          |$charRbrace|))
-                                        (SPADLET |u| |v|) |acc|)
-                                       ((OR
-                                         (BOOT-EQUAL |x| (|char| '$))
-                                         (BOOT-EQUAL |x|
-                                          "$"))
-                                        (CONS "\\$" |acc|))
-                                       ((OR
-                                         (BOOT-EQUAL |x| (|char| '%))
-                                         (BOOT-EQUAL |x|
-                                          "%"))
-                                        (CONS "\\%" |acc|))
-                                       ((OR
-                                         (BOOT-EQUAL |x| (|char| '|,|))
-                                         (BOOT-EQUAL |x|
-                                          ","))
-                                        (CONS ",{}" |acc|))
-                                       ((BOOT-EQUAL |x|
-                                         "\\spad")
-                                        (CONS "\\spad"
-                                         |acc|))
-                                       ((AND (STRINGP |x|)
-                                         (DIGITP (ELT |x| 0)))
-                                        (CONS |x| |acc|))
-                                       ((AND (NULL |spadflag|)
-                                         (OR
-                                          (AND (CHARP |x|)
-                                           (ALPHA-CHAR-P |x|)
-                                           (NULL
-                                            (member |x|
-                                             |$charExclusions|)))
-                                          (|member| |x| |$argl|)))
-                                        (CONS |$charRbrace|
-                                         (CONS |x|
-                                          (CONS |$charLbrace|
-                                           (CONS "\\spad"
-                                            |acc|)))))
-                                       ((AND (NULL |spadflag|)
-                                         (OR
-                                          (AND (STRINGP |x|)
-                                           (NULL
-                                            (BOOT-EQUAL (ELT |x| 0)
-                                             |$charBack|))
-                                           (DIGITP
-                                            (ELT |x| (MAXINDEX |x|))))
-                                          (|member| |x|
-                                           '("true" "false"))))
-                                        (CONS |$charRbrace|
-                                         (CONS |x|
-                                          (CONS |$charLbrace|
-                                           (CONS "\\spad"
-                                            |acc|)))))
-                                       ('T (SPADLET |xcount| (|#| |x|))
-                                        (COND
-                                          ((AND (EQL |xcount| 3)
-                                            (BOOT-EQUAL (ELT |x| 1)
-                                             (|char| '|t|))
-                                            (BOOT-EQUAL (ELT |x| 2)
-                                             (|char| '|h|)))
-                                           (CONS "th"
-                                            (CONS |$charRbrace|
-                                             (CONS (ELT |x| 0)
-                                              (CONS |$charLbrace|
-                                               (CONS
-                                                "\\spad"
-                                                |acc|))))))
-                                          ((AND (EQL |xcount| 4)
-                                            (BOOT-EQUAL (ELT |x| 1)
-                                             (|char| '-))
-                                            (BOOT-EQUAL (ELT |x| 2)
-                                             (|char| '|t|))
-                                            (BOOT-EQUAL (ELT |x| 3)
-                                             (|char| '|h|)))
-                                           (CONS "-th"
-                                            (CONS |$charRbrace|
-                                             (CONS (ELT |x| 0)
-                                              (CONS |$charLbrace|
-                                               (CONS
-                                                "\\spad"
-                                                |acc|))))))
-                                          ((OR
-                                            (AND (EQL |xcount| 2)
-                                             (BOOT-EQUAL (ELT |x| 1)
-                                              (|char| '|i|)))
-                                            (AND (NULL |spadflag|)
-                                             (> |xcount| 0)
-                                             (> 4 |xcount|)
-                                             (NULL
-                                              (|member| |x|
-                                               '("th" "rd" "st")))
-                                             (|hasNoVowels| |x|)))
-                                           (CONS |$charRbrace|
-                                            (CONS |x|
-                                             (CONS |$charLbrace|
-                                              (CONS
-                                               "\\spad"
-                                               |acc|)))))
-                                          ('T
-                                           (CONS
-                                            (|checkAddBackSlashes| |x|)
-                                            |acc|))))))
-                            (SPADLET |u| (CDR |u|))))))
-             (NREVERSE |acc|))))))
-
-;hasNoVowels x ==
-;  max := MAXINDEX x
-;  x.max = char 'y => false
-;  and/[not isVowel(x.i) for i in 0..max]
-
-(DEFUN |hasNoVowels| (|x|)
-  (PROG (|max|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |max| (MAXINDEX |x|))
-             (COND
-               ((BOOT-EQUAL (ELT |x| |max|) (|char| '|y|)) NIL)
-               ('T
-                (PROG (G167501)
-                  (SPADLET G167501 'T)
-                  (RETURN
-                    (DO ((G167507 NIL (NULL G167501))
-                         (|i| 0 (QSADD1 |i|)))
-                        ((OR G167507 (QSGREATERP |i| |max|))
-                         G167501)
-                      (SEQ (EXIT (SETQ G167501
-                                       (AND G167501
-                                        (NULL
-                                         (|isVowel| (ELT |x| |i|)))))))))))))))))
-
-;isVowel c ==
-;  EQ(c,char 'a) or EQ(c,char 'e) or EQ(c,char 'i) or EQ(c,char 'o) or EQ(c,char 'u) or
-;    EQ(c,char 'A) or EQ(c,char 'E) or EQ(c,char 'I) or EQ(c,char 'O) or EQ(c,char 'U)
-
-(DEFUN |isVowel| (|c|)
-  (OR (EQ |c| (|char| '|a|)) (EQ |c| (|char| '|e|))
-      (EQ |c| (|char| '|i|)) (EQ |c| (|char| '|o|))
-      (EQ |c| (|char| '|u|)) (EQ |c| (|char| 'A)) (EQ |c| (|char| 'E))
-      (EQ |c| (|char| 'I)) (EQ |c| (|char| 'O)) (EQ |c| (|char| 'U))))
-
-;checkAddBackSlashes s ==
-;  (CHARP s and (c := s)) or (#s = 1 and (c := s.0)) =>
-;    MEMQ(s,$charEscapeList) => STRCONC($charBack,c)
-;    s
-;  k := 0
-;  m := MAXINDEX s
-;  insertIndex := nil
-;  while k <= m repeat
-;    do
-;      char := s.k
-;      char = $charBack => k := k + 2
-;      MEMQ(char,$charEscapeList) => return (insertIndex := k)
-;    k := k + 1
-;  insertIndex => checkAddBackSlashes STRCONC(SUBSTRING(s,0,insertIndex),$charBack,s.k,SUBSTRING(s,insertIndex + 1,nil))
-;  s
-
-(DEFUN |checkAddBackSlashes| (|s|)
-  (PROG (|c| |m| |char| |insertIndex| |k|)
-  (declare (special |$charBack| |$charEscapeList|))
-    (RETURN
-      (SEQ (COND
-             ((OR (AND (CHARP |s|) (SPADLET |c| |s|))
-                  (AND (EQL (|#| |s|) 1) (SPADLET |c| (ELT |s| 0))))
-              (COND
-                ((member |s| |$charEscapeList|)
-                 (STRCONC |$charBack| |c|))
-                ('T |s|)))
-             ('T (SPADLET |k| 0) (SPADLET |m| (MAXINDEX |s|))
-              (SPADLET |insertIndex| NIL)
-              (DO () ((NULL (<= |k| |m|)) NIL)
-                (SEQ (EXIT (PROGN
-                             (|do| (PROGN
-                                     (SPADLET |char| (ELT |s| |k|))
-                                     (COND
-                                       ((BOOT-EQUAL |char| |$charBack|)
-                                        (SPADLET |k| (PLUS |k| 2)))
-                                       ((member |char| |$charEscapeList|)
-                                        (RETURN
-                                          (SPADLET |insertIndex| |k|))))))
-                             (SPADLET |k| (PLUS |k| 1))))))
-              (COND
-                (|insertIndex|
-                    (|checkAddBackSlashes|
-                        (STRCONC (SUBSTRING |s| 0 |insertIndex|)
-                                 |$charBack| (ELT |s| |k|)
-                                 (SUBSTRING |s| (PLUS |insertIndex| 1)
-                                     NIL))))
-                ('T |s|))))))))
-
-;checkAddSpaces u ==
-;  null u => nil
-;  null rest u => u
-;  space := $charBlank
-;  u2 := nil
-;  for i in 1.. for f in u repeat
-;    -- want newlines before and after begin/end verbatim and between lines
-;    -- since this might be written to a file, we can't really use
-;    -- newline characters. The Browser and HD will do the translation
-;    -- later.
-;    if f = '"\begin{verbatim}" then
-;        space := $charFauxNewline
-;        if null u2 then u2 := [space]
-;    if i > 1 then u2 := [:u2, space, f]
-;    else u2 := [:u2, f]
-;    if f = '"\end{verbatim}" then
-;        u2 := [:u2, space]
-;        space := $charBlank
-;  u2
-
-(DEFUN |checkAddSpaces| (|u|)
-  (PROG (|u2| |space|)
-  (declare (special |$charBlank| |$charFauxNewline|))
-    (RETURN
-      (SEQ (COND
-             ((NULL |u|) NIL)
-             ((NULL (CDR |u|)) |u|)
-             ('T (SPADLET |space| |$charBlank|) (SPADLET |u2| NIL)
-              (DO ((|i| 1 (QSADD1 |i|)) (G167557 |u| (CDR G167557))
-                   (|f| NIL))
-                  ((OR (ATOM G167557)
-                       (PROGN (SETQ |f| (CAR G167557)) NIL))
-                   NIL)
-                (SEQ (EXIT (PROGN
-                             (COND
-                               ((BOOT-EQUAL |f|
-                                    "\\begin{verbatim}")
-                                (SPADLET |space| |$charFauxNewline|)
-                                (COND
-                                  ((NULL |u2|)
-                                   (SPADLET |u2| (CONS |space| NIL)))
-                                  ('T NIL))))
-                             (COND
-                               ((> |i| 1)
-                                (SPADLET |u2|
-                                         (APPEND |u2|
-                                          (CONS |space| (CONS |f| NIL)))))
-                               ('T
-                                (SPADLET |u2|
-                                         (APPEND |u2| (CONS |f| NIL)))))
-                             (COND
-                               ((BOOT-EQUAL |f|
-                                    "\\end{verbatim}")
-                                (SPADLET |u2|
-                                         (APPEND |u2|
-                                          (CONS |space| NIL)))
-                                (SPADLET |space| |$charBlank|))
-                               ('T NIL))))))
-              |u2|))))))
-
-;checkIeEg u ==
-;  acc := nil
-;  verbatim := false
-;  while u repeat
-;    x := first u
-;    acc :=
-;      x = '"\end{verbatim}" =>
-;        verbatim := false
-;        [x, :acc]
-;      verbatim => [x, :acc]
-;      x = '"\begin{verbatim}" =>
-;        verbatim := true
-;        [x, :acc]
-;      z := checkIeEgfun x => [:NREVERSE z,:acc]
-;      [x,:acc]
-;    u := rest u
-;  NREVERSE acc
-
-(DEFUN |checkIeEg| (|u|)
-  (PROG (|x| |verbatim| |z| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (SPADLET |verbatim| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (SPADLET |acc|
-                                     (COND
-                                       ((BOOT-EQUAL |x|
-                                         "\\end{verbatim}")
-                                        (SPADLET |verbatim| NIL)
-                                        (CONS |x| |acc|))
-                                       (|verbatim| (CONS |x| |acc|))
-                                       ((BOOT-EQUAL |x|
-                                                                                   "\\begin{verbatim}")
-                                        (SPADLET |verbatim| 'T)
-                                        (CONS |x| |acc|))
-                                       ((SPADLET |z|
-                                         (|checkIeEgfun| |x|))
-                                        (APPEND (NREVERSE |z|) |acc|))
-                                       ('T (CONS |x| |acc|))))
-                            (SPADLET |u| (CDR |u|))))))
-             (NREVERSE |acc|))))))
-
-;checkIeEgfun x ==
-;  CHARP x => nil
-;  x = '"" => nil
-;  m := MAXINDEX x
-;  for k in 0..(m - 3) repeat
-;    x.(k + 1) = $charPeriod and x.(k + 3) = $charPeriod and
-;     (x.k = char 'i and x.(k + 2) = char 'e and (key := '"that is")
-;       or x.k = char 'e and x.(k + 2) = char 'g and (key := '"for example")) =>
-;          firstPart := (k > 0 => [SUBSTRING(x,0,k)]; nil)
-;          result := [:firstPart,'"\spadignore{",SUBSTRING(x,k,4),'"}",
-;                     :checkIeEgfun SUBSTRING(x,k+4,nil)]
-;  result
-
-(DEFUN |checkIeEgfun| (|x|)
-  (PROG (|m| |key| |firstPart| |result|)
-  (declare (special |$charPeriod|))
-    (RETURN
-      (SEQ (COND
-             ((CHARP |x|) NIL)
-             ((BOOT-EQUAL |x| "") NIL)
-             ('T (SPADLET |m| (MAXINDEX |x|))
-              (SEQ (DO ((G167607 (SPADDIFFERENCE |m| 3))
-                        (|k| 0 (QSADD1 |k|)))
-                       ((QSGREATERP |k| G167607) NIL)
-                     (SEQ (EXIT (COND
-                                  ((AND
-                                    (BOOT-EQUAL (ELT |x| (PLUS |k| 1))
-                                     |$charPeriod|)
-                                    (BOOT-EQUAL (ELT |x| (PLUS |k| 3))
-                                     |$charPeriod|)
-                                    (OR
-                                     (AND
-                                      (BOOT-EQUAL (ELT |x| |k|)
-                                       (|char| '|i|))
-                                      (BOOT-EQUAL
-                                       (ELT |x| (PLUS |k| 2))
-                                       (|char| '|e|))
-                                      (SPADLET |key|
-                                       "that is"))
-                                     (AND
-                                      (BOOT-EQUAL (ELT |x| |k|)
-                                       (|char| '|e|))
-                                      (BOOT-EQUAL
-                                       (ELT |x| (PLUS |k| 2))
-                                       (|char| '|g|))
-                                      (SPADLET |key|
-                                       "for example"))))
-                                   (EXIT
-                                    (PROGN
-                                      (SPADLET |firstPart|
-                                       (COND
-                                         ((> |k| 0)
-                                          (CONS (SUBSTRING |x| 0 |k|)
-                                           NIL))
-                                         ('T NIL)))
-                                      (SPADLET |result|
-                                       (APPEND |firstPart|
-                                        (CONS
-                                         "\\spadignore{"
-                                         (CONS (SUBSTRING |x| |k| 4)
-                                          (CONS "}"
-                                           (|checkIeEgfun|
-                                            (SUBSTRING |x| (PLUS |k| 4)
-                                             NIL))))))))))))))
-                   (EXIT |result|))))))))
-
-;checkSplit2Words u ==
-;  acc := nil
-;  while u repeat
-;    x := first u
-;    acc :=
-;      x = '"\end{verbatim}" =>
-;        verbatim := false
-;        [x, :acc]
-;      verbatim => [x, :acc]
-;      x = '"\begin{verbatim}" =>
-;        verbatim := true
-;        [x, :acc]
-;      z := checkSplitBrace x => [:NREVERSE z,:acc]
-;      [x,:acc]
-;    u := rest u
-;  NREVERSE acc
-
-(DEFUN |checkSplit2Words| (|u|)
-  (PROG (|x| |verbatim| |z| |acc|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |acc| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (SPADLET |acc|
-                                     (COND
-                                       ((BOOT-EQUAL |x|
-                                         "\\end{verbatim}")
-                                        (SPADLET |verbatim| NIL)
-                                        (CONS |x| |acc|))
-                                       (|verbatim| (CONS |x| |acc|))
-                                       ((BOOT-EQUAL |x|
-                                                                                   "\\begin{verbatim}")
-                                        (SPADLET |verbatim| 'T)
-                                        (CONS |x| |acc|))
-                                       ((SPADLET |z|
-                                         (|checkSplitBrace| |x|))
-                                        (APPEND (NREVERSE |z|) |acc|))
-                                       ('T (CONS |x| |acc|))))
-                            (SPADLET |u| (CDR |u|))))))
-             (NREVERSE |acc|))))))
-
-;checkSplitBrace x ==
-;  CHARP x => [x]
-;  #x = 1 => [x.0]
-;  (u := checkSplitBackslash x)
-;     and rest u  => "append"/[checkSplitBrace y for y in u]
-;  m := MAXINDEX x
-;  (u := checkSplitOn x)
-;     and rest u  => "append"/[checkSplitBrace y for y in u]
-;  (u := checkSplitPunctuation x)
-;     and rest u  => "append"/[checkSplitBrace y for y in u]
-;  [x]
-
-(DEFUN |checkSplitBrace| (|x|)
-  (PROG (|m| |u|)
-    (RETURN
-      (SEQ (COND
-             ((CHARP |x|) (CONS |x| NIL))
-             ((EQL (|#| |x|) 1) (CONS (ELT |x| 0) NIL))
-             ((AND (SPADLET |u| (|checkSplitBackslash| |x|)) (CDR |u|))
-              (PROG (G167644)
-                (SPADLET G167644 NIL)
-                (RETURN
-                  (DO ((G167649 |u| (CDR G167649)) (|y| NIL))
-                      ((OR (ATOM G167649)
-                           (PROGN (SETQ |y| (CAR G167649)) NIL))
-                       G167644)
-                    (SEQ (EXIT (SETQ G167644
-                                     (APPEND G167644
-                                      (|checkSplitBrace| |y|)))))))))
-             ('T (SPADLET |m| (MAXINDEX |x|))
-              (COND
-                ((AND (SPADLET |u| (|checkSplitOn| |x|)) (CDR |u|))
-                 (PROG (G167655)
-                   (SPADLET G167655 NIL)
-                   (RETURN
-                     (DO ((G167660 |u| (CDR G167660)) (|y| NIL))
-                         ((OR (ATOM G167660)
-                              (PROGN (SETQ |y| (CAR G167660)) NIL))
-                          G167655)
-                       (SEQ (EXIT (SETQ G167655
-                                        (APPEND G167655
-                                         (|checkSplitBrace| |y|)))))))))
-                ((AND (SPADLET |u| (|checkSplitPunctuation| |x|))
-                      (CDR |u|))
-                 (PROG (G167666)
-                   (SPADLET G167666 NIL)
-                   (RETURN
-                     (DO ((G167671 |u| (CDR G167671)) (|y| NIL))
-                         ((OR (ATOM G167671)
-                              (PROGN (SETQ |y| (CAR G167671)) NIL))
-                          G167666)
-                       (SEQ (EXIT (SETQ G167666
-                                        (APPEND G167666
-                                         (|checkSplitBrace| |y|)))))))))
-                ('T (CONS |x| NIL)))))))))
-
-;checkSplitBackslash x ==
-;  not STRINGP x => [x]
-;  m := MAXINDEX x
-;  (k := charPosition($charBack,x,0)) < m =>
-;    m = 1 or ALPHA_-CHAR_-P(x . (k + 1)) =>     --starts with a backslash so..
-;      (k := charPosition($charBack,x,1)) < m => --..see if there is another
-;         [SUBSTRING(x,0,k),:checkSplitBackslash SUBSTRING(x,k,nil)]  -- yup
-;      [x]                                       --no, just return line
-;    k = 0 => --starts with backspace but x.1 is not a letter; break it up
-;      [SUBSTRING(x,0,2),:checkSplitBackslash SUBSTRING(x,2,nil)]
-;    u := SUBSTRING(x,0,k)
-;    v := SUBSTRING(x,k,2)
-;    k + 1 = m => [u,v]
-;    [u,v,:checkSplitBackslash SUBSTRING(x,k + 2,nil)]
-;  [x]
-
-(DEFUN |checkSplitBackslash| (|x|)
-  (PROG (|m| |k| |u| |v|)
-  (declare (special |$charBack|))
-    (RETURN
-      (COND
-        ((NULL (STRINGP |x|)) (CONS |x| NIL))
-        ('T (SPADLET |m| (MAXINDEX |x|))
-         (COND
-           ((> |m| (SPADLET |k| (|charPosition| |$charBack| |x| 0)))
-            (COND
-              ((OR (EQL |m| 1) (ALPHA-CHAR-P (ELT |x| (PLUS |k| 1))))
-               (COND
-                 ((> |m|
-                     (SPADLET |k| (|charPosition| |$charBack| |x| 1)))
-                  (CONS (SUBSTRING |x| 0 |k|)
-                        (|checkSplitBackslash| (SUBSTRING |x| |k| NIL))))
-                 ('T (CONS |x| NIL))))
-              ((EQL |k| 0)
-               (CONS (SUBSTRING |x| 0 2)
-                     (|checkSplitBackslash| (SUBSTRING |x| 2 NIL))))
-              ('T (SPADLET |u| (SUBSTRING |x| 0 |k|))
-               (SPADLET |v| (SUBSTRING |x| |k| 2))
-               (COND
-                 ((BOOT-EQUAL (PLUS |k| 1) |m|)
-                  (CONS |u| (CONS |v| NIL)))
-                 ('T
-                  (CONS |u|
-                        (CONS |v|
-                              (|checkSplitBackslash|
-                                  (SUBSTRING |x| (PLUS |k| 2) NIL)))))))))
-           ('T (CONS |x| NIL))))))))
-
-;checkSplitPunctuation x ==
-;  CHARP x => [x]
-;  m := MAXINDEX x
-;  m < 1 => [x]
-;  lastchar := x.m
-;  lastchar = $charPeriod and x.(m - 1) = $charPeriod =>
-;    m = 1 => [x]
-;    m > 3 and x.(m-2) = $charPeriod =>
-;      [:checkSplitPunctuation SUBSTRING(x,0,m-2),'"..."]
-;    [:checkSplitPunctuation SUBSTRING(x,0,m-1),'".."]
-;  lastchar = $charPeriod or lastchar = $charSemiColon or lastchar = $charComma
-;    => [SUBSTRING(x,0,m),lastchar]
-;  m > 1 and x.(m - 1) = $charQuote => [SUBSTRING(x,0,m - 1),SUBSTRING(x,m-1,nil)]
-;  (k := charPosition($charBack,x,0)) < m =>
-;    k = 0 =>
-;      m = 1 or HGET($htMacroTable,x) or ALPHA_-CHAR_-P x.1 => [x]
-;      v := SUBSTRING(x,2,nil)
-;      [SUBSTRING(x,0,2),:checkSplitPunctuation v]
-;    u := SUBSTRING(x,0,k)
-;    v := SUBSTRING(x,k,nil)
-;    [:checkSplitPunctuation u,:checkSplitPunctuation v]
-;  (k := charPosition($charDash,x,1)) < m =>
-;    u := SUBSTRING(x,k + 1,nil)
-;    [SUBSTRING(x,0,k),$charDash,:checkSplitPunctuation u]
-;  [x]
-
-(DEFUN |checkSplitPunctuation| (|x|)
-  (PROG (|m| |lastchar| |v| |k| |u|)
-  (declare (special |$charDash| |$htMacroTable| |$charBack| |$charQuote|
-                    |$charComma| |$charSemiColon| |$charPeriod|
-                    |$charPeriod|))
-    (RETURN
-      (COND
-        ((CHARP |x|) (CONS |x| NIL))
-        ('T (SPADLET |m| (MAXINDEX |x|))
-         (COND
-           ((> 1 |m|) (CONS |x| NIL))
-           ('T (SPADLET |lastchar| (ELT |x| |m|))
-            (COND
-              ((AND (BOOT-EQUAL |lastchar| |$charPeriod|)
-                    (BOOT-EQUAL (ELT |x| (SPADDIFFERENCE |m| 1))
-                        |$charPeriod|))
-               (COND
-                 ((EQL |m| 1) (CONS |x| NIL))
-                 ((AND (> |m| 3)
-                       (BOOT-EQUAL (ELT |x| (SPADDIFFERENCE |m| 2))
-                           |$charPeriod|))
-                  (APPEND (|checkSplitPunctuation|
-                              (SUBSTRING |x| 0 (SPADDIFFERENCE |m| 2)))
-                          (CONS "..." NIL)))
-                 ('T
-                  (APPEND (|checkSplitPunctuation|
-                              (SUBSTRING |x| 0 (SPADDIFFERENCE |m| 1)))
-                          (CONS ".." NIL)))))
-              ((OR (BOOT-EQUAL |lastchar| |$charPeriod|)
-                   (BOOT-EQUAL |lastchar| |$charSemiColon|)
-                   (BOOT-EQUAL |lastchar| |$charComma|))
-               (CONS (SUBSTRING |x| 0 |m|) (CONS |lastchar| NIL)))
-              ((AND (> |m| 1)
-                    (BOOT-EQUAL (ELT |x| (SPADDIFFERENCE |m| 1))
-                        |$charQuote|))
-               (CONS (SUBSTRING |x| 0 (SPADDIFFERENCE |m| 1))
-                     (CONS (SUBSTRING |x| (SPADDIFFERENCE |m| 1) NIL)
-                           NIL)))
-              ((> |m| (SPADLET |k| (|charPosition| |$charBack| |x| 0)))
-               (COND
-                 ((EQL |k| 0)
-                  (COND
-                    ((OR (EQL |m| 1) (HGET |$htMacroTable| |x|)
-                         (ALPHA-CHAR-P (ELT |x| 1)))
-                     (CONS |x| NIL))
-                    ('T (SPADLET |v| (SUBSTRING |x| 2 NIL))
-                     (CONS (SUBSTRING |x| 0 2)
-                           (|checkSplitPunctuation| |v|)))))
-                 ('T (SPADLET |u| (SUBSTRING |x| 0 |k|))
-                  (SPADLET |v| (SUBSTRING |x| |k| NIL))
-                  (APPEND (|checkSplitPunctuation| |u|)
-                          (|checkSplitPunctuation| |v|)))))
-              ((> |m| (SPADLET |k| (|charPosition| |$charDash| |x| 1)))
-               (SPADLET |u| (SUBSTRING |x| (PLUS |k| 1) NIL))
-               (CONS (SUBSTRING |x| 0 |k|)
-                     (CONS |$charDash| (|checkSplitPunctuation| |u|))))
-              ('T (CONS |x| NIL))))))))))
-
-;checkSplitOn(x) ==
-;  CHARP x => [x]
-;  l := $charSplitList
-;  m := MAXINDEX x
-;  while l repeat
-;    char := first l
-;    do
-;      m = 0 and x.0 = char => return (k := -1)  --special exit
-;      k := charPosition(char,x,0)
-;      k > 0 and x.(k - 1) = $charBack => [x]
-;      k <= m => return k
-;    l := rest l
-;  null l => [x]
-;  k = -1 => [char]
-;  k = 0 => [char,SUBSTRING(x,1,nil)]
-;  k = MAXINDEX x => [SUBSTRING(x,0,k),char]
-;  [SUBSTRING(x,0,k),char,:checkSplitOn SUBSTRING(x,k + 1,nil)]
-
-(DEFUN |checkSplitOn| (|x|)
-  (PROG (|m| |char| |k| |l|)
-  (declare (special |$charBack| |$charSplitList|))
-    (RETURN
-      (SEQ (COND
-             ((CHARP |x|) (CONS |x| NIL))
-             ('T (SPADLET |l| |$charSplitList|)
-              (SPADLET |m| (MAXINDEX |x|))
-              (DO () ((NULL |l|) NIL)
-                (SEQ (EXIT (PROGN
-                             (SPADLET |char| (CAR |l|))
-                             (|do| (COND
-                                     ((AND (EQL |m| 0)
-                                       (BOOT-EQUAL (ELT |x| 0) |char|))
-                                      (RETURN
-                                        (SPADLET |k|
-                                         (SPADDIFFERENCE 1))))
-                                     ('T
-                                      (SPADLET |k|
-                                       (|charPosition| |char| |x| 0))
-                                      (COND
-                                        ((AND (> |k| 0)
-                                          (BOOT-EQUAL
-                                           (ELT |x|
-                                            (SPADDIFFERENCE |k| 1))
-                                           |$charBack|))
-                                         (CONS |x| NIL))
-                                        ((<= |k| |m|) (RETURN |k|))))))
-                             (SPADLET |l| (CDR |l|))))))
-              (COND
-                ((NULL |l|) (CONS |x| NIL))
-                ((BOOT-EQUAL |k| (SPADDIFFERENCE 1)) (CONS |char| NIL))
-                ((EQL |k| 0)
-                 (CONS |char| (CONS (SUBSTRING |x| 1 NIL) NIL)))
-                ((BOOT-EQUAL |k| (MAXINDEX |x|))
-                 (CONS (SUBSTRING |x| 0 |k|) (CONS |char| NIL)))
-                ('T
-                 (CONS (SUBSTRING |x| 0 |k|)
-                       (CONS |char|
-                             (|checkSplitOn|
-                                 (SUBSTRING |x| (PLUS |k| 1) NIL))))))))))))
-
-;checkBalance u ==
-;  checkBeginEnd u
-;  stack := nil
-;  while u repeat
-;    do
-;      x := first u
-;      openClose := ASSOC(x,$checkPrenAlist)  --is it an open bracket?
-;        => stack := [CAR openClose,:stack]   --yes, push the open bracket
-;      open  := RASSOC(x,$checkPrenAlist) =>  --it is a close bracket!
-;        stack is [top,:restStack] => --does corresponding open bracket match?
-;          if open ^= top then          --yes: just pop the stack
-;            checkDocError
-;              ['"Mismatch: left ",checkSayBracket top,'" matches right ",checkSayBracket open]
-;          stack := restStack
-;        checkDocError ['"Missing left ",checkSayBracket open]
-;    u := rest u
-;  if stack then
-;    for x in NREVERSE stack repeat
-;      checkDocError ['"Missing right ",checkSayBracket x]
-;  u
-
-(DEFUN |checkBalance| (|u|)
-  (PROG (|x| |openClose| |open| |top| |restStack| |stack|)
-  (declare (special |$checkPrenAlist|))
-    (RETURN
-      (SEQ (PROGN
-             (|checkBeginEnd| |u|)
-             (SPADLET |stack| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (|do| (PROGN
-                                    (SPADLET |x| (CAR |u|))
-                                    (COND
-                                      ((SPADLET |openClose|
-                                        (|assoc| |x| |$checkPrenAlist|))
-                                       (SPADLET |stack|
-                                        (CONS (CAR |openClose|)
-                                         |stack|)))
-                                      ((SPADLET |open|
-                                        (|rassoc| |x|
-                                         |$checkPrenAlist|))
-                                       (COND
-                                         ((AND (PAIRP |stack|)
-                                           (PROGN
-                                             (SPADLET |top|
-                                              (QCAR |stack|))
-                                             (SPADLET |restStack|
-                                              (QCDR |stack|))
-                                             'T))
-                                          (COND
-                                            ((NEQUAL |open| |top|)
-                                             (|checkDocError|
-                                              (CONS
-                                                                                               "Mismatch: left "
-                                               (CONS
-                                                (|checkSayBracket|
-                                                 |top|)
-                                                (CONS
-                                                                                                   " matches right "
-                                                 (CONS
-                                                  (|checkSayBracket|
-                                                   |open|)
-                                                  NIL)))))))
-                                          (SPADLET |stack| |restStack|))
-                                         ('T
-                                          (|checkDocError|
-                                           (CONS
-                                                                                         "Missing left "
-                                            (CONS
-                                             (|checkSayBracket| |open|)
-                                             NIL)))))))))
-                            (SPADLET |u| (CDR |u|))))))
-             (COND
-               (|stack| (DO ((G167759 (NREVERSE |stack|)
-                                 (CDR G167759))
-                             (|x| NIL))
-                            ((OR (ATOM G167759)
-                                 (PROGN
-                                   (SETQ |x| (CAR G167759))
-                                   NIL))
-                             NIL)
-                          (SEQ (EXIT (|checkDocError|
-                                      (CONS
-                                       "Missing right "
-                                       (CONS (|checkSayBracket| |x|)
-                                        NIL))))))))
-             |u|)))))
-
-;checkSayBracket x ==
-;  x = char '_( or x = char '_) => '"pren"
-;  x = char '_{ or x = char '_} => '"brace"
-;  '"bracket"
-
-(DEFUN |checkSayBracket| (|x|)
-  (COND
-    ((OR (BOOT-EQUAL |x| (|char| '|(|)) (BOOT-EQUAL |x| (|char| '|)|)))
-     "pren")
-    ((OR (BOOT-EQUAL |x| (|char| '{)) (BOOT-EQUAL |x| (|char| '})))
-     "brace")
-    ('T "bracket")))
-
-;checkBeginEnd u ==
-;  beginEndStack := nil
-;  while u repeat
-;    IDENTITY
-;      x := first u
-;      STRINGP x and x.0 = $charBack and #x > 2 and not HGET($htMacroTable,x)
-;        and not (x = '"\spadignore") and IFCAR IFCDR u = $charLbrace
-;          and not
-;            (substring?('"\radiobox",x,0) or substring?('"\inputbox",x,0))=>
-;             --allow 0 argument guys to pass through
-;              checkDocError ["Unexpected HT command: ",x]
-;      x = '"\beginitems" =>
-;        beginEndStack := ["items",:beginEndStack]
-;      x = '"\begin" =>
-;        u is [.,=$charLbrace,y,:r] and CAR r = $charRbrace =>
-;          if not MEMBER(y,$beginEndList) then
-;            checkDocError ['"Unknown begin type: \begin{",y,'"}"]
-;          beginEndStack := [y,:beginEndStack]
-;          u := r
-;        checkDocError ['"Improper \begin command"]
-;      x = '"\item" =>
-;        MEMBER(IFCAR beginEndStack,'("items" "menu")) => nil
-;        null beginEndStack =>
-;          checkDocError ['"\item appears outside a \begin-\end"]
-;        checkDocError ['"\item appears within a \begin{",IFCAR beginEndStack,'"}.."]
-;      x = '"\end" =>
-;        u is [.,=$charLbrace,y,:r] and CAR r = $charRbrace =>
-;          y = IFCAR beginEndStack =>
-;            beginEndStack := rest beginEndStack
-;            u := r
-;          checkDocError ['"Trying to match \begin{",IFCAR beginEndStack,'"} with \end{",y,"}"]
-;        checkDocError ['"Improper \end command"]
-;    u := rest u
-;  beginEndStack => checkDocError ['"Missing \end{",first beginEndStack,'"}"]
-;  'ok
-
-(DEFUN |checkBeginEnd| (|u|)
-  (PROG (|x| |ISTMP#1| |ISTMP#2| |y| |r| |beginEndStack|)
-  (declare (special |$charRbrace| |$charLbrace| |$beginEndList| |$charBack|
-                    |$htMacroTable|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |beginEndStack| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (IDENTITY
-                                (PROGN
-                                  (SPADLET |x| (CAR |u|))
-                                  (COND
-                                    ((AND (STRINGP |x|)
-                                      (BOOT-EQUAL (ELT |x| 0)
-                                       |$charBack|)
-                                      (> (|#| |x|) 2)
-                                      (NULL (HGET |$htMacroTable| |x|))
-                                      (NULL
-                                       (BOOT-EQUAL |x|
-                                        "\\spadignore"))
-                                      (BOOT-EQUAL (IFCAR (IFCDR |u|))
-                                       |$charLbrace|)
-                                      (NULL
-                                       (OR
-                                        (|substring?|
-                                         "\\radiobox" |x|
-                                         0)
-                                        (|substring?|
-                                         "\\inputbox" |x|
-                                         0))))
-                                     (|checkDocError|
-                                      (CONS '|Unexpected HT command: |
-                                       (CONS |x| NIL))))
-                                    ((BOOT-EQUAL |x|
-                                      "\\beginitems")
-                                     (SPADLET |beginEndStack|
-                                      (CONS '|items| |beginEndStack|)))
-                                    ((BOOT-EQUAL |x|
-                                      "\\begin")
-                                     (COND
-                                       ((AND (PAIRP |u|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (QCDR |u|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (EQUAL (QCAR |ISTMP#1|)
-                                             |$charLbrace|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#2|
-                                               (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
-                                               (PROGN
-                                                 (SPADLET |y|
-                                                  (QCAR |ISTMP#2|))
-                                                 (SPADLET |r|
-                                                  (QCDR |ISTMP#2|))
-                                                 'T)))))
-                                         (BOOT-EQUAL (CAR |r|)
-                                          |$charRbrace|))
-                                        (COND
-                                          ((NULL
-                                            (|member| |y|
-                                             |$beginEndList|))
-                                           (|checkDocError|
-                                            (CONS
-                                                                                           "Unknown begin type: \\begin{"
-                                             (CONS |y|
-                                              (CONS "}"
-                                               NIL))))))
-                                        (SPADLET |beginEndStack|
-                                         (CONS |y| |beginEndStack|))
-                                        (SPADLET |u| |r|))
-                                       ('T
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "Improper \\begin command"
-                                          NIL)))))
-                                    ((BOOT-EQUAL |x|
-                                      "\\item")
-                                     (COND
-                                       ((|member|
-                                         (IFCAR |beginEndStack|)
-                                         '("items" "menu"))
-                                        NIL)
-                                       ((NULL |beginEndStack|)
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "\\item appears outside a \\begin-\\end"
-                                          NIL)))
-                                       ('T
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "\\item appears within a \\begin{"
-                                          (CONS (IFCAR |beginEndStack|)
-                                           (CONS "}.."
-                                            NIL)))))))
-                                    ((BOOT-EQUAL |x|
-                                      "\\end")
-                                     (COND
-                                       ((AND (PAIRP |u|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (QCDR |u|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (EQUAL (QCAR |ISTMP#1|)
-                                             |$charLbrace|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#2|
-                                               (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
-                                               (PROGN
-                                                 (SPADLET |y|
-                                                  (QCAR |ISTMP#2|))
-                                                 (SPADLET |r|
-                                                  (QCDR |ISTMP#2|))
-                                                 'T)))))
-                                         (BOOT-EQUAL (CAR |r|)
-                                          |$charRbrace|))
-                                        (COND
-                                          ((BOOT-EQUAL |y|
-                                            (IFCAR |beginEndStack|))
-                                           (SPADLET |beginEndStack|
-                                            (CDR |beginEndStack|))
-                                           (SPADLET |u| |r|))
-                                          ('T
-                                           (|checkDocError|
-                                            (CONS
-                                                                                           "Trying to match \\begin{"
-                                             (CONS
-                                              (IFCAR |beginEndStack|)
-                                              (CONS
-                                                                                               "} with \\end{"
-                                               (CONS |y| (CONS '} NIL)))))))))
-                                       ('T
-                                        (|checkDocError|
-                                         (CONS
-                                                                                     "Improper \\end command"
-                                          NIL))))))))
-                            (SPADLET |u| (CDR |u|))))))
-             (COND
-               (|beginEndStack|
-                   (|checkDocError|
-                       (CONS "Missing \\end{"
-                             (CONS (CAR |beginEndStack|)
-                                   (CONS "}" NIL)))))
-               ('T '|ok|)))))))
-
-;checkArguments u ==
-;  while u repeat
-;    do
-;      x := first u
-;      null (k := HGET($htMacroTable,x)) => 'skip
-;      k = 0 => 'skip
-;      k > 0 => checkHTargs(x,rest u,k,nil)
-;      checkHTargs(x,rest u,-k,true)
-;    u := rest u
-;  u
-
-(DEFUN |checkArguments| (|u|)
-  (PROG (|x| |k|)
-  (declare (special |$htMacroTable|))
-    (RETURN
-      (SEQ (PROGN
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (|do| (PROGN
-                                    (SPADLET |x| (CAR |u|))
-                                    (COND
-                                      ((NULL
-                                        (SPADLET |k|
-                                         (HGET |$htMacroTable| |x|)))
-                                       '|skip|)
-                                      ((EQL |k| 0) '|skip|)
-                                      ((> |k| 0)
-                                       (|checkHTargs| |x| (CDR |u|) |k|
-                                        NIL))
-                                      ('T
-                                       (|checkHTargs| |x| (CDR |u|)
-                                        (SPADDIFFERENCE |k|) 'T)))))
-                            (SPADLET |u| (CDR |u|))))))
-             |u|)))))
-
-;checkHTargs(keyword,u,nargs,integerValue?) ==
-;--u should start with an open brace ...
-;   nargs = 0 => 'ok
-;   if not (u := checkLookForLeftBrace u) then
-;     return checkDocError ['"Missing argument for ",keyword]
-;   if not (u := checkLookForRightBrace IFCDR u) then
-;     return checkDocError ['"Missing right brace for ",keyword]
-;   checkHTargs(keyword,rest u,nargs - 1,integerValue?)
-
-(DEFUN |checkHTargs| (|keyword| |u| |nargs| |integerValue?|)
-  (PROG ()
-    (RETURN
-      (COND
-        ((EQL |nargs| 0) '|ok|)
-        ('T
-         (COND
-           ((NULL (SPADLET |u| (|checkLookForLeftBrace| |u|)))
-            (RETURN
-              (|checkDocError|
-                  (CONS "Missing argument for "
-                        (CONS |keyword| NIL))))))
-         (COND
-           ((NULL (SPADLET |u| (|checkLookForRightBrace| (IFCDR |u|))))
-            (RETURN
-              (|checkDocError|
-                  (CONS "Missing right brace for "
-                        (CONS |keyword| NIL))))))
-         (|checkHTargs| |keyword| (CDR |u|) (SPADDIFFERENCE |nargs| 1)
-             |integerValue?|))))))
-
-;checkLookForLeftBrace(u) ==   --return line beginning with left brace
-;  while u repeat
-;    x := first u
-;    if x = $charLbrace then return u
-;    x ^= $charBlank => return nil
-;    u := rest u
-;  u
-
-(DEFUN |checkLookForLeftBrace| (|u|)
-  (PROG (|x|)
-  (declare (special |$charBlank| |$charLbrace|))
-    (RETURN
-      (SEQ (PROGN
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (COND
-                              ((BOOT-EQUAL |x| |$charLbrace|)
-                               (RETURN |u|)))
-                            (COND
-                              ((NEQUAL |x| |$charBlank|) (RETURN NIL))
-                              ('T (SPADLET |u| (CDR |u|))))))))
-             |u|)))))
-
-;checkLookForRightBrace(u) ==  --return line beginning with right brace
-;  count := 0
-;  while u repeat
-;    x := first u
-;    do
-;      x = $charRbrace =>
-;        count = 0 => return (found := u)
-;        count := count - 1
-;      x = $charLbrace => count := count + 1
-;    u := rest u
-;  found
-
-(DEFUN |checkLookForRightBrace| (|u|)
-  (PROG (|x| |found| |count|)
-  (declare (special |$charLbrace| |$charRbrace|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |count| 0)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (|do| (COND
-                                    ((BOOT-EQUAL |x| |$charRbrace|)
-                                     (COND
-                                       ((EQL |count| 0)
-                                        (RETURN (SPADLET |found| |u|)))
-                                       ('T
-                                        (SPADLET |count|
-                                         (SPADDIFFERENCE |count| 1)))))
-                                    ((BOOT-EQUAL |x| |$charLbrace|)
-                                     (SPADLET |count| (PLUS |count| 1)))))
-                            (SPADLET |u| (CDR |u|))))))
-             |found|)))))
-
-;checkInteger s ==
-;  CHARP s => false
-;  s = '"" => false
-;  and/[DIGIT_-CHAR_-P s.i for i in 0..MAXINDEX s]
-
-(DEFUN |checkInteger| (|s|)
-  (PROG ()
-    (RETURN
-      (SEQ (COND
-             ((CHARP |s|) NIL)
-             ((BOOT-EQUAL |s| "") NIL)
-             ('T
-              (PROG (G167927)
-                (SPADLET G167927 'T)
-                (RETURN
-                  (DO ((G167933 NIL (NULL G167927))
-                       (G167934 (MAXINDEX |s|)) (|i| 0 (QSADD1 |i|)))
-                      ((OR G167933 (QSGREATERP |i| G167934))
-                       G167927)
-                    (SEQ (EXIT (SETQ G167927
-                                     (AND G167927
-                                      (DIGIT-CHAR-P (ELT |s| |i|)))))))))))))))
-
-;checkTransformFirsts(opname,u,margin) ==
-;--case 1: \spad{...
-;--case 2: form(args)
-;--case 3: form arg
-;--case 4: op arg
-;--case 5: arg op arg
-;  namestring := PNAME opname
-;  if namestring = '"Zero" then namestring := '"0"
-;  else if namestring = '"One" then namestring := '"1"
-;  margin > 0 =>
-;    s := leftTrim u
-;    STRCONC(fillerSpaces margin,checkTransformFirsts(opname,s,0))
-;  m := MAXINDEX u
-;  m < 2 => u
-;  u.0 = $charBack => u
-;  ALPHA_-CHAR_-P u.0 =>
-;    i := checkSkipToken(u,0,m) or return u
-;    j := checkSkipBlanks(u,i,m) or return u
-;    open := u.j
-;    open = char '_[ and (close := char '_]) or
-;          open = char '_(  and (close := char '_)) =>
-;      k := getMatchingRightPren(u,j + 1,open,close)
-;      namestring ^= (firstWord := SUBSTRING(u,0,i)) =>
-;        checkDocError ['"Improper first word in comments: ",firstWord]
-;        u
-;      null k =>
-;         if open = char '_[
-;           then checkDocError ['"Missing close bracket on first line: ", u]
-;           else checkDocError ['"Missing close parenthesis on first line: ", u]
-;         u
-;      STRCONC('"\spad{",SUBSTRING(u,0,k + 1),'"}",SUBSTRING(u,k + 1,nil))
-;    k := checkSkipToken(u,j,m) or return u
-;    infixOp := INTERN SUBSTRING(u,j,k - j)
-;    not GET(infixOp,'Led) =>                                     --case 3
-;      namestring ^= (firstWord := SUBSTRING(u,0,i)) =>
-;        checkDocError ['"Improper first word in comments: ",firstWord]
-;        u
-;      #(p := PNAME infixOp) = 1 and (open := p.0) and
-;        (close := LASSOC(open,$checkPrenAlist)) =>  --have an open bracket
-;          l := getMatchingRightPren(u,k + 1,open,close)
-;          if l > MAXINDEX u then l := k - 1
-;          STRCONC('"\spad{",SUBSTRING(u,0,l + 1),'"}",SUBSTRING(u,l + 1,nil))
-;      STRCONC('"\spad{",SUBSTRING(u,0,k),'"}",SUBSTRING(u,k,nil))
-;    l := checkSkipBlanks(u,k,m) or return u
-;    n := checkSkipToken(u,l,m) or return u
-;    namestring ^= PNAME infixOp =>
-;      checkDocError ['"Improper initial operator in comments: ",infixOp]
-;      u
-;    STRCONC('"\spad{",SUBSTRING(u,0,n),'"}",SUBSTRING(u,n,nil))   --case 5
-;  true =>          -- not ALPHA_-CHAR_-P u.0 =>
-;    i := checkSkipToken(u,0,m) or return u
-;    namestring ^= (firstWord := SUBSTRING(u,0,i)) =>
-;      checkDocError ['"Improper first word in comments: ",firstWord]
-;      u
-;    prefixOp := INTERN SUBSTRING(u,0,i)
-;    not GET(prefixOp,'Nud) =>
-;      u ---what could this be?
-;    j := checkSkipBlanks(u,i,m) or return u
-;    u.j = char '_( =>                                            --case 4
-;      j := getMatchingRightPren(u,j + 1,char '_(,char '_))
-;      j > m => u
-;      STRCONC('"\spad{",SUBSTRING(u,0,j + 1),'"}",SUBSTRING(u,j + 1,nil))
-;    k := checkSkipToken(u,j,m) or return u
-;    namestring ^= (firstWord := SUBSTRING(u,0,i)) =>
-;      checkDocError ['"Improper first word in comments: ",firstWord]
-;      u
-;    STRCONC('"\spad{",SUBSTRING(u,0,k),'"}",SUBSTRING(u,k,nil))
-
-(DEFUN |checkTransformFirsts| (|opname| |u| |margin|)
-  (PROG (|namestring| |s| |m| |infixOp| |p| |open| |close| |l| |n| |i|
-            |prefixOp| |j| |k| |firstWord|)
-  (declare (special |$checkPrenAlist| |$charBack|))
-    (RETURN
-      (PROGN
-        (SPADLET |namestring| (PNAME |opname|))
-        (COND
-          ((BOOT-EQUAL |namestring| "Zero")
-           (SPADLET |namestring| "0"))
-          ((BOOT-EQUAL |namestring| "One")
-           (SPADLET |namestring| "1"))
-          ('T NIL))
-        (COND
-          ((> |margin| 0) (SPADLET |s| (|leftTrim| |u|))
-           (STRCONC (|fillerSpaces| |margin|)
-                    (|checkTransformFirsts| |opname| |s| 0)))
-          ('T (SPADLET |m| (MAXINDEX |u|))
-           (COND
-             ((> 2 |m|) |u|)
-             ((BOOT-EQUAL (ELT |u| 0) |$charBack|) |u|)
-             ((ALPHA-CHAR-P (ELT |u| 0))
-              (SPADLET |i|
-                       (OR (|checkSkipToken| |u| 0 |m|) (RETURN |u|)))
-              (SPADLET |j|
-                       (OR (|checkSkipBlanks| |u| |i| |m|)
-                           (RETURN |u|)))
-              (SPADLET |open| (ELT |u| |j|))
-              (COND
-                ((OR (AND (BOOT-EQUAL |open| (|char| '[))
-                          (SPADLET |close| (|char| '])))
-                     (AND (BOOT-EQUAL |open| (|char| '|(|))
-                          (SPADLET |close| (|char| '|)|))))
-                 (SPADLET |k|
-                          (|getMatchingRightPren| |u| (PLUS |j| 1)
-                              |open| |close|))
-                 (COND
-                   ((NEQUAL |namestring|
-                            (SPADLET |firstWord| (SUBSTRING |u| 0 |i|)))
-                    (|checkDocError|
-                        (CONS                                   "Improper first word in comments: "
-                              (CONS |firstWord| NIL)))
-                    |u|)
-                   ((NULL |k|)
-                    (COND
-                      ((BOOT-EQUAL |open| (|char| '[))
-                       (|checkDocError|
-                           (CONS                                      "Missing close bracket on first line: "
-                                 (CONS |u| NIL))))
-                      ('T
-                       (|checkDocError|
-                           (CONS                                      "Missing close parenthesis on first line: "
-                                 (CONS |u| NIL)))))
-                    |u|)
-                   ('T
-                    (STRCONC "\\spad{"
-                             (SUBSTRING |u| 0 (PLUS |k| 1))
-                             "}"
-                             (SUBSTRING |u| (PLUS |k| 1) NIL)))))
-                ('T
-                 (SPADLET |k|
-                          (OR (|checkSkipToken| |u| |j| |m|)
-                              (RETURN |u|)))
-                 (SPADLET |infixOp|
-                          (INTERN (SUBSTRING |u| |j|
-                                      (SPADDIFFERENCE |k| |j|))))
-                 (COND
-                   ((NULL (GETL |infixOp| '|Led|))
-                    (COND
-                      ((NEQUAL |namestring|
-                               (SPADLET |firstWord|
-                                        (SUBSTRING |u| 0 |i|)))
-                       (|checkDocError|
-                           (CONS                                      "Improper first word in comments: "
-                                 (CONS |firstWord| NIL)))
-                       |u|)
-                      ((AND (EQL (|#| (SPADLET |p| (PNAME |infixOp|)))
-                                 1)
-                            (SPADLET |open| (ELT |p| 0))
-                            (SPADLET |close|
-                                     (LASSOC |open| |$checkPrenAlist|)))
-                       (SPADLET |l|
-                                (|getMatchingRightPren| |u|
-                                    (PLUS |k| 1) |open| |close|))
-                       (COND
-                         ((> |l| (MAXINDEX |u|))
-                          (SPADLET |l| (SPADDIFFERENCE |k| 1))))
-                       (STRCONC "\\spad{"
-                                (SUBSTRING |u| 0 (PLUS |l| 1))
-                                "}"
-                                (SUBSTRING |u| (PLUS |l| 1) NIL)))
-                      ('T
-                       (STRCONC "\\spad{"
-                                (SUBSTRING |u| 0 |k|) "}"
-                                (SUBSTRING |u| |k| NIL)))))
-                   ('T
-                    (SPADLET |l|
-                             (OR (|checkSkipBlanks| |u| |k| |m|)
-                                 (RETURN |u|)))
-                    (SPADLET |n|
-                             (OR (|checkSkipToken| |u| |l| |m|)
-                                 (RETURN |u|)))
-                    (COND
-                      ((NEQUAL |namestring| (PNAME |infixOp|))
-                       (|checkDocError|
-                           (CONS                                      "Improper initial operator in comments: "
-                                 (CONS |infixOp| NIL)))
-                       |u|)
-                      ('T
-                       (STRCONC "\\spad{"
-                                (SUBSTRING |u| 0 |n|) "}"
-                                (SUBSTRING |u| |n| NIL)))))))))
-             ('T
-              (SPADLET |i|
-                       (OR (|checkSkipToken| |u| 0 |m|) (RETURN |u|)))
-              (COND
-                ((NEQUAL |namestring|
-                         (SPADLET |firstWord| (SUBSTRING |u| 0 |i|)))
-                 (|checkDocError|
-                     (CONS                                "Improper first word in comments: "
-                           (CONS |firstWord| NIL)))
-                 |u|)
-                ('T (SPADLET |prefixOp| (INTERN (SUBSTRING |u| 0 |i|)))
-                 (COND
-                   ((NULL (GETL |prefixOp| '|Nud|)) |u|)
-                   ('T
-                    (SPADLET |j|
-                             (OR (|checkSkipBlanks| |u| |i| |m|)
-                                 (RETURN |u|)))
-                    (COND
-                      ((BOOT-EQUAL (ELT |u| |j|) (|char| '|(|))
-                       (SPADLET |j|
-                                (|getMatchingRightPren| |u|
-                                    (PLUS |j| 1) (|char| '|(|)
-                                    (|char| '|)|)))
-                       (COND
-                         ((> |j| |m|) |u|)
-                         ('T
-                          (STRCONC "\\spad{"
-                                   (SUBSTRING |u| 0 (PLUS |j| 1))
-                                   "}"
-                                   (SUBSTRING |u| (PLUS |j| 1) NIL)))))
-                      ('T
-                       (SPADLET |k|
-                                (OR (|checkSkipToken| |u| |j| |m|)
-                                    (RETURN |u|)))
-                       (COND
-                         ((NEQUAL |namestring|
-                                  (SPADLET |firstWord|
-                                           (SUBSTRING |u| 0 |i|)))
-                          (|checkDocError|
-                              (CONS                                      "Improper first word in comments: "
-                                    (CONS |firstWord| NIL)))
-                          |u|)
-                         ('T
-                          (STRCONC "\\spad{"
-                                   (SUBSTRING |u| 0 |k|)
-                                   "}"
-                                   (SUBSTRING |u| |k| NIL))))))))))))))))))
-
-;getMatchingRightPren(u,j,open,close) ==
-;  count := 0
-;  m := MAXINDEX u
-;  for i in j..m repeat
-;    c := u . i
-;    do
-;      c = close =>
-;        count = 0 => return (found := i)
-;        count := count - 1
-;      c = open => count := count + 1
-;  found
-
-(DEFUN |getMatchingRightPren| (|u| |j| |open| |close|)
-  (PROG (|m| |c| |found| |count|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |count| 0)
-             (SPADLET |m| (MAXINDEX |u|))
-             (DO ((|i| |j| (+ |i| 1))) ((> |i| |m|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |c| (ELT |u| |i|))
-                            (|do| (COND
-                                    ((BOOT-EQUAL |c| |close|)
-                                     (COND
-                                       ((EQL |count| 0)
-                                        (RETURN (SPADLET |found| |i|)))
-                                       ('T
-                                        (SPADLET |count|
-                                         (SPADDIFFERENCE |count| 1)))))
-                                    ((BOOT-EQUAL |c| |open|)
-                                     (SPADLET |count| (PLUS |count| 1)))))))))
-             |found|)))))
-
-;checkSkipBlanks(u,i,m) ==
-;  while i < m and u.i = $charBlank repeat i := i + 1
-;  i = m => nil
-;  i
-
-(DEFUN |checkSkipBlanks| (|u| |i| |m|)
-  (declare (special |$charBlank|))
-  (SEQ (PROGN
-         (DO ()
-             ((NULL (AND (> |m| |i|)
-                         (BOOT-EQUAL (ELT |u| |i|) |$charBlank|)))
-              NIL)
-           (SEQ (EXIT (SPADLET |i| (PLUS |i| 1)))))
-         (COND ((BOOT-EQUAL |i| |m|) NIL) ('T |i|)))))
-
-;checkSkipToken(u,i,m) ==
-;  ALPHA_-CHAR_-P(u.i) => checkSkipIdentifierToken(u,i,m)
-;  checkSkipOpToken(u,i,m)
-
-(DEFUN |checkSkipToken| (|u| |i| |m|)
-  (COND
-    ((ALPHA-CHAR-P (ELT |u| |i|))
-     (|checkSkipIdentifierToken| |u| |i| |m|))
-    ('T (|checkSkipOpToken| |u| |i| |m|))))
-
-;checkSkipOpToken(u,i,m) ==
-;  while i < m and
-;    (not(checkAlphabetic(u.i)) and not(MEMBER(u.i,$charDelimiters))) repeat
-;      i := i + 1
-;  i = m => nil
-;  i
-
-(DEFUN |checkSkipOpToken| (|u| |i| |m|)
-  (declare (special |$charDelimiters|))
-  (SEQ (PROGN
-         (DO ()
-             ((NULL (AND (> |m| |i|)
-                         (NULL (|checkAlphabetic| (ELT |u| |i|)))
-                         (NULL (|member| (ELT |u| |i|)
-                                   |$charDelimiters|))))
-              NIL)
-           (SEQ (EXIT (SPADLET |i| (PLUS |i| 1)))))
-         (COND ((BOOT-EQUAL |i| |m|) NIL) ('T |i|)))))
-
-;checkSkipIdentifierToken(u,i,m) ==
-;  while i < m and checkAlphabetic u.i repeat i := i + 1
-;  i = m => nil
-;  i
-
-(DEFUN |checkSkipIdentifierToken| (|u| |i| |m|)
-  (SEQ (PROGN
-         (DO ()
-             ((NULL (AND (> |m| |i|) (|checkAlphabetic| (ELT |u| |i|))))
-              NIL)
-           (SEQ (EXIT (SPADLET |i| (PLUS |i| 1)))))
-         (COND ((BOOT-EQUAL |i| |m|) NIL) ('T |i|)))))
-
-;checkAlphabetic c ==
-;  ALPHA_-CHAR_-P c or DIGITP c or MEMQ(c,$charIdentifierEndings)
-
-(DEFUN |checkAlphabetic| (|c|)
-  (declare (special |$charIdentifierEndings|))
-  (OR (ALPHA-CHAR-P |c|) (DIGITP |c|)
-      (member |c| |$charIdentifierEndings|)))
-
-;--=======================================================================
-;--        Code for creating a personalized report for ++ comments
-;--=======================================================================
-;docreport(nam) ==
-;--creates a report for person "nam" using file "whofiles"
-;  OBEY '"rm docreport.input"
-;  OBEY STRCONC('"echo _")bo setOutStream('",STRINGIMAGE nam,'")_" > temp.input")
-;  OBEY '"cat docreport.header temp.input > docreport.input"
-;  OBEY STRCONC('"awk '/",STRINGIMAGE nam,'"/ {printf(_")co %s.spad\n_",$2)}' whofiles > temp.input")
-;  OBEY '"cat docreport.input temp.input > temp1.input"
-;  OBEY '"cat temp1.input docreport.trailer > docreport.input"
-;  OBEY '"rm temp.input"
-;  OBEY '"rm temp1.input"
-;  SETQ(_/EDITFILE,'"docreport.input")
-;  _/RQ()
-
-(DEFUN |docreport| (|nam|)
-  (PROGN
-    (OBEY "rm docreport.input")
-    (OBEY (STRCONC "echo \")bo setOutStream('"
-                   (STRINGIMAGE |nam|) ")\" > temp.input"))
-    (OBEY               "cat docreport.header temp.input > docreport.input")
-    (OBEY (STRCONC "awk '/" (STRINGIMAGE |nam|)
-                                          "/ {printf(\")co %s.spad\\n\",$2)}' whofiles > temp.input"))
-    (OBEY "cat docreport.input temp.input > temp1.input")
-    (OBEY               "cat temp1.input docreport.trailer > docreport.input")
-    (OBEY "rm temp.input")
-    (OBEY "rm temp1.input")
-    (SETQ /EDITFILE "docreport.input")
-    (/RQ)))
-
-;setOutStream nam ==
-;  filename := STRCONC('"/tmp/",STRINGIMAGE nam,".docreport")
-;  $outStream := MAKE_-OUTSTREAM filename
-
-(DEFUN |setOutStream| (|nam|)
-  (PROG (|filename|)
-  (declare (special |$outStream|))
-    (RETURN
-      (PROGN
-        (SPADLET |filename|
-                 (STRCONC "/tmp/" (STRINGIMAGE |nam|)
-                          (INTERN ".docreport" "BOOT")))
-        (SPADLET |$outStream| (MAKE-OUTSTREAM |filename|))))))
-
-;whoOwns(con) ==
-;  null $exposeFlag => nil
-;--con=constructor name (id beginning with a capital), returns owner as a string
-;  filename := GETDATABASE(con,'SOURCEFILE)
-;  quoteChar := char '_"
-;  OBEY STRCONC('"awk '$2 == ",quoteChar,filename,quoteChar,'" {print $1}' whofiles > /tmp/temp")
-;  instream := MAKE_-INSTREAM '"/tmp/temp"
-;  value :=
-;    EOFP instream => nil
-;    READLINE instream
-;  SHUT instream
-;  value
-
-(DEFUN |whoOwns| (|con|)
-  (PROG (|filename| |quoteChar| |instream| |value|)
-  (declare (special |$exposeFlag|))
-    (RETURN
-      (COND
-        ((NULL |$exposeFlag|) NIL)
-        ('T (SPADLET |filename| (GETDATABASE |con| 'SOURCEFILE))
-         (SPADLET |quoteChar| (|char| '|"|))
-         (OBEY (STRCONC "awk '$2 == " |quoteChar|
-                        |filename| |quoteChar|
-                                                    " {print $1}' whofiles > /tmp/temp"))
-         (SPADLET |instream| (MAKE-INSTREAM "/tmp/temp"))
-         (SPADLET |value|
-                  (COND
-                    ((EOFP |instream|) NIL)
-                    ('T (READLINE |instream|))))
-         (SHUT |instream|) |value|)))))
-
-;--=======================================================================
-;--             Report Documentation Error
-;--=======================================================================
-;checkDocError1 u ==
-;--when compiling for documentation, ignore certain errors
-;  BOUNDP '$compileDocumentation and $compileDocumentation => nil
-;  checkDocError u
-
-(DEFUN |checkDocError1| (|u|)
-  (declare (special |$compileDocumentation|))
-  (COND
-    ((AND (BOUNDP '|$compileDocumentation|) |$compileDocumentation|)
-     NIL)
-    ('T (|checkDocError| |u|))))
-
-;checkDocError u ==
-;  $checkErrorFlag := true
-;  msg :=
-;    $recheckingFlag =>
-;      $constructorName => checkDocMessage u
-;      concat('"> ",u)
-;    $constructorName => checkDocMessage u
-;    u
-;  if $exposeFlag and $exposeFlagHeading then
-;    SAYBRIGHTLY1($exposeFlagHeading,$outStream)
-;    sayBrightly $exposeFlagHeading
-;    $exposeFlagHeading := nil
-;  sayBrightly msg
-;  if $exposeFlag then SAYBRIGHTLY1(msg,$outStream)
-
-(DEFUN |checkDocError| (|u|)
-  (PROG (|msg|)
-  (declare (special |$outStream| |$exposeFlag| |$exposeFlagHeading|
-                    |$constructorName| |$recheckingFlag| |$checkErrorFlag|))
-    (RETURN
-      (PROGN
-        (SPADLET |$checkErrorFlag| 'T)
-        (SPADLET |msg|
-                 (COND
-                   (|$recheckingFlag|
-                       (COND
-                         (|$constructorName| (|checkDocMessage| |u|))
-                         ('T (|concat| "> " |u|))))
-                   (|$constructorName| (|checkDocMessage| |u|))
-                   ('T |u|)))
-        (COND
-          ((AND |$exposeFlag| |$exposeFlagHeading|)
-           (SAYBRIGHTLY1 |$exposeFlagHeading| |$outStream|)
-           (|sayBrightly| |$exposeFlagHeading|)
-           (SPADLET |$exposeFlagHeading| NIL)))
-        (|sayBrightly| |msg|)
-        (COND
-          (|$exposeFlag| (SAYBRIGHTLY1 |msg| |$outStream|))
-          ('T NIL))))))
-
-;  --if called by checkDocFile (see file checkdoc.boot)
-;checkDocMessage u ==
-;  sourcefile := GETDATABASE($constructorName,'SOURCEFILE)
-;  person := whoOwns $constructorName or '"---"
-;  middle :=
-;    BOUNDP '$x => ['"(",$x,'"): "]
-;    ['": "]
-;  concat(person,'">",sourcefile,'"-->",$constructorName,middle,u)
-
-(DEFUN |checkDocMessage| (|u|)
-  (PROG (|sourcefile| |person| |middle|)
-  (declare (special |$constructorName| |$x|))
-    (RETURN
-      (PROGN
-        (SPADLET |sourcefile|
-                 (GETDATABASE |$constructorName| 'SOURCEFILE))
-        (SPADLET |person|
-                 (OR (|whoOwns| |$constructorName|) "---"))
-        (SPADLET |middle|
-                 (COND
-                   ((BOUNDP '|$x|)
-                    (CONS "("
-                          (CONS |$x| (CONS "): " NIL))))
-                   ('T (CONS ": " NIL))))
-        (|concat| |person| ">" |sourcefile|
-            "-->" |$constructorName| |middle| |u|)))))
-
-;checkDecorateForHt u ==
-;  count := 0
-;  spadflag := false    --means OK to wrap single letter words with \s{}
-;  while u repeat
-;    x := first u
-;    do
-;      if x = '"\em" then
-;        if count > 0 then spadflag := count - 1
-;        else checkDocError ['"\em must be enclosed in braces"]
-;      if MEMBER(x,'("\s" "\spadop" "\spadtype" "\spad" "\spadpaste" "\spadcommand" "\footnote")) then spadflag := count
-;      else if x = $charLbrace then count := count + 1
-;      else if x = $charRbrace then
-;        count := count - 1
-;        if spadflag = count then spadflag := false
-;      else if not spadflag and MEMBER(x,'("+" "*" "=" "==" "->")) then
-;        if $checkingXmptex? then
-;          checkDocError ["Symbol ",x,'" appearing outside \spad{}"]
-;      x = '"$" or x = '"%" => checkDocError ['"Unescaped ",x]
-;--      null spadflag and STRINGP x and (MEMBER(x,$argl) or #x = 1
-;--        and ALPHA_-CHAR_-P x.0) and not MEMBER(x,'("a" "A")) =>
-;--          checkDocError1 ['"Naked ",x]
-;--      null spadflag and STRINGP x and (not x.0 = $charBack and not DIGITP(x.0) and DIGITP(x.(MAXINDEX x))or MEMBER(x,'("true" "false")))
-;--        => checkDocError1 ["Naked ",x]
-;    u := rest u
-;  u
-
-(DEFUN |checkDecorateForHt| (|u|)
-  (PROG (|x| |count| |spadflag|)
-  (declare (special |$checkingXmptex?| |$charRbrace| |$charLbrace|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |count| 0)
-             (SPADLET |spadflag| NIL)
-             (DO () ((NULL |u|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |u|))
-                            (|do| (PROGN
-                                    (COND
-                                      ((BOOT-EQUAL |x|
-                                        "\\em")
-                                       (COND
-                                         ((> |count| 0)
-                                          (SPADLET |spadflag|
-                                           (SPADDIFFERENCE |count| 1)))
-                                         ('T
-                                          (|checkDocError|
-                                           (CONS
-                                                                                         "\\em must be enclosed in braces"
-                                            NIL))))))
-                                    (COND
-                                      ((|member| |x|
-                                        '("\\s" "\\spadop" "\\spadtype"
-                                          "\\spad" "\\spadpaste"
-                                          "\\spadcommand" "\\footnote"))
-                                       (SPADLET |spadflag| |count|))
-                                      ((BOOT-EQUAL |x| |$charLbrace|)
-                                       (SPADLET |count|
-                                        (PLUS |count| 1)))
-                                      ((BOOT-EQUAL |x| |$charRbrace|)
-                                       (SPADLET |count|
-                                        (SPADDIFFERENCE |count| 1))
-                                       (COND
-                                         ((BOOT-EQUAL |spadflag|
-                                           |count|)
-                                          (SPADLET |spadflag| NIL))
-                                         ('T NIL)))
-                                      ((AND (NULL |spadflag|)
-                                        (|member| |x|
-                                         '("+" "*" "=" "==" "->")))
-                                       (COND
-                                         (|$checkingXmptex?|
-                                          (|checkDocError|
-                                           (CONS '|Symbol |
-                                            (CONS |x|
-                                             (CONS
-                                                                                             " appearing outside \\spad{}"
-                                              NIL)))))
-                                         ('T NIL)))
-                                      ('T NIL))
-                                    (COND
-                                      ((OR
-                                        (BOOT-EQUAL |x|
-                                         "$")
-                                        (BOOT-EQUAL |x|
-                                         "%"))
-                                       (|checkDocError|
-                                        (CONS "Unescaped "
-                                         (CONS |x| NIL)))))))
-                            (SPADLET |u| (CDR |u|))))))
-             |u|)))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/clam.lisp.pamphlet axiom-20111101/src/interp/clam.lisp.pamphlet
--- axiom-20110301a/src/interp/clam.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/clam.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -171,11 +171,11 @@
           ((NULL (PROGN
                    (SPADLET |ISTMP#1|
                             (SPADLET |u| (LASSQ |op| |$clamList|)))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |kind| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |eqEtc| (QCAR |ISTMP#2|))
                                  (SPADLET |options| (QCDR |ISTMP#2|))
@@ -220,7 +220,7 @@
            (SPADLET |g1| (GENSYM))
            (SPADLET |LETTMP#1|
                     (COND
-                      ((AND (PAIRP |argl|) (EQ (QCDR |argl|) NIL))
+                      ((AND (CONSP |argl|) (EQ (QCDR |argl|) NIL))
                        (CONS (CONS |g1| NIL)
                              (CONS (CONS |auxfn| (CONS |g1| NIL)) NIL)))
                       ('T
@@ -503,7 +503,7 @@
                       ((NULL |argl|)
                        (CONS NIL
                              (CONS NIL (CONS (CONS |auxfn| NIL) NIL))))
-                      ((AND (PAIRP |argl|) (EQ (QCDR |argl|) NIL))
+                      ((AND (CONSP |argl|) (EQ (QCDR |argl|) NIL))
                        (SPADLET |key|
                                 (COND
                                   (|cacheNameOrNil|
@@ -789,7 +789,7 @@
                    (SPADLET |application|
                             (COND
                               ((NULL |argl|) (CONS |auxfn| NIL))
-                              ((AND (PAIRP |argl|)
+                              ((AND (CONSP |argl|)
                                     (EQ (QCDR |argl|) NIL))
                                (CONS |auxfn| (CONS |g1| NIL)))
                               ('T
@@ -1158,7 +1158,7 @@
                                      NIL)
                                    (NULL
                                     (NULL
-                                     (AND (PAIRP |x|)
+                                     (AND (CONSP |x|)
                                       (EQUAL (QCAR |x|) '|$failed|)))))
                                G2595)
                             (SEQ (EXIT (SETQ G2595 (PLUS G2595 1))))))))
@@ -1814,11 +1814,11 @@
                (SPADLET |$instantCoerceCount|
                         (PLUS 1 |$instantCoerceCount|))))
             (COND
-              ((AND (PAIRP |$insideCanCoerceFrom|)
+              ((AND (CONSP |$insideCanCoerceFrom|)
                     (PROGN
                       (SPADLET |m1| (QCAR |$insideCanCoerceFrom|))
                       (SPADLET |ISTMP#1| (QCDR |$insideCanCoerceFrom|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN (SPADLET |m2| (QCAR |ISTMP#1|)) 'T)))
                     (NULL |dropIfTrue|))
                (SPADLET |$instantCanCoerceCount|
diff -Nru axiom-20110301a/src/interp/clammed.lisp.pamphlet axiom-20111101/src/interp/clammed.lisp.pamphlet
--- axiom-20110301a/src/interp/clammed.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/clammed.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -82,7 +82,7 @@
     (RETURN
       (COND
         ((SPADLET |val| (|canCoerce1| |t1| |t2|)) |val|)
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Variable|))
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Variable|))
          (SPADLET |newMode| (|getMinimalVarMode| |t1| NIL))
          (AND (|canCoerce1| |t1| |newMode|)
               (|canCoerce1| |newMode| |t2|)))
@@ -145,25 +145,25 @@
                                      NIL))
                                (NREVERSE0 G166113))
                             (SEQ (EXIT (COND
-                                         ((AND (PAIRP |x|)
+                                         ((AND (CONSP |x|)
                                            (PROGN
                                              (SPADLET |sig| (QCAR |x|))
                                              'T)
                                            (|hasCorrectTarget| |m2|
                                             |sig|)
-                                           (PAIRP |sig|)
+                                           (CONSP |sig|)
                                            (PROGN
                                              (SPADLET |dc|
                                               (QCAR |sig|))
                                              (SPADLET |ISTMP#1|
                                               (QCDR |sig|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (PROGN
                                                 (SPADLET |targ|
                                                  (QCAR |ISTMP#1|))
                                                 (SPADLET |ISTMP#2|
                                                  (QCDR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
+                                                (AND (CONSP |ISTMP#2|)
                                                  (EQ (QCDR |ISTMP#2|)
                                                   NIL)
                                                  (PROGN
@@ -286,7 +286,7 @@
              ((|member| |form|
                   '((|Mode|) (|Domain|) (|SubDomain| (|Domain|))))
               'T)
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Record|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|Record|)
                    (PROGN (SPADLET |selectors| (QCDR |form|)) 'T))
               (PROG (G166262)
                 (SPADLET G166262 'T)
@@ -308,7 +308,7 @@
                     (SEQ (EXIT (SETQ G166262
                                      (AND G166262
                                       (|isValidType| |type|)))))))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Enumeration|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|Enumeration|)
                    (PROGN (SPADLET |args| (QCDR |form|)) 'T))
               (COND
                 ((NULL (PROG (G166278)
@@ -327,7 +327,7 @@
                  NIL)
                 ((BOOT-EQUAL (|#| |args|) (|#| (REMDUP |args|))) 'T)
                 ('T NIL)))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Mapping|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|Mapping|)
                    (PROGN (SPADLET |mapargs| (QCDR |form|)) 'T))
               (COND
                 ((NULL |mapargs|) NIL)
@@ -346,13 +346,13 @@
                        (SEQ (EXIT (SETQ G166292
                                         (AND G166292
                                          (|isValidType| |type|)))))))))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Union|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|Union|)
                    (PROGN (SPADLET |args| (QCDR |form|)) 'T))
               (COND
                 ((AND |args|
                       (PROGN
                         (SPADLET |ISTMP#1| (CAR |args|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) '|:|))))
                  (PROG (G166306)
                    (SPADLET G166306 'T)
@@ -398,77 +398,77 @@
                              '(|Gaussian| |Complex| |Polynomial|
                                   |Expression|)))
               (COND
-                ((AND (PAIRP |form|)
+                ((AND (CONSP |form|)
                       (PROGN
                         (SPADLET T1 (QCAR |form|))
                         (SPADLET |ISTMP#1| (QCDR |form|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET T2 (QCAR |ISTMP#2|))
                                       'T)))))
                       (BOOT-EQUAL T1 T2) (|member| T1 |badDoubles|))
                  NIL)
-                ((AND (PAIRP |form|)
+                ((AND (CONSP |form|)
                       (EQUAL (QCAR |form|) |$QuotientField|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |form|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T)))
                       (NULL (|isPartialMode| D))
                       (|ofCategory| D '(|Field|)))
                  NIL)
-                ((AND (PAIRP |form|)
+                ((AND (CONSP |form|)
                       (EQ (QCAR |form|) '|UnivariatePolynomial|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |form|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |x| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#3|
                                        (QCAR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCAR |ISTMP#3|)
                                         '|UnivariatePolynomial|)
                                        (PROGN
                                          (SPADLET |ISTMP#4|
                                           (QCDR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
+                                         (AND (CONSP |ISTMP#4|)
                                           (PROGN
                                             (SPADLET |y|
                                              (QCAR |ISTMP#4|))
                                             (SPADLET |ISTMP#5|
                                              (QCDR |ISTMP#4|))
-                                            (AND (PAIRP |ISTMP#5|)
+                                            (AND (CONSP |ISTMP#5|)
                                              (EQ (QCDR |ISTMP#5|) NIL)))))))))))
                       (BOOT-EQUAL |x| |y|))
                  NIL)
                 ((BOOT-EQUAL |form| '(|Complex| (|AlgebraicNumber|)))
                  NIL)
-                ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Expression|)
+                ((AND (CONSP |form|) (EQ (QCAR |form|) '|Expression|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |form|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCAR |ISTMP#2|) '|Kernel|)
                                     (PROGN
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL))))))))
                  NIL)
-                ((AND (PAIRP |form|)
+                ((AND (CONSP |form|)
                       (PROGN
                         (SPADLET |op| (QCAR |form|))
                         (SPADLET |argl| (QCDR |form|))
@@ -610,12 +610,10 @@
     (RETURN
       (PROGN
         (|startTimingProcess| '|resolve|)
-        (SPADLET |t1| (|eqType| |t1|))
-        (SPADLET |t2| (|eqType| |t2|))
         (COND
           ((NULL (SPADLET |t| (|resolveTT1| |t1| |t2|)))
            (|stopTimingProcess| '|resolve|) NIL)
-          ((|isValidType| (SPADLET |t| (|eqType| |t|)))
+          ((|isValidType| |t|)
            (|stopTimingProcess| '|resolve|) |t|)
           ('T (|stopTimingProcess| '|resolve|) NIL))))))
 
@@ -703,31 +701,31 @@
                              '(|Gaussian| |Complex| |Polynomial|
                                   |Expression|)))
               (COND
-                ((AND (PAIRP |t|)
+                ((AND (CONSP |t|)
                       (PROGN
                         (SPADLET T1 (QCAR |t|))
                         (SPADLET |ISTMP#1| (QCDR |t|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET T2 (QCAR |ISTMP#2|))
                                       'T)))))
                       (BOOT-EQUAL T1 T2) (|member| T1 |badDoubles|))
                  NIL)
-                ((AND (PAIRP |t|) (EQUAL (QCAR |t|) |$QuotientField|)
+                ((AND (CONSP |t|) (EQUAL (QCAR |t|) |$QuotientField|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |t|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T)))
                       (NULL (|isPartialMode| D))
                       (|ofCategory| D '(|Field|)))
                  NIL)
                 ((BOOT-EQUAL |t| '(|Complex| (|AlgebraicNumber|))) NIL)
-                ('T (SPADLET |t| (|equiType| |t|))
+                ('T 
                  (SEQ (COND
                         ((SPADLET |vl| (|isPolynomialMode| |t|))
                          (PROGN
@@ -782,7 +780,7 @@
                            ((|isLegitimateMode| (|underDomainOf| |t|)
                                 |hasPolyMode| |polyVarList|)
                             (EXIT |t|))))
-                        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Mapping|)
+                        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Mapping|)
                               (PROGN (SPADLET |ml| (QCDR |t|)) 'T))
                          (COND
                            ((NULL |ml|) NIL)
@@ -806,13 +804,13 @@
                                          NIL))
                                        (RETURN NIL))))))
                             'T)))
-                        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Union|)
+                        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Union|)
                               (PROGN (SPADLET |ml| (QCDR |t|)) 'T))
                          (COND
                            ((AND |ml|
                                  (PROGN
                                    (SPADLET |ISTMP#1| (CAR |ml|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCAR |ISTMP#1|) '|:|))))
                             (|isLegitimateRecordOrTaggedUnion| |ml|))
                            ((NULL (PROG (G166483)
@@ -839,10 +837,10 @@
                            ((BOOT-EQUAL (|#| |ml|) (|#| (REMDUP |ml|)))
                             'T)
                            ('T NIL)))
-                        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Record|)
+                        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Record|)
                               (PROGN (SPADLET |r| (QCDR |t|)) 'T))
                          (|isLegitimateRecordOrTaggedUnion| |r|))
-                        ((AND (PAIRP |t|)
+                        ((AND (CONSP |t|)
                               (EQ (QCAR |t|) '|Enumeration|)
                               (PROGN (SPADLET |r| (QCDR |t|)) 'T))
                          (COND
@@ -878,7 +876,7 @@
 
 ;underDomainOf t ==
 ;  t = $RationalNumber => $Integer
-;  not PAIRP t => NIL
+;  not CONSP t => NIL
 ;  d := deconstructT t
 ;  1 = #d => NIL
 ;  u := getUnderModeOf(t) => u
@@ -902,7 +900,7 @@
     (RETURN
       (COND
         ((BOOT-EQUAL |t| |$RationalNumber|) |$Integer|)
-        ((NULL (PAIRP |t|)) NIL)
+        ((NULL (CONSP |t|)) NIL)
         ('T (SPADLET |d| (|deconstructT| |t|))
          (COND
            ((EQL 1 (|#| |d|)) NIL)
diff -Nru axiom-20110301a/src/interp/compiler.lisp.pamphlet axiom-20111101/src/interp/compiler.lisp.pamphlet
--- axiom-20110301a/src/interp/compiler.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/compiler.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,2812 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp compiler.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(IN-PACKAGE "BOOT" )
-
-(defvar |$NoValueMode| '|NoValueMode|)
-(defvar |$ValueMode| '|ValueMode|)
-(defvar |$globalMacroStack| nil)
-(defvar |$abbreviationStack| nil)
-
-\end{chunk}
-\subsection{compUniquely}
-\begin{chunk}{*}
-;compUniquely(x,m,e) ==
-;  $compUniquelyIfTrue: local:= true
-;  CATCH("compUniquely",comp(x,m,e))
-
-(DEFUN |compUniquely| (|x| |m| |e|)
-  (PROG (|$compUniquelyIfTrue|)
-    (DECLARE (SPECIAL |$compUniquelyIfTrue|))
-    (RETURN
-      (PROGN
-        (SPADLET |$compUniquelyIfTrue| 'T)
-        (CATCH '|compUniquely| (|comp| |x| |m| |e|))))))
-
-\end{chunk}
-\subsection{tc}
-\begin{chunk}{*}
-;tc() ==
-;  $tripleCache:= nil
-;  comp($x,$m,$f)
-
-(DEFUN |tc| ()
-  (declare (special |$tripleCache| |$x| |$m| |$f|))
-  (PROGN (SPADLET |$tripleCache| NIL) (|comp| |$x| |$m| |$f|)))
-
-\end{chunk}
-
-\subsection{convertOrCroak}
-\begin{chunk}{*}
-;convertOrCroak(T,m) ==
-;  u:= convert(T,m) => u
-;  userError ["CANNOT CONVERT: ",T.expr,"%l"," OF MODE: ",T.mode,"%l",
-;    " TO MODE: ",m,"%l"]
-
-(DEFUN |convertOrCroak| (T$ |m|)
-  (PROG (|u|)
-    (RETURN
-      (COND
-        ((SPADLET |u| (|convert| T$ |m|)) |u|)
-        ('T
-         (|userError|
-             (CONS '|CANNOT CONVERT: |
-                   (CONS (CAR T$)
-                         (CONS '|%l|
-                               (CONS '| OF MODE: |
-                                     (CONS (CADR T$)
-                                      (CONS '|%l|
-                                       (CONS '| TO MODE: |
-                                       (CONS |m| (CONS '|%l| NIL)))))))))))))))
-
-\end{chunk}
-\subsection{mkUnion}
-\begin{chunk}{*}
-;mkUnion(a,b) ==
-;  b="$" and $Rep is ["Union",:l] => b
-;  a is ["Union",:l] =>
-;    b is ["Union",:l'] => ["Union",:setUnion(l,l')]
-;    ["Union",:setUnion([b],l)]
-;  b is ["Union",:l] => ["Union",:setUnion([a],l)]
-;  ["Union",a,b]
-
-(DEFUN |mkUnion| (|a| |b|)
-  (PROG (|l'| |l|)
-  (declare (special |$Rep|))
-    (RETURN
-      (COND
-        ((AND (BOOT-EQUAL |b| '$) (PAIRP |$Rep|)
-              (EQ (QCAR |$Rep|) '|Union|)
-              (PROGN (SPADLET |l| (QCDR |$Rep|)) 'T))
-         |b|)
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) '|Union|)
-              (PROGN (SPADLET |l| (QCDR |a|)) 'T))
-         (COND
-           ((AND (PAIRP |b|) (EQ (QCAR |b|) '|Union|)
-                 (PROGN (SPADLET |l'| (QCDR |b|)) 'T))
-            (CONS '|Union| (|union| |l| |l'|)))
-           ('T (CONS '|Union| (|union| (CONS |b| NIL) |l|)))))
-        ((AND (PAIRP |b|) (EQ (QCAR |b|) '|Union|)
-              (PROGN (SPADLET |l| (QCDR |b|)) 'T))
-         (CONS '|Union| (|union| (CONS |a| NIL) |l|)))
-        ('T (CONS '|Union| (CONS |a| (CONS |b| NIL))))))))
-
-\end{chunk}
-\subsection{maxSuperType}
-\begin{chunk}{*}
-;maxSuperType(m,e) ==
-;  typ:= get(m,"SuperDomain",e) => maxSuperType(typ,e)
-;  m
-
-(DEFUN |maxSuperType| (|m| |e|)
-  (PROG (|typ|)
-    (RETURN
-      (COND
-        ((SPADLET |typ| (|get| |m| '|SuperDomain| |e|))
-         (|maxSuperType| |typ| |e|))
-        ('T |m|)))))
-
-\end{chunk}
-\subsection{hasType}
-\begin{chunk}{*}
-;hasType(x,e) ==
-;  fn get(x,"condition",e) where
-;    fn x ==
-;      null x => nil
-;      x is [["case",.,y],:.] => y
-;      fn rest x
-
-(DEFUN |hasType,fn| (|x|)
-  (PROG (|ISTMP#1| |ISTMP#2| |ISTMP#3| |y|)
-    (RETURN
-      (SEQ (IF (NULL |x|) (EXIT NIL))
-           (IF (AND (PAIRP |x|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCAR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQ (QCAR |ISTMP#1|) '|case|)
-                           (PROGN
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (PROGN
-                                    (SPADLET |ISTMP#3|
-                                     (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
-                                     (EQ (QCDR |ISTMP#3|) NIL)
-                                     (PROGN
-                                       (SPADLET |y| (QCAR |ISTMP#3|))
-                                       'T))))))))
-               (EXIT |y|))
-           (EXIT (|hasType,fn| (CDR |x|)))))))
-
-(DEFUN |hasType| (|x| |e|)
-  (|hasType,fn| (|get| |x| '|condition| |e|)))
-
-\end{chunk}
-\subsection{outputComp}
-\begin{chunk}{*}
-;outputComp(x,e) ==
-;  u:=comp(['_:_:,x,$Expression],$Expression,e) => u
-;  x is ['construct,:argl] =>
-;    [['LIST,:[([.,.,e]:=outputComp(x,e)).expr for x in argl]],$Expression,e]
-;  (v:= get(x,"value",e)) and (v.mode is ['Union,:l]) =>
-;    [['coerceUn2E,x,v.mode],$Expression,e]
-;  [x,$Expression,e]
-
-(DEFUN |outputComp| (|x| |e|)
-  (PROG (|u| |argl| |LETTMP#1| |v| |ISTMP#1| |l|)
-  (declare (special |$Expression|))
-    (RETURN
-      (SEQ (COND
-             ((SPADLET |u|
-                       (|comp| (CONS '|::|
-                                     (CONS |x|
-                                      (CONS |$Expression| NIL)))
-                               |$Expression| |e|))
-              |u|)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|construct|)
-                   (PROGN (SPADLET |argl| (QCDR |x|)) 'T))
-              (CONS (CONS 'LIST
-                          (PROG (G167017)
-                            (SPADLET G167017 NIL)
-                            (RETURN
-                              (DO ((G167025 |argl| (CDR G167025))
-                                   (|x| NIL))
-                                  ((OR (ATOM G167025)
-                                    (PROGN
-                                      (SETQ |x| (CAR G167025))
-                                      NIL))
-                                   (NREVERSE0 G167017))
-                                (SEQ (EXIT
-                                      (SETQ G167017
-                                       (CONS
-                                        (CAR
-                                         (PROGN
-                                           (SPADLET |LETTMP#1|
-                                            (|outputComp| |x| |e|))
-                                           (SPADLET |e|
-                                            (CADDR |LETTMP#1|))
-                                           |LETTMP#1|))
-                                        G167017))))))))
-                    (CONS |$Expression| (CONS |e| NIL))))
-             ((AND (SPADLET |v| (|get| |x| '|value| |e|))
-                   (PROGN
-                     (SPADLET |ISTMP#1| (CADR |v|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (EQ (QCAR |ISTMP#1|) '|Union|)
-                          (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
-              (CONS (CONS '|coerceUn2E|
-                          (CONS |x| (CONS (CADR |v|) NIL)))
-                    (CONS |$Expression| (CONS |e| NIL))))
-             ('T (CONS |x| (CONS |$Expression| (CONS |e| NIL)))))))))
-
-\end{chunk}
-\subsection{compExpressionList}
-\begin{chunk}{*}
-;compExpressionList(argl,m,e) ==
-;  Tl:= [[.,.,e]:= comp(x,$Expression,e) or return "failed" for x in argl]
-;  Tl="failed" => nil
-;  convert([["LIST",:[y.expr for y in Tl]],$Expression,e],m)
-
-(DEFUN |compExpressionList| (|argl| |m| |e|)
-  (PROG (|LETTMP#1| |Tl|)
-  (declare (special |$Expression|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |Tl|
-                      (PROG (G167221)
-                        (SPADLET G167221 NIL)
-                        (RETURN
-                          (DO ((G167229 |argl| (CDR G167229))
-                               (|x| NIL))
-                              ((OR (ATOM G167229)
-                                   (PROGN
-                                     (SETQ |x| (CAR G167229))
-                                     NIL))
-                               (NREVERSE0 G167221))
-                            (SEQ (EXIT (SETQ G167221
-                                        (CONS
-                                         (PROGN
-                                           (SPADLET |LETTMP#1|
-                                            (OR
-                                             (|comp| |x| |$Expression|
-                                              |e|)
-                                             (RETURN '|failed|)))
-                                           (SPADLET |e|
-                                            (CADDR |LETTMP#1|))
-                                           |LETTMP#1|)
-                                         G167221))))))))
-             (COND
-               ((BOOT-EQUAL |Tl| '|failed|) NIL)
-               ('T
-                (|convert|
-                    (CONS (CONS 'LIST
-                                (PROG (G167239)
-                                  (SPADLET G167239 NIL)
-                                  (RETURN
-                                    (DO
-                                     ((G167244 |Tl| (CDR G167244))
-                                      (|y| NIL))
-                                     ((OR (ATOM G167244)
-                                       (PROGN
-                                         (SETQ |y| (CAR G167244))
-                                         NIL))
-                                      (NREVERSE0 G167239))
-                                      (SEQ
-                                       (EXIT
-                                        (SETQ G167239
-                                         (CONS (CAR |y|) G167239))))))))
-                          (CONS |$Expression| (CONS |e| NIL)))
-                    |m|))))))))
-
-\end{chunk}
-\subsection{compFormPartiallyBottomUp}
-\begin{chunk}{*}
-;compFormPartiallyBottomUp(form,m,e,modemapList,partialModeList) ==
-;  mmList:= [mm for mm in modemapList | compFormMatch(mm,partialModeList)] =>
-;    compForm3(form,m,e,mmList)
-
-(DEFUN |compFormPartiallyBottomUp|
-       (|form| |m| |e| |modemapList| |partialModeList|)
-  (PROG (|mmList|)
-    (RETURN
-      (SEQ (COND
-             ((SPADLET |mmList|
-                       (PROG (G167545)
-                         (SPADLET G167545 NIL)
-                         (RETURN
-                           (DO ((G167551 |modemapList|
-                                    (CDR G167551))
-                                (|mm| NIL))
-                               ((OR (ATOM G167551)
-                                    (PROGN
-                                      (SETQ |mm| (CAR G167551))
-                                      NIL))
-                                (NREVERSE0 G167545))
-                             (SEQ (EXIT (COND
-                                          ((|compFormMatch| |mm|
-                                            |partialModeList|)
-                                           (SETQ G167545
-                                            (CONS |mm| G167545))))))))))
-              (EXIT (|compForm3| |form| |m| |e| |mmList|))))))))
-
-\end{chunk}
-\subsection{compFormMatch}
-\begin{chunk}{*}
-;compFormMatch(mm,partialModeList) ==
-;  mm is [[.,.,:argModeList],:.] and match(argModeList,partialModeList) where
-;    match(a,b) ==
-;      null b => true
-;      null first b => match(rest a,rest b)
-;      first a=first b and match(rest a,rest b)
-
-(DEFUN |compFormMatch,match| (|a| |b|)
-  (SEQ (IF (NULL |b|) (EXIT 'T))
-       (IF (NULL (CAR |b|))
-           (EXIT (|compFormMatch,match| (CDR |a|) (CDR |b|))))
-       (EXIT (AND (BOOT-EQUAL (CAR |a|) (CAR |b|))
-                  (|compFormMatch,match| (CDR |a|) (CDR |b|))))))
-
-(DEFUN |compFormMatch| (|mm| |partialModeList|)
-  (PROG (|ISTMP#1| |ISTMP#2| |argModeList|)
-    (RETURN
-      (AND (PAIRP |mm|)
-           (PROGN
-             (SPADLET |ISTMP#1| (QCAR |mm|))
-             (AND (PAIRP |ISTMP#1|)
-                  (PROGN
-                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                    (AND (PAIRP |ISTMP#2|)
-                         (PROGN
-                           (SPADLET |argModeList| (QCDR |ISTMP#2|))
-                           'T)))))
-           (|compFormMatch,match| |argModeList| |partialModeList|)))))
-
-\end{chunk}
-\subsection{compForm3}
-\begin{chunk}{*}
-;compForm3(form is [op,:argl],m,e,modemapList) ==
-;  T:=
-;    or/
-;      [compFormWithModemap(form,m,e,first (mml:= ml))
-;        for ml in tails modemapList]
-;  $compUniquelyIfTrue =>
-;    or/[compFormWithModemap(form,m,e,mm) for mm in rest mml] =>
-;      THROW("compUniquely",nil)
-;    T
-;  T
-
-(DEFUN |compForm3| (|form| |m| |e| |modemapList|)
-  (PROG (|op| |argl| |mml| T$)
-  (declare (special |$compUniquelyIfTrue|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (SPADLET T$
-                      (PROG (G167599)
-                        (SPADLET G167599 NIL)
-                        (RETURN
-                          (DO ((G167605 NIL G167599)
-                               (|ml| |modemapList| (CDR |ml|)))
-                              ((OR G167605 (ATOM |ml|)) G167599)
-                            (SEQ (EXIT (SETQ G167599
-                                        (OR G167599
-                                         (|compFormWithModemap| |form|
-                                          |m| |e|
-                                          (CAR (SPADLET |mml| |ml|)))))))))))
-             (COND
-               (|$compUniquelyIfTrue|
-                   (COND
-                     ((PROG (G167610)
-                        (SPADLET G167610 NIL)
-                        (RETURN
-                          (DO ((G167616 NIL G167610)
-                               (G167617 (CDR |mml|) (CDR G167617))
-                               (|mm| NIL))
-                              ((OR G167616 (ATOM G167617)
-                                   (PROGN
-                                     (SETQ |mm| (CAR G167617))
-                                     NIL))
-                               G167610)
-                            (SEQ (EXIT (SETQ G167610
-                                        (OR G167610
-                                         (|compFormWithModemap| |form|
-                                          |m| |e| |mm|))))))))
-                      (THROW '|compUniquely| NIL))
-                     ('T T$)))
-               ('T T$)))))))
-
-\end{chunk}
-\subsection{getFormModemaps}
-\begin{chunk}{*}
-;getFormModemaps(form is [op,:argl],e) ==
-;  op is ["elt",domain,op1] =>
-;    [x for x in getFormModemaps([op1,:argl],e) | x is [[ =domain,:.],:.]]
-;  null atom op => nil
-;  modemapList:= get(op,"modemap",e)
-;  if $insideCategoryPackageIfTrue then
-;    modemapList := [x for x in modemapList | x is [[dom,:.],:.] and dom ^= '$]
-;  if op="elt"
-;     then modemapList:= eltModemapFilter(LAST argl,modemapList,e) or return nil
-;     else
-;      if op="setelt" then modemapList:=
-;        seteltModemapFilter(CADR argl,modemapList,e) or return nil
-;  nargs:= #argl
-;  finalModemapList:= [mm for (mm:= [[.,.,:sig],:.]) in modemapList | #sig=nargs]
-;  modemapList and null finalModemapList =>
-;    stackMessage ["no modemap for","%b",op,"%d","with ",nargs," arguments"]
-;  finalModemapList
-
-(DEFUN |getFormModemaps| (|form| |e|)
-  (PROG (|op| |argl| |domain| |ISTMP#2| |op1| |ISTMP#1| |dom|
-              |modemapList| |nargs| |sig| |finalModemapList|)
-  (declare (special |$insideCategoryPackageIfTrue|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (COND
-               ((AND (PAIRP |op|) (EQ (QCAR |op|) '|elt|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |op|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |domain| (QCAR |ISTMP#1|))
-                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (EQ (QCDR |ISTMP#2|) NIL)
-                                   (PROGN
-                                     (SPADLET |op1| (QCAR |ISTMP#2|))
-                                     'T))))))
-                (PROG (G167686)
-                  (SPADLET G167686 NIL)
-                  (RETURN
-                    (DO ((G167692
-                             (|getFormModemaps| (CONS |op1| |argl|)
-                                 |e|)
-                             (CDR G167692))
-                         (|x| NIL))
-                        ((OR (ATOM G167692)
-                             (PROGN (SETQ |x| (CAR G167692)) NIL))
-                         (NREVERSE0 G167686))
-                      (SEQ (EXIT (COND
-                                   ((AND (PAIRP |x|)
-                                     (PROGN
-                                       (SPADLET |ISTMP#1| (QCAR |x|))
-                                       (AND (PAIRP |ISTMP#1|)
-                                        (EQUAL (QCAR |ISTMP#1|)
-                                         |domain|))))
-                                    (SETQ G167686
-                                     (CONS |x| G167686))))))))))
-               ((NULL (ATOM |op|)) NIL)
-               ('T (SPADLET |modemapList| (|get| |op| '|modemap| |e|))
-                (COND
-                  (|$insideCategoryPackageIfTrue|
-                      (SPADLET |modemapList|
-                               (PROG (G167703)
-                                 (SPADLET G167703 NIL)
-                                 (RETURN
-                                   (DO
-                                    ((G167709 |modemapList|
-                                      (CDR G167709))
-                                     (|x| NIL))
-                                    ((OR (ATOM G167709)
-                                      (PROGN
-                                        (SETQ |x| (CAR G167709))
-                                        NIL))
-                                     (NREVERSE0 G167703))
-                                     (SEQ
-                                      (EXIT
-                                       (COND
-                                         ((AND (PAIRP |x|)
-                                           (PROGN
-                                             (SPADLET |ISTMP#1|
-                                              (QCAR |x|))
-                                             (AND (PAIRP |ISTMP#1|)
-                                              (PROGN
-                                                (SPADLET |dom|
-                                                 (QCAR |ISTMP#1|))
-                                                'T)))
-                                           (NEQUAL |dom| '$))
-                                          (SETQ G167703
-                                           (CONS |x| G167703))))))))))))
-                (COND
-                  ((BOOT-EQUAL |op| '|elt|)
-                   (SPADLET |modemapList|
-                            (OR (|eltModemapFilter| (|last| |argl|)
-                                    |modemapList| |e|)
-                                (RETURN NIL))))
-                  ((BOOT-EQUAL |op| '|setelt|)
-                   (SPADLET |modemapList|
-                            (OR (|seteltModemapFilter| (CADR |argl|)
-                                    |modemapList| |e|)
-                                (RETURN NIL))))
-                  ('T NIL))
-                (SPADLET |nargs| (|#| |argl|))
-                (SPADLET |finalModemapList|
-                         (PROG (G167721)
-                           (SPADLET G167721 NIL)
-                           (RETURN
-                             (DO ((G167728 |modemapList|
-                                      (CDR G167728))
-                                  (|mm| NIL))
-                                 ((OR (ATOM G167728)
-                                      (PROGN
-                                        (SETQ |mm| (CAR G167728))
-                                        NIL)
-                                      (PROGN
-                                        (PROGN
-                                          (SPADLET |sig| (CDDAR |mm|))
-                                          |mm|)
-                                        NIL))
-                                  (NREVERSE0 G167721))
-                               (SEQ (EXIT
-                                     (COND
-                                       ((BOOT-EQUAL (|#| |sig|)
-                                         |nargs|)
-                                        (SETQ G167721
-                                         (CONS |mm| G167721))))))))))
-                (COND
-                  ((AND |modemapList| (NULL |finalModemapList|))
-                   (|stackMessage|
-                       (CONS '|no modemap for|
-                             (CONS '|%b|
-                                   (CONS |op|
-                                    (CONS '|%d|
-                                     (CONS '|with |
-                                      (CONS |nargs|
-                                       (CONS '| arguments| NIL)))))))))
-                  ('T |finalModemapList|)))))))))
-
-\end{chunk}
-\subsection{getConstructorFormOfMode}
-\begin{chunk}{*}
-;getConstructorFormOfMode(m,e) ==
-;  isConstructorForm m => m
-;  if m="$" then m:= "Rep"
-;  atom m and get(m,"value",e) is [v,:.] =>
-;    isConstructorForm v => v
-
-(DEFUN |getConstructorFormOfMode| (|m| |e|)
-  (PROG (|ISTMP#1| |v|)
-    (RETURN
-      (SEQ (COND
-             ((|isConstructorForm| |m|) |m|)
-             ('T (COND ((BOOT-EQUAL |m| '$) (SPADLET |m| '|Rep|)))
-              (SEQ (COND
-                     ((AND (ATOM |m|)
-                           (PROGN
-                             (SPADLET |ISTMP#1|
-                                      (|get| |m| '|value| |e|))
-                             (AND (PAIRP |ISTMP#1|)
-                                  (PROGN
-                                    (SPADLET |v| (QCAR |ISTMP#1|))
-                                    'T))))
-                      (COND ((|isConstructorForm| |v|) (EXIT |v|))))))))))))
-
-\end{chunk}
-\subsection{getConstructorMode}
-\begin{chunk}{*}
-;getConstructorMode(x,e) ==
-;  atom x => (u:= getmode(x,e) or return nil; getConstructorFormOfMode(u,e))
-;  x is ["elt",y,a] =>
-;    u:= getConstructorMode(y,e)
-;    u is ["Vector",R] or u is ["List",R] =>
-;      isConstructorForm R => R
-;    u is ["Record",:l] =>
-;      (or/[p is [., =a,R] for p in l]) and isConstructorForm R => R
-
-(DEFUN |getConstructorMode| (|x| |e|)
-  (PROG (|y| |a| |u| |l| |ISTMP#1| |ISTMP#2| R)
-    (RETURN
-      (SEQ (COND
-             ((ATOM |x|)
-              (SPADLET |u| (OR (|getmode| |x| |e|) (RETURN NIL)))
-              (|getConstructorFormOfMode| |u| |e|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|elt|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |y| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |a| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (SPADLET |u| (|getConstructorMode| |y| |e|))
-              (SEQ (COND
-                     ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) '|Vector|)
-                               (PROGN
-                                 (SPADLET |ISTMP#1| (QCDR |u|))
-                                 (AND (PAIRP |ISTMP#1|)
-                                      (EQ (QCDR |ISTMP#1|) NIL)
-                                      (PROGN
-                                        (SPADLET R (QCAR |ISTMP#1|))
-                                        'T))))
-                          (AND (PAIRP |u|) (EQ (QCAR |u|) '|List|)
-                               (PROGN
-                                 (SPADLET |ISTMP#1| (QCDR |u|))
-                                 (AND (PAIRP |ISTMP#1|)
-                                      (EQ (QCDR |ISTMP#1|) NIL)
-                                      (PROGN
-                                        (SPADLET R (QCAR |ISTMP#1|))
-                                        'T)))))
-                      (COND ((|isConstructorForm| R) (EXIT R))))
-                     ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Record|)
-                           (PROGN (SPADLET |l| (QCDR |u|)) 'T))
-                      (COND
-                        ((AND (PROG (G167805)
-                                (SPADLET G167805 NIL)
-                                (RETURN
-                                  (DO ((G167817 NIL G167805)
-                                       (G167818 |l| (CDR G167818))
-                                       (|p| NIL))
-                                      ((OR G167817 (ATOM G167818)
-                                        (PROGN
-                                          (SETQ |p| (CAR G167818))
-                                          NIL))
-                                       G167805)
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ G167805
-                                       (OR G167805
-                                        (AND (PAIRP |p|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (QCDR |p|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (EQUAL (QCAR |ISTMP#1|)
-                                             |a|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#2|
-                                               (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
-                                               (EQ (QCDR |ISTMP#2|)
-                                                NIL)
-                                               (PROGN
-                                                 (SPADLET R
-                                                  (QCAR |ISTMP#2|))
-                                                 'T)))))))))))))
-                              (|isConstructorForm| R))
-                         (EXIT R))))))))))))
-
-\end{chunk}
-\subsection{isConstructorForm}
-\begin{chunk}{*}
-;isConstructorForm u == u is [name,:.] and MEMBER(name,'(Record Vector List))
-
-(DEFUN |isConstructorForm| (|u|)
-  (PROG (|name|)
-    (RETURN
-      (AND (PAIRP |u|) (PROGN (SPADLET |name| (QCAR |u|)) 'T)
-           (|member| |name| '(|Record| |Vector| |List|))))))
-
-\end{chunk}
-\subsection{eltModemapFilter}
-\begin{chunk}{*}
-;eltModemapFilter(name,mmList,e) ==
-;  isConstantId(name,e) =>
-;    l:= [mm for mm in mmList | mm is [[.,.,.,sel,:.],:.] and sel=name] => l
-;            --there are elts with extra parameters
-;    stackMessage ["selector variable: ",name," is undeclared and unbound"]
-;    nil
-;  mmList
-
-(DEFUN |eltModemapFilter| (|name| |mmList| |e|)
-  (PROG (|ISTMP#1| |ISTMP#2| |ISTMP#3| |ISTMP#4| |sel| |l|)
-    (RETURN
-      (SEQ (COND
-             ((|isConstantId| |name| |e|)
-              (COND
-                ((SPADLET |l|
-                          (PROG (G167882)
-                            (SPADLET G167882 NIL)
-                            (RETURN
-                              (DO ((G167888 |mmList| (CDR G167888))
-                                   (|mm| NIL))
-                                  ((OR (ATOM G167888)
-                                    (PROGN
-                                      (SETQ |mm| (CAR G167888))
-                                      NIL))
-                                   (NREVERSE0 G167882))
-                                (SEQ (EXIT
-                                      (COND
-                                        ((AND (PAIRP |mm|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#1|
-                                             (QCAR |mm|))
-                                            (AND (PAIRP |ISTMP#1|)
-                                             (PROGN
-                                               (SPADLET |ISTMP#2|
-                                                (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
-                                                (PROGN
-                                                  (SPADLET |ISTMP#3|
-                                                   (QCDR |ISTMP#2|))
-                                                  (AND
-                                                   (PAIRP |ISTMP#3|)
-                                                   (PROGN
-                                                     (SPADLET |ISTMP#4|
-                                                      (QCDR |ISTMP#3|))
-                                                     (AND
-                                                      (PAIRP |ISTMP#4|)
-                                                      (PROGN
-                                                        (SPADLET |sel|
-                                                         (QCAR
-                                                          |ISTMP#4|))
-                                                        'T)))))))))
-                                          (BOOT-EQUAL |sel| |name|))
-                                         (SETQ G167882
-                                          (CONS |mm| G167882))))))))))
-                 |l|)
-                ('T
-                 (|stackMessage|
-                     (CONS '|selector variable: |
-                           (CONS |name|
-                                 (CONS '| is undeclared and unbound|
-                                       NIL))))
-                 NIL)))
-             ('T |mmList|))))))
-
-\end{chunk}
-\subsection{seteltModemapFilter}
-\begin{chunk}{*}
-;seteltModemapFilter(name,mmList,e) ==
-;  isConstantId(name,e) =>
-;    l:= [mm for (mm:= [[.,.,.,sel,:.],:.]) in mmList | sel=name] => l
-;            --there are setelts with extra parameters
-;    stackMessage ["selector variable: ",name," is undeclared and unbound"]
-;    nil
-;  mmList
-
-(DEFUN |seteltModemapFilter| (|name| |mmList| |e|)
-  (PROG (|sel| |l|)
-    (RETURN
-      (SEQ (COND
-             ((|isConstantId| |name| |e|)
-              (COND
-                ((SPADLET |l|
-                          (PROG (G167914)
-                            (SPADLET G167914 NIL)
-                            (RETURN
-                              (DO ((G167921 |mmList| (CDR G167921))
-                                   (|mm| NIL))
-                                  ((OR (ATOM G167921)
-                                    (PROGN
-                                      (SETQ |mm| (CAR G167921))
-                                      NIL)
-                                    (PROGN
-                                      (PROGN
-                                        (SPADLET |sel|
-                                         (CAR (CDDDAR |mm|)))
-                                        |mm|)
-                                      NIL))
-                                   (NREVERSE0 G167914))
-                                (SEQ (EXIT
-                                      (COND
-                                        ((BOOT-EQUAL |sel| |name|)
-                                         (SETQ G167914
-                                          (CONS |mm| G167914))))))))))
-                 |l|)
-                ('T
-                 (|stackMessage|
-                     (CONS '|selector variable: |
-                           (CONS |name|
-                                 (CONS '| is undeclared and unbound|
-                                       NIL))))
-                 NIL)))
-             ('T |mmList|))))))
-
-\end{chunk}
-\subsection{substituteIntoFunctorModemap}
-\begin{chunk}{*}
-;substituteIntoFunctorModemap(argl,modemap is [[dc,:sig],:.],e) ==
-;  #dc^=#sig =>
-;    keyedSystemError("S2GE0016",['"substituteIntoFunctorModemap",
-;      '"Incompatible maps"])
-;  #argl=#rest sig =>
-;                        --here, we actually have a functor form
-;    sig:= EQSUBSTLIST(argl,rest dc,sig)
-;      --make new modemap, subst. actual for formal parametersinto modemap
-;    Tl:= [[.,.,e]:= compOrCroak(a,m,e) for a in argl for m in rest sig]
-;    substitutionList:= [[x,:T.expr] for x in rest dc for T in Tl]
-;    [SUBLIS(substitutionList,modemap),e]
-;  nil
-
-(DEFUN |substituteIntoFunctorModemap| (|argl| |modemap| |e|)
-  (PROG (|dc| |sig| |LETTMP#1| |Tl| |substitutionList|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |dc| (CAAR |modemap|))
-             (SPADLET |sig| (CDAR |modemap|))
-             (COND
-               ((NEQUAL (|#| |dc|) (|#| |sig|))
-                (|keyedSystemError| 'S2GE0016
-                    (CONS "substituteIntoFunctorModemap"
-                          (CONS "Incompatible maps" NIL))))
-               ((BOOT-EQUAL (|#| |argl|) (|#| (CDR |sig|)))
-                (SPADLET |sig| (EQSUBSTLIST |argl| (CDR |dc|) |sig|))
-                (SPADLET |Tl|
-                         (PROG (G167960)
-                           (SPADLET G167960 NIL)
-                           (RETURN
-                             (DO ((G167969 |argl| (CDR G167969))
-                                  (|a| NIL)
-                                  (G167970 (CDR |sig|)
-                                      (CDR G167970))
-                                  (|m| NIL))
-                                 ((OR (ATOM G167969)
-                                      (PROGN
-                                        (SETQ |a| (CAR G167969))
-                                        NIL)
-                                      (ATOM G167970)
-                                      (PROGN
-                                        (SETQ |m| (CAR G167970))
-                                        NIL))
-                                  (NREVERSE0 G167960))
-                               (SEQ (EXIT
-                                     (SETQ G167960
-                                      (CONS
-                                       (PROGN
-                                         (SPADLET |LETTMP#1|
-                                          (|compOrCroak| |a| |m| |e|))
-                                         (SPADLET |e|
-                                          (CADDR |LETTMP#1|))
-                                         |LETTMP#1|)
-                                       G167960))))))))
-                (SPADLET |substitutionList|
-                         (PROG (G167984)
-                           (SPADLET G167984 NIL)
-                           (RETURN
-                             (DO ((G167990 (CDR |dc|)
-                                      (CDR G167990))
-                                  (|x| NIL)
-                                  (G167991 |Tl| (CDR G167991))
-                                  (T$ NIL))
-                                 ((OR (ATOM G167990)
-                                      (PROGN
-                                        (SETQ |x| (CAR G167990))
-                                        NIL)
-                                      (ATOM G167991)
-                                      (PROGN
-                                        (SETQ T$ (CAR G167991))
-                                        NIL))
-                                  (NREVERSE0 G167984))
-                               (SEQ (EXIT
-                                     (SETQ G167984
-                                      (CONS (CONS |x| (CAR T$))
-                                       G167984))))))))
-                (CONS (SUBLIS |substitutionList| |modemap|)
-                      (CONS |e| NIL)))
-               ('T NIL)))))))
-
-\end{chunk}
-
-\subsection{assignError}
-\begin{chunk}{*}
-;assignError(val,m',form,m) ==
-;  message:=
-;    val =>
-;      ["CANNOT ASSIGN: ",val,"%l","   OF MODE: ",m',"%l","   TO: ",form,"%l",
-;        "   OF MODE: ",m]
-;    ["CANNOT ASSIGN: ",val,"%l","   TO: ",form,"%l","   OF MODE: ",m]
-;  stackMessage message
-
-(DEFUN |assignError| (|val| |m'| |form| |m|)
-  (PROG (|message|)
-    (RETURN
-      (PROGN
-        (SPADLET |message|
-                 (COND
-                   (|val| (CONS '|CANNOT ASSIGN: |
-                                (CONS |val|
-                                      (CONS '|%l|
-                                       (CONS '|   OF MODE: |
-                                        (CONS |m'|
-                                         (CONS '|%l|
-                                          (CONS '|   TO: |
-                                           (CONS |form|
-                                            (CONS '|%l|
-                                             (CONS '|   OF MODE: |
-                                              (CONS |m| NIL))))))))))))
-                   ('T
-                    (CONS '|CANNOT ASSIGN: |
-                          (CONS |val|
-                                (CONS '|%l|
-                                      (CONS '|   TO: |
-                                       (CONS |form|
-                                        (CONS '|%l|
-                                         (CONS '|   OF MODE: |
-                                          (CONS |m| NIL)))))))))))
-        (|stackMessage| |message|)))))
-
-\end{chunk}
-\subsection{setqMultiple}
-\begin{chunk}{*}
-;setqMultiple(nameList,val,m,e) ==
-;  val is ["CONS",:.] and m=$NoValueMode =>
-;    setqMultipleExplicit(nameList,uncons val,m,e)
-;  val is ["Tuple",:l] and m=$NoValueMode => setqMultipleExplicit(nameList,l,m,e)
-;  1 --create a gensym, %add to local environment, compile and assign rhs
-;  g:= genVariable()
-;  e:= addBinding(g,nil,e)
-;  T:= [.,m1,.]:= compSetq1(g,val,$EmptyMode,e) or return nil
-;  e:= put(g,"mode",m1,e)
-;  [x,m',e]:= convert(T,m) or return nil
-;  1.1 --exit if result is a list
-;  m1 is ["List",D] =>
-;    for y in nameList repeat e:= put(y,"value",[genSomeVariable(),D,$noEnv],e)
-;    convert([["PROGN",x,["LET",nameList,g],g],m',e],m)
-;  2 --verify that the #nameList = number of parts of right-hand-side
-;  selectorModePairs:=
-;                                                --list of modes
-;    decompose(m1,#nameList,e) or return nil where
-;      decompose(t,length,e) ==
-;        t is ["Record",:l] => [[name,:mode] for [":",name,mode] in l]
-;        comp(t,$EmptyMode,e) is [.,["RecordCategory",:l],.] =>
-;          [[name,:mode] for [":",name,mode] in l]
-;        stackMessage ["no multiple assigns to mode: ",t]
-;  #nameList^=#selectorModePairs =>
-;    stackMessage [val," must decompose into ",#nameList," components"]
-;  3 --generate code; return
-;  assignList:=
-;    [([.,.,e]:= compSetq1(x,["elt",g,y],z,e) or return "failed").expr
-;      for x in nameList for [y,:z] in selectorModePairs]
-;  if assignList="failed" then NIL
-;  else [MKPROGN [x,:assignList,g],m',e]
-
-(DEFUN |setqMultiple,decompose| (|t| |length| |e|)
-  (declare (ignore |length|))
-  (PROG (|ISTMP#1| |ISTMP#2| |ISTMP#3| |l| |ISTMP#4| |name| |mode|)
-  (declare (special |$EmptyMode|))
-    (RETURN
-      (SEQ (IF (AND (PAIRP |t|) (EQ (QCAR |t|) '|Record|)
-                    (PROGN (SPADLET |l| (QCDR |t|)) 'T))
-               (EXIT (PROG (G168310)
-                       (SPADLET G168310 NIL)
-                       (RETURN
-                         (DO ((G168316 |l| (CDR G168316))
-                              (G168272 NIL))
-                             ((OR (ATOM G168316)
-                                  (PROGN
-                                    (SETQ G168272 (CAR G168316))
-                                    NIL)
-                                  (PROGN
-                                    (PROGN
-                                      (SPADLET |name| (CADR G168272))
-                                      (SPADLET |mode|
-                                       (CADDR G168272))
-                                      G168272)
-                                    NIL))
-                              (NREVERSE0 G168310))
-                           (SEQ (EXIT (SETQ G168310
-                                       (CONS (CONS |name| |mode|)
-                                        G168310)))))))))
-           (IF (PROGN
-                 (SPADLET |ISTMP#1| (|comp| |t| |$EmptyMode| |e|))
-                 (AND (PAIRP |ISTMP#1|)
-                      (PROGN
-                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                        (AND (PAIRP |ISTMP#2|)
-                             (PROGN
-                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                               (AND (PAIRP |ISTMP#3|)
-                                    (EQ (QCAR |ISTMP#3|)
-                                     '|RecordCategory|)
-                                    (PROGN
-                                      (SPADLET |l| (QCDR |ISTMP#3|))
-                                      'T)))
-                             (PROGN
-                               (SPADLET |ISTMP#4| (QCDR |ISTMP#2|))
-                               (AND (PAIRP |ISTMP#4|)
-                                    (EQ (QCDR |ISTMP#4|) NIL)))))))
-               (EXIT (PROG (G168328)
-                       (SPADLET G168328 NIL)
-                       (RETURN
-                         (DO ((G168334 |l| (CDR G168334))
-                              (G168300 NIL))
-                             ((OR (ATOM G168334)
-                                  (PROGN
-                                    (SETQ G168300 (CAR G168334))
-                                    NIL)
-                                  (PROGN
-                                    (PROGN
-                                      (SPADLET |name| (CADR G168300))
-                                      (SPADLET |mode|
-                                       (CADDR G168300))
-                                      G168300)
-                                    NIL))
-                              (NREVERSE0 G168328))
-                           (SEQ (EXIT (SETQ G168328
-                                       (CONS (CONS |name| |mode|)
-                                        G168328)))))))))
-           (EXIT (|stackMessage|
-                     (CONS '|no multiple assigns to mode: |
-                           (CONS |t| NIL))))))))
-
-
-(DEFUN |setqMultiple| (|nameList| |val| |m| |e|)
-  (PROG (|l| |g| |m1| T$ |x| |m'| |ISTMP#1| D |selectorModePairs| |y|
-             |z| |LETTMP#1| |assignList|)
-  (declare (special |$noEnv| |$EmptyMode| |$NoValueMode|))
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |val|) (EQ (QCAR |val|) 'CONS)
-                   (BOOT-EQUAL |m| |$NoValueMode|))
-              (|setqMultipleExplicit| |nameList| (|uncons| |val|) |m|
-                  |e|))
-             ((AND (PAIRP |val|) (EQ (QCAR |val|) '|@Tuple|)
-                   (PROGN (SPADLET |l| (QCDR |val|)) 'T)
-                   (BOOT-EQUAL |m| |$NoValueMode|))
-              (|setqMultipleExplicit| |nameList| |l| |m| |e|))
-             ('T (SPADLET |g| (|genVariable|))
-              (SPADLET |e| (|addBinding| |g| NIL |e|))
-              (SPADLET T$
-                       (PROGN
-                         (SPADLET |LETTMP#1|
-                                  (OR (|compSetq1| |g| |val|
-                                       |$EmptyMode| |e|)
-                                      (RETURN NIL)))
-                         (SPADLET |m1| (CADR |LETTMP#1|))
-                         |LETTMP#1|))
-              (SPADLET |e| (|put| |g| '|mode| |m1| |e|))
-              (SPADLET |LETTMP#1| (OR (|convert| T$ |m|) (RETURN NIL)))
-              (SPADLET |x| (CAR |LETTMP#1|))
-              (SPADLET |m'| (CADR |LETTMP#1|))
-              (SPADLET |e| (CADDR |LETTMP#1|))
-              (COND
-                ((AND (PAIRP |m1|) (EQ (QCAR |m1|) '|List|)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |m1|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (EQ (QCDR |ISTMP#1|) NIL)
-                             (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
-                 (DO ((G168370 |nameList| (CDR G168370)) (|y| NIL))
-                     ((OR (ATOM G168370)
-                          (PROGN (SETQ |y| (CAR G168370)) NIL))
-                      NIL)
-                   (SEQ (EXIT (SPADLET |e|
-                                       (|put| |y| '|value|
-                                        (CONS (|genSomeVariable|)
-                                         (CONS D (CONS |$noEnv| NIL)))
-                                        |e|)))))
-                 (|convert|
-                     (CONS (CONS 'PROGN
-                                 (CONS |x|
-                                       (CONS
-                                        (CONS 'LET
-                                         (CONS |nameList|
-                                          (CONS |g| NIL)))
-                                        (CONS |g| NIL))))
-                           (CONS |m'| (CONS |e| NIL)))
-                     |m|))
-                ('T
-                 (SPADLET |selectorModePairs|
-                          (OR (|setqMultiple,decompose| |m1|
-                                  (|#| |nameList|) |e|)
-                              (RETURN NIL)))
-                 (COND
-                   ((NEQUAL (|#| |nameList|) (|#| |selectorModePairs|))
-                    (|stackMessage|
-                        (CONS |val|
-                              (CONS '| must decompose into |
-                                    (CONS (|#| |nameList|)
-                                     (CONS '| components| NIL))))))
-                   ('T
-                    (SPADLET |assignList|
-                             (PROG (G168385)
-                               (SPADLET G168385 NIL)
-                               (RETURN
-                                 (DO ((G168395 |nameList|
-                                       (CDR G168395))
-                                      (|x| NIL)
-                                      (G168396 |selectorModePairs|
-                                       (CDR G168396))
-                                      (G168362 NIL))
-                                     ((OR (ATOM G168395)
-                                       (PROGN
-                                         (SETQ |x| (CAR G168395))
-                                         NIL)
-                                       (ATOM G168396)
-                                       (PROGN
-                                         (SETQ G168362
-                                          (CAR G168396))
-                                         NIL)
-                                       (PROGN
-                                         (PROGN
-                                           (SPADLET |y|
-                                            (CAR G168362))
-                                           (SPADLET |z|
-                                            (CDR G168362))
-                                           G168362)
-                                         NIL))
-                                      (NREVERSE0 G168385))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G168385
-                                      (CONS
-                                       (CAR
-                                        (PROGN
-                                          (SPADLET |LETTMP#1|
-                                           (OR
-                                            (|compSetq1| |x|
-                                             (CONS '|elt|
-                                              (CONS |g| (CONS |y| NIL)))
-                                             |z| |e|)
-                                            (RETURN '|failed|)))
-                                          (SPADLET |e|
-                                           (CADDR |LETTMP#1|))
-                                          |LETTMP#1|))
-                                       G168385))))))))
-                    (COND
-                      ((BOOT-EQUAL |assignList| '|failed|) NIL)
-                      ('T
-                       (CONS (MKPROGN (CONS |x|
-                                       (APPEND |assignList|
-                                        (CONS |g| NIL))))
-                             (CONS |m'| (CONS |e| NIL)))))))))))))))
-
-\end{chunk}
-\subsection{setqMultipleExplicit}
-\begin{chunk}{*}
-;setqMultipleExplicit(nameList,valList,m,e) ==
-;  #nameList^=#valList =>
-;    stackMessage ["Multiple assignment error; # of items in: ",nameList,
-;      "must = # in: ",valList]
-;  gensymList:= [genVariable() for name in nameList]
-;  assignList:=
-;             --should be fixed to declare genVar when possible
-;    [[.,.,e]:= compSetq1(g,val,$EmptyMode,e) or return "failed"
-;      for g in gensymList for val in valList]
-;  assignList="failed" => nil
-;  reAssignList:=
-;    [[.,.,e]:= compSetq1(name,g,$EmptyMode,e) or return "failed"
-;      for g in gensymList for name in nameList]
-;  reAssignList="failed" => nil
-;  [["PROGN",:[T.expr for T in assignList],:[T.expr for T in reAssignList]],
-;    $NoValueMode, (LAST reAssignList).env]
-
-(DEFUN |setqMultipleExplicit| (|nameList| |valList| |m| |e|)
-  (declare (special |m|))
-  (PROG (|gensymList| |assignList| |LETTMP#1| |reAssignList|)
-  (declare (special |$NoValueMode| |$EmptyMode|))
-    (RETURN
-      (SEQ (COND
-             ((NEQUAL (|#| |nameList|) (|#| |valList|))
-              (|stackMessage|
-                  (CONS '|Multiple assignment error; # of items in: |
-                        (CONS |nameList|
-                              (CONS '|must = # in: |
-                                    (CONS |valList| NIL))))))
-             ('T
-              (SPADLET |gensymList|
-                       (PROG (G168445)
-                         (SPADLET G168445 NIL)
-                         (RETURN
-                           (DO ((G168450 |nameList| (CDR G168450))
-                                (|name| NIL))
-                               ((OR (ATOM G168450)
-                                    (PROGN
-                                      (SETQ |name| (CAR G168450))
-                                      NIL))
-                                (NREVERSE0 G168445))
-                             (SEQ (EXIT (SETQ G168445
-                                         (CONS (|genVariable|)
-                                          G168445))))))))
-              (SPADLET |assignList|
-                       (PROG (G168464)
-                         (SPADLET G168464 NIL)
-                         (RETURN
-                           (DO ((G168473 |gensymList|
-                                    (CDR G168473))
-                                (|g| NIL)
-                                (G168474 |valList| (CDR G168474))
-                                (|val| NIL))
-                               ((OR (ATOM G168473)
-                                    (PROGN
-                                      (SETQ |g| (CAR G168473))
-                                      NIL)
-                                    (ATOM G168474)
-                                    (PROGN
-                                      (SETQ |val| (CAR G168474))
-                                      NIL))
-                                (NREVERSE0 G168464))
-                             (SEQ (EXIT (SETQ G168464
-                                         (CONS
-                                          (PROGN
-                                            (SPADLET |LETTMP#1|
-                                             (OR
-                                              (|compSetq1| |g| |val|
-                                               |$EmptyMode| |e|)
-                                              (RETURN '|failed|)))
-                                            (SPADLET |e|
-                                             (CADDR |LETTMP#1|))
-                                            |LETTMP#1|)
-                                          G168464))))))))
-              (COND
-                ((BOOT-EQUAL |assignList| '|failed|) NIL)
-                ('T
-                 (SPADLET |reAssignList|
-                          (PROG (G168491)
-                            (SPADLET G168491 NIL)
-                            (RETURN
-                              (DO ((G168500 |gensymList|
-                                    (CDR G168500))
-                                   (|g| NIL)
-                                   (G168501 |nameList|
-                                    (CDR G168501))
-                                   (|name| NIL))
-                                  ((OR (ATOM G168500)
-                                    (PROGN
-                                      (SETQ |g| (CAR G168500))
-                                      NIL)
-                                    (ATOM G168501)
-                                    (PROGN
-                                      (SETQ |name| (CAR G168501))
-                                      NIL))
-                                   (NREVERSE0 G168491))
-                                (SEQ (EXIT
-                                      (SETQ G168491
-                                       (CONS
-                                        (PROGN
-                                          (SPADLET |LETTMP#1|
-                                           (OR
-                                            (|compSetq1| |name| |g|
-                                             |$EmptyMode| |e|)
-                                            (RETURN '|failed|)))
-                                          (SPADLET |e|
-                                           (CADDR |LETTMP#1|))
-                                          |LETTMP#1|)
-                                        G168491))))))))
-                 (COND
-                   ((BOOT-EQUAL |reAssignList| '|failed|) NIL)
-                   ('T
-                    (CONS (CONS 'PROGN
-                                (APPEND (PROG (G168514)
-                                          (SPADLET G168514 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((G168519 |assignList|
-                                               (CDR G168519))
-                                              (T$ NIL))
-                                             ((OR (ATOM G168519)
-                                               (PROGN
-                                                 (SETQ T$
-                                                  (CAR G168519))
-                                                 NIL))
-                                              (NREVERSE0 G168514))
-                                              (SEQ
-                                               (EXIT
-                                                (SETQ G168514
-                                                 (CONS (CAR T$)
-                                                  G168514)))))))
-                                        (PROG (G168529)
-                                          (SPADLET G168529 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((G168534 |reAssignList|
-                                               (CDR G168534))
-                                              (T$ NIL))
-                                             ((OR (ATOM G168534)
-                                               (PROGN
-                                                 (SETQ T$
-                                                  (CAR G168534))
-                                                 NIL))
-                                              (NREVERSE0 G168529))
-                                              (SEQ
-                                               (EXIT
-                                                (SETQ G168529
-                                                 (CONS (CAR T$)
-                                                  G168529)))))))))
-                          (CONS |$NoValueMode|
-                                (CONS (CADDR (|last| |reAssignList|))
-                                      NIL)))))))))))))
-
-\end{chunk}
-\subsection{replaceExitEtc}
-\begin{chunk}{*}
-;replaceExitEtc(x,tag,opFlag,opMode) ==
-;  (fn(x,tag,opFlag,opMode); x) where
-;    fn(x,tag,opFlag,opMode) ==
-;      atom x => nil
-;      x is ["QUOTE",:.] => nil
-;      x is [ =opFlag,n,t] =>
-;        rplac(CAADDR x,replaceExitEtc(CAADDR x,tag,opFlag,opMode))
-;        n=0 =>
-;          $finalEnv:=
-;                  --bound in compSeq1 and compDefineCapsuleFunction
-;            $finalEnv => intersectionEnvironment($finalEnv,t.env)
-;            t.env
-;          rplac(first x,"THROW")
-;          rplac(CADR x,tag)
-;          rplac(CADDR x,(convertOrCroak(t,opMode)).expr)
-;        true => rplac(CADR x,CADR x-1)
-;      x is [key,n,t] and MEMQ(key,'(TAGGEDreturn TAGGEDexit)) =>
-;        rplac(first t,replaceExitEtc(first t,tag,opFlag,opMode))
-;      replaceExitEtc(first x,tag,opFlag,opMode)
-;      replaceExitEtc(rest x,tag,opFlag,opMode)
-
-(DEFUN |replaceExitEtc,fn| (|x| |tag| |opFlag| |opMode|)
-  (PROG (|key| |ISTMP#1| |n| |ISTMP#2| |t|)
-  (declare (special |$finalEnv|))
-    (RETURN
-      (SEQ (IF (ATOM |x|) (EXIT NIL))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)) (EXIT NIL))
-           (IF (AND (PAIRP |x|) (EQUAL (QCAR |x|) |opFlag|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |n| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |t| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (SEQ (|rplac| (CAADDR |x|)
-                                   (|replaceExitEtc| (CAADDR |x|) |tag|
-                                    |opFlag| |opMode|))
-                          (IF (EQL |n| 0)
-                              (EXIT (SEQ
-                                     (SPADLET |$finalEnv|
-                                      (SEQ
-                                       (IF |$finalEnv|
-                                        (EXIT
-                                         (|intersectionEnvironment|
-                                          |$finalEnv| (CADDR |t|))))
-                                       (EXIT (CADDR |t|))))
-                                     (|rplac| (CAR |x|) 'THROW)
-                                     (|rplac| (CADR |x|) |tag|)
-                                     (EXIT
-                                      (|rplac| (CADDR |x|)
-                                       (CAR
-                                        (|convertOrCroak| |t| |opMode|)))))))
-                          (EXIT (IF 'T
-                                    (EXIT
-                                     (|rplac| (CADR |x|)
-                                      (SPADDIFFERENCE (CADR |x|) 1))))))))
-           (IF (AND (AND (PAIRP |x|)
-                         (PROGN
-                           (SPADLET |key| (QCAR |x|))
-                           (SPADLET |ISTMP#1| (QCDR |x|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |n| (QCAR |ISTMP#1|))
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCDR |ISTMP#2|) NIL)
-                                       (PROGN
-                                         (SPADLET |t| (QCAR |ISTMP#2|))
-                                         'T))))))
-                    (member |key| '(|TAGGEDreturn| |TAGGEDexit|)))
-               (EXIT (|rplac| (CAR |t|)
-                              (|replaceExitEtc| (CAR |t|) |tag|
-                                  |opFlag| |opMode|))))
-           (|replaceExitEtc| (CAR |x|) |tag| |opFlag| |opMode|)
-           (EXIT (|replaceExitEtc| (CDR |x|) |tag| |opFlag| |opMode|))))))
-
-
-(DEFUN |replaceExitEtc| (|x| |tag| |opFlag| |opMode|)
-  (PROGN (|replaceExitEtc,fn| |x| |tag| |opFlag| |opMode|) |x|))
-
-\end{chunk}
-\subsection{compHasFormat}
-\begin{chunk}{*}
-;compHasFormat (pred is ["has",olda,b]) ==
-;  argl := rest $form
-;  formals := TAKE(#argl,$FormalMapVariableList)
-;  a := SUBLISLIS(argl,formals,olda)
-;  [a,:.] := comp(a,$EmptyMode,$e) or return nil
-;  a := SUBLISLIS(formals,argl,a)
-;  b is ["ATTRIBUTE",c] => ["HasAttribute",a,["QUOTE",c]]
-;  b is ["SIGNATURE",op,sig] =>
-;     ["HasSignature",a,
-;       mkList [MKQ op,mkList [mkDomainConstructor type for type in sig]]]
-;  isDomainForm(b,$EmptyEnvironment) => ["EQUAL",a,b]
-;  ["HasCategory",a,mkDomainConstructor b]
-
-(DEFUN |compHasFormat| (|pred|)
-  (PROG (|olda| |b| |argl| |formals| |LETTMP#1| |a| |c| |ISTMP#1| |op|
-                |ISTMP#2| |sig|)
-  (declare (special |$EmptyEnvironment| |$e| |$EmptyMode|
-                    |$FormalMapVariableList| |$form|))
-    (RETURN
-      (SEQ (PROGN
-             (COND ((EQ (CAR |pred|) '|has|) (CAR |pred|)))
-             (SPADLET |olda| (CADR |pred|))
-             (SPADLET |b| (CADDR |pred|))
-             (SPADLET |argl| (CDR |$form|))
-             (SPADLET |formals|
-                      (TAKE (|#| |argl|) |$FormalMapVariableList|))
-             (SPADLET |a| (SUBLISLIS |argl| |formals| |olda|))
-             (SPADLET |LETTMP#1|
-                      (OR (|comp| |a| |$EmptyMode| |$e|) (RETURN NIL)))
-             (SPADLET |a| (CAR |LETTMP#1|))
-             (SPADLET |a| (SUBLISLIS |formals| |argl| |a|))
-             (COND
-               ((AND (PAIRP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |b|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                            (PROGN (SPADLET |c| (QCAR |ISTMP#1|)) 'T))))
-                (CONS '|HasAttribute|
-                      (CONS |a|
-                            (CONS (CONS 'QUOTE (CONS |c| NIL)) NIL))))
-               ((AND (PAIRP |b|) (EQ (QCAR |b|) 'SIGNATURE)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |b|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |op| (QCAR |ISTMP#1|))
-                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (EQ (QCDR |ISTMP#2|) NIL)
-                                   (PROGN
-                                     (SPADLET |sig| (QCAR |ISTMP#2|))
-                                     'T))))))
-                (CONS '|HasSignature|
-                      (CONS |a|
-                            (CONS (|mkList|
-                                      (CONS (MKQ |op|)
-                                       (CONS
-                                        (|mkList|
-                                         (PROG (G169224)
-                                           (SPADLET G169224 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G169229 |sig|
-                                                (CDR G169229))
-                                               (|type| NIL))
-                                              ((OR (ATOM G169229)
-                                                (PROGN
-                                                  (SETQ |type|
-                                                   (CAR G169229))
-                                                  NIL))
-                                               (NREVERSE0 G169224))
-                                               (SEQ
-                                                (EXIT
-                                                 (SETQ G169224
-                                                  (CONS
-                                                   (|mkDomainConstructor|
-                                                    |type|)
-                                                   G169224))))))))
-                                        NIL)))
-                                  NIL))))
-               ((|isDomainForm| |b| |$EmptyEnvironment|)
-                (CONS 'EQUAL (CONS |a| (CONS |b| NIL))))
-               ('T
-                (CONS '|HasCategory|
-                      (CONS |a| (CONS (|mkDomainConstructor| |b|) NIL))))))))))
-
-\end{chunk}
-\subsection{canReturn}
-\begin{chunk}{*}
-;canReturn(expr,level,exitCount,ValueFlag) ==  --SPAD: exit and friends
-;  atom expr => ValueFlag and level=exitCount
-;  (op:= first expr)="QUOTE" => ValueFlag and level=exitCount
-;  op="TAGGEDexit" =>
-;    expr is [.,count,data] => canReturn(data.expr,level,count,count=level)
-;  level=exitCount and not ValueFlag => nil
-;  op="SEQ" => or/[canReturn(u,level+1,exitCount,false) for u in rest expr]
-;  op="TAGGEDreturn" => nil
-;  op="CATCH" =>
-;    [.,gs,data]:= expr
-;    (findThrow(gs,data,level,exitCount,ValueFlag) => true) where
-;      findThrow(gs,expr,level,exitCount,ValueFlag) ==
-;        atom expr => nil
-;        expr is ["THROW", =gs,data] => true
-;            --this is pessimistic, but I know of no more accurate idea
-;        expr is ["SEQ",:l] =>
-;          or/[findThrow(gs,u,level+1,exitCount,ValueFlag) for u in l]
-;        or/[findThrow(gs,u,level,exitCount,ValueFlag) for u in rest expr]
-;    canReturn(data,level,exitCount,ValueFlag)
-;  op = "COND" =>
-;    level = exitCount =>
-;      or/[canReturn(last u,level,exitCount,ValueFlag) for u in rest expr]
-;    or/[or/[canReturn(u,level,exitCount,ValueFlag) for u in v]
-;                for v in rest expr]
-;  op="IF" =>
-;    expr is [.,a,b,c]
-;    if not canReturn(a,0,0,true) then
-;      SAY "IF statement can not cause consequents to be executed"
-;      pp expr
-;    canReturn(a,level,exitCount,nil) or canReturn(b,level,exitCount,ValueFlag)
-;      or canReturn(c,level,exitCount,ValueFlag)
-;  --now we have an ordinary form
-;  atom op => and/[canReturn(u,level,exitCount,ValueFlag) for u in expr]
-;  op is ["XLAM",args,bods] =>
-;    and/[canReturn(u,level,exitCount,ValueFlag) for u in expr]
-;  systemErrorHere '"canReturn" --for the time being
-
-(DEFUN |canReturn,findThrow|
-       (|gs| |expr| |level| |exitCount| |ValueFlag|)
-  (PROG (|ISTMP#1| |ISTMP#2| |data| |l|)
-    (RETURN
-      (SEQ (IF (ATOM |expr|) (EXIT NIL))
-           (IF (AND (PAIRP |expr|) (EQ (QCAR |expr|) 'THROW)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |expr|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |gs|)
-                           (PROGN
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |data| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT 'T))
-           (IF (AND (PAIRP |expr|) (EQ (QCAR |expr|) 'SEQ)
-                    (PROGN (SPADLET |l| (QCDR |expr|)) 'T))
-               (EXIT (PROG (G169370)
-                       (SPADLET G169370 NIL)
-                       (RETURN
-                         (DO ((G169376 NIL G169370)
-                              (G169377 |l| (CDR G169377))
-                              (|u| NIL))
-                             ((OR G169376 (ATOM G169377)
-                                  (PROGN
-                                    (SETQ |u| (CAR G169377))
-                                    NIL))
-                              G169370)
-                           (SEQ (EXIT (SETQ G169370
-                                       (OR G169370
-                                        (|canReturn,findThrow| |gs| |u|
-                                         (PLUS |level| 1) |exitCount|
-                                         |ValueFlag|))))))))))
-           (EXIT (PROG (G169384)
-                   (SPADLET G169384 NIL)
-                   (RETURN
-                     (DO ((G169390 NIL G169384)
-                          (G169391 (CDR |expr|) (CDR G169391))
-                          (|u| NIL))
-                         ((OR G169390 (ATOM G169391)
-                              (PROGN (SETQ |u| (CAR G169391)) NIL))
-                          G169384)
-                       (SEQ (EXIT (SETQ G169384
-                                        (OR G169384
-                                         (|canReturn,findThrow| |gs|
-                                          |u| |level| |exitCount|
-                                          |ValueFlag|)))))))))))))
-
-(DEFUN |canReturn| (|expr| |level| |exitCount| |ValueFlag|)
-  (PROG (|op| |count| |gs| |data| |a| |b| |ISTMP#3| |c| |ISTMP#1|
-              |args| |ISTMP#2| |bods|)
-    (RETURN
-      (SEQ (COND
-             ((ATOM |expr|)
-              (AND |ValueFlag| (BOOT-EQUAL |level| |exitCount|)))
-             ((BOOT-EQUAL (SPADLET |op| (CAR |expr|)) 'QUOTE)
-              (AND |ValueFlag| (BOOT-EQUAL |level| |exitCount|)))
-             ((BOOT-EQUAL |op| '|TAGGEDexit|)
-              (COND
-                ((AND (PAIRP |expr|)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |expr|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |count| (QCAR |ISTMP#1|))
-                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCDR |ISTMP#2|) NIL)
-                                    (PROGN
-                                      (SPADLET |data| (QCAR |ISTMP#2|))
-                                      'T))))))
-                 (EXIT (|canReturn| (CAR |data|) |level| |count|
-                           (BOOT-EQUAL |count| |level|))))))
-             ((AND (BOOT-EQUAL |level| |exitCount|) (NULL |ValueFlag|))
-              NIL)
-             ((BOOT-EQUAL |op| 'SEQ)
-              (PROG (G169463)
-                (SPADLET G169463 NIL)
-                (RETURN
-                  (DO ((G169469 NIL G169463)
-                       (G169470 (CDR |expr|) (CDR G169470))
-                       (|u| NIL))
-                      ((OR G169469 (ATOM G169470)
-                           (PROGN (SETQ |u| (CAR G169470)) NIL))
-                       G169463)
-                    (SEQ (EXIT (SETQ G169463
-                                     (OR G169463
-                                      (|canReturn| |u| (PLUS |level| 1)
-                                       |exitCount| NIL)))))))))
-             ((BOOT-EQUAL |op| '|TAGGEDreturn|) NIL)
-             ((BOOT-EQUAL |op| 'CATCH)
-              (PROGN
-                (SPADLET |gs| (CADR |expr|))
-                (SPADLET |data| (CADDR |expr|))
-                (COND
-                  ((|canReturn,findThrow| |gs| |data| |level|
-                       |exitCount| |ValueFlag|)
-                   'T)
-                  ('T
-                   (|canReturn| |data| |level| |exitCount| |ValueFlag|)))))
-             ((BOOT-EQUAL |op| 'COND)
-              (COND
-                ((BOOT-EQUAL |level| |exitCount|)
-                 (PROG (G169477)
-                   (SPADLET G169477 NIL)
-                   (RETURN
-                     (DO ((G169483 NIL G169477)
-                          (G169484 (CDR |expr|) (CDR G169484))
-                          (|u| NIL))
-                         ((OR G169483 (ATOM G169484)
-                              (PROGN (SETQ |u| (CAR G169484)) NIL))
-                          G169477)
-                       (SEQ (EXIT (SETQ G169477
-                                        (OR G169477
-                                         (|canReturn| (|last| |u|)
-                                          |level| |exitCount|
-                                          |ValueFlag|)))))))))
-                ('T
-                 (PROG (G169491)
-                   (SPADLET G169491 NIL)
-                   (RETURN
-                     (DO ((G169497 NIL G169491)
-                          (G169498 (CDR |expr|) (CDR G169498))
-                          (|v| NIL))
-                         ((OR G169497 (ATOM G169498)
-                              (PROGN (SETQ |v| (CAR G169498)) NIL))
-                          G169491)
-                       (SEQ (EXIT (SETQ G169491
-                                        (OR G169491
-                                         (PROG (G169505)
-                                           (SPADLET G169505 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G169511 NIL
-                                                G169505)
-                                               (G169512 |v|
-                                                (CDR G169512))
-                                               (|u| NIL))
-                                              ((OR G169511
-                                                (ATOM G169512)
-                                                (PROGN
-                                                  (SETQ |u|
-                                                   (CAR G169512))
-                                                  NIL))
-                                               G169505)
-                                               (SEQ
-                                                (EXIT
-                                                 (SETQ G169505
-                                                  (OR G169505
-                                                   (|canReturn| |u|
-                                                    |level| |exitCount|
-                                                    |ValueFlag|))))))))))))))))))
-             ((BOOT-EQUAL |op| 'IF)
-              (PROGN
-                (AND (PAIRP |expr|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |expr|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |a| (QCAR |ISTMP#1|))
-                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (PROGN
-                                     (SPADLET |b| (QCAR |ISTMP#2|))
-                                     (SPADLET |ISTMP#3|
-                                      (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCDR |ISTMP#3|) NIL)
-                                      (PROGN
-                                        (SPADLET |c| (QCAR |ISTMP#3|))
-                                        'T))))))))
-                (COND
-                  ((NULL (|canReturn| |a| 0 0 'T))
-                   (SAY                             "IF statement can not cause consequents to be executed")
-                   (|pp| |expr|)))
-                (OR (|canReturn| |a| |level| |exitCount| NIL)
-                    (|canReturn| |b| |level| |exitCount| |ValueFlag|)
-                    (|canReturn| |c| |level| |exitCount| |ValueFlag|))))
-             ((ATOM |op|)
-              (PROG (G169519)
-                (SPADLET G169519 'T)
-                (RETURN
-                  (DO ((G169525 NIL (NULL G169519))
-                       (G169526 |expr| (CDR G169526)) (|u| NIL))
-                      ((OR G169525 (ATOM G169526)
-                           (PROGN (SETQ |u| (CAR G169526)) NIL))
-                       G169519)
-                    (SEQ (EXIT (SETQ G169519
-                                     (AND G169519
-                                      (|canReturn| |u| |level|
-                                       |exitCount| |ValueFlag|)))))))))
-             ((AND (PAIRP |op|) (EQ (QCAR |op|) 'XLAM)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |op|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |args| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |bods| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (PROG (G169533)
-                (SPADLET G169533 'T)
-                (RETURN
-                  (DO ((G169539 NIL (NULL G169533))
-                       (G169540 |expr| (CDR G169540)) (|u| NIL))
-                      ((OR G169539 (ATOM G169540)
-                           (PROGN (SETQ |u| (CAR G169540)) NIL))
-                       G169533)
-                    (SEQ (EXIT (SETQ G169533
-                                     (AND G169533
-                                      (|canReturn| |u| |level|
-                                       |exitCount| |ValueFlag|)))))))))
-             ('T (|systemErrorHere| "canReturn")))))))
-
-\end{chunk}
-\subsection{compBoolean}
-\begin{chunk}{*}
-;compBoolean(p,m,E) ==
-;  [p',m,E]:= comp(p,m,E) or return nil
-;  [p',m,getSuccessEnvironment(p,E),getInverseEnvironment(p,E)]
-
-(DEFUN |compBoolean| (|p| |m| E)
-  (PROG (|LETTMP#1| |p'|)
-    (RETURN
-      (PROGN
-        (SPADLET |LETTMP#1| (OR (|comp| |p| |m| E) (RETURN NIL)))
-        (SPADLET |p'| (CAR |LETTMP#1|))
-        (SPADLET |m| (CADR |LETTMP#1|))
-        (SPADLET E (CADDR |LETTMP#1|))
-        (CONS |p'|
-              (CONS |m|
-                    (CONS (|getSuccessEnvironment| |p| E)
-                          (CONS (|getInverseEnvironment| |p| E) NIL))))))))
-
-\end{chunk}
-\subsection{getSuccessEnvironment}
-\begin{chunk}{*}
-;getSuccessEnvironment(a,e) ==
-;  -- the next four lines try to ensure that explicit special-case tests
-;  --  prevent implicit ones from being generated
-;  a is ["has",x,m] =>
-;    IDENTP x and isDomainForm(m,$EmptyEnvironment) => put(x,"specialCase",m,e)
-;    e
-;  a is ["is",id,m] =>
-;    IDENTP id and isDomainForm(m,$EmptyEnvironment) =>
-;         e:=put(id,"specialCase",m,e)
-;         currentProplist:= getProplist(id,e)
-;         [.,.,e] := T := comp(m,$EmptyMode,e) or return nil -- duplicates compIs
-;         newProplist:= consProplistOf(id,currentProplist,"value",[m,:rest removeEnv T])
-;         addBinding(id,newProplist,e)
-;    e
-;  a is ["case",x,m] and IDENTP x =>
-;    put(x,"condition",[a,:get(x,"condition",e)],e)
-;  e
-
-(DEFUN |getSuccessEnvironment| (|a| |e|)
-  (PROG (|id| |currentProplist| T$ |newProplist| |ISTMP#1| |x| |ISTMP#2| |m|)
-  (declare (special |$EmptyMode| |$EmptyEnvironment|))
-    (RETURN
-      (COND
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) '|has|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |x| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |m| (QCAR |ISTMP#2|)) 'T))))))
-         (COND
-           ((AND (IDENTP |x|) (|isDomainForm| |m| |$EmptyEnvironment|))
-            (|put| |x| '|specialCase| |m| |e|))
-           ('T |e|)))
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) '|is|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |id| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |m| (QCAR |ISTMP#2|)) 'T))))))
-         (COND
-           ((AND (IDENTP |id|)
-                 (|isDomainForm| |m| |$EmptyEnvironment|))
-            (SPADLET |e| (|put| |id| '|specialCase| |m| |e|))
-            (SPADLET |currentProplist| (|getProplist| |id| |e|))
-            (SPADLET T$
-                     (OR (|comp| |m| |$EmptyMode| |e|) (RETURN NIL)))
-            (SPADLET |e| (CADDR T$))
-            (SPADLET |newProplist|
-                     (|consProplistOf| |id| |currentProplist| '|value|
-                         (CONS |m| (CDR (|removeEnv| T$)))))
-            (|addBinding| |id| |newProplist| |e|))
-           ('T |e|)))
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) '|case|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |x| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |m| (QCAR |ISTMP#2|)) 'T)))))
-              (IDENTP |x|))
-         (|put| |x| '|condition|
-                (CONS |a| (|get| |x| '|condition| |e|)) |e|))
-        ('T |e|)))))
-
-\end{chunk}
-\subsection{getInverseEnvironment}
-\begin{chunk}{*}
-;getInverseEnvironment(a,E) ==
-;  atom a => E
-;  [op,:argl]:= a
-;-- the next five lines try to ensure that explicit special-case tests
-;-- prevent implicit ones from being generated
-;  op="has" =>
-;    [x,m]:= argl
-;    IDENTP x and isDomainForm(m,$EmptyEnvironment) => put(x,"specialCase",m,E)
-;    E
-;  a is ["case",x,m] and IDENTP x =>
-;           --the next two lines are necessary to get 3-branched Unions to work
-;           -- old-style unions, that is
-;    (get(x,"condition",E) is [["OR",:oldpred]]) and MEMBER(a,oldpred) =>
-;      put(x,"condition",LIST MKPF(DELETE(a,oldpred),"OR"),E)
-;    getUnionMode(x,E) is ["Union",:l]
-;    l':= DELETE(m,l)
-;    for u in l' repeat
-;       if u is ['_:,=m,:.] then l':=DELETE(u,l')
-;    newpred:= MKPF([["case",x,m'] for m' in l'],"OR")
-;    put(x,"condition",[newpred,:get(x,"condition",E)],E)
-;  E
-
-(DEFUN |getInverseEnvironment| (|a| E)
-  (PROG (|op| |argl| |x| |m| |ISTMP#2| |oldpred| |l| |ISTMP#1| |l'| |newpred|)
-  (declare (special |$EmptyEnvironment|))
-    (RETURN
-      (SEQ (COND
-             ((ATOM |a|) E)
-             ('T (SPADLET |op| (CAR |a|)) (SPADLET |argl| (CDR |a|))
-              (COND
-                ((BOOT-EQUAL |op| '|has|) (SPADLET |x| (CAR |argl|))
-                 (SPADLET |m| (CADR |argl|))
-                 (COND
-                   ((AND (IDENTP |x|)
-                         (|isDomainForm| |m| |$EmptyEnvironment|))
-                    (|put| |x| '|specialCase| |m| E))
-                   ('T E)))
-                ((AND (PAIRP |a|) (EQ (QCAR |a|) '|case|)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |a|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |x| (QCAR |ISTMP#1|))
-                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCDR |ISTMP#2|) NIL)
-                                    (PROGN
-                                      (SPADLET |m| (QCAR |ISTMP#2|))
-                                      'T)))))
-                      (IDENTP |x|))
-                 (COND
-                   ((AND (PROGN
-                           (SPADLET |ISTMP#1|
-                                    (|get| |x| '|condition| E))
-                           (AND (PAIRP |ISTMP#1|)
-                                (EQ (QCDR |ISTMP#1|) NIL)
-                                (PROGN
-                                  (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCAR |ISTMP#2|) 'OR)
-                                       (PROGN
-                                         (SPADLET |oldpred|
-                                          (QCDR |ISTMP#2|))
-                                         'T)))))
-                         (|member| |a| |oldpred|))
-                    (|put| |x| '|condition|
-                           (LIST (MKPF (|delete| |a| |oldpred|) 'OR))
-                           E))
-                   ('T (SPADLET |ISTMP#1| (|getUnionMode| |x| E))
-                    (AND (PAIRP |ISTMP#1|)
-                         (EQ (QCAR |ISTMP#1|) '|Union|)
-                         (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))
-                    (SPADLET |l'| (|delete| |m| |l|))
-                    (DO ((G169713 |l'| (CDR G169713)) (|u| NIL))
-                        ((OR (ATOM G169713)
-                             (PROGN (SETQ |u| (CAR G169713)) NIL))
-                         NIL)
-                      (SEQ (EXIT (COND
-                                   ((AND (PAIRP |u|)
-                                     (EQ (QCAR |u|) '|:|)
-                                     (PROGN
-                                       (SPADLET |ISTMP#1| (QCDR |u|))
-                                       (AND (PAIRP |ISTMP#1|)
-                                        (EQUAL (QCAR |ISTMP#1|) |m|))))
-                                    (SPADLET |l'| (|delete| |u| |l'|)))
-                                   ('T NIL)))))
-                    (SPADLET |newpred|
-                             (MKPF (PROG (G169723)
-                                     (SPADLET G169723 NIL)
-                                     (RETURN
-                                       (DO
-                                        ((G169728 |l'|
-                                          (CDR G169728))
-                                         (|m'| NIL))
-                                        ((OR (ATOM G169728)
-                                          (PROGN
-                                            (SETQ |m'| (CAR G169728))
-                                            NIL))
-                                         (NREVERSE0 G169723))
-                                         (SEQ
-                                          (EXIT
-                                           (SETQ G169723
-                                            (CONS
-                                             (CONS '|case|
-                                              (CONS |x|
-                                               (CONS |m'| NIL)))
-                                             G169723)))))))
-                                   'OR))
-                    (|put| |x| '|condition|
-                           (CONS |newpred| (|get| |x| '|condition| E))
-                           E))))
-                ('T E))))))))
-
-\end{chunk}
-\subsection{getUnionMode}
-\begin{chunk}{*}
-;getUnionMode(x,e) ==
-;  m:=
-;    atom x => getmode(x,e)
-;    return nil
-;  isUnionMode(m,e)
-
-(DEFUN |getUnionMode| (|x| |e|)
-  (PROG (|m|)
-    (RETURN
-      (PROGN
-        (SPADLET |m|
-                 (COND
-                   ((ATOM |x|) (|getmode| |x| |e|))
-                   ('T (RETURN NIL))))
-        (|isUnionMode| |m| |e|)))))
-
-\end{chunk}
-\subsection{isUnionMode}
-\begin{chunk}{*}
-;isUnionMode(m,e) ==
-;  m is ["Union",:.] => m
-;  (m':= getmode(m,e)) is ["Mapping",["UnionCategory",:.]] => CADR m'
-;  v:= get(if m="$" then "Rep" else m,"value",e) =>
-;    (v.expr is ["Union",:.] => v.expr; nil)
-;  nil
-
-(DEFUN |isUnionMode| (|m| |e|)
-  (PROG (|m'| |ISTMP#2| |ISTMP#3| |v| |ISTMP#1|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Union|)) |m|)
-        ((PROGN
-           (SPADLET |ISTMP#1| (SPADLET |m'| (|getmode| |m| |e|)))
-           (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                (PROGN
-                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                  (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                       (PROGN
-                         (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                         (AND (PAIRP |ISTMP#3|)
-                              (EQ (QCAR |ISTMP#3|) '|UnionCategory|)))))))
-         (CADR |m'|))
-        ((SPADLET |v|
-                  (|get| (COND ((BOOT-EQUAL |m| '$) '|Rep|) ('T |m|))
-                         '|value| |e|))
-         (COND
-           ((PROGN
-              (SPADLET |ISTMP#1| (CAR |v|))
-              (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Union|)))
-            (CAR |v|))
-           ('T NIL)))
-        ('T NIL)))))
-
-\end{chunk}
-\subsection{compFromIf}
-\begin{chunk}{*}
-;compFromIf(a,m,E) ==
-;  a="noBranch" => ["noBranch",m,E]
-;  true => comp(a,m,E)
-
-(DEFUN |compFromIf| (|a| |m| E)
-  (COND
-    ((BOOT-EQUAL |a| '|noBranch|)
-     (CONS '|noBranch| (CONS |m| (CONS E NIL))))
-    ('T (|comp| |a| |m| E))))
-
-\end{chunk}
-\subsection{quotify}
-\begin{chunk}{*}
-;quotify x == x
-
-(DEFUN |quotify| (|x|) |x|) 
-
-\end{chunk}
-\subsection{unknownTypeError}
-\begin{chunk}{*}
-;unknownTypeError name ==
-;  name:=
-;    name is [op,:.] => op
-;    name
-;  stackSemanticError(["%b",name,"%d","is not a known type"],nil)
-
-(DEFUN |unknownTypeError| (|name|)
-  (PROG (|op|)
-    (RETURN
-      (PROGN
-        (SPADLET |name|
-                 (COND
-                   ((AND (PAIRP |name|)
-                         (PROGN (SPADLET |op| (QCAR |name|)) 'T))
-                    |op|)
-                   ('T |name|)))
-        (|stackSemanticError|
-            (CONS '|%b|
-                  (CONS |name|
-                        (CONS '|%d| (CONS '|is not a known type| NIL))))
-            NIL)))))
-
-\end{chunk}
-\section{Functions for coercion by the compiler}
-\subsection{coerce}
-The function coerce is used by the old compiler for coercions.
-The function coerceInteractive is used by the interpreter.
-One should always call the correct function, since the representation 
-of basic objects may not be the same.
-\begin{chunk}{*}
-;coerce(T,m) ==
-;  $InteractiveMode =>
-;    keyedSystemError("S2GE0016",['"coerce",
-;      '"function coerce called from the interpreter."])
-;  rplac(CADR T,substitute("$",$Rep,CADR T))
-;  T':= coerceEasy(T,m) => T'
-;  T':= coerceSubset(T,m) => T'
-;  T':= coerceHard(T,m) => T'
-;  T.expr = "$fromCoerceable$" or isSomeDomainVariable m => nil
-;  stackMessage fn(T.expr,T.mode,m) where
-;      -- if from from coerceable, this coerce was just a trial coercion
-;      -- from compFormWithModemap to filter through the modemaps
-;    fn(x,m1,m2) ==
-;      ["Cannot coerce","%b",x,"%d","%l","      of mode","%b",m1,"%d","%l",
-;        "      to mode","%b",m2,"%d"]
-
-(DEFUN |coerce,fn| (|x| |m1| |m2|)
-  (CONS '|Cannot coerce|
-        (CONS '|%b|
-              (CONS |x|
-                    (CONS '|%d|
-                          (CONS '|%l|
-                                (CONS '|      of mode|
-                                      (CONS '|%b|
-                                       (CONS |m1|
-                                        (CONS '|%d|
-                                         (CONS '|%l|
-                                          (CONS '|      to mode|
-                                           (CONS '|%b|
-                                            (CONS |m2|
-                                             (CONS '|%d| NIL)))))))))))))))
-
-
-(DEFUN |coerce| (T$ |m|)
-  (PROG (|T'|)
-  (declare (special |$fromCoerceable$| |$Rep| |$InteractiveMode|))
-    (RETURN
-      (COND
-        (|$InteractiveMode|
-            (|keyedSystemError| 'S2GE0016
-                (CONS "coerce"
-                      (CONS                                 "function coerce called from the interpreter."
-                            NIL))))
-        ('T (|rplac| (CADR T$) (MSUBST '$ |$Rep| (CADR T$)))
-         (COND
-           ((SPADLET |T'| (|coerceEasy| T$ |m|)) |T'|)
-           ((SPADLET |T'| (|coerceSubset| T$ |m|)) |T'|)
-           ((SPADLET |T'| (|coerceHard| T$ |m|)) |T'|)
-           ((OR (BOOT-EQUAL (CAR T$) '|$fromCoerceable$|)
-                (|isSomeDomainVariable| |m|))
-            NIL)
-           ('T (|stackMessage| (|coerce,fn| (CAR T$) (CADR T$) |m|)))))))))
-
-\end{chunk}
-\subsection{coerceEasy}
-\begin{chunk}{*}
-;coerceEasy(T,m) ==
-;  m=$EmptyMode => T
-;  m=$NoValueMode or m=$Void => [T.expr,m,T.env]
-;  T.mode =m => T
-;  T.mode =$NoValueMode => T
-;  T.mode =$Exit =>
-;      [["PROGN", T.expr, ["userError", '"Did not really exit."]],
-;        m,T.env]
-;  T.mode=$EmptyMode or modeEqualSubst(T.mode,m,T.env) =>
-;    [T.expr,m,T.env]
-
-(DEFUN |coerceEasy| (T$ |m|)
-  (declare (special |$EmptyMode| |$Exit| |$NoValueMode| |$Void|))
-  (COND
-    ((BOOT-EQUAL |m| |$EmptyMode|) T$)
-    ((OR (BOOT-EQUAL |m| |$NoValueMode|) (BOOT-EQUAL |m| |$Void|))
-     (CONS (CAR T$) (CONS |m| (CONS (CADDR T$) NIL))))
-    ((BOOT-EQUAL (CADR T$) |m|) T$)
-    ((BOOT-EQUAL (CADR T$) |$NoValueMode|) T$)
-    ((BOOT-EQUAL (CADR T$) |$Exit|)
-     (CONS (CONS 'PROGN
-                 (CONS (CAR T$)
-                       (CONS (CONS '|userError|
-                                   (CONS
-                                    "Did not really exit."
-                                    NIL))
-                             NIL)))
-           (CONS |m| (CONS (CADDR T$) NIL))))
-    ((OR (BOOT-EQUAL (CADR T$) |$EmptyMode|)
-         (|modeEqualSubst| (CADR T$) |m| (CADDR T$)))
-     (CONS (CAR T$) (CONS |m| (CONS (CADDR T$) NIL))))))
-
-\end{chunk}
-\subsection{coerceSubset}
-\begin{chunk}{*}
-;coerceSubset([x,m,e],m') ==
-;  isSubset(m,m',e) or m="Rep" and m'="$" => [x,m',e]
-;  m is ['SubDomain,=m',:.] => [x,m',e]
-;  (pred:= LASSOC(opOf m',get(opOf m,'SubDomain,e))) and INTEGERP x and
-;     -- obviously this is temporary
-;    eval substitute(x,"#1",pred) => [x,m',e]
-;  (pred:= isSubset(m',maxSuperType(m,e),e)) and INTEGERP x -- again temporary
-;    and eval substitute(x,"*",pred) =>
-;      [x,m',e]
-;  nil
-
-(DEFUN |coerceSubset| (G170274 |m'|)
-  (PROG (|x| |m| |e| |ISTMP#1| |pred|)
-    (RETURN
-      (PROGN
-        (SPADLET |x| (CAR G170274))
-        (SPADLET |m| (CADR G170274))
-        (SPADLET |e| (CADDR G170274))
-        (COND
-          ((OR (|isSubset| |m| |m'| |e|)
-               (AND (BOOT-EQUAL |m| '|Rep|) (BOOT-EQUAL |m'| '$)))
-           (CONS |x| (CONS |m'| (CONS |e| NIL))))
-          ((AND (PAIRP |m|) (EQ (QCAR |m|) '|SubDomain|)
-                (PROGN
-                  (SPADLET |ISTMP#1| (QCDR |m|))
-                  (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |m'|))))
-           (CONS |x| (CONS |m'| (CONS |e| NIL))))
-          ((AND (SPADLET |pred|
-                         (LASSOC (|opOf| |m'|)
-                                 (|get| (|opOf| |m|) '|SubDomain| |e|)))
-                (INTEGERP |x|) (|eval| (MSUBST |x| '|#1| |pred|)))
-           (CONS |x| (CONS |m'| (CONS |e| NIL))))
-          ((AND (SPADLET |pred|
-                         (|isSubset| |m'| (|maxSuperType| |m| |e|) |e|))
-                (INTEGERP |x|) (|eval| (MSUBST |x| '* |pred|)))
-           (CONS |x| (CONS |m'| (CONS |e| NIL))))
-          ('T NIL))))))
-
-\end{chunk}
-\subsection{coerceHard}
-\begin{chunk}{*}
-;coerceHard(T,m) ==
-;  $e: local:= T.env
-;  m':= T.mode
-;  STRINGP m' and modeEqual(m,$String) => [T.expr,m,$e]
-;  modeEqual(m',m) or
-;    (get(m',"value",$e) is [m'',:.] or getmode(m',$e) is ["Mapping",m'']) and
-;      modeEqual(m'',m) or
-;        (get(m,"value",$e) is [m'',:.] or getmode(m,$e) is ["Mapping",m'']) and
-;          modeEqual(m'',m') => [T.expr,m,T.env]
-;  STRINGP T.expr and T.expr=m => [T.expr,m,$e]
-;  isCategoryForm(m,$e) =>
-;      $bootStrapMode = true => [T.expr,m,$e]
-;      extendsCategoryForm(T.expr,T.mode,m) => [T.expr,m,$e]
-;      coerceExtraHard(T,m)
-;  coerceExtraHard(T,m)
-
-(DEFUN |coerceHard| (T$ |m|)
-  (PROG (|$e| |m'| |ISTMP#1| |ISTMP#2| |m''|)
-    (DECLARE (SPECIAL |$e| |$String| |$bootStrapMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |$e| (CADDR T$))
-        (SPADLET |m'| (CADR T$))
-        (COND
-          ((AND (STRINGP |m'|) (|modeEqual| |m| |$String|))
-           (CONS (CAR T$) (CONS |m| (CONS |$e| NIL))))
-          ((OR (|modeEqual| |m'| |m|)
-               (AND (OR (PROGN
-                          (SPADLET |ISTMP#1|
-                                   (|get| |m'| '|value| |$e|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (PROGN
-                                 (SPADLET |m''| (QCAR |ISTMP#1|))
-                                 'T)))
-                        (PROGN
-                          (SPADLET |ISTMP#1| (|getmode| |m'| |$e|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                               (PROGN
-                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
-                                      (EQ (QCDR |ISTMP#2|) NIL)
-                                      (PROGN
-                                        (SPADLET |m''|
-                                         (QCAR |ISTMP#2|))
-                                        'T))))))
-                    (|modeEqual| |m''| |m|))
-               (AND (OR (PROGN
-                          (SPADLET |ISTMP#1| (|get| |m| '|value| |$e|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (PROGN
-                                 (SPADLET |m''| (QCAR |ISTMP#1|))
-                                 'T)))
-                        (PROGN
-                          (SPADLET |ISTMP#1| (|getmode| |m| |$e|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                               (PROGN
-                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
-                                      (EQ (QCDR |ISTMP#2|) NIL)
-                                      (PROGN
-                                        (SPADLET |m''|
-                                         (QCAR |ISTMP#2|))
-                                        'T))))))
-                    (|modeEqual| |m''| |m'|)))
-           (CONS (CAR T$) (CONS |m| (CONS (CADDR T$) NIL))))
-          ((AND (STRINGP (CAR T$)) (BOOT-EQUAL (CAR T$) |m|))
-           (CONS (CAR T$) (CONS |m| (CONS |$e| NIL))))
-          ((|isCategoryForm| |m| |$e|)
-           (COND
-             ((BOOT-EQUAL |$bootStrapMode| 'T)
-              (CONS (CAR T$) (CONS |m| (CONS |$e| NIL))))
-             ((|extendsCategoryForm| (CAR T$) (CADR T$) |m|)
-              (CONS (CAR T$) (CONS |m| (CONS |$e| NIL))))
-             ('T (|coerceExtraHard| T$ |m|))))
-          ('T (|coerceExtraHard| T$ |m|)))))))
-
-\end{chunk}
-\subsection{coerceExtraHard}
-\begin{chunk}{*}
-;coerceExtraHard(T is [x,m',e],m) ==
-;  T':= autoCoerceByModemap(T,m) => T'
-;  isUnionMode(m',e) is ["Union",:l] and (t:= hasType(x,e)) and
-;    MEMBER(t,l) and (T':= autoCoerceByModemap(T,t)) and
-;      (T'':= coerce(T',m)) => T''
-;  m' is ['Record,:.] and m = $Expression =>
-;      [['coerceRe2E,x,['ELT,COPY m',0]],m,e]
-;  nil
-
-(DEFUN |coerceExtraHard| (T$ |m|)
-  (PROG (|x| |m'| |e| |ISTMP#1| |l| |t| |T'| |T''|)
-  (declare (special |$Expression|))
-    (RETURN
-      (PROGN
-        (SPADLET |x| (CAR T$))
-        (SPADLET |m'| (CADR T$))
-        (SPADLET |e| (CADDR T$))
-        (COND
-          ((SPADLET |T'| (|autoCoerceByModemap| T$ |m|)) |T'|)
-          ((AND (PROGN
-                  (SPADLET |ISTMP#1| (|isUnionMode| |m'| |e|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Union|)
-                       (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T)))
-                (SPADLET |t| (|hasType| |x| |e|)) (|member| |t| |l|)
-                (SPADLET |T'| (|autoCoerceByModemap| T$ |t|))
-                (SPADLET |T''| (|coerce| |T'| |m|)))
-           |T''|)
-          ((AND (PAIRP |m'|) (EQ (QCAR |m'|) '|Record|)
-                (BOOT-EQUAL |m| |$Expression|))
-           (CONS (CONS '|coerceRe2E|
-                       (CONS |x|
-                             (CONS (CONS 'ELT
-                                    (CONS (COPY |m'|) (CONS 0 NIL)))
-                                   NIL)))
-                 (CONS |m| (CONS |e| NIL))))
-          ('T NIL))))))
-
-\end{chunk}
-\subsection{coerceable}
-\begin{chunk}{*}
-;coerceable(m,m',e) ==
-;  m=m' => m
-;  -- must find any free parameters in m
-;  sl:= pmatch(m',m) => SUBLIS(sl,m')
-;  coerce(["$fromCoerceable$",m,e],m') => m'
-;  nil
-
-(DEFUN |coerceable| (|m| |m'| |e|)
-  (PROG (|sl|)
-  (declare (special |$fromCoerceable$|))
-    (RETURN
-      (COND
-        ((BOOT-EQUAL |m| |m'|) |m|)
-        ((SPADLET |sl| (|pmatch| |m'| |m|)) (SUBLIS |sl| |m'|))
-        ((|coerce| (CONS '|$fromCoerceable$| (CONS |m| (CONS |e| NIL)))
-             |m'|)
-         |m'|)
-        ('T NIL)))))
-
-\end{chunk}
-\subsection{coerceExit}
-\begin{chunk}{*}
-;coerceExit([x,m,e],m') ==
-;  m':= resolve(m,m')
-;  x':= replaceExitEtc(x,catchTag:= MKQ GENSYM(),"TAGGEDexit",$exitMode)
-;  coerce([["CATCH",catchTag,x'],m,e],m')
-
-(DEFUN |coerceExit| (G170380 |m'|)
-  (PROG (|x| |m| |e| |catchTag| |x'|)
-  (declare (special |$exitMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |x| (CAR G170380))
-        (SPADLET |m| (CADR G170380))
-        (SPADLET |e| (CADDR G170380))
-        (SPADLET |m'| (|resolve| |m| |m'|))
-        (SPADLET |x'|
-                 (|replaceExitEtc| |x|
-                     (SPADLET |catchTag| (MKQ (GENSYM))) '|TAGGEDexit|
-                     |$exitMode|))
-        (|coerce|
-            (CONS (CONS 'CATCH (CONS |catchTag| (CONS |x'| NIL)))
-                  (CONS |m| (CONS |e| NIL)))
-            |m'|)))))
-
-\end{chunk}
-\subsection{coerceByModemap}
-\begin{chunk}{*}
-;coerceByModemap([x,m,e],m') ==
-;--+ modified 6/27 for new runtime system
-;  u:=
-;    [modemap
-;      for (modemap:= [map,cexpr]) in getModemapList("coerce",1,e) | map is [.,t,
-;        s] and (modeEqual(t,m') or isSubset(t,m',e))
-;           and (modeEqual(s,m) or isSubset(m,s,e))] or return nil
-;  --mm:= (or/[mm for (mm:=[.,[cond,.]]) in u | cond=true]) or return nil
-;  mm:=first u  -- patch for non-trival conditons
-;  fn :=
-;    genDeltaEntry ['coerce,:mm]
-;  [["call",fn,x],m',e]
-
-(DEFUN |coerceByModemap| (G170521 |m'|)
-  (PROG (|x| |m| |e| |map| |cexpr| |ISTMP#1| |t| |ISTMP#2| |s| |u| |mm|
-             |fn|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |x| (CAR G170521))
-             (SPADLET |m| (CADR G170521))
-             (SPADLET |e| (CADDR G170521))
-             (SPADLET |u|
-                      (OR (PROG (G170548)
-                            (SPADLET G170548 NIL)
-                            (RETURN
-                              (DO ((G170555
-                                    (|getModemapList| '|coerce| 1 |e|)
-                                    (CDR G170555))
-                                   (|modemap| NIL))
-                                  ((OR (ATOM G170555)
-                                    (PROGN
-                                      (SETQ |modemap| (CAR G170555))
-                                      NIL)
-                                    (PROGN
-                                      (PROGN
-                                        (SPADLET |map| (CAR |modemap|))
-                                        (SPADLET |cexpr|
-                                         (CADR |modemap|))
-                                        |modemap|)
-                                      NIL))
-                                   (NREVERSE0 G170548))
-                                (SEQ (EXIT
-                                      (COND
-                                        ((AND (PAIRP |map|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#1|
-                                             (QCDR |map|))
-                                            (AND (PAIRP |ISTMP#1|)
-                                             (PROGN
-                                               (SPADLET |t|
-                                                (QCAR |ISTMP#1|))
-                                               (SPADLET |ISTMP#2|
-                                                (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
-                                                (EQ (QCDR |ISTMP#2|)
-                                                 NIL)
-                                                (PROGN
-                                                  (SPADLET |s|
-                                                   (QCAR |ISTMP#2|))
-                                                  'T)))))
-                                          (OR (|modeEqual| |t| |m'|)
-                                           (|isSubset| |t| |m'| |e|))
-                                          (OR (|modeEqual| |s| |m|)
-                                           (|isSubset| |m| |s| |e|)))
-                                         (SETQ G170548
-                                          (CONS |modemap| G170548)))))))))
-                          (RETURN NIL)))
-             (SPADLET |mm| (CAR |u|))
-             (SPADLET |fn| (|genDeltaEntry| (CONS '|coerce| |mm|)))
-             (CONS (CONS '|call| (CONS |fn| (CONS |x| NIL)))
-                   (CONS |m'| (CONS |e| NIL))))))))
-
-\end{chunk}
-\subsection{autoCoerceByModemap}
-\begin{chunk}{*}
-;autoCoerceByModemap([x,source,e],target) ==
-;  u:=
-;    [cexpr
-;      for (modemap:= [map,cexpr]) in getModemapList("autoCoerce",1,e) | map is [
-;        .,t,s] and modeEqual(t,target) and modeEqual(s,source)] or return nil
-;  fn:= (or/[selfn for [cond,selfn] in u | cond=true]) or return nil
-;  source is ["Union",:l] and MEMBER(target,l) =>
-;    (y:= get(x,"condition",e)) and (or/[u is ["case",., =target] for u in y])
-;       => [["call",fn,x],target,e]
-;    x="$fromCoerceable$" => nil
-;    stackMessage ["cannot coerce: ",x,"%l","      of mode: ",source,"%l",
-;      "      to: ",target," without a case statement"]
-;  [["call",fn,x],target,e]
-
-(DEFUN |autoCoerceByModemap| (G170609 |target|)
-  (PROG (|x| |source| |e| |map| |cexpr| |t| |s| |u| |cond| |selfn| |fn|
-             |l| |y| |ISTMP#1| |ISTMP#2|)
-  (declare (special |$fromCoerceable$|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |x| (CAR G170609))
-             (SPADLET |source| (CADR G170609))
-             (SPADLET |e| (CADDR G170609))
-             (SPADLET |u|
-                      (OR (PROG (G170645)
-                            (SPADLET G170645 NIL)
-                            (RETURN
-                              (DO ((G170652
-                                    (|getModemapList| '|autoCoerce| 1
-                                     |e|)
-                                    (CDR G170652))
-                                   (|modemap| NIL))
-                                  ((OR (ATOM G170652)
-                                    (PROGN
-                                      (SETQ |modemap| (CAR G170652))
-                                      NIL)
-                                    (PROGN
-                                      (PROGN
-                                        (SPADLET |map| (CAR |modemap|))
-                                        (SPADLET |cexpr|
-                                         (CADR |modemap|))
-                                        |modemap|)
-                                      NIL))
-                                   (NREVERSE0 G170645))
-                                (SEQ (EXIT
-                                      (COND
-                                        ((AND (PAIRP |map|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#1|
-                                             (QCDR |map|))
-                                            (AND (PAIRP |ISTMP#1|)
-                                             (PROGN
-                                               (SPADLET |t|
-                                                (QCAR |ISTMP#1|))
-                                               (SPADLET |ISTMP#2|
-                                                (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
-                                                (EQ (QCDR |ISTMP#2|)
-                                                 NIL)
-                                                (PROGN
-                                                  (SPADLET |s|
-                                                   (QCAR |ISTMP#2|))
-                                                  'T)))))
-                                          (|modeEqual| |t| |target|)
-                                          (|modeEqual| |s| |source|))
-                                         (SETQ G170645
-                                          (CONS |cexpr| G170645)))))))))
-                          (RETURN NIL)))
-             (SPADLET |fn|
-                      (OR (PROG (G170659)
-                            (SPADLET G170659 NIL)
-                            (RETURN
-                              (DO ((G170667 NIL G170659)
-                                   (G170668 |u| (CDR G170668))
-                                   (G170597 NIL))
-                                  ((OR G170667 (ATOM G170668)
-                                    (PROGN
-                                      (SETQ G170597 (CAR G170668))
-                                      NIL)
-                                    (PROGN
-                                      (PROGN
-                                        (SPADLET |cond|
-                                         (CAR G170597))
-                                        (SPADLET |selfn|
-                                         (CADR G170597))
-                                        G170597)
-                                      NIL))
-                                   G170659)
-                                (SEQ (EXIT
-                                      (COND
-                                        ((BOOT-EQUAL |cond| 'T)
-                                         (SETQ G170659
-                                          (OR G170659 |selfn|)))))))))
-                          (RETURN NIL)))
-             (COND
-               ((AND (PAIRP |source|) (EQ (QCAR |source|) '|Union|)
-                     (PROGN (SPADLET |l| (QCDR |source|)) 'T)
-                     (|member| |target| |l|))
-                (COND
-                  ((AND (SPADLET |y| (|get| |x| '|condition| |e|))
-                        (PROG (G170676)
-                          (SPADLET G170676 NIL)
-                          (RETURN
-                            (DO ((G170686 NIL G170676)
-                                 (G170687 |y| (CDR G170687))
-                                 (|u| NIL))
-                                ((OR G170686 (ATOM G170687)
-                                     (PROGN
-                                       (SETQ |u| (CAR G170687))
-                                       NIL))
-                                 G170676)
-                              (SEQ (EXIT
-                                    (SETQ G170676
-                                     (OR G170676
-                                      (AND (PAIRP |u|)
-                                       (EQ (QCAR |u|) '|case|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1| (QCDR |u|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (EQUAL (QCAR |ISTMP#2|)
-                                              |target|))))))))))))))
-                   (CONS (CONS '|call| (CONS |fn| (CONS |x| NIL)))
-                         (CONS |target| (CONS |e| NIL))))
-                  ((BOOT-EQUAL |x| '|$fromCoerceable$|) NIL)
-                  ('T
-                   (|stackMessage|
-                       (CONS '|cannot coerce: |
-                             (CONS |x|
-                                   (CONS '|%l|
-                                    (CONS '|      of mode: |
-                                     (CONS |source|
-                                      (CONS '|%l|
-                                       (CONS '|      to: |
-                                        (CONS |target|
-                                         (CONS
-                                          '| without a case statement|
-                                          NIL)))))))))))))
-               ('T
-                (CONS (CONS '|call| (CONS |fn| (CONS |x| NIL)))
-                      (CONS |target| (CONS |e| NIL))))))))))
-
-\end{chunk}
-\subsection{resolve}
-Very old resolve
-should only be used in the old (preWATT) compiler
-\begin{chunk}{*}
-;resolve(din,dout) ==
-;  din=$NoValueMode or dout=$NoValueMode => $NoValueMode
-;  dout=$EmptyMode => din
-;  din^=dout and (STRINGP din or STRINGP dout) =>
-;    modeEqual(dout,$String) => dout
-;    modeEqual(din,$String) => nil
-;    mkUnion(din,dout)
-;  dout
-
-(DEFUN |resolve| (|din| |dout|)
-  (declare (special |$String| |$EmptyMode| |$NoValueMode|))
-  (COND
-    ((OR (BOOT-EQUAL |din| |$NoValueMode|)
-         (BOOT-EQUAL |dout| |$NoValueMode|))
-     |$NoValueMode|)
-    ((BOOT-EQUAL |dout| |$EmptyMode|) |din|)
-    ((AND (NEQUAL |din| |dout|) (OR (STRINGP |din|) (STRINGP |dout|)))
-     (COND
-       ((|modeEqual| |dout| |$String|) |dout|)
-       ((|modeEqual| |din| |$String|) NIL)
-       ('T (|mkUnion| |din| |dout|))))
-    ('T |dout|)))
-
-\end{chunk}
-\subsection{modeEqual}
-\begin{chunk}{*}
-;modeEqual(x,y) ==
-;  -- this is the late modeEqual
-;  -- orders Unions
-;  atom x or atom y => x=y
-;  #x ^=#y => nil
-;  x is ['Union,:xl] and y is ['Union,:yl] =>
-;    for x1 in xl repeat
-;      for y1 in yl repeat
-;        modeEqual(x1,y1) =>
-;          xl := DELETE(x1,xl)
-;          yl := DELETE(y1,yl)
-;          return nil
-;    xl or yl => nil
-;    true
-;  (and/[modeEqual(u,v) for u in x for v in y])
-
-(DEFUN |modeEqual| (|x| |y|)
-  (PROG (|xl| |yl|)
-    (RETURN
-      (SEQ (COND
-             ((OR (ATOM |x|) (ATOM |y|)) (BOOT-EQUAL |x| |y|))
-             ((NEQUAL (|#| |x|) (|#| |y|)) NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Union|)
-                   (PROGN (SPADLET |xl| (QCDR |x|)) 'T) (PAIRP |y|)
-                   (EQ (QCAR |y|) '|Union|)
-                   (PROGN (SPADLET |yl| (QCDR |y|)) 'T))
-              (SEQ (DO ((G170731 |xl| (CDR G170731)) (|x1| NIL))
-                       ((OR (ATOM G170731)
-                            (PROGN (SETQ |x1| (CAR G170731)) NIL))
-                        NIL)
-                     (SEQ (EXIT (DO ((G170743 |yl| (CDR G170743))
-                                     (|y1| NIL))
-                                    ((OR (ATOM G170743)
-                                      (PROGN
-                                        (SETQ |y1| (CAR G170743))
-                                        NIL))
-                                     NIL)
-                                  (SEQ (EXIT
-                                        (COND
-                                          ((|modeEqual| |x1| |y1|)
-                                           (EXIT
-                                            (PROGN
-                                              (SPADLET |xl|
-                                               (|delete| |x1| |xl|))
-                                              (SPADLET |yl|
-                                               (|delete| |y1| |yl|))
-                                              (RETURN NIL)))))))))))
-                   (COND ((OR |xl| |yl|) NIL) ('T 'T))))
-             ('T
-              (PROG (G170749)
-                (SPADLET G170749 'T)
-                (RETURN
-                  (DO ((G170756 NIL (NULL G170749))
-                       (G170757 |x| (CDR G170757)) (|u| NIL)
-                       (G170758 |y| (CDR G170758)) (|v| NIL))
-                      ((OR G170756 (ATOM G170757)
-                           (PROGN (SETQ |u| (CAR G170757)) NIL)
-                           (ATOM G170758)
-                           (PROGN (SETQ |v| (CAR G170758)) NIL))
-                       G170749)
-                    (SEQ (EXIT (SETQ G170749
-                                     (AND G170749
-                                      (|modeEqual| |u| |v|))))))))))))))
-
-\end{chunk}
-\subsection{modeEqualSubst}
-\begin{chunk}{*}
-;modeEqualSubst(m1,m,e) ==
-;  modeEqual(m1, m) => true
-;  atom m1 => get(m1,"value",e) is [m',:.] and modeEqual(m',m)
-;  m1 is [op,:l1] and m is [=op,:l2]  and # l1 = # l2 =>
-;-- Above length test inserted JHD 4:47 on 15/8/86
-;-- Otherwise Records can get fouled up - consider expressIdealElt
-;-- in the DEFAULTS package
-;        and/[modeEqualSubst(xm1,xm2,e) for xm1 in l1 for xm2 in l2]
-;  nil
-
-(DEFUN |modeEqualSubst| (|m1| |m| |e|)
-  (PROG (|ISTMP#1| |m'| |op| |l1| |l2|)
-    (RETURN
-      (SEQ (COND
-             ((|modeEqual| |m1| |m|) 'T)
-             ((ATOM |m1|)
-              (AND (PROGN
-                     (SPADLET |ISTMP#1| (|get| |m1| '|value| |e|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN (SPADLET |m'| (QCAR |ISTMP#1|)) 'T)))
-                   (|modeEqual| |m'| |m|)))
-             ((AND (PAIRP |m1|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |m1|))
-                     (SPADLET |l1| (QCDR |m1|))
-                     'T)
-                   (PAIRP |m|) (EQUAL (QCAR |m|) |op|)
-                   (PROGN (SPADLET |l2| (QCDR |m|)) 'T)
-                   (BOOT-EQUAL (|#| |l1|) (|#| |l2|)))
-              (PROG (G170784)
-                (SPADLET G170784 'T)
-                (RETURN
-                  (DO ((G170791 NIL (NULL G170784))
-                       (G170792 |l1| (CDR G170792)) (|xm1| NIL)
-                       (G170793 |l2| (CDR G170793)) (|xm2| NIL))
-                      ((OR G170791 (ATOM G170792)
-                           (PROGN (SETQ |xm1| (CAR G170792)) NIL)
-                           (ATOM G170793)
-                           (PROGN (SETQ |xm2| (CAR G170793)) NIL))
-                       G170784)
-                    (SEQ (EXIT (SETQ G170784
-                                     (AND G170784
-                                      (|modeEqualSubst| |xm1| |xm2|
-                                       |e|)))))))))
-             ('T NIL))))))
-
-\end{chunk}
-\subsection{convertSpadToAsFile}
-\begin{chunk}{*}
-;convertSpadToAsFile path ==
-;    -- can assume path has type = .spad
-;    $globalMacroStack : local := nil       -- for spad -> as translator
-;    $abbreviationStack: local := nil       -- for spad -> as translator
-;    $macrosAlreadyPrinted: local := nil    -- for spad -> as translator
-;    SETQ($badStack, nil)                   --ditto  TEMP to check for bad code
-;    $newPaths: local := true               --ditto  TEMP
-;    $abbreviationsAlreadyPrinted: local := nil    -- for spad -> as translator
-;    $convertingSpadFile : local := true
-;    $options: local := '((nolib))      -- translator shouldn't create nrlibs
-;    SETQ(HT,MAKE_-HASHTABLE 'UEQUAL)
-;    newName := fnameMake(pathnameDirectory path, pathnameName path, '"as")
-;    canDoIt := true
-;    if not fnameWritable? newName then
-;        sayKeyedMsg("S2IZ0086", [NAMESTRING newName])
-;        newName := fnameMake('".", pathnameName path, '"as")
-;        if not fnameWritable? newName then
-;            sayKeyedMsg("S2IZ0087", [NAMESTRING newName])
-;            canDoIt := false
-;    not canDoIt => 'failure
-;    sayKeyedMsg("S2IZ0088", [NAMESTRING newName])
-;    $outStream :local := MAKE_-OUTSTREAM newName
-;    markSay('"#include _"axiom.as_"")
-;    markTerpri()
-;    CATCH("SPAD__READER",compiler [path])
-;    SHUT $outStream
-;    mkCheck()
-;    'done
-
-(DEFUN |convertSpadToAsFile| (|path|)
-  (PROG (|$globalMacroStack| |$abbreviationStack|
-            |$macrosAlreadyPrinted| |$newPaths|
-            |$abbreviationsAlreadyPrinted| |$convertingSpadFile|
-            |$options| |$outStream| |newName| |canDoIt|)
-    (DECLARE (SPECIAL |$globalMacroStack| |$abbreviationStack|
-                      |$macrosAlreadyPrinted| |$newPaths|
-                      |$abbreviationsAlreadyPrinted| |$badStack|
-                      |$convertingSpadFile| |$options| |$outStream|))
-    (RETURN
-      (PROGN
-        (SPADLET |$globalMacroStack| NIL)
-        (SPADLET |$abbreviationStack| NIL)
-        (SPADLET |$macrosAlreadyPrinted| NIL)
-        (SETQ |$badStack| NIL)
-        (SPADLET |$newPaths| 'T)
-        (SPADLET |$abbreviationsAlreadyPrinted| NIL)
-        (SPADLET |$convertingSpadFile| 'T)
-        (SPADLET |$options| '((|nolib|)))
-        (SETQ HT (MAKE-HASHTABLE 'UEQUAL))
-        (SPADLET |newName|
-                 (|fnameMake| (|pathnameDirectory| |path|)
-                     (|pathnameName| |path|) "as"))
-        (SPADLET |canDoIt| 'T)
-        (COND
-          ((NULL (|fnameWritable?| |newName|))
-           (|sayKeyedMsg| 'S2IZ0086 (CONS (NAMESTRING |newName|) NIL))
-           (SPADLET |newName|
-                    (|fnameMake| "."
-                        (|pathnameName| |path|) "as"))
-           (COND
-             ((NULL (|fnameWritable?| |newName|))
-              (|sayKeyedMsg| 'S2IZ0087
-                  (CONS (NAMESTRING |newName|) NIL))
-              (SPADLET |canDoIt| NIL))
-             ('T NIL))))
-        (COND
-          ((NULL |canDoIt|) '|failure|)
-          ('T
-           (|sayKeyedMsg| 'S2IZ0088 (CONS (NAMESTRING |newName|) NIL))
-           (SPADLET |$outStream| (MAKE-OUTSTREAM |newName|))
-           (|markSay| "#include \"axiom.as\"")
-           (|markTerpri|)
-           (CATCH 'SPAD_READER (|compiler| (CONS |path| NIL)))
-           (SHUT |$outStream|) (|mkCheck|) '|done|))))))
-
-\end{chunk}
-\subsection{compilerDoitWithScreenedLisplib}
-\begin{chunk}{*}
-;compilerDoitWithScreenedLisplib(constructor, fun) ==
-;    EMBED('RWRITE,
-;          '(LAMBDA (KEY VALUE STREAM)
-;                   (COND ((AND (EQ STREAM $libFile)
-;                               (NOT (MEMBER KEY $saveableItems)))
-;                          VALUE)
-;                         ((NOT NIL)
-;                          (RWRITE KEY VALUE STREAM)))) )
-;    UNWIND_-PROTECT(compilerDoit(constructor,fun),
-;                   SEQ(UNEMBED 'RWRITE))
-
-(DEFUN |compilerDoitWithScreenedLisplib| (|constructor| |fun|)
-  (declare (special |$saveableItems| |$libFile|))
-  (PROGN
-    (EMBED 'RWRITE
-           '(LAMBDA (KEY VALUE STREAM)
-              (COND
-                ((AND (EQ STREAM |$libFile|)
-                      (NOT (MEMBER KEY |$saveableItems|)))
-                 VALUE)
-                ((NOT NIL) (RWRITE KEY VALUE STREAM)))))
-    (UNWIND-PROTECT
-      (|compilerDoit| |constructor| |fun|)
-      (UNEMBED 'RWRITE))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/compress.lisp.pamphlet axiom-20111101/src/interp/compress.lisp.pamphlet
--- axiom-20110301a/src/interp/compress.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/compress.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -19,7 +19,7 @@
 ;    min x ==
 ;      y:=HGET($hash,x)
 ;      y => y
-;      PAIRP x =>
+;      CONSP x =>
 ;        x = '(QUOTE T) => '(QUOTE T)
 ;        -- copes with a particular Lucid-ism, God knows why
 ;        -- This circular way of doing things is an attempt to deal with Lucid
@@ -56,7 +56,7 @@
     (DECLARE (SPECIAL |$hash|))
     (RETURN
       (SEQ (SPADLET |y| (HGET |$hash| |x|)) (IF |y| (EXIT |y|))
-           (IF (PAIRP |x|)
+           (IF (CONSP |x|)
                (EXIT (SEQ (IF (BOOT-EQUAL |x| ''T) (EXIT ''T))
                           (SPADLET |z| (|minimalise,min| (CAR |x|)))
                           (IF (NULL (EQ |z| (CAR |x|)))
diff -Nru axiom-20110301a/src/interp/c-util.lisp.pamphlet axiom-20111101/src/interp/c-util.lisp.pamphlet
--- axiom-20110301a/src/interp/c-util.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/c-util.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -53,7 +53,7 @@
     (RETURN
       (COND
         ((NULL |l|) (|same|))
-        ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
+        ((AND (CONSP |l|) (EQ (QCDR |l|) NIL)
               (PROGN (SPADLET |n| (QCAR |l|)) 'T) (INTEGERP |n|))
          (|displayComp| (SPADLET |$level| |n|)))
         ('T
@@ -277,7 +277,7 @@
   (declare (special |$dim| |$bright|))
     (RETURN
       (SEQ (IF (ATOM |a|) (EXIT |a|))
-           (IF (AND (PAIRP |a|) (EQUAL (QCAR |a|) |b|)
+           (IF (AND (CONSP |a|) (EQUAL (QCAR |a|) |b|)
                     (PROGN (SPADLET |c| (QCDR |a|)) 'T))
                (EXIT (CONS |$bright| (CONS |b| (CONS |$dim| |c|)))))
            (EXIT (CONS (|mkErrorExpr,highlight1| |b| (CAR |a|))
@@ -306,11 +306,11 @@
   (PROG (|a| |ISTMP#1| |b|)
     (RETURN
       (SEQ (IF (QSLESSP (|#| |l|) 2) (EXIT |l|))
-           (IF (AND (PAIRP |l|)
+           (IF (AND (CONSP |l|)
                     (PROGN
                       (SPADLET |a| (QCAR |l|))
                       (SPADLET |ISTMP#1| (QCDR |l|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN (SPADLET |b| (QCAR |ISTMP#1|)) 'T))))
                (EXIT (|mkErrorExpr,highlight| |b| |a|)))
            (EXIT (MSUBST (|mkErrorExpr,bracket| (CDR |l|))
@@ -450,10 +450,10 @@
 (DEFUN |deltaContour,eliminateDuplicatePropertyLists| (|contour|)
   (PROG (|ISTMP#1| |x| |contour'|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |contour|)
+      (SEQ (IF (AND (CONSP |contour|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCAR |contour|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T)))
                     (PROGN (SPADLET |contour'| (QCDR |contour|)) 'T))
                (EXIT (SEQ (IF (LASSOC |x| |contour'|)
@@ -564,11 +564,11 @@
     (RETURN
       (SEQ (IF (BOOT-EQUAL |m1| |m2|) (EXIT |m1|))
            (SPADLET |m|
-                    (SEQ (IF (AND (PAIRP |m1|)
+                    (SEQ (IF (AND (CONSP |m1|)
                                   (EQ (QCAR |m1|) '|Union|))
                              (EXIT (SEQ
                                     (IF
-                                     (AND (PAIRP |m2|)
+                                     (AND (CONSP |m2|)
                                       (EQ (QCAR |m2|) '|Union|))
                                      (EXIT
                                       (CONS '|Union|
@@ -576,7 +576,7 @@
                                     (EXIT
                                      (CONS '|Union|
                                       (S+ (CDR |m1|) (CONS |m2| NIL)))))))
-                         (IF (AND (PAIRP |m2|)
+                         (IF (AND (CONSP |m2|)
                                   (EQ (QCAR |m2|) '|Union|))
                              (EXIT (CONS '|Union|
                                     (S+ (CDR |m2|) (CONS |m1| NIL)))))
@@ -588,7 +588,7 @@
                      ((OR (ATOM G2748)
                           (PROGN (SETQ |u| (CAR G2748)) NIL))
                       NIL)
-                   (SEQ (EXIT (IF (AND (AND (PAIRP |u|)
+                   (SEQ (EXIT (IF (AND (AND (CONSP |u|)
                                         (EQ (QCAR |u|) '|Union|)
                                         (PROGN
                                           (SPADLET |u'| (QCDR |u|))
@@ -1269,7 +1269,7 @@
           (BOOT-EQUAL |x| '|case|)
           (PROGN
             (SPADLET |ISTMP#1| (|getmode| |x| |e|))
-            (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)))))))
+            (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)))))))
 
 ;
 ;isLiteral(x,e) == get(x,"isLiteral",e)
@@ -1372,7 +1372,7 @@
       (SEQ (COND
              ((OR (ATOM |x|) |$InteractiveMode|) 'T)
              ('T
-              (AND (PAIRP |x|)
+              (AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
@@ -1401,13 +1401,13 @@
   (declare (special |$SideEffectFreeFunctionList|))
     (RETURN
       (OR (|member| |op| |$SideEffectFreeFunctionList|)
-          (AND (PAIRP |op|) (EQ (QCAR |op|) '|elt|)
+          (AND (CONSP |op|) (EQ (QCAR |op|) '|elt|)
                (PROGN
                  (SPADLET |ISTMP#1| (QCDR |op|))
-                 (AND (PAIRP |ISTMP#1|)
+                 (AND (CONSP |ISTMP#1|)
                       (PROGN
                         (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                        (AND (PAIRP |ISTMP#2|)
+                        (AND (CONSP |ISTMP#2|)
                              (EQ (QCDR |ISTMP#2|) NIL)
                              (PROGN
                                (SPADLET |op'| (QCAR |ISTMP#2|))
@@ -1521,13 +1521,13 @@
   (PROG (|ISTMP#1| |ISTMP#2| |u|)
     (RETURN
       (SEQ (IF (ATOM |x|) (EXIT |x|))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|exit|)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) '|exit|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) 0)
+                      (AND (CONSP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) 0)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |u| (QCAR |ISTMP#2|))
@@ -1559,7 +1559,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |x|) |x|)
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |l| (QCDR |x|))
@@ -1570,14 +1570,14 @@
                        (PROGN (SETQ |u| (CAR G3401)) NIL))
                    NIL)
                 (SEQ (EXIT (|adjExitLevel| |u| (PLUS |seqnum| 1) |inc|)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|exit|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|exit|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |n| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |u| (QCAR |ISTMP#2|))
@@ -1586,7 +1586,7 @@
               (COND
                 ((> |seqnum| |n|) |x|)
                 ('T (|rplac| (CADR |x|) (PLUS |n| |inc|)))))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |l| (QCDR |x|))
@@ -1679,7 +1679,7 @@
         ((NULL |l|) NIL)
         ((AND (PROGN
                 (SPADLET |ISTMP#1| (CAR |l|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |k| (QCAR |ISTMP#1|))
                        (SPADLET |r| (QCDR |ISTMP#1|))
@@ -1738,7 +1738,7 @@
     (RETURN
       (SEQ (COND
              ((IDENTP |x|) (CONS |x| NIL))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |l| (QCDR |x|))
@@ -1884,13 +1884,14 @@
 
 ;;;     ***       |unStackWarning| REDEFINED
 
-(DEFUN |unStackWarning| (|msg|)
+(defun |unStackWarning| (|msg|)
   (declare (special |$warningStack| |$op| |$insideCapsuleFunctionIfTrue|))
   (PROGN
     (COND
       (|$insideCapsuleFunctionIfTrue|
           (SPADLET |msg| (CONS |$op| (CONS '|: | |msg|)))))
-    (SPADLET |$warningStack| (EFFACE |msg| |$warningStack|))
+    (SPADLET |$warningStack|
+      (delete |msg| |$warningStack| :count 1 :test #'equal))
     NIL))
 
 ;
@@ -2143,7 +2144,7 @@
       (SEQ (COND
              ((BOOT-EQUAL |form| |form'|) 'T)
              ((BOOT-EQUAL |form| |$Category|) NIL)
-             ((AND (PAIRP |form'|) (EQ (QCAR |form'|) '|Join|)
+             ((AND (CONSP |form'|) (EQ (QCAR |form'|) '|Join|)
                    (PROGN (SPADLET |l| (QCDR |form'|)) 'T))
               (PROG (G3729)
                 (SPADLET G3729 'T)
@@ -2157,10 +2158,10 @@
                                      (AND G3729
                                       (|extendsCategoryForm| |domain|
                                        |form| |x|)))))))))
-             ((AND (PAIRP |form'|) (EQ (QCAR |form'|) 'CATEGORY)
+             ((AND (CONSP |form'|) (EQ (QCAR |form'|) 'CATEGORY)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form'|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
               (PROG (G3743)
                 (SPADLET G3743 'T)
@@ -2174,22 +2175,22 @@
                                      (AND G3743
                                       (|extendsCategoryForm| |domain|
                                        |form| |x|)))))))))
-             ((AND (PAIRP |form'|)
+             ((AND (CONSP |form'|)
                    (EQ (QCAR |form'|) '|SubsetCategory|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form'|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |cat| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |dom| (QCAR |ISTMP#2|))
                                    'T))))))
               (AND (|extendsCategoryForm| |domain| |form| |cat|)
                    (|isSubset| |domain| |dom| |$e|)))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|Join|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|Join|)
                    (PROGN (SPADLET |l| (QCDR |form|)) 'T))
               (PROG (G3757)
                 (SPADLET G3757 NIL)
@@ -2203,10 +2204,10 @@
                                      (OR G3757
                                       (|extendsCategoryForm| |domain|
                                        |x| |form'|)))))))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) 'CATEGORY)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) 'CATEGORY)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
               (OR (|member| |form'| |l|)
                   (|stackWarning|
@@ -2219,14 +2220,14 @@
               (SPADLET |formVec|
                        (CAR (|compMakeCategoryObject| |form| |$e|)))
               (COND
-                ((AND (PAIRP |form'|) (EQ (QCAR |form'|) 'SIGNATURE)
+                ((AND (CONSP |form'|) (EQ (QCAR |form'|) 'SIGNATURE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |form'|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |op| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |args| (QCAR |ISTMP#2|))
                                       'T))))))
@@ -2235,10 +2236,10 @@
                      (|assoc| (SUBSTQ |domain| '$
                                       (CONS |op| (CONS |args| NIL)))
                               (SUBSTQ |domain| '$ (ELT |formVec| 1)))))
-                ((AND (PAIRP |form'|) (EQ (QCAR |form'|) 'ATTRIBUTE)
+                ((AND (CONSP |form'|) (EQ (QCAR |form'|) 'ATTRIBUTE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |form'|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |at| (QCAR |ISTMP#1|))
@@ -2246,7 +2247,7 @@
                  (OR (|assoc| |at| (ELT |formVec| 2))
                      (|assoc| (SUBSTQ |domain| '$ |at|)
                               (SUBSTQ |domain| '$ (ELT |formVec| 2)))))
-                ((AND (PAIRP |form'|) (EQ (QCAR |form'|) 'IF)) 'T)
+                ((AND (CONSP |form'|) (EQ (QCAR |form'|) 'IF)) 'T)
                 ((EQL (|#| |formVec|) 1) (|newHasTest| |form| |form'|))
                 ('T (SPADLET |catvlist| (ELT |formVec| 4))
                  (OR (|member| |form'| (CAR |catvlist|))
@@ -2307,19 +2308,19 @@
         ((SPADLET |u| (|getmode| |x| |e|)) |u|)
         ((PROGN
            (SPADLET |ISTMP#1| (SPADLET |u| (|get| |x| '|modemap| |e|)))
-           (AND (PAIRP |ISTMP#1|)
+           (AND (CONSP |ISTMP#1|)
                 (PROGN
                   (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                  (AND (PAIRP |ISTMP#2|)
+                  (AND (CONSP |ISTMP#2|)
                        (PROGN
                          (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                         (AND (PAIRP |ISTMP#3|)
+                         (AND (CONSP |ISTMP#3|)
                               (PROGN
                                 (SPADLET |map| (QCDR |ISTMP#3|))
                                 'T)))
                        (PROGN
                          (SPADLET |ISTMP#4| (QCDR |ISTMP#2|))
-                         (AND (PAIRP |ISTMP#4|)
+                         (AND (CONSP |ISTMP#4|)
                               (EQ (QCDR |ISTMP#4|) NIL)))))))
          (CONS '|Mapping| |map|))
         ('T NIL)))))
@@ -2805,10 +2806,10 @@
 (DEFUN |displayProplist,fn| (|alist|)
   (PROG (|ISTMP#1| |prop| |l| |val|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |alist|)
+      (SEQ (IF (AND (CONSP |alist|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCAR |alist|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |prop| (QCAR |ISTMP#1|))
                              (SPADLET |val| (QCDR |ISTMP#1|))
@@ -3018,7 +3019,7 @@
 ;            nob := FUNCALL(fn, arg, ob)
 ;            HPUT($seen, ob, nob)
 ;            not EQ(nob, ob) => nob
-;            PAIRP ob =>
+;            CONSP ob =>
 ;                ne:=traverseInner(QCAR ob, fn, arg)
 ;                if not EQ(ne,QCAR ob) then QRPLACA(ob, ne)
 ;                ne:=traverseInner(QCDR ob, fn, arg)
@@ -3044,7 +3045,7 @@
 ;            PAPPP ob =>
 ;                for i in 1..PA_-SPEC_-COUNT ob repeat
 ;                    s := PA_-SPEC(ob, i)
-;                    not PAIRP s =>
+;                    not CONSP s =>
 ;                        ns := traverseInner(s,fn,arg)
 ;                        if not EQ(s,ns) then
 ;                            SET_-PA_-SPEC(ob,i,ns)
@@ -3065,7 +3066,7 @@
            (SPADLET |nob| (FUNCALL |fn| |arg| |ob|))
            (HPUT |$seen| |ob| |nob|)
            (IF (NULL (EQ |nob| |ob|)) (EXIT |nob|))
-           (IF (PAIRP |ob|)
+           (IF (CONSP |ob|)
                (EXIT (SEQ (SPADLET |ne|
                                    (|traverse,traverseInner|
                                     (QCAR |ob|) |fn| |arg|))
@@ -3116,7 +3117,7 @@
                                (|i| 1 (QSADD1 |i|)))
                               ((QSGREATERP |i| G4285) NIL)
                             (SEQ (SPADLET |s| (PA-SPEC |ob| |i|))
-                                 (IF (NULL (PAIRP |s|))
+                                 (IF (NULL (CONSP |s|))
                                      (EXIT
                                       (SEQ
                                        (SPADLET |ns|
diff -Nru axiom-20110301a/src/interp/database.lisp.pamphlet axiom-20111101/src/interp/database.lisp.pamphlet
--- axiom-20110301a/src/interp/database.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/database.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,2448 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp database.boot}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-(IN-PACKAGE "BOOT" )
-
-(SETANDFILEQ |$getUnexposedOperations| 'T)
-
-;--% Functions for manipulating MODEMAP DATABASE
-;augLisplibModemapsFromCategory(form is [op,:argl],body,signature) ==
-;  sl := [["$",:"*1"],:[[a,:p] for a in argl
-;    for p in rest $PatternVariableList]]
-;  form:= SUBLIS(sl,form)
-;  body:= SUBLIS(sl,body)
-;  signature:= SUBLIS(sl,signature)
-;  opAlist:= SUBLIS(sl,$domainShell.(1)) or return nil
-;  nonCategorySigAlist:=
-;    mkAlistOfExplicitCategoryOps substitute("*1","$",body)
-;  domainList:=
-;    [[a,m] for a in rest form for m in rest signature |
-;      isCategoryForm(m,$EmptyEnvironment)]
-;  catPredList:= [['ofCategory,:u] for u in [["*1",form],:domainList]]
-;  for (entry:= [[op,sig,:.],pred,sel]) in opAlist |
-;    MEMBER(sig,LASSOC(op,nonCategorySigAlist)) repeat
-;      pred':= MKPF([pred,:catPredList],'AND)
-;      modemap:= [["*1",:sig],[pred',sel]]
-;      $lisplibModemapAlist:=
-;        [[op,:interactiveModemapForm modemap],:$lisplibModemapAlist]
-
-(DEFUN |augLisplibModemapsFromCategory| (|form| |body| |signature|)
-  (PROG (|argl| |sl| |opAlist| |nonCategorySigAlist| |domainList|
-                |catPredList| |op| |sig| |pred| |sel| |pred'|
-                |modemap|)
-    (DECLARE (SPECIAL |$lisplibModemapAlist| |$EmptyEnvironment|
-                      |$domainShell| |$PatternVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (SPADLET |sl|
-                      (CONS (CONS '$ '*1)
-                            (PROG (G166082)
-                              (SPADLET G166082 NIL)
-                              (RETURN
-                                (DO ((G166088 |argl| (CDR G166088))
-                                     (|a| NIL)
-                                     (G166089
-                                      (CDR |$PatternVariableList|)
-                                      (CDR G166089))
-                                     (|p| NIL))
-                                    ((OR (ATOM G166088)
-                                      (PROGN
-                                        (SETQ |a| (CAR G166088))
-                                        NIL)
-                                      (ATOM G166089)
-                                      (PROGN
-                                        (SETQ |p| (CAR G166089))
-                                        NIL))
-                                     (NREVERSE0 G166082))
-                                  (SEQ (EXIT
-                                        (SETQ G166082
-                                         (CONS (CONS |a| |p|)
-                                          G166082)))))))))
-             (SPADLET |form| (SUBLIS |sl| |form|))
-             (SPADLET |body| (SUBLIS |sl| |body|))
-             (SPADLET |signature| (SUBLIS |sl| |signature|))
-             (SPADLET |opAlist|
-                      (OR (SUBLIS |sl| (ELT |$domainShell| 1))
-                          (RETURN NIL)))
-             (SPADLET |nonCategorySigAlist|
-                      (|mkAlistOfExplicitCategoryOps|
-                          (MSUBST '*1 '$ |body|)))
-             (SPADLET |domainList|
-                      (PROG (G166104)
-                        (SPADLET G166104 NIL)
-                        (RETURN
-                          (DO ((G166111 (CDR |form|) (CDR G166111))
-                               (|a| NIL)
-                               (G166112 (CDR |signature|)
-                                   (CDR G166112))
-                               (|m| NIL))
-                              ((OR (ATOM G166111)
-                                   (PROGN
-                                     (SETQ |a| (CAR G166111))
-                                     NIL)
-                                   (ATOM G166112)
-                                   (PROGN
-                                     (SETQ |m| (CAR G166112))
-                                     NIL))
-                               (NREVERSE0 G166104))
-                            (SEQ (EXIT (COND
-                                         ((|isCategoryForm| |m|
-                                           |$EmptyEnvironment|)
-                                          (SETQ G166104
-                                           (CONS
-                                            (CONS |a| (CONS |m| NIL))
-                                            G166104))))))))))
-             (SPADLET |catPredList|
-                      (PROG (G166125)
-                        (SPADLET G166125 NIL)
-                        (RETURN
-                          (DO ((G166130
-                                   (CONS (CONS '*1 (CONS |form| NIL))
-                                    |domainList|)
-                                   (CDR G166130))
-                               (|u| NIL))
-                              ((OR (ATOM G166130)
-                                   (PROGN
-                                     (SETQ |u| (CAR G166130))
-                                     NIL))
-                               (NREVERSE0 G166125))
-                            (SEQ (EXIT (SETQ G166125
-                                        (CONS (CONS '|ofCategory| |u|)
-                                         G166125))))))))
-             (DO ((G166144 |opAlist| (CDR G166144)) (|entry| NIL))
-                 ((OR (ATOM G166144)
-                      (PROGN (SETQ |entry| (CAR G166144)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAAR |entry|))
-                          (SPADLET |sig| (CADAR |entry|))
-                          (SPADLET |pred| (CADR |entry|))
-                          (SPADLET |sel| (CADDR |entry|))
-                          |entry|)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((|member| |sig|
-                                 (LASSOC |op| |nonCategorySigAlist|))
-                             (PROGN
-                               (SPADLET |pred'|
-                                        (MKPF
-                                         (CONS |pred| |catPredList|)
-                                         'AND))
-                               (SPADLET |modemap|
-                                        (CONS (CONS '*1 |sig|)
-                                         (CONS
-                                          (CONS |pred'|
-                                           (CONS |sel| NIL))
-                                          NIL)))
-                               (SPADLET |$lisplibModemapAlist|
-                                        (CONS
-                                         (CONS |op|
-                                          (|interactiveModemapForm|
-                                           |modemap|))
-                                         |$lisplibModemapAlist|)))))))))))))
-
-;augmentLisplibModemapsFromFunctor(form,opAlist,signature) ==
-;  form:= [formOp,:argl]:= formal2Pattern form
-;  opAlist:= formal2Pattern opAlist
-;  signature:= formal2Pattern signature
-;  for u in form for v in signature repeat
-;    if MEMQ(u,$PatternVariableList) then
-;      -- we are going to be EVALing categories containing these
-;      -- pattern variables
-;      $e:=put(u,'mode,v,$e)
-;  nonCategorySigAlist:=
-;    mkAlistOfExplicitCategoryOps first signature or return nil
-;  for (entry:= [[op,sig,:.],pred,sel]) in opAlist |
-;    or/[(sig in catSig) for catSig in
-;      allLASSOCs(op,nonCategorySigAlist)] repeat
-;        skip:=
-;          argl and CONTAINED("$",rest sig) => 'SKIP
-;          nil
-;        sel:= substitute(form,"$",sel)
-;        patternList:= listOfPatternIds sig
-;        --get relevant predicates
-;        predList:=
-;          [[a,m] for a in argl for m in rest signature
-;            | MEMQ(a,$PatternVariableList)]
-;        sig:= substitute(form,"$",sig)
-;        pred':= MKPF([pred,:[mkDatabasePred y for y in predList]],'AND)
-;        l:=listOfPatternIds predList
-;        if "OR"/[null MEMQ(u,l) for u in argl] then
-;          sayMSG ['"cannot handle modemap for",:bright op,
-;                          '"by pattern match" ]
-;          skip:= 'SKIP
-;        modemap:= [[form,:sig],[pred',sel,:skip]]
-;        $lisplibModemapAlist:= [[op,:interactiveModemapForm modemap],
-;          :$lisplibModemapAlist]
-
-(DEFUN |augmentLisplibModemapsFromFunctor|
-       (|form| |opAlist| |signature|)
-  (PROG (|LETTMP#1| |formOp| |argl| |nonCategorySigAlist| |op| |pred|
-            |sel| |patternList| |predList| |sig| |pred'| |l| |skip|
-            |modemap|)
-    (DECLARE (SPECIAL |$lisplibModemapAlist| |$PatternVariableList|
-                      |$e|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form|
-                      (PROGN
-                        (SPADLET |LETTMP#1| (|formal2Pattern| |form|))
-                        (SPADLET |formOp| (CAR |LETTMP#1|))
-                        (SPADLET |argl| (CDR |LETTMP#1|))
-                        |LETTMP#1|))
-             (SPADLET |opAlist| (|formal2Pattern| |opAlist|))
-             (SPADLET |signature| (|formal2Pattern| |signature|))
-             (DO ((G166194 |form| (CDR G166194)) (|u| NIL)
-                  (G166195 |signature| (CDR G166195)) (|v| NIL))
-                 ((OR (ATOM G166194)
-                      (PROGN (SETQ |u| (CAR G166194)) NIL)
-                      (ATOM G166195)
-                      (PROGN (SETQ |v| (CAR G166195)) NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((member |u| |$PatternVariableList|)
-                             (SPADLET |$e|
-                                      (|put| |u| '|mode| |v| |$e|)))
-                            ('T NIL)))))
-             (SPADLET |nonCategorySigAlist|
-                      (OR (|mkAlistOfExplicitCategoryOps|
-                              (CAR |signature|))
-                          (RETURN NIL)))
-             (DO ((G166219 |opAlist| (CDR G166219)) (|entry| NIL))
-                 ((OR (ATOM G166219)
-                      (PROGN (SETQ |entry| (CAR G166219)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAAR |entry|))
-                          (SPADLET |sig| (CADAR |entry|))
-                          (SPADLET |pred| (CADR |entry|))
-                          (SPADLET |sel| (CADDR |entry|))
-                          |entry|)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((PROG (G166226)
-                               (SPADLET G166226 NIL)
-                               (RETURN
-                                 (DO ((G166232 NIL G166226)
-                                      (G166233
-                                       (|allLASSOCs| |op|
-                                        |nonCategorySigAlist|)
-                                       (CDR G166233))
-                                      (|catSig| NIL))
-                                     ((OR G166232 (ATOM G166233)
-                                       (PROGN
-                                         (SETQ |catSig|
-                                          (CAR G166233))
-                                         NIL))
-                                      G166226)
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166226
-                                      (OR G166226
-                                       (|member| |sig| |catSig|))))))))
-                             (PROGN
-                               (SPADLET |skip|
-                                        (COND
-                                          ((AND |argl|
-                                            (CONTAINED '$ (CDR |sig|)))
-                                           'SKIP)
-                                          ('T NIL)))
-                               (SPADLET |sel| (MSUBST |form| '$ |sel|))
-                               (SPADLET |patternList|
-                                        (|listOfPatternIds| |sig|))
-                               (SPADLET |predList|
-                                        (PROG (G166246)
-                                          (SPADLET G166246 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((G166253 |argl|
-                                               (CDR G166253))
-                                              (|a| NIL)
-                                              (G166254
-                                               (CDR |signature|)
-                                               (CDR G166254))
-                                              (|m| NIL))
-                                             ((OR (ATOM G166253)
-                                               (PROGN
-                                                 (SETQ |a|
-                                                  (CAR G166253))
-                                                 NIL)
-                                               (ATOM G166254)
-                                               (PROGN
-                                                 (SETQ |m|
-                                                  (CAR G166254))
-                                                 NIL))
-                                              (NREVERSE0 G166246))
-                                              (SEQ
-                                               (EXIT
-                                                (COND
-                                                  ((member |a|
-                                                    |$PatternVariableList|)
-                                                   (SETQ G166246
-                                                    (CONS
-                                                     (CONS |a|
-                                                      (CONS |m| NIL))
-                                                     G166246))))))))))
-                               (SPADLET |sig| (MSUBST |form| '$ |sig|))
-                               (SPADLET |pred'|
-                                        (MKPF
-                                         (CONS |pred|
-                                          (PROG (G166267)
-                                            (SPADLET G166267 NIL)
-                                            (RETURN
-                                              (DO
-                                               ((G166272 |predList|
-                                                 (CDR G166272))
-                                                (|y| NIL))
-                                               ((OR (ATOM G166272)
-                                                 (PROGN
-                                                   (SETQ |y|
-                                                    (CAR G166272))
-                                                   NIL))
-                                                (NREVERSE0 G166267))
-                                                (SEQ
-                                                 (EXIT
-                                                  (SETQ G166267
-                                                   (CONS
-                                                    (|mkDatabasePred|
-                                                     |y|)
-                                                    G166267))))))))
-                                         'AND))
-                               (SPADLET |l|
-                                        (|listOfPatternIds| |predList|))
-                               (COND
-                                 ((PROG (G166278)
-                                    (SPADLET G166278 NIL)
-                                    (RETURN
-                                      (DO
-                                       ((G166284 NIL G166278)
-                                        (G166285 |argl|
-                                         (CDR G166285))
-                                        (|u| NIL))
-                                       ((OR G166284 (ATOM G166285)
-                                         (PROGN
-                                           (SETQ |u| (CAR G166285))
-                                           NIL))
-                                        G166278)
-                                        (SEQ
-                                         (EXIT
-                                          (SETQ G166278
-                                           (OR G166278
-                                            (NULL (member |u| |l|)))))))))
-                                  (|sayMSG|
-                                      (CONS "cannot handle modemap for"
-                                       (APPEND (|bright| |op|)
-                                        (CONS "by pattern match" NIL))))
-                                  (SPADLET |skip| 'SKIP)))
-                               (SPADLET |modemap|
-                                        (CONS (CONS |form| |sig|)
-                                         (CONS
-                                          (CONS |pred'|
-                                           (CONS |sel| |skip|))
-                                          NIL)))
-                               (SPADLET |$lisplibModemapAlist|
-                                        (CONS
-                                         (CONS |op|
-                                          (|interactiveModemapForm|
-                                           |modemap|))
-                                         |$lisplibModemapAlist|)))))))))))))
-
-;buildDatabase(filemode,expensive) ==
-;  $InteractiveMode: local:= true
-;  $constructorList := nil       --looked at by buildLibdb
-;  $ConstructorCache:= MAKE_-HASHTABLE('ID)
-;  SAY '"Making constructor autoload"
-;  makeConstructorsAutoLoad()
-;  SAY '"Building category table"
-;  genCategoryTable()
-;  SAY '"Building libdb.text"
-;  buildLibdb()
-;  SAY '"splitting libdb.text"
-;  dbSplitLibdb()
-;  SAY '"creating browse constructor index"
-;  dbAugmentConstructorDataTable()
-;  SAY '"Building browse.lisp"
-;  buildBrowsedb()
-;  SAY '"Building constructor users database"
-;  mkUsersHashTable()
-;  SAY '"Saving constructor users database"
-;  saveUsersHashTable()
-;  SAY '"Building constructor dependents database"
-;  mkDependentsHashTable()
-;  SAY '"Saving constructor dependents database"
-;  saveDependentsHashTable()
-;  SAY '"Building glossary files"
-;  buildGloss()
-
-(DEFUN |buildDatabase| (|filemode| |expensive|)
-  (declare (ignore |filemode| |expensive|))
-  (PROG (|$InteractiveMode|)
-    (DECLARE (SPECIAL |$InteractiveMode| |$ConstructorCache|
-                      |$constructorList|))
-    (RETURN
-      (PROGN
-        (SPADLET |$InteractiveMode| 'T)
-        (SPADLET |$constructorList| NIL)
-        (SPADLET |$ConstructorCache| (MAKE-HASHTABLE 'ID))
-        (SAY "Making constructor autoload")
-        (|makeConstructorsAutoLoad|)
-        (SAY "Building category table")
-        (|genCategoryTable|)
-        (SAY "Building libdb.text")
-        (|buildLibdb|)
-        (SAY "splitting libdb.text")
-        (|dbSplitLibdb|)
-        (SAY "creating browse constructor index")
-        (|dbAugmentConstructorDataTable|)
-        (SAY "Building browse.lisp")
-        (|buildBrowsedb|)
-        (SAY "Building constructor users database")
-        (|mkUsersHashTable|)
-        (SAY "Saving constructor users database")
-        (|saveUsersHashTable|)
-        (SAY "Building constructor dependents database")
-        (|mkDependentsHashTable|)
-        (SAY "Saving constructor dependents database")
-        (|saveDependentsHashTable|)
-        (SAY "Building glossary files")
-        (|buildGloss|)))))
-
-;saveUsersHashTable() ==
-;  _$ERASE('users,'DATABASE,'a)
-;  stream:= writeLib1('users,'DATABASE,'a)
-;  for k in MSORT HKEYS $usersTb repeat
-;    rwrite(k, HGET($usersTb, k), stream)
-;  RSHUT stream
-
-(DEFUN |saveUsersHashTable| ()
-  (PROG (|stream|)
-    (DECLARE (SPECIAL |$usersTb| $ERASE))
-    (RETURN
-      (SEQ (PROGN
-             ($ERASE '|users| 'DATABASE '|a|)
-             (SPADLET |stream| (|writeLib1| '|users| 'DATABASE '|a|))
-             (DO ((G166334 (MSORT (HKEYS |$usersTb|))
-                      (CDR G166334))
-                  (|k| NIL))
-                 ((OR (ATOM G166334)
-                      (PROGN (SETQ |k| (CAR G166334)) NIL))
-                  NIL)
-               (SEQ (EXIT (|rwrite| |k| (HGET |$usersTb| |k|) |stream|))))
-             (RSHUT |stream|))))))
-
-;saveDependentsHashTable() ==
-;  _$ERASE('dependents,'DATABASE,'a)
-;  stream:= writeLib1('dependents,'DATABASE,'a)
-;  for k in MSORT HKEYS $depTb repeat
-;    rwrite(k, HGET($depTb, k), stream)
-;  RSHUT stream
-
-(DEFUN |saveDependentsHashTable| ()
-  (PROG (|stream|)
-    (DECLARE (SPECIAL |$depTb| $ERASE))
-    (RETURN
-      (SEQ (PROGN
-             ($ERASE '|dependents| 'DATABASE '|a|)
-             (SPADLET |stream|
-                      (|writeLib1| '|dependents| 'DATABASE '|a|))
-             (DO ((G166348 (MSORT (HKEYS |$depTb|)) (CDR G166348))
-                  (|k| NIL))
-                 ((OR (ATOM G166348)
-                      (PROGN (SETQ |k| (CAR G166348)) NIL))
-                  NIL)
-               (SEQ (EXIT (|rwrite| |k| (HGET |$depTb| |k|) |stream|))))
-             (RSHUT |stream|))))))
-
-;getUsersOfConstructor(con) ==
-;  stream := readLib1('users, 'DATABASE, 'a)
-;  val := rread(con, stream, nil)
-;  RSHUT stream
-;  val
-
-(DEFUN |getUsersOfConstructor| (|con|)
-  (PROG (|stream| |val|)
-    (RETURN
-      (PROGN
-        (SPADLET |stream| (|readLib1| '|users| 'DATABASE '|a|))
-        (SPADLET |val| (|rread| |con| |stream| NIL))
-        (RSHUT |stream|)
-        |val|))))
-
-;getDependentsOfConstructor(con) ==
-;  stream := readLib1('dependents, 'DATABASE, 'a)
-;  val := rread(con, stream, nil)
-;  RSHUT stream
-;  val
-
-(DEFUN |getDependentsOfConstructor| (|con|)
-  (PROG (|stream| |val|)
-    (RETURN
-      (PROGN
-        (SPADLET |stream| (|readLib1| '|dependents| 'DATABASE '|a|))
-        (SPADLET |val| (|rread| |con| |stream| NIL))
-        (RSHUT |stream|)
-        |val|))))
-
-;orderPredicateItems(pred1,sig,skip) ==
-;  pred:= signatureTran pred1
-;  pred is ["AND",:l] => orderPredTran(l,sig,skip)
-;  pred
-
-(DEFUN |orderPredicateItems| (|pred1| |sig| |skip|)
-  (PROG (|pred| |l|)
-    (RETURN
-      (PROGN
-        (SPADLET |pred| (|signatureTran| |pred1|))
-        (COND
-          ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
-                (PROGN (SPADLET |l| (QCDR |pred|)) 'T))
-           (|orderPredTran| |l| |sig| |skip|))
-          ('T |pred|))))))
-
-;orderPredTran(oldList,sig,skip) ==
-;  lastPreds:=nil
-;  --(1) make two kinds of predicates appear last:
-;  -----  (op *target ..) when *target does not appear later in sig
-;  -----  (isDomain *1 ..)
-;  for pred in oldList repeat
-;    ((pred is [op,pvar,.] and MEMQ(op,'(isDomain ofCategory))
-;       and pvar=first sig and ^(pvar in rest sig)) or
-;        (^skip and pred is ['isDomain,pvar,.] and pvar="*1")) =>
-;          oldList:=DELETE(pred,oldList)
-;          lastPreds:=[pred,:lastPreds]
-;--sayBrightlyNT "lastPreds="
-;--pp lastPreds
-;  --(2a) lastDependList=list of all variables that lastPred forms depend upon
-;  lastDependList := "UNIONQ"/[listOfPatternIds x for x in lastPreds]
-;--sayBrightlyNT "lastDependList="
-;--pp lastDependList
-;  --(2b) dependList=list of all variables that isDom/ofCat forms depend upon
-;  dependList :=
-;    "UNIONQ"/[listOfPatternIds y for x in oldList |
-;      x is ['isDomain,.,y] or x is ['ofCategory,.,y]]
-;--sayBrightlyNT "dependList="
-;--pp dependList
-;  --(3a) newList= list of ofCat/isDom entries that don't depend on
-;  for x in oldList repeat
-;    if (x is ['ofCategory,v,body]) or (x is ['isDomain,v,body]) then
-;      indepvl:=listOfPatternIds v
-;      depvl:=listOfPatternIds body
-;    else
-;      indepvl := listOfPatternIds x
-;      depvl := nil
-;    (INTERSECTIONQ(indepvl,dependList) = nil)
-;        and INTERSECTIONQ(indepvl,lastDependList) =>
-;      somethingDone := true
-;      lastPreds := [:lastPreds,x]
-;      oldList := DELETE(x,oldList)
-;--if somethingDone then
-;--  sayBrightlyNT "Again lastPreds="
-;--  pp lastPreds
-;--  sayBrightlyNT "Again oldList="
-;--  pp oldList
-;  --(3b) newList= list of ofCat/isDom entries that don't depend on
-;  while oldList repeat
-;    for x in oldList repeat
-;      if (x is ['ofCategory,v,body]) or (x is ['isDomain,v,body]) then
-;        indepvl:=listOfPatternIds v
-;        depvl:=listOfPatternIds body
-;      else
-;        indepvl := listOfPatternIds x
-;        depvl := nil
-;      (INTERSECTIONQ(indepvl,dependList) = nil) =>
-;        dependList:= setDifference(dependList,depvl)
-;        newList:= [:newList,x]
-;--  sayBrightlyNT "newList="
-;--  pp newList
-;  --(4) noldList= what is left over
-;    (noldList:= setDifference(oldList,newList)) = oldList =>
-;--    sayMSG '"NOTE: Parameters to domain have circular dependencies"
-;      newList := [:newList,:oldList]
-;      return nil
-;    oldList:=noldList
-;--  sayBrightlyNT "noldList="
-;--  pp noldList
-;  for pred in newList repeat
-;    if pred is ['isDomain,x,y] or x is ['ofCategory,x,y] then
-;      ids:= listOfPatternIds y
-;      if and/[id in fullDependList for id in ids] then
-;        fullDependList:= insertWOC(x,fullDependList)
-;      fullDependList:= UNIONQ(fullDependList,ids)
-;  newList:=[:newList,:lastPreds]
-;--substitute (isDomain ..) forms as completely as possible to avoid false paths
-;  newList := isDomainSubst newList
-;  answer := [['AND,:newList],:INTERSECTIONQ(fullDependList,sig)]
-
-(DEFUN |orderPredTran| (|oldList| |sig| |skip|)
-  (PROG (|op| |pvar| |lastDependList| |somethingDone| |lastPreds| |v|
-              |body| |indepvl| |depvl| |dependList| |noldList|
-              |ISTMP#1| |x| |ISTMP#2| |y| |ids| |fullDependList|
-              |newList| |answer|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |lastPreds| NIL)
-             (SEQ (DO ((G166547 |oldList| (CDR G166547))
-                       (|pred| NIL))
-                      ((OR (ATOM G166547)
-                           (PROGN (SETQ |pred| (CAR G166547)) NIL))
-                       NIL)
-                    (SEQ (EXIT (COND
-                                 ((OR (AND (PAIRP |pred|)
-                                       (PROGN
-                                         (SPADLET |op| (QCAR |pred|))
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |pred|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |pvar|
-                                             (QCAR |ISTMP#1|))
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)))))
-                                       (member |op|
-                                        '(|isDomain| |ofCategory|))
-                                       (BOOT-EQUAL |pvar| (CAR |sig|))
-                                       (NULL
-                                        (|member| |pvar| (CDR |sig|))))
-                                      (AND (NULL |skip|) (PAIRP |pred|)
-                                       (EQ (QCAR |pred|) '|isDomain|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |pred|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |pvar|
-                                             (QCAR |ISTMP#1|))
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)))))
-                                       (BOOT-EQUAL |pvar| '*1)))
-                                  (EXIT (PROGN
-                                          (SPADLET |oldList|
-                                           (|delete| |pred| |oldList|))
-                                          (SPADLET |lastPreds|
-                                           (CONS |pred| |lastPreds|)))))))))
-                  (SPADLET |lastDependList|
-                           (PROG (G166553)
-                             (SPADLET G166553 NIL)
-                             (RETURN
-                               (DO ((G166558 |lastPreds|
-                                     (CDR G166558))
-                                    (|x| NIL))
-                                   ((OR (ATOM G166558)
-                                     (PROGN
-                                       (SETQ |x| (CAR G166558))
-                                       NIL))
-                                    G166553)
-                                 (SEQ (EXIT
-                                       (SETQ G166553
-                                        (UNIONQ G166553
-                                         (|listOfPatternIds| |x|)))))))))
-                  (SPADLET |dependList|
-                           (PROG (G166564)
-                             (SPADLET G166564 NIL)
-                             (RETURN
-                               (DO ((G166570 |oldList|
-                                     (CDR G166570))
-                                    (|x| NIL))
-                                   ((OR (ATOM G166570)
-                                     (PROGN
-                                       (SETQ |x| (CAR G166570))
-                                       NIL))
-                                    G166564)
-                                 (SEQ (EXIT
-                                       (COND
-                                         ((OR
-                                           (AND (PAIRP |x|)
-                                            (EQ (QCAR |x|) '|isDomain|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#1|
-                                               (QCDR |x|))
-                                              (AND (PAIRP |ISTMP#1|)
-                                               (PROGN
-                                                 (SPADLET |ISTMP#2|
-                                                  (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
-                                                  (EQ (QCDR |ISTMP#2|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET |y|
-                                                     (QCAR |ISTMP#2|))
-                                                    'T))))))
-                                           (AND (PAIRP |x|)
-                                            (EQ (QCAR |x|)
-                                             '|ofCategory|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#1|
-                                               (QCDR |x|))
-                                              (AND (PAIRP |ISTMP#1|)
-                                               (PROGN
-                                                 (SPADLET |ISTMP#2|
-                                                  (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
-                                                  (EQ (QCDR |ISTMP#2|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET |y|
-                                                     (QCAR |ISTMP#2|))
-                                                    'T)))))))
-                                          (SETQ G166564
-                                           (UNIONQ G166564
-                                            (|listOfPatternIds| |y|)))))))))))
-                  (DO ((G166598 |oldList| (CDR G166598)) (|x| NIL))
-                      ((OR (ATOM G166598)
-                           (PROGN (SETQ |x| (CAR G166598)) NIL))
-                       NIL)
-                    (SEQ (EXIT (PROGN
-                                 (COND
-                                   ((OR
-                                     (AND (PAIRP |x|)
-                                      (EQ (QCAR |x|) '|ofCategory|)
-                                      (PROGN
-                                        (SPADLET |ISTMP#1| (QCDR |x|))
-                                        (AND (PAIRP |ISTMP#1|)
-                                         (PROGN
-                                           (SPADLET |v|
-                                            (QCAR |ISTMP#1|))
-                                           (SPADLET |ISTMP#2|
-                                            (QCDR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
-                                            (EQ (QCDR |ISTMP#2|) NIL)
-                                            (PROGN
-                                              (SPADLET |body|
-                                               (QCAR |ISTMP#2|))
-                                              'T))))))
-                                     (AND (PAIRP |x|)
-                                      (EQ (QCAR |x|) '|isDomain|)
-                                      (PROGN
-                                        (SPADLET |ISTMP#1| (QCDR |x|))
-                                        (AND (PAIRP |ISTMP#1|)
-                                         (PROGN
-                                           (SPADLET |v|
-                                            (QCAR |ISTMP#1|))
-                                           (SPADLET |ISTMP#2|
-                                            (QCDR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
-                                            (EQ (QCDR |ISTMP#2|) NIL)
-                                            (PROGN
-                                              (SPADLET |body|
-                                               (QCAR |ISTMP#2|))
-                                              'T)))))))
-                                    (SPADLET |indepvl|
-                                     (|listOfPatternIds| |v|))
-                                    (SPADLET |depvl|
-                                     (|listOfPatternIds| |body|)))
-                                   ('T
-                                    (SPADLET |indepvl|
-                                     (|listOfPatternIds| |x|))
-                                    (SPADLET |depvl| NIL)))
-                                 (COND
-                                   ((AND
-                                     (NULL
-                                      (INTERSECTIONQ |indepvl|
-                                       |dependList|))
-                                     (INTERSECTIONQ |indepvl|
-                                      |lastDependList|))
-                                    (PROGN
-                                      (SPADLET |somethingDone| 'T)
-                                      (SPADLET |lastPreds|
-                                       (APPEND |lastPreds|
-                                        (CONS |x| NIL)))
-                                      (SPADLET |oldList|
-                                       (|delete| |x| |oldList|)))))))))
-                  (DO () ((NULL |oldList|) NIL)
-                    (SEQ (EXIT (PROGN
-                                 (DO ((G166651 |oldList|
-                                       (CDR G166651))
-                                      (|x| NIL))
-                                     ((OR (ATOM G166651)
-                                       (PROGN
-                                         (SETQ |x| (CAR G166651))
-                                         NIL))
-                                      NIL)
-                                   (SEQ
-                                    (EXIT
-                                     (PROGN
-                                       (COND
-                                         ((OR
-                                           (AND (PAIRP |x|)
-                                            (EQ (QCAR |x|)
-                                             '|ofCategory|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#1|
-                                               (QCDR |x|))
-                                              (AND (PAIRP |ISTMP#1|)
-                                               (PROGN
-                                                 (SPADLET |v|
-                                                  (QCAR |ISTMP#1|))
-                                                 (SPADLET |ISTMP#2|
-                                                  (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
-                                                  (EQ (QCDR |ISTMP#2|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET |body|
-                                                     (QCAR |ISTMP#2|))
-                                                    'T))))))
-                                           (AND (PAIRP |x|)
-                                            (EQ (QCAR |x|) '|isDomain|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#1|
-                                               (QCDR |x|))
-                                              (AND (PAIRP |ISTMP#1|)
-                                               (PROGN
-                                                 (SPADLET |v|
-                                                  (QCAR |ISTMP#1|))
-                                                 (SPADLET |ISTMP#2|
-                                                  (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
-                                                  (EQ (QCDR |ISTMP#2|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET |body|
-                                                     (QCAR |ISTMP#2|))
-                                                    'T)))))))
-                                          (SPADLET |indepvl|
-                                           (|listOfPatternIds| |v|))
-                                          (SPADLET |depvl|
-                                           (|listOfPatternIds| |body|)))
-                                         ('T
-                                          (SPADLET |indepvl|
-                                           (|listOfPatternIds| |x|))
-                                          (SPADLET |depvl| NIL)))
-                                       (COND
-                                         ((NULL
-                                           (INTERSECTIONQ |indepvl|
-                                            |dependList|))
-                                          (PROGN
-                                            (SPADLET |dependList|
-                                             (SETDIFFERENCE
-                                              |dependList| |depvl|))
-                                            (SPADLET |newList|
-                                             (APPEND |newList|
-                                              (CONS |x| NIL))))))))))
-                                 (COND
-                                   ((BOOT-EQUAL
-                                     (SPADLET |noldList|
-                                      (SETDIFFERENCE |oldList|
-                                       |newList|))
-                                     |oldList|)
-                                    (SPADLET |newList|
-                                     (APPEND |newList| |oldList|))
-                                    (RETURN NIL))
-                                   ('T (SPADLET |oldList| |noldList|)))))))
-                  (DO ((G166674 |newList| (CDR G166674))
-                       (|pred| NIL))
-                      ((OR (ATOM G166674)
-                           (PROGN (SETQ |pred| (CAR G166674)) NIL))
-                       NIL)
-                    (SEQ (EXIT (COND
-                                 ((OR (AND (PAIRP |pred|)
-                                       (EQ (QCAR |pred|) '|isDomain|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |pred|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |x|
-                                             (QCAR |ISTMP#1|))
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (PROGN
-                                               (SPADLET |y|
-                                                (QCAR |ISTMP#2|))
-                                               'T))))))
-                                      (AND (PAIRP |x|)
-                                       (EQ (QCAR |x|) '|ofCategory|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |x|
-                                             (QCAR |ISTMP#1|))
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (PROGN
-                                               (SPADLET |y|
-                                                (QCAR |ISTMP#2|))
-                                               'T)))))))
-                                  (SPADLET |ids|
-                                           (|listOfPatternIds| |y|))
-                                  (COND
-                                    ((PROG (G166680)
-                                       (SPADLET G166680 'T)
-                                       (RETURN
-                                         (DO
-                                          ((G166686 NIL
-                                            (NULL G166680))
-                                           (G166687 |ids|
-                                            (CDR G166687))
-                                           (|id| NIL))
-                                          ((OR G166686
-                                            (ATOM G166687)
-                                            (PROGN
-                                              (SETQ |id|
-                                               (CAR G166687))
-                                              NIL))
-                                           G166680)
-                                           (SEQ
-                                            (EXIT
-                                             (SETQ G166680
-                                              (AND G166680
-                                               (|member| |id|
-                                                |fullDependList|))))))))
-                                     (SPADLET |fullDependList|
-                                      (|insertWOC| |x|
-                                       |fullDependList|))))
-                                  (SPADLET |fullDependList|
-                                           (UNIONQ |fullDependList|
-                                            |ids|)))
-                                 ('T NIL)))))
-                  (SPADLET |newList| (APPEND |newList| |lastPreds|))
-                  (SPADLET |newList| (|isDomainSubst| |newList|))
-                  (SPADLET |answer|
-                           (CONS (CONS 'AND |newList|)
-                                 (INTERSECTIONQ |fullDependList| |sig|)))))))))
-
-;--sayBrightlyNT '"answer="
-;--pp answer
-;isDomainSubst u == main where
-;  main ==
-;    u is [head,:tail] =>
-;      nhead :=
-;        head is ['isDomain,x,y] => ['isDomain,x,fn(y,tail)]
-;        head
-;      [nhead,:isDomainSubst rest u]
-;    u
-;  fn(x,alist) ==
-;    atom x =>
-;      IDENTP x and MEMQ(x,$PatternVariableList) and (s := findSub(x,alist)) => s
-;      x
-;    [CAR x,:[fn(y,alist) for y in CDR x]]
-;  findSub(x,alist) ==
-;    null alist => nil
-;    alist is [['isDomain,y,z],:.] and x = y => z
-;    findSub(x,rest alist)
-
-(DEFUN |isDomainSubst,findSub| (|x| |alist|)
-  (PROG (|ISTMP#1| |ISTMP#2| |y| |ISTMP#3| |z|)
-    (RETURN
-      (SEQ (IF (NULL |alist|) (EXIT NIL))
-           (IF (AND (AND (PAIRP |alist|)
-                         (PROGN
-                           (SPADLET |ISTMP#1| (QCAR |alist|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (EQ (QCAR |ISTMP#1|) '|isDomain|)
-                                (PROGN
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (PROGN
-                                         (SPADLET |y| (QCAR |ISTMP#2|))
-                                         (SPADLET |ISTMP#3|
-                                          (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
-                                          (EQ (QCDR |ISTMP#3|) NIL)
-                                          (PROGN
-                                            (SPADLET |z|
-                                             (QCAR |ISTMP#3|))
-                                            'T))))))))
-                    (BOOT-EQUAL |x| |y|))
-               (EXIT |z|))
-           (EXIT (|isDomainSubst,findSub| |x| (CDR |alist|)))))))
-
-(DEFUN |isDomainSubst,fn| (|x| |alist|)
-  (PROG (|s|)
-    (DECLARE (SPECIAL |$PatternVariableList|))
-    (RETURN
-      (SEQ (IF (ATOM |x|)
-               (EXIT (SEQ (IF (AND (AND (IDENTP |x|)
-                                    (member |x| |$PatternVariableList|))
-                                   (SPADLET |s|
-                                    (|isDomainSubst,findSub| |x|
-                                     |alist|)))
-                              (EXIT |s|))
-                          (EXIT |x|))))
-           (EXIT (CONS (CAR |x|)
-                       (PROG (G166826)
-                         (SPADLET G166826 NIL)
-                         (RETURN
-                           (DO ((G166831 (CDR |x|) (CDR G166831))
-                                (|y| NIL))
-                               ((OR (ATOM G166831)
-                                    (PROGN
-                                      (SETQ |y| (CAR G166831))
-                                      NIL))
-                                (NREVERSE0 G166826))
-                             (SEQ (EXIT (SETQ G166826
-                                         (CONS
-                                          (|isDomainSubst,fn| |y|
-                                           |alist|)
-                                          G166826)))))))))))))
-
-(DEFUN |isDomainSubst| (|u|)
-  (PROG (|head| |tail| |ISTMP#1| |x| |ISTMP#2| |y| |nhead|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|)
-              (PROGN
-                (SPADLET |head| (QCAR |u|))
-                (SPADLET |tail| (QCDR |u|))
-                'T))
-         (SPADLET |nhead|
-                  (COND
-                    ((AND (PAIRP |head|) (EQ (QCAR |head|) '|isDomain|)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |head|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (PROGN
-                                   (SPADLET |x| (QCAR |ISTMP#1|))
-                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCDR |ISTMP#2|) NIL)
-                                    (PROGN
-                                      (SPADLET |y| (QCAR |ISTMP#2|))
-                                      'T))))))
-                     (CONS '|isDomain|
-                           (CONS |x|
-                                 (CONS (|isDomainSubst,fn| |y| |tail|)
-                                       NIL))))
-                    ('T |head|)))
-         (CONS |nhead| (|isDomainSubst| (CDR |u|))))
-        ('T |u|)))))
-
-;signatureTran pred ==
-;  atom pred => pred
-;  pred is ['has,D,catForm] and isCategoryForm(catForm,$e) =>
-;    ['ofCategory,D,catForm]
-;  [signatureTran p for p in pred]
-
-(DEFUN |signatureTran| (|pred|)
-  (PROG (|ISTMP#1| D |ISTMP#2| |catForm|)
-    (DECLARE (SPECIAL |$e|))
-    (RETURN
-      (SEQ (COND
-             ((ATOM |pred|) |pred|)
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|has|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET D (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |catForm| (QCAR |ISTMP#2|))
-                                   'T)))))
-                   (|isCategoryForm| |catForm| |$e|))
-              (CONS '|ofCategory| (CONS D (CONS |catForm| NIL))))
-             ('T
-              (PROG (G166884)
-                (SPADLET G166884 NIL)
-                (RETURN
-                  (DO ((G166889 |pred| (CDR G166889)) (|p| NIL))
-                      ((OR (ATOM G166889)
-                           (PROGN (SETQ |p| (CAR G166889)) NIL))
-                       (NREVERSE0 G166884))
-                    (SEQ (EXIT (SETQ G166884
-                                     (CONS (|signatureTran| |p|)
-                                      G166884)))))))))))))
-
-;interactiveModemapForm mm ==
-;  --  create modemap form for use by the interpreter.  This function
-;  --  replaces all specific domains mentioned in the modemap with pattern
-;  --  variables, and predicates
-;  mm := replaceVars(COPY mm,$PatternVariableList,$FormalMapVariableList)
-;  [pattern:=[dc,:sig],pred] := mm
-;  pred := [fn x for x in pred] where fn x ==
-;    x is [a,b,c] and a ^= 'isFreeFunction and atom c => [a,b,[c]]
-;    x
-;--pp pred
-;  [mmpat, patternAlist, partial, patvars] :=
-;    modemapPattern(pattern,sig)
-;--pp [pattern, mmpat, patternAlist, partial, patvars]
-;  [pred,domainPredicateList] :=
-;    substVars(pred,patternAlist,patvars)
-;--pp [pred,domainPredicateList]
-;  [pred,:dependList]:=
-;    fixUpPredicate(pred,domainPredicateList,partial,rest mmpat)
-;--pp [pred,dependList]
-;  [cond, :.] := pred
-;  [mmpat, cond]
-
-(DEFUN |interactiveModemapForm,fn| (|x|)
-  (PROG (|a| |ISTMP#1| |b| |ISTMP#2| |c|)
-    (RETURN
-      (SEQ (IF (AND (AND (AND (PAIRP |x|)
-                              (PROGN
-                                (SPADLET |a| (QCAR |x|))
-                                (SPADLET |ISTMP#1| (QCDR |x|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |b| (QCAR |ISTMP#1|))
-                                       (SPADLET |ISTMP#2|
-                                        (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (EQ (QCDR |ISTMP#2|) NIL)
-                                        (PROGN
-                                          (SPADLET |c|
-                                           (QCAR |ISTMP#2|))
-                                          'T))))))
-                         (NEQUAL |a| '|isFreeFunction|))
-                    (ATOM |c|))
-               (EXIT (CONS |a| (CONS |b| (CONS (CONS |c| NIL) NIL)))))
-           (EXIT |x|)))))
-
-(DEFUN |interactiveModemapForm| (|mm|)
-  (PROG (|pattern| |dc| |sig| |mmpat| |patternAlist| |partial|
-            |patvars| |domainPredicateList| |LETTMP#1| |pred|
-            |dependList| |cond|)
-    (DECLARE (SPECIAL |$PatternVariableList| |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |mm|
-                      (|replaceVars| (COPY |mm|) |$PatternVariableList|
-                          |$FormalMapVariableList|))
-             (SPADLET |pattern| (CAR |mm|))
-             (SPADLET |dc| (CAAR |mm|))
-             (SPADLET |sig| (CDAR |mm|))
-             (SPADLET |pred| (CADR |mm|))
-             (SPADLET |pred|
-                      (PROG (G166974)
-                        (SPADLET G166974 NIL)
-                        (RETURN
-                          (DO ((G166979 |pred| (CDR G166979))
-                               (|x| NIL))
-                              ((OR (ATOM G166979)
-                                   (PROGN
-                                     (SETQ |x| (CAR G166979))
-                                     NIL))
-                               (NREVERSE0 G166974))
-                            (SEQ (EXIT (SETQ G166974
-                                        (CONS
-                                         (|interactiveModemapForm,fn|
-                                          |x|)
-                                         G166974))))))))
-             (SPADLET |LETTMP#1| (|modemapPattern| |pattern| |sig|))
-             (SPADLET |mmpat| (CAR |LETTMP#1|))
-             (SPADLET |patternAlist| (CADR |LETTMP#1|))
-             (SPADLET |partial| (CADDR |LETTMP#1|))
-             (SPADLET |patvars| (CADDDR |LETTMP#1|))
-             (SPADLET |LETTMP#1|
-                      (|substVars| |pred| |patternAlist| |patvars|))
-             (SPADLET |pred| (CAR |LETTMP#1|))
-             (SPADLET |domainPredicateList| (CADR |LETTMP#1|))
-             (SPADLET |LETTMP#1|
-                      (|fixUpPredicate| |pred| |domainPredicateList|
-                          |partial| (CDR |mmpat|)))
-             (SPADLET |pred| (CAR |LETTMP#1|))
-             (SPADLET |dependList| (CDR |LETTMP#1|))
-             (SPADLET |cond| (CAR |pred|))
-             (CONS |mmpat| (CONS |cond| NIL)))))))
-
-;modemapPattern(mmPattern,sig) ==
-;  --  Returns a list of the pattern of a modemap, an Alist of the
-;  --  substitutions made, a boolean flag indicating whether
-;  --  the result type is partial, and a list of unused pattern variables
-;  patternAlist := nil
-;  mmpat := nil
-;  patvars := $PatternVariableList
-;  partial := false
-;  for xTails in tails mmPattern repeat
-;    x := first xTails
-;    if x is ['Union,dom,tag] and tag = '"failed" and xTails=sig then
-;      x := dom
-;      partial := true
-;    patvar := RASSOC(x,patternAlist)
-;    not null patvar => mmpat := [patvar,:mmpat]
-;    patvar := first patvars
-;    patvars := rest patvars
-;    mmpat := [patvar,:mmpat]
-;    patternAlist := [[patvar,:x],:patternAlist]
-;  [NREVERSE mmpat,patternAlist,partial,patvars]
-
-(DEFUN |modemapPattern| (|mmPattern| |sig|)
-  (PROG (|ISTMP#1| |dom| |ISTMP#2| |tag| |x| |partial| |patvar|
-            |patvars| |mmpat| |patternAlist|)
-    (DECLARE (SPECIAL |$PatternVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |patternAlist| NIL)
-             (SPADLET |mmpat| NIL)
-             (SPADLET |patvars| |$PatternVariableList|)
-             (SPADLET |partial| NIL)
-             (DO ((|xTails| |mmPattern| (CDR |xTails|)))
-                 ((ATOM |xTails|) NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |x| (CAR |xTails|))
-                            (COND
-                              ((AND (PAIRP |x|)
-                                    (EQ (QCAR |x|) '|Union|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#1| (QCDR |x|))
-                                      (AND (PAIRP |ISTMP#1|)
-                                       (PROGN
-                                         (SPADLET |dom|
-                                          (QCAR |ISTMP#1|))
-                                         (SPADLET |ISTMP#2|
-                                          (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
-                                          (EQ (QCDR |ISTMP#2|) NIL)
-                                          (PROGN
-                                            (SPADLET |tag|
-                                             (QCAR |ISTMP#2|))
-                                            'T)))))
-                                    (BOOT-EQUAL |tag|
-                                     "failed")
-                                    (BOOT-EQUAL |xTails| |sig|))
-                               (SPADLET |x| |dom|)
-                               (SPADLET |partial| 'T)))
-                            (SPADLET |patvar|
-                                     (|rassoc| |x| |patternAlist|))
-                            (COND
-                              ((NULL (NULL |patvar|))
-                               (SPADLET |mmpat|
-                                        (CONS |patvar| |mmpat|)))
-                              ('T (SPADLET |patvar| (CAR |patvars|))
-                               (SPADLET |patvars| (CDR |patvars|))
-                               (SPADLET |mmpat|
-                                        (CONS |patvar| |mmpat|))
-                               (SPADLET |patternAlist|
-                                        (CONS (CONS |patvar| |x|)
-                                         |patternAlist|))))))))
-             (CONS (NREVERSE |mmpat|)
-                   (CONS |patternAlist|
-                         (CONS |partial| (CONS |patvars| NIL)))))))))
-
-;substVars(pred,patternAlist,patternVarList) ==
-;  --make pattern variable substitutions
-;  domainPredicates := nil
-;  for [[patVar,:value],:.] in tails patternAlist repeat
-;    pred := substitute(patVar,value,pred)
-;    patternAlist := nsubst(patVar,value,patternAlist)
-;    domainPredicates := substitute(patVar,value,domainPredicates)
-;    if ^MEMQ(value,$FormalMapVariableList) then
-;      domainPredicates := [["isDomain",patVar,value],:domainPredicates]
-;  everything := [pred,patternAlist,domainPredicates]
-;  for var in $FormalMapVariableList repeat
-;    CONTAINED(var,everything) =>
-;      replacementVar := first patternVarList
-;      patternVarList := rest patternVarList
-;      pred := substitute(replacementVar,var,pred)
-;      domainPredicates := substitute(replacementVar,var,domainPredicates)
-;  [pred, domainPredicates]
-
-(DEFUN |substVars| (|pred| |patternAlist| |patternVarList|)
-  (PROG (|patVar| |value| |everything| |replacementVar|
-            |domainPredicates|)
-    (DECLARE (SPECIAL |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |domainPredicates| NIL)
-             (DO ((G167064 |patternAlist| (CDR G167064)))
-                 ((OR (ATOM G167064)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |patVar| (CAAR G167064))
-                          (SPADLET |value| (CDAR G167064))
-                          G167064)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |pred|
-                                     (MSUBST |patVar| |value| |pred|))
-                            (SPADLET |patternAlist|
-                                     (|nsubst| |patVar| |value|
-                                      |patternAlist|))
-                            (SPADLET |domainPredicates|
-                                     (MSUBST |patVar| |value|
-                                      |domainPredicates|))
-                            (COND
-                              ((NULL (member |value|
-                                      |$FormalMapVariableList|))
-                               (SPADLET |domainPredicates|
-                                        (CONS
-                                         (CONS '|isDomain|
-                                          (CONS |patVar|
-                                           (CONS |value| NIL)))
-                                         |domainPredicates|)))
-                              ('T NIL))))))
-             (SPADLET |everything|
-                      (CONS |pred|
-                            (CONS |patternAlist|
-                                  (CONS |domainPredicates| NIL))))
-             (SEQ (DO ((G167089 |$FormalMapVariableList|
-                           (CDR G167089))
-                       (|var| NIL))
-                      ((OR (ATOM G167089)
-                           (PROGN (SETQ |var| (CAR G167089)) NIL))
-                       NIL)
-                    (SEQ (EXIT (COND
-                                 ((CONTAINED |var| |everything|)
-                                  (EXIT (PROGN
-                                          (SPADLET |replacementVar|
-                                           (CAR |patternVarList|))
-                                          (SPADLET |patternVarList|
-                                           (CDR |patternVarList|))
-                                          (SPADLET |pred|
-                                           (MSUBST |replacementVar|
-                                            |var| |pred|))
-                                          (SPADLET |domainPredicates|
-                                           (MSUBST |replacementVar|
-                                            |var| |domainPredicates|)))))))))
-                  (CONS |pred| (CONS |domainPredicates| NIL))))))))
-
-;fixUpPredicate(predClause, domainPreds, partial, sig) ==
-;  --  merge the predicates in predClause and domainPreds into a
-;  --  single predicate
-;  [predicate, fn, :skip] := predClause
-;  if first predicate = "AND" then
-;    predicates := APPEND(domainPreds,rest predicate)
-;  else if predicate ^= MKQ "T"
-;--was->then predicates:= REVERSE [predicate, :domainPreds]
-;       then predicates:= [predicate, :domainPreds]
-;       else predicates := domainPreds or [predicate]
-;  if #predicates > 1 then
-;    pred := ["AND",:predicates]
-;    [pred,:dependList]:=orderPredicateItems(pred,sig,skip)
-;  else
-;    pred := orderPredicateItems(first predicates,sig,skip)
-;    dependList:= if pred is ['isDomain,pvar,[.]] then [pvar] else nil
-;  pred := moveORsOutside pred
-;  if partial then pred := ["partial", :pred]
-;  [[pred, fn, :skip],:dependList]
-
-(DEFUN |fixUpPredicate| (|predClause| |domainPreds| |partial| |sig|)
-  (PROG (|predicate| |fn| |skip| |predicates| |LETTMP#1| |ISTMP#1|
-            |pvar| |ISTMP#2| |ISTMP#3| |dependList| |pred|)
-    (RETURN
-      (PROGN
-        (SPADLET |predicate| (CAR |predClause|))
-        (SPADLET |fn| (CADR |predClause|))
-        (SPADLET |skip| (CDDR |predClause|))
-        (COND
-          ((BOOT-EQUAL (CAR |predicate|) 'AND)
-           (SPADLET |predicates|
-                    (APPEND |domainPreds| (CDR |predicate|))))
-          ((NEQUAL |predicate| (MKQ 'T))
-           (SPADLET |predicates| (CONS |predicate| |domainPreds|)))
-          ('T
-           (SPADLET |predicates|
-                    (OR |domainPreds| (CONS |predicate| NIL)))))
-        (COND
-          ((> (|#| |predicates|) 1)
-           (SPADLET |pred| (CONS 'AND |predicates|))
-           (SPADLET |LETTMP#1|
-                    (|orderPredicateItems| |pred| |sig| |skip|))
-           (SPADLET |pred| (CAR |LETTMP#1|))
-           (SPADLET |dependList| (CDR |LETTMP#1|)) |LETTMP#1|)
-          ('T
-           (SPADLET |pred|
-                    (|orderPredicateItems| (CAR |predicates|) |sig|
-                        |skip|))
-           (SPADLET |dependList|
-                    (COND
-                      ((AND (PAIRP |pred|)
-                            (EQ (QCAR |pred|) '|isDomain|)
-                            (PROGN
-                              (SPADLET |ISTMP#1| (QCDR |pred|))
-                              (AND (PAIRP |ISTMP#1|)
-                                   (PROGN
-                                     (SPADLET |pvar| (QCAR |ISTMP#1|))
-                                     (SPADLET |ISTMP#2|
-                                      (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
-                                      (EQ (QCDR |ISTMP#2|) NIL)
-                                      (PROGN
-                                        (SPADLET |ISTMP#3|
-                                         (QCAR |ISTMP#2|))
-                                        (AND (PAIRP |ISTMP#3|)
-                                         (EQ (QCDR |ISTMP#3|) NIL))))))))
-                       (CONS |pvar| NIL))
-                      ('T NIL)))))
-        (SPADLET |pred| (|moveORsOutside| |pred|))
-        (COND (|partial| (SPADLET |pred| (CONS '|partial| |pred|))))
-        (CONS (CONS |pred| (CONS |fn| |skip|)) |dependList|)))))
-
-;moveORsOutside p ==
-;  p is ['AND,:q] =>
-;    q := [moveORsOutside r for r in q]
-;    x := or/[r for r in q | r is ['OR,:s]] =>
-;      moveORsOutside(['OR,:[['AND,:SUBST(t,x,q)] for t in CDR x]])
-;    ['AND,:q]
-;  p
-
-(DEFUN |moveORsOutside| (|p|)
-  (PROG (|q| |s| |x|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |p|) (EQ (QCAR |p|) 'AND)
-                   (PROGN (SPADLET |q| (QCDR |p|)) 'T))
-              (SPADLET |q|
-                       (PROG (G167169)
-                         (SPADLET G167169 NIL)
-                         (RETURN
-                           (DO ((G167174 |q| (CDR G167174))
-                                (|r| NIL))
-                               ((OR (ATOM G167174)
-                                    (PROGN
-                                      (SETQ |r| (CAR G167174))
-                                      NIL))
-                                (NREVERSE0 G167169))
-                             (SEQ (EXIT (SETQ G167169
-                                         (CONS (|moveORsOutside| |r|)
-                                          G167169))))))))
-              (COND
-                ((SPADLET |x|
-                          (PROG (G167180)
-                            (SPADLET G167180 NIL)
-                            (RETURN
-                              (DO ((G167187 NIL G167180)
-                                   (G167188 |q| (CDR G167188))
-                                   (|r| NIL))
-                                  ((OR G167187 (ATOM G167188)
-                                    (PROGN
-                                      (SETQ |r| (CAR G167188))
-                                      NIL))
-                                   G167180)
-                                (SEQ (EXIT
-                                      (COND
-                                        ((AND (PAIRP |r|)
-                                          (EQ (QCAR |r|) 'OR)
-                                          (PROGN
-                                            (SPADLET |s| (QCDR |r|))
-                                            'T))
-                                         (SETQ G167180
-                                          (OR G167180 |r|))))))))))
-                 (|moveORsOutside|
-                     (CONS 'OR
-                           (PROG (G167199)
-                             (SPADLET G167199 NIL)
-                             (RETURN
-                               (DO ((G167204 (CDR |x|)
-                                     (CDR G167204))
-                                    (|t| NIL))
-                                   ((OR (ATOM G167204)
-                                     (PROGN
-                                       (SETQ |t| (CAR G167204))
-                                       NIL))
-                                    (NREVERSE0 G167199))
-                                 (SEQ (EXIT
-                                       (SETQ G167199
-                                        (CONS
-                                         (CONS 'AND
-                                          (MSUBST |t| |x| |q|))
-                                         G167199))))))))))
-                ('T (CONS 'AND |q|))))
-             ('T |p|))))))
-
-;replaceVars(x,oldvars,newvars) ==
-;  --  replace every identifier in oldvars with the corresponding
-;  --  identifier in newvars in the expression x
-;  for old in oldvars for new in newvars repeat
-;    x := substitute(new,old,x)
-;  x
-
-(DEFUN |replaceVars| (|x| |oldvars| |newvars|)
-  (SEQ (PROGN
-         (DO ((G167225 |oldvars| (CDR G167225)) (|old| NIL)
-              (G167226 |newvars| (CDR G167226)) (|new| NIL))
-             ((OR (ATOM G167225)
-                  (PROGN (SETQ |old| (CAR G167225)) NIL)
-                  (ATOM G167226)
-                  (PROGN (SETQ |new| (CAR G167226)) NIL))
-              NIL)
-           (SEQ (EXIT (SPADLET |x| (MSUBST |new| |old| |x|)))))
-         |x|)))
-
-;getDomainFromMm mm ==
-;  -- Returns the Domain (or package or category) of origin from a pattern
-;  -- modemap
-;  [., cond] := mm
-;  if cond is ['partial, :c] then cond := c
-;  condList :=
-;    cond is ['AND, :cl] => cl
-;    cond is ['OR, ['AND, :cl],:.] => cl  --all cl's should give same info
-;    [cond]
-;  val :=
-;    for condition in condList repeat
-;      condition is ['isDomain, "*1", dom] => return opOf dom
-;      condition is ['ofCategory, "*1", cat] => return opOf cat
-;  null val =>
-;    keyedSystemError("S2GE0016",
-;      ['"getDomainFromMm",'"Can't find domain in modemap condition"])
-;  val
-
-(DEFUN |getDomainFromMm| (|mm|)
-  (PROG (|c| |cond| |cl| |condList| |dom| |ISTMP#1| |ISTMP#2| |cat|
-             |val|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |cond| (CADR |mm|))
-             (COND
-               ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|partial|)
-                     (PROGN (SPADLET |c| (QCDR |cond|)) 'T))
-                (SPADLET |cond| |c|)))
-             (SPADLET |condList|
-                      (COND
-                        ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
-                              (PROGN (SPADLET |cl| (QCDR |cond|)) 'T))
-                         |cl|)
-                        ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
-                              (PROGN
-                                (SPADLET |ISTMP#1| (QCDR |cond|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |ISTMP#2|
-                                        (QCAR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (EQ (QCAR |ISTMP#2|) 'AND)
-                                        (PROGN
-                                          (SPADLET |cl|
-                                           (QCDR |ISTMP#2|))
-                                          'T))))))
-                         |cl|)
-                        ('T (CONS |cond| NIL))))
-             (SPADLET |val|
-                      (DO ((G167289 |condList| (CDR G167289))
-                           (|condition| NIL))
-                          ((OR (ATOM G167289)
-                               (PROGN
-                                 (SETQ |condition| (CAR G167289))
-                                 NIL))
-                           NIL)
-                        (SEQ (EXIT (COND
-                                     ((AND (PAIRP |condition|)
-                                       (EQ (QCAR |condition|)
-                                        '|isDomain|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |condition|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (EQ (QCAR |ISTMP#1|) '*1)
-                                          (PROGN
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (PROGN
-                                               (SPADLET |dom|
-                                                (QCAR |ISTMP#2|))
-                                               'T))))))
-                                      (RETURN (|opOf| |dom|)))
-                                     ((AND (PAIRP |condition|)
-                                       (EQ (QCAR |condition|)
-                                        '|ofCategory|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |condition|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (EQ (QCAR |ISTMP#1|) '*1)
-                                          (PROGN
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (PROGN
-                                               (SPADLET |cat|
-                                                (QCAR |ISTMP#2|))
-                                               'T))))))
-                                      (RETURN (|opOf| |cat|))))))))
-             (COND
-               ((NULL |val|)
-                (|keyedSystemError| 'S2GE0016
-                    (CONS "getDomainFromMm"
-                          (CONS "Can't find domain in modemap condition"
-                                NIL))))
-               ('T |val|)))))))
-
-;getFirstArgTypeFromMm mm ==
-;  -- Returns the type of the first argument or nil
-;  [pats, cond] := mm
-;  [.,.,:args] := pats
-;  null args => nil
-;  arg1 := first args
-;  if cond is ['partial, :c] then cond := c
-;  condList :=
-;    cond is ['AND, :cl] => cl
-;    cond is ['OR, ['AND, :cl],:.] => cl  --all cl's should give same info
-;    [cond]
-;  type := nil
-;  for condition in condList while not type repeat
-;      if condition is ['isDomain, a1, dom] and a1=arg1 then type := dom
-;  type
-
-(DEFUN |getFirstArgTypeFromMm| (|mm|)
-  (PROG (|pats| |args| |arg1| |c| |cond| |cl| |condList| |ISTMP#1| |a1|
-                |ISTMP#2| |dom| |type|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |pats| (CAR |mm|))
-             (SPADLET |cond| (CADR |mm|))
-             (SPADLET |args| (CDDR |pats|))
-             (COND
-               ((NULL |args|) NIL)
-               ('T (SPADLET |arg1| (CAR |args|))
-                (COND
-                  ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|partial|)
-                        (PROGN (SPADLET |c| (QCDR |cond|)) 'T))
-                   (SPADLET |cond| |c|)))
-                (SPADLET |condList|
-                         (COND
-                           ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
-                                 (PROGN
-                                   (SPADLET |cl| (QCDR |cond|))
-                                   'T))
-                            |cl|)
-                           ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
-                                 (PROGN
-                                   (SPADLET |ISTMP#1| (QCDR |cond|))
-                                   (AND (PAIRP |ISTMP#1|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#2|
-                                       (QCAR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCAR |ISTMP#2|) 'AND)
-                                       (PROGN
-                                         (SPADLET |cl|
-                                          (QCDR |ISTMP#2|))
-                                         'T))))))
-                            |cl|)
-                           ('T (CONS |cond| NIL))))
-                (SPADLET |type| NIL)
-                (DO ((G167357 |condList| (CDR G167357))
-                     (|condition| NIL))
-                    ((OR (ATOM G167357)
-                         (PROGN
-                           (SETQ |condition| (CAR G167357))
-                           NIL)
-                         (NULL (NULL |type|)))
-                     NIL)
-                  (SEQ (EXIT (COND
-                               ((AND (PAIRP |condition|)
-                                     (EQ (QCAR |condition|)
-                                      '|isDomain|)
-                                     (PROGN
-                                       (SPADLET |ISTMP#1|
-                                        (QCDR |condition|))
-                                       (AND (PAIRP |ISTMP#1|)
-                                        (PROGN
-                                          (SPADLET |a1|
-                                           (QCAR |ISTMP#1|))
-                                          (SPADLET |ISTMP#2|
-                                           (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
-                                           (EQ (QCDR |ISTMP#2|) NIL)
-                                           (PROGN
-                                             (SPADLET |dom|
-                                              (QCAR |ISTMP#2|))
-                                             'T)))))
-                                     (BOOT-EQUAL |a1| |arg1|))
-                                (SPADLET |type| |dom|))
-                               ('T NIL)))))
-                |type|)))))))
-
-;isFreeFunctionFromMm mm ==
-;  -- This returns true is the modemap represents a free function, ie,
-;  -- one not coming from a domain or category.
-;  [., cond] := mm
-;  isFreeFunctionFromMmCond cond
-
-(DEFUN |isFreeFunctionFromMm| (|mm|)
-  (PROG (|cond|)
-    (RETURN
-      (PROGN
-        (SPADLET |cond| (CADR |mm|))
-        (|isFreeFunctionFromMmCond| |cond|)))))
-
-;isFreeFunctionFromMmCond cond ==
-;  -- This returns true is the modemap represents a free function, ie,
-;  -- one not coming from a domain or category.
-;  if cond is ['partial, :c] then cond := c
-;  condList :=
-;    cond is ['AND, :cl] => cl
-;    cond is ['OR, ['AND, :cl],:.] => cl  --all cl's should give same info
-;    [cond]
-;  iff := false
-;  for condition in condList while not iff repeat
-;      if condition is ['isFreeFunction, :.] then iff := true
-;  iff
-
-(DEFUN |isFreeFunctionFromMmCond| (|cond|)
-  (PROG (|c| |ISTMP#1| |ISTMP#2| |cl| |condList| |iff|)
-    (RETURN
-      (SEQ (PROGN
-             (COND
-               ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|partial|)
-                     (PROGN (SPADLET |c| (QCDR |cond|)) 'T))
-                (SPADLET |cond| |c|)))
-             (SPADLET |condList|
-                      (COND
-                        ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
-                              (PROGN (SPADLET |cl| (QCDR |cond|)) 'T))
-                         |cl|)
-                        ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
-                              (PROGN
-                                (SPADLET |ISTMP#1| (QCDR |cond|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |ISTMP#2|
-                                        (QCAR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (EQ (QCAR |ISTMP#2|) 'AND)
-                                        (PROGN
-                                          (SPADLET |cl|
-                                           (QCDR |ISTMP#2|))
-                                          'T))))))
-                         |cl|)
-                        ('T (CONS |cond| NIL))))
-             (SPADLET |iff| NIL)
-             (DO ((G167407 |condList| (CDR G167407))
-                  (|condition| NIL))
-                 ((OR (ATOM G167407)
-                      (PROGN (SETQ |condition| (CAR G167407)) NIL)
-                      (NULL (NULL |iff|)))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((AND (PAIRP |condition|)
-                                  (EQ (QCAR |condition|)
-                                      '|isFreeFunction|))
-                             (SPADLET |iff| 'T))
-                            ('T NIL)))))
-             |iff|)))))
-
-;getAllModemapsFromDatabase(op,nargs) ==
-;  $getUnexposedOperations: local := true
-;  startTimingProcess 'diskread
-;  ans := getSystemModemaps(op,nargs)
-;  stopTimingProcess 'diskread
-;  ans
-
-(DEFUN |getAllModemapsFromDatabase| (|op| |nargs|)
-  (PROG (|$getUnexposedOperations| |ans|)
-    (DECLARE (SPECIAL |$getUnexposedOperations|))
-    (RETURN
-      (PROGN
-        (SPADLET |$getUnexposedOperations| 'T)
-        (|startTimingProcess| '|diskread|)
-        (SPADLET |ans| (|getSystemModemaps| |op| |nargs|))
-        (|stopTimingProcess| '|diskread|)
-        |ans|))))
-
-;getModemapsFromDatabase(op,nargs) ==
-;  $getUnexposedOperations: local := false
-;  startTimingProcess 'diskread
-;  ans := getSystemModemaps(op,nargs)
-;  stopTimingProcess 'diskread
-;  ans
-
-(DEFUN |getModemapsFromDatabase| (|op| |nargs|)
-  (PROG (|$getUnexposedOperations| |ans|)
-    (DECLARE (SPECIAL |$getUnexposedOperations|))
-    (RETURN
-      (PROGN
-        (SPADLET |$getUnexposedOperations| NIL)
-        (|startTimingProcess| '|diskread|)
-        (SPADLET |ans| (|getSystemModemaps| |op| |nargs|))
-        (|stopTimingProcess| '|diskread|)
-        |ans|))))
-
-;getSystemModemaps(op,nargs) ==
-;  mml:= GETDATABASE(op,'OPERATION) =>
-;    mms := NIL
-;    for (x := [[.,:sig],.]) in mml repeat
-;      (NUMBERP nargs) and (nargs ^= #QCDR sig) => 'iterate
-;      $getUnexposedOperations or isFreeFunctionFromMm(x) or
-;        isExposedConstructor(getDomainFromMm(x)) => mms := [x,:mms]
-;      'iterate
-;    mms
-;  nil
-
-(DEFUN |getSystemModemaps| (|op| |nargs|)
-  (PROG (|mml| |sig| |mms|)
-    (DECLARE (SPECIAL |$getUnexposedOperations|))
-    (RETURN
-      (SEQ (COND
-             ((SPADLET |mml| (GETDATABASE |op| 'OPERATION))
-              (SPADLET |mms| NIL)
-              (DO ((G167451 |mml| (CDR G167451)) (|x| NIL))
-                  ((OR (ATOM G167451)
-                       (PROGN (SETQ |x| (CAR G167451)) NIL)
-                       (PROGN
-                         (PROGN (SPADLET |sig| (CDAR |x|)) |x|)
-                         NIL))
-                   NIL)
-                (SEQ (EXIT (COND
-                             ((AND (NUMBERP |nargs|)
-                                   (NEQUAL |nargs| (|#| (QCDR |sig|))))
-                              '|iterate|)
-                             ((OR |$getUnexposedOperations|
-                                  (|isFreeFunctionFromMm| |x|)
-                                  (|isExposedConstructor|
-                                      (|getDomainFromMm| |x|)))
-                              (SPADLET |mms| (CONS |x| |mms|)))
-                             ('T '|iterate|)))))
-              |mms|)
-             ('T NIL))))))
-
-;getInCoreModemaps(modemapList,op,nargs) ==
-;  mml:= LASSOC (op,modemapList) =>
-;    mml:= CAR mml
-;    [x for (x:= [[dc,:sig],.]) in mml |
-;      (NUMBERP nargs => nargs=#rest sig; true) and
-;        (cfn := abbreviate (domName := getDomainFromMm x)) and
-;          ($getUnexposedOperations or isExposedConstructor(domName))]
-;  nil
-
-(DEFUN |getInCoreModemaps| (|modemapList| |op| |nargs|)
-  (PROG (|mml| |dc| |sig| |domName| |cfn|)
-    (DECLARE (SPECIAL |$getUnexposedOperations|))
-    (RETURN
-      (SEQ (COND
-             ((SPADLET |mml| (LASSOC |op| |modemapList|))
-              (SPADLET |mml| (CAR |mml|))
-              (PROG (G167477)
-                (SPADLET G167477 NIL)
-                (RETURN
-                  (DO ((G167484 |mml| (CDR G167484)) (|x| NIL))
-                      ((OR (ATOM G167484)
-                           (PROGN (SETQ |x| (CAR G167484)) NIL)
-                           (PROGN
-                             (PROGN
-                               (SPADLET |dc| (CAAR |x|))
-                               (SPADLET |sig| (CDAR |x|))
-                               |x|)
-                             NIL))
-                       (NREVERSE0 G167477))
-                    (SEQ (EXIT (COND
-                                 ((AND (COND
-                                         ((NUMBERP |nargs|)
-                                          (BOOT-EQUAL |nargs|
-                                           (|#| (CDR |sig|))))
-                                         ('T 'T))
-                                       (SPADLET |cfn|
-                                        (|abbreviate|
-                                         (SPADLET |domName|
-                                          (|getDomainFromMm| |x|))))
-                                       (OR |$getUnexposedOperations|
-                                        (|isExposedConstructor|
-                                         |domName|)))
-                                  (SETQ G167477 (CONS |x| G167477))))))))))
-             ('T NIL))))))
-
-;mkAlistOfExplicitCategoryOps target ==
-;  if target is ['add,a,:l] then
-;    target:=a
-;  target is ['Join,:l] =>
-;    "UNION"/[mkAlistOfExplicitCategoryOps cat for cat in l]
-;  target is ['CATEGORY,.,:l] =>
-;    l:= flattenSignatureList ['PROGN,:l]
-;    u:=
-;      [[atomizeOp op,:sig] for x in l | x is ['SIGNATURE,op,sig,:.]]
-;            where
-;              atomizeOp op ==
-;                atom op => op
-;                op is [a] => a
-;                keyedSystemError("S2GE0016",
-;                  ['"mkAlistOfExplicitCategoryOps",'"bad signature"])
-;    opList:= REMDUP ASSOCLEFT u
-;    [[x,:fn(x,u)] for x in opList] where
-;      fn(op,u) ==
-;        u is [[a,:b],:c] => (a=op => [b,:fn(op,c)]; fn(op,c))
-;  isCategoryForm(target,$e) => nil
-;  keyedSystemError("S2GE0016",
-;    ['"mkAlistOfExplicitCategoryOps",'"bad signature"])
-
-(DEFUN |mkAlistOfExplicitCategoryOps,atomizeOp| (|op|)
-  (PROG (|a|)
-    (RETURN
-      (SEQ (IF (ATOM |op|) (EXIT |op|))
-           (IF (AND (PAIRP |op|) (EQ (QCDR |op|) NIL)
-                    (PROGN (SPADLET |a| (QCAR |op|)) 'T))
-               (EXIT |a|))
-           (EXIT (|keyedSystemError| 'S2GE0016
-                     (CONS "mkAlistOfExplicitCategoryOps"
-                           (CONS "bad signature" NIL))))))))
-
-(DEFUN |mkAlistOfExplicitCategoryOps,fn| (|op| |u|)
-  (PROG (|ISTMP#1| |a| |b| |c|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |u|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCAR |u|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |a| (QCAR |ISTMP#1|))
-                             (SPADLET |b| (QCDR |ISTMP#1|))
-                             'T)))
-                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
-               (EXIT (SEQ (IF (BOOT-EQUAL |a| |op|)
-                              (EXIT (CONS |b|
-                                     (|mkAlistOfExplicitCategoryOps,fn|
-                                      |op| |c|))))
-                          (EXIT (|mkAlistOfExplicitCategoryOps,fn| |op|
-                                    |c|)))))))))
-
-(DEFUN |mkAlistOfExplicitCategoryOps| (|target|)
-  (PROG (|a| |l| |ISTMP#1| |op| |ISTMP#2| |sig| |u| |opList|)
-    (DECLARE (SPECIAL |$e|))
-    (RETURN
-      (SEQ (PROGN
-             (COND
-               ((AND (PAIRP |target|) (EQ (QCAR |target|) '|add|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |target|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |a| (QCAR |ISTMP#1|))
-                              (SPADLET |l| (QCDR |ISTMP#1|))
-                              'T))))
-                (SPADLET |target| |a|)))
-             (COND
-               ((AND (PAIRP |target|) (EQ (QCAR |target|) '|Join|)
-                     (PROGN (SPADLET |l| (QCDR |target|)) 'T))
-                (PROG (G167561)
-                  (SPADLET G167561 NIL)
-                  (RETURN
-                    (DO ((G167566 |l| (CDR G167566)) (|cat| NIL))
-                        ((OR (ATOM G167566)
-                             (PROGN (SETQ |cat| (CAR G167566)) NIL))
-                         G167561)
-                      (SEQ (EXIT (SETQ G167561
-                                       (|union| G167561
-                                        (|mkAlistOfExplicitCategoryOps|
-                                         |cat|)))))))))
-               ((AND (PAIRP |target|) (EQ (QCAR |target|) 'CATEGORY)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |target|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
-                (SPADLET |l|
-                         (|flattenSignatureList| (CONS 'PROGN |l|)))
-                (SPADLET |u|
-                         (PROG (G167577)
-                           (SPADLET G167577 NIL)
-                           (RETURN
-                             (DO ((G167583 |l| (CDR G167583))
-                                  (|x| NIL))
-                                 ((OR (ATOM G167583)
-                                      (PROGN
-                                        (SETQ |x| (CAR G167583))
-                                        NIL))
-                                  (NREVERSE0 G167577))
-                               (SEQ (EXIT
-                                     (COND
-                                       ((AND (PAIRP |x|)
-                                         (EQ (QCAR |x|) 'SIGNATURE)
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (QCDR |x|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (PROGN
-                                              (SPADLET |op|
-                                               (QCAR |ISTMP#1|))
-                                              (SPADLET |ISTMP#2|
-                                               (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
-                                               (PROGN
-                                                 (SPADLET |sig|
-                                                  (QCAR |ISTMP#2|))
-                                                 'T))))))
-                                        (SETQ G167577
-                                         (CONS
-                                          (CONS
-                                      (|mkAlistOfExplicitCategoryOps,atomizeOp|
-                                            |op|)
-                                           |sig|)
-                                          G167577))))))))))
-                (SPADLET |opList| (REMDUP (ASSOCLEFT |u|)))
-                (PROG (G167593)
-                  (SPADLET G167593 NIL)
-                  (RETURN
-                    (DO ((G167598 |opList| (CDR G167598))
-                         (|x| NIL))
-                        ((OR (ATOM G167598)
-                             (PROGN (SETQ |x| (CAR G167598)) NIL))
-                         (NREVERSE0 G167593))
-                      (SEQ (EXIT (SETQ G167593
-                                       (CONS
-                                        (CONS |x|
-                                         (|mkAlistOfExplicitCategoryOps,fn|
-                                          |x| |u|))
-                                        G167593))))))))
-               ((|isCategoryForm| |target| |$e|) NIL)
-               ('T
-                (|keyedSystemError| 'S2GE0016
-                    (CONS "mkAlistOfExplicitCategoryOps"
-                          (CONS "bad signature" NIL))))))))))
-
-;flattenSignatureList(x) ==
-;  atom x => nil
-;  x is ['SIGNATURE,:.] => [x]
-;  x is ['IF,cond,b1,b2] =>
-;     append(flattenSignatureList b1, flattenSignatureList b2)
-;  x is ['PROGN,:l] =>
-;     ll:= []
-;     for x in l repeat
-;        x is ['SIGNATURE,:.] => ll:=cons(x,ll)
-;        ll:= append(flattenSignatureList x,ll)
-;     ll
-;  nil
-
-(DEFUN |flattenSignatureList| (|x|)
-  (PROG (|ISTMP#1| |cond| |ISTMP#2| |b1| |ISTMP#3| |b2| |l| |ll|)
-    (RETURN
-      (SEQ (COND
-             ((ATOM |x|) NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'SIGNATURE))
-              (CONS |x| NIL))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |cond| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (PROGN
-                                   (SPADLET |b1| (QCAR |ISTMP#2|))
-                                   (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
-                                    (EQ (QCDR |ISTMP#3|) NIL)
-                                    (PROGN
-                                      (SPADLET |b2| (QCAR |ISTMP#3|))
-                                      'T))))))))
-              (APPEND (|flattenSignatureList| |b1|)
-                      (|flattenSignatureList| |b2|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'PROGN)
-                   (PROGN (SPADLET |l| (QCDR |x|)) 'T))
-              (SPADLET |ll| NIL)
-              (DO ((G167664 |l| (CDR G167664)) (|x| NIL))
-                  ((OR (ATOM G167664)
-                       (PROGN (SETQ |x| (CAR G167664)) NIL))
-                   NIL)
-                (SEQ (EXIT (COND
-                             ((AND (PAIRP |x|)
-                                   (EQ (QCAR |x|) 'SIGNATURE))
-                              (SPADLET |ll| (CONS |x| |ll|)))
-                             ('T
-                              (SPADLET |ll|
-                                       (APPEND
-                                        (|flattenSignatureList| |x|)
-                                        |ll|)))))))
-              |ll|)
-             ('T NIL))))))
-
-;mkDatabasePred [a,t] ==
-;  isCategoryForm(t,$e) => ['ofCategory,a,t]
-;  ['ofType,a,t]
-
-(DEFUN |mkDatabasePred| (G167684)
-  (PROG (|a| |t|)
-    (DECLARE (SPECIAL |$e|))
-    (RETURN
-      (PROGN
-        (SPADLET |a| (CAR G167684))
-        (SPADLET |t| (CADR G167684))
-        (COND
-          ((|isCategoryForm| |t| |$e|)
-           (CONS '|ofCategory| (CONS |a| (CONS |t| NIL))))
-          ('T (CONS '|ofType| (CONS |a| (CONS |t| NIL)))))))))
-
-;formal2Pattern x ==
-;  SUBLIS(pairList($FormalMapVariableList,rest $PatternVariableList),x)
-
-(DEFUN |formal2Pattern| (|x|)
-  (DECLARE (SPECIAL |$PatternVariableList|))
-  (SUBLIS (|pairList| |$FormalMapVariableList|
-              (CDR |$PatternVariableList|))
-          |x|))
-
-;updateDatabase(fname,cname,systemdir?) ==
-; -- for now in NRUNTIME do database update only if forced
-;  not $forceDatabaseUpdate => nil
-;  -- these modemaps are never needed in the old scheme
-;  if oldFname := constructor? cname then
-;    clearClams()
-;    clearAllSlams []
-;    if GET(cname, 'LOADED) then
-;      clearConstructorCaches()
-;  if $forceDatabaseUpdate or not systemdir? then
-;    clearClams()
-;    clearAllSlams []
-
-(DEFUN |updateDatabase| (|fname| |cname| |systemdir?|)
-  (declare (ignore |fname|))
-  (PROG (|oldFname|)
-    (DECLARE (SPECIAL |$forceDatabaseUpdate|))
-    (RETURN
-      (COND
-        ((NULL |$forceDatabaseUpdate|) NIL)
-        ('T
-         (COND
-           ((SPADLET |oldFname| (|constructor?| |cname|))
-            (|clearClams|) (|clearAllSlams| NIL)
-            (COND
-              ((GETL |cname| 'LOADED) (|clearConstructorCaches|))
-              ('T NIL))))
-         (COND
-           ((OR |$forceDatabaseUpdate| (NULL |systemdir?|))
-            (|clearClams|) (|clearAllSlams| NIL))
-           ('T NIL)))))))
-
-;removeCoreModemaps(modemapList,c) ==
-;  newUserModemaps:= nil
-;  c := opOf unabbrev c
-;  for [op,mmList] in modemapList repeat
-;    temp:= nil
-;    for mm in mmList repeat
-;      cname := getDomainFromMm mm
-;      if cname ^= c then temp:= [:temp,mm]
-;    if temp then newUserModemaps:= [:newUserModemaps,[op,temp]]
-;  newUserModemaps
-
-(DEFUN |removeCoreModemaps| (|modemapList| |c|)
-  (PROG (|op| |mmList| |cname| |temp| |newUserModemaps|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |newUserModemaps| NIL)
-             (SPADLET |c| (|opOf| (|unabbrev| |c|)))
-             (DO ((G167724 |modemapList| (CDR G167724))
-                  (G167710 NIL))
-                 ((OR (ATOM G167724)
-                      (PROGN (SETQ G167710 (CAR G167724)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAR G167710))
-                          (SPADLET |mmList| (CADR G167710))
-                          G167710)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |temp| NIL)
-                            (DO ((G167736 |mmList| (CDR G167736))
-                                 (|mm| NIL))
-                                ((OR (ATOM G167736)
-                                     (PROGN
-                                       (SETQ |mm| (CAR G167736))
-                                       NIL))
-                                 NIL)
-                              (SEQ (EXIT
-                                    (PROGN
-                                      (SPADLET |cname|
-                                       (|getDomainFromMm| |mm|))
-                                      (COND
-                                        ((NEQUAL |cname| |c|)
-                                         (SPADLET |temp|
-                                          (APPEND |temp|
-                                           (CONS |mm| NIL))))
-                                        ('T NIL))))))
-                            (COND
-                              (|temp| (SPADLET |newUserModemaps|
-                                       (APPEND |newUserModemaps|
-                                        (CONS
-                                         (CONS |op| (CONS |temp| NIL))
-                                         NIL))))
-                              ('T NIL))))))
-             |newUserModemaps|)))))
-
-;addCoreModemap(modemapList,op,modemap,cname) ==
-;  entry:= ASSQ(op,modemapList) =>
-;    RPLAC(CADR entry,[modemap,:CADR entry])
-;    modemapList
-;  modeMapList:= [:modemapList,[op,[ modemap]]]
-
-(DEFUN |addCoreModemap| (|modemapList| |op| |modemap| |cname|)
-  (declare (ignore |cname|))
-  (PROG (|entry| |modeMapList|)
-    (RETURN
-      (COND
-        ((SPADLET |entry| (ASSQ |op| |modemapList|))
-         (RPLAC (CADR |entry|) (CONS |modemap| (CADR |entry|)))
-         |modemapList|)
-        ('T
-         (SPADLET |modeMapList|
-                  (APPEND |modemapList|
-                          (CONS (CONS |op|
-                                      (CONS (CONS |modemap| NIL) NIL))
-                                NIL))))))))
-
-;REMOVER(lst,item) ==
-;  --destructively removes item from lst
-;  not PAIRP lst =>
-;    lst=item => nil
-;    lst
-;  first lst=item => rest lst
-;  RPLNODE(lst,REMOVER(first lst,item),REMOVER(rest lst,item))
-
-(DEFUN REMOVER (|lst| |item|)
-  (COND
-    ((NULL (PAIRP |lst|))
-     (COND ((BOOT-EQUAL |lst| |item|) NIL) ('T |lst|)))
-    ((BOOT-EQUAL (CAR |lst|) |item|) (CDR |lst|))
-    ('T
-     (RPLNODE |lst| (REMOVER (CAR |lst|) |item|)
-              (REMOVER (CDR |lst|) |item|)))))
-
-;allLASSOCs(op,alist) ==
-;  [value for [key,:value] in alist | key = op]
-
-(DEFUN |allLASSOCs| (|op| |alist|)
-  (PROG (|key| |value|)
-    (RETURN
-      (SEQ (PROG (G167775)
-             (SPADLET G167775 NIL)
-             (RETURN
-               (DO ((G167782 |alist| (CDR G167782))
-                    (G167765 NIL))
-                   ((OR (ATOM G167782)
-                        (PROGN (SETQ G167765 (CAR G167782)) NIL)
-                        (PROGN
-                          (PROGN
-                            (SPADLET |key| (CAR G167765))
-                            (SPADLET |value| (CDR G167765))
-                            G167765)
-                          NIL))
-                    (NREVERSE0 G167775))
-                 (SEQ (EXIT (COND
-                              ((BOOT-EQUAL |key| |op|)
-                               (SETQ G167775
-                                     (CONS |value| G167775)))))))))))))
-
-;loadDependents fn ==
-;  isExistingFile [fn,$spadLibFT,"*"] =>
-;    MEMQ("dependents",RKEYIDS(fn,$spadLibFT)) =>
-;      stream:= readLib1(fn,$spadLibFT,"*")
-;      l:= rread('dependents,stream,nil)
-;      RSHUT stream
-;      for x in l repeat
-;        x='SubDomain => nil
-;        loadIfNecessary x
-
-(DEFUN |loadDependents| (|fn|)
-  (PROG (|stream| |l|)
-    (DECLARE (SPECIAL |$spadLibFT|))
-    (RETURN
-      (SEQ (COND
-             ((|isExistingFile|
-                  (CONS |fn| (CONS |$spadLibFT| (CONS '* NIL))))
-              (EXIT (COND
-                      ((member '|dependents| (RKEYIDS |fn| |$spadLibFT|))
-                       (EXIT (PROGN
-                               (SPADLET |stream|
-                                        (|readLib1| |fn| |$spadLibFT|
-                                         '*))
-                               (SPADLET |l|
-                                        (|rread| '|dependents| |stream|
-                                         NIL))
-                               (RSHUT |stream|)
-                               (DO ((G167800 |l| (CDR G167800))
-                                    (|x| NIL))
-                                   ((OR (ATOM G167800)
-                                     (PROGN
-                                       (SETQ |x| (CAR G167800))
-                                       NIL))
-                                    NIL)
-                                 (SEQ (EXIT
-                                       (COND
-                                         ((BOOT-EQUAL |x| '|SubDomain|)
-                                          NIL)
-                                    ('T (|loadIfNecessary| |x|)))))))))))))))))
-
-;--% Miscellaneous Stuff
-;getOplistForConstructorForm (form := [op,:argl]) ==
-;  --  The new form is an op-Alist which has entries ( . signature-Alist)
-;  --    where signature-Alist has entries ( . item)
-;  --      where item has form (  )
-;  --        where  =  ELT | CONST | Subsumed | (XLAM..) ..
-;  pairlis:= [[fv,:arg] for fv in $FormalMapVariableList for arg in argl]
-;  opAlist := getOperationAlistFromLisplib op
-;  [:getOplistWithUniqueSignatures(op,pairlis,signatureAlist)
-;      for [op,:signatureAlist] in opAlist]
-
-(DEFUN |getOplistForConstructorForm| (|form|)
-  (PROG (|argl| |pairlis| |opAlist| |op| |signatureAlist|)
-    (DECLARE (SPECIAL |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (SPADLET |pairlis|
-                      (PROG (G167832)
-                        (SPADLET G167832 NIL)
-                        (RETURN
-                          (DO ((G167838 |$FormalMapVariableList|
-                                   (CDR G167838))
-                               (|fv| NIL)
-                               (G167839 |argl| (CDR G167839))
-                               (|arg| NIL))
-                              ((OR (ATOM G167838)
-                                   (PROGN
-                                     (SETQ |fv| (CAR G167838))
-                                     NIL)
-                                   (ATOM G167839)
-                                   (PROGN
-                                     (SETQ |arg| (CAR G167839))
-                                     NIL))
-                               (NREVERSE0 G167832))
-                            (SEQ (EXIT (SETQ G167832
-                                        (CONS (CONS |fv| |arg|)
-                                         G167832))))))))
-             (SPADLET |opAlist| (|getOperationAlistFromLisplib| |op|))
-             (PROG (G167848)
-               (SPADLET G167848 NIL)
-               (RETURN
-                 (DO ((G167854 |opAlist| (CDR G167854))
-                      (G167811 NIL))
-                     ((OR (ATOM G167854)
-                          (PROGN (SETQ G167811 (CAR G167854)) NIL)
-                          (PROGN
-                            (PROGN
-                              (SPADLET |op| (CAR G167811))
-                              (SPADLET |signatureAlist|
-                                       (CDR G167811))
-                              G167811)
-                            NIL))
-                      G167848)
-                   (SEQ (EXIT (SETQ G167848
-                                    (APPEND G167848
-                                     (|getOplistWithUniqueSignatures|
-                                   |op| |pairlis| |signatureAlist|)))))))))))))
-
-;getOplistWithUniqueSignatures(op,pairlis,signatureAlist) ==
-;  alist:= nil
-;  for [sig,:[slotNumber,pred,kind]] in signatureAlist | kind ^= 'Subsumed repeat
-;    alist:= insertAlist(SUBLIS(pairlis,[op,sig]),
-;                SUBLIS(pairlis,[pred,[kind,nil,slotNumber]]),
-;                alist)
-;  alist
-
-(DEFUN |getOplistWithUniqueSignatures|
-       (|op| |pairlis| |signatureAlist|)
-  (PROG (|sig| |slotNumber| |pred| |kind| |alist|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |alist| NIL)
-             (DO ((G167884 |signatureAlist| (CDR G167884))
-                  (G167872 NIL))
-                 ((OR (ATOM G167884)
-                      (PROGN (SETQ G167872 (CAR G167884)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |sig| (CAR G167872))
-                          (SPADLET |slotNumber| (CADR G167872))
-                          (SPADLET |pred| (CADDR G167872))
-                          (SPADLET |kind| (CADDDR G167872))
-                          G167872)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((NEQUAL |kind| '|Subsumed|)
-                             (SPADLET |alist|
-                                      (|insertAlist|
-                                       (SUBLIS |pairlis|
-                                        (CONS |op| (CONS |sig| NIL)))
-                                       (SUBLIS |pairlis|
-                                        (CONS |pred|
-                                         (CONS
-                                          (CONS |kind|
-                                           (CONS NIL
-                                            (CONS |slotNumber| NIL)))
-                                          NIL)))
-                                       |alist|)))))))
-             |alist|)))))
-
-;--% Code For Modemap Insertion
-;insertModemap(new,mmList) ==
-;  null mmList => [new]
-;--isMoreSpecific(new,old:= first mmList) => [new,:mmList]
-;--[old,:insertModemap(new,rest mmList)]
-;  [new,:mmList]
-
-(DEFUN |insertModemap| (|new| |mmList|)
-  (COND ((NULL |mmList|) (CONS |new| NIL)) ('T (CONS |new| |mmList|))))
-
-;--% Exposure Group Code
-;dropPrefix(fn) ==
-;  MEMBER(fn.0,[char "?",char "-",char "+"]) => SUBSTRING(fn,1,nil)
-;  fn
-
-(DEFUN |dropPrefix| (|fn|)
-  (COND
-    ((|member| (ELT |fn| 0)
-               (CONS (|char| '?)
-                     (CONS (|char| '-) (CONS (|char| '+) NIL))))
-     (SUBSTRING |fn| 1 NIL))
-    ('T |fn|)))
-
-;isExposedConstructor name ==
-;  -- this function checks the local exposure data in the frame to
-;  -- see if the given constructor is exposed. The format of
-;  -- $localExposureData is a vector with
-;  --   slot 0: list of groups exposed in the frame
-;  --   slot 1: list of constructors explicitly exposed
-;  --   slot 2: list of constructors explicitly hidden
-;  -- check if it is explicitly hidden
-;  MEMQ(name,'(Union Record Mapping)) => true
-;  MEMQ(name,$localExposureData.2) => false
-;  -- check if it is explicitly exposed
-;  MEMQ(name,$localExposureData.1) => true
-;  -- check if it is in an exposed group
-;  found := NIL
-;  for g in $localExposureData.0 while not found repeat
-;    null (x := GETALIST($globalExposureGroupAlist,g)) => 'iterate
-;    if GETALIST(x,name) then found := true
-;  found
-
-(DEFUN |isExposedConstructor| (|name|)
-  (PROG (|x| |found|)
-    (DECLARE (SPECIAL |$globalExposureGroupAlist| |$localExposureData|))
-    (RETURN
-      (SEQ (COND
-             ((member |name| '(|Union| |Record| |Mapping|)) 'T)
-             ((member |name| (ELT |$localExposureData| 2)) NIL)
-             ((member |name| (ELT |$localExposureData| 1)) 'T)
-             ('T (SPADLET |found| NIL)
-              (DO ((G167914 (ELT |$localExposureData| 0)
-                       (CDR G167914))
-                   (|g| NIL))
-                  ((OR (ATOM G167914)
-                       (PROGN (SETQ |g| (CAR G167914)) NIL)
-                       (NULL (NULL |found|)))
-                   NIL)
-                (SEQ (EXIT (COND
-                             ((NULL (SPADLET |x|
-                                     (GETALIST
-                                      |$globalExposureGroupAlist| |g|)))
-                              '|iterate|)
-                             ((GETALIST |x| |name|)
-                              (SPADLET |found| 'T))
-                             ('T NIL)))))
-              |found|))))))
-
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/define.lisp.pamphlet axiom-20111101/src/interp/define.lisp.pamphlet
--- axiom-20110301a/src/interp/define.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/define.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,5935 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp define.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-(IN-PACKAGE "BOOT" )
-
-;--% FUNCTIONS WHICH MUNCH ON == STATEMENTS
-;
-;compDefineAddSignature([op,:argl],signature,e) ==
-;  (sig:= hasFullSignature(argl,signature,e)) and
-;   not ASSOC(['$,:sig],LASSOC('modemap,getProplist(op,e))) =>
-;     declForm:=
-;       [":",[op,:[[":",x,m] for x in argl for m in rest sig]],first signature]
-;     [.,.,e]:= comp(declForm,$EmptyMode,e)
-;     e
-;  e
-
-(DEFUN |compDefineAddSignature| (G166127 |signature| |e|)
-  (PROG (|op| |argl| |sig| |declForm| |LETTMP#1|)
-  (declare (special |$EmptyMode|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR G166127))
-             (SPADLET |argl| (CDR G166127))
-             (COND
-               ((AND (SPADLET |sig|
-                              (|hasFullSignature| |argl| |signature|
-                                  |e|))
-                     (NULL (|assoc| (CONS '$ |sig|)
-                                    (LASSOC '|modemap|
-                                     (|getProplist| |op| |e|)))))
-                (SPADLET |declForm|
-                         (CONS '|:|
-                               (CONS (CONS |op|
-                                      (PROG (G166144)
-                                        (SPADLET G166144 NIL)
-                                        (RETURN
-                                          (DO
-                                           ((G166150 |argl|
-                                             (CDR G166150))
-                                            (|x| NIL)
-                                            (G166151 (CDR |sig|)
-                                             (CDR G166151))
-                                            (|m| NIL))
-                                           ((OR (ATOM G166150)
-                                             (PROGN
-                                               (SETQ |x|
-                                                (CAR G166150))
-                                               NIL)
-                                             (ATOM G166151)
-                                             (PROGN
-                                               (SETQ |m|
-                                                (CAR G166151))
-                                               NIL))
-                                            (NREVERSE0 G166144))
-                                            (SEQ
-                                             (EXIT
-                                              (SETQ G166144
-                                               (CONS
-                                                (CONS '|:|
-                                                 (CONS |x|
-                                                  (CONS |m| NIL)))
-                                                G166144))))))))
-                                     (CONS (CAR |signature|) NIL))))
-                (SPADLET |LETTMP#1|
-                         (|comp| |declForm| |$EmptyMode| |e|))
-                (SPADLET |e| (CADDR |LETTMP#1|)) |e|)
-               ('T |e|)))))))
-
-;hasFullSignature(argl,[target,:ml],e) ==
-;  target =>
-;    u:= [m or get(x,"mode",e) or return 'failed for x in argl for m in ml]
-;    u^='failed => [target,:u]
-
-(DEFUN |hasFullSignature| (|argl| G166171 |e|)
-  (PROG (|target| |ml| |u|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |target| (CAR G166171))
-             (SPADLET |ml| (CDR G166171))
-             (COND
-               (|target|
-                   (PROGN
-                     (SPADLET |u|
-                              (PROG (G166185)
-                                (SPADLET G166185 NIL)
-                                (RETURN
-                                  (DO ((G166191 |argl|
-                                        (CDR G166191))
-                                       (|x| NIL)
-                                       (G166192 |ml| (CDR G166192))
-                                       (|m| NIL))
-                                      ((OR (ATOM G166191)
-                                        (PROGN
-                                          (SETQ |x| (CAR G166191))
-                                          NIL)
-                                        (ATOM G166192)
-                                        (PROGN
-                                          (SETQ |m| (CAR G166192))
-                                          NIL))
-                                       (NREVERSE0 G166185))
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ G166185
-                                       (CONS
-                                        (OR |m| (|get| |x| '|mode| |e|)
-                                         (RETURN '|failed|))
-                                        G166185))))))))
-                     (COND
-                       ((NEQUAL |u| '|failed|) (CONS |target| |u|)))))))))))
-
-;addEmptyCapsuleIfNecessary(target,rhs) ==
-;  MEMQ(KAR rhs,$SpecialDomainNames) => rhs
-;  ['add,rhs,['CAPSULE]]
-
-(DEFUN |addEmptyCapsuleIfNecessary| (|target| |rhs|)
-  (declare (special |$SpecialDomainNames|) (ignore |target|))
-  (COND
-    ((member (KAR |rhs|) |$SpecialDomainNames|) |rhs|)
-    ('T (CONS '|add| (CONS |rhs| (CONS (CONS 'CAPSULE NIL) NIL))))))
-
-;getTargetFromRhs(lhs,rhs,e) ==
-;  --undeclared target mode obtained from rhs expression
-;  rhs is ['CAPSULE,:.] =>
-;    stackSemanticError(['"target category of ",lhs,
-;      '" cannot be determined from definition"],nil)
-;  rhs is ['SubDomain,D,:.] => getTargetFromRhs(lhs,D,e)
-;  rhs is ['add,D,['CAPSULE,:.]] => getTargetFromRhs(lhs,D,e)
-;  rhs is ['Record,:l] => ['RecordCategory,:l]
-;  rhs is ['Union,:l] => ['UnionCategory,:l]
-;  rhs is ['List,:l] => ['ListCategory,:l]
-;  rhs is ['Vector,:l] => ['VectorCategory,:l]
-;  [.,target,.]:= compOrCroak(rhs,$EmptyMode,e)
-;  target
-
-(DEFUN |getTargetFromRhs| (|lhs| |rhs| |e|)
-  (PROG (|ISTMP#1| D |ISTMP#2| |ISTMP#3| |l| |LETTMP#1| |target|)
-  (declare (special |$EmptyMode|))
-    (RETURN
-      (COND
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) 'CAPSULE))
-         (|stackSemanticError|
-             (CONS "target category of "
-                   (CONS |lhs|
-                         (CONS                                    " cannot be determined from definition"
-                               NIL)))
-             NIL))
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) '|SubDomain|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |rhs|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
-         (|getTargetFromRhs| |lhs| D |e|))
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) '|add|)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |rhs|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET D (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN
-                              (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (EQ (QCAR |ISTMP#3|) 'CAPSULE))))))))
-         (|getTargetFromRhs| |lhs| D |e|))
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) '|Record|)
-              (PROGN (SPADLET |l| (QCDR |rhs|)) 'T))
-         (CONS '|RecordCategory| |l|))
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) '|Union|)
-              (PROGN (SPADLET |l| (QCDR |rhs|)) 'T))
-         (CONS '|UnionCategory| |l|))
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) '|List|)
-              (PROGN (SPADLET |l| (QCDR |rhs|)) 'T))
-         (CONS '|ListCategory| |l|))
-        ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) '|Vector|)
-              (PROGN (SPADLET |l| (QCDR |rhs|)) 'T))
-         (CONS '|VectorCategory| |l|))
-        ('T (SPADLET |LETTMP#1| (|compOrCroak| |rhs| |$EmptyMode| |e|))
-         (SPADLET |target| (CADR |LETTMP#1|)) |target|)))))
-
-;giveFormalParametersValues(argl,e) ==
-;  for x in argl repeat
-;    e:= put(x,'value,[genSomeVariable(),get(x,'mode,e),nil],e)
-;  e
-
-(DEFUN |giveFormalParametersValues| (|argl| |e|)
-  (SEQ (PROGN
-         (DO ((G166259 |argl| (CDR G166259)) (|x| NIL))
-             ((OR (ATOM G166259)
-                  (PROGN (SETQ |x| (CAR G166259)) NIL))
-              NIL)
-           (SEQ (EXIT (SPADLET |e|
-                               (|put| |x| '|value|
-                                      (CONS (|genSomeVariable|)
-                                       (CONS (|get| |x| '|mode| |e|)
-                                        (CONS NIL NIL)))
-                                      |e|)))))
-         |e|)))
-
-;macroExpandInPlace(x,e) ==
-;  y:= macroExpand(x,e)
-;  atom x or atom y => y
-;  RPLACA(x,first y)
-;  RPLACD(x,rest y)
-;  x
-
-(DEFUN |macroExpandInPlace| (|x| |e|)
-  (PROG (|y|)
-    (RETURN
-      (PROGN
-        (SPADLET |y| (|macroExpand| |x| |e|))
-        (COND
-          ((OR (ATOM |x|) (ATOM |y|)) |y|)
-          ('T (RPLACA |x| (CAR |y|)) (RPLACD |x| (CDR |y|)) |x|))))))
-
-;macroExpand(x,e) ==   --not worked out yet
-;  atom x => (u:= get(x,'macro,e) => macroExpand(u,e); x)
-;  x is ['DEF,lhs,sig,spCases,rhs] =>
-;    ['DEF,macroExpand(lhs,e),macroExpandList(sig,e),macroExpandList(spCases,e),
-;      macroExpand(rhs,e)]
-;  macroExpandList(x,e)
-
-(DEFUN |macroExpand| (|x| |e|)
-  (PROG (|u| |ISTMP#1| |lhs| |ISTMP#2| |sig| |ISTMP#3| |spCases|
-             |ISTMP#4| |rhs|)
-    (RETURN
-      (COND
-        ((ATOM |x|)
-         (COND
-           ((SPADLET |u| (|get| |x| '|macro| |e|))
-            (|macroExpand| |u| |e|))
-           ('T |x|)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'DEF)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |lhs| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |sig| (QCAR |ISTMP#2|))
-                              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (PROGN
-                                     (SPADLET |spCases|
-                                      (QCAR |ISTMP#3|))
-                                     (SPADLET |ISTMP#4|
-                                      (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
-                                      (EQ (QCDR |ISTMP#4|) NIL)
-                                      (PROGN
-                                        (SPADLET |rhs|
-                                         (QCAR |ISTMP#4|))
-                                        'T))))))))))
-         (CONS 'DEF
-               (CONS (|macroExpand| |lhs| |e|)
-                     (CONS (|macroExpandList| |sig| |e|)
-                           (CONS (|macroExpandList| |spCases| |e|)
-                                 (CONS (|macroExpand| |rhs| |e|) NIL))))))
-        ('T (|macroExpandList| |x| |e|))))))
-
-;macroExpandList(l,e) ==
-;  -- macros should override niladic props
-;  (l is [name]) and IDENTP name and GETDATABASE(name, 'NILADIC) and
-;        (u := get(name, 'macro, e)) => macroExpand(u,e)
-;  [macroExpand(x,e) for x in l]
-
-(DEFUN |macroExpandList| (|l| |e|)
-  (PROG (|name| |u|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
-                   (PROGN (SPADLET |name| (QCAR |l|)) 'T)
-                   (IDENTP |name|) (GETDATABASE |name| 'NILADIC)
-                   (SPADLET |u| (|get| |name| '|macro| |e|)))
-              (|macroExpand| |u| |e|))
-             ('T
-              (PROG (G166351)
-                (SPADLET G166351 NIL)
-                (RETURN
-                  (DO ((G166356 |l| (CDR G166356)) (|x| NIL))
-                      ((OR (ATOM G166356)
-                           (PROGN (SETQ |x| (CAR G166356)) NIL))
-                       (NREVERSE0 G166351))
-                    (SEQ (EXIT (SETQ G166351
-                                     (CONS (|macroExpand| |x| |e|)
-                                      G166351)))))))))))))
-
-;compDefineCategory1(df is ['DEF,form,sig,sc,body],m,e,prefix,fal) ==
-;  categoryCapsule :=
-;--+
-;    body is ['add,cat,capsule] =>
-;      body := cat
-;      capsule
-;    nil
-;  [d,m,e]:= compDefineCategory2(form,sig,sc,body,m,e,prefix,fal)
-;--+ next two lines
-;  if categoryCapsule and not $bootStrapMode then [.,.,e] :=
-;    $insideCategoryPackageIfTrue: local := true  --see NRTmakeSlot1
-;-->
-;    $categoryPredicateList: local :=
-;        makeCategoryPredicates(form,$lisplibCategory)
-;    compDefine1(mkCategoryPackage(form,cat,categoryCapsule),$EmptyMode,e)
-;  [d,m,e]
-
-(DEFUN |compDefineCategory1| (|df| |m| |e| |prefix| |fal|)
-  (PROG (|$insideCategoryPackageIfTrue| |$categoryPredicateList| |form|
-            |sig| |sc| |ISTMP#1| |cat| |ISTMP#2| |capsule| |body|
-            |categoryCapsule| |d| |LETTMP#1|)
-    (DECLARE (SPECIAL |$insideCategoryPackageIfTrue| |$EmptyMode|
-                      |$categoryPredicateList| |$lisplibCategory|
-                      |$bootStrapMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |form| (CADR |df|))
-        (SPADLET |sig| (CADDR |df|))
-        (SPADLET |sc| (CADDDR |df|))
-        (SPADLET |body| (CAR (CDDDDR |df|)))
-        (SPADLET |categoryCapsule|
-                 (COND
-                   ((AND (PAIRP |body|) (EQ (QCAR |body|) '|add|)
-                         (PROGN
-                           (SPADLET |ISTMP#1| (QCDR |body|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |cat| (QCAR |ISTMP#1|))
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCDR |ISTMP#2|) NIL)
-                                       (PROGN
-                                         (SPADLET |capsule|
-                                          (QCAR |ISTMP#2|))
-                                         'T))))))
-                    (SPADLET |body| |cat|) |capsule|)
-                   ('T NIL)))
-        (SPADLET |LETTMP#1|
-                 (|compDefineCategory2| |form| |sig| |sc| |body| |m|
-                     |e| |prefix| |fal|))
-        (SPADLET |d| (CAR |LETTMP#1|))
-        (SPADLET |m| (CADR |LETTMP#1|))
-        (SPADLET |e| (CADDR |LETTMP#1|))
-        (COND
-          ((AND |categoryCapsule| (NULL |$bootStrapMode|))
-           (SPADLET |LETTMP#1|
-                    (PROGN
-                      (SPADLET |$insideCategoryPackageIfTrue| 'T)
-                      (SPADLET |$categoryPredicateList|
-                               (|makeCategoryPredicates| |form|
-                                   |$lisplibCategory|))
-                      (|compDefine1|
-                          (|mkCategoryPackage| |form| |cat|
-                              |categoryCapsule|)
-                          |$EmptyMode| |e|)))
-           (SPADLET |e| (CADDR |LETTMP#1|)) |LETTMP#1|))
-        (CONS |d| (CONS |m| (CONS |e| NIL)))))))
-
-;makeCategoryPredicates(form,u) ==
-;      $tvl := TAKE(#rest form,$TriangleVariableList)
-;      $mvl := TAKE(#rest form,rest $FormalMapVariableList)
-;      fn(u,nil) where
-;        fn(u,pl) ==
-;          u is ['Join,:.,a] => fn(a,pl)
-;          u is ['has,:.] => insert(EQSUBSTLIST($mvl,$tvl,u),pl)
-;          u is [op,:.] and MEMQ(op,'(SIGNATURE ATTRIBUTE)) => pl
-;          atom u => pl
-;          fnl(u,pl)
-;        fnl(u,pl) ==
-;          for x in u repeat pl := fn(x,pl)
-;          pl
-
-(DEFUN |makeCategoryPredicates,fnl| (|u| |pl|)
-  (SEQ (DO ((G166465 |u| (CDR G166465)) (|x| NIL))
-           ((OR (ATOM G166465)
-                (PROGN (SETQ |x| (CAR G166465)) NIL))
-            NIL)
-         (SEQ (EXIT (SPADLET |pl|
-                             (|makeCategoryPredicates,fn| |x| |pl|)))))
-       (EXIT |pl|)))
-
-(DEFUN |makeCategoryPredicates,fn| (|u| |pl|)
-  (PROG (|ISTMP#1| |ISTMP#2| |a| |op|)
-  (declare (special |$tvl| |$mvl|))
-    (RETURN
-      (SEQ (IF (AND (PAIRP |u|) (EQ (QCAR |u|) '|Join|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |u|))
-                      (AND (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |ISTMP#2|
-                                           (REVERSE |ISTMP#1|))
-                                  'T))
-                           (AND (PAIRP |ISTMP#2|)
-                                (PROGN
-                                  (SPADLET |a| (QCAR |ISTMP#2|))
-                                  'T)))))
-               (EXIT (|makeCategoryPredicates,fn| |a| |pl|)))
-           (IF (AND (PAIRP |u|) (EQ (QCAR |u|) '|has|))
-               (EXIT (|insert| (EQSUBSTLIST |$mvl| |$tvl| |u|) |pl|)))
-           (IF (AND (AND (PAIRP |u|)
-                         (PROGN (SPADLET |op| (QCAR |u|)) 'T))
-                    (member |op| '(SIGNATURE ATTRIBUTE)))
-               (EXIT |pl|))
-           (IF (ATOM |u|) (EXIT |pl|))
-           (EXIT (|makeCategoryPredicates,fnl| |u| |pl|))))))
-
-(DEFUN |makeCategoryPredicates| (|form| |u|)
-  (declare (special |$FormalMapVariableList| |$mvl| |$tvl|
-                    |$TriangleVariableList|))
-  (PROGN
-    (SPADLET |$tvl| (TAKE (|#| (CDR |form|)) |$TriangleVariableList|))
-    (SPADLET |$mvl|
-             (TAKE (|#| (CDR |form|)) (CDR |$FormalMapVariableList|)))
-    (|makeCategoryPredicates,fn| |u| NIL)))
-
-;--+ the following function
-;mkCategoryPackage(form is [op,:argl],cat,def) ==
-;  packageName:= INTERN(STRCONC(PNAME op,'"&"))
-;  packageAbb := INTERN(STRCONC(GETDATABASE(op,'ABBREVIATION),'"-"))
-;  $options:local := []
-;  -- This stops the next line from becoming confused
-;  abbreviationsSpad2Cmd ['domain,packageAbb,packageName]
-;  -- This is a little odd, but the parser insists on calling
-;  -- domains, rather than packages
-;  nameForDollar := first SETDIFFERENCE('(S A B C D E F G H I),argl)
-;  packageArgl := [nameForDollar,:argl]
-;  capsuleDefAlist := fn(def,nil) where fn(x,oplist) ==
-;    atom x => oplist
-;    x is ['DEF,y,:.] => [y,:oplist]
-;    fn(rest x,fn(first x,oplist))
-;  explicitCatPart := gn cat where gn cat ==
-;    cat is ['CATEGORY,:.] => rest rest cat
-;    cat is ['Join,:u] => gn last u
-;    nil
-;  catvec := eval mkEvalableCategoryForm form
-;  fullCatOpList:=JoinInner([catvec],$e).1
-;  catOpList :=
-;    --note: this gets too many modemaps in general
-;    --   this is cut down in NRTmakeSlot1
-;    [['SIGNATURE,op1,sig] for [[op1,sig],:.] in fullCatOpList
-;         --above line calls the category constructor just compiled
-;        | ASSOC(op1,capsuleDefAlist)]
-;  null catOpList => nil
-;  packageCategory := ['CATEGORY,'domain,
-;                     :SUBLISLIS(argl,$FormalMapVariableList,catOpList)]
-;  nils:= [nil for x in argl]
-;  packageSig := [packageCategory,form,:nils]
-;  $categoryPredicateList := SUBST(nameForDollar,'$,$categoryPredicateList)
-;  SUBST(nameForDollar,'$,
-;      ['DEF,[packageName,:packageArgl],packageSig,[nil,:nils],def])
-
-(DEFUN |mkCategoryPackage,fn| (|x| |oplist|)
-  (PROG (|ISTMP#1| |y|)
-    (RETURN
-      (SEQ (IF (ATOM |x|) (EXIT |oplist|))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'DEF)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
-               (EXIT (CONS |y| |oplist|)))
-           (EXIT (|mkCategoryPackage,fn| (CDR |x|)
-                     (|mkCategoryPackage,fn| (CAR |x|) |oplist|)))))))
-
-(DEFUN |mkCategoryPackage,gn| (|cat|)
-  (PROG (|u|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |cat|) (EQ (QCAR |cat|) 'CATEGORY))
-               (EXIT (CDR (CDR |cat|))))
-           (IF (AND (PAIRP |cat|) (EQ (QCAR |cat|) '|Join|)
-                    (PROGN (SPADLET |u| (QCDR |cat|)) 'T))
-               (EXIT (|mkCategoryPackage,gn| (|last| |u|))))
-           (EXIT NIL)))))
-
-(DEFUN |mkCategoryPackage| (|form| |cat| |def|)
-  (PROG (|$options| |op| |argl| |packageName| |packageAbb|
-            |nameForDollar| |packageArgl| |capsuleDefAlist|
-            |explicitCatPart| |catvec| |fullCatOpList| |op1| |sig|
-            |catOpList| |packageCategory| |nils| |packageSig|)
-    (DECLARE (SPECIAL |$options| |$categoryPredicateList| |$e| |$options|
-                      |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (SPADLET |packageName|
-                      (INTERN (STRCONC (PNAME |op|) "&")))
-             (SPADLET |packageAbb|
-                      (INTERN (STRCONC (GETDATABASE |op| 'ABBREVIATION)
-                                       "-")))
-             (SPADLET |$options| NIL)
-             (|abbreviationsSpad2Cmd|
-                 (CONS '|domain|
-                       (CONS |packageAbb| (CONS |packageName| NIL))))
-             (SPADLET |nameForDollar|
-                      (CAR (SETDIFFERENCE '(S A B C D E F G H I)
-                               |argl|)))
-             (SPADLET |packageArgl| (CONS |nameForDollar| |argl|))
-             (SPADLET |capsuleDefAlist|
-                      (|mkCategoryPackage,fn| |def| NIL))
-             (SPADLET |explicitCatPart| (|mkCategoryPackage,gn| |cat|))
-             (SPADLET |catvec|
-                      (|eval| (|mkEvalableCategoryForm| |form|)))
-             (SPADLET |fullCatOpList|
-                      (ELT (|JoinInner| (CONS |catvec| NIL) |$e|) 1))
-             (SPADLET |catOpList|
-                      (PROG (G166528)
-                        (SPADLET G166528 NIL)
-                        (RETURN
-                          (DO ((G166535 |fullCatOpList|
-                                   (CDR G166535))
-                               (G166506 NIL))
-                              ((OR (ATOM G166535)
-                                   (PROGN
-                                     (SETQ G166506 (CAR G166535))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |op1| (CAAR G166506))
-                                       (SPADLET |sig|
-                                        (CADAR G166506))
-                                       G166506)
-                                     NIL))
-                               (NREVERSE0 G166528))
-                            (SEQ (EXIT (COND
-                                         ((|assoc| |op1|
-                                           |capsuleDefAlist|)
-                                          (SETQ G166528
-                                           (CONS
-                                            (CONS 'SIGNATURE
-                                             (CONS |op1|
-                                              (CONS |sig| NIL)))
-                                            G166528))))))))))
-             (COND
-               ((NULL |catOpList|) NIL)
-               ('T
-                (SPADLET |packageCategory|
-                         (CONS 'CATEGORY
-                               (CONS '|domain|
-                                     (SUBLISLIS |argl|
-                                      |$FormalMapVariableList|
-                                      |catOpList|))))
-                (SPADLET |nils|
-                         (PROG (G166546)
-                           (SPADLET G166546 NIL)
-                           (RETURN
-                             (DO ((G166551 |argl| (CDR G166551))
-                                  (|x| NIL))
-                                 ((OR (ATOM G166551)
-                                      (PROGN
-                                        (SETQ |x| (CAR G166551))
-                                        NIL))
-                                  (NREVERSE0 G166546))
-                               (SEQ (EXIT
-                                     (SETQ G166546
-                                      (CONS NIL G166546))))))))
-                (SPADLET |packageSig|
-                         (CONS |packageCategory| (CONS |form| |nils|)))
-                (SPADLET |$categoryPredicateList|
-                         (MSUBST |nameForDollar| '$
-                                 |$categoryPredicateList|))
-                (MSUBST |nameForDollar| '$
-                        (CONS 'DEF
-                              (CONS (CONS |packageName| |packageArgl|)
-                                    (CONS |packageSig|
-                                     (CONS (CONS NIL |nils|)
-                                      (CONS |def| NIL)))))))))))))
-
-;compDefineCategory2(form,signature,specialCases,body,m,e,
-;  $prefix,$formalArgList) ==
-;    --1. bind global variables
-;    $insideCategoryIfTrue: local:= true
-;    $TOP__LEVEL: local := nil
-;    $definition: local := nil
-;                 --used by DomainSubstitutionFunction
-;    $form: local := nil
-;    $op: local := nil
-;    $extraParms: local := nil
-;             --Set in DomainSubstitutionFunction, used further down
-;--  1.1  augment e to add declaration $: 
-;    [$op,:argl]:= $definition:= form
-;    e:= addBinding("$",[['mode,:$definition]],e)
-;
-;--  2. obtain signature
-;    signature':=
-;      [first signature,:[getArgumentModeOrMoan(a,$definition,e) for a in argl]]
-;    e:= giveFormalParametersValues(argl,e)
-;
-;--   3. replace arguments by $1,..., substitute into body,
-;--     and introduce declarations into environment
-;    sargl:= TAKE(# argl, $TriangleVariableList)
-;    $functorForm:= $form:= [$op,:sargl]
-;    $formalArgList:= [:sargl,:$formalArgList]
-;    aList:= [[a,:sa] for a in argl for sa in sargl]
-;    formalBody:= SUBLIS(aList,body)
-;    signature' := SUBLIS(aList,signature')
-;--Begin lines for category default definitions
-;    $functionStats: local:= [0,0]
-;    $functorStats: local:= [0,0]
-;    $frontier: local := 0
-;    $getDomainCode: local := nil
-;    $addForm: local:= nil
-;    for x in sargl for t in rest signature' repeat
-;      [.,.,e]:= compMakeDeclaration([":",x,t],m,e)
-;
-;--   4. compile body in environment of %type declarations for arguments
-;    op':= $op
-;    -- following line causes cats with no with or Join to be fresh copies
-;    if opOf(formalBody)^='Join and opOf(formalBody)^='mkCategory then
-;           formalBody := ['Join, formalBody]
-;    body:= optFunctorBody (compOrCroak(formalBody,signature'.target,e)).expr
-;    if $extraParms then
-;      formals:=actuals:=nil
-;      for u in $extraParms repeat
-;        formals:=[CAR u,:formals]
-;        actuals:=[MKQ CDR u,:actuals]
-;      body := ['sublisV,['PAIR,['QUOTE,formals],['LIST,:actuals]],body]
-;    if argl then body:=  -- always subst for args after extraparms
-;        ['sublisV,['PAIR,['QUOTE,sargl],['LIST,:
-;          [['devaluate,u] for u in sargl]]],body]
-;    body:=
-;      ['PROG1,['LET,g:= GENSYM(),body],['SETELT,g,0,mkConstructor $form]]
-;    fun:= compile [op',['LAM,sargl,body]]
-;
-;--  5. give operator a 'modemap property
-;    pairlis:= [[a,:v] for a in argl for v in $FormalMapVariableList]
-;    parSignature:= SUBLIS(pairlis,signature')
-;    parForm:= SUBLIS(pairlis,form)
-;    lisplibWrite('"compilerInfo",
-;      removeZeroOne ['SETQ,'$CategoryFrame,
-;       ['put,['QUOTE,op'],'
-;        (QUOTE isCategory),true,['addModemap,MKQ op',MKQ parForm,
-;          MKQ parSignature,true,MKQ fun,'$CategoryFrame]]],$libFile)
-;    --Equivalent to the following two lines, we hope
-;    if null sargl then
-;      evalAndRwriteLispForm('NILADIC,
-;            ['MAKEPROP,['QUOTE,op'],'(QUOTE NILADIC),true])
-;
-;--   6. put modemaps into InteractiveModemapFrame
-;    $domainShell := eval [op',:MAPCAR('MKQ,sargl)]
-;    $lisplibCategory:= formalBody
-;    if $LISPLIB then
-;      $lisplibForm:= form
-;      $lisplibKind:= 'category
-;      modemap:= [[parForm,:parSignature],[true,op']]
-;      $lisplibModemap:= modemap
-;      $lisplibParents  :=
-;        getParentsFor($op,$FormalMapVariableList,$lisplibCategory)
-;      $lisplibAncestors := computeAncestorsOf($form,nil)
-;      $lisplibAbbreviation := constructor? $op
-;      form':=[op',:sargl]
-;      augLisplibModemapsFromCategory(form',formalBody,signature')
-;    [fun,'(Category),e]
-
-(DEFUN |compDefineCategory2| (|form| |signature| |specialCases| |body| |m| |e|
-                              |$prefix| |$formalArgList|)
-  (DECLARE (SPECIAL |$prefix| |$formalArgList|) (ignore |specialCases|))
-  (PROG (|$insideCategoryIfTrue| $TOP_LEVEL |$definition| |$form| |$op|
-            |$extraParms| |$functionStats| |$functorStats| |$frontier|
-            |$getDomainCode| |$addForm| |argl| |sargl| |aList|
-            |signature'| |LETTMP#1| |op'| |formalBody| |formals|
-            |actuals| |g| |fun| |pairlis| |parSignature| |parForm|
-            |modemap| |form'|)
-    (DECLARE (SPECIAL |$insideCategoryIfTrue| $TOP_LEVEL |$definition|
-                      |$form| |$op| |$extraParms| |$functionStats|
-                      |$functorStats| |$frontier| |$getDomainCode|
-                      |$addForm| |$lisplibAbbreviation| |$lisplibAncestors|
-                      |$lisplibCategory| |$FormalMapVariableList|
-                      |$lisplibParents| |$lisplibModemap| |$lisplibKind|
-                      |$lisplibForm| $LISPLIB |$domainShell| |$libFile|
-                      |$TriangleVariableList| ))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$insideCategoryIfTrue| 'T)
-             (SPADLET $TOP_LEVEL NIL)
-             (SPADLET |$definition| NIL)
-             (SPADLET |$form| NIL)
-             (SPADLET |$op| NIL)
-             (SPADLET |$extraParms| NIL)
-             (SPADLET |$definition| |form|)
-             (SPADLET |$op| (CAR |$definition|))
-             (SPADLET |argl| (CDR |$definition|))
-             (SPADLET |e|
-                      (|addBinding| '$
-                          (CONS (CONS '|mode| |$definition|) NIL) |e|))
-             (SPADLET |signature'|
-                      (CONS (CAR |signature|)
-                            (PROG (G166602)
-                              (SPADLET G166602 NIL)
-                              (RETURN
-                                (DO ((G166607 |argl| (CDR G166607))
-                                     (|a| NIL))
-                                    ((OR (ATOM G166607)
-                                      (PROGN
-                                        (SETQ |a| (CAR G166607))
-                                        NIL))
-                                     (NREVERSE0 G166602))
-                                  (SEQ (EXIT
-                                        (SETQ G166602
-                                         (CONS
-                                          (|getArgumentModeOrMoan| |a|
-                                           |$definition| |e|)
-                                          G166602)))))))))
-             (SPADLET |e| (|giveFormalParametersValues| |argl| |e|))
-             (SPADLET |sargl|
-                      (TAKE (|#| |argl|) |$TriangleVariableList|))
-             (SPADLET |$functorForm|
-                      (SPADLET |$form| (CONS |$op| |sargl|)))
-             (SPADLET |$formalArgList|
-                      (APPEND |sargl| |$formalArgList|))
-             (SPADLET |aList|
-                      (PROG (G166618)
-                        (SPADLET G166618 NIL)
-                        (RETURN
-                          (DO ((G166624 |argl| (CDR G166624))
-                               (|a| NIL)
-                               (G166625 |sargl| (CDR G166625))
-                               (|sa| NIL))
-                              ((OR (ATOM G166624)
-                                   (PROGN
-                                     (SETQ |a| (CAR G166624))
-                                     NIL)
-                                   (ATOM G166625)
-                                   (PROGN
-                                     (SETQ |sa| (CAR G166625))
-                                     NIL))
-                               (NREVERSE0 G166618))
-                            (SEQ (EXIT (SETQ G166618
-                                        (CONS (CONS |a| |sa|)
-                                         G166618))))))))
-             (SPADLET |formalBody| (SUBLIS |aList| |body|))
-             (SPADLET |signature'| (SUBLIS |aList| |signature'|))
-             (SPADLET |$functionStats| (CONS 0 (CONS 0 NIL)))
-             (SPADLET |$functorStats| (CONS 0 (CONS 0 NIL)))
-             (SPADLET |$frontier| 0)
-             (SPADLET |$getDomainCode| NIL)
-             (SPADLET |$addForm| NIL)
-             (DO ((G166641 |sargl| (CDR G166641)) (|x| NIL)
-                  (G166642 (CDR |signature'|) (CDR G166642))
-                  (|t| NIL))
-                 ((OR (ATOM G166641)
-                      (PROGN (SETQ |x| (CAR G166641)) NIL)
-                      (ATOM G166642)
-                      (PROGN (SETQ |t| (CAR G166642)) NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |LETTMP#1|
-                                     (|compMakeDeclaration|
-                                      (CONS '|:|
-                                       (CONS |x| (CONS |t| NIL)))
-                                      |m| |e|))
-                            (SPADLET |e| (CADDR |LETTMP#1|))
-                            |LETTMP#1|))))
-             (SPADLET |op'| |$op|)
-             (COND
-               ((AND (NEQUAL (|opOf| |formalBody|) '|Join|)
-                     (NEQUAL (|opOf| |formalBody|) '|mkCategory|))
-                (SPADLET |formalBody|
-                         (CONS '|Join| (CONS |formalBody| NIL)))))
-             (SPADLET |body|
-                      (|optFunctorBody|
-                          (CAR (|compOrCroak| |formalBody|
-                                   (CAR |signature'|) |e|))))
-             (COND
-               (|$extraParms|
-                   (SPADLET |formals| (SPADLET |actuals| NIL))
-                   (DO ((G166656 |$extraParms| (CDR G166656))
-                        (|u| NIL))
-                       ((OR (ATOM G166656)
-                            (PROGN (SETQ |u| (CAR G166656)) NIL))
-                        NIL)
-                     (SEQ (EXIT (PROGN
-                                  (SPADLET |formals|
-                                           (CONS (CAR |u|) |formals|))
-                                  (SPADLET |actuals|
-                                           (CONS (MKQ (CDR |u|))
-                                            |actuals|))))))
-                   (SPADLET |body|
-                            (CONS '|sublisV|
-                                  (CONS (CONS 'PAIR
-                                         (CONS
-                                          (CONS 'QUOTE
-                                           (CONS |formals| NIL))
-                                          (CONS (CONS 'LIST |actuals|)
-                                           NIL)))
-                                        (CONS |body| NIL))))))
-             (COND
-               (|argl| (SPADLET |body|
-                                (CONS '|sublisV|
-                                      (CONS
-                                       (CONS 'PAIR
-                                        (CONS
-                                         (CONS 'QUOTE
-                                          (CONS |sargl| NIL))
-                                         (CONS
-                                          (CONS 'LIST
-                                           (PROG (G166666)
-                                             (SPADLET G166666 NIL)
-                                             (RETURN
-                                               (DO
-                                                ((G166671 |sargl|
-                                                  (CDR G166671))
-                                                 (|u| NIL))
-                                                ((OR (ATOM G166671)
-                                                  (PROGN
-                                                    (SETQ |u|
-                                                     (CAR G166671))
-                                                    NIL))
-                                                 (NREVERSE0 G166666))
-                                                 (SEQ
-                                                  (EXIT
-                                                   (SETQ G166666
-                                                    (CONS
-                                                     (CONS '|devaluate|
-                                                      (CONS |u| NIL))
-                                                     G166666))))))))
-                                          NIL)))
-                                       (CONS |body| NIL))))))
-             (SPADLET |body|
-                      (CONS 'PROG1
-                            (CONS (CONS 'LET
-                                        (CONS (SPADLET |g| (GENSYM))
-                                         (CONS |body| NIL)))
-                                  (CONS (CONS 'SETELT
-                                         (CONS |g|
-                                          (CONS 0
-                                           (CONS
-                                            (|mkConstructor| |$form|)
-                                            NIL))))
-                                        NIL))))
-             (SPADLET |fun|
-                      (|compile|
-                          (CONS |op'|
-                                (CONS (CONS 'LAM
-                                       (CONS |sargl| (CONS |body| NIL)))
-                                      NIL))))
-             (SPADLET |pairlis|
-                      (PROG (G166682)
-                        (SPADLET G166682 NIL)
-                        (RETURN
-                          (DO ((G166688 |argl| (CDR G166688))
-                               (|a| NIL)
-                               (G166689 |$FormalMapVariableList|
-                                   (CDR G166689))
-                               (|v| NIL))
-                              ((OR (ATOM G166688)
-                                   (PROGN
-                                     (SETQ |a| (CAR G166688))
-                                     NIL)
-                                   (ATOM G166689)
-                                   (PROGN
-                                     (SETQ |v| (CAR G166689))
-                                     NIL))
-                               (NREVERSE0 G166682))
-                            (SEQ (EXIT (SETQ G166682
-                                        (CONS (CONS |a| |v|) G166682))))))))
-             (SPADLET |parSignature| (SUBLIS |pairlis| |signature'|))
-             (SPADLET |parForm| (SUBLIS |pairlis| |form|))
-             (|lisplibWrite| "compilerInfo"
-                 (|removeZeroOne|
-                     (CONS 'SETQ
-                           (CONS '|$CategoryFrame|
-                                 (CONS (CONS '|put|
-                                        (CONS
-                                         (CONS 'QUOTE (CONS |op'| NIL))
-                                         (CONS ''|isCategory|
-                                          (CONS 'T
-                                           (CONS
-                                            (CONS '|addModemap|
-                                             (CONS (MKQ |op'|)
-                                              (CONS (MKQ |parForm|)
-                                               (CONS
-                                                (MKQ |parSignature|)
-                                                (CONS 'T
-                                                 (CONS (MKQ |fun|)
-                                                  (CONS
-                                                   '|$CategoryFrame|
-                                                   NIL)))))))
-                                            NIL)))))
-                                       NIL))))
-                 |$libFile|)
-             (COND
-               ((NULL |sargl|)
-                (|evalAndRwriteLispForm| 'NILADIC
-                    (CONS 'MAKEPROP
-                          (CONS (CONS 'QUOTE (CONS |op'| NIL))
-                                (CONS ''NILADIC (CONS 'T NIL)))))))
-             (SPADLET |$domainShell|
-                      (|eval| (CONS |op'| (MAPCAR 'MKQ |sargl|))))
-             (SPADLET |$lisplibCategory| |formalBody|)
-             (COND
-               ($LISPLIB (SPADLET |$lisplibForm| |form|)
-                   (SPADLET |$lisplibKind| '|category|)
-                   (SPADLET |modemap|
-                            (CONS (CONS |parForm| |parSignature|)
-                                  (CONS (CONS 'T (CONS |op'| NIL)) NIL)))
-                   (SPADLET |$lisplibModemap| |modemap|)
-                   (SPADLET |$lisplibParents|
-                            (|getParentsFor| |$op|
-                                |$FormalMapVariableList|
-                                |$lisplibCategory|))
-                   (SPADLET |$lisplibAncestors|
-                            (|computeAncestorsOf| |$form| NIL))
-                   (SPADLET |$lisplibAbbreviation|
-                            (|constructor?| |$op|))
-                   (SPADLET |form'| (CONS |op'| |sargl|))
-                   (|augLisplibModemapsFromCategory| |form'|
-                       |formalBody| |signature'|)))
-             (CONS |fun| (CONS '(|Category|) (CONS |e| NIL))))))))
-
-;mkConstructor form ==
-;  atom form => ['devaluate,form]
-;  null rest form => ['QUOTE,[first form]]
-;  ['LIST,MKQ first form,:[mkConstructor x for x in rest form]]
-
-(DEFUN |mkConstructor| (|form|)
-  (PROG ()
-    (RETURN
-      (SEQ (COND
-             ((ATOM |form|) (CONS '|devaluate| (CONS |form| NIL)))
-             ((NULL (CDR |form|))
-              (CONS 'QUOTE (CONS (CONS (CAR |form|) NIL) NIL)))
-             ('T
-              (CONS 'LIST
-                    (CONS (MKQ (CAR |form|))
-                          (PROG (G166784)
-                            (SPADLET G166784 NIL)
-                            (RETURN
-                              (DO ((G166789 (CDR |form|)
-                                    (CDR G166789))
-                                   (|x| NIL))
-                                  ((OR (ATOM G166789)
-                                    (PROGN
-                                      (SETQ |x| (CAR G166789))
-                                      NIL))
-                                   (NREVERSE0 G166784))
-                                (SEQ (EXIT
-                                      (SETQ G166784
-                                       (CONS (|mkConstructor| |x|)
-                                        G166784)))))))))))))))
-
-;compDefineCategory(df,m,e,prefix,fal) ==
-;  $domainShell: local -- holds the category of the object being compiled
-;  $lisplibCategory: local := nil
-;  not $insideFunctorIfTrue and $LISPLIB =>
-;    compDefineLisplib(df,m,e,prefix,fal,'compDefineCategory1)
-;  compDefineCategory1(df,m,e,prefix,fal)
-
-(DEFUN |compDefineCategory| (|df| |m| |e| |prefix| |fal|)
-  (PROG (|$domainShell| |$lisplibCategory|)
-    (DECLARE (SPECIAL |$domainShell| |$lisplibCategory| $LISPLIB
-                      |$insideFunctorIfTrue|))
-    (RETURN
-      (PROGN
-        (SPADLET |$domainShell| NIL)
-        (SPADLET |$lisplibCategory| NIL)
-        (COND
-          ((AND (NULL |$insideFunctorIfTrue|) $LISPLIB)
-           (|compDefineLisplib| |df| |m| |e| |prefix| |fal|
-               '|compDefineCategory1|))
-          ('T (|compDefineCategory1| |df| |m| |e| |prefix| |fal|)))))))
-
-;compDefineFunctor(df,m,e,prefix,fal) ==
-;  $domainShell: local -- holds the category of the object being compiled
-;  $profileCompiler: local := true
-;  $profileAlist:    local := nil
-;  $LISPLIB => compDefineLisplib(df,m,e,prefix,fal,'compDefineFunctor1)
-;  compDefineFunctor1(df,m,e,prefix,fal)
-
-(DEFUN |compDefineFunctor| (|df| |m| |e| |prefix| |fal|)
-  (PROG (|$domainShell| |$profileCompiler| |$profileAlist|)
-    (DECLARE (SPECIAL |$domainShell| |$profileCompiler| $LISPLIB
-                      |$profileAlist|))
-    (RETURN
-      (PROGN
-        (SPADLET |$domainShell| NIL)
-        (SPADLET |$profileCompiler| 'T)
-        (SPADLET |$profileAlist| NIL)
-        (COND
-          ($LISPLIB
-              (|compDefineLisplib| |df| |m| |e| |prefix| |fal|
-                  '|compDefineFunctor1|))
-          ('T (|compDefineFunctor1| |df| |m| |e| |prefix| |fal|)))))))
-
-;compDefineFunctor1(df is ['DEF,form,signature,$functorSpecialCases,body],
-;  m,$e,$prefix,$formalArgList) ==
-;    if NRTPARSE = true then
-;      [lineNumber,:$functorSpecialCases] := $functorSpecialCases
-;--  1. bind global variables
-;    $addForm: local := nil
-;    $viewNames: local:= nil
-;
-;            --This list is only used in genDomainViewName, for generating names
-;            --for alternate views, if they do not already exist.
-;            --format: Alist: (domain name . sublist)
-;            --sublist is alist: category . name of view
-;    $functionStats: local:= [0,0]
-;    $functorStats: local:= [0,0]
-;    $form: local := nil
-;    $op: local := nil
-;    $signature: local := nil
-;    $functorTarget: local := nil
-;    $Representation: local := nil
-;         --Set in doIt, accessed in the compiler - compNoStacking
-;    $LocalDomainAlist: local := nil --set in doIt, accessed in genDeltaEntry
-;    $LocalDomainAlist := nil
-;    $functorForm: local := nil
-;    $functorLocalParameters: local := nil
-;    SETQ($myFunctorBody, body)
-;    $CheckVectorList: local := nil
-;                  --prevents CheckVector from printing out same message twice
-;    $getDomainCode: local := nil -- code for getting views
-;    $insideFunctorIfTrue: local:= true
-;    $functorsUsed: local := nil --not currently used, finds dependent functors
-;    $setelt: local :=
-;      $QuickCode = true => 'QSETREFV
-;      'SETELT
-;    $TOP__LEVEL: local := nil
-;    $genFVar: local:= 0
-;    $genSDVar: local:= 0
-;    originale:= $e
-;    [$op,:argl]:= form
-;    $formalArgList:= [:argl,:$formalArgList]
-;    $pairlis := [[a,:v] for a in argl for v in $FormalMapVariableList]
-;    $mutableDomain: local :=
-;      -- all defaulting packages should have caching turned off
-;       isCategoryPackageName $op or
-;         (if BOUNDP '$mutableDomains then MEMQ($op,$mutableDomains)
-;            else false )   --true if domain has mutable state
-;    signature':=
-;      [first signature,:[getArgumentModeOrMoan(a,form,$e) for a in argl]]
-;    $functorForm:= $form:= [$op,:argl]
-;    if null first signature' then signature':=
-;      modemap2Signature getModemap($form,$e)
-;    target:= first signature'
-;    $functorTarget:= target
-;    $e:= giveFormalParametersValues(argl,$e)
-;    [ds,.,$e]:= compMakeCategoryObject(target,$e) or
-;--+ copy needed since slot1 is reset; compMake.. can return a cached vector
-;      sayBrightly '"   cannot produce category object:"
-;      pp target
-;      return nil
-;    $domainShell:= COPY_-SEQ ds
-;    $attributesName:local := INTERN STRCONC(PNAME $op,'";attributes")
-;    attributeList := disallowNilAttribute ds.2 --see below under "loadTimeAlist"
-;--+ 7 lines for $NRT follow
-;    $goGetList: local := nil
-;-->--these globals used by NRTmakeCategoryAlist, set by NRTsetVector4Part1
-;    $condAlist: local := nil
-;    $uncondAlist: local := nil
-;-->>-- next global initialized here, reset by NRTbuildFunctor
-;    $NRTslot1PredicateList: local :=
-;      REMDUP [CADR x for x in attributeList]
-;-->>-- next global initialized here, used by NRTgenAttributeAlist (NRUNOPT)
-;    $NRTattributeAlist: local := NRTgenInitialAttributeAlist attributeList
-;    $NRTslot1Info: local  --set in NRTmakeSlot1 called by NRTbuildFunctor
-;       --this is used below to set $lisplibSlot1 global
-;    $NRTbase: local := 6 -- equals length of $domainShell
-;    $NRTaddForm: local := nil   -- see compAdd; NRTmakeSlot1
-;    $NRTdeltaList: local := nil --list of misc. elts used in compiled fncts
-;    $NRTdeltaListComp: local := nil --list of COMP-ed forms for $NRTdeltaList
-;    $NRTaddList: local := nil --list of fncts not defined in capsule (added)
-;    $NRTdeltaLength: local := 0 -- =length of block of extra entries in vector
-;    $NRTloadTimeAlist: local := nil --used for things in slot4 (NRTsetVector4)
-;    $NRTdomainFormList: local := nil -- of form ((gensym . (Repe...)) ...
-;    -- the above optimizes the calls to local domains
-;    $template: local:= nil --stored in the lisplib (if $NRTvec = true)
-;    $functionLocations: local := nil --locations of defined functions in source
-;    -- generate slots for arguments first, then for $NRTaddForm in compAdd
-;    for x in argl repeat NRTgetLocalIndex x
-;    [.,.,$e]:= compMakeDeclaration([":",'_$,target],m,$e)
-;    --The following loop sees if we can economise on ADDed operations
-;    --by using those of Rep, if that is the same. Example: DIRPROD
-;    if $insideCategoryPackageIfTrue^= true  then
-;      if body is ['add,ab:=[fn,:.],['CAPSULE,:cb]] and MEMQ(fn,'(List Vector))
-;         and FindRep(cb) = ab
-;               where FindRep cb ==
-;                 u:=
-;                   while cb repeat
-;                     ATOM cb => return nil
-;                     cb is [['LET,'Rep,v,:.],:.] => return (u:=v)
-;                     cb:=CDR cb
-;                 u
-;      then $e:= augModemapsFromCategoryRep('_$,ab,cb,target,$e)
-;      else $e:= augModemapsFromCategory('_$,'_$,'_$,target,$e)
-;    $signature:= signature'
-;    operationAlist:= SUBLIS($pairlis,$domainShell.(1))
-;    parSignature:= SUBLIS($pairlis,signature')
-;    parForm:= SUBLIS($pairlis,form)
-;
-;--  (3.1) now make a list of the functor's local parameters; for
-;--  domain D in argl,check its signature: if domain, its type is Join(A1,..,An);
-;--  in this case, D is replaced by D1,..,Dn (gensyms) which are set
-;--  to the A1,..,An view of D
-;    if isPackageFunction() then $functorLocalParameters:=
-;      [nil,:
-;        [nil
-;          for i in 6..MAXINDEX $domainShell |
-;            $domainShell.i is [.,.,['ELT,'_$,.]]]]
-;    --leave space for vector ops and package name to be stored
-;--+
-;    $functorLocalParameters:=
-;      argPars :=
-;        makeFunctorArgumentParameters(argl,rest signature',first signature')
-; -- must do above to bring categories into scope --see line 5 of genDomainView
-;      argl
-;--  4. compile body in environment of %type declarations for arguments
-;    op':= $op
-;    rettype:= signature'.target
-;    T:= compFunctorBody(body,rettype,$e,parForm)
-;    -- If only compiling certain items, then ignore the body shell.
-;    $compileOnlyCertainItems =>
-;       reportOnFunctorCompilation()
-;       [nil, ['Mapping, :signature'], originale]
-;
-;    body':= T.expr
-;    lamOrSlam:= if $mutableDomain then 'LAM else 'SPADSLAM
-;    fun:= compile SUBLIS($pairlis, [op',[lamOrSlam,argl,body']])
-;    --The above statement stops substitutions gettting in one another's way
-;--+
-;    operationAlist := SUBLIS($pairlis,$lisplibOperationAlist)
-;    if $LISPLIB then
-;      augmentLisplibModemapsFromFunctor(parForm,operationAlist,parSignature)
-;    reportOnFunctorCompilation()
-;
-;--  5. give operator a 'modemap property
-;--   if $functorsUsed then MAKEPROP(op',"NEEDS",$functorsUsed)
-;    if $LISPLIB then
-;      modemap:= [[parForm,:parSignature],[true,op']]
-;      $lisplibModemap:= modemap
-;      $lisplibCategory := modemap.mmTarget
-;      $lisplibParents  :=
-;        getParentsFor($op,$FormalMapVariableList,$lisplibCategory)
-;      $lisplibAncestors := computeAncestorsOf($form,nil)
-;      $lisplibAbbreviation := constructor? $op
-;    $insideFunctorIfTrue:= false
-;    if $LISPLIB then
-;      $lisplibKind:=
-;------->This next line prohibits changing the KIND once given
-;--------kk:=GETDATABASE($op,'CONSTRUCTORKIND) => kk
-;        $functorTarget is ["CATEGORY",key,:.] and key^="domain" => 'package
-;        'domain
-;      $lisplibForm:= form
-;      if null $bootStrapMode then
-;        $NRTslot1Info := NRTmakeSlot1Info()
-;        $isOpPackageName: local := isCategoryPackageName $op
-;        if $isOpPackageName then lisplibWrite('"slot1DataBase",
-;          ['updateSlot1DataBase,MKQ $NRTslot1Info],$libFile)
-;        $lisplibFunctionLocations := SUBLIS($pairlis,$functionLocations)
-;        $lisplibCategoriesExtended := SUBLIS($pairlis,$lisplibCategoriesExtended)
-;        -- see NRTsetVector4 for initial setting of $lisplibCategoriesExtended
-;        libFn := GETDATABASE(op','ABBREVIATION)
-;        $lookupFunction: local :=
-;            NRTgetLookupFunction($functorForm,CADAR $lisplibModemap,$NRTaddForm)
-;            --either lookupComplete (for forgetful guys) or lookupIncomplete
-;        $byteAddress :local := 0
-;        $byteVec :local := nil
-;        $NRTslot1PredicateList :=
-;          [simpBool x for x in $NRTslot1PredicateList]
-;        rwriteLispForm('loadTimeStuff,
-;          ['MAKEPROP,MKQ $op,''infovec,getInfovecCode()])
-;      $lisplibSlot1 := $NRTslot1Info --NIL or set by $NRTmakeSlot1
-;      $lisplibOperationAlist:= operationAlist
-;      $lisplibMissingFunctions:= $CheckVectorList
-;    lisplibWrite('"compilerInfo",
-;       removeZeroOne ['SETQ,'$CategoryFrame,
-;        ['put,['QUOTE,op'],'
-;         (QUOTE isFunctor),
-;          ['QUOTE,operationAlist],['addModemap,['QUOTE,op'],['
-;           QUOTE,parForm],['QUOTE,parSignature],true,['QUOTE,op'],
-;            ['put,['QUOTE,op' ],'(QUOTE mode),
-;             ['QUOTE,['Mapping,:parSignature]],'$CategoryFrame]]]], $libFile)
-;    if null argl then
-;      evalAndRwriteLispForm('NILADIC,
-;            ['MAKEPROP, ['QUOTE,op'], ['QUOTE,'NILADIC], true])
-;    [fun,['Mapping,:signature'],originale]
-
-(DEFUN |compDefineFunctor1,FindRep| (|cb|)
-  (PROG (|ISTMP#1| |ISTMP#2| |ISTMP#3| |v| |u|)
-    (RETURN
-      (SEQ (SPADLET |u|
-                    (DO () ((NULL |cb|) NIL)
-                      (SEQ (IF (ATOM |cb|) (EXIT (RETURN NIL)))
-                           (IF (AND (PAIRP |cb|)
-                                    (PROGN
-                                      (SPADLET |ISTMP#1| (QCAR |cb|))
-                                      (AND (PAIRP |ISTMP#1|)
-                                       (EQ (QCAR |ISTMP#1|) 'LET)
-                                       (PROGN
-                                         (SPADLET |ISTMP#2|
-                                          (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
-                                          (EQ (QCAR |ISTMP#2|) '|Rep|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#3|
-                                             (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
-                                             (PROGN
-                                               (SPADLET |v|
-                                                (QCAR |ISTMP#3|))
-                                               'T))))))))
-                               (EXIT (RETURN (SPADLET |u| |v|))))
-                           (EXIT (SPADLET |cb| (CDR |cb|))))))
-           (EXIT |u|)))))
-
-(DEFUN |compDefineFunctor1| (|df| |m| |$e| |$prefix| |$formalArgList|)
-  (DECLARE (SPECIAL |$e| |$prefix| |$formalArgList|))
-  (PROG (|$addForm| |$viewNames| |$functionStats| |$functorStats|
-            |$form| |$op| |$signature| |$functorTarget|
-            |$Representation| |$LocalDomainAlist| |$functorForm|
-            |$functorLocalParameters| |$CheckVectorList|
-            |$getDomainCode| |$insideFunctorIfTrue| |$functorsUsed|
-            |$setelt| $TOP_LEVEL |$genFVar| |$genSDVar|
-            |$mutableDomain| |$attributesName| |$goGetList|
-            |$condAlist| |$uncondAlist| |$NRTslot1PredicateList|
-            |$NRTattributeAlist| |$NRTslot1Info| |$NRTbase|
-            |$NRTaddForm| |$NRTdeltaList| |$NRTdeltaListComp|
-            |$NRTaddList| |$NRTdeltaLength| |$NRTloadTimeAlist|
-            |$NRTdomainFormList| |$template| |$functionLocations|
-            |$isOpPackageName| |$lookupFunction| |$byteAddress|
-            |$byteVec| |form| |signature| |body| |lineNumber|
-            |originale| |argl| |signature'| |target| |ds|
-            |attributeList| |LETTMP#1| |fn| |ab| |cb| |parSignature|
-            |parForm| |ISTMP#2| |ISTMP#3| |ISTMP#4| |ISTMP#5| |ISTMP#6|
-            |argPars| |op'| |rettype| T$ |body'| |lamOrSlam| |fun|
-            |operationAlist| |modemap| |ISTMP#1| |key| |libFn|)
-(declare (special $LISPLIB $TOP_LEVEL |$bootStrapMode| |$CategoryFrame|
-                  |$CheckVectorList| |$FormalMapVariableList| 
-                  |$LocalDomainAlist| |$NRTaddForm| |$NRTaddList| 
-                  |$NRTattributeAlist| |$NRTbase| |$NRTdeltaLength| 
-                  |$NRTdeltaListComp| |$NRTdeltaList| |$NRTdomainFormList| 
-                  |$NRTloadTimeAlist| |$NRTslot1Info| |$NRTslot1PredicateList| 
-                  |$Representation| |$addForm| |$attributesName| 
-                  |$byteAddress| |$byteVec| |$compileOnlyCertainItems|
-                  |$condAlist| |$domainShell| |$form| |$functionLocations| 
-                  |$functionStats| |$functorForm| |$functorLocalParameters| 
-                  |$functorStats| |$functorSpecialCases| |$functorTarget| 
-                  |$functorsUsed| |$genFVar| |$genSDVar| |$getDomainCode| 
-                  |$goGetList| |$insideCategoryPackageIfTrue|
-                  |$insideFunctorIfTrue| |$isOpPackageName| |$libFile|
-                  |$lisplibAbbreviation| |$lisplibAncestors|
-                  |$lisplibCategoriesExtended| |$lisplibCategory|
-                  |$lisplibForm| |$lisplibKind| |$lisplibMissingFunctions|
-                  |$lisplibModemap| |$lisplibOperationAlist| |$lisplibParents|
-                  |$lisplibSlot1| |$lookupFunction| |$myFunctorBody|
-                  |$mutableDomain| |$mutableDomains| |$op| |$pairlis|
-                  |$QuickCode| |$setelt| |$signature| |$template| 
-                  |$uncondAlist| |$viewNames| |$lisplibFunctionLocations|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form| (CADR |df|))
-             (SPADLET |signature| (CADDR |df|))
-             (SPADLET |$functorSpecialCases| (CADDDR |df|))
-             (SPADLET |body| (CAR (CDDDDR |df|)))
-             (COND
-               ((BOOT-EQUAL NRTPARSE 'T)
-                (SPADLET |LETTMP#1| |$functorSpecialCases|)
-                (SPADLET |lineNumber| (CAR |LETTMP#1|))
-                (SPADLET |$functorSpecialCases| (CDR |LETTMP#1|))
-                |LETTMP#1|))
-             (SPADLET |$addForm| NIL)
-             (SPADLET |$viewNames| NIL)
-             (SPADLET |$functionStats| (CONS 0 (CONS 0 NIL)))
-             (SPADLET |$functorStats| (CONS 0 (CONS 0 NIL)))
-             (SPADLET |$form| NIL)
-             (SPADLET |$op| NIL)
-             (SPADLET |$signature| NIL)
-             (SPADLET |$functorTarget| NIL)
-             (SPADLET |$Representation| NIL)
-             (SPADLET |$LocalDomainAlist| NIL)
-             (SPADLET |$functorForm| NIL)
-             (SPADLET |$functorLocalParameters| NIL)
-             (SETQ |$myFunctorBody| |body|)
-             (SPADLET |$CheckVectorList| NIL)
-             (SPADLET |$getDomainCode| NIL)
-             (SPADLET |$insideFunctorIfTrue| 'T)
-             (SPADLET |$functorsUsed| NIL)
-             (SPADLET |$setelt|
-                      (COND
-                        ((BOOT-EQUAL |$QuickCode| 'T) 'QSETREFV)
-                        ('T 'SETELT)))
-             (SPADLET $TOP_LEVEL NIL)
-             (SPADLET |$genFVar| 0)
-             (SPADLET |$genSDVar| 0)
-             (SPADLET |originale| |$e|)
-             (SPADLET |$op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (SPADLET |$formalArgList|
-                      (APPEND |argl| |$formalArgList|))
-             (SPADLET |$pairlis|
-                      (PROG (G167049)
-                        (SPADLET G167049 NIL)
-                        (RETURN
-                          (DO ((G167055 |argl| (CDR G167055))
-                               (|a| NIL)
-                               (G167056 |$FormalMapVariableList|
-                                   (CDR G167056))
-                               (|v| NIL))
-                              ((OR (ATOM G167055)
-                                   (PROGN
-                                     (SETQ |a| (CAR G167055))
-                                     NIL)
-                                   (ATOM G167056)
-                                   (PROGN
-                                     (SETQ |v| (CAR G167056))
-                                     NIL))
-                               (NREVERSE0 G167049))
-                            (SEQ (EXIT (SETQ G167049
-                                        (CONS (CONS |a| |v|) G167049))))))))
-             (SPADLET |$mutableDomain|
-                      (OR (|isCategoryPackageName| |$op|)
-                          (COND
-                            ((BOUNDP '|$mutableDomains|)
-                             (member |$op| |$mutableDomains|))
-                            ('T NIL))))
-             (SPADLET |signature'|
-                      (CONS (CAR |signature|)
-                            (PROG (G167069)
-                              (SPADLET G167069 NIL)
-                              (RETURN
-                                (DO ((G167074 |argl| (CDR G167074))
-                                     (|a| NIL))
-                                    ((OR (ATOM G167074)
-                                      (PROGN
-                                        (SETQ |a| (CAR G167074))
-                                        NIL))
-                                     (NREVERSE0 G167069))
-                                  (SEQ (EXIT
-                                        (SETQ G167069
-                                         (CONS
-                                          (|getArgumentModeOrMoan| |a|
-                                           |form| |$e|)
-                                          G167069)))))))))
-             (SPADLET |$functorForm|
-                      (SPADLET |$form| (CONS |$op| |argl|)))
-             (COND
-               ((NULL (CAR |signature'|))
-                (SPADLET |signature'|
-                         (|modemap2Signature|
-                             (|getModemap| |$form| |$e|)))))
-             (SPADLET |target| (CAR |signature'|))
-             (SPADLET |$functorTarget| |target|)
-             (SPADLET |$e| (|giveFormalParametersValues| |argl| |$e|))
-             (SPADLET |LETTMP#1|
-                      (OR (|compMakeCategoryObject| |target| |$e|)
-                          (PROGN
-                            (|sayBrightly|
-                                                                    "   cannot produce category object:")
-                            (|pp| |target|)
-                            (RETURN NIL))))
-             (SPADLET |ds| (CAR |LETTMP#1|))
-             (SPADLET |$e| (CADDR |LETTMP#1|))
-             (SPADLET |$domainShell| (COPY-SEQ |ds|))
-             (SPADLET |$attributesName|
-                      (INTERN (STRCONC (PNAME |$op|)
-                                       ";attributes")))
-             (SPADLET |attributeList|
-                      (|disallowNilAttribute| (ELT |ds| 2)))
-             (SPADLET |$goGetList| NIL)
-             (SPADLET |$condAlist| NIL)
-             (SPADLET |$uncondAlist| NIL)
-             (SPADLET |$NRTslot1PredicateList|
-                      (REMDUP (PROG (G167084)
-                                (SPADLET G167084 NIL)
-                                (RETURN
-                                  (DO ((G167089 |attributeList|
-                                        (CDR G167089))
-                                       (|x| NIL))
-                                      ((OR (ATOM G167089)
-                                        (PROGN
-                                          (SETQ |x| (CAR G167089))
-                                          NIL))
-                                       (NREVERSE0 G167084))
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ G167084
-                                       (CONS (CADR |x|) G167084)))))))))
-             (SPADLET |$NRTattributeAlist|
-                      (|NRTgenInitialAttributeAlist| |attributeList|))
-             (SPADLET |$NRTslot1Info| NIL)
-             (SPADLET |$NRTbase| 6)
-             (SPADLET |$NRTaddForm| NIL)
-             (SPADLET |$NRTdeltaList| NIL)
-             (SPADLET |$NRTdeltaListComp| NIL)
-             (SPADLET |$NRTaddList| NIL)
-             (SPADLET |$NRTdeltaLength| 0)
-             (SPADLET |$NRTloadTimeAlist| NIL)
-             (SPADLET |$NRTdomainFormList| NIL)
-             (SPADLET |$template| NIL)
-             (SPADLET |$functionLocations| NIL)
-             (DO ((G167098 |argl| (CDR G167098)) (|x| NIL))
-                 ((OR (ATOM G167098)
-                      (PROGN (SETQ |x| (CAR G167098)) NIL))
-                  NIL)
-               (SEQ (EXIT (|NRTgetLocalIndex| |x|))))
-             (SPADLET |LETTMP#1|
-                      (|compMakeDeclaration|
-                          (CONS '|:| (CONS '$ (CONS |target| NIL))) |m|
-                          |$e|))
-             (SPADLET |$e| (CADDR |LETTMP#1|))
-             (COND
-               ((NEQUAL |$insideCategoryPackageIfTrue| 'T)
-                (COND
-                  ((AND (PAIRP |body|) (EQ (QCAR |body|) '|add|)
-                        (PROGN
-                          (SPADLET |ISTMP#1| (QCDR |body|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (PROGN
-                                 (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
-                                      (PROGN
-                                        (SPADLET |fn| (QCAR |ISTMP#2|))
-                                        'T)))
-                               (PROGN
-                                 (SPADLET |ab| (QCAR |ISTMP#1|))
-                                 'T)
-                               (PROGN
-                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCDR |ISTMP#3|) NIL)
-                                      (PROGN
-                                        (SPADLET |ISTMP#4|
-                                         (QCAR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
-                                         (EQ (QCAR |ISTMP#4|) 'CAPSULE)
-                                         (PROGN
-                                           (SPADLET |cb|
-                                            (QCDR |ISTMP#4|))
-                                           'T)))))))
-                        (member |fn| '(|List| |Vector|))
-                        (BOOT-EQUAL (|compDefineFunctor1,FindRep| |cb|)
-                            |ab|))
-                   (SPADLET |$e|
-                            (|augModemapsFromCategoryRep| '$ |ab| |cb|
-                                |target| |$e|)))
-                  ('T
-                   (SPADLET |$e|
-                            (|augModemapsFromCategory| '$ '$ '$
-                                |target| |$e|))))))
-             (SPADLET |$signature| |signature'|)
-             (SPADLET |operationAlist|
-                      (SUBLIS |$pairlis| (ELT |$domainShell| 1)))
-             (SPADLET |parSignature| (SUBLIS |$pairlis| |signature'|))
-             (SPADLET |parForm| (SUBLIS |$pairlis| |form|))
-             (COND
-               ((|isPackageFunction|)
-                (SPADLET |$functorLocalParameters|
-                         (CONS NIL
-                               (PROG (G167109)
-                                 (SPADLET G167109 NIL)
-                                 (RETURN
-                                   (DO
-                                    ((G167115
-                                      (MAXINDEX |$domainShell|))
-                                     (|i| 6 (+ |i| 1)))
-                                    ((> |i| G167115)
-                                     (NREVERSE0 G167109))
-                                     (SEQ
-                                      (EXIT
-                                       (COND
-                                         ((PROGN
-                                            (SPADLET |ISTMP#1|
-                                             (ELT |$domainShell| |i|))
-                                            (AND (PAIRP |ISTMP#1|)
-                                             (PROGN
-                                               (SPADLET |ISTMP#2|
-                                                (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
-                                                (PROGN
-                                                  (SPADLET |ISTMP#3|
-                                                   (QCDR |ISTMP#2|))
-                                                  (AND
-                                                   (PAIRP |ISTMP#3|)
-                                                   (EQ (QCDR |ISTMP#3|)
-                                                    NIL)
-                                                   (PROGN
-                                                     (SPADLET |ISTMP#4|
-                                                      (QCAR |ISTMP#3|))
-                                                     (AND
-                                                      (PAIRP |ISTMP#4|)
-                                                      (EQ
-                                                       (QCAR |ISTMP#4|)
-                                                       'ELT)
-                                                      (PROGN
-                                                        (SPADLET
-                                                         |ISTMP#5|
-                                                         (QCDR
-                                                          |ISTMP#4|))
-                                                        (AND
-                                                         (PAIRP
-                                                          |ISTMP#5|)
-                                                         (EQ
-                                                          (QCAR
-                                                           |ISTMP#5|)
-                                                          '$)
-                                                         (PROGN
-                                                           (SPADLET
-                                                            |ISTMP#6|
-                                                            (QCDR
-                                                             |ISTMP#5|))
-                                                           (AND
-                                                            (PAIRP
-                                                             |ISTMP#6|)
-                                                            (EQ
-                                                             (QCDR
-                                                              |ISTMP#6|)
-                                                             NIL)))))))))))))
-                                          (SETQ G167109
-                                           (CONS NIL G167109)))))))))))))
-             (SPADLET |$functorLocalParameters|
-                      (PROGN
-                        (SPADLET |argPars|
-                                 (|makeFunctorArgumentParameters|
-                                     |argl| (CDR |signature'|)
-                                     (CAR |signature'|)))
-                        |argl|))
-             (SPADLET |op'| |$op|)
-             (SPADLET |rettype| (CAR |signature'|))
-             (SPADLET T$
-                      (|compFunctorBody| |body| |rettype| |$e|
-                          |parForm|))
-             (COND
-               (|$compileOnlyCertainItems|
-                   (|reportOnFunctorCompilation|)
-                   (CONS NIL
-                         (CONS (CONS '|Mapping| |signature'|)
-                               (CONS |originale| NIL))))
-               ('T (SPADLET |body'| (CAR T$))
-                (SPADLET |lamOrSlam|
-                         (COND (|$mutableDomain| 'LAM) ('T 'SPADSLAM)))
-                (SPADLET |fun|
-                         (|compile|
-                             (SUBLIS |$pairlis|
-                                     (CONS |op'|
-                                      (CONS
-                                       (CONS |lamOrSlam|
-                                        (CONS |argl|
-                                         (CONS |body'| NIL)))
-                                       NIL)))))
-                (SPADLET |operationAlist|
-                         (SUBLIS |$pairlis| |$lisplibOperationAlist|))
-                (COND
-                  ($LISPLIB
-                      (|augmentLisplibModemapsFromFunctor| |parForm|
-                          |operationAlist| |parSignature|)))
-                (|reportOnFunctorCompilation|)
-                (COND
-                  ($LISPLIB
-                      (SPADLET |modemap|
-                               (CONS (CONS |parForm| |parSignature|)
-                                     (CONS (CONS 'T (CONS |op'| NIL))
-                                      NIL)))
-                      (SPADLET |$lisplibModemap| |modemap|)
-                      (SPADLET |$lisplibCategory| (CADAR |modemap|))
-                      (SPADLET |$lisplibParents|
-                               (|getParentsFor| |$op|
-                                   |$FormalMapVariableList|
-                                   |$lisplibCategory|))
-                      (SPADLET |$lisplibAncestors|
-                               (|computeAncestorsOf| |$form| NIL))
-                      (SPADLET |$lisplibAbbreviation|
-                               (|constructor?| |$op|))))
-                (SPADLET |$insideFunctorIfTrue| NIL)
-                (COND
-                  ($LISPLIB
-                      (SPADLET |$lisplibKind|
-                               (COND
-                                 ((AND (PAIRP |$functorTarget|)
-                                       (EQ (QCAR |$functorTarget|)
-                                        'CATEGORY)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |$functorTarget|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |key|
-                                             (QCAR |ISTMP#1|))
-                                            'T)))
-                                       (NEQUAL |key| '|domain|))
-                                  '|package|)
-                                 ('T '|domain|)))
-                      (SPADLET |$lisplibForm| |form|)
-                      (COND
-                        ((NULL |$bootStrapMode|)
-                         (SPADLET |$NRTslot1Info| (|NRTmakeSlot1Info|))
-                         (SPADLET |$isOpPackageName|
-                                  (|isCategoryPackageName| |$op|))
-                         (COND
-                           (|$isOpPackageName|
-                               (|lisplibWrite|
-                                   "slot1DataBase"
-                                   (CONS '|updateSlot1DataBase|
-                                    (CONS (MKQ |$NRTslot1Info|) NIL))
-                                   |$libFile|)))
-                         (SPADLET |$lisplibFunctionLocations|
-                                  (SUBLIS |$pairlis|
-                                          |$functionLocations|))
-                         (SPADLET |$lisplibCategoriesExtended|
-                                  (SUBLIS |$pairlis|
-                                          |$lisplibCategoriesExtended|))
-                         (SPADLET |libFn|
-                                  (GETDATABASE |op'| 'ABBREVIATION))
-                         (SPADLET |$lookupFunction|
-                                  (|NRTgetLookupFunction|
-                                      |$functorForm|
-                                      (CADAR |$lisplibModemap|)
-                                      |$NRTaddForm|))
-                         (SPADLET |$byteAddress| 0)
-                         (SPADLET |$byteVec| NIL)
-                         (SPADLET |$NRTslot1PredicateList|
-                                  (PROG (G167123)
-                                    (SPADLET G167123 NIL)
-                                    (RETURN
-                                      (DO
-                                       ((G167128
-                                         |$NRTslot1PredicateList|
-                                         (CDR G167128))
-                                        (|x| NIL))
-                                       ((OR (ATOM G167128)
-                                         (PROGN
-                                           (SETQ |x| (CAR G167128))
-                                           NIL))
-                                        (NREVERSE0 G167123))
-                                        (SEQ
-                                         (EXIT
-                                          (SETQ G167123
-                                           (CONS (|simpBool| |x|)
-                                            G167123))))))))
-                         (|rwriteLispForm| '|loadTimeStuff|
-                             (CONS 'MAKEPROP
-                                   (CONS (MKQ |$op|)
-                                    (CONS ''|infovec|
-                                     (CONS (|getInfovecCode|) NIL)))))))
-                      (SPADLET |$lisplibSlot1| |$NRTslot1Info|)
-                      (SPADLET |$lisplibOperationAlist|
-                               |operationAlist|)
-                      (SPADLET |$lisplibMissingFunctions|
-                               |$CheckVectorList|)))
-                (|lisplibWrite| "compilerInfo"
-                    (|removeZeroOne|
-                        (CONS 'SETQ
-                              (CONS '|$CategoryFrame|
-                                    (CONS
-                                     (CONS '|put|
-                                      (CONS
-                                       (CONS 'QUOTE (CONS |op'| NIL))
-                                       (CONS ''|isFunctor|
-                                        (CONS
-                                         (CONS 'QUOTE
-                                          (CONS |operationAlist| NIL))
-                                         (CONS
-                                          (CONS '|addModemap|
-                                           (CONS
-                                            (CONS 'QUOTE
-                                             (CONS |op'| NIL))
-                                            (CONS
-                                             (CONS 'QUOTE
-                                              (CONS |parForm| NIL))
-                                             (CONS
-                                              (CONS 'QUOTE
-                                               (CONS |parSignature|
-                                                NIL))
-                                              (CONS 'T
-                                               (CONS
-                                                (CONS 'QUOTE
-                                                 (CONS |op'| NIL))
-                                                (CONS
-                                                 (CONS '|put|
-                                                  (CONS
-                                                   (CONS 'QUOTE
-                                                    (CONS |op'| NIL))
-                                                   (CONS ''|mode|
-                                                    (CONS
-                                                     (CONS 'QUOTE
-                                                      (CONS
-                                                       (CONS '|Mapping|
-                                                        |parSignature|)
-                                                       NIL))
-                                                     (CONS
-                                                      '|$CategoryFrame|
-                                                      NIL)))))
-                                                 NIL)))))))
-                                          NIL)))))
-                                     NIL))))
-                    |$libFile|)
-                (COND
-                  ((NULL |argl|)
-                   (|evalAndRwriteLispForm| 'NILADIC
-                       (CONS 'MAKEPROP
-                             (CONS (CONS 'QUOTE (CONS |op'| NIL))
-                                   (CONS
-                                    (CONS 'QUOTE (CONS 'NILADIC NIL))
-                                    (CONS 'T NIL)))))))
-                (CONS |fun|
-                      (CONS (CONS '|Mapping| |signature'|)
-                            (CONS |originale| NIL))))))))))
-
-;disallowNilAttribute x ==
-;  res := [y for y in x | car y and car y ^= "nil"]
-
-(DEFUN |disallowNilAttribute| (|x|)
-  (PROG (|res|)
-    (RETURN
-      (SEQ (SPADLET |res|
-                    (PROG (G167349)
-                      (SPADLET G167349 NIL)
-                      (RETURN
-                        (DO ((G167355 |x| (CDR G167355)) (|y| NIL))
-                            ((OR (ATOM G167355)
-                                 (PROGN
-                                   (SETQ |y| (CAR G167355))
-                                   NIL))
-                             (NREVERSE0 G167349))
-                          (SEQ (EXIT (COND
-                                       ((AND (CAR |y|)
-                                         (NEQUAL (CAR |y|) '|nil|))
-                                        (SETQ G167349
-                                         (CONS |y| G167349))))))))))))))
-
-;--HACK to get rid of nil attibutes ---NOTE: nil is RENAMED to NIL
-;compFunctorBody(body,m,e,parForm) ==
-;  $bootStrapMode = true =>
-;    [bootStrapError($functorForm, _/EDITFILE),m,e]
-;  T:= compOrCroak(body,m,e)
-;  body is [op,:.] and MEMQ(op,'(add CAPSULE)) => T
-;  $NRTaddForm :=
-;    body is ["SubDomain",domainForm,predicate] => domainForm
-;    body
-;  T
-
-(DEFUN |compFunctorBody| (|body| |m| |e| |parForm|)
-  (declare (ignore |parForm|))
-  (PROG (T$ |op| |ISTMP#1| |domainForm| |ISTMP#2| |predicate|)
-  (declare (special |$NRTaddForm| |$functorForm| |$bootStrapMode| /EDITFILE))
-    (RETURN
-      (COND
-        ((BOOT-EQUAL |$bootStrapMode| 'T)
-         (CONS (|bootStrapError| |$functorForm| /EDITFILE)
-               (CONS |m| (CONS |e| NIL))))
-        ('T (SPADLET T$ (|compOrCroak| |body| |m| |e|))
-         (COND
-           ((AND (PAIRP |body|) (PROGN (SPADLET |op| (QCAR |body|)) 'T)
-                 (member |op| '(|add| CAPSULE)))
-            T$)
-           ('T
-            (SPADLET |$NRTaddForm|
-                     (COND
-                       ((AND (PAIRP |body|)
-                             (EQ (QCAR |body|) '|SubDomain|)
-                             (PROGN
-                               (SPADLET |ISTMP#1| (QCDR |body|))
-                               (AND (PAIRP |ISTMP#1|)
-                                    (PROGN
-                                      (SPADLET |domainForm|
-                                       (QCAR |ISTMP#1|))
-                                      (SPADLET |ISTMP#2|
-                                       (QCDR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCDR |ISTMP#2|) NIL)
-                                       (PROGN
-                                         (SPADLET |predicate|
-                                          (QCAR |ISTMP#2|))
-                                         'T))))))
-                        |domainForm|)
-                       ('T |body|)))
-            T$)))))))
-
-;reportOnFunctorCompilation() ==
-;  displayMissingFunctions()
-;  if $semanticErrorStack then sayBrightly '" "
-;  displaySemanticErrors()
-;  if $warningStack then sayBrightly '" "
-;  displayWarnings()
-;  $functorStats:= addStats($functorStats,$functionStats)
-;  [byteCount,elapsedSeconds] := $functorStats
-;  sayBrightly ['%l,:bright '"  Cumulative Statistics for Constructor",
-;    $op]
-;  timeString := normalizeStatAndStringify elapsedSeconds
-;  sayBrightly ['"      Time:",:bright timeString,'"seconds"]
-;  sayBrightly '" "
-;  'done
-
-(DEFUN |reportOnFunctorCompilation| ()
-  (PROG (|byteCount| |elapsedSeconds| |timeString|)
-  (declare (special |$op| |$functorStats| |$functionStats| |$warningStack|
-                    |$semanticErrorStack|))
-    (RETURN
-      (PROGN
-        (|displayMissingFunctions|)
-        (COND
-          (|$semanticErrorStack| (|sayBrightly| " ")))
-        (|displaySemanticErrors|)
-        (COND (|$warningStack| (|sayBrightly| " ")))
-        (|displayWarnings|)
-        (SPADLET |$functorStats|
-                 (|addStats| |$functorStats| |$functionStats|))
-        (SPADLET |byteCount| (CAR |$functorStats|))
-        (SPADLET |elapsedSeconds| (CADR |$functorStats|))
-        (|sayBrightly|
-            (CONS '|%l|
-                  (APPEND (|bright|
-                                                                "  Cumulative Statistics for Constructor")
-                          (CONS |$op| NIL))))
-        (SPADLET |timeString|
-                 (|normalizeStatAndStringify| |elapsedSeconds|))
-        (|sayBrightly|
-            (CONS "      Time:"
-                  (APPEND (|bright| |timeString|)
-                          (CONS "seconds" NIL))))
-        (|sayBrightly| " ")
-        '|done|))))
-
-;displayMissingFunctions() ==
-;  null $CheckVectorList => nil
-;  loc := nil
-;  exp := nil
-;  for [[op,sig,:.],:pred] in $CheckVectorList  | null pred repeat
-;    null MEMBER(op,$formalArgList) and
-;      getmode(op,$env) is ['Mapping,:.] =>
-;        loc := [[op,sig],:loc]
-;    exp := [[op,sig],:exp]
-;  if loc then
-;    sayBrightly ['%l,:bright '"  Missing Local Functions:"]
-;    for [op,sig] in loc for i in 1.. repeat
-;      sayBrightly ['"      [",i,'"]",:bright op,
-;        ": ",:formatUnabbreviatedSig sig]
-;  if exp then
-;    sayBrightly ['%l,:bright '"  Missing Exported Functions:"]
-;    for [op,sig] in exp for i in 1.. repeat
-;      sayBrightly ['"      [",i,'"]",:bright op,
-;        ": ",:formatUnabbreviatedSig sig]
-
-(DEFUN |displayMissingFunctions| ()
-  (PROG (|pred| |ISTMP#1| |loc| |exp| |op| |sig|)
-  (declare (special |$env| |$formalArgList| |$CheckVectorList|))
-    (RETURN
-      (SEQ (COND
-             ((NULL |$CheckVectorList|) NIL)
-             ('T (SPADLET |loc| NIL) (SPADLET |exp| NIL)
-              (DO ((G167431 |$CheckVectorList| (CDR G167431))
-                   (G167408 NIL))
-                  ((OR (ATOM G167431)
-                       (PROGN (SETQ G167408 (CAR G167431)) NIL)
-                       (PROGN
-                         (PROGN
-                           (SPADLET |op| (CAAR G167408))
-                           (SPADLET |sig| (CADAR G167408))
-                           (SPADLET |pred| (CDR G167408))
-                           G167408)
-                         NIL))
-                   NIL)
-                (SEQ (EXIT (COND
-                             ((NULL |pred|)
-                              (COND
-                                ((AND (NULL
-                                       (|member| |op| |$formalArgList|))
-                                      (PROGN
-                                        (SPADLET |ISTMP#1|
-                                         (|getmode| |op| |$env|))
-                                        (AND (PAIRP |ISTMP#1|)
-                                         (EQ (QCAR |ISTMP#1|)
-                                          '|Mapping|))))
-                                 (SPADLET |loc|
-                                          (CONS
-                                           (CONS |op| (CONS |sig| NIL))
-                                           |loc|)))
-                                ('T
-                                 (SPADLET |exp|
-                                          (CONS
-                                           (CONS |op| (CONS |sig| NIL))
-                                           |exp|)))))))))
-              (COND
-                (|loc| (|sayBrightly|
-                           (CONS '|%l|
-                                 (|bright|
-                                                                           "  Missing Local Functions:")))
-                       (DO ((G167443 |loc| (CDR G167443))
-                            (G167413 NIL) (|i| 1 (QSADD1 |i|)))
-                           ((OR (ATOM G167443)
-                                (PROGN
-                                  (SETQ G167413 (CAR G167443))
-                                  NIL)
-                                (PROGN
-                                  (PROGN
-                                    (SPADLET |op| (CAR G167413))
-                                    (SPADLET |sig| (CADR G167413))
-                                    G167413)
-                                  NIL))
-                            NIL)
-                         (SEQ (EXIT (|sayBrightly|
-                                     (CONS "      ["
-                                      (CONS |i|
-                                       (CONS "]"
-                                        (APPEND (|bright| |op|)
-                                         (CONS '|: |
-                                          (|formatUnabbreviatedSig|
-                                           |sig|))))))))))))
-              (COND
-                (|exp| (|sayBrightly|
-                           (CONS '|%l|
-                                 (|bright|
-                                                                           "  Missing Exported Functions:")))
-                       (DO ((G167455 |exp| (CDR G167455))
-                            (G167418 NIL) (|i| 1 (QSADD1 |i|)))
-                           ((OR (ATOM G167455)
-                                (PROGN
-                                  (SETQ G167418 (CAR G167455))
-                                  NIL)
-                                (PROGN
-                                  (PROGN
-                                    (SPADLET |op| (CAR G167418))
-                                    (SPADLET |sig| (CADR G167418))
-                                    G167418)
-                                  NIL))
-                            NIL)
-                         (SEQ (EXIT (|sayBrightly|
-                                     (CONS "      ["
-                                      (CONS |i|
-                                       (CONS "]"
-                                        (APPEND (|bright| |op|)
-                                         (CONS '|: |
-                                          (|formatUnabbreviatedSig|
-                                           |sig|)))))))))))
-                ('T NIL))))))))
-
-;--% domain view code
-;
-;makeFunctorArgumentParameters(argl,sigl,target) ==
-;  $alternateViewList: local:= nil
-;  $forceAdd: local:= true
-;  $ConditionalOperators: local := nil
-;  ("append"/[fn(a,augmentSig(s,findExtras(a,target)))
-;              for a in argl for s in sigl]) where
-;    findExtras(a,target) ==
-;      --  see if conditional information implies anything else
-;      --  in the signature of a
-;      target is ['Join,:l] => "union"/[findExtras(a,x) for x in l]
-;      target is ['CATEGORY,.,:l] => "union"/[findExtras1(a,x) for x in l] where
-;        findExtras1(a,x) ==
-;          x is ['AND,:l] => "union"/[findExtras1(a,y) for y in l]
-;          x is ['OR,:l] => "union"/[findExtras1(a,y) for y in l]
-;          x is ['IF,c,p,q] =>
-;            union(findExtrasP(a,c),
-;                  union(findExtras1(a,p),findExtras1(a,q))) where
-;              findExtrasP(a,x) ==
-;                x is ['AND,:l] => "union"/[findExtrasP(a,y) for y in l]
-;                x is ['OR,:l] => "union"/[findExtrasP(a,y) for y in l]
-;                x is ['has,=a,y] and y is ['SIGNATURE,:.] => [y]
-;                nil
-;        nil
-;    augmentSig(s,ss) ==
-;       -- if we find something extra, add it to the signature
-;      null ss => s
-;      for u in ss repeat
-;        $ConditionalOperators:=[CDR u,:$ConditionalOperators]
-;      s is ['Join,:sl] =>
-;        u:=ASSQ('CATEGORY,ss) =>
-;          SUBST([:u,:ss],u,s)
-;        ['Join,:sl,['CATEGORY,'package,:ss]]
-;      ['Join,s,['CATEGORY,'package,:ss]]
-;    fn(a,s) ==
-;      isCategoryForm(s,$CategoryFrame) =>
-;        s is ["Join",:catlist] => genDomainViewList0(a,rest s)
-;        [genDomainView(a,a,s,"getDomainView")]
-;      [a]
-
-(DEFUN |makeFunctorArgumentParameters,findExtrasP| (|a| |x|)
-  (PROG (|l| |ISTMP#1| |ISTMP#2| |y|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'AND)
-                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
-               (EXIT (PROG (G167526)
-                       (SPADLET G167526 NIL)
-                       (RETURN
-                         (DO ((G167531 |l| (CDR G167531))
-                              (|y| NIL))
-                             ((OR (ATOM G167531)
-                                  (PROGN
-                                    (SETQ |y| (CAR G167531))
-                                    NIL))
-                              G167526)
-                           (SEQ (EXIT (SETQ G167526
-                                       (|union| G167526
-                                  (|makeFunctorArgumentParameters,findExtrasP|
-                                         |a| |y|))))))))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'OR)
-                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
-               (EXIT (PROG (G167537)
-                       (SPADLET G167537 NIL)
-                       (RETURN
-                         (DO ((G167542 |l| (CDR G167542))
-                              (|y| NIL))
-                             ((OR (ATOM G167542)
-                                  (PROGN
-                                    (SETQ |y| (CAR G167542))
-                                    NIL))
-                              G167537)
-                           (SEQ (EXIT (SETQ G167537
-                                       (|union| G167537
-                                   (|makeFunctorArgumentParameters,findExtrasP|
-                                         |a| |y|))))))))))
-           (IF (AND (AND (PAIRP |x|) (EQ (QCAR |x|) '|has|)
-                         (PROGN
-                           (SPADLET |ISTMP#1| (QCDR |x|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (EQUAL (QCAR |ISTMP#1|) |a|)
-                                (PROGN
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (EQ (QCDR |ISTMP#2|) NIL)
-                                       (PROGN
-                                         (SPADLET |y| (QCAR |ISTMP#2|))
-                                         'T))))))
-                    (AND (PAIRP |y|) (EQ (QCAR |y|) 'SIGNATURE)))
-               (EXIT (CONS |y| NIL)))
-           (EXIT NIL)))))
-
-(DEFUN |makeFunctorArgumentParameters,findExtras1| (|a| |x|)
-  (PROG (|l| |ISTMP#1| |c| |ISTMP#2| |p| |ISTMP#3| |q|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'AND)
-                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
-               (EXIT (PROG (G167560)
-                       (SPADLET G167560 NIL)
-                       (RETURN
-                         (DO ((G167565 |l| (CDR G167565))
-                              (|y| NIL))
-                             ((OR (ATOM G167565)
-                                  (PROGN
-                                    (SETQ |y| (CAR G167565))
-                                    NIL))
-                              G167560)
-                           (SEQ (EXIT (SETQ G167560
-                                       (|union| G167560
-                                        (|makeFunctorArgumentParameters,findExtras1|
-                                         |a| |y|))))))))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'OR)
-                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
-               (EXIT (PROG (G167571)
-                       (SPADLET G167571 NIL)
-                       (RETURN
-                         (DO ((G167576 |l| (CDR G167576))
-                              (|y| NIL))
-                             ((OR (ATOM G167576)
-                                  (PROGN
-                                    (SETQ |y| (CAR G167576))
-                                    NIL))
-                              G167571)
-                           (SEQ (EXIT (SETQ G167571
-                                       (|union| G167571
-                                        (|makeFunctorArgumentParameters,findExtras1|
-                                         |a| |y|))))))))))
-           (EXIT (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |x|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (PROGN
-                                   (SPADLET |c| (QCAR |ISTMP#1|))
-                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
-                                    (PROGN
-                                      (SPADLET |p| (QCAR |ISTMP#2|))
-                                      (SPADLET |ISTMP#3|
-                                       (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
-                                       (EQ (QCDR |ISTMP#3|) NIL)
-                                       (PROGN
-                                         (SPADLET |q| (QCAR |ISTMP#3|))
-                                         'T))))))))
-                    (EXIT (|union| (|makeFunctorArgumentParameters,findExtrasP|
-                                     |a| |c|)
-                                    (|union|
-                                   (|makeFunctorArgumentParameters,findExtras1|
-                                      |a| |p|)
-                                   (|makeFunctorArgumentParameters,findExtras1|
-                                      |a| |q|))))))))))
-
-(DEFUN |makeFunctorArgumentParameters,fn| (|a| |s|)
-  (PROG (|catlist|)
-  (declare (special |$CategoryFrame|))
-    (RETURN
-      (SEQ (IF (|isCategoryForm| |s| |$CategoryFrame|)
-               (EXIT (SEQ (IF (AND (PAIRP |s|) (EQ (QCAR |s|) '|Join|)
-                                   (PROGN
-                                     (SPADLET |catlist| (QCDR |s|))
-                                     'T))
-                              (EXIT (|genDomainViewList0| |a|
-                                     (CDR |s|))))
-                          (EXIT (CONS (|genDomainView| |a| |a| |s|
-                                       '|getDomainView|)
-                                      NIL)))))
-           (EXIT (CONS |a| NIL))))))
-
-(DEFUN |makeFunctorArgumentParameters,augmentSig| (|s| |ss|)
-  (PROG (|sl| |u|)
-  (declare (special |$ConditionalOperators|))
-    (RETURN
-      (SEQ (IF (NULL |ss|) (EXIT |s|))
-           (DO ((G167609 |ss| (CDR G167609)) (|u| NIL))
-               ((OR (ATOM G167609)
-                    (PROGN (SETQ |u| (CAR G167609)) NIL))
-                NIL)
-             (SEQ (EXIT (SPADLET |$ConditionalOperators|
-                                 (CONS (CDR |u|)
-                                       |$ConditionalOperators|)))))
-           (IF (AND (PAIRP |s|) (EQ (QCAR |s|) '|Join|)
-                    (PROGN (SPADLET |sl| (QCDR |s|)) 'T))
-               (EXIT (SEQ (IF (SPADLET |u| (ASSQ 'CATEGORY |ss|))
-                              (EXIT (MSUBST (APPEND |u| |ss|) |u| |s|)))
-                          (EXIT (CONS '|Join|
-                                      (APPEND |sl|
-                                       (CONS
-                                        (CONS 'CATEGORY
-                                         (CONS '|package| |ss|))
-                                        NIL)))))))
-           (EXIT (CONS '|Join|
-                       (CONS |s|
-                             (CONS (CONS 'CATEGORY
-                                    (CONS '|package| |ss|))
-                                   NIL))))))))
-
-(DEFUN |makeFunctorArgumentParameters,findExtras| (|a| |target|)
-  (PROG (|ISTMP#1| |l|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |target|) (EQ (QCAR |target|) '|Join|)
-                    (PROGN (SPADLET |l| (QCDR |target|)) 'T))
-               (EXIT (PROG (G167621)
-                       (SPADLET G167621 NIL)
-                       (RETURN
-                         (DO ((G167626 |l| (CDR G167626))
-                              (|x| NIL))
-                             ((OR (ATOM G167626)
-                                  (PROGN
-                                    (SETQ |x| (CAR G167626))
-                                    NIL))
-                              G167621)
-                           (SEQ (EXIT (SETQ G167621
-                                       (|union| G167621
-                                        (|makeFunctorArgumentParameters,findExtras|
-                                         |a| |x|))))))))))
-           (EXIT (IF (AND (PAIRP |target|)
-                          (EQ (QCAR |target|) 'CATEGORY)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |target|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (PROGN
-                                   (SPADLET |l| (QCDR |ISTMP#1|))
-                                   'T))))
-                     (EXIT (PROG (G167632)
-                             (SPADLET G167632 NIL)
-                             (RETURN
-                               (DO ((G167637 |l| (CDR G167637))
-                                    (|x| NIL))
-                                   ((OR (ATOM G167637)
-                                     (PROGN
-                                       (SETQ |x| (CAR G167637))
-                                       NIL))
-                                    G167632)
-                                 (SEQ (EXIT
-                                       (SETQ G167632
-                                        (|union| G167632
-                                         (|makeFunctorArgumentParameters,findExtras1|
-                                          |a| |x|)))))))))))))))
-
-(DEFUN |makeFunctorArgumentParameters| (|argl| |sigl| |target|)
-  (PROG (|$alternateViewList| |$forceAdd| |$ConditionalOperators|)
-    (DECLARE (SPECIAL |$alternateViewList| |$forceAdd|
-                      |$ConditionalOperators|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$alternateViewList| NIL)
-             (SPADLET |$forceAdd| 'T)
-             (SPADLET |$ConditionalOperators| NIL)
-             (PROG (G167653)
-               (SPADLET G167653 NIL)
-               (RETURN
-                 (DO ((G167659 |argl| (CDR G167659)) (|a| NIL)
-                      (G167660 |sigl| (CDR G167660)) (|s| NIL))
-                     ((OR (ATOM G167659)
-                          (PROGN (SETQ |a| (CAR G167659)) NIL)
-                          (ATOM G167660)
-                          (PROGN (SETQ |s| (CAR G167660)) NIL))
-                      G167653)
-                   (SEQ (EXIT (SETQ G167653
-                                    (APPEND G167653
-                                     (|makeFunctorArgumentParameters,fn|
-                                      |a|
-                                    (|makeFunctorArgumentParameters,augmentSig|
-                                       |s|
-                                    (|makeFunctorArgumentParameters,findExtras|
-                                        |a| |target|)))))))))))))))
-
-;genDomainViewList0(id,catlist) ==
-;  l:= genDomainViewList(id,catlist,true)
-;  l
-
-(DEFUN |genDomainViewList0| (|id| |catlist|)
-  (PROG (|l|)
-    (RETURN
-      (PROGN
-        (SPADLET |l| (|genDomainViewList| |id| |catlist| 'T))
-        |l|))))
-
-;genDomainViewList(id,catlist,firsttime) ==
-;  null catlist => nil
-;  catlist is [y] and not isCategoryForm(y,$EmptyEnvironment) => nil
-;  [genDomainView(if firsttime then id else genDomainViewName(id,first catlist),
-;    id,first catlist,"getDomainView"),:genDomainViewList(id,rest catlist,nil)]
-
-(DEFUN |genDomainViewList| (|id| |catlist| |firsttime|)
-  (PROG (|y|)
-  (declare (special |$EmptyEnvironment|))
-    (RETURN
-      (COND
-        ((NULL |catlist|) NIL)
-        ((AND (PAIRP |catlist|) (EQ (QCDR |catlist|) NIL)
-              (PROGN (SPADLET |y| (QCAR |catlist|)) 'T)
-              (NULL (|isCategoryForm| |y| |$EmptyEnvironment|)))
-         NIL)
-        ('T
-         (CONS (|genDomainView|
-                   (COND
-                     (|firsttime| |id|)
-                     ('T (|genDomainViewName| |id| (CAR |catlist|))))
-                   |id| (CAR |catlist|) '|getDomainView|)
-               (|genDomainViewList| |id| (CDR |catlist|) NIL)))))))
-
-;genDomainView(viewName,originalName,c,viewSelector) ==
-;  c is ['CATEGORY,.,:l] => genDomainOps(viewName,originalName,c)
-;  code:=
-;    c is ['SubsetCategory,c',.] => c'
-;    c
-;  $e:= augModemapsFromCategory(originalName,viewName,nil,c,$e)
-;  --$alternateViewList:= ((viewName,:code),:$alternateViewList)
-;  cd:= ['LET,viewName,[viewSelector,originalName,mkDomainConstructor code]]
-;  if null MEMBER(cd,$getDomainCode) then
-;          $getDomainCode:= [cd,:$getDomainCode]
-;  viewName
-
-(DEFUN |genDomainView| (|viewName| |originalName| |c| |viewSelector|)
-  (PROG (|l| |ISTMP#1| |c'| |ISTMP#2| |code| |cd|)
-  (declare (special |$getDomainCode| |$e|))
-    (RETURN
-      (COND
-        ((AND (PAIRP |c|) (EQ (QCAR |c|) 'CATEGORY)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |c|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
-         (|genDomainOps| |viewName| |originalName| |c|))
-        ('T
-         (SPADLET |code|
-                  (COND
-                    ((AND (PAIRP |c|) (EQ (QCAR |c|) '|SubsetCategory|)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |c|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (PROGN
-                                   (SPADLET |c'| (QCAR |ISTMP#1|))
-                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCDR |ISTMP#2|) NIL))))))
-                     |c'|)
-                    ('T |c|)))
-         (SPADLET |$e|
-                  (|augModemapsFromCategory| |originalName| |viewName|
-                      NIL |c| |$e|))
-         (SPADLET |cd|
-                  (CONS 'LET
-                        (CONS |viewName|
-                              (CONS (CONS |viewSelector|
-                                     (CONS |originalName|
-                                      (CONS
-                                       (|mkDomainConstructor| |code|)
-                                       NIL)))
-                                    NIL))))
-         (COND
-           ((NULL (|member| |cd| |$getDomainCode|))
-            (SPADLET |$getDomainCode| (CONS |cd| |$getDomainCode|))))
-         |viewName|)))))
-
-;genDomainOps(viewName,dom,cat) ==
-;  oplist:= getOperationAlist(dom,dom,cat)
-;  siglist:= [sig for [sig,:.] in oplist]
-;  oplist:= substNames(dom,viewName,dom,oplist)
-;  cd:=
-;    ['LET,viewName,['mkOpVec,dom,['LIST,:
-;      [['LIST,MKQ op,['LIST,:[mkDomainConstructor mode for mode in sig]]]
-;        for [op,sig] in siglist]]]]
-;  $getDomainCode:= [cd,:$getDomainCode]
-;  for [opsig,cond,:.] in oplist for i in 0.. repeat
-;    if opsig in $ConditionalOperators then cond:=nil
-;    [op,sig]:=opsig
-;    $e:= addModemap(op,dom,sig,cond,['ELT,viewName,i],$e)
-;  viewName
-
-(DEFUN |genDomainOps| (|viewName| |dom| |cat|)
-  (PROG (|siglist| |oplist| |cd| |opsig| |cond| |op| |sig|)
-  (declare (special |$e| |$ConditionalOperators| |$getDomainCode|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |oplist| (|getOperationAlist| |dom| |dom| |cat|))
-             (SPADLET |siglist|
-                      (PROG (G167741)
-                        (SPADLET G167741 NIL)
-                        (RETURN
-                          (DO ((G167747 |oplist| (CDR G167747))
-                               (G167720 NIL))
-                              ((OR (ATOM G167747)
-                                   (PROGN
-                                     (SETQ G167720 (CAR G167747))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |sig| (CAR G167720))
-                                       G167720)
-                                     NIL))
-                               (NREVERSE0 G167741))
-                            (SEQ (EXIT (SETQ G167741
-                                        (CONS |sig| G167741))))))))
-             (SPADLET |oplist|
-                      (|substNames| |dom| |viewName| |dom| |oplist|))
-             (SPADLET |cd|
-                      (CONS 'LET
-                            (CONS |viewName|
-                                  (CONS (CONS '|mkOpVec|
-                                         (CONS |dom|
-                                          (CONS
-                                           (CONS 'LIST
-                                            (PROG (G167759)
-                                              (SPADLET G167759 NIL)
-                                              (RETURN
-                                                (DO
-                                                 ((G167765 |siglist|
-                                                   (CDR G167765))
-                                                  (G167723 NIL))
-                                                 ((OR (ATOM G167765)
-                                                   (PROGN
-                                                     (SETQ G167723
-                                                      (CAR G167765))
-                                                     NIL)
-                                                   (PROGN
-                                                     (PROGN
-                                                       (SPADLET |op|
-                                                        (CAR G167723))
-                                                       (SPADLET |sig|
-                                                        (CADR
-                                                         G167723))
-                                                       G167723)
-                                                     NIL))
-                                                  (NREVERSE0 G167759))
-                                                  (SEQ
-                                                   (EXIT
-                                                    (SETQ G167759
-                                                     (CONS
-                                                      (CONS 'LIST
-                                                       (CONS (MKQ |op|)
-                                                        (CONS
-                                                         (CONS 'LIST
-                                                          (PROG
-                                                           (G167776)
-                                                            (SPADLET
-                                                             G167776
-                                                             NIL)
-                                                            (RETURN
-                                                              (DO
-                                                               ((G167781
-                                                                 |sig|
-                                                                 (CDR
-                                                                  G167781))
-                                                                (|mode|
-                                                                 NIL))
-                                                               ((OR
-                                                                 (ATOM
-                                                                  G167781)
-                                                                 (PROGN
-                                                                   (SETQ
-                                                                    |mode|
-                                                                    (CAR
-                                                                     G167781))
-                                                                   NIL))
-                                                                (NREVERSE0
-                                                                 G167776))
-                                                                (SEQ
-                                                                 (EXIT
-                                                                  (SETQ
-                                                                   G167776
-                                                                   (CONS
-                                                         (|mkDomainConstructor|
-                                                                     |mode|)
-                                                                G167776))))))))
-                                                         NIL)))
-                                                      G167759))))))))
-                                           NIL)))
-                                        NIL))))
-             (SPADLET |$getDomainCode| (CONS |cd| |$getDomainCode|))
-             (DO ((G167796 |oplist| (CDR G167796)) (G167731 NIL)
-                  (|i| 0 (QSADD1 |i|)))
-                 ((OR (ATOM G167796)
-                      (PROGN (SETQ G167731 (CAR G167796)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |opsig| (CAR G167731))
-                          (SPADLET |cond| (CADR G167731))
-                          G167731)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (COND
-                              ((|member| |opsig|
-                                   |$ConditionalOperators|)
-                               (SPADLET |cond| NIL)))
-                            (SPADLET |op| (CAR |opsig|))
-                            (SPADLET |sig| (CADR |opsig|))
-                            (SPADLET |$e|
-                                     (|addModemap| |op| |dom| |sig|
-                                      |cond|
-                                      (CONS 'ELT
-                                       (CONS |viewName| (CONS |i| NIL)))
-                                      |$e|))))))
-             |viewName|)))))
-
-;mkOpVec(dom,siglist) ==
-;  dom:= getPrincipalView dom
-;  substargs:= [['$,:dom.0],:
-;    [[a,:x] for a in $FormalMapVariableList for x in rest dom.0]]
-;  oplist:= getOperationAlistFromLisplib opOf dom.0
-;  --new form is (    )
-;  ops:= MAKE_-VEC (#siglist)
-;  for (opSig:= [op,sig]) in siglist for i in 0.. repeat
-;    u:= ASSQ(op,oplist)
-;    ASSOC(sig,u) is [.,n,.,'ELT] => ops.i := dom.n
-;    noplist:= SUBLIS(substargs,u)
-; -- following variation on ASSOC needed for GENSYMS in Mutable domains
-;    AssocBarGensym(SUBST(dom.0,'$,sig),noplist) is [.,n,.,'ELT] =>
-;                   ops.i := dom.n
-;    ops.i := [Undef,[dom.0,i],:opSig]
-;  ops
-
-(DEFUN |mkOpVec| (|dom| |siglist|)
-  (PROG (|substargs| |oplist| |ops| |op| |sig| |u| |noplist| |ISTMP#1|
-            |ISTMP#2| |n| |ISTMP#3| |ISTMP#4|)
-  (declare (special |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |dom| (|getPrincipalView| |dom|))
-             (SPADLET |substargs|
-                      (CONS (CONS '$ (ELT |dom| 0))
-                            (PROG (G167887)
-                              (SPADLET G167887 NIL)
-                              (RETURN
-                                (DO ((G167893
-                                      |$FormalMapVariableList|
-                                      (CDR G167893))
-                                     (|a| NIL)
-                                     (G167894 (CDR (ELT |dom| 0))
-                                      (CDR G167894))
-                                     (|x| NIL))
-                                    ((OR (ATOM G167893)
-                                      (PROGN
-                                        (SETQ |a| (CAR G167893))
-                                        NIL)
-                                      (ATOM G167894)
-                                      (PROGN
-                                        (SETQ |x| (CAR G167894))
-                                        NIL))
-                                     (NREVERSE0 G167887))
-                                  (SEQ (EXIT
-                                        (SETQ G167887
-                                         (CONS (CONS |a| |x|)
-                                          G167887)))))))))
-             (SPADLET |oplist|
-                      (|getOperationAlistFromLisplib|
-                          (|opOf| (ELT |dom| 0))))
-             (SPADLET |ops| (make-array (|#| |siglist|)))
-             (DO ((G167928 |siglist| (CDR G167928)) (|opSig| NIL)
-                  (|i| 0 (QSADD1 |i|)))
-                 ((OR (ATOM G167928)
-                      (PROGN (SETQ |opSig| (CAR G167928)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAR |opSig|))
-                          (SPADLET |sig| (CADR |opSig|))
-                          |opSig|)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |u| (ASSQ |op| |oplist|))
-                            (COND
-                              ((PROGN
-                                 (SPADLET |ISTMP#1|
-                                          (|assoc| |sig| |u|))
-                                 (AND (PAIRP |ISTMP#1|)
-                                      (PROGN
-                                        (SPADLET |ISTMP#2|
-                                         (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
-                                         (PROGN
-                                           (SPADLET |n|
-                                            (QCAR |ISTMP#2|))
-                                           (SPADLET |ISTMP#3|
-                                            (QCDR |ISTMP#2|))
-                                           (AND (PAIRP |ISTMP#3|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#4|
-                                               (QCDR |ISTMP#3|))
-                                              (AND (PAIRP |ISTMP#4|)
-                                               (EQ (QCDR |ISTMP#4|)
-                                                NIL)
-                                               (EQ (QCAR |ISTMP#4|)
-                                                'ELT)))))))))
-                               (SETELT |ops| |i| (ELT |dom| |n|)))
-                              ('T
-                               (SPADLET |noplist|
-                                        (SUBLIS |substargs| |u|))
-                               (COND
-                                 ((PROGN
-                                    (SPADLET |ISTMP#1|
-                                     (|AssocBarGensym|
-                                      (MSUBST (ELT |dom| 0) '$ |sig|)
-                                      |noplist|))
-                                    (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |ISTMP#2|
-                                        (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (PROGN
-                                          (SPADLET |n|
-                                           (QCAR |ISTMP#2|))
-                                          (SPADLET |ISTMP#3|
-                                           (QCDR |ISTMP#2|))
-                                          (AND (PAIRP |ISTMP#3|)
-                                           (PROGN
-                                             (SPADLET |ISTMP#4|
-                                              (QCDR |ISTMP#3|))
-                                             (AND (PAIRP |ISTMP#4|)
-                                              (EQ (QCDR |ISTMP#4|) NIL)
-                                              (EQ (QCAR |ISTMP#4|)
-                                               'ELT)))))))))
-                                  (SETELT |ops| |i| (ELT |dom| |n|)))
-                                 ('T
-                                  (SETELT |ops| |i|
-                                          (CONS |Undef|
-                                           (CONS
-                                            (CONS (ELT |dom| 0)
-                                             (CONS |i| NIL))
-                                            |opSig|)))))))))))
-             |ops|)))))
-
-;genDomainViewName(a,category) ==
-;--+
-;  a
-
-(DEFUN |genDomainViewName| (|a| |category|) 
- (declare (ignore |category|))
- |a|)
-
-;compDefWhereClause(['DEF,form,signature,specialCases,body],m,e) ==
-;-- form is lhs (f a1 ... an) of definition; body is rhs;
-;-- signature is (t0 t1 ... tn) where t0= target type, ti=type of ai, i > 0;
-;-- specialCases is (NIL l1 ... ln) where li is list of special cases
-;-- which can be given for each ti
-;
-;-- removes declarative and assignment information from form and
-;-- signature, placing it in list L, replacing form by ("where",form',:L),
-;-- signature by a list of NILs (signifying declarations are in e)
-;  $sigAlist: local := nil
-;  $predAlist: local := nil
-;
-;-- 1. create sigList= list of all signatures which have embedded
-;--    declarations moved into global variable $sigAlist
-;  sigList:=
-;    [transformType fetchType(a,x,e,form) for a in rest form for x in rest signature]
-;       where
-;        fetchType(a,x,e,form) ==
-;          x => x
-;          getmode(a,e) or userError concat(
-;            '"There is no mode for argument",a,'"of function",first form)
-;        transformType x ==
-;          atom x => x
-;          x is [":",R,Rtype] =>
-;            ($sigAlist:= [[R,:transformType Rtype],:$sigAlist]; x)
-;          x is ['Record,:.] => x --RDJ 8/83
-;          [first x,:[transformType y for y in rest x]]
-;
-;-- 2. replace each argument of the form (|| x p) by x, recording
-;--    the given predicate in global variable $predAlist
-;  argList:=
-;    [removeSuchthat a for a in rest form] where
-;      removeSuchthat x ==
-;        x is ["|",y,p] => ($predAlist:= [[y,:p],:$predAlist]; y)
-;        x
-;
-;-- 3. obtain a list of parameter identifiers (x1 .. xn) ordered so that
-;--       the type of xi is independent of xj if i < j
-;  varList:=
-;    orderByDependency(ASSOCLEFT argDepAlist,ASSOCRIGHT argDepAlist) where
-;      argDepAlist:=
-;        [[x,:dependencies] for [x,:y] in argSigAlist] where
-;          dependencies() ==
-;            setUnion(listOfIdentifiersIn y,
-;              DELETE(x,listOfIdentifiersIn LASSOC(x,$predAlist)))
-;          argSigAlist:= [:$sigAlist,:pairList(argList,sigList)]
-;
-;-- 4. construct a WhereList which declares and/or defines the xi's in
-;--    the order constructed in step 3
-;  (whereList:= [addSuchthat(x,[":",x,LASSOC(x,argSigAlist)]) for x in varList])
-;     where addSuchthat(x,y) == (p:= LASSOC(x,$predAlist) => ["|",y,p]; y)
-;
-;-- 5. compile new ('DEF,("where",form',:WhereList),:.) where
-;--    all argument parameters of form' are bound/declared in WhereList
-;  comp(form',m,e) where
-;    form':=
-;      ["where",defform,:whereList] where
-;        defform:=
-;          ['DEF,form'',signature',specialCases,body] where
-;            form'':= [first form,:argList]
-;            signature':= [first signature,:[nil for x in rest signature]]
-
-(DEFUN |compDefWhereClause,transformType| (|x|)
-  (PROG (|ISTMP#1| R |ISTMP#2| |Rtype|)
-  (declare (special |$sigAlist|))
-    (RETURN
-      (SEQ (IF (ATOM |x|) (EXIT |x|))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|:|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET R (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |Rtype| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (SEQ (SPADLET |$sigAlist|
-                                   (CONS
-                                    (CONS R
-                                     (|compDefWhereClause,transformType|
-                                      |Rtype|))
-                                    |$sigAlist|))
-                          (EXIT |x|))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|Record|)) (EXIT |x|))
-           (EXIT (CONS (CAR |x|)
-                       (PROG (G167983)
-                         (SPADLET G167983 NIL)
-                         (RETURN
-                           (DO ((G167988 (CDR |x|) (CDR G167988))
-                                (|y| NIL))
-                               ((OR (ATOM G167988)
-                                    (PROGN
-                                      (SETQ |y| (CAR G167988))
-                                      NIL))
-                                (NREVERSE0 G167983))
-                             (SEQ (EXIT (SETQ G167983
-                                         (CONS
-                                          (|compDefWhereClause,transformType|
-                                           |y|)
-                                          G167983)))))))))))))
-
-(DEFUN |compDefWhereClause,fetchType| (|a| |x| |e| |form|)
-  (SEQ (IF |x| (EXIT |x|))
-       (EXIT (OR (|getmode| |a| |e|)
-                 (|userError|
-                     (|concat|
-                         "There is no mode for argument"
-                         |a| "of function" (CAR |form|)))))))
-
-(DEFUN |compDefWhereClause,removeSuchthat| (|x|)
-  (PROG (|ISTMP#1| |y| |ISTMP#2| |p|)
-  (declare (special |$predAlist|))
-    (RETURN
-      (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|\||)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |y| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |p| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (SEQ (SPADLET |$predAlist|
-                                   (CONS (CONS |y| |p|) |$predAlist|))
-                          (EXIT |y|))))
-           (EXIT |x|)))))
-
-(DEFUN |compDefWhereClause,addSuchthat| (|x| |y|)
-  (PROG (|p|)
-  (declare (special |$predAlist|))
-    (RETURN
-      (SEQ (IF (SPADLET |p| (LASSOC |x| |$predAlist|))
-               (EXIT (CONS '|\|| (CONS |y| (CONS |p| NIL)))))
-           (EXIT |y|)))))
-
-(DEFUN |compDefWhereClause| (G168068 |m| |e|)
-  (PROG (|$sigAlist| |$predAlist| |form| |signature| |specialCases|
-            |body| |sigList| |argList| |argSigAlist| |x| |y|
-            |argDepAlist| |varList| |whereList| |form''| |signature'|
-            |defform| |form'|)
-    (DECLARE (SPECIAL |$sigAlist| |$predAlist|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form| (CADR G168068))
-             (SPADLET |signature| (CADDR G168068))
-             (SPADLET |specialCases| (CADDDR G168068))
-             (SPADLET |body| (CAR (CDDDDR G168068)))
-             (SPADLET |$sigAlist| NIL)
-             (SPADLET |$predAlist| NIL)
-             (SPADLET |sigList|
-                      (PROG (G168097)
-                        (SPADLET G168097 NIL)
-                        (RETURN
-                          (DO ((G168103 (CDR |form|) (CDR G168103))
-                               (|a| NIL)
-                               (G168104 (CDR |signature|)
-                                   (CDR G168104))
-                               (|x| NIL))
-                              ((OR (ATOM G168103)
-                                   (PROGN
-                                     (SETQ |a| (CAR G168103))
-                                     NIL)
-                                   (ATOM G168104)
-                                   (PROGN
-                                     (SETQ |x| (CAR G168104))
-                                     NIL))
-                               (NREVERSE0 G168097))
-                            (SEQ (EXIT (SETQ G168097
-                                        (CONS
-                                         (|compDefWhereClause,transformType|
-                                          (|compDefWhereClause,fetchType|
-                                           |a| |x| |e| |form|))
-                                         G168097))))))))
-             (SPADLET |argList|
-                      (PROG (G168117)
-                        (SPADLET G168117 NIL)
-                        (RETURN
-                          (DO ((G168122 (CDR |form|) (CDR G168122))
-                               (|a| NIL))
-                              ((OR (ATOM G168122)
-                                   (PROGN
-                                     (SETQ |a| (CAR G168122))
-                                     NIL))
-                               (NREVERSE0 G168117))
-                            (SEQ (EXIT (SETQ G168117
-                                        (CONS
-                                         (|compDefWhereClause,removeSuchthat|
-                                          |a|)
-                                         G168117))))))))
-             (SPADLET |argSigAlist|
-                      (APPEND |$sigAlist|
-                              (|pairList| |argList| |sigList|)))
-             (SPADLET |argDepAlist|
-                      (PROG (G168133)
-                        (SPADLET G168133 NIL)
-                        (RETURN
-                          (DO ((G168139 |argSigAlist|
-                                   (CDR G168139))
-                               (G168034 NIL))
-                              ((OR (ATOM G168139)
-                                   (PROGN
-                                     (SETQ G168034 (CAR G168139))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |x| (CAR G168034))
-                                       (SPADLET |y| (CDR G168034))
-                                       G168034)
-                                     NIL))
-                               (NREVERSE0 G168133))
-                            (SEQ (EXIT (SETQ G168133
-                                        (CONS
-                                         (CONS |x|
-                                          (|union|
-                                           (|listOfIdentifiersIn| |y|)
-                                           (|delete| |x|
-                                            (|listOfIdentifiersIn|
-                                             (LASSOC |x| |$predAlist|)))))
-                                         G168133))))))))
-             (SPADLET |varList|
-                      (|orderByDependency| (ASSOCLEFT |argDepAlist|)
-                          (ASSOCRIGHT |argDepAlist|)))
-             (SPADLET |whereList|
-                      (PROG (G168150)
-                        (SPADLET G168150 NIL)
-                        (RETURN
-                          (DO ((G168155 |varList| (CDR G168155))
-                               (|x| NIL))
-                              ((OR (ATOM G168155)
-                                   (PROGN
-                                     (SETQ |x| (CAR G168155))
-                                     NIL))
-                               (NREVERSE0 G168150))
-                            (SEQ (EXIT (SETQ G168150
-                                        (CONS
-                                         (|compDefWhereClause,addSuchthat|
-                                          |x|
-                                          (CONS '|:|
-                                           (CONS |x|
-                                            (CONS
-                                             (LASSOC |x| |argSigAlist|)
-                                             NIL))))
-                                         G168150))))))))
-             (SPADLET |form''| (CONS (CAR |form|) |argList|))
-             (SPADLET |signature'|
-                      (CONS (CAR |signature|)
-                            (PROG (G168165)
-                              (SPADLET G168165 NIL)
-                              (RETURN
-                                (DO ((G168170 (CDR |signature|)
-                                      (CDR G168170))
-                                     (|x| NIL))
-                                    ((OR (ATOM G168170)
-                                      (PROGN
-                                        (SETQ |x| (CAR G168170))
-                                        NIL))
-                                     (NREVERSE0 G168165))
-                                  (SEQ (EXIT
-                                        (SETQ G168165
-                                         (CONS NIL G168165)))))))))
-             (SPADLET |defform|
-                      (CONS 'DEF
-                            (CONS |form''|
-                                  (CONS |signature'|
-                                        (CONS |specialCases|
-                                         (CONS |body| NIL))))))
-             (SPADLET |form'|
-                      (CONS '|where| (CONS |defform| |whereList|)))
-             (|comp| |form'| |m| |e|))))))
-
-;orderByDependency(vl,dl) ==
-;  -- vl is list of variables, dl is list of dependency-lists
-;  selfDependents:= [v for v in vl for d in dl | MEMQ(v,d)]
-;  for v in vl for d in dl | MEMQ(v,d) repeat
-;    (SAY(v," depends on itself"); fatalError:= true)
-;  fatalError => userError '"Parameter specification error"
-;  until (null vl) repeat
-;    newl:=
-;      [v for v in vl for d in dl | null setIntersection(d,vl)] or return nil
-;    orderedVarList:= [:newl,:orderedVarList]
-;    vl':= setDifference(vl,newl)
-;    dl':= [setDifference(d,newl) for x in vl for d in dl | MEMBER(x,vl')]
-;    vl:= vl'
-;    dl:= dl'
-;  REMDUP NREVERSE orderedVarList --ordered so ith is indep. of jth if i < j
-
-(DEFUN |orderByDependency| (|vl| |dl|)
-  (PROG (|selfDependents| |fatalError| |newl| |orderedVarList| |vl'|
-            |dl'|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |selfDependents|
-                      (PROG (G168215)
-                        (SPADLET G168215 NIL)
-                        (RETURN
-                          (DO ((G168222 |vl| (CDR G168222))
-                               (|v| NIL)
-                               (G168223 |dl| (CDR G168223))
-                               (|d| NIL))
-                              ((OR (ATOM G168222)
-                                   (PROGN
-                                     (SETQ |v| (CAR G168222))
-                                     NIL)
-                                   (ATOM G168223)
-                                   (PROGN
-                                     (SETQ |d| (CAR G168223))
-                                     NIL))
-                               (NREVERSE0 G168215))
-                            (SEQ (EXIT (COND
-                                         ((member |v| |d|)
-                                          (SETQ G168215
-                                           (CONS |v| G168215))))))))))
-             (DO ((G168239 |vl| (CDR G168239)) (|v| NIL)
-                  (G168240 |dl| (CDR G168240)) (|d| NIL))
-                 ((OR (ATOM G168239)
-                      (PROGN (SETQ |v| (CAR G168239)) NIL)
-                      (ATOM G168240)
-                      (PROGN (SETQ |d| (CAR G168240)) NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((member |v| |d|)
-                             (PROGN
-                               (SAY |v|
-                                    " depends on itself")
-                               (SPADLET |fatalError| 'T)))))))
-             (COND
-               (|fatalError|
-                   (|userError|
-                       "Parameter specification error"))
-               ('T
-                (DO ((G168258 NIL (NULL |vl|))) (G168258 NIL)
-                  (SEQ (EXIT (PROGN
-                               (SPADLET |newl|
-                                        (OR
-                                         (PROG (G168268)
-                                           (SPADLET G168268 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G168275 |vl|
-                                                (CDR G168275))
-                                               (|v| NIL)
-                                               (G168276 |dl|
-                                                (CDR G168276))
-                                               (|d| NIL))
-                                              ((OR (ATOM G168275)
-                                                (PROGN
-                                                  (SETQ |v|
-                                                   (CAR G168275))
-                                                  NIL)
-                                                (ATOM G168276)
-                                                (PROGN
-                                                  (SETQ |d|
-                                                   (CAR G168276))
-                                                  NIL))
-                                               (NREVERSE0 G168268))
-                                               (SEQ
-                                                (EXIT
-                                                 (COND
-                                                   ((NULL
-                                                     (|intersection|
-                                                      |d| |vl|))
-                                                    (SETQ G168268
-                                                     (CONS |v|
-                                                      G168268)))))))))
-                                         (RETURN NIL)))
-                               (SPADLET |orderedVarList|
-                                        (APPEND |newl|
-                                         |orderedVarList|))
-                               (SPADLET |vl'|
-                                        (SETDIFFERENCE |vl| |newl|))
-                               (SPADLET |dl'|
-                                        (PROG (G168291)
-                                          (SPADLET G168291 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((G168298 |vl|
-                                               (CDR G168298))
-                                              (|x| NIL)
-                                              (G168299 |dl|
-                                               (CDR G168299))
-                                              (|d| NIL))
-                                             ((OR (ATOM G168298)
-                                               (PROGN
-                                                 (SETQ |x|
-                                                  (CAR G168298))
-                                                 NIL)
-                                               (ATOM G168299)
-                                               (PROGN
-                                                 (SETQ |d|
-                                                  (CAR G168299))
-                                                 NIL))
-                                              (NREVERSE0 G168291))
-                                              (SEQ
-                                               (EXIT
-                                                (COND
-                                                  ((|member| |x| |vl'|)
-                                                   (SETQ G168291
-                                                    (CONS
-                                                     (SETDIFFERENCE |d|
-                                                      |newl|)
-                                                     G168291))))))))))
-                               (SPADLET |vl| |vl'|)
-                               (SPADLET |dl| |dl'|)))))
-                (REMDUP (NREVERSE |orderedVarList|)))))))))
-
-;compInternalFunction(df is ['DEF,form,signature,specialCases,body],m,e) ==
-;  -- $insideExpressionIfTrue:=false
-;  [op,:argl]:=form
-;  not(IDENTP(op)) =>
-;    stackAndThrow ["Bad name for internal function:",op]
-;  #argl=0 =>
-;    stackAndThrow ["Argumentless internal functions unsupported:",op]
-;    --nf:=["where",["LET",[":",op,["Mapping",:signature]],nbody],_
-;    --     :whereList1,:whereList2]
-;  nbody:=["+->",argl,body]
-;  nf:=["LET",[":",op,["Mapping",:signature]],nbody]
-;  ress:=comp(nf,m,e)
-;  ress
-
-(DEFUN |compInternalFunction| (|df| |m| |e|)
-  (PROG (|form| |signature| |specialCases| |body| |op| |argl| |nbody|
-                |nf| |ress|)
-    (RETURN
-      (PROGN
-        (SPADLET |form| (CADR |df|))
-        (SPADLET |signature| (CADDR |df|))
-        (SPADLET |specialCases| (CADDDR |df|))
-        (SPADLET |body| (CAR (CDDDDR |df|)))
-        (SPADLET |op| (CAR |form|))
-        (SPADLET |argl| (CDR |form|))
-        (COND
-          ((NULL (IDENTP |op|))
-           (|stackAndThrow|
-               (CONS '|Bad name for internal function:|
-                     (CONS |op| NIL))))
-          ((EQL (|#| |argl|) 0)
-           (|stackAndThrow|
-               (CONS '|Argumentless internal functions unsupported:|
-                     (CONS |op| NIL))))
-          ('T
-           (SPADLET |nbody|
-                    (CONS '+-> (CONS |argl| (CONS |body| NIL))))
-           (SPADLET |nf|
-                    (CONS 'LET
-                          (CONS (CONS '|:|
-                                      (CONS |op|
-                                       (CONS
-                                        (CONS '|Mapping| |signature|)
-                                        NIL)))
-                                (CONS |nbody| NIL))))
-           (SPADLET |ress| (|comp| |nf| |m| |e|)) |ress|))))))
-
-;compDefineCapsuleFunction(df is ['DEF,form,signature,specialCases,body],
-;  m,oldE,$prefix,$formalArgList) ==
-;    [lineNumber,:specialCases] := specialCases
-;    e := oldE
-;    --1. bind global variables
-;    $form: local := nil
-;    $op: local := nil
-;    $functionStats: local:= [0,0]
-;    $argumentConditionList: local := nil
-;    $finalEnv: local := nil
-;             --used by ReplaceExitEtc to get a common environment
-;    $initCapsuleErrorCount: local:= #$semanticErrorStack
-;    $insideCapsuleFunctionIfTrue: local:= true
-;    $CapsuleModemapFrame: local:= e
-;    $CapsuleDomainsInScope: local:= get("$DomainsInScope","special",e)
-;    $insideExpressionIfTrue: local:= true
-;    $returnMode:= m
-;    [$op,:argl]:= form
-;    $form:= [$op,:argl]
-;    argl:= stripOffArgumentConditions argl
-;    $formalArgList:= [:argl,:$formalArgList]
-;
-;    --let target and local signatures help determine modes of arguments
-;    argModeList:=
-;      identSig:= hasSigInTargetCategory(argl,form,first signature,e) =>
-;        (e:= checkAndDeclare(argl,form,identSig,e); rest identSig)
-;      [getArgumentModeOrMoan(a,form,e) for a in argl]
-;    argModeList:= stripOffSubdomainConditions(argModeList,argl)
-;    signature':= [first signature,:argModeList]
-;    if null identSig then  --make $op a local function
-;      oldE := put($op,'mode,['Mapping,:signature'],oldE)
-;
-;    --obtain target type if not given
-;    if null first signature' then signature':=
-;      identSig => identSig
-;      getSignature($op,rest signature',e) or return nil
-;    e:= giveFormalParametersValues(argl,e)
-;
-;    $signatureOfForm:= signature' --this global is bound in compCapsuleItems
-;    $functionLocations := [[[$op,$signatureOfForm],:lineNumber],
-;      :$functionLocations]
-;    e:= addDomain(first signature',e)
-;    e:= compArgumentConditions e
-;
-;    if $profileCompiler then
-;      for x in argl for t in rest signature' repeat profileRecord('arguments,x,t)
-;    --4. introduce needed domains into extendedEnv
-;    for domain in signature' repeat e:= addDomain(domain,e)
-;
-;    --6. compile body in environment with extended environment
-;    rettype:= resolve(signature'.target,$returnMode)
-;
-;    localOrExported :=
-;      null MEMBER($op,$formalArgList) and
-;        getmode($op,e) is ['Mapping,:.] => 'local
-;      'exported
-;
-;    --6a skip if compiling only certain items but not this one
-;    -- could be moved closer to the top
-;    formattedSig := formatUnabbreviated ['Mapping,:signature']
-;    $compileOnlyCertainItems and _
-;      not MEMBER($op, $compileOnlyCertainItems) =>
-;        sayBrightly ['"   skipping ", localOrExported,:bright $op]
-;        [nil,['Mapping,:signature'],oldE]
-;    sayBrightly ['"   compiling ",localOrExported,
-;      :bright $op,'": ",:formattedSig]
-;
-;    if $newComp = true then
-;      wholeBody := ['DEF, form, signature', specialCases, body]
-;      T := CATCH('compCapsuleBody, newComp(wholeBody,$NoValueMode,e))
-;           or ["",rettype,e]
-;      T := [T.expr.2.2, rettype, T.env]
-;      if $newCompCompare=true then
-;         oldT := CATCH('compCapsuleBody, compOrCroak(body,rettype,e))
-;              or ["",rettype,e]
-;         SAY '"The old compiler generates:"
-;         prTriple oldT
-;         SAY '"The new compiler generates:"
-;         prTriple T
-;    else
-;      T := CATCH('compCapsuleBody, compOrCroak(body,rettype,e))
-;           or ["",rettype,e]
-;--+
-;      NRTassignCapsuleFunctionSlot($op,signature')
-;      if $newCompCompare=true then
-;         SAY '"The old compiler generates:"
-;         prTriple T
-;--  A THROW to the above CATCH occurs if too many semantic errors occur
-;--  see stackSemanticError
-;    catchTag:= MKQ GENSYM()
-;    fun:=
-;      body':= replaceExitEtc(T.expr,catchTag,"TAGGEDreturn",$returnMode)
-;      body':= addArgumentConditions(body',$op)
-;      finalBody:= ["CATCH",catchTag,body']
-;      compileCases([$op,["LAM",[:argl,'_$],finalBody]],oldE)
-;    $functorStats:= addStats($functorStats,$functionStats)
-;
-;
-;--  7. give operator a 'value property
-;    val:= [fun,signature',e]
-;    [fun,['Mapping,:signature'],oldE] -- oldE:= put($op,'value,removeEnv val,e)
-
-(DEFUN |compDefineCapsuleFunction|
-       (|df| |m| |oldE| |$prefix| |$formalArgList|)
-  (DECLARE (SPECIAL |$prefix| |$formalArgList|))
-  (PROG (|$form| |$op| |$functionStats| |$argumentConditionList|
-                 |$finalEnv| |$initCapsuleErrorCount|
-                 |$insideCapsuleFunctionIfTrue| |$CapsuleModemapFrame|
-                 |$CapsuleDomainsInScope| |$insideExpressionIfTrue|
-                 |form| |signature| |body| |LETTMP#1| |lineNumber|
-                 |specialCases| |argl| |identSig| |argModeList|
-                 |signature'| |e| |rettype| |ISTMP#1| |localOrExported|
-                 |formattedSig| |wholeBody| |oldT| T$ |catchTag|
-                 |body'| |finalBody| |fun| |val|)
-    (DECLARE (SPECIAL |$form| |$op| |$functionStats| |$functorStats| 
-                      |$argumentConditionList| |$finalEnv| |$returnMode|
-                      |$initCapsuleErrorCount| |$newCompCompare| |$NoValueMode|
-                      |$insideCapsuleFunctionIfTrue|
-                      |$CapsuleModemapFrame| |$CapsuleDomainsInScope|
-                      |$insideExpressionIfTrue| |$compileOnlyCertainItems|
-                      |$profileCompiler| |$functionLocations| |$finalEnv|
-                      |$signatureOfForm| |$semanticErrorStack|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |form| (CADR |df|))
-             (SPADLET |signature| (CADDR |df|))
-             (SPADLET |specialCases| (CADDDR |df|))
-             (SPADLET |body| (CAR (CDDDDR |df|)))
-             (SPADLET |LETTMP#1| |specialCases|)
-             (SPADLET |lineNumber| (CAR |LETTMP#1|))
-             (SPADLET |specialCases| (CDR |LETTMP#1|))
-             (SPADLET |e| |oldE|)
-             (SPADLET |$form| NIL)
-             (SPADLET |$op| NIL)
-             (SPADLET |$functionStats| (CONS 0 (CONS 0 NIL)))
-             (SPADLET |$argumentConditionList| NIL)
-             (SPADLET |$finalEnv| NIL)
-             (SPADLET |$initCapsuleErrorCount|
-                      (|#| |$semanticErrorStack|))
-             (SPADLET |$insideCapsuleFunctionIfTrue| 'T)
-             (SPADLET |$CapsuleModemapFrame| |e|)
-             (SPADLET |$CapsuleDomainsInScope|
-                      (|get| '|$DomainsInScope| 'special |e|))
-             (SPADLET |$insideExpressionIfTrue| 'T)
-             (SPADLET |$returnMode| |m|)
-             (SPADLET |$op| (CAR |form|))
-             (SPADLET |argl| (CDR |form|))
-             (SPADLET |$form| (CONS |$op| |argl|))
-             (SPADLET |argl| (|stripOffArgumentConditions| |argl|))
-             (SPADLET |$formalArgList|
-                      (APPEND |argl| |$formalArgList|))
-             (SPADLET |argModeList|
-                      (COND
-                        ((SPADLET |identSig|
-                                  (|hasSigInTargetCategory| |argl|
-                                      |form| (CAR |signature|) |e|))
-                         (SPADLET |e|
-                                  (|checkAndDeclare| |argl| |form|
-                                      |identSig| |e|))
-                         (CDR |identSig|))
-                        ('T
-                         (PROG (G168401)
-                           (SPADLET G168401 NIL)
-                           (RETURN
-                             (DO ((G168406 |argl| (CDR G168406))
-                                  (|a| NIL))
-                                 ((OR (ATOM G168406)
-                                      (PROGN
-                                        (SETQ |a| (CAR G168406))
-                                        NIL))
-                                  (NREVERSE0 G168401))
-                               (SEQ (EXIT
-                                     (SETQ G168401
-                                      (CONS
-                                       (|getArgumentModeOrMoan| |a|
-                                        |form| |e|)
-                                       G168401))))))))))
-             (SPADLET |argModeList|
-                      (|stripOffSubdomainConditions| |argModeList|
-                          |argl|))
-             (SPADLET |signature'|
-                      (CONS (CAR |signature|) |argModeList|))
-             (COND
-               ((NULL |identSig|)
-                (SPADLET |oldE|
-                         (|put| |$op| '|mode|
-                                (CONS '|Mapping| |signature'|) |oldE|))))
-             (COND
-               ((NULL (CAR |signature'|))
-                (SPADLET |signature'|
-                         (COND
-                           (|identSig| |identSig|)
-                           ('T
-                            (OR (|getSignature| |$op|
-                                    (CDR |signature'|) |e|)
-                                (RETURN NIL)))))))
-             (SPADLET |e| (|giveFormalParametersValues| |argl| |e|))
-             (SPADLET |$signatureOfForm| |signature'|)
-             (SPADLET |$functionLocations|
-                      (CONS (CONS (CONS |$op|
-                                        (CONS |$signatureOfForm| NIL))
-                                  |lineNumber|)
-                            |$functionLocations|))
-             (SPADLET |e| (|addDomain| (CAR |signature'|) |e|))
-             (SPADLET |e| (|compArgumentConditions| |e|))
-             (COND
-               (|$profileCompiler|
-                   (DO ((G168416 |argl| (CDR G168416)) (|x| NIL)
-                        (G168417 (CDR |signature'|) (CDR G168417))
-                        (|t| NIL))
-                       ((OR (ATOM G168416)
-                            (PROGN (SETQ |x| (CAR G168416)) NIL)
-                            (ATOM G168417)
-                            (PROGN (SETQ |t| (CAR G168417)) NIL))
-                        NIL)
-                     (SEQ (EXIT (|profileRecord| '|arguments| |x| |t|))))))
-             (DO ((G168429 |signature'| (CDR G168429))
-                  (|domain| NIL))
-                 ((OR (ATOM G168429)
-                      (PROGN (SETQ |domain| (CAR G168429)) NIL))
-                  NIL)
-               (SEQ (EXIT (SPADLET |e| (|addDomain| |domain| |e|)))))
-             (SPADLET |rettype|
-                      (|resolve| (CAR |signature'|) |$returnMode|))
-             (SPADLET |localOrExported|
-                      (COND
-                        ((AND (NULL (|member| |$op| |$formalArgList|))
-                              (PROGN
-                                (SPADLET |ISTMP#1|
-                                         (|getmode| |$op| |e|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (EQ (QCAR |ISTMP#1|) '|Mapping|))))
-                         '|local|)
-                        ('T '|exported|)))
-             (SPADLET |formattedSig|
-                      (|formatUnabbreviated|
-                          (CONS '|Mapping| |signature'|)))
-             (COND
-               ((AND |$compileOnlyCertainItems|
-                     (NULL (|member| |$op| |$compileOnlyCertainItems|)))
-                (|sayBrightly|
-                    (CONS "   skipping "
-                          (CONS |localOrExported| (|bright| |$op|))))
-                (CONS NIL
-                      (CONS (CONS '|Mapping| |signature'|)
-                            (CONS |oldE| NIL))))
-               ('T
-                (|sayBrightly|
-                    (CONS "   compiling "
-                          (CONS |localOrExported|
-                                (APPEND (|bright| |$op|)
-                                        (CONS ": "
-                                         |formattedSig|)))))
-                (SPADLET T$
-                            (OR (CATCH '|compCapsuleBody|
-                                  (|compOrCroak| |body| |rettype| |e|))
-                                (CONS (INTERN "" "BOOT")
-                                      (CONS |rettype| (CONS |e| NIL)))))
-                (|NRTassignCapsuleFunctionSlot| |$op| |signature'|)
-                (SPADLET |catchTag| (MKQ (GENSYM)))
-                (SPADLET |fun|
-                         (PROGN
-                           (SPADLET |body'|
-                                    (|replaceExitEtc| (CAR T$)
-                                     |catchTag| '|TAGGEDreturn|
-                                     |$returnMode|))
-                           (SPADLET |body'|
-                                    (|addArgumentConditions| |body'|
-                                     |$op|))
-                           (SPADLET |finalBody|
-                                    (CONS 'CATCH
-                                     (CONS |catchTag|
-                                      (CONS |body'| NIL))))
-                           (|compileCases|
-                               (CONS |$op|
-                                     (CONS
-                                      (CONS 'LAM
-                                       (CONS
-                                        (APPEND |argl| (CONS '$ NIL))
-                                        (CONS |finalBody| NIL)))
-                                      NIL))
-                               |oldE|)))
-                (SPADLET |$functorStats|
-                         (|addStats| |$functorStats| |$functionStats|))
-                (SPADLET |val|
-                         (CONS |fun|
-                               (CONS |signature'| (CONS |e| NIL))))
-                (CONS |fun|
-                      (CONS (CONS '|Mapping| |signature'|)
-                            (CONS |oldE| NIL))))))))))
-
-;getSignatureFromMode(form,e) ==
-;  getmode(opOf form,e) is ['Mapping,:signature] =>
-;    #form^=#signature => stackAndThrow ["Wrong number of arguments: ",form]
-;    EQSUBSTLIST(rest form,take(#rest form,$FormalMapVariableList),signature)
-
-(DEFUN |getSignatureFromMode| (|form| |e|)
-  (PROG (|ISTMP#1| |signature|)
-  (declare (special |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (COND
-             ((PROGN
-                (SPADLET |ISTMP#1| (|getmode| (|opOf| |form|) |e|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                     (PROGN (SPADLET |signature| (QCDR |ISTMP#1|)) 'T)))
-              (EXIT (COND
-                      ((NEQUAL (|#| |form|) (|#| |signature|))
-                       (|stackAndThrow|
-                           (CONS '|Wrong number of arguments: |
-                                 (CONS |form| NIL))))
-                      ('T
-                       (EQSUBSTLIST (CDR |form|)
-                           (TAKE (|#| (CDR |form|))
-                                 |$FormalMapVariableList|)
-                           |signature|))))))))))
-
-;hasSigInTargetCategory(argl,form,opsig,e) ==
-;  mList:= [getArgumentMode(x,e) for x in argl]
-;    --each element is a declared mode for the variable or nil if none exists
-;  potentialSigList:=
-;    REMDUP
-;      [sig
-;        for [[opName,sig,:.],:.] in $domainShell.(1) |
-;          fn(opName,sig,opsig,mList,form)] where
-;            fn(opName,sig,opsig,mList,form) ==
-;              opName=$op and #sig=#form and (null opsig or opsig=first sig) and
-;                (and/[compareMode2Arg(x,m) for x in mList for m in rest sig])
-;  c:= #potentialSigList
-;  1=c => first potentialSigList
-;    --accept only those signatures op right length which match declared modes
-;  0=c => (#(sig:= getSignatureFromMode(form,e))=#form => sig; nil)
-;  1
-;    sig:= first potentialSigList
-;    stackWarning ["signature of lhs not unique:",:bright sig,"chosen"]
-;    sig
-;  nil --this branch will force all arguments to be declared
-
-(DEFUN |hasSigInTargetCategory,fn| (|opName| |sig| |opsig| |mList| |form|)
-  (PROG ()
-  (declare (special |$op|))
-    (RETURN
-      (SEQ (AND (AND (AND (BOOT-EQUAL |opName| |$op|)
-                          (BOOT-EQUAL (|#| |sig|) (|#| |form|)))
-                     (OR (NULL |opsig|)
-                         (BOOT-EQUAL |opsig| (CAR |sig|))))
-                (PROG (G168523)
-                  (SPADLET G168523 'T)
-                  (RETURN
-                    (DO ((G168530 NIL (NULL G168523))
-                         (G168531 |mList| (CDR G168531)) (|x| NIL)
-                         (G168532 (CDR |sig|) (CDR G168532))
-                         (|m| NIL))
-                        ((OR G168530 (ATOM G168531)
-                             (PROGN (SETQ |x| (CAR G168531)) NIL)
-                             (ATOM G168532)
-                             (PROGN (SETQ |m| (CAR G168532)) NIL))
-                         G168523)
-                      (SEQ (EXIT (SETQ G168523
-                                       (AND G168523
-                                        (|compareMode2Arg| |x| |m|)))))))))))))
-
-(DEFUN |hasSigInTargetCategory| (|argl| |form| |opsig| |e|)
-  (PROG (|mList| |opName| |potentialSigList| |c| |sig|)
-  (declare (special |$domainShell|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |mList|
-                      (PROG (G168561)
-                        (SPADLET G168561 NIL)
-                        (RETURN
-                          (DO ((G168566 |argl| (CDR G168566))
-                               (|x| NIL))
-                              ((OR (ATOM G168566)
-                                   (PROGN
-                                     (SETQ |x| (CAR G168566))
-                                     NIL))
-                               (NREVERSE0 G168561))
-                            (SEQ (EXIT (SETQ G168561
-                                        (CONS
-                                         (|getArgumentMode| |x| |e|)
-                                         G168561))))))))
-             (SPADLET |potentialSigList|
-                      (REMDUP (PROG (G168578)
-                                (SPADLET G168578 NIL)
-                                (RETURN
-                                  (DO ((G168585
-                                        (ELT |$domainShell| 1)
-                                        (CDR G168585))
-                                       (G168546 NIL))
-                                      ((OR (ATOM G168585)
-                                        (PROGN
-                                          (SETQ G168546
-                                           (CAR G168585))
-                                          NIL)
-                                        (PROGN
-                                          (PROGN
-                                            (SPADLET |opName|
-                                             (CAAR G168546))
-                                            (SPADLET |sig|
-                                             (CADAR G168546))
-                                            G168546)
-                                          NIL))
-                                       (NREVERSE0 G168578))
-                                    (SEQ
-                                     (EXIT
-                                      (COND
-                                        ((|hasSigInTargetCategory,fn|
-                                          |opName| |sig| |opsig|
-                                          |mList| |form|)
-                                         (SETQ G168578
-                                          (CONS |sig| G168578)))))))))))
-             (SPADLET |c| (|#| |potentialSigList|))
-             (COND
-               ((EQL 1 |c|) (CAR |potentialSigList|))
-               ((EQL 0 |c|)
-                (COND
-                  ((BOOT-EQUAL
-                       (|#| (SPADLET |sig|
-                                     (|getSignatureFromMode| |form|
-                                      |e|)))
-                       (|#| |form|))
-                   |sig|)
-                  ('T NIL)))
-               ((> |c| 1) (SPADLET |sig| (CAR |potentialSigList|))
-                (|stackWarning|
-                    (CONS '|signature of lhs not unique:|
-                          (APPEND (|bright| |sig|)
-                                  (CONS '|chosen| NIL))))
-                |sig|)
-               ('T NIL)))))))
-
-;compareMode2Arg(x,m) == null x or modeEqual(x,m)
-
-(DEFUN |compareMode2Arg| (|x| |m|)
-  (OR (NULL |x|) (|modeEqual| |x| |m|)))
-
-;getArgumentModeOrMoan(x,form,e) ==
-;  getArgumentMode(x,e) or
-;    stackSemanticError(["argument ",x," of ",form," is not declared"],nil)
-
-(DEFUN |getArgumentModeOrMoan| (|x| |form| |e|)
-  (OR (|getArgumentMode| |x| |e|)
-      (|stackSemanticError|
-          (CONS '|argument |
-                (CONS |x|
-                      (CONS '| of |
-                            (CONS |form|
-                                  (CONS '| is not declared| NIL)))))
-          NIL)))
-
-;getArgumentMode(x,e) ==
-;  STRINGP x => x
-;  m:= get(x,'mode,e) => m
-
-(DEFUN |getArgumentMode| (|x| |e|)
-  (PROG (|m|)
-    (RETURN
-      (COND
-        ((STRINGP |x|) |x|)
-        ((SPADLET |m| (|get| |x| '|mode| |e|)) |m|)))))
-
-;checkAndDeclare(argl,form,sig,e) ==
-;
-;-- arguments with declared types must agree with those in sig;
-;-- those that don't get declarations put into e
-;  for a in argl for m in rest sig repeat
-;    m1:= getArgumentMode(a,e) =>
-;      ^modeEqual(m1,m) =>
-;        stack:= ["   ",:bright a,'"must have type ",m,
-;          '" not ",m1,'%l,:stack]
-;    e:= put(a,'mode,m,e)
-;  if stack then
-;    sayBrightly ['"   Parameters of ",:bright first form,
-;      '" are of wrong type:",'%l,:stack]
-;  e
-
-(DEFUN |checkAndDeclare| (|argl| |form| |sig| |e|)
-  (PROG (|m1| |stack|)
-    (RETURN
-      (SEQ (PROGN
-             (DO ((G168621 |argl| (CDR G168621)) (|a| NIL)
-                  (G168622 (CDR |sig|) (CDR G168622)) (|m| NIL))
-                 ((OR (ATOM G168621)
-                      (PROGN (SETQ |a| (CAR G168621)) NIL)
-                      (ATOM G168622)
-                      (PROGN (SETQ |m| (CAR G168622)) NIL))
-                  NIL)
-               (SEQ (COND
-                      ((SPADLET |m1| (|getArgumentMode| |a| |e|))
-                       (COND
-                         ((NULL (|modeEqual| |m1| |m|))
-                          (EXIT (SPADLET |stack|
-                                         (CONS '|   |
-                                          (APPEND (|bright| |a|)
-                                           (CONS
-                                                                                         "must have type "
-                                            (CONS |m|
-                                             (CONS " not "
-                                              (CONS |m1|
-                                               (CONS '|%l| |stack|))))))))))))
-                      ('T (SPADLET |e| (|put| |a| '|mode| |m| |e|))))))
-             (COND
-               (|stack| (|sayBrightly|
-                            (CONS "   Parameters of "
-                                  (APPEND (|bright| (CAR |form|))
-                                          (CONS
-                                                                                       " are of wrong type:"
-                                           (CONS '|%l| |stack|)))))))
-             |e|)))))
-
-;getSignature(op,argModeList,$e) ==
-;  --tpd mmList:= get(op,'modemap,$e)
-;  --tpd for [[dc,:sig],:.] in mmList repeat printSignature("     ",op,sig)
-;  1=#
-;    (sigl:=
-;      REMDUP
-;        [sig
-;          for [[dc,:sig],[pred,:.]] in (mmList:= get(op,'modemap,$e)) | dc='_$
-;            and rest sig=argModeList and knownInfo pred]) => first sigl
-;  null sigl =>
-;    (u:= getmode(op,$e)) is ['Mapping,:sig] => sig
-;    SAY '"************* USER ERROR **********"
-;    SAY("available signatures for ",op,": ")
-;    if null mmList
-;       then SAY "    NONE"
-;       else for [[dc,:sig],:.] in mmList repeat printSignature("     ",op,sig)
-;    printSignature("NEED ",op,["?",:argModeList])
-;    nil
-;  for u in sigl repeat
-;    for v in sigl | not (u=v) repeat
-;      if SourceLevelSubsume(u,v) then sigl:= DELETE(v,sigl)
-;              --before we complain about duplicate signatures, we should
-;              --check that we do not have for example, a partial - as
-;              --well as a total one.  SourceLevelSubsume (from CATEGORY BOOT)
-;              --should do this
-;  1=#sigl => first sigl
-;  stackSemanticError(["duplicate signatures for ",op,": ",argModeList],nil)
-
-(DEFUN |getSignature| (|op| |argModeList| |$e|)
-  (DECLARE (SPECIAL |$e|))
-  (PROG (|mmList| |pred| |u| |ISTMP#1| |dc| |sig| |sigl|)
-    (RETURN
-      (SEQ (COND
-             ((EQL 1
-                   (|#| (SPADLET |sigl|
-                                 (REMDUP (PROG (G168658)
-                                           (SPADLET G168658 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G168665
-                                                (SPADLET |mmList|
-                                                 (|get| |op| '|modemap|
-                                                  |$e|))
-                                                (CDR G168665))
-                                               (G168637 NIL))
-                                              ((OR (ATOM G168665)
-                                                (PROGN
-                                                  (SETQ G168637
-                                                   (CAR G168665))
-                                                  NIL)
-                                                (PROGN
-                                                  (PROGN
-                                                    (SPADLET |dc|
-                                                     (CAAR G168637))
-                                                    (SPADLET |sig|
-                                                     (CDAR G168637))
-                                                    (SPADLET |pred|
-                                                     (CAADR G168637))
-                                                    G168637)
-                                                  NIL))
-                                               (NREVERSE0 G168658))
-                                               (SEQ
-                                                (EXIT
-                                                 (COND
-                                                   ((AND
-                                                     (BOOT-EQUAL |dc|
-                                                      '$)
-                                                     (BOOT-EQUAL
-                                                      (CDR |sig|)
-                                                      |argModeList|)
-                                                     (|knownInfo|
-                                                      |pred|))
-                                                    (SETQ G168658
-                                                     (CONS |sig|
-                                                      G168658)))))))))))))
-              (CAR |sigl|))
-             ((NULL |sigl|)
-              (COND
-                ((PROGN
-                   (SPADLET |ISTMP#1|
-                            (SPADLET |u| (|getmode| |op| |$e|)))
-                   (AND (PAIRP |ISTMP#1|)
-                        (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                        (PROGN (SPADLET |sig| (QCDR |ISTMP#1|)) 'T)))
-                 |sig|)
-                ('T
-                 (SAY                           "************* USER ERROR **********")
-                 (SAY "available signatures for " |op|
-                      ": ")
-                 (COND
-                   ((NULL |mmList|) (SAY "    NONE"))
-                   ('T
-                    (DO ((G168676 |mmList| (CDR G168676))
-                         (G168646 NIL))
-                        ((OR (ATOM G168676)
-                             (PROGN
-                               (SETQ G168646 (CAR G168676))
-                               NIL)
-                             (PROGN
-                               (PROGN
-                                 (SPADLET |dc| (CAAR G168646))
-                                 (SPADLET |sig| (CDAR G168646))
-                                 G168646)
-                               NIL))
-                         NIL)
-                      (SEQ (EXIT (|printSignature| '|     | |op| |sig|))))))
-                 (|printSignature| '|NEED | |op|
-                     (CONS '? |argModeList|))
-                 NIL)))
-             ('T
-              (DO ((G168686 |sigl| (CDR G168686)) (|u| NIL))
-                  ((OR (ATOM G168686)
-                       (PROGN (SETQ |u| (CAR G168686)) NIL))
-                   NIL)
-                (SEQ (EXIT (DO ((G168696 |sigl| (CDR G168696))
-                                (|v| NIL))
-                               ((OR (ATOM G168696)
-                                    (PROGN
-                                      (SETQ |v| (CAR G168696))
-                                      NIL))
-                                NIL)
-                             (SEQ (EXIT (COND
-                                          ((NULL (BOOT-EQUAL |u| |v|))
-                                           (COND
-                                             ((|SourceLevelSubsume| |u|
-                                               |v|)
-                                              (SPADLET |sigl|
-                                               (|delete| |v| |sigl|)))
-                                             ('T NIL))))))))))
-              (COND
-                ((EQL 1 (|#| |sigl|)) (CAR |sigl|))
-                ('T
-                 (|stackSemanticError|
-                     (CONS '|duplicate signatures for |
-                           (CONS |op|
-                                 (CONS '|: | (CONS |argModeList| NIL))))
-                     NIL)))))))))
-
-;--% ARGUMENT CONDITION CODE
-;
-;stripOffArgumentConditions argl ==
-;  [f for x in argl for i in 1..] where
-;    f() ==
-;      x is ["|",arg,condition] =>
-;        condition:= SUBST('_#1,arg,condition)
-;        -- in case conditions are given in terms of argument names, replace
-;        $argumentConditionList:= [[i,arg,condition],:$argumentConditionList]
-;        arg
-;      x
-
-(DEFUN |stripOffArgumentConditions| (|argl|)
-  (PROG (|ISTMP#1| |arg| |ISTMP#2| |condition|)
-  (declare (special |$argumentConditionList|))
-    (RETURN
-      (SEQ (PROG (G168756)
-             (SPADLET G168756 NIL)
-             (RETURN
-               (DO ((G168769 |argl| (CDR G168769)) (|x| NIL)
-                    (|i| 1 (QSADD1 |i|)))
-                   ((OR (ATOM G168769)
-                        (PROGN (SETQ |x| (CAR G168769)) NIL))
-                    (NREVERSE0 G168756))
-                 (SEQ (EXIT (SETQ G168756
-                                  (CONS (COND
-                                          ((AND (PAIRP |x|)
-                                            (EQ (QCAR |x|) '|\||)
-                                            (PROGN
-                                              (SPADLET |ISTMP#1|
-                                               (QCDR |x|))
-                                              (AND (PAIRP |ISTMP#1|)
-                                               (PROGN
-                                                 (SPADLET |arg|
-                                                  (QCAR |ISTMP#1|))
-                                                 (SPADLET |ISTMP#2|
-                                                  (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
-                                                  (EQ (QCDR |ISTMP#2|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET
-                                                     |condition|
-                                                     (QCAR |ISTMP#2|))
-                                                    'T))))))
-                                           (SPADLET |condition|
-                                            (MSUBST '|#1| |arg|
-                                             |condition|))
-                                           (SPADLET
-                                            |$argumentConditionList|
-                                            (CONS
-                                             (CONS |i|
-                                              (CONS |arg|
-                                               (CONS |condition| NIL)))
-                                             |$argumentConditionList|))
-                                           |arg|)
-                                          ('T |x|))
-                                        G168756)))))))))))
-
-;stripOffSubdomainConditions(margl,argl) ==
-;  [f for x in margl for arg in argl for i in 1..] where
-;    f ==
-;      x is ['SubDomain,marg,condition] =>
-;        pair:= ASSOC(i,$argumentConditionList) =>
-;          (RPLAC(CADR pair,MKPF([condition,CADR pair],'AND)); marg)
-;        $argumentConditionList:= [[i,arg,condition],:$argumentConditionList]
-;        marg
-;      x
-
-(DEFUN |stripOffSubdomainConditions| (|margl| |argl|)
-  (PROG (|ISTMP#1| |marg| |ISTMP#2| |condition| |pair|)
-  (declare (special |$argumentConditionList|))
-    (RETURN
-      (SEQ (PROG (G168825)
-             (SPADLET G168825 NIL)
-             (RETURN
-               (DO ((G168839 |margl| (CDR G168839)) (|x| NIL)
-                    (G168840 |argl| (CDR G168840)) (|arg| NIL)
-                    (|i| 1 (QSADD1 |i|)))
-                   ((OR (ATOM G168839)
-                        (PROGN (SETQ |x| (CAR G168839)) NIL)
-                        (ATOM G168840)
-                        (PROGN (SETQ |arg| (CAR G168840)) NIL))
-                    (NREVERSE0 G168825))
-                 (SEQ (EXIT (SETQ G168825
-                                  (CONS (COND
-                                          ((AND (PAIRP |x|)
-                                            (EQ (QCAR |x|)
-                                             '|SubDomain|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#1|
-                                               (QCDR |x|))
-                                              (AND (PAIRP |ISTMP#1|)
-                                               (PROGN
-                                                 (SPADLET |marg|
-                                                  (QCAR |ISTMP#1|))
-                                                 (SPADLET |ISTMP#2|
-                                                  (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
-                                                  (EQ (QCDR |ISTMP#2|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET
-                                                     |condition|
-                                                     (QCAR |ISTMP#2|))
-                                                    'T))))))
-                                           (COND
-                                             ((SPADLET |pair|
-                                               (|assoc| |i|
-                                                |$argumentConditionList|))
-                                              (RPLAC (CADR |pair|)
-                                               (MKPF
-                                                (CONS |condition|
-                                                 (CONS (CADR |pair|)
-                                                  NIL))
-                                                'AND))
-                                              |marg|)
-                                             ('T
-                                              (SPADLET
-                                               |$argumentConditionList|
-                                               (CONS
-                                                (CONS |i|
-                                                 (CONS |arg|
-                                                  (CONS |condition|
-                                                   NIL)))
-                                                |$argumentConditionList|))
-                                              |marg|)))
-                                          ('T |x|))
-                                        G168825)))))))))))
-
-;compArgumentConditions e ==
-;  $argumentConditionList:=
-;    [f for [n,a,x] in $argumentConditionList] where
-;      f ==
-;        y:= SUBST(a,'_#1,x)
-;        T := [.,.,e]:= compOrCroak(y,$Boolean,e)
-;        [n,x,T.expr]
-;  e
-
-(DEFUN |compArgumentConditions| (|e|)
-  (PROG (|n| |a| |x| |y| |LETTMP#1| T$)
-  (declare (special |$Boolean| |$argumentConditionList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$argumentConditionList|
-                      (PROG (G168890)
-                        (SPADLET G168890 NIL)
-                        (RETURN
-                          (DO ((G168902 |$argumentConditionList|
-                                   (CDR G168902))
-                               (G168865 NIL))
-                              ((OR (ATOM G168902)
-                                   (PROGN
-                                     (SETQ G168865 (CAR G168902))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |n| (CAR G168865))
-                                       (SPADLET |a| (CADR G168865))
-                                       (SPADLET |x| (CADDR G168865))
-                                       G168865)
-                                     NIL))
-                               (NREVERSE0 G168890))
-                            (SEQ (EXIT (SETQ G168890
-                                        (CONS
-                                         (PROGN
-                                           (SPADLET |y|
-                                            (MSUBST |a| '|#1| |x|))
-                                           (SPADLET T$
-                                            (PROGN
-                                              (SPADLET |LETTMP#1|
-                                               (|compOrCroak| |y|
-                                                |$Boolean| |e|))
-                                              (SPADLET |e|
-                                               (CADDR |LETTMP#1|))
-                                              |LETTMP#1|))
-                                           (CONS |n|
-                                            (CONS |x|
-                                             (CONS (CAR T$) NIL))))
-                                         G168890))))))))
-             |e|)))))
-
-;addArgumentConditions($body,$functionName) ==
-;  $argumentConditionList =>
-;               --$body is only used in this function
-;    fn $argumentConditionList where
-;      fn clist ==
-;        clist is [[n,untypedCondition,typedCondition],:.] =>
-;          ['COND,[typedCondition,fn rest clist],
-;            [$true,["argumentDataError",n,
-;              MKQ untypedCondition,MKQ $functionName]]]
-;        null clist => $body
-;        systemErrorHere '"addArgumentConditions"
-;  $body
-
-(DEFUN |addArgumentConditions,fn| (|clist|)
-  (PROG (|ISTMP#1| |n| |ISTMP#2| |untypedCondition| |ISTMP#3| |typedCondition|)
-  (declare (special |$body| |$functionName| |$true|))
-    (RETURN
-      (SEQ (IF (AND (PAIRP |clist|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCAR |clist|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |n| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (PROGN
-                                    (SPADLET |untypedCondition|
-                                     (QCAR |ISTMP#2|))
-                                    (SPADLET |ISTMP#3|
-                                     (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
-                                     (EQ (QCDR |ISTMP#3|) NIL)
-                                     (PROGN
-                                       (SPADLET |typedCondition|
-                                        (QCAR |ISTMP#3|))
-                                       'T))))))))
-               (EXIT (CONS 'COND
-                           (CONS (CONS |typedCondition|
-                                       (CONS
-                                        (|addArgumentConditions,fn|
-                                         (CDR |clist|))
-                                        NIL))
-                                 (CONS (CONS |$true|
-                                        (CONS
-                                         (CONS '|argumentDataError|
-                                          (CONS |n|
-                                           (CONS
-                                            (MKQ |untypedCondition|)
-                                            (CONS (MKQ |$functionName|)
-                                             NIL))))
-                                         NIL))
-                                       NIL)))))
-           (IF (NULL |clist|) (EXIT |$body|))
-           (EXIT (|systemErrorHere|
-                     "addArgumentConditions"))))))
-
-(DEFUN |addArgumentConditions| (|$body| |$functionName|)
-  (DECLARE (SPECIAL |$body| |$functionName| |$argumentConditionList|))
-  (COND
-    (|$argumentConditionList|
-        (|addArgumentConditions,fn| |$argumentConditionList|))
-    ('T |$body|)))
-
-;putInLocalDomainReferences (def := [opName,[lam,varl,body]]) ==
-;  $elt: local := ($QuickCode => 'QREFELT; 'ELT)
-;--+
-;  NRTputInTail CDDADR def
-;  def
-
-(DEFUN |putInLocalDomainReferences| (|def|)
-  (PROG (|$elt| |opName| |lam| |varl| |body|)
-    (DECLARE (SPECIAL |$elt| |$QuickCode|))
-    (RETURN
-      (PROGN
-        (SPADLET |opName| (CAR |def|))
-        (SPADLET |lam| (CAADR |def|))
-        (SPADLET |varl| (CADADR |def|))
-        (SPADLET |body| (CAR (CDDADR |def|)))
-        (SPADLET |$elt| (COND (|$QuickCode| 'QREFELT) ('T 'ELT)))
-        (|NRTputInTail| (CDDADR |def|))
-        |def|))))
-
-;canCacheLocalDomain(dom,elt)==
-;   dom is [op,'_$,n] and MEMQ(op,'(ELT QREFELT)) => nil
-;   domargsglobal(dom) =>
-;        $functorLocalParameters:= [:$functorLocalParameters,dom]
-;        PUSH([dom,GENVAR(),[elt,$selector,$funcLocLen]],$usedDomList)
-;        $selcount:= $selcount+1
-;        $funcLocLen:= $funcLocLen+1
-;   nil
-;  where
-;     domargsglobal(dom) ==
-;       dom='_$ => true
-;       IDENTP dom => MEMQ(dom,$functorLocalParameters)
-;       ATOM dom => true
-;       and/[domargsglobal(arg) for arg in rest dom]
-
-(DEFUN |canCacheLocalDomain,domargsglobal| (|dom|)
-  (PROG ()
-  (declare (special |$functorLocalParameters|))
-    (RETURN
-      (SEQ (IF (BOOT-EQUAL |dom| '$) (EXIT 'T))
-           (IF (IDENTP |dom|)
-               (EXIT (member |dom| |$functorLocalParameters|)))
-           (IF (ATOM |dom|) (EXIT 'T))
-           (EXIT (PROG (G168996)
-                   (SPADLET G168996 'T)
-                   (RETURN
-                     (DO ((G169002 NIL (NULL G168996))
-                          (G169003 (CDR |dom|) (CDR G169003))
-                          (|arg| NIL))
-                         ((OR G169002 (ATOM G169003)
-                              (PROGN (SETQ |arg| (CAR G169003)) NIL))
-                          G168996)
-                       (SEQ (EXIT (SETQ G168996
-                                        (AND G168996
-                                         (|canCacheLocalDomain,domargsglobal|
-                                          |arg|)))))))))))))
-
-(DEFUN |canCacheLocalDomain| (|dom| |elt|)
-  (PROG (|op| |ISTMP#1| |ISTMP#2| |n|)
-  (declare (special |$funcLocLen| |$selcount| |$usedDomList| |$selector|
-                    |$functorLocalParameters|))
-    (RETURN
-      (COND
-        ((AND (PAIRP |dom|)
-              (PROGN
-                (SPADLET |op| (QCAR |dom|))
-                (SPADLET |ISTMP#1| (QCDR |dom|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '$)
-                     (PROGN
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |n| (QCAR |ISTMP#2|)) 'T)))))
-              (member |op| '(ELT QREFELT)))
-         NIL)
-        ((|canCacheLocalDomain,domargsglobal| |dom|)
-         (SPADLET |$functorLocalParameters|
-                  (APPEND |$functorLocalParameters| (CONS |dom| NIL)))
-         (PUSH (CONS |dom|
-                     (CONS (GENVAR)
-                           (CONS (CONS |elt|
-                                       (CONS |$selector|
-                                        (CONS |$funcLocLen| NIL)))
-                                 NIL)))
-               |$usedDomList|)
-         (SPADLET |$selcount| (PLUS |$selcount| 1))
-         (SPADLET |$funcLocLen| (PLUS |$funcLocLen| 1)))
-        ('T NIL)))))
-
-;compileCases(x,$e) == -- $e is referenced in compile
-;  $specialCaseKeyList: local := nil
-;  not ($insideFunctorIfTrue=true) => compile x
-;  specialCaseAssoc:=
-;    [y for y in getSpecialCaseAssoc() | not get(first y,"specialCase",$e) and
-;          ([R,R']:= y) and isEltArgumentIn(FindNamesFor(R,R'),x)] where
-;        FindNamesFor(R,R') ==
-;          [R,:
-;            [v
-;              for ['LET,v,u,:.] in $getDomainCode | CADR u=R and
-;                eval substitute(R',R,u)]]
-;        isEltArgumentIn(Rlist,x) ==
-;          atom x => nil
-;          x is ['ELT,R,.] => MEMQ(R,Rlist) or isEltArgumentIn(Rlist,rest x)
-;          x is ["QREFELT",R,.] => MEMQ(R,Rlist) or isEltArgumentIn(Rlist,rest x)
-;          isEltArgumentIn(Rlist,first x) or isEltArgumentIn(Rlist,rest x)
-;  null specialCaseAssoc => compile x
-;  listOfDomains:= ASSOCLEFT specialCaseAssoc
-;  listOfAllCases:= outerProduct ASSOCRIGHT specialCaseAssoc
-;  cl:=
-;    [u for l in listOfAllCases] where
-;      u() ==
-;        $specialCaseKeyList:= [[D,:C] for D in listOfDomains for C in l]
-;        [MKPF([["EQUAL",D,C] for D in listOfDomains for C in l],"AND"),
-;          compile COPY x]
-;  $specialCaseKeyList:= nil
-;  ["COND",:cl,[$true,compile x]]
-
-(DEFUN |compileCases,isEltArgumentIn| (|Rlist| |x|)
-  (PROG (|ISTMP#1| R |ISTMP#2|)
-    (RETURN
-      (SEQ (IF (ATOM |x|) (EXIT NIL))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'ELT)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET R (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL))))))
-               (EXIT (OR (member R |Rlist|)
-                         (|compileCases,isEltArgumentIn| |Rlist|
-                             (CDR |x|)))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'QREFELT)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET R (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL))))))
-               (EXIT (OR (member R |Rlist|)
-                         (|compileCases,isEltArgumentIn| |Rlist|
-                             (CDR |x|)))))
-           (EXIT (OR (|compileCases,isEltArgumentIn| |Rlist| (CAR |x|))
-                     (|compileCases,isEltArgumentIn| |Rlist| (CDR |x|))))))))
-
-(DEFUN |compileCases,FindNamesFor| (R |R'|)
-  (PROG (|v| |u|)
-  (declare (special |$getDomainCode|))
-    (RETURN
-      (SEQ (CONS R
-                 (PROG (G169091)
-                   (SPADLET G169091 NIL)
-                   (RETURN
-                     (DO ((G169098 |$getDomainCode| (CDR G169098))
-                          (G169051 NIL))
-                         ((OR (ATOM G169098)
-                              (PROGN
-                                (SETQ G169051 (CAR G169098))
-                                NIL)
-                              (PROGN
-                                (PROGN
-                                  (SPADLET |v| (CADR G169051))
-                                  (SPADLET |u| (CADDR G169051))
-                                  G169051)
-                                NIL))
-                          (NREVERSE0 G169091))
-                       (SEQ (EXIT (COND
-                                    ((AND (BOOT-EQUAL (CADR |u|) R)
-                                      (|eval| (MSUBST |R'| R |u|)))
-                                     (SETQ G169091
-                                      (CONS |v| G169091))))))))))))))
-
-(DEFUN |compileCases| (|x| |$e|)
-  (DECLARE (SPECIAL |$e|))
-  (PROG (|$specialCaseKeyList| R |R'| |specialCaseAssoc|
-            |listOfDomains| |listOfAllCases| |cl|)
-    (DECLARE (SPECIAL |$specialCaseKeyList| |$true| |$insideFunctorIfTrue|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$specialCaseKeyList| NIL)
-             (COND
-               ((NULL (BOOT-EQUAL |$insideFunctorIfTrue| 'T))
-                (|compile| |x|))
-               ('T
-                (SPADLET |specialCaseAssoc|
-                         (PROG (G169126)
-                           (SPADLET G169126 NIL)
-                           (RETURN
-                             (DO ((G169132 (|getSpecialCaseAssoc|)
-                                      (CDR G169132))
-                                  (|y| NIL))
-                                 ((OR (ATOM G169132)
-                                      (PROGN
-                                        (SETQ |y| (CAR G169132))
-                                        NIL))
-                                  (NREVERSE0 G169126))
-                               (SEQ (EXIT
-                                     (COND
-                                       ((AND
-                                         (NULL
-                                          (|get| (CAR |y|)
-                                           '|specialCase| |$e|))
-                                         (PROGN
-                                           (SPADLET R (CAR |y|))
-                                           (SPADLET |R'| (CADR |y|))
-                                           |y|)
-                                         (|compileCases,isEltArgumentIn|
-                                          (|compileCases,FindNamesFor|
-                                           R |R'|)
-                                          |x|))
-                                        (SETQ G169126
-                                         (CONS |y| G169126))))))))))
-                (COND
-                  ((NULL |specialCaseAssoc|) (|compile| |x|))
-                  ('T
-                   (SPADLET |listOfDomains|
-                            (ASSOCLEFT |specialCaseAssoc|))
-                   (SPADLET |listOfAllCases|
-                            (|outerProduct|
-                                (ASSOCRIGHT |specialCaseAssoc|)))
-                   (SPADLET |cl|
-                            (PROG (G169144)
-                              (SPADLET G169144 NIL)
-                              (RETURN
-                                (DO ((G169151 |listOfAllCases|
-                                      (CDR G169151))
-                                     (|l| NIL))
-                                    ((OR (ATOM G169151)
-                                      (PROGN
-                                        (SETQ |l| (CAR G169151))
-                                        NIL))
-                                     (NREVERSE0 G169144))
-                                  (SEQ (EXIT
-                                        (SETQ G169144
-                                         (CONS
-                                          (PROGN
-                                            (SPADLET
-                                             |$specialCaseKeyList|
-                                             (PROG (G169162)
-                                               (SPADLET G169162 NIL)
-                                               (RETURN
-                                                 (DO
-                                                  ((G169168
-                                                    |listOfDomains|
-                                                    (CDR G169168))
-                                                   (D NIL)
-                                                   (G169169 |l|
-                                                    (CDR G169169))
-                                                   (C NIL))
-                                                  ((OR (ATOM G169168)
-                                                    (PROGN
-                                                      (SETQ D
-                                                       (CAR G169168))
-                                                      NIL)
-                                                    (ATOM G169169)
-                                                    (PROGN
-                                                      (SETQ C
-                                                       (CAR G169169))
-                                                      NIL))
-                                                   (NREVERSE0
-                                                    G169162))
-                                                   (SEQ
-                                                    (EXIT
-                                                     (SETQ G169162
-                                                      (CONS (CONS D C)
-                                                       G169162))))))))
-                                            (CONS
-                                             (MKPF
-                                              (PROG (G169183)
-                                                (SPADLET G169183 NIL)
-                                                (RETURN
-                                                  (DO
-                                                   ((G169189
-                                                     |listOfDomains|
-                                                     (CDR G169189))
-                                                    (D NIL)
-                                                    (G169190 |l|
-                                                     (CDR G169190))
-                                                    (C NIL))
-                                                   ((OR
-                                                     (ATOM G169189)
-                                                     (PROGN
-                                                       (SETQ D
-                                                        (CAR G169189))
-                                                       NIL)
-                                                     (ATOM G169190)
-                                                     (PROGN
-                                                       (SETQ C
-                                                        (CAR G169190))
-                                                       NIL))
-                                                    (NREVERSE0
-                                                     G169183))
-                                                    (SEQ
-                                                     (EXIT
-                                                      (SETQ G169183
-                                                       (CONS
-                                                        (CONS 'EQUAL
-                                                         (CONS D
-                                                          (CONS C NIL)))
-                                                        G169183)))))))
-                                              'AND)
-                                             (CONS
-                                              (|compile| (COPY |x|))
-                                              NIL)))
-                                          G169144))))))))
-                   (SPADLET |$specialCaseKeyList| NIL)
-                   (CONS 'COND
-                         (APPEND |cl|
-                                 (CONS (CONS |$true|
-                                        (CONS (|compile| |x|) NIL))
-                                       NIL))))))))))))
-
-;getSpecialCaseAssoc() ==
-;  [[R,:l] for R in rest $functorForm
-;    for l in rest $functorSpecialCases | l]
-
-(DEFUN |getSpecialCaseAssoc| ()
-  (PROG ()
-  (declare (special |$functorSpecialCases| |$functorForm|))
-    (RETURN
-      (SEQ (PROG (G169224)
-             (SPADLET G169224 NIL)
-             (RETURN
-               (DO ((G169231 (CDR |$functorForm|) (CDR G169231))
-                    (R NIL)
-                    (G169232 (CDR |$functorSpecialCases|)
-                        (CDR G169232))
-                    (|l| NIL))
-                   ((OR (ATOM G169231)
-                        (PROGN (SETQ R (CAR G169231)) NIL)
-                        (ATOM G169232)
-                        (PROGN (SETQ |l| (CAR G169232)) NIL))
-                    (NREVERSE0 G169224))
-                 (SEQ (EXIT (COND
-                              (|l| (SETQ G169224
-                                    (CONS (CONS R |l|) G169224)))))))))))))
-
-;compile u ==
-;  [op,lamExpr] := u
-;  if $suffix then
-;    $suffix:= $suffix+1
-;    op':=
-;      opexport:=nil
-;      opmodes:=
-;        [sel
-;          for [[DC,:sig],[.,sel]] in get(op,'modemap,$e) |
-;            DC='_$ and (opexport:=true) and
-;             (and/[modeEqual(x,y) for x in sig for y in $signatureOfForm])]
-;      isLocalFunction op =>
-;        if opexport then userError ['%b,op,'%d,'" is local and exported"]
-;        INTERN STRCONC(encodeItem $prefix,'";",encodeItem op) where
-;          isLocalFunction op ==
-;            null MEMBER(op,$formalArgList) and
-;              getmode(op,$e) is ['Mapping,:.]
-;      isPackageFunction() and KAR $functorForm^="CategoryDefaults" =>
-;        if null opmodes then userError ['"no modemap for ",op]
-;        opmodes is [['PAC,.,name]] => name
-;        encodeFunctionName(op,$functorForm,$signatureOfForm,";",$suffix)
-;      encodeFunctionName(op,$functorForm,$signatureOfForm,";",$suffix)
-;    u:= [op',lamExpr]
-;  -- If just updating certain functions, check for previous existence.
-;  -- Deduce old sequence number and use it (items have been skipped).
-;  if $LISPLIB and $compileOnlyCertainItems then
-;    parts := splitEncodedFunctionName(u.0, ";")
-;--  Next line JHD/SMWATT 7/17/86 to deal with inner functions
-;    parts='inner => $savableItems:=[u.0,:$savableItems]
-;    unew  := nil
-;    for [s,t] in $splitUpItemsAlreadyThere repeat
-;       if parts.0=s.0 and parts.1=s.1 and parts.2=s.2 then unew := t
-;    null unew =>
-;      sayBrightly ['"   Error: Item did not previously exist"]
-;      sayBrightly ['"   Item not saved: ", :bright u.0]
-;      sayBrightly ['"   What's there is: ", $lisplibItemsAlreadyThere]
-;      nil
-;    sayBrightly ['"   Renaming ", u.0, '" as ", unew]
-;    u := [unew, :rest u]
-;    $savableItems := [unew, :$saveableItems] -- tested by embedded RWRITE
-;  optimizedBody:= optimizeFunctionDef u
-;  stuffToCompile:=
-;    if null $insideCapsuleFunctionIfTrue
-;       then optimizedBody
-;       else putInLocalDomainReferences optimizedBody
-;  $doNotCompileJustPrint=true => (PRETTYPRINT stuffToCompile; op')
-;  $macroIfTrue => constructMacro stuffToCompile
-;  result:= spadCompileOrSetq stuffToCompile
-;  functionStats:=[0,elapsedTime()]
-;  $functionStats:= addStats($functionStats,functionStats)
-;  printStats functionStats
-;  result
-
-(DEFUN |compile,isLocalFunction| (|op|)
-  (PROG (|ISTMP#1|)
-  (declare (special |$e| |$formalArgList|))
-    (RETURN
-      (AND (NULL (|member| |op| |$formalArgList|))
-           (PROGN
-             (SPADLET |ISTMP#1| (|getmode| |op| |$e|))
-             (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)))))))
-
-(DEFUN |compile| (|u|)
-  (PROG (|op| |lamExpr| DC |sig| |sel| |opexport| |opmodes| |ISTMP#1|
-              |ISTMP#2| |ISTMP#3| |name| |op'| |parts| |s| |t| |unew|
-              |optimizedBody| |stuffToCompile| |result|
-              |functionStats|)
-  (declare (special |$functionStats| |$macroIfTrue| |$doNotCompileJustPrint|
-                    |$insideCapsuleFunctionIfTrue| |$saveableItems| |$e|
-                    |$lisplibItemsAlreadyThere| |$splitUpItemsAlreadyThere|
-                    |$compileOnlyCertainItems| $LISPLIB |$suffix|
-                    |$signatureOfForm| |$functorForm| |$prefix| 
-                    |$savableItems|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |u|))
-             (SPADLET |lamExpr| (CADR |u|))
-             (COND
-               (|$suffix| (SPADLET |$suffix| (PLUS |$suffix| 1))
-                   (SPADLET |op'|
-                            (PROGN
-                              (SPADLET |opexport| NIL)
-                              (SPADLET |opmodes|
-                                       (PROG (G169296)
-                                         (SPADLET G169296 NIL)
-                                         (RETURN
-                                           (DO
-                                            ((G169303
-                                              (|get| |op| '|modemap|
-                                               |$e|)
-                                              (CDR G169303))
-                                             (G169248 NIL))
-                                            ((OR (ATOM G169303)
-                                              (PROGN
-                                                (SETQ G169248
-                                                 (CAR G169303))
-                                                NIL)
-                                              (PROGN
-                                                (PROGN
-                                                  (SPADLET DC
-                                                   (CAAR G169248))
-                                                  (SPADLET |sig|
-                                                   (CDAR G169248))
-                                                  (SPADLET |sel|
-                                                   (CADADR G169248))
-                                                  G169248)
-                                                NIL))
-                                             (NREVERSE0 G169296))
-                                             (SEQ
-                                              (EXIT
-                                               (COND
-                                                 ((AND
-                                                   (BOOT-EQUAL DC '$)
-                                                   (SPADLET |opexport|
-                                                    'T)
-                                                   (PROG (G169310)
-                                                     (SPADLET G169310
-                                                      'T)
-                                                     (RETURN
-                                                       (DO
-                                                        ((G169317 NIL
-                                                          (NULL
-                                                           G169310))
-                                                         (G169318
-                                                          |sig|
-                                                          (CDR
-                                                           G169318))
-                                                         (|x| NIL)
-                                                         (G169319
-                                                          |$signatureOfForm|
-                                                          (CDR
-                                                           G169319))
-                                                         (|y| NIL))
-                                                        ((OR G169317
-                                                          (ATOM
-                                                           G169318)
-                                                          (PROGN
-                                                            (SETQ |x|
-                                                             (CAR
-                                                              G169318))
-                                                            NIL)
-                                                          (ATOM
-                                                           G169319)
-                                                          (PROGN
-                                                            (SETQ |y|
-                                                             (CAR
-                                                              G169319))
-                                                            NIL))
-                                                         G169310)
-                                                         (SEQ
-                                                          (EXIT
-                                                           (SETQ
-                                                            G169310
-                                                            (AND
-                                                             G169310
-                                                             (|modeEqual|
-                                                              |x| |y|)))))))))
-                                                  (SETQ G169296
-                                                   (CONS |sel|
-                                                    G169296))))))))))
-                              (COND
-                                ((|compile,isLocalFunction| |op|)
-                                 (COND
-                                   (|opexport|
-                                    (|userError|
-                                     (CONS '|%b|
-                                      (CONS |op|
-                                       (CONS '|%d|
-                                        (CONS
-                                                                                   " is local and exported"
-                                         NIL)))))))
-                                 (INTERN (STRCONC
-                                          (|encodeItem| |$prefix|)
-                                          ";"
-                                          (|encodeItem| |op|))))
-                                ((AND (|isPackageFunction|)
-                                      (NEQUAL (KAR |$functorForm|)
-                                       '|CategoryDefaults|))
-                                 (COND
-                                   ((NULL |opmodes|)
-                                    (|userError|
-                                     (CONS
-                                      "no modemap for "
-                                      (CONS |op| NIL)))))
-                                 (COND
-                                   ((AND (PAIRP |opmodes|)
-                                     (EQ (QCDR |opmodes|) NIL)
-                                     (PROGN
-                                       (SPADLET |ISTMP#1|
-                                        (QCAR |opmodes|))
-                                       (AND (PAIRP |ISTMP#1|)
-                                        (EQ (QCAR |ISTMP#1|) 'PAC)
-                                        (PROGN
-                                          (SPADLET |ISTMP#2|
-                                           (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
-                                           (PROGN
-                                             (SPADLET |ISTMP#3|
-                                              (QCDR |ISTMP#2|))
-                                             (AND (PAIRP |ISTMP#3|)
-                                              (EQ (QCDR |ISTMP#3|) NIL)
-                                              (PROGN
-                                                (SPADLET |name|
-                                                 (QCAR |ISTMP#3|))
-                                                'T))))))))
-                                    |name|)
-                                   ('T
-                                    (|encodeFunctionName| |op|
-                                     |$functorForm| |$signatureOfForm|
-                                     '|;| |$suffix|))))
-                                ('T
-                                 (|encodeFunctionName| |op|
-                                     |$functorForm| |$signatureOfForm|
-                                     '|;| |$suffix|)))))
-                   (SPADLET |u| (CONS |op'| (CONS |lamExpr| NIL)))))
-             (COND
-               ((AND $LISPLIB |$compileOnlyCertainItems|)
-                (SPADLET |parts|
-                         (|splitEncodedFunctionName| (ELT |u| 0) '|;|))
-                (COND
-                  ((BOOT-EQUAL |parts| '|inner|)
-                   (SPADLET |$savableItems|
-                            (CONS (ELT |u| 0) |$savableItems|)))
-                  ('T (SPADLET |unew| NIL)
-                   (DO ((G169333 |$splitUpItemsAlreadyThere|
-                            (CDR G169333))
-                        (G169282 NIL))
-                       ((OR (ATOM G169333)
-                            (PROGN
-                              (SETQ G169282 (CAR G169333))
-                              NIL)
-                            (PROGN
-                              (PROGN
-                                (SPADLET |s| (CAR G169282))
-                                (SPADLET |t| (CADR G169282))
-                                G169282)
-                              NIL))
-                        NIL)
-                     (SEQ (EXIT (COND
-                                  ((AND
-                                    (BOOT-EQUAL (ELT |parts| 0)
-                                     (ELT |s| 0))
-                                    (BOOT-EQUAL (ELT |parts| 1)
-                                     (ELT |s| 1))
-                                    (BOOT-EQUAL (ELT |parts| 2)
-                                     (ELT |s| 2)))
-                                   (SPADLET |unew| |t|))
-                                  ('T NIL)))))
-                   (COND
-                     ((NULL |unew|)
-                      (|sayBrightly|
-                          (CONS                                     "   Error: Item did not previously exist"
-                                NIL))
-                      (|sayBrightly|
-                          (CONS "   Item not saved: "
-                                (|bright| (ELT |u| 0))))
-                      (|sayBrightly|
-                          (CONS "   What's there is: "
-                                (CONS |$lisplibItemsAlreadyThere| NIL)))
-                      NIL)
-                     ('T
-                      (|sayBrightly|
-                          (CONS "   Renaming "
-                                (CONS (ELT |u| 0)
-                                      (CONS " as "
-                                       (CONS |unew| NIL)))))
-                      (SPADLET |u| (CONS |unew| (CDR |u|)))
-                      (SPADLET |$savableItems|
-                               (CONS |unew| |$saveableItems|))))))))
-             (SPADLET |optimizedBody| (|optimizeFunctionDef| |u|))
-             (SPADLET |stuffToCompile|
-                      (COND
-                        ((NULL |$insideCapsuleFunctionIfTrue|)
-                         |optimizedBody|)
-                        ('T
-                         (|putInLocalDomainReferences| |optimizedBody|))))
-             (COND
-               ((BOOT-EQUAL |$doNotCompileJustPrint| 'T)
-                (PRETTYPRINT |stuffToCompile|) |op'|)
-               (|$macroIfTrue| (|constructMacro| |stuffToCompile|))
-               ('T
-                (SPADLET |result|
-                         (|spadCompileOrSetq| |stuffToCompile|))
-                (SPADLET |functionStats|
-                         (CONS 0 (CONS (|elapsedTime|) NIL)))
-                (SPADLET |$functionStats|
-                         (|addStats| |$functionStats| |functionStats|))
-                (|printStats| |functionStats|) |result|)))))))
-
-;spadCompileOrSetq (form is [nam,[lam,vl,body]]) ==
-;        --bizarre hack to take account of the existence of "known" functions
-;        --good for performance (LISPLLIB size, BPI size, NILSEC)
-;  CONTAINED("",body) => sayBrightly ['"  ",:bright nam,'" not compiled"]
-;  if vl is [:vl',E] and body is [nam',: =vl'] then
-;      LAM_,EVALANDFILEACTQ ['PUT,MKQ nam,MKQ 'SPADreplace,MKQ nam']
-;      sayBrightly ['"     ",:bright nam,'"is replaced by",:bright nam']
-;  else if (ATOM body or and/[ATOM x for x in body])
-;         and vl is [:vl',E] and not CONTAINED(E,body) then
-;           macform := ['XLAM,vl',body]
-;           LAM_,EVALANDFILEACTQ ['PUT,MKQ nam,MKQ 'SPADreplace,MKQ macform]
-;           sayBrightly ['"     ",:bright nam,'"is replaced by",:bright body]
-;  $insideCapsuleFunctionIfTrue => first COMP LIST form
-;  compileConstructor form
-
-(DEFUN |spadCompileOrSetq| (|form|)
-  (PROG (|nam| |lam| |vl| |body| |nam'| |ISTMP#1| E |vl'| |macform|)
-  (declare (special |$insideCapsuleFunctionIfTrue|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |nam| (CAR |form|))
-             (SPADLET |lam| (CAADR |form|))
-             (SPADLET |vl| (CADADR |form|))
-             (SPADLET |body| (CAR (CDDADR |form|)))
-             (COND
-               ((CONTAINED (INTERN "" "BOOT") |body|)
-                (|sayBrightly|
-                    (CONS "  "
-                          (APPEND (|bright| |nam|)
-                                  (CONS " not compiled"
-                                        NIL)))))
-               ('T
-                (COND
-                  ((AND (PAIRP |vl|)
-                        (PROGN (SPADLET |ISTMP#1| (REVERSE |vl|)) 'T)
-                        (PAIRP |ISTMP#1|)
-                        (PROGN
-                          (SPADLET E (QCAR |ISTMP#1|))
-                          (SPADLET |vl'| (QCDR |ISTMP#1|))
-                          'T)
-                        (PROGN (SPADLET |vl'| (NREVERSE |vl'|)) 'T)
-                        (PAIRP |body|)
-                        (PROGN (SPADLET |nam'| (QCAR |body|)) 'T)
-                        (EQUAL (QCDR |body|) |vl'|))
-                   (|LAM,EVALANDFILEACTQ|
-                       (CONS 'PUT
-                             (CONS (MKQ |nam|)
-                                   (CONS (MKQ '|SPADreplace|)
-                                    (CONS (MKQ |nam'|) NIL)))))
-                   (|sayBrightly|
-                       (CONS "     "
-                             (APPEND (|bright| |nam|)
-                                     (CONS
-                                      "is replaced by"
-                                      (|bright| |nam'|))))))
-                  ((AND (OR (ATOM |body|)
-                            (PROG (G169410)
-                              (SPADLET G169410 'T)
-                              (RETURN
-                                (DO ((G169416 NIL (NULL G169410))
-                                     (G169417 |body| (CDR G169417))
-                                     (|x| NIL))
-                                    ((OR G169416 (ATOM G169417)
-                                      (PROGN
-                                        (SETQ |x| (CAR G169417))
-                                        NIL))
-                                     G169410)
-                                  (SEQ (EXIT
-                                        (SETQ G169410
-                                         (AND G169410 (ATOM |x|)))))))))
-                        (PAIRP |vl|)
-                        (PROGN (SPADLET |ISTMP#1| (REVERSE |vl|)) 'T)
-                        (PAIRP |ISTMP#1|)
-                        (PROGN
-                          (SPADLET E (QCAR |ISTMP#1|))
-                          (SPADLET |vl'| (QCDR |ISTMP#1|))
-                          'T)
-                        (PROGN (SPADLET |vl'| (NREVERSE |vl'|)) 'T)
-                        (NULL (CONTAINED E |body|)))
-                   (SPADLET |macform|
-                            (CONS 'XLAM (CONS |vl'| (CONS |body| NIL))))
-                   (|LAM,EVALANDFILEACTQ|
-                       (CONS 'PUT
-                             (CONS (MKQ |nam|)
-                                   (CONS (MKQ '|SPADreplace|)
-                                    (CONS (MKQ |macform|) NIL)))))
-                   (|sayBrightly|
-                       (CONS "     "
-                             (APPEND (|bright| |nam|)
-                                     (CONS
-                                      "is replaced by"
-                                      (|bright| |body|))))))
-                  ('T NIL))
-                (COND
-                  (|$insideCapsuleFunctionIfTrue|
-                      (CAR (COMP (LIST |form|))))
-                  ('T (|compileConstructor| |form|))))))))))
-
-;compileConstructor form ==
-;  u:= compileConstructor1 form
-;  clearClams()                  --clear all CLAMmed functions
-;  u
-
-(DEFUN |compileConstructor| (|form|)
-  (PROG (|u|)
-    (RETURN
-      (PROGN
-        (SPADLET |u| (|compileConstructor1| |form|))
-        (|clearClams|)
-        |u|))))
-
-;compileConstructor1 (form:=[fn,[key,vl,:bodyl]]) ==
-;-- fn is the name of some category/domain/package constructor;
-;-- we will cache all of its values on $ConstructorCache with reference
-;-- counts
-;  $clamList: local := nil
-;  lambdaOrSlam :=
-;    GETDATABASE(fn,'CONSTRUCTORKIND) = 'category => 'SPADSLAM
-;    $mutableDomain => 'LAMBDA
-;    $clamList:=
-;      [[fn,"$ConstructorCache",'domainEqualList,'count],:$clamList]
-;    'LAMBDA
-;  compForm:= LIST [fn,[lambdaOrSlam,vl,:bodyl]]
-;  if GETDATABASE(fn,'CONSTRUCTORKIND) = 'category
-;      then u:= compAndDefine compForm
-;      else u:=COMP compForm
-;  clearConstructorCache fn      --clear cache for constructor
-;  first u
-
-(DEFUN |compileConstructor1| (|form|)
-  (PROG (|$clamList| |fn| |key| |vl| |bodyl| |lambdaOrSlam| |compForm|
-            |u|)
-    (DECLARE (SPECIAL |$clamList| |$ConstructorCache| |$mutableDomain|))
-    (RETURN
-      (PROGN
-        (SPADLET |fn| (CAR |form|))
-        (SPADLET |key| (CAADR |form|))
-        (SPADLET |vl| (CADADR |form|))
-        (SPADLET |bodyl| (CDDADR |form|))
-        (SPADLET |$clamList| NIL)
-        (SPADLET |lambdaOrSlam|
-                 (COND
-                   ((BOOT-EQUAL (GETDATABASE |fn| 'CONSTRUCTORKIND)
-                        '|category|)
-                    'SPADSLAM)
-                   (|$mutableDomain| 'LAMBDA)
-                   ('T
-                    (SPADLET |$clamList|
-                             (CONS (CONS |fn|
-                                    (CONS '|$ConstructorCache|
-                                     (CONS '|domainEqualList|
-                                      (CONS '|count| NIL))))
-                                   |$clamList|))
-                    'LAMBDA)))
-        (SPADLET |compForm|
-                 (LIST (CONS |fn|
-                             (CONS (CONS |lambdaOrSlam|
-                                    (CONS |vl| |bodyl|))
-                                   NIL))))
-        (COND
-          ((BOOT-EQUAL (GETDATABASE |fn| 'CONSTRUCTORKIND) '|category|)
-           (SPADLET |u| (|compAndDefine| |compForm|)))
-          ('T (SPADLET |u| (COMP |compForm|))))
-        (|clearConstructorCache| |fn|)
-        (CAR |u|)))))
-
-;constructMacro (form is [nam,[lam,vl,body]]) ==
-;  ^(and/[atom x for x in vl]) =>
-;    stackSemanticError(["illegal parameters for macro: ",vl],nil)
-;  ["XLAM",vl':= [x for x in vl | IDENTP x],body]
-
-(DEFUN |constructMacro| (|form|)
-  (PROG (|nam| |lam| |vl| |body| |vl'|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |nam| (CAR |form|))
-             (SPADLET |lam| (CAADR |form|))
-             (SPADLET |vl| (CADADR |form|))
-             (SPADLET |body| (CAR (CDDADR |form|)))
-             (COND
-               ((NULL (PROG (G169489)
-                        (SPADLET G169489 'T)
-                        (RETURN
-                          (DO ((G169495 NIL (NULL G169489))
-                               (G169496 |vl| (CDR G169496))
-                               (|x| NIL))
-                              ((OR G169495 (ATOM G169496)
-                                   (PROGN
-                                     (SETQ |x| (CAR G169496))
-                                     NIL))
-                               G169489)
-                            (SEQ (EXIT (SETQ G169489
-                                        (AND G169489 (ATOM |x|)))))))))
-                (|stackSemanticError|
-                    (CONS '|illegal parameters for macro: |
-                          (CONS |vl| NIL))
-                    NIL))
-               ('T
-                (CONS 'XLAM
-                      (CONS (SPADLET |vl'|
-                                     (PROG (G169508)
-                                       (SPADLET G169508 NIL)
-                                       (RETURN
-                                         (DO
-                                          ((G169514 |vl|
-                                            (CDR G169514))
-                                           (|x| NIL))
-                                          ((OR (ATOM G169514)
-                                            (PROGN
-                                              (SETQ |x|
-                                               (CAR G169514))
-                                              NIL))
-                                           (NREVERSE0 G169508))
-                                           (SEQ
-                                            (EXIT
-                                             (COND
-                                               ((IDENTP |x|)
-                                                (SETQ G169508
-                                                 (CONS |x| G169508))))))))))
-                            (CONS |body| NIL))))))))))
-
-;listInitialSegment(u,v) ==
-;  null u => true
-;  null v => nil
-;  first u=first v and listInitialSegment(rest u,rest v)
-
-(DEFUN |listInitialSegment| (|u| |v|)
-  (COND
-    ((NULL |u|) 'T)
-    ((NULL |v|) NIL)
-    ('T
-     (AND (BOOT-EQUAL (CAR |u|) (CAR |v|))
-          (|listInitialSegment| (CDR |u|) (CDR |v|))))))
-
-;  --returns true iff u.i=v.i for i in 1..(#u)-1
-;
-;modemap2Signature [[.,:sig],:.] == sig
-
-(DEFUN |modemap2Signature| (G169534)
-  (PROG (|sig|)
-    (RETURN (PROGN (SPADLET |sig| (CDAR G169534)) |sig|))))
-
-;uncons x ==
-;  atom x => x
-;  x is ["CONS",a,b] => [a,:uncons b]
-
-(DEFUN |uncons| (|x|)
-  (PROG (|ISTMP#1| |a| |ISTMP#2| |b|)
-    (RETURN
-      (COND
-        ((ATOM |x|) |x|)
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'CONS)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |a| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) 'T))))))
-         (CONS |a| (|uncons| |b|)))))))
-
-;--% CAPSULE
-;
-;bootStrapError(functorForm,sourceFile) ==
-;  ['COND, _
-;    ['$bootStrapMode, _
-;        ['VECTOR,mkDomainConstructor functorForm,nil,nil,nil,nil,nil]],
-;    [''T, ['systemError,['LIST,''%b,MKQ CAR functorForm,''%d,'"from", _
-;      ''%b,MKQ namestring sourceFile,''%d,'"needs to be compiled"]]]]
-
-(DEFUN |bootStrapError| (|functorForm| |sourceFile|)
-  (declare (special |$bootStrapMode|))
-  (CONS 'COND
-        (CONS (CONS '|$bootStrapMode|
-                    (CONS (CONS 'VECTOR
-                                (CONS (|mkDomainConstructor|
-                                       |functorForm|)
-                                      (CONS NIL
-                                       (CONS NIL
-                                        (CONS NIL
-                                         (CONS NIL (CONS NIL NIL)))))))
-                          NIL))
-              (CONS (CONS ''T
-                          (CONS (CONS '|systemError|
-                                      (CONS
-                                       (CONS 'LIST
-                                        (CONS ''|%b|
-                                         (CONS
-                                          (MKQ (CAR |functorForm|))
-                                          (CONS ''|%d|
-                                           (CONS "from"
-                                            (CONS ''|%b|
-                                             (CONS
-                                              (MKQ
-                                               (|namestring|
-                                                |sourceFile|))
-                                              (CONS ''|%d|
-                                               (CONS
-                                                                                                 "needs to be compiled"
-                                                NIL)))))))))
-                                       NIL))
-                                NIL))
-                    NIL))))
-
-;compTuple2Record u == ['Record,:[[":",i,x] for i in 1.. for x in rest u]]
-
-(DEFUN |compTuple2Record| (|u|)
-  (PROG ()
-    (RETURN
-      (SEQ (CONS '|Record|
-                 (PROG (G169701)
-                   (SPADLET G169701 NIL)
-                   (RETURN
-                     (DO ((|i| 1 (QSADD1 |i|))
-                          (G169707 (CDR |u|) (CDR G169707))
-                          (|x| NIL))
-                         ((OR (ATOM G169707)
-                              (PROGN (SETQ |x| (CAR G169707)) NIL))
-                          (NREVERSE0 G169701))
-                       (SEQ (EXIT (SETQ G169701
-                                        (CONS
-                                         (CONS '|:|
-                                          (CONS |i| (CONS |x| NIL)))
-                                         G169701))))))))))))
-
-;--% PROCESS FUNCTOR CODE
-;
-;processFunctor(form,signature,data,localParList,e) ==
-;  form is ["CategoryDefaults"] =>
-;    error "CategoryDefaults is a reserved name"
-;  buildFunctor(form,signature,data,localParList,e)
-
-(DEFUN |processFunctor| (|form| |signature| |data| |localParList| |e|)
-  (COND
-    ((AND (PAIRP |form|) (EQ (QCDR |form|) NIL)
-          (EQ (QCAR |form|) '|CategoryDefaults|))
-     (|error| '|CategoryDefaults is a reserved name|))
-    ('T (|buildFunctor| |form| |signature| |data| |localParList| |e|))))
-
-\end{chunk}
-\section{compCapsuleItems}
-The variable [[data]] appears to be unbound at runtime. Optimized
-code won't check for this but interpreted code fails. We should
-PROVE that data is unbound at runtime but have not done so yet.
-Rather than remove the code entirely (since there MIGHT be a 
-path where it is used) we check for the runtime bound case and
-assign [[$myFunctorBody]] if data has a value.
-
-The [[compCapsuleInner]] function in this file LOOKS like it sets
-data and expects code to manipulate the assigned data structure.
-Since we can't be sure we take the least disruptive course of action.
-
-\begin{chunk}{*}
-;compCapsuleItems(itemlist,$predl,$e) ==
-;  $TOP__LEVEL: local := nil
-;  $myFunctorBody :local         -- := data    ---needed for translator
-;  if (BOUNDP 'data) then $myFunctorBody:=data -- unbound at runtime?
-;  $signatureOfForm: local := nil
-;  $suffix: local:= 0
-;  for item in itemlist repeat $e:= compSingleCapsuleItem(item,$predl,$e)
-;  $e
-
-(DEFUN |compCapsuleItems| (|itemlist| |$predl| |$e|)
-  (DECLARE (SPECIAL |$predl| |$e|))
-  (PROG ($TOP_LEVEL |$myFunctorBody| |$signatureOfForm| |$suffix|)
-    (DECLARE (SPECIAL $TOP_LEVEL |$myFunctorBody| |$signatureOfForm|
-                      |$suffix|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET $TOP_LEVEL NIL)
-             (SPADLET |$myFunctorBody| NIL)
-             (COND
-               ((BOUNDP '|data|) (SPADLET |$myFunctorBody| |data|)))
-             (SPADLET |$signatureOfForm| NIL)
-             (SPADLET |$suffix| 0)
-             (DO ((G169805 |itemlist| (CDR G169805)) (|item| NIL))
-                 ((OR (ATOM G169805)
-                      (PROGN (SETQ |item| (CAR G169805)) NIL))
-                  NIL)
-               (SEQ (EXIT (SPADLET |$e|
-                                   (|compSingleCapsuleItem| |item|
-                                    |$predl| |$e|)))))
-             |$e|)))))
-
-;compSingleCapsuleItem(item,$predl,$e) ==
-;  doIt(macroExpandInPlace(item,$e),$predl)
-;  $e
-
-(DEFUN |compSingleCapsuleItem| (|item| |$predl| |$e|)
-  (DECLARE (SPECIAL |$predl| |$e|))
-  (PROGN (|doIt| (|macroExpandInPlace| |item| |$e|) |$predl|) |$e|))
-
-;doIt(item,$predl) ==
-;  $GENNO: local:= 0
-;  item is ['SEQ,:l,['exit,1,x]] =>
-;    RPLACA(item,"PROGN")
-;    RPLACA(LASTNODE item,x)
-;    for it1 in rest item repeat $e:= compSingleCapsuleItem(it1,$predl,$e)
-;        --This will RPLAC as appropriate
-;  isDomainForm(item,$e) =>
-;     -- convert naked top level domains to import
-;    u:= ['import, [first item,:rest item]]
-;    stackWarning ["Use: import ", [first item,:rest item]]
-;    RPLACA(item,first u)
-;    RPLACD(item,rest u)
-;    doIt(item,$predl)
-;  item is ['LET,lhs,rhs,:.] =>
-;    not (compOrCroak(item,$EmptyMode,$e) is [code,.,$e]) =>
-;      stackSemanticError(["cannot compile assigned value to",:bright lhs],nil)
-;    not (code is ['LET,lhs',rhs',:.] and atom lhs') =>
-;      code is ["PROGN",:.] =>
-;         stackSemanticError(["multiple assignment ",item," not allowed"],nil)
-;      RPLACA(item,first code)
-;      RPLACD(item,rest code)
-;    lhs:= lhs'
-;    if not MEMBER(KAR rhs,$NonMentionableDomainNames) and
-;      not MEMQ(lhs, $functorLocalParameters) then
-;         $functorLocalParameters:= [:$functorLocalParameters,lhs]
-;    if code is ['LET,.,rhs',:.] and isDomainForm(rhs',$e) then
-;      if isFunctor rhs' then
-;        $functorsUsed:= insert(opOf rhs',$functorsUsed)
-;        $packagesUsed:= insert([opOf rhs'],$packagesUsed)
-;      if lhs="Rep" then
-;        $Representation:= (get("Rep",'value,$e)).(0)
-;           --$Representation bound by compDefineFunctor, used in compNoStacking
-;--+
-;        if $NRTopt = true
-;          then NRTgetLocalIndex $Representation
-;--+
-;      $LocalDomainAlist:= --see genDeltaEntry
-;        [[lhs,:SUBLIS($LocalDomainAlist,get(lhs,'value,$e).0)],:$LocalDomainAlist]
-;--+
-;    code is ['LET,:.] =>
-;      RPLACA(item,($QuickCode => 'QSETREFV;'SETELT))
-;      rhsCode:=
-;       rhs'
-;      RPLACD(item,['$,NRTgetLocalIndexClear lhs,rhsCode])
-;    RPLACA(item,first code)
-;    RPLACD(item,rest code)
-;  item is [":",a,t] => [.,.,$e]:= compOrCroak(item,$EmptyMode,$e)
-;  item is ['import,:doms] =>
-;     for dom in doms repeat
-;       sayBrightly ['"   importing ",:formatUnabbreviated dom]
-;     [.,.,$e] := compOrCroak(item,$EmptyMode,$e)
-;     RPLACA(item,'PROGN)
-;     RPLACD(item,NIL) -- creates a no-op
-;  item is ["IF",:.] => doItIf(item,$predl,$e)
-;  item is ["where",b,:l] => compOrCroak(item,$EmptyMode,$e)
-;  item is ["MDEF",:.] => [.,.,$e]:= compOrCroak(item,$EmptyMode,$e)
-;  item is ['DEF,[op,:.],:.] =>
-;    body:= isMacro(item,$e) => $e:= put(op,'macro,body,$e)
-;    [.,.,$e]:= t:= compOrCroak(item,$EmptyMode,$e)
-;    RPLACA(item,"CodeDefine")
-;        --Note that DescendCode, in CodeDefine, is looking for this
-;    RPLACD(CADR item,[$signatureOfForm])
-;      --This is how the signature is updated for buildFunctor to recognise
-;--+
-;    functionPart:= ['dispatchFunction,t.expr]
-;    RPLACA(CDDR item,functionPart)
-;    RPLACD(CDDR item,nil)
-;  u:= compOrCroak(item,$EmptyMode,$e) =>
-;    ([code,.,$e]:= u; RPLACA(item,first code); RPLACD(item,rest code))
-;  true => cannotDo()
-
-(DEFUN |doIt| (|item| |$predl|)
-  (DECLARE (SPECIAL |$predl|))
-  (PROG ($GENNO |ISTMP#4| |ISTMP#5| |x| |rhs| |ISTMP#3| |lhs'| |lhs|
-                |rhs'| |rhsCode| |a| |doms| |b| |l| |LETTMP#1|
-                |ISTMP#1| |ISTMP#2| |op| |body| |t| |functionPart| |u|
-                |code|)
-    (DECLARE (SPECIAL $GENNO |$e| |$EmptyMode| |$signatureOfForm| 
-                      |$QuickCode| |$LocalDomainAlist| |$Representation|
-                      |$NRTopt| |$packagesUsed| |$functorsUsed|
-                      |$functorLocalParameters| |$NonMentionableDomainNames|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET $GENNO 0)
-             (COND
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) 'SEQ)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |item|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
-                              'T)
-                            (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (EQ (QCAR |ISTMP#3|) '|exit|)
-                                   (PROGN
-                                     (SPADLET |ISTMP#4|
-                                      (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
-                                      (EQUAL (QCAR |ISTMP#4|) 1)
-                                      (PROGN
-                                        (SPADLET |ISTMP#5|
-                                         (QCDR |ISTMP#4|))
-                                        (AND (PAIRP |ISTMP#5|)
-                                         (EQ (QCDR |ISTMP#5|) NIL)
-                                         (PROGN
-                                           (SPADLET |x|
-                                            (QCAR |ISTMP#5|))
-                                           'T)))))))
-                            (PROGN (SPADLET |l| (QCDR |ISTMP#2|)) 'T)
-                            (PROGN (SPADLET |l| (NREVERSE |l|)) 'T))))
-                (RPLACA |item| 'PROGN) (RPLACA (LASTNODE |item|) |x|)
-                (DO ((G170009 (CDR |item|) (CDR G170009))
-                     (|it1| NIL))
-                    ((OR (ATOM G170009)
-                         (PROGN (SETQ |it1| (CAR G170009)) NIL))
-                     NIL)
-                  (SEQ (EXIT (SPADLET |$e|
-                                      (|compSingleCapsuleItem| |it1|
-                                       |$predl| |$e|))))))
-               ((|isDomainForm| |item| |$e|)
-                (SPADLET |u|
-                         (CONS '|import|
-                               (CONS (CONS (CAR |item|) (CDR |item|))
-                                     NIL)))
-                (|stackWarning|
-                    (CONS '|Use: import |
-                          (CONS (CONS (CAR |item|) (CDR |item|)) NIL)))
-                (RPLACA |item| (CAR |u|)) (RPLACD |item| (CDR |u|))
-                (|doIt| |item| |$predl|))
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) 'LET)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |item|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |lhs| (QCAR |ISTMP#1|))
-                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (PROGN
-                                     (SPADLET |rhs| (QCAR |ISTMP#2|))
-                                     'T))))))
-                (COND
-                  ((NULL (PROGN
-                           (SPADLET |ISTMP#1|
-                                    (|compOrCroak| |item| |$EmptyMode|
-                                     |$e|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (PROGN
-                                  (SPADLET |code| (QCAR |ISTMP#1|))
-                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#3|
-                                          (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
-                                          (EQ (QCDR |ISTMP#3|) NIL)
-                                          (PROGN
-                                            (SPADLET |$e|
-                                             (QCAR |ISTMP#3|))
-                                            'T))))))))
-                   (|stackSemanticError|
-                       (CONS '|cannot compile assigned value to|
-                             (|bright| |lhs|))
-                       NIL))
-                  ((NULL (AND (PAIRP |code|) (EQ (QCAR |code|) 'LET)
-                              (PROGN
-                                (SPADLET |ISTMP#1| (QCDR |code|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (PROGN
-                                       (SPADLET |lhs'|
-                                        (QCAR |ISTMP#1|))
-                                       (SPADLET |ISTMP#2|
-                                        (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (PROGN
-                                          (SPADLET |rhs'|
-                                           (QCAR |ISTMP#2|))
-                                          'T)))))
-                              (ATOM |lhs'|)))
-                   (COND
-                     ((AND (PAIRP |code|) (EQ (QCAR |code|) 'PROGN))
-                      (|stackSemanticError|
-                          (CONS '|multiple assignment |
-                                (CONS |item|
-                                      (CONS '| not allowed| NIL)))
-                          NIL))
-                     ('T (RPLACA |item| (CAR |code|))
-                      (RPLACD |item| (CDR |code|)))))
-                  ('T (SPADLET |lhs| |lhs'|)
-                   (COND
-                     ((AND (NULL (|member| (KAR |rhs|)
-                                     |$NonMentionableDomainNames|))
-                           (NULL (member |lhs| |$functorLocalParameters|)))
-                      (SPADLET |$functorLocalParameters|
-                               (APPEND |$functorLocalParameters|
-                                       (CONS |lhs| NIL)))))
-                   (COND
-                     ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LET)
-                           (PROGN
-                             (SPADLET |ISTMP#1| (QCDR |code|))
-                             (AND (PAIRP |ISTMP#1|)
-                                  (PROGN
-                                    (SPADLET |ISTMP#2|
-                                     (QCDR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
-                                     (PROGN
-                                       (SPADLET |rhs'|
-                                        (QCAR |ISTMP#2|))
-                                       'T)))))
-                           (|isDomainForm| |rhs'| |$e|))
-                      (COND
-                        ((|isFunctor| |rhs'|)
-                         (SPADLET |$functorsUsed|
-                                  (|insert| (|opOf| |rhs'|)
-                                      |$functorsUsed|))
-                         (SPADLET |$packagesUsed|
-                                  (|insert| (CONS (|opOf| |rhs'|) NIL)
-                                      |$packagesUsed|))))
-                      (COND
-                        ((BOOT-EQUAL |lhs| '|Rep|)
-                         (SPADLET |$Representation|
-                                  (ELT (|get| '|Rep| '|value| |$e|) 0))
-                         (COND
-                           ((BOOT-EQUAL |$NRTopt| 'T)
-                            (|NRTgetLocalIndex| |$Representation|))
-                           ('T NIL))))
-                      (SPADLET |$LocalDomainAlist|
-                               (CONS (CONS |lhs|
-                                      (SUBLIS |$LocalDomainAlist|
-                                       (ELT (|get| |lhs| '|value| |$e|)
-                                        0)))
-                                     |$LocalDomainAlist|))))
-                   (COND
-                     ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LET))
-                      (RPLACA |item|
-                              (COND
-                                (|$QuickCode| 'QSETREFV)
-                                ('T 'SETELT)))
-                      (SPADLET |rhsCode| |rhs'|)
-                      (RPLACD |item|
-                              (CONS '$
-                                    (CONS
-                                     (|NRTgetLocalIndexClear| |lhs|)
-                                     (CONS |rhsCode| NIL)))))
-                     ('T (RPLACA |item| (CAR |code|))
-                      (RPLACD |item| (CDR |code|)))))))
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) '|:|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |item|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |a| (QCAR |ISTMP#1|))
-                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (EQ (QCDR |ISTMP#2|) NIL)
-                                   (PROGN
-                                     (SPADLET |t| (QCAR |ISTMP#2|))
-                                     'T))))))
-                (SPADLET |LETTMP#1|
-                         (|compOrCroak| |item| |$EmptyMode| |$e|))
-                (SPADLET |$e| (CADDR |LETTMP#1|)) |LETTMP#1|)
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) '|import|)
-                     (PROGN (SPADLET |doms| (QCDR |item|)) 'T))
-                (DO ((G170018 |doms| (CDR G170018)) (|dom| NIL))
-                    ((OR (ATOM G170018)
-                         (PROGN (SETQ |dom| (CAR G170018)) NIL))
-                     NIL)
-                  (SEQ (EXIT (|sayBrightly|
-                                 (CONS "   importing "
-                                       (|formatUnabbreviated| |dom|))))))
-                (SPADLET |LETTMP#1|
-                         (|compOrCroak| |item| |$EmptyMode| |$e|))
-                (SPADLET |$e| (CADDR |LETTMP#1|))
-                (RPLACA |item| 'PROGN) (RPLACD |item| NIL))
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) 'IF))
-                (|doItIf| |item| |$predl| |$e|))
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) '|where|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |item|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |b| (QCAR |ISTMP#1|))
-                              (SPADLET |l| (QCDR |ISTMP#1|))
-                              'T))))
-                (|compOrCroak| |item| |$EmptyMode| |$e|))
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) 'MDEF))
-                (SPADLET |LETTMP#1|
-                         (|compOrCroak| |item| |$EmptyMode| |$e|))
-                (SPADLET |$e| (CADDR |LETTMP#1|)) |LETTMP#1|)
-               ((AND (PAIRP |item|) (EQ (QCAR |item|) 'DEF)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |item|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (PROGN
-                                     (SPADLET |op| (QCAR |ISTMP#2|))
-                                     'T))))))
-                (COND
-                  ((SPADLET |body| (|isMacro| |item| |$e|))
-                   (SPADLET |$e| (|put| |op| '|macro| |body| |$e|)))
-                  ('T
-                   (SPADLET |t|
-                            (|compOrCroak| |item| |$EmptyMode| |$e|))
-                   (SPADLET |$e| (CADDR |t|))
-                   (RPLACA |item| '|CodeDefine|)
-                   (RPLACD (CADR |item|) (CONS |$signatureOfForm| NIL))
-                   (SPADLET |functionPart|
-                            (CONS '|dispatchFunction|
-                                  (CONS (CAR |t|) NIL)))
-                   (RPLACA (CDDR |item|) |functionPart|)
-                   (RPLACD (CDDR |item|) NIL))))
-               ((SPADLET |u| (|compOrCroak| |item| |$EmptyMode| |$e|))
-                (SPADLET |code| (CAR |u|)) (SPADLET |$e| (CADDR |u|))
-                (RPLACA |item| (CAR |code|))
-                (RPLACD |item| (CDR |code|)))
-               ('T (|cannotDo|))))))))
-
-;isMacro(x,e) ==
-;  x is ['DEF,[op,:args],signature,specialCases,body] and
-;    null get(op,'modemap,e) and null args and null get(op,'mode,e)
-;      and signature is [nil] => body
-
-(DEFUN |isMacro| (|x| |e|)
-  (PROG (|ISTMP#1| |ISTMP#2| |op| |args| |ISTMP#3| |signature|
-            |ISTMP#4| |specialCases| |ISTMP#5| |body|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'DEF)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (PROGN
-                                   (SPADLET |op| (QCAR |ISTMP#2|))
-                                   (SPADLET |args| (QCDR |ISTMP#2|))
-                                   'T)))
-                          (PROGN
-                            (SPADLET |ISTMP#3| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#3|)
-                                 (PROGN
-                                   (SPADLET |signature|
-                                    (QCAR |ISTMP#3|))
-                                   (SPADLET |ISTMP#4| (QCDR |ISTMP#3|))
-                                   (AND (PAIRP |ISTMP#4|)
-                                    (PROGN
-                                      (SPADLET |specialCases|
-                                       (QCAR |ISTMP#4|))
-                                      (SPADLET |ISTMP#5|
-                                       (QCDR |ISTMP#4|))
-                                      (AND (PAIRP |ISTMP#5|)
-                                       (EQ (QCDR |ISTMP#5|) NIL)
-                                       (PROGN
-                                         (SPADLET |body|
-                                          (QCAR |ISTMP#5|))
-                                         'T)))))))))
-                   (NULL (|get| |op| '|modemap| |e|)) (NULL |args|)
-                   (NULL (|get| |op| '|mode| |e|)) (PAIRP |signature|)
-                   (EQ (QCDR |signature|) NIL)
-                   (NULL (QCAR |signature|)))
-              (EXIT |body|)))))))
-
-;doItIf(item is [.,p,x,y],$predl,$e) ==
-;  olde:= $e
-;  [p',.,$e]:= comp(p,$Boolean,$e) or userError ['"not a Boolean:",p]
-;  oldFLP:=$functorLocalParameters
-;  if x^="noBranch" then
-;    compSingleCapsuleItem(x,$predl,getSuccessEnvironment(p,$e))
-;    x':=localExtras(oldFLP)
-;          where localExtras(oldFLP) ==
-;            EQ(oldFLP,$functorLocalParameters) => NIL
-;            flp1:=$functorLocalParameters
-;            oldFLP':=oldFLP
-;            n:=0
-;            while oldFLP' repeat
-;              oldFLP':=CDR oldFLP'
-;              flp1:=CDR flp1
-;              n:=n+1
-;            -- Now we have to add code to compile all the elements
-;            -- of functorLocalParameters that were added during the
-;            -- conditional compilation
-;            nils:=ans:=[]
-;            for u in flp1 repeat -- is =u form always an ATOM?
-;              if ATOM u or (or/[v is [.,=u,:.] for v in $getDomainCode])
-;                then
-;                  nils:=[u,:nils]
-;                else
-;                  gv := GENSYM()
-;                  ans:=[['LET,gv,u],:ans]
-;                  nils:=[gv,:nils]
-;              n:=n+1
-;            $functorLocalParameters:=[:oldFLP,:NREVERSE nils]
-;            NREVERSE ans
-;  oldFLP:=$functorLocalParameters
-;  if y^="noBranch" then
-;    compSingleCapsuleItem(y,$predl,getInverseEnvironment(p,olde))
-;    y':=localExtras(oldFLP)
-;  RPLACA(item,"COND")
-;  RPLACD(item,[[p',x,:x'],['(QUOTE T),y,:y']])
-
-(DEFUN |doItIf,localExtras| (|oldFLP|)
-  (PROG (|oldFLP'| |flp1| |ISTMP#1| |gv| |ans| |nils| |n|)
-  (declare (special |$functorLocalParameters| |$getDomainCode|))
-    (RETURN
-      (SEQ (IF (EQ |oldFLP| |$functorLocalParameters|) (EXIT NIL))
-           (SPADLET |flp1| |$functorLocalParameters|)
-           (SPADLET |oldFLP'| |oldFLP|) (SPADLET |n| 0)
-           (DO () ((NULL |oldFLP'|) NIL)
-             (SEQ (SPADLET |oldFLP'| (CDR |oldFLP'|))
-                  (SPADLET |flp1| (CDR |flp1|))
-                  (EXIT (SPADLET |n| (PLUS |n| 1)))))
-           (SPADLET |nils| (SPADLET |ans| NIL))
-           (DO ((G170185 |flp1| (CDR G170185)) (|u| NIL))
-               ((OR (ATOM G170185)
-                    (PROGN (SETQ |u| (CAR G170185)) NIL))
-                NIL)
-             (SEQ (IF (OR (ATOM |u|)
-                          (PROG (G170191)
-                            (SPADLET G170191 NIL)
-                            (RETURN
-                              (DO ((G170199 NIL G170191)
-                                   (G170200 |$getDomainCode|
-                                    (CDR G170200))
-                                   (|v| NIL))
-                                  ((OR G170199 (ATOM G170200)
-                                    (PROGN
-                                      (SETQ |v| (CAR G170200))
-                                      NIL))
-                                   G170191)
-                                (SEQ (EXIT
-                                      (SETQ G170191
-                                       (OR G170191
-                                        (AND (PAIRP |v|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (QCDR |v|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (EQUAL (QCAR |ISTMP#1|)
-                                             |u|))))))))))))
-                      (SPADLET |nils| (CONS |u| |nils|))
-                      (SEQ (SPADLET |gv| (GENSYM))
-                           (SPADLET |ans|
-                                    (CONS
-                                     (CONS 'LET
-                                      (CONS |gv| (CONS |u| NIL)))
-                                     |ans|))
-                           (EXIT (SPADLET |nils| (CONS |gv| |nils|)))))
-                  (EXIT (SPADLET |n| (PLUS |n| 1)))))
-           (SPADLET |$functorLocalParameters|
-                    (APPEND |oldFLP| (NREVERSE |nils|)))
-           (EXIT (NREVERSE |ans|))))))
-
-(DEFUN |doItIf| (|item| |$predl| |$e|)
-  (DECLARE (SPECIAL |$predl| |$e|))
-  (PROG (|p| |x| |y| |olde| |LETTMP#1| |p'| |x'| |oldFLP| |y'|)
-  (declare (special |$functorLocalParameters|))
-    (RETURN
-      (PROGN
-        (SPADLET |p| (CADR |item|))
-        (SPADLET |x| (CADDR |item|))
-        (SPADLET |y| (CADDDR |item|))
-        (SPADLET |olde| |$e|)
-        (SPADLET |LETTMP#1|
-                 (OR (|comp| |p| |$Boolean| |$e|)
-                     (|userError|
-                         (CONS "not a Boolean:"
-                               (CONS |p| NIL)))))
-        (SPADLET |p'| (CAR |LETTMP#1|))
-        (SPADLET |$e| (CADDR |LETTMP#1|))
-        (SPADLET |oldFLP| |$functorLocalParameters|)
-        (COND
-          ((NEQUAL |x| '|noBranch|)
-           (|compSingleCapsuleItem| |x| |$predl|
-               (|getSuccessEnvironment| |p| |$e|))
-           (SPADLET |x'| (|doItIf,localExtras| |oldFLP|))))
-        (SPADLET |oldFLP| |$functorLocalParameters|)
-        (COND
-          ((NEQUAL |y| '|noBranch|)
-           (|compSingleCapsuleItem| |y| |$predl|
-               (|getInverseEnvironment| |p| |olde|))
-           (SPADLET |y'| (|doItIf,localExtras| |oldFLP|))))
-        (RPLACA |item| 'COND)
-        (RPLACD |item|
-                (CONS (CONS |p'| (CONS |x| |x'|))
-                      (CONS (CONS ''T (CONS |y| |y'|)) NIL)))))))
-
-;--compSingleCapsuleIf(x,predl,e,$functorLocalParameters) ==
-;--  compSingleCapsuleItem(x,predl,e)
-;
-;--% CATEGORY AND DOMAIN FUNCTIONS
-;compContained(["CONTAINED",a,b],m,e) ==
-;  [a,ma,e]:= comp(a,$EmptyMode,e) or return nil
-;  [b,mb,e]:= comp(b,$EmptyMode,e) or return nil
-;  isCategoryForm(ma,e) and isCategoryForm(mb,e) =>
-;    (T:= [["CONTAINED",a,b],$Boolean,e]; convert(T,m))
-;  nil
-
-(DEFUN |compContained| (G170279 |m| |e|)
-  (PROG (|a| |ma| |LETTMP#1| |b| |mb| T$)
-  (declare (special |$Boolean| |$EmptyMode|))
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G170279) 'CONTAINED) (CAR G170279)))
-        (SPADLET |a| (CADR G170279))
-        (SPADLET |b| (CADDR G170279))
-        (SPADLET |LETTMP#1|
-                 (OR (|comp| |a| |$EmptyMode| |e|) (RETURN NIL)))
-        (SPADLET |a| (CAR |LETTMP#1|))
-        (SPADLET |ma| (CADR |LETTMP#1|))
-        (SPADLET |e| (CADDR |LETTMP#1|))
-        (SPADLET |LETTMP#1|
-                 (OR (|comp| |b| |$EmptyMode| |e|) (RETURN NIL)))
-        (SPADLET |b| (CAR |LETTMP#1|))
-        (SPADLET |mb| (CADR |LETTMP#1|))
-        (SPADLET |e| (CADDR |LETTMP#1|))
-        (COND
-          ((AND (|isCategoryForm| |ma| |e|)
-                (|isCategoryForm| |mb| |e|))
-           (SPADLET T$
-                    (CONS (CONS 'CONTAINED (CONS |a| (CONS |b| NIL)))
-                          (CONS |$Boolean| (CONS |e| NIL))))
-           (|convert| T$ |m|))
-          ('T NIL))))))
-
-;compForMode(x,m,e) ==
-;  $compForModeIfTrue: local:= true
-;  comp(x,m,e)
-
-(DEFUN |compForMode| (|x| |m| |e|)
-  (PROG (|$compForModeIfTrue|)
-    (DECLARE (SPECIAL |$compForModeIfTrue|))
-    (RETURN
-      (PROGN (SPADLET |$compForModeIfTrue| 'T) (|comp| |x| |m| |e|)))))
-
-;compMakeCategoryObject(c,$e) ==
-;  not isCategoryForm(c,$e) => nil
-;  u:= mkEvalableCategoryForm c => [eval u,$Category,$e]
-;  nil
-
-(DEFUN |compMakeCategoryObject| (|c| |$e|)
-  (DECLARE (SPECIAL |$e|))
-  (PROG (|u|)
-  (declare (special |$Category|))
-    (RETURN
-      (COND
-        ((NULL (|isCategoryForm| |c| |$e|)) NIL)
-        ((SPADLET |u| (|mkEvalableCategoryForm| |c|))
-         (CONS (|eval| |u|) (CONS |$Category| (CONS |$e| NIL))))
-        ('T NIL)))))
-
-;quotifyCategoryArgument x == MKQ x
-
-(DEFUN |quotifyCategoryArgument| (|x|) (MKQ |x|))
-
-;makeCategoryForm(c,e) ==
-;  not isCategoryForm(c,e) => nil
-;  [x,m,e]:= compOrCroak(c,$EmptyMode,e)
-;  [x,e]
-
-(DEFUN |makeCategoryForm| (|c| |e|)
-  (PROG (|LETTMP#1| |x| |m|)
-  (declare (special |$EmptyMode|))
-    (RETURN
-      (COND
-        ((NULL (|isCategoryForm| |c| |e|)) NIL)
-        ('T (SPADLET |LETTMP#1| (|compOrCroak| |c| |$EmptyMode| |e|))
-         (SPADLET |x| (CAR |LETTMP#1|)) (SPADLET |m| (CADR |LETTMP#1|))
-         (SPADLET |e| (CADDR |LETTMP#1|)) (CONS |x| (CONS |e| NIL)))))))
-
-;compCategory(x,m,e) ==
-;  $TOP__LEVEL: local:= true
-;  (m:= resolve(m,["Category"]))=["Category"] and x is ['CATEGORY,
-;    domainOrPackage,:l] =>
-;      $sigList: local := nil
-;      $atList: local := nil
-;      $sigList:= $atList:= nil
-;      for x in l repeat compCategoryItem(x,nil)
-;      rep:= mkExplicitCategoryFunction(domainOrPackage,$sigList,$atList)
-;    --if inside compDefineCategory, provide for category argument substitution
-;      [rep,m,e]
-;  systemErrorHere '"compCategory"
-
-(DEFUN |compCategory| (|x| |m| |e|)
-  (PROG ($TOP_LEVEL |$sigList| |$atList| |ISTMP#1| |domainOrPackage|
-            |l| |rep|)
-    (DECLARE (SPECIAL $TOP_LEVEL |$sigList| |$atList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET $TOP_LEVEL 'T)
-             (COND
-               ((AND (BOOT-EQUAL
-                         (SPADLET |m|
-                                  (|resolve| |m|
-                                      (CONS '|Category| NIL)))
-                         (CONS '|Category| NIL))
-                     (PAIRP |x|) (EQ (QCAR |x|) 'CATEGORY)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |x|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |domainOrPackage|
-                                       (QCAR |ISTMP#1|))
-                              (SPADLET |l| (QCDR |ISTMP#1|))
-                              'T))))
-                (SPADLET |$sigList| NIL) (SPADLET |$atList| NIL)
-                (SPADLET |$sigList| (SPADLET |$atList| NIL))
-                (DO ((G170487 |l| (CDR G170487)) (|x| NIL))
-                    ((OR (ATOM G170487)
-                         (PROGN (SETQ |x| (CAR G170487)) NIL))
-                     NIL)
-                  (SEQ (EXIT (|compCategoryItem| |x| NIL))))
-                (SPADLET |rep|
-                         (|mkExplicitCategoryFunction|
-                             |domainOrPackage| |$sigList| |$atList|))
-                (CONS |rep| (CONS |m| (CONS |e| NIL))))
-               ('T (|systemErrorHere| "compCategory"))))))))
-
-;mkExplicitCategoryFunction(domainOrPackage,sigList,atList) ==
-;  body:=
-;    ["mkCategory",MKQ domainOrPackage,['LIST,:REVERSE sigList],['LIST,:
-;      REVERSE atList],MKQ domList,nil] where
-;        domList() ==
-;          ("UNION"/[fn sig for ["QUOTE",[[.,sig,:.],:.]] in sigList]) where
-;            fn sig == [D for D in sig | mustInstantiate D]
-;  parameters:=
-;    REMDUP
-;      ("append"/
-;        [[x for x in sig | IDENTP x and x^='_$]
-;          for ["QUOTE",[[.,sig,:.],:.]] in sigList])
-;  wrapDomainSub(parameters,body)
-
-(DEFUN |mkExplicitCategoryFunction,fn| (|sig|)
-  (PROG ()
-    (RETURN
-      (SEQ (PROG (G170517)
-             (SPADLET G170517 NIL)
-             (RETURN
-               (DO ((G170523 |sig| (CDR G170523)) (D NIL))
-                   ((OR (ATOM G170523)
-                        (PROGN (SETQ D (CAR G170523)) NIL))
-                    (NREVERSE0 G170517))
-                 (SEQ (EXIT (COND
-                              ((|mustInstantiate| D)
-                               (SETQ G170517 (CONS D G170517)))))))))))))
-
-(DEFUN |mkExplicitCategoryFunction|
-       (|domainOrPackage| |sigList| |atList|)
-  (PROG (|body| |sig| |parameters|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |body|
-                      (CONS '|mkCategory|
-                            (CONS (MKQ |domainOrPackage|)
-                                  (CONS (CONS 'LIST
-                                         (REVERSE |sigList|))
-                                        (CONS
-                                         (CONS 'LIST
-                                          (REVERSE |atList|))
-                                         (CONS
-                                          (MKQ
-                                           (PROG (G170546)
-                                             (SPADLET G170546 NIL)
-                                             (RETURN
-                                               (DO
-                                                ((G170552 |sigList|
-                                                  (CDR G170552))
-                                                 (G170533 NIL))
-                                                ((OR (ATOM G170552)
-                                                  (PROGN
-                                                    (SETQ G170533
-                                                     (CAR G170552))
-                                                    NIL)
-                                                  (PROGN
-                                                    (PROGN
-                                                      (SPADLET |sig|
-                                                       (CAR
-                                                        (CDAADR
-                                                         G170533)))
-                                                      G170533)
-                                                    NIL))
-                                                 G170546)
-                                                 (SEQ
-                                                  (EXIT
-                                                   (SETQ G170546
-                                                    (|union| G170546
-                                                     (|mkExplicitCategoryFunction,fn|
-                                                      |sig|)))))))))
-                                          (CONS NIL NIL)))))))
-             (SPADLET |parameters|
-                      (REMDUP (PROG (G170559)
-                                (SPADLET G170559 NIL)
-                                (RETURN
-                                  (DO ((G170565 |sigList|
-                                        (CDR G170565))
-                                       (G170542 NIL))
-                                      ((OR (ATOM G170565)
-                                        (PROGN
-                                          (SETQ G170542
-                                           (CAR G170565))
-                                          NIL)
-                                        (PROGN
-                                          (PROGN
-                                            (SPADLET |sig|
-                                             (CAR (CDAADR G170542)))
-                                            G170542)
-                                          NIL))
-                                       G170559)
-                                    (SEQ
-                                     (EXIT
-                                      (SETQ G170559
-                                       (APPEND G170559
-                                        (PROG (G170577)
-                                          (SPADLET G170577 NIL)
-                                          (RETURN
-                                            (DO
-                                             ((G170583 |sig|
-                                               (CDR G170583))
-                                              (|x| NIL))
-                                             ((OR (ATOM G170583)
-                                               (PROGN
-                                                 (SETQ |x|
-                                                  (CAR G170583))
-                                                 NIL))
-                                              (NREVERSE0 G170577))
-                                              (SEQ
-                                               (EXIT
-                                                (COND
-                                                  ((AND (IDENTP |x|)
-                                                    (NEQUAL |x| '$))
-                                                   (SETQ G170577
-                                                    (CONS |x|
-                                                    G170577))))))))))))))))))
-             (|wrapDomainSub| |parameters| |body|))))))
-
-;wrapDomainSub(parameters,x) ==
-;   ["DomainSubstitutionMacro",parameters,x]
-
-(DEFUN |wrapDomainSub| (|parameters| |x|)
-  (CONS '|DomainSubstitutionMacro| (CONS |parameters| (CONS |x| NIL))))
-
-;mustInstantiate D ==
-; D is [fn,:.] and ^(member(fn,$DummyFunctorNames) or GET(fn,"makeFunctionList"))
-
-(DEFUN |mustInstantiate| (D)
-  (PROG (|fn|)
-  (declare (special |$DummyFunctorNames|))
-    (RETURN
-      (AND (PAIRP D) (PROGN (SPADLET |fn| (QCAR D)) 'T)
-           (NULL (OR (member |fn| |$DummyFunctorNames|)
-                     (GETL |fn| '|makeFunctionList|)))))))
-
-;DomainSubstitutionFunction(parameters,body) ==
-;  --see definition of DomainSubstitutionMacro in SPAD LISP
-;  if parameters then
-;    (body:= Subst(parameters,body)) where
-;      Subst(parameters,body) ==
-;        ATOM body =>
-;          MEMQ(body,parameters) => MKQ body
-;          body
-;        MEMBER(body,parameters) =>
-;          g:=GENSYM()
-;          $extraParms:=PUSH([g,:body],$extraParms)
-;           --Used in SetVector12 to generate a substitution list
-;           --bound in buildFunctor
-;           --For categories, bound and used in compDefineCategory
-;          MKQ g
-;        first body="QUOTE" => body
-;        PAIRP $definition and
-;            isFunctor first body and
-;              first body ^= first $definition
-;          =>  ['QUOTE,optimize body]
-;        [Subst(parameters,u) for u in body]
-;  not (body is ["Join",:.]) => body
-;  atom $definition => body
-;  null rest $definition => body
-;           --should not bother if it will only be called once
-;  name:= INTERN STRCONC(KAR $definition,";CAT")
-;  SETANDFILE(name,nil)
-;  body:= ["COND",[name],['(QUOTE T),['SETQ,name,body]]]
-;  body
-
-(DEFUN |DomainSubstitutionFunction,Subst| (|parameters| |body|)
-  (PROG (|g|)
-  (declare (special |$definition| |$extraParms|))
-    (RETURN
-      (SEQ (IF (ATOM |body|)
-               (EXIT (SEQ (IF (member |body| |parameters|)
-                              (EXIT (MKQ |body|)))
-                          (EXIT |body|))))
-           (IF (|member| |body| |parameters|)
-               (EXIT (SEQ (SPADLET |g| (GENSYM))
-                          (SPADLET |$extraParms|
-                                   (PUSH (CONS |g| |body|)
-                                    |$extraParms|))
-                          (EXIT (MKQ |g|)))))
-           (IF (BOOT-EQUAL (CAR |body|) 'QUOTE) (EXIT |body|))
-           (IF (AND (AND (PAIRP |$definition|)
-                         (|isFunctor| (CAR |body|)))
-                    (NEQUAL (CAR |body|) (CAR |$definition|)))
-               (EXIT (CONS 'QUOTE (CONS (|optimize| |body|) NIL))))
-           (EXIT (PROG (G170613)
-                   (SPADLET G170613 NIL)
-                   (RETURN
-                     (DO ((G170618 |body| (CDR G170618)) (|u| NIL))
-                         ((OR (ATOM G170618)
-                              (PROGN (SETQ |u| (CAR G170618)) NIL))
-                          (NREVERSE0 G170613))
-                       (SEQ (EXIT (SETQ G170613
-                                        (CONS
-                                         (|DomainSubstitutionFunction,Subst|
-                                          |parameters| |u|)
-                                         G170613))))))))))))
-
-(DEFUN |DomainSubstitutionFunction| (|parameters| |body|)
-  (PROG (|name|)
-  (declare (special |$definition|))
-    (RETURN
-      (PROGN
-        (COND
-          (|parameters|
-              (SPADLET |body|
-                       (|DomainSubstitutionFunction,Subst| |parameters|
-                           |body|))))
-        (COND
-          ((NULL (AND (PAIRP |body|) (EQ (QCAR |body|) '|Join|)))
-           |body|)
-          ((ATOM |$definition|) |body|)
-          ((NULL (CDR |$definition|)) |body|)
-          ('T
-           (SPADLET |name|
-                    (INTERN (STRCONC (KAR |$definition|) '|;CAT|)))
-           (SETANDFILE |name| NIL)
-           (SPADLET |body|
-                    (CONS 'COND
-                          (CONS (CONS |name| NIL)
-                                (CONS (CONS ''T
-                                       (CONS
-                                        (CONS 'SETQ
-                                         (CONS |name|
-                                          (CONS |body| NIL)))
-                                        NIL))
-                                      NIL))))
-           |body|))))))
-
-;compCategoryItem(x,predl) ==
-;  x is nil => nil
-;  --1. if x is a conditional expression, recurse; otherwise, form the predicate
-;  x is ["COND",[p,e]] =>
-;    predl':= [p,:predl]
-;    e is ["PROGN",:l] => for y in l repeat compCategoryItem(y,predl')
-;    compCategoryItem(e,predl')
-;  x is ["IF",a,b,c] =>
-;    predl':= [a,:predl]
-;    if b^="noBranch" then
-;      b is ["PROGN",:l] => for y in l repeat compCategoryItem(y,predl')
-;      compCategoryItem(b,predl')
-;    c="noBranch" => nil
-;    predl':= [["not",a],:predl]
-;    c is ["PROGN",:l] => for y in l repeat compCategoryItem(y,predl')
-;    compCategoryItem(c,predl')
-;  pred:= (predl => MKPF(predl,"AND"); true)
-;
-;  --2. if attribute, push it and return
-;  x is ["ATTRIBUTE",y] => PUSH(MKQ [y,pred],$atList)
-;
-;  --3. it may be a list, with PROGN as the CAR, and some information as the CDR
-;  x is ["PROGN",:l] => for u in l repeat compCategoryItem(u,predl)
-;
-;-- 4. otherwise, x gives a signature for a
-;--    single operator name or a list of names; if a list of names,
-;--    recurse
-;  ["SIGNATURE",op,:sig]:= x
-;  null atom op =>
-;    for y in op repeat compCategoryItem(["SIGNATURE",y,:sig],predl)
-;
-;  --4. branch on a single type or a signature %with source and target
-;  PUSH(MKQ [rest x,pred],$sigList)
-;
-
-(DEFUN |compCategoryItem| (|x| |predl|)
-  (PROG (|p| |e| |a| |ISTMP#2| |b| |ISTMP#3| |c| |predl'| |pred|
-             |ISTMP#1| |y| |l| |op| |sig|)
-  (declare (special |$sigList| |$atList|))
-    (RETURN
-      (SEQ (COND
-             ((NULL |x|) NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'COND)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (PROGN
-                                   (SPADLET |p| (QCAR |ISTMP#2|))
-                                   (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
-                                    (EQ (QCDR |ISTMP#3|) NIL)
-                                    (PROGN
-                                      (SPADLET |e| (QCAR |ISTMP#3|))
-                                      'T))))))))
-              (SPADLET |predl'| (CONS |p| |predl|))
-              (COND
-                ((AND (PAIRP |e|) (EQ (QCAR |e|) 'PROGN)
-                      (PROGN (SPADLET |l| (QCDR |e|)) 'T))
-                 (DO ((G170713 |l| (CDR G170713)) (|y| NIL))
-                     ((OR (ATOM G170713)
-                          (PROGN (SETQ |y| (CAR G170713)) NIL))
-                      NIL)
-                   (SEQ (EXIT (|compCategoryItem| |y| |predl'|)))))
-                ('T (|compCategoryItem| |e| |predl'|))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |a| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (PROGN
-                                   (SPADLET |b| (QCAR |ISTMP#2|))
-                                   (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
-                                    (EQ (QCDR |ISTMP#3|) NIL)
-                                    (PROGN
-                                      (SPADLET |c| (QCAR |ISTMP#3|))
-                                      'T))))))))
-              (SPADLET |predl'| (CONS |a| |predl|))
-              (COND
-                ((NEQUAL |b| '|noBranch|)
-                 (COND
-                   ((AND (PAIRP |b|) (EQ (QCAR |b|) 'PROGN)
-                         (PROGN (SPADLET |l| (QCDR |b|)) 'T))
-                    (DO ((G170722 |l| (CDR G170722)) (|y| NIL))
-                        ((OR (ATOM G170722)
-                             (PROGN (SETQ |y| (CAR G170722)) NIL))
-                         NIL)
-                      (SEQ (EXIT (|compCategoryItem| |y| |predl'|)))))
-                   ('T (|compCategoryItem| |b| |predl'|)))))
-              (COND
-                ((BOOT-EQUAL |c| '|noBranch|) NIL)
-                ('T
-                 (SPADLET |predl'|
-                          (CONS (CONS '|not| (CONS |a| NIL)) |predl|))
-                 (COND
-                   ((AND (PAIRP |c|) (EQ (QCAR |c|) 'PROGN)
-                         (PROGN (SPADLET |l| (QCDR |c|)) 'T))
-                    (DO ((G170731 |l| (CDR G170731)) (|y| NIL))
-                        ((OR (ATOM G170731)
-                             (PROGN (SETQ |y| (CAR G170731)) NIL))
-                         NIL)
-                      (SEQ (EXIT (|compCategoryItem| |y| |predl'|)))))
-                   ('T (|compCategoryItem| |c| |predl'|))))))
-             ('T
-              (SPADLET |pred|
-                       (COND (|predl| (MKPF |predl| 'AND)) ('T 'T)))
-              (COND
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) 'ATTRIBUTE)
-                      (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |x|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (EQ (QCDR |ISTMP#1|) NIL)
-                             (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
-                 (PUSH (MKQ (CONS |y| (CONS |pred| NIL))) |$atList|))
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) 'PROGN)
-                      (PROGN (SPADLET |l| (QCDR |x|)) 'T))
-                 (DO ((G170740 |l| (CDR G170740)) (|u| NIL))
-                     ((OR (ATOM G170740)
-                          (PROGN (SETQ |u| (CAR G170740)) NIL))
-                      NIL)
-                   (SEQ (EXIT (|compCategoryItem| |u| |predl|)))))
-                ('T (COND ((EQ (CAR |x|) 'SIGNATURE) (CAR |x|)))
-                 (SPADLET |op| (CADR |x|)) (SPADLET |sig| (CDDR |x|))
-                 (COND
-                   ((NULL (ATOM |op|))
-                    (DO ((G170749 |op| (CDR G170749)) (|y| NIL))
-                        ((OR (ATOM G170749)
-                             (PROGN (SETQ |y| (CAR G170749)) NIL))
-                         NIL)
-                      (SEQ (EXIT (|compCategoryItem|
-                                     (CONS 'SIGNATURE (CONS |y| |sig|))
-                                     |predl|)))))
-                   ('T
-                    (PUSH (MKQ (CONS (CDR |x|) (CONS |pred| NIL)))
-                          |$sigList|)))))))))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/foam_l.lisp.pamphlet axiom-20111101/src/interp/foam_l.lisp.pamphlet
--- axiom-20110301a/src/interp/foam_l.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/foam_l.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,902 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp foam\_l.lisp}
-\author{Stephen M. Watt, Timothy Daly}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\section{License}
-\begin{verbatim}
-;; Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
-;; All rights reserved.
-;;
-;; Redistribution and use in source and binary forms, with or without
-;; modification, are permitted provided that the following conditions are
-;; met:
-;;
-;;     - Redistributions of source code must retain the above copyright
-;;       notice, this list of conditions and the following disclaimer.
-;;
-;;     - Redistributions in binary form must reproduce the above copyright
-;;       notice, this list of conditions and the following disclaimer in
-;;       the documentation and/or other materials provided with the
-;;       distribution.
-;;
-;;     - Neither the name of The Numerical ALgorithms Group Ltd. nor the
-;;       names of its contributors may be used to endorse or promote products
-;;       derived from this software without specific prior written permission.
-;;
-;; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-;; IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-;; TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-;; PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-;; OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-;; EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-;; PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-;; PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-;; LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-\end{verbatim}
-\begin{chunk}{*}
-
-;;;
-;;; FOAM Operations for Common Lisp
-;;;
-
-;;
-;; Client files should begin with
-;;   (in-package "FOAM-USER" :use '("FOAM" "LISP"))
-;;
-;;
-;; To Do:
-;;    Test cases.
-;;    Scan and format functions need to be rewritten to handle complete syntax.
-;;    Deftypes for each Foam type?
-;;
-
-(in-package "FOAM")
-
-(export '(
- compile-as-file cases
-
- |Clos| |Char| |Bool| |Byte| |HInt| |SInt| |BInt| |SFlo| |DFlo| |Ptr| 
- |Word| |Arb| |Env| |Level| |Arr| |Record|
-
- |ClosInit| |CharInit| |BoolInit| |ByteInit| |HIntInit| |SIntInit| 
- |BIntInit| |SFloInit| |DFloInit| |PtrInit| |WordInit| |ArbInit| |EnvInit|
- |ArrInit| |RecordInit| |LevelInit| 
-
- |BoolFalse| |BoolTrue| |BoolNot| |BoolAnd| |BoolOr| |BoolEQ| |BoolNE|
-
- |CharSpace| |CharNewline| |CharMin| |CharMax| |CharIsDigit|
- |CharIsLetter| |CharEQ| |CharNE| |CharLT| |CharLE|
- |CharLower| |CharUpper| |CharOrd| |CharNum| |CharCode0|
-
- |SFlo0| |SFlo1| |SFloMin| |SFloMax| |SFloEpsilon| |SFloIsZero|
- |SFloIsNeg| |SFloIsPos| |SFloEQ| |SFloNE| |SFloLT|
- |SFloLE| |SFloNegate| |SFloPrev| |SFloNext| |SFloPlus|
- |SFloMinus| |SFloTimes| |SFloTimesPlus| |SFloDivide|
- |SFloRPlus| |SFloRMinus| |SFloRTimes| |SFloRTimesPlus|
- |SFloRDivide| |SFloDissemble| |SFloAssemble|
-
- |DFlo0| |DFlo1| |DFloMin| |DFloMax| |DFloEpsilon|
- |DFloIsZero| |DFloIsNeg| |DFloIsPos| |DFloEQ| |DFloNE|
- |DFloLT| |DFloLE| |DFloNegate| |DFloPrev| |DFloNext|
- |DFloPlus| |DFloMinus| |DFloTimes| |DFloTimesPlus|
- |DFloDivide| |DFloRPlus| |DFloRMinus| |DFloRTimes|
- |DFloRTimesPlus| |DFloRDivide| |DFloDissemble|
- |DFloAssemble| |Byte0| |Byte1| |ByteMin| |ByteMax|
-
- |HInt0| |HInt1| |HIntMin| |HIntMax|
-
- |SInt0| |SInt1| |SIntMin| |SIntMax| |SIntIsZero| |SIntIsNeg|
- |SIntIsPos| |SIntIsEven| |SIntIsOdd| |SIntEQ| |SIntNE|
- |SIntLT| |SIntLE| |SIntNegate| |SIntPrev| |SIntNext|
- |SIntPlus| |SIntMinus| |SIntTimes| |SIntTimesPlus|
- |SIntMod| |SIntQuo| |SIntRem| |SIntDivide| |SIntGcd|
- |SIntPlusMod| |SIntMinusMod| |SIntTimesMod|
- |SIntTimesModInv| |SIntLength| |SIntShiftUp|
- |SIntShiftDn| |SIntBit| |SIntNot| |SIntAnd| |SIntOr|
-
- |WordTimesDouble| |WordDivideDouble| |WordPlusStep| |WordTimesStep|
-
- |BInt0| |BInt1| |BIntIsZero| |BIntIsNeg| |BIntIsPos| |BIntIsEven|
- |BIntIsOdd| |BIntIsSingle| |BIntEQ| |BIntNE| |BIntLT|
- |BIntLE| |BIntNegate| |BIntPrev| |BIntNext| |BIntPlus|
- |BIntMinus| |BIntTimes| |BIntTimesPlus| |BIntMod|
- |BIntQuo| |BIntRem| |BIntDivide| |BIntGcd|
- |BIntSIPower| |BIntBIPower| |BIntLength| |BIntShiftUp|
- |BIntShiftDn| |BIntBit|
-
- |PtrNil| |PtrIsNil| |PtrMagicEQ| |PtrEQ| |PtrNE|
-
- |FormatSFlo| |FormatDFlo| |FormatSInt| |FormatBInt|
- |fgetss| |fputss|
-
- |ScanSFlo| |ScanDFlo| |ScanSInt| |ScanBInt|
-
- |SFloToDFlo| |DFloToSFlo| |ByteToSInt| |SIntToByte| |HIntToSInt|
- |SIntToHInt| |SIntToBInt| |BIntToSInt| |SIntToSFlo|
- |SIntToDFlo| |BIntToSFlo| |BIntToDFlo| |PtrToSInt|
- |SIntToPtr| |BoolToSInt|
-
- |ArrToSFlo| |ArrToDFlo| |ArrToSInt| |ArrToBInt|
-
- |PlatformRTE| |PlatformOS| |Halt|
-
- |Clos| |CCall| |ClosEnv| |ClosFun| |SetClosEnv| |SetClosFun|
- |DDecl| |RNew| |ANew| |RElt| |EElt| |AElt| |Lex|
- |SetLex| |SetRElt| |SetAElt| |SetEElt|
- |FoamFree|
-
- declare-prog declare-type
- defprog ignore-var block-return
- defspecials file-exports file-imports
- typed-let foamfn |FoamProg| |alloc-prog-info|
-
- |MakeEnv| |EnvLevel| |EnvNext| |EnvInfo| |SetEnvInfo| |FoamEnvEnsure|
- |MakeLit| |MakeLevel|
- |printNewLine| |printChar| |printString| |printSInt| |printBInt| |printSFloat|
- |printDFloat| 
- |strLength| |formatSInt| |formatBInt| |formatSFloat| |formatDFloat|
- 
- |ProgHashCode| |SetProgHashCode| |ProgFun|
- |G-mainArgc| |G-mainArgv|
- |stdinFile| |stdoutFile| |stderrFile|
- |fputc| |fputs| |foamfun|
-
-
- ;; trancendental functions
- |sqrt| |pow| |log| |exp| |sin| |cos| |tan| |sinh| |cosh| |tanh| 
- |asin| |acos| |atan| |atan2|
-
- ;; debuging
- |fiSetDebugVar| |fiGetDebugVar| |fiSetDebugger| |fiGetDebugger|
- ;; Blatent hacks..
- |G-stdoutVar| |G-stdinVar| |G-stderrVar|
- |fiStrHash|
-
- axiomxl-file-init-name
- axiomxl-global-name
-))
-
-
-;; type defs for Foam types
-(deftype |Char| () 'string-char)
-(deftype |Clos| () 'list)
-(deftype |Bool| () '(member t nil))
-(deftype |Byte| () 'unsigned-byte)
-(deftype |HInt| () '(integer #.(- (expt 2 15)) #.(1- (expt 2 15))))
-(deftype |SInt| () 'fixnum)
-
-#+:AKCL
-(deftype |BInt| () t)
-#-:AKCL
-(deftype |BInt| () 'integer)
-
-(deftype |SFlo| () 'short-float)
-
-#+:AKCL
-(deftype |DFlo| () t)
-#-:AKCL
-(deftype |DFlo| () 'long-float)
-
-(deftype |Level| () t) ;; structure??
-
-(deftype |Nil|  () t)
-(deftype |Ptr|  () t)
-(deftype |Word| () t)
-(deftype |Arr|  () t)
-(deftype |Record| () t)
-(deftype |Arb|  () t)
-(deftype |Env|  () t)  ; (or cons nil)
-
-;; default values for types.  Used as initializers in lets.
-(defconstant |CharInit| (the |Char| '#\Space))
-(defconstant |ClosInit| (the |Clos| nil))
-(defconstant |BoolInit| (the |Bool| nil))
-(defconstant |ByteInit| (the |Byte| 0))
-(defconstant |HIntInit| (the |HInt| 0))
-(defconstant |SIntInit| (the |SInt| 0))
-(defconstant |BIntInit| (the |BInt|  0))
-(defconstant |SFloInit| (the |SFlo| 0.0s0))
-(defconstant |DFloInit| (the |DFlo| 0.0d0))
-(defconstant |PtrInit|  (the |Ptr|  nil))
-(defconstant |ArrInit|  (the |Arr|  nil))
-(defconstant |RecordInit|  (the |Record|  nil))
-(defconstant |WordInit| (the |Word| nil))
-(defconstant |ArbInit|  (the |Arb|  nil))
-(defconstant |EnvInit|  (the |Env|  nil))
-(defconstant |LevelInit|  (the |Level|  nil))
-
-;; Bool values are assumed to be either 'T or NIL.
-;; Thus non-nil values are canonically represented.
-(defmacro |BoolFalse|     () NIL)
-(defmacro |BoolTrue|      () 'T)
-(defmacro |BoolNot|      (x) `(NOT ,x))
-(defmacro |BoolAnd|    (x y)
-  `(let ((xx ,x) (yy ,y)) (AND xx yy))) ;; force evaluation of both args
-(defmacro |BoolOr|     (x y)
-  `(let ((xx ,x) (yy ,y)) (OR  xx yy))) ;; force evaluation of both args
-(defmacro |BoolEQ|     (x y) `(EQ ,x ,y))
-(defmacro |BoolNE|     (x y) `(NOT (|BoolEQ| ,x ,y)))
-
-(defconstant |CharCode0| (code-char 0))
-
-(defmacro |CharSpace|    () '#\Space)
-(defmacro |CharNewline|  () '#\Newline)
-(defmacro |CharMin|      ()  |CharCode0|)
-(defmacro |CharMax|      ()  #.(code-char (1- char-code-limit)))
-(defmacro |CharIsDigit| (x) `(if (DIGIT-CHAR-P (the |Char| ,x)) 't nil))
-(defmacro |CharIsLetter|(x) `(ALPHA-CHAR-P (the |Char| ,x)))
-(defmacro |CharLT|    (x y) `(CHAR< (the |Char| ,x) (the |Char| ,y)))
-(defmacro |CharLE|    (x y) `(CHAR<= (the |Char| ,x) (the |Char| ,y)))
-(defmacro |CharEQ|    (x y) `(CHAR= (the |Char| ,x) (the |Char| ,y)))
-(defmacro |CharNE|    (x y) `(CHAR/= (the |Char| ,x) (the |Char| ,y)))
-(defmacro |CharLower|   (x) `(the |Char| (CHAR-DOWNCASE (the |Char| ,x))))
-(defmacro |CharUpper|   (x) `(the |Char| (CHAR-UPCASE (the |Char| ,x))))
-(defmacro |CharOrd|     (x) `(CHAR-INT (the |Char| ,x)))
-(defmacro |CharNum|     (x) `(INT-CHAR (the |SInt| ,x)))
-
-(defmacro |SFlo0|        () 0.0s0)
-(defmacro |SFlo1|        () 1.0s0)
-(defmacro |SFloMin|      () most-negative-short-float)
-(defmacro |SFloMax|      () most-positive-short-float)
-(defmacro |SFloEpsilon|  () short-float-epsilon)
-(defmacro |SFloIsZero|  (x) `(zerop (the |SFlo| ,x)))
-(defmacro |SFloIsNeg|   (x) `(minusp (the |SFlo| ,x)))
-(defmacro |SFloIsPos|   (x) `(plusp (the |SFlo| ,x)))
-(defmacro |SFloLT|    (x y) `(< (the |SFlo| ,x) (the |SFlo| ,y)))
-(defmacro |SFloLE|    (x y) `(<= (the |SFlo| ,x) (the |SFlo| ,y)))
-(defmacro |SFloEQ|    (x y) `(= (the |SFlo| ,x) (the |SFlo| ,y)))
-(defmacro |SFloNE|    (x y) `(/= (the |SFlo| ,x) (the |SFlo| ,y)))
-(defmacro |SFloNegate|  (x) `(the |SFlo| (- (the |SFlo| ,x))))
-(defmacro |SFloNext|        (x) `(the |SFlo| (+ (the |SFlo| ,x) 1.0s0)))
-(defmacro |SFloPrev|        (x) `(the |SFlo| (- (the |SFlo| ,x) 1.0s0)))
-(defmacro |SFloMinus| (x y) `(the |SFlo| (- (the |SFlo| ,x) (the |SFlo| ,y))))
-(defmacro |SFloTimes| (x y) `(the |SFlo| (* (the |SFlo| ,x) (the |SFlo| ,y))))
-(defmacro |SFloTimesPlus| (x y z)
-  `(the |SFlo| (+ (* (the |SFlo| ,x) (the |SFlo| ,y)) (the |SFlo| ,z))))
-(defmacro |SFloDivide|        (x y) `(the |SFlo| (/ (the |SFlo| ,x) (the |SFlo| ,y))))
-(defmacro |SFloRPlus|  (x y r) `(error "unimplemented operation -- SFloRPlus"))
-(defmacro |SFloRMinus| (x y r) `(error "unimplemented operation -- SFloRTimes"))
-(defmacro |SFloRTimes| (x y r) `(error "unimplemented operation -- SFloRTimes"))
-(defmacro |SFloRTimesPlus| (x y z r) `(error "unimplemented operation -- SFloTimesPlus"))
-(defmacro |SFloRDivide|(x y r) `(error "unimplemented operation -- SFloDivide"))
-(defmacro |SFloDissemble| (x) `(error "unimplemented operation -- SFloDissemble"))
-(defmacro |SFloAssemble| (w x y) `(error "unimplemented operation -- SFloAssemble"))
-
-;; These are no longer foam builtins
-;;(defmacro |SFloRound|    (x) `(the |BInt| (round (the |SFlo| ,x))))
-;;(defmacro |SFloTruncate| (x) `(the |BInt| (truncate (the |SFlo| ,x))))
-;;(defmacro |SFloFloor|    (x) `(the |BInt| (floor (the |SFlo| ,x))))
-;;(defmacro |SFloCeiling|  (x) `(the |BInt| (ceiling (the |SFlo| ,x))))
-
-(defmacro |DFlo0|         () 0.0d0)
-(defmacro |DFlo1|         () 1.0d0)
-(defmacro |DFloMin|       () most-negative-long-float)
-(defmacro |DFloMax|       () most-positive-long-float)
-(defmacro |DFloEpsilon|   () long-float-epsilon)
-(defmacro |DFloIsZero|   (x) `(zerop (the |DFlo| ,x)))
-(defmacro |DFloIsNeg|    (x) `(minusp (the |DFlo| ,x)))
-(defmacro |DFloIsPos|    (x) `(plusp (the |DFlo| ,x)))
-(defmacro |DFloLE|     (x y) `(<= (the |DFlo| ,x) (the |DFlo| ,y)))
-(defmacro |DFloEQ|     (x y) `(= (the |DFlo| ,x) (the |DFlo| ,y)))
-(defmacro |DFloLT|     (x y) `(< (the |DFlo| ,x) (the |DFlo| ,y)))
-(defmacro |DFloNE|     (x y) `(/= (the |DFlo| ,x) (the |DFlo| ,y)))
-(defmacro |DFloNegate|   (x) `(the |DFlo| (- (the |DFlo| ,x))))
-(defmacro |DFloNext|          (x) `(the |DFlo| (+ (the |DFlo| ,x) 1.0d0)))
-(defmacro |DFloPrev|         (x) `(the |DFlo| (- (the |DFlo| ,x) 1.0d0)))
-(defmacro |DFloPlus|   (x y) `(the |DFlo| (+ (the |DFlo| ,x) (the |DFlo| ,y))))
-(defmacro |DFloMinus|  (x y) `(the |DFlo| (- (the |DFlo| ,x) (the |DFlo| ,y))))
-(defmacro |DFloTimes|  (x y) `(the |DFlo| (* (the |DFlo| ,x) (the |DFlo| ,y))))
-(defmacro |DFloDivide| (x y) `(the |DFlo| (/ (the |DFlo| ,x) (the |DFlo| ,y))))
-(defmacro |DFloTimesPlus| (x y z)
-  `(the |DFlo| (+ (* (the |DFlo| ,x) (the |DFlo| ,y)) (the |DFlo| ,z))))
-
-(defmacro |DFloRPlus|  (x y r) `(error "unimplemented operation -- DFloRPlus"))
-(defmacro |DFloRMinus| (x y r) `(error "unimplemented operation -- DFloRTimes"))
-(defmacro |DFloRTimes| (x y r) `(error "unimplemented operation -- DFloRTimes"))
-(defmacro |DFloRTimesPlus| (x y z r) `(error "unimplemented operation -- DFloTimesPlus"))
-(defmacro |DFloRDivide|(x y r) `(error "unimplemented operation -- DFloDivide"))
-
-(defmacro |DFloDissemble| (x) `(error "unimplemented operation -- DFloDissemble"))
-(defmacro |DFloAssemble| (w x y z) `(error "unimplemented operation -- DFloAssemble"))
-
-;; Not builtins anymore
-;;(defmacro |DFloRound|    (x) `(the |BInt| (round (the |DFlo| ,x))))
-;;(defmacro |DFloTruncate| (x) `(the |BInt| (truncate (the |DFlo| ,x))))
-;;(defmacro |DFloFloor|    (x) `(the |BInt| (floor (the |DFlo| ,x))))
-;;(defmacro |DFloCeiling|  (x) `(the |BInt| (ceiling (the |DFlo| ,x))))
-
-(defmacro |Byte0|         () 0)
-(defmacro |Byte1|         () 1)
-(defmacro |ByteMin|       () 0)
-(defmacro |ByteMax|       () 255)
-
-(defmacro |HInt0|         () 0)
-(defmacro |HInt1|         () 1)
-(defmacro |HIntMin|       () #.(- (expt 2 15)))
-(defmacro |HIntMax|       () #.(1- (expt 2 15)))
-
-(defmacro |SInt0|         () 0)
-(defmacro |SInt1|         () 1)
-(defmacro |SIntMin|       () `(the |SInt| most-negative-fixnum))
-(defmacro |SIntMax|       () `(the |SInt| most-positive-fixnum))
-(defmacro |SIntIsZero|   (x) `(zerop (the |SInt| ,x)))
-(defmacro |SIntIsNeg|    (x) `(minusp (the |SInt| ,x)))
-(defmacro |SIntIsPos|    (x) `(plusp (the |SInt| ,x)))
-(defmacro |SIntIsEven|   (x) `(evenp (the |SInt| ,x)))
-(defmacro |SIntIsOdd|    (x) `(oddp (the |SInt| ,x)))
-(defmacro |SIntLE|     (x y) `(<= (the |SInt| ,x) (the |SInt| ,y)))
-(defmacro |SIntEQ|     (x y) `(= (the |SInt| ,x) (the |SInt| ,y)))
-(defmacro |SIntLT|     (x y) `(< (the |SInt| ,x) (the |SInt| ,y)))
-(defmacro |SIntNE|     (x y) `(/= (the |SInt| ,x) (the |SInt| ,y)))
-(defmacro |SIntNegate|   (x) `(the |SInt| (- (the |SInt| ,x))))
-(defmacro |SIntPrev|      (x) `(the |SInt| (1- (the |SInt| ,x))))
-(defmacro |SIntNext|      (x) `(the |SInt| (1+ (the |SInt| ,x))))
-(defmacro |SIntPlus|   (x y) `(the |SInt| (+ (the |SInt| ,x) (the |SInt| ,y))))
-(defmacro |SIntMinus|  (x y) `(the |SInt| (- (the |SInt| ,x) (the |SInt| ,y))))
-(defmacro |SIntTimes|  (x y) `(the |SInt| (* (the |SInt| ,x) (the |SInt| ,y))))
-(defmacro |SIntTimesPlus| (x y z)
-  `(the |SInt| (+ (* (the |SInt| ,x) (the |SInt| ,y)) (the |SInt| ,z))))
-(defmacro |SIntMod|    (x y) `(the |SInt| (mod(the |SInt| ,x)(the |SInt| ,y))))
-(defmacro |SIntQuo|    (x y)
-  `(the |SInt| (values (truncate (the |SInt| ,x) (the |SInt| ,y)))))
-(defmacro |SIntRem|    (x y) `(the |SInt| (rem(the |SInt| ,x)(the |SInt| ,y))))
-;;! declare all let variables
-(defmacro |SIntDivide| (x y) `(truncate (the |SInt| ,x) (the |SInt| ,y)))
-(defmacro |SIntGcd|  (x y) `(the |SInt| (gcd (the |SInt| ,x) (the |SInt| ,y))))
-
-(defmacro |SIntPlusMod|  (a b c)
-  `(the |SInt| (mod (+ (the |SInt| ,a) (the |SInt| ,b)) (the |SInt| ,c))))
-(defmacro |SIntMinusMod| (a b c)
-  `(the |SInt| (mod (- (the |SInt| ,a) (the |SInt| ,b)) (the |SInt| ,c))))
-(defmacro |SIntTimesMod| (a b c)
-  `(the |SInt| (mod (* (the |SInt| ,a) (the |SInt| ,b)) (the |SInt| ,c))))
-;; |SIntTimesModInv|
-(defmacro |SIntLength|  (x) `(the |SInt| (integer-length (the |SInt| ,x))))
-(defmacro |SIntShiftUp| (x y) `(the |SInt| (ash (the |SInt| ,x) (the |SInt| ,y))))
-(defmacro |SIntShiftDn| (x y) `(the |SInt| (ash (the |SInt| ,x) (the |SInt| (- (the |SInt| ,y))))))
-
-(defmacro |SIntBit|   (x i)
-  `(let ((xx ,x) (ii ,i)) (declare (type |SInt| xx ii)) (logbitp ii xx)))
-(defmacro |SIntNot|     (a) `(the |SInt| (lognot (the |SInt| ,a))))
-(defmacro |SIntAnd|   (a b)
-  `(the |SInt| (logand (the |SInt| ,a) (the |SInt| ,b))))
-(defmacro |SIntOr|    (a b)
-  `(the |SInt| (logior (the |SInt| ,a) (the |SInt| ,b))))
-
-;; WordTimesDouble
-;; WordDivideDouble
-;; WordPlusStep
-;; WordTimesStep
-
-(defmacro |SIntSIPower| (x y)
-  `(let ((xx ,x) (yy ,y))
-     (declare (type |SInt| xx yy))
-     (if (minusp yy) (error "cannot raise integers to negative powers")
-       (the |SInt| (expt xx yy)))))
-(defmacro |SIntBIPower| (x y)
-  `(let ((xx ,x) (yy ,y))
-     (declare (type |SInt| xx))
-     (declare (type |BInt| yy))
-     (if (minusp yy) (error "cannot raise integers to negative powers")
-       (the |SInt| (expt xx yy)))))
-
-(defmacro |BInt0|        () 0)
-(defmacro |BInt1|        () 1)
-(defmacro |BIntIsZero|  (x) `(zerop (the |BInt| ,x)))
-(defmacro |BIntIsNeg|   (x) `(minusp(the |BInt| ,x)))
-(defmacro |BIntIsPos|   (x) `(plusp (the |BInt| ,x)))
-(defmacro |BIntIsEven|  (x) `(evenp (the |BInt| ,x)))
-(defmacro |BIntIsOdd|   (x) `(oddp  (the |BInt| ,x)))
-(defmacro |BIntIsSingle| (x) `(typep ,x '|SInt|))
-(defmacro |BIntLE|    (x y) `(<= (the |BInt| ,x) (the |BInt| ,y)))
-(defmacro |BIntEQ|    (x y) `(=  (the |BInt| ,x) (the |BInt| ,y)))
-(defmacro |BIntLT|    (x y) `(<  (the |BInt| ,x) (the |BInt| ,y)))
-(defmacro |BIntNE|    (x y) `(/= (the |BInt| ,x) (the |BInt| ,y)))
-(defmacro |BIntNegate|  (x) `(the |BInt| (-   (the |BInt| ,x))))
-(defmacro |BIntPrev|     (x) `(the |BInt| (1-  (the |BInt| ,x))))
-(defmacro |BIntNext|     (x) `(the |BInt| (1+  (the |BInt| ,x))))
-(defmacro |BIntPlus|  (x y) `(the |BInt| (+ (the |BInt| ,x) (the |BInt| ,y))))
-(defmacro |BIntMinus| (x y) `(the |BInt| (- (the |BInt| ,x) (the |BInt| ,y))))
-(defmacro |BIntTimes| (x y) `(the |BInt| (* (the |BInt| ,x) (the |BInt| ,y))))
-(defmacro |BIntTimesPlus| (x y z)
-  `(the |BInt| (+ (* (the |BInt| ,x) (the |BInt| ,y)) (the |BInt| ,z))))
-(defmacro |BIntMod|   (x y) `(the |BInt| (mod(the |BInt| ,x)(the |BInt| ,y))))
-(defmacro |BIntQuo|   (x y)
-  `(the |BInt| (values (truncate (the |BInt| ,x) (the |BInt| ,y)))))
-(defmacro |BIntRem|   (x y)
-  `(the |BInt| (rem (the |BInt| ,x) (the |BInt| ,y))))
-(defmacro |BIntDivide| (x y) `(truncate (the |BInt| ,x) (the |BInt| ,y)))
-(defmacro |BIntGcd|   (x y)
-  `(the |BInt| (gcd (the |BInt| ,x) (the |BInt| ,y))))
-(defmacro |BIntSIPower| (x y)
-  `(let ((xx ,x) (yy ,y))
-     (declare (type |BInt| xx))
-     (declare (type |SInt| yy))
-     (if (minusp yy) (error "cannot raise integers to negative powers")
-       (the |BInt| (expt xx yy)))))
-(defmacro |BIntBIPower| (x y)
-  `(let ((xx ,x) (yy ,y))
-     (declare (type |BInt| xx))
-     (declare (type |BInt| yy))
-     (if (minusp yy) (error "cannot raise integers to negative powers")
-       (the |BInt| (expt xx yy)))))
-(defmacro |BIntLength|  (x) `(the |SInt| (integer-length (the |BInt| ,x))))
-(defmacro |BIntShiftUp| (x y) `(the |BInt| (ash (the |BInt| ,x)(the |SInt| ,y))))
-(defmacro |BIntShiftDn| (x y) `(the |BInt| (ash (the |BInt| ,x) (the |SInt| (- (the |SInt| ,y))))))
-
-(defmacro |BIntBit|   (x i)
-  `(let ((xx ,x) (ii ,i)) (declare (type |BInt| xx) (type |SInt| ii))
-        (logbitp ii xx)))
-;;(defmacro |BIntAbs|     (x) `(the |BInt| (abs (the |BInt| ,x))))
-
-(defmacro |PtrNil|      () ())
-(defmacro |PtrIsNil|   (x) `(NULL ,x))
-(defmacro |PtrEQ|    (x y) `(eq ,x ,y))
-(defmacro |PtrNE|    (x y) `(not (eq ,x ,y)))
-
-;; |WordTimesDouble| |WordDivideDouble| |WordPlusStep| |WordTimesStep|
-
-
-;;(defvar |FoamOutputString|
-;;  (make-array 80 :element-type 'string-char :adjustable t :fill-pointer 0))
-(defun |FormatNumber| (c arr i)
-  (setq str (format nil "~a" c))
-  (replace arr str :start1 i)
-;;  (incf i (fill-pointer |FoamOutputString|))
-;;  (if (> i (length arr)) (error "not enough space"))
-;;  (setf (fill-pointer |FoamOutputString|) 0)
-  (+ i (length str)))
-
-(defmacro |FormatSFlo| (c arr i) `(|FormatNumber| ,c ,arr ,i))
-(defmacro |FormatDFlo| (c arr i) `(|FormatNumber| ,c ,arr ,i))
-(defmacro |FormatSInt| (c arr i) `(|FormatNumber| ,c ,arr ,i))
-(defmacro |FormatBInt| (c arr i) `(|FormatNumber| ,c ,arr ,i))
-
-(set-syntax-from-char (code-char 0) #\space) ;;makes null char act like white space
-
-(defmacro |ScanSFlo| (arr i)
-  `(read-from-string ,arr nil (|SFlo0|)
-                     :start ,i :preserve-whitespace t))
-(defmacro |ScanDFlo| (arr i)
-  `(read-from-string ,arr nil (|DFlo0|)
-                     :start ,i :preserve-whitespace t))
-(defmacro |ScanSInt| (arr i)
-  `(parse-integer ,arr :start ,i :junk-allowed t))
-(defmacro |ScanBInt| (arr i)
-  `(parse-integer ,arr :start ,i :junk-allowed t))
-
-;; 18/8/93: Evil bug in genfoam---nil generated.
-(defmacro hacked-the (type x)
-  (if x `(the ,type ,x) `(the ,type 0)))
-
-(defmacro |ByteToSInt| (x) `(coerce (hacked-the |Byte| ,x) '|SInt|))
-(defmacro |BoolToSInt|  (x) `(if ,x 1 0))
-(defmacro |BIntToSInt| (x) `(hacked-the |SInt| ,x))
-(defmacro |SIntToBInt| (x) `(hacked-the |BInt| ,x))
-(defmacro |SIntToSFlo| (x) `(coerce (hacked-the |SInt| ,x) '|SFlo|))
-(defmacro |SIntToByte| (x) `(coerce (hacked-the |SInt| ,x) '|Byte|))
-(defmacro |SIntToHInt| (x) `(coerce (hacked-the |SInt| ,x) '|HInt|))
-(defmacro |SIntToDFlo| (x) `(coerce (hacked-the |SInt| ,x) '|DFlo|))
-(defmacro |BIntToSFlo| (x) `(coerce (hacked-the |BInt| ,x) '|SFlo|))
-(defmacro |BIntToDFlo| (x) `(coerce (hacked-the |BInt| ,x) '|DFlo|))
-(defmacro |ArrToSFlo|  (x) `(read-from-string ,x nil (|SFlo0|)))
-(defmacro |ArrToDFlo|  (x) `(read-from-string ,x nil (|DFlo0|)))
-(defmacro |ArrToSInt|  (x) `(read-from-string ,x nil (|SInt0|)))
-(defmacro |ArrToBInt|  (x) `(read-from-string ,x nil (|BInt0|)))
-
-(defmacro |Clos| (x y) `(let ((xx ,x) (yy #',y)) (cons yy xx)))
-(defmacro |ClosFun| (x) `(car ,x))
-(defmacro |ClosEnv| (x) `(cdr ,x))
-(defmacro |SetClosFun| (x y) `(rplaca ,x ,y))
-(defmacro |SetClosEnv| (x y) `(rplacd ,x ,y))
-
-(defmacro |MakeEnv|         (x y) 
-  `(let ((xx ,x) (yy ,y)) (cons yy (cons xx nil))))
-
-(defmacro |EnvLevel|        (x)   `(car ,x))
-(defmacro |EnvNext|        (x)   `(cadr ,x))
-(defmacro |EnvInfo|        (x)   `(if (and (consp ,x) (consp (cdr ,x)))
-                                   (cddr ,x) nil))
-(defmacro |SetEnvInfo|        (x val)   `(rplacd (cdr  ,x) ,val))
-
-#+:CCL
-(defmacro |FoamEnvEnsure| (e) 
-  `(let ((einf (|EnvInfo| ,e)))
-     (if einf (|CCall| einf) nil)))
-#-:CCL
-(defmacro |FoamEnvEnsure| (e) 
-  `(if (|EnvInfo| ,e) (|CCall| (|EnvInfo| ,e)) nil))
-
-(defconstant null-char-string (string (code-char 0)))
-(defmacro |MakeLit| (s) `(concatenate 'string ,s null-char-string))
-
-;; functions are represented by symbols, with the symbol-value being some
-;; information, and the symbol-function is the function itself.
-;; 1-valued lisp should represent progs as either a pair or defstruct.
-
-(defmacro |FunProg| (x) x)
-
-(defstruct FoamProgInfoStruct
-  (funcall nil :type function)
-  (hashval 0   :type |SInt|))
-
-(defun |ProgHashCode| (x)
-  (let ((aa (foam-function-info x)))
-    (if (null aa) 0
-      (FoamProgInfoStruct-hashval aa))))
-
-(defun |SetProgHashCode| (x y)
-  (let ((aa (foam-function-info x)))
-    (if (null aa) 0
-      (setf (FoamProgInfoStruct-hashval aa) y))))
-
-;; In a hurry -> O(n) lookup..
-(defvar foam-function-list ())
-
-(defun alloc-prog-info (fun val)
-  (setq foam-function-list (cons (cons fun val) foam-function-list)))
-
-(defun foam-function-info (fun)
-  (let ((xx (assoc fun foam-function-list)))
-    (if (null xx) nil
-      (cdr xx))))
-
-;; Accessors and constructors
-(defmacro |DDecl| (name &rest args)
-  (setf (get name 'struct-args) args)
-  `(defstruct ,name ,@(insert-types args)))
-
-(defun insert-types (slots)
-  (mapcar #'(lambda (slot)
-              `(,(car slot) ,(type2init (cadr slot))
-                :type ,(cadr slot)))
-          slots))
-
-(defmacro |RNew| (name)
-  (let* ((struct-args (get name 'struct-args))
-         (init-args (mapcar #'(lambda (x) (type2init (cadr x)))
-                            struct-args))
-         (count (length struct-args)))
-    (cond ((> count 2) `(vector ,@init-args))
-          ((= count 2) `(cons ,@init-args))
-          (t `(list ,@init-args)))))
-
-(defmacro |RElt| (name field index rec)
-  (let ((count (length (get name 'struct-args))))
-    (cond ((> count 2) `(svref ,rec ,index))
-          ((= count 2)
-           (if (zerop index) `(car ,rec) `(cdr ,rec)))
-          (t `(car ,rec)))))
-
-(defmacro |SetRElt| (name field index rec val)
-  (let ((count (length (get name 'struct-args))))
-    (cond ((> count 2) `(setf (svref ,rec ,index) ,val))
-          ((= count 2)
-           (if (zerop index) `(rplaca ,rec ,val) `(rplacd ,rec ,val)))
-          (t `(rplaca ,rec ,val)))))
-
-(defmacro |AElt| (name index)
-  `(aref ,name ,index))
-
-(defmacro |SetAElt| (name index val)
-  `(setf (aref ,name ,index) ,val))
-
-(defmacro |MakeLevel| (builder struct)
-  (if (get struct 'struct-args)
-      `(,builder)
-    'nil))
-
-
-(defmacro |EElt| (accessor n var)
-  `(,accessor ,var))
-
-(defmacro |SetEElt| (accessor n var val)
-  `(setf (,accessor ,var) ,val))
-
-(defmacro |Lex| (accessor n var)
-  `(,accessor ,var))
-
-(defmacro |SetLex| (accessor n var val)
-  `(progn ;; (print ',accessor)
-          (setf (,accessor ,var) ,val)))
-
-;; Atomic arguments for fun don't need a let to hold the fun.
-;; CCall's with arguments need a let to hold the prog and the env.
-(defmacro |CCall| (fun &rest args)
-  (cond ((and (atom fun) (null args))
-         `(funcall (|FunProg| (|ClosFun| ,fun)) (|ClosEnv| ,fun)))
-        ((null args)
-         `(let ((c ,fun))
-            (funcall (|FunProg| (|ClosFun| c)) (|ClosEnv| c))))
-        ((atom fun)
-         `(let ((fun (|FunProg| (|ClosFun| ,fun)))
-                (env (|ClosEnv| ,fun)))
-            (funcall fun ,@args env)))
-        (t
-         `(let ((c ,fun))
-            (let ((fun (|FunProg| (|ClosFun| c)))
-                  (env (|ClosEnv| c)))
-              (funcall fun ,@args env))))))
-
-(defmacro |FoamFree| (o) '())
-
-;; macros for defining things
-
-(defmacro declare-prog (name-result params)
-  `(proclaim '(function ,(car name-result) ,params ,@(cdr name-result))))
-
-(defmacro declare-type (name type)
-  `(proclaim '(type ,name ,type)))
-
-(defmacro defprog (type temps &rest body)
-  `(progn (defun ,(caar type) ,(mapcar #'car (cadr type))
-            (typed-let ,temps ,@body))
-          (alloc-prog-info #',(caar type) (make-FoamProgInfoStruct))))
-
-(defmacro defspecials (&rest lst)
-  `(proclaim '(special ,@lst)))
-
-(defmacro top-level-define (&rest junk)
-  `(setq ,@junk))
-
-;; Runtime macros
-
-;; control transfer
-(defmacro block-return (obj val)
-  `(return-from ,obj ,val))
-
-#-:CCL
-(defmacro typed-let (letvars &rest forms)
-  `(let ,(mapcar #'(lambda (var)
-                     (list (car var) (type2init (cadr var))))
-                 letvars )
-     (declare ,@(mapcar #'(lambda (var)
-                            (list 'type (cadr var) (car var)))
-                        letvars))
-     ,@forms))
-
-#+:CCL
-(defmacro typed-let (letvars &rest forms)
-  `(let ,(mapcar #'(lambda (var) (car var))
-                 letvars )
-     ,@forms))
-
-(defmacro cases (&rest junk)
-  `(case ,@junk))
-
-
-;;; Boot macros
-(defmacro file-exports (lst)
-  `(eval-when (load eval)
-              (when (fboundp 'process-export-entry)
-                    (mapcar #'process-export-entry ,lst))
-        nil))
-
-(defmacro file-imports (lst)
-  `(eval-when (load eval)
-              (when (fboundp 'process-import-entry)
-                    (mapcar #'process-import-entry ,lst))
-        nil))
-
-(defmacro ignore-var (var)
-  `(declare (ignore ,var)))
-
-(defmacro |ANew| (type size)
-  (if (eq type '|Char|)
-      `(make-string ,size)
-      `(make-array ,size
-               :element-type ',type
-               :initial-element ,(type2init type))))
-
-#-:CCL
-(defun type2init (x)
-  (cond
-   ((eq x '|Char|) '|CharInit|)
-   ((eq x '|Clos|) '|ClosInit|)
-   ((eq x '|Bool|) '|BoolInit|)
-   ((eq x '|Byte|) '|ByteInit|)
-   ((eq x '|HInt|) '|HIntInit|)
-   ((eq x '|SInt|) '|SIntInit|)
-   ((eq x '|BInt|) '|BIntInit|)
-   ((eq x '|SFlo|) '|SFloInit|)
-   ((eq x '|DFlo|) '|DFloInit|)
-   ((eq x '|Ptr|) '|PtrInit|)
-   ((eq x '|Word|) '|WordInit|)
-   ((eq x '|Arr|) '|ArrInit|)
-   ((eq x '|Record|) '|RecordInit|)
-   ((eq x '|Arb|) '|ArbInit|)
-   ((eq x '|Env|) '|EnvInit|)
-   ((eq x '|Level|) '|LevelInit|)
-   ((eq x '|Nil|) nil)
-   (t nil)))
-
-#+:CCL
-(defun type2init (x) nil)
-
-;; opsys interface
-(defvar |G-mainArgc| 0)
-(defvar |G-mainArgv| (vector))
-(defmacro |stdinFile| () '*standard-input*)
-(defmacro |stdoutFile| () '*standard-output*)
-(defmacro |stderrFile| () '*error-output*)
-
-;; Format functions
-;needs to stop when it gets a null character
-(defun |strLength| (s)
-  (dotimes (i (length s))
-           (let ((c (schar s i)))
-             (if (char= c |CharCode0|)
-                 (return i))))
-  (length s))
-
-(defun |formatSInt| (n) (format nil "~D" n))
-(defun |formatBInt| (n) (format nil "~D" n))
-(defun |formatSFloat| (x) (format nil "~G" x))
-(defun |formatDFloat| (x) (format nil "~G" x))
-
-
-;; Printing functions
-(defun |printNewLine| (cs) (terpri cs))
-(defun |printChar|  (cs c) (princ c cs))
-
-;needs to stop when it gets a null character
-(defun |printString| (cs s)
-  (dotimes (i (length s))
-           (let ((c (schar s i)))
-             (if (char= c |CharCode0|)
-                 (return i)
-               (princ c cs)))))
-
-(defun |printSInt| (cs n) (format cs "~D" n))
-(defun |printBInt| (cs n) (format cs "~D" n))
-(defun |printSFloat| (cs x) (format cs "~G" x))
-(defun |printDFloat| (cs x) (format cs "~G" x))
-
-(defun |fputc| (si cs)
-  (|printChar| cs (code-char si))
-  si)
-
-(defun |fputs| (s cs)
-  (|printString| cs s))
-
-;; read a string into s starting at pos i1, ending at i2
-;; we should probably macro-out cases where args are constant
-
-;; fill s[i1..i2] with a null terminated string read from
-;; the given input stream
-(defun |fgetss| (s i1 i2 f)
-  (labels ((aux (n)
-                (if (= n i2)
-                    (progn (setf (schar s n) (code-char 0))
-                           (- n i1))
-                  (let ((c (read-char f)))
-                    (setf (schar s n) c)
-                    (if (equal c #\newline)
-                        (progn (setf (char s (+ n 1)) (code-char 0))
-                               (- n i1))
-                      (aux (+ n 1)))))))
-          (aux i1)))
-                
-;; write s[i1..i2) to the output stream f
-;; stop on any null characters
-
-(defun |fputss| (s i1 i2 f)
-  (labels ((aux (n)
-                (if (= n i2) (- n i1)
-                  (let ((c (schar s n)))
-                    (if  (equal (code-char 0) c)
-                         (- n i1)
-                      (progn (princ c f)        
-                             (aux (+ n 1))))))))
-          (setq i2 (if (minusp i2) (|strLength| s)
-                     (min i2 (|strLength| s))))
-          (aux i1)))
-
-;; function for compiling and loading from lisp
-
-(defun compile-as-file (file &optional (opts nil))
-  (let* ((path (pathname file))
-         (name (pathname-name path))
-         (dir (pathname-directory path))
-         (type (pathname-type path))
-         (lpath (make-pathname :name name :type "l"))
-         (cpath (make-pathname :name name :type "o")))
-    (if (null type)
-        (setq path (make-pathname :directory dir :name name :type "as")))
-    (if opts
-        (system (format nil "axiomxl ~A -Flsp ~A" opts (namestring path)))
-        (system (format nil "axiomxl -Flsp ~A" (namestring path))))
-    (compile-file (namestring lpath))
-    (load (namestring cpath))))
-
-
-;; given the name of a file (a string), return the name of the AXIOM-XL function
-;; that initialises the file.
-(defun axiomxl-file-init-name (filename)
-  (intern (format nil "G-~a" (string-downcase filename)) 'foam-user))
-
-;; given the name of the file, id name, and hashcode, return the
-;; AXIOM-XL identifier for that object
-
-(defun axiomxl-global-name (file id hashcode)
-  (intern (format nil "G-~a_~a_~9,'0d" (string-downcase file) id hashcode) 'foam-user))
-
-;; double float elementary functions
-(defmacro |sqrt| (x) `(sqrt ,x))
-(defmacro |pow| (a b) `(expt ,a ,b))
-(defmacro |log| (a)  `(log ,a))
-(defmacro |exp| (a) `(exp ,a))
-
-(defmacro |sin| (a) `(sin ,a))
-(defmacro |cos| (a) `(cos ,a))
-(defmacro |tan| (a) `(tan ,a))
-
-(defmacro |sinh| (a) `(sinh ,a))
-(defmacro |cosh| (a) `(cosh ,a))
-(defmacro |tanh| (a) `(tanh ,a))
-
-(defmacro |asin| (a) `(asin ,a))
-(defmacro |acos| (a) `(acos ,a))
-(defmacro |atan| (a) `(atan ,a))
-(defmacro |atan2| (a b) `(atan ,a ,b))
-
-(defun |Halt| (n) 
-  (error (cond ((= n 101) "System Error: Unfortunate use of dependant type")
-               ((= n 102) "User error: Reached a 'never'")
-               ((= n 103) "User error: Bad union branch")
-               ((= n 104) "User error: Assertion failed")
-               (t (format nil "Unknown halt condition ~a" n)))))
-;; debuging
-(defvar *foam-debug-var* nil)
-(defun |fiGetDebugVar| () *foam-debug-var*)
-
-(defun |fiSetDebugVar| (x) (setq *foam-debug-var* x))
-(defun |fiSetDebugger| (x y) ())
-(defun |fiGetDebugger| (x) ())
-
-;; Output ports
-(setq |G-stdoutVar| t)
-(setq |G-stdinVar| t)
-(setq |G-stderrVar| t)
-
-;; !! Not portable !!
-(defun foam::|fiStrHash| (x) (boot::|hashString| (subseq x 0 (- (length x) 1))))
-
-;; These three functions check that two cons's contain identical entries.
-;; We use EQL to test numbers and EQ everywhere else.  If the structure 
-;; of the two items is different, or any elements are different, we
-;; return false.
-(defmacro |politicallySound| (u v) 
- `(or (eql ,u ,v) (eq ,u ,v)))
-
-(defun |PtrMagicEQ| (u v) 
-;; I find (as-eg4) that these buggers can be numbers 
- (cond ( (or (NULL u) (NULL v)) nil)
-       ( (and (ATOM u) (ATOM v)) (eql u v))
-       ( (or (ATOM u) (ATOM v)) nil)
-;; removed for Aldor integration
-;;       ( (equal (length u) (length v)) (|magicEq1| u v)) 
-       (t (eq u v) )))
-
-(defun |magicEq1| (u v)
- (cond ( (and (atom u) (atom v)) (|politicallySound| u v))
-       ( (or (atom u) (atom v)) nil)
-       ( (|politicallySound| (car u) (car v)) (|magicEq1| (cdr u) (cdr v)))
-       nil ))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/format.lisp.pamphlet axiom-20111101/src/interp/format.lisp.pamphlet
--- axiom-20110301a/src/interp/format.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/format.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -114,7 +114,7 @@
         (SPADLET |y| (CDADR |mm|))
         (SPADLET |z| (CDDR |mm|))
         (COND
-          ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|partial|)
+          ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|partial|)
                 (PROGN (SPADLET |pred'| (QCDR |pred|)) 'T))
            (SPADLET |b| (CAR |sig|)) (SPADLET |c| (CDR |sig|))
            (SPADLET |sig|
@@ -157,9 +157,9 @@
   (PROG (|lp| |op| |ISTMP#1| |a| |ISTMP#2|)
     (RETURN
       (SEQ (COND
-             ((OR (AND (PAIRP |p|) (EQ (QCAR |p|) 'AND)
+             ((OR (AND (CONSP |p|) (EQ (QCAR |p|) 'AND)
                        (PROGN (SPADLET |lp| (QCDR |p|)) 'T))
-                  (AND (PAIRP |p|) (EQ (QCAR |p|) 'OR)
+                  (AND (CONSP |p|) (EQ (QCAR |p|) 'OR)
                        (PROGN (SPADLET |lp| (QCDR |p|)) 'T)))
               (UNIONQ (PROG (G166148)
                         (SPADLET G166148 NIL)
@@ -176,15 +176,15 @@
                                          (|listOfPredOfTypePatternIds|
                                           |p1|))))))))
                       NIL))
-             ((AND (PAIRP |p|)
+             ((AND (CONSP |p|)
                    (PROGN
                      (SPADLET |op| (QCAR |p|))
                      (SPADLET |ISTMP#1| (QCDR |p|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)))))
                    (BOOT-EQUAL |op| '|ofType|))
               (COND ((|isPatternVar| |a|) (CONS |a| NIL)) ('T NIL)))
@@ -200,20 +200,20 @@
   (PROG (|ISTMP#1| |a| |ISTMP#2| |b| |predl|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|isDomain|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|isDomain|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               'T)
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'AND)
                    (PROGN (SPADLET |predl| (QCDR |pred|)) 'T))
               (MKPF (PROG (G166191)
                       (SPADLET G166191 NIL)
@@ -227,7 +227,7 @@
                              (NREVERSE0 G166191))
                           (SEQ (EXIT (COND
                                        ((NULL
-                                         (AND (PAIRP |x|)
+                                         (AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|isDomain|)))
                                         (SETQ G166191
                                          (CONS |x| G166191)))))))))
@@ -249,23 +249,23 @@
       (SEQ (PROGN
              (SPADLET |alist|
                       (COND
-                        ((AND (PAIRP |pred|)
+                        ((AND (CONSP |pred|)
                               (EQ (QCAR |pred|) '|isDomain|)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCDR |pred|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |a| (QCAR |ISTMP#1|))
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |b|
                                            (QCAR |ISTMP#2|))
                                           'T))))))
                          (CONS (CONS |a| |b|) |alist|))
-                        ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
+                        ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'AND)
                               (PROGN
                                 (SPADLET |predl| (QCDR |pred|))
                                 'T))
@@ -281,18 +281,18 @@
                                   (NREVERSE0 G166251))
                                (SEQ (EXIT
                                      (COND
-                                       ((AND (PAIRP |pred|)
+                                       ((AND (CONSP |pred|)
                                          (EQ (QCAR |pred|) '|isDomain|)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCDR |pred|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (SPADLET |a|
                                                (QCAR |ISTMP#1|))
                                               (SPADLET |ISTMP#2|
                                                (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQ (QCDR |ISTMP#2|)
                                                 NIL)
                                                (PROGN
@@ -389,19 +389,19 @@
   (PROG (|preds| |ISTMP#1| |ISTMP#2| D1 D |npreds|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|isDomain|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|isDomain|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'D)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'D)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET D (QCAR |ISTMP#2|))
                                    'T))))))
               (CONS D (CONS NIL NIL)))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'AND)
                    (PROGN (SPADLET |preds| (QCDR |pred|)) 'T))
               (SPADLET D NIL)
               (SEQ (DO ((G166369 |preds| (CDR G166369)) (|p| NIL))
@@ -410,16 +410,16 @@
                             (NULL (NULL D)))
                         NIL)
                      (SEQ (EXIT (COND
-                                  ((AND (PAIRP |p|)
+                                  ((AND (CONSP |p|)
                                     (EQ (QCAR |p|) '|isDomain|)
                                     (PROGN
                                       (SPADLET |ISTMP#1| (QCDR |p|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCAR |ISTMP#1|) 'D)
                                        (PROGN
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCDR |ISTMP#2|) NIL)
                                           (PROGN
                                             (SPADLET D1
@@ -506,11 +506,11 @@
            (SPADLET |sl| (|substInOrder| |alist| |sl|)))
           ((PROGN
              (SPADLET |ISTMP#1| (|removeIsDomainD| |pred|))
-             (AND (PAIRP |ISTMP#1|)
+             (AND (CONSP |ISTMP#1|)
                   (PROGN
                     (SPADLET D (QCAR |ISTMP#1|))
                     (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                    (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                    (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                          (PROGN (SPADLET |npred| (QCAR |ISTMP#2|)) 'T)))))
            (SPADLET |pred| (MSUBST D 'D |npred|))
            (SPADLET |target| (MSUBST D 'D |target|))
@@ -567,10 +567,10 @@
   (PROG (|ISTMP#1| |a| |b| |y|)
     (RETURN
       (COND
-        ((AND (PAIRP |alist|)
+        ((AND (CONSP |alist|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |alist|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |b| (QCDR |ISTMP#1|))
@@ -771,7 +771,7 @@
                (SEQ (EXIT (PROGN
                             (SPADLET |pred|
                                      (COND
-                                       ((AND (PAIRP |predtail|)
+                                       ((AND (CONSP |predtail|)
                                          (PROGN
                                            (SPADLET |p|
                                             (QCAR |predtail|))
@@ -912,7 +912,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |x|) (CONS '|  | (CONS |x| NIL)))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
@@ -943,17 +943,17 @@
       (COND
         ((AND (STRINGP |x|) (BOOT-EQUAL |x| "*")) '|"*"|)
         ((ATOM |x|) (|formatOpSymbol| |x| NIL))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|:|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|:|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |op| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCAR |ISTMP#3|) '|Mapping|)
                                    (PROGN
                                      (SPADLET |sig| (QCDR |ISTMP#3|))
@@ -997,7 +997,7 @@
   (PROG (|y| |z| |y1| |z1|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |y| (QCAR |x|))
                 (SPADLET |z| (QCDR |x|))
@@ -1275,7 +1275,7 @@
 ;      null argl => [ '":" ]
 ;      null rest argl => [ '":", form2String1 first argl ]
 ;      formDecl2String(argl.0,argl.1)
-;  op = "#" and PAIRP argl and LISTP CAR argl =>
+;  op = "#" and CONSP argl and LISTP CAR argl =>
 ;    STRINGIMAGE SIZE CAR argl
 ;  op = 'Join => formJoin2String argl
 ;  op = "ATTRIBUTE" => form2String1 first argl
@@ -1431,7 +1431,7 @@
                           (CONS (|form2String1| (CAR |argl|)) NIL)))
                    ('T
                     (|formDecl2String| (ELT |argl| 0) (ELT |argl| 1)))))
-                ((AND (BOOT-EQUAL |op| '|#|) (PAIRP |argl|)
+                ((AND (BOOT-EQUAL |op| '|#|) (CONSP |argl|)
                       (LISTP (CAR |argl|)))
                  (STRINGIMAGE (SIZE (CAR |argl|))))
                 ((BOOT-EQUAL |op| '|Join|) (|formJoin2String| |argl|))
@@ -1525,7 +1525,7 @@
 ;    x=$EmptyMode or x=$quadSymbol => specialChar 'quad
 ;    STRINGP(x) or IDENTP(x) => x
 ;    x is [ ='_:,:.] => form2String1 x
-;    isValidType(m) and PAIRP(m) and
+;    isValidType(m) and CONSP(m) and
 ;      (GETDATABASE(first(m),'CONSTRUCTORKIND) = 'domain) =>
 ;        (x' := coerceInteractive(objNewWrap(x,m),$OutputForm)) =>
 ;          form2String1 objValUnwrap x'
@@ -1540,9 +1540,9 @@
                    (BOOT-EQUAL |x| |$quadSymbol|))
                (EXIT (|specialChar| '|quad|)))
            (IF (OR (STRINGP |x|) (IDENTP |x|)) (EXIT |x|))
-           (IF (AND (PAIRP |x|) (EQUAL (QCAR |x|) '|:|))
+           (IF (AND (CONSP |x|) (EQUAL (QCAR |x|) '|:|))
                (EXIT (|form2String1| |x|)))
-           (IF (AND (AND (|isValidType| |m|) (PAIRP |m|))
+           (IF (AND (AND (|isValidType| |m|) (CONSP |m|))
                     (BOOT-EQUAL
                         (GETDATABASE (CAR |m|) 'CONSTRUCTORKIND)
                         '|domain|))
@@ -1619,11 +1619,11 @@
            (SPADLET |argl| (NREVERSE (CDR |LETTMP#1|))) |u|)
           ('T (SPADLET |argl| NIL) (SPADLET |last| (CONS |op| |u|))))
         (COND
-          ((AND (PAIRP |last|)
+          ((AND (CONSP |last|)
                 (PROGN
                   (SPADLET |id| (QCAR |last|))
                   (SPADLET |ISTMP#1| (QCDR |last|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN (SPADLET |r| (QCDR |ISTMP#1|)) 'T)))
                 (|member| |id| '(|mkCategory| CATEGORY)))
            (COND
@@ -1670,17 +1670,17 @@
       (SEQ (COND
              ((BOOT-EQUAL |key| '|mkCategory|)
               (COND
-                ((AND (PAIRP |r|)
+                ((AND (CONSP |r|)
                       (PROGN
                         (SPADLET |opPart| (QCAR |r|))
                         (SPADLET |ISTMP#1| (QCDR |r|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |catPart| (QCAR |ISTMP#1|))
                                'T))))
                  (SPADLET |opString|
                           (COND
-                            ((AND (PAIRP |opPart|)
+                            ((AND (CONSP |opPart|)
                                   (EQUAL (QCAR |opPart|) 'LIST)
                                   (PROGN
                                     (SPADLET |u| (QCDR |opPart|))
@@ -1721,7 +1721,7 @@
                             ('T NIL)))
                  (SPADLET |catString|
                           (COND
-                            ((AND (PAIRP |catPart|)
+                            ((AND (CONSP |catPart|)
                                   (EQUAL (QCAR |catPart|) 'LIST)
                                   (PROGN
                                     (SPADLET |u| (QCDR |catPart|))
@@ -1770,18 +1770,18 @@
                     (SEQ (EXIT (SETQ G167143
                                      (APPEND G167143
                                       (COND
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) 'SIGNATURE)
                                           (PROGN
                                             (SPADLET |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (PROGN
                                                (SPADLET |op|
                                                 (QCAR |ISTMP#1|))
                                                (SPADLET |ISTMP#2|
                                                 (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
+                                               (AND (CONSP |ISTMP#2|)
                                                 (EQ (QCDR |ISTMP#2|)
                                                  NIL)
                                                 (PROGN
@@ -1791,12 +1791,12 @@
                                          (|concat| '|%l|
                                           (|formatOpSignature| |op|
                                            |sig|)))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) 'ATTRIBUTE)
                                           (PROGN
                                             (SPADLET |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCDR |ISTMP#1|) NIL)
                                              (PROGN
                                                (SPADLET |a|
@@ -1848,10 +1848,10 @@
         (SPADLET |last| (CAR |LETTMP#1|))
         (SPADLET |argl| (NREVERSE (CDR |LETTMP#1|)))
         (COND
-          ((AND (PAIRP |last|) (EQ (QCAR |last|) 'CATEGORY)
+          ((AND (CONSP |last|) (EQ (QCAR |last|) 'CATEGORY)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |last|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |atsigList| (QCDR |ISTMP#1|))
                          'T))))
@@ -1913,61 +1913,61 @@
   (PROG (|s| |ISTMP#3| |l| |f| |tail| |y| |ISTMP#2| |ISTMP#1| |p|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'STEP)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'STEP)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |y| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |s| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (PROGN
                                      (SPADLET |l| (QCDR |ISTMP#3|))
                                      'T))))))))
          (SPADLET |tail|
                   (COND
-                    ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
+                    ((AND (CONSP |l|) (EQ (QCDR |l|) NIL)
                           (PROGN (SPADLET |f| (QCAR |l|)) 'T))
                      (|form2StringLocal| |f|))
                     ('T NIL)))
          (|concat| '|for | |y| '| in | |s| ".." |tail|))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|tails|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|tails|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          (|concat| '|tails | (|formatIterator| |y|)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|reverse|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|reverse|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          (|concat| '|reverse | (|formatIterator| |y|)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|\||)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|\||)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |y| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |p| (QCAR |ISTMP#2|)) 'T))))))
          (|concat| (|formatIterator| |y|) '| \| |
              (|form2StringLocal| |p|)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|until|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|until|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |p| (QCAR |ISTMP#1|)) 'T))))
          (|concat| '|until | (|form2StringLocal| |p|)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|while|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|while|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |p| (QCAR |ISTMP#1|)) 'T))))
          (|concat| '|while | (|form2StringLocal| |p|)))
         ('T (|systemErrorHere| '|formatIterator|))))))
@@ -2057,13 +2057,13 @@
 
 ;script2String s ==
 ;  null s => '""   -- just to be safe
-;  if not PAIRP s then s := [s]
+;  if not CONSP s then s := [s]
 ;  linearFormatForm(CAR s, CDR s)
 
 (DEFUN |script2String| (|s|)
   (COND
     ((NULL |s|) "")
-    ('T (COND ((NULL (PAIRP |s|)) (SPADLET |s| (CONS |s| NIL))))
+    ('T (COND ((NULL (CONSP |s|)) (SPADLET |s| (CONS |s| NIL))))
      (|linearFormatForm| (CAR |s|) (CDR |s|)))))
 
 ;linearFormatName x ==
@@ -2087,7 +2087,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |x|) |x|)
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
@@ -2095,7 +2095,7 @@
                    (ATOM |op|))
               (SPADLET |argPart|
                        (COND
-                         ((AND (PAIRP |argl|)
+                         ((AND (CONSP |argl|)
                                (PROGN
                                  (SPADLET |a| (QCAR |argl|))
                                  (SPADLET |l| (QCDR |argl|))
@@ -2386,7 +2386,7 @@
          (COND
            ((PROGN
               (SPADLET |ISTMP#1| (CAR |argl|))
-              (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '<)))
+              (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '<)))
             (|concat| |op| (CAR |argl|)))
            ('T
             (|concat| (|app2StringWrap| (|formWrapId| |op|) |linkInfo|)
@@ -2521,13 +2521,13 @@
   (PROG (|a| |ISTMP#2| |b| |ISTMP#3| |c| |s1| |fun| |ISTMP#1| |sig|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |s|) (EQ (QCAR |s|) 'QUOTE)
+             ((AND (CONSP |s|) (EQ (QCAR |s|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |s|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |s1| (QCAR |ISTMP#1|)) 'T))))
               (|formatPredParts| |s1|))
-             ((AND (PAIRP |s|) (EQ (QCAR |s|) 'LIST)
+             ((AND (CONSP |s|) (EQ (QCAR |s|) 'LIST)
                    (PROGN (SPADLET |s1| (QCDR |s|)) 'T))
               (PROG (G167753)
                 (SPADLET G167753 NIL)
@@ -2539,34 +2539,34 @@
                     (SEQ (EXIT (SETQ G167753
                                      (CONS (|formatPredParts| |s2|)
                                       G167753))))))))
-             ((AND (PAIRP |s|) (EQ (QCAR |s|) '|devaluate|)
+             ((AND (CONSP |s|) (EQ (QCAR |s|) '|devaluate|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |s|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |s1| (QCAR |ISTMP#1|)) 'T))))
               (|formatPredParts| |s1|))
-             ((AND (PAIRP |s|) (EQ (QCAR |s|) '|getDomainView|)
+             ((AND (CONSP |s|) (EQ (QCAR |s|) '|getDomainView|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |s|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |s1| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL))))))
               (|formatPredParts| |s1|))
-             ((AND (PAIRP |s|) (EQ (QCAR |s|) 'SUBST)
+             ((AND (CONSP |s|) (EQ (QCAR |s|) 'SUBST)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |s|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#3|))
@@ -2575,11 +2575,11 @@
                        (|formatPredParts|
                            (MSUBST (|formatPredParts| |a|) |b| |c|)))
               (COND
-                ((NULL (AND (PAIRP |s1|)
+                ((NULL (AND (CONSP |s1|)
                             (PROGN
                               (SPADLET |fun| (QCAR |s1|))
                               (SPADLET |ISTMP#1| (QCDR |s1|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL)
                                    (PROGN
                                      (SPADLET |sig| (QCAR |ISTMP#1|))
@@ -2647,19 +2647,19 @@
                 |form|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'IF)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |cond| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |thenClause|
                                     (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |elseClause|
@@ -2673,7 +2673,7 @@
                        (|concat| " else "
                            (|pred2English| |elseClause|)))
               (|concat| |c| |t| |e|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'AND)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'AND)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (SPADLET |tail|
                        (PROG (G167949)
@@ -2691,7 +2691,7 @@
                                           (|concat| (|bright| "and")
                                            (|pred2English| |x|))))))))))
               (|concat| (|pred2English| (CAR |l|)) |tail|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'OR)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'OR)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (SPADLET |tail|
                        (PROG (G167960)
@@ -2709,21 +2709,21 @@
                                           (|concat| (|bright| "or")
                                            (|pred2English| |x|))))))))))
               (|concat| (|pred2English| (CAR |l|)) |tail|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'NOT)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'NOT)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |l| (QCAR |ISTMP#1|)) 'T))))
               (|concat| "not " (|pred2English| |l|)))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -2731,15 +2731,15 @@
                    (|member| |op| '(|has| |ofCategory|)))
               (|concat| (|pred2English| |a|) '|%b| "has"
                   '|%d| (|form2String| (|abbreviate| |b|))))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -2749,25 +2749,25 @@
               (|concat| (|prefix2String0| (|formatPredParts| |a|))
                   '|%b| "has" '|%d|
                   (|prefix2String0| (|formatPredParts| |b|))))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T)))))
                    (|member| |op| '(|ofType| |getDomainView|)))
               (COND
-                ((AND (PAIRP |b|) (EQ (QCAR |b|) 'QUOTE)
+                ((AND (CONSP |b|) (EQ (QCAR |b|) 'QUOTE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |b|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |b'| (QCAR |ISTMP#1|))
@@ -2775,15 +2775,15 @@
                  (SPADLET |b| |b'|)))
               (|concat| (|pred2English| |a|) ": "
                   (|form2String| (|abbreviate| |b|))))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -2791,7 +2791,7 @@
                    (|member| |op| '(|isDomain| |domainEqual|)))
               (|concat| (|pred2English| |a|) " = "
                   (|form2String| (|abbreviate| |b|))))
-             ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) 'T)
+             ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) 'T)
                    (SPADLET |translation|
                             (LASSOC |op|
                                     '((< . " < ") (<= . " <= ")
@@ -2799,10 +2799,10 @@
                                       (= . " = ") (^= . " ^= ")))))
               (|concat| (|pred2English| |a|) |translation|
                   (|pred2English| |b|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'ATTRIBUTE)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'ATTRIBUTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |form| (QCAR |ISTMP#1|)) 'T))))
               (|concat| '|attribute: | (|form2String| |form|)))
              ('T (|form2String| |x|)))))))
@@ -2811,7 +2811,7 @@
 ;  STRINGP x => x
 ;  IDENTP x  => PNAME x
 ;  NULL x    => '""
-;  PAIRP  x  => STRCONC(object2String first x, object2String rest x)
+;  CONSP  x  => STRCONC(object2String first x, object2String rest x)
 ;  WRITE_-TO_-STRING x
 
 (DEFUN |object2String| (|x|)
@@ -2819,7 +2819,7 @@
     ((STRINGP |x|) |x|)
     ((IDENTP |x|) (PNAME |x|))
     ((NULL |x|) "")
-    ((PAIRP |x|)
+    ((CONSP |x|)
      (STRCONC (|object2String| (CAR |x|)) (|object2String| (CDR |x|))))
     ('T (WRITE-TO-STRING |x|))))
 
@@ -2855,7 +2855,7 @@
 ;--optARgL  ::= [ 0 or more arguments ] | nothing at all
 ;--optDbn   ::= ['dbN , databaseName ] | nothing at all
 ;pkey keyStuff ==
-;    if not PAIRP keyStuff then keyStuff := [keyStuff]
+;    if not CONSP keyStuff then keyStuff := [keyStuff]
 ;    allMsgs := ['" "]
 ;    while not null keyStuff repeat
 ;        dbN := NIL
@@ -2863,7 +2863,7 @@
 ;        key := first keyStuff
 ;        keyStuff := IFCDR keyStuff
 ;        next := IFCAR keyStuff
-;        while PAIRP next repeat
+;        while CONSP next repeat
 ;            if CAR next = 'dbN then dbN := CADR next
 ;            else argL := next
 ;            keyStuff  := IFCDR keyStuff
@@ -2877,7 +2877,7 @@
     (RETURN
       (SEQ (PROGN
              (COND
-               ((NULL (PAIRP |keyStuff|))
+               ((NULL (CONSP |keyStuff|))
                 (SPADLET |keyStuff| (CONS |keyStuff| NIL))))
              (SPADLET |allMsgs| (CONS " " NIL))
              (DO () ((NULL (NULL (NULL |keyStuff|))) NIL)
@@ -2887,7 +2887,7 @@
                             (SPADLET |key| (CAR |keyStuff|))
                             (SPADLET |keyStuff| (IFCDR |keyStuff|))
                             (SPADLET |next| (IFCAR |keyStuff|))
-                            (DO () ((NULL (PAIRP |next|)) NIL)
+                            (DO () ((NULL (CONSP |next|)) NIL)
                               (SEQ (EXIT
                                     (PROGN
                                       (COND
@@ -2924,34 +2924,34 @@
       (PROGN
         (SPADLET |p| (|ncParseFromString| |s|))
         (COND
-          ((NULL (AND (PAIRP |p|)
+          ((NULL (AND (CONSP |p|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCAR |p|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) '|$elt|)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |FloatDomain|
                                        (QCAR |ISTMP#2|))
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL)
                                        (EQ (QCAR |ISTMP#3|) '|float|)))))))
                       (PROGN
                         (SPADLET |ISTMP#4| (QCDR |p|))
-                        (AND (PAIRP |ISTMP#4|)
+                        (AND (CONSP |ISTMP#4|)
                              (PROGN
                                (SPADLET |x| (QCAR |ISTMP#4|))
                                (SPADLET |ISTMP#5| (QCDR |ISTMP#4|))
-                               (AND (PAIRP |ISTMP#5|)
+                               (AND (CONSP |ISTMP#5|)
                                     (PROGN
                                       (SPADLET |y| (QCAR |ISTMP#5|))
                                       (SPADLET |ISTMP#6|
                                        (QCDR |ISTMP#5|))
-                                      (AND (PAIRP |ISTMP#6|)
+                                      (AND (CONSP |ISTMP#6|)
                                        (EQ (QCDR |ISTMP#6|) NIL)
                                        (PROGN
                                          (SPADLET |z| (QCAR |ISTMP#6|))
@@ -2995,7 +2995,7 @@
   (PROG (|op| |argl|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
diff -Nru axiom-20110301a/src/interp/fortcall.lisp.pamphlet axiom-20111101/src/interp/fortcall.lisp.pamphlet
--- axiom-20110301a/src/interp/fortcall.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/fortcall.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -2703,7 +2703,7 @@
 ;  -- Take an AnonymousFunction, replace the bound variables by references to
 ;  -- elements of a vector, and compile it.
 ;  (first f) ^= "+->" => error "in multiToUnivariate: not an AnonymousFunction"
-;  if PAIRP CADR f then
+;  if CONSP CADR f then
 ;    vars := CDADR f -- throw away 'Tuple at start of variable list
 ;  else
 ;    vars := [CADR f]
@@ -2724,7 +2724,7 @@
               (|error| '|in multiToUnivariate: not an AnonymousFunction|))
              ('T
               (COND
-                ((PAIRP (CADR |f|)) (SPADLET |vars| (CDADR |f|)))
+                ((CONSP (CADR |f|)) (SPADLET |vars| (CDADR |f|)))
                 ('T (SPADLET |vars| (CONS (CADR |f|) NIL))))
               (SPADLET |body| (COPY-TREE (CADDR |f|)))
               (SPADLET |newVariable| (GENSYM))
@@ -2754,7 +2754,7 @@
 ;  -- Take a mapping into n functions of n variables, produce code which will
 ;  -- evaluate function and jacobian values.
 ;  (first f) ^= "+->" => error "in functionAndJacobian: not an AnonymousFunction"
-;  if PAIRP CADR f then
+;  if CONSP CADR f then
 ;    vars := CDADR f -- throw away 'Tuple at start of variable list
 ;  else
 ;    vars := [CADR f]
@@ -2793,7 +2793,7 @@
               (|error| '|in functionAndJacobian: not an AnonymousFunction|))
              ('T
               (COND
-                ((PAIRP (CADR |f|)) (SPADLET |vars| (CDADR |f|)))
+                ((CONSP (CADR |f|)) (SPADLET |vars| (CDADR |f|)))
                 ('T (SPADLET |vars| (CONS (CADR |f|) NIL))))
               (COND
                 ((NEQUAL (|#| |vars|) (|#| (CDADDR |f|)))
@@ -2903,7 +2903,7 @@
 ;  -- Take a mapping into n functions of m variables, produce code which will
 ;  -- evaluate function values.
 ;  (first f) ^= "+->" => error "in vectorOfFunctions: not an AnonymousFunction"
-;  if PAIRP CADR f then
+;  if CONSP CADR f then
 ;    vars := CDADR f -- throw away 'Tuple at start of variable list
 ;  else
 ;    vars := [CADR f]
@@ -2923,7 +2923,7 @@
               (|error| '|in vectorOfFunctions: not an AnonymousFunction|))
              ('T
               (COND
-                ((PAIRP (CADR |f|)) (SPADLET |vars| (CDADR |f|)))
+                ((CONSP (CADR |f|)) (SPADLET |vars| (CDADR |f|)))
                 ('T (SPADLET |vars| (CONS (CADR |f|) NIL))))
               (SPADLET |funBodies| (COPY-TREE (CDADDR |f|)))
               (SPADLET |newVariable| (GENSYM))
diff -Nru axiom-20110301a/src/interp/functor.lisp.pamphlet axiom-20111101/src/interp/functor.lisp.pamphlet
--- axiom-20110301a/src/interp/functor.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/functor.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -265,7 +265,7 @@
                                             (PROGN
                                               (SPADLET |ISTMP#1|
                                                (ELT |uu| |i|))
-                                              (AND (PAIRP |ISTMP#1|)
+                                              (AND (CONSP |ISTMP#1|)
                                                (PROGN
                                                  (SPADLET |v|
                                                   (QCDR |ISTMP#1|))
@@ -320,7 +320,7 @@
 ;          $Sublis:= [first Sublis,:$Sublis]
 ;          $WhereList:= [[name,:vv.j],:$WhereList]
 ;      vv.j:= name
-;    if PAIRP vv.j and REFVECP(u:=CDR vv.j) then
+;    if CONSP vv.j and REFVECP(u:=CDR vv.j) then
 ;      l:= ASSQ(keyItem u,Sublis)
 ;      if l
 ;         then name:= rest l
@@ -366,7 +366,7 @@
                                             |$WhereList|))))
                                (SETELT |vv| |j| |name|)))
                             (COND
-                              ((AND (PAIRP (ELT |vv| |j|))
+                              ((AND (CONSP (ELT |vv| |j|))
                                     (REFVECP
                                      (SPADLET |u| (CDR (ELT |vv| |j|)))))
                                (SPADLET |l|
@@ -405,7 +405,7 @@
   (PROG (|a| |b| |c1| |c2| |l|)
     (RETURN
       (COND
-        ((AND (PAIRP |item|)
+        ((AND (CONSP |item|)
               (PROGN
                 (SPADLET |a| (QCAR |item|))
                 (SPADLET |b| (QCDR |item|))
@@ -436,16 +436,16 @@
     (RETURN
       (COND
         ((NULL |a|) NIL)
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) 'QUOTE)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |a'| (QCAR |ISTMP#1|)) 'T))))
          (COND (|a'| |a|) ('T NIL)))
         ((BOOT-EQUAL |a| '$) (MKQ '$))
-        ((AND (PAIRP |a|) (EQ (QCDR |a|) NIL) (EQ (QCAR |a|) 'LIST))
+        ((AND (CONSP |a|) (EQ (QCDR |a|) NIL) (EQ (QCAR |a|) 'LIST))
          NIL)
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) 'LIST)) |a|)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) 'LIST)) |a|)
         ('T (CONS '|devaluate| (CONS |a| NIL)))))))
 
 ;getDomainView(domain,catform) ==
@@ -508,18 +508,18 @@
     (RETURN
       (SEQ (COND
              ((ATOM |x|) NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'LIST)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'LIST)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |b| (QCDR |ISTMP#1|))
                             'T)))
-                   (PAIRP |a|) (EQ (QCAR |a|) 'QUOTE)
+                   (CONSP |a|) (EQ (QCAR |a|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |a|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |a'| (QCAR |ISTMP#1|)) 'T))))
               (|union| (LIST (LIST |a'|))
                        (PROG (G166307)
@@ -535,12 +535,12 @@
                              (SEQ (EXIT (SETQ G166307
                                          (|union| G166307
                                           (|CategoriesFromGDC| |u|))))))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T)))
-                   (PAIRP |a|) (EQ (QCDR |a|) NIL)
+                   (CONSP |a|) (EQ (QCDR |a|) NIL)
                    (PROGN (SPADLET |b| (QCAR |a|)) 'T))
               (CONS |a| NIL)))))))
 
@@ -620,14 +620,14 @@
                                        (|compCategories1| |a|
                                         '(|SetCategory|))
                                        G166361)))))))))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|SubDomain|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|SubDomain|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET D (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL))))))
               (|compCategories| D))
              ('T (SPADLET |v| (|get| (CAR |u|) '|modemap| |$e|))
@@ -705,20 +705,20 @@
 ;NewbFVectorCopy(u,domName) ==
 ;  v:= GETREFV SIZE u
 ;  for i in 0..5 repeat v.i:= u.i
-;  for i in 6..MAXINDEX v | PAIRP u.i repeat v.i:= [Undef,[domName,i],:first u.i]
+;  for i in 6..MAXINDEX v | CONSP u.i repeat v.i:= [Undef,[domName,i],:first u.i]
 ;  v
 
 (DEFUN |NewbFVectorCopy| (|u| |domName|)
   (PROG (|v|)
     (RETURN
       (SEQ (PROGN
-             (SPADLET |v| (GETREFV (SIZE |u|)))
+             (SPADLET |v| (make-array (SIZE |u|)))
              (DO ((|i| 0 (QSADD1 |i|))) ((QSGREATERP |i| 5) NIL)
                (SEQ (EXIT (SETELT |v| |i| (ELT |u| |i|)))))
              (DO ((G166429 (MAXINDEX |v|)) (|i| 6 (+ |i| 1)))
                  ((> |i| G166429) NIL)
                (SEQ (EXIT (COND
-                            ((PAIRP (ELT |u| |i|))
+                            ((CONSP (ELT |u| |i|))
                              (SETELT |v| |i|
                                      (CONS |Undef|
                                       (CONS
@@ -779,25 +779,25 @@
     (RETURN
       (SEQ (COND
              ((ATOM |x|) |x|)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               |x|)
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (EQ (QCAR |x|) '|DomainSubstitutionMacro|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |parms| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |body| (QCAR |ISTMP#2|))
                                    'T))))))
               (|optFunctorBody|
                   (|DomainSubstitutionFunction| |parms| |body|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'LIST)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'LIST)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (COND
                 ((NULL |l|) NIL)
@@ -852,10 +852,10 @@
                                 NIL)))
                    ((BOOT-EQUAL |l| (CDR |x|)) |x|)
                    ('T (CONS 'LIST |l|))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'PROGN)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'PROGN)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (CONS 'PROGN (|optFunctorPROGN| |l|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'COND)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'COND)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (SPADLET |l|
                        (PROG (G166526)
@@ -875,7 +875,8 @@
                                              (|optFunctorBody,CondClause|
                                               |u|)
                                              G166526))))))))))
-              (SPADLET |l| (EFFACE '('T) |l|))
+              (SPADLET |l|
+                (delete '('T) |l| :count 1 :test #'equal))
               (COND
                 ((NULL |l|) NIL)
                 ((BOOT-EQUAL (CAAR |l|) ''T)
@@ -902,6 +903,99 @@
                                      (CONS (|optFunctorBody| |u|)
                                       G166542)))))))))))))
 
+;DomainSubstitutionFunction(parameters,body) ==
+;  --see definition of DomainSubstitutionMacro in SPAD LISP
+;  if parameters then
+;    (body:= Subst(parameters,body)) where
+;      Subst(parameters,body) ==
+;        ATOM body =>
+;          MEMQ(body,parameters) => MKQ body
+;          body
+;        MEMBER(body,parameters) =>
+;          g:=GENSYM()
+;          $extraParms:=PUSH([g,:body],$extraParms)
+;           --Used in SetVector12 to generate a substitution list
+;           --bound in buildFunctor
+;           --For categories, bound and used in compDefineCategory
+;          MKQ g
+;        first body="QUOTE" => body
+;        CONSP $definition and
+;            isFunctor first body and
+;              first body ^= first $definition
+;          =>  ['QUOTE,optimize body]
+;        [Subst(parameters,u) for u in body]
+;  not (body is ["Join",:.]) => body
+;  atom $definition => body
+;  null rest $definition => body
+;           --should not bother if it will only be called once
+;  name:= INTERN STRCONC(KAR $definition,";CAT")
+;  SETANDFILE(name,nil)
+;  body:= ["COND",[name],['(QUOTE T),['SETQ,name,body]]]
+;  body
+
+(DEFUN |DomainSubstitutionFunction,Subst| (|parameters| |body|)
+  (PROG (|g|)
+  (declare (special |$definition| |$extraParms|))
+    (RETURN
+      (SEQ (IF (ATOM |body|)
+               (EXIT (SEQ (IF (member |body| |parameters|)
+                              (EXIT (MKQ |body|)))
+                          (EXIT |body|))))
+           (IF (|member| |body| |parameters|)
+               (EXIT (SEQ (SPADLET |g| (GENSYM))
+                          (SPADLET |$extraParms|
+                                   (PUSH (CONS |g| |body|)
+                                    |$extraParms|))
+                          (EXIT (MKQ |g|)))))
+           (IF (BOOT-EQUAL (CAR |body|) 'QUOTE) (EXIT |body|))
+           (IF (AND (AND (CONSP |$definition|)
+                         (|isFunctor| (CAR |body|)))
+                    (NEQUAL (CAR |body|) (CAR |$definition|)))
+               (EXIT (CONS 'QUOTE (CONS (|optimize| |body|) NIL))))
+           (EXIT (PROG (G170613)
+                   (SPADLET G170613 NIL)
+                   (RETURN
+                     (DO ((G170618 |body| (CDR G170618)) (|u| NIL))
+                         ((OR (ATOM G170618)
+                              (PROGN (SETQ |u| (CAR G170618)) NIL))
+                          (NREVERSE0 G170613))
+                       (SEQ (EXIT (SETQ G170613
+                                        (CONS
+                                         (|DomainSubstitutionFunction,Subst|
+                                          |parameters| |u|)
+                                         G170613))))))))))))
+
+(DEFUN |DomainSubstitutionFunction| (|parameters| |body|)
+  (PROG (|name|)
+  (declare (special |$definition|))
+    (RETURN
+      (PROGN
+        (COND
+          (|parameters|
+              (SPADLET |body|
+                       (|DomainSubstitutionFunction,Subst| |parameters|
+                           |body|))))
+        (COND
+          ((NULL (AND (CONSP |body|) (EQ (QCAR |body|) '|Join|)))
+           |body|)
+          ((ATOM |$definition|) |body|)
+          ((NULL (CDR |$definition|)) |body|)
+          ('T
+           (SPADLET |name|
+                    (INTERN (STRCONC (KAR |$definition|) '|;CAT|)))
+           (SETANDFILE |name| NIL)
+           (SPADLET |body|
+                    (CONS 'COND
+                          (CONS (CONS |name| NIL)
+                                (CONS (CONS ''T
+                                       (CONS
+                                        (CONS 'SETQ
+                                         (CONS |name|
+                                          (CONS |body| NIL)))
+                                        NIL))
+                                      NIL))))
+           |body|))))))
+
 ;optFunctorBodyQuotable u ==
 ;  null u => true
 ;  NUMBERP u => true
@@ -914,7 +1008,7 @@
     ((NULL |u|) 'T)
     ((NUMBERP |u|) 'T)
     ((ATOM |u|) NIL)
-    ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)) 'T)
+    ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)) 'T)
     ('T NIL)))
 
 ;optFunctorBodyRequote u ==
@@ -927,10 +1021,10 @@
     (RETURN
       (COND
         ((ATOM |u|) |u|)
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
          |v|)
         ('T (|systemErrorHere| "optFunctorBodyRequote"))))))
@@ -947,7 +1041,7 @@
   (PROG (|x| |l'|)
     (RETURN
       (COND
-        ((AND (PAIRP |l|)
+        ((AND (CONSP |l|)
               (PROGN
                 (SPADLET |x| (QCAR |l|))
                 (SPADLET |l'| (QCDR |l|))
@@ -972,7 +1066,7 @@
   (PROG (|ISTMP#1| |y| |l| |l'|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'COND)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'COND)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T)
                    (PROG (G166604)
                      (SPADLET G166604 'T)
@@ -984,10 +1078,10 @@
                             G166604)
                          (SEQ (EXIT (SETQ G166604
                                      (AND G166604
-                                      (AND (PAIRP |x|)
+                                      (AND (CONSP |x|)
                                        (PROGN
                                          (SPADLET |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |y|
@@ -995,12 +1089,12 @@
                                             'T)))
                                        (|worthlessCode| |y|))))))))))
               'T)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'PROGN)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'PROGN)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (COND
                 ((NULL (SPADLET |l'| (|optFunctorPROGN| |l|))) 'T)
                 ('T NIL)))
-             ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
+             ((AND (CONSP |x|) (EQ (QCDR |x|) NIL)
                    (EQ (QCAR |x|) 'LIST))
               'T)
              ((NULL |x|) 'T)
@@ -1193,7 +1287,7 @@
              (SPADLET |l| (CDDR |cp|))
              |cp|
              (SEQ (IF (BOOT-EQUAL |cond| 'T) (EXIT |cp|))
-                  (IF (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|or|)
+                  (IF (AND (CONSP |cond|) (EQ (QCAR |cond|) '|or|)
                            (PROGN (SPADLET |x| (QCDR |cond|)) 'T))
                       (EXIT (SEQ (IF (PROG (G166762)
                                        (SPADLET G166762 NIL)
@@ -1218,17 +1312,17 @@
                                                 |u| |subst|))))))))
                                      (EXIT (CONS |a| (CONS 'T |l|))))
                                  (EXIT NIL))))
-                  (IF (AND (AND (PAIRP |cond|)
+                  (IF (AND (AND (CONSP |cond|)
                                 (EQ (QCAR |cond|) '|has|)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |cond|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |nam|
                                           (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCDR |ISTMP#2|) NIL)
                                           (PROGN
                                             (SPADLET |b|
@@ -1238,12 +1332,12 @@
                       (EXIT (SEQ (SPADLET |ev|
                                           (SEQ
                                            (IF
-                                            (AND (PAIRP |b|)
+                                            (AND (CONSP |b|)
                                              (EQ (QCAR |b|) 'ATTRIBUTE)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |b|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -1254,12 +1348,12 @@
                                              (|HasAttribute|
                                               (CDR |val|) |c|)))
                                            (IF
-                                            (AND (PAIRP |b|)
+                                            (AND (CONSP |b|)
                                              (EQ (QCAR |b|) 'SIGNATURE)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |b|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -1311,14 +1405,14 @@
   (declare (special |$QuickCode|))
     (RETURN
       (COND
-        ((AND (PAIRP |instantiator|)
+        ((AND (CONSP |instantiator|)
               (EQ (QCAR |instantiator|) '|DomainSubstitutionMacro|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |instantiator|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |body| (QCAR |ISTMP#2|))
                               'T))))))
@@ -1345,14 +1439,14 @@
     (RETURN
       (PROGN
         (COND
-          ((AND (PAIRP |x|) (EQ (QCAR |x|) '|DomainSubstitutionMacro|)
+          ((AND (CONSP |x|) (EQ (QCAR |x|) '|DomainSubstitutionMacro|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |x|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |parms| (QCAR |ISTMP#1|))
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (PROGN
                                 (SPADLET |body| (QCAR |ISTMP#2|))
@@ -1360,7 +1454,7 @@
            (SPADLET |x| (|DomainSubstitutionFunction| |parms| |body|))
            (SPADLET |x| (SUBLIS |$extraParms| |x|))))
         (COND
-          ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|))
+          ((AND (CONSP |x|) (EQ (QCAR |x|) '|Join|))
            (CONS '|eval| (CONS (CONS 'QUOTE (CONS |x| NIL)) NIL)))
           ('T |x|))))))
 
@@ -1387,23 +1481,23 @@
     (RETURN
       (SEQ (COND
              ((ATOM |x|) (|mkDevaluate| |x|))
-             ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
+             ((AND (CONSP |x|) (EQ (QCDR |x|) NIL)
                    (EQ (QCAR |x|) '|Join|))
               NIL)
-             ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
+             ((AND (CONSP |x|) (EQ (QCDR |x|) NIL)
                    (EQ (QCAR |x|) 'LIST))
               NIL)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'CATEGORY)) (MKQ |x|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|mkCategory|))
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'CATEGORY)) (MKQ |x|))
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|mkCategory|))
               (MKQ |x|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|:|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|:|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |selector| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |dom| (QCAR |ISTMP#2|))
@@ -1413,7 +1507,7 @@
                           (CONS (MKQ |selector|)
                                 (CONS (|mkDomainConstructor| |dom|)
                                       NIL)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Record|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|Record|)
                    (PROGN (SPADLET |argl| (QCDR |x|)) 'T))
               (CONS 'LIST
                     (CONS (MKQ '|Record|)
@@ -1432,7 +1526,7 @@
                                        (CONS
                                         (|mkDomainConstructor| |y|)
                                         G166872))))))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|Join|)
                    (PROGN (SPADLET |argl| (QCDR |x|)) 'T))
               (CONS 'LIST
                     (CONS (MKQ '|Join|)
@@ -1451,13 +1545,13 @@
                                        (CONS
                                         (|mkDomainConstructor| |y|)
                                         G166887))))))))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|call|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|call|)
                    (PROGN (SPADLET |argl| (QCDR |x|)) 'T))
               (CONS 'MKQ (CONS (|optCall| |x|) NIL)))
-             ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
+             ((AND (CONSP |x|) (EQ (QCDR |x|) NIL)
                    (PROGN (SPADLET |op| (QCAR |x|)) 'T))
               (MKQ |x|))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
@@ -1673,14 +1767,14 @@
   (PROG (|ISTMP#1| |ISTMP#2| |body| |data|)
     (RETURN
       (COND
-        ((AND (PAIRP |instantiator|)
+        ((AND (CONSP |instantiator|)
               (EQ (QCAR |instantiator|) '|DomainSubstitutionMacro|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |instantiator|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |body| (QCAR |ISTMP#2|))
                               'T))))))
@@ -1965,11 +2059,11 @@
               (COND
                 ((PROGN
                    (SPADLET |ISTMP#1| (|getmode| (|opOf| |base|) |$e|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (EQ (QCAR |ISTMP#1|) '|Mapping|)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |target| (QCAR |ISTMP#2|))
                                  (SPADLET |formalArgModes|
@@ -2074,23 +2168,23 @@
                                             (CADDR |code|))
                                            |sofar|))
                           (EXIT 'T))))
-           (EXIT (IF (AND (AND (PAIRP |code|)
+           (EXIT (IF (AND (AND (CONSP |code|)
                                (PROGN
                                  (SPADLET |x| (QCAR |code|))
                                  (SPADLET |ISTMP#1| (QCDR |code|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (PROGN
                                         (SPADLET |name|
                                          (QCAR |ISTMP#1|))
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (PROGN
                                            (SPADLET |number|
                                             (QCAR |ISTMP#2|))
                                            (SPADLET |ISTMP#3|
                                             (QCDR |ISTMP#2|))
-                                           (AND (PAIRP |ISTMP#3|)
+                                           (AND (CONSP |ISTMP#3|)
                                             (EQ (QCDR |ISTMP#3|) NIL)
                                             (PROGN
                                               (SPADLET |u'|
@@ -2175,7 +2269,7 @@
                                           NIL))
                                         (SETQ G167375
                                          (CONS |u| G167375))))))))))
-                (SPADLET |copyvec| (GETREFV (PLUS 1 |n|)))
+                (SPADLET |copyvec| (make-array (PLUS 1 |n|)))
                 (DO ((G167387 |code| (CDR G167387)) (|u| NIL))
                     ((OR (ATOM G167387)
                          (PROGN (SETQ |u| (CAR G167387)) NIL))
@@ -2372,10 +2466,10 @@
              ((NULL |code|) NIL)
              ((BOOT-EQUAL |code| '|noBranch|) NIL)
              ((|isMacro| |code| |$e|) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|add|)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) '|add|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |code|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |base| (QCAR |ISTMP#1|))
                             (SPADLET |codelist| (QCDR |ISTMP#1|))
@@ -2402,7 +2496,7 @@
               (CONS 'PROGN
                     (APPEND (|DescendCodeAdd| |base| |flag|)
                             |codelist|)))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'PROGN)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'PROGN)
                    (PROGN (SPADLET |codelist| (QCDR |code|)) 'T))
               (CONS 'PROGN
                     (NREVERSE
@@ -2426,7 +2520,7 @@
                                         NIL)
                                        (SETQ G167612
                                         (CONS |v| G167612))))))))))))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'COND)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'COND)
                    (PROGN (SPADLET |condlist| (QCDR |code|)) 'T))
               (SPADLET |c|
                        (PROG (G167637)
@@ -2497,7 +2591,7 @@
                                                                (CAR
                                                                 |u|))
                                                               (AND
-                                                               (PAIRP
+                                                               (CONSP
                                                                 |ISTMP#1|)
                                                                (EQ
                                                                 (QCAR
@@ -2509,7 +2603,7 @@
                                                                   (QCDR
                                                                    |ISTMP#1|))
                                                                  (AND
-                                                                  (PAIRP
+                                                                  (CONSP
                                                                    |ISTMP#2|)
                                                                   (PROGN
                                                                     (SPADLET
@@ -2521,7 +2615,7 @@
                                                                      (QCDR
                                                                       |ISTMP#2|))
                                                                     (AND
-                                                                     (PAIRP
+                                                                     (CONSP
                                                                       |ISTMP#3|)
                                                                      (EQ
                                                                       (QCDR
@@ -2550,7 +2644,7 @@
                      ((NULL (AND |c|
                                  (OR (PROGN
                                        (SPADLET |ISTMP#1| (|last| |c|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCDR |ISTMP#1|) NIL)
                                         (PROGN
                                           (SPADLET |c1|
@@ -2558,35 +2652,35 @@
                                           'T)))
                                      (PROGN
                                        (SPADLET |ISTMP#1| (|last| |c|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (PROGN
                                           (SPADLET |c1|
                                            (QCAR |ISTMP#1|))
                                           (SPADLET |ISTMP#2|
                                            (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
+                                          (AND (CONSP |ISTMP#2|)
                                            (EQ (QCDR |ISTMP#2|) NIL)
                                            (NULL (QCAR |ISTMP#2|)))))))
                                  (OR (BOOT-EQUAL |c1| ''T)
-                                     (AND (PAIRP |c1|)
+                                     (AND (CONSP |c1|)
                                       (EQ (QCAR |c1|) '|HasAttribute|)))))
                       NIL)
                    (SEQ (EXIT (SPADLET |c|
                                        (NREVERSE (CDR (NREVERSE |c|)))))))
                  (COND ((NULL |c|) '(LIST)) ('T (CONS 'COND |c|))))))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LET)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'LET)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |code|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |name| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |body| (QCAR |ISTMP#2|))
                                    'T))))))
               (COND
-                ((AND (PAIRP |body|)
+                ((AND (CONSP |body|)
                       (PROGN (SPADLET |a| (QCAR |body|)) 'T)
                       (|isFunctor| |a|))
                  (SPADLET |$packagesUsed|
@@ -2626,14 +2720,14 @@
                     NIL)
                    ('T |code|)))
                 ('T |code|)))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|CodeDefine|)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) '|CodeDefine|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |code|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |sig| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |implem| (QCAR |ISTMP#2|))
@@ -2665,14 +2759,14 @@
                           (CONS |u| |$ConstantAssignments|))
                  NIL)
                 ('T |u|)))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|:|))
+             ((AND (CONSP |code|) (EQ (QCAR |code|) '|:|))
               (RPLACA |code| 'LIST) (RPLACD |code| NIL))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LIST)) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|devaluate|)) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'MDEF)) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|call|)) |code|)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'SETELT)) |code|)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'QSETREFV)) |code|)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'LIST)) NIL)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) '|devaluate|)) NIL)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'MDEF)) NIL)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) '|call|)) |code|)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'SETELT)) |code|)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'QSETREFV)) |code|)
              ('T
               (|stackWarning|
                   (CONS "unknown Functor code "
@@ -2690,24 +2784,24 @@
     (RETURN
       (COND
         ((NULL |u|) NIL)
-        ((AND (PAIRP |u|)
+        ((AND (CONSP |u|)
               (PROGN
                 (SPADLET |q| (QCAR |u|))
                 (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |u'| (QCAR |ISTMP#3|))
                                      'T)))))))
               (OR (BOOT-EQUAL |q| 'SETELT) (BOOT-EQUAL |q| 'QSETREFV)))
          (|ConstantCreator| |u'|))
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'CONS)) NIL)
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'CONS)) NIL)
         ('T 'T)))))
 
 ;ProcessCond(cond,viewassoc) ==
@@ -2746,7 +2840,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |cond|) |cond|)
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|HasCategory|)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|HasCategory|)
                    (PROGN (SPADLET |l| (QCDR |cond|)) 'T))
               (SPADLET |solved| NIL)
               (DO ((G167813 |$getDomainCode| (CDR G167813))
@@ -2757,16 +2851,16 @@
                 (SEQ (EXIT (COND
                              ((NULL |solved|)
                               (COND
-                                ((AND (PAIRP |u|) (EQ (QCAR |u|) 'LET)
+                                ((AND (CONSP |u|) (EQ (QCAR |u|) 'LET)
                                       (PROGN
                                         (SPADLET |ISTMP#1| (QCDR |u|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (PROGN
                                            (SPADLET |name|
                                             (QCAR |ISTMP#1|))
                                            (SPADLET |ISTMP#2|
                                             (QCDR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCDR |ISTMP#2|) NIL)
                                             (EQUAL (QCAR |ISTMP#2|)
                                              |cond|))))))
@@ -2844,17 +2938,17 @@
                                   NIL)
                                (SEQ (EXIT
                                      (COND
-                                       ((AND (PAIRP |catImplem|)
+                                       ((AND (CONSP |catImplem|)
                                          (PROGN
                                            (SPADLET |q|
                                             (QCAR |catImplem|))
                                            (SPADLET |ISTMP#1|
                                             (QCDR |catImplem|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (SPADLET |ISTMP#2|
                                                (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQ (QCDR |ISTMP#2|)
                                                 NIL)
                                                (PROGN
@@ -2865,18 +2959,18 @@
                                           (BOOT-EQUAL |q| 'CONST)))
                                         (COND
                                           ((AND (EQ |q| 'CONST)
-                                            (PAIRP |body|)
+                                            (CONSP |body|)
                                             (EQ (QCAR |body|) 'CONS)
                                             (PROGN
                                               (SPADLET |ISTMP#1|
                                                (QCDR |body|))
-                                              (AND (PAIRP |ISTMP#1|)
+                                              (AND (CONSP |ISTMP#1|)
                                                (PROGN
                                                  (SPADLET |a|
                                                   (QCAR |ISTMP#1|))
                                                  (SPADLET |ISTMP#2|
                                                   (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
+                                                 (AND (CONSP |ISTMP#2|)
                                                   (EQ (QCDR |ISTMP#2|)
                                                    NIL)
                                                   (PROGN
@@ -2942,7 +3036,7 @@
                                                        (CONS |flag|
                                                         NIL)))))))))))
                                           ('T NIL)))
-                                       ((AND (PAIRP |catImplem|)
+                                       ((AND (CONSP |catImplem|)
                                          (EQ (QCAR |catImplem|)
                                           '|Subsumed|)
                                          (PROGN
@@ -2953,7 +3047,7 @@
                                           ((BOOT-EQUAL |mode|
                                             '|original|)
                                            (COND
-                                             ((AND (PAIRP |truename|)
+                                             ((AND (CONSP |truename|)
                                                (PROGN
                                                  (SPADLET |fn|
                                                   (QCAR |truename|))
@@ -2968,14 +3062,14 @@
                                                 |mode|)))))
                                           ('T NIL)))
                                        ((NULL
-                                         (AND (PAIRP |catImplem|)
+                                         (AND (CONSP |catImplem|)
                                           (EQ (QCAR |catImplem|) 'PAC)))
                                         (|keyedSystemError| 'S2OR0002
                                          (CONS |catImplem| NIL)))
                                        ('T NIL))))))))))
              (COND
-               ((AND (PAIRP |body|) (EQ (QCAR |body|) 'SETELT)) |body|)
-               ((AND (PAIRP |body|) (EQ (QCAR |body|) 'QSETREFV))
+               ((AND (CONSP |body|) (EQ (QCAR |body|) 'SETELT)) |body|)
+               ((AND (CONSP |body|) (EQ (QCAR |body|) 'QSETREFV))
                 |body|)
                ('T NIL)))))))
 
@@ -3045,7 +3139,7 @@
          (SPADLET |sig'| (SUBSTQ |$definition| '$ (CADR |sig|)))
          (COND
            ((BOOT-EQUAL |sig'| |pat'|) 'T)
-           ((AND (PAIRP |implem|) (EQ (QCAR |implem|) '|Subsumed|))
+           ((AND (CONSP |implem|) (EQ (QCAR |implem|) '|Subsumed|))
             NIL)
            ((|SourceLevelSubsume| |sig'| |pat'|) 'T)
            ('T NIL)))))))
@@ -3167,31 +3261,31 @@
 (DEFUN |makeMissingFunctionEntry,tran| (|x|)
   (PROG (|ISTMP#1| |a| |ISTMP#2| |ISTMP#3| |ISTMP#4| |b| |op| |l|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|HasCategory|)
+      (SEQ (IF (AND (CONSP |x|) (EQ (QCAR |x|) '|HasCategory|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |ISTMP#3|
                                      (QCAR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCAR |ISTMP#3|) 'QUOTE)
                                      (PROGN
                                        (SPADLET |ISTMP#4|
                                         (QCDR |ISTMP#3|))
-                                       (AND (PAIRP |ISTMP#4|)
+                                       (AND (CONSP |ISTMP#4|)
                                         (EQ (QCDR |ISTMP#4|) NIL)
                                         (PROGN
                                           (SPADLET |b|
                                            (QCAR |ISTMP#4|))
                                           'T))))))))))
                (EXIT (CONS '|has| (CONS |a| (CONS |b| NIL)))))
-           (IF (AND (AND (PAIRP |x|)
+           (IF (AND (AND (CONSP |x|)
                          (PROGN
                            (SPADLET |op| (QCAR |x|))
                            (SPADLET |l| (QCDR |x|))
@@ -3338,11 +3432,11 @@
   (declare (special |$Conditions|))
     (RETURN
       (SEQ (IF (ATOM |a|) (EXIT |a|))
-           (IF (AND (PAIRP |a|) (EQ (QCAR |a|) 'SIGNATURE)) (EXIT |a|))
-           (IF (AND (PAIRP |a|) (EQ (QCAR |a|) 'IF)
+           (IF (AND (CONSP |a|) (EQ (QCAR |a|) 'SIGNATURE)) (EXIT |a|))
+           (IF (AND (CONSP |a|) (EQ (QCAR |a|) 'IF)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |a|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |cond| (QCAR |ISTMP#1|))
                              'T))))
@@ -3358,32 +3452,32 @@
   (PROG (|ISTMP#1| |a| |ISTMP#2| |b| |ISTMP#3| |c| |l|)
     (RETURN
       (SEQ (IF (ATOM |code|) (EXIT (CONS |previous| NIL)))
-           (IF (AND (PAIRP |code|)
+           (IF (AND (CONSP |code|)
                     (EQ (QCAR |code|) '|DomainSubstitutionMacro|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |code|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |b| (QCAR |ISTMP#2|))
                                     'T))))))
                (EXIT (|InvestigateConditions,Conds| |b| |previous|)))
-           (IF (AND (PAIRP |code|) (EQ (QCAR |code|) 'IF)
+           (IF (AND (CONSP |code|) (EQ (QCAR |code|) 'IF)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |code|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |b| (QCAR |ISTMP#2|))
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (SPADLET |c| (QCAR |ISTMP#3|))
@@ -3392,7 +3486,7 @@
                                   (CONS |a| |previous|))
                               (|InvestigateConditions,Conds| |c|
                                   |previous|))))
-           (IF (AND (PAIRP |code|) (EQ (QCAR |code|) 'PROGN)
+           (IF (AND (CONSP |code|) (EQ (QCAR |code|) 'PROGN)
                     (PROGN (SPADLET |l| (QCDR |code|)) 'T))
                (EXIT (PROG (G168178)
                        (SPADLET G168178 NIL)
@@ -3408,7 +3502,7 @@
                                        (|union| G168178
                                         (|InvestigateConditions,Conds|
                                          |u| |previous|))))))))))
-           (IF (AND (PAIRP |code|) (EQ (QCAR |code|) 'CATEGORY)
+           (IF (AND (CONSP |code|) (EQ (QCAR |code|) 'CATEGORY)
                     (PROGN (SPADLET |l| (QCDR |code|)) 'T))
                (EXIT (PROG (G168189)
                        (SPADLET G168189 NIL)
@@ -3424,7 +3518,7 @@
                                        (|union| G168189
                                         (|InvestigateConditions,Conds|
                                          |u| |previous|))))))))))
-           (IF (AND (PAIRP |code|) (EQ (QCAR |code|) '|Join|)
+           (IF (AND (CONSP |code|) (EQ (QCAR |code|) '|Join|)
                     (PROGN (SPADLET |l| (QCDR |code|)) 'T))
                (EXIT (PROG (G168200)
                        (SPADLET G168200 NIL)
@@ -3533,7 +3627,7 @@
                ((NULL |secondaries|) '(T))
                ('T
                 (COND
-                  ((AND (PAIRP |$principal|)
+                  ((AND (CONSP |$principal|)
                         (PROGN (SPADLET |op| (QCAR |$principal|)) 'T))
                    (SPADLET |LETTMP#1|
                             (|compMakeCategoryObject| |$principal|
@@ -3562,7 +3656,7 @@
                                        NIL))))
                                    (SEQ
                                     (COND
-                                      ((AND (PAIRP |$principal|)
+                                      ((AND (CONSP |$principal|)
                                         (EQ (QCAR |$principal|)
                                          '|Join|)
                                         (PROGN
@@ -3703,25 +3797,22 @@
                                (|InvestigateConditions,Conds|
                                    |$principal| NIL))
                       (SPADLET |$Conditions|
-                               (EFFACE NIL
-                                       (PROG (G168392)
-                                         (SPADLET G168392 NIL)
-                                         (RETURN
-                                           (DO
-                                            ((G168397 |$Conditions|
-                                              (CDR G168397))
-                                             (|u| NIL))
-                                            ((OR (ATOM G168397)
-                                              (PROGN
-                                                (SETQ |u|
-                                                 (CAR G168397))
-                                                NIL))
-                                             (NREVERSE0 G168392))
-                                             (SEQ
-                                              (EXIT
-                                               (SETQ G168392
-                                                (CONS (EFFACE NIL |u|)
-                                                 G168392)))))))))
+                       (delete NIL
+                         (PROG (G168392)
+                           (SPADLET G168392 NIL)
+                           (RETURN
+                            (DO
+                              ((G168397 |$Conditions| (CDR G168397))
+                               (|u| NIL))
+                              ((OR (ATOM G168397)
+                                (PROGN
+                                  (SETQ |u| (CAR G168397)) NIL))
+                               (NREVERSE0 G168392))
+                              (SEQ
+                               (EXIT
+                                (SETQ G168392
+                                 (CONS (delete NIL |u| :count 1 :test #'equal)
+                                   G168392))))))) :count 1 :test #'equal))
                       (SPADLET |partList|
                                (PROG (G168407)
                                  (SPADLET G168407 NIL)
@@ -3999,8 +4090,8 @@
                     (PROGN (SETQ |u| (CAR G168627)) NIL))
                 NIL)
              (SEQ (EXIT (COND
-                          ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) 'AND))
-                               (AND (PAIRP |u|) (EQ (QCAR |u|) '|and|)))
+                          ((OR (AND (CONSP |u|) (EQ (QCAR |u|) 'AND))
+                               (AND (CONSP |u|) (EQ (QCAR |u|) '|and|)))
                            (DO ((G168637 |l| (CDR G168637))
                                 (|v| NIL))
                                ((OR (ATOM G168637)
@@ -4048,28 +4139,28 @@
                     (PROGN (SETQ |u| (CAR G168774)) NIL))
                 NIL)
              (SEQ (EXIT (COND
-                          ((AND (AND (PAIRP |u|)
+                          ((AND (AND (CONSP |u|)
                                      (EQ (QCAR |u|) '|HasCategory|)
                                      (PROGN
                                        (SPADLET |ISTMP#1| (QCDR |u|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (PROGN
                                           (SPADLET |name|
                                            (QCAR |ISTMP#1|))
                                           (SPADLET |ISTMP#2|
                                            (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
+                                          (AND (CONSP |ISTMP#2|)
                                            (EQ (QCDR |ISTMP#2|) NIL)
                                            (PROGN
                                              (SPADLET |cond|
                                               (QCAR |ISTMP#2|))
                                              'T))))))
-                                (AND (PAIRP |cond|)
+                                (AND (CONSP |cond|)
                                      (EQ (QCAR |cond|) 'QUOTE)
                                      (PROGN
                                        (SPADLET |ISTMP#1|
                                         (QCDR |cond|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCDR |ISTMP#1|) NIL)
                                         (PROGN
                                           (SPADLET |cond|
@@ -4085,27 +4176,27 @@
                              (SEQ (EXIT (COND
                                           ((AND
                                             (NULL (BOOT-EQUAL |v| |u|))
-                                            (AND (PAIRP |v|)
+                                            (AND (CONSP |v|)
                                              (EQ (QCAR |v|)
                                               '|HasCategory|)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |v|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQUAL (QCAR |ISTMP#1|)
                                                  |name|)
                                                 (PROGN
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
                                                      (SPADLET |ISTMP#3|
                                                       (QCAR |ISTMP#2|))
                                                      (AND
-                                                      (PAIRP |ISTMP#3|)
+                                                      (CONSP |ISTMP#3|)
                                                       (EQ
                                                        (QCAR |ISTMP#3|)
                                                        'QUOTE)
@@ -4115,7 +4206,7 @@
                                                          (QCDR
                                                           |ISTMP#3|))
                                                         (AND
-                                                         (PAIRP
+                                                         (CONSP
                                                           |ISTMP#4|)
                                                          (EQ
                                                           (QCDR
@@ -4138,11 +4229,11 @@
                     (PROGN (SETQ |u| (CAR G168815)) NIL))
                 NIL)
              (SEQ (EXIT (COND
-                          ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) 'AND)
+                          ((OR (AND (CONSP |u|) (EQ (QCAR |u|) 'AND)
                                     (PROGN
                                       (SPADLET |l'| (QCDR |u|))
                                       'T))
-                               (AND (PAIRP |u|) (EQ (QCAR |u|) '|and|)
+                               (AND (CONSP |u|) (EQ (QCAR |u|) '|and|)
                                     (PROGN
                                       (SPADLET |l'| (QCDR |u|))
                                       'T)))
@@ -4155,32 +4246,32 @@
                                 NIL)
                              (SEQ (EXIT (COND
                                           ((AND
-                                            (AND (PAIRP |u'|)
+                                            (AND (CONSP |u'|)
                                              (EQ (QCAR |u'|)
                                               '|HasCategory|)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |u'|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |name|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
                                                      (SPADLET |cond|
                                                       (QCAR |ISTMP#2|))
                                                      'T))))))
-                                            (AND (PAIRP |cond|)
+                                            (AND (CONSP |cond|)
                                              (EQ (QCAR |cond|) 'QUOTE)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |cond|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -4200,14 +4291,14 @@
                                              (SEQ
                                               (EXIT
                                                (COND
-                                                 ((AND (PAIRP |v|)
+                                                 ((AND (CONSP |v|)
                                                    (EQ (QCAR |v|)
                                                     '|HasCategory|)
                                                    (PROGN
                                                      (SPADLET |ISTMP#1|
                                                       (QCDR |v|))
                                                      (AND
-                                                      (PAIRP |ISTMP#1|)
+                                                      (CONSP |ISTMP#1|)
                                                       (EQUAL
                                                        (QCAR |ISTMP#1|)
                                                        |name|)
@@ -4217,7 +4308,7 @@
                                                          (QCDR
                                                           |ISTMP#1|))
                                                         (AND
-                                                         (PAIRP
+                                                         (CONSP
                                                           |ISTMP#2|)
                                                          (EQ
                                                           (QCDR
@@ -4229,7 +4320,7 @@
                                                             (QCAR
                                                              |ISTMP#2|))
                                                            (AND
-                                                            (PAIRP
+                                                            (CONSP
                                                              |ISTMP#3|)
                                                             (EQ
                                                              (QCAR
@@ -4241,7 +4332,7 @@
                                                                (QCDR
                                                                 |ISTMP#3|))
                                                               (AND
-                                                               (PAIRP
+                                                               (CONSP
                                                                 |ISTMP#4|)
                                                                (EQ
                                                                 (QCDR
@@ -4266,11 +4357,11 @@
     (RETURN
       (SEQ (COND
              ((ATOM |u|) |u|)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|has|))
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|has|))
               (|compHasFormat| |u|))
-             ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) 'AND)
+             ((OR (AND (CONSP |u|) (EQ (QCAR |u|) 'AND)
                        (PROGN (SPADLET |l| (QCDR |u|)) 'T))
-                  (AND (PAIRP |u|) (EQ (QCAR |u|) '|and|)
+                  (AND (CONSP |u|) (EQ (QCAR |u|) '|and|)
                        (PROGN (SPADLET |l| (QCDR |u|)) 'T)))
               (SPADLET |l|
                        (REMDUP (PROG (G168889)
@@ -4303,7 +4394,7 @@
                       NIL)
                    (SEQ (EXIT (SPADLET |l1| (|mkAnd| |u| |l1|)))))
                  |l1|)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'OR)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'OR)
                    (PROGN (SPADLET |l| (QCDR |u|)) 'T))
               (SPADLET |l| (|ICformat,ORreduce| |l|))
               (COND
@@ -4346,11 +4437,11 @@
     (RETURN
       (COND
         ((ATOM |a|) |a|)
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) 'SIGNATURE)) |a|)
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) 'IF)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) 'SIGNATURE)) |a|)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) 'IF)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |cond| (QCAR |ISTMP#1|)) 'T))))
          (COND ((|member| |cond| |trueconds|) |a|) ('T NIL)))
         ('T
@@ -4471,17 +4562,17 @@
                                 ((AND (PROGN
                                         (SPADLET |ISTMP#1|
                                          (ELT |princview| |i|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (PROGN
                                               (SPADLET |op|
                                                (QCAR |ISTMP#2|))
                                               (SPADLET |ISTMP#3|
                                                (QCDR |ISTMP#2|))
-                                              (AND (PAIRP |ISTMP#3|)
+                                              (AND (CONSP |ISTMP#3|)
                                                (EQ (QCDR |ISTMP#3|)
                                                 NIL)
                                                (PROGN
@@ -4498,18 +4589,18 @@
                                           (CONS |base|
                                            (MSUBST |base| '$ |types|))
                                           (|get| |op| '|modemap| |$e|)))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (PROGN
                                               (SPADLET |pred|
                                                (QCAR |ISTMP#2|))
                                               (SPADLET |ISTMP#3|
                                                (QCDR |ISTMP#2|))
-                                              (AND (PAIRP |ISTMP#3|)
+                                              (AND (CONSP |ISTMP#3|)
                                                (EQ (QCDR |ISTMP#3|)
                                                 NIL)
                                                (PROGN
diff -Nru axiom-20110301a/src/interp/g-boot.lisp.pamphlet axiom-20111101/src/interp/g-boot.lisp.pamphlet
--- axiom-20110301a/src/interp/g-boot.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/g-boot.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -58,7 +58,7 @@
 ;  ok := true
 ;  while (cls and ok) repeat
 ;    [[p,:r],:cls] := cls
-;    PAIRP QCDR r => ok := NIL
+;    CONSP QCDR r => ok := NIL
 ;    CAR(r) isnt ['EXIT,.] => ok := NIL
 ;    NULL(cls) and ATOM(p) => ok := NIL
 ;    NULL(cls) and (p = ''T) => ok := NIL
@@ -71,7 +71,7 @@
     (RETURN
       (SEQ (COND
              ((OR (ATOM |x|)
-                  (NULL (AND (PAIRP |x|) (EQ (QCAR |x|) 'COND)
+                  (NULL (AND (CONSP |x|) (EQ (QCAR |x|) 'COND)
                              (PROGN (SPADLET |cls| (QCDR |x|)) 'T))))
               NIL)
              ('T (SPADLET |ok| 'T)
@@ -82,15 +82,15 @@
                              (SPADLET |r| (CDAR |LETTMP#1|))
                              (SPADLET |cls| (CDR |LETTMP#1|))
                              (COND
-                               ((PAIRP (QCDR |r|)) (SPADLET |ok| NIL))
+                               ((CONSP (QCDR |r|)) (SPADLET |ok| NIL))
                                ((NULL (PROGN
                                         (SPADLET |ISTMP#1| (CAR |r|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCAR |ISTMP#1|) 'EXIT)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCDR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCDR |ISTMP#2|) NIL))))))
                                 (SPADLET |ok| NIL))
                                ((AND (NULL |cls|) (ATOM |p|))
@@ -106,7 +106,7 @@
 ;  -- into one COND
 ;  NULL l => NIL
 ;  ATOM l => l
-;  NULL PAIRP QCDR l => l
+;  NULL CONSP QCDR l => l
 ;  a := QCAR l
 ;  if a is ['COND,:.] then a := flattenCOND a
 ;  am := mergeableCOND a
@@ -126,16 +126,16 @@
       (COND
         ((NULL |l|) NIL)
         ((ATOM |l|) |l|)
-        ((NULL (PAIRP (QCDR |l|))) |l|)
+        ((NULL (CONSP (QCDR |l|))) |l|)
         ('T (SPADLET |a| (QCAR |l|))
          (COND
-           ((AND (PAIRP |a|) (EQ (QCAR |a|) 'COND))
+           ((AND (CONSP |a|) (EQ (QCAR |a|) 'COND))
             (SPADLET |a| (|flattenCOND| |a|))))
          (SPADLET |am| (|mergeableCOND| |a|))
          (COND
            ((AND (PROGN
                    (SPADLET |ISTMP#1| (CDR |l|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |b| (QCAR |ISTMP#1|))
                           (SPADLET |k| (QCDR |ISTMP#1|))
@@ -146,7 +146,7 @@
             (|mergeCONDsWithEXITs| (CONS (|flattenCOND| |c|) |k|)))
            ((AND (PROGN
                    (SPADLET |ISTMP#1| (CDR |l|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |b| (QCAR |ISTMP#1|)) 'T)))
                  |am|)
             (CONS (|removeEXITFromCOND|
@@ -195,12 +195,12 @@
                                (COND
                                  ((|nakedEXIT?| |f|)
                                   (SPADLET |ok| NIL))
-                                 ((NULL (AND (PAIRP |r1|)
+                                 ((NULL (AND (CONSP |r1|)
                                          (EQ (QCAR |r1|) 'EXIT)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCDR |r1|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (EQ (QCDR |ISTMP#1|) NIL)
                                             (PROGN
                                               (SPADLET |r2|
@@ -218,7 +218,7 @@
 ;    ATOM cl => z := CONS(cl,z)
 ;    cond := QCAR cl
 ;    length1? cl =>
-;      PAIRP(cond) and EQCAR(cond,'EXIT) =>
+;      CONSP(cond) and EQCAR(cond,'EXIT) =>
 ;        z := CONS(QCDR cond,z)
 ;      z := CONS(cl,z)
 ;    cl' := REVERSE cl
@@ -246,7 +246,7 @@
                              (COND
                                ((|length1?| |cl|)
                                 (COND
-                                  ((AND (PAIRP |cond|)
+                                  ((AND (CONSP |cond|)
                                     (EQCAR |cond| 'EXIT))
                                    (SPADLET |z|
                                     (CONS (QCDR |cond|) |z|)))
@@ -275,7 +275,7 @@
 
 (DEFUN |flattenCOND| (|body|)
   (COND
-    ((NULL (AND (PAIRP |body|) (EQ (QCAR |body|) 'COND))) |body|)
+    ((NULL (AND (CONSP |body|) (EQ (QCAR |body|) 'COND))) |body|)
     ('T (CONS 'COND (|extractCONDClauses| |body|)))))
 
 ;extractCONDClauses clauses ==
@@ -294,13 +294,13 @@
                  |restCond|)
     (RETURN
       (COND
-        ((AND (PAIRP |clauses|) (EQ (QCAR |clauses|) 'COND)
+        ((AND (CONSP |clauses|) (EQ (QCAR |clauses|) 'COND)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |clauses|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |pred1| (QCAR |ISTMP#2|))
                               (SPADLET |act1| (QCDR |ISTMP#2|))
@@ -309,20 +309,20 @@
                        (SPADLET |restClauses| (QCDR |ISTMP#1|))
                        'T))))
          (COND
-           ((AND (PAIRP |act1|) (EQ (QCDR |act1|) NIL)
+           ((AND (CONSP |act1|) (EQ (QCDR |act1|) NIL)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCAR |act1|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'PROGN)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'PROGN)
                         (PROGN (SPADLET |acts| (QCDR |ISTMP#1|)) 'T))))
             (SPADLET |act1| |acts|)))
          (COND
-           ((AND (PAIRP |restClauses|) (EQ (QCDR |restClauses|) NIL)
+           ((AND (CONSP |restClauses|) (EQ (QCDR |restClauses|) NIL)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCAR |restClauses|))
-                   (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) ''T)
+                   (AND (CONSP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) ''T)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN
                                  (SPADLET |restCond| (QCAR |ISTMP#2|))
@@ -346,14 +346,14 @@
   (PROG (|ISTMP#1| |ISTMP#2| |p| |t| |e|)
     (RETURN
       (COND
-        ((AND (PAIRP |c|)
+        ((AND (CONSP |c|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |c|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |p| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |t| (QCAR |ISTMP#2|)) 'T))))))
          (|bootCOND| (CONS 'COND (CONS (CONS |p| (CONS |t| NIL)) NIL))))
         ('T (SPADLET |p| (CADR |c|)) (SPADLET |t| (CADDR |c|))
@@ -394,14 +394,14 @@
              (SPADLET |cls| (CDR |c|))
              (COND
                ((NULL |cls|) NIL)
-               ((AND (PAIRP |cls|)
+               ((AND (CONSP |cls|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |cls|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQUAL (QCAR |ISTMP#1|) ''T)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |r| (QCAR |ISTMP#2|))
@@ -420,12 +420,12 @@
                                (SPADLET |r| (CDR |cl|))
                                (SPADLET |ncls|
                                         (COND
-                                          ((AND (PAIRP |r|)
+                                          ((AND (CONSP |r|)
                                             (EQ (QCDR |r|) NIL)
                                             (PROGN
                                               (SPADLET |ISTMP#1|
                                                (QCAR |r|))
-                                              (AND (PAIRP |ISTMP#1|)
+                                              (AND (CONSP |ISTMP#1|)
                                                (EQ (QCAR |ISTMP#1|)
                                                 'PROGN)
                                                (PROGN
@@ -438,32 +438,32 @@
                 (SPADLET |fcls| (|bootPushEXITintoCONDclause| |fcls|))
                 (SPADLET |ncls|
                          (COND
-                           ((AND (PAIRP |fcls|)
+                           ((AND (CONSP |fcls|)
                                  (EQUAL (QCAR |fcls|) ''T)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |fcls|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#2|
                                        (QCAR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
+                                      (AND (CONSP |ISTMP#2|)
                                        (EQ (QCAR |ISTMP#2|) 'COND)
                                        (PROGN
                                          (SPADLET |mcls|
                                           (QCDR |ISTMP#2|))
                                          'T))))))
                             (APPEND (REVERSE |mcls|) |ncls|))
-                           ((AND (PAIRP |fcls|)
+                           ((AND (CONSP |fcls|)
                                  (EQUAL (QCAR |fcls|) ''T)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |fcls|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#2|
                                        (QCAR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
+                                      (AND (CONSP |ISTMP#2|)
                                        (EQ (QCAR |ISTMP#2|) 'PROGN)
                                        (PROGN
                                          (SPADLET |mcls|
@@ -491,24 +491,24 @@
             |ncls|)
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |e|) (EQUAL (QCAR |e|) ''T)
+             ((NULL (AND (CONSP |e|) (EQUAL (QCAR |e|) ''T)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |e|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCAR |ISTMP#2|) 'EXIT)
                                        (PROGN
                                          (SPADLET |ISTMP#3|
                                           (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
+                                         (AND (CONSP |ISTMP#3|)
                                           (EQ (QCDR |ISTMP#3|) NIL)
                                           (PROGN
                                             (SPADLET |ISTMP#4|
                                              (QCAR |ISTMP#3|))
-                                            (AND (PAIRP |ISTMP#4|)
+                                            (AND (CONSP |ISTMP#4|)
                                              (EQ (QCAR |ISTMP#4|)
                                               'COND)
                                              (PROGN
@@ -526,16 +526,16 @@
                              (SPADLET |r| (CDR |cl|))
                              (SPADLET |ncls|
                                       (COND
-                                        ((AND (PAIRP |r|)
+                                        ((AND (CONSP |r|)
                                           (EQ (QCDR |r|) NIL)
                                           (PROGN
                                             (SPADLET |ISTMP#1|
                                              (QCAR |r|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCAR |ISTMP#1|)
                                               'EXIT))))
                                          (CONS |cl| |ncls|))
-                                        ((AND (PAIRP |r|)
+                                        ((AND (CONSP |r|)
                                           (EQ (QCDR |r|) NIL)
                                           (PROGN
                                             (SPADLET |r1| (QCAR |r|))
@@ -584,10 +584,10 @@
               |ISTMP#5| |r| |ccls|)
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |e|) (EQ (QCAR |e|) 'SEQ)
+             ((NULL (AND (CONSP |e|) (EQ (QCAR |e|) 'SEQ)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |e|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |cl| (QCAR |ISTMP#1|))
                                   (SPADLET |cls| (QCDR |ISTMP#1|))
@@ -595,28 +595,28 @@
               NIL)
              ((|nakedEXIT?| |cl|)
               (COND
-                ((AND (PAIRP |cl|) (EQ (QCAR |cl|) 'COND)
+                ((AND (CONSP |cl|) (EQ (QCAR |cl|) 'COND)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |cl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |p| (QCAR |ISTMP#2|))
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL)
                                        (PROGN
                                          (SPADLET |ISTMP#4|
                                           (QCAR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
+                                         (AND (CONSP |ISTMP#4|)
                                           (EQ (QCAR |ISTMP#4|) 'EXIT)
                                           (PROGN
                                             (SPADLET |ISTMP#5|
                                              (QCDR |ISTMP#4|))
-                                            (AND (PAIRP |ISTMP#5|)
+                                            (AND (CONSP |ISTMP#5|)
                                              (EQ (QCDR |ISTMP#5|) NIL)
                                              (PROGN
                                                (SPADLET |r|
@@ -694,15 +694,15 @@
                               (EXIT (CONS |x| NIL)))
                           (EXIT NIL))))
            (IF (ATOM |x|) (EXIT NIL))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'PROGN)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'PROGN)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (AND (PAIRP |ISTMP#1|)
+                      (AND (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |ISTMP#2|
                                            (REVERSE |ISTMP#1|))
                                   'T))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (PROGN
                                   (SPADLET |lpcl| (QCAR |ISTMP#2|))
                                   (SPADLET |pcls| (QCDR |ISTMP#2|))
@@ -712,24 +712,24 @@
                              'T))))
                (EXIT (SEQ (IF (ATOM |lpcl|) (EXIT |pcls|))
                           (EXIT (CDR |x|)))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'COND)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'COND)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |y| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |ISTMP#3|
                                      (QCAR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQUAL (QCAR |ISTMP#3|) ''T)
                                      (PROGN
                                        (SPADLET |ISTMP#4|
                                         (QCDR |ISTMP#3|))
-                                       (AND (PAIRP |ISTMP#4|)
+                                       (AND (CONSP |ISTMP#4|)
                                         (EQ (QCDR |ISTMP#4|) NIL)
                                         (EQUAL (QCAR |ISTMP#4|) 'NIL))))))))))
                (EXIT (CONS (CONS 'COND (CONS |y| NIL)) NIL)))
@@ -762,10 +762,10 @@
                                           (|bootAbsorbSEQsAndPROGNs,flatten|
                                            |f|)))))))))
               (DO ()
-                  ((NULL (AND (PAIRP |lcl|) (EQ (QCAR |lcl|) 'EXIT)
+                  ((NULL (AND (CONSP |lcl|) (EQ (QCAR |lcl|) 'EXIT)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCDR |lcl|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |f| (QCAR |ISTMP#1|))
@@ -773,45 +773,45 @@
                    NIL)
                 (SEQ (EXIT (SPADLET |lcl| |f|))))
               (COND
-                ((AND (PAIRP |lcl|) (EQ (QCAR |lcl|) 'PROGN)
+                ((AND (CONSP |lcl|) (EQ (QCAR |lcl|) 'PROGN)
                       (PROGN (SPADLET |pcls| (QCDR |lcl|)) 'T))
                  (APPEND |g| |pcls|))
-                ((AND (PAIRP |lcl|) (EQ (QCAR |lcl|) 'COND)
+                ((AND (CONSP |lcl|) (EQ (QCAR |lcl|) 'COND)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |lcl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQUAL (QCAR |ISTMP#2|) ''T)
                                     (PROGN
                                       (SPADLET |pcls| (QCDR |ISTMP#2|))
                                       'T))))))
                  (APPEND |g| |pcls|))
-                ((AND (PAIRP |lcl|) (EQ (QCAR |lcl|) 'COND)
+                ((AND (CONSP |lcl|) (EQ (QCAR |lcl|) 'COND)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |lcl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |pred| (QCAR |ISTMP#2|))
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL)
                                        (PROGN
                                          (SPADLET |ISTMP#4|
                                           (QCAR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
+                                         (AND (CONSP |ISTMP#4|)
                                           (EQ (QCAR |ISTMP#4|) 'EXIT)
                                           (PROGN
                                             (SPADLET |ISTMP#5|
                                              (QCDR |ISTMP#4|))
-                                            (AND (PAIRP |ISTMP#5|)
+                                            (AND (CONSP |ISTMP#5|)
                                              (EQ (QCDR |ISTMP#5|) NIL)
                                              (PROGN
                                                (SPADLET |h|
@@ -854,14 +854,14 @@
                             (|mergeCONDsWithEXITs|
                                 (|bootAbsorbSEQsAndPROGNs| (CDR |e|)))))
              (COND
-               ((AND (PAIRP |e|)
+               ((AND (CONSP |e|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |e|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
                               'T)
-                            (PAIRP |ISTMP#2|)
+                            (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |lcl| (QCAR |ISTMP#2|))
                               (SPADLET |cls| (QCDR |ISTMP#2|))
@@ -878,20 +878,20 @@
                                         NIL))))))
              (SPADLET |cls| (QCDR |e|))
              (COND
-               ((AND (PAIRP |cls|) (EQ (QCDR |cls|) NIL)
+               ((AND (CONSP |cls|) (EQ (QCDR |cls|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |cls|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQ (QCAR |ISTMP#1|) 'SEQ))))
                 (|tryToRemoveSEQ| (QCAR |cls|)))
-               ((AND (PAIRP |cls|) (EQ (QCDR |cls|) NIL)
+               ((AND (CONSP |cls|) (EQ (QCDR |cls|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |cls|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQ (QCAR |ISTMP#1|) 'EXIT)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |body| (QCAR |ISTMP#2|))
@@ -917,40 +917,40 @@
                                        (OR G2596
                                         (member |g| |$labelsForGO|))))))))))
                 (|bootTran| (CONS 'PROGN |cls|)))
-               ((AND (PAIRP |e|) (EQ (QCAR |e|) 'SEQ)
+               ((AND (CONSP |e|) (EQ (QCAR |e|) 'SEQ)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |e|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCAR |ISTMP#2|) 'COND)
                                    (PROGN
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |ISTMP#4|
                                          (QCAR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
+                                        (AND (CONSP |ISTMP#4|)
                                          (PROGN
                                            (SPADLET |pred|
                                             (QCAR |ISTMP#4|))
                                            (SPADLET |ISTMP#5|
                                             (QCDR |ISTMP#4|))
-                                           (AND (PAIRP |ISTMP#5|)
+                                           (AND (CONSP |ISTMP#5|)
                                             (EQ (QCDR |ISTMP#5|) NIL)
                                             (PROGN
                                               (SPADLET |ISTMP#6|
                                                (QCAR |ISTMP#5|))
-                                              (AND (PAIRP |ISTMP#6|)
+                                              (AND (CONSP |ISTMP#6|)
                                                (EQ (QCAR |ISTMP#6|)
                                                 'EXIT)
                                                (PROGN
                                                  (SPADLET |ISTMP#7|
                                                   (QCDR |ISTMP#6|))
-                                                 (AND (PAIRP |ISTMP#7|)
+                                                 (AND (CONSP |ISTMP#7|)
                                                   (EQ (QCDR |ISTMP#7|)
                                                    NIL)
                                                   (PROGN
@@ -987,7 +987,7 @@
         (SPADLET |cls| (CDR |e|))
         (COND
           ((NULL |cls|) NIL)
-          ((AND (PAIRP |cls|) (EQ (QCDR |cls|) NIL)
+          ((AND (CONSP |cls|) (EQ (QCDR |cls|) NIL)
                 (PROGN (SPADLET |body| (QCAR |cls|)) 'T))
            |body|)
           ('T |e|))))))
@@ -1008,7 +1008,7 @@
 ;;;     ***       |bootOR,flatten| REDEFINED
 
 (DEFUN |bootOR,flatten| (|x|)
-  (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'OR)) (EXIT (QCDR |x|)))
+  (SEQ (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'OR)) (EXIT (QCDR |x|)))
        (EXIT (CONS |x| NIL))))
 
 ;;;     ***       |bootOR| REDEFINED
@@ -1053,7 +1053,7 @@
 ;;;     ***       |bootAND,flatten| REDEFINED
 
 (DEFUN |bootAND,flatten| (|x|)
-  (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'AND)) (EXIT (QCDR |x|)))
+  (SEQ (IF (AND (CONSP |x|) (EQ (QCAR |x|) 'AND)) (EXIT (QCDR |x|)))
        (EXIT (CONS |x| NIL))))
 
 ;;;     ***       |bootAND| REDEFINED
diff -Nru axiom-20110301a/src/interp/g-cndata.lisp.pamphlet axiom-20111101/src/interp/g-cndata.lisp.pamphlet
--- axiom-20110301a/src/interp/g-cndata.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/g-cndata.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -313,7 +313,7 @@
   (PROG (|op| |arglist| |abb|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Union|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|Union|)
                    (PROGN (SPADLET |arglist| (QCDR |u|)) 'T))
               (CONS '|Union|
                     (PROG (G166167)
@@ -329,7 +329,7 @@
                           (SEQ (EXIT (SETQ G166167
                                       (CONS (|abbreviate| |a|)
                                        G166167)))))))))
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |op| (QCAR |u|))
                      (SPADLET |arglist| (QCDR |u|))
@@ -555,26 +555,26 @@
   (PROG (|ISTMP#1| |b| |ISTMP#2| T$)
     (RETURN
       (COND
-        ((OR (AND (PAIRP |a|) (EQ (QCAR |a|) '|Declare|)
+        ((OR (AND (CONSP |a|) (EQ (QCAR |a|) '|Declare|)
                   (PROGN
                     (SPADLET |ISTMP#1| (QCDR |a|))
-                    (AND (PAIRP |ISTMP#1|)
+                    (AND (CONSP |ISTMP#1|)
                          (PROGN
                            (SPADLET |b| (QCAR |ISTMP#1|))
                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (EQ (QCDR |ISTMP#2|) NIL)
                                 (PROGN
                                   (SPADLET T$ (QCAR |ISTMP#2|))
                                   'T))))))
-             (AND (PAIRP |a|) (EQ (QCAR |a|) '|:|)
+             (AND (CONSP |a|) (EQ (QCAR |a|) '|:|)
                   (PROGN
                     (SPADLET |ISTMP#1| (QCDR |a|))
-                    (AND (PAIRP |ISTMP#1|)
+                    (AND (CONSP |ISTMP#1|)
                          (PROGN
                            (SPADLET |b| (QCAR |ISTMP#1|))
                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (EQ (QCDR |ISTMP#2|) NIL)
                                 (PROGN
                                   (SPADLET T$ (QCAR |ISTMP#2|))
@@ -592,26 +592,26 @@
   (PROG (|ISTMP#1| |b| |ISTMP#2| T$)
     (RETURN
       (COND
-        ((OR (AND (PAIRP |a|) (EQ (QCAR |a|) '|Declare|)
+        ((OR (AND (CONSP |a|) (EQ (QCAR |a|) '|Declare|)
                   (PROGN
                     (SPADLET |ISTMP#1| (QCDR |a|))
-                    (AND (PAIRP |ISTMP#1|)
+                    (AND (CONSP |ISTMP#1|)
                          (PROGN
                            (SPADLET |b| (QCAR |ISTMP#1|))
                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (EQ (QCDR |ISTMP#2|) NIL)
                                 (PROGN
                                   (SPADLET T$ (QCAR |ISTMP#2|))
                                   'T))))))
-             (AND (PAIRP |a|) (EQ (QCAR |a|) '|:|)
+             (AND (CONSP |a|) (EQ (QCAR |a|) '|:|)
                   (PROGN
                     (SPADLET |ISTMP#1| (QCDR |a|))
-                    (AND (PAIRP |ISTMP#1|)
+                    (AND (CONSP |ISTMP#1|)
                          (PROGN
                            (SPADLET |b| (QCAR |ISTMP#1|))
                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (EQ (QCDR |ISTMP#2|) NIL)
                                 (PROGN
                                   (SPADLET T$ (QCAR |ISTMP#2|))
diff -Nru axiom-20110301a/src/interp/g-error.lisp.pamphlet axiom-20111101/src/interp/g-error.lisp.pamphlet
--- axiom-20110301a/src/interp/g-error.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/g-error.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -80,7 +80,7 @@
 ;      '"Error with unknown classification"
 ;  msg :=
 ;    errorMsg is ['mathprint, :.] => errorMsg
-;    not PAIRP errorMsg => ['"   ", errorMsg]
+;    not CONSP errorMsg => ['"   ", errorMsg]
 ;    splitmsg := true
 ;    if MEMBER('%b,errorMsg) then splitmsg := nil
 ;      else if MEMBER('%d,errorMsg) then splitmsg := nil
@@ -109,10 +109,10 @@
                          ('T "Error with unknown classification")))
               (setq |msg|
                        (COND
-                         ((AND (PAIRP |errorMsg|)
+                         ((AND (CONSP |errorMsg|)
                                (EQ (QCAR |errorMsg|) '|mathprint|))
                           |errorMsg|)
-                         ((NULL (PAIRP |errorMsg|))
+                         ((NULL (CONSP |errorMsg|))
                           (CONS "   "
                                 (CONS |errorMsg| NIL)))
                          ('T (setq |splitmsg| 'T)
@@ -194,7 +194,6 @@
  (declare (special |$BreakMode|))
  (let (msgQ x go-tit)
   (terpri)
-  (enable-backtrace nil)
   (cond
    ((eq |$BreakMode| '|break|) (|sayBrightly| " ") (break))
    ((eq |$BreakMode| '|query|)
@@ -320,10 +319,10 @@
             (CONS "   >> " (CONS |errorLabel| (CONS ":" NIL))))
         (setq |m| |msg|)
         (COND
-          ((AND (PAIRP |msg|) (EQ (QCAR |msg|) '|mathprint|)
+          ((AND (CONSP |msg|) (EQ (QCAR |msg|) '|mathprint|)
                 (PROGN
                   (setq |ISTMP#1| (QCDR |msg|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN
                          (setq |mathexpr| (QCAR |ISTMP#1|))
                          'T))))
diff -Nru axiom-20110301a/src/interp/g-opt.lisp.pamphlet axiom-20111101/src/interp/g-opt.lisp.pamphlet
--- axiom-20110301a/src/interp/g-opt.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/g-opt.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,1546 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp g-opt.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(IN-PACKAGE "BOOT" )
-
-;--% OPTIMIZER
-;
-;optimizeFunctionDef(def) ==
-;  if $reportOptimization then
-;    sayBrightlyI bright '"Original LISP code:"
-;    pp def
-;
-;  def' := optimize COPY def
-;
-;  if $reportOptimization then
-;    sayBrightlyI bright '"Optimized LISP code:"
-;    pp def'
-;    sayBrightlyI bright '"Final LISP code:"
-;  [name,[slamOrLam,args,body]] := def'
-;
-;  body':=
-;    removeTopLevelCatch body where
-;      removeTopLevelCatch body ==
-;        body is ["CATCH",g,u] =>
-;          removeTopLevelCatch replaceThrowByReturn(u,g)
-;        body
-;      replaceThrowByReturn(x,g) ==
-;        fn(x,g)
-;        x
-;      fn(x,g) ==
-;        x is ["THROW", =g,:u] =>
-;          rplac(first x,"RETURN")
-;          rplac(rest x,replaceThrowByReturn(u,g))
-;        atom x => nil
-;        replaceThrowByReturn(first x,g)
-;        replaceThrowByReturn(rest x,g)
-;  [name,[slamOrLam,args,body']]
-
-(DEFUN |optimizeFunctionDef,fn| (|x| |g|)
-  (PROG (|ISTMP#1| |u|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |x|) (EQ (QCAR |x|) 'THROW)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |g|)
-                           (PROGN (SPADLET |u| (QCDR |ISTMP#1|)) 'T))))
-               (EXIT (SEQ (|rplac| (CAR |x|) 'RETURN)
-                          (EXIT (|rplac| (CDR |x|)
-                                    (|optimizeFunctionDef,replaceThrowByReturn|
-                                          |u| |g|))))))
-           (IF (ATOM |x|) (EXIT NIL))
-           (|optimizeFunctionDef,replaceThrowByReturn| (CAR |x|) |g|)
-           (EXIT (|optimizeFunctionDef,replaceThrowByReturn| (CDR |x|)
-                     |g|))))))
-
-
-(DEFUN |optimizeFunctionDef,replaceThrowByReturn| (|x| |g|)
-  (SEQ (|optimizeFunctionDef,fn| |x| |g|) (EXIT |x|)))
-
-(DEFUN |optimizeFunctionDef,removeTopLevelCatch| (|body|)
-  (PROG (|ISTMP#1| |g| |ISTMP#2| |u|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |body|) (EQ (QCAR |body|) 'CATCH)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |body|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (PROGN
-                             (SPADLET |g| (QCAR |ISTMP#1|))
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |u| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (|optimizeFunctionDef,removeTopLevelCatch|
-                         (|optimizeFunctionDef,replaceThrowByReturn|
-                             |u| |g|))))
-           (EXIT |body|)))))
-
-(DEFUN |optimizeFunctionDef| (|def|)
-  (PROG (|def'| |name| |slamOrLam| |args| |body| |body'|)
-    (DECLARE (SPECIAL |$reportOptimization|))
-    (RETURN
-      (PROGN
-        (COND
-          (|$reportOptimization|
-              (|sayBrightlyI|
-                  (|bright| "Original LISP code:"))
-              (|pp| |def|)))
-        (SPADLET |def'| (|optimize| (COPY |def|)))
-        (COND
-          (|$reportOptimization|
-              (|sayBrightlyI|
-                  (|bright| "Optimized LISP code:"))
-              (|pp| |def'|)
-              (|sayBrightlyI|
-                  (|bright| "Final LISP code:"))))
-        (SPADLET |name| (CAR |def'|))
-        (SPADLET |slamOrLam| (CAADR |def'|))
-        (SPADLET |args| (CADADR |def'|))
-        (SPADLET |body| (CAR (CDDADR |def'|)))
-        (SPADLET |body'|
-                 (|optimizeFunctionDef,removeTopLevelCatch| |body|))
-        (CONS |name|
-              (CONS (CONS |slamOrLam| (CONS |args| (CONS |body'| NIL)))
-                    NIL))))))
-
-;optimize x ==
-;  (opt x; x) where
-;    opt x ==
-;      atom x => nil
-;      (y:= first x)='QUOTE => nil
-;      y='CLOSEDFN => nil
-;      y is [["XLAM",argl,body],:a] =>
-;        optimize rest x
-;        argl = "ignore" => RPLAC(first x,body)
-;        if not (LENGTH argl<=LENGTH a) then
-;          SAY '"length mismatch in XLAM expression"
-;          PRETTYPRINT y
-;        RPLAC(first x,optimize optXLAMCond SUBLIS(pairList(argl,a),body))
-;      atom y =>
-;        optimize rest x
-;        y="true" => RPLAC(first x,'(QUOTE (QUOTE T)))
-;        y="false" => RPLAC(first x,nil)
-;      if first y="IF" then (RPLAC(first x,optIF2COND y); y:= first x)
-;      op:= GET(subrname first y,"OPTIMIZE") =>
-;        (optimize rest x; RPLAC(first x,FUNCALL(op,optimize first x)))
-;      RPLAC(first x,optimize first x)
-;      optimize rest x
-
-(DEFUN |optimize,opt| (|x|)
-  (PROG (|ISTMP#1| |ISTMP#2| |argl| |ISTMP#3| |body| |a| |y| |op|)
-    (RETURN
-      (SEQ (IF (ATOM |x|) (EXIT NIL))
-           (IF (BOOT-EQUAL (SPADLET |y| (CAR |x|)) 'QUOTE) (EXIT NIL))
-           (IF (BOOT-EQUAL |y| 'CLOSEDFN) (EXIT NIL))
-           (IF (AND (PAIRP |y|)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCAR |y|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQ (QCAR |ISTMP#1|) 'XLAM)
-                           (PROGN
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (PROGN
-                                    (SPADLET |argl| (QCAR |ISTMP#2|))
-                                    (SPADLET |ISTMP#3|
-                                     (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
-                                     (EQ (QCDR |ISTMP#3|) NIL)
-                                     (PROGN
-                                       (SPADLET |body|
-                                        (QCAR |ISTMP#3|))
-                                       'T)))))))
-                    (PROGN (SPADLET |a| (QCDR |y|)) 'T))
-               (EXIT (SEQ (|optimize| (CDR |x|))
-                          (IF (BOOT-EQUAL |argl| '|ignore|)
-                              (EXIT (RPLAC (CAR |x|) |body|)))
-                          (IF (NULL (<= (LENGTH |argl|) (LENGTH |a|)))
-                              (SEQ (SAY
-                                                                         "length mismatch in XLAM expression")
-                                   (EXIT (PRETTYPRINT |y|)))
-                              NIL)
-                          (EXIT (RPLAC (CAR |x|)
-                                       (|optimize|
-                                        (|optXLAMCond|
-                                         (SUBLIS
-                                          (|pairList| |argl| |a|)
-                                          |body|))))))))
-           (IF (ATOM |y|)
-               (EXIT (SEQ (|optimize| (CDR |x|))
-                          (IF (BOOT-EQUAL |y| '|true|)
-                              (EXIT (RPLAC (CAR |x|) '''T)))
-                          (EXIT (IF (BOOT-EQUAL |y| '|false|)
-                                    (EXIT (RPLAC (CAR |x|) NIL)))))))
-           (IF (BOOT-EQUAL (CAR |y|) 'IF)
-               (SEQ (RPLAC (CAR |x|) (|optIF2COND| |y|))
-                    (EXIT (SPADLET |y| (CAR |x|))))
-               NIL)
-           (IF (SPADLET |op| (GETL (|subrname| (CAR |y|)) 'OPTIMIZE))
-               (EXIT (SEQ (|optimize| (CDR |x|))
-                          (EXIT (RPLAC (CAR |x|)
-                                       (FUNCALL |op|
-                                        (|optimize| (CAR |x|))))))))
-           (RPLAC (CAR |x|) (|optimize| (CAR |x|)))
-           (EXIT (|optimize| (CDR |x|)))))))
-
-(DEFUN |optimize| (|x|) (PROGN (|optimize,opt| |x|) |x|)) 
-
-;
-;subrname u ==
-;  IDENTP u => u
-;  COMPILED_-FUNCTION_-P u or MBPIP u => BPINAME u
-;  nil
-
-(DEFUN |subrname| (|u|)
-  (COND
-    ((IDENTP |u|) |u|)
-    ((OR (COMPILED-FUNCTION-P |u|) (MBPIP |u|)) (BPINAME |u|))
-    ('T NIL)))
-
-;optCatch (x is ["CATCH",g,a]) ==
-;  $InteractiveMode => x
-;  atom a => a
-;  if a is ["SEQ",:s,["THROW", =g,u]] then
-;    changeThrowToExit(s,g) where
-;      changeThrowToExit(s,g) ==
-;        atom s or MEMQ(first s,'(QUOTE SEQ REPEAT COLLECT)) => nil
-;        s is ["THROW", =g,:u] => (rplac(first s,"EXIT"); rplac(rest s,u))
-;        changeThrowToExit(first s,g)
-;        changeThrowToExit(rest s,g)
-;    rplac(rest a,[:s,["EXIT",u]])
-;    ["CATCH",y,a]:= optimize x
-;  if hasNoThrows(a,g)
-;     then (rplac(first x,first a); rplac(rest x,rest a)) where
-;      hasNoThrows(a,g) ==
-;        a is ["THROW", =g,:.] => false
-;        atom a => true
-;        hasNoThrows(first a,g) and hasNoThrows(rest a,g)
-;   else
-;    changeThrowToGo(a,g) where
-;      changeThrowToGo(s,g) ==
-;        atom s or first s='QUOTE => nil
-;        s is ["THROW", =g,u] =>
-;          changeThrowToGo(u,g)
-;          rplac(first s,"PROGN")
-;          rplac(rest s,[["LET",CADR g,u],["GO",CADR g]])
-;        changeThrowToGo(first s,g)
-;        changeThrowToGo(rest s,g)
-;    rplac(first x,"SEQ")
-;    rplac(rest x,[["EXIT",a],CADR g,["EXIT",CADR g]])
-;  x
-
-(DEFUN |optCatch,changeThrowToExit| (|s| |g|)
-  (PROG (|ISTMP#1| |u|)
-    (RETURN
-      (SEQ (IF (OR (ATOM |s|)
-                   (member (CAR |s|) '(QUOTE SEQ REPEAT COLLECT)))
-               (EXIT NIL))
-           (IF (AND (PAIRP |s|) (EQ (QCAR |s|) 'THROW)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |s|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |g|)
-                           (PROGN (SPADLET |u| (QCDR |ISTMP#1|)) 'T))))
-               (EXIT (SEQ (|rplac| (CAR |s|) 'EXIT)
-                          (EXIT (|rplac| (CDR |s|) |u|)))))
-           (|optCatch,changeThrowToExit| (CAR |s|) |g|)
-           (EXIT (|optCatch,changeThrowToExit| (CDR |s|) |g|))))))
-
-(DEFUN |optCatch,hasNoThrows| (|a| |g|)
-  (PROG (|ISTMP#1|)
-    (RETURN
-      (SEQ (IF (AND (PAIRP |a|) (EQ (QCAR |a|) 'THROW)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |a|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |g|))))
-               (EXIT NIL))
-           (IF (ATOM |a|) (EXIT 'T))
-           (EXIT (AND (|optCatch,hasNoThrows| (CAR |a|) |g|)
-                      (|optCatch,hasNoThrows| (CDR |a|) |g|)))))))
-
-(DEFUN |optCatch,changeThrowToGo| (|s| |g|)
-  (PROG (|ISTMP#1| |ISTMP#2| |u|)
-    (RETURN
-      (SEQ (IF (OR (ATOM |s|) (BOOT-EQUAL (CAR |s|) 'QUOTE))
-               (EXIT NIL))
-           (IF (AND (PAIRP |s|) (EQ (QCAR |s|) 'THROW)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |s|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |g|)
-                           (PROGN
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (EQ (QCDR |ISTMP#2|) NIL)
-                                  (PROGN
-                                    (SPADLET |u| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT (SEQ (|optCatch,changeThrowToGo| |u| |g|)
-                          (|rplac| (CAR |s|) 'PROGN)
-                          (EXIT (|rplac| (CDR |s|)
-                                         (CONS
-                                          (CONS 'LET
-                                           (CONS (CADR |g|)
-                                            (CONS |u| NIL)))
-                                          (CONS
-                                           (CONS 'GO
-                                            (CONS (CADR |g|) NIL))
-                                           NIL)))))))
-           (|optCatch,changeThrowToGo| (CAR |s|) |g|)
-           (EXIT (|optCatch,changeThrowToGo| (CDR |s|) |g|))))))
-
-(DEFUN |optCatch| (|x|)
-  (PROG (|g| |ISTMP#1| |ISTMP#2| |ISTMP#3| |ISTMP#4| |ISTMP#5| |u| |s|
-             |LETTMP#1| |y| |a|)
-    (DECLARE (SPECIAL |$InteractiveMode|))
-    (RETURN
-      (SEQ (PROGN
-             (COND ((EQ (CAR |x|) 'CATCH) (CAR |x|)))
-             (SPADLET |g| (CADR |x|))
-             (SPADLET |a| (CADDR |x|))
-             (COND
-               (|$InteractiveMode| |x|)
-               ((ATOM |a|) |a|)
-               ('T
-                (COND
-                  ((AND (PAIRP |a|) (EQ (QCAR |a|) 'SEQ)
-                        (PROGN
-                          (SPADLET |ISTMP#1| (QCDR |a|))
-                          (AND (PAIRP |ISTMP#1|)
-                               (PROGN
-                                 (SPADLET |ISTMP#2|
-                                          (REVERSE |ISTMP#1|))
-                                 'T)
-                               (PAIRP |ISTMP#2|)
-                               (PROGN
-                                 (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCAR |ISTMP#3|) 'THROW)
-                                      (PROGN
-                                        (SPADLET |ISTMP#4|
-                                         (QCDR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
-                                         (EQUAL (QCAR |ISTMP#4|) |g|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#5|
-                                            (QCDR |ISTMP#4|))
-                                           (AND (PAIRP |ISTMP#5|)
-                                            (EQ (QCDR |ISTMP#5|) NIL)
-                                            (PROGN
-                                              (SPADLET |u|
-                                               (QCAR |ISTMP#5|))
-                                              'T)))))))
-                               (PROGN
-                                 (SPADLET |s| (QCDR |ISTMP#2|))
-                                 'T)
-                               (PROGN (SPADLET |s| (NREVERSE |s|)) 'T))))
-                   (|optCatch,changeThrowToExit| |s| |g|)
-                   (|rplac| (CDR |a|)
-                            (APPEND |s|
-                                    (CONS (CONS 'EXIT (CONS |u| NIL))
-                                     NIL)))
-                   (SPADLET |LETTMP#1| (|optimize| |x|))
-                   (COND
-                     ((EQ (CAR |LETTMP#1|) 'CATCH) (CAR |LETTMP#1|)))
-                   (SPADLET |y| (CADR |LETTMP#1|))
-                   (SPADLET |a| (CADDR |LETTMP#1|)) |LETTMP#1|))
-                (COND
-                  ((|optCatch,hasNoThrows| |a| |g|)
-                   (|rplac| (CAR |x|) (CAR |a|))
-                   (|rplac| (CDR |x|) (CDR |a|)))
-                  ('T (|optCatch,changeThrowToGo| |a| |g|)
-                   (|rplac| (CAR |x|) 'SEQ)
-                   (|rplac| (CDR |x|)
-                            (CONS (CONS 'EXIT (CONS |a| NIL))
-                                  (CONS (CADR |g|)
-                                        (CONS
-                                         (CONS 'EXIT
-                                          (CONS (CADR |g|) NIL))
-                                         NIL))))))
-                |x|)))))))
-
-;optSPADCALL(form is ['SPADCALL,:argl]) ==
-;  null $InteractiveMode => form
-;  -- last arg is function/env, but may be a form
-;  argl is [:argl,fun] =>
-;    fun is ['ELT,dom,slot] or fun is ['LISPELT,dom,slot] =>
-;      optCall ['call,['ELT,dom,slot],:argl]
-;    form
-;  form
-
-(DEFUN |optSPADCALL| (|form|)
-  (PROG (|fun| |argl| |ISTMP#1| |dom| |ISTMP#2| |slot|)
-    (DECLARE (SPECIAL |$InteractiveMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |argl| (CDR |form|))
-        (COND
-          ((NULL |$InteractiveMode|) |form|)
-          ((AND (PAIRP |argl|)
-                (PROGN (SPADLET |ISTMP#1| (REVERSE |argl|)) 'T)
-                (PAIRP |ISTMP#1|)
-                (PROGN
-                  (SPADLET |fun| (QCAR |ISTMP#1|))
-                  (SPADLET |argl| (QCDR |ISTMP#1|))
-                  'T)
-                (PROGN (SPADLET |argl| (NREVERSE |argl|)) 'T))
-           (COND
-             ((OR (AND (PAIRP |fun|) (EQ (QCAR |fun|) 'ELT)
-                       (PROGN
-                         (SPADLET |ISTMP#1| (QCDR |fun|))
-                         (AND (PAIRP |ISTMP#1|)
-                              (PROGN
-                                (SPADLET |dom| (QCAR |ISTMP#1|))
-                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
-                                     (EQ (QCDR |ISTMP#2|) NIL)
-                                     (PROGN
-                                       (SPADLET |slot|
-                                        (QCAR |ISTMP#2|))
-                                       'T))))))
-                  (AND (PAIRP |fun|) (EQ (QCAR |fun|) 'LISPELT)
-                       (PROGN
-                         (SPADLET |ISTMP#1| (QCDR |fun|))
-                         (AND (PAIRP |ISTMP#1|)
-                              (PROGN
-                                (SPADLET |dom| (QCAR |ISTMP#1|))
-                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
-                                     (EQ (QCDR |ISTMP#2|) NIL)
-                                     (PROGN
-                                       (SPADLET |slot|
-                                        (QCAR |ISTMP#2|))
-                                       'T)))))))
-              (|optCall|
-                  (CONS '|call|
-                        (CONS (CONS 'ELT
-                                    (CONS |dom| (CONS |slot| NIL)))
-                              |argl|))))
-             ('T |form|)))
-          ('T |form|))))))
-
-;optCall (x is ["call",:u]) ==
-;  -- destructively optimizes this new x
-;  x:= optimize [u]
-;  -- next should happen only as result of macro expansion
-;  atom first x => first x
-;  [fn,:a]:= first x
-;  atom fn => (RPLAC(rest x,a); RPLAC(first x,fn))
-;  fn is ["PAC",:.] => optPackageCall(x,fn,a)
-;  fn is ["applyFun",name] =>
-;    (RPLAC(first x,"SPADCALL"); RPLAC(rest x,[:a,name]); x)
-;  fn is [q,R,n] and MEMQ(q,'(ELT QREFELT CONST)) =>
-;    not $bootStrapMode and (w:= optCallSpecially(q,x,n,R)) => w
-;    q="CONST" =>
-;--+
-;      ["spadConstant",R,n]
-;    --putInLocalDomainReferences will change this to ELT or QREFELT
-;    RPLAC(first x,"SPADCALL")
-;    if $QuickCode then RPLACA(fn,"QREFELT")
-;    RPLAC(rest x,[:a,fn])
-;    x
-;  systemErrorHere '"optCall"
-
-(DEFUN |optCall| (|x|)
-  (PROG (|u| |LETTMP#1| |fn| |a| |name| |q| |ISTMP#1| R |ISTMP#2| |n|
-             |w|)
-    (DECLARE (SPECIAL |$QuickCode| |$bootStrapMode|))
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR |x|) '|call|) (CAR |x|)))
-        (SPADLET |u| (CDR |x|))
-        (SPADLET |x| (|optimize| (CONS |u| NIL)))
-        (COND
-          ((ATOM (CAR |x|)) (CAR |x|))
-          ('T (SPADLET |LETTMP#1| (CAR |x|))
-           (SPADLET |fn| (CAR |LETTMP#1|))
-           (SPADLET |a| (CDR |LETTMP#1|))
-           (COND
-             ((ATOM |fn|) (RPLAC (CDR |x|) |a|) (RPLAC (CAR |x|) |fn|))
-             ((AND (PAIRP |fn|) (EQ (QCAR |fn|) 'PAC))
-              (|optPackageCall| |x| |fn| |a|))
-             ((AND (PAIRP |fn|) (EQ (QCAR |fn|) '|applyFun|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |fn|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN (SPADLET |name| (QCAR |ISTMP#1|)) 'T))))
-              (RPLAC (CAR |x|) 'SPADCALL)
-              (RPLAC (CDR |x|) (APPEND |a| (CONS |name| NIL))) |x|)
-             ((AND (PAIRP |fn|)
-                   (PROGN
-                     (SPADLET |q| (QCAR |fn|))
-                     (SPADLET |ISTMP#1| (QCDR |fn|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET R (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |n| (QCAR |ISTMP#2|))
-                                   'T)))))
-                   (member |q| '(ELT QREFELT CONST)))
-              (COND
-                ((AND (NULL |$bootStrapMode|)
-                      (SPADLET |w| (|optCallSpecially| |q| |x| |n| R)))
-                 |w|)
-                ((BOOT-EQUAL |q| 'CONST)
-                 (CONS '|spadConstant| (CONS R (CONS |n| NIL))))
-                ('T (RPLAC (CAR |x|) 'SPADCALL)
-                 (COND (|$QuickCode| (RPLACA |fn| 'QREFELT)))
-                 (RPLAC (CDR |x|) (APPEND |a| (CONS |fn| NIL))) |x|)))
-             ('T (|systemErrorHere| "optCall")))))))))
-
-;optCallSpecially(q,x,n,R) ==
-;    y:= LASSOC(R,$specialCaseKeyList) => optSpecialCall(x,y,n)
-;    MEMQ(KAR R,$optimizableConstructorNames) => optSpecialCall(x,R,n)
-;    (y:= get(R,"value",$e)) and
-;      MEMQ(opOf y.expr,$optimizableConstructorNames) =>
-;        optSpecialCall(x,y.expr,n)
-;    (
-;      (y:= lookup(R,$getDomainCode)) and ([op,y,prop]:= y) and
-;        (yy:= LASSOC(y,$specialCaseKeyList)) =>
-;         optSpecialCall(x,[op,yy,prop],n)) where
-;            lookup(a,l) ==
-;              null l => nil
-;              [l',:l]:= l
-;              l' is ["LET", =a,l',:.] => l'
-;              lookup(a,l)
-;    nil
-
-(DEFUN |optCallSpecially,lookup| (|a| |l|)
-  (PROG (|LETTMP#1| |ISTMP#1| |ISTMP#2| |l'|)
-    (RETURN
-      (SEQ (IF (NULL |l|) (EXIT NIL))
-           (PROGN
-             (SPADLET |LETTMP#1| |l|)
-             (SPADLET |l'| (CAR |LETTMP#1|))
-             (SPADLET |l| (CDR |LETTMP#1|))
-             |LETTMP#1|)
-           (IF (AND (PAIRP |l'|) (EQ (QCAR |l'|) 'LET)
-                    (PROGN
-                      (SPADLET |ISTMP#1| (QCDR |l'|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |a|)
-                           (PROGN
-                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
-                                  (PROGN
-                                    (SPADLET |l'| (QCAR |ISTMP#2|))
-                                    'T))))))
-               (EXIT |l'|))
-           (EXIT (|optCallSpecially,lookup| |a| |l|))))))
-
-(DEFUN |optCallSpecially| (|q| |x| |n| R)
-  (declare (ignore |q|))
-  (PROG (|LETTMP#1| |op| |y| |prop| |yy|)
-    (DECLARE (SPECIAL |$specialCaseKeyList| |$getDomainCode| |$e|
-                      |$optimizableConstructorNames|))
-    (RETURN
-      (COND
-        ((SPADLET |y| (LASSOC R |$specialCaseKeyList|))
-         (|optSpecialCall| |x| |y| |n|))
-        ((member (KAR R) |$optimizableConstructorNames|)
-         (|optSpecialCall| |x| R |n|))
-        ((AND (SPADLET |y| (|get| R '|value| |$e|))
-              (member (|opOf| (CAR |y|)) |$optimizableConstructorNames|))
-         (|optSpecialCall| |x| (CAR |y|) |n|))
-        ((AND (SPADLET |y|
-                       (|optCallSpecially,lookup| R |$getDomainCode|))
-              (PROGN
-                (SPADLET |LETTMP#1| |y|)
-                (SPADLET |op| (CAR |LETTMP#1|))
-                (SPADLET |y| (CADR |LETTMP#1|))
-                (SPADLET |prop| (CADDR |LETTMP#1|))
-                |LETTMP#1|)
-              (SPADLET |yy| (LASSOC |y| |$specialCaseKeyList|)))
-         (|optSpecialCall| |x|
-             (CONS |op| (CONS |yy| (CONS |prop| NIL))) |n|))
-        ('T NIL)))))
-
-;optCallEval u ==
-;  u is ["List",:.] => List Integer()
-;  u is ["Vector",:.] => Vector Integer()
-;  u is ["PrimitiveArray",:.] => PrimitiveArray Integer()
-;  u is ["FactoredForm",:.] => FactoredForm Integer()
-;  u is ["Matrix",:.] => Matrix Integer()
-;  eval u
-
-(DEFUN |optCallEval| (|u|)
-  (COND
-    ((AND (PAIRP |u|) (EQ (QCAR |u|) '|List|)) (|List| (|Integer|)))
-    ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Vector|))
-     (|Vector| (|Integer|)))
-    ((AND (PAIRP |u|) (EQ (QCAR |u|) '|PrimitiveArray|))
-     (|PrimitiveArray| (|Integer|)))
-    ((AND (PAIRP |u|) (EQ (QCAR |u|) '|FactoredForm|))
-     (|FactoredForm| (|Integer|)))
-    ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Matrix|))
-     (|Matrix| (|Integer|)))
-    ('T (|eval| |u|))))
-
-;optCons (x is ["CONS",a,b]) ==
-;  a="NIL" =>
-;    b='NIL => (rplac(first x,'QUOTE); rplac(rest x,['NIL,:'NIL]); x)
-;    b is ['QUOTE,:c] => (rplac(first x,'QUOTE); rplac(rest x,['NIL,:c]); x)
-;    x
-;  a is ['QUOTE,a'] =>
-;    b='NIL => (rplac(first x,'QUOTE); rplac(rest x,[a',:'NIL]); x)
-;    b is ['QUOTE,:c] => (rplac(first x,'QUOTE); rplac(rest x,[a',:c]); x)
-;    x
-;  x
-
-(DEFUN |optCons| (|x|)
-  (PROG (|a| |b| |ISTMP#1| |a'| |c|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR |x|) 'CONS) (CAR |x|)))
-        (SPADLET |a| (CADR |x|))
-        (SPADLET |b| (CADDR |x|))
-        (COND
-          ((BOOT-EQUAL |a| 'NIL)
-           (COND
-             ((BOOT-EQUAL |b| 'NIL) (|rplac| (CAR |x|) 'QUOTE)
-              (|rplac| (CDR |x|) (CONS 'NIL 'NIL)) |x|)
-             ((AND (PAIRP |b|) (EQ (QCAR |b|) 'QUOTE)
-                   (PROGN (SPADLET |c| (QCDR |b|)) 'T))
-              (|rplac| (CAR |x|) 'QUOTE)
-              (|rplac| (CDR |x|) (CONS 'NIL |c|)) |x|)
-             ('T |x|)))
-          ((AND (PAIRP |a|) (EQ (QCAR |a|) 'QUOTE)
-                (PROGN
-                  (SPADLET |ISTMP#1| (QCDR |a|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                       (PROGN (SPADLET |a'| (QCAR |ISTMP#1|)) 'T))))
-           (COND
-             ((BOOT-EQUAL |b| 'NIL) (|rplac| (CAR |x|) 'QUOTE)
-              (|rplac| (CDR |x|) (CONS |a'| 'NIL)) |x|)
-             ((AND (PAIRP |b|) (EQ (QCAR |b|) 'QUOTE)
-                   (PROGN (SPADLET |c| (QCDR |b|)) 'T))
-              (|rplac| (CAR |x|) 'QUOTE)
-              (|rplac| (CDR |x|) (CONS |a'| |c|)) |x|)
-             ('T |x|)))
-          ('T |x|))))))
-
-;optSpecialCall(x,y,n) ==
-;  yval := optCallEval y
-;  CAAAR x="CONST" =>
-;    KAR yval.n = function Undef =>
-;      keyedSystemError("S2GE0016",['"optSpecialCall",
-;        '"invalid constant"])
-;    MKQ yval.n
-;  fn := GET(compileTimeBindingOf first yval.n,'SPADreplace) =>
-;    rplac(rest x,CDAR x)
-;    rplac(first x,fn)
-;    if fn is ["XLAM",:.] then x:=first optimize [x]
-;    x is ["EQUAL",:args] => RPLACW(x,DEF_-EQUAL args)
-;                --DEF-EQUAL is really an optimiser
-;    x
-;  [fn,:a]:= first x
-;  RPLAC(first x,"SPADCALL")
-;  if $QuickCode then RPLACA(fn,"QREFELT")
-;  RPLAC(rest x,[:a,fn])
-;  x
-
-(DEFUN |optSpecialCall| (|x| |y| |n|)
-  (PROG (|yval| |args| |LETTMP#1| |fn| |a|)
-    (DECLARE (SPECIAL |$QuickCode|))
-    (RETURN
-      (PROGN
-        (SPADLET |yval| (|optCallEval| |y|))
-        (COND
-          ((BOOT-EQUAL (CAAAR |x|) 'CONST)
-           (COND
-             ((BOOT-EQUAL (KAR (ELT |yval| |n|)) (|function| |Undef|))
-              (|keyedSystemError| 'S2GE0016
-                  (CONS "optSpecialCall" (CONS "invalid constant" NIL))))
-             ('T (MKQ (ELT |yval| |n|)))))
-          ((SPADLET |fn|
-                    (GETL (|compileTimeBindingOf|
-                              (CAR (ELT |yval| |n|)))
-                          '|SPADreplace|))
-           (|rplac| (CDR |x|) (CDAR |x|)) (|rplac| (CAR |x|) |fn|)
-           (COND
-             ((AND (PAIRP |fn|) (EQ (QCAR |fn|) 'XLAM))
-              (SPADLET |x| (CAR (|optimize| (CONS |x| NIL))))))
-           (COND
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'EQUAL)
-                   (PROGN (SPADLET |args| (QCDR |x|)) 'T))
-              (RPLACW |x| (DEF-EQUAL |args|)))
-             ('T |x|)))
-          ('T (SPADLET |LETTMP#1| (CAR |x|))
-           (SPADLET |fn| (CAR |LETTMP#1|))
-           (SPADLET |a| (CDR |LETTMP#1|)) (RPLAC (CAR |x|) 'SPADCALL)
-           (COND (|$QuickCode| (RPLACA |fn| 'QREFELT)))
-           (RPLAC (CDR |x|) (APPEND |a| (CONS |fn| NIL))) |x|))))))
-
-;compileTimeBindingOf u ==
-;  NULL(name:= BPINAME u)  => keyedSystemError("S2OO0001",[u])
-;  name="Undef" => MOAN "optimiser found unknown function"
-;  name
-
-(DEFUN |compileTimeBindingOf| (|u|)
-  (PROG (|name|)
-    (RETURN
-      (COND
-        ((NULL (SPADLET |name| (BPINAME |u|)))
-         (|keyedSystemError| 'S2OO0001 (CONS |u| NIL)))
-        ((BOOT-EQUAL |name| '|Undef|)
-         (MOAN "optimiser found unknown function"))
-        ('T |name|)))))
-
-;optMkRecord ["mkRecord",:u] ==
-;  u is [x] => ["LIST",x]
-;  #u=2 => ["CONS",:u]
-;  ["VECTOR",:u]
-
-(DEFUN |optMkRecord| (G166580)
-  (PROG (|u| |x|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G166580) '|mkRecord|) (CAR G166580)))
-        (SPADLET |u| (CDR G166580))
-        (COND
-          ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
-                (PROGN (SPADLET |x| (QCAR |u|)) 'T))
-           (CONS 'LIST (CONS |x| NIL)))
-          ((EQL (|#| |u|) 2) (CONS 'CONS |u|))
-          ('T (CONS 'VECTOR |u|)))))))
-
-;optCond (x is ['COND,:l]) ==
-;  if l is [a,[aa,b]] and TruthP aa and b is ["COND",:c] then
-;    RPLACD(rest x,c)
-;  if l is [[p1,:c1],[p2,:c2],:.] then
-;    if (p1 is ['NULL,p1'] and p1' = p2) or (p2 is ['NULL,p2'] and p2' = p1) then
-;      l:=[[p1,:c1],['(QUOTE T),:c2]]
-;      RPLACD( x,l)
-;    c1 is ['NIL] and p2 = '(QUOTE T) and first c2 = '(QUOTE T) =>
-;      p1 is ['NULL,p1']=> return p1'
-;      return ['NULL,p1]
-;  l is [[p1,:c1],[p2,:c2],[p3,:c3]] and TruthP p3 =>
-;    EqualBarGensym(c1,c3) =>
-;      ["COND",[["OR",p1,["NULL",p2]],:c1],[['QUOTE,true],:c2]]
-;    EqualBarGensym(c1,c2) => ["COND",[["OR",p1,p2],:c1],[['QUOTE,true],:c3]]
-;    x
-;  for y in tails l repeat
-;    while y is [[a1,c1],[a2,c2],:y'] and EqualBarGensym(c1,c2) repeat
-;      a:=['OR,a1,a2]
-;      RPLAC(first first y,a)
-;      RPLAC(rest y,y')
-;  x
-
-(DEFUN |optCond| (|x|)
-  (PROG (|aa| |b| |c| |p2'| |l| |p1'| |p1| |p2| |p3| |c3| |ISTMP#1|
-              |a1| |ISTMP#2| |c1| |ISTMP#3| |ISTMP#4| |a2| |ISTMP#5|
-              |c2| |y'| |a|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |l| (CDR |x|))
-             (COND
-               ((AND (PAIRP |l|)
-                     (PROGN
-                       (SPADLET |a| (QCAR |l|))
-                       (SPADLET |ISTMP#1| (QCDR |l|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                            (PROGN
-                              (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (PROGN
-                                     (SPADLET |aa| (QCAR |ISTMP#2|))
-                                     (SPADLET |ISTMP#3|
-                                      (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCDR |ISTMP#3|) NIL)
-                                      (PROGN
-                                        (SPADLET |b| (QCAR |ISTMP#3|))
-                                        'T)))))))
-                     (|TruthP| |aa|) (PAIRP |b|) (EQ (QCAR |b|) 'COND)
-                     (PROGN (SPADLET |c| (QCDR |b|)) 'T))
-                (RPLACD (CDR |x|) |c|)))
-             (COND
-               ((AND (PAIRP |l|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCAR |l|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |p1| (QCAR |ISTMP#1|))
-                              (SPADLET |c1| (QCDR |ISTMP#1|))
-                              'T)))
-                     (PROGN
-                       (SPADLET |ISTMP#2| (QCDR |l|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (PROGN
-                                     (SPADLET |p2| (QCAR |ISTMP#3|))
-                                     (SPADLET |c2| (QCDR |ISTMP#3|))
-                                     'T))))))
-                (COND
-                  ((OR (AND (PAIRP |p1|) (EQ (QCAR |p1|) 'NULL)
-                            (PROGN
-                              (SPADLET |ISTMP#1| (QCDR |p1|))
-                              (AND (PAIRP |ISTMP#1|)
-                                   (EQ (QCDR |ISTMP#1|) NIL)
-                                   (PROGN
-                                     (SPADLET |p1'| (QCAR |ISTMP#1|))
-                                     'T)))
-                            (BOOT-EQUAL |p1'| |p2|))
-                       (AND (PAIRP |p2|) (EQ (QCAR |p2|) 'NULL)
-                            (PROGN
-                              (SPADLET |ISTMP#1| (QCDR |p2|))
-                              (AND (PAIRP |ISTMP#1|)
-                                   (EQ (QCDR |ISTMP#1|) NIL)
-                                   (PROGN
-                                     (SPADLET |p2'| (QCAR |ISTMP#1|))
-                                     'T)))
-                            (BOOT-EQUAL |p2'| |p1|)))
-                   (SPADLET |l|
-                            (CONS (CONS |p1| |c1|)
-                                  (CONS (CONS ''T |c2|) NIL)))
-                   (RPLACD |x| |l|)))
-                (COND
-                  ((AND (PAIRP |c1|) (EQ (QCDR |c1|) NIL)
-                        (EQUAL (QCAR |c1|) 'NIL) (BOOT-EQUAL |p2| ''T)
-                        (BOOT-EQUAL (CAR |c2|) ''T))
-                   (COND
-                     ((AND (PAIRP |p1|) (EQ (QCAR |p1|) 'NULL)
-                           (PROGN
-                             (SPADLET |ISTMP#1| (QCDR |p1|))
-                             (AND (PAIRP |ISTMP#1|)
-                                  (EQ (QCDR |ISTMP#1|) NIL)
-                                  (PROGN
-                                    (SPADLET |p1'| (QCAR |ISTMP#1|))
-                                    'T))))
-                      (RETURN |p1'|))
-                     ('T (RETURN (CONS 'NULL (CONS |p1| NIL)))))))))
-             (COND
-               ((AND (PAIRP |l|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCAR |l|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |p1| (QCAR |ISTMP#1|))
-                              (SPADLET |c1| (QCDR |ISTMP#1|))
-                              'T)))
-                     (PROGN
-                       (SPADLET |ISTMP#2| (QCDR |l|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (PROGN
-                                     (SPADLET |p2| (QCAR |ISTMP#3|))
-                                     (SPADLET |c2| (QCDR |ISTMP#3|))
-                                     'T)))
-                            (PROGN
-                              (SPADLET |ISTMP#4| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#4|)
-                                   (EQ (QCDR |ISTMP#4|) NIL)
-                                   (PROGN
-                                     (SPADLET |ISTMP#5|
-                                      (QCAR |ISTMP#4|))
-                                     (AND (PAIRP |ISTMP#5|)
-                                      (PROGN
-                                        (SPADLET |p3| (QCAR |ISTMP#5|))
-                                        (SPADLET |c3| (QCDR |ISTMP#5|))
-                                        'T)))))))
-                     (|TruthP| |p3|))
-                (COND
-                  ((|EqualBarGensym| |c1| |c3|)
-                   (CONS 'COND
-                         (CONS (CONS (CONS 'OR
-                                      (CONS |p1|
-                                       (CONS
-                                        (CONS 'NULL (CONS |p2| NIL))
-                                        NIL)))
-                                     |c1|)
-                               (CONS (CONS (CONS 'QUOTE (CONS 'T NIL))
-                                      |c2|)
-                                     NIL))))
-                  ((|EqualBarGensym| |c1| |c2|)
-                   (CONS 'COND
-                         (CONS (CONS (CONS 'OR
-                                      (CONS |p1| (CONS |p2| NIL)))
-                                     |c1|)
-                               (CONS (CONS (CONS 'QUOTE (CONS 'T NIL))
-                                      |c3|)
-                                     NIL))))
-                  ('T |x|)))
-               ('T
-                (DO ((|y| |l| (CDR |y|))) ((ATOM |y|) NIL)
-                  (SEQ (EXIT (DO ()
-                                 ((NULL (AND (PAIRP |y|)
-                                         (PROGN
-                                           (SPADLET |ISTMP#1|
-                                            (QCAR |y|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (PROGN
-                                              (SPADLET |a1|
-                                               (QCAR |ISTMP#1|))
-                                              (SPADLET |ISTMP#2|
-                                               (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
-                                               (EQ (QCDR |ISTMP#2|)
-                                                NIL)
-                                               (PROGN
-                                                 (SPADLET |c1|
-                                                  (QCAR |ISTMP#2|))
-                                                 'T)))))
-                                         (PROGN
-                                           (SPADLET |ISTMP#3|
-                                            (QCDR |y|))
-                                           (AND (PAIRP |ISTMP#3|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#4|
-                                               (QCAR |ISTMP#3|))
-                                              (AND (PAIRP |ISTMP#4|)
-                                               (PROGN
-                                                 (SPADLET |a2|
-                                                  (QCAR |ISTMP#4|))
-                                                 (SPADLET |ISTMP#5|
-                                                  (QCDR |ISTMP#4|))
-                                                 (AND (PAIRP |ISTMP#5|)
-                                                  (EQ (QCDR |ISTMP#5|)
-                                                   NIL)
-                                                  (PROGN
-                                                    (SPADLET |c2|
-                                                     (QCAR |ISTMP#5|))
-                                                    'T)))))
-                                            (PROGN
-                                              (SPADLET |y'|
-                                               (QCDR |ISTMP#3|))
-                                              'T)))
-                                         (|EqualBarGensym| |c1| |c2|)))
-                                  NIL)
-                               (SEQ (EXIT
-                                     (PROGN
-                                       (SPADLET |a|
-                                        (CONS 'OR
-                                         (CONS |a1| (CONS |a2| NIL))))
-                                       (RPLAC (CAR (CAR |y|)) |a|)
-                                       (RPLAC (CDR |y|) |y'|))))))))
-                |x|)))))))
-
-;AssocBarGensym(key,l) ==
-;  for x in l repeat
-;    PAIRP x =>
-;      EqualBarGensym(key,CAR x) => return x
-
-(DEFUN |AssocBarGensym| (|key| |l|)
-  (PROG ()
-    (RETURN
-      (SEQ (DO ((G166925 |l| (CDR G166925)) (|x| NIL))
-               ((OR (ATOM G166925)
-                    (PROGN (SETQ |x| (CAR G166925)) NIL))
-                NIL)
-             (SEQ (EXIT (COND
-                          ((PAIRP |x|)
-                           (EXIT (COND
-                                   ((|EqualBarGensym| |key| (CAR |x|))
-                                    (EXIT (RETURN |x|))))))))))))))
-
-;EqualBarGensym(x,y) ==
-;  $GensymAssoc: nil
-;  fn(x,y) where
-;    fn(x,y) ==
-;      x=y => true
-;      GENSYMP x and GENSYMP y =>
-;        z:= ASSOC(x,$GensymAssoc) => (y=rest z => true; false)
-;        $GensymAssoc:= [[x,:y],:$GensymAssoc]
-;        true
-;      null x => y is [g] and GENSYMP g
-;      null y => x is [g] and GENSYMP g
-;      atom x or atom y => false
-;      fn(first x,first y) and fn(rest x,rest y)
-
-(DEFUN |EqualBarGensym,fn| (|x| |y|)
-  (PROG (|z| |g|)
-    (DECLARE (SPECIAL |$GensymAssoc|))
-    (RETURN
-      (SEQ (IF (BOOT-EQUAL |x| |y|) (EXIT 'T))
-           (IF (AND (GENSYMP |x|) (GENSYMP |y|))
-               (EXIT (SEQ (IF (SPADLET |z|
-                                       (|assoc| |x| |$GensymAssoc|))
-                              (EXIT (SEQ
-                                     (IF (BOOT-EQUAL |y| (CDR |z|))
-                                      (EXIT 'T))
-                                     (EXIT NIL))))
-                          (SPADLET |$GensymAssoc|
-                                   (CONS (CONS |x| |y|) |$GensymAssoc|))
-                          (EXIT 'T))))
-           (IF (NULL |x|)
-               (EXIT (AND (AND (PAIRP |y|) (EQ (QCDR |y|) NIL)
-                               (PROGN (SPADLET |g| (QCAR |y|)) 'T))
-                          (GENSYMP |g|))))
-           (IF (NULL |y|)
-               (EXIT (AND (AND (PAIRP |x|) (EQ (QCDR |x|) NIL)
-                               (PROGN (SPADLET |g| (QCAR |x|)) 'T))
-                          (GENSYMP |g|))))
-           (IF (OR (ATOM |x|) (ATOM |y|)) (EXIT NIL))
-           (EXIT (AND (|EqualBarGensym,fn| (CAR |x|) (CAR |y|))
-                      (|EqualBarGensym,fn| (CDR |x|) (CDR |y|))))))))
-
-(DEFUN |EqualBarGensym| (|x| |y|)
-  (PROG (|$GensymAssoc|)
-    (DECLARE (SPECIAL |$GensymAssoc|))
-    (RETURN
-      (PROGN
-        (SPADLET |$GensymAssoc| NIL)
-        (|EqualBarGensym,fn| |x| |y|)))))
-
-;--Called early, to change IF to COND
-;
-;optIF2COND ["IF",a,b,c] ==
-;  b is "noBranch" => ["COND",[["NULL",a],c]]
-;  c is "noBranch" => ["COND",[a,b]]
-;  c is ["IF",:.] => ["COND",[a,b],:rest optIF2COND c]
-;  c is ["COND",:p] => ["COND",[a,b],:p]
-;  ["COND",[a,b],[$true,c]]
-
-(DEFUN |optIF2COND| (G166953)
-  (PROG (|a| |b| |c| |p|)
-    (DECLARE (SPECIAL |$true|))
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G166953) 'IF) (CAR G166953)))
-        (SPADLET |a| (CADR G166953))
-        (SPADLET |b| (CADDR G166953))
-        (SPADLET |c| (CADDDR G166953))
-        (COND
-          ((EQ |b| '|noBranch|)
-           (CONS 'COND
-                 (CONS (CONS (CONS 'NULL (CONS |a| NIL))
-                             (CONS |c| NIL))
-                       NIL)))
-          ((EQ |c| '|noBranch|)
-           (CONS 'COND (CONS (CONS |a| (CONS |b| NIL)) NIL)))
-          ((AND (PAIRP |c|) (EQ (QCAR |c|) 'IF))
-           (CONS 'COND
-                 (CONS (CONS |a| (CONS |b| NIL))
-                       (CDR (|optIF2COND| |c|)))))
-          ((AND (PAIRP |c|) (EQ (QCAR |c|) 'COND)
-                (PROGN (SPADLET |p| (QCDR |c|)) 'T))
-           (CONS 'COND (CONS (CONS |a| (CONS |b| NIL)) |p|)))
-          ('T
-           (CONS 'COND
-                 (CONS (CONS |a| (CONS |b| NIL))
-                       (CONS (CONS |$true| (CONS |c| NIL)) NIL)))))))))
-
-;optXLAMCond x ==
-;  x is ["COND",u:= [p,c],:l] =>
-;    (optPredicateIfTrue p => c; ["COND",u,:optCONDtail l])
-;  atom x => x
-;  RPLAC(first x,optXLAMCond first x)
-;  RPLAC(rest x,optXLAMCond rest x)
-;  x
-
-(DEFUN |optXLAMCond| (|x|)
-  (PROG (|ISTMP#1| |ISTMP#2| |p| |ISTMP#3| |c| |u| |l|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'COND)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |p| (QCAR |ISTMP#2|))
-                              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
-                                   (EQ (QCDR |ISTMP#3|) NIL)
-                                   (PROGN
-                                     (SPADLET |c| (QCAR |ISTMP#3|))
-                                     'T)))))
-                     (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T)
-                     (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
-         (COND
-           ((|optPredicateIfTrue| |p|) |c|)
-           ('T (CONS 'COND (CONS |u| (|optCONDtail| |l|))))))
-        ((ATOM |x|) |x|)
-        ('T (RPLAC (CAR |x|) (|optXLAMCond| (CAR |x|)))
-         (RPLAC (CDR |x|) (|optXLAMCond| (CDR |x|))) |x|)))))
-
-;optPredicateIfTrue p ==
-;  p is ['QUOTE,:.] => true
-;  p is [fn,x] and MEMQ(fn,$BasicPredicates) and FUNCALL(fn,x) => true
-;  nil
-
-(DEFUN |optPredicateIfTrue| (|p|)
-  (PROG (|fn| |ISTMP#1| |x|)
-    (DECLARE (SPECIAL |$BasicPredicates|))
-    (RETURN
-      (COND
-        ((AND (PAIRP |p|) (EQ (QCAR |p|) 'QUOTE)) 'T)
-        ((AND (PAIRP |p|)
-              (PROGN
-                (SPADLET |fn| (QCAR |p|))
-                (SPADLET |ISTMP#1| (QCDR |p|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T)))
-              (member |fn| |$BasicPredicates|) (FUNCALL |fn| |x|))
-         'T)
-        ('T NIL)))))
-
-;optCONDtail l ==
-;  null l => nil
-;  [frst:= [p,c],:l']:= l
-;  optPredicateIfTrue p => [[$true,c]]
-;  null rest l => [frst,[$true,["CondError"]]]
-;  [frst,:optCONDtail l']
-
-(DEFUN |optCONDtail| (|l|)
-  (PROG (|frst| |p| |c| |l'|)
-    (DECLARE (SPECIAL |$true|))
-    (RETURN
-      (COND
-        ((NULL |l|) NIL)
-        ('T (SPADLET |frst| (CAR |l|)) (SPADLET |p| (CAAR |l|))
-         (SPADLET |c| (CADAR |l|)) (SPADLET |l'| (CDR |l|))
-         (COND
-           ((|optPredicateIfTrue| |p|)
-            (CONS (CONS |$true| (CONS |c| NIL)) NIL))
-           ((NULL (CDR |l|))
-            (CONS |frst|
-                  (CONS (CONS |$true|
-                              (CONS (CONS '|CondError| NIL) NIL))
-                        NIL)))
-           ('T (CONS |frst| (|optCONDtail| |l'|)))))))))
-
-;optSEQ ["SEQ",:l] ==
-;  tryToRemoveSEQ SEQToCOND getRidOfTemps l where
-;    getRidOfTemps l ==
-;      null l => nil
-;      l is [["LET",g,x,:.],:r] and GENSYMP g and 2>numOfOccurencesOf(g,r) =>
-;        getRidOfTemps substitute(x,g,r)
-;      first l="/throwAway" => getRidOfTemps rest l
-;      --this gets rid of unwanted labels generated by declarations in SEQs
-;      [first l,:getRidOfTemps rest l]
-;    SEQToCOND l ==
-;      transform:= [[a,b] for x in l while (x is ["COND",[a,["EXIT",b]]])]
-;      before:= take(#transform,l)
-;      aft:= after(l,before)
-;      null before => ["SEQ",:aft]
-;      null aft => ["COND",:transform,'((QUOTE T) (conderr))]
-;      true => ["COND",:transform,['(QUOTE T),optSEQ ["SEQ",:aft]]]
-;    tryToRemoveSEQ l ==
-;      l is ["SEQ",[op,a]] and MEMQ(op,'(EXIT RETURN THROW)) => a
-;      l
-
-(DEFUN |optSEQ,tryToRemoveSEQ| (|l|)
-  (PROG (|ISTMP#1| |ISTMP#2| |op| |ISTMP#3| |a|)
-    (RETURN
-      (SEQ (IF (AND (AND (PAIRP |l|) (EQ (QCAR |l|) 'SEQ)
-                         (PROGN
-                           (SPADLET |ISTMP#1| (QCDR |l|))
-                           (AND (PAIRP |ISTMP#1|)
-                                (EQ (QCDR |ISTMP#1|) NIL)
-                                (PROGN
-                                  (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
-                                       (PROGN
-                                         (SPADLET |op|
-                                          (QCAR |ISTMP#2|))
-                                         (SPADLET |ISTMP#3|
-                                          (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
-                                          (EQ (QCDR |ISTMP#3|) NIL)
-                                          (PROGN
-                                            (SPADLET |a|
-                                             (QCAR |ISTMP#3|))
-                                            'T))))))))
-                    (member |op| '(EXIT RETURN THROW)))
-               (EXIT |a|))
-           (EXIT |l|)))))
-
-(DEFUN |optSEQ,SEQToCOND| (|l|)
-  (PROG (|ISTMP#1| |ISTMP#2| |a| |ISTMP#3| |ISTMP#4| |ISTMP#5| |b|
-            |transform| |before| |aft|)
-    (RETURN
-      (SEQ (SPADLET |transform|
-                    (PROG (G167164)
-                      (SPADLET G167164 NIL)
-                      (RETURN
-                        (DO ((G167170 |l| (CDR G167170)) (|x| NIL))
-                            ((OR (ATOM G167170)
-                                 (PROGN
-                                   (SETQ |x| (CAR G167170))
-                                   NIL)
-                                 (NULL (AND (PAIRP |x|)
-                                        (EQ (QCAR |x|) 'COND)
-                                        (PROGN
-                                          (SPADLET |ISTMP#1|
-                                           (QCDR |x|))
-                                          (AND (PAIRP |ISTMP#1|)
-                                           (EQ (QCDR |ISTMP#1|) NIL)
-                                           (PROGN
-                                             (SPADLET |ISTMP#2|
-                                              (QCAR |ISTMP#1|))
-                                             (AND (PAIRP |ISTMP#2|)
-                                              (PROGN
-                                                (SPADLET |a|
-                                                 (QCAR |ISTMP#2|))
-                                                (SPADLET |ISTMP#3|
-                                                 (QCDR |ISTMP#2|))
-                                                (AND (PAIRP |ISTMP#3|)
-                                                 (EQ (QCDR |ISTMP#3|)
-                                                  NIL)
-                                                 (PROGN
-                                                   (SPADLET |ISTMP#4|
-                                                    (QCAR |ISTMP#3|))
-                                                   (AND
-                                                    (PAIRP |ISTMP#4|)
-                                                    (EQ
-                                                     (QCAR |ISTMP#4|)
-                                                     'EXIT)
-                                                    (PROGN
-                                                      (SPADLET
-                                                       |ISTMP#5|
-                                                       (QCDR |ISTMP#4|))
-                                                      (AND
-                                                       (PAIRP
-                                                        |ISTMP#5|)
-                                                       (EQ
-                                                        (QCDR
-                                                         |ISTMP#5|)
-                                                        NIL)
-                                                       (PROGN
-                                                         (SPADLET |b|
-                                                          (QCAR
-                                                           |ISTMP#5|))
-                                                         'T))))))))))))))
-                             (NREVERSE0 G167164))
-                          (SEQ (EXIT (SETQ G167164
-                                      (CONS (CONS |a| (CONS |b| NIL))
-                                       G167164))))))))
-           (SPADLET |before| (TAKE (|#| |transform|) |l|))
-           (SPADLET |aft| (|after| |l| |before|))
-           (IF (NULL |before|) (EXIT (CONS 'SEQ |aft|)))
-           (IF (NULL |aft|)
-               (EXIT (CONS 'COND
-                           (APPEND |transform|
-                                   (CONS '('T (|conderr|)) NIL)))))
-           (EXIT (IF 'T
-                     (EXIT (CONS 'COND
-                                 (APPEND |transform|
-                                         (CONS
-                                          (CONS ''T
-                                           (CONS
-                                            (|optSEQ|
-                                             (CONS 'SEQ |aft|))
-                                            NIL))
-                                          NIL))))))))))
-
-(DEFUN |optSEQ,getRidOfTemps| (|l|)
-  (PROG (|ISTMP#1| |ISTMP#2| |g| |ISTMP#3| |x| |r|)
-    (RETURN
-      (SEQ (IF (NULL |l|) (EXIT NIL))
-           (IF (AND (AND (AND (PAIRP |l|)
-                              (PROGN
-                                (SPADLET |ISTMP#1| (QCAR |l|))
-                                (AND (PAIRP |ISTMP#1|)
-                                     (EQ (QCAR |ISTMP#1|) 'LET)
-                                     (PROGN
-                                       (SPADLET |ISTMP#2|
-                                        (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
-                                        (PROGN
-                                          (SPADLET |g|
-                                           (QCAR |ISTMP#2|))
-                                          (SPADLET |ISTMP#3|
-                                           (QCDR |ISTMP#2|))
-                                          (AND (PAIRP |ISTMP#3|)
-                                           (PROGN
-                                             (SPADLET |x|
-                                              (QCAR |ISTMP#3|))
-                                             'T)))))))
-                              (PROGN (SPADLET |r| (QCDR |l|)) 'T))
-                         (GENSYMP |g|))
-                    (> 2 (|numOfOccurencesOf| |g| |r|)))
-               (EXIT (|optSEQ,getRidOfTemps| (MSUBST |x| |g| |r|))))
-           (IF (BOOT-EQUAL (CAR |l|) '|/throwAway|)
-               (EXIT (|optSEQ,getRidOfTemps| (CDR |l|))))
-           (EXIT (CONS (CAR |l|) (|optSEQ,getRidOfTemps| (CDR |l|))))))))
-
-(DEFUN |optSEQ| (G167201)
-  (PROG (|l|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G167201) 'SEQ) (CAR G167201)))
-        (SPADLET |l| (CDR G167201))
-        (|optSEQ,tryToRemoveSEQ|
-            (|optSEQ,SEQToCOND| (|optSEQ,getRidOfTemps| |l|)))))))
-
-;optRECORDELT ["RECORDELT",name,ind,len] ==
-;  len=1 =>
-;    ind=0 => ["QCAR",name]
-;    keyedSystemError("S2OO0002",[ind])
-;  len=2 =>
-;    ind=0 => ["QCAR",name]
-;    ind=1 => ["QCDR",name]
-;    keyedSystemError("S2OO0002",[ind])
-;  ["QVELT",name,ind]
-
-(DEFUN |optRECORDELT| (G167217)
-  (PROG (|name| |ind| |len|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G167217) 'RECORDELT) (CAR G167217)))
-        (SPADLET |name| (CADR G167217))
-        (SPADLET |ind| (CADDR G167217))
-        (SPADLET |len| (CADDDR G167217))
-        (COND
-          ((EQL |len| 1)
-           (COND
-             ((EQL |ind| 0) (CONS 'QCAR (CONS |name| NIL)))
-             ('T (|keyedSystemError| 'S2OO0002 (CONS |ind| NIL)))))
-          ((EQL |len| 2)
-           (COND
-             ((EQL |ind| 0) (CONS 'QCAR (CONS |name| NIL)))
-             ((EQL |ind| 1) (CONS 'QCDR (CONS |name| NIL)))
-             ('T (|keyedSystemError| 'S2OO0002 (CONS |ind| NIL)))))
-          ('T (CONS 'QVELT (CONS |name| (CONS |ind| NIL)))))))))
-
-;optSETRECORDELT ["SETRECORDELT",name,ind,len,expr] ==
-;  len=1 =>
-;    ind=0 => ["PROGN",["RPLACA",name,expr],["QCAR",name]]
-;    keyedSystemError("S2OO0002",[ind])
-;  len=2 =>
-;    ind=0 => ["PROGN",["RPLACA",name,expr],["QCAR",name]]
-;    ind=1 => ["PROGN",["RPLACD",name,expr],["QCDR",name]]
-;    keyedSystemError("S2OO0002",[ind])
-;  ["QSETVELT",name,ind,expr]
-
-(DEFUN |optSETRECORDELT| (G167239)
-  (PROG (|name| |ind| |len| |expr|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G167239) 'SETRECORDELT) (CAR G167239)))
-        (SPADLET |name| (CADR G167239))
-        (SPADLET |ind| (CADDR G167239))
-        (SPADLET |len| (CADDDR G167239))
-        (SPADLET |expr| (CAR (CDDDDR G167239)))
-        (COND
-          ((EQL |len| 1)
-           (COND
-             ((EQL |ind| 0)
-              (CONS 'PROGN
-                    (CONS (CONS 'RPLACA
-                                (CONS |name| (CONS |expr| NIL)))
-                          (CONS (CONS 'QCAR (CONS |name| NIL)) NIL))))
-             ('T (|keyedSystemError| 'S2OO0002 (CONS |ind| NIL)))))
-          ((EQL |len| 2)
-           (COND
-             ((EQL |ind| 0)
-              (CONS 'PROGN
-                    (CONS (CONS 'RPLACA
-                                (CONS |name| (CONS |expr| NIL)))
-                          (CONS (CONS 'QCAR (CONS |name| NIL)) NIL))))
-             ((EQL |ind| 1)
-              (CONS 'PROGN
-                    (CONS (CONS 'RPLACD
-                                (CONS |name| (CONS |expr| NIL)))
-                          (CONS (CONS 'QCDR (CONS |name| NIL)) NIL))))
-             ('T (|keyedSystemError| 'S2OO0002 (CONS |ind| NIL)))))
-          ('T
-           (CONS 'QSETVELT
-                 (CONS |name| (CONS |ind| (CONS |expr| NIL))))))))))
-
-;optRECORDCOPY ["RECORDCOPY",name,len] ==
-;  len=1 => ["LIST",["CAR",name]]
-;  len=2 => ["CONS",["CAR",name],["CDR",name]]
-;  ["MOVEVEC",["MAKE_-ARRAY",len],name]
-
-(DEFUN |optRECORDCOPY| (G167262)
-  (PROG (|name| |len|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G167262) 'RECORDCOPY) (CAR G167262)))
-        (SPADLET |name| (CADR G167262))
-        (SPADLET |len| (CADDR G167262))
-        (COND
-          ((EQL |len| 1)
-           (CONS 'LIST (CONS (CONS 'CAR (CONS |name| NIL)) NIL)))
-          ((EQL |len| 2)
-           (CONS 'CONS
-                 (CONS (CONS 'CAR (CONS |name| NIL))
-                       (CONS (CONS 'CDR (CONS |name| NIL)) NIL))))
-          ('T
-           (CONS 'replace
-                 (CONS (CONS 'make-array (CONS |len| NIL))
-                       (CONS |name| NIL)))))))))
-
-;--mkRecordAccessFunction(ind,len) ==
-;--  stringOfDs:= $EmptyString
-;--  for i in 0..(ind-1) do stringOfDs:= STRCONC(stringOfDs,PNAME "D")
-;--  prefix:= if ind=len-1 then PNAME "C" else PNAME "CA"
-;--  if $QuickCode then prefix:=STRCONC("Q",prefix)
-;--  INTERN(STRCONC(prefix,stringOfDs,PNAME "R"))
-;
-;optSuchthat [.,:u] == ["SUCHTHAT",:u]
-
-(DEFUN |optSuchthat| (G167278)
-  (PROG (|u|)
-    (RETURN
-      (PROGN (SPADLET |u| (CDR G167278)) (CONS 'SUCHTHAT |u|)))))
-
-;optMINUS u ==
-;  u is ['MINUS,v] =>
-;    NUMBERP v => -v
-;    u
-;  u
-
-(DEFUN |optMINUS| (|u|)
-  (PROG (|ISTMP#1| |v|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'MINUS)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
-         (COND ((NUMBERP |v|) (SPADDIFFERENCE |v|)) ('T |u|)))
-        ('T |u|)))))
-
-;optQSMINUS u ==
-;  u is ['QSMINUS,v] =>
-;    NUMBERP v => -v
-;    u
-;  u
-
-(DEFUN |optQSMINUS| (|u|)
-  (PROG (|ISTMP#1| |v|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QSMINUS)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
-         (COND ((NUMBERP |v|) (SPADDIFFERENCE |v|)) ('T |u|)))
-        ('T |u|)))))
-
-;opt_- u ==
-;  u is ['_-,v] =>
-;    NUMBERP v => -v
-;    u
-;  u
-
-(DEFUN |opt-| (|u|)
-  (PROG (|ISTMP#1| |v|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) '-)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
-                     (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
-         (COND ((NUMBERP |v|) (SPADDIFFERENCE |v|)) ('T |u|)))
-        ('T |u|)))))
-
-;optLESSP u ==
-;  u is ['LESSP,a,b] =>
-;    b = 0 => ['MINUSP,a]
-;    ['GREATERP,b,a]
-;  u
-
-(DEFUN |optLESSP| (|u|)
-  (PROG (|ISTMP#1| |a| |ISTMP#2| |b|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'LESSP)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |a| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) 'T))))))
-         (COND
-           ((EQL |b| 0) (CONS 'MINUSP (CONS |a| NIL)))
-           ('T (CONS '> (CONS |b| (CONS |a| NIL))))))
-        ('T |u|)))))
-
-;optEQ u ==
-;  u is ['EQ,l,r] =>
-;    NUMBERP l and NUMBERP r => ['QUOTE,EQ(l,r)]
-;    -- That undoes some weird work in Boolean to do with the definition of true
-;    u
-;  u
-
-(DEFUN |optEQ| (|u|)
-  (PROG (|ISTMP#1| |l| |ISTMP#2| |r|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'EQ)
-              (PROGN
-                (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|)
-                     (PROGN
-                       (SPADLET |l| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
-                            (PROGN (SPADLET |r| (QCAR |ISTMP#2|)) 'T))))))
-         (COND
-           ((AND (NUMBERP |l|) (NUMBERP |r|))
-            (CONS 'QUOTE (CONS (EQ |l| |r|) NIL)))
-           ('T |u|)))
-        ('T |u|)))))
-
-;EVALANDFILEACTQ
-; (
-;   for x in '( (call         optCall) _
-;              (SEQ          optSEQ)_
-;              (EQ optEQ)
-;              (MINUS        optMINUS)_
-;              (QSMINUS      optQSMINUS)_
-;              (_-           opt_-)_
-;              (LESSP        optLESSP)_
-;              (SPADCALL     optSPADCALL)_
-;              (_|           optSuchthat)_
-;              (CATCH        optCatch)_
-;              (COND         optCond)_
-;              (mkRecord     optMkRecord)_
-;              (RECORDELT    optRECORDELT)_
-;              (SETRECORDELT optSETRECORDELT)_
-;              (RECORDCOPY   optRECORDCOPY)) _
-;      repeat MAKEPROP(CAR x,'OPTIMIZE,CREATE_-SBC CADR x)
-;          --much quicker to call functions if they have an SBC
-;    )
-;
-
-(EVALANDFILEACTQ
-    (REPEAT (IN |x|
-                '((|call| |optCall|) (SEQ |optSEQ|) (EQ |optEQ|)
-                  (MINUS |optMINUS|) (QSMINUS |optQSMINUS|) (- |opt-|)
-                  (LESSP |optLESSP|) (SPADCALL |optSPADCALL|)
-                  (|\|| |optSuchthat|) (CATCH |optCatch|)
-                  (COND |optCond|) (|mkRecord| |optMkRecord|)
-                  (RECORDELT |optRECORDELT|)
-                  (SETRECORDELT |optSETRECORDELT|)
-                  (RECORDCOPY |optRECORDCOPY|)))
-            (MAKEPROP (CAR |x|) 'OPTIMIZE (CADR |x|))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/g-timer.lisp.pamphlet axiom-20111101/src/interp/g-timer.lisp.pamphlet
--- axiom-20110301a/src/interp/g-timer.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/g-timer.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -617,7 +617,7 @@
   (PROG (|a|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LIST)
+             ((AND (CONSP |code|) (EQ (QCAR |code|) 'LIST)
                    (PROGN (SPADLET |a| (QCDR |code|)) 'T)
                    (> (|#| |a|) 200))
               (PROG (G166311)
diff -Nru axiom-20110301a/src/interp/g-util.lisp.pamphlet axiom-20111101/src/interp/g-util.lisp.pamphlet
--- axiom-20110301a/src/interp/g-util.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/g-util.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -41,14 +41,14 @@
 
 (DEFUN |Identity| (|x|) |x|) 
 
-;length1? l == PAIRP l and not PAIRP QCDR l
+;length1? l == CONSP l and not CONSP QCDR l
 
-(DEFUN |length1?| (|l|) (AND (PAIRP |l|) (NULL (PAIRP (QCDR |l|))))) 
+(DEFUN |length1?| (|l|) (AND (CONSP |l|) (NULL (CONSP (QCDR |l|))))) 
 
-;length2? l == PAIRP l and PAIRP (l := QCDR l) and not PAIRP QCDR l
+;length2? l == CONSP l and CONSP (l := QCDR l) and not CONSP QCDR l
 
 (DEFUN |length2?| (|l|)
- (AND (PAIRP |l|) (PAIRP (SPADLET |l| (QCDR |l|))) (NULL (PAIRP (QCDR |l|))))) 
+ (AND (CONSP |l|) (CONSP (SPADLET |l| (QCDR |l|))) (NULL (CONSP (QCDR |l|))))) 
 
 ;pairList(u,v) == [[x,:y] for x in u for y in v]
 
@@ -117,10 +117,10 @@
     (RETURN
       (SEQ (COND
              ((NULL |alist|) |alist|)
-             ((AND (PAIRP |alist|)
+             ((AND (CONSP |alist|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |alist|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQUAL (QCAR |ISTMP#1|) |prop|)))
                    (PROGN (SPADLET |r| (QCDR |alist|)) 'T))
               (COND
@@ -152,10 +152,10 @@
   (PROG (|ISTMP#1| |a| |y'|)
     (RETURN
       (COND
-        ((AND (PAIRP |y|)
+        ((AND (CONSP |y|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |y|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T)))
               (PROGN (SPADLET |y'| (QCDR |y|)) 'T))
          (COND
@@ -173,10 +173,10 @@
   (PROG (|ISTMP#1| |a| |y'|)
     (RETURN
       (COND
-        ((AND (PAIRP |y|)
+        ((AND (CONSP |y|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |y|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T)))
               (PROGN (SPADLET |y'| (QCDR |y|)) 'T))
          (COND
@@ -201,10 +201,10 @@
              (SPADLET |h| (CAR |y|))
              (SPADLET |t| (CDR |y|))
              |y|
-             (SEQ (IF (AND (PAIRP |t|)
+             (SEQ (IF (AND (CONSP |t|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCAR |t|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (PROGN
                                     (SPADLET |a| (QCAR |ISTMP#1|))
                                     'T)))
@@ -447,7 +447,7 @@
   (COND
     ((|isPatternVar| |x|) (CONS |x| NIL))
     ((ATOM |x|) NIL)
-    ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)) NIL)
+    ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)) NIL)
     ('T
      (UNIONQ (|listOfPatternIds| (CAR |x|))
              (|listOfPatternIds| (CDR |x|))))))
@@ -489,15 +489,16 @@
 ;  RPLNODE(t,removeZeroOneDestructively first t,
 ;    removeZeroOneDestructively rest t)
 
-(DEFUN |removeZeroOneDestructively| (|t|)
-  (DECLARE (SPECIAL |$One| |$Zero|))
-  (COND
-    ((BOOT-EQUAL |t| |$Zero|) 0)
-    ((BOOT-EQUAL |t| |$One|) 1)
-    ((ATOM |t|) |t|)
-    ('T
-     (RPLNODE |t| (|removeZeroOneDestructively| (CAR |t|))
-              (|removeZeroOneDestructively| (CDR |t|))))))
+(defun |removeZeroOneDestructively| (tt)
+ (declare (special |$One| |$Zero|))
+ (cond
+   ((equal tt |$Zero|) 0)
+   ((equal tt |$One|) 1)
+   ((atom tt) tt)
+   (t
+    (rplaca tt (|removeZeroOneDestructively| (car tt)))
+    (rplacd tt (|removeZeroOneDestructively| (cdr tt)))
+    tt)))
 
 ;flattenSexpr s ==
 ;  null s => s
@@ -784,48 +785,48 @@
       (COND
         ((ATOM |t|) (CONS |t| NIL))
         ((NULL |t|) (CONS "()" NIL))
-        ((AND (PAIRP |t|)
+        ((AND (CONSP |t|)
               (PROGN
                 (SPADLET |p| (QCAR |t|))
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |sel| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |arg| (QCAR |ISTMP#2|))
                               'T)))))
               (|member| |p| '(|:| ":")))
          (CONS |sel|
                (CONS ": " (|formatUnabbreviated| |arg|))))
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Union|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Union|)
               (PROGN (SPADLET |args| (QCDR |t|)) 'T))
          (CONS '|Union|
                (CONS "("
                      (APPEND (|formatUnabbreviatedTuple| |args|)
                              (CONS ")" NIL)))))
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Mapping|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Mapping|)
               (PROGN (SPADLET |args| (QCDR |t|)) 'T))
          (|formatUnabbreviatedSig| |args|))
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Record|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Record|)
               (PROGN (SPADLET |args| (QCDR |t|)) 'T))
          (CONS '|Record|
                (CONS "("
                      (APPEND (|formatUnabbreviatedTuple| |args|)
                              (CONS ")" NIL)))))
-        ((AND (PAIRP |t|) (EQ (QCDR |t|) NIL)
+        ((AND (CONSP |t|) (EQ (QCDR |t|) NIL)
               (PROGN (SPADLET |arg| (QCAR |t|)) 'T))
          |t|)
-        ((AND (PAIRP |t|)
+        ((AND (CONSP |t|)
               (PROGN
                 (SPADLET |arg| (QCAR |t|))
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |arg1| (QCAR |ISTMP#1|)) 'T))))
          (CONS |arg|
                (CONS " " (|formatUnabbreviated| |arg1|))))
-        ((AND (PAIRP |t|)
+        ((AND (CONSP |t|)
               (PROGN
                 (SPADLET |arg| (QCAR |t|))
                 (SPADLET |args| (QCDR |t|))
@@ -899,7 +900,7 @@
   (PROG (|op| |argl| |nargl| |ISTMP#1| BRACKET |r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
@@ -939,11 +940,11 @@
                                             (CONS (|parse2Outform| |y|)
                                              G1415))))))))
                              NIL)))
-                ((AND (BOOT-EQUAL |op| '|brace|) (PAIRP |nargl|)
+                ((AND (BOOT-EQUAL |op| '|brace|) (CONSP |nargl|)
                       (EQ (QCDR |nargl|) NIL)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCAR |nargl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET BRACKET (QCAR |ISTMP#1|))
                                (SPADLET |r| (QCDR |ISTMP#1|))
@@ -994,10 +995,10 @@
                  (|augProplistInteractive| |proplist| |prop| |val|))
              ('T
               (DO ()
-                  ((NULL (AND (PAIRP |proplist|)
+                  ((NULL (AND (CONSP |proplist|)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCAR |proplist|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQUAL (QCAR |ISTMP#1|) |prop|)))
                               (PROGN
                                 (SPADLET |proplist'| (QCDR |proplist|))
@@ -1207,12 +1208,12 @@
     ('T |x|)))
 
 ;isDomain a ==
-;  PAIRP a and VECP(CAR a) and
+;  CONSP a and VECP(CAR a) and
 ;    MEMBER(CAR(a).0, $domainTypeTokens)
 
 (DEFUN |isDomain| (|a|)
   (DECLARE (SPECIAL |$domainTypeTokens|))
-  (AND (PAIRP |a|) (VECP (CAR |a|))
+  (AND (CONSP |a|) (VECP (CAR |a|))
        (|member| (ELT (CAR |a|) 0) |$domainTypeTokens|)))
 
 ;$htHash      := MAKE_-HASH_-TABLE()
diff -Nru axiom-20110301a/src/interp/hashcode.lisp.pamphlet axiom-20111101/src/interp/hashcode.lisp.pamphlet
--- axiom-20110301a/src/interp/hashcode.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/hashcode.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -75,22 +75,22 @@
              ((STRINGP |type|)
               (|hashCombine| (|hashString| |type|)
                   (|hashString| "Enumeration")))
-             ((AND (PAIRP |type|) (EQ (QCAR |type|) 'QUOTE)
+             ((AND (CONSP |type|) (EQ (QCAR |type|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |type|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |val| (QCAR |ISTMP#1|)) 'T))))
               (|hashType| |val| |percentHash|))
-             ((AND (PAIRP |type|) (EQ (QCDR |type|) NIL)
+             ((AND (CONSP |type|) (EQ (QCDR |type|) NIL)
                    (PROGN (SPADLET |dom| (QCAR |type|)) 'T))
               (|hashString| (SYMBOL-NAME |dom|)))
-             ((AND (PAIRP |type|) (EQ (QCAR |type|) '|:|)
+             ((AND (CONSP |type|) (EQ (QCAR |type|) '|:|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |type|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |type2| (QCAR |ISTMP#2|))
diff -Nru axiom-20110301a/src/interp/htcheck.lisp.pamphlet axiom-20111101/src/interp/htcheck.lisp.pamphlet
--- axiom-20110301a/src/interp/htcheck.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/htcheck.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -111,7 +111,7 @@
                                  ((PROGN
                                     (SPADLET |ISTMP#1|
                                      (|getHtMacroItem| |line|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |string|
                                         (QCAR |ISTMP#1|))
@@ -228,11 +228,11 @@
         ('T
          (SPADLET |lookupOn|
                   (COND
-                    ((AND (PAIRP |form|)
+                    ((AND (CONSP |form|)
                           (PROGN
                             (SPADLET |key| (QCAR |form|))
                             (SPADLET |ISTMP#1| (QCDR |form|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (EQ (QCDR |ISTMP#1|) NIL)
                                  (PROGN
                                    (SPADLET |arg| (QCAR |ISTMP#1|))
diff -Nru axiom-20110301a/src/interp/ht-util.lisp.pamphlet axiom-20111101/src/interp/ht-util.lisp.pamphlet
--- axiom-20110301a/src/interp/ht-util.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/ht-util.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -408,7 +408,7 @@
 ;iht line ==
 ;-- issue a single hyperteTeX line, or a group of lines
 ;  $newPage => nil
-;  PAIRP line =>
+;  CONSP line =>
 ;    $htLineList := NCONC(nreverse mapStringize COPY_-LIST line, $htLineList)
 ;  $htLineList := [basicStringize line, :$htLineList]
 
@@ -416,7 +416,7 @@
   (declare (special |$htLineList| |$newPage|))
   (COND
     (|$newPage| NIL)
-    ((PAIRP |line|)
+    ((CONSP |line|)
      (SPADLET |$htLineList|
               (NCONC (NREVERSE (|mapStringize| (COPY-LIST |line|)))
                      |$htLineList|)))
@@ -427,7 +427,7 @@
 ;bcHt line ==
 ;--line = '"\##1" => harharhar()
 ;  iht line
-;  PAIRP line =>
+;  CONSP line =>
 ;    if $newPage then htpAddToPageDescription($curPage, [['text, :line]])
 ;  if $newPage then htpAddToPageDescription($curPage, [['text, line]])
 
@@ -436,7 +436,7 @@
   (PROGN
     (|iht| |line|)
     (COND
-      ((PAIRP |line|)
+      ((CONSP |line|)
        (COND
          (|$newPage|
              (|htpAddToPageDescription| |$curPage|
@@ -448,11 +448,11 @@
       ('T NIL))))
 
 ;bcIssueHt line ==
-;  PAIRP line => htMakePage1 line
+;  CONSP line => htMakePage1 line
 ;  iht line
 
 (DEFUN |bcIssueHt| (|line|)
-  (COND ((PAIRP |line|) (|htMakePage1| |line|)) ('T (|iht| |line|))))
+  (COND ((CONSP |line|) (|htMakePage1| |line|)) ('T (|iht| |line|))))
 
 ;mapStringize l ==
 ;  ATOM l => l
@@ -1322,40 +1322,40 @@
         ('T (SPADLET |cond| (CAR |condList|))
          (SPADLET |restConds| (CDR |condList|))
          (COND
-           ((OR (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|isDomain|)
+           ((OR (AND (CONSP |cond|) (EQ (QCAR |cond|) '|isDomain|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |cond|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |pv| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |pattern|
                                       (QCAR |ISTMP#2|))
                                      'T))))))
-                (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|ofCategory|)
+                (AND (CONSP |cond|) (EQ (QCAR |cond|) '|ofCategory|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |cond|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |pv| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |pattern|
                                       (QCAR |ISTMP#2|))
                                      'T))))))
-                (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|Satisfies|)
+                (AND (CONSP |cond|) (EQ (QCAR |cond|) '|Satisfies|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |cond|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |pv| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |cond| (QCAR |ISTMP#2|))
@@ -1445,14 +1445,14 @@
         ('T (SPADLET |cond| (CAR |condList|))
          (SPADLET |restConds| (CDR |condList|))
          (COND
-           ((AND (PAIRP |cond|)
+           ((AND (CONSP |cond|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |cond|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |pv| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN
                                  (SPADLET |pattern| (QCAR |ISTMP#2|))
@@ -1492,12 +1492,12 @@
 ;  templateList := [templateParts template for template in templateList]
 ;  [[substLabel(i, template) for template in templateList]
 ;    for i in 1..numLabels] where substLabel(i, template) ==
-;      PAIRP template =>
+;      CONSP template =>
 ;        INTERN CONCAT(first template, PRINC_-TO_-STRING i, rest template)
 ;      template
 
 (DEFUN |htMakeTemplates,substLabel| (|i| |template|)
-  (SEQ (IF (PAIRP |template|)
+  (SEQ (IF (CONSP |template|)
            (EXIT (INTERN (CONCAT (CAR |template|) (PRINC-TO-STRING |i|)
                                  (CDR |template|)))))
        (EXIT |template|)))
@@ -1887,35 +1887,35 @@
                       (PROGN (SETQ |entry| (CAR G167160)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |entry|)
+                            ((AND (CONSP |entry|)
                                   (PROGN
                                     (SPADLET |stringName|
                                      (QCAR |entry|))
                                     (SPADLET |ISTMP#1| (QCDR |entry|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (PROGN
                                           (SPADLET |ISTMP#3|
                                            (QCDR |ISTMP#2|))
-                                          (AND (PAIRP |ISTMP#3|)
+                                          (AND (CONSP |ISTMP#3|)
                                            (PROGN
                                              (SPADLET |ISTMP#4|
                                               (QCDR |ISTMP#3|))
-                                             (AND (PAIRP |ISTMP#4|)
+                                             (AND (CONSP |ISTMP#4|)
                                               (EQ (QCAR |ISTMP#4|)
                                                '|string|)
                                               (PROGN
                                                 (SPADLET |ISTMP#5|
                                                  (QCDR |ISTMP#4|))
-                                                (AND (PAIRP |ISTMP#5|)
+                                                (AND (CONSP |ISTMP#5|)
                                                  (PROGN
                                                    (SPADLET |ISTMP#6|
                                                     (QCDR |ISTMP#5|))
                                                    (AND
-                                                    (PAIRP |ISTMP#6|)
+                                                    (CONSP |ISTMP#6|)
                                                     (PROGN
                                                       (SPADLET
                                                        |spadType|
@@ -1924,7 +1924,7 @@
                                                        |ISTMP#7|
                                                        (QCDR |ISTMP#6|))
                                                       (AND
-                                                       (PAIRP
+                                                       (CONSP
                                                         |ISTMP#7|)
                                                        (EQ
                                                         (QCDR
@@ -1995,18 +1995,18 @@
                 |type| |data| |newType|)
     (RETURN
       (COND
-        ((AND (PAIRP |condList|) (EQ (QCDR |condList|) NIL)
+        ((AND (CONSP |condList|) (EQ (QCDR |condList|) NIL)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |condList|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (EQ (QCAR |ISTMP#1|) '|Satisfies|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |pvar| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |pred| (QCAR |ISTMP#3|))
@@ -2015,19 +2015,19 @@
          (COND
            ((STRINGP |val|) |val|)
            ('T (CONS '(|String|) (|wrap| |s1|)))))
-        ((NULL (AND (PAIRP |condList|) (EQ (QCDR |condList|) NIL)
+        ((NULL (AND (CONSP |condList|) (EQ (QCDR |condList|) NIL)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCAR |condList|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) '|isDomain|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |pvar| (QCAR |ISTMP#2|))
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (SPADLET |pattern|
@@ -2055,7 +2055,7 @@
 
 ;condErrorMsg type ==
 ;  typeString := form2String type
-;  if PAIRP typeString then typeString := APPLY(function CONCAT, typeString)
+;  if CONSP typeString then typeString := APPLY(function CONCAT, typeString)
 ;  CONCAT('"Error: Could not make your input into a ", typeString)
 
 (DEFUN |condErrorMsg| (|type|)
@@ -2064,7 +2064,7 @@
       (PROGN
         (SPADLET |typeString| (|form2String| |type|))
         (COND
-          ((PAIRP |typeString|)
+          ((CONSP |typeString|)
            (SPADLET |typeString|
                     (APPLY (|function| CONCAT) |typeString|))))
         (CONCAT "Error: Could not make your input into a "
@@ -2846,14 +2846,14 @@
         (SPADLET |continue|
                  (COND
                    ((NULL |parts|) NIL)
-                   ((AND (PAIRP |parts|)
+                   ((AND (CONSP |parts|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCAR |parts|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCAR |ISTMP#1|) '|break|)
                                 (PROGN
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |predicate|
@@ -2949,12 +2949,12 @@
  NIL) 
 
 ;htCheck(checker,value) ==
-;  PAIRP checker => htCheckList(checker,parseWord value)
+;  CONSP checker => htCheckList(checker,parseWord value)
 ;  FUNCALL(checker,value)
 
 (DEFUN |htCheck| (|checker| |value|)
   (COND
-    ((PAIRP |checker|) (|htCheckList| |checker| (|parseWord| |value|)))
+    ((CONSP |checker|) (|htCheckList| |checker| (|parseWord| |value|)))
     ('T (FUNCALL |checker| |value|))))
 
 ;parseWord x ==
@@ -3010,11 +3010,11 @@
         (COND
           ((|member| |value| '(|n| |no| N NO)) (SPADLET |value| '|no|)))
         (COND
-          ((AND (PAIRP |checker|)
+          ((AND (CONSP |checker|)
                 (PROGN
                   (SPADLET |n| (QCAR |checker|))
                   (SPADLET |ISTMP#1| (QCDR |checker|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET |m| (QCAR |ISTMP#1|)) 'T)))
                 (INTEGERP |n|))
            (COND
@@ -3240,17 +3240,6 @@
 (DEFUN |htSetExpose| (|htPage|)
   (|htSetNotAvailable| |htPage| ")set expose"))
 
-;htSetKernelProtect htPage ==
-; htSetNotAvailable(htPage,'")set kernel protect")
-
-(DEFUN |htSetKernelProtect| (|htPage|)
-  (|htSetNotAvailable| |htPage| ")set kernel protect"))
-
-;htSetKernelWarn htPage ==
-; htSetNotAvailable(htPage,'")set kernel warn")
-
-(DEFUN |htSetKernelWarn| (|htPage|)
-  (|htSetNotAvailable| |htPage| ")set kernel warn"))
 
 ;htSetOutputCharacters htPage ==
 ;  htSetNotAvailable(htPage,'")set output characters")
@@ -3584,7 +3573,7 @@
              (SPADLET |u| (|dbReadLines| |fn|))
              (SPADLET |lines| "")
              (DO ()
-                 ((NULL (AND (PAIRP |u|)
+                 ((NULL (AND (CONSP |u|)
                              (PROGN
                                (SPADLET |line| (QCAR |u|))
                                (SPADLET |u| (QCDR |u|))
@@ -3884,7 +3873,7 @@
                                      (SEQ
                                       (EXIT
                                        (COND
-                                         ((AND (PAIRP |option|)
+                                         ((AND (CONSP |option|)
                                            (EQ (QCAR |option|)
                                             '|break|))
                                           '|skip|)
@@ -4242,7 +4231,7 @@
              (SPADLET |ss| (|dbNonEmptyPattern| |filter|))
              (SPADLET |s| (|pmTransFilter| |ss|))
              (COND
-               ((AND (PAIRP |s|) (EQ (QCAR |s|) '|error|))
+               ((AND (CONSP |s|) (EQ (QCAR |s|) '|error|))
                 (|bcErrorPage| |s|))
                ((NULL |s|)
                 (|errorPage| NIL
@@ -4361,7 +4350,7 @@
              (SPADLET |s|
                       (|pmTransFilter| (|dbNonEmptyPattern| |filter|)))
              (COND
-               ((AND (PAIRP |s|) (EQ (QCAR |s|) '|error|))
+               ((AND (CONSP |s|) (EQ (QCAR |s|) '|error|))
                 (|bcErrorPage| |s|))
                ((NULL |s|)
                 (|errorPage| NIL
diff -Nru axiom-20110301a/src/interp/i-analy.lisp.pamphlet axiom-20111101/src/interp/i-analy.lisp.pamphlet
--- axiom-20110301a/src/interp/i-analy.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-analy.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -119,64 +119,64 @@
       (COND
         ((OR (STRINGP |t|) (IDENTP |t|)) NIL)
         ((BOOT-EQUAL |t| |$Symbol|) |t|)
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Variable|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Variable|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T))))
          (COND ((BOOT-EQUAL |u| |var|) |t|) ('T NIL)))
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Polynomial|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|Polynomial|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
          |t|)
-        ((AND (PAIRP |t|) (EQ (QCAR |t|) '|RationalFunction|)
+        ((AND (CONSP |t|) (EQ (QCAR |t|) '|RationalFunction|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
          (CONS '|Polynomial| (CONS D NIL)))
-        ((AND (PAIRP |t|)
+        ((AND (CONSP |t|)
               (PROGN
                 (SPADLET |up| (QCAR |t|))
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |t'| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |u| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)))))))
               (member |up| |$univariateDomains|))
          (COND
            ((BOOT-EQUAL |u| |var|) |t|)
            ('T (|getMinimalVariableTower| |var| |t'|))))
-        ((AND (PAIRP |t|)
+        ((AND (CONSP |t|)
               (PROGN
                 (SPADLET |up| (QCAR |t|))
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |u| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |t'| (QCAR |ISTMP#2|)) 'T)))))
               (member |up| |$univariateDomains|))
          (COND
            ((BOOT-EQUAL |u| |var|) |t|)
            ('T (|getMinimalVariableTower| |var| |t'|))))
-        ((AND (PAIRP |t|)
+        ((AND (CONSP |t|)
               (PROGN
                 (SPADLET |mp| (QCAR |t|))
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |u| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |t'| (QCAR |ISTMP#2|)) 'T)))))
               (member |mp| |$multivariateDomains|))
          (COND
@@ -206,7 +206,7 @@
     (DECLARE (SPECIAL |$EmptyMode| |$Symbol|))
     (RETURN
       (COND
-        ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Mapping|)) |m|)
+        ((AND (CONSP |m|) (EQ (QCAR |m|) '|Mapping|)) |m|)
         ('T (SPADLET |defaultMode| |$Symbol|)
          (COND
            ((NULL |m|) |defaultMode|)
@@ -242,17 +242,17 @@
     (DECLARE (SPECIAL |$multivariateDomains| |$QuotientField|))
     (RETURN
       (COND
-        ((AND (PAIRP |m|) (EQUAL (QCAR |m|) |$QuotientField|)
+        ((AND (CONSP |m|) (EQUAL (QCAR |m|) |$QuotientField|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |m|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |op| (QCAR |ISTMP#1|)) 'T))))
          (|polyVarlist| |op|))
-        ((AND (PAIRP |m|)
+        ((AND (CONSP |m|)
               (PROGN
                 (SPADLET |op| (QCAR |m|))
                 (SPADLET |ISTMP#1| (QCDR |m|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
          (COND
            ((|member| |op|
@@ -340,12 +340,12 @@
                         ((EQL 1 |nargs|)
                          (COND
                            ((AND (BOOT-EQUAL |op| 'SEGMENT)
-                                 (PAIRP |target|)
+                                 (CONSP |target|)
                                  (EQ (QCAR |target|)
                                      '|UniversalSegment|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |target|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET S (QCAR |ISTMP#1|))
@@ -385,11 +385,11 @@
                                (|putTarget| (CAR |arglist|) |target|))
                               ('T NIL)))
                            ((AND (BOOT-EQUAL |op| '|equation|)
-                                 (PAIRP |target|)
+                                 (CONSP |target|)
                                  (EQ (QCAR |target|) '|Equation|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |target|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET S (QCAR |ISTMP#1|))
@@ -407,11 +407,11 @@
                                        (|putTarget| |x| S))
                                       ('T NIL))))))
                            ((AND (BOOT-EQUAL |op| '|gauss|)
-                                 (PAIRP |target|)
+                                 (CONSP |target|)
                                  (EQ (QCAR |target|) '|Gaussian|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |target|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET S (QCAR |ISTMP#1|))
@@ -431,13 +431,13 @@
                            ((BOOT-EQUAL |op| '/)
                             (SPADLET |targ|
                                      (COND
-                                       ((AND (PAIRP |target|)
+                                       ((AND (CONSP |target|)
                                          (EQ (QCAR |target|)
                                           '|Fraction|)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCDR |target|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (EQ (QCDR |ISTMP#1|) NIL)
                                             (PROGN
                                               (SPADLET S
@@ -458,11 +458,11 @@
                                        (|putTarget| |x| |targ|))
                                       ('T NIL))))))
                            ((AND (BOOT-EQUAL |op| 'SEGMENT)
-                                 (PAIRP |target|)
+                                 (CONSP |target|)
                                  (EQ (QCAR |target|) '|Segment|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |target|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET S (QCAR |ISTMP#1|))
@@ -480,12 +480,12 @@
                                        (|putTarget| |x| S))
                                       ('T NIL))))))
                            ((AND (BOOT-EQUAL |op| 'SEGMENT)
-                                 (PAIRP |target|)
+                                 (CONSP |target|)
                                  (EQ (QCAR |target|)
                                      '|UniversalSegment|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |target|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET S (QCAR |ISTMP#1|))
@@ -508,7 +508,7 @@
 ;pushDownOnArithmeticVariables(op,target,arglist) ==
 ;  -- tries to push appropriate target information onto variable
 ;  -- occurring in arithmetic expressions
-;  PAIRP(target) and CAR(target) = 'Variable => NIL
+;  CONSP(target) and CAR(target) = 'Variable => NIL
 ;  not MEMQ(op,'(_+ _- _* _*_* _/)) => NIL
 ;  not containsPolynomial(target)   => NIL
 ;  for x in arglist for i in 1.. repeat
@@ -517,7 +517,7 @@
 ;      getValue(x) or (xn = $immediateDataSymbol) => NIL
 ;      t := getMinimalVariableTower(xn,target) or target
 ;      if not getTarget(x) then putTarget(x,t)
-;    PAIRP(x) =>  -- node
+;    CONSP(x) =>  -- node
 ;      [op',:arglist'] := x
 ;      pushDownOnArithmeticVariables(getUnname op',target,arglist')
 ;  arglist
@@ -527,7 +527,7 @@
     (DECLARE (SPECIAL |$immediateDataSymbol|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |target|)
+             ((AND (CONSP |target|)
                    (BOOT-EQUAL (CAR |target|) '|Variable|))
               NIL)
              ((NULL (member |op| '(+ - * ** /))) NIL)
@@ -557,7 +557,7 @@
                                    ((NULL (|getTarget| |x|))
                                     (|putTarget| |x| |t|))
                                    ('T NIL)))))
-                             ((PAIRP |x|) (SPADLET |op'| (CAR |x|))
+                             ((CONSP |x|) (SPADLET |op'| (CAR |x|))
                               (SPADLET |arglist'| (CDR |x|))
                               (|pushDownOnArithmeticVariables|
                                   (|getUnname| |op'|) |target|
@@ -664,6 +664,64 @@
                                     ('T NIL)))))
                      (REVERSE |ok|)))))))))
 
+(SETANDFILEQ |$getUnexposedOperations| 'T)
+
+;getModemapsFromDatabase(op,nargs) ==
+;  $getUnexposedOperations: local := false
+;  startTimingProcess 'diskread
+;  ans := getSystemModemaps(op,nargs)
+;  stopTimingProcess 'diskread
+;  ans
+
+(DEFUN |getModemapsFromDatabase| (|op| |nargs|)
+  (PROG (|$getUnexposedOperations| |ans|)
+    (DECLARE (SPECIAL |$getUnexposedOperations|))
+    (RETURN
+      (PROGN
+        (SPADLET |$getUnexposedOperations| NIL)
+        (|startTimingProcess| '|diskread|)
+        (SPADLET |ans| (|getSystemModemaps| |op| |nargs|))
+        (|stopTimingProcess| '|diskread|)
+        |ans|))))
+
+;getSystemModemaps(op,nargs) ==
+;  mml:= GETDATABASE(op,'OPERATION) =>
+;    mms := NIL
+;    for (x := [[.,:sig],.]) in mml repeat
+;      (NUMBERP nargs) and (nargs ^= #QCDR sig) => 'iterate
+;      $getUnexposedOperations or isFreeFunctionFromMm(x) or
+;        isExposedConstructor(getDomainFromMm(x)) => mms := [x,:mms]
+;      'iterate
+;    mms
+;  nil
+
+(DEFUN |getSystemModemaps| (|op| |nargs|)
+  (PROG (|mml| |sig| |mms|)
+    (DECLARE (SPECIAL |$getUnexposedOperations|))
+    (RETURN
+      (SEQ (COND
+             ((SPADLET |mml| (GETDATABASE |op| 'OPERATION))
+              (SPADLET |mms| NIL)
+              (DO ((G167451 |mml| (CDR G167451)) (|x| NIL))
+                  ((OR (ATOM G167451)
+                       (PROGN (SETQ |x| (CAR G167451)) NIL)
+                       (PROGN
+                         (PROGN (SPADLET |sig| (CDAR |x|)) |x|)
+                         NIL))
+                   NIL)
+                (SEQ (EXIT (COND
+                             ((AND (NUMBERP |nargs|)
+                                   (NEQUAL |nargs| (|#| (QCDR |sig|))))
+                              '|iterate|)
+                             ((OR |$getUnexposedOperations|
+                                  (|isFreeFunctionFromMm| |x|)
+                                  (|isExposedConstructor|
+                                      (|getDomainFromMm| |x|)))
+                              (SPADLET |mms| (CONS |x| |mms|)))
+                             ('T '|iterate|)))))
+              |mms|)
+             ('T NIL))))))
+
 ;--% Bottom Up Processing
 ;-- Also see I-SPEC BOOT for special handlers and I-MAP BOOT for
 ;-- user function processing.
@@ -735,7 +793,7 @@
                       |$immediateDataSymbol|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |t|)
+             ((AND (CONSP |t|)
                    (PROGN
                      (SPADLET |op| (QCAR |t|))
                      (SPADLET |argl| (QCDR |t|))
@@ -793,11 +851,11 @@
                       ((AND |opVal|
                             (PROGN
                               (SPADLET |ISTMP#1| (|objVal| |opVal|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCAR |ISTMP#1|) 'MAP)))
                             (PROGN
                               (SPADLET |ISTMP#1| (|getMode| |op|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCAR |ISTMP#1|) '|Mapping|)
                                    (PROGN
                                      (SPADLET |ms| (QCDR |ISTMP#1|))
@@ -1030,11 +1088,11 @@
             (SPADLET |om| (|objMode| |u|))
             (COND
               ((AND (NEQUAL |om| |$EmptyMode|)
-                    (NULL (AND (PAIRP |om|)
+                    (NULL (AND (CONSP |om|)
                                (EQ (QCAR |om|) '|RuleCalled|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCDR |om|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL))))))
                (COND
                  ((OR |$genValue| (GENSYMP |id|))
@@ -1126,7 +1184,7 @@
       (COND
         ((SPADLET |m| (|getMode| |t|))
          (COND
-           ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Mapping|))
+           ((AND (CONSP |m|) (EQ (QCAR |m|) '|Mapping|))
             (|throwKeyedMsg| "S2IB0003"
                 (CONS (|getUnname| |t|) NIL)))
            ('T
@@ -1161,15 +1219,15 @@
               ((|isPartialMode| |target|)
                (COND
                  ((AND (BOOT-EQUAL |defaultMode| |$Symbol|)
-                       (PAIRP |target|)
+                       (CONSP |target|)
                        (PROGN
                          (SPADLET D (QCAR |target|))
                          (SPADLET |ISTMP#1| (QCDR |target|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |x| (QCAR |ISTMP#1|))
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL))))))
                   (COND
                     ((OR (AND (|member| D |$univariateDomains|)
@@ -1244,7 +1302,7 @@
                          (SPADLET |envMode|
                                   (OR |tmode| (|objMode| |tval|)))
                          (COND
-                           ((AND (PAIRP |envMode|)
+                           ((AND (CONSP |envMode|)
                                  (EQ (QCAR |envMode|) '|Variable|))
                             (|objVal| |tval|))
                            ((BOOT-EQUAL |id| |$immediateDataSymbol|)
@@ -1369,11 +1427,11 @@
          (COND
            ((AND |$genValue|
                  (NULL (AND (BOOT-EQUAL |opName| '=)
-                            (PAIRP |argModeSetList|)
+                            (CONSP |argModeSetList|)
                             (PROGN
                               (SPADLET |ISTMP#1|
                                        (QCAR |argModeSetList|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL)
                                    (PROGN
                                      (SPADLET |m| (QCAR |ISTMP#1|))
@@ -1381,15 +1439,15 @@
                             (PROGN
                               (SPADLET |ISTMP#2|
                                        (QCDR |argModeSetList|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |ISTMP#3|
                                       (QCAR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (EQUAL (QCAR |ISTMP#3|) |m|)))))
-                            (PAIRP |m|) (EQ (QCAR |m|) '|Union|)))
+                            (CONSP |m|) (EQ (QCAR |m|) '|Union|)))
                  (SPADLET |u|
                           (|bottomUpFormUntaggedUnionRetract| |t| |op|
                               |opName| |argl| |argModeSetList|)))
@@ -1445,12 +1503,12 @@
                              ((PROGN
                                 (SPADLET |ISTMP#1|
                                          (|getFirstArgTypeFromMm| |mm|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|Tuple|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)))))
                               (SPADLET |haveTuple| 'T))
                              ('T NIL)))))
@@ -1464,25 +1522,25 @@
                     NIL)
                    ((AND (EQL |nargs| 1)
                          (SPADLET |ms| (|bottomUp| (CAR |args|)))
-                         (OR (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                         (OR (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCAR |ms|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|Tuple|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL))))))
-                             (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                             (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCAR |ms|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|List|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL))))))))
                     NIL)
                    ('T
@@ -1490,6 +1548,92 @@
                              (CONS (|mkAtreeNode| '|Tuple|) |args|))
                     (|bottomUp| (CONS |op| (CONS |newArg| NIL)))))))))))))
 
+;getFirstArgTypeFromMm mm ==
+;  -- Returns the type of the first argument or nil
+;  [pats, cond] := mm
+;  [.,.,:args] := pats
+;  null args => nil
+;  arg1 := first args
+;  if cond is ['partial, :c] then cond := c
+;  condList :=
+;    cond is ['AND, :cl] => cl
+;    cond is ['OR, ['AND, :cl],:.] => cl  --all cl's should give same info
+;    [cond]
+;  type := nil
+;  for condition in condList while not type repeat
+;      if condition is ['isDomain, a1, dom] and a1=arg1 then type := dom
+;  type
+
+(DEFUN |getFirstArgTypeFromMm| (|mm|)
+  (PROG (|pats| |args| |arg1| |c| |cond| |cl| |condList| |ISTMP#1| |a1|
+                |ISTMP#2| |dom| |type|)
+    (RETURN
+      (SEQ (PROGN
+             (SPADLET |pats| (CAR |mm|))
+             (SPADLET |cond| (CADR |mm|))
+             (SPADLET |args| (CDDR |pats|))
+             (COND
+               ((NULL |args|) NIL)
+               ('T (SPADLET |arg1| (CAR |args|))
+                (COND
+                  ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|partial|)
+                        (PROGN (SPADLET |c| (QCDR |cond|)) 'T))
+                   (SPADLET |cond| |c|)))
+                (SPADLET |condList|
+                         (COND
+                           ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'AND)
+                                 (PROGN
+                                   (SPADLET |cl| (QCDR |cond|))
+                                   'T))
+                            |cl|)
+                           ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'OR)
+                                 (PROGN
+                                   (SPADLET |ISTMP#1| (QCDR |cond|))
+                                   (AND (CONSP |ISTMP#1|)
+                                    (PROGN
+                                      (SPADLET |ISTMP#2|
+                                       (QCAR |ISTMP#1|))
+                                      (AND (CONSP |ISTMP#2|)
+                                       (EQ (QCAR |ISTMP#2|) 'AND)
+                                       (PROGN
+                                         (SPADLET |cl|
+                                          (QCDR |ISTMP#2|))
+                                         'T))))))
+                            |cl|)
+                           ('T (CONS |cond| NIL))))
+                (SPADLET |type| NIL)
+                (DO ((G167357 |condList| (CDR G167357))
+                     (|condition| NIL))
+                    ((OR (ATOM G167357)
+                         (PROGN
+                           (SETQ |condition| (CAR G167357))
+                           NIL)
+                         (NULL (NULL |type|)))
+                     NIL)
+                  (SEQ (EXIT (COND
+                               ((AND (CONSP |condition|)
+                                     (EQ (QCAR |condition|)
+                                      '|isDomain|)
+                                     (PROGN
+                                       (SPADLET |ISTMP#1|
+                                        (QCDR |condition|))
+                                       (AND (CONSP |ISTMP#1|)
+                                        (PROGN
+                                          (SPADLET |a1|
+                                           (QCAR |ISTMP#1|))
+                                          (SPADLET |ISTMP#2|
+                                           (QCDR |ISTMP#1|))
+                                          (AND (CONSP |ISTMP#2|)
+                                           (EQ (QCDR |ISTMP#2|) NIL)
+                                           (PROGN
+                                             (SPADLET |dom|
+                                              (QCAR |ISTMP#2|))
+                                             'T)))))
+                                     (BOOT-EQUAL |a1| |arg1|))
+                                (SPADLET |type| |dom|))
+                               ('T NIL)))))
+                |type|)))))))
+
 ;removeUnionsAtStart(argl,modeSets) ==
 ;  null $genValue => modeSets
 ;  for arg in argl for ms in modeSets repeat
@@ -1524,7 +1668,7 @@
                               NIL)
                              ('T (SPADLET |m| (|objMode| |v|))
                               (COND
-                                ((NULL (AND (PAIRP |m|)
+                                ((NULL (AND (CONSP |m|)
                                         (EQ (QCAR |m|) '|Union|)))
                                  NIL)
                                 ('T (SPADLET |val| (|objVal| |v|))
@@ -1645,14 +1789,14 @@
         (SPADLET |opName0| |opName|)
         (COND
           ((SPADLET |m| (|isType| |t|)) (|bottomUpType| |t| |m|))
-          ((AND (BOOT-EQUAL |opName| '|copy|) (PAIRP |argModeSetList|)
+          ((AND (BOOT-EQUAL |opName| '|copy|) (CONSP |argModeSetList|)
                 (EQ (QCDR |argModeSetList|) NIL)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |argModeSetList|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCAR |ISTMP#2|) '|Record|)
                               (PROGN
                                 (SPADLET |rargs| (QCDR |ISTMP#2|))
@@ -1672,19 +1816,19 @@
            (|putModeSet| |t| (CONS |rtype| NIL)))
           ('T (SPADLET |m| (|getModeOrFirstModeSetIfThere| |op|))
            (COND
-             ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Record|)
-                   (PAIRP |argModeSetList|)
+             ((AND (CONSP |m|) (EQ (QCAR |m|) '|Record|)
+                   (CONSP |argModeSetList|)
                    (EQ (QCDR |argModeSetList|) NIL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |argModeSetList|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCAR |ISTMP#2|) '|Variable|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |x| (QCAR |ISTMP#3|))
@@ -1692,19 +1836,19 @@
                    (|member| |x| (|getUnionOrRecordTags| |m|))
                    (SPADLET |u| (|bottomUpElt| |t|)))
               |u|)
-             ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Union|)
-                   (PAIRP |argModeSetList|)
+             ((AND (CONSP |m|) (EQ (QCAR |m|) '|Union|)
+                   (CONSP |argModeSetList|)
                    (EQ (QCDR |argModeSetList|) NIL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |argModeSetList|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCAR |ISTMP#2|) '|Variable|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |x| (QCAR |ISTMP#3|))
@@ -1738,11 +1882,11 @@
                    (EQL (|#| |argl|) 1)
                    (PROGN
                      (SPADLET |ISTMP#1| (CAR (CAR |argModeSetList|)))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) '|Variable|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |var| (QCAR |ISTMP#2|))
@@ -1892,6 +2036,24 @@
                                       NIL)))))))))
          NIL)))))
 
+;getAllModemapsFromDatabase(op,nargs) ==
+;  $getUnexposedOperations: local := true
+;  startTimingProcess 'diskread
+;  ans := getSystemModemaps(op,nargs)
+;  stopTimingProcess 'diskread
+;  ans
+
+(DEFUN |getAllModemapsFromDatabase| (|op| |nargs|)
+  (PROG (|$getUnexposedOperations| |ans|)
+    (DECLARE (SPECIAL |$getUnexposedOperations|))
+    (RETURN
+      (PROGN
+        (SPADLET |$getUnexposedOperations| 'T)
+        (|startTimingProcess| '|diskread|)
+        (SPADLET |ans| (|getSystemModemaps| |op| |nargs|))
+        (|stopTimingProcess| '|diskread|)
+        |ans|))))
+
 ;bottomUpType(t, type) ==
 ;  mode :=
 ;    if isPartialMode type then '(Mode)
@@ -1942,7 +2104,7 @@
            (SPADLET |val| (|fetchOutput| (SPADDIFFERENCE 1)))
            (|putValue| |op| |val|)
            (|putModeSet| |op| (CONS (|objMode| |val|) NIL)))
-          ((AND (PAIRP |argl|) (EQ (QCDR |argl|) NIL)
+          ((AND (CONSP |argl|) (EQ (QCDR |argl|) NIL)
                 (PROGN (SPADLET |t| (QCAR |argl|)) 'T))
            (COND
              ((SPADLET |i| (|getArgValue| |t| |$Integer|))
@@ -1972,7 +2134,7 @@
 ;    (i = 1) and (opName = "set!") =>
 ;        a := [x,:a]
 ;        ms := [m,:ms]
-;    if PAIRP(m) and CAR(m) = $EmptyMode then return NIL
+;    if CONSP(m) and CAR(m) = $EmptyMode then return NIL
 ;    object:= retract getValue x
 ;    a:= [x,:a]
 ;    EQ(object,'failed) =>
@@ -2028,7 +2190,7 @@
                                 (SPADLET |ms| (CONS |m| |ms|)))
                                ('T
                                 (COND
-                                  ((AND (PAIRP |m|)
+                                  ((AND (CONSP |m|)
                                     (BOOT-EQUAL (CAR |m|) |$EmptyMode|))
                                    (RETURN NIL)))
                                 (SPADLET |object|
@@ -2185,7 +2347,7 @@
                (SEQ (EXIT (PROGN
                             (COND ((ATOM |m|) (RETURN NIL)))
                             (COND
-                              ((AND (PAIRP |m|)
+                              ((AND (CONSP |m|)
                                     (EQ (QCAR |m|) '|Union|)
                                     (NULL (|getUnionOrRecordTags| |m|)))
                                (SPADLET |ok| 'T))
@@ -2204,7 +2366,7 @@
                   (SEQ (EXIT (PROGN
                                (SPADLET |m0| (CAR |m|))
                                (COND
-                                 ((AND (PAIRP |m0|)
+                                 ((AND (CONSP |m0|)
                                        (EQ (QCAR |m0|) '|Union|)
                                        (NULL
                                         (|getUnionOrRecordTags| |m0|))
@@ -2256,15 +2418,15 @@
              (SPADLET |ms| (|bottomUp| |op|))
              (COND
                ((AND |ms|
-                     (OR (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                     (OR (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCAR |ms|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|Union|))))
-                         (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                         (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCAR |ms|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|Record|))))))
                 (RPLAC (CDR |form|) (CONS |op| |argl|))
                 (RPLAC (CAR |form|) (|mkAtreeNode| '|elt|))
@@ -2361,10 +2523,10 @@
          (COND
            ((ZEROP |numArgs|) 'T)
            ((NULL (SPADLET |m| (|objMode| |v|))) NIL)
-           ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Mapping|)) NIL)
+           ((AND (CONSP |m|) (EQ (QCAR |m|) '|Mapping|)) NIL)
            ((AND (PROGN
                    (SPADLET |ISTMP#1| (|objVal| |v|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'MAP)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'MAP)
                         (PROGN (SPADLET |mapDef| (QCDR |ISTMP#1|)) 'T)))
                  (> (|numMapArgs| |mapDef|) 0))
             NIL)
@@ -2372,7 +2534,7 @@
         ((SPADLET |m| (|getMode| |op|))
          (COND
            ((ZEROP |numArgs|) 'T)
-           ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Mapping|)) NIL)
+           ((AND (CONSP |m|) (EQ (QCAR |m|) '|Mapping|)) NIL)
            ('T 'T)))
         ((NEQUAL |numArgs| 1) NIL)
         ('T (SPADLET |name| (|getUnname| |op|))
diff -Nru axiom-20110301a/src/interp/i-code.lisp.pamphlet axiom-20111101/src/interp/i-code.lisp.pamphlet
--- axiom-20110301a/src/interp/i-code.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-code.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -96,21 +96,21 @@
                ((BOOT-EQUAL |t1| |t2|) |triple|)
                ('T (SPADLET |val| (|objVal| |triple|))
                 (COND
-                  ((AND (PAIRP |val|)
+                  ((AND (CONSP |val|)
                         (EQ (QCAR |val|) '|coerceOrCroak|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |val|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |trip| (QCAR |ISTMP#1|))
                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
+                                 (AND (CONSP |ISTMP#2|)
                                       (PROGN
                                         (SPADLET |t1'|
                                          (QCAR |ISTMP#2|))
                                         (SPADLET |ISTMP#3|
                                          (QCDR |ISTMP#2|))
-                                        (AND (PAIRP |ISTMP#3|)
+                                        (AND (CONSP |ISTMP#3|)
                                          (EQ (QCDR |ISTMP#3|) NIL)))))))
                         (SPADLET |t0| (|objCodeMode| |trip|))
                         (PROGN
@@ -121,24 +121,24 @@
                             (|canCoerceFrom| (|removeQuote| |t0|) |t2|)))
                    (|intCodeGenCOERCE|
                        (|objNew| |val0| (|removeQuote| |t0|)) |t2|))
-                  ((AND (PAIRP |val|) (EQ (QCAR |val|) 'THROW)
+                  ((AND (CONSP |val|) (EQ (QCAR |val|) 'THROW)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |val|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |label| (QCAR |ISTMP#1|))
                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
+                                 (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |code|
                                          (QCAR |ISTMP#2|))
                                         'T))))))
                    (COND
-                     ((AND (PAIRP |label|) (EQ (QCAR |label|) 'QUOTE)
+                     ((AND (CONSP |label|) (EQ (QCAR |label|) 'QUOTE)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |label|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |l| (QCAR |ISTMP#1|))
@@ -158,15 +158,15 @@
                                        NIL)))
                           |t2|))
                      ('T (|objNew| |val| |t2|))))
-                  ((AND (PAIRP |val|) (EQ (QCAR |val|) 'PROGN)
+                  ((AND (CONSP |val|) (EQ (QCAR |val|) 'PROGN)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |val|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |ISTMP#2|
                                           (REVERSE |ISTMP#1|))
                                  'T)
-                               (PAIRP |ISTMP#2|)
+                               (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |lastCode| (QCAR |ISTMP#2|))
                                  (SPADLET |code| (QCDR |ISTMP#2|))
@@ -185,7 +185,7 @@
                                          |t2|)))
                                       NIL)))
                        |t2|))
-                  ((AND (PAIRP |val|) (EQ (QCAR |val|) 'COND)
+                  ((AND (CONSP |val|) (EQ (QCAR |val|) 'COND)
                         (PROGN (SPADLET |conds| (QCDR |val|)) 'T))
                    (|objNew|
                        (CONS 'COND
@@ -228,15 +228,15 @@
                    (|objNew|
                        (CONS 'CONS (CONS (MKQ |t1|) (CONS |val| NIL)))
                        |t2|))
-                  ((AND (BOOT-EQUAL |t1| '(|Any|)) (PAIRP |val|)
+                  ((AND (BOOT-EQUAL |t1| '(|Any|)) (CONSP |val|)
                         (EQUAL (QCAR |val|) 'CONS)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |val|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |t1'| (QCAR |ISTMP#1|))
                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
+                                 (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |val'|
@@ -244,14 +244,14 @@
                                         'T))))))
                    (|intCodeGenCOERCE|
                        (|objNew| |val'| (|removeQuote| |t1'|)) |t2|))
-                  ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Equation|)
+                  ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Equation|)
                         (BOOT-EQUAL |t2| |$Boolean|))
                    (|coerceByFunction| |triple| |t2|))
-                  ((AND (BOOT-EQUAL |t1| '|$NoValueMode|) (PAIRP |val|)
+                  ((AND (BOOT-EQUAL |t1| '|$NoValueMode|) (CONSP |val|)
                         (EQ (QCAR |val|) 'COND)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |val|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN
                                  (SPADLET |pred| (QCAR |ISTMP#1|))
@@ -321,46 +321,46 @@
     (RETURN
       (COND
         ((EQL |$mapThrowCount| 0) |body|)
-        ((AND (PAIRP |body|) (EQ (QCAR |body|) '|failCheck|)
+        ((AND (CONSP |body|) (EQ (QCAR |body|) '|failCheck|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |body|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (EQ (QCAR |ISTMP#2|) '|coerceOrFail|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (PROGN
                                      (SPADLET |trip| (QCAR |ISTMP#3|))
                                      (SPADLET |ISTMP#4|
                                       (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
+                                     (AND (CONSP |ISTMP#4|)
                                       (PROGN
                                         (SPADLET |targ|
                                          (QCAR |ISTMP#4|))
                                         (SPADLET |ISTMP#5|
                                          (QCDR |ISTMP#4|))
-                                        (AND (PAIRP |ISTMP#5|)
+                                        (AND (CONSP |ISTMP#5|)
                                          (EQ (QCDR |ISTMP#5|) NIL)
                                          (PROGN
                                            (SPADLET |mapn|
                                             (QCAR |ISTMP#5|))
                                            'T))))))))))))
          (COND
-           ((AND (PAIRP |trip|) (EQ (QCAR |trip|) 'LIST)
+           ((AND (CONSP |trip|) (EQ (QCAR |trip|) 'LIST)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |trip|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |v| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |m| (QCAR |ISTMP#2|))
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |e| (QCAR |ISTMP#3|))
diff -Nru axiom-20110301a/src/interp/i-coerce.lisp.pamphlet axiom-20111101/src/interp/i-coerce.lisp.pamphlet
--- axiom-20110301a/src/interp/i-coerce.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-coerce.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -40,63 +40,6 @@
 \begin{chunk}{*}
 (IN-PACKAGE "BOOT" )
 
-;--%  Algebraic coercions using interactive code
-;algCoerceInteractive(p,source,target) ==
-;  -- now called in some groebner code
-;  $useConvertForCoercions : local := true
-;  source := devaluate source
-;  target := devaluate target
-;  u := coerceInteractive(objNewWrap(p,source),target)
-;  u => objValUnwrap(u)
-;  error ['"can't convert",p,'"of mode",source,'"to mode",target]
-
-(DEFUN |algCoerceInteractive| (|p| |source| |target|)
-  (PROG (|$useConvertForCoercions| |u|)
-    (DECLARE (SPECIAL |$useConvertForCoercions|))
-    (RETURN
-      (PROGN
-        (SPADLET |$useConvertForCoercions| 'T)
-        (SPADLET |source| (|devaluate| |source|))
-        (SPADLET |target| (|devaluate| |target|))
-        (SPADLET |u|
-                 (|coerceInteractive| (|objNewWrap| |p| |source|)
-                     |target|))
-        (COND
-          (|u| (|objValUnwrap| |u|))
-          ('T
-           (|error| (CONS "can't convert"
-                          (CONS |p|
-                                (CONS "of mode"
-                                      (CONS |source|
-                                       (CONS "to mode"
-                                        (CONS |target| NIL)))))))))))))
-
-
-;spad2BootCoerce(x,source,target) ==
-;  -- x : source and we wish to coerce to target
-;  -- used in spad code for Any
-;  null isValidType source => throwKeyedMsg("S2IE0004",[source])
-;  null isValidType target => throwKeyedMsg("S2IE0004",[target])
-;  x' := coerceInteractive(objNewWrap(x,source),target) =>
-;    objValUnwrap(x')
-;  throwKeyedMsgCannotCoerceWithValue(wrap x,source,target)
-
-(DEFUN |spad2BootCoerce| (|x| |source| |target|)
-  (PROG (|x'|)
-    (RETURN
-      (COND
-        ((NULL (|isValidType| |source|))
-         (|throwKeyedMsg| 'S2IE0004 (CONS |source| NIL)))
-        ((NULL (|isValidType| |target|))
-         (|throwKeyedMsg| 'S2IE0004 (CONS |target| NIL)))
-        ((SPADLET |x'|
-                  (|coerceInteractive| (|objNewWrap| |x| |source|)
-                      |target|))
-         (|objValUnwrap| |x'|))
-        ('T
-         (|throwKeyedMsgCannotCoerceWithValue| (|wrap| |x|) |source|
-             |target|))))))
-
 ;--%  Functions for Coercion or Else We'll Get Rough
 ;coerceOrFail(triple,t,mapName) ==
 ;  -- some code generated for this is in coerceInt0
@@ -163,136 +106,6 @@
         (|objValUnwrap| |result|)))))
 
 ;--%  Retraction functions
-;retract object ==
-;  type := objMode object
-;  STRINGP type => 'failed
-;  type = $EmptyMode => 'failed
-;  val := objVal object
-;  not isWrapped val and val isnt ['MAP,:.] => 'failed
-;  type' := equiType(type)
-;  (ans := retract1 objNew(val,equiType(type))) = 'failed => ans
-;  objNew(objVal ans,eqType objMode ans)
-
-(DEFUN |retract| (|object|)
-  (PROG (|type| |val| |type'| |ans|)
-    (DECLARE (SPECIAL |$EmptyMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |type| (|objMode| |object|))
-        (COND
-          ((STRINGP |type|) '|failed|)
-          ((BOOT-EQUAL |type| |$EmptyMode|) '|failed|)
-          ('T (SPADLET |val| (|objVal| |object|))
-           (COND
-             ((AND (NULL (|isWrapped| |val|))
-                   (NULL (AND (PAIRP |val|) (EQ (QCAR |val|) 'MAP))))
-              '|failed|)
-             ('T (SPADLET |type'| (|equiType| |type|))
-              (COND
-                ((BOOT-EQUAL
-                     (SPADLET |ans|
-                              (|retract1|
-                                  (|objNew| |val| (|equiType| |type|))))
-                     '|failed|)
-                 |ans|)
-                ('T
-                 (|objNew| (|objVal| |ans|)
-                     (|eqType| (|objMode| |ans|)))))))))))))
-
-;retract1 object ==
-;  -- this function is the new version of the old "pullback"
-;  -- it first tries to change the datatype of an object to that of
-;  -- largest contained type. Examples: P RN -> RN, RN -> I
-;  -- This is mostly for cases such as constant polynomials or
-;  -- quotients with 1 in the denominator.
-;  type := objMode object
-;  STRINGP type => 'failed
-;  val := objVal object
-;  type = $PositiveInteger =>    objNew(val,$NonNegativeInteger)
-;  type = $NonNegativeInteger => objNew(val,$Integer)
-;  type = $Integer and SINTP unwrap val => objNew(val, $SingleInteger)
-;  type' := equiType(type)
-;  if not EQ(type,type') then object := objNew(val,type')
-;  (1 = #type') or (type' is ['Union,:.]) or
-;    (type' is ['FunctionCalled,.])
-;     or (type' is ['OrderedVariableList,.]) or (type is ['Variable,.]) =>
-;      (object' := retract2Specialization(object)) => object'
-;      'failed
-;  null (underDomain := underDomainOf type') => 'failed
-;  -- try to retract the "coefficients"
-;  -- think of P RN -> P I or M RN -> M I
-;  object' := retractUnderDomain(object,type,underDomain)
-;  object' ^= 'failed => object'
-;  -- see if we can use the retract functions
-;  (object' := coerceRetract(object,underDomain)) => object'
-;  -- see if we have a special case here
-;  (object' := retract2Specialization(object)) => object'
-;  'failed
-
-(DEFUN |retract1| (|object|)
-  (PROG (|type| |val| |type'| |ISTMP#1| |underDomain| |object'|)
-    (DECLARE (SPECIAL |$SingleInteger| |$Integer| |$NonNegativeInteger|
-                      |$PositiveInteger|))
-    (RETURN
-      (PROGN
-        (SPADLET |type| (|objMode| |object|))
-        (COND
-          ((STRINGP |type|) '|failed|)
-          ('T (SPADLET |val| (|objVal| |object|))
-           (COND
-             ((BOOT-EQUAL |type| |$PositiveInteger|)
-              (|objNew| |val| |$NonNegativeInteger|))
-             ((BOOT-EQUAL |type| |$NonNegativeInteger|)
-              (|objNew| |val| |$Integer|))
-             ((AND (BOOT-EQUAL |type| |$Integer|)
-                   (typep (|unwrap| |val|) 'fixnum))
-              (|objNew| |val| |$SingleInteger|))
-             ('T (SPADLET |type'| (|equiType| |type|))
-              (COND
-                ((NULL (EQ |type| |type'|))
-                 (SPADLET |object| (|objNew| |val| |type'|))))
-              (COND
-                ((OR (EQL 1 (|#| |type'|))
-                     (AND (PAIRP |type'|) (EQ (QCAR |type'|) '|Union|))
-                     (AND (PAIRP |type'|)
-                          (EQ (QCAR |type'|) '|FunctionCalled|)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |type'|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (EQ (QCDR |ISTMP#1|) NIL))))
-                     (AND (PAIRP |type'|)
-                          (EQ (QCAR |type'|) '|OrderedVariableList|)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |type'|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (EQ (QCDR |ISTMP#1|) NIL))))
-                     (AND (PAIRP |type|) (EQ (QCAR |type|) '|Variable|)
-                          (PROGN
-                            (SPADLET |ISTMP#1| (QCDR |type|))
-                            (AND (PAIRP |ISTMP#1|)
-                                 (EQ (QCDR |ISTMP#1|) NIL)))))
-                 (COND
-                   ((SPADLET |object'|
-                             (|retract2Specialization| |object|))
-                    |object'|)
-                   ('T '|failed|)))
-                ((NULL (SPADLET |underDomain|
-                                (|underDomainOf| |type'|)))
-                 '|failed|)
-                ('T
-                 (SPADLET |object'|
-                          (|retractUnderDomain| |object| |type|
-                              |underDomain|))
-                 (COND
-                   ((NEQUAL |object'| '|failed|) |object'|)
-                   ((SPADLET |object'|
-                             (|coerceRetract| |object| |underDomain|))
-                    |object'|)
-                   ((SPADLET |object'|
-                             (|retract2Specialization| |object|))
-                    |object'|)
-                   ('T '|failed|))))))))))))
-
 ;retractUnderDomain(object,type,underDomain) ==
 ;  null (ud := underDomainOf underDomain) => 'failed
 ;  [c,:args] := deconstructT type
@@ -435,18 +248,18 @@
                ((BOOT-EQUAL |type| |$Any|) (SPADLET |dom| (CAR |val'|))
                 (SPADLET |obj| (CDR |val'|))
                 (|objNewWrap| |obj| |dom|))
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Union|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|Union|)
                      (PROGN (SPADLET |unionDoms| (QCDR |type|)) 'T))
                 (|coerceUnion2Branch| |object|))
                ((BOOT-EQUAL |type| |$Symbol|)
                 (|objNewWrap| 1
                     (CONS '|OrderedVariableList|
                           (CONS (CONS |val'| NIL) NIL))))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (EQ (QCAR |type|) '|OrderedVariableList|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |var| (QCAR |ISTMP#1|))
                               'T))))
@@ -454,16 +267,16 @@
                     (|objNewWrap| (ELT |var| (SPADDIFFERENCE |val'| 1))
                         |$Symbol|)
                     '(|Polynomial| (|Integer|))))
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Polynomial|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|Polynomial|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
                 (COND
-                  ((AND (PAIRP |val'|) (EQUAL (QCAR |val'|) 1)
+                  ((AND (CONSP |val'|) (EQUAL (QCAR |val'|) 1)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |val'|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |x| (QCAR |ISTMP#1|))
                                  'T))))
@@ -475,13 +288,13 @@
                           (CONS '|UnivariatePolynomial|
                                 (CONS |x| (CONS D NIL)))))
                      ('T NIL)))
-                  ((AND (PAIRP |val'|) (EQUAL (QCAR |val'|) 0))
+                  ((AND (CONSP |val'|) (EQUAL (QCAR |val'|) 0))
                    (|coerceInt| |object| D))
                   ('T NIL)))
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Matrix|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|Matrix|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
                 (SPADLET |n| (|#| |val'|))
                 (SPADLET |m| (|#| (ELT |val'| 0)))
@@ -493,20 +306,20 @@
                    (|objNew| |val|
                        (CONS '|RectangularMatrix|
                              (CONS |n| (CONS |m| (CONS D NIL))))))))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (EQ (QCAR |type|) '|RectangularMatrix|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |n| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (PROGN
                                      (SPADLET |m| (QCAR |ISTMP#2|))
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET D (QCAR |ISTMP#3|))
@@ -516,11 +329,11 @@
                    (|objNew| |val|
                        (CONS '|SquareMatrix| (CONS |n| (CONS D NIL)))))
                   ('T NIL)))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (PROGN
                        (SPADLET |agg| (QCAR |type|))
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T)))
                      (|member| |agg|
                          '(|Vector| |Segment| |UniversalSegment|)))
@@ -531,14 +344,14 @@
                   ((BOOT-EQUAL D |$NonNegativeInteger|)
                    (|objNew| |val| (CONS |agg| (CONS |$Integer| NIL))))
                   ('T NIL)))
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Array|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|Array|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |bds| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET D (QCAR |ISTMP#2|))
@@ -554,16 +367,16 @@
                        (CONS '|Array|
                              (CONS |bds| (CONS |$Integer| NIL)))))
                   ('T NIL)))
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|List|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|List|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
                 (COND
-                  ((NULL (AND (PAIRP D) (EQ (QCAR D) '|List|)
+                  ((NULL (AND (CONSP D) (EQ (QCAR D) '|List|)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCDR D))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |D'| (QCAR |ISTMP#1|))
@@ -604,7 +417,7 @@
                              (SPADLET |m| (|resolveTypeListAny| |tl|))
                              D)
                          NIL)
-                        ((BOOT-EQUAL D (|equiType| |m|)) NIL)
+                        ((BOOT-EQUAL D |m|) NIL)
                         ('T (SPADLET |vl'| NIL)
                          (DO ((G166358 |vl| (CDR G166358))
                               (|e| NIL)
@@ -647,16 +460,16 @@
                        (CONS '|List|
                              (CONS (CONS '|List| (CONS |$Integer| NIL))
                                    NIL))))
-                  ((OR (AND (PAIRP |D'|) (EQ (QCAR |D'|) '|Variable|)
+                  ((OR (AND (CONSP |D'|) (EQ (QCAR |D'|) '|Variable|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |D'|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL))))
-                       (AND (PAIRP |D'|)
+                       (AND (CONSP |D'|)
                             (EQ (QCAR |D'|) '|OrderedVariableList|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |D'|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL)))))
                    (|coerceInt| |object|
                        (CONS '|List|
@@ -669,60 +482,60 @@
                      ('T
                       (|coerceInt| |object|
                           (CONS '|Matrix| (CONS |D'| NIL))))))))
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Expression|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|Expression|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET D (QCAR |ISTMP#1|)) 'T))))
                 (SPADLET |num| (CAR |val'|))
                 (SPADLET |den| (CDR |val'|))
                 (COND
-                  ((NULL (AND (PAIRP |num|) (EQUAL (QCAR |num|) 0)
+                  ((NULL (AND (CONSP |num|) (EQUAL (QCAR |num|) 0)
                               (PROGN (SPADLET |num| (QCDR |num|)) 'T)))
                    NIL)
-                  ((NULL (AND (PAIRP |den|) (EQUAL (QCAR |den|) 0)
+                  ((NULL (AND (CONSP |den|) (EQUAL (QCAR |den|) 0)
                               (PROGN (SPADLET |den| (QCDR |den|)) 'T)))
                    NIL)
                   ('T
                    (|objNewWrap| (CONS |num| |den|)
                        (CONS |$QuotientField| (CONS D NIL))))))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (EQ (QCAR |type|) '|SimpleAlgebraicExtension|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |k| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (PROGN
                                      (SPADLET |rep| (QCAR |ISTMP#2|))
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL))))))))
                 (SPADLET |val'| (|retract| (|objNew| |val| |rep|)))
                 (DO ()
                     ((NULL (AND (NEQUAL |val'| '|failed|)
-                                (NEQUAL (|equiType| (|objMode| |val'|))
+                                (NEQUAL (|objMode| |val'|)
                                         |k|)))
                      NIL)
                   (SEQ (EXIT (SPADLET |val'| (|retract| |val'|)))))
                 (COND ((BOOT-EQUAL |val'| '|failed|) NIL) ('T |val'|)))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (EQ (QCAR |type|) '|UnivariatePuiseuxSeries|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |coef| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (PROGN
                                      (SPADLET |var| (QCAR |ISTMP#2|))
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |cen|
@@ -731,20 +544,20 @@
                 (|coerceInt| |object|
                     (CONS '|UnivariateLaurentSeries|
                           (CONS |coef| (CONS |var| (CONS |cen| NIL))))))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (EQ (QCAR |type|) '|UnivariateLaurentSeries|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |coef| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (PROGN
                                      (SPADLET |var| (QCAR |ISTMP#2|))
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |cen|
@@ -753,11 +566,11 @@
                 (|coerceInt| |object|
                     (CONS '|UnivariateTaylorSeries|
                           (CONS |coef| (CONS |var| (CONS |cen| NIL))))))
-               ((AND (PAIRP |type|)
+               ((AND (CONSP |type|)
                      (EQ (QCAR |type|) '|FunctionCalled|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |name| (QCAR |ISTMP#1|))
                               'T))))
@@ -850,7 +663,7 @@
            ((BOOT-EQUAL |t1| |$Symbol|) NIL)
            ((BOOT-EQUAL |t1| |$OutputForm|) NIL)
            ((SPADLET |c| (|retractByFunction| |object| |t2|)) |c|)
-           ((AND (PAIRP |t1|) (PROGN (SPADLET D (QCAR |t1|)) 'T))
+           ((AND (CONSP |t1|) (PROGN (SPADLET D (QCAR |t1|)) 'T))
             (SPADLET |fun|
                      (OR (GETL D '|retract|)
                          (INTERN (STRCONC "retract"
@@ -978,20 +791,20 @@
         (SPADLET |key| (|opOf| |form|))
         (SPADLET |entryList| (LASSOC |key| |opAlist|))
         (COND
-          ((AND (PAIRP |entryList|) (EQ (QCDR |entryList|) NIL)
+          ((AND (CONSP |entryList|) (EQ (QCDR |entryList|) NIL)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |entryList|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                (AND (PAIRP |ISTMP#3|)
+                                (AND (CONSP |ISTMP#3|)
                                      (PROGN
                                        (SPADLET |ISTMP#4|
                                         (QCDR |ISTMP#3|))
-                                       (AND (PAIRP |ISTMP#4|)
+                                       (AND (CONSP |ISTMP#4|)
                                         (EQ (QCDR |ISTMP#4|) NIL)
                                         (PROGN
                                           (SPADLET |type|
@@ -1041,22 +854,22 @@
          (SPADLET |key| (|opOf| |form|))
          (SPADLET |entryList| (LASSOC |key| |opAlist|))
          (COND
-           ((NULL (AND (PAIRP |entryList|) (EQ (QCDR |entryList|) NIL)
+           ((NULL (AND (CONSP |entryList|) (EQ (QCDR |entryList|) NIL)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCAR |entryList|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |sig| (QCAR |ISTMP#1|))
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (PROGN
                                        (SPADLET |ISTMP#3|
                                         (QCDR |ISTMP#2|))
-                                       (AND (PAIRP |ISTMP#3|)
+                                       (AND (CONSP |ISTMP#3|)
                                         (PROGN
                                           (SPADLET |ISTMP#4|
                                            (QCDR |ISTMP#3|))
-                                          (AND (PAIRP |ISTMP#4|)
+                                          (AND (CONSP |ISTMP#4|)
                                            (EQ (QCDR |ISTMP#4|) NIL)))))))))))
             (COND
               ((BOOT-EQUAL |key| '|One|)
@@ -1218,16 +1031,16 @@
                ((|member| |t1|
                     '((|Mode|) (|Domain|) (|SubDomain| (|Domain|))))
                 (COND ((BOOT-EQUAL |t2| |$OutputForm|) 'T) ('T NIL)))
-               ((OR (AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Variable|)
+               ((OR (AND (CONSP |t1|) (EQ (QCAR |t1|) '|Variable|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |t1|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (EQUAL (QCAR |ISTMP#1|) |t2|))))
-                    (AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Variable|)
+                    (AND (CONSP |t2|) (EQ (QCAR |t2|) '|Variable|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |t2|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (EQUAL (QCAR |ISTMP#1|) |t1|)))))
                 'T)
@@ -1235,12 +1048,12 @@
                 (COND
                   ((BOOT-EQUAL |t2| |$String|) 'T)
                   ((BOOT-EQUAL |t2| |$OutputForm|) 'T)
-                  ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Union|))
+                  ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Union|))
                    (|canCoerceUnion| |t1| |t2|))
-                  ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Variable|)
+                  ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Variable|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |t2|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN
                                  (SPADLET |v| (QCAR |ISTMP#1|))
@@ -1250,10 +1063,10 @@
                   ('T NIL)))
                ((STRINGP |t2|)
                 (COND
-                  ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Variable|)
+                  ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Variable|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |t1|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN
                                  (SPADLET |v| (QCAR |ISTMP#1|))
@@ -1276,19 +1089,19 @@
                      ('T NIL)))
                   ((OR (EQ |nt1| '|Union|) (EQ |nt2| '|Union|))
                    (|canCoerceUnion| |t1| |t2|))
-                  ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Segment|)
+                  ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Segment|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |t1|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN
                                  (SPADLET |s1| (QCAR |ISTMP#1|))
                                  'T)))
-                        (PAIRP |t2|)
+                        (CONSP |t2|)
                         (EQ (QCAR |t2|) '|UniversalSegment|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |t2|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN
                                  (SPADLET |s2| (QCAR |ISTMP#1|))
@@ -1296,10 +1109,10 @@
                         (OR (|isEqualOrSubDomain| |s1| |s2|)
                             (|canCoerce| |s1| |s2|)))
                    'T)
-                  ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Tuple|)
+                  ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Tuple|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |t1|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (PROGN (SPADLET S (QCAR |ISTMP#1|)) 'T)))
                         (NEQUAL |t2| '(|OutputForm|)))
@@ -1370,8 +1183,8 @@
                        (COND
                          ((BOOT-EQUAL |t2| |$OutputForm|)
                           (SPADLET |s1| |t1|) (SPADLET |s2| |t2|))
-                         ('T (SPADLET |s1| (|equiType| |t1|))
-                          (SPADLET |s2| (|equiType| |t2|))))
+                         ('T (SPADLET |s1| |t1|)
+                          (SPADLET |s2| |t2|)))
                        (COND
                          ((NULL (|isValidType| |t2|)) NIL)
                          ((NULL (|isLegitimateMode| |t2| NIL NIL)) NIL)
@@ -1478,10 +1291,10 @@
              (SPADLET |argl| (CDDR |t|))
              (SPADLET |$useCoerceOrCroak| NIL)
              (COND
-               ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Variable|)
+               ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Variable|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |t1|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |var| (QCAR |ISTMP#1|))
                               'T))))
@@ -1509,10 +1322,10 @@
                    NIL)
                   ('T (SPADLET |mm| (CAAR |mms|))
                    (COND
-                     ((AND (PAIRP |mm|)
+                     ((AND (CONSP |mm|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |mm|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (PROGN
                                     (SPADLET |targ| (QCAR |ISTMP#1|))
                                     'T))))
@@ -1520,10 +1333,10 @@
                         ((BOOT-EQUAL |targ| |target|) 'T)
                         ('T NIL)))
                      ('T NIL)))))
-               ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|FunctionCalled|)
+               ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|FunctionCalled|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |t1|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |fun| (QCAR |ISTMP#1|))
                               'T))))
@@ -1536,23 +1349,23 @@
                 (COND
                   ((CONSP |mms|)
                    (COND
-                     ((AND (PAIRP |mms|) (EQ (QCDR |mms|) NIL)
+                     ((AND (CONSP |mms|) (EQ (QCDR |mms|) NIL)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCAR |mms|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (PROGN
                                     (SPADLET |ISTMP#2|
                                      (QCAR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
+                                    (AND (CONSP |ISTMP#2|)
                                      (EQ (QCAR |ISTMP#2|)
                                       '|interpOnly|))))))
                       NIL)
                      ('T (SPADLET |mm| (CAAR |mms|))
                       (COND
-                        ((AND (PAIRP |mm|)
+                        ((AND (CONSP |mm|)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCDR |mm|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |targ|
                                         (QCAR |ISTMP#1|))
@@ -1596,14 +1409,14 @@
       (SEQ (PROGN
              (COND
                ((SPADLET |isUnion1|
-                         (AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Union|)
+                         (AND (CONSP |t1|) (EQ (QCAR |t1|) '|Union|)
                               (PROGN (SPADLET |uds1| (QCDR |t1|)) 'T)))
                 (SPADLET |unionDoms1|
                          (COND
                            ((AND |uds1|
                                  (PROGN
                                    (SPADLET |ISTMP#1| (CAR |uds1|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCAR |ISTMP#1|) '|:|))))
                             (PROG (G166818)
                               (SPADLET G166818 NIL)
@@ -1628,14 +1441,14 @@
                            ('T |uds1|)))))
              (COND
                ((SPADLET |isUnion2|
-                         (AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Union|)
+                         (AND (CONSP |t2|) (EQ (QCAR |t2|) '|Union|)
                               (PROGN (SPADLET |uds2| (QCDR |t2|)) 'T)))
                 (SPADLET |unionDoms2|
                          (COND
                            ((AND |uds2|
                                  (PROGN
                                    (SPADLET |ISTMP#1| (CAR |uds2|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCAR |ISTMP#1|) '|:|))))
                             (PROG (G166836)
                               (SPADLET G166836 NIL)
@@ -1714,14 +1527,14 @@
                             (SEQ (EXIT (SETQ G166877
                                         (OR G166877
                                          (|canCoerce| |t1| |ud|)))))))))))
-               ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Union|)
+               ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Union|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |t1|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |d1| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (EQUAL (QCAR |ISTMP#2|) '"failed")))))
                      (BOOT-EQUAL |t2| |d1|))
@@ -1920,14 +1733,14 @@
           ((AND |p|
                 (PROGN
                   (SPADLET |ISTMP#1| (ASSQ (CAR |t2|) (CDR |p|)))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |tag| (QCAR |ISTMP#2|))
                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                (AND (PAIRP |ISTMP#3|)
+                                (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (SPADLET |fun| (QCAR |ISTMP#3|))
@@ -1969,14 +1782,14 @@
          (AND |p|
               (PROGN
                 (SPADLET |ISTMP#1| (ASSQ (CAR |t2|) (CDR |p|)))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (EQ (QCAR |ISTMP#2|) '|commute|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)))))))))))))
 
 ;newCanCoerceCommute(t1,t2) ==
@@ -2070,9 +1883,9 @@
              (SPADLET |$declaredMode| NIL)
              (SPADLET |$reportBottomUpFlag| NIL)
              (SPADLET |l1|
-                      (REMDUP (CONS |m1| (CONS (|eqType| |m1|) NIL))))
+                      (REMDUP (CONS |m1| (CONS |m1| NIL))))
              (SPADLET |l2|
-                      (REMDUP (CONS |m2| (CONS (|eqType| |m2|) NIL))))
+                      (REMDUP (CONS |m2| (CONS |m2| NIL))))
              (SPADLET |ans| NIL)
              (DO ((G167106 |l1| (CDR G167106)) (|t1| NIL))
                  ((OR (ATOM G167106)
@@ -2110,7 +1923,7 @@
                                                  (SEQ
                                                   (EXIT
                                                    (COND
-                                                     ((AND (PAIRP |x|)
+                                                     ((AND (CONSP |x|)
                                                        (PROGN
                                                          (SPADLET |sig|
                                                           (QCAR |x|))
@@ -2127,7 +1940,7 @@
                                                            |ISTMP#1|
                                                            (CAR |sig|))
                                                           (AND
-                                                           (PAIRP
+                                                           (CONSP
                                                             |ISTMP#1|)
                                                            (EQ
                                                             (QCAR
@@ -2379,14 +2192,14 @@
           ((BOOT-EQUAL |t2| '|$NoValueMode|) (|objNew| |val| |t2|))
           ('T
            (COND
-             ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|SubDomain|)
+             ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|SubDomain|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t2|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |x| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL))))))
               (SPADLET |t2| |x|)))
            (COND
@@ -2410,11 +2223,11 @@
                        (COND
                          ((AND |expr2| (BOOT-EQUAL |t1| |val|))
                           (|objNew| |val| |$OutputForm|))
-                         ((AND |expr2| (PAIRP |t1|)
+                         ((AND |expr2| (CONSP |t1|)
                                (EQ (QCAR |t1|) '|Variable|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCDR |t1|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |var|
@@ -2472,13 +2285,13 @@
            (COND
              ((BOOT-EQUAL |t2| |$OutputForm|) (SPADLET |s1| |t1|)
               (SPADLET |s2| |t2|))
-             ('T (SPADLET |s1| (|equiType| |t1|))
-              (SPADLET |s2| (|equiType| |t2|))
+             ('T (SPADLET |s1| |t1|)
+              (SPADLET |s2| |t2|)
               (COND
                 ((BOOT-EQUAL |s1| |s2|) (RETURN (|objNew| |val| |t2|))))))
            (COND
              ((AND (NULL (|isWrapped| |val|))
-                   (OR (NULL (AND (PAIRP |t1|)
+                   (OR (NULL (AND (CONSP |t1|)
                                   (EQ (QCAR |t1|) '|FunctionCalled|)))
                        (NULL |$genValue|)))
               (|intCodeGenCOERCE| |triple| |t2|))
@@ -2519,7 +2332,7 @@
         ((SPADLET |val| (|coerceInt1| |triple| |t2|)) |val|)
         ('T (SPADLET |t1| (|objMode| |triple|))
          (COND
-           ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Variable|))
+           ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Variable|))
             (SPADLET |newMode|
                      (|getMinimalVarMode|
                          (|unwrap| (|objVal| |triple|)) NIL))
@@ -2616,7 +2429,7 @@
 ;      (triple' := coerceInt(triple,t3)) => coerceInt(triple',t2)
 ;      NIL
 ;    NIL
-;  EQ(CAR(t1),'Variable) and PAIRP(t2) and
+;  EQ(CAR(t1),'Variable) and CONSP(t2) and
 ;    (isEqualOrSubDomain(t2,$Integer) or
 ;      (t2 = [$QuotientField, $Integer]) or MEMQ(CAR(t2),
 ;        '(RationalNumber BigFloat NewFloat Float DoubleFloat))) => NIL
@@ -2698,28 +2511,28 @@
                                         (|objNewWrap| |val'| |t1'|)
                                         |t2|)))
                          |ans|)
-                        ((OR (AND (PAIRP |t1|)
+                        ((OR (AND (CONSP |t1|)
                                   (EQ (QCAR |t1|) '|Variable|)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |t1|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (EQUAL (QCAR |ISTMP#1|) |t2|))))
-                             (AND (PAIRP |t2|)
+                             (AND (CONSP |t2|)
                                   (EQ (QCAR |t2|) '|Variable|)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |t2|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (EQUAL (QCAR |ISTMP#1|) |t1|)))))
                          (|objNew| |val| |t2|))
                         ((STRINGP |t2|)
                          (COND
-                           ((AND (PAIRP |t1|)
+                           ((AND (CONSP |t1|)
                                  (EQ (QCAR |t1|) '|Variable|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t1|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |v| (QCAR |ISTMP#1|))
@@ -2733,10 +2546,10 @@
                                      (BOOT-EQUAL |t1| |$String|)))
                                (|objNew| |val| |t2|))
                               ('T NIL)))))
-                        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Tuple|)
+                        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Tuple|)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET S (QCAR |ISTMP#1|))
@@ -2746,18 +2559,18 @@
                                  (|asTupleAsList| (|unwrap| |val|))
                                  (CONS '|List| (CONS S NIL)))
                              |t2|))
-                        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Union|))
+                        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Union|))
                          (|coerceIntFromUnion| |triple| |t2|))
-                        ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Union|))
+                        ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Union|))
                          (|coerceInt2Union| |triple| |t2|))
                         ((AND (STRINGP |t1|)
                               (BOOT-EQUAL |t2| |$String|))
                          (|objNew| |val| |$String|))
-                        ((AND (STRINGP |t1|) (PAIRP |t2|)
+                        ((AND (STRINGP |t1|) (CONSP |t2|)
                               (EQ (QCAR |t2|) '|Variable|)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCDR |t2|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |v| (QCAR |ISTMP#1|))
@@ -2776,11 +2589,11 @@
                         ('T
                          (COND
                            ((AND (BOOT-EQUAL |t1| |$AnonymousFunction|)
-                                 (PAIRP |t2|)
+                                 (CONSP |t2|)
                                  (EQ (QCAR |t2|) '|Mapping|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (PROGN
                                       (SPADLET |target|
                                        (QCAR |ISTMP#1|))
@@ -2795,7 +2608,7 @@
                                      (COND
                                        ((ATOM |vars|)
                                         (CONS |vars| NIL))
-                                       ((AND (PAIRP |vars|)
+                                       ((AND (CONSP |vars|)
                                          (EQ (QCAR |vars|) '|Tuple|))
                                         (CDR |vars|))
                                        ('T |vars|)))
@@ -2840,11 +2653,11 @@
                                  ('T (RETURN (|getValue| |tree|))))))))
                          (COND
                            ((AND (BOOT-EQUAL |t1| |$Symbol|)
-                                 (PAIRP |t2|)
+                                 (CONSP |t2|)
                                  (EQ (QCAR |t2|) '|Mapping|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (PROGN
                                       (SPADLET |target|
                                        (QCAR |ISTMP#1|))
@@ -2874,20 +2687,20 @@
                                             (CDR (CAAR |mms|))
                                             (|evalDomain| |dc|)))
                                   (|objNew| |val| |t2|))))))
-                           ((AND (PAIRP |t1|)
+                           ((AND (CONSP |t1|)
                                  (EQ (QCAR |t1|) '|Variable|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t1|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |sym| (QCAR |ISTMP#1|))
                                       'T)))
-                                 (PAIRP |t2|)
+                                 (CONSP |t2|)
                                  (EQ (QCAR |t2|) '|Mapping|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (PROGN
                                       (SPADLET |target|
                                        (QCAR |ISTMP#1|))
@@ -2913,7 +2726,7 @@
                                  (COND
                                    ((NEQUAL |targ| |target|)
                                     (EXIT NIL))
-                                   ((AND (PAIRP |dc|)
+                                   ((AND (CONSP |dc|)
                                      (EQ (QCAR |dc|) '|_FreeFunction_|)
                                      (PROGN
                                        (SPADLET |freeFun| (QCDR |dc|))
@@ -2931,20 +2744,20 @@
                                            (CDR (CAAR |mms|))
                                            (|evalDomain| |dc|)))
                                  (|objNew| |val| |t2|)))
-                           ((AND (PAIRP |t1|)
+                           ((AND (CONSP |t1|)
                                  (EQ (QCAR |t1|) '|FunctionCalled|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t1|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |sym| (QCAR |ISTMP#1|))
                                       'T)))
-                                 (PAIRP |t2|)
+                                 (CONSP |t2|)
                                  (EQ (QCAR |t2|) '|Mapping|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (PROGN
                                       (SPADLET |target|
                                        (QCAR |ISTMP#1|))
@@ -2989,14 +2802,14 @@
                                                      (EXIT
                                                       (COND
                                                         ((AND
-                                                          (PAIRP |mm|)
+                                                          (CONSP |mm|)
                                                           (PROGN
                                                             (SPADLET
                                                              |ISTMP#1|
                                                              (QCAR
                                                               |mm|))
                                                             (AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |ISTMP#1|)
                                                              (PROGN
                                                                (SPADLET
@@ -3010,7 +2823,7 @@
                                                              (QCDR
                                                               |mm|))
                                                             (AND
-                                                             (PAIRP
+                                                             (CONSP
                                                               |ISTMP#2|)
                                                              (PROGN
                                                                (SPADLET
@@ -3029,11 +2842,11 @@
                                   (COND
                                     ((NULL |intName|) NIL)
                                     ('T (|objNewWrap| |intName| |t2|))))))))
-                           ((AND (PAIRP |t1|)
+                           ((AND (CONSP |t1|)
                                  (EQ (QCAR |t1|) '|FunctionCalled|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |t1|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |sym| (QCAR |ISTMP#1|))
@@ -3041,7 +2854,7 @@
                             (COND
                               ((AND (SPADLET |t3|
                                      (|get| |sym| '|mode| |$e|))
-                                    (PAIRP |t3|)
+                                    (CONSP |t3|)
                                     (EQ (QCAR |t3|) '|Mapping|))
                                (COND
                                  ((SPADLET |triple'|
@@ -3050,7 +2863,7 @@
                                  ('T NIL)))
                               ('T NIL)))
                            ((AND (EQ (CAR |t1|) '|Variable|)
-                                 (PAIRP |t2|)
+                                 (CONSP |t2|)
                                  (OR (|isEqualOrSubDomain| |t2|
                                       |$Integer|)
                                      (BOOT-EQUAL |t2|
@@ -3276,16 +3089,16 @@
                     (NREVERSE0 G167639))
                  (SEQ (EXIT (SETQ G167639
                                   (CONS (COND
-                                          ((AND (PAIRP |dom|)
+                                          ((AND (CONSP |dom|)
                                             (EQ (QCAR |dom|) '|:|)
                                             (PROGN
                                               (SPADLET |ISTMP#1|
                                                (QCDR |dom|))
-                                              (AND (PAIRP |ISTMP#1|)
+                                              (AND (CONSP |ISTMP#1|)
                                                (PROGN
                                                  (SPADLET |ISTMP#2|
                                                   (QCDR |ISTMP#1|))
-                                                 (AND (PAIRP |ISTMP#2|)
+                                                 (AND (CONSP |ISTMP#2|)
                                                   (EQ (QCDR |ISTMP#2|)
                                                    NIL)
                                                   (PROGN
@@ -3302,17 +3115,17 @@
 (DEFUN |isTaggedUnion| (|u|)
   (PROG (|tl| |ISTMP#1| |ISTMP#2| |ISTMP#3|)
     (RETURN
-      (AND (PAIRP |u|) (EQ (QCAR |u|) '|Union|)
+      (AND (CONSP |u|) (EQ (QCAR |u|) '|Union|)
            (PROGN (SPADLET |tl| (QCDR |u|)) 'T) |tl|
            (PROGN
              (SPADLET |ISTMP#1| (CAR |tl|))
-             (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
+             (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
                   (PROGN
                     (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                    (AND (PAIRP |ISTMP#2|)
+                    (AND (CONSP |ISTMP#2|)
                          (PROGN
                            (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                           (AND (PAIRP |ISTMP#3|)
+                           (AND (CONSP |ISTMP#3|)
                                 (EQ (QCDR |ISTMP#3|) NIL)))))))
            'T))))
 
@@ -3329,25 +3142,25 @@
       (SEQ (PROGN
              (SPADLET |tags| NIL)
              (COND
-               ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) '|Union|)
+               ((OR (AND (CONSP |u|) (EQ (QCAR |u|) '|Union|)
                          (PROGN (SPADLET |tl| (QCDR |u|)) 'T))
-                    (AND (PAIRP |u|) (EQ (QCAR |u|) '|Record|)
+                    (AND (CONSP |u|) (EQ (QCAR |u|) '|Record|)
                          (PROGN (SPADLET |tl| (QCDR |u|)) 'T)))
                 (DO ((G167701 |tl| (CDR G167701)) (|t| NIL))
                     ((OR (ATOM G167701)
                          (PROGN (SETQ |t| (CAR G167701)) NIL))
                      NIL)
                   (SEQ (EXIT (COND
-                               ((AND (PAIRP |t|) (EQ (QCAR |t|) '|:|)
+                               ((AND (CONSP |t|) (EQ (QCAR |t|) '|:|)
                                      (PROGN
                                        (SPADLET |ISTMP#1| (QCDR |t|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (PROGN
                                           (SPADLET |tag|
                                            (QCAR |ISTMP#1|))
                                           (SPADLET |ISTMP#2|
                                            (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
+                                          (AND (CONSP |ISTMP#2|)
                                            (EQ (QCDR |ISTMP#2|) NIL))))))
                                 (SPADLET |tags| (CONS |tag| |tags|)))
                                ('T NIL)))))))
@@ -3403,14 +3216,14 @@
                   (COND
                     ((NULL |targetType|)
                      (|keyedSystemError| 'S2IC0013 NIL))
-                    ((AND (PAIRP |predicate|)
+                    ((AND (CONSP |predicate|)
                           (EQ (QCAR |predicate|) 'EQCAR)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |predicate|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |p| (QCAR |ISTMP#2|))
@@ -3449,13 +3262,13 @@
            (COND
              ((PROGN
                 (SPADLET |ISTMP#1| (ELT |predList| |p|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'EQCAR)
+                (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'EQCAR)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |tag| (QCAR |ISTMP#3|))
@@ -3876,19 +3689,19 @@
       (PROGN
         (SPADLET |t1| (|objMode| |triple|))
         (COND
-          ((AND (PAIRP |t2|)
+          ((AND (CONSP |t2|)
                 (EQ (QCAR |t2|) '|SimpleAlgebraicExtension|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |t2|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET R (QCAR |ISTMP#1|))
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET U (QCAR |ISTMP#2|))
                                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                (AND (PAIRP |ISTMP#3|)
+                                (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)))))))
                 (BOOT-EQUAL |t1| R))
            (COND
@@ -3924,14 +3737,14 @@
            ((AND |p|
                  (PROGN
                    (SPADLET |ISTMP#1| (ASSQ (CAR |t2|) (CDR |p|)))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |tag| (QCAR |ISTMP#2|))
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |fun|
@@ -4007,7 +3820,7 @@
            (SPADLET T$ (|underDomainOf| |target|))
            (COND
              ((BOOT-EQUAL |source| T$) NIL)
-             ((AND (PAIRP |source|)
+             ((AND (CONSP |source|)
                    (PROGN (SPADLET D (QCAR |source|)) 'T))
               (SPADLET |fun|
                        (OR (GETL D '|coerceCommute|)
@@ -4350,7 +4163,7 @@
     (DECLARE (SPECIAL |$coerceFailure| |$OutputForm|))
     (RETURN
       (COND
-        ((AND (BOOT-EQUAL |t2| |$OutputForm|) (NULL (|newType?| |t1|)))
+        ((equal |t2| |$OutputForm|)
          NIL)
         ((|isWrapped| |x|) (SPADLET |x| (|unwrap| |x|))
          (SPADLET |c|
@@ -4458,14 +4271,14 @@
         (SPADLET |x| (|objVal| T$))
         (COND
           ((BOOT-EQUAL |x| '|$fromCoerceable$|) NIL)
-          ((AND (PAIRP |m2|) (EQ (QCAR |m2|) '|Union|)) NIL)
+          ((AND (CONSP |m2|) (EQ (QCAR |m2|) '|Union|)) NIL)
           ('T (SPADLET |m1| (|objMode| T$))
            (COND
-             ((AND (PAIRP |m2|) (EQ (QCAR |m2|) '|Boolean|)
-                   (PAIRP |m1|) (EQ (QCAR |m1|) '|Equation|)
+             ((AND (CONSP |m2|) (EQ (QCAR |m2|) '|Boolean|)
+                   (CONSP |m1|) (EQ (QCAR |m1|) '|Equation|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |m1|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |ud| (QCAR |ISTMP#1|)) 'T))))
               (SPADLET |dcVector| (|evalDomain| |ud|))
               (SPADLET |fun|
@@ -4483,15 +4296,15 @@
                 ((|isWrapped| |x|) (SPADLET |x| (|unwrap| |x|))
                  (|mkObjWrap| (SPADCALL (CAR |x|) (CDR |x|) |fun|)
                      |m2|))
-                ((NULL (AND (PAIRP |x|) (EQ (QCAR |x|) 'SPADCALL)
+                ((NULL (AND (CONSP |x|) (EQ (QCAR |x|) 'SPADCALL)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |x|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |a| (QCAR |ISTMP#1|))
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (PROGN
                                         (SPADLET |b| (QCAR |ISTMP#2|))
                                         'T)))))))
@@ -4543,8 +4356,8 @@
                                           (CONS |x| (CONS |env| NIL)))
                                          NIL)))
                          (|objNew| |code| |m2|))))
-                ('T (SPADLET |m1'| (|eqType| |m1|))
-                 (SPADLET |m2'| (|eqType| |m2|))
+                ('T (SPADLET |m1'| |m1|)
+                 (SPADLET |m2'| |m2|)
                  (COND
                    ((OR (NEQUAL |m1| |m1'|) (NEQUAL |m2| |m2'|))
                     (|coerceByFunction| (|objNew| |x| |m1'|) |m2'|))
@@ -4566,28 +4379,28 @@
         (SPADLET |dc| (CAR |sig|))
         (SPADLET |tar| (CADR |sig|))
         (COND
-          ((AND (PAIRP |dc|) (EQ (QCAR |dc|) '|TypeEquivalence|)) NIL)
+          ((AND (CONSP |dc|) (EQ (QCAR |dc|) '|TypeEquivalence|)) NIL)
           ((BOOT-EQUAL |m| |tar|) 'T)
-          ((AND (PAIRP |tar|) (EQ (QCAR |tar|) '|Union|)
+          ((AND (CONSP |tar|) (EQ (QCAR |tar|) '|Union|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |tar|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |t| (QCAR |ISTMP#1|))
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (EQ (QCAR |ISTMP#2|) '|failed|))))))
            (BOOT-EQUAL |t| |m|))
           ('T
-           (AND (PAIRP |tar|) (EQ (QCAR |tar|) '|Union|)
+           (AND (CONSP |tar|) (EQ (QCAR |tar|) '|Union|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |tar|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (EQ (QCAR |ISTMP#1|) '|failed|)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (PROGN
                                 (SPADLET |t| (QCAR |ISTMP#2|))
diff -Nru axiom-20110301a/src/interp/i-coerfn.lisp.pamphlet axiom-20111101/src/interp/i-coerfn.lisp.pamphlet
--- axiom-20110301a/src/interp/i-coerfn.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-coerfn.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -161,10 +161,10 @@
                                   ('T T$)))
                        (|canCoerce| |t1| |t2|))))
                ((NULL |u|) (|domainZero| |target|))
-               ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
+               ((AND (CONSP |u|) (EQ (QCDR |u|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |e| (QCAR |ISTMP#1|))
                               (SPADLET |c| (QCDR |ISTMP#1|))
@@ -909,10 +909,10 @@
                ((BOOT-EQUAL |u| '|$fromCoerceable$|)
                 (SPADLET |t| (|canCoerce| S T$))
                 (COND ((NULL |t|) (|canCoerce| S |target|)) ('T |t|)))
-               ((AND (PAIRP S) (EQ (QCAR S) '|Polynomial|)
+               ((AND (CONSP S) (EQ (QCAR S) '|Polynomial|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR S))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQ (QCDR |ISTMP#1|) NIL))))
                 (SPADLET |mp|
                          (OR (|coerceInt| (|objNewWrap| |u| |source|)
@@ -1010,10 +1010,10 @@
   (PROG (|ISTMP#1| |v| |termlist| |e| |c|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 1)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 1)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |v| (QCAR |ISTMP#1|))
                             (SPADLET |termlist| (QCDR |ISTMP#1|))
@@ -1123,7 +1123,7 @@
                ((AND (NULL (CDR |u|))
                      (PROGN
                        (SPADLET |ISTMP#1| (CAR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |e| (QCAR |ISTMP#1|))
                               (SPADLET |c| (QCDR |ISTMP#1|))
@@ -1970,10 +1970,10 @@
         (SPADLET S (CADR |source|))
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|)
-           (OR (AND (PAIRP T$) (EQ (QCAR T$) '|Complex|)
+           (OR (AND (CONSP T$) (EQ (QCAR T$) '|Complex|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR T$))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN (SPADLET T1 (QCAR |ISTMP#1|)) 'T)))
                     (|canCoerceFrom| S T1))
                (|coercionFailure|)))
@@ -2215,10 +2215,10 @@
              (SPADLET D (CADR G167711))
              (COND
                ((BOOT-EQUAL |u| '|$fromCoerceable$|) NIL)
-               ((AND (PAIRP D) (EQ (QCAR D) '|List|)
+               ((AND (CONSP D) (EQ (QCAR D) '|List|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR D))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET E (QCAR |ISTMP#1|)) 'T)))
                      (|isRectangularList| |u| (|#| |u|)
                          (|#| (CAR |u|))))
@@ -2329,10 +2329,10 @@
         (SPADLET D (CADR |source|))
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|) NIL)
-          ((AND (PAIRP D) (EQ (QCAR D) '|List|)
+          ((AND (CONSP D) (EQ (QCAR D) '|List|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR D))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET E (QCAR |ISTMP#1|)) 'T)))
                 (|isRectangularList| |u| |n| |m|))
            (L2M |u| |source| (CONS '|Matrix| (CONS R NIL))))
@@ -2353,10 +2353,10 @@
         (SPADLET D (CADR |source|))
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|) NIL)
-          ((AND (PAIRP D) (EQ (QCAR D) '|List|)
+          ((AND (CONSP D) (EQ (QCAR D) '|List|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR D))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET E (QCAR |ISTMP#1|)) 'T)))
                 (|isRectangularList| |u| |n| |n|))
            (L2M |u| |source| (CONS '|Matrix| (CONS R NIL))))
@@ -2678,7 +2678,7 @@
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|)
            (|canCoerce| |target'| |target|))
-          ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+          ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                 (PROGN (SPADLET |c| (QCDR |u|)) 'T))
            (COND
              ((NULL (SPADLET |u'|
@@ -2723,15 +2723,15 @@
   (PROG (|ISTMP#1| |x| |terms| |e| |c| |e'| |t| |u'|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (COND
                 ((BOOT-EQUAL |c| |zero|) NIL)
                 ('T (CONS (CONS (LIST2VEC (|LZeros| |n|)) |c|) NIL))))
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 1)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 1)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |x| (QCAR |ISTMP#1|))
                             (SPADLET |terms| (QCDR |ISTMP#1|))
@@ -2833,10 +2833,10 @@
                                     (CONS '|IndexedExponents|
                                      (CONS |ovl| NIL))
                                     (CONS R (CONS S NIL))))))
-                      ((AND (PAIRP R) (EQ (QCAR R) '|Fraction|)
+                      ((AND (CONSP R) (EQ (QCAR R) '|Fraction|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR R))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL)
                                    (PROGN
                                      (SPADLET D (QCAR |ISTMP#1|))
@@ -2923,7 +2923,7 @@
              ('T
               (|canCoerce| (CONS |mp| (CONS |x'| (CONS S NIL)))
                   (CONS |mp| (CONS |y'| (CONS T$ NIL)))))))
-          ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+          ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                 (PROGN (SPADLET |c| (QCDR |u|)) 'T))
            (OR (SPADLET |u'|
                         (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -3010,7 +3010,7 @@
     (DECLARE (SPECIAL |$Integer|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (OR (SPADLET |u'|
                            (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -3076,7 +3076,7 @@
   (PROG (|u'| |var| |terms| |e| |c| |mon| |sum|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (OR (SPADLET |u'|
                            (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -3149,7 +3149,7 @@
              (COND
                (|common|
                    (COND
-                     ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+                     ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                            (PROGN (SPADLET |c| (QCDR |u|)) 'T))
                       (OR (SPADLET |u'|
                                    (|coerceInt| (|objNewWrap| |c| S)
@@ -3207,7 +3207,7 @@
                 (CONS 0
                       (|Mp2MpAux2| |u| |x| |oldcomm| |oldrest| |common|
                           |restvars| |univariate| S 'T)))
-               ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+               ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                      (PROGN (SPADLET |c| (QCDR |u|)) 'T))
                 |u|)
                ('T (SPADLET |LETTMP#1| |restvars|)
@@ -3315,10 +3315,10 @@
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|)
            (|canCoerce| S |target|))
-          ((AND (PAIRP S) (EQ (QCAR S) '|Polynomial|)
+          ((AND (CONSP S) (EQ (QCAR S) '|Polynomial|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR S))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
            (|MpP2P| |u| |vl| S R))
           ('T (SPADLET |vl'| (REVERSE (MSORT |vl|)))
            (SPADLET |u'|
@@ -3352,7 +3352,7 @@
       (SEQ (PROGN
              (SPADLET PR (CONS '|Polynomial| (CONS R NIL)))
              (COND
-               ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+               ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                      (PROGN (SPADLET |c| (QCDR |u|)) 'T))
                 (OR (SPADLET |u'|
                              (|coerceInt| (|objNewWrap| |c| PS) PR))
@@ -3445,7 +3445,7 @@
                                 (CONS (|delete| |x| |vl|) (CONS S NIL)))
                           T$))))
                   ('T (|canCoerce| |source| T$))))
-               ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+               ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                      (PROGN (SPADLET |c| (QCDR |u|)) 'T))
                 (OR (SPADLET |u'|
                              (|coerceInt| (|objNewWrap| |c| S)
@@ -3655,10 +3655,10 @@
   (PROG (|ISTMP#1| |v| |termlist| |e| |c|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 1)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 1)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |v| (QCAR |ISTMP#1|))
                             (SPADLET |termlist| (QCDR |ISTMP#1|))
@@ -3724,10 +3724,10 @@
                                     (CONS '|IndexedExponents|
                                      (CONS |$Symbol| NIL))
                                     (CONS R (CONS S NIL))))))
-                      ((AND (PAIRP R) (EQ (QCAR R) '|Fraction|)
+                      ((AND (CONSP R) (EQ (QCAR R) '|Fraction|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR R))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL)
                                    (PROGN
                                      (SPADLET D (QCAR |ISTMP#1|))
@@ -3770,7 +3770,7 @@
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|)
            (|canCoerce| |source| T$))
-          ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+          ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                 (PROGN (SPADLET |c| (QCDR |u|)) 'T))
            (OR (SPADLET |u'|
                         (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -3856,7 +3856,7 @@
   (PROG (|LETTMP#1| |x| |sup| |ISTMP#1| |var| |e| |c| |u''| |u'|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (OR (SPADLET |u'|
                            (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -3878,7 +3878,7 @@
                 ((AND (NULL (CDR |sup|))
                       (PROGN
                         (SPADLET |ISTMP#1| (CAR |sup|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQUAL (QCAR |ISTMP#1|) 0)
                              (PROGN (SPADLET |c| (QCDR |ISTMP#1|)) 'T))))
                  (|P2DmpAux| |c| |source| S |target| |varlist| |vars|
@@ -3963,7 +3963,7 @@
   (PROG (|u'| |LETTMP#1| |x| |sup| |ISTMP#1| |e| |c| |terms|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (OR (SPADLET |u'|
                            (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -3983,7 +3983,7 @@
                 ((AND (NULL (CDR |sup|))
                       (PROGN
                         (SPADLET |ISTMP#1| (CAR |sup|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQUAL (QCAR |ISTMP#1|) 0)
                              (PROGN (SPADLET |c| (QCDR |ISTMP#1|)) 'T))))
                  (|P2MpAux| |c| |source| S |target| |varlist| |vars| T$
@@ -4026,10 +4026,10 @@
   (PROG (|ISTMP#1| |v| |termlist| |e| |c|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 1)
+             ((AND (CONSP |u|) (EQUAL (QCAR |u|) 1)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |v| (QCAR |ISTMP#1|))
                             (SPADLET |termlist| (QCDR |ISTMP#1|))
@@ -4090,7 +4090,7 @@
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|)
            (|canCoerce| |source| T$))
-          ((AND (PAIRP |u|) (EQUAL (QCAR |u|) 0)
+          ((AND (CONSP |u|) (EQUAL (QCAR |u|) 0)
                 (PROGN (SPADLET |c| (QCDR |u|)) 'T))
            (OR (SPADLET |u'|
                         (|coerceInt| (|objNewWrap| |c| S) |target|))
@@ -4259,42 +4259,42 @@
            (SPADLET |num'| (|objValUnwrap| |num'|))
            (COND
              ((|equalOne| |den| D) |num'|)
-             ((OR (AND (PAIRP |target|)
+             ((OR (AND (CONSP |target|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |target|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCDR |ISTMP#1|) NIL)
                               (PROGN
                                 (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQUAL (QCAR |ISTMP#2|)
                                       |$QuotientField|)
                                      (PROGN
                                        (SPADLET |ISTMP#3|
                                         (QCDR |ISTMP#2|))
-                                       (AND (PAIRP |ISTMP#3|)
+                                       (AND (CONSP |ISTMP#3|)
                                         (EQ (QCDR |ISTMP#3|) NIL)
                                         (PROGN
                                           (SPADLET T$ (QCAR |ISTMP#3|))
                                           'T))))))))
-                  (AND (PAIRP |target|)
+                  (AND (CONSP |target|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |target|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)
                                      (PROGN
                                        (SPADLET |ISTMP#3|
                                         (QCAR |ISTMP#2|))
-                                       (AND (PAIRP |ISTMP#3|)
+                                       (AND (CONSP |ISTMP#3|)
                                         (EQUAL (QCAR |ISTMP#3|)
                                          |$QuotientField|)
                                         (PROGN
                                           (SPADLET |ISTMP#4|
                                            (QCDR |ISTMP#3|))
-                                          (AND (PAIRP |ISTMP#4|)
+                                          (AND (CONSP |ISTMP#4|)
                                            (EQ (QCDR |ISTMP#4|) NIL)
                                            (PROGN
                                              (SPADLET T$
@@ -4608,10 +4608,10 @@
              (COND
                ((BOOT-EQUAL |u| '|$fromCoerceable$|)
                 (|canCoerce| |source| T$))
-               ((AND (PAIRP S) (EQ (QCAR S) '|Polynomial|)
+               ((AND (CONSP S) (EQ (QCAR S) '|Polynomial|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR S))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET |S'| (QCAR |ISTMP#1|)) 'T))))
                 (COND
                   ((ATOM |vl|) (SPADLET |vl'| (CONS |vl| NIL)))
@@ -4979,10 +4979,10 @@
                ((BOOT-EQUAL |u| '|$fromCoerceable$|)
                 (AND (|member| |var| |vl|) (|canCoerce| S |target|)))
                ((NULL |u|) (|domainZero| |target|))
-               ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
+               ((AND (CONSP |u|) (EQ (QCDR |u|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |e| (QCAR |ISTMP#1|))
                               (SPADLET |c| (QCDR |ISTMP#1|))
@@ -5111,10 +5111,10 @@
                ((BOOT-EQUAL |u| '|$fromCoerceable$|)
                 (|canCoerce| S |target|))
                ((NULL |u|) (|domainZero| |target|))
-               ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
+               ((AND (CONSP |u|) (EQ (QCDR |u|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |e| (QCAR |ISTMP#1|))
                               (SPADLET |c| (QCDR |ISTMP#1|))
@@ -5280,7 +5280,7 @@
                ((AND (NULL (CDR |u|))
                      (PROGN
                        (SPADLET |ISTMP#1| (CAR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |e| (QCAR |ISTMP#1|))
                               (SPADLET |c| (QCDR |ISTMP#1|))
@@ -5362,10 +5362,10 @@
                ((BOOT-EQUAL |u| '|$fromCoerceable$|)
                 (|canCoerce| S |target|))
                ((NULL |u|) (|domainZero| |target|))
-               ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
+               ((AND (CONSP |u|) (EQ (QCDR |u|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCAR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |e| (QCAR |ISTMP#1|))
                               (SPADLET |c| (QCDR |ISTMP#1|))
@@ -5500,10 +5500,10 @@
              ((BOOT-EQUAL |v1| |v2|) (|canCoerce| S T$))
              ('T (|canCoerce| |source| T$))))
           ((NULL |u|) |u|)
-          ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
+          ((AND (CONSP |u|) (EQ (QCDR |u|) NIL)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |u|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |e| (QCAR |ISTMP#1|))
                          (SPADLET |c| (QCDR |ISTMP#1|))
@@ -5515,32 +5515,6 @@
              ('T (|coercionFailure|))))
           ('T (|coercionFailure|)))))))
 
-;insertAlist(a,b,l) ==
-;  null l => [[a,:b]]
-;  a = l.0.0 => (RPLAC(CDAR l,b);l)
-;  _?ORDER(l.0.0,a) => [[a,:b],:l]
-;  (fn(a,b,l);l) where fn(a,b,l) ==
-;    null rest l => RPLAC(rest l,[[a,:b]])
-;    a = l.1.0 => RPLAC(rest l.1,b)
-;    _?ORDER(l.1.0,a) => RPLAC(rest l,[[a,:b],:rest l])
-;    fn(a,b,rest l)
-
-(DEFUN |insertAlist,fn| (|a| |b| |l|)
-  (SEQ (IF (NULL (CDR |l|))
-           (EXIT (RPLAC (CDR |l|) (CONS (CONS |a| |b|) NIL))))
-       (IF (BOOT-EQUAL |a| (ELT (ELT |l| 1) 0))
-           (EXIT (RPLAC (CDR (ELT |l| 1)) |b|)))
-       (IF (?ORDER (ELT (ELT |l| 1) 0) |a|)
-           (EXIT (RPLAC (CDR |l|) (CONS (CONS |a| |b|) (CDR |l|)))))
-       (EXIT (|insertAlist,fn| |a| |b| (CDR |l|)))))
-
-(DEFUN |insertAlist| (|a| |b| |l|)
-  (COND
-    ((NULL |l|) (CONS (CONS |a| |b|) NIL))
-    ((BOOT-EQUAL |a| (ELT (ELT |l| 0) 0)) (RPLAC (CDAR |l|) |b|) |l|)
-    ((?ORDER (ELT (ELT |l| 0) 0) |a|) (CONS (CONS |a| |b|) |l|))
-    ('T (|insertAlist,fn| |a| |b| |l|) |l|)))
-
 ;--% Union
 ;Un2E(x,source,target) ==
 ;  ['Union,:branches] := source
@@ -6010,12 +5984,12 @@
              (COND
                ((BOOT-EQUAL |u| '|$fromCoerceable$|)
                 (COND
-                  ((AND (PAIRP D) (EQ (QCAR D) '|Vector|)) NIL)
+                  ((AND (CONSP D) (EQ (QCAR D) '|Vector|)) NIL)
                   ('T (|canCoerce| D R))))
-               ((AND (PAIRP D) (EQ (QCAR D) '|Vector|)
+               ((AND (CONSP D) (EQ (QCAR D) '|Vector|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR D))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET E (QCAR |ISTMP#1|)) 'T)))
                      (|isRectangularVector| |u| (MAXINDEX |u|)
                          (MAXINDEX (ELT |u| 0))))
@@ -6075,10 +6049,10 @@
              (SPADLET D (CADR G170831))
              (COND
                ((BOOT-EQUAL |u| '|$fromCoerceable$|) NIL)
-               ((AND (PAIRP D)
+               ((AND (CONSP D)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR D))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN (SPADLET E (QCAR |ISTMP#1|)) 'T)))
                      (|isRectangularVector| |u| (SPADDIFFERENCE |n| 1)
                          (SPADDIFFERENCE |m| 1)))
@@ -6135,10 +6109,10 @@
              (SPADLET D (CADR G170903))
              (COND
                ((BOOT-EQUAL |u| '|$fromCoerceable$|) NIL)
-               ((AND (PAIRP D)
+               ((AND (CONSP D)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR D))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN (SPADLET E (QCAR |ISTMP#1|)) 'T)))
                      (|isRectangularVector| |u| (SPADDIFFERENCE |n| 1)
                          (SPADDIFFERENCE |n| 1)))
@@ -6258,7 +6232,7 @@
         (SPADLET S (CADR |source|))
         (COND
           ((BOOT-EQUAL |u| '|$fromCoerceable$|) (|canCoerce| S T$))
-          ((NULL (AND (PAIRP T$) (EQ (QCAR T$) '|Expression|)))
+          ((NULL (AND (CONSP T$) (EQ (QCAR T$) '|Expression|)))
            (|coercionFailure|))
           ('T (COND ((NEQUAL S '(|Float|)) (SPADLET S |$Integer|)))
            (SPADLET |obj| (|objNewWrap| |u| |source|))
@@ -6579,7 +6553,7 @@
       (SEQ (COND
              ((BOOT-EQUAL |u| '|$fromCoerceable$|)
               (AND (|canCoerce| S |target|) (|canCoerce| T$ |target|)))
-             ((AND (PAIRP S) (EQ (QCAR S) '|SquareMatrix|))
+             ((AND (CONSP S) (EQ (QCAR S) '|SquareMatrix|))
               (COND
                 ((BOOT-EQUAL |source| |target|) |u|)
                 ('T (|coercionFailure|))))
diff -Nru axiom-20110301a/src/interp/i-eval.lisp.pamphlet axiom-20111101/src/interp/i-eval.lisp.pamphlet
--- axiom-20110301a/src/interp/i-eval.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-eval.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -9,338 +9,9 @@
 \eject
 \tableofcontents
 \eject
-Some Antique Comments About the Interpreter
-
-EVAL BOOT contains the top level interface to the Scratchhpad-II
-interpreter.  The Entry point into the interpreter from the parser is
-processInteractive.
-
-The type analysis algorithm is contained in the file BOTMUP BOOT,
-and MODSEL boot,
-the map handling routines are in MAP BOOT and NEWMAP BOOT, and
-the interactive coerce routines are in COERCE BOOT and COERCEFN BOOT.
-
-{\bf Conventions:}
-All spad values in the interpreter are passed around in triples.
-These are lists of three items: 
-\begin{verbatim}
-[value,mode,environment]
-\end{verbatim}
-The value
-may be wrapped (this is a pair whose CAR is the atom WRAPPED and
-whose CDR is the value), which indicates that it is a real value,
-or unwrapped in which case it needs to be EVALed to produce the
-proper value.  The mode is the type of value, and should always be
-completely specified (not contain \$EmptyMode).  The environment
-is always empty, and is included for historical reasons.
-
-{\bf Modemaps:}
-Modemaps are descriptions of compiled Spad function which the
-interpreter uses to perform type analysis. They consist of patterns
-of types for the arguments, and conditions the types must satisfy
-for the function to apply.  For each function name there is a list
-of modemaps in file modemap DATABASE for each distinct function with
-that name. The following is the list of the modemaps for ``*''
-(multiplication. The first modemap (the one with the labels) is for
-module mltiplication which is multiplication of an element of a
-module by a member of its scalar domain.
-
-This is the signature pattern for the modemap, it is of the form:
-\begin{verbatim}
-    (DomainOfComputation TargetType )
-          |
-          |                This is the predicate that needs to be
-          |                 satisfied for the modemap to apply
-          |                            |
-          V                            |
-     /-----------/                     |
- ( ( (*1 *1 *2 *1)                     V
-       /-----------------------------------------------------------/
-     ( (AND (ofCategory *1 (Module *2)) (ofCategory *2 (SimpleRing))) )
-      . CATDEF) <-- This is the file where the function was defined
-   ( (*1 *1 *2 *1)
-     ( (AND (isDomain *2 (Integer)) (ofCategory *1 (AbelianGroup))) )
-      . CATDEF)
-   ( (*1 *1 *2 *1)
-     ( (AND
-         (isDomain *2 (NonNegativeInteger))
-         (ofCategory *1 (AbelianMonoid))) )
-      . CATDEF)
-   ((*1 *1 *1 *1) ((ofCategory *1 (SemiGroup)) ) . CATDEF)
-      )
-\end{verbatim}
-{\bf Environments:}
-Environments associate properties with atoms.
-(see CUTIL BOOT for the exact structure of environments).
-Some common properties are:
-\begin{itemize}
-\item {\bf modeSet:}
-During interpretation we build a modeSet property for each node in
-the expression.  This is (in theory) a list of all the types
-possible for the node.  In the current implementation these
-modeSets always contain a single type.
-\item {\bf value:}
-Value properties are always triples.  This is where the values of
-variables are stored.  We also build value properties for internal
-nodes during the bottom up phase.
-\item {\bf mode:}
-This is the declared type of an identifier.
-\end{itemize}
-
-There are several different environments used in the interpreter:
-\begin{itemize}
-\item {\bf \$InteractiveFrame:} this is the environment where the user
-values are stored.  Any side effects of evaluation of a top-level
-expression are stored in this environment.  It is always used as
-the starting environment for interpretation.
-\item {\bf \$e:} 
-This is the name used for \$InteractiveFrame while interpreting.
-\item {\bf \$env:} This is local environment used by the interpreter.
-Only temporary information (such as types of local variables is
-stored in \$env.
-It is thrown away after evaluation of each expression.
-\end{itemize}
-
-Frequently used global variables:
-\begin{itemize}
-\item {\bf \$genValue}: if true then evaluate generated code, otherwise leave
-code unevaluated.  If \$genValue is false then we are compiling.
-\item {\bf \$op}: name of the top level operator 
-(unused except in map printing)
-\item {\bf \$mapList}:  list of maps being type analyzed, used in recursive
-map type anlysis.
-\item {\bf \$compilingMap}: true when compiling a map, used to detect where to
-THROW when interpret-only is invoked
-\item {\bf \$compilingLoop}: true when compiling a loop body, used to control
-nesting level of interp-only loop CATCH points
-\item {\bf \$interpOnly}: true when in interpret only mode, used to call
-alternate forms of COLLECT and REPEAT.
-\item {\bf \$inCOLLECT}: true when compiling a COLLECT, used only for hacked
-stream compiler.
-\item {\bf \$StreamFrame}: used in printing streams, it is the environment
-where local stream variables are stored
-\item {\bf \$declaredMode}: Weak type propagation for symbols, set in upCOERCE
-and upLET.  This variable is used to determine
-the alternate polynomial types of Symbols.
-\item {\bf \$localVars}: list of local variables in a map body
-\item {\bf \$MapArgumentTypeList}: hack for stream compilation
-\end{itemize}
 \begin{chunk}{*}
 (IN-PACKAGE "BOOT" )
 
-;--% Constructor Evaluation
-;$noEvalTypeMsg := nil
-
-(SPADLET |$noEvalTypeMsg| NIL) 
-
-;evalDomain form ==
-;  if $evalDomain then
-;    sayMSG concat('"   instantiating","%b",prefix2String form,"%d")
-;  startTimingProcess 'instantiation
-;  newType? form => form
-;  result := eval mkEvalable form
-;  stopTimingProcess 'instantiation
-;  result
-
-(DEFUN |evalDomain| (|form|)
- (PROG (|result|)
- (declare (special |$evalDomain|))
-  (RETURN
-   (PROGN
-    (COND
-     (|$evalDomain|
-      (|sayMSG| 
-       (|concat| "   instantiating" 
-        (QUOTE |%b|) (|prefix2String| |form|) (QUOTE |%d|)))))
-    (|startTimingProcess| (QUOTE |instantiation|))
-    (COND
-     ((|newType?| |form|) |form|)
-     ((QUOTE T)
-      (SPADLET |result| (|eval| (|mkEvalable| |form|)))
-      (|stopTimingProcess| (QUOTE |instantiation|))
-      |result|)))))) 
-
-;mkEvalable form ==
-;  form is [op,:argl] =>
-;    op="QUOTE" => form
-;    op="WRAPPED" => mkEvalable devaluate argl
-;    op="Record" => mkEvalableRecord form
-;    op="Union"  => mkEvalableUnion  form
-;    op="Mapping"=> mkEvalableMapping form
-;    op="Enumeration" => form
-;    loadIfNecessary op
-;    kind:= GETDATABASE(op,'CONSTRUCTORKIND)
-;    cosig := GETDATABASE(op, 'COSIG) =>
-;      [op,:[val for x in argl for typeFlag in rest cosig]] where val ==
-;        typeFlag =>
-;          kind = 'category => MKQ x
-;          VECP x => MKQ x
-;          loadIfNecessary x
-;          mkEvalable x
-;        x is ['QUOTE,:.] => x
-;        x is ['_#,y] => ['SIZE,MKQ y]
-;        MKQ x
-;    [op,:[mkEvalable x for x in argl]]
-;  form=$EmptyMode => $Integer
-;  IDENTP form and constructor?(form) => [form]
-;  FBPIP form => BPINAME form
-;  form
-
-(DEFUN |mkEvalable| (|form|)
- (PROG (|op| |argl| |kind| |cosig| |ISTMP#1| |y|)
- (declare (special |$Integer| |$EmptyMode|))
-  (RETURN
-   (SEQ
-    (COND
-     ((AND (PAIRP |form|)
-           (PROGN
-            (SPADLET |op| (QCAR |form|))
-            (SPADLET |argl| (QCDR |form|))
-            (QUOTE T)))
-      (COND
-       ((BOOT-EQUAL |op| (QUOTE QUOTE)) |form|)
-       ((BOOT-EQUAL |op| (QUOTE WRAPPED)) (|mkEvalable| (|devaluate| |argl|)))
-       ((BOOT-EQUAL |op| (QUOTE |Record|)) (|mkEvalableRecord| |form|))
-       ((BOOT-EQUAL |op| (QUOTE |Union|)) (|mkEvalableUnion| |form|))
-       ((BOOT-EQUAL |op| (QUOTE |Mapping|)) (|mkEvalableMapping| |form|))
-       ((BOOT-EQUAL |op| (QUOTE |Enumeration|)) |form|)
-       ((QUOTE T)
-        (|loadIfNecessary| |op|)
-        (SPADLET |kind| (GETDATABASE |op| (QUOTE CONSTRUCTORKIND)))
-        (COND
-         ((SPADLET |cosig| (GETDATABASE |op| (QUOTE COSIG)))
-          (CONS |op|
-           (PROG (#0=#:G166087)
-            (SPADLET #0# NIL)
-            (RETURN
-             (DO ((#1=#:G166097 |argl| (CDR #1#)) 
-                  (|x| NIL)
-                  (#2=#:G166098 (CDR |cosig|) (CDR #2#))
-                  (|typeFlag| NIL))
-                 ((OR (ATOM #1#)
-                      (PROGN (SETQ |x| (CAR #1#)) NIL)
-                      (ATOM #2#)
-                      (PROGN (SETQ |typeFlag| (CAR #2#)) NIL))
-                   (NREVERSE0 #0#))
-              (SEQ
-               (EXIT
-               (SETQ #0#
-                (CONS
-                 (COND
-                  (|typeFlag|
-                   (COND
-                    ((BOOT-EQUAL |kind| (QUOTE |category|)) (MKQ |x|))
-                    ((VECP |x|) (MKQ |x|))
-                    ((QUOTE T) (|loadIfNecessary| |x|) (|mkEvalable| |x|))))
-                  ((AND (PAIRP |x|) (EQ (QCAR |x|) (QUOTE QUOTE))) |x|)
-                  ((AND (PAIRP |x|)
-                        (EQ (QCAR |x|) (QUOTE |#|))
-                        (PROGN
-                         (SPADLET |ISTMP#1| (QCDR |x|))
-                         (AND
-                          (PAIRP |ISTMP#1|)
-                          (EQ (QCDR |ISTMP#1|) NIL)
-                          (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) (QUOTE T)))))
-                   (CONS (QUOTE SIZE) (CONS (MKQ |y|) NIL)))
-                  ((QUOTE T) (MKQ |x|))) #0#)))))))))
-         ((QUOTE T)
-          (CONS |op|
-           (PROG (#3=#:G166111)
-            (SPADLET #3# NIL)
-            (RETURN
-             (DO ((#4=#:G166116 |argl| (CDR #4#)) (|x| NIL))
-                 ((OR (ATOM #4#) (PROGN (SETQ |x| (CAR #4#)) NIL))
-                   (NREVERSE0 #3#))
-              (SEQ (EXIT (SETQ #3# (CONS (|mkEvalable| |x|) #3#)))))))))))))
-     ((BOOT-EQUAL |form| |$EmptyMode|) |$Integer|)
-     ((AND (IDENTP |form|) (|constructor?| |form|)) (CONS |form| NIL))
-     ((FBPIP |form|) (BPINAME |form|))
-     ((QUOTE T) |form|)))))) 
-
-;mkEvalableMapping form ==
-;  [first form,:[mkEvalable d for d in rest form]]
-
-(DEFUN |mkEvalableMapping| (|form|)
- (PROG NIL
-  (RETURN
-   (SEQ
-    (CONS
-     (CAR |form|)
-     (PROG (#0=#:G166137)
-      (SPADLET #0# NIL)
-      (RETURN
-       (DO ((#1=#:G166142 (CDR |form|) (CDR #1#)) (|d| NIL))
-           ((OR (ATOM #1#) (PROGN (SETQ |d| (CAR #1#)) NIL)) (NREVERSE0 #0#))
-        (SEQ (EXIT (SETQ #0# (CONS (|mkEvalable| |d|) #0#)))))))))))) 
-
-;mkEvalableRecord form ==
-;  [first form,:[[":",n,mkEvalable d] for [":",n,d] in rest form]]
-
-(DEFUN |mkEvalableRecord| (|form|)
- (PROG (|n| |d|)
-  (RETURN
-   (SEQ
-    (CONS
-     (CAR |form|)
-     (PROG (#0=#:G166161)
-      (SPADLET #0# NIL)
-      (RETURN
-       (DO ((#1=#:G166167 (CDR |form|) (CDR #1#)) (#2=#:G166152 NIL))
-           ((OR (ATOM #1#)
-                (PROGN (SETQ #2# (CAR #1#)) NIL)
-                (PROGN 
-                 (PROGN (SPADLET |n| (CADR #2#)) (SPADLET |d| (CADDR #2#)) #2#)
-                 NIL))
-             (NREVERSE0 #0#))
-        (SEQ
-         (EXIT
-          (SETQ #0#
-           (CONS
-            (CONS (QUOTE |:|) (CONS |n| (CONS (|mkEvalable| |d|) NIL)))
-            #0#)))))))))))) 
-
-;mkEvalableUnion form ==
-;  isTaggedUnion form =>
-;    [first form,:[[":",n,mkEvalable d] for [":",n,d] in rest form]]
-;  [first form,:[mkEvalable d for d in rest form]]
-
-(DEFUN |mkEvalableUnion| (|form|)
- (PROG (|n| |d|)
-  (RETURN
-   (SEQ
-    (COND
-     ((|isTaggedUnion| |form|)
-      (CONS
-       (CAR |form|)
-       (PROG (#0=#:G166190)
-        (SPADLET #0# NIL)
-        (RETURN
-         (DO ((#1=#:G166196 (CDR |form|) (CDR #1#)) (#2=#:G166180 NIL))
-             ((OR (ATOM #1#)
-                  (PROGN (SETQ #2# (CAR #1#)) NIL)
-                  (PROGN
-                   (PROGN
-                    (SPADLET |n| (CADR #2#))
-                    (SPADLET |d| (CADDR #2#))
-                    #2#)
-                   NIL))
-               (NREVERSE0 #0#))
-          (SEQ
-           (EXIT
-            (SETQ #0#
-             (CONS
-              (CONS (QUOTE |:|) (CONS |n| (CONS (|mkEvalable| |d|) NIL)))
-              #0#)))))))))
-     ((QUOTE T)
-      (CONS
-       (CAR |form|)
-       (PROG (#3=#:G166207)
-        (SPADLET #3# NIL)
-        (RETURN
-         (DO ((#4=#:G166212 (CDR |form|) (CDR #4#)) (|d| NIL))
-             ((OR (ATOM #4#) (PROGN (SETQ |d| (CAR #4#)) NIL)) (NREVERSE0 #3#))
-          (SEQ (EXIT (SETQ #3# (CONS (|mkEvalable| |d|) #3#)))))))))))))) 
-
 ;evaluateType0 form ==
 ;  -- Takes a parsed, unabbreviated type and evaluates it, replacing
 ;  --  type valued variables with their values, and calling bottomUp
@@ -393,15 +64,15 @@
      ((QUOTE T)
       (SPADLET |$expandSegments| NIL)
       (COND
-       ((AND (PAIRP |form|)
+       ((AND (CONSP |form|)
              (EQ (QCAR |form|) (QUOTE |typeOf|))
              (PROGN
               (SPADLET |ISTMP#1| (QCDR |form|))
-              (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+              (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
         (SPADLET |form'| (|mkAtree| |form|))
         (|bottomUp| |form'|)
         (|objVal| (|getValue| |form'|)))
-       ((AND (PAIRP |form|)
+       ((AND (CONSP |form|)
              (PROGN
               (SPADLET |op| (QCAR |form|))
               (SPADLET |argl| (QCDR |form|))
@@ -409,7 +80,7 @@
         (COND
          ((BOOT-EQUAL |op| (QUOTE CATEGORY))
           (COND
-           ((AND (PAIRP |argl|)
+           ((AND (CONSP |argl|)
                  (PROGN
                   (SPADLET |x| (QCAR |argl|))
                   (SPADLET |sigs| (QCDR |argl|))
@@ -441,15 +112,15 @@
              (PROGN
               (SPADLET |ISTMP#1| (CAR |argl|))
               (AND
-               (PAIRP |ISTMP#1|)
+               (CONSP |ISTMP#1|)
                (PROGN
                 (SPADLET |x| (QCAR |ISTMP#1|))
                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                 (AND
-                 (PAIRP |ISTMP#2|)
+                 (CONSP |ISTMP#2|)
                  (PROGN
                   (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                  (AND (PAIRP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL)))))))
+                  (AND (CONSP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL)))))))
              (|member| |x| (QUOTE (|:| |Declare|))))
             (CONS |op|
              (PROG (#4=#:G166300)
@@ -517,355 +188,6 @@
          (|throwEvalTypeMsg| 'S2IE0003
           (CONS |form| (CONS |form| NIL))))))))))))) 
 
-;evaluateType form ==
-;  -- Takes a parsed, unabbreviated type and evaluates it, replacing
-;  --  type valued variables with their values, and calling bottomUp
-;  --  on non-type valued arguemnts to the constructor
-;  --  and finally checking to see whether the type satisfies the
-;  --  conditions of its modemap
-;  domain:= isDomainValuedVariable form => domain
-;  form = $EmptyMode => form
-;  form = "?"        => $EmptyMode
-;  STRINGP form => form
-;  form = "$" => form
-;  $expandSegments : local := nil
-;  form is ['typeOf,.] =>
-;    form' := mkAtree form
-;    bottomUp form'
-;    objVal getValue(form')
-;  form is [op,:argl] =>
-;    op='CATEGORY =>
-;      argl is [x,:sigs] => [op,x,:[evaluateSignature(s) for s in sigs]]
-;      form
-;    op in '(Join Mapping) =>
-;      [op,:[evaluateType arg for arg in argl]]
-;    op='Union  =>
-;      argl and first argl is [x,.,.] and member(x,'(_: Declare)) =>
-;        [op,:[['_:,sel,evaluateType type] for ['_:,sel,type] in argl]]
-;      [op,:[evaluateType arg for arg in argl]]
-;    op='Record =>
-;      [op,:[['_:,sel,evaluateType type] for ['_:,sel,type] in argl]]
-;    op='Enumeration => form
-;    evaluateType1 form
-;  constructor? form =>
-;    ATOM form => evaluateType [form]
-;    throwEvalTypeMsg("S2IE0003",[form,form])
-;  throwEvalTypeMsg("S2IE0004",[form])
-
-(DEFUN |evaluateType| (|form|)
- (PROG (|$expandSegments| |domain| |form'| |op| |argl| |sigs| |ISTMP#1| 
-        |x| |ISTMP#2| |ISTMP#3| |sel| |type|)
- (DECLARE (SPECIAL |$expandSegments| |$EmptyMode|))
-  (RETURN
-   (SEQ
-    (COND
-     ((SPADLET |domain| (|isDomainValuedVariable| |form|)) |domain|)
-     ((BOOT-EQUAL |form| |$EmptyMode|) |form|)
-     ((BOOT-EQUAL |form| (QUOTE ?)) |$EmptyMode|)
-     ((STRINGP |form|) |form|)
-     ((BOOT-EQUAL |form| (QUOTE $)) |form|)
-     ((QUOTE T)
-      (SPADLET |$expandSegments| NIL)
-      (COND
-       ((AND (PAIRP |form|)
-             (EQ (QCAR |form|) (QUOTE |typeOf|))
-             (PROGN
-              (SPADLET |ISTMP#1| (QCDR |form|))
-              (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
-        (SPADLET |form'| (|mkAtree| |form|))
-        (|bottomUp| |form'|)
-        (|objVal| (|getValue| |form'|)))
-       ((AND (PAIRP |form|)
-             (PROGN
-              (SPADLET |op| (QCAR |form|))
-              (SPADLET |argl| (QCDR |form|))
-              (QUOTE T)))
-        (COND
-         ((BOOT-EQUAL |op| (QUOTE CATEGORY))
-          (COND
-           ((AND (PAIRP |argl|)
-                 (PROGN
-                  (SPADLET |x| (QCAR |argl|))
-                  (SPADLET |sigs| (QCDR |argl|))
-                  (QUOTE T)))
-            (CONS |op|
-             (CONS |x|
-              (PROG (#0=#:G166416)
-               (SPADLET #0# NIL)
-               (RETURN
-                (DO ((#1=#:G166421 |sigs| (CDR #1#)) (|s| NIL))
-                    ((OR (ATOM #1#) (PROGN (SETQ |s| (CAR #1#)) NIL))
-                      (NREVERSE0 #0#))
-                 (SEQ
-                  (EXIT
-                   (SETQ #0# (CONS (|evaluateSignature| |s|) #0#))))))))))
-           ((QUOTE T) |form|)))
-         ((|member| |op| (QUOTE (|Join| |Mapping|)))
-          (CONS |op|
-           (PROG (#2=#:G166431)
-            (SPADLET #2# NIL)
-            (RETURN
-             (DO ((#3=#:G166436 |argl| (CDR #3#)) (|arg| NIL))
-                 ((OR (ATOM #3#) (PROGN (SETQ |arg| (CAR #3#)) NIL))
-                   (NREVERSE0 #2#))
-              (SEQ (EXIT (SETQ #2# (CONS (|evaluateType| |arg|) #2#)))))))))
-         ((BOOT-EQUAL |op| (QUOTE |Union|))
-          (COND
-           ((AND
-             |argl|
-             (PROGN
-              (SPADLET |ISTMP#1| (CAR |argl|))
-              (AND
-               (PAIRP |ISTMP#1|)
-               (PROGN
-                (SPADLET |x| (QCAR |ISTMP#1|))
-                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                (AND
-                 (PAIRP |ISTMP#2|)
-                 (PROGN
-                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                  (AND (PAIRP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL)))))))
-             (|member| |x| (QUOTE (|:| |Declare|))))
-            (CONS |op|
-             (PROG (#4=#:G166447)
-              (SPADLET #4# NIL)
-              (RETURN
-               (DO ((#5=#:G166453 |argl| (CDR #5#)) (#6=#:G166400 NIL))
-                   ((OR (ATOM #5#)
-                        (PROGN (SETQ #6# (CAR #5#)) NIL)
-                        (PROGN
-                         (PROGN
-                          (SPADLET |sel| (CADR #6#))
-                          (SPADLET |type| (CADDR #6#))
-                          #6#)
-                         NIL))
-                     (NREVERSE0 #4#))
-                (SEQ
-                 (EXIT
-                  (SETQ #4# 
-                   (CONS
-                    (CONS
-                     (QUOTE |:|)
-                     (CONS |sel| (CONS (|evaluateType| |type|) NIL)))
-                    #4#)))))))))
-           ((QUOTE T)
-            (CONS |op|
-             (PROG (#7=#:G166464)
-              (SPADLET #7# NIL)
-              (RETURN
-               (DO ((#8=#:G166469 |argl| (CDR #8#)) (|arg| NIL))
-                   ((OR (ATOM #8#) (PROGN (SETQ |arg| (CAR #8#)) NIL))
-                     (NREVERSE0 #7#))
-                (SEQ
-                 (EXIT
-                  (SETQ #7# (CONS (|evaluateType| |arg|) #7#)))))))))))
-         ((BOOT-EQUAL |op| (QUOTE |Record|))
-          (CONS |op|
-           (PROG (#9=#:G166480)
-            (SPADLET #9# NIL)
-            (RETURN
-             (DO ((#10=#:G166486 |argl| (CDR #10#)) (#11=#:G166405 NIL))
-                 ((OR (ATOM #10#)
-                      (PROGN (SETQ #11# (CAR #10#)) NIL)
-                      (PROGN
-                       (PROGN
-                        (SPADLET |sel| (CADR #11#))
-                        (SPADLET |type| (CADDR #11#))
-                        #11#)
-                       NIL))
-                   (NREVERSE0 #9#))
-              (SEQ
-               (EXIT
-                (SETQ #9#
-                 (CONS
-                  (CONS
-                   (QUOTE |:|)
-                   (CONS |sel| (CONS (|evaluateType| |type|) NIL)))
-                  #9#)))))))))
-         ((BOOT-EQUAL |op| (QUOTE |Enumeration|)) |form|)
-         ((QUOTE T) (|evaluateType1| |form|))))
-       ((|constructor?| |form|)
-        (COND
-         ((ATOM |form|) (|evaluateType| (CONS |form| NIL)))
-         ((QUOTE T)
-          (|throwEvalTypeMsg|
-           (QUOTE S2IE0003)
-           (CONS |form| (CONS |form| NIL))))))
-       ((QUOTE T)
-        (|throwEvalTypeMsg| (QUOTE S2IE0004) (CONS |form| NIL)))))))))) 
-
-;evaluateType1 form ==
-;  --evaluates the arguments passed to a constructor
-;  [op,:argl]:= form
-;  constructor? op =>
-;    null (sig := getConstructorSignature form) =>
-;       throwEvalTypeMsg("S2IE0005",[form])
-;    [.,:ml] := sig
-;    ml := replaceSharps(ml,form)
-;    # argl ^= #ml => throwEvalTypeMsg("S2IE0003",[form,form])
-;    for x in argl for m in ml for argnum in 1.. repeat
-;      typeList := [v,:typeList] where v ==
-;        categoryForm?(m) =>
-;          m := evaluateType MSUBSTQ(x,'_$,m)
-;          evalCategory(x' := (evaluateType x), m) => x'
-;          throwEvalTypeMsg("S2IE0004",[form])
-;        m := evaluateType m
-;        GETDATABASE(opOf m,'CONSTRUCTORKIND) = 'domain and
-;            (tree := mkAtree x) and  
-;              putTarget(tree,m) and ((bottomUp tree) is [m1]) =>
-;                [zt,:zv]:= z1:= getAndEvalConstructorArgument tree
-;                (v:= coerceOrRetract(z1,m)) => objValUnwrap v
-;                throwKeyedMsgCannotCoerceWithValue(zv,zt,m)
-;        if x = $EmptyMode then x := $quadSymbol
-;        throwEvalTypeMsg("S2IE0006",[makeOrdinal argnum,m,form])
-;    [op,:NREVERSE typeList]
-;  throwEvalTypeMsg("S2IE0007",[op])
-
-(DEFUN |evaluateType1| (|form|)
- (PROG (|op| |argl| |sig| |ml| |x'| |tree| |ISTMP#1| |m1| |z1| |zt| |zv| 
-        |v| |typeList|)
- (declare (special |$quadSymbol| |$EmptyMode|))
-  (RETURN
-   (SEQ
-    (PROGN
-     (SPADLET |op| (CAR |form|))
-     (SPADLET |argl| (CDR |form|))
-     (COND
-      ((|constructor?| |op|)
-       (COND
-        ((NULL (SPADLET |sig| (|getConstructorSignature| |form|)))
-         (|throwEvalTypeMsg| (QUOTE S2IE0005) (CONS |form| NIL)))
-        ((QUOTE T)
-         (SPADLET |ml| (CDR |sig|))
-         (SPADLET |ml| (|replaceSharps| |ml| |form|))
-         (COND
-          ((NEQUAL (|#| |argl|) (|#| |ml|))
-           (|throwEvalTypeMsg|
-            (QUOTE S2IE0003)
-            (CONS |form| (CONS |form| NIL))))
-          ((QUOTE T)
-           (DO ((#0=#:G166558 |argl| (CDR #0#))
-                (|x| NIL)
-                (#1=#:G166559 |ml| (CDR #1#))
-                (|m| NIL)
-                (|argnum| 1 (QSADD1 |argnum|)))
-               ((OR (ATOM #0#)
-                    (PROGN (SETQ |x| (CAR #0#)) NIL)
-                    (ATOM #1#)
-                    (PROGN (SETQ |m| (CAR #1#)) NIL))
-                  NIL)
-            (SEQ
-             (EXIT
-              (SPADLET |typeList|
-               (CONS
-                (COND
-                 ((|categoryForm?| |m|)
-                  (SPADLET |m| (|evaluateType| (MSUBSTQ |x| (QUOTE $) |m|)))
-                  (COND
-                   ((|evalCategory| (SPADLET |x'| (|evaluateType| |x|)) |m|)
-                    |x'|)
-                   ((QUOTE T)
-                    (|throwEvalTypeMsg| (QUOTE S2IE0004) (CONS |form| NIL)))))
-                 ((QUOTE T)
-                  (SPADLET |m| (|evaluateType| |m|))
-                  (COND
-                   ((AND
-                     (BOOT-EQUAL
-                      (GETDATABASE (|opOf| |m|) (QUOTE CONSTRUCTORKIND))
-                      (QUOTE |domain|))
-                     (SPADLET |tree| (|mkAtree| |x|))
-                     (|putTarget| |tree| |m|)
-                     (PROGN
-                      (SPADLET |ISTMP#1| (|bottomUp| |tree|))
-                      (AND
-                       (PAIRP |ISTMP#1|)
-                       (EQ (QCDR |ISTMP#1|) NIL)
-                       (PROGN (SPADLET |m1| (QCAR |ISTMP#1|)) (QUOTE T)))))
-                    (SPADLET |z1| (|getAndEvalConstructorArgument| |tree|))
-                    (SPADLET |zt| (CAR |z1|))
-                    (SPADLET |zv| (CDR |z1|))
-                    (COND
-                     ((SPADLET |v| (|coerceOrRetract| |z1| |m|))
-                      (|objValUnwrap| |v|))
-                     ((QUOTE T)
-                      (|throwKeyedMsgCannotCoerceWithValue| |zv| |zt| |m|))))
-                   ((QUOTE T)
-                    (COND
-                     ((BOOT-EQUAL |x| |$EmptyMode|)
-                      (SPADLET |x| |$quadSymbol|)))
-                    (|throwEvalTypeMsg|
-                     (QUOTE S2IE0006)
-                     (CONS
-                      (|makeOrdinal| |argnum|)
-                      (CONS |m| (CONS |form| NIL))))))))
-                |typeList|)))))
-           (CONS |op| (NREVERSE |typeList|)))))))
-      ((QUOTE T) (|throwEvalTypeMsg| (QUOTE S2IE0007) (CONS |op| NIL))))))))) 
-
-;throwEvalTypeMsg(msg, args) ==
-;  $noEvalTypeMsg => spadThrow()
-;  throwKeyedMsg(msg, args)
-
-(DEFUN |throwEvalTypeMsg| (|msg| |args|)
- (declare (special |$noEvalTypeMsg|))
- (COND
-  (|$noEvalTypeMsg| (|spadThrow|))
-  ((QUOTE T) (|throwKeyedMsg| |msg| |args|)))) 
-
-;makeOrdinal i ==
-;  ('(first second third fourth fifth sixth seventh eighth ninth tenth)).(i-1)
-
-(DEFUN |makeOrdinal| (|i|)
- (ELT
-  (QUOTE (|first| |second| |third| |fourth| |fifth| |sixth| |seventh| 
-          |eighth| |ninth| |tenth|))
-  (SPADDIFFERENCE |i| 1))) 
-
-;evaluateSignature sig ==
-;  -- calls evaluateType on a signature
-;  sig is [ ='SIGNATURE,fun,sigl] =>
-;    ['SIGNATURE,fun,
-;      [(t = '_$ => t; evaluateType(t)) for t in sigl]]
-;  sig
-
-(DEFUN |evaluateSignature| (|sig|)
- (PROG (|ISTMP#1| |fun| |ISTMP#2| |sigl|)
-  (RETURN
-   (SEQ
-    (COND
-     ((AND (PAIRP |sig|)
-           (EQUAL (QCAR |sig|) (QUOTE SIGNATURE))
-           (PROGN
-            (SPADLET |ISTMP#1| (QCDR |sig|))
-            (AND (PAIRP |ISTMP#1|)
-                 (PROGN
-                  (SPADLET |fun| (QCAR |ISTMP#1|))
-                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                  (AND
-                   (PAIRP |ISTMP#2|)
-                   (EQ (QCDR |ISTMP#2|) NIL)
-                   (PROGN (SPADLET |sigl| (QCAR |ISTMP#2|)) (QUOTE T)))))))
-      (CONS
-       (QUOTE SIGNATURE)
-       (CONS |fun|
-        (CONS
-         (PROG (#0=#:G166617)
-          (SPADLET #0# NIL)
-          (RETURN
-           (DO ((#1=#:G166622 |sigl| (CDR #1#)) (|t| NIL))
-               ((OR (ATOM #1#) (PROGN (SETQ |t| (CAR #1#)) NIL))
-                 (NREVERSE0 #0#))
-            (SEQ
-             (EXIT
-              (SETQ #0#
-               (CONS
-                (COND
-                 ((BOOT-EQUAL |t| (QUOTE $)) |t|)
-                 ((QUOTE T) (|evaluateType| |t|)))
-                #0#)))))))
-         NIL))))
-     ((QUOTE T) |sig|)))))) 
-
 ;--% Code Evaluation
 ;-- This code generates, then evaluates code during the bottom up phase
 ;-- of interpretation
@@ -1032,42 +354,42 @@
                      (CONS |fun| (APPEND |form| (CONS NIL NIL))))))
                   ((QUOTE T)
                    (CONS (QUOTE SPADCALL) (APPEND |form| (CONS |fun| NIL))))))
-                ((AND (PAIRP |dc|)
+                ((AND (CONSP |dc|)
                       (EQ (QCAR |dc|) (QUOTE |_FreeFunction_|))
                       (PROGN (SPADLET |freeFun| (QCDR |dc|)) (QUOTE T)))
                  (CONS (QUOTE SPADCALL) (APPEND |form| (CONS |freeFun| NIL))))
-                ((AND (PAIRP |fun|)
+                ((AND (CONSP |fun|)
                       (EQ (QCAR |fun|) (QUOTE XLAM))
                       (PROGN
                        (SPADLET |ISTMP#1| (QCDR |fun|))
                        (AND
-                        (PAIRP |ISTMP#1|)
+                        (CONSP |ISTMP#1|)
                         (PROGN
                          (SPADLET |xargs| (QCAR |ISTMP#1|))
                          (SPADLET |xbody| (QCDR |ISTMP#1|))
                          (QUOTE T)))))
                  (SPADLET |rec| (CAR |form|))
                  (COND 
-                  ((AND (PAIRP |xbody|)
+                  ((AND (CONSP |xbody|)
                         (EQ (QCDR |xbody|) NIL)
                         (PROGN
                          (SPADLET |ISTMP#1| (QCAR |xbody|))
                          (AND
-                          (PAIRP |ISTMP#1|)
+                          (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) (QUOTE RECORDELT))
                           (PROGN
                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                            (AND
-                            (PAIRP |ISTMP#2|)
+                            (CONSP |ISTMP#2|)
                             (PROGN
                              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                              (AND
-                              (PAIRP |ISTMP#3|)
+                              (CONSP |ISTMP#3|)
                               (PROGN
                                (SPADLET |ind| (QCAR |ISTMP#3|))
                                (SPADLET |ISTMP#4| (QCDR |ISTMP#3|))
                                (AND
-                                (PAIRP |ISTMP#4|)
+                                (CONSP |ISTMP#4|)
                                 (EQ (QCDR |ISTMP#4|) NIL)
                                 (PROGN
                                  (SPADLET |len| (QCAR |ISTMP#4|))
@@ -1076,31 +398,31 @@
                     (CONS
                      (CAAR |xbody|)
                      (CONS |rec| (CONS |ind| (CONS |len| NIL))))))
-                  ((AND (PAIRP |xbody|)
+                  ((AND (CONSP |xbody|)
                         (EQ (QCDR |xbody|) NIL)
                         (PROGN
                          (SPADLET |ISTMP#1| (QCAR |xbody|))
                          (AND
-                          (PAIRP |ISTMP#1|)
+                          (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) (QUOTE SETRECORDELT))
                           (PROGN
                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                            (AND
-                            (PAIRP |ISTMP#2|)
+                            (CONSP |ISTMP#2|)
                             (PROGN
                              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                              (AND
-                              (PAIRP |ISTMP#3|)
+                              (CONSP |ISTMP#3|)
                               (PROGN
                                (SPADLET |ind| (QCAR |ISTMP#3|))
                                (SPADLET |ISTMP#4| (QCDR |ISTMP#3|))
                                (AND
-                                (PAIRP |ISTMP#4|)
+                                (CONSP |ISTMP#4|)
                                 (PROGN
                                  (SPADLET |len| (QCAR |ISTMP#4|))
                                  (SPADLET |ISTMP#5| (QCDR |ISTMP#4|))
                                  (AND
-                                  (PAIRP |ISTMP#5|)
+                                  (CONSP |ISTMP#5|)
                                   (EQ (QCDR |ISTMP#5|) NIL))))))))))))
                    (|optSETRECORDELT|
                     (CONS
@@ -1108,21 +430,21 @@
                      (CONS |rec|
                       (CONS |ind| (CONS |len| (CONS (CADDR |form|) NIL)))))))
                   ((AND
-                    (PAIRP |xbody|)
+                    (CONSP |xbody|)
                     (EQ (QCDR |xbody|) NIL)
                     (PROGN
                      (SPADLET |ISTMP#1| (QCAR |xbody|))
                      (AND
-                      (PAIRP |ISTMP#1|)
+                      (CONSP |ISTMP#1|)
                       (EQ (QCAR |ISTMP#1|) (QUOTE RECORDCOPY))
                       (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                        (AND
-                        (PAIRP |ISTMP#2|)
+                        (CONSP |ISTMP#2|)
                         (PROGN
                          (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                          (AND
-                          (PAIRP |ISTMP#3|)
+                          (CONSP |ISTMP#3|)
                           (EQ (QCDR |ISTMP#3|) NIL)
                           (PROGN
                            (SPADLET |len| (QCAR |ISTMP#3|))
@@ -1141,13 +463,8 @@
                      (TAKE (|#| |xargs|) |form|))))))
                 ((QUOTE T)
                  (SPADLET |dcVector| (|evalDomain| |dc|))
-                 (SPADLET |fun0|
-                  (COND
-                   ((|newType?| (CAAR |mm|))
-                    (SPADLET |mm'| (CAR (|ncSigTransform| |mm|)))
-                    (|ncGetFunction| |opName| (CAR |mm'|) (CDR |mm'|)))
-                   ((QUOTE T)
-                    (|NRTcompileEvalForm| |opName| |fun| |dcVector|))))
+                 (SPADLET |fun0| 
+                  (|NRTcompileEvalForm| |opName| |fun| |dcVector|))
                  (COND
                   ((NULL |fun0|)
                    (|throwKeyedMsg| (QUOTE S2IE0008) (CONS |opName| NIL)))
@@ -1195,6 +512,29 @@
          (SPADLET |targetType| (|NRTtypeHack| |targetType|))))
        (|evalFormMkValue| |op| |form| |targetType|)))))))) 
 
+;devaluateDeeply x ==
+;  VECP x => devaluate x
+;  atom x => x
+;  [devaluateDeeply y for y in x]
+
+(DEFUN |devaluateDeeply| (|x|)
+  (PROG ()
+    (RETURN
+      (SEQ (COND
+             ((VECP |x|) (|devaluate| |x|))
+             ((ATOM |x|) |x|)
+             ('T
+              (PROG (G166066)
+                (SPADLET G166066 NIL)
+                (RETURN
+                  (DO ((G166071 |x| (CDR G166071)) (|y| NIL))
+                      ((OR (ATOM G166071)
+                           (PROGN (SETQ |y| (CAR G166071)) NIL))
+                       (NREVERSE0 G166066))
+                    (SEQ (EXIT (SETQ G166066
+                                     (CONS (|devaluateDeeply| |y|)
+                                      G166066)))))))))))))
+
 ;sideEffectedArg?(t,sig,opName) ==
 ;  opString := SYMBOL_-NAME opName
 ;  (opName ^= 'setelt) and (ELT(opString, #opString-1) ^= char '_!) => nil
@@ -1257,13 +597,13 @@
      (COND
       ((AND
         (SPADLET |m| (|getMode| |a|))
-        (PAIRP |m|)
+        (CONSP |m|)
         (EQ (QCAR |m|) (QUOTE |Mapping|))
         (PROGN (SPADLET |ml| (QCDR |m|)) (QUOTE T))
         (BOOT-EQUAL |m| |t|)
         (PROGN
          (SPADLET |ISTMP#1| (|objValUnwrap| |t'|))
-         (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE MAP)))))
+         (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE MAP)))))
        (|getMappingArgValue| |a| |t| |m|))
       ((QUOTE T)
        (SPADLET |t'| (|coerceOrRetract| |t'| |t|))
@@ -1332,15 +672,15 @@
                (EXIT
                 (COND
                  ((AND
-                   (PAIRP |mm|)
+                   (CONSP |mm|)
                    (PROGN
                     (SPADLET |ISTMP#1| (QCAR |mm|))
                     (AND
-                     (PAIRP |ISTMP#1|)
+                     (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |ml1| (QCDR |ISTMP#1|)) (QUOTE T))))
                    (PROGN
                     (SPADLET |ISTMP#2| (QCDR |mm|))
-                    (AND (PAIRP |ISTMP#2|)
+                    (AND (CONSP |ISTMP#2|)
                          (PROGN
                           (SPADLET |oldName| (QCAR |ISTMP#2|))
                           (QUOTE T))))
@@ -1362,16 +702,16 @@
            (SEQ
             (EXIT
              (COND
-              ((AND (PAIRP |mm|)
+              ((AND (CONSP |mm|)
                     (PROGN
                      (SPADLET |ISTMP#1| (QCAR |mm|))
                      (AND
-                      (PAIRP |ISTMP#1|)
+                      (CONSP |ISTMP#1|)
                       (PROGN (SPADLET |ml1| (QCDR |ISTMP#1|)) (QUOTE T))))
                     (PROGN
                      (SPADLET |ISTMP#2| (QCDR |mm|))
                      (AND
-                      (PAIRP |ISTMP#2|)
+                      (CONSP |ISTMP#2|)
                       (PROGN (SPADLET |oldName| (QCAR |ISTMP#2|)) (QUOTE T))))
                     (BOOT-EQUAL |ml| |ml1|))
                (SETQ #3# (OR #3# |mm|)))))))))
@@ -1414,7 +754,7 @@
     (COND
      ((NULL |v|) NIL)
      ((NULL |cond|) |v|)
-     ((OR (AND (PAIRP |v|) (EQ (QCAR |v|) (QUOTE QUOTE))) (|getBasicMode| |v|))
+     ((OR (AND (CONSP |v|) (EQ (QCAR |v|) (QUOTE QUOTE))) (|getBasicMode| |v|))
       |v|)
      ((QUOTE T)
       (SPADLET |n| (|getUnnameIfCan| |arg|))
diff -Nru axiom-20110301a/src/interp/i-funsel.lisp.pamphlet axiom-20111101/src/interp/i-funsel.lisp.pamphlet
--- axiom-20110301a/src/interp/i-funsel.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-funsel.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -217,7 +217,7 @@
              (COND
                ((AND (OR (AND (|isSharpVarWithNum| |n|) |opMode|)
                          (AND |val| |opMode|))
-                     (PAIRP |opMode|) (EQ (QCAR |opMode|) '|Mapping|)
+                     (CONSP |opMode|) (EQ (QCAR |opMode|) '|Mapping|)
                      (PROGN (setq |ta| (QCDR |opMode|)) t))
                 (setq |imp|
                          (COND
@@ -228,18 +228,18 @@
                       NIL))
                ((AND (OR (AND (|isSharpVarWithNum| |n|) |opMode|)
                          (AND |val| |opMode|))
-                     (PAIRP |opMode|) (EQ (QCAR |opMode|) '|Variable|)
+                     (CONSP |opMode|) (EQ (QCAR |opMode|) '|Variable|)
                      (PROGN
                        (setq |ISTMP#1| (QCDR |opMode|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (setq |f| (QCAR |ISTMP#1|)) t))))
                 (|emptyAtree| |op|) (SETELT |op| 0 |f|)
                 (|selectMms| |op| |args| |$declaredMode|))
-               ((AND (|isSharpVarWithNum| |n|) (PAIRP |opMode|)
+               ((AND (|isSharpVarWithNum| |n|) (CONSP |opMode|)
                      (EQ (QCAR |opMode|) '|FunctionCalled|)
                      (PROGN
                        (setq |ISTMP#1| (QCDR |opMode|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (setq |f| (QCAR |ISTMP#1|)) t))))
                 (SETELT |op| 0 |f|)
                 (|selectMms| |op| |args| |$declaredMode|))
@@ -451,7 +451,7 @@
 ;    if tar and not isPartialMode tar then
 ;      if xx := underDomainOf(tar) then a := cons(xx,a)
 ;    for x in args1 repeat
-;      PAIRP(x) and CAR(x) in '(List Vector Stream FiniteSet Array) =>
+;      CONSP(x) and CAR(x) in '(List Vector Stream FiniteSet Array) =>
 ;        xx := underDomainOf(x) => a := cons(xx,a)
 ;    -- now extend this list with those from the arguments to
 ;    -- any Unions, Mapping or Records
@@ -473,7 +473,7 @@
 ;        (xm := get(name,'mode,$e)) and not isPartialMode xm =>
 ;          a' := cons(xm,a')
 ;    a := append(a,REMDUP a')
-;    a := [x for x in a | PAIRP(x)]
+;    a := [x for x in a | CONSP(x)]
 ;    -- step 1. see if we have one without coercing
 ;    a' := a
 ;    while a repeat
@@ -523,12 +523,12 @@
                                (EQL 2 |nargs|)
                                (PROGN
                                  (setq |ISTMP#1| (CAR |args1|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCAR |ISTMP#1|) '|Variable|)
                                       (PROGN
                                         (setq |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (setq |fun|
@@ -560,13 +560,13 @@
                                (EQL 2 |nargs|)
                                (PROGN
                                  (setq |ISTMP#1| (CAR |args1|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCAR |ISTMP#1|)
                                        '|FunctionCalled|)
                                       (PROGN
                                         (setq |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (setq |fun|
@@ -643,7 +643,7 @@
                                     NIL)
                                  (SEQ (EXIT
                                        (COND
-                                         ((AND (PAIRP |x|)
+                                         ((AND (CONSP |x|)
                                            (|member| (CAR |x|)
                                             '(|List| |Vector| |Stream|
                                               |FiniteSet| |Array|)))
@@ -669,7 +669,7 @@
                                           '(|RationalRadicals|))
                                          (setq |a'|
                                           (CONS |$RationalNumber| |a'|)))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|Union|)
                                           (PROGN
                                             (setq |l| (QCDR |x|))
@@ -679,7 +679,7 @@
                                              (PROGN
                                                (setq |ISTMP#1|
                                                 (CAR |l|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCAR |ISTMP#1|)
                                                  '|:|))))
                                             (DO
@@ -706,14 +706,14 @@
                                             (setq |a'|
                                              (APPEND (REVERSE |l|)
                                               |a'|)))))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|Mapping|)
                                           (PROGN
                                             (setq |l| (QCDR |x|))
                                             t))
                                          (setq |a'|
                                           (APPEND (REVERSE |l|) |a'|)))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|Record|)
                                           (PROGN
                                             (setq |l| (QCDR |x|))
@@ -740,13 +740,13 @@
                                                      (CONS (CADDR |s|)
                                                       G166292))))))))
                                            |a'|)))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|)
                                            '|FunctionCalled|)
                                           (PROGN
                                             (setq |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCDR |ISTMP#1|) NIL)
                                              (PROGN
                                                (setq |name|
@@ -780,7 +780,7 @@
                                               (SEQ
                                                (EXIT
                                                 (COND
-                                                  ((PAIRP |x|)
+                                                  ((CONSP |x|)
                                                    (SETQ G166308
                                                     (CONS |x|
                                                      G166308))))))))))
@@ -827,17 +827,17 @@
  (let (tmp1)
  (declare (special |$Symbol|))
   (or 
-   (and (pairp arg)
+   (and (consp arg)
         (eq (qcar arg) '|Variable|)
         (progn
          (setq tmp1 (qcdr arg))
-         (and (pairp tmp1) (eq (qcdr tmp1) nil))))
+         (and (consp tmp1) (eq (qcdr tmp1) nil))))
    (boot-equal arg |$Symbol|)
-   (and (pairp arg)
+   (and (consp arg)
         (eq (qcar arg) '|OrderedVariableList|)
         (progn
           (setq tmp1 (qcdr arg))
-          (and (pairp tmp1) (eq (qcdr tmp1) nil)))))))
+          (and (consp tmp1) (eq (qcdr tmp1) nil)))))))
 
 ;defaultTarget(opNode,op,nargs,args) ==
 ;  -- this is for efficiency. Chooses standard targets for operations
@@ -1076,19 +1076,19 @@
                      (t (setq |a2| (CADR |args|))
                       (COND
                         ((AND (>= |nargs| 2) (BOOT-EQUAL |op| '|draw|)
-                              (PAIRP |a1|)
+                              (CONSP |a1|)
                               (EQ (QCAR |a1|) '|FunctionCalled|)
                               (PROGN
                                 (setq |ISTMP#1| (QCDR |a1|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (setq |sym| (QCAR |ISTMP#1|))
                                        t)))
-                              (PAIRP |a2|) (EQ (QCAR |a2|) '|Segment|)
+                              (CONSP |a2|) (EQ (QCAR |a2|) '|Segment|)
                               (PROGN
                                 (setq |ISTMP#1| (QCDR |a2|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL))))
                          (setq |symNode| (|mkAtreeNode| |sym|))
                          (|transferPropsToNode| |sym| |symNode|)
@@ -1096,12 +1096,12 @@
                            ((AND (>= |nargs| 3)
                                  (PROGN
                                    (setq |ISTMP#1| (CADDR |args|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCAR |ISTMP#1|) '|Segment|)
                                     (PROGN
                                       (setq |ISTMP#2|
                                        (QCDR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
+                                      (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL))))))
                             (|selectLocalMms| |symNode| |sym|
                                 (CONS |$DoubleFloat|
@@ -1133,19 +1133,19 @@
                            (t |target|)))
                         ((AND (>= |nargs| 2)
                               (BOOT-EQUAL |op| '|makeObject|)
-                              (PAIRP |a1|)
+                              (CONSP |a1|)
                               (EQ (QCAR |a1|) '|FunctionCalled|)
                               (PROGN
                                 (setq |ISTMP#1| (QCDR |a1|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (setq |sym| (QCAR |ISTMP#1|))
                                        t)))
-                              (PAIRP |a2|) (EQ (QCAR |a2|) '|Segment|)
+                              (CONSP |a2|) (EQ (QCAR |a2|) '|Segment|)
                               (PROGN
                                 (setq |ISTMP#1| (QCDR |a2|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL))))
                          (setq |symNode| (|mkAtreeNode| |sym|))
                          (|transferPropsToNode| |sym| |symNode|)
@@ -1153,12 +1153,12 @@
                            ((AND (>= |nargs| 3)
                                  (PROGN
                                    (setq |ISTMP#1| (CADDR |args|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCAR |ISTMP#1|) '|Segment|)
                                     (PROGN
                                       (setq |ISTMP#2|
                                        (QCDR |ISTMP#1|))
-                                      (AND (PAIRP |ISTMP#2|)
+                                      (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL))))))
                             (|selectLocalMms| |symNode| |sym|
                                 (CONS |$DoubleFloat|
@@ -1175,54 +1175,54 @@
                             (COND
                               ((AND (BOOT-EQUAL |a1|
                                      '(|BasicOperator|))
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|List|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |ISTMP#2|
                                           (QCAR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCAR |ISTMP#2|)
                                            '|OrderedVariableList|)
                                           (PROGN
                                             (setq |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQ (QCDR |ISTMP#3|) NIL))))))))
                                (CONS '|Expression|
                                      (CONS |$Integer| NIL)))
                               (t |target|)))
                            ((BOOT-EQUAL |op| '|eval|)
                             (COND
-                              ((AND (PAIRP |a1|)
+                              ((AND (CONSP |a1|)
                                     (EQ (QCAR |a1|) '|Expression|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a1|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |b1|
                                           (QCAR |ISTMP#1|))
                                          t)))
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Equation|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |ISTMP#2|
                                           (QCAR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCAR |ISTMP#2|)
                                            '|Polynomial|)
                                           (PROGN
                                             (setq |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQ (QCDR |ISTMP#3|) NIL)
                                              (PROGN
                                                (setq |b2|
@@ -1245,17 +1245,17 @@
                                  (|target|
                                      (|putTarget| |opNode| |target|)))
                                |target|)
-                              ((AND (PAIRP |a1|)
+                              ((AND (CONSP |a1|)
                                     (EQ (QCAR |a1|) '|Equation|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a1|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)))
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Equation|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL))))
                                (setq |target|
                                         (|resolveTT| |a1| |a2|))
@@ -1266,27 +1266,27 @@
                                   (|putTarget| |opNode| |target|))
                                  (t (setq |target| NIL)))
                                |target|)
-                              ((AND (PAIRP |a1|)
+                              ((AND (CONSP |a1|)
                                     (EQ (QCAR |a1|) '|Equation|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a1|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)))
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|List|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |a2e|
                                           (QCAR |ISTMP#1|))
                                          t)))
-                                    (PAIRP |a2e|)
+                                    (CONSP |a2e|)
                                     (EQ (QCAR |a2e|) '|Equation|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2e|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL))))
                                (setq |target|
                                         (|resolveTT| |a1| |a2e|))
@@ -1297,32 +1297,32 @@
                                   (|putTarget| |opNode| |target|))
                                  (t (setq |target| NIL)))
                                |target|)
-                              ((OR (AND (PAIRP |a2|)
+                              ((OR (AND (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Equation|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |a2e|
                                           (QCAR |ISTMP#1|))
                                          t))))
-                                   (AND (PAIRP |a2|)
+                                   (AND (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|List|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |ISTMP#2|
                                           (QCAR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCAR |ISTMP#2|)
                                            '|Equation|)
                                           (PROGN
                                             (setq |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQ (QCDR |ISTMP#3|) NIL)
                                              (PROGN
                                                (setq |a2e|
@@ -1359,11 +1359,11 @@
                                |target|)
                               ((AND (BOOT-EQUAL |a1|
                                      '(|AlgebraicNumber|))
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Complex|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq |a3|
@@ -1386,18 +1386,18 @@
                                |target|)
                               ((AND (BOOT-EQUAL |a2| |$RationalNumber|)
                                     (OR (|isAVariableType| |a1|)
-                                     (AND (PAIRP |a1|)
+                                     (AND (CONSP |a1|)
                                       (EQ (QCAR |a1|) '|Polynomial|)
                                       (PROGN
                                         (setq |ISTMP#1| (QCDR |a1|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL))))
-                                     (AND (PAIRP |a1|)
+                                     (AND (CONSP |a1|)
                                       (EQ (QCAR |a1|)
                                        '|RationalFunction|)
                                       (PROGN
                                         (setq |ISTMP#1| (QCDR |a1|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL))))))
                                (|putTarget| |opNode|
                                    (setq |target|
@@ -1418,11 +1418,11 @@
                                    (setq |target|
                                     (|defaultTargetFE| |a1|)))
                                |target|)
-                              ((AND (PAIRP |a2|)
+                              ((AND (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Polynomial|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq D (QCAR |ISTMP#1|))
@@ -1430,13 +1430,13 @@
                                (COND
                                  ((OR (BOOT-EQUAL |a1| |a2|)
                                       (|isAVariableType| |a1|)
-                                      (AND (PAIRP |a1|)
+                                      (AND (CONSP |a1|)
                                        (EQ (QCAR |a1|)
                                         '|RationalFunction|)
                                        (PROGN
                                          (setq |ISTMP#1|
                                           (QCDR |a1|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (setq D1
@@ -1444,13 +1444,13 @@
                                             t)))
                                        (BOOT-EQUAL D1 D))
                                       (BOOT-EQUAL |a1| D)
-                                      (AND (PAIRP |a1|)
+                                      (AND (CONSP |a1|)
                                        (EQUAL (QCAR |a1|)
                                         |$QuotientField|)
                                        (PROGN
                                          (setq |ISTMP#1|
                                           (QCDR |a1|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (setq D1
@@ -1462,12 +1462,12 @@
                                        (|defaultTargetFE| |a2|)))
                                   |target|)
                                  (t |target|)))
-                              ((AND (PAIRP |a2|)
+                              ((AND (CONSP |a2|)
                                     (EQ (QCAR |a2|)
                                      '|RationalFunction|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (setq D (QCAR |ISTMP#1|))
@@ -1475,13 +1475,13 @@
                                (COND
                                  ((OR (BOOT-EQUAL |a1| |a2|)
                                       (|isAVariableType| |a1|)
-                                      (AND (PAIRP |a1|)
+                                      (AND (CONSP |a1|)
                                        (EQ (QCAR |a1|)
                                         '|RationalFunction|)
                                        (PROGN
                                          (setq |ISTMP#1|
                                           (QCDR |a1|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (setq D1
@@ -1489,13 +1489,13 @@
                                             t)))
                                        (BOOT-EQUAL D1 D))
                                       (BOOT-EQUAL |a1| D)
-                                      (AND (PAIRP |a1|)
+                                      (AND (CONSP |a1|)
                                        (EQUAL (QCAR |a1|)
                                         |$QuotientField|)
                                        (PROGN
                                          (setq |ISTMP#1|
                                           (QCDR |a1|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (setq D1
@@ -1524,17 +1524,17 @@
                                             '(|Field|)))
                                   (|putTarget| |opNode| |target|)))
                                |target|)
-                              ((AND (PAIRP |a1|)
+                              ((AND (CONSP |a1|)
                                     (EQ (QCAR |a1|) '|Variable|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a1|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)))
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Variable|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL))))
                                (|putTarget| |opNode|
                                    (setq |target|
@@ -1542,30 +1542,30 @@
                                |target|)
                               ((AND (|isEqualOrSubDomain| |a1|
                                      |$Integer|)
-                                    (PAIRP |a2|)
+                                    (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Variable|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL))))
                                (|putTarget| |opNode|
                                    (setq |target|
                                     (|mkRationalFunction| '(|Integer|))))
                                |target|)
                               (t
-                               (AND (PAIRP |a1|)
+                               (AND (CONSP |a1|)
                                     (EQ (QCAR |a1|) '|Variable|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a1|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)))
                                     (COND
-                                      ((AND (PAIRP |a2|)
+                                      ((AND (CONSP |a2|)
                                         (EQ (QCAR |a2|) '|Polynomial|)
                                         (PROGN
                                           (setq |ISTMP#1|
                                            (QCDR |a2|))
-                                          (AND (PAIRP |ISTMP#1|)
+                                          (AND (CONSP |ISTMP#1|)
                                            (EQ (QCDR |ISTMP#1|) NIL)
                                            (PROGN
                                              (setq D
@@ -1576,19 +1576,19 @@
                                          (|mkRationalFunction| D)))
                                        |target|)
                                       (t |target|)))
-                               (AND (PAIRP |a2|)
+                               (AND (CONSP |a2|)
                                     (EQ (QCAR |a2|) '|Variable|)
                                     (PROGN
                                       (setq |ISTMP#1| (QCDR |a2|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)))
                                     (COND
-                                      ((AND (PAIRP |a1|)
+                                      ((AND (CONSP |a1|)
                                         (EQ (QCAR |a1|) '|Polynomial|)
                                         (PROGN
                                           (setq |ISTMP#1|
                                            (QCDR |a1|))
-                                          (AND (PAIRP |ISTMP#1|)
+                                          (AND (CONSP |ISTMP#1|)
                                            (EQ (QCDR |ISTMP#1|) NIL)
                                            (PROGN
                                              (setq D
@@ -1600,12 +1600,12 @@
                                        |target|)
                                       (t |target|)))
                                (COND
-                                 ((AND (PAIRP |a2|)
+                                 ((AND (CONSP |a2|)
                                        (EQ (QCAR |a2|) '|Polynomial|)
                                        (PROGN
                                          (setq |ISTMP#1|
                                           (QCDR |a2|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (setq D
@@ -1624,12 +1624,12 @@
                                    ((BOOT-EQUAL |op| '|eval|)
                                     (EXIT
                                      (COND
-                                       ((AND (PAIRP |a3|)
+                                       ((AND (CONSP |a3|)
                                          (EQ (QCAR |a3|) '|List|)
                                          (PROGN
                                            (setq |ISTMP#1|
                                             (QCDR |a3|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (EQ (QCDR |ISTMP#1|) NIL)
                                             (PROGN
                                               (setq |a3e|
@@ -1684,10 +1684,10 @@
                     |$RationalNumber|))
     (RETURN
       (COND
-        ((OR (AND (PAIRP |a|) (EQ (QCAR |a|) '|Variable|)
+        ((OR (AND (CONSP |a|) (EQ (QCAR |a|) '|Variable|)
                   (PROGN
                     (setq |ISTMP#1| (QCDR |a|))
-                    (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                    (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
              (BOOT-EQUAL |a| |$RationalNumber|)
              (member (QCAR |a|)
                    (CONS (QCAR |$Symbol|)
@@ -1700,24 +1700,24 @@
             (CONS |$FunctionalExpression|
                   (CONS (CONS '|Complex| (CONS |$Integer| NIL)) NIL)))
            (t (CONS |$FunctionalExpression| (CONS |$Integer| NIL)))))
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) '|Complex|)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) '|Complex|)
               (PROGN
                 (setq |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (setq |uD| (QCAR |ISTMP#1|)) t))))
          (|defaultTargetFE| |uD| t))
-        ((AND (PAIRP |a|)
+        ((AND (CONSP |a|)
               (PROGN
                 (setq D (QCAR |a|))
                 (setq |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (setq |uD| (QCAR |ISTMP#1|)) t)))
               (member D '(|Polynomial| |RationalFunction| |Fraction|)))
          (|defaultTargetFE| |uD| (IFCAR |options|)))
-        ((AND (PAIRP |a|) (EQUAL (QCAR |a|) |$FunctionalExpression|)
+        ((AND (CONSP |a|) (EQUAL (QCAR |a|) |$FunctionalExpression|)
               (PROGN
                 (setq |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
          |a|)
         ((IFCAR |options|)
          (CONS |$FunctionalExpression|
@@ -1749,11 +1749,11 @@
                            |$declaredMode|)))
      a)
    ((and 
-     (pairp type) 
+     (consp type) 
      (eq (qcar type) '|OrderedVariableList|)
      (progn
       (setq tmp1 (qcdr type))
-      (and (pairp tmp1) 
+      (and (consp tmp1) 
            (eq (qcdr tmp1) nil)
            (progn (setq vl (qcar tmp1)) t)))
      (integerp (setq val1 (|objValUnwrap| (|getValue| val))))
@@ -1821,31 +1821,31 @@
     (RETURN
       (SEQ (COND
              ((NULL |args|) NIL)
-             ((AND (BOOT-EQUAL |opname| '|coef|) (PAIRP |args|)
+             ((AND (BOOT-EQUAL |opname| '|coef|) (CONSP |args|)
                    (PROGN
                      (setq |b| (QCAR |args|))
                      (setq |ISTMP#1| (QCDR |args|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (setq |n| (QCAR |ISTMP#1|)) t))))
               (CONS (CAR (|getModeSet| |b|))
                     (CONS (CAR (|getModeSetUseSubdomain| |n|)) NIL)))
-             ((AND (BOOT-EQUAL |opname| '|monom|) (PAIRP |args|)
+             ((AND (BOOT-EQUAL |opname| '|monom|) (CONSP |args|)
                    (PROGN
                      (setq |d| (QCAR |args|))
                      (setq |ISTMP#1| (QCDR |args|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (setq |c| (QCAR |ISTMP#1|)) t))))
               (CONS (CAR (|getModeSetUseSubdomain| |d|))
                     (CONS (CAR (|getModeSet| |c|)) NIL)))
-             ((AND (BOOT-EQUAL |opname| '|monom|) (PAIRP |args|)
+             ((AND (BOOT-EQUAL |opname| '|monom|) (CONSP |args|)
                    (PROGN
                      (setq |v| (QCAR |args|))
                      (setq |ISTMP#1| (QCDR |args|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |d| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |c| (QCAR |ISTMP#2|))
@@ -1971,7 +1971,7 @@
 ;   MEMQ(QCAR cond,'(AND OR and or)) =>
 ;       or/[CONTAINEDisDomain(symbol, u) for u in QCDR cond]
 ;   EQ(QCAR cond,'isDomain) =>
-;       EQ(symbol,CADR cond) and PAIRP(dom:=CADDR cond) and
+;       EQ(symbol,CADR cond) and CONSP(dom:=CADDR cond) and
 ;         MEMQ(dom,'(PositiveInteger NonNegativeInteger))
 ;   false
 
@@ -1996,7 +1996,7 @@
                                        |u|)))))))))
              ((EQ (QCAR |cond|) '|isDomain|)
               (AND (EQ |symbol| (CADR |cond|))
-                   (PAIRP (setq |dom| (CADDR |cond|)))
+                   (CONSP (setq |dom| (CADDR |cond|)))
                    (member |dom|
                          '(|PositiveInteger| |NonNegativeInteger|))))
              (t NIL))))))
@@ -2040,7 +2040,7 @@
       (and obj
        (progn
         (setq tmp1 (|objVal| obj))
-                (and (pairp tmp1) 
+                (and (consp tmp1) 
                      (eq (qcar tmp1) 'map)
                      (progn (setq mapDef (qcdr tmp1)) t)))
        (|analyzeMap| op types mapDef tar)
@@ -2107,12 +2107,12 @@
                         NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((NULL (AND (PAIRP |dcSig|)
+                            ((NULL (AND (CONSP |dcSig|)
                                     (PROGN
                                       (setq |dc| (QCAR |dcSig|))
                                       (setq |ISTMP#1|
                                        (QCDR |dcSig|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (setq |result|
                                           (QCAR |ISTMP#1|))
@@ -2615,7 +2615,7 @@
 ;      $genValue =>
 ;         compiledLookupCheck(opName,sig,evalDomain dom)
 ;      NRTcompileEvalForm(opName, sig, evalDomain dom)
-;  NULL(fun) or NULL(PAIRP(fun)) => NIL
+;  NULL(fun) or NULL(CONSP(fun)) => NIL
 ;  CAR fun = function(Undef) => throwKeyedMsg("S2IS0023",[opName,dom])
 ;  binVal :=
 ;    $genValue => wrap fun
@@ -2655,7 +2655,7 @@
                        (|NRTcompileEvalForm| |opName| |sig|
                            (|evalDomain| |dom|)))))
            (COND
-             ((OR (NULL |fun|) (NULL (PAIRP |fun|))) NIL)
+             ((OR (NULL |fun|) (NULL (CONSP |fun|))) NIL)
              ((BOOT-EQUAL (CAR |fun|) (|function| |Undef|))
               (|throwKeyedMsg| 'S2IS0023
                   (CONS |opName| (CONS |dom| NIL))))
@@ -3065,9 +3065,9 @@
                                    (NULL
                                     (PROGN
                                       (setq |ISTMP#1| (CAR |sig|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCAR |ISTMP#1|) '|Union|))))
-                                   (PAIRP |slot|)
+                                   (CONSP |slot|)
                                    (PROGN
                                      (setq |tar| (QCAR |slot|))
                                      (setq |args| (QCDR |slot|))
@@ -3092,7 +3092,7 @@
                                    (CONS |osig|
                                     (CONS (NREVERSE $RTC) NIL)))
                              NIL))
-                      ((AND (PAIRP |y|) (EQ (QCAR |y|) 'XLAM))
+                      ((AND (CONSP |y|) (EQ (QCAR |y|) 'XLAM))
                        (CONS (CONS (CONS |dc| |sig|)
                                    (CONS |y|
                                     (CONS (NREVERSE $RTC) NIL)))
@@ -3116,7 +3116,7 @@
 ;  for [a,b,d] in funlist repeat
 ;    not EQ(a,op) => nil
 ;    d is ['XLAM,xargs,:.] =>
-;      if PAIRP(xargs) then maxargs := MAX(maxargs,#xargs)
+;      if CONSP(xargs) then maxargs := MAX(maxargs,#xargs)
 ;      else maxargs := MAX(maxargs,1)
 ;      impls := cons([b,nil,true,d],impls)
 ;    impls := cons([b,d,true,d],impls)
@@ -3171,16 +3171,16 @@
                      NIL)
                   (SEQ (EXIT (COND
                                ((NULL (EQ |a| |op|)) NIL)
-                               ((AND (PAIRP |d|) (EQ (QCAR |d|) 'XLAM)
+                               ((AND (CONSP |d|) (EQ (QCAR |d|) 'XLAM)
                                      (PROGN
                                        (setq |ISTMP#1| (QCDR |d|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (PROGN
                                           (setq |xargs|
                                            (QCAR |ISTMP#1|))
                                           t))))
                                 (COND
-                                  ((PAIRP |xargs|)
+                                  ((CONSP |xargs|)
                                    (setq |maxargs|
                                     (MAX |maxargs| (|#| |xargs|))))
                                   (t
@@ -3258,11 +3258,11 @@
              (setq |$domPvar| NIL)
              (OR (ATOM |cond|)
                  (COND
-                   ((OR (AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
+                   ((OR (AND (CONSP |cond|) (EQ (QCAR |cond|) 'AND)
                              (PROGN
                                (setq |conds| (QCDR |cond|))
                                t))
-                        (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|and|)
+                        (AND (CONSP |cond|) (EQ (QCAR |cond|) '|and|)
                              (PROGN
                                (setq |conds| (QCDR |cond|))
                                t)))
@@ -3280,11 +3280,11 @@
                           (SEQ (EXIT (SETQ G167622
                                       (AND G167622
                                        (|matchMmCond| |c|)))))))))
-                   ((OR (AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
+                   ((OR (AND (CONSP |cond|) (EQ (QCAR |cond|) 'OR)
                              (PROGN
                                (setq |conds| (QCDR |cond|))
                                t))
-                        (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|or|)
+                        (AND (CONSP |cond|) (EQ (QCAR |cond|) '|or|)
                              (PROGN
                                (setq |conds| (QCDR |cond|))
                                t)))
@@ -3302,23 +3302,23 @@
                           (SEQ (EXIT (SETQ G167636
                                       (OR G167636
                                        (|matchMmCond| |c|)))))))))
-                   ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|has|)
+                   ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|has|)
                          (PROGN
                            (setq |ISTMP#1| (QCDR |cond|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (setq |dom| (QCAR |ISTMP#1|))
                                   (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (setq |x| (QCAR |ISTMP#2|))
                                          t))))))
                     (NEQUAL (|hasCaty| |dom| |x| NIL) '|failed|))
-                   ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|not|)
+                   ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|not|)
                          (PROGN
                            (setq |ISTMP#1| (QCDR |cond|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (setq |cond1| (QCAR |ISTMP#1|))
@@ -3396,11 +3396,11 @@
                                (setq |a| (CDR |a|))
                                (setq |rtc| NIL)
                                (COND
-                                 ((AND (PAIRP |x|)
+                                 ((AND (CONSP |x|)
                                        (EQ (QCAR |x|) '|SubDomain|)
                                        (PROGN
                                          (setq |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (PROGN
                                             (setq |y|
                                              (QCAR |ISTMP#1|))
@@ -3411,12 +3411,12 @@
                                          (|isEqualOrSubDomain| |x1|
                                           |x|)
                                          (AND (STRINGP |x|)
-                                          (PAIRP |x1|)
+                                          (CONSP |x1|)
                                           (EQ (QCAR |x1|) '|Variable|)
                                           (PROGN
                                             (setq |ISTMP#1|
                                              (QCDR |x1|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCDR |ISTMP#1|) NIL)
                                              (PROGN
                                                (setq |v|
@@ -3431,7 +3431,7 @@
                                             (OR (BOOT-EQUAL |x2| |x|)
                                              (|canCoerceFrom| |x1| |x|)))
                                            (t
-                                            (AND (PAIRP |x1|)
+                                            (AND (CONSP |x1|)
                                              (EQ (QCAR |x1|)
                                               '|Variable|)
                                              (BOOT-EQUAL |x|
@@ -3463,14 +3463,14 @@
             ((|isEqualOrSubDomain| |t2| |t1|) t)
             (t
              (COND
-               ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Union|)
+               ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Union|)
                      (PROGN
                        (setq |ISTMP#1| (QCDR |t2|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (setq |a| (QCAR |ISTMP#1|))
                               (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (setq |b| (QCAR |ISTMP#2|))
@@ -3522,7 +3522,7 @@
 ;    isFreeFunctionFromMm(mm) => bad := cons(mm, bad)
 ;    type := getDomainFromMm mm
 ;    null type => bad := cons(mm,bad)
-;    if PAIRP type then type := first type
+;    if CONSP type then type := first type
 ;    GETDATABASE(type,'CONSTRUCTORKIND) = 'category => bad := cons(mm,bad)
 ;    name := object2String type
 ;    found := nil
@@ -3561,7 +3561,7 @@
                                 (setq |bad| (CONS |mm| |bad|)))
                                (t
                                 (COND
-                                  ((PAIRP |type|)
+                                  ((CONSP |type|)
                                    (setq |type| (CAR |type|))))
                                 (COND
                                   ((BOOT-EQUAL
@@ -3601,8 +3601,108 @@
                                    (setq |bad| (CONS |mm| |bad|)))))))))))))
              (CONS |good| (CONS |bad| NIL)))))))
 
+;isFreeFunctionFromMm mm ==
+;  -- This returns true is the modemap represents a free function, ie,
+;  -- one not coming from a domain or category.
+;  [., cond] := mm
+;  isFreeFunctionFromMmCond cond
+
+(DEFUN |isFreeFunctionFromMm| (|mm|)
+  (PROG (|cond|)
+    (RETURN
+      (PROGN
+        (SPADLET |cond| (CADR |mm|))
+        (|isFreeFunctionFromMmCond| |cond|)))))
+
+;isFreeFunctionFromMmCond cond ==
+;  -- This returns true is the modemap represents a free function, ie,
+;  -- one not coming from a domain or category.
+;  if cond is ['partial, :c] then cond := c
+;  condList :=
+;    cond is ['AND, :cl] => cl
+;    cond is ['OR, ['AND, :cl],:.] => cl  --all cl's should give same info
+;    [cond]
+;  iff := false
+;  for condition in condList while not iff repeat
+;      if condition is ['isFreeFunction, :.] then iff := true
+;  iff
+
+(DEFUN |isFreeFunctionFromMmCond| (|cond|)
+  (PROG (|c| |ISTMP#1| |ISTMP#2| |cl| |condList| |iff|)
+    (RETURN
+      (SEQ (PROGN
+             (COND
+               ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|partial|)
+                     (PROGN (SPADLET |c| (QCDR |cond|)) 'T))
+                (SPADLET |cond| |c|)))
+             (SPADLET |condList|
+                      (COND
+                        ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'AND)
+                              (PROGN (SPADLET |cl| (QCDR |cond|)) 'T))
+                         |cl|)
+                        ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'OR)
+                              (PROGN
+                                (SPADLET |ISTMP#1| (QCDR |cond|))
+                                (AND (CONSP |ISTMP#1|)
+                                     (PROGN
+                                       (SPADLET |ISTMP#2|
+                                        (QCAR |ISTMP#1|))
+                                       (AND (CONSP |ISTMP#2|)
+                                        (EQ (QCAR |ISTMP#2|) 'AND)
+                                        (PROGN
+                                          (SPADLET |cl|
+                                           (QCDR |ISTMP#2|))
+                                          'T))))))
+                         |cl|)
+                        ('T (CONS |cond| NIL))))
+             (SPADLET |iff| NIL)
+             (DO ((G167407 |condList| (CDR G167407))
+                  (|condition| NIL))
+                 ((OR (ATOM G167407)
+                      (PROGN (SETQ |condition| (CAR G167407)) NIL)
+                      (NULL (NULL |iff|)))
+                  NIL)
+               (SEQ (EXIT (COND
+                            ((AND (CONSP |condition|)
+                                  (EQ (QCAR |condition|)
+                                      '|isFreeFunction|))
+                             (SPADLET |iff| 'T))
+                            ('T NIL)))))
+             |iff|)))))
+
+(defun |getDomainFromMm| (mm)
+ (let (c cond condList val)
+  (setq cond (cadr mm))
+  (when (and (consp cond) (eq (qcar cond) '|partial|))
+    (setq cond (qcdr cond)))
+  (setq condList
+   (cond
+    ((and (consp cond) (eq (qcar cond) 'and))
+      (qcdr cond))
+    ((and (consp cond) (eq (qcar cond) 'or)
+          (consp (qcdr cond)) (consp (qcar (qcdr cond)))
+          (eq (qcar (qcar (qcdr cond))) 'and))
+      (qcdr (qcar (qcdr cond))))
+    (t (list cond))))
+  (setq val
+   (dolist (condition condList)
+    (when
+      (and (consp condition) 
+           (or (eq (qcar condition) '|isDomain|)
+               (eq (qcar condition) '|ofCategory|))
+           (consp (qcdr condition))
+           (eq (qcar (qcdr condition)) '*1)
+           (consp (qcdr (qcdr condition)))
+           (eq (qcdr (qcdr (qcdr condition))) nil))
+      (return (|opOf| (caddr condition))))))
+   (cond
+    ((null val)
+     (|keyedSystemError| 'S2GE0016
+      (list "getDomainFromMm" "Can't find domain in modemap condition")))
+    (t val))))
+
 ;isTowerWithSubdomain(towerType,elem) ==
-;  not PAIRP towerType => NIL
+;  not CONSP towerType => NIL
 ;  dt := deconstructT towerType
 ;  2 ^= #dt => NIL
 ;  s := underDomainOf(towerType)
@@ -3610,7 +3710,7 @@
 
 (defun |isTowerWithSubdomain| (towerType elem)
  (let (dt s)
-  (when (pairp towerType)
+  (when (consp towerType)
     (setq dt (|deconstructT| towerType))
     (when (= (|#| dt) 2)
       (setq s (|underDomainOf| towerType))
@@ -3810,15 +3910,15 @@
                   ((AND (BOOT-EQUAL |op| '|map|) (EQL 2 (|#| |args1|))
                         (PROGN
                           (setq |ISTMP#1| (CAR |args1|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCAR |ISTMP#1|) '|Mapping|)
                                (PROGN
                                  (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
+                                 (AND (CONSP |ISTMP#2|)
                                       (PROGN
                                         (setq |ISTMP#3|
                                          (QCDR |ISTMP#2|))
-                                        (AND (PAIRP |ISTMP#3|)
+                                        (AND (CONSP |ISTMP#3|)
                                          (EQ (QCDR |ISTMP#3|) NIL)
                                          (PROGN
                                            (setq |elem|
@@ -4202,7 +4302,7 @@
   (PROG (|a| |mmD| |pvar| |cat| |args| |ISTMP#1| |pat| |ISTMP#2| |x|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) 'AND)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) 'AND)
                    (PROGN (setq |a| (QCDR |mmC|)) t))
               (CONS (PROG (G168213)
                       (setq G168213 NIL)
@@ -4218,7 +4318,7 @@
                                       (NCONC G168213
                                        (|evalMmStackInner| |cond|))))))))
                     NIL))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) 'OR)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) 'OR)
                    (PROGN (setq |args| (QCDR |mmC|)) t))
               (PROG (G168224)
                 (setq G168224 NIL)
@@ -4230,22 +4330,22 @@
                     (SEQ (EXIT (SETQ G168224
                                      (APPEND G168224
                                       (|evalMmStack| |a|)))))))))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|partial|)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|partial|)
                    (PROGN (setq |mmD| (QCDR |mmC|)) t))
               (|evalMmStack| |mmD|))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|ofCategory|)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|ofCategory|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |mmC|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |pvar| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |cat| (QCAR |ISTMP#2|))
                                    t)))))
-                   (PAIRP |cat|) (EQ (QCAR |cat|) '|Join|)
+                   (CONSP |cat|) (EQ (QCAR |cat|) '|Join|)
                    (PROGN (setq |args| (QCDR |cat|)) t))
               (|evalMmStack|
                   (CONS 'AND
@@ -4265,16 +4365,16 @@
                                       (CONS '|ofCategory|
                                        (CONS |pvar| (CONS |c| NIL)))
                                       G168239))))))))))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|ofType|))
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|ofType|))
               (CONS NIL NIL))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|has|)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|has|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |mmC|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |pat| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |x| (QCAR |ISTMP#2|))
@@ -4313,28 +4413,28 @@
   (PROG (|mmD| |pvar| |cat| |args| |ISTMP#1| |pat| |ISTMP#2| |x|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) 'OR)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) 'OR)
                    (PROGN (setq |args| (QCDR |mmC|)) t))
               (|keyedSystemError| 'S2GE0016
                   (CONS  "evalMmStackInner"
                         (CONS  "OR condition nested inside an AND"
                               NIL))))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|partial|)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|partial|)
                    (PROGN (setq |mmD| (QCDR |mmC|)) t))
               (|evalMmStackInner| |mmD|))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|ofCategory|)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|ofCategory|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |mmC|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |pvar| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |cat| (QCAR |ISTMP#2|))
                                    t)))))
-                   (PAIRP |cat|) (EQ (QCAR |cat|) '|Join|)
+                   (CONSP |cat|) (EQ (QCAR |cat|) '|Join|)
                    (PROGN (setq |args| (QCDR |cat|)) t))
               (PROG (G168306)
                 (setq G168306 NIL)
@@ -4348,18 +4448,18 @@
                                       (CONS '|ofCategory|
                                        (CONS |pvar| (CONS |c| NIL)))
                                       G168306))))))))
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|ofType|)) NIL)
-             ((AND (PAIRP |mmC|) (EQ (QCDR |mmC|) NIL)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|ofType|)) NIL)
+             ((AND (CONSP |mmC|) (EQ (QCDR |mmC|) NIL)
                    (EQ (QCAR |mmC|) '|isAsConstant|))
               NIL)
-             ((AND (PAIRP |mmC|) (EQ (QCAR |mmC|) '|has|)
+             ((AND (CONSP |mmC|) (EQ (QCAR |mmC|) '|has|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |mmC|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |pat| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |x| (QCAR |ISTMP#2|))
@@ -4454,7 +4554,7 @@
                                                   ((AND
                                                     (BOOT-EQUAL |t1|
                                                      |$AnonymousFunction|)
-                                                    (PAIRP |t|)
+                                                    (CONSP |t|)
                                                     (EQ (QCAR |t|)
                                                      '|Mapping|))
                                                    |t|)
@@ -4540,13 +4640,13 @@
     (RETURN
       (SEQ (COND
              ((ATOM |t|) |t|)
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|#|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|#|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (setq |l| (QCAR |ISTMP#1|)) t))))
               (|#| |l|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|construct|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|construct|)
                    (PROGN (setq |l| (QCDR |t|)) t))
               (EVAL (CONS 'LIST |l|)))
              (t
@@ -4574,7 +4674,7 @@
   (PROG (|con| |args|)
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (setq |con| (QCAR |t|))
                            (setq |args| (QCDR |t|))
@@ -4616,12 +4716,12 @@
                 |cs2|)
     (RETURN
       (SEQ (COND
-             ((OR (NULL (AND (PAIRP |t1|)
+             ((OR (NULL (AND (CONSP |t1|)
                              (PROGN
                                (setq |con1| (QCAR |t1|))
                                (setq |args1| (QCDR |t1|))
                                t)))
-                  (NULL (AND (PAIRP |t2|)
+                  (NULL (AND (CONSP |t2|)
                              (PROGN
                                (setq |con2| (QCAR |t2|))
                                (setq |args2| (QCDR |t2|))
@@ -4732,17 +4832,17 @@
     (RETURN
       (PROGN
         (COND
-          ((AND (PAIRP |arg1|) (EQ (QCAR |arg1|) '|#|)
+          ((AND (CONSP |arg1|) (EQ (QCAR |arg1|) '|#|)
                 (PROGN
                   (setq |ISTMP#1| (QCDR |arg1|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (setq |l| (QCAR |ISTMP#1|)) t))))
            (setq |arg1| (|#| |l|))))
         (COND
-          ((AND (PAIRP |arg2|) (EQ (QCAR |arg2|) '|#|)
+          ((AND (CONSP |arg2|) (EQ (QCAR |arg2|) '|#|)
                 (PROGN
                   (setq |ISTMP#1| (QCDR |arg2|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (setq |l| (QCAR |ISTMP#1|)) t))))
            (setq |arg2| (|#| |l|))))
         (COND
@@ -4782,16 +4882,16 @@
                       G168609)
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |mmC|)
+                            ((AND (CONSP |mmC|)
                                   (EQ (QCAR |mmC|) '|isDomain|)
                                   (PROGN
                                     (setq |ISTMP#1| (QCDR |mmC|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (setq |v| (QCAR |ISTMP#1|))
                                        (setq |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (setq |d|
@@ -4811,16 +4911,16 @@
                                   (t
                                    (setq SL
                                     (|augmentSub| |v| |d1| SL)))))))
-                            ((AND (PAIRP |mmC|)
+                            ((AND (CONSP |mmC|)
                                   (EQ (QCAR |mmC|) '|isFreeFunction|)
                                   (PROGN
                                     (setq |ISTMP#1| (QCDR |mmC|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (setq |v| (QCAR |ISTMP#1|))
                                        (setq |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (setq |fun|
@@ -5175,10 +5275,10 @@
   (declare (special |$Integer| |$QuotientField|))
     (RETURN
       (COND
-        ((AND (PAIRP |dom|) (EQ (QCAR |dom|) '|FactoredForm|)
+        ((AND (CONSP |dom|) (EQ (QCAR |dom|) '|FactoredForm|)
               (PROGN
                 (setq |ISTMP#1| (QCDR |dom|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (setq |arg| (QCAR |ISTMP#1|)) t))))
          (COND
            ((|isSubDomain| |arg| |$Integer|)
@@ -5194,13 +5294,13 @@
            ((|isSubDomain| |dom| |$Integer|)
             (setq |dom| |$Integer|)))
          (setq |d|
-                  (|eqType| (CONS |$QuotientField| (CONS |dom| NIL))))
+                  (CONS |$QuotientField| (CONS |dom| NIL)))
          (|hasCaty| |dom| '(|IntegralDomain|)
              (|augmentSub| |v| |d| SL)))
-        ((AND (PAIRP |cat|) (EQ (QCAR |cat|) '|PolynomialCategory|)
+        ((AND (CONSP |cat|) (EQ (QCAR |cat|) '|PolynomialCategory|)
               (PROGN
                 (setq |ISTMP#1| (QCDR |cat|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (setq |d| (QCAR |ISTMP#1|)) t))))
          (setq |dom'| (CONS '|Polynomial| (CONS |d| NIL)))
          (AND (OR (|containsVars| |d|) (|canCoerceFrom| |dom| |dom'|))
@@ -5374,31 +5474,31 @@
   (declare (special |$domPvar|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'CATEGORY)
+             ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'CATEGORY)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |cat|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (setq |y| (QCDR |ISTMP#1|)) t))))
               (|hasAttSig| |d| (|subCopy| |y| (|constructSubst| |d|))
                   SL))
-             ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'SIGNATURE)
+             ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'SIGNATURE)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |cat|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |foo| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |sig| (QCAR |ISTMP#2|))
                                    t))))))
               (|hasSig| |d| |foo|
                   (|subCopy| |sig| (|constructSubst| |d|)) SL))
-             ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'ATTRIBUTE)
+             ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'ATTRIBUTE)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |cat|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (setq |a| (QCAR |ISTMP#1|)) t))))
               (|hasAtt| |d| (|subCopy| |a| (|constructSubst| |d|)) SL))
              ((setq |x| (|hasCat| (|opOf| |d|) (|opOf| |cat|)))
@@ -5509,18 +5609,18 @@
                                        (setq |ncond|
                                         (|subCopy| |cond| S))
                                        (COND
-                                         ((AND (PAIRP |ncond|)
+                                         ((AND (CONSP |ncond|)
                                            (EQ (QCAR |ncond|) '|has|)
                                            (PROGN
                                              (setq |ISTMP#1|
                                               (QCDR |ncond|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (EQUAL (QCAR |ISTMP#1|)
                                                |d|)
                                               (PROGN
                                                 (setq |ISTMP#2|
                                                  (QCDR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
+                                                (AND (CONSP |ISTMP#2|)
                                                  (EQ (QCDR |ISTMP#2|)
                                                   NIL)
                                                  (EQUAL
@@ -5535,14 +5635,14 @@
                  (setq |ncond|
                           (|subCopy| |x| (|constructSubst| |d|)))
                  (COND
-                   ((AND (PAIRP |ncond|) (EQ (QCAR |ncond|) '|has|)
+                   ((AND (CONSP |ncond|) (EQ (QCAR |ncond|) '|has|)
                          (PROGN
                            (setq |ISTMP#1| (QCDR |ncond|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQUAL (QCAR |ISTMP#1|) |d|)
                                 (PROGN
                                   (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (EQUAL (QCAR |ISTMP#2|) |cat|))))))
                     '|failed|)
@@ -5616,20 +5716,20 @@
       (SEQ (PROGN
              (setq |$domPvar| NIL)
              (COND
-               ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|has|)
+               ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|has|)
                      (PROGN
                        (setq |ISTMP#1| (QCDR |cond|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (setq |a| (QCAR |ISTMP#1|))
                               (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (setq |b| (QCAR |ISTMP#2|))
                                      t))))))
                 (|hasCate| |a| |b| SL))
-               ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
+               ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'AND)
                      (PROGN (setq |args| (QCDR |cond|)) t))
                 (DO ((G169191 |args| (CDR G169191)) (|x| NIL))
                     ((OR (ATOM G169191)
@@ -5638,18 +5738,18 @@
                      NIL)
                   (SEQ (EXIT (setq S
                                       (COND
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|has|)
                                           (PROGN
                                             (setq |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (PROGN
                                                (setq |a|
                                                 (QCAR |ISTMP#1|))
                                                (setq |ISTMP#2|
                                                 (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
+                                               (AND (CONSP |ISTMP#2|)
                                                 (EQ (QCDR |ISTMP#2|)
                                                  NIL)
                                                 (PROGN
@@ -5657,25 +5757,25 @@
                                                    (QCAR |ISTMP#2|))
                                                   t))))))
                                          (|hasCate| |a| |b| SL))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCDR |x|) NIL)
                                           (PROGN
                                             (setq |ISTMP#1|
                                              (QCAR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCAR |ISTMP#1|)
                                               '|has|)
                                              (PROGN
                                                (setq |ISTMP#2|
                                                 (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
+                                               (AND (CONSP |ISTMP#2|)
                                                 (PROGN
                                                   (setq |a|
                                                    (QCAR |ISTMP#2|))
                                                   (setq |ISTMP#3|
                                                    (QCDR |ISTMP#2|))
                                                   (AND
-                                                   (PAIRP |ISTMP#3|)
+                                                   (CONSP |ISTMP#3|)
                                                    (EQ (QCDR |ISTMP#3|)
                                                     NIL)
                                                    (PROGN
@@ -5685,7 +5785,7 @@
                                          (|hasCate| |a| |b| SL))
                                         (t (|hasCaty1| |x| SL)))))))
                 S)
-               ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
+               ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'OR)
                      (PROGN (setq |args| (QCDR |cond|)) t))
                 (DO ((G169218 |args| (CDR G169218)) (|x| NIL)
                      (G169219 NIL (NULL (BOOT-EQUAL S '|failed|))))
@@ -5695,18 +5795,18 @@
                      NIL)
                   (SEQ (EXIT (setq S
                                       (COND
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|has|)
                                           (PROGN
                                             (setq |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (PROGN
                                                (setq |a|
                                                 (QCAR |ISTMP#1|))
                                                (setq |ISTMP#2|
                                                 (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
+                                               (AND (CONSP |ISTMP#2|)
                                                 (EQ (QCDR |ISTMP#2|)
                                                  NIL)
                                                 (PROGN
@@ -5714,25 +5814,25 @@
                                                    (QCAR |ISTMP#2|))
                                                   t))))))
                                          (|hasCate| |a| |b| (COPY SL)))
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCDR |x|) NIL)
                                           (PROGN
                                             (setq |ISTMP#1|
                                              (QCAR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCAR |ISTMP#1|)
                                               '|has|)
                                              (PROGN
                                                (setq |ISTMP#2|
                                                 (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
+                                               (AND (CONSP |ISTMP#2|)
                                                 (PROGN
                                                   (setq |a|
                                                    (QCAR |ISTMP#2|))
                                                   (setq |ISTMP#3|
                                                    (QCDR |ISTMP#2|))
                                                   (AND
-                                                   (PAIRP |ISTMP#3|)
+                                                   (CONSP |ISTMP#3|)
                                                    (EQ (QCDR |ISTMP#3|)
                                                     NIL)
                                                    (PROGN
@@ -5769,28 +5869,28 @@
                   NIL)
                (SEQ (EXIT (setq SL
                                    (COND
-                                     ((AND (PAIRP |y|)
+                                     ((AND (CONSP |y|)
                                        (EQ (QCAR |y|) 'ATTRIBUTE)
                                        (PROGN
                                          (setq |ISTMP#1| (QCDR |y|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (setq |a|
                                              (QCAR |ISTMP#1|))
                                             t))))
                                       (|hasAtt| |d| |a| SL))
-                                     ((AND (PAIRP |y|)
+                                     ((AND (CONSP |y|)
                                        (EQ (QCAR |y|) 'SIGNATURE)
                                        (PROGN
                                          (setq |ISTMP#1| (QCDR |y|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (PROGN
                                             (setq |foo|
                                              (QCAR |ISTMP#1|))
                                             (setq |ISTMP#2|
                                              (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
+                                            (AND (CONSP |ISTMP#2|)
                                              (EQ (QCDR |ISTMP#2|) NIL)
                                              (PROGN
                                                (setq |s|
@@ -5833,18 +5933,18 @@
                             (setq SA
                                      (COND
                                        ((ATOM |cls|) (COPY SL))
-                                       ((AND (PAIRP |cls|)
+                                       ((AND (CONSP |cls|)
                                          (EQ (QCAR |cls|) '|has|)
                                          (PROGN
                                            (setq |ISTMP#1|
                                             (QCDR |cls|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (setq |a|
                                                (QCAR |ISTMP#1|))
                                               (setq |ISTMP#2|
                                                (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQ (QCDR |ISTMP#2|)
                                                 NIL)
                                                (PROGN
@@ -5896,18 +5996,18 @@
                             (setq SA
                                      (COND
                                        ((ATOM |cls|) (COPY SL))
-                                       ((AND (PAIRP |cls|)
+                                       ((AND (CONSP |cls|)
                                          (EQ (QCAR |cls|) '|has|)
                                          (PROGN
                                            (setq |ISTMP#1|
                                             (QCDR |cls|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (setq |a|
                                                (QCAR |ISTMP#1|))
                                               (setq |ISTMP#2|
                                                (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQ (QCDR |ISTMP#2|)
                                                 NIL)
                                                (PROGN
@@ -5917,13 +6017,13 @@
                                         (|hasCate| (|subCopy| |a| S0)
                                          (|subCopy| |b| S0) (COPY SL)))
                                        ((OR
-                                         (AND (PAIRP |cls|)
+                                         (AND (CONSP |cls|)
                                           (EQ (QCAR |cls|) 'AND)
                                           (PROGN
                                             (setq |andCls|
                                              (QCDR |cls|))
                                             t))
-                                         (AND (PAIRP |cls|)
+                                         (AND (CONSP |cls|)
                                           (EQ (QCAR |cls|) '|and|)
                                           (PROGN
                                             (setq |andCls|
@@ -5999,20 +6099,20 @@
                                   (setq S
                                            (COND
                                              ((ATOM |cond|) (COPY SL))
-                                             ((AND (PAIRP |cond|)
+                                             ((AND (CONSP |cond|)
                                                (EQ (QCAR |cond|)
                                                 '|has|)
                                                (PROGN
                                                  (setq |ISTMP#1|
                                                   (QCDR |cond|))
-                                                 (AND (PAIRP |ISTMP#1|)
+                                                 (AND (CONSP |ISTMP#1|)
                                                   (PROGN
                                                     (setq |a|
                                                      (QCAR |ISTMP#1|))
                                                     (setq |ISTMP#2|
                                                      (QCDR |ISTMP#1|))
                                                     (AND
-                                                     (PAIRP |ISTMP#2|)
+                                                     (CONSP |ISTMP#2|)
                                                      (EQ
                                                       (QCDR |ISTMP#2|)
                                                       NIL)
@@ -6026,13 +6126,13 @@
                                                (|subCopy| |b| S0)
                                                (COPY SL)))
                                              ((OR
-                                               (AND (PAIRP |cond|)
+                                               (AND (CONSP |cond|)
                                                 (EQ (QCAR |cond|) 'AND)
                                                 (PROGN
                                                   (setq |andCls|
                                                    (QCDR |cond|))
                                                   t))
-                                               (AND (PAIRP |cond|)
+                                               (AND (CONSP |cond|)
                                                 (EQ (QCAR |cond|)
                                                  '|and|)
                                                 (PROGN
@@ -6042,13 +6142,13 @@
                                               (|hasSigAnd| |andCls| S0
                                                SL))
                                              ((OR
-                                               (AND (PAIRP |cond|)
+                                               (AND (CONSP |cond|)
                                                 (EQ (QCAR |cond|) 'OR)
                                                 (PROGN
                                                   (setq |orCls|
                                                    (QCDR |cond|))
                                                   t))
-                                               (AND (PAIRP |cond|)
+                                               (AND (CONSP |cond|)
                                                 (EQ (QCAR |cond|)
                                                  '|or|)
                                                 (PROGN
@@ -6080,7 +6180,7 @@
 ;  $domPvar: local := nil
 ;  fun:= CAR dom =>
 ;    atts:= subCopy(GETDATABASE(fun,'ATTRIBUTES),constructSubst dom) =>
-;      PAIRP (u := getInfovec CAR dom) =>
+;      CONSP (u := getInfovec CAR dom) =>
 ;        --UGH! New world has attributes stored as pairs not as lists!!
 ;        for [x,:cond] in atts until not (S='failed) repeat
 ;          S:= unifyStruct(x,att,copy SL)
@@ -6106,7 +6206,7 @@
                             (|subCopy| (GETDATABASE |fun| 'ATTRIBUTES)
                                 (|constructSubst| |dom|)))
                    (COND
-                     ((PAIRP (setq |u| (|getInfovec| (CAR |dom|))))
+                     ((CONSP (setq |u| (|getInfovec| (CAR |dom|))))
                       (DO ((G169518 |atts| (CDR G169518))
                            (G169498 NIL)
                            (G169519 NIL
@@ -6178,7 +6278,7 @@
   (PROG (|y| |l| |ISTMP#1| |a| |ISTMP#2| |b|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'OR)
                    (PROGN (setq |l| (QCDR |cond|)) t))
               (COND
                 ((PROG (G169577)
@@ -6196,7 +6296,7 @@
                                            (|hasCatExpression| |x| SL))
                                           '|failed|))))))))
                  (EXIT |y|))))
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'AND)
                    (PROGN (setq |l| (QCDR |cond|)) t))
               (COND
                 ((PROG (G169591)
@@ -6214,14 +6314,14 @@
                                            (|hasCatExpression| |x| SL))
                                           '|failed|))))))))
                  (EXIT SL))))
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|has|)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|has|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |cond|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |a| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (setq |b| (QCAR |ISTMP#2|))
@@ -6260,25 +6360,25 @@
              ((BOOT-EQUAL |s1| |s2|) SL)
              (t
               (COND
-                ((AND (PAIRP |s1|) (EQ (QCAR |s1|) '|:|)
+                ((AND (CONSP |s1|) (EQ (QCAR |s1|) '|:|)
                       (PROGN
                         (setq |ISTMP#1| (QCDR |s1|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (setq |x| (QCAR |ISTMP#1|))
                                (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL))))))
                  (setq |s1| |x|)))
               (COND
-                ((AND (PAIRP |s2|) (EQ (QCAR |s2|) '|:|)
+                ((AND (CONSP |s2|) (EQ (QCAR |s2|) '|:|)
                       (PROGN
                         (setq |ISTMP#1| (QCDR |s2|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (setq |x| (QCAR |ISTMP#1|))
                                (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL))))))
                  (setq |s2| |x|)))
               (COND
@@ -6478,7 +6578,7 @@
                                    (CONS
                                      "      implemented: local function "
                                     (CONS |imp| NIL))))
-                              ((AND (PAIRP |imp|)
+                              ((AND (CONSP |imp|)
                                     (EQ (QCAR |imp|) 'XLAM))
                                (|sayMSG|
                                    (|concat|
@@ -6556,22 +6656,22 @@
     (RETURN
       (OR (BOOT-EQUAL |d1| |d2|) (|isSubDomain| |d1| |d2|)
           (AND (ATOM |d1|)
-               (OR (AND (PAIRP |d2|) (EQ (QCAR |d2|) '|Variable|)
+               (OR (AND (CONSP |d2|) (EQ (QCAR |d2|) '|Variable|)
                         (PROGN
                           (setq |ISTMP#1| (QCDR |d2|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (EQUAL (QCAR |ISTMP#1|) |d1|))))
-                   (AND (PAIRP |d2|) (EQ (QCDR |d2|) NIL)
+                   (AND (CONSP |d2|) (EQ (QCDR |d2|) NIL)
                         (EQUAL (QCAR |d2|) |d1|))))
           (AND (ATOM |d2|)
-               (OR (AND (PAIRP |d1|) (EQ (QCAR |d1|) '|Variable|)
+               (OR (AND (CONSP |d1|) (EQ (QCAR |d1|) '|Variable|)
                         (PROGN
                           (setq |ISTMP#1| (QCDR |d1|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCDR |ISTMP#1|) NIL)
                                (EQUAL (QCAR |ISTMP#1|) |d2|))))
-                   (AND (PAIRP |d1|) (EQ (QCDR |d1|) NIL)
+                   (AND (CONSP |d1|) (EQ (QCDR |d1|) NIL)
                         (EQUAL (QCAR |d1|) |d2|))))))))
 
 ;defaultTypeForCategory(cat, SL) ==
@@ -6615,7 +6715,7 @@
         (setq |d| (GETDATABASE |c| 'DEFAULTDOMAIN))
         (COND
           (|d| (CONS |d| (CDR |cat|)))
-          ((AND (PAIRP |cat|) (EQ (QCDR |cat|) NIL)
+          ((AND (CONSP |cat|) (EQ (QCDR |cat|) NIL)
                 (PROGN (setq |c| (QCAR |cat|)) t))
            (COND
              ((BOOT-EQUAL |c| '|Field|) |$RationalNumber|)
@@ -6627,11 +6727,11 @@
              ((BOOT-EQUAL |c| '|OrderedSet|) |$Symbol|)
              ((BOOT-EQUAL |c| '|FloatingPointSystem|) '(|Float|))
              (t NIL)))
-          ((AND (PAIRP |cat|)
+          ((AND (CONSP |cat|)
                 (PROGN
                   (setq |c| (QCAR |cat|))
                   (setq |ISTMP#1| (QCDR |cat|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (setq |p1| (QCAR |ISTMP#1|)) t))))
            (COND
              ((BOOT-EQUAL |c| '|FiniteLinearAggregate|)
@@ -6643,69 +6743,69 @@
              ((BOOT-EQUAL |c| '|SegmentCategory|)
               (CONS '|Segment| (CONS |p1| NIL)))
              (t NIL)))
-          ((AND (PAIRP |cat|)
+          ((AND (CONSP |cat|)
                 (PROGN
                   (setq |c| (QCAR |cat|))
                   (setq |ISTMP#1| (QCDR |cat|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (setq |p1| (QCAR |ISTMP#1|))
                          (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (PROGN
                                 (setq |p2| (QCAR |ISTMP#2|))
                                 t))))))
            NIL)
-          ((AND (PAIRP |cat|)
+          ((AND (CONSP |cat|)
                 (PROGN
                   (setq |c| (QCAR |cat|))
                   (setq |ISTMP#1| (QCDR |cat|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (setq |p1| (QCAR |ISTMP#1|))
                          (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (PROGN
                                 (setq |p2| (QCAR |ISTMP#2|))
                                 (setq |ISTMP#3| (QCDR |ISTMP#2|))
-                                (AND (PAIRP |ISTMP#3|)
+                                (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (setq |p3| (QCAR |ISTMP#3|))
                                        t))))))))
            (COND
-             ((AND (PAIRP |cat|) (EQ (QCAR |cat|) '|MatrixCategory|)
+             ((AND (CONSP |cat|) (EQ (QCAR |cat|) '|MatrixCategory|)
                    (PROGN
                      (setq |ISTMP#1| (QCDR |cat|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (setq |d| (QCAR |ISTMP#1|))
                             (setq |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (setq |ISTMP#3| (QCAR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCAR |ISTMP#3|) '|Vector|)
                                     (PROGN
                                       (setq |ISTMP#4|
                                        (QCDR |ISTMP#3|))
-                                      (AND (PAIRP |ISTMP#4|)
+                                      (AND (CONSP |ISTMP#4|)
                                        (EQ (QCDR |ISTMP#4|) NIL)
                                        (EQUAL (QCAR |ISTMP#4|) |d|)))))
                                  (PROGN
                                    (setq |ISTMP#5| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#5|)
+                                   (AND (CONSP |ISTMP#5|)
                                     (EQ (QCDR |ISTMP#5|) NIL)
                                     (PROGN
                                       (setq |ISTMP#6|
                                        (QCAR |ISTMP#5|))
-                                      (AND (PAIRP |ISTMP#6|)
+                                      (AND (CONSP |ISTMP#6|)
                                        (EQ (QCAR |ISTMP#6|) '|Vector|)
                                        (PROGN
                                          (setq |ISTMP#7|
                                           (QCDR |ISTMP#6|))
-                                         (AND (PAIRP |ISTMP#7|)
+                                         (AND (CONSP |ISTMP#7|)
                                           (EQ (QCDR |ISTMP#7|) NIL)
                                         (EQUAL (QCAR |ISTMP#7|) |d|))))))))))))
               (CONS '|Matrix| (CONS |d| NIL)))
diff -Nru axiom-20110301a/src/interp/i-intern.lisp.pamphlet axiom-20111101/src/interp/i-intern.lisp.pamphlet
--- axiom-20110301a/src/interp/i-intern.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-intern.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -171,25 +171,25 @@
     (PROGN
      (COND
       ((AND
-        (NULL (AND (PAIRP |x|) (EQ (QCAR |x|) (QUOTE MDEF))))
+        (NULL (AND (CONSP |x|) (EQ (QCAR |x|) (QUOTE MDEF))))
         (NULL 
-         (AND (PAIRP |x|)
+         (AND (CONSP |x|)
               (EQ (QCAR |x|) (QUOTE DEF))
               (PROGN
                (SPADLET |ISTMP#1| (QCDR |x|))
                (AND
-                (PAIRP |ISTMP#1|)
+                (CONSP |ISTMP#1|)
                 (PROGN
                  (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
                  (AND
-                  (PAIRP |ISTMP#2|)
+                  (CONSP |ISTMP#2|)
                   (EQ (QCAR |ISTMP#2|) (QUOTE |macro|)))))))))
        (COND
         ((AND (ATOM |x|) (SPADLET |m| (|isInterpMacro| |x|)))
          (SPADLET |args| (CAR |m|))
          (SPADLET |body| (CDR |m|))
          (COND (|args| (QUOTE |doNothing|)) ((QUOTE T) (SPADLET |x| |body|))))
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                (SPADLET |op| (QCAR |x|))
                (SPADLET |argl| (QCDR |x|))
@@ -197,12 +197,12 @@
          (COND
           ((BOOT-EQUAL |op| (QUOTE QUOTE)) (QUOTE |doNothing|))
           ((AND (BOOT-EQUAL |op| (QUOTE |where|))
-                (PAIRP |argl|)
+                (CONSP |argl|)
                 (PROGN
                  (SPADLET |before| (QCAR |argl|))
                  (SPADLET |ISTMP#1| (QCDR |argl|))
                  (AND
-                  (PAIRP |ISTMP#1|)
+                  (CONSP |ISTMP#1|)
                   (EQ (QCDR |ISTMP#1|) NIL)
                   (PROGN (SPADLET |after| (QCAR |ISTMP#1|)) (QUOTE T)))))
            (SPADLET |x|
@@ -294,7 +294,7 @@
        (|putValue| |v| (|getBasicObject| |x|)) |v|)
       ((IDENTP |x|) (|mkAtreeNode| |x|))
       ((QUOTE T) (|keyedSystemError| (QUOTE S2II0002) (CONS |x| NIL)))))
-    ((AND (PAIRP |x|)
+    ((AND (CONSP |x|)
           (PROGN
            (SPADLET |op| (QCAR |x|))
            (SPADLET |argl| (QCDR |x|))
@@ -389,12 +389,12 @@
             (INTEGERP (CAR |argl|)))
        (|mkAtree1| (MINUS (CAR |argl|))))
       ((AND (BOOT-EQUAL |op| (QUOTE |:|))
-            (PAIRP |argl|)
+            (CONSP |argl|)
             (PROGN
              (SPADLET |y| (QCAR |argl|))
              (SPADLET |ISTMP#1| (QCDR |argl|))
              (AND
-              (PAIRP |ISTMP#1|)
+              (CONSP |ISTMP#1|)
               (EQ (QCDR |ISTMP#1|) NIL)
               (PROGN (SPADLET |z| (QCAR |ISTMP#1|)) (QUOTE T)))))
        (CONS (|mkAtreeNode| (QUOTE |Declare|)) |argl|))
@@ -402,11 +402,11 @@
        (CONS (|mkAtreeNode| |op|) (|transformCollect| |argl|)))
       ((BOOT-EQUAL |op| (QUOTE |break|))
        (COND
-        ((AND (PAIRP |argl|)
+        ((AND (CONSP |argl|)
               (PROGN
                (SPADLET |ISTMP#1| (QCDR |argl|))
                (AND
-                (PAIRP |ISTMP#1|)
+                (CONSP |ISTMP#1|)
                 (EQ (QCDR |ISTMP#1|) NIL)
                 (PROGN (SPADLET |val| (QCAR |ISTMP#1|)) (QUOTE T)))))
          (COND
@@ -419,7 +419,7 @@
           (CONS (|mkAtree1| (QUOTE (|void|))) NIL)))))
       ((BOOT-EQUAL |op| (QUOTE |return|))
        (COND
-        ((AND (PAIRP |argl|)
+        ((AND (CONSP |argl|)
               (EQ (QCDR |argl|) NIL)
               (PROGN (SPADLET |val| (QCAR |argl|)) (QUOTE T)))
          (COND
@@ -434,7 +434,7 @@
       ((BOOT-EQUAL |op| (QUOTE QUOTE)) (CONS (|mkAtreeNode| |op|) |argl|))
       ((BOOT-EQUAL |op| (QUOTE SEGMENT))
        (COND
-        ((AND (PAIRP |argl|)
+        ((AND (CONSP |argl|)
               (EQ (QCDR |argl|) NIL)
               (PROGN (SPADLET |a| (QCAR |argl|)) (QUOTE T)))
          (CONS (|mkAtreeNode| |op|) (CONS (|mkAtree1| |a|) NIL)))
@@ -454,38 +454,38 @@
        (CONS
         (|mkAtreeNode| (QUOTE COERCE))
         (CONS (|mkAtree1| (CAR |argl|)) (CONS (CADR |argl|) NIL))))
-      ((AND (PAIRP |x|)
+      ((AND (CONSP |x|)
             (EQ (QCAR |x|) (QUOTE @))
             (PROGN
              (SPADLET |ISTMP#1| (QCDR |x|))
              (AND
-              (PAIRP |ISTMP#1|)
+              (CONSP |ISTMP#1|)
               (PROGN
                (SPADLET |expr| (QCAR |ISTMP#1|))
                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                (AND
-                (PAIRP |ISTMP#2|)
+                (CONSP |ISTMP#2|)
                 (EQ (QCDR |ISTMP#2|) NIL)
                 (PROGN (SPADLET |type| (QCAR |ISTMP#2|)) (QUOTE T)))))))
        (SPADLET |t| (|evaluateType| (|unabbrev| |type|)))
        (COND
         ((AND
           (BOOT-EQUAL |t| (QUOTE (|DoubleFloat|)))
-          (PAIRP |expr|)
+          (CONSP |expr|)
           (PROGN
            (SPADLET |ISTMP#1| (QCAR |expr|))
            (AND
-            (PAIRP |ISTMP#1|)
+            (CONSP |ISTMP#1|)
             (EQ (QCAR |ISTMP#1|) (QUOTE |$elt|))
             (PROGN
              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
              (AND
-              (PAIRP |ISTMP#2|)
+              (CONSP |ISTMP#2|)
               (EQUAL (QCAR |ISTMP#2|) (QUOTE (|Float|)))
               (PROGN
                (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                (AND
-                (PAIRP |ISTMP#3|)
+                (CONSP |ISTMP#3|)
                 (EQ (QCDR |ISTMP#3|) NIL)
                 (EQ (QCAR |ISTMP#3|) (QUOTE |float|))))))))
           (PROGN (SPADLET |args| (QCDR |expr|)) (QUOTE T)))
@@ -517,13 +517,13 @@
        (CONS (|mkAtreeNode| |op|) (|transformREPEAT| |argl|)))
       ((AND
         (BOOT-EQUAL |op| (QUOTE LET))
-        (PAIRP |argl|)
+        (CONSP |argl|)
         (PROGN
          (SPADLET |ISTMP#1| (QCAR |argl|))
-         (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE |construct|))))
+         (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE |construct|))))
         (PROGN
          (SPADLET |ISTMP#2| (QCDR |argl|))
-         (AND (PAIRP |ISTMP#2|)
+         (AND (CONSP |ISTMP#2|)
               (EQ (QCDR |ISTMP#2|) NIL)
               (PROGN (SPADLET |rhs| (QCAR |ISTMP#2|)) (QUOTE T)))))
        (CONS
@@ -531,24 +531,24 @@
         (CONS (CAR |argl|) (CONS (|mkAtree1| |rhs|) NIL))))
       ((AND
         (BOOT-EQUAL |op| (QUOTE LET))
-        (PAIRP |argl|)
+        (CONSP |argl|)
         (PROGN
          (SPADLET |ISTMP#1| (QCAR |argl|))
          (AND
-          (PAIRP |ISTMP#1|)
+          (CONSP |ISTMP#1|)
           (EQ (QCAR |ISTMP#1|) (QUOTE |:|))
           (PROGN
            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
            (AND
-            (PAIRP |ISTMP#2|)
+            (CONSP |ISTMP#2|)
             (PROGN
              (SPADLET |a| (QCAR |ISTMP#2|))
              (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-             (AND (PAIRP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL)))))))
+             (AND (CONSP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL)))))))
         (PROGN
          (SPADLET |ISTMP#4| (QCDR |argl|))
          (AND
-          (PAIRP |ISTMP#4|)
+          (CONSP |ISTMP#4|)
           (EQ (QCDR |ISTMP#4|) NIL)
           (PROGN (SPADLET |rhs| (QCAR |ISTMP#4|)) (QUOTE T)))))
         (|mkAtree1|
@@ -557,17 +557,17 @@
           (CONS
            (CAR |argl|)
            (CONS (CONS (QUOTE LET) (CONS |a| (CONS |rhs| NIL))) NIL)))))
-      ((AND (PAIRP |op|)
+      ((AND (CONSP |op|)
             (EQ (QCAR |op|) (QUOTE |$elt|))
             (PROGN
              (SPADLET |ISTMP#1| (QCDR |op|))
              (AND
-              (PAIRP |ISTMP#1|)
+              (CONSP |ISTMP#1|)
               (PROGN
                (SPADLET D (QCAR |ISTMP#1|))
                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                (AND
-                (PAIRP |ISTMP#2|)
+                (CONSP |ISTMP#2|)
                 (EQ (QCDR |ISTMP#2|) NIL)
                 (PROGN (SPADLET |op1| (QCAR |ISTMP#2|)) (QUOTE T)))))))
        (COND
@@ -589,12 +589,12 @@
           (CONS D (CONS (|mkAtree1| (CONS |op1| |argl|)) NIL))))))
       ((BOOT-EQUAL |op| (QUOTE |$elt|))
        (COND
-        ((AND (PAIRP |argl|)
+        ((AND (CONSP |argl|)
               (PROGN
                (SPADLET D (QCAR |argl|))
                (SPADLET |ISTMP#1| (QCDR |argl|))
                (AND
-                (PAIRP |ISTMP#1|)
+                (CONSP |ISTMP#1|)
                 (EQ (QCDR |ISTMP#1|) NIL)
                 (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) (QUOTE T)))))
          (COND
@@ -676,7 +676,7 @@
 ;    r := mkAtreeValueOf r
 ;    v :=
 ;      null arg => VECTOR(NIL,NIL,NIL)
-;      PAIRP arg and rest arg and first arg^= "|" =>
+;      CONSP arg and rest arg and first arg^= "|" =>
 ;        collectDefTypesAndPreds ['Tuple,:arg]
 ;      null rest arg => collectDefTypesAndPreds first arg
 ;      collectDefTypesAndPreds arg
@@ -698,7 +698,7 @@
 ;    a is [op,:arg] =>
 ;      v :=
 ;        null arg => VECTOR(NIL,NIL,NIL)
-;        PAIRP arg and rest arg and first arg^= "|" =>
+;        CONSP arg and rest arg and first arg^= "|" =>
 ;          collectDefTypesAndPreds ['Tuple,:arg]
 ;        null rest arg => collectDefTypesAndPreds first arg
 ;        collectDefTypesAndPreds arg
@@ -745,17 +745,17 @@
    (SEQ
     (COND
      ((AND (BOOT-EQUAL |op| (QUOTE REDUCE))
-           (PAIRP |argl|)
+           (CONSP |argl|)
            (PROGN
             (SPADLET |op1| (QCAR |argl|))
             (SPADLET |ISTMP#1| (QCDR |argl|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |axis| (QCAR |ISTMP#1|))
               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (EQ (QCDR |ISTMP#2|) NIL)
                (PROGN (SPADLET |body| (QCAR |ISTMP#2|)) (QUOTE T)))))))
       (CONS
@@ -783,22 +783,22 @@
                (NREVERSE0 #2#))
           (SEQ (EXIT (SETQ #2# (CONS (|mkAtree1| |arg|) #2#)))))))))
      ((AND (BOOT-EQUAL |op| (QUOTE |not|))
-           (PAIRP |argl|)
+           (CONSP |argl|)
            (EQ (QCDR |argl|) NIL)
            (PROGN
             (SPADLET |ISTMP#1| (QCAR |argl|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (EQ (QCAR |ISTMP#1|) (QUOTE =))
              (PROGN
               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (PROGN
                 (SPADLET |lhs| (QCAR |ISTMP#2|))
                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                 (AND
-                 (PAIRP |ISTMP#3|)
+                 (CONSP |ISTMP#3|)
                  (EQ (QCDR |ISTMP#3|) NIL)
                  (PROGN (SPADLET |rhs| (QCAR |ISTMP#3|)) (QUOTE T)))))))))
       (CONS
@@ -809,27 +809,27 @@
          (CONS (|mkAtree1| |lhs|) (CONS (|mkAtree1| |rhs|) NIL)))
         NIL)))
      ((AND (BOOT-EQUAL |op| (QUOTE |in|))
-           (PAIRP |argl|)
+           (CONSP |argl|)
            (PROGN
             (SPADLET |var| (QCAR |argl|))
             (SPADLET |ISTMP#1| (QCDR |argl|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (EQ (QCDR |ISTMP#1|) NIL)
              (PROGN
               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (EQ (QCAR |ISTMP#2|) (QUOTE SEGMENT))
                (PROGN
                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                 (AND
-                 (PAIRP |ISTMP#3|)
+                 (CONSP |ISTMP#3|)
                  (PROGN
                   (SPADLET |lb| (QCAR |ISTMP#3|))
                   (SPADLET |ISTMP#4| (QCDR |ISTMP#3|))
                   (AND
-                   (PAIRP |ISTMP#4|)
+                   (CONSP |ISTMP#4|)
                    (EQ (QCDR |ISTMP#4|) NIL)
                    (PROGN (SPADLET |ul| (QCAR |ISTMP#4|)) (QUOTE T)))))))))))
        (SPADLET |upTest|
@@ -842,22 +842,22 @@
          (|ul| (CONS (QUOTE |and|) (CONS |lowTest| (CONS |upTest| NIL))))
          ((QUOTE T) |lowTest|)))
        (|mkAtree1| |z|))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE IF))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |p| (QCAR |ISTMP#1|))
               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (EQ (QCAR |ISTMP#2|) (QUOTE |noBranch|))
                (PROGN
                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                 (AND
-                 (PAIRP |ISTMP#3|)
+                 (CONSP |ISTMP#3|)
                  (EQ (QCDR |ISTMP#3|) NIL)
                  (PROGN (SPADLET |a| (QCAR |ISTMP#3|)) (QUOTE T)))))))))
       (|mkAtree1|
@@ -865,29 +865,29 @@
         (CONS
          (CONS (QUOTE |not|) (CONS |p| NIL))
          (CONS |a| (CONS (QUOTE |noBranch|) NIL))))))
-     ((AND (PAIRP |x|) (EQ (QCAR |x|) (QUOTE RULEDEF)))
+     ((AND (CONSP |x|) (EQ (QCAR |x|) (QUOTE RULEDEF)))
       (CONS (|mkAtreeNode| (QUOTE RULEDEF)) (CDR |x|)))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE MDEF))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |sym| (QCAR |ISTMP#1|))
               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (PROGN
                 (SPADLET |junk1| (QCAR |ISTMP#2|))
                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                 (AND
-                 (PAIRP |ISTMP#3|)
+                 (CONSP |ISTMP#3|)
                  (PROGN
                   (SPADLET |junk2| (QCAR |ISTMP#3|))
                   (SPADLET |ISTMP#4| (QCDR |ISTMP#3|))
                   (AND
-                   (PAIRP |ISTMP#4|)
+                   (CONSP |ISTMP#4|)
                    (EQ (QCDR |ISTMP#4|) NIL)
                    (PROGN (SPADLET |val| (QCAR |ISTMP#4|)) (QUOTE T)))))))))))
       (|mkAtree1|
@@ -895,45 +895,45 @@
         (CONS
          (CONS (QUOTE |macro|) (CONS |sym| NIL))
          (CONS |junk1| (CONS |junk2| (CONS |val| NIL)))))))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE ~=))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |a| (QCAR |ISTMP#1|))
               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (EQ (QCDR |ISTMP#2|) NIL)
                (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) (QUOTE T)))))))
       (|mkAtree1|
        (CONS (QUOTE |not|)
         (CONS (CONS (QUOTE =) (CONS |a| (CONS |b| NIL))) NIL))))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE +->))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
-            (AND (PAIRP |ISTMP#1|)
+            (AND (CONSP |ISTMP#1|)
                  (PROGN
                   (SPADLET |funargs| (QCAR |ISTMP#1|))
                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                   (AND
-                   (PAIRP |ISTMP#2|)
+                   (CONSP |ISTMP#2|)
                    (EQ (QCDR |ISTMP#2|) NIL)
                    (PROGN (SPADLET |funbody| (QCAR |ISTMP#2|)) (QUOTE T)))))))
        (COND
-        ((AND (PAIRP |funbody|)
+        ((AND (CONSP |funbody|)
               (EQ (QCAR |funbody|) (QUOTE |:|))
               (PROGN
                (SPADLET |ISTMP#1| (QCDR |funbody|))
-               (AND (PAIRP |ISTMP#1|)
+               (AND (CONSP |ISTMP#1|)
                     (PROGN
                      (SPADLET |body| (QCAR |ISTMP#1|))
                      (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                      (AND
-                      (PAIRP |ISTMP#2|)
+                      (CONSP |ISTMP#2|)
                       (EQ (QCDR |ISTMP#2|) NIL)
                       (PROGN (SPADLET |type| (QCAR |ISTMP#2|)) (QUOTE T)))))))
          (SPADLET |types| (CONS |type| NIL)) (SPADLET |funbody| |body|))
@@ -958,11 +958,11 @@
          (CONS
           (COND ((ELT |v| 2) (ELT |v| 2)) ((QUOTE T) (QUOTE T)))
           (CONS NIL NIL)))))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE ADEF))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
-            (AND (PAIRP |ISTMP#1|)
+            (AND (CONSP |ISTMP#1|)
                  (PROGN
                   (SPADLET |arg| (QCAR |ISTMP#1|))
                   (SPADLET |r| (QCDR |ISTMP#1|))
@@ -971,7 +971,7 @@
       (SPADLET |v|
        (COND
         ((NULL |arg|) (VECTOR NIL NIL NIL))
-        ((AND (PAIRP |arg|) (CDR |arg|) (NEQUAL (CAR |arg|) (QUOTE |\||)))
+        ((AND (CONSP |arg|) (CDR |arg|) (NEQUAL (CAR |arg|) (QUOTE |\||)))
          (|collectDefTypesAndPreds| (CONS (QUOTE |Tuple|) |arg|)))
         ((NULL (CDR |arg|)) (|collectDefTypesAndPreds| (CAR |arg|)))
         ((QUOTE T) (|collectDefTypesAndPreds| |arg|))))
@@ -999,67 +999,67 @@
         (CONS
          (COND ((ELT |v| 2) (ELT |v| 2)) ((QUOTE T) (QUOTE T)))
          (CONS NIL NIL)))))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE |where|))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |before| (QCAR |ISTMP#1|))
               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (EQ (QCDR |ISTMP#2|) NIL)
                (PROGN (SPADLET |after| (QCAR |ISTMP#2|)) (QUOTE T)))))))
       (CONS
        (|mkAtreeNode| (QUOTE |where|))
        (CONS |before| (CONS (|mkAtree1| |after|) NIL))))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE DEF))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#2|)
+               (CONSP |ISTMP#2|)
                (EQ (QCAR |ISTMP#2|) (QUOTE |macro|))
                (PROGN
                 (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
                 (AND
-                 (PAIRP |ISTMP#3|)
+                 (CONSP |ISTMP#3|)
                  (EQ (QCDR |ISTMP#3|) NIL)
                  (PROGN (SPADLET |form| (QCAR |ISTMP#3|)) (QUOTE T))))))
              (PROGN
               (SPADLET |ISTMP#4| (QCDR |ISTMP#1|))
               (AND
-               (PAIRP |ISTMP#4|)
+               (CONSP |ISTMP#4|)
                (PROGN
                 (SPADLET |ISTMP#5| (QCDR |ISTMP#4|))
                 (AND
-                 (PAIRP |ISTMP#5|)
+                 (CONSP |ISTMP#5|)
                  (PROGN
                   (SPADLET |ISTMP#6| (QCDR |ISTMP#5|))
                   (AND
-                   (PAIRP |ISTMP#6|)
+                   (CONSP |ISTMP#6|)
                    (EQ (QCDR |ISTMP#6|) NIL)
                    (PROGN (SPADLET |body| (QCAR |ISTMP#6|)) (QUOTE T)))))))))))
       (CONS (|mkAtreeNode| (QUOTE MDEF)) (CONS |form| (CONS |body| NIL))))
-     ((AND (PAIRP |x|)
+     ((AND (CONSP |x|)
            (EQ (QCAR |x|) (QUOTE DEF))
            (PROGN
             (SPADLET |ISTMP#1| (QCDR |x|))
             (AND
-             (PAIRP |ISTMP#1|)
+             (CONSP |ISTMP#1|)
              (PROGN
               (SPADLET |a| (QCAR |ISTMP#1|))
               (SPADLET |r| (QCDR |ISTMP#1|))
               (QUOTE T)))))
       (SPADLET |r| (|mkAtreeValueOf| |r|))
       (COND
-       ((AND (PAIRP |a|)
+       ((AND (CONSP |a|)
              (PROGN
               (SPADLET |op| (QCAR |a|))
               (SPADLET |arg| (QCDR |a|))
@@ -1067,7 +1067,7 @@
         (SPADLET |v|
          (COND
           ((NULL |arg|) (VECTOR NIL NIL NIL))
-          ((AND (PAIRP |arg|) (CDR |arg|) (NEQUAL (CAR |arg|) (QUOTE |\||)))
+          ((AND (CONSP |arg|) (CDR |arg|) (NEQUAL (CAR |arg|) (QUOTE |\||)))
            (|collectDefTypesAndPreds| (CONS (QUOTE |Tuple|) |arg|)))
           ((NULL (CDR |arg|)) (|collectDefTypesAndPreds| (CAR |arg|)))
           ((QUOTE T) (|collectDefTypesAndPreds| |arg|))))
@@ -1181,69 +1181,69 @@
        ((IDENTP |args|)
         (SPADLET |types| (CONS NIL NIL))
         (SPADLET |vars| (CONS |args| NIL)))
-       ((AND (PAIRP |args|)
+       ((AND (CONSP |args|)
              (EQ (QCAR |args|) (QUOTE |:|))
              (PROGN
               (SPADLET |ISTMP#1| (QCDR |args|))
               (AND
-               (PAIRP |ISTMP#1|)
+               (CONSP |ISTMP#1|)
                (PROGN
                 (SPADLET |var| (QCAR |ISTMP#1|))
                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                 (AND
-                 (PAIRP |ISTMP#2|)
+                 (CONSP |ISTMP#2|)
                  (EQ (QCDR |ISTMP#2|) NIL)
                  (PROGN (SPADLET |type| (QCAR |ISTMP#2|)) (QUOTE T)))))))
         (SPADLET |types| (CONS |type| NIL))
         (COND
-         ((AND (PAIRP |var|)
+         ((AND (CONSP |var|)
                (EQ (QCAR |var|) (QUOTE |\||))
                (PROGN
                 (SPADLET |ISTMP#1| (QCDR |var|))
                 (AND
-                 (PAIRP |ISTMP#1|)
+                 (CONSP |ISTMP#1|)
                  (PROGN
                   (SPADLET |var'| (QCAR |ISTMP#1|))
                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                   (AND
-                   (PAIRP |ISTMP#2|)
+                   (CONSP |ISTMP#2|)
                    (EQ (QCDR |ISTMP#2|) NIL)
                    (PROGN (SPADLET |p| (QCAR |ISTMP#2|)) (QUOTE T)))))))
           (SPADLET |vars| (CONS |var'| NIL))
           (SPADLET |pred| (|collectDefTypesAndPreds,addPred| |pred| |p|)))
          ((QUOTE T) (SPADLET |vars| (CONS |var| NIL)))))
-       ((AND (PAIRP |args|)
+       ((AND (CONSP |args|)
              (EQ (QCAR |args|) (QUOTE |\||))
              (PROGN
               (SPADLET |ISTMP#1| (QCDR |args|))
               (AND
-               (PAIRP |ISTMP#1|)
+               (CONSP |ISTMP#1|)
                (PROGN
                 (SPADLET |var| (QCAR |ISTMP#1|))
                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                 (AND
-                 (PAIRP |ISTMP#2|)
+                 (CONSP |ISTMP#2|)
                  (EQ (QCDR |ISTMP#2|) NIL)
                  (PROGN (SPADLET |p| (QCAR |ISTMP#2|)) (QUOTE T)))))))
         (SPADLET |pred| (|collectDefTypesAndPreds,addPred| |pred| |p|))
         (COND
-         ((AND (PAIRP |var|)
+         ((AND (CONSP |var|)
                (EQ (QCAR |var|) (QUOTE |:|))
                (PROGN
                 (SPADLET |ISTMP#1| (QCDR |var|))
                 (AND
-                 (PAIRP |ISTMP#1|)
+                 (CONSP |ISTMP#1|)
                  (PROGN
                   (SPADLET |var'| (QCAR |ISTMP#1|))
                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
                   (AND
-                   (PAIRP |ISTMP#2|)
+                   (CONSP |ISTMP#2|)
                    (EQ (QCDR |ISTMP#2|) NIL)
                    (PROGN (SPADLET |type| (QCAR |ISTMP#2|)) (QUOTE T)))))))
           (SPADLET |types| (CONS |type| NIL))
           (SPADLET |vars| (CONS |var'| NIL)))
-         ((OR (AND (PAIRP |var|) (EQ (QCAR |var|) (QUOTE |Tuple|)))
-              (AND (PAIRP |var|) (EQ (QCAR |var|) (QUOTE |\||))))
+         ((OR (AND (CONSP |var|) (EQ (QCAR |var|) (QUOTE |Tuple|)))
+              (AND (CONSP |var|) (EQ (QCAR |var|) (QUOTE |\||))))
           (SPADLET |v| (|collectDefTypesAndPreds| |var|))
           (SPADLET |vars| (APPEND |vars| (ELT |v| 0)))
           (SPADLET |types| (APPEND |types| (ELT |v| 1)))
@@ -1252,7 +1252,7 @@
          ((QUOTE T)
           (SPADLET |vars| (CONS |var| NIL))
           (SPADLET |types| (CONS NIL NIL)))))
-       ((AND (PAIRP |args|)
+       ((AND (CONSP |args|)
              (EQ (QCAR |args|) (QUOTE |Tuple|))
              (PROGN (SPADLET |args'| (QCDR |args|)) (QUOTE T)))
         (DO ((#0=#:G166967 |args'| (CDR #0#)) (|a| NIL))
@@ -1303,12 +1303,12 @@
     (COND
      ((OR (NULL |l|) (ATOM |l|) (NULL (CDR |l|))) |l|)
      ((AND
-       (PAIRP |l|)
+       (CONSP |l|)
        (EQ (QCAR |l|) (QUOTE |valueOf|))
        (PROGN
         (SPADLET |ISTMP#1| (QCDR |l|))
         (AND
-         (PAIRP |ISTMP#1|)
+         (CONSP |ISTMP#1|)
          (EQ (QCDR |ISTMP#1|) NIL)
          (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) (QUOTE T))))
        (IDENTP |u|))
@@ -1394,7 +1394,7 @@
       ((QUOTE T) (|objValUnwrap| (|getValue| |body|)))))
     ((ATOM |body|) |body|)
     ((AND
-      (PAIRP |body|)
+      (CONSP |body|)
       (PROGN
        (SPADLET |op| (QCAR |body|))
        (SPADLET |argl| (QCDR |body|))
@@ -1432,7 +1432,7 @@
  (PROG (|op| |n|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (COND ((VECP |op|) (|putAtree| |op| |prop| |val|))) |x|)
     ((NULL (VECP |x|)) |x|)
     ((SPADLET |n|
@@ -1459,7 +1459,7 @@
  (PROG (|op| |n|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (COND ((VECP |op|) (|getAtree| |op| |prop|)) ((QUOTE T) NIL)))
     ((NULL (VECP |x|)) NIL)
     ((SPADLET |n|
@@ -1582,7 +1582,7 @@
  (PROG (|op| |m|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|getMode| |op|))
     ((VECP |x|) (ELT |x| 1))
     ((SPADLET |m| (|getBasicMode| |x|)) |m|)
@@ -1600,7 +1600,7 @@
  (PROG (|op|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|putMode| |op| |y|))
     ((NULL (VECP |x|)) (|keyedSystemError| (QUOTE S2II0001) (CONS |x| NIL)))
     ((QUOTE T) (SETELT |x| 1 |y|)))))) 
@@ -1638,7 +1638,7 @@
  (PROG (|op|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|putValue| |op| |y|))
     ((NULL (VECP |x|)) (|keyedSystemError| (QUOTE S2II0001) (CONS |x| NIL)))
     ((QUOTE T) (SETELT |x| 2 |y|)))))) 
@@ -1666,7 +1666,7 @@
   (RETURN
    (COND
     ((VECP |x|) (ELT |x| 0))
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|getUnnameIfCan| |op|))
     ((ATOM |x|) |x|) ((QUOTE T) NIL))))) 
 
@@ -1681,7 +1681,7 @@
  (PROG (|op|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|getUnname| |op|))
     ((QUOTE T) (|getUnname1| |x|)))))) 
 
@@ -1713,7 +1713,7 @@
     ((PROGN
       (SPADLET |ISTMP#1| (|getModeSet| |t|))
       (AND
-       (PAIRP |ISTMP#1|)
+       (CONSP |ISTMP#1|)
        (EQ (QCDR |ISTMP#1|) NIL)
        (PROGN (SPADLET |m| (QCAR |ISTMP#1|)) (QUOTE T))))
      |m|)
@@ -1734,7 +1734,7 @@
  (PROG (|op|)
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|putModeSet| |op| |y|))
     ((NULL (VECP |x|)) (|keyedSystemError| (QUOTE S2II0001) (CONS |x| NIL)))
     ((QUOTE T) (SETELT |x| 3 |y|) |y|))))) 
@@ -1759,7 +1759,7 @@
  (declare (special |$EmptyMode|))
   (RETURN
    (COND
-    ((AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
+    ((AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) (QUOTE T)))
      (|getModeOrFirstModeSetIfThere| |op|))
     ((VECP |x|)
      (COND
@@ -1770,7 +1770,7 @@
         ((AND (BOOT-EQUAL |y| (CONS |$EmptyMode| NIL))
               (PROGN
                (SPADLET |ISTMP#1| (SPADLET |m| (|getMode| |x|)))
-               (AND (PAIRP |ISTMP#1|)
+               (AND (CONSP |ISTMP#1|)
                     (EQ (QCAR |ISTMP#1|) (QUOTE |Mapping|)))))
          |m|)
         ((QUOTE T) (CAR |y|))))
@@ -1781,7 +1781,7 @@
 \subsection{getModeSet}
 \begin{chunk}{*}
 ;getModeSet x ==
-;  x and PAIRP x => getModeSet first x
+;  x and CONSP x => getModeSet first x
 ;  VECP x =>
 ;    y:= x.aModeSet =>
 ;      (y = [$EmptyMode]) and ((m := getMode x) is ['Mapping,:.]) =>
@@ -1798,7 +1798,7 @@
  (declare (special |$EmptyMode|))
   (RETURN
    (COND
-    ((AND |x| (PAIRP |x|)) (|getModeSet| (CAR |x|)))
+    ((AND |x| (CONSP |x|)) (|getModeSet| (CAR |x|)))
     ((VECP |x|)
      (COND
       ((SPADLET |y| (ELT |x| 3))
@@ -1807,7 +1807,7 @@
               (PROGN
                (SPADLET |ISTMP#1| (SPADLET |m| (|getMode| |x|)))
                (AND
-                (PAIRP |ISTMP#1|)
+                (CONSP |ISTMP#1|)
                 (EQ (QCAR |ISTMP#1|) (QUOTE |Mapping|)))))
          (CONS |m| NIL))
         ((QUOTE T) |y|)))
@@ -1824,7 +1824,7 @@
 \subsection{getModeSetUseSubdomain}
 \begin{chunk}{*}
 ;getModeSetUseSubdomain x ==
-;  x and PAIRP x => getModeSetUseSubdomain first x
+;  x and CONSP x => getModeSetUseSubdomain first x
 ;  VECP(x) =>
 ;    -- don't play subdomain games with retracted args
 ;    getAtree(x,'retracted) => getModeSet x
@@ -1855,7 +1855,7 @@
  (declare (special |$Integer| |$immediateDataSymbol| |$EmptyMode|))
   (RETURN
    (COND
-    ((AND |x| (PAIRP |x|)) (|getModeSetUseSubdomain| (CAR |x|)))
+    ((AND |x| (CONSP |x|)) (|getModeSetUseSubdomain| (CAR |x|)))
     ((VECP |x|)
      (COND
       ((|getAtree| |x| (QUOTE |retracted|)) (|getModeSet| |x|))
@@ -1865,7 +1865,7 @@
           (BOOT-EQUAL |y| (CONS |$EmptyMode| NIL))
           (PROGN
            (SPADLET |ISTMP#1| (SPADLET |m| (|getMode| |x|)))
-           (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE |Mapping|)))))
+           (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE |Mapping|)))))
          (CONS |m| NIL))
         ((QUOTE T)
          (SPADLET |val| (|getValue| |x|))
@@ -1964,7 +1964,7 @@
 \subsection{getValueFromSpecificEnvironment}
 \begin{chunk}{*}
 ;getValueFromSpecificEnvironment(id,mode,e) ==
-;  PAIRP e =>
+;  CONSP e =>
 ;    u := get(id,'value,e) =>
 ;      objMode(u) = $EmptyMode =>
 ;        systemErrorHere '"getValueFromSpecificEnvironment"
@@ -1993,7 +1993,7 @@
  (declare (special |$failure| |$EmptyMode|))
   (RETURN
    (COND
-    ((PAIRP |e|)
+    ((CONSP |e|)
      (COND
       ((SPADLET |u| (|get| |id| (QUOTE |value|) |e|))
        (COND
@@ -2004,11 +2004,11 @@
          (COND
           ((NULL
             (AND
-             (PAIRP |mode|)
+             (CONSP |mode|)
              (EQ (QCAR |mode|) (QUOTE |Mapping|))
              (PROGN (SPADLET |mapSig| (QCDR |mode|)) (QUOTE T))))
            |v|)
-          ((NULL (AND (PAIRP |v|) (EQ (QCAR |v|) (QUOTE MAP)))) |v|)
+          ((NULL (AND (CONSP |v|) (EQ (QCAR |v|) (QUOTE MAP)))) |v|)
           ((QUOTE T)
            (SPADLET |v'| (|coerceInt| |u| |mode|)) 
            (COND
diff -Nru axiom-20110301a/src/interp/i-map.lisp.pamphlet axiom-20111101/src/interp/i-map.lisp.pamphlet
--- axiom-20110301a/src/interp/i-map.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-map.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -120,7 +120,7 @@
 ;--% Adding a function definition
 ;isMapExpr x == x is ['MAP,:.]
 
-(DEFUN |isMapExpr| (|x|) (AND (PAIRP |x|) (EQ (QCAR |x|) 'MAP)))
+(DEFUN |isMapExpr| (|x|) (AND (CONSP |x|) (EQ (QCAR |x|) 'MAP)))
 
 ;isMap x ==
 ;  y := get(x,'value,$InteractiveFrame) =>
@@ -135,7 +135,7 @@
               (EXIT (COND
                       ((PROGN
                          (SPADLET |ISTMP#1| (|objVal| |y|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) 'MAP)))
                        (EXIT |x|))))))))))
 
@@ -144,7 +144,7 @@
 ;  --   compute the dependencies for a map
 ;  -- next check is for bad forms on the lhs of the ==, such as
 ;  -- numbers, constants.
-;  if not PAIRP lhs then
+;  if not CONSP lhs then
 ;    op := lhs
 ;    putHist(op,'isInterpreterRule,true,$e)
 ;    putHist(op,'isInterpreterFunction,false,$e)
@@ -223,14 +223,14 @@
              (SPADLET |mapsig| (CADDR G166106))
              (SPADLET |rhs| (CAR (CDDDDR G166106)))
              (COND
-               ((NULL (PAIRP |lhs|)) (SPADLET |op| |lhs|)
+               ((NULL (CONSP |lhs|)) (SPADLET |op| |lhs|)
                 (|putHist| |op| '|isInterpreterRule| 'T |$e|)
                 (|putHist| |op| '|isInterpreterFunction| NIL |$e|)
                 (SPADLET |lhs| (CONS |lhs| NIL)))
                ('T (SPADLET |op| (CAR |lhs|))
                 (COND
                   ((AND (SPADLET |oldMode| (|get| |op| '|mode| |$e|))
-                        (NULL (AND (PAIRP |oldMode|)
+                        (NULL (AND (CONSP |oldMode|)
                                    (EQ (QCAR |oldMode|) '|Mapping|))))
                    (|throwKeyedMsg| 'S2IM0001
                        (CONS |op| (CONS |oldMode| NIL))))
@@ -293,11 +293,11 @@
                 (COND
                   ((PROGN
                      (SPADLET |ISTMP#1| (|get| |op| '|mode| |$e|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) '|Mapping|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |mapargs| (QCDR |ISTMP#2|))
                                    'T)))))
@@ -418,20 +418,20 @@
                                         (CONS
                                          (PROGN
                                            (COND
-                                             ((AND (PAIRP |x|)
+                                             ((AND (CONSP |x|)
                                                (EQ (QCAR |x|)
                                                 'SUCHTHAT)
                                                (PROGN
                                                  (SPADLET |ISTMP#1|
                                                   (QCDR |x|))
-                                                 (AND (PAIRP |ISTMP#1|)
+                                                 (AND (CONSP |ISTMP#1|)
                                                   (PROGN
                                                     (SPADLET |s|
                                                      (QCAR |ISTMP#1|))
                                                     (SPADLET |ISTMP#2|
                                                      (QCDR |ISTMP#1|))
                                                     (AND
-                                                     (PAIRP |ISTMP#2|)
+                                                     (CONSP |ISTMP#2|)
                                                      (EQ
                                                       (QCDR |ISTMP#2|)
                                                       NIL)
@@ -516,7 +516,7 @@
           ('T (SPADLET |entry| (CONS |pattern| |body|))
            (SPADLET |resultMap|
                     (COND
-                      ((AND (PAIRP |newMap|) (EQ (QCAR |newMap|) 'MAP)
+                      ((AND (CONSP |newMap|) (EQ (QCAR |newMap|) 'MAP)
                             (PROGN
                               (SPADLET |tail| (QCDR |newMap|))
                               'T))
@@ -537,7 +537,7 @@
   (PROG (|tail| |replacement| |newMap|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |map|) (EQ (QCAR |map|) 'MAP)
+             ((AND (CONSP |map|) (EQ (QCAR |map|) 'MAP)
                    (PROGN (SPADLET |tail| (QCDR |map|)) 'T))
               (SPADLET |newMap|
                        (CONS 'MAP
@@ -556,7 +556,7 @@
                                     (EXIT
                                      (COND
                                        ((COND
-                                          ((AND (PAIRP |x|)
+                                          ((AND (CONSP |x|)
                                             (EQUAL (QCAR |x|)
                                              |pattern|)
                                             (PROGN
@@ -601,15 +601,15 @@
                 ((|isSharpVarWithNum| |body|) NIL)
                 ((BOOT-EQUAL |body| (INTERN "" "BOOT")) NIL)
                 ('T (CONS |body| NIL))))
-             ((AND (PAIRP |body|) (EQ (QCAR |body|) 'WRAPPED)) NIL)
-             ((OR (AND (PAIRP |body|) (EQ (QCAR |body|) 'COLLECT)
+             ((AND (CONSP |body|) (EQ (QCAR |body|) 'WRAPPED)) NIL)
+             ((OR (AND (CONSP |body|) (EQ (QCAR |body|) 'COLLECT)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |body|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
                                 'T)
-                              (PAIRP |ISTMP#2|)
+                              (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |body1| (QCAR |ISTMP#2|))
                                 (SPADLET |itl| (QCDR |ISTMP#2|))
@@ -617,14 +617,14 @@
                               (PROGN
                                 (SPADLET |itl| (NREVERSE |itl|))
                                 'T))))
-                  (AND (PAIRP |body|) (EQ (QCAR |body|) 'REPEAT)
+                  (AND (CONSP |body|) (EQ (QCAR |body|) 'REPEAT)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |body|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
                                 'T)
-                              (PAIRP |ISTMP#2|)
+                              (CONSP |ISTMP#2|)
                               (PROGN
                                 (SPADLET |body1| (QCAR |ISTMP#2|))
                                 (SPADLET |itl| (QCDR |ISTMP#2|))
@@ -636,7 +636,7 @@
                        (S+ (|getUserIdentifiersInIterators| |itl|)
                            (|getUserIdentifiersIn| |body1|)))
               (S- |userIds| (|getIteratorIds| |itl|)))
-             ((AND (PAIRP |body|)
+             ((AND (CONSP |body|)
                    (PROGN
                      (SPADLET |op| (QCAR |body|))
                      (SPADLET |l| (QCDR |body|))
@@ -688,10 +688,10 @@
                       (PROGN (SETQ |x| (CAR G166485)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |x|) (EQ (QCAR |x|) 'STEP)
+                            ((AND (CONSP |x|) (EQ (QCAR |x|) 'STEP)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |i| (QCAR |ISTMP#1|))
                                        (SPADLET |l| (QCDR |ISTMP#1|))
@@ -718,14 +718,14 @@
                                                  (|getUserIdentifiersIn|
                                                   |y|))))))))
                                        |varList|)))
-                            ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IN)
+                            ((AND (CONSP |x|) (EQ (QCAR |x|) 'IN)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |y|
@@ -735,14 +735,14 @@
                                       (APPEND
                                        (|getUserIdentifiersIn| |y|)
                                        |varList|)))
-                            ((AND (PAIRP |x|) (EQ (QCAR |x|) 'ON)
+                            ((AND (CONSP |x|) (EQ (QCAR |x|) 'ON)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |y|
@@ -752,11 +752,11 @@
                                       (APPEND
                                        (|getUserIdentifiersIn| |y|)
                                        |varList|)))
-                            ((AND (PAIRP |x|)
+                            ((AND (CONSP |x|)
                                   (PROGN
                                     (SPADLET |op| (QCAR |x|))
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |a| (QCAR |ISTMP#1|))
@@ -791,26 +791,26 @@
                       (PROGN (SETQ |x| (CAR G166551)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |x|) (EQ (QCAR |x|) 'STEP)
+                            ((AND (CONSP |x|) (EQ (QCAR |x|) 'STEP)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |i| (QCAR |ISTMP#1|))
                                        'T))))
                              (SPADLET |varList| (CONS |i| |varList|)))
-                            ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IN)
+                            ((AND (CONSP |x|) (EQ (QCAR |x|) 'IN)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |y| (QCAR |ISTMP#1|))
                                        'T))))
                              (SPADLET |varList| (CONS |y| |varList|)))
-                            ((AND (PAIRP |x|) (EQ (QCAR |x|) 'ON)
+                            ((AND (CONSP |x|) (EQ (QCAR |x|) 'ON)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |y| (QCAR |ISTMP#1|))
                                        'T))))
@@ -833,10 +833,10 @@
         ((BOOT-EQUAL |x| |$Zero|) 0)
         ((BOOT-EQUAL |x| |$One|) 1)
         ((ATOM |x|) |x|)
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '-)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '-)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |n| (QCAR |ISTMP#1|)) 'T)))
               (NUMBERP |n|))
          (SPADDIFFERENCE |n|))
@@ -906,7 +906,7 @@
   (PROG (CAR CDR)
     (RETURN
       (COND
-        ((AND (PAIRP |args|)
+        ((AND (CONSP |args|)
               (PROGN
                 (SPADLET CAR (QCAR |args|))
                 (SPADLET CDR (QCDR |args|))
@@ -931,13 +931,13 @@
         (COND
           ((EQL |nargs| 1)
            (COND
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '=)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '=)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|#1|)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|#1|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |n| (QCAR |ISTMP#2|))
@@ -970,7 +970,7 @@
     (DECLARE (SPECIAL |$FormalMapVariableList|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|and|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|and|)
                    (PROGN (SPADLET |l| (QCDR |pred|)) 'T)
                    (BOOT-EQUAL |nargs| (|#| |l|))
                    (SPADLET |u|
@@ -997,19 +997,19 @@
                                         (SETQ G166675
                                          (CONS
                                           (COND
-                                            ((AND (PAIRP |x|)
+                                            ((AND (CONSP |x|)
                                               (EQ (QCAR |x|) '=)
                                               (PROGN
                                                 (SPADLET |ISTMP#1|
                                                  (QCDR |x|))
-                                                (AND (PAIRP |ISTMP#1|)
+                                                (AND (CONSP |ISTMP#1|)
                                                  (EQUAL
                                                   (QCAR |ISTMP#1|) |y|)
                                                  (PROGN
                                                    (SPADLET |ISTMP#2|
                                                     (QCDR |ISTMP#1|))
                                                    (AND
-                                                    (PAIRP |ISTMP#2|)
+                                                    (CONSP |ISTMP#2|)
                                                     (EQ
                                                      (QCDR |ISTMP#2|)
                                                      NIL)
@@ -1094,7 +1094,7 @@
   (PROG (|l|)
     (RETURN
       (COND
-        ((AND (PAIRP |pattern|) (EQ (QCAR |pattern|) '|Tuple|)
+        ((AND (CONSP |pattern|) (EQ (QCAR |pattern|) '|Tuple|)
               (PROGN (SPADLET |l| (QCDR |pattern|)) 'T))
          (CONS |op| |l|))
         ('T (CONS |op| |pattern|))))))
@@ -1142,16 +1142,16 @@
     (RETURN
       (COND
         ((NUMBERP |x|) |x|)
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
          |x|)))))
 
 ;isPatternArgument x == x is ["construct",:.]
 
 (DEFUN |isPatternArgument| (|x|)
-  (AND (PAIRP |x|) (EQ (QCAR |x|) '|construct|)))
+  (AND (CONSP |x|) (EQ (QCAR |x|) '|construct|)))
 
 ;--% Map dependencies
 ;makeNewDependencies (op, userVariables) ==
@@ -1252,7 +1252,7 @@
                                         (SETDIFFERENCE (CDR |a|)
                                          |doneList|))))))))))
               (COND
-                ((AND (PAIRP |toDoList|)
+                ((AND (CONSP |toDoList|)
                       (PROGN
                         (SPADLET |a| (QCAR |toDoList|))
                         (SPADLET |res| (QCDR |toDoList|))
@@ -1301,7 +1301,7 @@
         ((|isMapExpr| |x|) |x|)
         ((|containsVars| |x|) |x|)
         ((AND (ATOM |x|) (BOOT-EQUAL (CAR |m|) '|List|)) |x|)
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|construct|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|construct|)
               (BOOT-EQUAL |m| '(|List| (|Expression|))))
          |x|)
         ('T
@@ -1359,7 +1359,7 @@
 (DEFUN |simplifyMapPattern,unTrivialize| (|x|)
   (PROG (|l| |op| |ISTMP#1| |a| |ISTMP#2|)
     (RETURN
-      (SEQ (IF (AND (AND (PAIRP |x|)
+      (SEQ (IF (AND (AND (CONSP |x|)
                          (PROGN
                            (SPADLET |op| (QCAR |x|))
                            (SPADLET |l| (QCDR |x|))
@@ -1382,15 +1382,15 @@
                                           |y|)
                                          G166866)))))))
                            |op|)))
-           (IF (AND (AND (PAIRP |x|)
+           (IF (AND (AND (CONSP |x|)
                          (PROGN
                            (SPADLET |op| (QCAR |x|))
                            (SPADLET |ISTMP#1| (QCDR |x|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |a| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (EQUAL (QCAR |ISTMP#2|) |a|))))))
                     (|member| |op| '(= |is|)))
@@ -1418,14 +1418,14 @@
              (SPADLET |rhs| (|simplifyMapConstructorRefs| |rhs|))
              (SPADLET |x| (CONS |lhs| |rhs|))
              (COND
-               ((AND (PAIRP |lhs|) (EQ (QCAR |lhs|) '|\||)
+               ((AND (CONSP |lhs|) (EQ (QCAR |lhs|) '|\||)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |lhs|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |y| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |pred| (QCAR |ISTMP#2|))
@@ -1525,11 +1525,11 @@
                                        G166958))))))))))
                 ((|member| |op| '(|:| |::| @))
                  (COND
-                   ((AND (PAIRP |args|)
+                   ((AND (CONSP |args|)
                          (PROGN
                            (SPADLET |obj| (QCAR |args|))
                            (SPADLET |ISTMP#1| (QCDR |args|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |dom| (QCAR |ISTMP#1|))
@@ -1556,18 +1556,18 @@
   (PROG (|ISTMP#1| |a| |ISTMP#2| |b| |ISTMP#3| |c|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IF)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'IF)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |b| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |c| (QCAR |ISTMP#3|))
@@ -1601,7 +1601,7 @@
       (SEQ (IF (AND (PROGN
                       (SPADLET |ISTMP#1|
                                (SPADLET |x| (SUBLIS |sl| |x|)))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |op| (QCAR |ISTMP#1|))
                              (SPADLET |l| (QCDR |ISTMP#1|))
@@ -1617,27 +1617,27 @@
                             (SEQ (EXIT (SPADLET |sl|
                                         (|getEqualSublis,fn| |y| |sl|)))))
                           (EXIT |sl|))))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '|is|)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) '|is|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |b| (QCAR |ISTMP#2|))
                                     'T))))))
                (EXIT (CONS (CONS |a| |b|) |sl|)))
-           (IF (AND (PAIRP |x|) (EQ (QCAR |x|) '=)
+           (IF (AND (CONSP |x|) (EQ (QCAR |x|) '=)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |b| (QCAR |ISTMP#2|))
@@ -1748,11 +1748,11 @@
                 (COND
                   ((PROGN
                      (SPADLET |ISTMP#1| (|getMode| |op|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) '|Mapping|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |target| (QCAR |ISTMP#2|))
                                    'T)))))
@@ -1807,7 +1807,7 @@
                       (COND
                         ((NULL (PROGN
                                  (SPADLET |ISTMP#1| (|getMode| |op|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCAR |ISTMP#1|) '|Mapping|)
                                       (PROGN
                                         (SPADLET |sig|
@@ -1861,7 +1861,7 @@
           ((NEQUAL (|numMapArgs| |mapDef|) (|#| |argTypes|)) NIL)
           ((OR (PROGN
                  (SPADLET |ISTMP#1| (SPADLET |m| (|getMode| |op|)))
-                 (AND (PAIRP |ISTMP#1|)
+                 (AND (CONSP |ISTMP#1|)
                       (EQ (QCAR |ISTMP#1|) '|Mapping|)
                       (PROGN (SPADLET |sig| (QCDR |ISTMP#1|)) 'T)))
                (AND |m| (SPADLET |sig| (CONS |m| NIL))))
@@ -1918,7 +1918,7 @@
       (SEQ (COND
              ((NULL (PROGN
                       (SPADLET |ISTMP#1| (|getMode| |op|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) '|Mapping|)
                            (PROGN (SPADLET |sig| (QCDR |ISTMP#1|)) 'T))))
               NIL)
@@ -2017,7 +2017,7 @@
                 ((NULL (PROGN
                          (SPADLET |ISTMP#1|
                                   (|get| |opName| '|mode| |$e|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) '|Mapping|)
                               (PROGN
                                 (SPADLET |sig| (QCDR |ISTMP#1|))
@@ -2092,10 +2092,10 @@
       (PROGN
         (SPADLET |val| (|get| |opName| '|value| |$e|))
         (COND
-          ((AND (PAIRP |val|)
+          ((AND (CONSP |val|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |val|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'MAP)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'MAP)
                        (PROGN (SPADLET |bod| (QCDR |ISTMP#1|)) 'T))))
            (SPADLET |$e|
                     (|putHist| |opName| '|mapBody|
@@ -2155,10 +2155,10 @@
                 (SPADLET |argTypes| (CDDR |s|)))
                ('T (SPADLET |tar| NIL) (SPADLET |argTypes| NIL)))
              (SPADLET |ISTMP#1| (|get| |opName| '|mode| |$e|))
-             (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
+             (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
                   (PROGN
                     (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                    (AND (PAIRP |ISTMP#2|)
+                    (AND (CONSP |ISTMP#2|)
                          (PROGN
                            (SPADLET |tar| (QCAR |ISTMP#2|))
                            (SPADLET |argTypes| (QCDR |ISTMP#2|))
@@ -2179,7 +2179,7 @@
                                   (SPADLET |argTypes| (CDR |argTypes|))
                                   (SPADLET |val|
                                            (COND
-                                             ((AND (PAIRP |t|)
+                                             ((AND (CONSP |t|)
                                                (EQ (QCAR |t|)
                                                 '|Mapping|))
                                               (|getValue| |arg|))
@@ -2282,7 +2282,7 @@
                                   (SPADLET |argTypes| (CDR |argTypes|))
                                   (SPADLET |val|
                                            (COND
-                                             ((AND (PAIRP |t|)
+                                             ((AND (CONSP |t|)
                                                (EQ (QCAR |t|)
                                                 '|Mapping|))
                                               |evArg|)
@@ -2560,7 +2560,7 @@
 ;    ( n := isSharpVarWithNum op ) => STRCONC('"")
 ;    op
 ;  if get(op,'isInterpreterRule,$e) then
-;    sayKeyedMsg("S2IM0014",[op0,(PAIRP sig =>prefix2String CAR sig;'"?")])
+;    sayKeyedMsg("S2IM0014",[op0,(CONSP sig =>prefix2String CAR sig;'"?")])
 ;  else sayKeyedMsg("S2IM0015",[op0,formatSignature sig])
 ;  $whereCacheList := [op,:$whereCacheList]
 ;  -- RSS: 6-21-94
@@ -2597,7 +2597,7 @@
                 (|sayKeyedMsg| 'S2IM0014
                     (CONS |op0|
                           (CONS (COND
-                                  ((PAIRP |sig|)
+                                  ((CONSP |sig|)
                                    (|prefix2String| (CAR |sig|)))
                                   ('T "?"))
                                 NIL))))
@@ -2815,7 +2815,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |body|) 0)
-             ((AND (PAIRP |body|)
+             ((AND (CONSP |body|)
                    (PROGN
                      (SPADLET |op| (QCAR |body|))
                      (SPADLET |argl| (QCDR |body|))
@@ -2848,7 +2848,7 @@
                 ((AND (SPADLET |obj| (|get| |op| '|value| |$e|))
                       (PROGN
                         (SPADLET |ISTMP#1| (|objVal| |obj|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) 'MAP)
                              (PROGN
                                (SPADLET |mapDef| (QCDR |ISTMP#1|))
@@ -3268,7 +3268,7 @@
                 ((AND (SPADLET |obj| (|get| |body| '|value| |$e|))
                       (PROGN
                         (SPADLET |ISTMP#1| (|objVal| |obj|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) 'MAP)
                              (PROGN
                                (SPADLET |mapDef| (QCDR |ISTMP#1|))
@@ -3276,7 +3276,7 @@
                       (EQL (|numMapArgs| |mapDef|) 0))
                  (|getMapBody| |body| |mapDef|))
                 ('T |body|)))
-             ((AND (PAIRP |body|)
+             ((AND (CONSP |body|)
                    (PROGN
                      (SPADLET |op| (QCAR |body|))
                      (SPADLET |argl| (QCDR |body|))
@@ -3287,7 +3287,7 @@
                    ((AND (SPADLET |obj| (|get| |op| '|value| |$e|))
                          (PROGN
                            (SPADLET |ISTMP#1| (|objVal| |obj|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCAR |ISTMP#1|) 'MAP)
                                 (PROGN
                                   (SPADLET |mapDef| (QCDR |ISTMP#1|))
@@ -3373,18 +3373,18 @@
             |op| |argl| |args|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |funBody|) (EQ (QCAR |funBody|) 'IF)
+             ((AND (CONSP |funBody|) (EQ (QCAR |funBody|) 'IF)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |funBody|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#3|))
@@ -3407,7 +3407,7 @@
               (COND
                 ((|notCalled| |opName| |funBody|) |funBody|)
                 ('T '|noMapVal|)))
-             ((AND (PAIRP |funBody|)
+             ((AND (CONSP |funBody|)
                    (PROGN
                      (SPADLET |op| (QCAR |funBody|))
                      (SPADLET |argl| (QCDR |funBody|))
@@ -3447,8 +3447,8 @@
   (PROG (|argl|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |body|) (EQUAL (QCAR |body|) |op|)) 'T)
-             ((AND (PAIRP |body|)
+             ((AND (CONSP |body|) (EQUAL (QCAR |body|) |op|)) 'T)
+             ((AND (CONSP |body|)
                    (PROGN (SPADLET |argl| (QCDR |body|)) 'T))
               (PROG (G168221)
                 (SPADLET G168221 NIL)
@@ -3477,7 +3477,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |form|) 'T)
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |op| (QCAR |form|))
                      (SPADLET |argl| (QCDR |form|))
@@ -3537,13 +3537,13 @@
   (PROG (|ISTMP#1| |a| |argl|)
     (RETURN
       (COND
-        ((AND (PAIRP |args|) (EQ (QCAR |args|) '|\||)
+        ((AND (CONSP |args|) (EQ (QCAR |args|) '|\||)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |args|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
          (|numArgs| |a|))
-        ((AND (PAIRP |args|) (EQ (QCAR |args|) '|Tuple|)
+        ((AND (CONSP |args|) (EQ (QCAR |args|) '|Tuple|)
               (PROGN (SPADLET |argl| (QCDR |args|)) 'T))
          (|#| |argl|))
         ((NULL |args|) 0)
@@ -3565,10 +3565,10 @@
     (RETURN
       (SEQ (COND
              ((NULL |mapTail|) '|noMapVal|)
-             ((AND (PAIRP |mapTail|)
+             ((AND (CONSP |mapTail|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |mapTail|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |cond| (QCAR |ISTMP#1|))
                             (SPADLET |part| (QCDR |ISTMP#1|))
@@ -3576,7 +3576,7 @@
                    (PROGN (SPADLET |restMap| (QCDR |mapTail|)) 'T))
               (COND
                 ((OR (|isSharpVarWithNum| |cond|)
-                     (AND (PAIRP |cond|) (EQ (QCAR |cond|) '|Tuple|)
+                     (AND (CONSP |cond|) (EQ (QCAR |cond|) '|Tuple|)
                           (PROGN (SPADLET |args| (QCDR |cond|)) 'T)
                           (PROG (G168317)
                             (SPADLET G168317 'T)
@@ -3617,19 +3617,19 @@
   (PROG (|ISTMP#1| |args| |ISTMP#2| |pred| |vals|)
     (RETURN
       (COND
-        ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|\||)
+        ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|\||)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |cond|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |args| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |pred| (QCAR |ISTMP#2|))
                               'T))))))
          (|mapPredTran| |pred|))
-        ((AND (PAIRP |cond|) (EQ (QCAR |cond|) '|Tuple|)
+        ((AND (CONSP |cond|) (EQ (QCAR |cond|) '|Tuple|)
               (PROGN (SPADLET |vals| (QCDR |cond|)) 'T))
          (|mkValueCheck| |vals| 1))
         ('T (|mkValCheck| |cond| 1))))))
@@ -3643,7 +3643,7 @@
   (PROG (|val|)
     (RETURN
       (COND
-        ((AND (PAIRP |vals|) (EQ (QCDR |vals|) NIL)
+        ((AND (CONSP |vals|) (EQ (QCDR |vals|) NIL)
               (PROGN (SPADLET |val| (QCAR |vals|)) 'T))
          (|mkValCheck| |val| |i|))
         ('T
@@ -3682,48 +3682,48 @@
             |ub|)
     (RETURN
       (COND
-        ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|in|)
+        ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|in|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |pred|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |var| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCAR |ISTMP#3|) 'SEGMENT)
                                    (PROGN
                                      (SPADLET |ISTMP#4|
                                       (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
+                                     (AND (CONSP |ISTMP#4|)
                                       (EQ (QCDR |ISTMP#4|) NIL)
                                       (PROGN
                                         (SPADLET |lb| (QCAR |ISTMP#4|))
                                         'T))))))))))
          (|mkLessOrEqual| |lb| |var|))
-        ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|in|)
+        ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|in|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |pred|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |var| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCAR |ISTMP#3|) 'SEGMENT)
                                    (PROGN
                                      (SPADLET |ISTMP#4|
                                       (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
+                                     (AND (CONSP |ISTMP#4|)
                                       (PROGN
                                         (SPADLET |lb| (QCAR |ISTMP#4|))
                                         (SPADLET |ISTMP#5|
                                          (QCDR |ISTMP#4|))
-                                        (AND (PAIRP |ISTMP#5|)
+                                        (AND (CONSP |ISTMP#5|)
                                          (EQ (QCDR |ISTMP#5|) NIL)
                                          (PROGN
                                            (SPADLET |ub|
@@ -3796,7 +3796,7 @@
                  NIL)
                 ((OR (|isLocalVar| |form|) (|isFreeVar| |form|)) NIL)
                 ('T (|mkFreeVar| |$mapName| |form|))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|local|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|local|)
                    (PROGN (SPADLET |vars| (QCDR |form|)) 'T))
               (DO ((G168587 |vars| (CDR G168587)) (|x| NIL))
                   ((OR (ATOM G168587)
@@ -3805,7 +3805,7 @@
                 (SEQ (EXIT (COND
                              ((ATOM |x|)
                               (EXIT (|mkLocalVar| |op| |x|))))))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|free|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|free|)
                    (PROGN (SPADLET |vars| (QCDR |form|)) 'T))
               (DO ((G168596 |vars| (CDR G168596)) (|x| NIL))
                   ((OR (ATOM G168596)
@@ -3813,22 +3813,22 @@
                    NIL)
                 (SEQ (EXIT (COND
                              ((ATOM |x|) (EXIT (|mkFreeVar| |op| |x|))))))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) 'LET)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) 'LET)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (COND
-                ((AND (PAIRP |a|) (EQ (QCAR |a|) '|Tuple|)
+                ((AND (CONSP |a|) (EQ (QCAR |a|) '|Tuple|)
                       (PROGN (SPADLET |vars| (QCDR |a|)) 'T)
-                      (PAIRP |b|) (EQ (QCAR |b|) '|Tuple|)
+                      (CONSP |b|) (EQ (QCAR |b|) '|Tuple|)
                       (PROGN (SPADLET |vals| (QCDR |b|)) 'T))
                  (DO ((G168606 |vars| (CDR G168606)) (|var| NIL)
                       (G168607 |vals| (CDR G168607)) (|val| NIL))
@@ -3840,7 +3840,7 @@
                    (SEQ (EXIT (|findLocalVars1| |op|
                                   (CONS 'LET
                                         (CONS |var| (CONS |val| NIL))))))))
-                ((AND (PAIRP |a|) (EQ (QCAR |a|) '|construct|)
+                ((AND (CONSP |a|) (EQ (QCAR |a|) '|construct|)
                       (PROGN (SPADLET |pat| (QCDR |a|)) 'T))
                  (DO ((G168619 (|listOfVariables| |pat|)
                           (CDR G168619))
@@ -3851,14 +3851,14 @@
                    (SEQ (EXIT (|mkLocalVar| |op| |var|))))
                  (|findLocalVars1| |op| |b|))
                 ((OR (ATOM |a|)
-                     (AND (PAIRP |a|) (EQ (QCAR |a|) '|:|)
+                     (AND (CONSP |a|) (EQ (QCAR |a|) '|:|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |a|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |a| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)))))))
                  (|mkLocalVar| |op| |a|) (|findLocalVars1| |op| |b|))
                 ('T (|findLocalVars| |op| |b|)
@@ -3867,24 +3867,24 @@
                           (PROGN (SETQ |x| (CAR G168628)) NIL))
                       NIL)
                    (SEQ (EXIT (|findLocalVars1| |op| |x|)))))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|:|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|:|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL))))))
               (|mkLocalVar| |op| |a|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) '|is|)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) '|is|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |l| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |pattern| (QCAR |ISTMP#2|))
@@ -3898,15 +3898,15 @@
                          (PROGN (SETQ |var| (CAR G168637)) NIL))
                      NIL)
                   (SEQ (EXIT (|mkLocalVar| |op| |var|))))))
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |oper| (QCAR |form|))
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
                             'T)
-                          (PAIRP |ISTMP#2|)
+                          (CONSP |ISTMP#2|)
                           (PROGN
                             (SPADLET |body| (QCAR |ISTMP#2|))
                             (SPADLET |itrl| (QCDR |ISTMP#2|))
@@ -3916,7 +3916,7 @@
                             'T)))
                    (member |oper| '(REPEAT COLLECT)))
               (|findLocalsInLoop| |op| |itrl| |body|))
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |y| (QCAR |form|))
                      (SPADLET |argl| (QCDR |form|))
@@ -3958,22 +3958,22 @@
                       (PROGN (SETQ |it| (CAR G168789)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |it|) (EQ (QCAR |it|) 'STEP)
+                            ((AND (CONSP |it|) (EQ (QCAR |it|) 'STEP)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |it|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |index|
                                         (QCAR |ISTMP#1|))
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (PROGN
                                           (SPADLET |lower|
                                            (QCAR |ISTMP#2|))
                                           (SPADLET |ISTMP#3|
                                            (QCDR |ISTMP#2|))
-                                          (AND (PAIRP |ISTMP#3|)
+                                          (AND (CONSP |ISTMP#3|)
                                            (PROGN
                                              (SPADLET |step|
                                               (QCAR |ISTMP#3|))
@@ -3991,16 +3991,16 @@
                                         NIL))
                                   NIL)
                                (SEQ (EXIT (|findLocalVars1| |op| |up|)))))
-                            ((AND (PAIRP |it|) (EQ (QCAR |it|) 'IN)
+                            ((AND (CONSP |it|) (EQ (QCAR |it|) 'IN)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |it|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |index|
                                         (QCAR |ISTMP#1|))
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |s|
@@ -4009,22 +4009,22 @@
                              (|mkLocalVar| |op| |index|))
                             ('T (|findLocalVars1| |op| |s|)
                              (COND
-                               ((AND (PAIRP |it|)
+                               ((AND (CONSP |it|)
                                      (EQ (QCAR |it|) 'WHILE)
                                      (PROGN
                                        (SPADLET |ISTMP#1| (QCDR |it|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCDR |ISTMP#1|) NIL)
                                         (PROGN
                                           (SPADLET |b|
                                            (QCAR |ISTMP#1|))
                                           'T))))
                                 (|findLocalVars1| |op| |b|))
-                               ((AND (PAIRP |it|)
+                               ((AND (CONSP |it|)
                                      (EQ (QCAR |it|) '|\||)
                                      (PROGN
                                        (SPADLET |ISTMP#1| (QCDR |it|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCDR |ISTMP#1|) NIL)
                                         (PROGN
                                           (SPADLET |pred|
@@ -4037,12 +4037,12 @@
                            (PROGN (SETQ |it| (CAR G168812)) NIL))
                        NIL)
                     (SEQ (EXIT (COND
-                                 ((AND (PAIRP |it|)
+                                 ((AND (CONSP |it|)
                                        (PROGN
                                          (SPADLET |op| (QCAR |it|))
                                          (SPADLET |ISTMP#1|
                                           (QCDR |it|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |b|
@@ -4087,7 +4087,7 @@
 ;  IDENTP pat => (pat='_. => nil ; [pat])
 ;  pat is ['_:,var] or pat is ['_=,var] =>
 ;    (var='_. => NIL ; [var])
-;  PAIRP pat => REMDUP [:listOfVariables p for p in pat]
+;  CONSP pat => REMDUP [:listOfVariables p for p in pat]
 ;  nil
 
 (DEFUN |listOfVariables| (|pat|)
@@ -4098,18 +4098,18 @@
               (COND
                 ((BOOT-EQUAL |pat| (INTERN "." "BOOT")) NIL)
                 ('T (CONS |pat| NIL))))
-             ((OR (AND (PAIRP |pat|) (EQ (QCAR |pat|) '|:|)
+             ((OR (AND (CONSP |pat|) (EQ (QCAR |pat|) '|:|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |pat|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCDR |ISTMP#1|) NIL)
                               (PROGN
                                 (SPADLET |var| (QCAR |ISTMP#1|))
                                 'T))))
-                  (AND (PAIRP |pat|) (EQ (QCAR |pat|) '=)
+                  (AND (CONSP |pat|) (EQ (QCAR |pat|) '=)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |pat|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCDR |ISTMP#1|) NIL)
                               (PROGN
                                 (SPADLET |var| (QCAR |ISTMP#1|))
@@ -4117,7 +4117,7 @@
               (COND
                 ((BOOT-EQUAL |var| (INTERN "." "BOOT")) NIL)
                 ('T (CONS |var| NIL))))
-             ((PAIRP |pat|)
+             ((CONSP |pat|)
               (REMDUP (PROG (G168865)
                         (SPADLET G168865 NIL)
                         (RETURN
diff -Nru axiom-20110301a/src/interp/info.lisp.pamphlet axiom-20111101/src/interp/info.lisp.pamphlet
--- axiom-20110301a/src/interp/info.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/info.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -73,10 +73,10 @@
   (PROG (|ISTMP#1| |stuff|)
     (RETURN
       (SEQ (IF (ATOM |m|) (EXIT NIL))
-           (IF (AND (PAIRP |m|) (EQ (QCAR |m|) 'CATEGORY)
+           (IF (AND (CONSP |m|) (EQ (QCAR |m|) 'CATEGORY)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |m|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |stuff| (QCDR |ISTMP#1|))
                              'T))))
@@ -86,7 +86,7 @@
                               (PROGN (SETQ |u| (CAR G166079)) NIL))
                           NIL)
                        (SEQ (EXIT (|addInfo| |u|))))))
-           (IF (AND (PAIRP |m|) (EQ (QCAR |m|) '|Join|)
+           (IF (AND (CONSP |m|) (EQ (QCAR |m|) '|Join|)
                     (PROGN (SPADLET |stuff| (QCDR |m|)) 'T))
                (EXIT (DO ((G166088 |stuff| (CDR G166088))
                           (|u| NIL))
@@ -143,10 +143,10 @@
     (RETURN
       (SEQ (COND
              ((ATOM |u|) |u|)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'SIGNATURE)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'SIGNATURE)
                    (PROGN (SPADLET |v| (QCDR |u|)) 'T))
               (CONS 'SIGNATURE (CONS '$ |v|)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'PROGN)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'PROGN)
                    (PROGN (SPADLET |l| (QCDR |u|)) 'T))
               (CONS 'PROGN
                     (PROG (G166159)
@@ -161,10 +161,10 @@
                           (SEQ (EXIT (SETQ G166159
                                       (CONS (|formatInfo| |v|)
                                        G166159)))))))))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'ATTRIBUTE)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'ATTRIBUTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
               (COND
                 ((AND (ATOM |v|)
@@ -174,18 +174,18 @@
                 ((|isCategoryForm| |v| |$e|)
                  (CONS '|has| (CONS '$ (CONS |v| NIL))))
                 ('T (CONS 'ATTRIBUTE (CONS '$ (CONS |v| NIL))))))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'IF)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'IF)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#3|))
@@ -225,7 +225,7 @@
 (DEFUN |liftCond,lcAnd| (|pred| |conj|)
   (PROG (|ll|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |conj|) (EQ (QCAR |conj|) '|and|)
+      (SEQ (IF (AND (CONSP |conj|) (EQ (QCAR |conj|) '|and|)
                     (PROGN (SPADLET |ll| (QCDR |conj|)) 'T))
                (EXIT (CONS '|and| (CONS |pred| |ll|))))
            (EXIT (CONS '|and| (CONS |pred| (CONS |conj| NIL))))))))
@@ -237,7 +237,7 @@
              (SPADLET |ante| (CAR |clause|))
              (SPADLET |conseq| (CADR |clause|))
              (COND
-               ((AND (PAIRP |conseq|) (EQ (QCAR |conseq|) 'COND)
+               ((AND (CONSP |conseq|) (EQ (QCAR |conseq|) 'COND)
                      (PROGN (SPADLET |l| (QCDR |conseq|)) 'T))
                 (PROG (G166216)
                   (SPADLET G166216 NIL)
@@ -281,14 +281,14 @@
   (declare (special |$e|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|has|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|has|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -303,20 +303,20 @@
                              (CONS (CONS 'ATTRIBUTE (CONS |b| NIL))
                                    NIL))))
                 ((|isCategoryForm| |b| |$e|) |u|)
-                ((AND (PAIRP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
+                ((AND (CONSP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |b|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL))))
                  |u|)
-                ((AND (PAIRP |b|) (EQ (QCAR |b|) 'SIGNATURE)) |u|)
+                ((AND (CONSP |b|) (EQ (QCAR |b|) 'SIGNATURE)) |u|)
                 ('T
                  (CONS '|has|
                        (CONS |a|
                              (CONS (CONS 'ATTRIBUTE (CONS |b| NIL))
                                    NIL))))))
              ((ATOM |u|) |u|)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|and|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|and|)
                    (PROGN (SPADLET |v| (QCDR |u|)) 'T))
               (CONS '|and|
                     (PROG (G166262)
@@ -370,7 +370,7 @@
                      ((OR (ATOM G166301)
                           (PROGN (SETQ |u| (CAR G166301)) NIL))
                       NIL)
-                   (SEQ (EXIT (IF (AND (PAIRP |u|)
+                   (SEQ (EXIT (IF (AND (CONSP |u|)
                                        (EQ (QCAR |u|) 'COND)
                                        (PROGN
                                          (SPADLET |l| (QCDR |u|))
@@ -420,7 +420,7 @@
                                                        G166324)))))))))
                                            (IF
                                             (AND
-                                             (AND (PAIRP |ante|)
+                                             (AND (CONSP |ante|)
                                               (EQ (QCAR |ante|) '|and|)
                                               (PROGN
                                                 (SPADLET |ante'|
@@ -478,13 +478,13 @@
         (SPADLET |a| (CADR |pred|))
         (SPADLET |b| (CADDR |pred|))
         (COND
-          ((AND (PAIRP |b|) (EQ (QCAR |b|) 'SIGNATURE)
+          ((AND (CONSP |b|) (EQ (QCAR |b|) 'SIGNATURE)
                 (PROGN (SPADLET |data| (QCDR |b|)) 'T))
            (CONS 'SIGNATURE (CONS |a| |data|)))
-          ((AND (PAIRP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
+          ((AND (CONSP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |b|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET |c| (QCAR |ISTMP#1|)) 'T))))
            (CONS 'ATTRIBUTE (CONS |a| (CONS |c| NIL))))
           ('T |pred|))))))
@@ -498,23 +498,23 @@
   (PROG (|data| |ISTMP#1| |b| |ISTMP#2| |c|)
     (RETURN
       (COND
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) 'SIGNATURE)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) 'SIGNATURE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |b| (QCAR |ISTMP#1|))
                        (SPADLET |data| (QCDR |ISTMP#1|))
                        'T))))
          (CONS '|has| (CONS |b| (CONS (CONS 'SIGNATURE |data|) NIL))))
-        ((AND (PAIRP |a|) (EQ (QCAR |a|) 'ATTRIBUTE)
+        ((AND (CONSP |a|) (EQ (QCAR |a|) 'ATTRIBUTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |a|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |b| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |c| (QCAR |ISTMP#2|)) 'T))))))
          (CONS '|has|
                (CONS |b| (CONS (CONS 'ATTRIBUTE (CONS |c| NIL)) NIL))))
@@ -584,7 +584,7 @@
              ((BOOT-EQUAL |pred| 'T) 'T)
              ((|member| |pred| (|get| '|$Information| 'special |$e|))
               'T)
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'OR)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'OR)
                    (PROGN (SPADLET |l| (QCDR |pred|)) 'T))
               (PROG (G166500)
                 (SPADLET G166500 NIL)
@@ -596,7 +596,7 @@
                        G166500)
                     (SEQ (EXIT (SETQ G166500
                                      (OR G166500 (|knownInfo| |u|)))))))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'AND)
                    (PROGN (SPADLET |l| (QCDR |pred|)) 'T))
               (PROG (G166514)
                 (SPADLET G166514 'T)
@@ -608,7 +608,7 @@
                        G166514)
                     (SEQ (EXIT (SETQ G166514
                                      (AND G166514 (|knownInfo| |u|)))))))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|or|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|or|)
                    (PROGN (SPADLET |l| (QCDR |pred|)) 'T))
               (PROG (G166528)
                 (SPADLET G166528 NIL)
@@ -620,7 +620,7 @@
                        G166528)
                     (SEQ (EXIT (SETQ G166528
                                      (OR G166528 (|knownInfo| |u|)))))))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|and|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|and|)
                    (PROGN (SPADLET |l| (QCDR |pred|)) 'T))
               (PROG (G166542)
                 (SPADLET G166542 'T)
@@ -632,14 +632,14 @@
                        G166542)
                     (SEQ (EXIT (SETQ G166542
                                      (AND G166542 (|knownInfo| |u|)))))))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'ATTRIBUTE)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'ATTRIBUTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |name| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |attr| (QCAR |ISTMP#2|))
@@ -665,26 +665,26 @@
                    ((SPADLET |x| (|assoc| |attr| (ELT |vv| 2)))
                     (|knownInfo| (CADR |x|)))
                    ('T NIL)))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|has|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|has|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |name| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |cat| (QCAR |ISTMP#2|))
                                    'T))))))
               (COND
-                ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'ATTRIBUTE)
+                ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'ATTRIBUTE)
                       (PROGN (SPADLET |a| (QCDR |cat|)) 'T))
                  (|knownInfo| (CONS 'ATTRIBUTE (CONS |name| |a|))))
-                ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'SIGNATURE)
+                ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'SIGNATURE)
                       (PROGN (SPADLET |a| (QCDR |cat|)) 'T))
                  (|knownInfo| (CONS 'SIGNATURE (CONS |name| |a|))))
-                ((AND (PAIRP |name|) (EQ (QCAR |name|) '|Union|)) NIL)
+                ((AND (CONSP |name|) (EQ (QCAR |name|) '|Union|)) NIL)
                 ('T
                  (SPADLET |v| (|compForMode| |name| |$EmptyMode| |$e|))
                  (COND
@@ -696,7 +696,7 @@
                    ('T (SPADLET |vmode| (CADR |v|))
                     (COND
                       ((BOOT-EQUAL |cat| |vmode|) 'T)
-                      ((AND (PAIRP |vmode|) (EQ (QCAR |vmode|) '|Join|)
+                      ((AND (CONSP |vmode|) (EQ (QCAR |vmode|) '|Join|)
                             (PROGN (SPADLET |l| (QCDR |vmode|)) 'T)
                             (|member| |cat| |l|))
                        'T)
@@ -738,18 +738,18 @@
                                             (LIST (CAR |u|))))))))))))
                           'T)
                          ('T NIL)))))))))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) 'SIGNATURE)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) 'SIGNATURE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |name| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |op| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |sig| (QCAR |ISTMP#3|))
                                       'T))))))))
@@ -845,7 +845,7 @@
     (RETURN
       (SEQ (COND
              ((NULL |u|) |$e|)
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'PROGN)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'PROGN)
                    (PROGN (SPADLET |l| (QCDR |u|)) 'T))
               (DO ((G166754 |l| (CDR G166754)) (|v| NIL))
                   ((OR (ATOM G166754)
@@ -862,7 +862,7 @@
                                          'special |$e|)))
                               |$e|))
               (COND
-                ((AND (PAIRP |u|) (EQ (QCAR |u|) 'COND)
+                ((AND (CONSP |u|) (EQ (QCAR |u|) 'COND)
                       (PROGN (SPADLET |l| (QCDR |u|)) 'T))
                  (DO ((G166764 |l| (CDR G166764)) (G166624 NIL))
                      ((OR (ATOM G166764)
@@ -890,14 +890,14 @@
                                       (|actOnInfo| |v| |$e|))))))
                                 ('T NIL)))))
                  |$e|)
-                ((AND (PAIRP |u|) (EQ (QCAR |u|) 'ATTRIBUTE)
+                ((AND (CONSP |u|) (EQ (QCAR |u|) 'ATTRIBUTE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |u|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |name| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |att| (QCAR |ISTMP#2|))
@@ -925,20 +925,20 @@
                                        (CONS (|mkJoin| |cat| |vmode|)
                                         (CONS |venv| NIL)))
                                  |$e|)))
-                ((AND (PAIRP |u|) (EQ (QCAR |u|) 'SIGNATURE)
+                ((AND (CONSP |u|) (EQ (QCAR |u|) 'SIGNATURE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |u|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |name| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |operator|
                                        (QCAR |ISTMP#2|))
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL)
                                        (PROGN
                                          (SPADLET |modemap|
@@ -987,14 +987,14 @@
                                        (CONS (|mkJoin| |cat| |vmode|)
                                         (CONS |venv| NIL)))
                                  |$e|)))
-                ((AND (PAIRP |u|) (EQ (QCAR |u|) '|has|)
+                ((AND (CONSP |u|) (EQ (QCAR |u|) '|has|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |u|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |name| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |cat| (QCAR |ISTMP#2|))
@@ -1018,35 +1018,32 @@
                              (SPADLET |ISTMP#1|
                                       (|assoc| |cat|
                                        (CADR (ELT |ocatvec| 4))))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (PROGN
                                     (SPADLET |ISTMP#2|
                                      (QCDR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
+                                    (AND (CONSP |ISTMP#2|)
                                      (EQ (QCAR |ISTMP#2|) 'T)
                                      (PROGN
                                        (SPADLET |ISTMP#3|
                                         (QCDR |ISTMP#2|))
-                                       (AND (PAIRP |ISTMP#3|)
+                                       (AND (CONSP |ISTMP#3|)
                                         (EQ (QCDR |ISTMP#3|) NIL))))))))
                        |$e|)
                       ('T
                        (COND
                          ((BOOT-EQUAL |name| '$)
                           (SPADLET |$e|
-                                   (|augModemapsFromCategory| |name|
-                                    |name| |name| |cat| |$e|)))
+                                   (|augModemapsFromCategory|
+                                       |name| |name| |cat| |$e|)))
                          ('T
-                          (SPADLET |viewName|
-                                   (|genDomainViewName| |name| |cat|))
-                          (|genDomainView| |viewName| |name| |cat|
-                              '|HasCategory|)
+                          (|genDomainView| |name| |cat| '|HasCategory|)
                           (COND
-                            ((NULL (member |viewName|
+                            ((NULL (member |name|
                                     |$functorLocalParameters|))
                              (SPADLET |$functorLocalParameters|
                                       (APPEND |$functorLocalParameters|
-                                       (CONS |viewName| NIL))))
+                                       (CONS |name| NIL))))
                             ('T NIL))))
                        (SAY "augmenting " |name|
                             ": " |cat|)
@@ -1071,7 +1068,7 @@
   (PROG (|cats|)
     (RETURN
       (COND
-        ((AND (PAIRP |mode|) (EQ (QCAR |mode|) '|Join|)
+        ((AND (CONSP |mode|) (EQ (QCAR |mode|) '|Join|)
               (PROGN (SPADLET |cats| (QCDR |mode|)) 'T))
          (CONS '|Join| (CONS |cat| |cats|)))
         ('T (CONS '|Join| (CONS |cat| (CONS |mode| NIL))))))))
diff -Nru axiom-20110301a/src/interp/interop.lisp.pamphlet axiom-20111101/src/interp/interop.lisp.pamphlet
--- axiom-20110301a/src/interp/interop.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/interop.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -281,13 +281,13 @@
          (NCONC |dd| |dd|) |dd|)))))
 
 ;makeOldAxiomDispatchDomain dom ==
-;  PAIRP dom => dom
+;  CONSP dom => dom
 ;  [$oldAxiomDomainDispatch,hashTypeForm(dom.0,0),:dom]
 
 (DEFUN |makeOldAxiomDispatchDomain| (|dom|)
   (declare (special |$oldAxiomDomainDispatch|))
   (COND
-    ((PAIRP |dom|) |dom|)
+    ((CONSP |dom|) |dom|)
     ('T
      (CONS |$oldAxiomDomainDispatch|
            (CONS (|hashTypeForm| (ELT |dom| 0) 0) |dom|)))))
@@ -948,21 +948,21 @@
                                      NIL))
                                (NREVERSE0 G166519))
                             (SEQ (EXIT (COND
-                                         ((AND (PAIRP |x|)
+                                         ((AND (CONSP |x|)
                                            (PROGN
                                              (SPADLET |sig| (QCAR |x|))
                                              (SPADLET |ISTMP#1|
                                               (QCDR |x|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (PROGN
                                                 (SPADLET |ISTMP#2|
                                                  (QCAR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
+                                                (AND (CONSP |ISTMP#2|)
                                                  (PROGN
                                                    (SPADLET |ISTMP#3|
                                                     (QCDR |ISTMP#2|))
                                                    (AND
-                                                    (PAIRP |ISTMP#3|)
+                                                    (CONSP |ISTMP#3|)
                                                     (EQ
                                                      (QCDR |ISTMP#3|)
                                                      NIL)
@@ -976,19 +976,19 @@
                                                 'T)))
                                            (|hasCorrectTarget| |m2|
                                             |sig|)
-                                           (PAIRP |sig|)
+                                           (CONSP |sig|)
                                            (PROGN
                                              (SPADLET |dc|
                                               (QCAR |sig|))
                                              (SPADLET |ISTMP#1|
                                               (QCDR |sig|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (PROGN
                                                 (SPADLET |targ|
                                                  (QCAR |ISTMP#1|))
                                                 (SPADLET |ISTMP#2|
                                                  (QCDR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
+                                                (AND (CONSP |ISTMP#2|)
                                                  (EQ (QCDR |ISTMP#2|)
                                                   NIL)
                                                  (PROGN
diff -Nru axiom-20110301a/src/interp/interp-proclaims.lisp axiom-20111101/src/interp/interp-proclaims.lisp
--- axiom-20110301a/src/interp/interp-proclaims.lisp	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/interp-proclaims.lisp	2011-12-01 04:03:16.000000000 +0000
@@ -108,6 +108,7 @@
             BOOT::APP BOOT::|appagg| BOOT::|binomialApp|
             BOOT::|charyTrouble1| BOOT::|appsub| BOOT::|slashApp|
             BOOT::|appsetq| BOOT::|makeStatString|
+            BOOT::|augModemapsFromCategory| 
             BOOT::|e02dffDefaultSolve| BOOT::|e04dgfDefaultSolve|
             BOOT::|e04fdfDefaultSolve| BOOT::|e04gcfDefaultSolve|
             BOOT::|f01refDefaultSolve| BOOT::|f01qefDefaultSolve|)) 
@@ -137,7 +138,7 @@
             BOOT::|d02rafDefaultSolve|)) 
 (PROCLAIM
     '(FTYPE (FUNCTION (T T T) T) BOOT::|mapRecurDepth| BOOT::THETACHECK
-            BOOT::|flowSegmentedMsg| BOOT::|rewriteMap0|
+            BOOT::|flowSegmentedMsg| BOOT::|rewriteMap0| BOOT::|genDomainView|
             BOOT::|restoreDependentMapInfo| BOOT::|dcSig|
             BOOT::|analyzeNonRecur| BOOT::|addMap| BOOT::|fortCall|
             BOOT::|axAddLiteral| BOOT::|writeStringLengths|
@@ -213,7 +214,7 @@
             BOOT::|Un2E| BOOT::|SUP2Up| BOOT::OV2OV
             BOOT::|insertAlist,fn| BOOT::|replaceVars|
             BOOT::|compFromIf| BOOT::|Scr2Scr| BOOT::|compBoolean|
-            BOOT::|L2Record| BOOT::|Rm2V| VMLISP:RPLNODE
+            BOOT::|L2Record| BOOT::|Rm2V|
             BOOT::|domain2NDmp| BOOT::|Up2Up|
             BOOT::|augLisplibModemapsFromCategory| BOOT::|P2Mp|
             BOOT::|compWithMappingMode,FreeList| BOOT::|orderPredTran|
@@ -456,7 +457,7 @@
             BOOT::|augmentMap| BOOT::|reportFunctionCompilation|
             BOOT::|putSrcPos| BOOT::|hasSigInTargetCategory,fn|
             BOOT::|encodeFunctionName| BOOT::|getArgValueComp2|
-            BOOT::|augModemapsFromCategory| BOOT::|compDefineFunctor1|
+            BOOT::|compDefineFunctor1|
             BOOT::|augModemapsFromCategoryRep|
             BOOT::|compDefineFunctor| BOOT::|processFunctor|
             BOOT::|buildFunctor| BOOT::|selectMmsGen,matchMms|
@@ -514,7 +515,7 @@
             BOOT::|compDefWhereClause,fetchType| BOOT::|compSubDomain1|
             BOOT::|putFileProperty| BOOT::|srcPosNew|
             BOOT::|substNames| BOOT::|mac0MLambdaApply|
-            BOOT::|mac0ExpandBody| BOOT::|genDomainView|
+            BOOT::|mac0ExpandBody| 
             BOOT::|getArgValue2| BOOT::|compFunctorBody|
             BOOT::|analyzeMap| BOOT::|defaultTarget|
             BOOT::|selectDollarMms| BOOT::|selectMmsGen|
@@ -637,7 +638,7 @@
             BOOT::|putMapCode|)) 
 (PROCLAIM
     '(FTYPE (FUNCTION (T T *) T) BOOT::|pfLeaf| BOOT::BPITRACE
-            VMLISP:|remove| VMLISP:RREAD VMLISP:REMOVEQ
+            VMLISP:|remove| VMLISP:RREAD 
             BOOT::MATCH-LISP-TAG VMLISP:NREMOVE VMLISP:NREMOVEQ
             BOOT::|tokConstruct| BOOT::|pfAdd|
             BOOT:|ByteFileReadLineIntoString| BOOT:MATCH-TOKEN)) 
@@ -2842,7 +2843,7 @@
             BOOT::|throwKeyedMsg| BOOT::|canCoerceExplicit2Mapping|
             BOOT::|term1RWall| BOOT::|absolutelyCannotCoerce|
             BOOT::|rassocSub| BOOT::|coerceOrConvertOrRetract|
-            VMLISP:NCONC2 BOOT::|term1RW| BOOT::|coerceOrRetract|
+            BOOT::|term1RW| BOOT::|coerceOrRetract|
             BOOT::|resolveTMTaggedUnion| BOOT::|canCoerceUnion|
             BOOT::|acceptableTypesToResolve1| BOOT::|canCoercePermute|
             BOOT::|computeTTTranspositions| BOOT::|resolveTM2|
@@ -2875,10 +2876,10 @@
             BOOT::|replaceLast| BOOT::|coerceIntTest| VMLISP:ADDOPTIONS
             BOOT::|isSubTowerOf| BOOT::|starstarcond| BOOT::|equalOne|
             VMLISP:|assoc| VMLISP:SETSIZE BOOT::|evalSharpOne|
-            VMLISP:EFFACE BOOT::|canCoerceCommute|
+            BOOT::|canCoerceCommute|
             BOOT::|clearDependentMaps| BOOT::|constantInDomain?|
             VMLISP:EMBED BOOT::|translateMpVars2PVars|
-            VMLISP:LEXGREATERP VMLISP:RPLPAIR
+            VMLISP:LEXGREATERP
             BOOT::|addDmpLikeTermsAsTarget| VMLISP:HPUT*
             BOOT::|genMpFromDmpTerm| VMLISP:STRING2ID-N
             BOOT::|htMakeTemplates,substLabel| BOOT::|doDoitButton|
diff -Nru axiom-20110301a/src/interp/i-output.lisp.pamphlet axiom-20111101/src/interp/i-output.lisp.pamphlet
--- axiom-20110301a/src/interp/i-output.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-output.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -59,10 +59,10 @@
   (PROG (|ISTMP#1|)
     (RETURN
       (PROGN
-        (OR (AND (PAIRP |u|)
+        (OR (AND (CONSP |u|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |u|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T))))
             (THROW '|outputFailure| '|outputFailure|))
         (PLUS 2 (|#| |u|))))))
@@ -119,14 +119,14 @@
     (RETURN
       (COND
         ((ATOM |u|) (|appChar| (|atom2String| |u|) |x| |y| |d|))
-        ((AND (PAIRP |u|)
+        ((AND (CONSP |u|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |u|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |op| (QCAR |ISTMP#1|)) 'T)))
               (PROGN
                 (SPADLET |ISTMP#2| (QCDR |u|))
-                (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                      (PROGN (SPADLET |a| (QCAR |ISTMP#2|)) 'T)))
               (SPADLET |s| (GETL |op| 'PREFIXOP)))
          (COND
@@ -136,10 +136,10 @@
            ('T
             (APP |a| (PLUS |x| (|#| |s|)) |y|
                  (|appChar| |s| |x| |y| |d|)))))
-        ((AND (PAIRP |u|)
+        ((AND (CONSP |u|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |u|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |id| (QCAR |ISTMP#1|)) 'T))))
          (COND
            ((SPADLET |fn| (GETL |id| 'APP))
@@ -309,7 +309,7 @@
 ;    x
 ;  x is [c,var,mode] and c in '(_pretend _: _:_: _@) =>
 ;    var := outputTran var
-;    if PAIRP var then var := ['PAREN,var]
+;    if CONSP var then var := ['PAREN,var]
 ;    ['CONCATB,var,c,obj2String prefix2String mode]
 ;  x is ['ADEF,vars,.,.,body] =>
 ;    vars :=
@@ -460,15 +460,15 @@
               (COND
                 ((BOOT-EQUAL |x| |$EmptyMode|) (|specialChar| '|quad|))
                 ('T |x|)))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |c| (QCAR |x|))
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |var| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |mode| (QCAR |ISTMP#2|))
@@ -476,7 +476,7 @@
                    (|member| |c| '(|pretend| |:| |::| @)))
               (SPADLET |var| (|outputTran| |var|))
               (COND
-                ((PAIRP |var|)
+                ((CONSP |var|)
                  (SPADLET |var| (CONS 'PAREN (CONS |var| NIL)))))
               (CONS 'CONCATB
                     (CONS |var|
@@ -484,21 +484,21 @@
                                 (CONS (|obj2String|
                                        (|prefix2String| |mode|))
                                       NIL)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'ADEF)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'ADEF)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |vars| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |ISTMP#4|
                                        (QCDR |ISTMP#3|))
-                                      (AND (PAIRP |ISTMP#4|)
+                                      (AND (CONSP |ISTMP#4|)
                                        (EQ (QCDR |ISTMP#4|) NIL)
                                        (PROGN
                                          (SPADLET |body|
@@ -506,59 +506,59 @@
                                          'T))))))))))
               (SPADLET |vars|
                        (COND
-                         ((AND (PAIRP |vars|) (EQ (QCDR |vars|) NIL)
+                         ((AND (CONSP |vars|) (EQ (QCDR |vars|) NIL)
                                (PROGN (SPADLET |x| (QCAR |vars|)) 'T))
                           |x|)
                          ('T (CONS '|Tuple| |vars|))))
               (|outputTran|
                   (CONS '+-> (CONS |vars| (CONS |body| NIL)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'MATRIX)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'MATRIX)
                    (PROGN (SPADLET |m| (QCDR |x|)) 'T))
               (|outputTranMatrix| |m|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|matrix|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|matrix|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCAR |ISTMP#2|) '|construct|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#3|))
                                       'T)))))))
-                   (PAIRP |c|) (EQ (QCAR |c|) 'COLLECT)
+                   (CONSP |c|) (EQ (QCAR |c|) 'COLLECT)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |c|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
                             'T)
-                          (PAIRP |ISTMP#2|)
+                          (CONSP |ISTMP#2|)
                           (PROGN
                             (SPADLET |d| (QCAR |ISTMP#2|))
                             (SPADLET |m| (QCDR |ISTMP#2|))
                             'T)
                           (PROGN (SPADLET |m| (NREVERSE |m|)) 'T)))
-                   (PAIRP |d|) (EQ (QCAR |d|) '|construct|)
+                   (CONSP |d|) (EQ (QCAR |d|) '|construct|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |d|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |e| (QCAR |ISTMP#1|)) 'T)))
-                   (PAIRP |e|) (EQ (QCAR |e|) 'COLLECT))
+                   (CONSP |e|) (EQ (QCAR |e|) 'COLLECT))
               (|outputTran|
                   (CONS 'COLLECT (APPEND |m| (CONS |e| NIL)))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'LIST)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'LIST)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (|outputTran|
                   (CONS 'BRACKET (CONS (CONS 'AGGLST |l|) NIL))))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'MAP)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'MAP)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (|outputMapTran| |l|))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|brace|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|brace|)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (CONS 'BRACE
                     (CONS (CONS 'AGGLST
@@ -579,19 +579,19 @@
                                          (CONS (|outputTran| |y|)
                                           G166621))))))))
                           NIL)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|return|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|return|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |l| (QCAR |ISTMP#1|)) 'T))))
               (CONS '|return| (CONS (|outputTran| |l|) NIL)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|return|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|return|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
               (CONS '|return| (|outputTran| |l|)))
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) '|construct|)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) '|construct|)
                    (PROGN (SPADLET |l| (QCDR |x|)) 'T))
               (CONS 'BRACKET
                     (CONS (CONS 'AGGLST
@@ -612,37 +612,37 @@
                                          (CONS (|outputTran| |y|)
                                           G166636))))))))
                           NIL)))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) '|$elt|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |domain| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (EQ (QCAR |ISTMP#3|) '|float|)))))))
                    (PROGN
                      (SPADLET |ISTMP#4| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#4|)
+                     (AND (CONSP |ISTMP#4|)
                           (PROGN
                             (SPADLET |x| (QCAR |ISTMP#4|))
                             (SPADLET |ISTMP#5| (QCDR |ISTMP#4|))
-                            (AND (PAIRP |ISTMP#5|)
+                            (AND (CONSP |ISTMP#5|)
                                  (PROGN
                                    (SPADLET |y| (QCAR |ISTMP#5|))
                                    (SPADLET |ISTMP#6| (QCDR |ISTMP#5|))
-                                   (AND (PAIRP |ISTMP#6|)
+                                   (AND (CONSP |ISTMP#6|)
                                     (EQ (QCDR |ISTMP#6|) NIL)
                                     (PROGN
                                       (SPADLET |z| (QCAR |ISTMP#6|))
                                       'T)))))))
                    (OR (BOOT-EQUAL |domain| |$DoubleFloat|)
-                       (AND (PAIRP |domain|) (EQ (QCDR |domain|) NIL)
+                       (AND (CONSP |domain|) (EQ (QCDR |domain|) NIL)
                             (EQ (QCAR |domain|) '|Float|)))
                    (INTEGERP |x|) (INTEGERP |y|) (INTEGERP |z|)
                    (> |z| 0)
@@ -664,11 +664,11 @@
                  (SPADLET |x| (CONS |op| |l|))))
               (COND
                 ((BOOT-EQUAL |op| 'LAMBDA-CLOSURE) '|Closure|)
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) '|break|)) '|break|)
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) 'SEGMENT)
+                ((AND (CONSP |x|) (EQ (QCAR |x|) '|break|)) '|break|)
+                ((AND (CONSP |x|) (EQ (QCAR |x|) 'SEGMENT)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |x|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
                  (SPADLET |a'| (|outputTran| |a|))
@@ -676,14 +676,14 @@
                    ((LISTP |a'|)
                     (SPADLET |a'| (CONS 'PAREN (CONS |a'| NIL)))))
                  (CONS 'SEGMENT (CONS |a'| NIL)))
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) 'SEGMENT)
+                ((AND (CONSP |x|) (EQ (QCAR |x|) 'SEGMENT)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |x|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |a| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |b| (QCAR |ISTMP#2|))
@@ -697,27 +697,27 @@
                    ((LISTP |b'|)
                     (SPADLET |b'| (CONS 'PAREN (CONS |b'| NIL)))))
                  (CONS 'SEGMENT (CONS |a'| (CONS |b'| NIL))))
-                ((OR (AND (PAIRP |op|) (EQ (QCAR |op|) '|$elt|)
+                ((OR (AND (CONSP |op|) (EQ (QCAR |op|) '|$elt|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |op|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |targ| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |fun| (QCAR |ISTMP#2|))
                                       'T))))))
-                     (AND (NULL |$InteractiveMode|) (PAIRP |op|)
+                     (AND (NULL |$InteractiveMode|) (CONSP |op|)
                           (EQ (QCAR |op|) '|elt|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |op|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |targ| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |fun| (QCAR |ISTMP#2|))
@@ -730,27 +730,27 @@
                  (CONS 'CONCAT
                        (CONS (|outputTran| (CONS |fun| |l|))
                              (CONS "$" (CONS |targ'| NIL)))))
-                ((OR (AND (PAIRP |x|) (EQ (QCAR |x|) '|$elt|)
+                ((OR (AND (CONSP |x|) (EQ (QCAR |x|) '|$elt|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |x|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |targ| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#2|))
                                       'T))))))
-                     (AND (NULL |$InteractiveMode|) (PAIRP |x|)
+                     (AND (NULL |$InteractiveMode|) (CONSP |x|)
                           (EQ (QCAR |x|) '|elt|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |x|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |targ| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#2|))
@@ -763,14 +763,14 @@
                  (CONS 'CONCAT
                        (CONS (|outputTran| |c|)
                              (CONS "$" (CONS |targ'| NIL)))))
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) '-)
+                ((AND (CONSP |x|) (EQ (QCAR |x|) '-)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |x|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |a| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |b| (QCAR |ISTMP#2|))
@@ -787,10 +787,10 @@
                        (CONS '+
                              (CONS |a|
                                    (CONS (CONS '- (CONS |b| NIL)) NIL))))))
-                   ((AND (PAIRP |b|) (EQ (QCAR |b|) '-)
+                   ((AND (CONSP |b|) (EQ (QCAR |b|) '-)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |b|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |c| (QCAR |ISTMP#1|))
@@ -800,35 +800,35 @@
                     (CONS '+
                           (CONS |a|
                                 (CONS (CONS '- (CONS |b| NIL)) NIL))))))
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) '**)
+                ((AND (CONSP |x|) (EQ (QCAR |x|) '**)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |x|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQUAL (QCAR |ISTMP#1|) '"%e")
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |foo1| (QCAR |ISTMP#2|))
                                       'T)))))
-                      (PAIRP |foo1|) (EQUAL (QCAR |foo1|) '"/")
+                      (CONSP |foo1|) (EQUAL (QCAR |foo1|) '"/")
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |foo1|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |foo2| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |foo3| (QCAR |ISTMP#2|))
                                       'T)))))
-                      (INTEGERP |foo3|) (PAIRP |foo2|)
+                      (INTEGERP |foo3|) (CONSP |foo2|)
                       (EQ (QCAR |foo2|) '|log|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |foo2|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |foo4| (QCAR |ISTMP#1|))
@@ -840,55 +840,55 @@
                     (CONS 'ROOT
                           (CONS (|outputTran| |foo4|)
                                 (CONS (|outputTran| |foo3|) NIL))))))
-                ((AND (PAIRP |x|) (EQ (QCAR |x|) '**)
+                ((AND (CONSP |x|) (EQ (QCAR |x|) '**)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |x|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQUAL (QCAR |ISTMP#1|) '"%e")
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |foo1| (QCAR |ISTMP#2|))
                                       'T)))))
-                      (PAIRP |foo1|)
+                      (CONSP |foo1|)
                       (PROGN
                         (SPADLET |op'| (QCAR |foo1|))
                         (SPADLET |ISTMP#1| (QCDR |foo1|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |foo2| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |foo3| (QCAR |ISTMP#2|))
                                       'T)))))
                       (BOOT-EQUAL |op'| "*")
-                      (OR (AND (PAIRP |foo3|) (EQ (QCAR |foo3|) '|log|)
+                      (OR (AND (CONSP |foo3|) (EQ (QCAR |foo3|) '|log|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCDR |foo3|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |foo4|
                                          (QCAR |ISTMP#1|))
                                         'T))))
-                          (AND (PAIRP |foo2|) (EQ (QCAR |foo2|) '|log|)
+                          (AND (CONSP |foo2|) (EQ (QCAR |foo2|) '|log|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCDR |foo2|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |foo4|
                                          (QCAR |ISTMP#1|))
                                         'T))))))
                  (COND
-                   ((AND (PAIRP |foo3|) (EQ (QCAR |foo3|) '|log|)
+                   ((AND (CONSP |foo3|) (EQ (QCAR |foo3|) '|log|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |foo3|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |foo4| (QCAR |ISTMP#1|))
@@ -926,18 +926,18 @@
                  (COND
                    ((BOOT-EQUAL |op| '*)
                     (COND
-                      ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
+                      ((AND (CONSP |l|) (EQ (QCDR |l|) NIL)
                             (PROGN (SPADLET |a| (QCAR |l|)) 'T))
                        (|outputTran| |a|))
-                      ((AND (PAIRP |l|)
+                      ((AND (CONSP |l|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCAR |l|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCAR |ISTMP#1|) '-)
                                    (PROGN
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |a| (QCAR |ISTMP#2|))
@@ -969,7 +969,7 @@
                                      (SETQ G166662
                                       (APPEND G166662
                                        (COND
-                                         ((AND (PAIRP |ss|)
+                                         ((AND (CONSP |ss|)
                                            (EQ (QCAR |ss|) '*)
                                            (PROGN
                                              (SPADLET |ll| (QCDR |ss|))
@@ -978,7 +978,7 @@
                                          ('T (CONS |ss| NIL))))))))))))))
                    ((BOOT-EQUAL |op| '+)
                     (COND
-                      ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
+                      ((AND (CONSP |l|) (EQ (QCDR |l|) NIL)
                             (PROGN (SPADLET |a| (QCAR |l|)) 'T))
                        (|outputTran| |a|))
                       ('T
@@ -998,7 +998,7 @@
                                      (SETQ G166675
                                       (APPEND G166675
                                        (COND
-                                         ((AND (PAIRP |ss|)
+                                         ((AND (CONSP |ss|)
                                            (EQ (QCAR |ss|) '+)
                                            (PROGN
                                              (SPADLET |ll| (QCDR |ss|))
@@ -1011,11 +1011,11 @@
                            '|horizontal|)
                        (SPADLET |op| 'SLASH)
                        (COND
-                         ((AND (PAIRP |l|)
+                         ((AND (CONSP |l|)
                                (PROGN
                                  (SPADLET |a| (QCAR |l|))
                                  (SPADLET |ISTMP#1| (QCDR |l|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |b| (QCAR |ISTMP#1|))
@@ -1033,15 +1033,15 @@
                          ('T (BREAK))))
                       ('T (SPADLET |op| 'OVER)
                        (COND
-                         ((AND (PAIRP |l|)
+                         ((AND (CONSP |l|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCAR |l|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCAR |ISTMP#1|) '-)
                                       (PROGN
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (SPADLET |a|
@@ -1053,17 +1053,17 @@
                                     (CONS (CONS |op| (CONS |a| |b|))
                                      NIL))))
                          ('T (CONS (|outputTran| |op|) |l|))))))
-                   ((AND (BOOT-EQUAL |op| '|\||) (PAIRP |l|)
+                   ((AND (BOOT-EQUAL |op| '|\||) (CONSP |l|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCAR |l|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCAR |ISTMP#1|) '|Tuple|)
                                 (PROGN
                                   (SPADLET |u| (QCDR |ISTMP#1|))
                                   'T)))
                          (PROGN
                            (SPADLET |ISTMP#2| (QCDR |l|))
-                           (AND (PAIRP |ISTMP#2|)
+                           (AND (CONSP |ISTMP#2|)
                                 (EQ (QCDR |ISTMP#2|) NIL)
                                 (PROGN
                                   (SPADLET |pred| (QCAR |ISTMP#2|))
@@ -1164,13 +1164,13 @@
              (SPADLET |exitform| (CAR |LETTMP#1|))
              (SPADLET |l| (NREVERSE (CDR |LETTMP#1|)))
              (COND
-               ((AND (PAIRP |exitform|) (EQ (QCAR |exitform|) '|exit|)
+               ((AND (CONSP |exitform|) (EQ (QCAR |exitform|) '|exit|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |exitform|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |a| (QCAR |ISTMP#2|))
@@ -1393,18 +1393,18 @@
                 |s| |ISTMP#1| |p| |op|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'STEP)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'STEP)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |n| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |init| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (PROGN
                                      (SPADLET |step| (QCAR |ISTMP#3|))
                                      (SPADLET |final| (QCDR |ISTMP#3|))
@@ -1429,22 +1429,22 @@
                (CONS (|outputTran| |n|)
                      (CONS |init'|
                            (CONS (|outputTran| |step|) |final'|)))))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'IN)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'IN)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |n| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |s| (QCAR |ISTMP#2|)) 'T))))))
          (CONS 'IN
                (CONS (|outputTran| |n|) (CONS (|outputTran| |s|) NIL))))
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |op| (QCAR |x|))
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |p| (QCAR |ISTMP#1|)) 'T)))
               (|member| |op| '(|\|| UNTIL WHILE)))
          (SPADLET |op| (DOWNCASE |op|))
@@ -1475,22 +1475,22 @@
   (PROG (|op| |ISTMP#2| |a| |b| |ISTMP#1| |c| |aPart| |l|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |op| (QCAR |x|))
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) 'T))))))
          (SPADLET |a| (|outputTran| |a|))
          (SPADLET |b| (|outputTran| |b|))
          (COND
            ((BOOT-EQUAL |op| '|cons|)
             (COND
-              ((AND (PAIRP |b|) (EQ (QCAR |b|) '|construct|)
+              ((AND (CONSP |b|) (EQ (QCAR |b|) '|construct|)
                     (PROGN (SPADLET |l| (QCDR |b|)) 'T))
                (CONS '|construct| (CONS |a| |l|)))
               ('T
@@ -1503,19 +1503,19 @@
            ((BOOT-EQUAL |op| '|nconc|)
             (SPADLET |aPart|
                      (COND
-                       ((AND (PAIRP |a|) (EQ (QCAR |a|) '|construct|)
+                       ((AND (CONSP |a|) (EQ (QCAR |a|) '|construct|)
                              (PROGN
                                (SPADLET |ISTMP#1| (QCDR |a|))
-                               (AND (PAIRP |ISTMP#1|)
+                               (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#1|))
                                       'T)))
-                             (PAIRP |c|) (EQ (QCAR |c|) 'SEGMENT))
+                             (CONSP |c|) (EQ (QCAR |c|) 'SEGMENT))
                         |c|)
                        ('T (CONS '|:| (CONS |a| NIL)))))
             (COND
-              ((AND (PAIRP |b|) (EQ (QCAR |b|) '|construct|)
+              ((AND (CONSP |b|) (EQ (QCAR |b|) '|construct|)
                     (PROGN (SPADLET |l| (QCDR |b|)) 'T))
                (CONS '|construct| (CONS |aPart| |l|)))
               ('T
@@ -2384,25 +2384,25 @@
   (PROG (|argl| |a| |op| |n| |m|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'REDUCE))
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'REDUCE))
          (COND
            ((BOOT-EQUAL |key| '|left|) 130)
            ((BOOT-EQUAL |key| '|right|) 0)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'REPEAT))
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'REPEAT))
          (COND
            ((BOOT-EQUAL |key| '|left|) 130)
            ((BOOT-EQUAL |key| '|right|) 0)))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'COND))
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'COND))
          (COND
            ((BOOT-EQUAL |key| '|left|) 130)
            ((BOOT-EQUAL |key| '|right|) 0)))
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |op| (QCAR |x|))
                 (SPADLET |argl| (QCDR |x|))
                 'T))
          (COND
-           ((AND (PAIRP |op|) (PROGN (SPADLET |a| (QCAR |op|)) 'T))
+           ((AND (CONSP |op|) (PROGN (SPADLET |a| (QCAR |op|)) 'T))
             (SPADLET |op| |a|)))
          (COND
            ((BOOT-EQUAL |op| 'SLASH)
@@ -2474,10 +2474,10 @@
   (PROG (|ISTMP#1|)
     (RETURN
       (PROGN
-        (OR (AND (PAIRP |u|)
+        (OR (AND (CONSP |u|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |u|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T))))
             (THROW '|outputFailure| '|outputFailure|))
         (SPADLET |d| (|appChar| (|specialChar| '|lbrk|) |x| |y| |d|))
@@ -2496,10 +2496,10 @@
   (PROG (|ISTMP#1|)
     (RETURN
       (PROGN
-        (OR (AND (PAIRP |u|)
+        (OR (AND (CONSP |u|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |u|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T))))
             (THROW '|outputFailure| '|outputFailure|))
         (SPADLET |d| (|appChar| (|specialChar| '|lbrc|) |x| |y| |d|))
@@ -2518,7 +2518,7 @@
       (SEQ (COND
              ((PROGN
                 (SPADLET |ISTMP#1| (CDR |u|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |l| (QCDR |ISTMP#1|))
@@ -2564,7 +2564,7 @@
     (RETURN
       (SEQ (PROGN
              (COND
-               ((AND (PAIRP |u|)
+               ((AND (CONSP |u|)
                      (PROGN
                        (SPADLET |a| (QCAR |u|))
                        (SPADLET |l| (QCDR |u|))
@@ -2697,10 +2697,10 @@
         ((ATOM |u|) (|#| (|atom2String| |u|)))
         ((PROGN
            (SPADLET |ISTMP#1| (|putWidth| |u|))
-           (AND (PAIRP |ISTMP#1|)
+           (AND (CONSP |ISTMP#1|)
                 (PROGN
                   (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                  (AND (PAIRP |ISTMP#2|)
+                  (AND (CONSP |ISTMP#2|)
                        (PROGN (SPADLET |n| (QCDR |ISTMP#2|)) 'T)))))
          |n|)
         ('T (THROW '|outputFailure| '|outputFailure|))))))
@@ -2745,10 +2745,10 @@
     (RETURN
       (SEQ (COND
              ((OR (ATOM |u|)
-                  (AND (PAIRP |u|)
+                  (AND (CONSP |u|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCAR |u|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |n| (QCDR |ISTMP#1|))
                                 'T)))
@@ -2762,7 +2762,7 @@
                        (COND ((GETL |firstEl| 'INFIXOP) 0) ('T 1)))
               (SPADLET |argsWidth|
                        (COND
-                         ((AND (PAIRP |l|)
+                         ((AND (CONSP |l|)
                                (PROGN
                                  (SPADLET |firstArg| (QCAR |l|))
                                  (SPADLET |restArg| (QCDR |l|))
@@ -2983,14 +2983,14 @@
         ((AND (ATOM |x|) (SPADLET |u| (|assoc| |x| |$MatrixList|)))
          (SPADLET |$MatrixList| (|delete| |u| |$MatrixList|))
          (|maPrin| (|deMatrix| (CDR |u|))))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '=)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '=)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |arg| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) 'T))))))
          (COND
            ((SPADLET |u| (|assoc| |y| |$MatrixList|))
@@ -2999,20 +2999,20 @@
                 (CONS '=
                       (CONS |arg| (CONS (|deMatrix| (CDR |u|)) NIL)))))
            ('T (|maPrin| |x|))))
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'EQUATNUM)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'EQUATNUM)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |n| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) 'T))))))
          (COND
-           ((AND (PAIRP |$MatrixList|) (EQ (QCDR |$MatrixList|) NIL)
+           ((AND (CONSP |$MatrixList|) (EQ (QCDR |$MatrixList|) NIL)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCAR |$MatrixList|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |name| (QCAR |ISTMP#1|))
                           (SPADLET |value| (QCDR |ISTMP#1|))
@@ -3270,13 +3270,13 @@
   (PROG (|op| |r|)
     (RETURN
       (COND
-        ((AND (PAIRP |u|)
+        ((AND (CONSP |u|)
               (PROGN
                 (SPADLET |op| (QCAR |u|))
                 (SPADLET |r| (QCDR |u|))
                 'T))
          (COND
-           ((AND (PAIRP |op|) (EQ (QCAR |op|) 'MATRIX))
+           ((AND (CONSP |op|) (EQ (QCAR |op|) 'MATRIX))
             (|deMatrix| |u|))
            ('T (OR (|largeMatrixAlist| |op|) (|largeMatrixAlist| |r|)))))
         ('T NIL)))))
@@ -3404,7 +3404,7 @@
   (PROG (|a| |b| |res| |tail|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |a| (QCAR |u|))
                      (SPADLET |b| (QCDR |u|))
@@ -3453,14 +3453,14 @@
   (PROG (|ISTMP#1| |bot| |ISTMP#2| |arg|)
     (RETURN
       (PROGN
-        (OR (AND (PAIRP |u|)
+        (OR (AND (CONSP |u|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |u|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |bot| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN
                                  (SPADLET |arg| (QCAR |ISTMP#2|))
@@ -3682,14 +3682,14 @@
   (PROG (|ISTMP#1| |bot| |ISTMP#2| |arg|)
     (RETURN
       (PROGN
-        (OR (AND (PAIRP |u|)
+        (OR (AND (CONSP |u|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |u|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |bot| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN
                                  (SPADLET |arg| (QCAR |ISTMP#2|))
@@ -4314,10 +4314,10 @@
                        (CONS "output:   " NIL)))
            (SPADCALL (SPADCALL |textwrit|) |expr| |printfun|)
            (|sayMSGNT| '|%l|))
-          ((AND (PAIRP |domain|) (EQ (QCAR |domain|) '|Tuple|)
+          ((AND (CONSP |domain|) (EQ (QCAR |domain|) '|Tuple|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |domain|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET S (QCAR |ISTMP#1|)) 'T))))
            (|output| (|asTupleAsList| |expr|)
                (CONS '|List| (CONS S NIL))))
@@ -4509,7 +4509,7 @@
     (DECLARE (SPECIAL |$OutputForm|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |op| (QCAR |form|))
                      (SPADLET |argl| (QCDR |form|))
@@ -4575,7 +4575,7 @@
   (PROG (|op| |args| |n| |newop|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |args| (QCDR |x|))
@@ -4615,16 +4615,16 @@
              (|printBasic| (|specialChar| '|lbrk|))
              (SPADLET |initialFlag| (|isInitialMap| |u|))
              (COND
-               ((AND (PAIRP |u|)
+               ((AND (CONSP |u|)
                      (PROGN
                        (SPADLET |x| (QCAR |u|))
                        (SPADLET |l| (QCDR |u|))
                        'T))
                 (|printMap1| |x|
-                    (AND |initialFlag| (PAIRP |x|)
+                    (AND |initialFlag| (CONSP |x|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCAR |x|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |n| (QCAR |ISTMP#1|))
@@ -4650,20 +4650,20 @@
 (DEFUN |isInitialMap| (|u|)
   (PROG (|n| |ISTMP#3| |l| |ISTMP#1| |ISTMP#2|)
     (RETURN
-      (SEQ (AND (PAIRP |u|)
+      (SEQ (AND (CONSP |u|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |u|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (PROGN
                                 (SPADLET |n| (QCAR |ISTMP#2|))
                                 'T)))
                        (PROGN
                          (SPADLET |ISTMP#3| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#3|)
+                         (AND (CONSP |ISTMP#3|)
                               (EQ (QCDR |ISTMP#3|) NIL)))))
                 (PROGN (SPADLET |l| (QCDR |u|)) 'T) (INTEGERP |n|)
                 (PROG (G169051)
@@ -4677,18 +4677,18 @@
                          G169051)
                       (SEQ (EXIT (SETQ G169051
                                        (AND G169051
-                                        (AND (PAIRP |x|)
+                                        (AND (CONSP |x|)
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (QCAR |x|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (EQ (QCDR |ISTMP#1|) NIL)
                                             (EQUAL (QCAR |ISTMP#1|)
                                              |i|)))
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCDR |x|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL))))))))))))))))
 
 ;printMap1(x,initialFlag) ==
@@ -4766,12 +4766,12 @@
     (DECLARE (SPECIAL |$testOutputLineList| |$testOutputLineFlag|))
     (RETURN
       (SEQ (COND
-             ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) 'SC)
+             ((OR (AND (CONSP |u|) (EQ (QCAR |u|) 'SC)
                        (PROGN (SPADLET |l| (QCDR |u|)) 'T))
-                  (AND (PAIRP |u|)
+                  (AND (CONSP |u|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCAR |u|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) 'SC)))
                        (PROGN (SPADLET |l| (QCDR |u|)) 'T)))
               (DO ((G169131 |l| (CDR G169131)) (|a| NIL))
@@ -4780,24 +4780,24 @@
                    NIL)
                 (SEQ (EXIT (|charyTop| |a| |start| |linelength|))))
               " ")
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) 'CONCATB)))
                    (PROGN
                      (SPADLET |ISTMP#2| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#2|)
+                     (AND (CONSP |ISTMP#2|)
                           (PROGN
                             (SPADLET |ISTMP#3| (REVERSE |ISTMP#2|))
                             'T)
-                          (PAIRP |ISTMP#3|)
+                          (CONSP |ISTMP#3|)
                           (PROGN
                             (SPADLET |ISTMP#4| (QCAR |ISTMP#3|))
-                            (AND (PAIRP |ISTMP#4|)
+                            (AND (CONSP |ISTMP#4|)
                                  (PROGN
                                    (SPADLET |ISTMP#5| (QCAR |ISTMP#4|))
-                                   (AND (PAIRP |ISTMP#5|)
+                                   (AND (CONSP |ISTMP#5|)
                                     (EQ (QCAR |ISTMP#5|) 'SC)))
                                  (PROGN
                                    (SPADLET |l| (QCDR |ISTMP#4|))
@@ -4807,10 +4807,10 @@
               (|charyTop| (CONS 'CONCATB |m|) |start| |linelength|)
               (|charyTop| (CONS 'SC |l|) (PLUS |start| 2)
                           (SPADDIFFERENCE |linelength| 2)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'CENTER)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'CENTER)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) 'T))))
               (SPADLET |b| (|charyTopWidth| |a|))
               (COND
@@ -4893,13 +4893,13 @@
   (PROG (|op| |r| |op1| |r1|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |op| (QCAR |u|))
                      (SPADLET |r| (QCDR |u|))
                      'T))
               (COND
-                ((AND (PAIRP |op|) (EQ (QCAR |op|) 'MATRIX)
+                ((AND (CONSP |op|) (EQ (QCAR |op|) 'MATRIX)
                       (BOOT-EQUAL |u| |m|))
                  |m1|)
                 ('T (SPADLET |op1| (|sublisMatAlist| |m| |m1| |op|))
@@ -4998,15 +4998,15 @@
          (COND
            ((PROGN
               (SPADLET |ISTMP#1| (CDR |v|))
-              (AND (PAIRP |ISTMP#1|)
+              (AND (CONSP |ISTMP#1|)
                    (PROGN
                      (SPADLET |loop| (QCAR |ISTMP#1|))
                      (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                     (AND (PAIRP |ISTMP#2|)
+                     (AND (CONSP |ISTMP#2|)
                           (EQ (QCAR |ISTMP#2|) '|repeat|)
                           (PROGN
                             (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                            (AND (PAIRP |ISTMP#3|)
+                            (AND (CONSP |ISTMP#3|)
                                  (EQ (QCDR |ISTMP#3|) NIL)
                                  (PROGN
                                    (SPADLET |body| (QCAR |ISTMP#3|))
@@ -5018,20 +5018,20 @@
                 (SPADDIFFERENCE |linelength| 2)))
            ((AND (PROGN
                    (SPADLET |ISTMP#1| (CDR |v|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |wu| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |loop| (QCAR |ISTMP#2|))
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCAR |ISTMP#3|) '|repeat|)
                                       (PROGN
                                         (SPADLET |ISTMP#4|
                                          (QCDR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
+                                        (AND (CONSP |ISTMP#4|)
                                          (EQ (QCDR |ISTMP#4|) NIL)
                                          (PROGN
                                            (SPADLET |body|
@@ -5039,15 +5039,15 @@
                                            'T)))))))))
                  (PROGN
                    (SPADLET |ISTMP#1| (|keyp| |wu|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (EQ (QCAR |ISTMP#1|) 'CONCATB)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |wu'| (QCAR |ISTMP#2|))
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)))))))
                  (|member| |wu'| '(|while| |until|)))
             (|charyTop|
@@ -5851,18 +5851,18 @@
         (SPADLET |numw| (WIDTH (SPADLET |num| (CADR |u|))))
         (SPADLET |denw| (WIDTH (SPADLET |den| (CADDR |u|))))
         (COND
-          ((AND (PAIRP |num|)
+          ((AND (CONSP |num|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |num|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN (SPADLET |op| (QCAR |ISTMP#1|)) 'T)))
                 (BOOT-EQUAL |op| 'OVER))
            (SPADLET |numw| (PLUS |numw| 2))))
         (COND
-          ((AND (PAIRP |den|)
+          ((AND (CONSP |den|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCAR |den|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN (SPADLET |op| (QCAR |ISTMP#1|)) 'T)))
                 (BOOT-EQUAL |op| 'OVER))
            (SPADLET |denw| (PLUS |denw| 2))))
@@ -7485,31 +7485,31 @@
            ((NEQUAL |c| '|outputFailure|) |c|)
            ('T (|sayKeyedMsg| 'S2IX0009 NIL)
             (COND
-              ((OR (AND (PAIRP |u|) (EQ (QCAR |u|) 'EQUATNUM)
+              ((OR (AND (CONSP |u|) (EQ (QCAR |u|) 'EQUATNUM)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCDR |u|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (PROGN
                                  (SPADLET |num| (QCAR |ISTMP#1|))
                                  (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                 (AND (PAIRP |ISTMP#2|)
+                                 (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |form|
                                          (QCAR |ISTMP#2|))
                                         'T))))))
-                   (AND (PAIRP |u|)
+                   (AND (CONSP |u|)
                         (PROGN
                           (SPADLET |ISTMP#1| (QCAR |u|))
-                          (AND (PAIRP |ISTMP#1|)
+                          (AND (CONSP |ISTMP#1|)
                                (EQ (QCAR |ISTMP#1|) 'EQUATNUM)))
                         (PROGN
                           (SPADLET |ISTMP#2| (QCDR |u|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |num| (QCAR |ISTMP#2|))
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |form|
diff -Nru axiom-20110301a/src/interp/i-resolv.lisp.pamphlet axiom-20111101/src/interp/i-resolv.lisp.pamphlet
--- axiom-20110301a/src/interp/i-resolv.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-resolv.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -74,17 +74,17 @@
   (PROG (|tail| |ISTMP#1| |v| |allVars| |a|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |a| (QCAR |u|))
                      (SPADLET |tail| (QCDR |u|))
                      'T))
               (SPADLET |allVars|
                        (COND
-                         ((AND (PAIRP |a|) (EQ (QCAR |a|) '|Variable|)
+                         ((AND (CONSP |a|) (EQ (QCAR |a|) '|Variable|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCDR |a|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |v| (QCAR |ISTMP#1|))
@@ -97,12 +97,12 @@
                    NIL)
                 (SEQ (EXIT (SPADLET |allVars|
                                     (COND
-                                      ((AND (PAIRP |b|)
+                                      ((AND (CONSP |b|)
                                         (EQ (QCAR |b|) '|Variable|)
                                         (PROGN
                                           (SPADLET |ISTMP#1|
                                            (QCDR |b|))
-                                          (AND (PAIRP |ISTMP#1|)
+                                          (AND (CONSP |ISTMP#1|)
                                            (EQ (QCDR |ISTMP#1|) NIL)
                                            (PROGN
                                              (SPADLET |v|
@@ -206,9 +206,9 @@
         ((OR (BOOT-EQUAL |t1| |$Any|) (BOOT-EQUAL |t2| |$Any|)) |$Any|)
         ((BOOT-EQUAL |t1| '(|Exit|)) |t2|)
         ((BOOT-EQUAL |t2| '(|Exit|)) |t1|)
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Union|))
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Union|))
          (|resolveTTUnion| |t1| |t2|))
-        ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Union|))
+        ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Union|))
          (|resolveTTUnion| |t2| |t1|))
         ((STRINGP |t1|)
          (COND ((BOOT-EQUAL |t2| |$String|) |t2|) ('T NIL)))
@@ -349,7 +349,7 @@
                         ((AND |doms|
                               (PROGN
                                 (SPADLET |ISTMP#1| (CAR |doms|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) '|:|))))
                          (SPADLET |tagged| 'T)
                          (PROG (G166204)
@@ -376,7 +376,7 @@
              (COND
                ((|member| |t2| |unionDoms1|) |t1|)
                (|tagged| NIL)
-               ((NULL (AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Union|)
+               ((NULL (AND (CONSP |t2|) (EQ (QCAR |t2|) '|Union|)
                            (PROGN (SPADLET |doms2| (QCDR |t2|)) 'T)))
                 (SPADLET |ud| NIL) (SPADLET |bad| NIL)
                 (DO ((G166221 |doms| (CDR G166221)) (|d| NIL))
@@ -416,7 +416,7 @@
 ;  -- rest of the resolve world. I'll leave it for Albi to fix those
 ;  -- things. (RSS 1/-86)
 ;  -- following is just an efficiency hack
-;  (t1 = '(Symbol) or t1 is ['OrderedVariableList,.]) and PAIRP(t2) and
+;  (t1 = '(Symbol) or t1 is ['OrderedVariableList,.]) and CONSP(t2) and
 ;    CAR(t2) in '(Polynomial RationalFunction) => t2
 ;  (t1 = '(Symbol)) and ofCategory(t2, '(IntegerNumberSystem)) =>
 ;    resolveTT1(['Polynomial, t2], t2)
@@ -504,13 +504,13 @@
     (RETURN
       (COND
         ((AND (OR (BOOT-EQUAL |t1| '(|Symbol|))
-                  (AND (PAIRP |t1|)
+                  (AND (CONSP |t1|)
                        (EQ (QCAR |t1|) '|OrderedVariableList|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |t1|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCDR |ISTMP#1|) NIL)))))
-              (PAIRP |t2|)
+              (CONSP |t2|)
               (|member| (CAR |t2|) '(|Polynomial| |RationalFunction|)))
          |t2|)
         ((AND (BOOT-EQUAL |t1| '(|Symbol|))
@@ -526,53 +526,53 @@
                   (BOOT-EQUAL |t2|
                       (CONS '|Complex| (CONS |$DoubleFloat| NIL)))))
          (CONS '|Expression| (CONS (CADR |t2|) NIL)))
-        ((AND (BOOT-EQUAL |t1| '(|AlgebraicNumber|)) (PAIRP |t2|)
+        ((AND (BOOT-EQUAL |t1| '(|AlgebraicNumber|)) (CONSP |t2|)
               (EQ (QCAR |t2|) '|Complex|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t2|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
          (|resolveTT1| '(|Expression| (|Integer|)) |t2|))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|SimpleAlgebraicExtension|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|SimpleAlgebraicExtension|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET F (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |Rep| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |poly| (QCAR |ISTMP#3|))
                                      'T))))))))
          (COND
            ((BOOT-EQUAL |t2| |Rep|) |t1|)
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|UnivariatePolynomial|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|UnivariatePolynomial|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |x| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN (SPADLET R (QCAR |ISTMP#2|)) 'T)))))
                  (SPADLET |t3| (|resolveTT| |t1| R)))
             (CONS '|UnivariatePolynomial| (CONS |x| (CONS |t3| NIL))))
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Variable|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Variable|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T)))
                  (SPADLET |t3| (|resolveTT| |t1| F)))
             (CONS '|UnivariatePolynomial| (CONS |x| (CONS |t3| NIL))))
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Polynomial|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Polynomial|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET R (QCAR |ISTMP#1|)) 'T)))
                  (SPADLET |R'| (|resolveTT| |Rep| |t2|)))
             (COND
@@ -586,41 +586,41 @@
         ((AND (BOOT-EQUAL |t1| |$NonNegativeInteger|)
               (|ofCategory| |t2| '(|Ring|)))
          (|resolveTT1| |$Integer| |t2|))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|OrderedVariableList|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|OrderedVariableList|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |x| (QCAR |ISTMP#2|)) 'T))))))
          (|resolveTTSpecial| (CONS '|Variable| (CONS |x| NIL)) |t2|))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|OrderedVariableList|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|OrderedVariableList|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |vl| (QCAR |ISTMP#1|)) 'T))))
          (COND
            ((|ofCategory| |t2| '(|Ring|))
             (|resolveTT| (CONS '|Polynomial| (CONS '(|Integer|) NIL))
                 |t2|))
            ('T (|resolveTT| |$Symbol| |t2|))))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Variable|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Variable|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T))))
          (COND
            ((EQCAR |t2| '|SimpleAlgebraicExtension|)
             (|resolveTTSpecial| |t2| |t1|))
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|UnivariatePolynomial|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|UnivariatePolynomial|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |y| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN (SPADLET S (QCAR |ISTMP#2|)) 'T))))))
             (COND
@@ -630,22 +630,22 @@
                    (CONS '|UnivariatePolynomial|
                          (CONS |x| (CONS '(|Integer|) NIL)))
                    |t2|))))
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Variable|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Variable|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
             (COND ((BOOT-EQUAL |x| |y|) |t1|) ('T |$Symbol|)))
            ((BOOT-EQUAL |t2| '(|Symbol|)) |t2|)
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Polynomial|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Polynomial|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
             |t2|)
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|OrderedVariableList|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|OrderedVariableList|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |vl| (QCAR |ISTMP#1|)) 'T)))
                  (|member| |x| |vl|))
             |t2|)
@@ -655,42 +655,42 @@
            ('T
             (|resolveTT| (CONS '|Polynomial| (CONS '(|Integer|) NIL))
                 |t2|))))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|FunctionCalled|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|FunctionCalled|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |f| (QCAR |ISTMP#1|)) 'T)))
-              (PAIRP |t2|) (EQ (QCAR |t2|) '|FunctionCalled|)
+              (CONSP |t2|) (EQ (QCAR |t2|) '|FunctionCalled|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t2|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |g| (QCAR |ISTMP#1|)) 'T))))
          (COND
            ((NULL (SPADLET |mf| (|get| |f| '|mode| |$e|))) NIL)
            ((NULL (SPADLET |mg| (|get| |g| '|mode| |$e|))) NIL)
            ((NEQUAL |mf| |mg|) NIL)
            ('T |mf|)))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|UnivariatePolynomial|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|UnivariatePolynomial|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |x| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET S (QCAR |ISTMP#2|)) 'T))))))
          (COND
            ((EQCAR |t2| '|Variable|) (|resolveTTSpecial| |t2| |t1|))
            ((EQCAR |t2| '|SimpleAlgebraicExtension|)
             (|resolveTTSpecial| |t2| |t1|))
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|UnivariatePolynomial|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|UnivariatePolynomial|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |y| (QCAR |ISTMP#1|))
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQ (QCDR |ISTMP#2|) NIL)
                                (PROGN
                                  (SPADLET T$ (QCAR |ISTMP#2|))
@@ -700,67 +700,67 @@
            ('T NIL)))
         ((BOOT-EQUAL |t1| '(|Pi|))
          (COND
-           ((AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Complex|)
+           ((AND (CONSP |t2|) (EQ (QCAR |t2|) '|Complex|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t2|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN (SPADLET |d| (QCAR |ISTMP#1|)) 'T))))
             (|defaultTargetFE| |t2|))
-           ((AND (PAIRP |t2|) (EQ (QCDR |t2|) NIL)
+           ((AND (CONSP |t2|) (EQ (QCDR |t2|) NIL)
                  (EQ (QCAR |t2|) '|AlgebraicNumber|))
             (|defaultTargetFE| |t2|))
            ((OR (EQCAR |t2| '|Variable|) (BOOT-EQUAL |t2| |$Symbol|))
             (|defaultTargetFE| |$Symbol|))
-           ((OR (AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Polynomial|)
+           ((OR (AND (CONSP |t2|) (EQ (QCAR |t2|) '|Polynomial|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |t2|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQ (QCDR |ISTMP#1|) NIL))))
-                (AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Fraction|)
+                (AND (CONSP |t2|) (EQ (QCAR |t2|) '|Fraction|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |t2|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCAR |ISTMP#2|) '|Polynomial|)
                                    (PROGN
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)))))))))
             (|defaultTargetFE| |t2|))
            ('T NIL)))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Polynomial|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Polynomial|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (EQ (QCAR |ISTMP#2|) '|Complex|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)
                                    (PROGN
                                      (SPADLET |u1| (QCAR |ISTMP#3|))
                                      'T)))))))
-              (PAIRP |t2|) (EQ (QCAR |t2|) '|Complex|)
+              (CONSP |t2|) (EQ (QCAR |t2|) '|Complex|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t2|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |u2| (QCAR |ISTMP#1|)) 'T))))
          (|resolveTT1| |t1| |u2|))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Polynomial|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Polynomial|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET R (QCAR |ISTMP#1|)) 'T)))
-              (PAIRP |t2|) (EQ (QCAR |t2|) '|Complex|)
+              (CONSP |t2|) (EQ (QCAR |t2|) '|Complex|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t2|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET S (QCAR |ISTMP#1|)) 'T))))
          (COND
            ((|containsPolynomial| S)
@@ -772,29 +772,29 @@
             (CONS '|Polynomial|
                   (CONS (CONS '|Complex| (CONS (|resolveTT1| R S) NIL))
                         NIL)))))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Expression|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Expression|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET R (QCAR |ISTMP#1|)) 'T)))
-              (PAIRP |t2|) (EQ (QCAR |t2|) '|Complex|)
+              (CONSP |t2|) (EQ (QCAR |t2|) '|Complex|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t2|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET S (QCAR |ISTMP#1|)) 'T))))
          (SPADLET |dom'| (|resolveTT| R |t2|))
          (COND
            ((NULL |dom'|) NIL)
            ('T (CONS '|Expression| (CONS |dom'| NIL)))))
-        ((AND (PAIRP |t1|) (EQ (QCAR |t1|) '|Segment|)
+        ((AND (CONSP |t1|) (EQ (QCAR |t1|) '|Segment|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t1|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |dom| (QCAR |ISTMP#1|)) 'T)))
-              (NULL (AND (PAIRP |t2|) (EQ (QCAR |t2|) '|Segment|)
+              (NULL (AND (CONSP |t2|) (EQ (QCAR |t2|) '|Segment|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |t2|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL))))))
          (SPADLET |dom'| (|resolveTT| |dom| |t2|))
          (COND
@@ -1090,14 +1090,14 @@
     (RETURN
       (SEQ (COND
              ((ATOM |t|) |t|)
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Resolve|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Resolve|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -1105,40 +1105,40 @@
               (AND (SPADLET |t1| (|resolveTTRed3| |a|))
                    (SPADLET |t2| (|resolveTTRed3| |b|))
                    (|resolveTT1| |t1| |t2|)))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Incl|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Incl|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (AND (|member| |a| |b|) |b|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetDiff|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetDiff|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (AND (|intersection| |a| |b|) (SETDIFFERENCE |a| |b|)))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetComp|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetComp|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -1154,53 +1154,53 @@
                          (SEQ (EXIT (SETQ G166903
                                      (AND G166903 (|member| |x| |a|))))))))
                    (SETDIFFERENCE |a| |b|)))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetInter|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetInter|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (|intersection| |a| |b|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetUnion|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetUnion|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (|union| |a| |b|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|VarEqual|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|VarEqual|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (AND (BOOT-EQUAL |a| |b|) |a|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetEqual|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetEqual|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -1249,11 +1249,11 @@
                                       G166950)))))))))))))
 
 ;interpOp?(op) ==
-;  PAIRP(op) and
+;  CONSP(op) and
 ;    CAR(op) in '(Incl SetDiff SetComp SetInter SetUnion VarEqual SetEqual)
 
 (DEFUN |interpOp?| (|op|)
-  (AND (PAIRP |op|)
+  (AND (CONSP |op|)
        (|member| (CAR |op|)
            '(|Incl| |SetDiff| |SetComp| |SetInter| |SetUnion|
                     |VarEqual| |SetEqual|))))
@@ -1294,17 +1294,17 @@
         ((AND (CDR |t|) (SPADLET |tc| (|resolveTCat1| |t| |c|))) |tc|)
         ((AND (|member| |c| '((|Field|) (|EuclideanDomain|)))
               (|ofCategory| |t| '(|IntegralDomain|)))
-         (|eqType| (CONS |$QuotientField| (CONS |t| NIL))))
+          (CONS |$QuotientField| (CONS |t| NIL)))
         ((AND (BOOT-EQUAL |c| '(|Field|)) (BOOT-EQUAL |t| |$Symbol|))
          (CONS '|RationalFunction| (CONS |$Integer| NIL)))
-        ((AND (BOOT-EQUAL |c| '(|Ring|)) (PAIRP |t|)
+        ((AND (BOOT-EQUAL |c| '(|Ring|)) (CONSP |t|)
               (EQ (QCAR |t|) '|FactoredForm|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |t|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |t0| (QCAR |ISTMP#1|)) 'T))))
          (CONS '|FactoredRing| (CONS |t0| NIL)))
-        ((AND (PAIRP |t|) (EQ (QCDR |t|) NIL)
+        ((AND (CONSP |t|) (EQ (QCDR |t|) NIL)
               (PROGN (SPADLET |t0| (QCAR |t|)) 'T)
               (SPADLET |sd| (|getImmediateSuperDomain| |t0|))
               (NEQUAL |sd| |t0|))
@@ -1349,25 +1349,25 @@
               NIL)
              ('T (SPADLET |cond| (CAR |conds|))
               (COND
-                ((NULL (AND (PAIRP |cond|)
+                ((NULL (AND (CONSP |cond|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |cond|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |ISTMP#2|
                                       (QCAR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCAR |ISTMP#2|) '|has|)
                                       (PROGN
                                         (SPADLET |ISTMP#3|
                                          (QCDR |ISTMP#2|))
-                                        (AND (PAIRP |ISTMP#3|)
+                                        (AND (CONSP |ISTMP#3|)
                                          (PROGN
                                            (SPADLET |pat|
                                             (QCAR |ISTMP#3|))
                                            (SPADLET |ISTMP#4|
                                             (QCDR |ISTMP#3|))
-                                           (AND (PAIRP |ISTMP#4|)
+                                           (AND (CONSP |ISTMP#4|)
                                             (EQ (QCDR |ISTMP#4|) NIL)
                                             (PROGN
                                               (SPADLET |c1|
@@ -1406,7 +1406,7 @@
       (CONS 'ATTRIBUTE (CONS |cat| NIL))))
 
 ;getConditionalCategoryOfType(t,conditions,match) ==
-;  if PAIRP t then t := first t
+;  if CONSP t then t := first t
 ;  t in '(Union Mapping Record) => NIL
 ;  conCat := GETDATABASE(t,'CONSTRUCTORCATEGORY)
 ;  REMDUP CDR getConditionalCategoryOfType1(conCat,conditions,match,[NIL])
@@ -1415,7 +1415,7 @@
   (PROG (|conCat|)
     (RETURN
       (PROGN
-        (COND ((PAIRP |t|) (SPADLET |t| (CAR |t|))))
+        (COND ((CONSP |t|) (SPADLET |t| (CAR |t|))))
         (COND
           ((|member| |t| '(|Union| |Mapping| |Record|)) NIL)
           ('T (SPADLET |conCat| (GETDATABASE |t| 'CONSTRUCTORCATEGORY))
@@ -1449,9 +1449,9 @@
   (declare (special |$TriangleVariableList|))
     (RETURN
       (SEQ (COND
-             ((OR (AND (PAIRP |cat|) (EQ (QCAR |cat|) '|Join|)
+             ((OR (AND (CONSP |cat|) (EQ (QCAR |cat|) '|Join|)
                        (PROGN (SPADLET |cs| (QCDR |cat|)) 'T))
-                  (AND (PAIRP |cat|) (EQ (QCAR |cat|) 'CATEGORY)
+                  (AND (CONSP |cat|) (EQ (QCAR |cat|) 'CATEGORY)
                        (PROGN (SPADLET |cs| (QCDR |cat|)) 'T)))
               (COND
                 ((NULL |cs|) |conditions|)
@@ -1461,24 +1461,24 @@
                      (|getConditionalCategoryOfType1| (CAR |cs|)
                          |conditions| |match| |seen|)
                      |match| |seen|))))
-             ((AND (PAIRP |cat|) (EQ (QCAR |cat|) 'IF)
+             ((AND (CONSP |cat|) (EQ (QCAR |cat|) 'IF)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |cat|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |cond| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL))))))))
               (COND
                 ((|matchUpToPatternVars| |cond| |match| NIL)
                  (RPLACD |conditions| (CONS |cat| (CDR |conditions|)))
                  |conditions|)
                 ('T |conditions|)))
-             ((AND (PAIRP |cat|)
+             ((AND (CONSP |cat|)
                    (PROGN (SPADLET |catName| (QCAR |cat|)) 'T)
                    (BOOT-EQUAL (GETDATABASE |catName| 'CONSTRUCTORKIND)
                        '|category|))
@@ -1513,8 +1513,8 @@
 ;    (p := ASSOC(pat,patAlist)) => EQUAL(form,CDR p)
 ;    patAlist := [[pat,:form],:patAlist]
 ;    true
-;  PAIRP(pat) =>
-;    not (PAIRP form) => NIL
+;  CONSP(pat) =>
+;    not (CONSP form) => NIL
 ;    matchUpToPatternVars(CAR pat, CAR form,patAlist) and
 ;      matchUpToPatternVars(CDR pat, CDR form,patAlist)
 ;  NIL
@@ -1531,9 +1531,9 @@
            ('T
             (SPADLET |patAlist| (CONS (CONS |pat| |form|) |patAlist|))
             'T)))
-        ((PAIRP |pat|)
+        ((CONSP |pat|)
          (COND
-           ((NULL (PAIRP |form|)) NIL)
+           ((NULL (CONSP |form|)) NIL)
            ('T
             (AND (|matchUpToPatternVars| (CAR |pat|) (CAR |form|)
                      |patAlist|)
@@ -1570,11 +1570,10 @@
         (|startTimingProcess| '|resolve|)
         (SPADLET |$Subst| NIL)
         (SPADLET |$Coerce| 'T)
-        (SPADLET |t| (|eqType| |t|))
-        (SPADLET |m| (|eqType| (SUBSTQ '** |$EmptyMode| |m|)))
+        (SPADLET |m| (SUBSTQ '** |$EmptyMode| |m|))
         (SPADLET |tt| (|resolveTM1| |t| |m|))
         (SPADLET |result|
-                 (AND |tt| (|isValidType| |tt|) (|eqType| |tt|)))
+                 (AND |tt| (|isValidType| |tt|) |tt|))
         (|stopTimingProcess| '|resolve|)
         |result|))))
 
@@ -1617,7 +1616,7 @@
     (RETURN
       (COND
         ((BOOT-EQUAL |t| |m|) |t|)
-        ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Union|))
+        ((AND (CONSP |m|) (EQ (QCAR |m|) '|Union|))
          (|resolveTMUnion| |t| |m|))
         ((BOOT-EQUAL |m| '(|Void|)) |m|)
         ((BOOT-EQUAL |m| '(|Any|)) |m|)
@@ -1637,26 +1636,26 @@
               ('T (SPADLET |$Subst| (CONS (CONS |m| |t|) |$Subst|))
                |t|)))
            ((OR (ATOM |t|) (ATOM |m|)) NIL)
-           ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Record|)
-                 (PROGN (SPADLET |tr| (QCDR |t|)) 'T) (PAIRP |m|)
+           ((AND (CONSP |t|) (EQ (QCAR |t|) '|Record|)
+                 (PROGN (SPADLET |tr| (QCDR |t|)) 'T) (CONSP |m|)
                  (EQ (QCAR |m|) '|Record|)
                  (PROGN (SPADLET |mr| (QCDR |m|)) 'T)
                  (SPADLET |tt| (|resolveTMRecord| |tr| |mr|)))
             |tt|)
-           ((OR (AND (PAIRP |t|) (EQ (QCAR |t|) '|Record|))
-                (AND (PAIRP |m|) (EQ (QCAR |m|) '|Record|)))
+           ((OR (AND (CONSP |t|) (EQ (QCAR |t|) '|Record|))
+                (AND (CONSP |m|) (EQ (QCAR |m|) '|Record|)))
             NIL)
-           ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Variable|)
+           ((AND (CONSP |t|) (EQ (QCAR |t|) '|Variable|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)))
-                 (PAIRP |m|) (EQ (QCAR |m|) '|Mapping|))
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)))
+                 (CONSP |m|) (EQ (QCAR |m|) '|Mapping|))
             |m|)
-           ((AND (PAIRP |t|) (EQ (QCAR |t|) '|FunctionCalled|)
+           ((AND (CONSP |t|) (EQ (QCAR |t|) '|FunctionCalled|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |t|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)))
-                 (PAIRP |m|) (EQ (QCAR |m|) '|Mapping|))
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)))
+                 (CONSP |m|) (EQ (QCAR |m|) '|Mapping|))
             |m|)
            ('T
             (COND
@@ -1757,7 +1756,7 @@
              (SPADLET |ums| (CDR |m|))
              (COND
                ((|isTaggedUnion| |m|) (|resolveTMTaggedUnion| |t| |m|))
-               ((NULL (AND (PAIRP |t|) (EQ (QCAR |t|) '|Union|)
+               ((NULL (AND (CONSP |t|) (EQ (QCAR |t|) '|Union|)
                            (PROGN (SPADLET |uts| (QCDR |t|)) 'T)))
                 (SPADLET |ums|
                          (REMDUP (|spliceTypeListForEmptyMode|
@@ -1825,7 +1824,7 @@
     (RETURN
       (COND
         ((NULL |ml|) NIL)
-        ((AND (PAIRP |ml|)
+        ((AND (CONSP |ml|)
               (PROGN
                 (SPADLET |m| (QCAR |ml|))
                 (SPADLET |ml'| (QCDR |ml|))
@@ -1936,7 +1935,7 @@
 ;  t = $AnonymousFunction and m is ['Mapping,:.] => m
 ;  t is ['Variable,x] and m is ['OrderedVariableList,le] =>
 ;    isPatternVar le => ['OrderedVariableList,[x]]
-;    PAIRP(le) and MEMBER(x,le) => le
+;    CONSP(le) and MEMBER(x,le) => le
 ;    NIL
 ;  t is ['Fraction, ['Complex, t1]] and m is ['Complex, m1] =>
 ;    resolveTM1(['Complex, ['Fraction, t1]], m)
@@ -1959,79 +1958,79 @@
   (declare (special |$AnonymousFunction|))
     (RETURN
       (SEQ (COND
-             ((AND (BOOT-EQUAL |t| |$AnonymousFunction|) (PAIRP |m|)
+             ((AND (BOOT-EQUAL |t| |$AnonymousFunction|) (CONSP |m|)
                    (EQ (QCAR |m|) '|Mapping|))
               |m|)
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Variable|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Variable|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T)))
-                   (PAIRP |m|) (EQ (QCAR |m|) '|OrderedVariableList|)
+                   (CONSP |m|) (EQ (QCAR |m|) '|OrderedVariableList|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |m|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |le| (QCAR |ISTMP#1|)) 'T))))
               (COND
                 ((|isPatternVar| |le|)
                  (CONS '|OrderedVariableList|
                        (CONS (CONS |x| NIL) NIL)))
-                ((AND (PAIRP |le|) (|member| |x| |le|)) |le|)
+                ((AND (CONSP |le|) (|member| |x| |le|)) |le|)
                 ('T NIL)))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Fraction|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Fraction|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCAR |ISTMP#2|) '|Complex|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |t1| (QCAR |ISTMP#3|))
                                       'T)))))))
-                   (PAIRP |m|) (EQ (QCAR |m|) '|Complex|)
+                   (CONSP |m|) (EQ (QCAR |m|) '|Complex|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |m|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |m1| (QCAR |ISTMP#1|)) 'T))))
               (|resolveTM1|
                   (CONS '|Complex|
                         (CONS (CONS '|Fraction| (CONS |t1| NIL)) NIL))
                   |m|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Fraction|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Fraction|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCAR |ISTMP#2|) '|Polynomial|)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#4|
                                        (QCAR |ISTMP#3|))
-                                      (AND (PAIRP |ISTMP#4|)
+                                      (AND (CONSP |ISTMP#4|)
                                        (EQ (QCAR |ISTMP#4|) '|Complex|)
                                        (PROGN
                                          (SPADLET |ISTMP#5|
                                           (QCDR |ISTMP#4|))
-                                         (AND (PAIRP |ISTMP#5|)
+                                         (AND (CONSP |ISTMP#5|)
                                           (EQ (QCDR |ISTMP#5|) NIL)
                                           (PROGN
                                             (SPADLET |t1|
                                              (QCAR |ISTMP#5|))
                                             'T)))))))))))
-                   (PAIRP |m|) (EQ (QCAR |m|) '|Complex|)
+                   (CONSP |m|) (EQ (QCAR |m|) '|Complex|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |m|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |m1| (QCAR |ISTMP#1|)) 'T))))
               (|resolveTM1|
                   (CONS '|Complex|
@@ -2042,8 +2041,8 @@
                                      NIL))
                               NIL))
                   |m|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Mapping|)
-                   (PROGN (SPADLET |lt| (QCDR |t|)) 'T) (PAIRP |m|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Mapping|)
+                   (PROGN (SPADLET |lt| (QCDR |t|)) 'T) (CONSP |m|)
                    (EQ (QCAR |m|) '|Mapping|)
                    (PROGN (SPADLET |lm| (QCDR |m|)) 'T))
               (COND
@@ -2063,15 +2062,15 @@
                                       (EXIT
                                        (SPADLET |l| (CONS |ok| |l|))))))))
                       (AND |ok| (CONS '|Mapping| (REVERSE |l|)))))))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Segment|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Segment|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T)))
-                   (PAIRP |m|) (EQ (QCAR |m|) '|UniversalSegment|)
+                   (CONSP |m|) (EQ (QCAR |m|) '|UniversalSegment|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |m|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
               (|resolveTM1| (CONS '|UniversalSegment| (CONS |u| NIL))
                   |m|))
              ('T NIL))))))
@@ -2281,13 +2280,13 @@
 ;  t is ['Resolve,a,b] =>
 ;    ( a := resolveTMRed1 a ) and ( b := resolveTMRed1 b ) and
 ;      resolveTM1(a,b)
-;  t is ['Incl,a,b] => PAIRP b and MEMBER(a,b) and b
-;  t is ['Diff,a,b] => PAIRP a and MEMBER(b,a) and SETDIFFERENCE(a,[b])
-;  t is ['SetIncl,a,b] => PAIRP b and and/[MEMBER(x,b) for x in a] and b
-;  t is ['SetDiff,a,b] => PAIRP b and PAIRP b and
+;  t is ['Incl,a,b] => CONSP b and MEMBER(a,b) and b
+;  t is ['Diff,a,b] => CONSP a and MEMBER(b,a) and SETDIFFERENCE(a,[b])
+;  t is ['SetIncl,a,b] => CONSP b and and/[MEMBER(x,b) for x in a] and b
+;  t is ['SetDiff,a,b] => CONSP b and CONSP b and
 ;                         INTERSECTION(a,b) and SETDIFFERENCE(a,b)
 ;  t is ['VarEqual,a,b] => (a = b) and b
-;  t is ['SetComp,a,b] => PAIRP a and PAIRP b and
+;  t is ['SetComp,a,b] => CONSP a and CONSP b and
 ;    and/[MEMBER(x,a) for x in b] and SETDIFFERENCE(a,b)
 ;  t is ['SimpleAlgebraicExtension,a,b,p] =>  -- this is a hack. RSS
 ;    ['SimpleAlgebraicExtension, resolveTMRed1 a, resolveTMRed1 b,p]
@@ -2298,14 +2297,14 @@
     (RETURN
       (SEQ (COND
              ((ATOM |t|) |t|)
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Resolve|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Resolve|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -2313,46 +2312,46 @@
               (AND (SPADLET |a| (|resolveTMRed1| |a|))
                    (SPADLET |b| (|resolveTMRed1| |b|))
                    (|resolveTM1| |a| |b|)))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Incl|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Incl|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
-              (AND (PAIRP |b|) (|member| |a| |b|) |b|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|Diff|)
+              (AND (CONSP |b|) (|member| |a| |b|) |b|))
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|Diff|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
-              (AND (PAIRP |a|) (|member| |b| |a|)
+              (AND (CONSP |a|) (|member| |b| |a|)
                    (SETDIFFERENCE |a| (CONS |b| NIL))))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetIncl|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetIncl|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
-              (AND (PAIRP |b|)
+              (AND (CONSP |b|)
                    (PROG (G167809)
                      (SPADLET G167809 'T)
                      (RETURN
@@ -2364,46 +2363,46 @@
                          (SEQ (EXIT (SETQ G167809
                                      (AND G167809 (|member| |x| |b|))))))))
                    |b|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetDiff|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetDiff|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
-              (AND (PAIRP |b|) (PAIRP |b|) (|intersection| |a| |b|)
+              (AND (CONSP |b|) (CONSP |b|) (|intersection| |a| |b|)
                    (SETDIFFERENCE |a| |b|)))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|VarEqual|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|VarEqual|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
               (AND (BOOT-EQUAL |a| |b|) |b|))
-             ((AND (PAIRP |t|) (EQ (QCAR |t|) '|SetComp|)
+             ((AND (CONSP |t|) (EQ (QCAR |t|) '|SetComp|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    'T))))))
-              (AND (PAIRP |a|) (PAIRP |b|)
+              (AND (CONSP |a|) (CONSP |b|)
                    (PROG (G167823)
                      (SPADLET G167823 'T)
                      (RETURN
@@ -2415,19 +2414,19 @@
                          (SEQ (EXIT (SETQ G167823
                                      (AND G167823 (|member| |x| |a|))))))))
                    (SETDIFFERENCE |a| |b|)))
-             ((AND (PAIRP |t|)
+             ((AND (CONSP |t|)
                    (EQ (QCAR |t|) '|SimpleAlgebraicExtension|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |t|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |p| (QCAR |ISTMP#3|))
@@ -2450,27 +2449,8 @@
                                        (RETURN NIL))
                                       G167841)))))))))))))
 
-;--% Type and Mode Representation
-;eqType(t) ==
-;  -- looks for an equivalent but more simple type
-;  -- eg, eqType QF I = RN
-;  -- the new algebra orginization no longer uses these sorts of types
-;--  termRW(t,$TypeEQ)
-;  t
-
-(DEFUN |eqType| (|t|) |t|) 
-
-;equiType(t) ==
-;  -- looks for an equivalent but expanded type
-;  -- eg, equiType RN == QF I
-;  -- the new algebra orginization no longer uses these sorts of types
-;--  termRW(t,$TypeEqui)
-;  t
-
-(DEFUN |equiType| (|t|) |t|) 
-
 ;getUnderModeOf d ==
-;  not PAIRP d => NIL
+;  not CONSP d => NIL
 ;--  n := LASSOC(first d,$underDomainAlist) => d.n ----> $underDomainAlist NOW always NIL
 ;  for a in rest d for m in rest destructT d repeat
 ;    if m then return a
@@ -2479,7 +2459,7 @@
   (PROG ()
     (RETURN
       (SEQ (COND
-             ((NULL (PAIRP |d|)) NIL)
+             ((NULL (CONSP |d|)) NIL)
              ('T
               (DO ((G167905 (CDR |d|) (CDR G167905)) (|a| NIL)
                    (G167906 (CDR (|destructT| |d|)) (CDR G167906))
@@ -2600,8 +2580,8 @@
   (COND
     ((OR (|containsVars| |c|) (|containsVars| A)) NIL)
     ((BOOT-EQUAL (CAR |c|) |$FunctionalExpression|)
-     (|eqType| (|defaultTargetFE| (CAR A))))
-    ('T (|eqType| (|constructT| |c| A)))))
+      (|defaultTargetFE| (CAR A)))
+    ('T (|constructT| |c| A))))
 
 ;replaceLast(A,t) ==
 ;  -- replaces the last element of the nonempty list A by t (constructively
diff -Nru axiom-20110301a/src/interp/i-spec1.lisp.pamphlet axiom-20111101/src/interp/i-spec1.lisp.pamphlet
--- axiom-20110301a/src/interp/i-spec1.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-spec1.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -81,10 +81,6 @@
            |typeOf| |where|))
 
 ;--% Void stuff
-;voidValue() == '"()"
-
-(DEFUN |voidValue| () "()") 
-
 ;--% Handlers for Anonymous Function Definitions
 ;upADEF t ==
 ;  t isnt [.,[vars,types,.,body],pred,.] => NIL
@@ -126,29 +122,29 @@
     (DECLARE (SPECIAL |$compilingMap|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (PROGN
                                          (SPADLET |vars|
                                           (QCAR |ISTMP#2|))
                                          (SPADLET |ISTMP#3|
                                           (QCDR |ISTMP#2|))
-                                         (AND (PAIRP |ISTMP#3|)
+                                         (AND (CONSP |ISTMP#3|)
                                           (PROGN
                                             (SPADLET |types|
                                              (QCAR |ISTMP#3|))
                                             (SPADLET |ISTMP#4|
                                              (QCDR |ISTMP#3|))
-                                            (AND (PAIRP |ISTMP#4|)
+                                            (AND (CONSP |ISTMP#4|)
                                              (PROGN
                                                (SPADLET |ISTMP#5|
                                                 (QCDR |ISTMP#4|))
-                                               (AND (PAIRP |ISTMP#5|)
+                                               (AND (CONSP |ISTMP#5|)
                                                 (EQ (QCDR |ISTMP#5|)
                                                  NIL)
                                                 (PROGN
@@ -157,13 +153,13 @@
                                                   'T)))))))))
                                 (PROGN
                                   (SPADLET |ISTMP#6| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#6|)
+                                  (AND (CONSP |ISTMP#6|)
                                        (PROGN
                                          (SPADLET |pred|
                                           (QCAR |ISTMP#6|))
                                          (SPADLET |ISTMP#7|
                                           (QCDR |ISTMP#6|))
-                                         (AND (PAIRP |ISTMP#7|)
+                                         (AND (CONSP |ISTMP#7|)
                                           (EQ (QCDR |ISTMP#7|) NIL)))))))))
               NIL)
              ('T
@@ -227,11 +223,11 @@
                                        (CONS '|noMapVal| NIL)))))))
               (SPADLET |tar| (|getTarget| |t|))
               (COND
-                ((AND (NULL |m|) (PAIRP |tar|)
+                ((AND (NULL |m|) (CONSP |tar|)
                       (EQ (QCAR |tar|) '|Mapping|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |tar|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |argTypes| (QCDR |ISTMP#1|))
                                'T)))
@@ -260,7 +256,7 @@
     (RETURN
       (PROGN
         (COND
-          ((AND (PAIRP |vars|) (EQ (QCDR |vars|) NIL)
+          ((AND (CONSP |vars|) (EQ (QCDR |vars|) NIL)
                 (PROGN (SPADLET |var| (QCAR |vars|)) 'T))
            (SPADLET |vars| |var|))
           ('T (SPADLET |vars| (CONS '|Tuple| |vars|))))
@@ -607,15 +603,15 @@
                       |$genValue|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |var| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |eq| (QCAR |ISTMP#2|))
@@ -704,7 +700,7 @@
   (PROG (|op| |l|)
     (RETURN
       (COND
-        ((AND (PAIRP |eq|)
+        ((AND (CONSP |eq|)
               (PROGN
                 (SPADLET |op| (QCAR |eq|))
                 (SPADLET |l| (QCDR |eq|))
@@ -748,15 +744,15 @@
   (declare (special |$Boolean| |$genValue|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |x|)
+        ((NULL (AND (CONSP |x|)
                     (PROGN
                       (SPADLET |op| (QCAR |x|))
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |term1| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |term2| (QCAR |ISTMP#2|))
@@ -766,7 +762,7 @@
          (|putTarget| |term2| |$Boolean|)
          (SPADLET |ms| (|bottomUp| |term1|))
          (COND
-           ((NULL (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+           ((NULL (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                        (EQUAL (QCAR |ms|) |$Boolean|)))
             (|throwKeyedMsgSP| 'S2IS0054
                 (CONS 1 (CONS "\"and\"" NIL)) |term1|))
@@ -779,7 +775,7 @@
                   (|putModeSet| |x| |ms|))
                  ('T (SPADLET |ms| (|bottomUp| |term2|))
                   (COND
-                    ((NULL (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                    ((NULL (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                                 (EQUAL (QCAR |ms|) |$Boolean|)))
                      (|throwKeyedMsgSP| 'S2IS0054
                          (CONS 2 (CONS "\"and\"" NIL))
@@ -788,7 +784,7 @@
                      (|putModeSet| |x| |ms|))))))
            ('T (SPADLET |ms| (|bottomUp| |term2|))
             (COND
-              ((NULL (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+              ((NULL (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                           (EQUAL (QCAR |ms|) |$Boolean|)))
                (|throwKeyedMsgSP| 'S2IS0054
                    (CONS 2 (CONS "\"and\"" NIL)) |term2|))
@@ -841,15 +837,15 @@
   (declare (special |$Boolean| |$genValue|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |x|)
+        ((NULL (AND (CONSP |x|)
                     (PROGN
                       (SPADLET |op| (QCAR |x|))
                       (SPADLET |ISTMP#1| (QCDR |x|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |term1| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |term2| (QCAR |ISTMP#2|))
@@ -859,7 +855,7 @@
          (|putTarget| |term2| |$Boolean|)
          (SPADLET |ms| (|bottomUp| |term1|))
          (COND
-           ((NULL (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+           ((NULL (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                        (EQUAL (QCAR |ms|) |$Boolean|)))
             (|throwKeyedMsgSP| 'S2IS0054
                 (CONS 1 (CONS "\"or\"" NIL)) |term1|))
@@ -872,7 +868,7 @@
                   (|putModeSet| |x| |ms|))
                  ('T (SPADLET |ms| (|bottomUp| |term2|))
                   (COND
-                    ((NULL (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                    ((NULL (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                                 (EQUAL (QCAR |ms|) |$Boolean|)))
                      (|throwKeyedMsgSP| 'S2IS0054
                          (CONS 2 (CONS "\"or\"" NIL))
@@ -881,7 +877,7 @@
                      (|putModeSet| |x| |ms|))))))
            ('T (SPADLET |ms| (|bottomUp| |term2|))
             (COND
-              ((NULL (AND (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+              ((NULL (AND (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                           (EQUAL (QCAR |ms|) |$Boolean|)))
                (|throwKeyedMsgSP| 'S2IS0054
                    (CONS 2 (CONS "\"or\"" NIL)) |term2|))
@@ -940,15 +936,15 @@
   (declare (special |$Boolean| |$genValue|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |lhs| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |rhs|
@@ -960,7 +956,7 @@
               (COND
                 ((NULL (PROGN
                          (SPADLET |ISTMP#1| (|objMode| |triple|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) '|Union|)
                               (PROGN
                                 (SPADLET |unionDoms| (QCDR |ISTMP#1|))
@@ -973,14 +969,14 @@
                  (COND
                    ((PROGN
                       (SPADLET |ISTMP#1| (CAR |unionDoms|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)))))))
                     (DO ((|i| 0 (QSADD1 |i|))
                          (G166560 |unionDoms| (CDR G166560))
@@ -989,16 +985,16 @@
                              (PROGN (SETQ |d| (CAR G166560)) NIL))
                          NIL)
                       (SEQ (EXIT (COND
-                                   ((AND (PAIRP |d|)
+                                   ((AND (CONSP |d|)
                                      (EQ (QCAR |d|) '|:|)
                                      (PROGN
                                        (SPADLET |ISTMP#1| (QCDR |d|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQUAL (QCAR |ISTMP#1|) |rhs|)
                                         (PROGN
                                           (SPADLET |ISTMP#2|
                                            (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
+                                          (AND (CONSP |ISTMP#2|)
                                            (EQ (QCDR |ISTMP#2|) NIL))))))
                                     (SPADLET |rhstag| |i|))
                                    ('T NIL)))))
@@ -1086,15 +1082,15 @@
     (DECLARE (SPECIAL |$declaredMode| |$localVars| |$genValue|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |lhs| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |rhs|
@@ -1164,15 +1160,15 @@
                       |$genValue|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |lhs| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |rhs|
@@ -1241,7 +1237,7 @@
         (SPADLET |v| (|getValue| |tree|))
         (SPADLET |t1| (|objMode| |v|))
         (COND
-          ((AND |$genValue| (PAIRP |t1|) (EQ (QCAR |t1|) '|Union|))
+          ((AND |$genValue| (CONSP |t1|) (EQ (QCAR |t1|) '|Union|))
            (SPADLET |v| (|coerceUnion2Branch| |v|))
            (SPADLET |t1| (|objMode| |v|))))
         (SPADLET |e| (|objVal| |v|))
@@ -1329,26 +1325,26 @@
                             (SEQ (EXIT (SETQ G166918
                                         (APPEND G166918
                                          (COND
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'STEP)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |index|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (PROGN
                                                      (SPADLET |lower|
                                                       (QCAR |ISTMP#2|))
                                                      (SPADLET |ISTMP#3|
                                                       (QCDR |ISTMP#2|))
                                                      (AND
-                                                      (PAIRP |ISTMP#3|)
+                                                      (CONSP |ISTMP#3|)
                                                       (PROGN
                                                         (SPADLET |step|
                                                          (QCAR
@@ -1393,19 +1389,19 @@
                                                             |upper|)
                                                            G166968)))))))))))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'IN)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |index|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -1418,19 +1414,19 @@
                                                (CONS (|mkAtree1| |s|)
                                                 NIL)))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'ON)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |index|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -1446,12 +1442,12 @@
                                                   (CONS |s| NIL)))
                                                 NIL)))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'WHILE)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -1463,12 +1459,12 @@
                                               (CONS (|mkAtree1| |b|)
                                                NIL))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) '|\||)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -1480,7 +1476,7 @@
                                               (CONS (|mkAtree1| |pred|)
                                                NIL))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (PROGN
                                                (SPADLET |op|
                                                 (QCAR |it|))
@@ -1507,24 +1503,24 @@
                                      (SETQ G166979
                                       (APPEND G166979
                                        (COND
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'STEP))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'IN))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'ON))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'WHILE))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (PROGN
                                              (SPADLET |op| (QCAR |it|))
                                              (SPADLET |ISTMP#1|
                                               (QCDR |it|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (EQ (QCDR |ISTMP#1|) NIL)
                                               (PROGN
                                                 (SPADLET |b|
@@ -1535,12 +1531,12 @@
                                            (CONS |op|
                                             (CONS (|mkAtree1| |b|) NIL))
                                            NIL))
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) '|\||)
                                            (PROGN
                                              (SPADLET |ISTMP#1|
                                               (QCDR |it|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (EQ (QCDR |ISTMP#1|) NIL)
                                               (PROGN
                                                 (SPADLET |pred|
@@ -1608,16 +1604,16 @@
   (declare (special |$interpOnly|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |ISTMP#2|
                                            (REVERSE |ISTMP#1|))
                                   'T)
-                                (PAIRP |ISTMP#2|)
+                                (CONSP |ISTMP#2|)
                                 (PROGN
                                   (SPADLET |body| (QCAR |ISTMP#2|))
                                   (SPADLET |itrl| (QCDR |ISTMP#2|))
@@ -1631,11 +1627,11 @@
                 ((AND (SPADLET |target| (|getTarget| |t|))
                       (NULL (|getTarget| |body|)))
                  (COND
-                   ((AND (PAIRP |target|)
+                   ((AND (CONSP |target|)
                          (PROGN
                            (SPADLET |agg| (QCAR |target|))
                            (SPADLET |ISTMP#1| (QCDR |target|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET S (QCAR |ISTMP#1|))
@@ -1660,12 +1656,12 @@
                                  NIL))
                            NIL)
                         (SEQ (EXIT (COND
-                                     ((AND (PAIRP |itr|)
+                                     ((AND (CONSP |itr|)
                                        (EQ (QCAR |itr|) 'UNTIL)
                                        (PROGN
                                          (SPADLET |ISTMP#1|
                                           (QCDR |itr|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |pred|
@@ -1706,11 +1702,11 @@
                     (PROGN (SETQ |iter| (CAR G167214)) NIL))
                 NIL)
              (SEQ (EXIT (COND
-                          ((AND (PAIRP |iter|)
+                          ((AND (CONSP |iter|)
                                 (EQ (QCAR |iter|) 'WHILE)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |iter|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (SPADLET |pred|
@@ -1718,11 +1714,11 @@
                                          'T))))
                            (|bottomUpCompilePredicate| |pred|
                                "while"))
-                          ((AND (PAIRP |iter|)
+                          ((AND (CONSP |iter|)
                                 (EQ (QCAR |iter|) 'SUCHTHAT)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |iter|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (SPADLET |pred|
@@ -1730,41 +1726,41 @@
                                          'T))))
                            (|bottomUpCompilePredicate| |pred|
                                "|"))
-                          ((AND (PAIRP |iter|)
+                          ((AND (CONSP |iter|)
                                 (EQ (QCAR |iter|) 'UNTIL))
                            NIL)
-                          ((AND (PAIRP |iter|) (EQ (QCAR |iter|) 'IN)
+                          ((AND (CONSP |iter|) (EQ (QCAR |iter|) 'IN)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |iter|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |index|
                                           (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCDR |ISTMP#2|) NIL)
                                           (PROGN
                                             (SPADLET |s|
                                              (QCAR |ISTMP#2|))
                                             'T))))))
                            (|upLoopIterIN| |iter| |index| |s|))
-                          ((AND (PAIRP |iter|) (EQ (QCAR |iter|) 'STEP)
+                          ((AND (CONSP |iter|) (EQ (QCAR |iter|) 'STEP)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |iter|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |index|
                                           (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (PROGN
                                             (SPADLET |lower|
                                              (QCAR |ISTMP#2|))
                                             (SPADLET |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (PROGN
                                                (SPADLET |step|
                                                 (QCAR |ISTMP#3|))
@@ -1819,30 +1815,30 @@
              ((AND |$genValue|
                    (PROGN
                      (SPADLET |ISTMP#1| (CAR |iterMs|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) '|Union|))))
               (SPADLET |v| (|coerceUnion2Branch| (|getValue| |s|)))
               (SPADLET |m| (|objMode| |v|)) (|putValue| |s| |v|)
               (|putMode| |s| |m|) (SPADLET |iterMs| (CONS |m| NIL))
               (|putModeSet| |s| |iterMs|)))
            (COND
-             ((OR (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+             ((OR (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) '|Segment|)
                               (PROGN
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL))))))
-                  (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+                  (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) '|UniversalSegment|)
                               (PROGN
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)))))))
               (SPADLET |lower|
                        (CONS (|mkAtreeNode| '|lo|) (CONS |s| NIL)))
@@ -1863,14 +1859,14 @@
                                     (CONS |step| |upperList|)))))
               (RPLACA |iter| (CAR |newIter|))
               (RPLACD |iter| (CDR |newIter|)))
-             ((NULL (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+             ((NULL (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCAR |ISTMP#1|) '|List|)
                                 (PROGN
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |ud|
@@ -1986,7 +1982,7 @@
              (SPADLET |bod|
                       (|getArgValue| |body| (|computedMode| |body|)))
              (COND
-               ((NULL (AND (PAIRP |bod|) (EQ (QCAR |bod|) 'SPADCALL)))
+               ((NULL (AND (CONSP |bod|) (EQ (QCAR |bod|) 'SPADCALL)))
                 (SPADLET |bode| (CONS '|unwrap| (CONS |bod| NIL)))))
              (SPADLET |code|
                       (|timedOptimization|
@@ -2025,18 +2021,18 @@
   (declare (special |$Boolean| |$env| |$SmallInteger| |$Integer|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'STEP)
+             ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'STEP)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |index| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |lower| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |step| (QCAR |ISTMP#3|))
                                       (SPADLET |upperList|
@@ -2066,18 +2062,18 @@
                                                 (|getArgValue| |upper|
                                                  |$Integer|)
                                                 G167465))))))))))))
-             ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'ISTEP)
+             ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'ISTEP)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |index| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |lower| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |step| (QCAR |ISTMP#3|))
                                       (SPADLET |upperList|
@@ -2108,14 +2104,14 @@
                                                 (|getArgValue| |upper|
                                                  |$SmallInteger|)
                                                 G167480))))))))))))
-             ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'IN)
+             ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'IN)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |index| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |s| (QCAR |ISTMP#2|))
@@ -2128,11 +2124,11 @@
                                       (|get| |index| '|mode| |$env|)
                                       NIL)))
                                 NIL))))
-             ((AND (PAIRP |itr|)
+             ((AND (CONSP |itr|)
                    (PROGN
                      (SPADLET |x| (QCAR |itr|))
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |pred| (QCAR |ISTMP#1|)) 'T)))
                    (|member| |x| '(WHILE UNTIL SUCHTHAT)))
               (CONS |x| (CONS (|getArgValue| |pred| |$Boolean|) NIL))))))))
@@ -2262,18 +2258,18 @@
                     |$Integer|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'STEP)
+             ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'STEP)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |index| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |lower| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |step| (QCAR |ISTMP#3|))
                                       (SPADLET |upperList|
@@ -2313,18 +2309,18 @@
                                                 (|getArgValue| |upper|
                                                  |$Integer|)
                                                 G167719))))))))))))
-             ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'ISTEP)
+             ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'ISTEP)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |index| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |lower| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (PROGN
                                       (SPADLET |step| (QCAR |ISTMP#3|))
                                       (SPADLET |upperList|
@@ -2365,14 +2361,14 @@
                                                 (|getArgValue| |upper|
                                                  |$SmallInteger|)
                                                 G167743))))))))))))
-             ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'IN)
+             ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'IN)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |index| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |s| (QCAR |ISTMP#2|))
@@ -2382,10 +2378,10 @@
               (SPADLET |LETTMP#1| (|bottomUp| |s|))
               (SPADLET |m| (CAR |LETTMP#1|))
               (COND
-                ((NULL (AND (PAIRP |m|) (EQ (QCAR |m|) '|List|)
+                ((NULL (AND (CONSP |m|) (EQ (QCAR |m|) '|List|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |m|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCDR |ISTMP#1|) NIL)
                                    (PROGN
                                      (SPADLET |um| (QCAR |ISTMP#1|))
@@ -2395,11 +2391,11 @@
                  (CONS 'IN
                        (CONS (|getUnname| |index|)
                              (CONS (|getArgValue| |s| |m|) NIL))))))
-             ((AND (PAIRP |itr|)
+             ((AND (CONSP |itr|)
                    (PROGN
                      (SPADLET |x| (QCAR |itr|))
                      (SPADLET |ISTMP#1| (QCDR |itr|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |pred| (QCAR |ISTMP#1|)) 'T)))
                    (|member| |x| '(WHILE UNTIL SUCHTHAT)))
               (CONS |x|
@@ -2519,14 +2515,14 @@
                       G167897)
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'IN)
+                            ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'IN)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |itr|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |s|
@@ -2534,44 +2530,44 @@
                                           'T))))))
                              (SPADLET |iterMs| (|bottomUp| |s|))
                              (COND
-                               ((AND (PAIRP |iterMs|)
+                               ((AND (CONSP |iterMs|)
                                      (EQ (QCDR |iterMs|) NIL)
                                      (PROGN
                                        (SPADLET |ISTMP#1|
                                         (QCAR |iterMs|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCAR |ISTMP#1|) '|Stream|))))
                                 (SPADLET |isStream| 'T))
-                               ((AND (PAIRP |iterMs|)
+                               ((AND (CONSP |iterMs|)
                                      (EQ (QCDR |iterMs|) NIL)
                                      (PROGN
                                        (SPADLET |ISTMP#1|
                                         (QCAR |iterMs|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCAR |ISTMP#1|)
                                          '|InfiniteTuple|))))
                                 (SPADLET |isStream| 'T))
-                               ((AND (PAIRP |iterMs|)
+                               ((AND (CONSP |iterMs|)
                                      (EQ (QCDR |iterMs|) NIL)
                                      (PROGN
                                        (SPADLET |ISTMP#1|
                                         (QCAR |iterMs|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCAR |ISTMP#1|)
                                          '|UniversalSegment|))))
                                 (SPADLET |isStream| 'T))))
-                            ((AND (PAIRP |itr|) (EQ (QCAR |itr|) 'STEP)
+                            ((AND (CONSP |itr|) (EQ (QCAR |itr|) 'STEP)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |itr|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (PROGN
                                           (SPADLET |ISTMP#3|
                                            (QCDR |ISTMP#2|))
-                                          (AND (PAIRP |ISTMP#3|)
+                                          (AND (CONSP |ISTMP#3|)
                                            (EQ (QCDR |ISTMP#3|) NIL))))))))
                              (SPADLET |isStream| 'T))))))
              |isStream|)))))
@@ -2632,38 +2628,38 @@
                     (PROGN (SETQ |iter| (CAR G168016)) NIL))
                 NIL)
              (SEQ (EXIT (COND
-                          ((AND (PAIRP |iter|) (EQ (QCAR |iter|) 'IN)
+                          ((AND (CONSP |iter|) (EQ (QCAR |iter|) 'IN)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |iter|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |index|
                                           (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCDR |ISTMP#2|) NIL)
                                           (PROGN
                                             (SPADLET |s|
                                              (QCAR |ISTMP#2|))
                                             'T))))))
                            (|upStreamIterIN| |iter| |index| |s|))
-                          ((AND (PAIRP |iter|) (EQ (QCAR |iter|) 'STEP)
+                          ((AND (CONSP |iter|) (EQ (QCAR |iter|) 'STEP)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |iter|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |index|
                                           (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (PROGN
                                             (SPADLET |lower|
                                              (QCAR |ISTMP#2|))
                                             (SPADLET |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (PROGN
                                                (SPADLET |step|
                                                 (QCAR |ISTMP#3|))
@@ -2708,23 +2704,23 @@
       (PROGN
         (SPADLET |iterMs| (|bottomUp| |s|))
         (COND
-          ((OR (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+          ((OR (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) '|Segment|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL))))))
-               (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+               (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) '|UniversalSegment|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)))))))
            (SPADLET |lower|
                     (CONS (|mkAtreeNode| '|lo|) (CONS |s| NIL)))
@@ -2745,41 +2741,41 @@
                                       (CONS |step| |upperList|)))))
            (RPLACA |iter| (CAR |newIter|))
            (RPLACD |iter| (CDR |newIter|)))
-          ((AND (NULL (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+          ((AND (NULL (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCAR |ISTMP#1|) '|List|)
                                   (PROGN
                                     (SPADLET |ISTMP#2|
                                      (QCDR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
+                                    (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)
                                      (PROGN
                                        (SPADLET |ud| (QCAR |ISTMP#2|))
                                        'T)))))))
-                (NULL (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+                (NULL (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCAR |ISTMP#1|) '|Stream|)
                                   (PROGN
                                     (SPADLET |ISTMP#2|
                                      (QCDR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
+                                    (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)
                                      (PROGN
                                        (SPADLET |ud| (QCAR |ISTMP#2|))
                                        'T)))))))
-                (NULL (AND (PAIRP |iterMs|) (EQ (QCDR |iterMs|) NIL)
+                (NULL (AND (CONSP |iterMs|) (EQ (QCDR |iterMs|) NIL)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCAR |ISTMP#1|) '|InfinitTuple|)
                                   (PROGN
                                     (SPADLET |ISTMP#2|
                                      (QCDR |ISTMP#1|))
-                                    (AND (PAIRP |ISTMP#2|)
+                                    (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)
                                      (PROGN
                                        (SPADLET |ud| (QCAR |ISTMP#2|))
@@ -2790,15 +2786,15 @@
                |index|)
            (SPADLET |s|
                     (COND
-                      ((AND (PAIRP |iterMs|)
+                      ((AND (CONSP |iterMs|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCAR |iterMs|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCAR |ISTMP#1|) '|List|)
                                    (PROGN
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |ud| (QCAR |ISTMP#2|))
@@ -2985,18 +2981,18 @@
         (SPADLET |val| (|getValue| |form|))
         (SPADLET |m| (|objMode| |val|))
         (COND
-          ((AND (NULL (AND (PAIRP |m|) (EQ (QCAR |m|) '|Stream|)
+          ((AND (NULL (AND (CONSP |m|) (EQ (QCAR |m|) '|Stream|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |m|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |ud| (QCAR |ISTMP#1|))
                                     'T)))))
-                (NULL (AND (PAIRP |m|) (EQ (QCAR |m|) '|InfiniteTuple|)
+                (NULL (AND (CONSP |m|) (EQ (QCAR |m|) '|InfiniteTuple|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |m|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |ud| (QCAR |ISTMP#1|))
@@ -3040,11 +3036,11 @@
                       (PROGN (SETQ |iter| (CAR G168208)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |iter|)
+                            ((AND (CONSP |iter|)
                                   (EQ (QCAR |iter|) 'WHILE)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |iter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |pred|
@@ -3057,11 +3053,11 @@
                              (SPADLET |s|
                                       (CONS (|mkAtreeNode| |fun|)
                                        (CONS |predVec| (CONS |s| NIL)))))
-                            ((AND (PAIRP |iter|)
+                            ((AND (CONSP |iter|)
                                   (EQ (QCAR |iter|) 'UNTIL)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |iter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |pred|
@@ -3074,11 +3070,11 @@
                              (SPADLET |s|
                                       (CONS (|mkAtreeNode| |fun|)
                                        (CONS |predVec| (CONS |s| NIL)))))
-                            ((AND (PAIRP |iter|)
+                            ((AND (CONSP |iter|)
                                   (EQ (QCAR |iter|) 'SUCHTHAT)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |iter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |pred|
@@ -3126,20 +3122,20 @@
         (SPADLET |s| (CDR G168248))
         (SPADLET |mode| (|objMode| (|getValue| |s|)))
         (COND
-          ((AND (NULL (AND (PAIRP |mode|) (EQ (QCAR |mode|) '|Stream|)
+          ((AND (NULL (AND (CONSP |mode|) (EQ (QCAR |mode|) '|Stream|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |mode|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |indMode|
                                      (QCAR |ISTMP#1|))
                                     'T)))))
-                (NULL (AND (PAIRP |mode|)
+                (NULL (AND (CONSP |mode|)
                            (EQ (QCAR |mode|) '|InfiniteTuple|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |mode|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |indMode|
@@ -3305,11 +3301,11 @@
                     (COND
                       ((PROGN
                          (SPADLET |ISTMP#1| (CAR |args|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) 'STEP)
                               (PROGN
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (PROGN
                                        (SPADLET |var| (QCAR |ISTMP#2|))
                                        'T)))))
@@ -3364,11 +3360,11 @@
                     (COND
                       ((PROGN
                          (SPADLET |ISTMP#1| (CAR |args|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCAR |ISTMP#1|) 'STEP)
                               (PROGN
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (PROGN
                                        (SPADLET |var| (QCAR |ISTMP#2|))
                                        'T)))))
@@ -3421,16 +3417,16 @@
                                        G168424)))))))))))
                    ((BOOT-EQUAL |op| 'LET)
                     (COND
-                      ((AND (PAIRP |args|)
+                      ((AND (CONSP |args|)
                             (PROGN
                               (SPADLET |var| (QCAR |args|))
                               (SPADLET |ISTMP#1| (QCDR |args|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |form| (QCAR |ISTMP#1|))
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |name|
@@ -3534,18 +3530,18 @@
         (SPADLET |val| (|getValue| |form|))
         (SPADLET |m| (|objMode| |val|))
         (COND
-          ((AND (NULL (AND (PAIRP |m|) (EQ (QCAR |m|) '|Stream|)
+          ((AND (NULL (AND (CONSP |m|) (EQ (QCAR |m|) '|Stream|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |m|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |ud| (QCAR |ISTMP#1|))
                                     'T)))))
-                (NULL (AND (PAIRP |m|) (EQ (QCAR |m|) '|InfiniteTuple|)
+                (NULL (AND (CONSP |m|) (EQ (QCAR |m|) '|InfiniteTuple|)
                            (PROGN
                              (SPADLET |ISTMP#1| (QCDR |m|))
-                             (AND (PAIRP |ISTMP#1|)
+                             (AND (CONSP |ISTMP#1|)
                                   (EQ (QCDR |ISTMP#1|) NIL)
                                   (PROGN
                                     (SPADLET |ud| (QCAR |ISTMP#1|))
@@ -3656,11 +3652,11 @@
                       (PROGN (SETQ |iter| (CAR G168589)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((AND (PAIRP |iter|)
+                            ((AND (CONSP |iter|)
                                   (EQ (QCAR |iter|) 'WHILE)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |iter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |pred|
@@ -3672,11 +3668,11 @@
                              (SPADLET |s|
                                       (CONS (|mkAtreeNode| '|swhile|)
                                        (CONS |predVec| (CONS |s| NIL)))))
-                            ((AND (PAIRP |iter|)
+                            ((AND (CONSP |iter|)
                                   (EQ (QCAR |iter|) 'UNTIL)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |iter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |pred|
@@ -3688,11 +3684,11 @@
                              (SPADLET |s|
                                       (CONS (|mkAtreeNode| '|suntil|)
                                        (CONS |predVec| (CONS |s| NIL)))))
-                            ((AND (PAIRP |iter|)
+                            ((AND (CONSP |iter|)
                                   (EQ (QCAR |iter|) 'SUCHTHAT)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |iter|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |pred|
@@ -3885,7 +3881,7 @@
 ;  tar is ['Record,:types] => upRecordConstruct(op,l,tar)
 ;  isTaggedUnion tar => upTaggedUnionConstruct(op,l,tar)
 ;  aggs := '(List)
-;  if tar and PAIRP(tar) and ^isPartialMode(tar) then
+;  if tar and CONSP(tar) and ^isPartialMode(tar) then
 ;    CAR(tar) in aggs =>
 ;      ud :=
 ;        (l is [[realOp, :.]]) and (getUnname(realOp) = 'COLLECT) => tar
@@ -3922,7 +3918,7 @@
               |ud| |mode| |tar|)
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |l| (QCDR |t|))
@@ -3932,23 +3928,23 @@
               (SPADLET |tar| (OR (|getTarget| |op|) |dol|))
               (COND
                 ((NULL |l|) (|upNullList| |op| |l| |tar|))
-                ((AND (PAIRP |tar|) (EQ (QCAR |tar|) '|Record|)
+                ((AND (CONSP |tar|) (EQ (QCAR |tar|) '|Record|)
                       (PROGN (SPADLET |types| (QCDR |tar|)) 'T))
                  (|upRecordConstruct| |op| |l| |tar|))
                 ((|isTaggedUnion| |tar|)
                  (|upTaggedUnionConstruct| |op| |l| |tar|))
                 ('T (SPADLET |aggs| '(|List|))
                  (COND
-                   ((AND |tar| (PAIRP |tar|)
+                   ((AND |tar| (CONSP |tar|)
                          (NULL (|isPartialMode| |tar|)))
                     (COND
                       ((|member| (CAR |tar|) |aggs|)
                        (SPADLET |ud|
                                 (COND
-                                  ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
+                                  ((AND (CONSP |l|) (EQ (QCDR |l|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#1| (QCAR |l|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |realOp|
                                           (QCAR |ISTMP#1|))
@@ -3996,7 +3992,7 @@
                                        (CONS (|bottomUp| |x|)
                                         G168756))))))))
                  (COND
-                   ((AND |dol| (PAIRP |dol|)
+                   ((AND |dol| (CONSP |dol|)
                          (PROGN (SPADLET |topType| (QCAR |dol|)) 'T)
                          (NULL (|member| |topType| |aggs|)))
                     (COND
@@ -4007,7 +4003,7 @@
                                       (|getUnname| |op|) |l| |mmS|)))
                        (|putModeSet| |op| |mS|))
                       ('T NIL)))
-                   ((AND |tar| (PAIRP |tar|)
+                   ((AND |tar| (CONSP |tar|)
                          (PROGN (SPADLET |topType| (QCAR |tar|)) 'T)
                          (NULL (|member| |topType| |aggs|))
                          (SPADLET |mmS|
@@ -4039,33 +4035,33 @@
                                           (CONS (CAR |x|) G168771)))))))
                                  |l|))
                     (COND
-                      ((AND (PAIRP |eltTypes|)
+                      ((AND (CONSP |eltTypes|)
                             (EQ (QCDR |eltTypes|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCAR |eltTypes|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCAR |ISTMP#1|) '|Tuple|)
                                    (PROGN
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |td| (QCAR |ISTMP#2|))
                                         'T))))))
                        (SPADLET |mode| (CONS '|List| (CONS |td| NIL)))
                        (|evalTupleConstruct| |op| |l| |mode| |tar|))
-                      ((AND (PAIRP |eltTypes|)
+                      ((AND (CONSP |eltTypes|)
                             (EQ (QCDR |eltTypes|) NIL)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCAR |eltTypes|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (EQ (QCAR |ISTMP#1|)
                                     '|InfiniteTuple|)
                                    (PROGN
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |td| (QCAR |ISTMP#2|))
@@ -4077,10 +4073,10 @@
                       ('T
                        (COND
                          ((AND (NULL (|isPartialMode| |tar|))
-                               (PAIRP |tar|) (EQ (QCAR |tar|) '|List|)
+                               (CONSP |tar|) (EQ (QCAR |tar|) '|List|)
                                (PROGN
                                  (SPADLET |ISTMP#1| (QCDR |tar|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |ud| (QCAR |ISTMP#1|))
@@ -4315,7 +4311,7 @@
     (RETURN
       (SEQ (COND
              ((NULL (|member| |$Symbol| |modeList|)) |modeList|)
-             ((AND (PAIRP |modeList|)
+             ((AND (CONSP |modeList|)
                    (PROGN
                      (SPADLET |a| (QCAR |modeList|))
                      (SPADLET |b| (QCDR |modeList|))
@@ -4376,11 +4372,11 @@
       (PROGN
         (SPADLET |defMode|
                  (COND
-                   ((AND |tar| (PAIRP |tar|)
+                   ((AND |tar| (CONSP |tar|)
                          (PROGN
                            (SPADLET |a| (QCAR |tar|))
                            (SPADLET |ISTMP#1| (QCDR |tar|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |b| (QCAR |ISTMP#1|))
@@ -4415,7 +4411,7 @@
   (PROG (|types| |obj| |code|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |tar|)
+        ((NULL (AND (CONSP |tar|)
                     (PROGN (SPADLET |types| (QCDR |tar|)) 'T)))
          NIL)
         ((NEQUAL (|#| |l|) 1)
@@ -4452,7 +4448,7 @@
   (declare (special |$genValue|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |tar|)
+             ((NULL (AND (CONSP |tar|)
                          (PROGN (SPADLET |types| (QCDR |tar|)) 'T)))
               NIL)
              ('T (SPADLET |argModes| NIL)
@@ -4537,15 +4533,15 @@
   (declare (special |$Void| |$localVars| |$genValue|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |lhs| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |rhs|
@@ -4583,41 +4579,41 @@
                 ('T
                  (SPADLET |junk|
                           (COND
-                            ((OR (AND (PAIRP |lhs|)
+                            ((OR (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|free|)
                                       (PROGN
                                         (SPADLET |ISTMP#1|
                                          (QCDR |lhs|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCAR |ISTMP#2|)
                                              '|Tuple|)
                                             (PROGN
                                               (SPADLET |vars|
                                                (QCDR |ISTMP#2|))
                                               'T))))))
-                                 (AND (PAIRP |lhs|)
+                                 (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|free|)
                                       (PROGN
                                         (SPADLET |ISTMP#1|
                                          (QCDR |lhs|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCAR |ISTMP#2|)
                                              'LISTOF)
                                             (PROGN
                                               (SPADLET |vars|
                                                (QCDR |ISTMP#2|))
                                               'T))))))
-                                 (AND (PAIRP |lhs|)
+                                 (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|free|)
                                       (PROGN
                                         (SPADLET |vars| (QCDR |lhs|))
@@ -4633,41 +4629,41 @@
                                      (|declare|
                                       (CONS '|free| (CONS |var| NIL))
                                       |mode|)))))
-                            ((OR (AND (PAIRP |lhs|)
+                            ((OR (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|local|)
                                       (PROGN
                                         (SPADLET |ISTMP#1|
                                          (QCDR |lhs|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCAR |ISTMP#2|)
                                              '|Tuple|)
                                             (PROGN
                                               (SPADLET |vars|
                                                (QCDR |ISTMP#2|))
                                               'T))))))
-                                 (AND (PAIRP |lhs|)
+                                 (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|local|)
                                       (PROGN
                                         (SPADLET |ISTMP#1|
                                          (QCDR |lhs|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (EQ (QCDR |ISTMP#1|) NIL)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCAR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCAR |ISTMP#2|)
                                              'LISTOF)
                                             (PROGN
                                               (SPADLET |vars|
                                                (QCDR |ISTMP#2|))
                                               'T))))))
-                                 (AND (PAIRP |lhs|)
+                                 (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|local|)
                                       (PROGN
                                         (SPADLET |vars| (QCDR |lhs|))
@@ -4683,12 +4679,12 @@
                                      (|declare|
                                       (CONS '|local| (CONS |var| NIL))
                                       |mode|)))))
-                            ((OR (AND (PAIRP |lhs|)
+                            ((OR (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) '|Tuple|)
                                       (PROGN
                                         (SPADLET |vars| (QCDR |lhs|))
                                         'T))
-                                 (AND (PAIRP |lhs|)
+                                 (AND (CONSP |lhs|)
                                       (EQ (QCAR |lhs|) 'LISTOF)
                                       (PROGN
                                         (SPADLET |vars| (QCDR |lhs|))
@@ -4728,7 +4724,7 @@
 ;    -- otherwise it looks like (Tuple #1 #2 ...)
 ;    nargs :=
 ;      null margs => 0
-;      PAIRP margs => -1 + #margs
+;      CONSP margs => -1 + #margs
 ;      1
 ;    nargs ^= #args => throwKeyedMsg("S2IM0008",[var])
 ;  if $compilingMap then mkLocalVar($mapName,var)
@@ -4750,17 +4746,17 @@
     (RETURN
       (PROGN
         (COND
-          ((AND (PAIRP |var|) (EQ (QCAR |var|) '|local|)
+          ((AND (CONSP |var|) (EQ (QCAR |var|) '|local|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |var|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
            (|uplocalWithType| |v| |mode|) (SPADLET |var| |v|)))
         (COND
-          ((AND (PAIRP |var|) (EQ (QCAR |var|) '|free|)
+          ((AND (CONSP |var|) (EQ (QCAR |var|) '|free|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |var|))
-                  (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                  (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                        (PROGN (SPADLET |v| (QCAR |ISTMP#1|)) 'T))))
            (|upfreeWithType| |v| |mode|) (SPADLET |var| |v|)))
         (COND
@@ -4772,11 +4768,11 @@
            (COND
              ((|get| |var| '|isInterpreterFunction| |$e|)
               (COND
-                ((NULL (AND (PAIRP |mode|)
+                ((NULL (AND (CONSP |mode|)
                             (EQ (QCAR |mode|) '|Mapping|)
                             (PROGN
                               (SPADLET |ISTMP#1| (QCDR |mode|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |args| (QCDR |ISTMP#1|))
                                      'T)))))
@@ -4789,7 +4785,7 @@
                  (SPADLET |nargs|
                           (COND
                             ((NULL |margs|) 0)
-                            ((PAIRP |margs|)
+                            ((CONSP |margs|)
                              (PLUS (SPADDIFFERENCE 1) (|#| |margs|)))
                             ('T 1)))
                  (COND
@@ -4800,7 +4796,7 @@
              ('T (|clearDependencies| |var| 'T)))
            (COND
              ((|isLocalVar| |var|) (|put| |var| '|mode| |mode| |$env|))
-             ((AND (PAIRP |mode|) (EQ (QCAR |mode|) '|Mapping|))
+             ((AND (CONSP |mode|) (EQ (QCAR |mode|) '|Mapping|))
               (|declareMap| |var| |mode|))
              ((SPADLET |v| (|get| |var| '|value| |$e|))
               (COND
@@ -4827,108 +4823,12 @@
         ((AND (SPADLET |v| (|get| |var| '|value| |$e|))
               (NULL (PROGN
                       (SPADLET |ISTMP#1| (|objVal| |v|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) 'MAP)))))
          (|throwKeyedMsg| 'S2IS0019 (CONS |var| NIL)))
         ((|isPartialMode| |mode|) (|throwKeyedMsg| 'S2IM0004 NIL))
         ('T (|putHist| |var| '|mode| |mode| |$e|))))))
 
-;getAndEvalConstructorArgument tree ==
-;  triple := getValue tree
-;  objMode triple = '(Domain) => triple
-;  isWrapped objVal(triple) => triple
-;  isLocalVar objVal triple => compFailure('"   Local variable or parameter used in type")
-;  objNewWrap(timedEVALFUN objVal(triple), objMode(triple))
-
-(DEFUN |getAndEvalConstructorArgument| (|tree|)
-  (PROG (|triple|)
-    (RETURN
-      (PROGN
-        (SPADLET |triple| (|getValue| |tree|))
-        (COND
-          ((BOOT-EQUAL (|objMode| |triple|) '(|Domain|)) |triple|)
-          ((|isWrapped| (|objVal| |triple|)) |triple|)
-          ((|isLocalVar| (|objVal| |triple|))
-           (|compFailure|
-                                  "   Local variable or parameter used in type"))
-          ('T
-           (|objNewWrap| (|timedEVALFUN| (|objVal| |triple|))
-               (|objMode| |triple|))))))))
-
-;replaceSharps(x,d) ==
-;  -- replaces all sharps in x by the arguments of domain d
-;  -- all replaces the triangle variables
-;  SL:= NIL
-;  for e in CDR d for var in $FormalMapVariableList repeat
-;    SL:= CONS(CONS(var,e),SL)
-;  x := subCopy(x,SL)
-;  SL:= NIL
-;  for e in CDR d for var in $TriangleVariableList repeat
-;    SL:= CONS(CONS(var,e),SL)
-;  subCopy(x,SL)
-
-(DEFUN |replaceSharps| (|x| |d|)
-  (PROG (SL)
-  (declare (special |$TriangleVariableList| |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET SL NIL)
-             (DO ((G169241 (CDR |d|) (CDR G169241)) (|e| NIL)
-                  (G169242 |$FormalMapVariableList| (CDR G169242))
-                  (|var| NIL))
-                 ((OR (ATOM G169241)
-                      (PROGN (SETQ |e| (CAR G169241)) NIL)
-                      (ATOM G169242)
-                      (PROGN (SETQ |var| (CAR G169242)) NIL))
-                  NIL)
-               (SEQ (EXIT (SPADLET SL (CONS (CONS |var| |e|) SL)))))
-             (SPADLET |x| (|subCopy| |x| SL))
-             (SPADLET SL NIL)
-             (DO ((G169255 (CDR |d|) (CDR G169255)) (|e| NIL)
-                  (G169256 |$TriangleVariableList| (CDR G169256))
-                  (|var| NIL))
-                 ((OR (ATOM G169255)
-                      (PROGN (SETQ |e| (CAR G169255)) NIL)
-                      (ATOM G169256)
-                      (PROGN (SETQ |var| (CAR G169256)) NIL))
-                  NIL)
-               (SEQ (EXIT (SPADLET SL (CONS (CONS |var| |e|) SL)))))
-             (|subCopy| |x| SL))))))
-
-;isDomainValuedVariable form ==
-;  -- returns the value of form if form is a variable with a type value
-;  IDENTP form and (val := (
-;    get(form,'value,$InteractiveFrame) or _
-;    (PAIRP($env) and get(form,'value,$env)) or _
-;    (PAIRP($e) and get(form,'value,$e)))) and
-;      objMode(val) in '((Domain) (SubDomain (Domain))) =>
-;        objValUnwrap(val)
-;  nil
-
-(DEFUN |isDomainValuedVariable| (|form|)
-  (PROG (|val|)
-  (declare (special |$e| |$env| |$InteractiveFrame|))
-    (RETURN
-      (COND
-        ((AND (IDENTP |form|)
-              (SPADLET |val|
-                       (OR (|get| |form| '|value| |$InteractiveFrame|)
-                           (AND (PAIRP |$env|)
-                                (|get| |form| '|value| |$env|))
-                           (AND (PAIRP |$e|)
-                                (|get| |form| '|value| |$e|))))
-              (|member| (|objMode| |val|)
-                  '((|Domain|) (|SubDomain| (|Domain|)))))
-         (|objValUnwrap| |val|))
-        ('T NIL)))))
-
-;evalCategory(d,c) ==
-;  -- tests whether domain d has category c
-;  isPartialMode d or ofCategory(d,c)
-
-(DEFUN |evalCategory| (|d| |c|)
-  (OR (|isPartialMode| |d|) (|ofCategory| |d| |c|)))
-
 ;isOkInterpMode m ==
 ;  isPartialMode(m) => isLegitimateMode(m,nil,nil)
 ;  isValidType(m) and isLegitimateMode(m,nil,nil)
@@ -4954,16 +4854,16 @@
                     G169295)
                  (SEQ (EXIT (SETQ G169295
                                   (AND G169295
-                                       (AND (PAIRP |x|)
+                                       (AND (CONSP |x|)
                                         (EQ (QCAR |x|) '|:|)
                                         (PROGN
                                           (SPADLET |ISTMP#1|
                                            (QCDR |x|))
-                                          (AND (PAIRP |ISTMP#1|)
+                                          (AND (CONSP |ISTMP#1|)
                                            (PROGN
                                              (SPADLET |ISTMP#2|
                                               (QCDR |ISTMP#1|))
-                                             (AND (PAIRP |ISTMP#2|)
+                                             (AND (CONSP |ISTMP#2|)
                                               (EQ (QCDR |ISTMP#2|) NIL)
                                               (PROGN
                                                 (SPADLET |d|
@@ -4991,11 +4891,11 @@
   (PROG (|op| |ISTMP#1| |rargs| |a|)
     (RETURN
       (COND
-        ((AND (PAIRP |m|)
+        ((AND (CONSP |m|)
               (PROGN
                 (SPADLET |op| (QCAR |m|))
                 (SPADLET |ISTMP#1| (QCDR |m|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |a| (QCAR |ISTMP#1|))
                        (SPADLET |rargs| (QCDR |ISTMP#1|))
@@ -5019,7 +4919,7 @@
         ('T NIL)))))
 
 ;containsPolynomial m ==
-;  not PAIRP(m) => NIL
+;  not CONSP(m) => NIL
 ;  [d,:.] := m
 ;  d in $univariateDomains or d in $multivariateDomains or
 ;    d in '(Polynomial RationalFunction) => true
@@ -5030,7 +4930,7 @@
   (declare (special |$multivariateDomains| |$univariateDomains|))
     (RETURN
       (COND
-        ((NULL (PAIRP |m|)) NIL)
+        ((NULL (CONSP |m|)) NIL)
         ('T (SPADLET |d| (CAR |m|))
          (COND
            ((OR (|member| |d| |$univariateDomains|)
@@ -5042,7 +4942,7 @@
                  (|containsPolynomial| |m'|)))))))))
 
 ;containsVariables m ==
-;  not PAIRP(m) => NIL
+;  not CONSP(m) => NIL
 ;  [d,:.] := m
 ;  d in $univariateDomains or d in $multivariateDomains => true
 ;  (m' := underDomainOf m) and containsVariables m'
@@ -5052,7 +4952,7 @@
   (declare (special |$multivariateDomains| |$univariateDomains|))
     (RETURN
       (COND
-        ((NULL (PAIRP |m|)) NIL)
+        ((NULL (CONSP |m|)) NIL)
         ('T (SPADLET |d| (CAR |m|))
          (COND
            ((OR (|member| |d| |$univariateDomains|)
@@ -5071,7 +4971,7 @@
   (PROG (|x| |l'|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |l|)
+             ((AND (CONSP |l|)
                    (PROGN
                      (SPADLET |x| (QCAR |l|))
                      (SPADLET |l'| (QCDR |l|))
diff -Nru axiom-20110301a/src/interp/i-spec2.lisp.pamphlet axiom-20111101/src/interp/i-spec2.lisp.pamphlet
--- axiom-20110301a/src/interp/i-spec2.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-spec2.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -78,20 +78,20 @@
   (declare (special |$Void| |$e|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |def| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |pred| (QCAR |ISTMP#2|))
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)))))))))
          NIL)
         ('T (SPADLET |v| (|addDefMap| (CONS 'DEF |def|) |pred|))
@@ -148,7 +148,7 @@
 ;      if x then putTarget(y,x)
 ;  putAtree(first form,'dollar,t)
 ;  ms := bottomUp form
-;  f in '(One Zero) and PAIRP(ms) and CAR(ms) = $OutputForm =>
+;  f in '(One Zero) and CONSP(ms) and CAR(ms) = $OutputForm =>
 ;    throwKeyedMsg("S2IS0021",[f,t])
 ;  putValue(op,getValue first form)
 ;  putModeSet(op,ms)
@@ -160,15 +160,15 @@
                     |$localVars|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET D (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |form|
@@ -278,7 +278,7 @@
                           (SPADLET |ms| (|bottomUp| |form|))
                           (COND
                             ((AND (|member| |f| '(|One| |Zero|))
-                                  (PAIRP |ms|)
+                                  (CONSP |ms|)
                                   (BOOT-EQUAL (CAR |ms|) |$OutputForm|))
                              (|throwKeyedMsg| 'S2IS0021
                                  (CONS |f| (CONS |t| NIL))))
@@ -317,14 +317,14 @@
               NIL)
              ((AND (EQL |nargs| 1)
                    (SPADLET |ms| (|bottomUp| (CAR |args|)))
-                   (PAIRP |ms|) (EQ (QCDR |ms|) NIL)
+                   (CONSP |ms|) (EQ (QCDR |ms|) NIL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |ms|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (EQ (QCAR |ISTMP#1|) '|Tuple|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL))))))
               NIL)
              ((NULL (SPADLET |singles| (|isOpInDomain| |f| |t| 1)))
@@ -342,11 +342,11 @@
                        (NULL (NULL |tuple|)))
                    NIL)
                 (SEQ (EXIT (COND
-                             ((AND (PAIRP |arg|)
+                             ((AND (CONSP |arg|)
                                    (EQ (QCAR |arg|) '|Tuple|)
                                    (PROGN
                                      (SPADLET |ISTMP#1| (QCDR |arg|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL))))
                               (SPADLET |tuple| |arg|))
                              ('T NIL)))))
@@ -448,15 +448,15 @@
   (declare (special |$Boolean|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |tree|)
+        ((NULL (AND (CONSP |tree|)
                     (PROGN
                       (SPADLET |op| (QCAR |tree|))
                       (SPADLET |ISTMP#1| (QCDR |tree|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |lhs| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |rhs| (QCAR |ISTMP#2|))
@@ -483,16 +483,16 @@
     (RETURN
       (COND
         ((NULL |$compilingMap|) NIL)
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN (SPADLET |msg| (QCAR |ISTMP#1|)) 'T)))))
          NIL)
         ('T (SPADLET |msgMs| (|bottomUp| |msg|))
          (COND
-           ((NULL (AND (PAIRP |msgMs|) (EQ (QCDR |msgMs|) NIL)
+           ((NULL (AND (CONSP |msgMs|) (EQ (QCDR |msgMs|) NIL)
                        (EQUAL (QCAR |msgMs|) |$String|)))
             NIL)
            ('T
@@ -565,15 +565,15 @@
   (declare (special |$Boolean| |$genValue|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |type| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |prop| (QCAR |ISTMP#2|))
@@ -587,7 +587,7 @@
                     ('T (MKQ (|unabbrev| |type|)))))
          (SPADLET |catCode|
                   (PROGN
-                    (SPADLET |prop| (|unabbrev| |prop|))
+                    (SPADLET |prop| (|unabbrev| (MSUBST '$ '% |prop|)))
                     (COND
                       ((|evaluateType0| |prop|)
                        (CONS '|evaluateType| (CONS (MKQ |prop|) NIL)))
@@ -616,20 +616,20 @@
   (declare (special |$genValue|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |cond| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |a| (QCAR |ISTMP#2|))
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (SPADLET |b| (QCAR |ISTMP#3|))
@@ -818,38 +818,38 @@
     (RETURN
       (COND
         ((NULL |code|) |code|)
-        ((AND (PAIRP |code|) (EQ (QCAR |code|) '|spadThrowBrightly|))
+        ((AND (CONSP |code|) (EQ (QCAR |code|) '|spadThrowBrightly|))
          |code|)
         ((BOOT-EQUAL |m1| |$Exit|) |code|)
-        ((NULL (AND (PAIRP |code|) (EQ (QCAR |code|) 'COND)
+        ((NULL (AND (CONSP |code|) (EQ (QCAR |code|) 'COND)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |code|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (PROGN
                                     (SPADLET |p1| (QCAR |ISTMP#2|))
                                     (SPADLET |ISTMP#3|
                                      (QCDR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCDR |ISTMP#3|) NIL)
                                      (PROGN
                                        (SPADLET |a1| (QCAR |ISTMP#3|))
                                        'T)))))
                            (PROGN
                              (SPADLET |ISTMP#4| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#4|)
+                             (AND (CONSP |ISTMP#4|)
                                   (EQ (QCDR |ISTMP#4|) NIL)
                                   (PROGN
                                     (SPADLET |ISTMP#5|
                                      (QCAR |ISTMP#4|))
-                                    (AND (PAIRP |ISTMP#5|)
+                                    (AND (CONSP |ISTMP#5|)
                                      (EQUAL (QCAR |ISTMP#5|) ''T)
                                      (PROGN
                                        (SPADLET |ISTMP#6|
                                         (QCDR |ISTMP#5|))
-                                       (AND (PAIRP |ISTMP#6|)
+                                       (AND (CONSP |ISTMP#6|)
                                         (EQ (QCDR |ISTMP#6|) NIL)
                                         (PROGN
                                           (SPADLET |a2|
@@ -925,15 +925,15 @@
     (DECLARE (SPECIAL |$opIsIs|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |pattern|
@@ -952,15 +952,15 @@
     (DECLARE (SPECIAL |$opIsIs|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |a| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |pattern|
@@ -988,7 +988,7 @@
         (SPADLET |pattern| (CADDR |t|))
         (SPADLET |mS| (|bottomUp| |a|))
         (COND
-          ((NULL (AND (PAIRP |mS|) (EQ (QCDR |mS|) NIL)
+          ((NULL (AND (CONSP |mS|) (EQ (QCDR |mS|) NIL)
                       (PROGN (SPADLET |m| (QCAR |mS|)) 'T)))
            (|keyedSystemError| 'S2GE0016
                (CONS "upisAndIsnt"
@@ -1013,10 +1013,10 @@
   (declare (special |$env| |$quadSymbol|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |m|) (EQ (QCAR |m|) '|List|)
+             ((NULL (AND (CONSP |m|) (EQ (QCAR |m|) '|List|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |m|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |um| (QCAR |ISTMP#1|))
@@ -1032,11 +1032,11 @@
                               (AND (NULL
                                     (BOOT-EQUAL |pvar| |$quadSymbol|))
                                    (|put| |pvar| '|mode| |um| |$env|)))
-                             ((AND (PAIRP |pvar|)
+                             ((AND (CONSP |pvar|)
                                    (EQ (QCAR |pvar|) '|:|)
                                    (PROGN
                                      (SPADLET |ISTMP#1| (QCDR |pvar|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |var|
@@ -1045,10 +1045,10 @@
                               (AND (NULL
                                     (BOOT-EQUAL |var| |$quadSymbol|))
                                    (|put| |var| '|mode| |m| |$env|)))
-                             ((AND (PAIRP |pvar|) (EQ (QCAR |pvar|) '=)
+                             ((AND (CONSP |pvar|) (EQ (QCAR |pvar|) '=)
                                    (PROGN
                                      (SPADLET |ISTMP#1| (QCDR |pvar|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |var|
@@ -1117,10 +1117,10 @@
              (SEQ (EXIT (COND
                           ((AND (IDENTP |pat|) (|isLocalVar| |pat|))
                            (RETURN 'T))
-                          ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '|:|)
+                          ((AND (CONSP |pat|) (EQ (QCAR |pat|) '|:|)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |pat|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (SPADLET |var|
@@ -1128,10 +1128,10 @@
                                          'T)))
                                 (|isLocalVar| |var|))
                            (RETURN 'T))
-                          ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '=)
+                          ((AND (CONSP |pat|) (EQ (QCAR |pat|) '=)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCDR |pat|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (SPADLET |var|
@@ -1170,19 +1170,19 @@
                (SEQ (EXIT (COND
                             ((AND (IDENTP |pat|) (|isLocalVar| |pat|))
                              (SPADLET |vars| (CONS |pat| |vars|)))
-                            ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '|:|)
+                            ((AND (CONSP |pat|) (EQ (QCAR |pat|) '|:|)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |pat|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |var| (QCAR |ISTMP#1|))
                                        'T))))
                              (SPADLET |vars| (CONS |var| |vars|)))
-                            ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '=)
+                            ((AND (CONSP |pat|) (EQ (QCAR |pat|) '=)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |pat|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (EQ (QCDR |ISTMP#1|) NIL)
                                      (PROGN
                                        (SPADLET |var| (QCAR |ISTMP#1|))
@@ -1306,18 +1306,18 @@
     (RETURN
       (PROGN
         (COND
-          ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '|construct|)
+          ((AND (CONSP |pat|) (EQ (QCAR |pat|) '|construct|)
                 (PROGN (SPADLET |p| (QCDR |pat|)) 'T))
            (SPADLET |pat| |p|)))
         (COND
-          ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '|cons|)
+          ((AND (CONSP |pat|) (EQ (QCAR |pat|) '|cons|)
                 (PROGN
                   (SPADLET |ISTMP#1| (QCDR |pat|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN
                          (SPADLET |a| (QCAR |ISTMP#1|))
                          (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                         (AND (PAIRP |ISTMP#2|)
+                         (AND (CONSP |ISTMP#2|)
                               (EQ (QCDR |ISTMP#2|) NIL)
                               (PROGN
                                 (SPADLET |b| (QCAR |ISTMP#2|))
@@ -1383,21 +1383,21 @@
              ((NULL |l|)
               (COND
                 ((NULL |pats|) |$subs|)
-                ((AND (PAIRP |pats|) (EQ (QCDR |pats|) NIL)
+                ((AND (CONSP |pats|) (EQ (QCDR |pats|) NIL)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCAR |pats|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) '|:|)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |var| (QCAR |ISTMP#2|))
                                       'T))))))
                  (SPADLET |$subs| (CONS (CONS |var| NIL) |$subs|)))
                 ('T (SPADLET |$subs| '|failed|))))
-             ((AND (PAIRP |pats|)
+             ((AND (CONSP |pats|)
                    (PROGN
                      (SPADLET |pat| (QCAR |pats|))
                      (SPADLET |restPats| (QCDR |pats|))
@@ -1407,10 +1407,10 @@
                  (SPADLET |$subs|
                           (CONS (CONS |pat| (CAR |l|)) |$subs|))
                  (|isPatMatch| (CDR |l|) |restPats|))
-                ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '=)
+                ((AND (CONSP |pat|) (EQ (QCAR |pat|) '=)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |pat|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |var| (QCAR |ISTMP#1|))
@@ -1422,10 +1422,10 @@
                        (|isPatMatch| (CDR |l|) |restPats|))
                       ('T (SPADLET |$subs| '|failed|))))
                    ('T (SPADLET |$subs| '|failed|))))
-                ((AND (PAIRP |pat|) (EQ (QCAR |pat|) '|:|)
+                ((AND (CONSP |pat|) (EQ (QCAR |pat|) '|:|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |pat|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |var| (QCAR |ISTMP#1|))
@@ -1510,11 +1510,11 @@
   (declare (special |$Void| |$repeatLabel| |$genValue| |$breakCount|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)))))
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)))))
          NIL)
         ((NULL |$repeatLabel|)
          (|throwKeyedMsg| 'S2IS0029 (CONS "break" NIL)))
@@ -1533,7 +1533,7 @@
 ;  -- binding
 ;  t isnt [op,lhs,rhs] => nil
 ;  $declaredMode: local := NIL
-;  PAIRP lhs =>
+;  CONSP lhs =>
 ;    var:= getUnname first lhs
 ;    var = 'construct => upLETWithPatternOnLhs t
 ;    var = 'QUOTE => throwKeyedMsg("S2IS0027",['"A quoted form"])
@@ -1576,15 +1576,15 @@
                       |$immediateDataSymbol|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |lhs| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |rhs| (QCAR |ISTMP#2|))
@@ -1592,7 +1592,7 @@
          NIL)
         ('T (SPADLET |$declaredMode| NIL)
          (COND
-           ((PAIRP |lhs|) (SPADLET |var| (|getUnname| (CAR |lhs|)))
+           ((CONSP |lhs|) (SPADLET |var| (|getUnname| (CAR |lhs|)))
             (COND
               ((BOOT-EQUAL |var| '|construct|)
                (|upLETWithPatternOnLhs| |t|))
@@ -1671,7 +1671,7 @@
     (RETURN
       (COND
         ((NEQUAL (|getUnname| |f|) '|Tuple|) NIL)
-        ((AND (PAIRP |f|)
+        ((AND (CONSP |f|)
               (PROGN
                 (SPADLET |op| (QCAR |f|))
                 (SPADLET |args| (QCDR |f|))
@@ -1729,7 +1729,7 @@
           ((OR (AND (NULL (|getMode| |lhs|))
                     (PROGN
                       (SPADLET |ISTMP#1| (|getModeSet| |rhs|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL))))
                (|get| (|getUnname| |lhs|) '|autoDeclare| |$env|))
            (SPADLET |v|
                     (COND
@@ -1955,7 +1955,7 @@
 ;evalLETchangeValue(name,value) ==
 ;  -- write the value of name into the environment, clearing dependent
 ;  --  maps if its type changes from its last value
-;  localEnv := PAIRP $env
+;  localEnv := CONSP $env
 ;  clearCompilationsFlag :=
 ;    val:= (localEnv and get(name,'value,$env)) or get(name,'value,$e)
 ;    null val =>
@@ -1973,7 +1973,7 @@
   (declare (special |$e| |$env|))
     (RETURN
       (PROGN
-        (SPADLET |localEnv| (PAIRP |$env|))
+        (SPADLET |localEnv| (CONSP |$env|))
         (SPADLET |clearCompilationsFlag|
                  (PROGN
                    (SPADLET |val|
@@ -2146,7 +2146,7 @@
            (|altSeteltable| (APPEND |argl| (CONS |rhs| NIL))))
           ((AND (PROGN
                   (SPADLET |ISTMP#1| (|get| |g| '|value| |$e|))
-                  (AND (PAIRP |ISTMP#1|)
+                  (AND (CONSP |ISTMP#1|)
                        (PROGN (SPADLET |expr| (QCAR |ISTMP#1|)) 'T)))
                 (|isMapExpr| |expr|))
            NIL)
@@ -2154,7 +2154,7 @@
            (COND
              ((OR (|getValue| |lhs|) (|getMode| |lhs|))
               (COND
-                ((AND (PAIRP |f|)
+                ((AND (CONSP |f|)
                       (PROGN
                         (SPADLET |f'| (QCAR |f|))
                         (SPADLET |argl'| (QCDR |f|))
@@ -2613,11 +2613,11 @@
   (declare (special |$OutputForm|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN
                              (SPADLET |expr| (QCAR |ISTMP#1|))
                              'T)))))
@@ -2664,15 +2664,15 @@
   (PROG (|op| |ISTMP#1| |expr| |ISTMP#2| |type| |mode|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |expr| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |type| (QCAR |ISTMP#2|))
@@ -2723,10 +2723,10 @@
     (RETURN
       (SEQ (PROGN
              (COND
-               ((AND (PAIRP |type|) (EQ (QCAR |type|) '|Variable|)
+               ((AND (CONSP |type|) (EQ (QCAR |type|) '|Variable|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |type|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |var| (QCAR |ISTMP#1|))
                               'T))))
@@ -2880,26 +2880,26 @@
                             (SEQ (EXIT (SETQ G167816
                                         (APPEND G167816
                                          (COND
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'STEP)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |index|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (PROGN
                                                      (SPADLET |lower|
                                                       (QCAR |ISTMP#2|))
                                                      (SPADLET |ISTMP#3|
                                                       (QCDR |ISTMP#2|))
                                                      (AND
-                                                      (PAIRP |ISTMP#3|)
+                                                      (CONSP |ISTMP#3|)
                                                       (PROGN
                                                         (SPADLET |step|
                                                          (QCAR
@@ -2944,19 +2944,19 @@
                                                             |upper|)
                                                            G167866)))))))))))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'IN)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |index|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -2969,19 +2969,19 @@
                                                (CONS (|mkAtree1| |s|)
                                                 NIL)))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'ON)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |index|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -2997,12 +2997,12 @@
                                                   (CONS |s| NIL)))
                                                 NIL)))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) 'WHILE)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -3014,12 +3014,12 @@
                                               (CONS (|mkAtree1| |b|)
                                                NIL))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (EQ (QCAR |it|) '|\||)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |it|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (EQ (QCDR |ISTMP#1|)
                                                  NIL)
                                                 (PROGN
@@ -3031,7 +3031,7 @@
                                               (CONS (|mkAtree1| |pred|)
                                                NIL))
                                              NIL))
-                                           ((AND (PAIRP |it|)
+                                           ((AND (CONSP |it|)
                                              (PROGN
                                                (SPADLET |op|
                                                 (QCAR |it|))
@@ -3058,24 +3058,24 @@
                                      (SETQ G167877
                                       (APPEND G167877
                                        (COND
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'STEP))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'IN))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'ON))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) 'WHILE))
                                           NIL)
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (PROGN
                                              (SPADLET |op| (QCAR |it|))
                                              (SPADLET |ISTMP#1|
                                               (QCDR |it|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (EQ (QCDR |ISTMP#1|) NIL)
                                               (PROGN
                                                 (SPADLET |b|
@@ -3087,12 +3087,12 @@
                                            (CONS |op|
                                             (CONS (|mkAtree1| |b|) NIL))
                                            NIL))
-                                         ((AND (PAIRP |it|)
+                                         ((AND (CONSP |it|)
                                            (EQ (QCAR |it|) '|\||)
                                            (PROGN
                                              (SPADLET |ISTMP#1|
                                               (QCDR |it|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (EQ (QCDR |ISTMP#1|) NIL)
                                               (PROGN
                                                 (SPADLET |pred|
@@ -3177,16 +3177,16 @@
   (declare (special |$interpOnly| |$Void| |$breakCount|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |ISTMP#2|
                                            (REVERSE |ISTMP#1|))
                                   'T)
-                                (PAIRP |ISTMP#2|)
+                                (CONSP |ISTMP#2|)
                                 (PROGN
                                   (SPADLET |body| (QCAR |ISTMP#2|))
                                   (SPADLET |itrl| (QCDR |ISTMP#2|))
@@ -3213,12 +3213,12 @@
                                  NIL))
                            NIL)
                         (SEQ (EXIT (COND
-                                     ((AND (PAIRP |itr|)
+                                     ((AND (CONSP |itr|)
                                        (EQ (QCAR |itr|) 'UNTIL)
                                        (PROGN
                                          (SPADLET |ISTMP#1|
                                           (QCDR |itr|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (EQ (QCDR |ISTMP#1|) NIL)
                                           (PROGN
                                             (SPADLET |pred|
@@ -3466,11 +3466,11 @@
                     |$mapName| |$mapTarget| |$interpOnly| |$compilingMap|))
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |t|)
+        ((NULL (AND (CONSP |t|)
                     (PROGN
                       (SPADLET |op| (QCAR |t|))
                       (SPADLET |ISTMP#1| (QCDR |t|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN (SPADLET |val| (QCAR |ISTMP#1|)) 'T)))))
          NIL)
         ((AND (NULL |$compilingMap|) (NULL |$interpOnly|))
@@ -3515,7 +3515,7 @@
   (PROG (|op| |args| |target| |m|)
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |u|)
+             ((NULL (AND (CONSP |u|)
                          (PROGN
                            (SPADLET |op| (QCAR |u|))
                            (SPADLET |args| (QCDR |u|))
@@ -3592,7 +3592,7 @@
                                                (CONS |av| |bodyCode|)))))))))))
                               (SPADLET |code|
                                        (COND
-                                         ((AND (PAIRP |bodyCode|)
+                                         ((AND (CONSP |bodyCode|)
                                            (EQ (QCDR |bodyCode|) NIL)
                                            (PROGN
                                              (SPADLET |c|
@@ -3615,7 +3615,7 @@
 ;  null l => upNullTuple(op,l,tar)
 ;  isTaggedUnion tar => upTaggedUnionConstruct(op,l,tar)
 ;  aggs := '(List)
-;  if tar and PAIRP(tar) and ^isPartialMode(tar) then
+;  if tar and CONSP(tar) and ^isPartialMode(tar) then
 ;    CAR(tar) in aggs =>
 ;      ud := CADR tar
 ;      for x in l repeat if not getTarget(x) then putTarget(x,ud)
@@ -3635,7 +3635,7 @@
               |ISTMP#1| |ud| |mode| |tar|)
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |l| (QCDR |t|))
@@ -3649,7 +3649,7 @@
                  (|upTaggedUnionConstruct| |op| |l| |tar|))
                 ('T (SPADLET |aggs| '(|List|))
                  (COND
-                   ((AND |tar| (PAIRP |tar|)
+                   ((AND |tar| (CONSP |tar|)
                          (NULL (|isPartialMode| |tar|)))
                     (COND
                       ((|member| (CAR |tar|) |aggs|)
@@ -3711,11 +3711,11 @@
                                        (CONS (CAR |x|) G168244)))))))
                               |l|))
                  (COND
-                   ((AND (NULL (|isPartialMode| |tar|)) (PAIRP |tar|)
+                   ((AND (NULL (|isPartialMode| |tar|)) (CONSP |tar|)
                          (EQ (QCAR |tar|) '|Tuple|)
                          (PROGN
                            (SPADLET |ISTMP#1| (QCDR |tar|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |ud| (QCAR |ISTMP#1|))
@@ -3817,11 +3817,11 @@
       (PROGN
         (SPADLET |defMode|
                  (COND
-                   ((AND |tar| (PAIRP |tar|)
+                   ((AND |tar| (CONSP |tar|)
                          (PROGN
                            (SPADLET |a| (QCAR |tar|))
                            (SPADLET |ISTMP#1| (QCDR |tar|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCDR |ISTMP#1|) NIL)
                                 (PROGN
                                   (SPADLET |b| (QCAR |ISTMP#1|))
@@ -3859,11 +3859,11 @@
   (PROG (|op| |ISTMP#1| |arg| |LETTMP#1| |m| |t|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |form|)
+        ((NULL (AND (CONSP |form|)
                     (PROGN
                       (SPADLET |op| (QCAR |form|))
                       (SPADLET |ISTMP#1| (QCDR |form|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN (SPADLET |arg| (QCAR |ISTMP#1|)) 'T)))))
          NIL)
         ('T
@@ -3925,15 +3925,15 @@
     (DECLARE (SPECIAL |$whereCacheList| |$env| |$e| |$genValue|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |t|)
+             ((NULL (AND (CONSP |t|)
                          (PROGN
                            (SPADLET |op| (QCAR |t|))
                            (SPADLET |ISTMP#1| (QCDR |t|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |tree| (QCAR |ISTMP#1|))
                                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                  (AND (PAIRP |ISTMP#2|)
+                                  (AND (CONSP |ISTMP#2|)
                                        (EQ (QCDR |ISTMP#2|) NIL)
                                        (PROGN
                                          (SPADLET |clause|
@@ -4080,7 +4080,7 @@
 (EVALANDFILEACTQ
     (REPEAT (IN |name| |$specialOps|)
             (SEQ (SPADLET |functionName| (INTERNL '|up| |name|))
-                 (MAKEPROP |name| '|up| |functionName|)
+                 (setf (get |name| '|up|) |functionName|)
                  (EXIT |functionName|))))
 
 \end{chunk}
diff -Nru axiom-20110301a/src/interp/iterator.lisp.pamphlet axiom-20111101/src/interp/iterator.lisp.pamphlet
--- axiom-20110301a/src/interp/iterator.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/iterator.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -22,7 +22,7 @@
       (SEQ (COND
              ((PROGN
                 (SPADLET |ISTMP#1| (GETL |x| 'THETA))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T)))
               (EXIT |y|)))))))
 
@@ -55,11 +55,11 @@
   (PROG (|a| |ISTMP#1| |b|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |a| (QCAR |x|))
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |b| (QCAR |ISTMP#1|)) 'T)))
                    (|member| |a| '(|PrimitiveArray| |Vector| |List|)))
               (EXIT |b|)))))))
@@ -147,14 +147,14 @@
                     |$NonNegativeInteger| |$SmallInteger| |$formalArgList|))
     (RETURN
       (COND
-        ((AND (PAIRP |it|) (EQ (QCAR |it|) 'IN)
+        ((AND (CONSP |it|) (EQ (QCAR |it|) 'IN)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |it|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |x| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) 'T))))))
          (SPADLET |LETTMP#1|
                   (OR (|comp| |y| |$EmptyMode| |e|) (RETURN NIL)))
@@ -194,14 +194,14 @@
          (SPADLET |m''| (CADR |LETTMP#1|))
          (SPADLET |e| (CADDR |LETTMP#1|))
          (CONS (CONS 'IN (CONS |x| (CONS |y''| NIL))) (CONS |e| NIL)))
-        ((AND (PAIRP |it|) (EQ (QCAR |it|) 'ON)
+        ((AND (CONSP |it|) (EQ (QCAR |it|) 'ON)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |it|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |x| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) 'T))))))
          (SPADLET |$formalArgList| (CONS |x| |$formalArgList|))
          (SPADLET |LETTMP#1|
@@ -241,18 +241,18 @@
          (SPADLET |m''| (CADR |LETTMP#1|))
          (SPADLET |e| (CADDR |LETTMP#1|))
          (CONS (CONS 'ON (CONS |x| (CONS |y''| NIL))) (CONS |e| NIL)))
-        ((AND (PAIRP |it|) (EQ (QCAR |it|) 'STEP)
+        ((AND (CONSP |it|) (EQ (QCAR |it|) 'STEP)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |it|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |index| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |start| (QCAR |ISTMP#2|))
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (PROGN
                                      (SPADLET |inc| (QCAR |ISTMP#3|))
                                      (SPADLET |optFinal|
@@ -266,7 +266,7 @@
                  (SPADLET |inc'|
                           (|comp| |inc| |$NonNegativeInteger|
                                   (CADDR |start'|)))
-                 (OR (NULL (AND (PAIRP |optFinal|)
+                 (OR (NULL (AND (CONSP |optFinal|)
                                 (EQ (QCDR |optFinal|) NIL)
                                 (PROGN
                                   (SPADLET |final| (QCAR |optFinal|))
@@ -324,7 +324,7 @@
             (SPADLET |inc| (CAR |LETTMP#1|))
             (SPADLET |e| (CADDR |LETTMP#1|))
             (COND
-              ((AND (PAIRP |optFinal|) (EQ (QCDR |optFinal|) NIL)
+              ((AND (CONSP |optFinal|) (EQ (QCDR |optFinal|) NIL)
                     (PROGN (SPADLET |final| (QCAR |optFinal|)) 'T))
                (SPADLET |LETTMP#1|
                         (OR (|comp| |final| |$Integer| |e|)
@@ -361,10 +361,10 @@
                         (CONS |index|
                               (CONS |start| (CONS |inc| |optFinal|))))
                   (CONS |e| NIL)))))
-        ((AND (PAIRP |it|) (EQ (QCAR |it|) 'WHILE)
+        ((AND (CONSP |it|) (EQ (QCAR |it|) 'WHILE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |it|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |p| (QCAR |ISTMP#1|)) 'T))))
          (SPADLET |LETTMP#1|
                   (OR (|comp| |p| |$Boolean| |e|)
@@ -378,16 +378,16 @@
          (SPADLET |m| (CADR |LETTMP#1|))
          (SPADLET |e| (CADDR |LETTMP#1|))
          (CONS (CONS 'WHILE (CONS |p'| NIL)) (CONS |e| NIL)))
-        ((AND (PAIRP |it|) (EQ (QCAR |it|) 'UNTIL)
+        ((AND (CONSP |it|) (EQ (QCAR |it|) 'UNTIL)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |it|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |p| (QCAR |ISTMP#1|)) 'T))))
          (SPADLET |$until| |p|) (CONS '|$until| (CONS |e| NIL)))
-        ((AND (PAIRP |it|) (EQ (QCAR |it|) '|\||)
+        ((AND (CONSP |it|) (EQ (QCAR |it|) '|\||)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |it|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T))))
          (SPADLET |u|
                   (OR (|comp| |x| |$Boolean| |e|)
@@ -487,13 +487,13 @@
              R)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |m|) (EQUAL (QCAR |m|) |ListOrVector|)
+             ((AND (CONSP |m|) (EQUAL (QCAR |m|) |ListOrVector|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |m|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET R (QCAR |ISTMP#1|)) 'T))))
               (CONS |m| (CONS R NIL)))
-             ((AND (PAIRP |m|) (EQ (QCAR |m|) '|Union|)
+             ((AND (CONSP |m|) (EQ (QCAR |m|) '|Union|)
                    (PROGN (SPADLET |l| (QCDR |m|)) 'T))
               (SPADLET |mList|
                        (PROG (G166653)
@@ -516,7 +516,7 @@
              ('T
               (SPADLET |name|
                        (COND
-                         ((AND (PAIRP |m|)
+                         ((AND (CONSP |m|)
                                (PROGN (SPADLET |fn| (QCAR |m|)) 'T))
                           |fn|)
                          ((BOOT-EQUAL |m| '$) '|Rep|)
@@ -524,14 +524,14 @@
               (COND
                 ((PROGN
                    (SPADLET |ISTMP#1| (|get| |name| '|value| |e|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (EQUAL (QCAR |ISTMP#2|) |ListOrVector|)
                                (PROGN
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET R (QCAR |ISTMP#3|))
diff -Nru axiom-20110301a/src/interp/i-util.lisp.pamphlet axiom-20111101/src/interp/i-util.lisp.pamphlet
--- axiom-20110301a/src/interp/i-util.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/i-util.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -31,7 +31,7 @@
 ;isWrapped x == x is ['WRAPPED,:.] or NUMBERP x or FLOATP x or CVECP x
 
 (DEFUN |isWrapped| (|x|)
-  (OR (AND (PAIRP |x|) (EQ (QCAR |x|) 'WRAPPED)) (NUMBERP |x|)
+  (OR (AND (CONSP |x|) (EQ (QCAR |x|) 'WRAPPED)) (NUMBERP |x|)
       (FLOATP |x|) (stringp |x|)))
 
 ;unwrap x ==
@@ -44,7 +44,7 @@
     (RETURN
       (COND
         ((OR (NUMBERP |x|) (FLOATP |x|) (stringp |x|)) |x|)
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'WRAPPED)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'WRAPPED)
               (PROGN (SPADLET |y| (QCDR |x|)) 'T))
          |y|)
         ('T |x|)))))
@@ -57,7 +57,7 @@
   (PROG (|y|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'WRAPPED)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'WRAPPED)
               (PROGN (SPADLET |y| (QCDR |x|)) 'T))
          (MKQ |y|))
         ('T |x|)))))
@@ -70,10 +70,10 @@
   (PROG (|ISTMP#1| |y|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          (|wrap| |y|))
         ('T |x|)))))
@@ -86,10 +86,10 @@
   (PROG (|ISTMP#1| |y|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          |y|)
         ('T |x|)))))
@@ -245,12 +245,6 @@
            0)
           ('T (RPLACD |p| (PLUS 1 (CDR |p|))) (CDR |p|)))))))
 
-;newType? t == nil
-
-(DEFUN |newType?| (|t|)
- (declare (ignore |t|))
- nil) 
-
 ;-- functions used at run-time which were formerly in the compiler files
 ;Undef(:u) ==
 ;  u':= LAST u
@@ -326,7 +320,7 @@
         ((AND (QSGREATERP (QVSIZE |d|) 5)
               (PROGN
                 (SPADLET |ISTMP#1| (QREFELT |d| 3))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (EQ (QCAR |ISTMP#1|) '|Category|))))
          (QREFELT |d| 0))
         ((QSGREATERP (QVSIZE |d|) 0) (SPADLET |d'| (QREFELT |d| 0))
@@ -365,70 +359,12 @@
         (SPADLET |sig| (CADR G166208))
         (|compiledLookup| |op| |sig| |domain|)))))
 
-;--HasCategory(domain,catform') ==
-;--  catform' is ['SIGNATURE,:f] => HasSignature(domain,f)
-;--  catform' is ['ATTRIBUTE,f] => HasAttribute(domain,f)
-;--  catform:= devaluate catform'
-;--  domain0:=domain.0
-;--  isNewWorldDomain domain => newHasCategory(domain,catform)
-;--  slot4 := domain.4
-;--  catlist := slot4.1
-;--  member(catform,catlist) or
-;--   MEMQ(opOf(catform),'(Object Type)) or  --temporary hack
-;--    or/[compareSigEqual(catform,cat,domain0,domain) for cat in catlist]
-;
-;addModemap(op,mc,sig,pred,fn,$e) ==
-;  $InteractiveMode => $e
-;  if knownInfo pred then pred:=true
-;  $insideCapsuleFunctionIfTrue=true =>
-;    $CapsuleModemapFrame :=
-;      addModemap0(op,mc,sig,pred,fn,$CapsuleModemapFrame)
-;    $e
-;  addModemap0(op,mc,sig,pred,fn,$e)
-
-(DEFUN |addModemap| (|op| |mc| |sig| |pred| |fn| |$e|)
-  (DECLARE (SPECIAL |$e| |$CapsuleModemapFrame| |$InteractiveMode|
-                    |$insideCapsuleFunctionIfTrue|))
-  (COND
-    (|$InteractiveMode| |$e|)
-    ('T (COND ((|knownInfo| |pred|) (SPADLET |pred| 'T)))
-     (COND
-       ((BOOT-EQUAL |$insideCapsuleFunctionIfTrue| 'T)
-        (SPADLET |$CapsuleModemapFrame|
-                 (|addModemap0| |op| |mc| |sig| |pred| |fn|
-                     |$CapsuleModemapFrame|))
-        |$e|)
-       ('T (|addModemap0| |op| |mc| |sig| |pred| |fn| |$e|))))))
-
-;isCapitalWord x ==
-;  (y := PNAME x) and and/[UPPER_-CASE_-P y.i for i in 0..MAXINDEX y]
-
-(DEFUN |isCapitalWord| (|x|)
-  (PROG (|y|)
-    (RETURN
-      (SEQ (AND (SPADLET |y| (PNAME |x|))
-                (PROG (G166230)
-                  (SPADLET G166230 'T)
-                  (RETURN
-                    (DO ((G166236 NIL (NULL G166230))
-                         (G166237 (MAXINDEX |y|))
-                         (|i| 0 (QSADD1 |i|)))
-                        ((OR G166236 (QSGREATERP |i| G166237))
-                         G166230)
-                      (SEQ (EXIT (SETQ G166230
-                                   (AND G166230
-                                    (UPPER-CASE-P (ELT |y| |i|))))))))))))))
-
 ;domainEqual(a,b) ==
 ;  devaluate(a) = devaluate(b)
 
 (DEFUN |domainEqual| (|a| |b|)
   (BOOT-EQUAL (|devaluate| |a|) (|devaluate| |b|)))
 
-;lispize x == first optimize [x]
-
-(DEFUN |lispize| (|x|) (CAR (|optimize| (CONS |x| NIL))))
-
 ;$newCompilerUnionFlag := true
 
 (SPADLET |$newCompilerUnionFlag| 'T)
@@ -447,7 +383,7 @@
 (DEFUN |orderUnionEntries,split| (|l| |a| |b|)
   (PROG (|x| |l'|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |l|)
+      (SEQ (IF (AND (CONSP |l|)
                     (PROGN
                       (SPADLET |x| (QCAR |l|))
                       (SPADLET |l'| (QCDR |l|))
@@ -468,13 +404,13 @@
         (|$newCompilerUnionFlag| |l|)
         ((PROGN
            (SPADLET |ISTMP#1| (CAR |l|))
-           (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
+           (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
                 (PROGN
                   (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                  (AND (PAIRP |ISTMP#2|)
+                  (AND (CONSP |ISTMP#2|)
                        (PROGN
                          (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                         (AND (PAIRP |ISTMP#3|)
+                         (AND (CONSP |ISTMP#3|)
                               (EQ (QCDR |ISTMP#3|) NIL)))))))
          |l|)
         ('T
@@ -552,13 +488,13 @@
                                          G166340))))))))
              ((PROGN
                 (SPADLET |ISTMP#1| (CAR |listOfEntries|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
+                (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|:|)
                      (PROGN
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCDR |ISTMP#3|) NIL)))))))
               (PROG (G166357)
                 (SPADLET G166357 NIL)
@@ -722,19 +658,6 @@
                                         G166448))))))))))
               |predList|))))))
 
-;TruthP x ==
-;    --True if x is a predicate that's always true
-;  x is nil => nil
-;  x=true => true
-;  x is ['QUOTE,:.] => true
-;  nil
-
-(DEFUN |TruthP| (|x|)
-  (COND
-    ((NULL |x|) NIL)
-    ((BOOT-EQUAL |x| 'T) 'T)
-    ((AND (PAIRP |x|) (EQ (QCAR |x|) 'QUOTE)) 'T)
-    ('T NIL)))
 
 \end{chunk}
 \eject
diff -Nru axiom-20110301a/src/interp/lisplib.lisp.pamphlet axiom-20111101/src/interp/lisplib.lisp.pamphlet
--- axiom-20110301a/src/interp/lisplib.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/lisplib.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -24,31 +24,6 @@
 (DEFUN |isExistingFile| (|f|)
   (COND ((MAKE-INPUT-FILENAME |f|) 'T) ('T NIL)))
 
-;isSystemDirectory dir == EVERY(function CHAR_=,$SPADROOT,dir)
-
-(DEFUN |isSystemDirectory| (|dir|)
-  (declare (special $SPADROOT))
-  (EVERY (|function| CHAR=) $SPADROOT |dir|))
-
-;--% Standard Library Creation Functions
-;
-;readLib(fn,ft) == readLib1(fn,ft,"*")
-
-(DEFUN |readLib| (|fn| |ft|) (|readLib1| |fn| |ft| '*))
-
-;readLib1(fn,ft,fm) ==
-;  -- see if it exists first
-;  p := pathname [fn,ft,fm]
-;  readLibPathFast p
-
-(DEFUN |readLib1| (|fn| |ft| |fm|)
-  (PROG (|p|)
-    (RETURN
-      (PROGN
-        (SPADLET |p|
-                 (|pathname| (CONS |fn| (CONS |ft| (CONS |fm| NIL)))))
-        (|readLibPathFast| |p|)))))
-
 ;readLibPathFast p ==
 ;  -- assumes 1) p is a valid pathname
 ;  --         2) file has already been checked for existence
@@ -57,82 +32,6 @@
 (DEFUN |readLibPathFast| (|p|)
   (RDEFIOSTREAM (CONS (CONS 'FILE |p|) (CONS '(MODE . INPUT) NIL)) NIL))
 
-;writeLib(fn,ft) == writeLib1(fn,ft,"*")
-
-(DEFUN |writeLib| (|fn| |ft|) (|writeLib1| |fn| |ft| '*))
-
-;writeLib1(fn,ft,fm) == RDEFIOSTREAM [['FILE,fn,ft,fm],'(MODE . OUTPUT)]
-
-(DEFUN |writeLib1| (|fn| |ft| |fm|)
-  (RDEFIOSTREAM
-      (CONS (CONS 'FILE (CONS |fn| (CONS |ft| (CONS |fm| NIL))))
-            (CONS '(MODE . OUTPUT) NIL))))
-
-;putFileProperty(fn,ft,id,val) ==
-;  fnStream:= writeLib1(fn,ft,"*")
-;  val:= rwrite( id,val,fnStream)
-;  RSHUT fnStream
-;  val
-
-(DEFUN |putFileProperty| (|fn| |ft| |id| |val|)
-  (PROG (|fnStream|)
-    (RETURN
-      (PROGN
-        (SPADLET |fnStream| (|writeLib1| |fn| |ft| '*))
-        (SPADLET |val| (|rwrite| |id| |val| |fnStream|))
-        (RSHUT |fnStream|)
-        |val|))))
-
-;lisplibWrite(prop,val,filename) ==
-;  -- this may someday not write NIL keys, but it will now
-;  if $LISPLIB then
-;     rwrite128(prop,val,filename)
-
-(DEFUN |lisplibWrite| (|prop| |val| |filename|)
-  (declare (special $LISPLIB))
-  (COND ($LISPLIB (|rwrite128| |prop| |val| |filename|)) ('T NIL)))
-
-;rwrite128(key,value,stream) ==
-;  rwrite(key,value,stream)
-
-(DEFUN |rwrite128| (|key| |value| |stream|)
-  (|rwrite| |key| |value| |stream|))
-
-;evalAndRwriteLispForm(key,form) ==
-;  eval form
-;  rwriteLispForm(key,form)
-
-(DEFUN |evalAndRwriteLispForm| (|key| |form|)
-  (PROGN (|eval| |form|) (|rwriteLispForm| |key| |form|)))
-
-;rwriteLispForm(key,form) ==
-;  if $LISPLIB then
-;    rwrite( key,form,$libFile)
-;    LAM_,FILEACTQ(key,form)
-
-(DEFUN |rwriteLispForm| (|key| |form|)
-  (declare (special |$libFile| $LISPLIB))
-  (COND
-    ($LISPLIB (|rwrite| |key| |form| |$libFile|)
-        (|LAM,FILEACTQ| |key| |form|))
-    ('T NIL)))
-
-;getLisplib(name,id) ==
-;  -- this version does cache the returned value
-;  getFileProperty(name,$spadLibFT,id,true)
-
-(DEFUN |getLisplib| (|name| |id|)
-  (declare (special |$spadLibFT|))
-  (|getFileProperty| |name| |$spadLibFT| |id| 'T))
-
-;getLisplibNoCache(name,id) ==
-;  -- this version does not cache the returned value
-;  getFileProperty(name,$spadLibFT,id,false)
-
-(DEFUN |getLisplibNoCache| (|name| |id|)
-  (declare (special |$spadLibFT|))
-  (|getFileProperty| |name| |$spadLibFT| |id| NIL))
-
 ;getFileProperty(fn,ft,id,cache) ==
 ;  fn in '(DOMAIN SUBDOM MODE) => nil
 ;  p := pathname [fn,ft,'"*"]
@@ -240,7 +139,7 @@
   (PROG (|op| |argl|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |op| (QCAR |form|))
                      (SPADLET |argl| (QCDR |form|))
@@ -278,329 +177,6 @@
     ((GETL |libName| 'LOADED) NIL)
     ('T (|loadLib| |libName|))))
 
-;loadLib cname ==
-;  startTimingProcess 'load
-;  fullLibName := GETDATABASE(cname,'OBJECT) or return nil
-;  systemdir? := isSystemDirectory(pathnameDirectory fullLibName)
-;  update? := $forceDatabaseUpdate or not systemdir?
-;  not update? =>
-;     loadLibNoUpdate(cname, cname, fullLibName)
-;  kind := GETDATABASE(cname,'CONSTRUCTORKIND)
-;  if $printLoadMsgs then
-;    sayKeyedMsg("S2IL0002",[namestring fullLibName,kind,cname])
-;  LOAD(fullLibName)
-;  clearConstructorCache cname
-;  updateDatabase(cname,cname,systemdir?)
-;  installConstructor(cname,kind)
-;  u := GETDATABASE(cname, 'CONSTRUCTORMODEMAP)
-;  updateCategoryTable(cname,kind)
-;  coSig :=
-;      u =>
-;          [[.,:sig],:.] := u
-;          CONS(NIL,[categoryForm?(x) for x in CDR sig])
-;      NIL
-;  -- in following, add property value false or NIL to possibly clear
-;  -- old value
-;  if null CDR GETDATABASE(cname,'CONSTRUCTORFORM) then
-;      MAKEPROP(cname,'NILADIC,'T)
-;    else
-;      REMPROP(cname,'NILADIC)
-;  MAKEPROP(cname,'LOADED,fullLibName)
-;  if $InteractiveMode then $CategoryFrame := [[nil]]
-;  stopTimingProcess 'load
-;  'T
-
-(DEFUN |loadLib| (|cname|)
-  (PROG (|fullLibName| |systemdir?| |update?| |kind| |u| |sig| |coSig|)
-  (declare (special |$CategoryFrame| |$InteractiveMode| |$printLoadMsgs|
-                    |$forceDatabaseUpdate|))
-    (RETURN
-      (SEQ (PROGN
-             (|startTimingProcess| '|load|)
-             (SPADLET |fullLibName|
-                      (OR (GETDATABASE |cname| 'OBJECT) (RETURN NIL)))
-             (SPADLET |systemdir?|
-                      (|isSystemDirectory|
-                          (|pathnameDirectory| |fullLibName|)))
-             (SPADLET |update?|
-                      (OR |$forceDatabaseUpdate| (NULL |systemdir?|)))
-             (COND
-               ((NULL |update?|)
-                (|loadLibNoUpdate| |cname| |cname| |fullLibName|))
-               ('T
-                (SPADLET |kind| (GETDATABASE |cname| 'CONSTRUCTORKIND))
-                (COND
-                  (|$printLoadMsgs|
-                      (|sayKeyedMsg| 'S2IL0002
-                          (CONS (|namestring| |fullLibName|)
-                                (CONS |kind| (CONS |cname| NIL))))))
-                (LOAD |fullLibName|) (|clearConstructorCache| |cname|)
-                (|updateDatabase| |cname| |cname| |systemdir?|)
-                (|installConstructor| |cname| |kind|)
-                (SPADLET |u| (GETDATABASE |cname| 'CONSTRUCTORMODEMAP))
-                (|updateCategoryTable| |cname| |kind|)
-                (SPADLET |coSig|
-                         (COND
-                           (|u| (SPADLET |sig| (CDAR |u|))
-                                (CONS NIL
-                                      (PROG (G166197)
-                                        (SPADLET G166197 NIL)
-                                        (RETURN
-                                          (DO
-                                           ((G166202 (CDR |sig|)
-                                             (CDR G166202))
-                                            (|x| NIL))
-                                           ((OR (ATOM G166202)
-                                             (PROGN
-                                               (SETQ |x|
-                                                (CAR G166202))
-                                               NIL))
-                                            (NREVERSE0 G166197))
-                                            (SEQ
-                                             (EXIT
-                                              (SETQ G166197
-                                               (CONS
-                                                (|categoryForm?| |x|)
-                                                G166197)))))))))
-                           ('T NIL)))
-                (COND
-                  ((NULL (CDR (GETDATABASE |cname| 'CONSTRUCTORFORM)))
-                   (MAKEPROP |cname| 'NILADIC 'T))
-                  ('T (REMPROP |cname| 'NILADIC)))
-                (MAKEPROP |cname| 'LOADED |fullLibName|)
-                (COND
-                  (|$InteractiveMode|
-                      (SPADLET |$CategoryFrame|
-                               (CONS (CONS NIL NIL) NIL))))
-                (|stopTimingProcess| '|load|) 'T)))))))
-
-;loadLibNoUpdate(cname, libName, fullLibName) ==
-;  kind := GETDATABASE(cname,'CONSTRUCTORKIND)
-;  if $printLoadMsgs then
-;    sayKeyedMsg("S2IL0002",[namestring fullLibName,kind,cname])
-;  if CATCH('VERSIONCHECK,LOAD(fullLibName)) = -1
-;    then
-;      PRINC('"   wrong library version...recompile ")
-;      PRINC(fullLibName)
-;      TERPRI()
-;      TOPLEVEL()
-;    else
-;     clearConstructorCache cname
-;     installConstructor(cname,kind)
-;     MAKEPROP(cname,'LOADED,fullLibName)
-;     if $InteractiveMode then $CategoryFrame := [[nil]]
-;     stopTimingProcess 'load
-;  'T
-
-(DEFUN |loadLibNoUpdate| (|cname| |libName| |fullLibName|)
-  (declare (ignore |libName|))
-  (PROG (|kind|)
-  (declare (special |$CategoryFrame| |$InteractiveMode| |$printLoadMsgs|))
-    (RETURN
-      (PROGN
-        (SPADLET |kind| (GETDATABASE |cname| 'CONSTRUCTORKIND))
-        (COND
-          (|$printLoadMsgs|
-              (|sayKeyedMsg| 'S2IL0002
-                  (CONS (|namestring| |fullLibName|)
-                        (CONS |kind| (CONS |cname| NIL))))))
-        (COND
-          ((BOOT-EQUAL (CATCH 'VERSIONCHECK (LOAD |fullLibName|))
-               (SPADDIFFERENCE 1))
-           (PRINC "   wrong library version...recompile ")
-           (PRINC |fullLibName|) (TERPRI) (TOPLEVEL))
-          ('T (|clearConstructorCache| |cname|)
-           (|installConstructor| |cname| |kind|)
-           (MAKEPROP |cname| 'LOADED |fullLibName|)
-           (COND
-             (|$InteractiveMode|
-                 (SPADLET |$CategoryFrame| (CONS (CONS NIL NIL) NIL))))
-           (|stopTimingProcess| '|load|)))
-        'T))))
-
-;loadIfNecessary u == loadLibIfNecessary(u,true)
-
-(DEFUN |loadIfNecessary| (|u|) (|loadLibIfNecessary| |u| 'T))
-
-;loadIfNecessaryAndExists u == loadLibIfNecessary(u,nil)
-
-(DEFUN |loadIfNecessaryAndExists| (|u|)
-  (|loadLibIfNecessary| |u| NIL))
-
-;loadLibIfNecessary(u,mustExist) ==
-;  u = '$EmptyMode => u
-;  null atom u => loadLibIfNecessary(first u,mustExist)
-;  value:=
-;    functionp(u) or macrop(u) => u
-;    GET(u,'LOADED) => u
-;    loadLib u => u
-;  null $InteractiveMode and ((null (y:= getProplist(u,$CategoryFrame)))
-;    or (null LASSOC('isFunctor,y)) and (null LASSOC('isCategory,y))) =>
-;      y:= GETDATABASE(u,'CONSTRUCTORKIND) =>
-;         y = 'category =>
-;            updateCategoryFrameForCategory u
-;         updateCategoryFrameForConstructor u
-;      throwKeyedMsg("S2IL0005",[u])
-;  value
-
-(DEFUN |loadLibIfNecessary| (|u| |mustExist|)
-  (PROG (|value| |y|)
-  (declare (special |$CategoryFrame| |$InteractiveMode|))
-    (RETURN
-      (COND
-        ((BOOT-EQUAL |u| '|$EmptyMode|) |u|)
-        ((NULL (ATOM |u|))
-         (|loadLibIfNecessary| (CAR |u|) |mustExist|))
-        ('T
-         (SPADLET |value|
-                  (COND
-                    ((OR (|functionp| |u|) (|macrop| |u|)) |u|)
-                    ((GETL |u| 'LOADED) |u|)
-                    ((|loadLib| |u|) |u|)))
-         (COND
-           ((AND (NULL |$InteractiveMode|)
-                 (OR (NULL (SPADLET |y|
-                                    (|getProplist| |u|
-                                     |$CategoryFrame|)))
-                     (AND (NULL (LASSOC '|isFunctor| |y|))
-                          (NULL (LASSOC '|isCategory| |y|)))))
-            (COND
-              ((SPADLET |y| (GETDATABASE |u| 'CONSTRUCTORKIND))
-               (COND
-                 ((BOOT-EQUAL |y| '|category|)
-                  (|updateCategoryFrameForCategory| |u|))
-                 ('T (|updateCategoryFrameForConstructor| |u|))))
-              ('T (|throwKeyedMsg| 'S2IL0005 (CONS |u| NIL)))))
-           ('T |value|)))))))
-
-;convertOpAlist2compilerInfo(opalist) ==
-;   "append"/[[formatSig(op,sig) for sig in siglist]
-;                for [op,:siglist] in opalist] where
-;      formatSig(op, [typelist, slot,:stuff]) ==
-;          pred := if stuff then first stuff else 'T
-;          impl := if CDR stuff then CADR stuff else 'ELT -- handles 'CONST
-;          [[op, typelist], pred, [impl, '$, slot]]
-
-(DEFUN |convertOpAlist2compilerInfo,formatSig| (|op| G166245)
-  (PROG (|typelist| |slot| |stuff| |pred| |impl|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |typelist| (CAR G166245))
-             (SPADLET |slot| (CADR G166245))
-             (SPADLET |stuff| (CDDR G166245))
-             G166245
-             (SEQ (SPADLET |pred| (IF |stuff| (CAR |stuff|) 'T))
-                  (SPADLET |impl|
-                           (IF (CDR |stuff|) (CADR |stuff|) 'ELT))
-                  (EXIT (CONS (CONS |op| (CONS |typelist| NIL))
-                              (CONS |pred|
-                                    (CONS
-                                     (CONS |impl|
-                                      (CONS '$ (CONS |slot| NIL)))
-                                     NIL))))))))))
-
-
-(DEFUN |convertOpAlist2compilerInfo| (|opalist|)
-  (PROG (|op| |siglist|)
-    (RETURN
-      (SEQ (PROG (G166272)
-             (SPADLET G166272 NIL)
-             (RETURN
-               (DO ((G166278 |opalist| (CDR G166278))
-                    (G166264 NIL))
-                   ((OR (ATOM G166278)
-                        (PROGN (SETQ G166264 (CAR G166278)) NIL)
-                        (PROGN
-                          (PROGN
-                            (SPADLET |op| (CAR G166264))
-                            (SPADLET |siglist| (CDR G166264))
-                            G166264)
-                          NIL))
-                    G166272)
-                 (SEQ (EXIT (SETQ G166272
-                                  (APPEND G166272
-                                          (PROG (G166289)
-                                            (SPADLET G166289 NIL)
-                                            (RETURN
-                                              (DO
-                                               ((G166294 |siglist|
-                                                 (CDR G166294))
-                                                (|sig| NIL))
-                                               ((OR (ATOM G166294)
-                                                 (PROGN
-                                                   (SETQ |sig|
-                                                    (CAR G166294))
-                                                   NIL))
-                                                (NREVERSE0 G166289))
-                                                (SEQ
-                                                 (EXIT
-                                                  (SETQ G166289
-                                                   (CONS
-                                       (|convertOpAlist2compilerInfo,formatSig|
-                                                     |op| |sig|)
-                                                    G166289))))))))))))))))))
-
-;updateCategoryFrameForConstructor(constructor) ==
-;   opAlist := GETDATABASE(constructor, 'OPERATIONALIST)
-;   [[dc,:sig],[pred,impl]] := GETDATABASE(constructor, 'CONSTRUCTORMODEMAP)
-;   $CategoryFrame := put(constructor,'isFunctor,
-;       convertOpAlist2compilerInfo(opAlist),
-;       addModemap(constructor, dc, sig, pred, impl,
-;           put(constructor, 'mode, ['Mapping,:sig], $CategoryFrame)))
-
-(DEFUN |updateCategoryFrameForConstructor| (|constructor|)
-  (PROG (|opAlist| |LETTMP#1| |dc| |sig| |pred| |impl|)
-  (declare (special |$CategoryFrame|))
-    (RETURN
-      (PROGN
-        (SPADLET |opAlist| (GETDATABASE |constructor| 'OPERATIONALIST))
-        (SPADLET |LETTMP#1|
-                 (GETDATABASE |constructor| 'CONSTRUCTORMODEMAP))
-        (SPADLET |dc| (CAAR |LETTMP#1|))
-        (SPADLET |sig| (CDAR |LETTMP#1|))
-        (SPADLET |pred| (CAADR |LETTMP#1|))
-        (SPADLET |impl| (CADADR |LETTMP#1|))
-        (SPADLET |$CategoryFrame|
-                 (|put| |constructor| '|isFunctor|
-                        (|convertOpAlist2compilerInfo| |opAlist|)
-                        (|addModemap| |constructor| |dc| |sig| |pred|
-                            |impl|
-                            (|put| |constructor| '|mode|
-                                   (CONS '|Mapping| |sig|)
-                                   |$CategoryFrame|))))))))
-
-;updateCategoryFrameForCategory(category) ==
-;   [[dc,:sig],[pred,impl]] := GETDATABASE(category, 'CONSTRUCTORMODEMAP)
-;   $CategoryFrame :=
-;     put(category, 'isCategory, 'T,
-;         addModemap(category, dc, sig, pred, impl, $CategoryFrame))
-
-(DEFUN |updateCategoryFrameForCategory| (|category|)
-  (PROG (|LETTMP#1| |dc| |sig| |pred| |impl|)
-  (declare (special |$CategoryFrame|))
-    (RETURN
-      (PROGN
-        (SPADLET |LETTMP#1|
-                 (GETDATABASE |category| 'CONSTRUCTORMODEMAP))
-        (SPADLET |dc| (CAAR |LETTMP#1|))
-        (SPADLET |sig| (CDAR |LETTMP#1|))
-        (SPADLET |pred| (CAADR |LETTMP#1|))
-        (SPADLET |impl| (CADADR |LETTMP#1|))
-        (SPADLET |$CategoryFrame|
-                 (|put| |category| '|isCategory| 'T
-                        (|addModemap| |category| |dc| |sig| |pred|
-                            |impl| |$CategoryFrame|)))))))
-
-;loadFunctor u ==
-;  null atom u => loadFunctor first u
-;  loadLibIfNotLoaded u
-;  u
-
-(DEFUN |loadFunctor| (|u|)
-  (COND
-    ((NULL (ATOM |u|)) (|loadFunctor| (CAR |u|)))
-    ('T (|loadLibIfNotLoaded| |u|) |u|)))
-
 ;makeConstructorsAutoLoad() ==
 ;  for cnam in allConstructors() repeat
 ;    REMPROP(cnam,'LOADED)
@@ -959,397 +535,6 @@
                      |editFlag| |traceFlag|))
         |val|))))
 
-;compDefineLisplib(df:=["DEF",[op,:.],:.],m,e,prefix,fal,fn) ==
-;  --fn= compDefineCategory OR compDefineFunctor
-;  sayMSG fillerSpaces(72,'"-")
-;  $LISPLIB: local := 'T
-;  $op: local := op
-;  $lisplibAttributes: local := NIL
-;  $lisplibPredicates: local := NIL -- set by makePredicateBitVector
-;  $lisplibCategoriesExtended: local := NIL -- this is always nil. why? (tpd)
-;  $lisplibForm: local := NIL
-;  $lisplibKind: local := NIL
-;  $lisplibAbbreviation: local := NIL
-;  $lisplibParents: local := NIL
-;  $lisplibAncestors: local := NIL
-;  $lisplibModemap: local := NIL
-;  $lisplibModemapAlist: local := NIL
-;  $lisplibSlot1 : local := NIL   -- used by NRT mechanisms
-;  $lisplibOperationAlist: local := NIL
-;  $lisplibSuperDomain: local := NIL
-;  $libFile: local := NIL
-;  $lisplibVariableAlist: local := NIL
-;--  $lisplibRelatedDomains: local := NIL   --from ++ Related Domains: see c-doc
-;  $lisplibCategory: local := nil
-;  --for categories, is rhs of definition; otherwise, is target of functor
-;  --will eventually become the "constructorCategory" property in lisplib
-;  --set in compDefineCategory1 if category, otherwise in finalizeLisplib
-;  libName := getConstructorAbbreviation op
-;  BOUNDP '$compileDocumentation and $compileDocumentation =>
-;     compileDocumentation libName
-;  sayMSG ['"   initializing ",$spadLibFT,:bright libName,
-;    '"for",:bright op]
-;  initializeLisplib libName
-;  sayMSG ['"   compiling into ",$spadLibFT,:bright libName]
-;  -- res:= FUNCALL(fn,df,m,e,prefix,fal)
-;  -- sayMSG ['"   finalizing ",$spadLibFT,:bright libName]
-;  -- finalizeLisplib libName
-;  -- following guarantee's compiler output files get closed.
-;  ok := false;
-;  UNWIND_-PROTECT(
-;      PROGN(res:= FUNCALL(fn,df,m,e,prefix,fal),
-;            sayMSG ['"   finalizing ",$spadLibFT,:bright libName],
-;            finalizeLisplib libName,
-;            ok := true),
-;      RSHUT $libFile)
-;  if ok then lisplibDoRename(libName)
-;  filearg := $FILEP(libName,$spadLibFT,'a)
-;  RPACKFILE filearg
-;  FRESH_-LINE $algebraOutputStream
-;  sayMSG fillerSpaces(72,'"-")
-;  unloadOneConstructor(op,libName)
-;  LOCALDATABASE(LIST GETDATABASE(op,'ABBREVIATION),NIL)
-;  $newConlist := [op, :$newConlist]  ---------->  bound in function "compiler"
-;  if $lisplibKind = 'category
-;    then updateCategoryFrameForCategory op
-;     else updateCategoryFrameForConstructor op
-;  res
-
-(DEFUN |compDefineLisplib| (|df| |m| |e| |prefix| |fal| |fn|)
-  (PROG ($LISPLIB |$op| |$lisplibAttributes| |$lisplibPredicates|
-            |$lisplibCategoriesExtended| |$lisplibForm| |$lisplibKind|
-            |$lisplibAbbreviation| |$lisplibParents|
-            |$lisplibAncestors| |$lisplibModemap|
-            |$lisplibModemapAlist| |$lisplibSlot1|
-            |$lisplibOperationAlist| |$lisplibSuperDomain| |$libFile|
-            |$lisplibVariableAlist| |$lisplibCategory| |op| |libName|
-            |res| |ok| |filearg|)
-    (DECLARE (SPECIAL $LISPLIB |$op| |$lisplibAttributes| |$newConlist|
-                      |$lisplibPredicates| |$lisplibCategoriesExtended|
-                      |$lisplibForm| |$lisplibKind| |$algebraOutputStream|
-                      |$lisplibAbbreviation| |$lisplibParents| |$spadLibFT|
-                      |$lisplibAncestors| |$lisplibModemap| $FILEP
-                      |$lisplibModemapAlist| |$lisplibSlot1|
-                      |$lisplibOperationAlist| |$lisplibSuperDomain|
-                      |$libFile| |$lisplibVariableAlist| 
-                      |$lisplibCategory| |$compileDocumentation|))
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR |df|) 'DEF) (CAR |df|)))
-        (SPADLET |op| (CAADR |df|))
-        (|sayMSG| (|fillerSpaces| 72 "-"))
-        (SPADLET $LISPLIB 'T)
-        (SPADLET |$op| |op|)
-        (SPADLET |$lisplibAttributes| NIL)
-        (SPADLET |$lisplibPredicates| NIL)
-        (SPADLET |$lisplibCategoriesExtended| NIL)
-        (SPADLET |$lisplibForm| NIL)
-        (SPADLET |$lisplibKind| NIL)
-        (SPADLET |$lisplibAbbreviation| NIL)
-        (SPADLET |$lisplibParents| NIL)
-        (SPADLET |$lisplibAncestors| NIL)
-        (SPADLET |$lisplibModemap| NIL)
-        (SPADLET |$lisplibModemapAlist| NIL)
-        (SPADLET |$lisplibSlot1| NIL)
-        (SPADLET |$lisplibOperationAlist| NIL)
-        (SPADLET |$lisplibSuperDomain| NIL)
-        (SPADLET |$libFile| NIL)
-        (SPADLET |$lisplibVariableAlist| NIL)
-        (SPADLET |$lisplibCategory| NIL)
-        (SPADLET |libName| (|getConstructorAbbreviation| |op|))
-        (COND
-          ((AND (BOUNDP '|$compileDocumentation|)
-                |$compileDocumentation|)
-           (|compileDocumentation| |libName|))
-          ('T
-           (|sayMSG|
-               (CONS "   initializing "
-                     (CONS |$spadLibFT|
-                           (APPEND (|bright| |libName|)
-                                   (CONS "for"
-                                    (|bright| |op|))))))
-           (|initializeLisplib| |libName|)
-           (|sayMSG|
-               (CONS "   compiling into "
-                     (CONS |$spadLibFT| (|bright| |libName|))))
-           (SPADLET |ok| NIL)
-           (UNWIND-PROTECT
-             (PROGN
-               (SPADLET |res|
-                        (FUNCALL |fn| |df| |m| |e| |prefix| |fal|))
-               (|sayMSG|
-                   (CONS "   finalizing "
-                         (CONS |$spadLibFT| (|bright| |libName|))))
-               (|finalizeLisplib| |libName|)
-               (SPADLET |ok| 'T))
-             (RSHUT |$libFile|))
-           (COND (|ok| (|lisplibDoRename| |libName|)))
-           (SPADLET |filearg|
-                    ($FILEP |libName| |$spadLibFT| 'a))
-           (RPACKFILE |filearg|) (FRESH-LINE |$algebraOutputStream|)
-           (|sayMSG| (|fillerSpaces| 72 "-"))
-           (|unloadOneConstructor| |op| |libName|)
-           (LOCALDATABASE (LIST (GETDATABASE |op| 'ABBREVIATION)) NIL)
-           (SPADLET |$newConlist| (CONS |op| |$newConlist|))
-           (COND
-             ((BOOT-EQUAL |$lisplibKind| '|category|)
-              (|updateCategoryFrameForCategory| |op|))
-             ('T (|updateCategoryFrameForConstructor| |op|)))
-           |res|))))))
-
-;compileDocumentation libName ==
-;  filename := MAKE_-INPUT_-FILENAME(libName,$spadLibFT)
-;  $FCOPY(filename,[libName,'DOCLB])
-;  stream := RDEFIOSTREAM [['FILE,libName,'DOCLB],['MODE, :'O]]
-;  lisplibWrite('"documentation",finalizeDocumentation(),stream)
-;--  if $lisplibRelatedDomains then
-;--    lisplibWrite('"relatedDomains",$lisplibRelatedDomains,stream)
-;  RSHUT(stream)
-;  RPACKFILE([libName,'DOCLB])
-;  $REPLACE([libName,$spadLibFT],[libName,'DOCLB])
-;  ['dummy, $EmptyMode, $e]
-
-(DEFUN |compileDocumentation| (|libName|)
-  (PROG (|filename| |stream|)
-  (declare (special |$e| |$EmptyMode| |$spadLibFT| $FCOPY))
-    (RETURN
-      (PROGN
-        (SPADLET |filename|
-                 (MAKE-INPUT-FILENAME |libName| |$spadLibFT|))
-        ($FCOPY |filename| (CONS |libName| (CONS 'DOCLB NIL)))
-        (SPADLET |stream|
-                 (RDEFIOSTREAM
-                     (CONS (CONS 'FILE
-                                 (CONS |libName| (CONS 'DOCLB NIL)))
-                           (CONS (CONS 'MODE 'O) NIL))))
-        (|lisplibWrite| "documentation"
-            (|finalizeDocumentation|) |stream|)
-        (RSHUT |stream|)
-        (RPACKFILE (CONS |libName| (CONS 'DOCLB NIL)))
-        (replaceFile (CONS |libName| (CONS |$spadLibFT| NIL))
-            (CONS |libName| (CONS 'DOCLB NIL)))
-        (CONS '|dummy| (CONS |$EmptyMode| (CONS |$e| NIL)))))))
-
-;getLisplibVersion libName ==
-;  stream := RDEFIOSTREAM [['FILE,libName,$spadLibFT],['MODE, :'I]]
-;  version:= CADR rread('VERSION, stream,nil)
-;  RSHUT(stream)
-;  version
-
-(DEFUN |getLisplibVersion| (|libName|)
-  (PROG (|stream| |version|)
-  (declare (special |$spadLibFT|))
-    (RETURN
-      (PROGN
-        (SPADLET |stream|
-                 (RDEFIOSTREAM
-                     (CONS (CONS 'FILE
-                                 (CONS |libName|
-                                       (CONS |$spadLibFT| NIL)))
-                           (CONS (CONS 'MODE 'I) NIL))))
-        (SPADLET |version| (CADR (|rread| 'VERSION |stream| NIL)))
-        (RSHUT |stream|)
-        |version|))))
-
-;initializeLisplib libName ==
-;  _$ERASE(libName,'ERRORLIB,'a)
-;  SETQ(ERRORS,0) -- ERRORS is a fluid variable for the compiler
-;  $libFile:= writeLib1(libName,'ERRORLIB,'a)
-;  ADDOPTIONS('FILE,$libFile)
-;  $lisplibForm := nil             --defining form for lisplib
-;  $lisplibModemap := nil          --modemap for constructor form
-;  $lisplibKind := nil             --category, domain, or package
-;  $lisplibModemapAlist := nil  --changed in "augmentLisplibModemapsFromCategory"
-;  $lisplibAbbreviation := nil
-;  $lisplibAncestors := nil
-;  $lisplibOpAlist := nil  --operations alist for new runtime system
-;  $lisplibOperationAlist := nil   --old list of operations for functor/package
-;  $lisplibSuperDomain:= nil
-;  -- next var changed in "augmentLisplibDependents"
-;  $lisplibVariableAlist := nil    --this and the next are used by "luke"
-;  $lisplibSignatureAlist := nil
-;  if pathnameTypeId(_/EDITFILE) = 'SPAD
-;    then LAM_,FILEACTQ('VERSION,['_/VERSIONCHECK,_/MAJOR_-VERSION])
-
-(DEFUN |initializeLisplib| (|libName|)
-  (declare (special $ERASE |$libFile| |$lisplibForm|
-                    |$lisplibModemap| |$lisplibKind| |$lisplibModemapAlist|
-                    |$lisplibAbbreviation| |$lisplibAncestors|
-                    |$lisplibOpAlist| |$lisplibOperationAlist|
-                    |$lisplibSuperDomain| |$lisplibVariableAlist|
-                    |$lisplibSignatureAlist| /EDITFILE /MAJOR-VERSION ERRORS))
-  (PROGN
-    ($ERASE |libName| 'ERRORLIB 'a)
-    (SETQ ERRORS 0)
-    (SPADLET |$libFile|
-             (|writeLib1| |libName| 'ERRORLIB 'a))
-    (ADDOPTIONS 'FILE |$libFile|)
-    (SPADLET |$lisplibForm| NIL)
-    (SPADLET |$lisplibModemap| NIL)
-    (SPADLET |$lisplibKind| NIL)
-    (SPADLET |$lisplibModemapAlist| NIL)
-    (SPADLET |$lisplibAbbreviation| NIL)
-    (SPADLET |$lisplibAncestors| NIL)
-    (SPADLET |$lisplibOpAlist| NIL)
-    (SPADLET |$lisplibOperationAlist| NIL)
-    (SPADLET |$lisplibSuperDomain| NIL)
-    (SPADLET |$lisplibVariableAlist| NIL)
-    (SPADLET |$lisplibSignatureAlist| NIL)
-    (COND
-      ((BOOT-EQUAL (|pathnameTypeId| /EDITFILE) 'SPAD)
-       (|LAM,FILEACTQ| 'VERSION
-           (CONS '/VERSIONCHECK (CONS /MAJOR-VERSION NIL))))
-      ('T NIL))))
-
-;finalizeLisplib libName ==
-;  lisplibWrite('"constructorForm",removeZeroOne $lisplibForm,$libFile)
-;  lisplibWrite('"constructorKind",kind:=removeZeroOne $lisplibKind,$libFile)
-;  lisplibWrite('"constructorModemap",removeZeroOne $lisplibModemap,$libFile)
-;  $lisplibCategory:= $lisplibCategory or $lisplibModemap.mmTarget
-;  -- set to target of modemap for package/domain constructors;
-;  -- to the right-hand sides (the definition) for category constructors
-;  lisplibWrite('"constructorCategory",$lisplibCategory,$libFile)
-;  lisplibWrite('"sourceFile",namestring _/EDITFILE,$libFile)
-;  lisplibWrite('"modemaps",removeZeroOne $lisplibModemapAlist,$libFile)
-;  opsAndAtts:= getConstructorOpsAndAtts(
-;    $lisplibForm,kind,$lisplibModemap)
-;  lisplibWrite('"operationAlist",removeZeroOne CAR opsAndAtts,$libFile)
-;  --lisplibWrite('"attributes",CDR opsAndAtts,$libFile)
-;  --if kind='category then NRTgenInitialAttributeAlist CDR opsAndAtts
-;  if kind='category then
-;     $pairlis : local := [[a,:v] for a in rest $lisplibForm
-;                                 for v in $FormalMapVariableList]
-;     $NRTslot1PredicateList : local := []
-;     NRTgenInitialAttributeAlist CDR opsAndAtts
-;  lisplibWrite('"superDomain",removeZeroOne $lisplibSuperDomain,$libFile)
-;  lisplibWrite('"signaturesAndLocals",
-;    removeZeroOne mergeSignatureAndLocalVarAlists($lisplibSignatureAlist,
-;                                    $lisplibVariableAlist),$libFile)
-;  lisplibWrite('"attributes",removeZeroOne $lisplibAttributes,$libFile)
-;  lisplibWrite('"predicates",removeZeroOne  $lisplibPredicates,$libFile)
-;  lisplibWrite('"abbreviation",$lisplibAbbreviation,$libFile)
-;  lisplibWrite('"parents",removeZeroOne $lisplibParents,$libFile)
-;  lisplibWrite('"ancestors",removeZeroOne $lisplibAncestors,$libFile)
-;  lisplibWrite('"documentation",finalizeDocumentation(),$libFile)
-;  lisplibWrite('"slot1Info",removeZeroOne $lisplibSlot1,$libFile)
-;  if $profileCompiler then profileWrite()
-;  if $lisplibForm and null CDR $lisplibForm then
-;    MAKEPROP(CAR $lisplibForm,'NILADIC,'T)
-;  ERRORS ^=0 =>    -- ERRORS is a fluid variable for the compiler
-;    sayMSG ['"   Errors in processing ",kind,'" ",:bright libName,'":"]
-;    sayMSG ['"     not replacing ",$spadLibFT,'" for",:bright libName]
-
-(DEFUN |finalizeLisplib| (|libName|)
-  (PROG (|$pairlis| |$NRTslot1PredicateList| |kind| |opsAndAtts|)
-    (DECLARE (SPECIAL |$pairlis| |$NRTslot1PredicateList| |$spadLibFT|
-                      |$lisplibForm| |$profileCompiler| |$libFile|
-                      |$lisplibSlot1| |$lisplibAncestors| |$lisplibParents|
-                      |$lisplibAbbreviation| |$lisplibPredicates|
-                      |$lisplibAttributes| |$lisplibVariableAlist|
-                      |$lisplibSignatureAlist| |$lisplibSuperDomain|
-                      |$FormalMapVariableList| |$lisplibModemap|
-                      |$lisplibModemapAlist| /EDITFILE |$lisplibCategory|
-                      |$lisplibKind|))
-    (RETURN
-      (SEQ (PROGN
-             (|lisplibWrite| "constructorForm"
-                 (|removeZeroOne| |$lisplibForm|) |$libFile|)
-             (|lisplibWrite| "constructorKind"
-                 (SPADLET |kind| (|removeZeroOne| |$lisplibKind|))
-                 |$libFile|)
-             (|lisplibWrite| "constructorModemap"
-                 (|removeZeroOne| |$lisplibModemap|) |$libFile|)
-             (SPADLET |$lisplibCategory|
-                      (OR |$lisplibCategory| (CADAR |$lisplibModemap|)))
-             (|lisplibWrite| "constructorCategory"
-                 |$lisplibCategory| |$libFile|)
-             (|lisplibWrite| "sourceFile"
-                 (|namestring| /EDITFILE) |$libFile|)
-             (|lisplibWrite| "modemaps"
-                 (|removeZeroOne| |$lisplibModemapAlist|) |$libFile|)
-             (SPADLET |opsAndAtts|
-                      (|getConstructorOpsAndAtts| |$lisplibForm| |kind|
-                          |$lisplibModemap|))
-             (|lisplibWrite| "operationAlist"
-                 (|removeZeroOne| (CAR |opsAndAtts|)) |$libFile|)
-             (COND
-               ((BOOT-EQUAL |kind| '|category|)
-                (SPADLET |$pairlis|
-                         (PROG (G166609)
-                           (SPADLET G166609 NIL)
-                           (RETURN
-                             (DO ((G166615 (CDR |$lisplibForm|)
-                                      (CDR G166615))
-                                  (|a| NIL)
-                                  (G166616 |$FormalMapVariableList|
-                                      (CDR G166616))
-                                  (|v| NIL))
-                                 ((OR (ATOM G166615)
-                                      (PROGN
-                                        (SETQ |a| (CAR G166615))
-                                        NIL)
-                                      (ATOM G166616)
-                                      (PROGN
-                                        (SETQ |v| (CAR G166616))
-                                        NIL))
-                                  (NREVERSE0 G166609))
-                               (SEQ (EXIT
-                                     (SETQ G166609
-                                      (CONS (CONS |a| |v|) G166609))))))))
-                (SPADLET |$NRTslot1PredicateList| NIL)
-                (|NRTgenInitialAttributeAlist| (CDR |opsAndAtts|))))
-             (|lisplibWrite| "superDomain"
-                 (|removeZeroOne| |$lisplibSuperDomain|) |$libFile|)
-             (|lisplibWrite| "signaturesAndLocals"
-                 (|removeZeroOne|
-                     (|mergeSignatureAndLocalVarAlists|
-                         |$lisplibSignatureAlist|
-                         |$lisplibVariableAlist|))
-                 |$libFile|)
-             (|lisplibWrite| "attributes"
-                 (|removeZeroOne| |$lisplibAttributes|) |$libFile|)
-             (|lisplibWrite| "predicates"
-                 (|removeZeroOne| |$lisplibPredicates|) |$libFile|)
-             (|lisplibWrite| "abbreviation"
-                 |$lisplibAbbreviation| |$libFile|)
-             (|lisplibWrite| "parents"
-                 (|removeZeroOne| |$lisplibParents|) |$libFile|)
-             (|lisplibWrite| "ancestors"
-                 (|removeZeroOne| |$lisplibAncestors|) |$libFile|)
-             (|lisplibWrite| "documentation"
-                 (|finalizeDocumentation|) |$libFile|)
-             (|lisplibWrite| "slot1Info"
-                 (|removeZeroOne| |$lisplibSlot1|) |$libFile|)
-             (COND (|$profileCompiler| (|profileWrite|)))
-             (COND
-               ((AND |$lisplibForm| (NULL (CDR |$lisplibForm|)))
-                (MAKEPROP (CAR |$lisplibForm|) 'NILADIC 'T)))
-             (COND
-               ((NEQUAL ERRORS 0)
-                (PROGN
-                  (|sayMSG|
-                      (CONS "   Errors in processing "
-                            (CONS |kind|
-                                  (CONS " "
-                                        (APPEND (|bright| |libName|)
-                                         (CONS ":" NIL))))))
-                  (|sayMSG|
-                      (CONS "     not replacing "
-                            (CONS |$spadLibFT|
-                                  (CONS " for"
-                                        (|bright| |libName|)))))))))))))
-
-;lisplibDoRename(libName) ==
-;  _$REPLACE([libName,$spadLibFT,'a],
-;    [libName,'ERRORLIB,'a])
-
-(DEFUN |lisplibDoRename| (|libName|)
-  (declare (special |$spadLibFT|))
-  (replaceFile
-      (CONS |libName|
-            (CONS |$spadLibFT| (CONS 'a NIL)))
-      (CONS |libName| (CONS 'ERRORLIB (CONS 'a NIL)))))
-
 ;lisplibError(cname,fname,type,cn,fn,typ,error) ==
 ;  sayMSG bright ['"  Illegal ",$spadLibFT]
 ;  error in '(duplicateAbb  wrongType) =>
@@ -1389,38 +574,6 @@
         ((SPADLET |s| (|getConstructorSignature| |c|)) (CDR |s|))
         ('T (|throwEvalTypeMsg| 'S2IL0015 (CONS |c| NIL)))))))
 
-;mergeSignatureAndLocalVarAlists(signatureAlist, localVarAlist) ==
-;  -- this function makes a single Alist for both signatures
-;  -- and local variable types, to be stored in the LISPLIB
-;  -- for the function being compiled
-;  [[funcName,:[signature,:LASSOC(funcName,localVarAlist)]] for
-;    [funcName, :signature] in signatureAlist]
-
-(DEFUN |mergeSignatureAndLocalVarAlists|
-       (|signatureAlist| |localVarAlist|)
-  (PROG (|funcName| |signature|)
-    (RETURN
-      (SEQ (PROG (G166659)
-             (SPADLET G166659 NIL)
-             (RETURN
-               (DO ((G166665 |signatureAlist| (CDR G166665))
-                    (G166650 NIL))
-                   ((OR (ATOM G166665)
-                        (PROGN (SETQ G166650 (CAR G166665)) NIL)
-                        (PROGN
-                          (PROGN
-                            (SPADLET |funcName| (CAR G166650))
-                            (SPADLET |signature| (CDR G166650))
-                            G166650)
-                          NIL))
-                    (NREVERSE0 G166659))
-                 (SEQ (EXIT (SETQ G166659
-                                  (CONS (CONS |funcName|
-                                         (CONS |signature|
-                                          (LASSOC |funcName|
-                                           |localVarAlist|)))
-                                        G166659)))))))))))
-
 ;Operators u ==
 ;  ATOM u => []
 ;  ATOM first u =>
@@ -1464,58 +617,6 @@
                                      (|union| G166691
                                       (|Operators| |v|))))))))))))))
 
-;getConstructorOpsAndAtts(form,kind,modemap) ==
-;  kind is 'category => getCategoryOpsAndAtts(form)
-;  getFunctorOpsAndAtts(form,modemap)
-
-(DEFUN |getConstructorOpsAndAtts| (|form| |kind| |modemap|)
-  (COND
-    ((EQ |kind| '|category|) (|getCategoryOpsAndAtts| |form|))
-    ('T (|getFunctorOpsAndAtts| |form| |modemap|))))
-
-;getCategoryOpsAndAtts(catForm) ==
-;  -- returns [operations,:attributes] of CAR catForm
-;  [transformOperationAlist getSlotFromCategoryForm(catForm,1),
-;    :getSlotFromCategoryForm(catForm,2)]
-
-(DEFUN |getCategoryOpsAndAtts| (|catForm|)
-  (CONS (|transformOperationAlist|
-            (|getSlotFromCategoryForm| |catForm| 1))
-        (|getSlotFromCategoryForm| |catForm| 2)))
-
-;getFunctorOpsAndAtts(form,modemap) ==
-;  [transformOperationAlist getSlotFromFunctor(form,1,modemap),
-;    :getSlotFromFunctor(form,2,modemap)]
-
-(DEFUN |getFunctorOpsAndAtts| (|form| |modemap|)
-  (CONS (|transformOperationAlist|
-            (|getSlotFromFunctor| |form| 1 |modemap|))
-        (|getSlotFromFunctor| |form| 2 |modemap|)))
-
-;getSlotFromFunctor([name,:args],slot,[[.,target,:argMml],:.]) ==
-;  slot = 1 => $lisplibOperationAlist
-;  t := compMakeCategoryObject(target,$e) or
-;      systemErrorHere '"getSlotFromFunctor"
-;  t.expr.slot
-
-(DEFUN |getSlotFromFunctor| (G166719 |slot| G166728)
-  (PROG (|target| |argMml| |name| |args| |t|)
-  (declare (special |$e| |$lisplibOperationAlist|))
-    (RETURN
-      (PROGN
-        (SPADLET |target| (CADAR G166728))
-        (SPADLET |argMml| (CDDAR G166728))
-        (SPADLET |name| (CAR G166719))
-        (SPADLET |args| (CDR G166719))
-        (COND
-          ((EQL |slot| 1) |$lisplibOperationAlist|)
-          ('T
-           (SPADLET |t|
-                    (OR (|compMakeCategoryObject| |target| |$e|)
-                        (|systemErrorHere|
-                            "getSlotFromFunctor")))
-           (ELT (CAR |t|) |slot|)))))))
-
 ;getSlot1 domainName ==
 ;  $e: local:= $CategoryFrame
 ;  fn:= getLisplibName domainName
@@ -1539,9 +640,9 @@
                       |$CategoryFrame|))
     (RETURN
       (SEQ (PROGN
-             (SPADLET |$e| |$CategoryFrame|)
-             (SPADLET |fn| (|getLisplibName| |domainName|))
-             (SPADLET |p|
+             (setq |$e| |$CategoryFrame|)
+             (setq |fn| (|getLisplibName| |domainName|))
+             (setq |p|
                       (|pathname|
                           (CONS |fn|
                                 (CONS |$spadLibFT|
@@ -1550,10 +651,10 @@
                ((NULL (|isExistingFile| |p|))
                 (|sayKeyedMsg| 'S2IL0003 (CONS (|namestring| |p|) NIL))
                 NIL)
-               ((SPADLET |sig|
+               ((setq |sig|
                          (|getConstructorSignature| |domainName|))
-                (SPADLET |target| (CADR |sig|))
-                (SPADLET |argMml| (CDDR |sig|))
+                (setq |target| (CADR |sig|))
+                (setq |argMml| (CDDR |sig|))
                 (DO ((G166759 |$FormalMapVariableList|
                          (CDR G166759))
                      (|a| NIL) (G166760 |argMml| (CDR G166760))
@@ -1563,9 +664,9 @@
                          (ATOM G166760)
                          (PROGN (SETQ |m| (CAR G166760)) NIL))
                      NIL)
-                  (SEQ (EXIT (SPADLET |$e|
+                  (SEQ (EXIT (setq |$e|
                                       (|put| |a| '|mode| |m| |$e|)))))
-                (SPADLET |t|
+                (setq |t|
                          (OR (|compMakeCategoryObject| |target| |$e|)
                              (|systemErrorHere|
                                  "getSlot1")))
@@ -1576,135 +677,6 @@
                           (CONS "constructor modemap" NIL)))
                 NIL)))))))
 
-;transformOperationAlist operationAlist ==
-;  --  this transforms the operationAlist which is written out onto LISPLIBs.
-;  --  The original form of this list is a list of items of the form:
-;  --        (( ) ( (ELT $ n)))
-;  --  The new form is an op-Alist which has entries ( . signature-Alist)
-;  --      where signature-Alist has entries ( . item)
-;  --        where item has form (  )
-;  --          where  =
-;  --             NIL  => function
-;  --             CONST => constant ... and others
-;  newAlist:= nil
-;  for [[op,sig,:.],condition,implementation] in operationAlist repeat
-;    kind:=
-;      implementation is [eltEtc,.,n] and eltEtc in '(CONST ELT) => eltEtc
-;      implementation is [impOp,:.] =>
-;        impOp = 'XLAM => implementation
-;        impOp in '(CONST Subsumed) => impOp
-;        keyedSystemError("S2IL0025",[impOp])
-;      implementation = 'mkRecord => 'mkRecord
-;      keyedSystemError("S2IL0025",[implementation])
-;    signatureItem:=
-;      if u:= ASSOC([op,sig],$functionLocations) then n := [n,:rest u]
-;      kind = 'ELT =>
-;        condition = 'T => [sig,n]
-;        [sig,n,condition]
-;      [sig,n,condition,kind]
-;    itemList:= [signatureItem,:LASSQ(op,newAlist)]
-;    newAlist:= insertAlist(op,itemList,newAlist)
-;  newAlist
-
-(DEFUN |transformOperationAlist| (|operationAlist|)
-  (PROG (|op| |sig| |condition| |implementation| |eltEtc| |ISTMP#1|
-              |ISTMP#2| |impOp| |kind| |u| |n| |signatureItem|
-              |itemList| |newAlist|)
-  (declare (special |$functionLocations|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |newAlist| NIL)
-             (DO ((G166830 |operationAlist| (CDR G166830))
-                  (G166804 NIL))
-                 ((OR (ATOM G166830)
-                      (PROGN (SETQ G166804 (CAR G166830)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAAR G166804))
-                          (SPADLET |sig| (CADAR G166804))
-                          (SPADLET |condition| (CADR G166804))
-                          (SPADLET |implementation| (CADDR G166804))
-                          G166804)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |kind|
-                                     (COND
-                                       ((AND (PAIRP |implementation|)
-                                         (PROGN
-                                           (SPADLET |eltEtc|
-                                            (QCAR |implementation|))
-                                           (SPADLET |ISTMP#1|
-                                            (QCDR |implementation|))
-                                           (AND (PAIRP |ISTMP#1|)
-                                            (PROGN
-                                              (SPADLET |ISTMP#2|
-                                               (QCDR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
-                                               (EQ (QCDR |ISTMP#2|)
-                                                NIL)
-                                               (PROGN
-                                                 (SPADLET |n|
-                                                  (QCAR |ISTMP#2|))
-                                                 'T)))))
-                                         (|member| |eltEtc|
-                                          '(CONST ELT)))
-                                        |eltEtc|)
-                                       ((AND (PAIRP |implementation|)
-                                         (PROGN
-                                           (SPADLET |impOp|
-                                            (QCAR |implementation|))
-                                           'T))
-                                        (COND
-                                          ((BOOT-EQUAL |impOp| 'XLAM)
-                                           |implementation|)
-                                          ((|member| |impOp|
-                                            '(CONST |Subsumed|))
-                                           |impOp|)
-                                          ('T
-                                           (|keyedSystemError|
-                                            'S2IL0025
-                                            (CONS |impOp| NIL)))))
-                                       ((BOOT-EQUAL |implementation|
-                                         '|mkRecord|)
-                                        '|mkRecord|)
-                                       ('T
-                                        (|keyedSystemError| 'S2IL0025
-                                         (CONS |implementation| NIL)))))
-                            (SPADLET |signatureItem|
-                                     (PROGN
-                                       (COND
-                                         ((SPADLET |u|
-                                           (|assoc|
-                                            (CONS |op|
-                                             (CONS |sig| NIL))
-                                            |$functionLocations|))
-                                          (SPADLET |n|
-                                           (CONS |n| (CDR |u|)))))
-                                       (COND
-                                         ((BOOT-EQUAL |kind| 'ELT)
-                                          (COND
-                                            ((BOOT-EQUAL |condition|
-                                              'T)
-                                             (CONS |sig|
-                                              (CONS |n| NIL)))
-                                            ('T
-                                             (CONS |sig|
-                                              (CONS |n|
-                                               (CONS |condition| NIL))))))
-                                         ('T
-                                          (CONS |sig|
-                                           (CONS |n|
-                                            (CONS |condition|
-                                             (CONS |kind| NIL))))))))
-                            (SPADLET |itemList|
-                                     (CONS |signatureItem|
-                                      (LASSQ |op| |newAlist|)))
-                            (SPADLET |newAlist|
-                                     (|insertAlist| |op| |itemList|
-                                      |newAlist|))))))
-             |newAlist|)))))
-
 ;sayNonUnique x ==
 ;  sayBrightlyNT '"Non-unique:"
 ;  pp x
@@ -1735,21 +707,21 @@
   (PROG (|sig| |domain| |n| |slot|)
     (RETURN
       (PROGN
-        (SPADLET |oldSig| (|removeOPT| |oldSig|))
-        (SPADLET |dom| (|removeOPT| |dom|))
-        (SPADLET |sig| (MSUBST '$ |dom| |oldSig|))
+        (setq |oldSig| (|removeOPT| |oldSig|))
+        (setq |dom| (|removeOPT| |dom|))
+        (setq |sig| (MSUBST '$ |dom| |oldSig|))
         (|loadIfNecessary| (CAR |dom|))
         (COND
           ((|isPackageForm| |dom|)
            (|getSlotFromPackage| |dom| |op| |oldSig|))
-          ('T (SPADLET |domain| (|evalDomain| |dom|))
+          ('T (setq |domain| (|evalDomain| |dom|))
            (COND
-             ((SPADLET |n|
+             ((setq |n|
                        (|findConstructorSlotNumber| |dom| |domain| |op|
                            |sig|))
               (COND
                 ((BOOT-EQUAL
-                     (ELT (SPADLET |slot| (ELT |domain| |n|)) 0)
+                     (ELT (setq |slot| (ELT |domain| |n|)) 0)
                      |Undef|)
                  (|throwKeyedMsg| 'S2IL0023A
                      (CONS |op|
@@ -1788,11 +760,11 @@
               (|sayMSG|
                   (CONS "   using slot 1 of "
                         (CONS |domainForm| NIL)))
-              (SPADLET |constructorArglist| (CDR |domainForm|))
-              (SPADLET |nsig| (|#| |sig|))
-              (SPADLET |tail|
+              (setq |constructorArglist| (CDR |domainForm|))
+              (setq |nsig| (|#| |sig|))
+              (setq |tail|
                        (PROG (G166911)
-                         (SPADLET G166911 NIL)
+                         (setq G166911 NIL)
                          (RETURN
                            (DO ((G166919 NIL G166911)
                                 (G166920 (ELT |domain| 1)
@@ -1804,11 +776,11 @@
                                       NIL)
                                     (PROGN
                                       (PROGN
-                                        (SPADLET |op1|
+                                        (setq |op1|
                                          (CAAR G166872))
-                                        (SPADLET |sig1|
+                                        (setq |sig1|
                                          (CADAR G166872))
-                                        (SPADLET |r| (CDR G166872))
+                                        (setq |r| (CDR G166872))
                                         G166872)
                                       NIL))
                                 G166911)
@@ -1817,7 +789,7 @@
                                             (BOOT-EQUAL |nsig|
                                              (|#| |sig1|))
                                             (PROG (G166928)
-                                              (SPADLET G166928 'T)
+                                              (setq G166928 'T)
                                               (RETURN
                                                 (DO
                                                  ((G166935 NIL
@@ -1864,26 +836,26 @@
                                            (SETQ G166911
                                             (OR G166911 |r|))))))))))
               (COND
-                ((AND (PAIRP |tail|)
+                ((AND (CONSP |tail|)
                       (PROGN
-                        (SPADLET |ISTMP#1| (QCDR |tail|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (setq |ISTMP#1| (QCDR |tail|))
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
-                               (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (setq |ISTMP#2| (QCAR |ISTMP#1|))
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCAR |ISTMP#2|) 'ELT)
                                     (PROGN
-                                      (SPADLET |ISTMP#3|
+                                      (setq |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (PROGN
-                                         (SPADLET |ISTMP#4|
+                                         (setq |ISTMP#4|
                                           (QCDR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
+                                         (AND (CONSP |ISTMP#4|)
                                           (EQ (QCDR |ISTMP#4|) NIL)
                                           (PROGN
-                                            (SPADLET |n|
+                                            (setq |n|
                                              (QCAR |ISTMP#4|))
                                             'T))))))))))
                  |n|)
@@ -1897,16 +869,16 @@
   (PROG (|ISTMP#1| |domain| |ISTMP#2| |utype|)
     (RETURN
       (COND
-        ((AND (PAIRP |d|) (EQ (QCAR |d|) '|Union|)
+        ((AND (CONSP |d|) (EQ (QCAR |d|) '|Union|)
               (PROGN
-                (SPADLET |ISTMP#1| (QCDR |d|))
-                (AND (PAIRP |ISTMP#1|)
+                (setq |ISTMP#1| (QCDR |d|))
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
-                       (SPADLET |domain| (QCAR |ISTMP#1|))
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (setq |domain| (QCAR |ISTMP#1|))
+                       (setq |ISTMP#2| (QCDR |ISTMP#1|))
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
-                              (SPADLET |utype| (QCAR |ISTMP#2|))
+                              (setq |utype| (QCAR |ISTMP#2|))
                               'T)))))
               (BOOT-EQUAL |utype| "failed"))
          |domain|)
@@ -1928,19 +900,19 @@
             |entryList| |sig1| |r| |tail|)
     (RETURN
       (SEQ (PROGN
-             (SPADLET |constructorName| (CAR |domainForm|))
-             (SPADLET |constructorArglist| (CDR |domainForm|))
-             (SPADLET |operationAlist|
+             (setq |constructorName| (CAR |domainForm|))
+             (setq |constructorArglist| (CDR |domainForm|))
+             (setq |operationAlist|
                       (OR (GETDATABASE |constructorName|
                               'OPERATIONALIST)
                           (|keyedSystemError| 'S2IL0026
                               (CONS |constructorName| NIL))))
-             (SPADLET |entryList|
+             (setq |entryList|
                       (OR (QLASSQ |op| |operationAlist|) (RETURN NIL)))
              (COND
-               ((SPADLET |tail|
+               ((setq |tail|
                          (PROG (G166992)
-                           (SPADLET G166992 NIL)
+                           (setq G166992 NIL)
                            (RETURN
                              (DO ((G167000 NIL G166992)
                                   (G167001 |entryList|
@@ -1953,9 +925,9 @@
                                         NIL)
                                       (PROGN
                                         (PROGN
-                                          (SPADLET |sig1|
+                                          (setq |sig1|
                                            (CAR G166987))
-                                          (SPADLET |r| (CDR G166987))
+                                          (setq |r| (CDR G166987))
                                           G166987)
                                         NIL))
                                   G166992)
@@ -1988,11 +960,11 @@
       (SEQ (PROGN
              (DO () ((NULL (AND |sig| |sig1|)) NIL)
                (SEQ (EXIT (PROGN
-                            (SPADLET |partsMatch|
+                            (setq |partsMatch|
                                      (COND
                                        ((BOOT-EQUAL
-                                         (SPADLET |item| (CAR |sig|))
-                                         (SPADLET |item1| (CAR |sig1|)))
+                                         (setq |item| (CAR |sig|))
+                                         (setq |item1| (CAR |sig1|)))
                                         'T)
                                        ((integerp |item1|)
                                         (BOOT-EQUAL |item|
@@ -2004,8 +976,8 @@
                                          |$CategoryFrame|))))
                             (COND
                               ((NULL |partsMatch|) (RETURN NIL))
-                              ('T (SPADLET |sig| (CDR |sig|))
-                               (SPADLET |sig1| (CDR |sig1|))))))))
+                              ('T (setq |sig| (CDR |sig|))
+                               (setq |sig1| (CDR |sig1|))))))))
              (COND ((OR |sig| |sig1|) NIL) ('T 'T)))))))
 
 ;findDomainSlotNumber(domain,op,sig) == --using slot 1 of the domain
@@ -2022,10 +994,10 @@
   (declare (special |$CategoryFrame|))
     (RETURN
       (SEQ (PROGN
-             (SPADLET |nsig| (|#| |sig|))
-             (SPADLET |tail|
+             (setq |nsig| (|#| |sig|))
+             (setq |tail|
                       (PROG (G167073)
-                        (SPADLET G167073 NIL)
+                        (setq G167073 NIL)
                         (RETURN
                           (DO ((G167081 NIL G167073)
                                (G167082 (ELT |domain| 1)
@@ -2037,10 +1009,10 @@
                                      NIL)
                                    (PROGN
                                      (PROGN
-                                       (SPADLET |op1| (CAAR G167039))
-                                       (SPADLET |sig1|
+                                       (setq |op1| (CAAR G167039))
+                                       (setq |sig1|
                                         (CADAR G167039))
-                                       (SPADLET |r| (CDR G167039))
+                                       (setq |r| (CDR G167039))
                                        G167039)
                                      NIL))
                                G167073)
@@ -2049,7 +1021,7 @@
                                            (BOOT-EQUAL |nsig|
                                             (|#| |sig1|))
                                            (PROG (G167090)
-                                             (SPADLET G167090 'T)
+                                             (setq G167090 'T)
                                              (RETURN
                                                (DO
                                                 ((G167097 NIL
@@ -2088,25 +1060,25 @@
                                           (SETQ G167073
                                            (OR G167073 |r|))))))))))
              (COND
-               ((AND (PAIRP |tail|)
+               ((AND (CONSP |tail|)
                      (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |tail|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (setq |ISTMP#1| (QCDR |tail|))
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
-                              (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (setq |ISTMP#2| (QCAR |ISTMP#1|))
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCAR |ISTMP#2|) 'ELT)
                                    (PROGN
-                                     (SPADLET |ISTMP#3|
+                                     (setq |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (PROGN
-                                        (SPADLET |ISTMP#4|
+                                        (setq |ISTMP#4|
                                          (QCDR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
+                                        (AND (CONSP |ISTMP#4|)
                                          (EQ (QCDR |ISTMP#4|) NIL)
                                          (PROGN
-                                           (SPADLET |n|
+                                           (setq |n|
                                             (QCAR |ISTMP#4|))
                                            'T))))))))))
                 |n|)
@@ -2129,274 +1101,11 @@
   (PROG (|mm| |sig|)
     (RETURN
       (COND
-        ((SPADLET |mm|
+        ((setq |mm|
                   (GETDATABASE (|opOf| |form|) 'CONSTRUCTORMODEMAP))
-         (SPADLET |sig| (CDAR |mm|)) |sig|)
+         (setq |sig| (CDAR |mm|)) |sig|)
         ('T NIL)))))
 
-;--% from MODEMAP BOOT
-;
-;augModemapsFromDomain1(name,functorForm,e) ==
-;  GET(KAR functorForm,"makeFunctionList") =>
-;    addConstructorModemaps(name,functorForm,e)
-;  atom functorForm and (catform:= getmode(functorForm,e)) =>
-;    augModemapsFromCategory(name,name,functorForm,catform,e)
-;  mappingForm:= getmodeOrMapping(KAR functorForm,e) =>
-;    ["Mapping",categoryForm,:functArgTypes]:= mappingForm
-;    catform:= substituteCategoryArguments(rest functorForm,categoryForm)
-;    augModemapsFromCategory(name,name,functorForm,catform,e)
-;  stackMessage [functorForm," is an unknown mode"]
-;  e
-
-(DEFUN |augModemapsFromDomain1| (|name| |functorForm| |e|)
-  (PROG (|mappingForm| |categoryForm| |functArgTypes| |catform|)
-    (RETURN
-      (COND
-        ((GETL (KAR |functorForm|) '|makeFunctionList|)
-         (|addConstructorModemaps| |name| |functorForm| |e|))
-        ((AND (ATOM |functorForm|)
-              (SPADLET |catform| (|getmode| |functorForm| |e|)))
-         (|augModemapsFromCategory| |name| |name| |functorForm|
-             |catform| |e|))
-        ((SPADLET |mappingForm|
-                  (|getmodeOrMapping| (KAR |functorForm|) |e|))
-         (COND
-           ((EQ (CAR |mappingForm|) '|Mapping|) (CAR |mappingForm|)))
-         (SPADLET |categoryForm| (CADR |mappingForm|))
-         (SPADLET |functArgTypes| (CDDR |mappingForm|))
-         (SPADLET |catform|
-                  (|substituteCategoryArguments| (CDR |functorForm|)
-                      |categoryForm|))
-         (|augModemapsFromCategory| |name| |name| |functorForm|
-             |catform| |e|))
-        ('T
-         (|stackMessage|
-             (CONS |functorForm| (CONS '| is an unknown mode| NIL)))
-         |e|)))))
-
-;getSlotFromCategoryForm ([op,:argl],index) ==
-;  u:= eval [op,:MAPCAR('MKQ,TAKE(#argl,$FormalMapVariableList))]
-;  null VECP u =>
-;    systemErrorHere '"getSlotFromCategoryForm"
-;  u . index
-
-(DEFUN |getSlotFromCategoryForm| (G167151 |index|)
-  (PROG (|op| |argl| |u|)
-  (declare (special |$FormalMapVariableList|))
-    (RETURN
-      (PROGN
-        (SPADLET |op| (CAR G167151))
-        (SPADLET |argl| (CDR G167151))
-        (SPADLET |u|
-                 (|eval| (CONS |op|
-                               (MAPCAR 'MKQ
-                                       (TAKE (|#| |argl|)
-                                        |$FormalMapVariableList|)))))
-        (COND
-          ((NULL (VECP |u|))
-           (|systemErrorHere| "getSlotFromCategoryForm"))
-          ('T (ELT |u| |index|)))))))
-
-;--% constructor evaluation
-;--  The following functions are used by the compiler but are modified
-;--  here for use with new LISPLIB scheme
-;
-;mkEvalableCategoryForm c ==       --from DEFINE
-;  c is [op,:argl] =>
-;    op="Join" => ["Join",:[mkEvalableCategoryForm x for x in argl]]
-;    op is "DomainSubstitutionMacro" =>
-;        --$extraParms :local
-;        --catobj := EVAL c -- DomainSubstitutionFunction makes $extraParms
-;        --mkEvalableCategoryForm sublisV($extraParms, catobj)
-;        mkEvalableCategoryForm CADR argl
-;    op is "mkCategory" => c
-;    MEMQ(op,$CategoryNames) =>
-;      ([x,m,$e]:= compOrCroak(c,$EmptyMode,$e); m=$Category => x)
-;    --loadIfNecessary op
-;    GETDATABASE(op,'CONSTRUCTORKIND) = 'category or
-;      get(op,"isCategory",$CategoryFrame) =>
-;        [op,:[quotifyCategoryArgument x for x in argl]]
-;    [x,m,$e]:= compOrCroak(c,$EmptyMode,$e)
-;    m=$Category => x
-;  MKQ c
-
-(DEFUN |mkEvalableCategoryForm| (|c|)
-  (PROG (|op| |argl| |LETTMP#1| |x| |m|)
-  (declare (special |$Category| |$e| |$EmptyMode| |$CategoryFrame|
-                    |$CategoryNames|))
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |c|)
-                   (PROGN
-                     (SPADLET |op| (QCAR |c|))
-                     (SPADLET |argl| (QCDR |c|))
-                     'T))
-              (COND
-                ((BOOT-EQUAL |op| '|Join|)
-                 (CONS '|Join|
-                       (PROG (G167194)
-                         (SPADLET G167194 NIL)
-                         (RETURN
-                           (DO ((G167199 |argl| (CDR G167199))
-                                (|x| NIL))
-                               ((OR (ATOM G167199)
-                                    (PROGN
-                                      (SETQ |x| (CAR G167199))
-                                      NIL))
-                                (NREVERSE0 G167194))
-                             (SEQ (EXIT (SETQ G167194
-                                         (CONS
-                                          (|mkEvalableCategoryForm|
-                                           |x|)
-                                          G167194)))))))))
-                ((EQ |op| '|DomainSubstitutionMacro|)
-                 (|mkEvalableCategoryForm| (CADR |argl|)))
-                ((EQ |op| '|mkCategory|) |c|)
-                ((member |op| |$CategoryNames|)
-                 (SPADLET |LETTMP#1|
-                          (|compOrCroak| |c| |$EmptyMode| |$e|))
-                 (SPADLET |x| (CAR |LETTMP#1|))
-                 (SPADLET |m| (CADR |LETTMP#1|))
-                 (SPADLET |$e| (CADDR |LETTMP#1|))
-                 (COND ((BOOT-EQUAL |m| |$Category|) |x|)))
-                ((OR (BOOT-EQUAL (GETDATABASE |op| 'CONSTRUCTORKIND)
-                         '|category|)
-                     (|get| |op| '|isCategory| |$CategoryFrame|))
-                 (CONS |op|
-                       (PROG (G167209)
-                         (SPADLET G167209 NIL)
-                         (RETURN
-                           (DO ((G167214 |argl| (CDR G167214))
-                                (|x| NIL))
-                               ((OR (ATOM G167214)
-                                    (PROGN
-                                      (SETQ |x| (CAR G167214))
-                                      NIL))
-                                (NREVERSE0 G167209))
-                             (SEQ (EXIT (SETQ G167209
-                                         (CONS
-                                          (|quotifyCategoryArgument|
-                                           |x|)
-                                          G167209)))))))))
-                ('T
-                 (SPADLET |LETTMP#1|
-                          (|compOrCroak| |c| |$EmptyMode| |$e|))
-                 (SPADLET |x| (CAR |LETTMP#1|))
-                 (SPADLET |m| (CADR |LETTMP#1|))
-                 (SPADLET |$e| (CADDR |LETTMP#1|))
-                 (COND ((BOOT-EQUAL |m| |$Category|) |x|)))))
-             ('T (MKQ |c|)))))))
-
-;isDomainForm(D,e) ==
-;  --added for MPOLY 3/83 by RDJ
-;  MEMQ(KAR D,$SpecialDomainNames) or isFunctor D or
-;    -- ((D is ['Mapping,target,:.]) and isCategoryForm(target,e)) or
-;     ((getmode(D,e) is ['Mapping,target,:.]) and isCategoryForm(target,e)) or
-;       isCategoryForm(getmode(D,e),e) or isDomainConstructorForm(D,e)
-
-(DEFUN |isDomainForm| (D |e|)
-  (PROG (|ISTMP#1| |ISTMP#2| |target|)
-  (declare (special |$SpecialDomainNames|))
-    (RETURN
-      (OR (member (KAR D) |$SpecialDomainNames|) (|isFunctor| D)
-          (AND (PROGN
-                 (SPADLET |ISTMP#1| (|getmode| D |e|))
-                 (AND (PAIRP |ISTMP#1|)
-                      (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                      (PROGN
-                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                        (AND (PAIRP |ISTMP#2|)
-                             (PROGN
-                               (SPADLET |target| (QCAR |ISTMP#2|))
-                               'T)))))
-               (|isCategoryForm| |target| |e|))
-          (|isCategoryForm| (|getmode| D |e|) |e|)
-          (|isDomainConstructorForm| D |e|)))))
-
-;isDomainConstructorForm(D,e) ==
-;  D is [op,:argl] and (u:= get(op,"value",e)) and
-;    u is [.,["Mapping",target,:.],:.] and
-;      isCategoryForm(EQSUBSTLIST(argl,$FormalMapVariableList,target),e)
-
-(DEFUN |isDomainConstructorForm| (D |e|)
-  (PROG (|op| |argl| |u| |ISTMP#1| |ISTMP#2| |ISTMP#3| |target|)
-  (declare (special |$FormalMapVariableList|))
-    (RETURN
-      (AND (PAIRP D)
-           (PROGN
-             (SPADLET |op| (QCAR D))
-             (SPADLET |argl| (QCDR D))
-             'T)
-           (SPADLET |u| (|get| |op| '|value| |e|)) (PAIRP |u|)
-           (PROGN
-             (SPADLET |ISTMP#1| (QCDR |u|))
-             (AND (PAIRP |ISTMP#1|)
-                  (PROGN
-                    (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                    (AND (PAIRP |ISTMP#2|)
-                         (EQ (QCAR |ISTMP#2|) '|Mapping|)
-                         (PROGN
-                           (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                           (AND (PAIRP |ISTMP#3|)
-                                (PROGN
-                                  (SPADLET |target| (QCAR |ISTMP#3|))
-                                  'T)))))))
-           (|isCategoryForm|
-               (EQSUBSTLIST |argl| |$FormalMapVariableList| |target|)
-               |e|)))))
-
-;isFunctor x ==
-;  op:= opOf x
-;  not IDENTP op => false
-;  $InteractiveMode =>
-;    MEMQ(op,'(Union SubDomain Mapping Record)) => true
-;    MEMQ(GETDATABASE(op,'CONSTRUCTORKIND),'(domain package))
-;  u:= get(op,'isFunctor,$CategoryFrame)
-;    or MEMQ(op,'(SubDomain Union Record)) => u
-;  constructor? op =>
-;    prop := get(op,'isFunctor,$CategoryFrame) => prop
-;    if GETDATABASE(op,'CONSTRUCTORKIND) = 'category
-;      then updateCategoryFrameForCategory op
-;      else updateCategoryFrameForConstructor op
-;    get(op,'isFunctor,$CategoryFrame)
-;  nil
-;
-;
-;
-
-(DEFUN |isFunctor| (|x|)
-  (PROG (|op| |u| |prop|)
-  (declare (special |$CategoryFrame| |$InteractiveMode|))
-    (RETURN
-      (PROGN
-        (SPADLET |op| (|opOf| |x|))
-        (COND
-          ((NULL (IDENTP |op|)) NIL)
-          (|$InteractiveMode|
-              (COND
-                ((member |op| '(|Union| |SubDomain| |Mapping| |Record|))
-                 'T)
-                ('T
-                 (member (GETDATABASE |op| 'CONSTRUCTORKIND)
-                       '(|domain| |package|)))))
-          ((SPADLET |u|
-                    (OR (|get| |op| '|isFunctor| |$CategoryFrame|)
-                        (member |op| '(|SubDomain| |Union| |Record|))))
-           |u|)
-          ((|constructor?| |op|)
-           (COND
-             ((SPADLET |prop|
-                       (|get| |op| '|isFunctor| |$CategoryFrame|))
-              |prop|)
-             ('T
-              (COND
-                ((BOOT-EQUAL (GETDATABASE |op| 'CONSTRUCTORKIND)
-                     '|category|)
-                 (|updateCategoryFrameForCategory| |op|))
-                ('T (|updateCategoryFrameForConstructor| |op|)))
-              (|get| |op| '|isFunctor| |$CategoryFrame|))))
-          ('T NIL))))))
-
 \end{chunk}
 \eject
 \begin{thebibliography}{99}
diff -Nru axiom-20110301a/src/interp/Makefile.pamphlet axiom-20111101/src/interp/Makefile.pamphlet
--- axiom-20110301a/src/interp/Makefile.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/Makefile.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -66,6 +66,13 @@
 
 @
 
+We need to extract the Numerics chunk from bookvol10.5. We do 
+this using the tangle function in the lisp image.
+<>=
+LISPTANGLE= ${OBJ}/${SYS}/bin/lisp
+
+@
+
 Most of the interpreter is written in {\bf boot} \cite{2}.
 Thus we need a program to translate {\bf boot} to Common
 Lisp. This is called the {\bf BOOTSYS} image (because the
@@ -95,9 +102,7 @@
 expanded in later compiles. All macros are assumed to be
 in this list of files.
 <>=
-DEP= ${MID}/vmlisp.lisp    \
-     ${MID}/foam_l.lisp \
-     ${MID}/axext_l.lisp
+DEP= ${MID}/vmlisp.lisp
 
 @
 
@@ -145,10 +150,9 @@
       ${OUT}/cfuns.${O} \
       ${OUT}/clam.${O}        ${OUT}/clammed.${O} \
       ${OUT}/compress.${O} \
-      ${OUT}/database.${O} \
       ${OUT}/format.${O} \
       ${OUT}/g-boot.${O}      ${OUT}/g-cndata.${O} \
-      ${OUT}/g-error.${O}     ${OUT}/g-opt.${O} \
+      ${OUT}/g-error.${O}     \
       ${OUT}/g-timer.${O}     ${OUT}/g-util.${O} \
       ${OUT}/http.${O} \
       ${OUT}/hypertex.${O}    ${OUT}/i-analy.${O} \
@@ -163,11 +167,10 @@
       ${OUT}/i-util.${O} \
       ${OUT}/lisplib.${O}  \
       ${OUT}/match.${O}    \
-      ${OUT}/msgdb.${O}       ${OUT}/nci.${O}  \
+      ${OUT}/msgdb.${O}    \
       ${OUT}/newfort.${O} \
       ${OUT}/nrunfast.${O} \
       ${OUT}/nrungo.${O}      ${OUT}/nrunopt.${O} \
-      ${OUT}/nruntime.${O}    \
       ${OUT}/posit.${O}       \
       ${OUT}/record.${O}      ${OUT}/regress.${O} \
       ${OUT}/rulesets.${O} \
@@ -178,13 +181,12 @@
       ${OUT}/template.${O}    ${OUT}/termrw.${O} \
       ${OUT}/fortcall.${O} \
       ${OUT}/parsing.${O}  \
-      ${OUT}/apply.${O}	      ${OUT}/c-doc.${O}    \
       ${OUT}/c-util.${O}      ${OUT}/profile.${O}  \
-      ${OUT}/category.${O}    ${OUT}/compiler.${O} \
-      ${OUT}/define.${O}      ${OUT}/functor.${O}  \
+      ${OUT}/category.${O}    \
+      ${OUT}/functor.${O}  \
       ${OUT}/info.${O}        ${OUT}/iterator.${O} \
-      ${OUT}/modemap.${O}     ${OUT}/nruncomp.${O} \
-      ${OUT}/package.${O}     ${OUT}/htcheck.${O}
+      ${OUT}/nruncomp.${O} \
+      ${OUT}/htcheck.${O}
 
 
 @
@@ -251,14 +253,7 @@
 The {\bf ASCOMP} list contains files used by the {\bf Aldor}
 \cite{5} compiler. These files should probably be autoloaded.
 <>=
-ASCOMP= ${OUT}/hashcode.${O} ${OUT}/as.${O} \
-	${OUT}/foam_l.${O} ${OUT}/axext_l.${O}
-
-@
-The {\bf ASAUTO} list contains files used by the {\bf Aldor}
-\cite{5} compiler. These files are autoloaded as needed.
-<>=
-ASAUTO= ${AUTO}/ax.${O}
+ASCOMP= ${OUT}/hashcode.${O}
 
 @
 
@@ -514,6 +509,12 @@
     (gbc t)\
 \end{verbatim}
 
+We need to forget the build time system paths per Camm Maguire's email
+on July 14th, 2011
+\begin{verbatim}
+     (si::reset-sys-paths)
+\end{verbatim}
+
 Turn on SGC (Stratified Garbage Collection) in the final image.  This
 is a optional gbc algorithm which is suitable for images which will
 not grow much further.  It marks a large fraction of the heap
@@ -570,6 +571,7 @@
 	  '(setq si::collect-binary-modules* nil' \
                 'si::*binary-modules* nil)' \
 	  '(gbc t)' \
+          '(si::reset-sys-paths)' \
 	  '(when (fboundp (quote si::sgc-on)) (si::sgc-on t))' \
 	  '(setq compiler::*default-system-p* t)"' \
          'si::*system-directory* (quote (list ".lsp")))'\
@@ -643,7 +645,7 @@
 ${SAVESYS}:	${DEPSYS} ${OBJS} ${OUT}/bookvol5.${O} ${OUT}/util.${O} \
                 ${OUT}/nocompil.${LISP} ${OUT}/sys-pkg.${LISP} \
 	        ${OUTINTERP} ${BROBJS} \
-		${OUT}/database.date ${INOBJS} ${ASCOMP} ${ASAUTO} \
+		${OUT}/database.date ${INOBJS} ${ASCOMP} \
 		${NAGBROBJS} \
 	        ${LOADSYS} \
 		${SRC}/doc/msgs/s2-us.msgs \
@@ -679,7 +681,7 @@
           '(quote ($(patsubst %, "%", ${BROBJS})))'  \
           nil  \
           '(quote ($(patsubst %, "%", ${NAGBROBJS})))'  \
-          '(quote ($(patsubst %, "%", ${ASAUTO})))'  \
+          nil \
           '"${SPAD}"  "${LSP}" "${SRC}" "${INT}"' \
           '"${OBJ}" "${MNT}" "${SYS}")' >> ${OUT}/makeint.lisp
 	@ echo '(in-package "SCRATCHPAD-COMPILER")' >> ${OUT}/makeint.lisp
@@ -720,29 +722,6 @@
 
 \section{The Interpreter files}
 
-<>=
-${OUT}/apply.${O}: ${MID}/apply.lisp 
-	@ echo 10 making ${OUT}/apply.${O} from ${MID}/apply.lisp
-	@ (cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/apply.lisp"' \
-             ':output-file "${OUT}/apply.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/apply.lisp"' \
-             ':output-file "${OUT}/apply.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/apply.lisp: ${IN}/apply.lisp.pamphlet
-	@ echo 11 making ${MID}/apply.lisp from ${IN}/apply.lisp.pamphlet
-	@( cd ${MID} ; \
-          echo '(tangle "${IN}/apply.lisp.pamphlet" "*" "apply.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{cfuns.lisp \cite{10}}
 <>=
 ${OUT}/cfuns.${O}: ${MID}/cfuns.lisp
@@ -1535,30 +1514,6 @@
 
 @
 
-\subsection{c-doc.lisp}
-<>=
-${OUT}/c-doc.${O}: ${MID}/c-doc.lisp
-	@ echo 136 making ${OUT}/c-doc.${O} from ${MID}/c-doc.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/c-doc.lisp"' \
-             ':output-file "${OUT}/c-doc.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/c-doc.lisp"' \
-             ':output-file "${OUT}/c-doc.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/c-doc.lisp: ${IN}/c-doc.lisp.pamphlet
-	@ echo 137 making ${MID}/c-doc.lisp from ${IN}/c-doc.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/c-doc.lisp.pamphlet" "*" "c-doc.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{clam.lisp}
 <>=
 ${OUT}/clam.${O}: ${MID}/clam.lisp
@@ -1616,31 +1571,6 @@
 
 @
 
-\subsection{compiler.lisp}
-<>=
-${OUT}/compiler.${O}: ${MID}/compiler.lisp
-	@ echo 136 making ${OUT}/compiler.${O} from ${MID}/compiler.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/compiler.lisp"' \
-             ':output-file "${OUT}/compiler.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/compiler.lisp"' \
-             ':output-file "${OUT}/compiler.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/compiler.lisp: ${IN}/compiler.lisp.pamphlet
-	@ echo 137 making ${MID}/compiler.lisp from \
-           ${IN}/compiler.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/compiler.lisp.pamphlet" "*" "compiler.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{profile.lisp}
 <>=
 ${OUT}/profile.${O}: ${MID}/profile.lisp
@@ -1690,55 +1620,6 @@
 
 @
 
-\subsection{database.lisp}
-<>=
-${OUT}/database.${O}: ${MID}/database.lisp
-	@ echo 136 making ${OUT}/database.${O} from ${MID}/database.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/database.lisp"' \
-             ':output-file "${OUT}/database.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/database.lisp"' \
-             ':output-file "${OUT}/database.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/database.lisp: ${IN}/database.lisp.pamphlet
-	@ echo 137 making ${MID}/database.lisp from \
-           ${IN}/database.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/database.lisp.pamphlet" "*" "database.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
-\subsection{define.lisp}
-<>=
-${OUT}/define.${O}: ${MID}/define.lisp
-	@ echo 136 making ${OUT}/define.${O} from ${MID}/define.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/define.lisp"' \
-             ':output-file "${OUT}/define.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/define.lisp"' \
-             ':output-file "${OUT}/define.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/define.lisp: ${IN}/define.lisp.pamphlet
-	@ echo 137 making ${MID}/define.lisp from ${IN}/define.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/define.lisp.pamphlet" "*" "define.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{format.lisp}
 <>=
 ${OUT}/format.${O}: ${MID}/format.lisp
@@ -1869,30 +1750,6 @@
 
 @
 
-\subsection{g-opt.lisp}
-<>=
-${OUT}/g-opt.${O}: ${MID}/g-opt.lisp
-	@ echo 136 making ${OUT}/g-opt.${O} from ${MID}/g-opt.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/g-opt.lisp"' \
-             ':output-file "${OUT}/g-opt.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/g-opt.lisp"' \
-             ':output-file "${OUT}/g-opt.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/g-opt.lisp: ${IN}/g-opt.lisp.pamphlet
-	@ echo 137 making ${MID}/g-opt.lisp from ${IN}/g-opt.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/g-opt.lisp.pamphlet" "*" "g-opt.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{g-timer.lisp}
 <>=
 ${OUT}/g-timer.${O}: ${MID}/g-timer.lisp
@@ -2206,8 +2063,7 @@
 ${MID}/bookvol10.5.${LISP}: ${IN}/bookvol10.5.pamphlet
 	@ echo 298 making ${MID}/bookvol10.5.${LISP} from ${IN}/bookvol10.5.pamphlet
 	@ (cd ${MID} ; \
-	  ${TANGLE} -RNumerics ${IN}/bookvol10.5.pamphlet \
-             >bookvol10.5.${LISP} )
+echo '(tangle "${IN}/bookvol10.5.pamphlet" "Numerics" "bookvol10.5.${LISP}")' | ${LISPTANGLE} )
 
 @
 \subsection{i-intern.lisp}
@@ -2482,30 +2338,6 @@
 
 @
 
-\subsection{modemap.lisp}
-<>=
-${OUT}/modemap.${O}: ${MID}/modemap.lisp
-	@ echo 136 making ${OUT}/modemap.${O} from ${MID}/modemap.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/modemap.lisp"' \
-             ':output-file "${OUT}/modemap.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/modemap.lisp"' \
-             ':output-file "${OUT}/modemap.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/modemap.lisp: ${IN}/modemap.lisp.pamphlet
-	@ echo 137 making ${MID}/modemap.lisp from ${IN}/modemap.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/modemap.lisp.pamphlet" "*" "modemap.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{msgdb.lisp}
 <>=
 ${OUT}/msgdb.${O}: ${MID}/msgdb.lisp
@@ -2628,31 +2460,6 @@
 
 @
 
-\subsection{nruntime.lisp}
-<>=
-${OUT}/nruntime.${O}: ${MID}/nruntime.lisp
-	@ echo 136 making ${OUT}/nruntime.${O} from ${MID}/nruntime.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/nruntime.lisp"' \
-             ':output-file "${OUT}/nruntime.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/nruntime.lisp"' \
-             ':output-file "${OUT}/nruntime.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/nruntime.lisp: ${IN}/nruntime.lisp.pamphlet
-	@ echo 137 making ${MID}/nruntime.lisp from \
-             ${IN}/nruntime.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/nruntime.lisp.pamphlet" "*" "nruntime.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{nrunopt.lisp}
 <>=
 ${OUT}/nrunopt.${O}: ${MID}/nrunopt.lisp
@@ -2677,30 +2484,6 @@
 
 @
 
-\subsection{package.lisp}
-<>=
-${OUT}/package.${O}: ${MID}/package.lisp
-	@ echo 136 making ${OUT}/package.${O} from ${MID}/package.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/package.lisp"' \
-             ':output-file "${OUT}/package.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/package.lisp"' \
-             ':output-file "${OUT}/package.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/package.lisp: ${IN}/package.lisp.pamphlet
-	@ echo 137 making ${MID}/package.lisp from ${IN}/package.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/package.lisp.pamphlet" "*" "package.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{regress.lisp}
 <>=
 ${OUT}/regress.${O}: ${MID}/regress.${LISP}
@@ -2873,30 +2656,6 @@
 
 @
 
-\subsection{as.lisp}
-<>=
-${OUT}/as.${O}: ${MID}/as.lisp
-	@ echo 136 making ${OUT}/as.${O} from ${MID}/as.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/as.lisp"' \
-             ':output-file "${OUT}/as.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/as.lisp"' \
-             ':output-file "${OUT}/as.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/as.lisp: ${IN}/as.lisp.pamphlet
-	@ echo 137 making ${MID}/as.lisp from ${IN}/as.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/as.lisp.pamphlet" "*" "as.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{bc-matrix.lisp}
 <>=
 ${AUTO}/bc-matrix.${O}: ${OUT}/bc-matrix.${O}
@@ -3009,36 +2768,6 @@
 
 @
 
-\subsection{ax.lisp}
-<>=
-${AUTO}/ax.${O}: ${OUT}/ax.${O}
-	@ echo 465 making ${AUTO}/ax.${O} from ${OUT}/ax.${O}
-	@ cp ${OUT}/ax.${O} ${AUTO}
-
-@
-<>=
-${OUT}/ax.${O}: ${MID}/ax.lisp
-	@ echo 136 making ${OUT}/ax.${O} from ${MID}/ax.lisp
-	@ ( cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/ax.lisp"' \
-             ':output-file "${OUT}/ax.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/ax.lisp"' \
-             ':output-file "${OUT}/ax.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/ax.lisp: ${IN}/ax.lisp.pamphlet
-	@ echo 137 making ${MID}/ax.lisp from ${IN}/ax.lisp.pamphlet
-	@ (cd ${MID} ; \
-          echo '(tangle "${IN}/ax.lisp.pamphlet" "*" "ax.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{br-con.lisp}
 <>=
 ${AUTO}/br-con.${O}: ${OUT}/br-con.${O}
@@ -3123,29 +2852,6 @@
 
 @
 
-\subsection{nci.lisp}
-<>=
-${OUT}/nci.${O}: ${MID}/nci.lisp
-	@ echo 558 making ${OUT}/nci.${O} from ${MID}/nci.lisp
-	@ if [ -z "${NOISE}" ] ; then \
-	   echo '(progn (compile-file "${MID}/nci.lisp"' \
-            ':output-file "${OUT}/nci.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn (compile-file "${MID}/nci.lisp"' \
-            ':output-file "${OUT}/nci.${O}") (${BYE}))' | ${DEPSYS} \
-            >${TMP}/trace ; \
-	  fi
-
-@
-<>=
-${MID}/nci.lisp: ${IN}/nci.lisp.pamphlet
-	@ echo 559 making ${MID}/nci.lisp from ${IN}/nci.lisp.pamphlet
-	@(cd ${MID} ; \
-          echo '(tangle "${IN}/nci.lisp.pamphlet" "*" "nci.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \subsection{sfsfun-l.lisp}
 <>=
 ${OUT}/sfsfun-l.${O}: ${MID}/sfsfun-l.lisp
@@ -3243,57 +2949,6 @@
 
 @
 
-\subsection{axext\_l.lisp}
-<>=
-# .lisp files for AXIOM-XL support
-
-${OUT}/axext_l.${O}: ${MID}/axext_l.lisp
-	@ echo 607 making ${OUT}/axext_l.${O} from ${MID}/axext_l.lisp
-	@ (cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "${MID}/axext_l.lisp"' \
-             ':output-file "${OUT}/axext_l.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "${MID}/axext_l.lisp"' \
-             ':output-file "${OUT}/axext_l.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/axext_l.lisp: ${IN}/axext_l.lisp.pamphlet
-	@ echo 608 making ${MID}/axext_l.lisp from ${IN}/axext_l.lisp.pamphlet
-	@(cd ${MID} ; \
-          echo '(tangle "${IN}/axext_l.lisp.pamphlet" "*" "axext_l.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
-\subsection{foam\_l.lisp}
-Note that this code links the interpreter with the Aldor compiler.
-<>=
-${OUT}/foam_l.${O}: ${MID}/foam_l.lisp
-	@ echo 610 making ${OUT}/foam_l.${O} from ${MID}/foam_l.lisp
-	@ (cd ${MID} ; \
-	  if [ -z "${NOISE}" ] ; then \
-	   echo '(progn  (compile-file "foam_l.lisp"' \
-             ':output-file "${OUT}/foam_l.${O}") (${BYE}))' | ${DEPSYS} ; \
-	  else \
-	   echo '(progn  (compile-file "foam_l.lisp"' \
-             ':output-file "${OUT}/foam_l.${O}") (${BYE}))' | ${DEPSYS} \
-             >${TMP}/trace ; \
-	  fi )
-
-@
-<>=
-${MID}/foam_l.lisp: ${IN}/foam_l.lisp.pamphlet
-	@ echo 611 making ${MID}/foam_l.lisp from ${IN}/foam_l.lisp.pamphlet
-	@(cd ${MID} ; \
-          echo '(tangle "${IN}/foam_l.lisp.pamphlet" "*" "foam_l.lisp")' \
-        | ${OBJ}/${SYS}/bin/lisp )
-
-@
-
 \section{The databases}
 \subsection{autoload dependencies}
 If you are adding a file which is to be autoloaded the following step
@@ -3342,19 +2997,6 @@
 <>
 <>
 
-<>
-<>
-
-<>
-<>
-
-<>
-<>
-<>
-
-<>
-<>
-
 <>
 <>
 <>
@@ -3372,9 +3014,6 @@
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
@@ -3385,9 +3024,6 @@
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
@@ -3395,23 +3031,14 @@
 <>
 <>
 
-<>
-<>
-
 <>
 
-<>
-<>
-
 <>
 <>
 
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
@@ -3425,9 +3052,6 @@
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
@@ -3517,9 +3141,6 @@
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
@@ -3579,9 +3200,6 @@
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
@@ -3597,15 +3215,9 @@
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 
-<>
-<>
-
 <>
 <>
 <>
diff -Nru axiom-20110301a/src/interp/match.lisp.pamphlet axiom-20111101/src/interp/match.lisp.pamphlet
--- axiom-20110301a/src/interp/match.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/match.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -213,7 +213,7 @@
   (PROG (|op| |argl|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pattern|)
+             ((AND (CONSP |pattern|)
                    (PROGN
                      (SPADLET |op| (QCAR |pattern|))
                      (SPADLET |argl| (QCDR |pattern|))
diff -Nru axiom-20110301a/src/interp/modemap.lisp.pamphlet axiom-20111101/src/interp/modemap.lisp.pamphlet
--- axiom-20110301a/src/interp/modemap.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/modemap.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,1105 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp modemap.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(IN-PACKAGE "BOOT" )
-
-;--% EXTERNAL ROUTINES
-;
-;--These functions are called from outside this file to add a domain
-;--   or to get the current domains in scope;
-;
-;addDomain(domain,e) ==
-;  atom domain =>
-;    EQ(domain,"$EmptyMode") => e
-;    EQ(domain,"$NoValueMode") => e
-;    not IDENTP domain or 2<#(s:= STRINGIMAGE domain) and
-;      EQ(char "#",s.(0)) and EQ(char "#",s.(1)) => e
-;    MEMQ(domain,getDomainsInScope e) => e
-;    isLiteral(domain,e) => e
-;    addNewDomain(domain,e)
-;  (name:= first domain)='Category => e
-;  domainMember(domain,getDomainsInScope e) => e
-;  getmode(name,e) is ["Mapping",target,:.] and isCategoryForm(target,e)=>
-;      addNewDomain(domain,e)
-;    -- constructor? test needed for domains compiled with $bootStrapMode=true
-;  isFunctor name or constructor? name => addNewDomain(domain,e)
-;  if not isCategoryForm(domain,e) and
-;    not MEMBER(name,'(Mapping CATEGORY)) then
-;      unknownTypeError name
-;  e        --is not a functor
-
-(DEFUN |addDomain| (|domain| |e|)
-  (PROG (|s| |name| |ISTMP#1| |ISTMP#2| |target|)
-    (RETURN
-      (COND
-        ((ATOM |domain|)
-         (COND
-           ((EQ |domain| '|$EmptyMode|) |e|)
-           ((EQ |domain| '|$NoValueMode|) |e|)
-           ((OR (NULL (IDENTP |domain|))
-                (AND (QSLESSP 2
-                              (|#| (SPADLET |s| (STRINGIMAGE |domain|))))
-                     (EQ (|char| '|#|) (ELT |s| 0))
-                     (EQ (|char| '|#|) (ELT |s| 1))))
-            |e|)
-           ((member |domain| (|getDomainsInScope| |e|)) |e|)
-           ((|isLiteral| |domain| |e|) |e|)
-           ('T (|addNewDomain| |domain| |e|))))
-        ((BOOT-EQUAL (SPADLET |name| (CAR |domain|)) '|Category|) |e|)
-        ((|domainMember| |domain| (|getDomainsInScope| |e|)) |e|)
-        ((AND (PROGN
-                (SPADLET |ISTMP#1| (|getmode| |name| |e|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '|Mapping|)
-                     (PROGN
-                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
-                            (PROGN
-                              (SPADLET |target| (QCAR |ISTMP#2|))
-                              'T)))))
-              (|isCategoryForm| |target| |e|))
-         (|addNewDomain| |domain| |e|))
-        ((OR (|isFunctor| |name|) (|constructor?| |name|))
-         (|addNewDomain| |domain| |e|))
-        ('T
-         (COND
-           ((AND (NULL (|isCategoryForm| |domain| |e|))
-                 (NULL (|member| |name| '(|Mapping| CATEGORY))))
-            (|unknownTypeError| |name|)))
-         |e|)))))
-
-;domainMember(dom,domList) == or/[modeEqual(dom,d) for d in domList]
-
-(DEFUN |domainMember| (|dom| |domList|)
-  (PROG ()
-    (RETURN
-      (SEQ (PROG (G166077)
-             (SPADLET G166077 NIL)
-             (RETURN
-               (DO ((G166083 NIL G166077)
-                    (G166084 |domList| (CDR G166084)) (|d| NIL))
-                   ((OR G166083 (ATOM G166084)
-                        (PROGN (SETQ |d| (CAR G166084)) NIL))
-                    G166077)
-                 (SEQ (EXIT (SETQ G166077
-                                  (OR G166077
-                                      (|modeEqual| |dom| |d|))))))))))))
-
-;--% MODEMAP FUNCTIONS
-;
-;--getTargetMode(x is [op,:argl],e) ==
-;--  CASES(#(mml:= getModemapList(op,#argl,e)),
-;--    (1 =>
-;--    ([[.,target,:.],:.]:= first mml; substituteForFormalArguments(argl,target))
-;--      ; 0 => MOAN(x," has no modemap"); systemError [x," has duplicate modemaps"]))
-;
-;getModemap(x is [op,:.],e) ==
-;  for modemap in get(op,'modemap,e) repeat
-;    if u:= compApplyModemap(x,modemap,e,nil) then return
-;      ([.,.,sl]:= u; SUBLIS(sl,modemap))
-
-(DEFUN |getModemap| (|x| |e|)
-  (PROG (|op| |u| |sl|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |op| (CAR |x|))
-             (DO ((G166111 (|get| |op| '|modemap| |e|)
-                      (CDR G166111))
-                  (|modemap| NIL))
-                 ((OR (ATOM G166111)
-                      (PROGN (SETQ |modemap| (CAR G166111)) NIL))
-                  NIL)
-               (SEQ (EXIT (COND
-                            ((SPADLET |u|
-                                      (|compApplyModemap| |x| |modemap|
-                                       |e| NIL))
-                             (RETURN
-                               (PROGN
-                                 (SPADLET |sl| (CADDR |u|))
-                                 (SUBLIS |sl| |modemap|))))
-                            ('T NIL))))))))))
-
-;getUniqueSignature(form,e) ==
-;  [[.,:sig],:.]:= getUniqueModemap(first form,#rest form,e) or return nil
-;  sig
-
-(DEFUN |getUniqueSignature| (|form| |e|)
-  (PROG (|LETTMP#1| |sig|)
-    (RETURN
-      (PROGN
-        (SPADLET |LETTMP#1|
-                 (OR (|getUniqueModemap| (CAR |form|)
-                         (|#| (CDR |form|)) |e|)
-                     (RETURN NIL)))
-        (SPADLET |sig| (CDAR |LETTMP#1|))
-        |sig|))))
-
-;getUniqueModemap(op,numOfArgs,e) ==
-;  1=#(mml:= getModemapList(op,numOfArgs,e)) => first mml
-;  1<#mml =>
-;    stackWarning [numOfArgs,'" argument form of: ",op,
-;      '" has more than one modemap"]
-;    first mml
-;  nil
-
-(DEFUN |getUniqueModemap| (|op| |numOfArgs| |e|)
-  (PROG (|mml|)
-    (RETURN
-      (COND
-        ((EQL 1
-              (|#| (SPADLET |mml|
-                            (|getModemapList| |op| |numOfArgs| |e|))))
-         (CAR |mml|))
-        ((QSLESSP 1 (|#| |mml|))
-         (|stackWarning|
-             (CONS |numOfArgs|
-                   (CONS " argument form of: "
-                         (CONS |op|
-                               (CONS " has more than one modemap"
-                                     NIL)))))
-         (CAR |mml|))
-        ('T NIL)))))
-
-;getModemapList(op,numOfArgs,e) ==
-;  op is ['elt,D,op'] => getModemapListFromDomain(op',numOfArgs,D,e)
-;  [mm for
-;    (mm:= [[.,.,:sigl],:.]) in get(op,'modemap,e) | numOfArgs=#sigl]
-
-(DEFUN |getModemapList| (|op| |numOfArgs| |e|)
-  (PROG (|ISTMP#1| D |ISTMP#2| |op'| |sigl|)
-    (RETURN
-      (SEQ (COND
-             ((AND (PAIRP |op|) (EQ (QCAR |op|) '|elt|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |op|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET D (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |op'| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (|getModemapListFromDomain| |op'| |numOfArgs| D |e|))
-             ('T
-              (PROG (G166165)
-                (SPADLET G166165 NIL)
-                (RETURN
-                  (DO ((G166172 (|get| |op| '|modemap| |e|)
-                           (CDR G166172))
-                       (|mm| NIL))
-                      ((OR (ATOM G166172)
-                           (PROGN (SETQ |mm| (CAR G166172)) NIL)
-                           (PROGN
-                             (PROGN
-                               (SPADLET |sigl| (CDDAR |mm|))
-                               |mm|)
-                             NIL))
-                       (NREVERSE0 G166165))
-                    (SEQ (EXIT (COND
-                                 ((BOOT-EQUAL |numOfArgs| (|#| |sigl|))
-                                  (SETQ G166165
-                                        (CONS |mm| G166165)))))))))))))))
-
-;getModemapListFromDomain(op,numOfArgs,D,e) ==
-;  [mm
-;    for (mm:= [[dc,:sig],:.]) in get(op,'modemap,e) | dc=D and #rest sig=
-;      numOfArgs]
-
-(DEFUN |getModemapListFromDomain| (|op| |numOfArgs| D |e|)
-  (PROG (|dc| |sig|)
-    (RETURN
-      (SEQ (PROG (G166197)
-             (SPADLET G166197 NIL)
-             (RETURN
-               (DO ((G166204 (|get| |op| '|modemap| |e|)
-                        (CDR G166204))
-                    (|mm| NIL))
-                   ((OR (ATOM G166204)
-                        (PROGN (SETQ |mm| (CAR G166204)) NIL)
-                        (PROGN
-                          (PROGN
-                            (SPADLET |dc| (CAAR |mm|))
-                            (SPADLET |sig| (CDAR |mm|))
-                            |mm|)
-                          NIL))
-                    (NREVERSE0 G166197))
-                 (SEQ (EXIT (COND
-                              ((AND (BOOT-EQUAL |dc| D)
-                                    (BOOT-EQUAL (|#| (CDR |sig|))
-                                     |numOfArgs|))
-                              (SETQ G166197 (CONS |mm| G166197)))))))))))))
-
-;addModemapKnown(op,mc,sig,pred,fn,$e) ==
-;--  if knownInfo pred then pred:=true
-;--  that line is handled elsewhere
-;  $insideCapsuleFunctionIfTrue=true =>
-;    $CapsuleModemapFrame :=
-;      addModemap0(op,mc,sig,pred,fn,$CapsuleModemapFrame)
-;    $e
-;  addModemap0(op,mc,sig,pred,fn,$e)
-
-(DEFUN |addModemapKnown| (|op| |mc| |sig| |pred| |fn| |$e|)
-  (DECLARE (SPECIAL |$e| |$CapsuleModemapFrame| 
-                    |$insideCapsuleFunctionIfTrue|))
-  (COND
-    ((BOOT-EQUAL |$insideCapsuleFunctionIfTrue| 'T)
-     (SPADLET |$CapsuleModemapFrame|
-              (|addModemap0| |op| |mc| |sig| |pred| |fn|
-                  |$CapsuleModemapFrame|))
-     |$e|)
-    ('T (|addModemap0| |op| |mc| |sig| |pred| |fn| |$e|))))
-
-;addModemap0(op,mc,sig,pred,fn,e) ==
-;  --mc is the "mode of computation"; fn the "implementation"
-;  $functorForm is ['CategoryDefaults,:.] and mc="$" => e
-;    --don't put CD modemaps into environment
-;  --fn is ['Subsumed,:.] => e  -- don't skip subsumed modemaps
-;                               -- breaks -:($,$)->U($,failed) in DP
-;  op='elt or op='setelt => addEltModemap(op,mc,sig,pred,fn,e)
-;  addModemap1(op,mc,sig,pred,fn,e)
-
-(DEFUN |addModemap0| (|op| |mc| |sig| |pred| |fn| |e|)
-  (declare (special |$functorForm|))
-  (COND
-    ((AND (PAIRP |$functorForm|)
-          (EQ (QCAR |$functorForm|) '|CategoryDefaults|)
-          (BOOT-EQUAL |mc| '$))
-     |e|)
-    ((OR (BOOT-EQUAL |op| '|elt|) (BOOT-EQUAL |op| '|setelt|))
-     (|addEltModemap| |op| |mc| |sig| |pred| |fn| |e|))
-    ('T (|addModemap1| |op| |mc| |sig| |pred| |fn| |e|))))
-
-;addEltModemap(op,mc,sig,pred,fn,e) ==
-;   --hack to change selectors from strings to identifiers; and to
-;   --add flag identifiers as literals in the envir
-;  op='elt and sig is [:lt,sel] =>
-;    STRINGP sel =>
-;      id:= INTERN sel
-;      if $insideCapsuleFunctionIfTrue=true
-;         then $e:= makeLiteral(id,$e)
-;         else e:= makeLiteral(id,e)
-;      addModemap1(op,mc,[:lt,id],pred,fn,e)
-;    -- atom sel => systemErrorHere '"addEltModemap"
-;    addModemap1(op,mc,sig,pred,fn,e)
-;  op='setelt and sig is [:lt,sel,v] =>
-;    STRINGP sel =>
-;      id:= INTERN sel
-;      if $insideCapsuleFunctionIfTrue=true
-;         then $e:= makeLiteral(id,$e)
-;         else e:= makeLiteral(id,e)
-;      addModemap1(op,mc,[:lt,id,v],pred,fn,e)
-;    -- atom sel => systemError '"addEltModemap"
-;    addModemap1(op,mc,sig,pred,fn,e)
-;  systemErrorHere '"addEltModemap"
-
-(DEFUN |addEltModemap| (|op| |mc| |sig| |pred| |fn| |e|)
-  (PROG (|ISTMP#1| |v| |ISTMP#2| |sel| |lt| |id|)
-  (declare (special |$e| |$insideCapsuleFunctionIfTrue|))
-    (RETURN
-      (COND
-        ((AND (BOOT-EQUAL |op| '|elt|) (PAIRP |sig|)
-              (PROGN (SPADLET |ISTMP#1| (REVERSE |sig|)) 'T)
-              (PAIRP |ISTMP#1|)
-              (PROGN
-                (SPADLET |sel| (QCAR |ISTMP#1|))
-                (SPADLET |lt| (QCDR |ISTMP#1|))
-                'T)
-              (PROGN (SPADLET |lt| (NREVERSE |lt|)) 'T))
-         (COND
-           ((STRINGP |sel|) (SPADLET |id| (INTERN |sel|))
-            (COND
-              ((BOOT-EQUAL |$insideCapsuleFunctionIfTrue| 'T)
-               (SPADLET |$e| (|makeLiteral| |id| |$e|)))
-              ('T (SPADLET |e| (|makeLiteral| |id| |e|))))
-            (|addModemap1| |op| |mc| (APPEND |lt| (CONS |id| NIL))
-                |pred| |fn| |e|))
-           ('T (|addModemap1| |op| |mc| |sig| |pred| |fn| |e|))))
-        ((AND (BOOT-EQUAL |op| '|setelt|) (PAIRP |sig|)
-              (PROGN (SPADLET |ISTMP#1| (REVERSE |sig|)) 'T)
-              (PAIRP |ISTMP#1|)
-              (PROGN
-                (SPADLET |v| (QCAR |ISTMP#1|))
-                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                (AND (PAIRP |ISTMP#2|)
-                     (PROGN
-                       (SPADLET |sel| (QCAR |ISTMP#2|))
-                       (SPADLET |lt| (QCDR |ISTMP#2|))
-                       'T)))
-              (PROGN (SPADLET |lt| (NREVERSE |lt|)) 'T))
-         (COND
-           ((STRINGP |sel|) (SPADLET |id| (INTERN |sel|))
-            (COND
-              ((BOOT-EQUAL |$insideCapsuleFunctionIfTrue| 'T)
-               (SPADLET |$e| (|makeLiteral| |id| |$e|)))
-              ('T (SPADLET |e| (|makeLiteral| |id| |e|))))
-            (|addModemap1| |op| |mc|
-                (APPEND |lt| (CONS |id| (CONS |v| NIL))) |pred| |fn|
-                |e|))
-           ('T (|addModemap1| |op| |mc| |sig| |pred| |fn| |e|))))
-        ('T (|systemErrorHere| "addEltModemap"))))))
-
-;addModemap1(op,mc,sig,pred,fn,e) ==
-;   --mc is the "mode of computation"; fn the "implementation"
-;  if mc='Rep then
-;--     if fn is [kind,'Rep,.] and
-;               -- save old sig for NRUNTIME
-;--       (kind = 'ELT or kind = 'CONST) then fn:=[kind,'Rep,sig]
-;     sig:= substitute("$",'Rep,sig)
-;  currentProplist:= getProplist(op,e) or nil
-;  newModemapList:=
-;    mkNewModemapList(mc,sig,pred,fn,LASSOC('modemap,currentProplist),e,nil)
-;  newProplist:= augProplist(currentProplist,'modemap,newModemapList)
-;  newProplist':= augProplist(newProplist,"FLUID",true)
-;  unErrorRef op
-;        --There may have been a warning about op having no value
-;  addBinding(op,newProplist',e)
-
-(DEFUN |addModemap1| (|op| |mc| |sig| |pred| |fn| |e|)
-  (PROG (|currentProplist| |newModemapList| |newProplist|
-            |newProplist'|)
-    (RETURN
-      (PROGN
-        (COND
-          ((BOOT-EQUAL |mc| '|Rep|)
-           (SPADLET |sig| (MSUBST '$ '|Rep| |sig|))))
-        (SPADLET |currentProplist| (OR (|getProplist| |op| |e|) NIL))
-        (SPADLET |newModemapList|
-                 (|mkNewModemapList| |mc| |sig| |pred| |fn|
-                     (LASSOC '|modemap| |currentProplist|) |e| NIL))
-        (SPADLET |newProplist|
-                 (|augProplist| |currentProplist| '|modemap|
-                     |newModemapList|))
-        (SPADLET |newProplist'|
-                 (|augProplist| |newProplist| 'FLUID 'T))
-        (|unErrorRef| |op|)
-        (|addBinding| |op| |newProplist'| |e|)))))
-
-;mkNewModemapList(mc,sig,pred,fn,curModemapList,e,filenameOrNil) ==
-;  entry:= [map:= [mc,:sig],[pred,fn],:filenameOrNil]
-;  MEMBER(entry,curModemapList) => curModemapList
-;  (oldMap:= ASSOC(map,curModemapList)) and oldMap is [.,[opred, =fn],:.] =>
-;    $forceAdd => mergeModemap(entry,curModemapList,e)
-;    opred=true => curModemapList
-;    if pred^=true and pred^=opred then pred:= ["OR",pred,opred]
-;    [if x=oldMap then [map,[pred,fn],:filenameOrNil] else x
-;
-;  --if new modemap less general, put at end; otherwise, at front
-;      for x in curModemapList]
-;  $InteractiveMode => insertModemap(entry,curModemapList)
-;  mergeModemap(entry,curModemapList,e)
-
-(DEFUN |mkNewModemapList|
-       (|mc| |sig| |pred| |fn| |curModemapList| |e| |filenameOrNil|)
-  (PROG (|map| |entry| |oldMap| |ISTMP#1| |ISTMP#2| |opred| |ISTMP#3|)
-  (declare (special |$InteractiveMode| |$forceAdd|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |entry|
-                      (CONS (SPADLET |map| (CONS |mc| |sig|))
-                            (CONS (CONS |pred| (CONS |fn| NIL))
-                                  |filenameOrNil|)))
-             (COND
-               ((|member| |entry| |curModemapList|) |curModemapList|)
-               ((AND (SPADLET |oldMap|
-                              (|assoc| |map| |curModemapList|))
-                     (PAIRP |oldMap|)
-                     (PROGN
-                       (SPADLET |ISTMP#1| (QCDR |oldMap|))
-                       (AND (PAIRP |ISTMP#1|)
-                            (PROGN
-                              (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
-                                   (PROGN
-                                     (SPADLET |opred| (QCAR |ISTMP#2|))
-                                     (SPADLET |ISTMP#3|
-                                      (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
-                                      (EQ (QCDR |ISTMP#3|) NIL)
-                                      (EQUAL (QCAR |ISTMP#3|) |fn|))))))))
-                (COND
-                  (|$forceAdd|
-                      (|mergeModemap| |entry| |curModemapList| |e|))
-                  ((BOOT-EQUAL |opred| 'T) |curModemapList|)
-                  ('T
-                   (COND
-                     ((AND (NEQUAL |pred| 'T) (NEQUAL |pred| |opred|))
-                      (SPADLET |pred|
-                               (CONS 'OR
-                                     (CONS |pred| (CONS |opred| NIL))))))
-                   (PROG (G166301)
-                     (SPADLET G166301 NIL)
-                     (RETURN
-                       (DO ((G166306 |curModemapList|
-                                (CDR G166306))
-                            (|x| NIL))
-                           ((OR (ATOM G166306)
-                                (PROGN (SETQ |x| (CAR G166306)) NIL))
-                            (NREVERSE0 G166301))
-                         (SEQ (EXIT (SETQ G166301
-                                     (CONS
-                                      (COND
-                                        ((BOOT-EQUAL |x| |oldMap|)
-                                         (CONS |map|
-                                          (CONS
-                                           (CONS |pred|
-                                            (CONS |fn| NIL))
-                                           |filenameOrNil|)))
-                                        ('T |x|))
-                                      G166301))))))))))
-               (|$InteractiveMode|
-                   (|insertModemap| |entry| |curModemapList|))
-               ('T (|mergeModemap| |entry| |curModemapList| |e|))))))))
-
-;mergeModemap(entry is [[mc,:sig],[pred,:.],:.],modemapList,e) ==
-;  for (mmtail:= [[[mc',:sig'],[pred',:.],:.],:.]) in tails modemapList repeat
-;    mc=mc' or isSuperDomain(mc',mc,e) =>
-;      newmm:= nil
-;      mm:= modemapList
-;      while (not EQ(mm,mmtail)) repeat (newmm:= [first mm,:newmm]; mm:= rest mm)
-;      if (mc=mc') and (sig=sig') then
-;        --We only need one of these, unless the conditions are hairy
-;        not $forceAdd and TruthP pred' =>
-;          entry:=nil
-;              --the new predicate buys us nothing
-;          return modemapList
-;        TruthP pred => mmtail:=rest mmtail
-;          --the thing we matched against is useless, by comparison
-;      modemapList:= NCONC(NREVERSE newmm,[entry,:mmtail])
-;      entry:= nil
-;      return modemapList
-;  if entry then [:modemapList,entry] else modemapList
-
-(DEFUN |mergeModemap| (|entry| |modemapList| |e|)
-  (PROG (|mc| |sig| |pred| |mc'| |sig'| |pred'| |newmm| |mm|)
-  (declare (special |$forceAdd|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |mc| (CAAR |entry|))
-             (SPADLET |sig| (CDAR |entry|))
-             (SPADLET |pred| (CAADR |entry|))
-             (SEQ (DO ((|mmtail| |modemapList| (CDR |mmtail|)))
-                      ((OR (ATOM |mmtail|)
-                           (PROGN
-                             (PROGN
-                               (SPADLET |mc'| (CAAAR |mmtail|))
-                               (SPADLET |sig'| (CDAAR |mmtail|))
-                               (SPADLET |pred'| (CAADAR |mmtail|))
-                               |mmtail|)
-                             NIL))
-                       NIL)
-                    (SEQ (EXIT (COND
-                                 ((OR (BOOT-EQUAL |mc| |mc'|)
-                                      (|isSuperDomain| |mc'| |mc| |e|))
-                                  (EXIT (PROGN
-                                          (SPADLET |newmm| NIL)
-                                          (SPADLET |mm| |modemapList|)
-                                          (DO ()
-                                           ((NULL
-                                             (NULL (EQ |mm| |mmtail|)))
-                                            NIL)
-                                            (SEQ
-                                             (EXIT
-                                              (PROGN
-                                                (SPADLET |newmm|
-                                                 (CONS (CAR |mm|)
-                                                  |newmm|))
-                                                (SPADLET |mm|
-                                                 (CDR |mm|))))))
-                                          (COND
-                                            ((AND
-                                              (BOOT-EQUAL |mc| |mc'|)
-                                              (BOOT-EQUAL |sig| |sig'|))
-                                             (COND
-                                               ((AND (NULL |$forceAdd|)
-                                                 (|TruthP| |pred'|))
-                                                (SPADLET |entry| NIL)
-                                                (RETURN |modemapList|))
-                                               ((|TruthP| |pred|)
-                                                (SPADLET |mmtail|
-                                                 (CDR |mmtail|))))))
-                                          (SPADLET |modemapList|
-                                           (NCONC (NREVERSE |newmm|)
-                                            (CONS |entry| |mmtail|)))
-                                          (SPADLET |entry| NIL)
-                                          (RETURN |modemapList|))))))))
-                  (COND
-                    (|entry| (APPEND |modemapList| (CONS |entry| NIL)))
-                    ('T |modemapList|))))))))
-
-;-- next definition RPLACs, and hence causes problems.
-;-- In ptic., SubResGcd in SparseUnivariatePolynomial is miscompiled
-;--mergeModemap(entry:=((mc,:sig),:.),modemapList,e) ==
-;--    for (mmtail:= (((mc',:sig'),:.),:.)) in tails modemapList do
-;--       mc=mc' or isSuperDomain(mc',mc,e)  =>
-;--         RPLACD(mmtail,(first mmtail,: rest mmtail))
-;--         RPLACA(mmtail,entry)
-;--         entry := nil
-;--         return modemapList
-;--     if entry then (:modemapList,entry) else modemapList
-;
-;isSuperDomain(domainForm,domainForm',e) ==
-;  isSubset(domainForm',domainForm,e) => true
-;  domainForm='Rep and domainForm'="$" => true --regard $ as a subdomain of Rep
-;  LASSOC(opOf domainForm',get(domainForm,"SubDomain",e))
-
-(DEFUN |isSuperDomain| (|domainForm| |domainForm'| |e|)
-  (COND
-    ((|isSubset| |domainForm'| |domainForm| |e|) 'T)
-    ((AND (BOOT-EQUAL |domainForm| '|Rep|)
-          (BOOT-EQUAL |domainForm'| '$))
-     'T)
-    ('T
-     (LASSOC (|opOf| |domainForm'|)
-             (|get| |domainForm| '|SubDomain| |e|)))))
-
-;--substituteForRep(entry is [[mc,:sig],:.],curModemapList) ==
-;--  --change 'Rep to "$" unless the resulting signature is already in $
-;--  MEMBER(entry':= substitute("$",'Rep,entry),curModemapList) =>
-;--    [entry,:curModemapList]
-;--  [entry,entry',:curModemapList]
-;
-;addNewDomain(domain,e) ==
-;  augModemapsFromDomain(domain,domain,e)
-
-(DEFUN |addNewDomain| (|domain| |e|)
-  (|augModemapsFromDomain| |domain| |domain| |e|))
-
-;augModemapsFromDomain(name,functorForm,e) ==
-;  MEMBER(KAR name or name,$DummyFunctorNames) => e
-;  name=$Category or isCategoryForm(name,e) => e
-;  MEMBER(name,curDomainsInScope:= getDomainsInScope e) => e
-;  if u:= GETDATABASE(opOf functorForm,'SUPERDOMAIN) then
-;    e:= addNewDomain(first u,e)
-;    --need code to handle parameterized SuperDomains
-;  if innerDom:= listOrVectorElementMode name then e:= addDomain(innerDom,e)
-;  if name is ["Union",:dl] then for d in stripUnionTags dl
-;                         repeat e:= addDomain(d,e)
-;  augModemapsFromDomain1(name,functorForm,e)
-
-(DEFUN |augModemapsFromDomain| (|name| |functorForm| |e|)
-  (PROG (|curDomainsInScope| |u| |innerDom| |dl|)
-  (declare (special |$Category| |$DummyFunctorNames|))
-    (RETURN
-      (SEQ (COND
-             ((|member| (OR (KAR |name|) |name|) |$DummyFunctorNames|)
-              |e|)
-             ((OR (BOOT-EQUAL |name| |$Category|)
-                  (|isCategoryForm| |name| |e|))
-              |e|)
-             ((|member| |name|
-                  (SPADLET |curDomainsInScope|
-                           (|getDomainsInScope| |e|)))
-              |e|)
-             ('T
-              (COND
-                ((SPADLET |u|
-                          (GETDATABASE (|opOf| |functorForm|)
-                              'SUPERDOMAIN))
-                 (SPADLET |e| (|addNewDomain| (CAR |u|) |e|))))
-              (COND
-                ((SPADLET |innerDom|
-                          (|listOrVectorElementMode| |name|))
-                 (SPADLET |e| (|addDomain| |innerDom| |e|))))
-              (COND
-                ((AND (PAIRP |name|) (EQ (QCAR |name|) '|Union|)
-                      (PROGN (SPADLET |dl| (QCDR |name|)) 'T))
-                 (DO ((G166400 (|stripUnionTags| |dl|)
-                          (CDR G166400))
-                      (|d| NIL))
-                     ((OR (ATOM G166400)
-                          (PROGN (SETQ |d| (CAR G166400)) NIL))
-                      NIL)
-                   (SEQ (EXIT (SPADLET |e| (|addDomain| |d| |e|)))))))
-              (|augModemapsFromDomain1| |name| |functorForm| |e|)))))))
-
-;     --see LISPLIB BOOT
-;
-;substituteCategoryArguments(argl,catform) ==
-;  argl:= substitute("$$","$",argl)
-;  arglAssoc:= [[INTERNL("#",STRINGIMAGE i),:a] for i in 1.. for a in argl]
-;  SUBLIS(arglAssoc,catform)
-
-(DEFUN |substituteCategoryArguments| (|argl| |catform|)
-  (PROG (|arglAssoc|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |argl| (MSUBST '$$ '$ |argl|))
-             (SPADLET |arglAssoc|
-                      (PROG (G166422)
-                        (SPADLET G166422 NIL)
-                        (RETURN
-                          (DO ((|i| 1 (QSADD1 |i|))
-                               (G166428 |argl| (CDR G166428))
-                               (|a| NIL))
-                              ((OR (ATOM G166428)
-                                   (PROGN
-                                     (SETQ |a| (CAR G166428))
-                                     NIL))
-                               (NREVERSE0 G166422))
-                            (SEQ (EXIT (SETQ G166422
-                                        (CONS
-                                         (CONS
-                                          (INTERNL '|#|
-                                           (STRINGIMAGE |i|))
-                                          |a|)
-                                         G166422))))))))
-             (SUBLIS |arglAssoc| |catform|))))))
-
-;         --Called, by compDefineFunctor, to add modemaps for $ that may
-;         --be equivalent to those of Rep. We must check that these
-;         --operations are not being redefined.
-;augModemapsFromCategoryRep(domainName,repDefn,functorBody,categoryForm,e) ==
-;  [fnAlist,e]:= evalAndSub(domainName,domainName,domainName,categoryForm,e)
-;  [repFnAlist,e]:= evalAndSub('Rep,'Rep,repDefn,getmode(repDefn,e),e)
-;  catform:= (isCategory categoryForm => categoryForm.(0); categoryForm)
-;  compilerMessage ["Adding ",domainName," modemaps"]
-;  e:= putDomainsInScope(domainName,e)
-;  $base:= 4
-;  for [lhs:=[op,sig,:.],cond,fnsel] in fnAlist repeat
-;    u:=ASSOC(SUBST('Rep,domainName,lhs),repFnAlist)
-;    u and not AMFCR_,redefinedList(op,functorBody) =>
-;      fnsel':=CADDR u
-;      e:= addModemap(op,domainName,sig,cond,fnsel',e)
-;    e:= addModemap(op,domainName,sig,cond,fnsel,e)
-;  e
-
-(DEFUN |augModemapsFromCategoryRep|
-       (|domainName| |repDefn| |functorBody| |categoryForm| |e|)
-  (PROG (|fnAlist| |LETTMP#1| |repFnAlist| |catform| |lhs| |op| |sig|
-            |cond| |fnsel| |u| |fnsel'|)
-  (declare (special |$base|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |LETTMP#1|
-                      (|evalAndSub| |domainName| |domainName|
-                          |domainName| |categoryForm| |e|))
-             (SPADLET |fnAlist| (CAR |LETTMP#1|))
-             (SPADLET |e| (CADR |LETTMP#1|))
-             (SPADLET |LETTMP#1|
-                      (|evalAndSub| '|Rep| '|Rep| |repDefn|
-                          (|getmode| |repDefn| |e|) |e|))
-             (SPADLET |repFnAlist| (CAR |LETTMP#1|))
-             (SPADLET |e| (CADR |LETTMP#1|))
-             (SPADLET |catform|
-                      (COND
-                        ((|isCategory| |categoryForm|)
-                         (ELT |categoryForm| 0))
-                        ('T |categoryForm|)))
-             (|compilerMessage|
-                 (CONS '|Adding |
-                       (CONS |domainName| (CONS '| modemaps| NIL))))
-             (SPADLET |e| (|putDomainsInScope| |domainName| |e|))
-             (SPADLET |$base| 4)
-             (DO ((G166471 |fnAlist| (CDR G166471))
-                  (G166457 NIL))
-                 ((OR (ATOM G166471)
-                      (PROGN (SETQ G166457 (CAR G166471)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |lhs| (CAR G166457))
-                          (SPADLET |op| (CAAR G166457))
-                          (SPADLET |sig| (CADAR G166457))
-                          (SPADLET |cond| (CADR G166457))
-                          (SPADLET |fnsel| (CADDR G166457))
-                          G166457)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (SPADLET |u|
-                                     (|assoc|
-                                      (MSUBST '|Rep| |domainName|
-                                       |lhs|)
-                                      |repFnAlist|))
-                            (COND
-                              ((AND |u|
-                                    (NULL
-                                     (|AMFCR,redefinedList| |op|
-                                      |functorBody|)))
-                               (SPADLET |fnsel'| (CADDR |u|))
-                               (SPADLET |e|
-                                        (|addModemap| |op| |domainName|
-                                         |sig| |cond| |fnsel'| |e|)))
-                              ('T
-                               (SPADLET |e|
-                                        (|addModemap| |op| |domainName|
-                                         |sig| |cond| |fnsel| |e|))))))))
-             |e|)))))
-
-;AMFCR_,redefinedList(op,l) == "OR"/[AMFCR_,redefined(op,u) for u in l]
-
-(DEFUN |AMFCR,redefinedList| (|op| |l|)
-  (PROG ()
-    (RETURN
-      (SEQ (PROG (G166499)
-             (SPADLET G166499 NIL)
-             (RETURN
-               (DO ((G166505 NIL G166499)
-                    (G166506 |l| (CDR G166506)) (|u| NIL))
-                   ((OR G166505 (ATOM G166506)
-                        (PROGN (SETQ |u| (CAR G166506)) NIL))
-                    G166499)
-                 (SEQ (EXIT (SETQ G166499
-                                  (OR G166499
-                                      (|AMFCR,redefined| |op| |u|))))))))))))
-
-;AMFCR_,redefined(opname,u) ==
-;  not(u is [op,:l]) => nil
-;  op = 'DEF => opname = CAAR l
-;  MEMQ(op,'(PROGN SEQ)) => AMFCR_,redefinedList(opname,l)
-;  op = 'COND => "OR"/[AMFCR_,redefinedList(opname,CDR u) for u in l]
-
-(DEFUN |AMFCR,redefined| (|opname| |u|)
-  (PROG (|op| |l|)
-    (RETURN
-      (SEQ (COND
-             ((NULL (AND (PAIRP |u|)
-                         (PROGN
-                           (SPADLET |op| (QCAR |u|))
-                           (SPADLET |l| (QCDR |u|))
-                           'T)))
-              NIL)
-             ((BOOT-EQUAL |op| 'DEF) (BOOT-EQUAL |opname| (CAAR |l|)))
-             ((member |op| '(PROGN SEQ))
-              (|AMFCR,redefinedList| |opname| |l|))
-             ((BOOT-EQUAL |op| 'COND)
-              (PROG (G166521)
-                (SPADLET G166521 NIL)
-                (RETURN
-                  (DO ((G166527 NIL G166521)
-                       (G166528 |l| (CDR G166528)) (|u| NIL))
-                      ((OR G166527 (ATOM G166528)
-                           (PROGN (SETQ |u| (CAR G166528)) NIL))
-                       G166521)
-                    (SEQ (EXIT (SETQ G166521
-                                     (OR G166521
-                                      (|AMFCR,redefinedList| |opname|
-                                       (CDR |u|)))))))))))))))
-
-;augModemapsFromCategory(domainName,domainView,functorForm,categoryForm,e) ==
-;  [fnAlist,e]:= evalAndSub(domainName,domainView,functorForm,categoryForm,e)
-;  --  catform:= (isCategory categoryForm => categoryForm.(0); categoryForm)
-;  -- catform appears not to be used, so why set it?
-;  --if ^$InteractiveMode then
-;  compilerMessage ["Adding ",domainName," modemaps"]
-;  e:= putDomainsInScope(domainName,e)
-;  $base:= 4
-;  condlist:=[]
-;  for [[op,sig,:.],cond,fnsel] in fnAlist repeat
-;--  e:= addModemap(op,domainName,sig,cond,fnsel,e)
-;---------next 5 lines commented out to avoid wasting time checking knownInfo on
-;---------conditions attached to each modemap being added, takes a very long time
-;---------instead conditions will be checked when maps are actually used
-;  --v:=ASSOC(cond,condlist) =>
-;  --  e:= addModemapKnown(op,domainName,sig,CDR v,fnsel,e)
-;  --$e:local := e  -- $e is used by knownInfo
-;  --if knownInfo cond then cond1:=true else cond1:=cond
-;  --condlist:=[[cond,:cond1],:condlist]
-;    e:= addModemapKnown(op,domainName,sig,cond,fnsel,e) -- cond was cond1
-;--  for u in sig | (not MEMBER(u,$DomainsInScope)) and
-;--                   (not atom u) and
-;--                     (not isCategoryForm(u,e)) do
-;--     e:= addNewDomain(u,e)
-;  e
-
-(DEFUN |augModemapsFromCategory|
-       (|domainName| |domainView| |functorForm| |categoryForm| |e|)
-  (PROG (|LETTMP#1| |fnAlist| |condlist| |op| |sig| |cond| |fnsel|)
-  (declare (special |$base|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |LETTMP#1|
-                      (|evalAndSub| |domainName| |domainView|
-                          |functorForm| |categoryForm| |e|))
-             (SPADLET |fnAlist| (CAR |LETTMP#1|))
-             (SPADLET |e| (CADR |LETTMP#1|))
-             (|compilerMessage|
-                 (CONS '|Adding |
-                       (CONS |domainName| (CONS '| modemaps| NIL))))
-             (SPADLET |e| (|putDomainsInScope| |domainName| |e|))
-             (SPADLET |$base| 4)
-             (SPADLET |condlist| NIL)
-             (DO ((G166559 |fnAlist| (CDR G166559))
-                  (G166548 NIL))
-                 ((OR (ATOM G166559)
-                      (PROGN (SETQ G166548 (CAR G166559)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAAR G166548))
-                          (SPADLET |sig| (CADAR G166548))
-                          (SPADLET |cond| (CADR G166548))
-                          (SPADLET |fnsel| (CADDR G166548))
-                          G166548)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (SPADLET |e|
-                                   (|addModemapKnown| |op| |domainName|
-                                    |sig| |cond| |fnsel| |e|)))))
-             |e|)))))
-
-;--subCatParametersInto(domainForm,catForm,e) ==
-;--  -- JHD 08/08/84 perhaps we are fortunate that it is not used
-;--  --this is particularly dirty and should be cleaned up, say, by wrapping
-;--  -- an appropriate lambda expression around mapping forms
-;--  domainForm is [op,:l] and l =>
-;--    get(op,'modemap,e) is [[[mc,:.],:.]] => SUBLIS(PAIR(rest mc,l),catForm)
-;--  catForm
-;
-;evalAndSub(domainName,viewName,functorForm,form,$e) ==
-;  $lhsOfColon: local:= domainName
-;  isCategory form => [substNames(domainName,viewName,functorForm,form.(1)),$e]
-;  --next lines necessary-- see MPOLY for which $ is actual arg. --- RDJ 3/83
-;  if CONTAINED("$$",form) then $e:= put("$$","mode",get("$","mode",$e),$e)
-;  opAlist:= getOperationAlist(domainName,functorForm,form)
-;  substAlist:= substNames(domainName,viewName,functorForm,opAlist)
-;  [substAlist,$e]
-
-(DEFUN |evalAndSub| (|domainName| |viewName| |functorForm| |form| |$e|)
-  (DECLARE (SPECIAL |$e|))
-  (PROG (|$lhsOfColon| |opAlist| |substAlist|)
-    (DECLARE (SPECIAL |$lhsOfColon|))
-    (RETURN
-      (PROGN
-        (SPADLET |$lhsOfColon| |domainName|)
-        (COND
-          ((|isCategory| |form|)
-           (CONS (|substNames| |domainName| |viewName| |functorForm|
-                     (ELT |form| 1))
-                 (CONS |$e| NIL)))
-          ('T
-           (COND
-             ((CONTAINED '$$ |form|)
-              (SPADLET |$e|
-                       (|put| '$$ '|mode| (|get| '$ '|mode| |$e|) |$e|))))
-           (SPADLET |opAlist|
-                    (|getOperationAlist| |domainName| |functorForm|
-                        |form|))
-           (SPADLET |substAlist|
-                    (|substNames| |domainName| |viewName| |functorForm|
-                        |opAlist|))
-           (CONS |substAlist| (CONS |$e| NIL))))))))
-
-;getOperationAlist(name,functorForm,form) ==
-;  if atom name and GETDATABASE(name,'NILADIC) then functorForm:= [functorForm]
-;-- (null isConstructorForm functorForm) and (u:= isFunctor functorForm)
-;  (u:= isFunctor functorForm) and not
-;    ($insideFunctorIfTrue and first functorForm=first $functorForm) => u
-;  $insideFunctorIfTrue and name="$" =>
-;    ($domainShell => $domainShell.(1); systemError '"$ has no shell now")
-;  T:= compMakeCategoryObject(form,$e) => ([.,.,$e]:= T; T.expr.(1))
-;  stackMessage ["not a category form: ",form]
-
-(DEFUN |getOperationAlist| (|name| |functorForm| |form|)
-  (PROG (|u| T$)
-  (declare (special |$e| |$domainShell| |$insideFunctorIfTrue|
-                    |$functorForm|))
-    (RETURN
-      (PROGN
-        (COND
-          ((AND (ATOM |name|) (GETDATABASE |name| 'NILADIC))
-           (SPADLET |functorForm| (CONS |functorForm| NIL))))
-        (COND
-          ((AND (SPADLET |u| (|isFunctor| |functorForm|))
-                (NULL (AND |$insideFunctorIfTrue|
-                           (BOOT-EQUAL (CAR |functorForm|)
-                               (CAR |$functorForm|)))))
-           |u|)
-          ((AND |$insideFunctorIfTrue| (BOOT-EQUAL |name| '$))
-           (COND
-             (|$domainShell| (ELT |$domainShell| 1))
-             ('T (|systemError| "$ has no shell now"))))
-          ((SPADLET T$ (|compMakeCategoryObject| |form| |$e|))
-           (SPADLET |$e| (CADDR T$)) (ELT (CAR T$) 1))
-          ('T
-           (|stackMessage|
-               (CONS '|not a category form: | (CONS |form| NIL)))))))))
-
-;substNames(domainName,viewName,functorForm,opalist) ==
-;  functorForm := SUBSTQ("$$","$", functorForm)
-;  nameForDollar :=
-;    isCategoryPackageName functorForm => CADR functorForm
-;    domainName
-;       -- following calls to SUBSTQ must copy to save RPLAC's in
-;       -- putInLocalDomainReferences
-;  [[:SUBSTQ("$","$$",SUBSTQ(nameForDollar,"$",modemapform)),
-;       [sel, viewName,if domainName = "$" then pos else
-;                                         CADAR modemapform]]
-;     for [:modemapform,[sel,"$",pos]] in
-;          EQSUBSTLIST(KDR functorForm,$FormalMapVariableList, opalist)]
-
-(DEFUN |substNames| (|domainName| |viewName| |functorForm| |opalist|)
-  (PROG (|nameForDollar| |LETTMP#1| |sel| |pos| |modemapform|)
-  (declare (special |$FormalMapVariableList|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |functorForm| (SUBSTQ '$$ '$ |functorForm|))
-             (SPADLET |nameForDollar|
-                      (COND
-                        ((|isCategoryPackageName| |functorForm|)
-                         (CADR |functorForm|))
-                        ('T |domainName|)))
-             (PROG (G166616)
-               (SPADLET G166616 NIL)
-               (RETURN
-                 (DO ((G166622
-                          (EQSUBSTLIST (KDR |functorForm|)
-                              |$FormalMapVariableList| |opalist|)
-                          (CDR G166622))
-                      (G166604 NIL))
-                     ((OR (ATOM G166622)
-                          (PROGN (SETQ G166604 (CAR G166622)) NIL)
-                          (PROGN
-                            (PROGN
-                              (SPADLET |LETTMP#1| (REVERSE G166604))
-                              (SPADLET |sel| (CAAR |LETTMP#1|))
-                              (SPADLET |pos| (CADDAR |LETTMP#1|))
-                              (SPADLET |modemapform|
-                                       (NREVERSE (CDR |LETTMP#1|)))
-                              G166604)
-                            NIL))
-                      (NREVERSE0 G166616))
-                   (SEQ (EXIT (SETQ G166616
-                                    (CONS
-                                     (APPEND
-                                      (SUBSTQ '$ '$$
-                                       (SUBSTQ |nameForDollar| '$
-                                        |modemapform|))
-                                      (CONS
-                                       (CONS |sel|
-                                        (CONS |viewName|
-                                         (CONS
-                                          (COND
-                                            ((BOOT-EQUAL |domainName|
-                                              '$)
-                                             |pos|)
-                                            ('T (CADAR |modemapform|)))
-                                          NIL)))
-                                       NIL))
-                                     G166616))))))))))))
-
-;addConstructorModemaps(name,form is [functorName,:.],e) ==
-;  $InteractiveMode: local:= nil
-;  e:= putDomainsInScope(name,e) --frame
-;  fn := GET(functorName,"makeFunctionList")
-;  [funList,e]:= FUNCALL(fn,name,form,e)
-;  for [op,sig,opcode] in funList repeat
-;    if opcode is [sel,dc,n] and sel='ELT then
-;          nsig := substitute("$$$",name,sig)
-;          nsig := substitute('$,"$$$",substitute("$$",'$,nsig))
-;          opcode := [sel,dc,nsig]
-;    e:= addModemap(op,name,sig,true,opcode,e)
-;  e
-
-(DEFUN |addConstructorModemaps| (|name| |form| |e|)
-  (PROG (|$InteractiveMode| |functorName| |fn| |LETTMP#1| |funList|
-            |op| |sig| |sel| |ISTMP#1| |dc| |ISTMP#2| |n| |nsig|
-            |opcode|)
-    (DECLARE (SPECIAL |$InteractiveMode|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |functorName| (CAR |form|))
-             (SPADLET |$InteractiveMode| NIL)
-             (SPADLET |e| (|putDomainsInScope| |name| |e|))
-             (SPADLET |fn| (GETL |functorName| '|makeFunctionList|))
-             (SPADLET |LETTMP#1| (FUNCALL |fn| |name| |form| |e|))
-             (SPADLET |funList| (CAR |LETTMP#1|))
-             (SPADLET |e| (CADR |LETTMP#1|))
-             (DO ((G166774 |funList| (CDR G166774))
-                  (G166732 NIL))
-                 ((OR (ATOM G166774)
-                      (PROGN (SETQ G166732 (CAR G166774)) NIL)
-                      (PROGN
-                        (PROGN
-                          (SPADLET |op| (CAR G166732))
-                          (SPADLET |sig| (CADR G166732))
-                          (SPADLET |opcode| (CADDR G166732))
-                          G166732)
-                        NIL))
-                  NIL)
-               (SEQ (EXIT (PROGN
-                            (COND
-                              ((AND (PAIRP |opcode|)
-                                    (PROGN
-                                      (SPADLET |sel| (QCAR |opcode|))
-                                      (SPADLET |ISTMP#1|
-                                       (QCDR |opcode|))
-                                      (AND (PAIRP |ISTMP#1|)
-                                       (PROGN
-                                         (SPADLET |dc|
-                                          (QCAR |ISTMP#1|))
-                                         (SPADLET |ISTMP#2|
-                                          (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
-                                          (EQ (QCDR |ISTMP#2|) NIL)
-                                          (PROGN
-                                            (SPADLET |n|
-                                             (QCAR |ISTMP#2|))
-                                            'T)))))
-                                    (BOOT-EQUAL |sel| 'ELT))
-                               (SPADLET |nsig|
-                                        (MSUBST '$$$ |name| |sig|))
-                               (SPADLET |nsig|
-                                        (MSUBST '$ '$$$
-                                         (MSUBST '$$ '$ |nsig|)))
-                               (SPADLET |opcode|
-                                        (CONS |sel|
-                                         (CONS |dc| (CONS |nsig| NIL))))))
-                            (SPADLET |e|
-                                     (|addModemap| |op| |name| |sig| 'T
-                                      |opcode| |e|))))))
-             |e|)))))
-
-;--The way XLAMs work:
-;--  ((XLAM ($1 $2 $3) (SETELT $1 0 $3)) X "c" V) ==> (SETELT X 0 V)
-;
-;getDomainsInScope e ==
-;  $insideCapsuleFunctionIfTrue=true => $CapsuleDomainsInScope
-;  get("$DomainsInScope","special",e)
-
-(DEFUN |getDomainsInScope| (|e|)
-  (declare (special |$CapsuleDomainsInScope| |$insideCapsuleFunctionIfTrue|))
-  (COND
-    ((BOOT-EQUAL |$insideCapsuleFunctionIfTrue| 'T)
-     |$CapsuleDomainsInScope|)
-    ('T (|get| '|$DomainsInScope| 'special |e|))))
-
-;putDomainsInScope(x,e) ==
-;  l:= getDomainsInScope e
-;  if MEMBER(x,l) then SAY("****** Domain: ",x," already in scope")
-;  newValue:= [x,:DELETE(x,l)]
-;  $insideCapsuleFunctionIfTrue => ($CapsuleDomainsInScope:= newValue; e)
-;  put("$DomainsInScope","special",newValue,e)
-;
-
-(DEFUN |putDomainsInScope| (|x| |e|)
-  (PROG (|l| |newValue|)
-  (declare (special |$CapsuleDomainsInScope| |$insideCapsuleFunctionIfTrue|))
-    (RETURN
-      (PROGN
-        (SPADLET |l| (|getDomainsInScope| |e|))
-        (COND
-          ((|member| |x| |l|)
-           (SAY "****** Domain: " |x|
-                " already in scope")))
-        (SPADLET |newValue| (CONS |x| (|delete| |x| |l|)))
-        (COND
-          (|$insideCapsuleFunctionIfTrue|
-              (SPADLET |$CapsuleDomainsInScope| |newValue|) |e|)
-          ('T (|put| '|$DomainsInScope| 'special |newValue| |e|)))))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/msgdb.lisp.pamphlet axiom-20111101/src/interp/msgdb.lisp.pamphlet
--- axiom-20110301a/src/interp/msgdb.lisp.pamphlet	2011-03-29 05:45:38.000000000 +0000
+++ axiom-20111101/src/interp/msgdb.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -29,12 +29,12 @@
                  (DO ()
                      ((NULL (PROGN
                               (SPADLET |ISTMP#1| (|wordFrom| |l| |i|))
-                              (AND (PAIRP |ISTMP#1|)
+                              (AND (CONSP |ISTMP#1|)
                                    (PROGN
                                      (SPADLET |w| (QCAR |ISTMP#1|))
                                      (SPADLET |ISTMP#2|
                                       (QCDR |ISTMP#1|))
-                                     (AND (PAIRP |ISTMP#2|)
+                                     (AND (CONSP |ISTMP#2|)
                                       (EQ (QCDR |ISTMP#2|) NIL)
                                       (PROGN
                                         (SPADLET |i| (QCAR |ISTMP#2|))
@@ -204,7 +204,7 @@
 ;  nargs := #args
 ;  for x in segmentedMsgPreprocess msg repeat
 ;    -- x is a list
-;    PAIRP x =>
+;    CONSP x =>
 ;      l := cons(substituteSegmentedMsg(x,args),l)
 ;    c := x.0
 ;    n := STRINGLENGTH x
@@ -226,7 +226,7 @@
 ;      -- Note 'f processing must come first.
 ;      if MEMQ(char 'f,q) then
 ;          arg :=
-;              PAIRP arg => APPLY(first arg, rest arg)
+;              CONSP arg => APPLY(first arg, rest arg)
 ;              arg
 ;      if MEMQ(char 'm,q) then arg := [['"%m",:arg]]
 ;      if MEMQ(char 's,q) then arg := [['"%s",:arg]]
@@ -246,7 +246,7 @@
 ;      --stifled after the first item in the list until the
 ;      --end of the list. (using %n and %y)
 ;      l :=
-;         PAIRP(arg) =>
+;         CONSP(arg) =>
 ;           MEMQ(char 'y,q) or (CAR arg = '"%y") or ((LENGTH arg) = 1)  =>
 ;             APPEND(REVERSE arg, l)
 ;           head := first arg
@@ -274,7 +274,7 @@
                       (PROGN (SETQ |x| (CAR G166215)) NIL))
                   NIL)
                (SEQ (EXIT (COND
-                            ((PAIRP |x|)
+                            ((CONSP |x|)
                              (SPADLET |l|
                                       (CONS
                                        (|substituteSegmentedMsg| |x|
@@ -320,7 +320,7 @@
                                   ((member (|char| '|f|) |q|)
                                    (SPADLET |arg|
                                     (COND
-                                      ((PAIRP |arg|)
+                                      ((CONSP |arg|)
                                        (APPLY (CAR |arg|) (CDR |arg|)))
                                       ('T |arg|)))))
                                 (COND
@@ -417,7 +417,7 @@
                                     (CONS "%b" |l|))))
                                 (SPADLET |l|
                                          (COND
-                                           ((PAIRP |arg|)
+                                           ((CONSP |arg|)
                                             (COND
                                               ((OR
                                                 (member (|char| '|y|)
@@ -462,7 +462,7 @@
 
 ;addBlanks msg ==
 ;  -- adds proper blanks
-;  null PAIRP msg => msg
+;  null CONSP msg => msg
 ;  null msg => msg
 ;  LENGTH msg = 1 => msg
 ;  blanksOff := false
@@ -487,7 +487,7 @@
   (PROG (|blank| |blanksOff| |msg1| |x|)
     (RETURN
       (SEQ (COND
-             ((NULL (PAIRP |msg|)) |msg|)
+             ((NULL (CONSP |msg|)) |msg|)
              ((NULL |msg|) |msg|)
              ((EQL (LENGTH |msg|) 1) |msg|)
              ('T (SPADLET |blanksOff| NIL) (SPADLET |x| (CAR |msg|))
@@ -529,7 +529,7 @@
 ;    if CVECP word and SIZE word > 1 then
 ;       word.0 = char '% and word.1 = char 'x => return true
 ;       word.0 = char " " => return true
-;    (PAIRP word) and (CAR word in $msgdbListPrims) => true
+;    (CONSP word) and (CAR word in $msgdbListPrims) => true
 ;    false
 
 (DEFUN |noBlankBeforeP| (|word|)
@@ -548,7 +548,7 @@
                (RETURN 'T))
               ((BOOT-EQUAL (ELT |word| 0) (|char| '| |)) (RETURN 'T)))))
          (COND
-           ((AND (PAIRP |word|)
+           ((AND (CONSP |word|)
                  (|member| (CAR |word|) |$msgdbListPrims|))
             'T)
            ('T NIL)))))))
@@ -559,7 +559,7 @@
 ;    if CVECP word and (s := SIZE word) > 1 then
 ;       word.0 = char '% and word.1 = char 'x => return true
 ;       word.(s-1) = char " " => return true
-;    (PAIRP word) and (CAR word in $msgdbListPrims) => true
+;    (CONSP word) and (CAR word in $msgdbListPrims) => true
 ;    false
 
 (DEFUN |noBlankAfterP| (|word|)
@@ -580,7 +580,7 @@
                    (|char| '| |))
                (RETURN 'T)))))
          (COND
-           ((AND (PAIRP |word|)
+           ((AND (CONSP |word|)
                  (|member| (CAR |word|) |$msgdbListPrims|))
             'T)
            ('T NIL)))))))
@@ -588,7 +588,7 @@
 ;cleanUpSegmentedMsg msg ==
 ;  -- removes any junk like double blanks
 ;  -- takes a reversed msg and puts it in the correct order
-;  null PAIRP msg => msg
+;  null CONSP msg => msg
 ;  blanks := ['" "," "]
 ;  haveBlank := NIL
 ;  prims :=
@@ -606,7 +606,7 @@
   (PROG (|blanks| |prims| |msg1| |haveBlank|)
     (RETURN
       (SEQ (COND
-             ((NULL (PAIRP |msg|)) |msg|)
+             ((NULL (CONSP |msg|)) |msg|)
              ('T
               (SPADLET |blanks|
                        (CONS " " (CONS '| | NIL)))
@@ -1050,7 +1050,7 @@
 ;  off := (offset <= 0 => '""; fillerSpaces(offset,'" "))
 ;  off1:= (offset <= 1 => '""; fillerSpaces(offset-1,'" "))
 ;  firstLine := true
-;  PAIRP msg =>
+;  CONSP msg =>
 ;    lnl := offset
 ;    if msg is [a,:.] and a in '(%b %d _  "%b" "%d" " ") then
 ;      nl :=  [off1]
@@ -1061,14 +1061,14 @@
 ;        actualMarg := potentialMarg
 ;        if lnl = 99999 then nl := ['%l,:nl]
 ;        lnl := 99999
-;      PAIRP(f) and CAR(f) in '("%m" %m '%ce "%ce" %rj "%rj") =>
+;      CONSP(f) and CAR(f) in '("%m" %m '%ce "%ce" %rj "%rj") =>
 ;        actualMarg := potentialMarg
 ;        nl := [f,'%l,:nl]
 ;        lnl := 199999
 ;      f in '("%i" %i ) =>
 ;        potentialMarg := potentialMarg + 3
 ;        nl := [f,:nl]
-;      PAIRP(f) and CAR(f) in '("%t" %t) =>
+;      CONSP(f) and CAR(f) in '("%t" %t) =>
 ;        potentialMarg := potentialMarg + CDR f
 ;        nl := [f,:nl]
 ;      sbl := sayBrightlyLength f
@@ -1097,18 +1097,18 @@
   (declare (special |$texFormatting|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |msg|) (EQ (QCDR |msg|) NIL)
+             ((AND (CONSP |msg|) (EQ (QCDR |msg|) NIL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |msg|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |ce| (QCAR |ISTMP#1|)) 'T)))
                    (|member| |ce| '(|%ce| "%ce" |%rj| "%rj")))
               |msg|)
              (|$texFormatting| |msg|)
-             ((AND (PAIRP |msg|) (EQ (QCDR |msg|) NIL)
+             ((AND (CONSP |msg|) (EQ (QCDR |msg|) NIL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |msg|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |ce| (QCAR |ISTMP#1|)) 'T)))
                    (member |ce| '(|%ce| "%ce") :test #'equal))
               |msg|)
@@ -1126,9 +1126,9 @@
                               " "))))
               (SPADLET |firstLine| 'T)
               (COND
-                ((PAIRP |msg|) (SPADLET |lnl| |offset|)
+                ((CONSP |msg|) (SPADLET |lnl| |offset|)
                  (COND
-                   ((AND (PAIRP |msg|)
+                   ((AND (CONSP |msg|)
                          (PROGN (SPADLET |a| (QCAR |msg|)) 'T)
                          (|member| |a| '(|%b| |%d| | | "%b" "%d" " ")))
                     (SPADLET |nl| (CONS |off1| NIL))
@@ -1145,7 +1145,7 @@
                                    ((EQL |lnl| 99999)
                                     (SPADLET |nl| (CONS '|%l| |nl|))))
                                  (SPADLET |lnl| 99999))
-                                ((AND (PAIRP |f|)
+                                ((AND (CONSP |f|)
                                       (|member| (CAR |f|)
                                        '("%m" |%m| '|%ce| "%ce" |%rj|
                                          "%rj")))
@@ -1157,7 +1157,7 @@
                                  (SPADLET |potentialMarg|
                                           (PLUS |potentialMarg| 3))
                                  (SPADLET |nl| (CONS |f| |nl|)))
-                                ((AND (PAIRP |f|)
+                                ((AND (CONSP |f|)
                                       (|member| (CAR |f|) '("%t" |%t|)))
                                  (SPADLET |potentialMarg|
                                           (PLUS |potentialMarg|
@@ -1285,20 +1285,20 @@
              (CONS |t1| (CONS |t2| (CONS |val'| NIL)))))))))
 
 ;--% Some Standard Message Printing Functions
-;bright x == ['"%b",:(PAIRP(x) and NULL CDR LASTNODE x => x; [x]),'"%d"]
+;bright x == ['"%b",:(CONSP(x) and NULL CDR LASTNODE x => x; [x]),'"%d"]
 
 (defun |bright| (|x|)
- (if (pairp |x|) `(" " ,@|x| " ")  `(" " ,|x| " ")))
+ (if (consp |x|) `(" " ,@|x| " ")  `(" " ,|x| " ")))
 
 ;--bright x == ['%b,:(ATOM x => [x]; x),'%d]
 ;mkMessage msg ==
-;  msg and (PAIRP msg) and ((first msg) in '(%l "%l"))  and
+;  msg and (CONSP msg) and ((first msg) in '(%l "%l"))  and
 ;    ((last msg) in '(%l "%l")) => concat msg
 ;  concat('%l,msg,'%l)
 
 (DEFUN |mkMessage| (|msg|)
   (COND
-    ((AND |msg| (PAIRP |msg|) (|member| (CAR |msg|) '(|%l| "%l"))
+    ((AND |msg| (CONSP |msg|) (|member| (CAR |msg|) '(|%l| "%l"))
           (|member| (|last| |msg|) '(|%l| "%l")))
      (|concat| |msg|))
     ('T (|concat| '|%l| |msg| '|%l|))))
@@ -1323,7 +1323,7 @@
       (PROGN
         (TERPRI)
         (COND
-          ((AND (PAIRP |margin|) (EQ (QCDR |margin|) NIL)
+          ((AND (CONSP |margin|) (EQ (QCDR |margin|) NIL)
                 (PROGN (SPADLET |n| (QCAR |margin|)) 'T))
            (BLANKS |n|)))
         NIL))))
@@ -2084,7 +2084,7 @@
   (PROG (|x| |l'|)
     (RETURN
       (COND
-        ((AND (PAIRP |l|)
+        ((AND (CONSP |l|)
               (PROGN
                 (SPADLET |x| (QCAR |l|))
                 (SPADLET |l'| (QCDR |l|))
@@ -2110,11 +2110,11 @@
         ((AND (> (|sayWidth| |x|) $LINELENGTH)
               (PROGN
                 (SPADLET |ISTMP#1| (|splitListOn| |x| '|if|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |front| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN
                               (SPADLET |back| (QCAR |ISTMP#2|))
                               'T))))))
@@ -2179,7 +2179,7 @@
   (COND ((NULL |x|) 0) ('T (|sayDisplayWidth| |x|))))
 
 ;sayDisplayWidth x ==
-;  PAIRP x =>
+;  CONSP x =>
 ;    +/[fn y for y in x] where fn y ==
 ;      y in '(%b %d "%b" "%d") or y=$quadSymbol => 1
 ;      k := blankIndicator y => k
@@ -2202,7 +2202,7 @@
   (PROG ()
     (RETURN
       (SEQ (COND
-             ((PAIRP |x|)
+             ((CONSP |x|)
               (PROG (G167123)
                 (SPADLET G167123 0)
                 (RETURN
@@ -2461,7 +2461,7 @@
                   ((NULL (PROGN
                            (SPADLET |ISTMP#1|
                                     (|splitListSayBrightly| |u|))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (PROGN
                                   (SPADLET |head| (QCAR |ISTMP#1|))
                                   (SPADLET |u| (QCDR |ISTMP#1|))
diff -Nru axiom-20110301a/src/interp/nci.lisp.pamphlet axiom-20111101/src/interp/nci.lisp.pamphlet
--- axiom-20110301a/src/interp/nci.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nci.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,47 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp nci.lisp}
-\author{Timothy Daly}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(in-package "BOOT")
-
-;; Interpreter interface to new compiler
-
-
-(defun |ncParseFromString| (s)
-  (|zeroOneTran| (|packageTran|
-    (catch 'SPAD_READER (|parseFromString| s)))))
-
-(defun |ncGetFunction| (op dom sig)
-  (|applyInPackage| #'|getNCfunction|
-   (list (|rePackageTran| op "boot")
-         (|rePackageTran| dom "boot")
-         (|rePackageTran| sig "boot"))
-   "boot"))
-
-(defun |rePackageTran| (sex package)
- (let (*package*)
-  (declare (special *package*))
-  (setq *package* (find-package (string package)))
-  (|packageTran| sex)))
-
-(defun |applyInPackage| (fun args package)
-  (let ((*package* (find-package (string package))))
-    (declare (special *package*))
-    (apply fun args)))
-
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/newfort.lisp.pamphlet axiom-20111101/src/interp/newfort.lisp.pamphlet
--- axiom-20110301a/src/interp/newfort.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/newfort.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -243,26 +243,26 @@
       (SEQ (COND
              ((NULL |e|) NIL)
              ((ATOM |e|) (CONS (|object2String| |e|) NIL))
-             ((OR (AND (PAIRP |e|) (EQ (QCAR |e|) '=)
+             ((OR (AND (CONSP |e|) (EQ (QCAR |e|) '=)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |e|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |lhs| (QCAR |ISTMP#1|))
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)
                                      (PROGN
                                        (SPADLET |rhs| (QCAR |ISTMP#2|))
                                        'T))))))
-                  (AND (PAIRP |e|) (EQUAL (QCAR |e|) '"=")
+                  (AND (CONSP |e|) (EQUAL (QCAR |e|) '"=")
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |e|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |lhs| (QCAR |ISTMP#1|))
                                 (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                (AND (PAIRP |ISTMP#2|)
+                                (AND (CONSP |ISTMP#2|)
                                      (EQ (QCDR |ISTMP#2|) NIL)
                                      (PROGN
                                        (SPADLET |rhs| (QCAR |ISTMP#2|))
@@ -379,11 +379,11 @@
                       (SEQ (EXIT (COND
                                    ((AND
                                      (BOOT-EQUAL |op| "+")
-                                     (PAIRP |arg|)
+                                     (CONSP |arg|)
                                      (PROGN
                                        (SPADLET |m| (QCAR |arg|))
                                        (SPADLET |ISTMP#1| (QCDR |arg|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (EQ (QCDR |ISTMP#1|) NIL)
                                         (PROGN
                                           (SPADLET |a|
@@ -527,7 +527,7 @@
 ;      fun = 'CAR =>
 ;        RPLACA(loc,var)
 ;      fun = 'CDR =>
-;        if PAIRP QCDR loc
+;        if CONSP QCDR loc
 ;          then RPLACD(loc,[var])
 ;          else RPLACD(loc,var)
 ;      SAY '"whoops"
@@ -557,7 +557,7 @@
                    ((BOOT-EQUAL |fun| 'CAR) (RPLACA |loc| |var|))
                    ((BOOT-EQUAL |fun| 'CDR)
                     (COND
-                      ((PAIRP (QCDR |loc|))
+                      ((CONSP (QCDR |loc|))
                        (RPLACD |loc| (CONS |var| NIL)))
                       ('T (RPLACD |loc| |var|))))
                    ('T (SAY "whoops")))))
@@ -615,11 +615,11 @@
       (SEQ (COND
              ((OR (ATOM |e|) (AND (ATOM (CAR |e|)) (NULL (CDR |e|))))
               |e|)
-             ((AND (PAIRP |e|)
+             ((AND (CONSP |e|)
                    (PROGN
                      (SPADLET |op| (QCAR |e|))
                      (SPADLET |ISTMP#1| (QCDR |e|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |arg| (QCAR |ISTMP#1|)) 'T)))
                    (BOOT-EQUAL (|object2Identifier| |op|) '-)
                    (ATOM |arg|))
@@ -690,10 +690,10 @@
               (SEQ (COND
                      ((|member| |op1| '(BRACE BRACKET))
                       (COND
-                        ((AND (PAIRP |args|) (EQ (QCDR |args|) NIL)
+                        ((AND (CONSP |args|) (EQ (QCDR |args|) NIL)
                               (PROGN
                                 (SPADLET |ISTMP#1| (QCAR |args|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (EQ (QCAR |ISTMP#1|) 'AGGLST)
                                      (PROGN
                                        (SPADLET |elts|
@@ -969,7 +969,7 @@
       (PROGN
         (COND
           ((OR (ATOM |x|)
-               (AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) 'T)
+               (AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) 'T)
                     (NULL (|member| (|object2Identifier| |op|)
                               '(= MATRIX |construct|)))))
            (SPADLET |var|
@@ -1222,15 +1222,15 @@
               (|mkFortFn| (CAR |args|) (CDR |args|) (|#| (CDR |args|))))
              ((|member| |op| (CONS 'BRACE (CONS 'BRACKET NIL)))
               (COND
-                ((AND (PAIRP |args|)
+                ((AND (CONSP |args|)
                       (PROGN
                         (SPADLET |var| (QCAR |args|))
                         (SPADLET |ISTMP#1| (QCDR |args|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCAR |ISTMP#2|) 'AGGLST)
                                     (PROGN
                                       (SPADLET |elts| (QCDR |ISTMP#2|))
@@ -1243,7 +1243,7 @@
                         ((AND (LISTP (CAR |elts|)) (EQL (|#| |elts|) 1)
                               (PROGN
                                 (SPADLET |ISTMP#1| (CAR |elts|))
-                                (AND (PAIRP |ISTMP#1|)
+                                (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |sOp| (QCAR |ISTMP#1|))
                                        (SPADLET |sArgs|
@@ -1311,11 +1311,11 @@
              ((|member| |op|
                   (CONS "MATRIX" (CONS 'MATRIX NIL)))
               (COND
-                ((AND (PAIRP |args|)
+                ((AND (CONSP |args|)
                       (PROGN
                         (SPADLET |var| (QCAR |args|))
                         (SPADLET |ISTMP#1| (QCDR |args|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQUAL (QCAR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |rows| (QCDR |ISTMP#1|))
@@ -2473,16 +2473,16 @@
                          ((AND (|member| |op|
                                    (CONS '+
                                     (CONS "+" NIL)))
-                               (PAIRP |arg2|)
+                               (CONSP |arg2|)
                                (PROGN
                                  (SPADLET |mop| (QCAR |arg2|))
                                  (SPADLET |ISTMP#1| (QCDR |arg2|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (PROGN
                                         (SPADLET |m1| (QCAR |ISTMP#1|))
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (SPADLET |m2|
@@ -2507,16 +2507,16 @@
                          ((AND (|member| |op|
                                    (CONS '+
                                     (CONS "+" NIL)))
-                               (PAIRP |arg1|)
+                               (CONSP |arg1|)
                                (PROGN
                                  (SPADLET |mop| (QCAR |arg1|))
                                  (SPADLET |ISTMP#1| (QCDR |arg1|))
-                                 (AND (PAIRP |ISTMP#1|)
+                                 (AND (CONSP |ISTMP#1|)
                                       (PROGN
                                         (SPADLET |m1| (QCAR |ISTMP#1|))
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCDR |ISTMP#2|) NIL)
                                          (PROGN
                                            (SPADLET |m2|
diff -Nru axiom-20110301a/src/interp/nocompil.lisp.pamphlet axiom-20111101/src/interp/nocompil.lisp.pamphlet
--- axiom-20110301a/src/interp/nocompil.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nocompil.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -9,85 +9,10 @@
 \eject
 \tableofcontents
 \eject
-The function {\bf protected-symbol-warn} was added because it is
-used in {\bf setvart.boot} but apparently is nowhere defined. It
-is probably primitive to {\bf CCL}.
-
-The function {\bf protect-symbols} was added because it is
-used in {\bf setvart.boot} but apparently is nowhere defined. It
-is probably primitive to {\bf CCL}.
-
-The output of these functions is just a noisy warning message
-and this has been commented out.
-\section{GCL cmpnote function}
-GCL keeps noting the fact that the compiler is performing tail-recursion.
-Bill Schelter added this as a debugging tool for Axiom and it was never
-removed. Patching the lisp code in the GCL build fails as the system
-is actually built from the pre-compiled C code. Thus, we can only step
-on this message after the fact. The cmpnote function is used nowhere
-else in GCL so stepping on the function call seems best. We're unhappy
-with this hack and will try to convince the GCL crowd to fix this.
-\begin{chunk}{gcl-cmpnote}
-#+:gcl (defun compiler::cmpnote (&rest x))
-\end{chunk}
-\section{License}
-\begin{verbatim}
-;; Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
-;; All rights reserved.
-;;
-;; Redistribution and use in source and binary forms, with or without
-;; modification, are permitted provided that the following conditions are
-;; met:
-;;
-;;     - Redistributions of source code must retain the above copyright
-;;       notice, this list of conditions and the following disclaimer.
-;;
-;;     - Redistributions in binary form must reproduce the above copyright
-;;       notice, this list of conditions and the following disclaimer in
-;;       the documentation and/or other materials provided with the
-;;       distribution.
-;;
-;;     - Neither the name of The Numerical ALgorithms Group Ltd. nor the
-;;       names of its contributors may be used to endorse or promote products
-;;       derived from this software without specific prior written permission.
-;;
-;; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-;; IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-;; TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-;; PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-;; OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-;; EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-;; PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-;; PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-;; LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-\end{verbatim}
 \begin{chunk}{*}
 
-
-\getchunk{gcl-cmpnote}
-
 (in-package "BOOT")
 
-(defun protected-symbol-warn (&rest arg))
-;  (format t "protected-symbol-warn called with ~A~%" arg))
-
-(defun protect-symbols (&rest arg))
-;  (format t "protected-symbol-warn called with ~A~%" arg))
-
-(defun use-fast-links (arg)
-;  (format t "use-fast-links called with ~A~%" arg)
-#+:GCL  (si::use-fast-links arg)
- )
-
-(defun verbos (arg))
-;  (format t "verbos called with ~A~%" arg))
-
-(defun enable-backtrace (&rest arg)
-#+:ccl
-  (format t "protected-symbol-warn called with ~A~%" arg))
 
 ;; NOTE: JoinInner is defined in CATEGORY BOOT
 ;; following code needs to run interpreted to overcome arglist length limits
diff -Nru axiom-20110301a/src/interp/nruncomp.lisp.pamphlet axiom-20111101/src/interp/nruncomp.lisp.pamphlet
--- axiom-20110301a/src/interp/nruncomp.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nruncomp.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -66,7 +66,7 @@
                      (COND
                        (|$NRTaddForm|
                            (COND
-                             ((AND (PAIRP |$NRTaddForm|)
+                             ((AND (CONSP |$NRTaddForm|)
                                    (EQ (QCAR |$NRTaddForm|) '|@Tuple|)
                                    (PROGN
                                      (SPADLET |y| (QCDR |$NRTaddForm|))
@@ -99,10 +99,10 @@
   (declare (special |$formalArgList| |$FormalMapVariableList|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |item|) (EQ (QCAR |item|) '|domain|)
+             ((AND (CONSP |item|) (EQ (QCAR |item|) '|domain|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |item|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |lhs| (QCAR |ISTMP#1|)) 'T))))
               (|NRTencode| |lhs| |compItem|))
              ('T (SPADLET |op| (CAR |item|))
@@ -162,7 +162,7 @@
 ;  --the operation name should be assigned a slot
 ;  null firstTime and (k:= NRTassocIndex x) => k
 ;  VECP x => systemErrorHere '"NRTencode"
-;  PAIRP x =>
+;  CONSP x =>
 ;    QCAR x='Record or x is ['Union,['_:,a,b],:.] =>
 ;      [QCAR x,:[['_:,a,encode(b,c,false)]
 ;        for [.,a,b] in QCDR x for [.,=a,c] in CDR compForm]]
@@ -186,29 +186,29 @@
                (EXIT |k|))
            (IF (VECP |x|)
                (EXIT (|systemErrorHere| "NRTencode")))
-           (IF (PAIRP |x|)
+           (IF (CONSP |x|)
                (EXIT (SEQ (IF (OR (BOOT-EQUAL (QCAR |x|) '|Record|)
-                                  (AND (PAIRP |x|)
+                                  (AND (CONSP |x|)
                                        (EQ (QCAR |x|) '|Union|)
                                        (PROGN
                                          (SPADLET |ISTMP#1| (QCDR |x|))
-                                         (AND (PAIRP |ISTMP#1|)
+                                         (AND (CONSP |ISTMP#1|)
                                           (PROGN
                                             (SPADLET |ISTMP#2|
                                              (QCAR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
+                                            (AND (CONSP |ISTMP#2|)
                                              (EQ (QCAR |ISTMP#2|) '|:|)
                                              (PROGN
                                                (SPADLET |ISTMP#3|
                                                 (QCDR |ISTMP#2|))
-                                               (AND (PAIRP |ISTMP#3|)
+                                               (AND (CONSP |ISTMP#3|)
                                                 (PROGN
                                                   (SPADLET |a|
                                                    (QCAR |ISTMP#3|))
                                                   (SPADLET |ISTMP#4|
                                                    (QCDR |ISTMP#3|))
                                                   (AND
-                                                   (PAIRP |ISTMP#4|)
+                                                   (CONSP |ISTMP#4|)
                                                    (EQ (QCDR |ISTMP#4|)
                                                     NIL)
                                                    (PROGN
@@ -652,14 +652,14 @@
   (PROG (|ISTMP#1| |y| |ISTMP#2| |z|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) '|:|)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) '|:|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |x|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |y| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
                             (PROGN (SPADLET |z| (QCAR |ISTMP#2|)) 'T))))))
          (CONS '|:| (CONS |y| (CONS (|genDeltaSig| |z|) NIL))))
         ('T (|genDeltaSig| |x|))))))
@@ -672,121 +672,6 @@
   (declare (special |$NRTaddForm|))
   (COND ((BOOT-EQUAL |x| |$NRTaddForm|) 5) ('T (|NRTassocIndex| |x|))))
 
-;NRTassocIndex x == --returns index of "domain" entry x in al
-;  NULL x => x
-;  x = $NRTaddForm => 5
-;  k := or/[i for i in 1.. for y in $NRTdeltaList
-;            | y.0 = 'domain and y.1 = x and ($found := y)] =>
-;    $NRTbase + $NRTdeltaLength - k
-;  nil
-
-(DEFUN |NRTassocIndex| (|x|)
-  (PROG (|k|)
-  (declare (special |$NRTdeltaLength| |$NRTbase| |$found| |$NRTdeltaList|
-                    |$NRTaddForm|))
-    (RETURN
-      (SEQ (COND
-             ((NULL |x|) |x|)
-             ((BOOT-EQUAL |x| |$NRTaddForm|) 5)
-             ((SPADLET |k|
-                       (PROG (G166410)
-                         (SPADLET G166410 NIL)
-                         (RETURN
-                           (DO ((G166418 NIL G166410)
-                                (|i| 1 (QSADD1 |i|))
-                                (G166419 |$NRTdeltaList|
-                                    (CDR G166419))
-                                (|y| NIL))
-                               ((OR G166418 (ATOM G166419)
-                                    (PROGN
-                                      (SETQ |y| (CAR G166419))
-                                      NIL))
-                                G166410)
-                             (SEQ (EXIT (COND
-                                          ((AND
-                                            (BOOT-EQUAL (ELT |y| 0)
-                                             '|domain|)
-                                            (BOOT-EQUAL (ELT |y| 1)
-                                             |x|)
-                                            (SPADLET |$found| |y|))
-                                           (SETQ G166410
-                                            (OR G166410 |i|))))))))))
-              (SPADDIFFERENCE (PLUS |$NRTbase| |$NRTdeltaLength|) |k|))
-             ('T NIL))))))
-
-;NRTgetLocalIndexClear item == NRTgetLocalIndex1(item,true)
-
-(DEFUN |NRTgetLocalIndexClear| (|item|)
-  (|NRTgetLocalIndex1| |item| 'T))
-
-;NRTgetLocalIndex item == NRTgetLocalIndex1(item,false)
-
-(DEFUN |NRTgetLocalIndex| (|item|) (|NRTgetLocalIndex1| |item| NIL))
-
-;NRTgetLocalIndex1(item,killBindingIfTrue) ==
-;  k := NRTassocIndex item => k
-;  item = $NRTaddForm => 5
-;  item = '$ => 0
-;  item = '_$_$ => 2
-;  value:=
-;    MEMQ(item,$formalArgList) => item
-;    nil
-;  atom item and null MEMQ(item,'($ _$_$))
-;   and null value =>  --give slots to atoms
-;    $NRTdeltaList:= [['domain,NRTaddInner item,:value],:$NRTdeltaList]
-;    $NRTdeltaListComp:=[item,:$NRTdeltaListComp]
-;    $NRTdeltaLength := $NRTdeltaLength+1
-;    $NRTbase + $NRTdeltaLength - 1
-;  $NRTdeltaList:= [['domain,NRTaddInner item,:value],:$NRTdeltaList]
-;  saveNRTdeltaListComp:= $NRTdeltaListComp:=[nil,:$NRTdeltaListComp]
-;  saveIndex := $NRTbase + $NRTdeltaLength
-;  $NRTdeltaLength := $NRTdeltaLength+1
-;  compEntry:= compOrCroak(item,$EmptyMode,$e).expr
-;--    item
-;  RPLACA(saveNRTdeltaListComp,compEntry)
-;  saveIndex
-
-(DEFUN |NRTgetLocalIndex1| (|item| |killBindingIfTrue|)
-  (declare (ignore |killBindingIfTrue|))
-  (PROG (|k| |value| |saveNRTdeltaListComp| |saveIndex| |compEntry|)
-  (declare (special |$e| |$EmptyMode| |$NRTdeltaLength| |$NRTbase|
-                    |$NRTdeltaListComp| |$NRTdeltaList| |$formalArgList|
-                    |$NRTaddForm|))
-    (RETURN
-      (COND
-        ((SPADLET |k| (|NRTassocIndex| |item|)) |k|)
-        ((BOOT-EQUAL |item| |$NRTaddForm|) 5)
-        ((BOOT-EQUAL |item| '$) 0)
-        ((BOOT-EQUAL |item| '$$) 2)
-        ('T
-         (SPADLET |value|
-                  (COND
-                    ((member |item| |$formalArgList|) |item|)
-                    ('T NIL)))
-         (COND
-           ((AND (ATOM |item|) (NULL (member |item| '($ $$)))
-                 (NULL |value|))
-            (SPADLET |$NRTdeltaList|
-                     (CONS (CONS '|domain|
-                                 (CONS (|NRTaddInner| |item|) |value|))
-                           |$NRTdeltaList|))
-            (SPADLET |$NRTdeltaListComp|
-                     (CONS |item| |$NRTdeltaListComp|))
-            (SPADLET |$NRTdeltaLength| (PLUS |$NRTdeltaLength| 1))
-            (SPADDIFFERENCE (PLUS |$NRTbase| |$NRTdeltaLength|) 1))
-           ('T
-            (SPADLET |$NRTdeltaList|
-                     (CONS (CONS '|domain|
-                                 (CONS (|NRTaddInner| |item|) |value|))
-                           |$NRTdeltaList|))
-            (SPADLET |saveNRTdeltaListComp|
-                     (SPADLET |$NRTdeltaListComp|
-                              (CONS NIL |$NRTdeltaListComp|)))
-            (SPADLET |saveIndex| (PLUS |$NRTbase| |$NRTdeltaLength|))
-            (SPADLET |$NRTdeltaLength| (PLUS |$NRTdeltaLength| 1))
-            (SPADLET |compEntry|
-                     (CAR (|compOrCroak| |item| |$EmptyMode| |$e|)))
-            (RPLACA |saveNRTdeltaListComp| |compEntry|) |saveIndex|)))))))
 
 ;NRTgetAddForm domain ==
 ;  u := HGET($Slot1DataBase,first domain) =>
@@ -942,17 +827,17 @@
              ((BOOT-EQUAL |x| |dc|) ''$)
              ((BOOT-EQUAL |x| '$) ''$)
              ((BOOT-EQUAL |x| '$$) (CONS '|devaluate| (CONS '$ NIL)))
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
                      'T))
               (COND
                 ((OR (BOOT-EQUAL |op| '|Record|)
-                     (AND (BOOT-EQUAL |op| '|Union|) (PAIRP |argl|)
+                     (AND (BOOT-EQUAL |op| '|Union|) (CONSP |argl|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCAR |argl|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (EQ (QCAR |ISTMP#1|) '|:|)))))
                  (|mkList|
                      (CONS (MKQ |op|)
@@ -1034,17 +919,17 @@
     (RETURN
       (SEQ (COND
              ((BOOT-EQUAL |x| '$) '$)
-             ((AND (PAIRP |x|)
+             ((AND (CONSP |x|)
                    (PROGN
                      (SPADLET |op| (QCAR |x|))
                      (SPADLET |argl| (QCDR |x|))
                      'T))
               (COND
-                ((AND (BOOT-EQUAL |op| '|:|) (PAIRP |argl|)
+                ((AND (BOOT-EQUAL |op| '|:|) (CONSP |argl|)
                       (PROGN
                         (SPADLET |tag| (QCAR |argl|))
                         (SPADLET |ISTMP#1| (QCDR |argl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |value| (QCAR |ISTMP#1|))
@@ -1247,13 +1132,13 @@
              (SPADLET |name| (CAR |$definition|))
              (SPADLET |args| (CDR |$definition|))
              (COND
-               ((AND (PAIRP |code|) (EQ (QCAR |code|) '|add|)
+               ((AND (CONSP |code|) (EQ (QCAR |code|) '|add|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |code|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |newstuff|
@@ -1331,14 +1216,14 @@
              (SPADLET |makeCatvecCode| (CAR |catvecListMaker|))
              (SPADLET |emptyVector| (VECTOR))
              (SPADLET |domainShell|
-                      (GETREFV (PLUS 6 |$NRTdeltaLength|)))
+                      (make-array (PLUS 6 |$NRTdeltaLength|)))
              (DO ((|i| 0 (QSADD1 |i|))) ((QSGREATERP |i| 4) NIL)
                (SEQ (EXIT (SETELT |domainShell| |i|
                                   (ELT |$domainShell| |i|)))))
              (SPADLET |$template|
                       (COND
                         ((BOOT-EQUAL |$NRTvec| 'T)
-                         (GETREFV (PLUS 6 |$NRTdeltaLength|)))
+                         (make-array (PLUS 6 |$NRTdeltaLength|)))
                         ('T NIL)))
              (SPADLET |$catvecList|
                       (CONS |domainShell|
@@ -1359,9 +1244,9 @@
                                          (CONS |emptyVector| G166786)))))))))
              (SPADLET |$catNames| (CONS '$ NIL))
              (SPADLET |$maximalViews| NIL)
-             (SPADLET |$SetFunctions| (GETREFV (SIZE |domainShell|)))
+             (SPADLET |$SetFunctions| (make-array (SIZE |domainShell|)))
              (SPADLET |$MissingFunctionInfo|
-                      (GETREFV (SIZE |domainShell|)))
+                      (make-array (SIZE |domainShell|)))
              (SPADLET |$catNames|
                       (CONS '$
                             (PROG (G166801)
@@ -1515,7 +1400,7 @@
              (SPADLET |createViewCode|
                       (CONS 'LET
                             (CONS '$
-                                  (CONS (CONS 'GETREFV
+                                  (CONS (CONS 'make-array
                                          (CONS
                                           (PLUS 6 |$NRTdeltaLength|)
                                           NIL))
@@ -1641,7 +1526,7 @@
 
 (DEFUN |NRTvectorCopy| (|cacheName| |domName| |deltaLength|)
   (declare (ignore |cacheName| |domName| ))
-  (GETREFV (PLUS 6 |deltaLength|)))
+  (make-array (PLUS 6 |deltaLength|)))
 
 ;mkDomainCatName id == INTERN STRCONC(id,";CAT")
 
@@ -2278,7 +2163,7 @@
   (declare (special |$hasCategoryAlist|))
     (RETURN
       (COND
-        ((AND (PAIRP |u|)
+        ((AND (CONSP |u|)
               (PROGN
                 (SPADLET |a| (QCAR |u|))
                 (SPADLET |b| (QCDR |u|))
@@ -2366,11 +2251,11 @@
                                           (|insert| |pred|
                                            |$NRTslot1PredicateList|))))
                       NIL)
-                  (IF (AND (AND (PAIRP |fnsel|)
+                  (IF (AND (AND (CONSP |fnsel|)
                                 (PROGN
                                   (SPADLET |op| (QCAR |fnsel|))
                                   (SPADLET |ISTMP#1| (QCDR |fnsel|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |a| (QCAR |ISTMP#1|))
                                          'T))))
@@ -2411,18 +2296,18 @@
                            (EXIT (SPADLET |$lastPred| |pred|)))
                       NIL)
                   (SPADLET |newfnsel|
-                           (SEQ (IF (AND (PAIRP |fnsel|)
+                           (SEQ (IF (AND (CONSP |fnsel|)
                                      (EQ (QCAR |fnsel|) '|Subsumed|)
                                      (PROGN
                                        (SPADLET |ISTMP#1|
                                         (QCDR |fnsel|))
-                                       (AND (PAIRP |ISTMP#1|)
+                                       (AND (CONSP |ISTMP#1|)
                                         (PROGN
                                           (SPADLET |op1|
                                            (QCAR |ISTMP#1|))
                                           (SPADLET |ISTMP#2|
                                            (QCDR |ISTMP#1|))
-                                          (AND (PAIRP |ISTMP#2|)
+                                          (AND (CONSP |ISTMP#2|)
                                            (EQ (QCDR |ISTMP#2|) NIL)
                                            (PROGN
                                              (SPADLET |sig1|
@@ -2521,9 +2406,9 @@
   (PROG (|preds| |ISTMP#1| |pred1|)
     (RETURN
       (SEQ (COND
-             ((OR (AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
+             ((OR (AND (CONSP |pred|) (EQ (QCAR |pred|) 'AND)
                        (PROGN (SPADLET |preds| (QCDR |pred|)) 'T))
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) '|and|)
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) '|and|)
                        (PROGN (SPADLET |preds| (QCDR |pred|)) 'T)))
               (DO ((G167619 |preds| (CDR G167619)) (|p| NIL))
                   ((OR (ATOM G167619)
@@ -2532,24 +2417,24 @@
                 (SEQ (EXIT (SPADLET |$e|
                                     (|deepChaseInferences| |p| |$e|)))))
               |$e|)
-             ((OR (AND (PAIRP |pred|) (EQ (QCAR |pred|) 'OR)
+             ((OR (AND (CONSP |pred|) (EQ (QCAR |pred|) 'OR)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |pred|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |pred1| (QCAR |ISTMP#1|))
                                 'T))))
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) '|or|)
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) '|or|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |pred|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (PROGN
                                 (SPADLET |pred1| (QCAR |ISTMP#1|))
                                 'T)))))
               (|deepChaseInferences| |pred1| |$e|))
              ((OR (EQ |pred| 'T)
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) 'NOT))
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) '|not|)))
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) 'NOT))
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) '|not|)))
               |$e|)
              ('T (|chaseInferences| |pred| |$e|)))))))
 
@@ -2579,16 +2464,16 @@
                                      NIL))
                                G167647)
                             (SEQ (EXIT (COND
-                                         ((AND (PAIRP |u|)
+                                         ((AND (CONSP |u|)
                                            (EQUAL (QCAR |u|) |op|)
                                            (PROGN
                                              (SPADLET |ISTMP#1|
                                               (QCDR |u|))
-                                             (AND (PAIRP |ISTMP#1|)
+                                             (AND (CONSP |ISTMP#1|)
                                               (PROGN
                                                 (SPADLET |ISTMP#2|
                                                  (QCAR |ISTMP#1|))
-                                                (AND (PAIRP |ISTMP#2|)
+                                                (AND (CONSP |ISTMP#2|)
                                                  (EQUAL
                                                   (QCAR |ISTMP#2|) '$)
                                                  (PROGN
@@ -2699,167 +2584,6 @@
         (SPADLET |$elt| (COND (|$QuickCode| 'QREFELT) ('T 'ELT)))
         (|NRTputInHead| |bod|)))))
 
-;NRTputInHead bod ==
-;  atom bod => bod
-;--  LASSOC(bod,$devaluateList) => nil
-;--  k:= NRTassocIndex bod => [$elt,'_$,k]
-;--  systemError '"unexpected position of domain reference"
-;--  bod
-;--bod is ['LET,var,val,:extra] and IDENTP var =>
-;--  NRTputInTail extra
-;--  k:= NRTassocIndex var => RPLAC(CADDR bod,[$elt,'$,k])
-;--  NRTputInHead val
-;--  bod
-;  bod is ['SPADCALL,:args,fn] =>
-;    NRTputInTail rest bod --NOTE: args = COPY of rest bod
-;    -- The following test allows function-returning expressions
-;    fn is [elt,dom,ind] and not (dom='$) and MEMQ(elt,'(ELT QREFELT CONST)) =>
-;      k:= NRTassocIndex dom => RPLACA(LASTNODE bod,[$elt,'_$,k])
-;--    sayBrightlyNT '"unexpected SPADCALL:"
-;--    pp fn
-;--    nil
-;--    keyedSystemError("S2GE0016",['"NRTputInHead",
-;--       '"unexpected SPADCALL form"])
-;      nil
-;    NRTputInHead fn
-;    bod
-;  bod is ["COND",:clauses] =>
-;    for cc in clauses repeat NRTputInTail cc
-;    bod
-;  bod is ["QUOTE",:.] => bod
-;  bod is ["CLOSEDFN",:.] => bod
-;  bod is ["SPADCONST",dom,ind] =>
-;    RPLACA(bod,$elt)
-;    dom = '_$ => nil
-;    k:= NRTassocIndex dom =>
-;      RPLACA(LASTNODE bod,[$elt,'_$,k])
-;      bod
-;    keyedSystemError("S2GE0016",['"NRTputInHead",
-;       '"unexpected SPADCONST form"])
-;  NRTputInHead first bod
-;  NRTputInTail rest bod
-;  bod
-
-(DEFUN |NRTputInHead| (|bod|)
-  (PROG (|fn| |args| |elt| |clauses| |ISTMP#1| |dom| |ISTMP#2| |ind| |k|)
-  (declare (special |$elt|))
-    (RETURN
-      (SEQ (COND
-             ((ATOM |bod|) |bod|)
-             ((AND (PAIRP |bod|) (EQ (QCAR |bod|) 'SPADCALL)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |bod|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
-                            'T)
-                          (PAIRP |ISTMP#2|)
-                          (PROGN
-                            (SPADLET |fn| (QCAR |ISTMP#2|))
-                            (SPADLET |args| (QCDR |ISTMP#2|))
-                            'T)
-                          (PROGN
-                            (SPADLET |args| (NREVERSE |args|))
-                            'T))))
-              (|NRTputInTail| (CDR |bod|))
-              (COND
-                ((AND (PAIRP |fn|)
-                      (PROGN
-                        (SPADLET |elt| (QCAR |fn|))
-                        (SPADLET |ISTMP#1| (QCDR |fn|))
-                        (AND (PAIRP |ISTMP#1|)
-                             (PROGN
-                               (SPADLET |dom| (QCAR |ISTMP#1|))
-                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
-                                    (EQ (QCDR |ISTMP#2|) NIL)
-                                    (PROGN
-                                      (SPADLET |ind| (QCAR |ISTMP#2|))
-                                      'T)))))
-                      (NULL (BOOT-EQUAL |dom| '$))
-                      (member |elt| '(ELT QREFELT CONST)))
-                 (COND
-                   ((SPADLET |k| (|NRTassocIndex| |dom|))
-                    (RPLACA (LASTNODE |bod|)
-                            (CONS |$elt| (CONS '$ (CONS |k| NIL)))))
-                   ('T NIL)))
-                ('T (|NRTputInHead| |fn|) |bod|)))
-             ((AND (PAIRP |bod|) (EQ (QCAR |bod|) 'COND)
-                   (PROGN (SPADLET |clauses| (QCDR |bod|)) 'T))
-              (DO ((G167797 |clauses| (CDR G167797)) (|cc| NIL))
-                  ((OR (ATOM G167797)
-                       (PROGN (SETQ |cc| (CAR G167797)) NIL))
-                   NIL)
-                (SEQ (EXIT (|NRTputInTail| |cc|))))
-              |bod|)
-             ((AND (PAIRP |bod|) (EQ (QCAR |bod|) 'QUOTE)) |bod|)
-             ((AND (PAIRP |bod|) (EQ (QCAR |bod|) 'CLOSEDFN)) |bod|)
-             ((AND (PAIRP |bod|) (EQ (QCAR |bod|) 'SPADCONST)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |bod|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |dom| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |ind| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (RPLACA |bod| |$elt|)
-              (COND
-                ((BOOT-EQUAL |dom| '$) NIL)
-                ((SPADLET |k| (|NRTassocIndex| |dom|))
-                 (RPLACA (LASTNODE |bod|)
-                         (CONS |$elt| (CONS '$ (CONS |k| NIL))))
-                 |bod|)
-                ('T
-                 (|keyedSystemError| 'S2GE0016
-                     (CONS "NRTputInHead"
-                           (CONS "unexpected SPADCONST form"
-                                 NIL))))))
-             ('T (|NRTputInHead| (CAR |bod|))
-              (|NRTputInTail| (CDR |bod|)) |bod|))))))
-
-;NRTputInTail x ==
-;  for y in tails x repeat
-;    atom (u := first y) =>
-;      EQ(u,'$) or LASSOC(u,$devaluateList) => nil
-;      k:= NRTassocIndex u =>
-;        atom u => RPLACA(y,[$elt,'_$,k])
-;        -- u atomic means that the slot will always contain a vector
-;        RPLACA(y,['SPADCHECKELT,'_$,k])
-;      --this reference must check that slot is a vector
-;      nil
-;    NRTputInHead u
-;  x
-
-(DEFUN |NRTputInTail| (|x|)
-  (PROG (|u| |k|)
-  (declare (special |$elt| |$devaluateList|))
-    (RETURN
-      (SEQ (PROGN
-             (DO ((|y| |x| (CDR |y|))) ((ATOM |y|) NIL)
-               (SEQ (EXIT (COND
-                            ((ATOM (SPADLET |u| (CAR |y|)))
-                             (COND
-                               ((OR (EQ |u| '$)
-                                    (LASSOC |u| |$devaluateList|))
-                                NIL)
-                               ((SPADLET |k| (|NRTassocIndex| |u|))
-                                (COND
-                                  ((ATOM |u|)
-                                   (RPLACA |y|
-                                    (CONS |$elt|
-                                     (CONS '$ (CONS |k| NIL)))))
-                                  ('T
-                                   (RPLACA |y|
-                                    (CONS 'SPADCHECKELT
-                                     (CONS '$ (CONS |k| NIL)))))))
-                               ('T NIL)))
-                            ('T (|NRTputInHead| |u|))))))
-             |x|)))))
-
 \end{chunk}
 \eject
 \begin{thebibliography}{99}
diff -Nru axiom-20110301a/src/interp/nrunfast.lisp.pamphlet axiom-20111101/src/interp/nrunfast.lisp.pamphlet
--- axiom-20110301a/src/interp/nrunfast.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nrunfast.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -116,7 +116,7 @@
 ;  goGetDomain :=
 ;     goGetDomainSlotIndex = 0 => thisDomain
 ;     thisDomain.goGetDomainSlotIndex
-;  if PAIRP goGetDomain and SYMBOLP CAR goGetDomain then
+;  if CONSP goGetDomain and SYMBOLP CAR goGetDomain then
 ;     goGetDomain := lazyDomainSet(goGetDomain,thisDomain,goGetDomainSlotIndex)
 ;  sig :=
 ;    [newExpandTypeSlot(bytevec.(index := QSADD1 index),thisDomain,thisDomain)
@@ -160,7 +160,7 @@
                         ((EQL |goGetDomainSlotIndex| 0) |thisDomain|)
                         ('T (ELT |thisDomain| |goGetDomainSlotIndex|))))
              (COND
-               ((AND (PAIRP |goGetDomain|)
+               ((AND (CONSP |goGetDomain|)
                      (SYMBOLP (CAR |goGetDomain|)))
                 (SPADLET |goGetDomain|
                          (|lazyDomainSet| |goGetDomain| |thisDomain|
@@ -330,7 +330,7 @@
 ;  NE(success,'failed) and success =>
 ;    if $monitorNewWorld then
 ;      sayLooking1('"<----",uu) where uu ==
-;        PAIRP success => [first success,:devaluate rest success]
+;        CONSP success => [first success,:devaluate rest success]
 ;        success
 ;    success
 ;  subsumptionSig and (u:= basicLookup(op,subsumptionSig,domain,dollar)) => u
@@ -485,7 +485,7 @@
                      (|$monitorNewWorld|
                          (|sayLooking1| "<----"
                              (COND
-                               ((PAIRP |success|)
+                               ((CONSP |success|)
                                 (CONS (CAR |success|)
                                       (|devaluate| (CDR |success|))))
                                ('T |success|)))))
@@ -505,7 +505,7 @@
 (DEFUN |isDefaultPackageForm?| (|x|)
   (PROG (|op| |s|)
     (RETURN
-      (AND (PAIRP |x|) (PROGN (SPADLET |op| (QCAR |x|)) 'T)
+      (AND (CONSP |x|) (PROGN (SPADLET |op| (QCAR |x|)) 'T)
            (IDENTP |op|)
            (BOOT-EQUAL (ELT (SPADLET |s| (PNAME |op|)) (MAXINDEX |s|))
                '&)))))
@@ -600,7 +600,7 @@
 ;  NE(success,'failed) and success =>
 ;    if $monitorNewWorld then
 ;      sayLooking1('"<----",uu) where uu ==
-;        PAIRP success => [first success,:devaluate rest success]
+;        CONSP success => [first success,:devaluate rest success]
 ;        success
 ;    success
 ;  subsumptionSig and (u:= basicLookup(op,subsumptionSig,domain,dollar)) => u
@@ -804,7 +804,7 @@
                         (|$monitorNewWorld|
                             (|sayLooking1| "<----"
                                 (COND
-                                  ((PAIRP |success|)
+                                  ((CONSP |success|)
                                    (CONS (CAR |success|)
                                     (|devaluate| (CDR |success|))))
                                   ('T |success|)))))
@@ -1990,10 +1990,10 @@
            (COND
              ((STRINGP |s|) (BOOT-EQUAL |a| |s|))
              ('T
-              (AND (PAIRP |s|) (EQ (QCAR |s|) 'QUOTE)
+              (AND (CONSP |s|) (EQ (QCAR |s|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |s|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T)))
                    (BOOT-EQUAL (PNAME |y|) |a|))
               (AND (IDENTP |s|) (BOOT-EQUAL (PNAME |s|) |a|)))))
@@ -2034,7 +2034,7 @@
               |ISTMP#2| |slotNum| |l|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |lazyt|)
+             ((AND (CONSP |lazyt|)
                    (PROGN
                      (SPADLET |op| (QCAR |lazyt|))
                      (SPADLET |argl| (QCDR |lazyt|))
@@ -2047,7 +2047,7 @@
                 ((AND (member |op| '(|Record| |Union|))
                       (PROGN
                         (SPADLET |ISTMP#1| (CAR |argl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) '|:|))))
                  (PROG (G166783)
                    (SPADLET G166783 'T)
@@ -2133,32 +2133,32 @@
                                       (AND G166825
                                        (|lazyMatchArg2| |s| |a|
                                         |dollar| |domain| |flag|)))))))))))))
-             ((AND (STRINGP |source|) (PAIRP |lazyt|)
+             ((AND (STRINGP |source|) (CONSP |lazyt|)
                    (EQ (QCAR |lazyt|) 'QUOTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |lazyt|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (EQUAL (QCAR |ISTMP#1|) |source|))))
               'T)
              ((NUMBERP |source|)
               (COND
-                ((AND (PAIRP |lazyt|) (EQ (QCAR |lazyt|) '|#|)
+                ((AND (CONSP |lazyt|) (EQ (QCAR |lazyt|) '|#|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |lazyt|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN
                                (SPADLET |slotNum| (QCAR |ISTMP#1|))
                                'T))))
                  (BOOT-EQUAL |source| (|#| (ELT |domain| |slotNum|))))
-                ((AND (PAIRP |lazyt|) (EQ (QCAR |lazyt|) '|call|)
+                ((AND (CONSP |lazyt|) (EQ (QCAR |lazyt|) '|call|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |lazyt|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) 'LENGTH)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |slotNum|
@@ -2166,7 +2166,7 @@
                                       'T))))))
                  (BOOT-EQUAL |source| (|#| (ELT |domain| |slotNum|))))
                 ('T NIL)))
-             ((AND (PAIRP |source|) (EQ (QCAR |source|) '|construct|)
+             ((AND (CONSP |source|) (EQ (QCAR |source|) '|construct|)
                    (PROGN (SPADLET |l| (QCDR |source|)) 'T))
               (BOOT-EQUAL |l| |lazyt|))
              ('T NIL))))))
@@ -2232,18 +2232,18 @@
                                      (AND G166912
                                       (COND
                                         ((BOOT-EQUAL |x| |arg|) 'T)
-                                        ((AND (PAIRP |x|)
+                                        ((AND (CONSP |x|)
                                           (EQ (QCAR |x|) '|elt|)
                                           (PROGN
                                             (SPADLET |ISTMP#1|
                                              (QCDR |x|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (PROGN
                                                (SPADLET |someDomain|
                                                 (QCAR |ISTMP#1|))
                                                (SPADLET |ISTMP#2|
                                                 (QCDR |ISTMP#1|))
-                                               (AND (PAIRP |ISTMP#2|)
+                                               (AND (CONSP |ISTMP#2|)
                                                 (EQ (QCDR |ISTMP#2|)
                                                  NIL)
                                                 (PROGN
@@ -2395,11 +2395,11 @@
         ((VECP |lazyt|) (ELT |lazyt| 0))
         ((|isDomain| |lazyt|) (|devaluate| |lazyt|))
         ((ATOM |lazyt|) |lazyt|)
-        ((AND (PAIRP |lazyt|)
+        ((AND (CONSP |lazyt|)
               (PROGN
                 (SPADLET |vec| (QCAR |lazyt|))
                 (SPADLET |ISTMP#1| (QCDR |lazyt|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN (SPADLET |lazyForm| (QCDR |ISTMP#1|)) 'T)))
               (VECP |vec|))
          (|newExpandLocalTypeForm| |lazyForm| |dollar| |domain|))
@@ -2427,7 +2427,7 @@
                ((AND (member |functorName| '(|Record| |Union|))
                      (PROGN
                        (SPADLET |ISTMP#1| (CAR |argl|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQ (QCAR |ISTMP#1|) '|:|))))
                 (CONS |functorName|
                       (PROG (G167036)
@@ -2527,16 +2527,16 @@
          (COND
            (|typeFlag| (|newExpandTypeSlot| |u| |dollar| |domain|))
            ('T (ELT |domain| |u|))))
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'NRTEVAL)
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'NRTEVAL)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          (|nrtEval| |y| |domain|))
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          |y|)
         ((BOOT-EQUAL |u| '$$) (ELT |domain| 0))
@@ -2664,13 +2664,13 @@
                (EXIT (|assoc| |b| (|ancestorsOf| |a| NIL))))
            (IF (|isPartialMode| |a|)
                (EXIT (|throwKeyedMsg| 'S2IS0025 NIL)))
-           (IF (AND (PAIRP |b|) (EQ (QCAR |b|) 'SIGNATURE)
+           (IF (AND (CONSP |b|) (EQ (QCAR |b|) 'SIGNATURE)
                     (PROGN (SPADLET |opSig| (QCDR |b|)) 'T))
                (EXIT (|HasSignature| (|evalDomain| |a|) |opSig|)))
-           (IF (AND (PAIRP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
+           (IF (AND (CONSP |b|) (EQ (QCAR |b|) 'ATTRIBUTE)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |b|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                            (PROGN
                              (SPADLET |attr| (QCAR |ISTMP#1|))
                              'T))))
@@ -2687,38 +2687,38 @@
              (SPADLET |l| (CDR |x|))
              |x|)
            (IF (BOOT-EQUAL |pred| '|has|)
-               (EXIT (SEQ (IF (AND (PAIRP |l|)
+               (EXIT (SEQ (IF (AND (CONSP |l|)
                                    (PROGN
                                      (SPADLET |w1| (QCAR |l|))
                                      (SPADLET |ISTMP#1| (QCDR |l|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |ISTMP#2|
                                          (QCAR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCAR |ISTMP#2|)
                                           'ATTRIBUTE)
                                          (PROGN
                                            (SPADLET |ISTMP#3|
                                             (QCDR |ISTMP#2|))
-                                           (AND (PAIRP |ISTMP#3|)
+                                           (AND (CONSP |ISTMP#3|)
                                             (EQ (QCDR |ISTMP#3|) NIL)
                                             (PROGN
                                               (SPADLET |w2|
                                                (QCAR |ISTMP#3|))
                                               'T))))))))
                               (EXIT (|newHasTest| |w1| |w2|)))
-                          (IF (AND (PAIRP |l|)
+                          (IF (AND (CONSP |l|)
                                    (PROGN
                                      (SPADLET |w1| (QCAR |l|))
                                      (SPADLET |ISTMP#1| (QCDR |l|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (EQ (QCDR |ISTMP#1|) NIL)
                                       (PROGN
                                         (SPADLET |ISTMP#2|
                                          (QCAR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (EQ (QCAR |ISTMP#2|)
                                           'SIGNATURE)
                                          (PROGN
@@ -2768,7 +2768,7 @@
   (declare (special |$FormalMapVariableList|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |domform|)
+             ((AND (CONSP |domform|)
                    (PROGN (SPADLET |dom| (QCAR |domform|)) 'T)
                    (|member| |dom|
                        '(|Union| |Record| |Mapping| |Enumeration|)))
@@ -2792,19 +2792,19 @@
                        (SEQ (EXIT (SETQ G167279
                                         (AND G167279
                                          (|newHasTest| |domform| |x|)))))))))
-                ((AND (PAIRP |catOrAtt|) (EQ (QCAR |catOrAtt|) '|:|)
+                ((AND (CONSP |catOrAtt|) (EQ (QCAR |catOrAtt|) '|:|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |catOrAtt|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |fun| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#3|
                                        (QCAR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCAR |ISTMP#3|) '|Mapping|)
                                        (PROGN
                                          (SPADLET |sig1|
@@ -2815,7 +2815,7 @@
                       (SPADLET |ISTMP#1|
                                (|evaluateType|
                                    (CONS '|Mapping| |sig1|)))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (EQ (QCAR |ISTMP#1|) '|Mapping|)
                            (PROGN
                              (SPADLET |sig2| (QCDR |ISTMP#1|))
@@ -3118,13 +3118,13 @@
   (PROG (|ISTMP#1| |f| |catform| |domain0| |slot4| |catlist|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |catform'|) (EQ (QCAR |catform'|) 'SIGNATURE)
+             ((AND (CONSP |catform'|) (EQ (QCAR |catform'|) 'SIGNATURE)
                    (PROGN (SPADLET |f| (QCDR |catform'|)) 'T))
               (|HasSignature| |domain| |f|))
-             ((AND (PAIRP |catform'|) (EQ (QCAR |catform'|) 'ATTRIBUTE)
+             ((AND (CONSP |catform'|) (EQ (QCAR |catform'|) 'ATTRIBUTE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |catform'|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |f| (QCAR |ISTMP#1|)) 'T))))
               (|HasAttribute| |domain| |f|))
              ((|isDomain| |domain|)
diff -Nru axiom-20110301a/src/interp/nrungo.lisp.pamphlet axiom-20111101/src/interp/nrungo.lisp.pamphlet
--- axiom-20110301a/src/interp/nrungo.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nrungo.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -13,222 +13,6 @@
 
 (IN-PACKAGE "BOOT" )
 
-;--=======================================================
-;--             Lookup From Interpreter
-;--=======================================================
-;NRTevalDomain form ==
-;  form is ['SETELT,:.] => eval form
-;  evalDomain form
-
-(DEFUN |NRTevalDomain| (|form|)
-  (COND
-    ((AND (PAIRP |form|) (EQ (QCAR |form|) 'SETELT)) (|eval| |form|))
-    ('T (|evalDomain| |form|))))
-
-;compiledLookup(op, sig, dollar) ==
-;  if not isDomain dollar then dollar := NRTevalDomain dollar
-;  basicLookup(op, sig, dollar, dollar)
-
-(DEFUN |compiledLookup| (|op| |sig| |dollar|)
-  (PROGN
-    (COND
-      ((NULL (|isDomain| |dollar|))
-       (SPADLET |dollar| (|NRTevalDomain| |dollar|))))
-    (|basicLookup| |op| |sig| |dollar| |dollar|)))
-
-;basicLookup(op,sig,domain,dollar) ==
-;   -- following case is for old domains like Record and Union
-;   -- or for getting operations out of yourself
-;  VECP domain =>
-;     isNewWorldDomain domain => -- getting ops from yourself (or for defaults)
-;        oldCompLookup(op, sig, domain, dollar)
-;     -- getting ops from Record or Union
-;     lookupInDomainVector(op,sig,domain,dollar)
-;  hashPercent :=
-;     VECP dollar => hashType(dollar.0,0)
-;     hashType(dollar,0)
-;  box := [nil]
-;  not VECP(dispatch := CAR domain) => error "bad domain format"
-;  lookupFun := dispatch.3
-;  dispatch.0 = 0 =>  -- new compiler domain object
-;       hashSig :=
-;           hashCode? sig => sig
-;           opIsHasCat op => hashType(sig, hashPercent)
-;           hashType(['Mapping,:sig], hashPercent)
-;       if SYMBOLP op then
-;          op = 'Zero => op := $hashOp0
-;          op = 'One => op := $hashOp1
-;          op = 'elt => op := $hashOpApply
-;          op = 'setelt => op := $hashOpSet
-;          op := hashString SYMBOL_-NAME op
-;       val:=CAR SPADCALL(CDR domain, dollar, op, hashSig, box, false,
-;                               lookupFun) => val
-;       hashCode? sig => nil
-;       #sig>1 or opIsHasCat op => nil
-;       boxval := SPADCALL(CDR dollar, dollar, op, hashType(first sig, hashPercent),
-;                     box, false, lookupFun) =>
-;          [FUNCTION IDENTITY,: CAR boxval]
-;       nil
-;  opIsHasCat op =>
-;      HasCategory(domain, sig)
-;  if hashCode? op then
-;     EQL(op, $hashOp1) => op := 'One
-;     EQL(op, $hashOp0) => op := 'Zero
-;     EQL(op, $hashOpApply) => op := 'elt
-;     EQL(op, $hashOpSet) => op := 'setelt
-;     EQL(op, $hashSeg) => op := 'SEGMENT
-;  hashCode? sig and EQL(sig, hashPercent) =>
-;      SPADCALL CAR SPADCALL(CDR dollar, dollar, op, '($), box, false, lookupFun)
-;  CAR SPADCALL(CDR dollar, dollar, op, sig, box, false, lookupFun)
-
-(DEFUN |basicLookup| (|op| |sig| |domain| |dollar|)
-  (PROG (|hashPercent| |box| |dispatch| |lookupFun| |hashSig| |val| |boxval|)
-  (declare (special |$hashSeg| |$hashOpSet| |$hashOpApply| |$hashOp0|
-                    |$hashOp1|))
-    (RETURN
-      (COND
-        ((VECP |domain|)
-         (COND
-           ((|isNewWorldDomain| |domain|)
-            (|oldCompLookup| |op| |sig| |domain| |dollar|))
-           ('T (|lookupInDomainVector| |op| |sig| |domain| |dollar|))))
-        ('T
-         (SPADLET |hashPercent|
-                  (COND
-                    ((VECP |dollar|) (|hashType| (ELT |dollar| 0) 0))
-                    ('T (|hashType| |dollar| 0))))
-         (SPADLET |box| (CONS NIL NIL))
-         (COND
-           ((NULL (VECP (SPADLET |dispatch| (CAR |domain|))))
-            (|error| '|bad domain format|))
-           ('T (SPADLET |lookupFun| (ELT |dispatch| 3))
-            (COND
-              ((EQL (ELT |dispatch| 0) 0)
-               (SPADLET |hashSig|
-                        (COND
-                          ((|hashCode?| |sig|) |sig|)
-                          ((|opIsHasCat| |op|)
-                           (|hashType| |sig| |hashPercent|))
-                          ('T
-                           (|hashType| (CONS '|Mapping| |sig|)
-                               |hashPercent|))))
-               (COND
-                 ((SYMBOLP |op|)
-                  (COND
-                    ((BOOT-EQUAL |op| '|Zero|)
-                     (SPADLET |op| |$hashOp0|))
-                    ((BOOT-EQUAL |op| '|One|)
-                     (SPADLET |op| |$hashOp1|))
-                    ((BOOT-EQUAL |op| '|elt|)
-                     (SPADLET |op| |$hashOpApply|))
-                    ((BOOT-EQUAL |op| '|setelt|)
-                     (SPADLET |op| |$hashOpSet|))
-                    ('T
-                     (SPADLET |op| (|hashString| (SYMBOL-NAME |op|)))))))
-               (COND
-                 ((SPADLET |val|
-                           (CAR (SPADCALL (CDR |domain|) |dollar| |op|
-                                    |hashSig| |box| NIL |lookupFun|)))
-                  |val|)
-                 ((|hashCode?| |sig|) NIL)
-                 ((OR (> (|#| |sig|) 1) (|opIsHasCat| |op|)) NIL)
-                 ((SPADLET |boxval|
-                           (SPADCALL (CDR |dollar|) |dollar| |op|
-                               (|hashType| (CAR |sig|) |hashPercent|)
-                               |box| NIL |lookupFun|))
-                  (CONS #'IDENTITY (CAR |boxval|)))
-                 ('T NIL)))
-              ((|opIsHasCat| |op|) (|HasCategory| |domain| |sig|))
-              ('T
-               (COND
-                 ((|hashCode?| |op|)
-                  (COND
-                    ((EQL |op| |$hashOp1|) (SPADLET |op| '|One|))
-                    ((EQL |op| |$hashOp0|) (SPADLET |op| '|Zero|))
-                    ((EQL |op| |$hashOpApply|) (SPADLET |op| '|elt|))
-                    ((EQL |op| |$hashOpSet|) (SPADLET |op| '|setelt|))
-                    ((EQL |op| |$hashSeg|) (SPADLET |op| 'SEGMENT)))))
-               (COND
-                 ((AND (|hashCode?| |sig|) (EQL |sig| |hashPercent|))
-                  (SPADCALL
-                      (CAR (SPADCALL (CDR |dollar|) |dollar| |op| '($)
-                               |box| NIL |lookupFun|))))
-                 ('T
-                  (CAR (SPADCALL (CDR |dollar|) |dollar| |op| |sig|
-                           |box| NIL |lookupFun|)))))))))))))
-
-;basicLookupCheckDefaults(op,sig,domain,dollar) ==
-;  box := [nil]
-;  not VECP(dispatch := CAR dollar) => error "bad domain format"
-;  lookupFun := dispatch.3
-;  dispatch.0 = 0  =>  -- new compiler domain object
-;       hashPercent :=
-;          VECP dollar => hashType(dollar.0,0)
-;          hashType(dollar,0)
-;       hashSig :=
-;         hashCode? sig => sig
-;         hashType( ['Mapping,:sig], hashPercent)
-;       if SYMBOLP op then op := hashString SYMBOL_-NAME op
-;       CAR SPADCALL(CDR dollar, dollar, op, hashSig, box, not $lookupDefaults, lookupFun)
-;  CAR SPADCALL(CDR dollar, dollar, op, sig, box, not $lookupDefaults, lookupFun)
-
-(DEFUN |basicLookupCheckDefaults| (|op| |sig| |domain| |dollar|)
-  (declare (ignore |domain|))
-  (PROG (|box| |dispatch| |lookupFun| |hashPercent| |hashSig|)
-  (declare (special |$lookupDefaults|))
-    (RETURN
-      (PROGN
-        (SPADLET |box| (CONS NIL NIL))
-        (COND
-          ((NULL (VECP (SPADLET |dispatch| (CAR |dollar|))))
-           (|error| '|bad domain format|))
-          ('T (SPADLET |lookupFun| (ELT |dispatch| 3))
-           (COND
-             ((EQL (ELT |dispatch| 0) 0)
-              (SPADLET |hashPercent|
-                       (COND
-                         ((VECP |dollar|)
-                          (|hashType| (ELT |dollar| 0) 0))
-                         ('T (|hashType| |dollar| 0))))
-              (SPADLET |hashSig|
-                       (COND
-                         ((|hashCode?| |sig|) |sig|)
-                         ('T
-                          (|hashType| (CONS '|Mapping| |sig|)
-                              |hashPercent|))))
-              (COND
-                ((SYMBOLP |op|)
-                 (SPADLET |op| (|hashString| (SYMBOL-NAME |op|)))))
-              (CAR (SPADCALL (CDR |dollar|) |dollar| |op| |hashSig|
-                       |box| (NULL |$lookupDefaults|) |lookupFun|)))
-             ('T
-              (CAR (SPADCALL (CDR |dollar|) |dollar| |op| |sig| |box|
-                       (NULL |$lookupDefaults|) |lookupFun|))))))))))
-
-;-- has cat questions lookup up twice if false
-;-- replace with following ?
-;--  not(opIsHasCat op) and
-;--     (u := lookupInDomainVector(op,sig,domvec,domvec)) => u
-;oldCompLookup(op, sig, domvec, dollar) ==
-;  $lookupDefaults:local := nil
-;  u := lookupInDomainVector(op,sig,domvec,dollar) => u
-;  $lookupDefaults := true
-;  lookupInDomainVector(op,sig,domvec,dollar)
-
-(DEFUN |oldCompLookup| (|op| |sig| |domvec| |dollar|)
-  (PROG (|$lookupDefaults| |u|)
-    (DECLARE (SPECIAL |$lookupDefaults|))
-    (RETURN
-      (PROGN
-        (SPADLET |$lookupDefaults| NIL)
-        (COND
-          ((SPADLET |u|
-                    (|lookupInDomainVector| |op| |sig| |domvec|
-                        |dollar|))
-           |u|)
-          ('T (SPADLET |$lookupDefaults| 'T)
-           (|lookupInDomainVector| |op| |sig| |domvec| |dollar|)))))))
-
 ;oldCompLookupNoDefaults(op, sig, domvec, dollar) ==
 ;  $lookupDefaults:local := nil
 ;  lookupInDomainVector(op,sig,domvec,dollar)
@@ -241,37 +25,6 @@
         (SPADLET |$lookupDefaults| NIL)
         (|lookupInDomainVector| |op| |sig| |domvec| |dollar|)))))
 
-;compiledLookupCheck(op,sig,dollar) ==
-;  fn := compiledLookup(op,sig,dollar)
-;  -- NEW COMPILER COMPATIBILITY ON
-;  if      (fn = nil)  and (op = "^") then
-;    fn := compiledLookup("**",sig,dollar)
-;  else if (fn = nil)  and (op = "**") then
-;    fn := compiledLookup("^",sig,dollar)
-;  -- NEW COMPILER COMPATIBILITY OFF
-;  fn = nil =>
-;    keyedSystemError("S2NR0001",[op,formatSignature sig,dollar.0])
-;  fn
-
-(DEFUN |compiledLookupCheck| (|op| |sig| |dollar|)
-  (PROG (|fn|)
-    (RETURN
-      (PROGN
-        (SPADLET |fn| (|compiledLookup| |op| |sig| |dollar|))
-        (COND
-          ((AND (NULL |fn|) (BOOT-EQUAL |op| '^))
-           (SPADLET |fn| (|compiledLookup| '** |sig| |dollar|)))
-          ((AND (NULL |fn|) (BOOT-EQUAL |op| '**))
-           (SPADLET |fn| (|compiledLookup| '^ |sig| |dollar|)))
-          ('T NIL))
-        (COND
-          ((NULL |fn|)
-           (|keyedSystemError| 'S2NR0001
-               (CONS |op|
-                     (CONS (|formatSignature| |sig|)
-                           (CONS (ELT |dollar| 0) NIL)))))
-          ('T |fn|))))))
-
 ;--=======================================================
 ;--                 Lookup From Compiled Code
 ;--=======================================================
@@ -279,7 +32,7 @@
 ;   atom t =>
 ;     not INTEGERP t => t
 ;     t:= dom.t
-;     if PAIRP t then t:= NRTevalDomain t
+;     if CONSP t then t:= NRTevalDomain t
 ;     t.0
 ;   MEMQ(CAR t,'(Mapping Union Record _:)) =>
 ;      [CAR t,:[NRTreplaceLocalTypes(x,dom) for x in rest t]]
@@ -294,7 +47,7 @@
                 ((NULL (INTEGERP |t|)) |t|)
                 ('T (SPADLET |t| (ELT |dom| |t|))
                  (COND
-                   ((PAIRP |t|) (SPADLET |t| (|NRTevalDomain| |t|))))
+                   ((CONSP |t|) (SPADLET |t| (|NRTevalDomain| |t|))))
                  (ELT |t| 0))))
              ((member (CAR |t|) '(|Mapping| |Union| |Record| |:|))
               (CONS (CAR |t|)
@@ -393,13 +146,13 @@
                                           (|compareSig| |sig| |sig1|
                                            (ELT |dollar| 0) |domain|))
                                          NIL)
-                                        ((AND (PAIRP |code|)
+                                        ((AND (CONSP |code|)
                                           (EQ (QCAR |code|)
                                            '|subsumed|)
                                           (PROGN
                                             (SPADLET |ISTMP#1|
                                              (QCDR |code|))
-                                            (AND (PAIRP |ISTMP#1|)
+                                            (AND (CONSP |ISTMP#1|)
                                              (EQ (QCDR |ISTMP#1|) NIL)
                                              (PROGN
                                                (SPADLET |a|
@@ -470,6 +223,30 @@
                       (|lookupInAddChain| |op| |sig| |domain| |dollar|))
                   ('T NIL)))))))))
 
+;lookupDisplay(op,sig,vectorOrForm,suffix) ==
+;  null $NRTmonitorIfTrue => nil
+;  prefix := (suffix = '"" => ">"; "<")
+;  sayBrightly
+;    concat(prefix,formatOpSignature(op,sig),
+;        '" from ", prefix2String devaluateDeeply vectorOrForm,suffix)
+
+(DEFUN |lookupDisplay| (|op| |sig| |vectorOrForm| |suffix|)
+  (PROG (|prefix|)
+  (declare (special |$NRTmonitorIfTrue|))
+    (RETURN
+      (COND
+        ((NULL |$NRTmonitorIfTrue|) NIL)
+        ('T
+         (SPADLET |prefix|
+                  (COND
+                    ((BOOT-EQUAL |suffix| "") '>)
+                    ('T '<)))
+         (|sayBrightly|
+             (|concat| |prefix| (|formatOpSignature| |op| |sig|)
+                 " from "
+                 (|prefix2String| (|devaluateDeeply| |vectorOrForm|))
+                 |suffix|)))))))
+
 ;--=======================================================
 ;--       Lookup Addlist (from lookupInDomainTable or lookupInDomain)
 ;--=======================================================
@@ -509,14 +286,14 @@
   (PROG (|dom| |ISTMP#1| |packageName| |pname|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |op|)
+        ((NULL (AND (CONSP |op|)
                     (PROGN (SPADLET |dom| (QCDR |op|)) 'T)))
          NIL)
         ((NULL (VECP |dom|)) NIL)
         ((NULL (> (|#| |dom|) 0)) NIL)
         ((NULL (PROGN
                  (SPADLET |ISTMP#1| (ELT |dom| 0))
-                 (AND (PAIRP |ISTMP#1|)
+                 (AND (CONSP |ISTMP#1|)
                       (PROGN
                         (SPADLET |packageName| (QCAR |ISTMP#1|))
                         'T))))
@@ -535,48 +312,19 @@
 ;    if null VECP addFormCell then addFormCell := eval addFormCell
 ;    lookupInDomainVector(op,sig,addFormCell,dollar)
 ;  nil
-
-(DEFUN |lookupInDomain| (|op| |sig| |addFormDomain| |dollar| |index|)
-  (PROG (|addFormCell|)
-    (RETURN
-      (SEQ (COND
-             ((SPADLET |addFormCell| (ELT |addFormDomain| |index|))
-              (COND
-                ((INTEGERP (KAR |addFormCell|))
-                 (PROG (G166242)
-                   (SPADLET G166242 NIL)
-                   (RETURN
-                     (DO ((G166248 NIL G166242)
-                          (G166249 |addFormCell| (CDR G166249))
-                          (|i| NIL))
-                         ((OR G166248 (ATOM G166249)
-                              (PROGN (SETQ |i| (CAR G166249)) NIL))
-                          G166242)
-                       (SEQ (EXIT (SETQ G166242
-                                        (OR G166242
-                                         (|lookupInDomain| |op| |sig|
-                                          |addFormDomain| |dollar| |i|)))))))))
-                ('T
-                 (COND
-                   ((NULL (VECP |addFormCell|))
-                    (SPADLET |addFormCell| (|eval| |addFormCell|))))
-                 (|lookupInDomainVector| |op| |sig| |addFormCell|
-                     |dollar|))))
-             ('T NIL))))))
-
-;lookupInDomainVector(op,sig,domain,dollar) ==
-;  PAIRP domain => basicLookupCheckDefaults(op,sig,domain,domain)
-;  slot1 := domain.1
-;  SPADCALL(op,sig,dollar,slot1)
-
-(DEFUN |lookupInDomainVector| (|op| |sig| |domain| |dollar|)
-  (PROG (|slot1|)
-    (RETURN
-      (COND
-        ((PAIRP |domain|)
-         (|basicLookupCheckDefaults| |op| |sig| |domain| |domain|))
-        ('T (SPADLET |slot1| (ELT |domain| 1))
-         (SPADCALL |op| |sig| |dollar| |slot1|))))))
+(defun |lookupInDomain| (op sig addFormDomain dollar index)
+ (let (addFormCell)
+  (when (setq addFormCell (elt addFormDomain index))
+   (cond
+    ((integerp (kar addFormCell))
+     (let (result)
+      (loop for i in addFormCell
+       do (setq result 
+           (or result (|lookupInDomain| op sig addFormDomain dollar i))))
+      result))
+    (t
+     (unless (vecp addFormCell) (setq addFormCell (|eval| addFormCell)))
+     (|lookupInDomainVector| op sig addFormCell dollar))))))
 
 ;--=======================================================
 ;--       Category Default Lookup (from goGet or lookupInAddChain)
@@ -721,9 +469,9 @@
       (SEQ (COND
              ((BOOT-EQUAL |pred| 'T) 'T)
              ((BOOT-EQUAL |pred| '|asserted|) NIL)
-             ((OR (AND (PAIRP |pred|) (EQ (QCAR |pred|) 'AND)
+             ((OR (AND (CONSP |pred|) (EQ (QCAR |pred|) 'AND)
                        (PROGN (SPADLET |pl| (QCDR |pred|)) 'T))
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) '|and|)
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) '|and|)
                        (PROGN (SPADLET |pl| (QCDR |pred|)) 'T)))
               (PROG (G166385)
                 (SPADLET G166385 'T)
@@ -737,9 +485,9 @@
                                      (AND G166385
                                       (|lookupPred| |p| |dollar|
                                        |domain|)))))))))
-             ((OR (AND (PAIRP |pred|) (EQ (QCAR |pred|) 'OR)
+             ((OR (AND (CONSP |pred|) (EQ (QCAR |pred|) 'OR)
                        (PROGN (SPADLET |pl| (QCDR |pred|)) 'T))
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) '|or|)
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) '|or|)
                        (PROGN (SPADLET |pl| (QCDR |pred|)) 'T)))
               (PROG (G166399)
                 (SPADLET G166399 NIL)
@@ -753,44 +501,44 @@
                                      (OR G166399
                                       (|lookupPred| |p| |dollar|
                                        |domain|)))))))))
-             ((OR (AND (PAIRP |pred|) (EQ (QCAR |pred|) 'NOT)
+             ((OR (AND (CONSP |pred|) (EQ (QCAR |pred|) 'NOT)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |pred|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCDR |ISTMP#1|) NIL)
                               (PROGN
                                 (SPADLET |p| (QCAR |ISTMP#1|))
                                 'T))))
-                  (AND (PAIRP |pred|) (EQ (QCAR |pred|) '|not|)
+                  (AND (CONSP |pred|) (EQ (QCAR |pred|) '|not|)
                        (PROGN
                          (SPADLET |ISTMP#1| (QCDR |pred|))
-                         (AND (PAIRP |ISTMP#1|)
+                         (AND (CONSP |ISTMP#1|)
                               (EQ (QCDR |ISTMP#1|) NIL)
                               (PROGN
                                 (SPADLET |p| (QCAR |ISTMP#1|))
                                 'T)))))
               (NULL (|lookupPred| |p| |dollar| |domain|)))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|is|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|is|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |dom1| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |dom2| (QCAR |ISTMP#2|))
                                    'T))))))
               (|domainEqual| |dom1| |dom2|))
-             ((AND (PAIRP |pred|) (EQ (QCAR |pred|) '|has|)
+             ((AND (CONSP |pred|) (EQ (QCAR |pred|) '|has|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |pred|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |b| (QCAR |ISTMP#2|))
@@ -860,7 +608,7 @@
 
 ;lazyCompareSigEqual(s,tslot,dollar,domain) ==
 ;  tslot = '$ => s = tslot
-;  INTEGERP tslot and PAIRP(lazyt:=domain.tslot) and PAIRP s =>
+;  INTEGERP tslot and CONSP(lazyt:=domain.tslot) and CONSP s =>
 ;      lazyt is [.,.,.,[.,item,.]] and
 ;        item is [.,[functorName,:.]] and functorName = CAR s =>
 ;          compareSigEqual(s,(NRTevalDomain lazyt).0,dollar,domain)
@@ -874,43 +622,43 @@
       (COND
         ((BOOT-EQUAL |tslot| '$) (BOOT-EQUAL |s| |tslot|))
         ((AND (INTEGERP |tslot|)
-              (PAIRP (SPADLET |lazyt| (ELT |domain| |tslot|)))
-              (PAIRP |s|))
+              (CONSP (SPADLET |lazyt| (ELT |domain| |tslot|)))
+              (CONSP |s|))
          (COND
-           ((AND (PAIRP |lazyt|)
+           ((AND (CONSP |lazyt|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |lazyt|))
-                   (AND (PAIRP |ISTMP#1|)
+                   (AND (CONSP |ISTMP#1|)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                 (AND (PAIRP |ISTMP#3|)
+                                 (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL)
                                       (PROGN
                                         (SPADLET |ISTMP#4|
                                          (QCAR |ISTMP#3|))
-                                        (AND (PAIRP |ISTMP#4|)
+                                        (AND (CONSP |ISTMP#4|)
                                          (PROGN
                                            (SPADLET |ISTMP#5|
                                             (QCDR |ISTMP#4|))
-                                           (AND (PAIRP |ISTMP#5|)
+                                           (AND (CONSP |ISTMP#5|)
                                             (PROGN
                                               (SPADLET |item|
                                                (QCAR |ISTMP#5|))
                                               (SPADLET |ISTMP#6|
                                                (QCDR |ISTMP#5|))
-                                              (AND (PAIRP |ISTMP#6|)
+                                              (AND (CONSP |ISTMP#6|)
                                                (EQ (QCDR |ISTMP#6|)
                                                 NIL)))))))))))))
-                 (PAIRP |item|)
+                 (CONSP |item|)
                  (PROGN
                    (SPADLET |ISTMP#1| (QCDR |item|))
-                   (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                   (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                         (PROGN
                           (SPADLET |ISTMP#2| (QCAR |ISTMP#1|))
-                          (AND (PAIRP |ISTMP#2|)
+                          (AND (CONSP |ISTMP#2|)
                                (PROGN
                                  (SPADLET |functorName|
                                           (QCAR |ISTMP#2|))
@@ -1229,7 +977,7 @@
   (declare (special |$minivector| |$Integer|))
     (RETURN
       (SEQ (COND
-             ((NULL (AND (PAIRP |body|) (EQ (QCAR |body|) 'COND)
+             ((NULL (AND (CONSP |body|) (EQ (QCAR |body|) 'COND)
                          (PROGN (SPADLET |pcl| (QCDR |body|)) 'T)))
               NIL)
              ('T
@@ -1246,7 +994,7 @@
                                 (NREVERSE0 G167057))
                              (SEQ (EXIT (COND
                                           ((NULL
-                                            (AND (PAIRP |x|)
+                                            (AND (CONSP |x|)
                                              (EQUAL (QCAR |x|) ''T)
                                              (PROGN
                                                (SPADLET |mess|
@@ -1281,34 +1029,34 @@
                          NIL))
                    NIL)
                 (SEQ (EXIT (COND
-                             ((AND (PAIRP |p|)
+                             ((AND (CONSP |p|)
                                    (EQ (QCAR |p|) 'SPADCALL)
                                    (PROGN
                                      (SPADLET |ISTMP#1| (QCDR |p|))
-                                     (AND (PAIRP |ISTMP#1|)
+                                     (AND (CONSP |ISTMP#1|)
                                       (PROGN
                                         (SPADLET |sharpVar|
                                          (QCAR |ISTMP#1|))
                                         (SPADLET |ISTMP#2|
                                          (QCDR |ISTMP#1|))
-                                        (AND (PAIRP |ISTMP#2|)
+                                        (AND (CONSP |ISTMP#2|)
                                          (PROGN
                                            (SPADLET |n1|
                                             (QCAR |ISTMP#2|))
                                            (SPADLET |ISTMP#3|
                                             (QCDR |ISTMP#2|))
-                                           (AND (PAIRP |ISTMP#3|)
+                                           (AND (CONSP |ISTMP#3|)
                                             (EQ (QCDR |ISTMP#3|) NIL)
                                             (PROGN
                                               (SPADLET |ISTMP#4|
                                                (QCAR |ISTMP#3|))
-                                              (AND (PAIRP |ISTMP#4|)
+                                              (AND (CONSP |ISTMP#4|)
                                                (EQ (QCAR |ISTMP#4|)
                                                 'ELT)
                                                (PROGN
                                                  (SPADLET |ISTMP#5|
                                                   (QCDR |ISTMP#4|))
-                                                 (AND (PAIRP |ISTMP#5|)
+                                                 (AND (CONSP |ISTMP#5|)
                                                   (EQUAL
                                                    (QCAR |ISTMP#5|)
                                                    |minivectorName|)
@@ -1316,7 +1064,7 @@
                                                     (SPADLET |ISTMP#6|
                                                      (QCDR |ISTMP#5|))
                                                     (AND
-                                                     (PAIRP |ISTMP#6|)
+                                                     (CONSP |ISTMP#6|)
                                                      (EQ
                                                       (QCDR |ISTMP#6|)
                                                       NIL)
@@ -1339,23 +1087,23 @@
                                        (CONS (CONS |p| (CONS |c| NIL))
                                         |miscList|)))))))
               (COND
-                ((OR (NULL (AND (PAIRP |miscList|)
+                ((OR (NULL (AND (CONSP |miscList|)
                                 (EQ (QCDR |miscList|) NIL)
                                 (PROGN
                                   (SPADLET |ISTMP#1| (QCAR |miscList|))
-                                  (AND (PAIRP |ISTMP#1|)
+                                  (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |generalPred|
                                           (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCDR |ISTMP#2|) NIL)
                                           (PROGN
                                             (SPADLET |generalTerm|
                                              (QCAR |ISTMP#2|))
                                             'T)))))))
-                     (NULL (AND (PAIRP |sharpList|)
+                     (NULL (AND (CONSP |sharpList|)
                                 (EQ (QCDR |sharpList|) NIL)
                                 (PROGN
                                   (SPADLET |sharpArg|
@@ -1450,35 +1198,35 @@
                        (SPADLET |predOk|
                                 (COND
                                   ((EQUAL |generalPred| ''T) 'T)
-                                  ((AND (PAIRP |generalPred|)
+                                  ((AND (CONSP |generalPred|)
                                     (EQ (QCAR |generalPred|) 'SPADCALL)
                                     (PROGN
                                       (SPADLET |ISTMP#1|
                                        (QCDR |generalPred|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |m| (QCAR |ISTMP#1|))
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQUAL (QCAR |ISTMP#2|)
                                            |sharpArg|)
                                           (PROGN
                                             (SPADLET |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQ (QCDR |ISTMP#3|) NIL)
                                              (PROGN
                                                (SPADLET |ISTMP#4|
                                                 (QCAR |ISTMP#3|))
-                                               (AND (PAIRP |ISTMP#4|)
+                                               (AND (CONSP |ISTMP#4|)
                                                 (EQ (QCAR |ISTMP#4|)
                                                  'ELT)
                                                 (PROGN
                                                   (SPADLET |ISTMP#5|
                                                    (QCDR |ISTMP#4|))
                                                   (AND
-                                                   (PAIRP |ISTMP#5|)
+                                                   (CONSP |ISTMP#5|)
                                                    (EQUAL
                                                     (QCAR |ISTMP#5|)
                                                     |minivectorName|)
@@ -1486,7 +1234,7 @@
                                                      (SPADLET |ISTMP#6|
                                                       (QCDR |ISTMP#5|))
                                                      (AND
-                                                      (PAIRP |ISTMP#6|)
+                                                      (CONSP |ISTMP#6|)
                                                       (EQ
                                                        (QCDR |ISTMP#6|)
                                                        NIL)
@@ -1498,42 +1246,42 @@
                                     (EQ |lesspSlot|
                                      (ELT |$minivector| |slot|)))
                                    (PLUS |m| 1))
-                                  ((AND (PAIRP |generalPred|)
+                                  ((AND (CONSP |generalPred|)
                                     (EQ (QCAR |generalPred|) 'SPADCALL)
                                     (PROGN
                                       (SPADLET |ISTMP#1|
                                        (QCDR |generalPred|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |ISTMP#2|
                                           (QCAR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCAR |ISTMP#2|)
                                            'SPADCALL)
                                           (PROGN
                                             (SPADLET |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQUAL (QCAR |ISTMP#3|)
                                               |sharpArg|)
                                              (PROGN
                                                (SPADLET |ISTMP#4|
                                                 (QCDR |ISTMP#3|))
-                                               (AND (PAIRP |ISTMP#4|)
+                                               (AND (CONSP |ISTMP#4|)
                                                 (PROGN
                                                   (SPADLET |m|
                                                    (QCAR |ISTMP#4|))
                                                   (SPADLET |ISTMP#5|
                                                    (QCDR |ISTMP#4|))
                                                   (AND
-                                                   (PAIRP |ISTMP#5|)
+                                                   (CONSP |ISTMP#5|)
                                                    (EQ (QCDR |ISTMP#5|)
                                                     NIL)
                                                    (PROGN
                                                      (SPADLET |ISTMP#6|
                                                       (QCAR |ISTMP#5|))
                                                      (AND
-                                                      (PAIRP |ISTMP#6|)
+                                                      (CONSP |ISTMP#6|)
                                                       (EQ
                                                        (QCAR |ISTMP#6|)
                                                        'ELT)
@@ -1543,7 +1291,7 @@
                                                          (QCDR
                                                           |ISTMP#6|))
                                                         (AND
-                                                         (PAIRP
+                                                         (CONSP
                                                           |ISTMP#7|)
                                                          (EQUAL
                                                           (QCAR
@@ -1555,7 +1303,7 @@
                                                             (QCDR
                                                              |ISTMP#7|))
                                                            (AND
-                                                            (PAIRP
+                                                            (CONSP
                                                              |ISTMP#8|)
                                                             (EQ
                                                              (QCDR
@@ -1570,18 +1318,18 @@
                                        (PROGN
                                          (SPADLET |ISTMP#9|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#9|)
+                                         (AND (CONSP |ISTMP#9|)
                                           (EQ (QCDR |ISTMP#9|) NIL)
                                           (PROGN
                                             (SPADLET |ISTMP#10|
                                              (QCAR |ISTMP#9|))
-                                            (AND (PAIRP |ISTMP#10|)
+                                            (AND (CONSP |ISTMP#10|)
                                              (EQ (QCAR |ISTMP#10|)
                                               'ELT)
                                              (PROGN
                                                (SPADLET |ISTMP#11|
                                                 (QCDR |ISTMP#10|))
-                                               (AND (PAIRP |ISTMP#11|)
+                                               (AND (CONSP |ISTMP#11|)
                                                 (EQUAL
                                                  (QCAR |ISTMP#11|)
                                                  |minivectorName|)
@@ -1589,7 +1337,7 @@
                                                   (SPADLET |ISTMP#12|
                                                    (QCDR |ISTMP#11|))
                                                   (AND
-                                                   (PAIRP |ISTMP#12|)
+                                                   (CONSP |ISTMP#12|)
                                                    (EQ
                                                     (QCDR |ISTMP#12|)
                                                     NIL)
@@ -1602,43 +1350,43 @@
                                     (EQ |notpSlot|
                                      (ELT |$minivector| |notSlot|)))
                                    |m|)
-                                  ((AND (PAIRP |generalPred|)
+                                  ((AND (CONSP |generalPred|)
                                     (EQ (QCAR |generalPred|) 'NOT)
                                     (PROGN
                                       (SPADLET |ISTMP#1|
                                        (QCDR |generalPred|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (EQ (QCDR |ISTMP#1|) NIL)
                                        (PROGN
                                          (SPADLET |ISTMP#2|
                                           (QCAR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCAR |ISTMP#2|)
                                            'SPADCALL)
                                           (PROGN
                                             (SPADLET |ISTMP#3|
                                              (QCDR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQUAL (QCAR |ISTMP#3|)
                                               |sharpArg|)
                                              (PROGN
                                                (SPADLET |ISTMP#4|
                                                 (QCDR |ISTMP#3|))
-                                               (AND (PAIRP |ISTMP#4|)
+                                               (AND (CONSP |ISTMP#4|)
                                                 (PROGN
                                                   (SPADLET |m|
                                                    (QCAR |ISTMP#4|))
                                                   (SPADLET |ISTMP#5|
                                                    (QCDR |ISTMP#4|))
                                                   (AND
-                                                   (PAIRP |ISTMP#5|)
+                                                   (CONSP |ISTMP#5|)
                                                    (EQ (QCDR |ISTMP#5|)
                                                     NIL)
                                                    (PROGN
                                                      (SPADLET |ISTMP#6|
                                                       (QCAR |ISTMP#5|))
                                                      (AND
-                                                      (PAIRP |ISTMP#6|)
+                                                      (CONSP |ISTMP#6|)
                                                       (EQ
                                                        (QCAR |ISTMP#6|)
                                                        'ELT)
@@ -1648,7 +1396,7 @@
                                                          (QCDR
                                                           |ISTMP#6|))
                                                         (AND
-                                                         (PAIRP
+                                                         (CONSP
                                                           |ISTMP#7|)
                                                          (EQUAL
                                                           (QCAR
@@ -1660,7 +1408,7 @@
                                                             (QCDR
                                                              |ISTMP#7|))
                                                            (AND
-                                                            (PAIRP
+                                                            (CONSP
                                                              |ISTMP#8|)
                                                             (EQ
                                                              (QCDR
@@ -1788,7 +1536,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |body|) NIL)
-             ((AND (PAIRP |body|) (EQ (QCAR |body|) 'COND)
+             ((AND (CONSP |body|) (EQ (QCAR |body|) 'COND)
                    (PROGN (SPADLET |pl| (QCDR |body|)) 'T))
               (PROG (G167351)
                 (SPADLET G167351 NIL)
@@ -1811,7 +1559,7 @@
                                       (|mkDiffAssoc| |op| |c| |k|
                                        |sharpPosition| |sharpArg|
                                        |diffSlot| |vecname|)))))))))
-             ((AND (PAIRP |body|)
+             ((AND (CONSP |body|)
                    (PROGN
                      (SPADLET |fn| (QCAR |body|))
                      (SPADLET |argl| (QCDR |body|))
@@ -1823,38 +1571,38 @@
                                  (ELT |argl|
                                       (SPADDIFFERENCE |sharpPosition|
                                        1)))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) 'SPADCALL)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQUAL (QCAR |ISTMP#2|) |sharpArg|)
                                     (PROGN
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (PROGN
                                          (SPADLET |n| (QCAR |ISTMP#3|))
                                          (SPADLET |ISTMP#4|
                                           (QCDR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
+                                         (AND (CONSP |ISTMP#4|)
                                           (EQ (QCDR |ISTMP#4|) NIL)
                                           (PROGN
                                             (SPADLET |ISTMP#5|
                                              (QCAR |ISTMP#4|))
-                                            (AND (PAIRP |ISTMP#5|)
+                                            (AND (CONSP |ISTMP#5|)
                                              (EQ (QCAR |ISTMP#5|) 'ELT)
                                              (PROGN
                                                (SPADLET |ISTMP#6|
                                                 (QCDR |ISTMP#5|))
-                                               (AND (PAIRP |ISTMP#6|)
+                                               (AND (CONSP |ISTMP#6|)
                                                 (EQUAL (QCAR |ISTMP#6|)
                                                  |vecname|)
                                                 (PROGN
                                                   (SPADLET |ISTMP#7|
                                                    (QCDR |ISTMP#6|))
                                                   (AND
-                                                   (PAIRP |ISTMP#7|)
+                                                   (CONSP |ISTMP#7|)
                                                    (EQ (QCDR |ISTMP#7|)
                                                     NIL)
                                                    (EQUAL
diff -Nru axiom-20110301a/src/interp/nrunopt.lisp.pamphlet axiom-20111101/src/interp/nrunopt.lisp.pamphlet
--- axiom-20110301a/src/interp/nrunopt.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nrunopt.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -55,7 +55,7 @@
   (declare (special |$byteVec|))
     (RETURN
       (SEQ (PROGN
-             (SPADLET |newVec| (GETREFV (SIZE |vec|)))
+             (SPADLET |newVec| (make-array (SIZE |vec|)))
              (DO ((G166069 (MAXINDEX |vec|))
                   (|index| 0 (QSADD1 |index|)))
                  ((QSGREATERP |index| G166069) NIL)
@@ -254,13 +254,13 @@
                                         (|makeCompactSigCode| |sig|
                                          |$isOpPackageName|)
                                         (CONS 0 NIL))))))))
-           (IF (AND (PAIRP |r|)
+           (IF (AND (CONSP |r|)
                     (PROGN
                       (SPADLET |n| (QCAR |r|))
                       (SPADLET |s| (QCDR |r|))
                       'T))
                (SEQ (SPADLET |slot|
-                             (SEQ (IF (AND (PAIRP |n|)
+                             (SEQ (IF (AND (CONSP |n|)
                                        (PROGN
                                          (SPADLET |p| (QCAR |n|))
                                          'T))
@@ -269,7 +269,7 @@
                     (EXIT (SPADLET |predCode|
                                    (SEQ
                                     (IF
-                                     (AND (PAIRP |s|)
+                                     (AND (CONSP |s|)
                                       (PROGN
                                         (SPADLET |pred| (QCAR |s|))
                                         'T))
@@ -353,18 +353,18 @@
                   NIL)
                (SEQ (EXIT (COND
                             ((AND (NULL (member |$op| '(|Zero| |One|)))
-                                  (PAIRP |x|)
+                                  (CONSP |x|)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |x|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (PROGN
                                           (SPADLET |ISTMP#3|
                                            (QCDR |ISTMP#2|))
-                                          (AND (PAIRP |ISTMP#3|)
+                                          (AND (CONSP |ISTMP#3|)
                                            (EQ (QCDR |ISTMP#3|) NIL)
                                            (EQ (QCAR |ISTMP#3|)
                                             '|Subsumed|))))))))
@@ -577,36 +577,36 @@
               (COND
                 ((ATOM |item|)
                  (CONS (SYMBOL-FUNCTION |item|) |dollar|))
-                ((AND (PAIRP |item|)
+                ((AND (CONSP |item|)
                       (PROGN
                         (SPADLET |n| (QCAR |item|))
                         (SPADLET |op| (QCDR |item|))
                         'T)
                       (INTEGERP |n|))
                  (CONS '|newGoGet| (CONS |dollar| |item|)))
-                ((AND (PAIRP |item|) (EQ (QCAR |item|) 'CONS)
+                ((AND (CONSP |item|) (EQ (QCAR |item|) 'CONS)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |item|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |ISTMP#3|
                                        (QCAR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCAR |ISTMP#3|) 'FUNCALL)
                                        (PROGN
                                          (SPADLET |ISTMP#4|
                                           (QCDR |ISTMP#3|))
-                                         (AND (PAIRP |ISTMP#4|)
+                                         (AND (CONSP |ISTMP#4|)
                                           (PROGN
                                             (SPADLET |a|
                                              (QCAR |ISTMP#4|))
                                             (SPADLET |ISTMP#5|
                                              (QCDR |ISTMP#4|))
-                                            (AND (PAIRP |ISTMP#5|)
+                                            (AND (CONSP |ISTMP#5|)
                                              (EQ (QCDR |ISTMP#5|) NIL)
                                              (PROGN
                                                (SPADLET |b|
@@ -698,10 +698,10 @@
   (declare (special |$NRTslot1PredicateList|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |al|)
+             ((AND (CONSP |al|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCAR |al|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |a| (QCAR |ISTMP#1|))
                             (SPADLET |b| (QCDR |ISTMP#1|))
@@ -719,7 +719,7 @@
                                       NIL))
                                 (NREVERSE0 G166536))
                              (SEQ (EXIT (COND
-                                          ((AND (PAIRP |x|)
+                                          ((AND (CONSP |x|)
                                             (EQUAL (QCAR |x|) |a|)
                                             (PROGN
                                               (SPADLET |b| (QCDR |x|))
@@ -751,7 +751,7 @@
                                 (SEQ (EXIT
                                       (COND
                                         ((NULL
-                                          (AND (PAIRP |x|)
+                                          (AND (CONSP |x|)
                                            (EQUAL (QCAR |x|) |a|)
                                            (PROGN
                                              (SPADLET |b| (QCDR |x|))
@@ -828,7 +828,7 @@
   (declare (special |$NRTattributeAlist|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |p|)
+             ((AND (CONSP |p|)
                    (PROGN
                      (SPADLET |op| (QCAR |p|))
                      (SPADLET |argl| (QCDR |p|))
@@ -851,22 +851,22 @@
                                          (|predicateBitIndexRemop| |x|)
                                          G166657)))))))
                       |op|)))
-             ((AND (PAIRP |p|) (EQ (QCAR |p|) '|has|)
+             ((AND (CONSP |p|) (EQ (QCAR |p|) '|has|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |p|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '$)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '$)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCAR |ISTMP#3|) 'ATTRIBUTE)
                                     (PROGN
                                       (SPADLET |ISTMP#4|
                                        (QCDR |ISTMP#3|))
-                                      (AND (PAIRP |ISTMP#4|)
+                                      (AND (CONSP |ISTMP#4|)
                                        (EQ (QCDR |ISTMP#4|) NIL)
                                        (PROGN
                                          (SPADLET |a| (QCAR |ISTMP#4|))
@@ -1037,7 +1037,7 @@
   (PROG (|op| |r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pred|)
+             ((AND (CONSP |pred|)
                    (PROGN
                      (SPADLET |op| (QCAR |pred|))
                      (SPADLET |r| (QCDR |pred|))
@@ -1069,7 +1069,7 @@
   (PROG (|op| |r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |pred|)
+             ((AND (CONSP |pred|)
                    (PROGN
                      (SPADLET |op| (QCAR |pred|))
                      (SPADLET |r| (QCDR |pred|))
@@ -1121,7 +1121,7 @@
   (PROG (|op| |argl| |ISTMP#1| |ISTMP#2| |ISTMP#3| |ISTMP#4| |a|)
   (declare (special |$NRTattributeAlist|))
     (RETURN
-      (SEQ (IF (AND (AND (PAIRP |p|)
+      (SEQ (IF (AND (AND (CONSP |p|)
                          (PROGN
                            (SPADLET |op| (QCAR |p|))
                            (SPADLET |argl| (QCDR |p|))
@@ -1129,23 +1129,23 @@
                     (|member| |op| '(AND |and| OR |or| NOT |not|)))
                (EXIT (|makePrefixForm|
                          (|removeAttributePredicates,fnl| |argl|) |op|)))
-           (IF (AND (PAIRP |p|) (EQ (QCAR |p|) '|has|)
+           (IF (AND (CONSP |p|) (EQ (QCAR |p|) '|has|)
                     (PROGN
                       (SPADLET |ISTMP#1| (QCDR |p|))
-                      (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '$)
+                      (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) '$)
                            (PROGN
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (PROGN
                                     (SPADLET |ISTMP#3|
                                      (QCAR |ISTMP#2|))
-                                    (AND (PAIRP |ISTMP#3|)
+                                    (AND (CONSP |ISTMP#3|)
                                      (EQ (QCAR |ISTMP#3|) 'ATTRIBUTE)
                                      (PROGN
                                        (SPADLET |ISTMP#4|
                                         (QCDR |ISTMP#3|))
-                                       (AND (PAIRP |ISTMP#4|)
+                                       (AND (CONSP |ISTMP#4|)
                                         (EQ (QCDR |ISTMP#4|) NIL)
                                         (PROGN
                                           (SPADLET |a|
@@ -1669,7 +1669,7 @@
     (RETURN
       (SEQ (COND
              ((SPADLET |y| (HGET |$depthAssocCache| |x|)) |y|)
-             ((OR (AND (PAIRP |x|) (EQ (QCAR |x|) '|Join|)
+             ((OR (AND (CONSP |x|) (EQ (QCAR |x|) '|Join|)
                        (PROGN (SPADLET |u| (QCDR |x|)) 'T))
                   (SPADLET |u| (|getCatAncestors| |x|)))
               (SPADLET |v| (|depthAssocList| |u|))
@@ -1730,7 +1730,7 @@
     (RETURN
       (SEQ (COND
              ((ATOM |form|) |form|)
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN
                      (SPADLET |op| (QCAR |form|))
                      (SPADLET |l| (QCDR |form|))
@@ -1754,7 +1754,7 @@
                 ((AND (BOOT-EQUAL |op| 'ATTRIBUTE)
                       (PROGN
                         (SPADLET |ISTMP#1| (CAR |l|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN (SPADLET |f| (QCAR |ISTMP#1|)) 'T)))
                       (|constructor?| |f|))
                  (CONS (CAR |l|) NIL))
@@ -1784,10 +1784,10 @@
     (RETURN
       (COND
         ((NULL |l|) NIL)
-        ((AND (PAIRP |l|)
+        ((AND (CONSP |l|)
               (PROGN
                 (SPADLET |ISTMP#1| (QCAR |l|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |op| (QCAR |ISTMP#1|))
                        (SPADLET |u| (QCDR |ISTMP#1|))
@@ -1798,22 +1798,22 @@
                     ((AND (BOOT-EQUAL |op| 'ATTRIBUTE)
                           (PROGN
                             (SPADLET |ISTMP#1| (CAR |u|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |f| (QCAR |ISTMP#1|))
                                    'T)))
                           (|constructor?| |f|))
                      (CONS (CAR |u|) NIL))
                     ((member |op| '(ATTRIBUTE SIGNATURE)) NIL)
-                    ((AND (BOOT-EQUAL |op| 'IF) (PAIRP |u|)
+                    ((AND (BOOT-EQUAL |op| 'IF) (CONSP |u|)
                           (PROGN
                             (SPADLET |pred| (QCAR |u|))
                             (SPADLET |ISTMP#1| (QCDR |u|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |conseq| (QCAR |ISTMP#1|))
                                    (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                                   (AND (PAIRP |ISTMP#2|)
+                                   (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |alternate|
@@ -1823,7 +1823,7 @@
                          |alternate|))
                     ('T (|categoryFormatError|))))
          (APPEND |firstItemList| (|listOfCategoryEntries| |v|)))
-        ((AND (PAIRP |l|) (EQ (QCAR |l|) 'PROGN)
+        ((AND (CONSP |l|) (EQ (QCAR |l|) 'PROGN)
               (PROGN (SPADLET |l| (QCDR |l|)) 'T))
          (|listOfCategoryEntries| |l|))
         ((EQUAL |l| '(NIL)) NIL)
@@ -1851,19 +1851,19 @@
       (SEQ (COND
              ((|member| |alternate| '(|noBranch| NIL))
               (COND
-                ((AND (PAIRP |conseq|) (EQ (QCAR |conseq|) 'IF)
+                ((AND (CONSP |conseq|) (EQ (QCAR |conseq|) 'IF)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |conseq|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |p| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#2|))
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL)
                                        (PROGN
                                          (SPADLET |a| (QCAR |ISTMP#3|))
@@ -1885,19 +1885,19 @@
                        (SEQ (EXIT (SETQ G167520
                                         (CONS
                                          (COND
-                                           ((AND (PAIRP |x|)
+                                           ((AND (CONSP |x|)
                                              (EQ (QCAR |x|) 'IF)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |x|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |a|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -1918,19 +1918,19 @@
                                          G167520))))))))))
              ('T (SPADLET |notPred| (|makePrefixForm| |pred| 'NOT))
               (COND
-                ((AND (PAIRP |conseq|) (EQ (QCAR |conseq|) 'IF)
+                ((AND (CONSP |conseq|) (EQ (QCAR |conseq|) 'IF)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |conseq|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |p| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (PROGN
                                       (SPADLET |c| (QCAR |ISTMP#2|))
                                       (SPADLET |ISTMP#3|
                                        (QCDR |ISTMP#2|))
-                                      (AND (PAIRP |ISTMP#3|)
+                                      (AND (CONSP |ISTMP#3|)
                                        (EQ (QCDR |ISTMP#3|) NIL)
                                        (PROGN
                                          (SPADLET |a| (QCAR |ISTMP#3|))
@@ -1952,19 +1952,19 @@
                        (SEQ (EXIT (SETQ G167549
                                         (CONS
                                          (COND
-                                           ((AND (PAIRP |x|)
+                                           ((AND (CONSP |x|)
                                              (EQ (QCAR |x|) 'IF)
                                              (PROGN
                                                (SPADLET |ISTMP#1|
                                                 (QCDR |x|))
-                                               (AND (PAIRP |ISTMP#1|)
+                                               (AND (CONSP |ISTMP#1|)
                                                 (PROGN
                                                   (SPADLET |a|
                                                    (QCAR |ISTMP#1|))
                                                   (SPADLET |ISTMP#2|
                                                    (QCDR |ISTMP#1|))
                                                   (AND
-                                                   (PAIRP |ISTMP#2|)
+                                                   (CONSP |ISTMP#2|)
                                                    (EQ (QCDR |ISTMP#2|)
                                                     NIL)
                                                    (PROGN
@@ -2062,7 +2062,7 @@
                             (|sayBrightlyNT| (|bright| |i|))
                             (SPADLET |item| (ELT |template| |i|))
                             (COND
-                              ((AND (PAIRP |item|)
+                              ((AND (CONSP |item|)
                                     (PROGN
                                       (SPADLET |n| (QCAR |item|))
                                       (SPADLET |op| (QCDR |item|))
@@ -2081,36 +2081,36 @@
                                (|sayBrightly|
                                    (CONS "fun  "
                                     (CONS |item| NIL))))
-                              ((AND (PAIRP |item|)
+                              ((AND (CONSP |item|)
                                     (EQ (QCAR |item|) 'CONS)
                                     (PROGN
                                       (SPADLET |ISTMP#1| (QCDR |item|))
-                                      (AND (PAIRP |ISTMP#1|)
+                                      (AND (CONSP |ISTMP#1|)
                                        (PROGN
                                          (SPADLET |ISTMP#2|
                                           (QCDR |ISTMP#1|))
-                                         (AND (PAIRP |ISTMP#2|)
+                                         (AND (CONSP |ISTMP#2|)
                                           (EQ (QCDR |ISTMP#2|) NIL)
                                           (PROGN
                                             (SPADLET |ISTMP#3|
                                              (QCAR |ISTMP#2|))
-                                            (AND (PAIRP |ISTMP#3|)
+                                            (AND (CONSP |ISTMP#3|)
                                              (EQ (QCAR |ISTMP#3|)
                                               'FUNCALL)
                                              (PROGN
                                                (SPADLET |ISTMP#4|
                                                 (QCDR |ISTMP#3|))
-                                               (AND (PAIRP |ISTMP#4|)
+                                               (AND (CONSP |ISTMP#4|)
                                                 (PROGN
                                                   (SPADLET |ISTMP#5|
                                                    (QCAR |ISTMP#4|))
                                                   (AND
-                                                   (PAIRP |ISTMP#5|)
+                                                   (CONSP |ISTMP#5|)
                                                    (PROGN
                                                      (SPADLET |ISTMP#6|
                                                       (QCDR |ISTMP#5|))
                                                      (AND
-                                                      (PAIRP |ISTMP#6|)
+                                                      (CONSP |ISTMP#6|)
                                                       (EQ
                                                        (QCDR |ISTMP#6|)
                                                        NIL)
@@ -2123,7 +2123,7 @@
                                                   (SPADLET |ISTMP#7|
                                                    (QCDR |ISTMP#4|))
                                                   (AND
-                                                   (PAIRP |ISTMP#7|)
+                                                   (CONSP |ISTMP#7|)
                                                    (EQ (QCDR |ISTMP#7|)
                                                     NIL)
                                                    (PROGN
@@ -2252,10 +2252,10 @@
                        NIL))
                 ('T (|formatSlotDomain| |val|))))
              ((ATOM |x|) |x|)
-             ((AND (PAIRP |x|) (EQ (QCAR |x|) 'NRTEVAL)
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'NRTEVAL)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |x|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
               (COND ((ATOM |y|) (CONS |y| NIL)) ('T |y|)))
              ('T
@@ -2617,7 +2617,7 @@
 ;  sayBrightly '"Operation data from slot 1"
 ;  PRINT_-FULL $infovec.1
 ;  vec := getCodeVector()
-;  vec := (PAIRP vec => CDR vec; vec)
+;  vec := (CONSP vec => CDR vec; vec)
 ;  sayBrightly ['"Information vector has ",SIZE vec,'" entries"]
 ;  dcData1 vec
 
@@ -2631,7 +2631,7 @@
         (|sayBrightly| "Operation data from slot 1")
         (PRINT-FULL (ELT |$infovec| 1))
         (SPADLET |vec| (|getCodeVector|))
-        (SPADLET |vec| (COND ((PAIRP |vec|) (CDR |vec|)) ('T |vec|)))
+        (SPADLET |vec| (COND ((CONSP |vec|) (CDR |vec|)) ('T |vec|)))
         (|sayBrightly|
             (CONS "Information vector has "
                   (CONS (SIZE |vec|)
@@ -3153,55 +3153,6 @@
                                              |sig|)
                                             |suffix|)))))))))))))))
 
-;
-;--=======================================================================
-;--              Compute the lookup function (complete or incomplete)
-;--=======================================================================
-;NRTgetLookupFunction(domform,exCategory,addForm) ==
-;  domform := SUBLIS($pairlis,domform)
-;  addForm := SUBLIS($pairlis,addForm)
-;  $why: local := nil
-;  atom addForm => 'lookupComplete
-;  extends := NRTextendsCategory1(domform,exCategory,getExportCategory addForm)
-;  if null extends then
-;    [u,msg,:v] := $why
-;    sayBrightly '"--------------non extending category----------------------"
-;    sayBrightlyNT ['"..",:bright form2String domform,"of cat "]
-;    PRINT u
-;    sayBrightlyNT bright msg
-;    if v then PRINT CAR v else TERPRI()
-;  extends => 'lookupIncomplete
-;  'lookupComplete
-
-(DEFUN |NRTgetLookupFunction| (|domform| |exCategory| |addForm|)
-  (PROG (|$why| |extends| |u| |msg| |v|)
-    (DECLARE (SPECIAL |$why| |$pairlis|))
-    (RETURN
-      (PROGN
-        (SPADLET |domform| (SUBLIS |$pairlis| |domform|))
-        (SPADLET |addForm| (SUBLIS |$pairlis| |addForm|))
-        (SPADLET |$why| NIL)
-        (COND
-          ((ATOM |addForm|) '|lookupComplete|)
-          ('T
-           (SPADLET |extends|
-                    (|NRTextendsCategory1| |domform| |exCategory|
-                        (|getExportCategory| |addForm|)))
-           (COND
-             ((NULL |extends|) (SPADLET |u| (CAR |$why|))
-              (SPADLET |msg| (CADR |$why|)) (SPADLET |v| (CDDR |$why|))
-              (|sayBrightly|
-                                   "--------------non extending category----------------------")
-              (|sayBrightlyNT|
-                  (CONS ".."
-                        (APPEND (|bright| (|form2String| |domform|))
-                                (CONS '|of cat | NIL))))
-              (PRINT |u|) (|sayBrightlyNT| (|bright| |msg|))
-              (COND (|v| (PRINT (CAR |v|))) ('T (TERPRI)))))
-           (COND
-             (|extends| '|lookupIncomplete|)
-             ('T '|lookupComplete|))))))))
-
 ;getExportCategory form ==
 ;  [op,:argl] := form
 ;  op = 'Record => ['RecordCategory,:argl]
@@ -3236,7 +3187,7 @@
   (PROG (|r|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |addForm|) (EQ (QCAR |addForm|) '|@Tuple|)
+             ((AND (CONSP |addForm|) (EQ (QCAR |addForm|) '|@Tuple|)
                    (PROGN (SPADLET |r| (QCDR |addForm|)) 'T))
               (PROG (G168278)
                 (SPADLET G168278 'T)
@@ -3275,7 +3226,7 @@
     (RETURN
       (SEQ (COND
              ((BOOT-EQUAL |u| |v|) 'T)
-             ((AND (PAIRP |v|) (EQ (QCAR |v|) '|Join|)
+             ((AND (CONSP |v|) (EQ (QCAR |v|) '|Join|)
                    (PROGN (SPADLET |l| (QCDR |v|)) 'T))
               (PROG (G168335)
                 (SPADLET G168335 'T)
@@ -3288,10 +3239,10 @@
                     (SEQ (EXIT (SETQ G168335
                                      (AND G168335
                                       (|extendsCategory| |dom| |u| |x|)))))))))
-             ((AND (PAIRP |v|) (EQ (QCAR |v|) 'CATEGORY)
+             ((AND (CONSP |v|) (EQ (QCAR |v|) 'CATEGORY)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |v|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
               (PROG (G168349)
                 (SPADLET G168349 'T)
@@ -3304,14 +3255,14 @@
                     (SEQ (EXIT (SETQ G168349
                                      (AND G168349
                                       (|extendsCategory| |dom| |u| |x|)))))))))
-             ((AND (PAIRP |v|) (EQ (QCAR |v|) '|SubsetCategory|)
+             ((AND (CONSP |v|) (EQ (QCAR |v|) '|SubsetCategory|)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |v|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |cat| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |d| (QCAR |ISTMP#2|))
@@ -3327,16 +3278,16 @@
                 ('T
                  (SPADLET |$why|
                           (COND
-                            ((AND (PAIRP |v|)
+                            ((AND (CONSP |v|)
                                   (EQ (QCAR |v|) 'SIGNATURE)
                                   (PROGN
                                     (SPADLET |ISTMP#1| (QCDR |v|))
-                                    (AND (PAIRP |ISTMP#1|)
+                                    (AND (CONSP |ISTMP#1|)
                                      (PROGN
                                        (SPADLET |op| (QCAR |ISTMP#1|))
                                        (SPADLET |ISTMP#2|
                                         (QCDR |ISTMP#1|))
-                                       (AND (PAIRP |ISTMP#2|)
+                                       (AND (CONSP |ISTMP#2|)
                                         (EQ (QCDR |ISTMP#2|) NIL)
                                         (PROGN
                                           (SPADLET |sig|
@@ -3369,29 +3320,29 @@
   (declare (special |$EmptyEnvironment|))
     (RETURN
       (COND
-        ((AND (PAIRP |v|) (EQ (QCAR |v|) 'IF)
+        ((AND (CONSP |v|) (EQ (QCAR |v|) 'IF)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |v|))
-                (AND (PAIRP |ISTMP#1|)
+                (AND (CONSP |ISTMP#1|)
                      (PROGN
                        (SPADLET |p| (QCAR |ISTMP#1|))
                        (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                       (AND (PAIRP |ISTMP#2|)
+                       (AND (CONSP |ISTMP#2|)
                             (PROGN
                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#3|)
+                              (AND (CONSP |ISTMP#3|)
                                    (EQ (QCAR |ISTMP#3|) 'ATTRIBUTE)
                                    (PROGN
                                      (SPADLET |ISTMP#4|
                                       (QCDR |ISTMP#3|))
-                                     (AND (PAIRP |ISTMP#4|)
+                                     (AND (CONSP |ISTMP#4|)
                                       (EQ (QCDR |ISTMP#4|) NIL)
                                       (PROGN
                                         (SPADLET |c| (QCAR |ISTMP#4|))
                                         'T)))))
                             (PROGN
                               (SPADLET |ISTMP#5| (QCDR |ISTMP#2|))
-                              (AND (PAIRP |ISTMP#5|)
+                              (AND (CONSP |ISTMP#5|)
                                    (EQ (QCDR |ISTMP#5|) NIL))))))))
          (SPADLET |uVec|
                   (CAR (|compMakeCategoryObject| |u|
@@ -3400,10 +3351,10 @@
            ((AND (NULL (ATOM |c|)) (|isCategoryForm| |c| NIL))
             (SPADLET |slot4| (ELT |uVec| 4))
             (SPADLET |ISTMP#1| (LASSOC |c| (CADR |slot4|)))
-            (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |p|)))
+            (AND (CONSP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |p|)))
            ('T (SPADLET |slot2| (ELT |uVec| 2))
             (SPADLET |ISTMP#1| (LASSOC |c| |slot2|))
-            (AND (PAIRP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |p|)))))
+            (AND (CONSP |ISTMP#1|) (EQUAL (QCAR |ISTMP#1|) |p|)))))
         ('T (|extendsCategoryBasic| |dom| |u| |v|))))))
 
 ;extendsCategoryBasic(dom,u,v) ==
@@ -3423,7 +3374,7 @@
   (declare (special |$EmptyEnvironment|))
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Join|)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) '|Join|)
                    (PROGN (SPADLET |l| (QCDR |u|)) 'T))
               (PROG (G168483)
                 (SPADLET G168483 NIL)
@@ -3445,14 +3396,14 @@
               (COND
                 ((|isCategoryForm| |v| NIL)
                  (|catExtendsCat?| |u| |v| |uVec|))
-                ((AND (PAIRP |v|) (EQ (QCAR |v|) 'SIGNATURE)
+                ((AND (CONSP |v|) (EQ (QCAR |v|) 'SIGNATURE)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |v|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |op| (QCAR |ISTMP#1|))
                                (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                               (AND (PAIRP |ISTMP#2|)
+                               (AND (CONSP |ISTMP#2|)
                                     (EQ (QCDR |ISTMP#2|) NIL)
                                     (PROGN
                                       (SPADLET |sig| (QCAR |ISTMP#2|))
@@ -3469,29 +3420,29 @@
                                          (PROGN
                                            (SPADLET |ISTMP#1|
                                             (ELT |uVec| |i|))
-                                           (AND (PAIRP |ISTMP#1|)
+                                           (AND (CONSP |ISTMP#1|)
                                             (PROGN
                                               (SPADLET |ISTMP#2|
                                                (QCAR |ISTMP#1|))
-                                              (AND (PAIRP |ISTMP#2|)
+                                              (AND (CONSP |ISTMP#2|)
                                                (EQUAL (QCAR |ISTMP#2|)
                                                 |op|)
                                                (PROGN
                                                  (SPADLET |ISTMP#3|
                                                   (QCDR |ISTMP#2|))
-                                                 (AND (PAIRP |ISTMP#3|)
+                                                 (AND (CONSP |ISTMP#3|)
                                                   (EQ (QCDR |ISTMP#3|)
                                                    NIL)
                                                   (EQUAL
                                                    (QCAR |ISTMP#3|)
                                                    |sig|)))))))))))))))
-                ((AND (PAIRP |u|) (EQ (QCAR |u|) 'CATEGORY)
+                ((AND (CONSP |u|) (EQ (QCAR |u|) 'CATEGORY)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |u|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN (SPADLET |l| (QCDR |ISTMP#1|)) 'T))))
                  (COND
-                   ((AND (PAIRP |v|) (EQ (QCAR |v|) 'IF))
+                   ((AND (CONSP |v|) (EQ (QCAR |v|) 'IF))
                     (|member| |v| |l|))
                    ('T NIL)))
                 ('T NIL))))))))
@@ -3562,18 +3513,18 @@
   (PROG (|op| |ISTMP#2| |sig| |ISTMP#1| |k| |u|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |form|)
+             ((AND (CONSP |form|)
                    (PROGN (SPADLET |op| (QCAR |form|)) 'T)
                    (member |op| (|allConstructors|)))
               (|expandType| |form| |template| |domain|))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) 'SIGNATURE)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) 'SIGNATURE)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |op| (QCAR |ISTMP#1|))
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (EQ (QCDR |ISTMP#2|) NIL)
                                  (PROGN
                                    (SPADLET |sig| (QCAR |ISTMP#2|))
@@ -3599,10 +3550,10 @@
                                            |template| |domain|)
                                           G168585)))))))
                                 NIL))))
-             ((AND (PAIRP |form|) (EQ (QCAR |form|) 'CATEGORY)
+             ((AND (CONSP |form|) (EQ (QCAR |form|) 'CATEGORY)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |form|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |k| (QCAR |ISTMP#1|))
                             (SPADLET |u| (QCDR |ISTMP#1|))
@@ -3651,7 +3602,7 @@
                 ((AND (member |functorName| '(|Record| |Union|))
                       (PROGN
                         (SPADLET |ISTMP#1| (CAR |argl|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCAR |ISTMP#1|) '|:|))))
                  (CONS |functorName|
                        (PROG (G168644)
@@ -3681,10 +3632,10 @@
                                               |template| |domform|)
                                              NIL)))
                                           G168644)))))))))
-                ((AND (PAIRP |lazyt|) (EQ (QCAR |lazyt|) '|local|)
+                ((AND (CONSP |lazyt|) (EQ (QCAR |lazyt|) '|local|)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |lazyt|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (EQ (QCDR |ISTMP#1|) NIL)
                              (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) 'T))))
                  (SPADLET |n| (POSN1 |x| |$FormalMapVariableList|))
@@ -3723,16 +3674,16 @@
         ((INTEGERP |u|)
          (|expandType| (|templateVal| |template| |domform| |u|)
              |template| |domform|))
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'NRTEVAL)
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'NRTEVAL)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          |y|)
-        ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)
               (PROGN
                 (SPADLET |ISTMP#1| (QCDR |u|))
-                (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                      (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
          |y|)
         ((ATOM |u|) |u|)
diff -Nru axiom-20110301a/src/interp/nruntime.lisp.pamphlet axiom-20111101/src/interp/nruntime.lisp.pamphlet
--- axiom-20110301a/src/interp/nruntime.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/nruntime.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,107 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp nruntime.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-(IN-PACKAGE "BOOT" )
-
-;unloadOneConstructor(cnam,fn) ==
-;    REMPROP(cnam,'LOADED)
-;    SETF(SYMBOL_-FUNCTION cnam,mkAutoLoad(fn, cnam))
-
-(DEFUN |unloadOneConstructor| (|cnam| |fn|)
-  (PROGN
-    (REMPROP |cnam| 'LOADED)
-    (SETF (SYMBOL-FUNCTION |cnam|) (|mkAutoLoad| |fn| |cnam|))))
-
-;devaluateDeeply x ==
-;  VECP x => devaluate x
-;  atom x => x
-;  [devaluateDeeply y for y in x]
-
-(DEFUN |devaluateDeeply| (|x|)
-  (PROG ()
-    (RETURN
-      (SEQ (COND
-             ((VECP |x|) (|devaluate| |x|))
-             ((ATOM |x|) |x|)
-             ('T
-              (PROG (G166066)
-                (SPADLET G166066 NIL)
-                (RETURN
-                  (DO ((G166071 |x| (CDR G166071)) (|y| NIL))
-                      ((OR (ATOM G166071)
-                           (PROGN (SETQ |y| (CAR G166071)) NIL))
-                       (NREVERSE0 G166066))
-                    (SEQ (EXIT (SETQ G166066
-                                     (CONS (|devaluateDeeply| |y|)
-                                      G166066)))))))))))))
-
-;lookupDisplay(op,sig,vectorOrForm,suffix) ==
-;  null $NRTmonitorIfTrue => nil
-;  prefix := (suffix = '"" => ">"; "<")
-;  sayBrightly
-;    concat(prefix,formatOpSignature(op,sig),
-;        '" from ", prefix2String devaluateDeeply vectorOrForm,suffix)
-
-(DEFUN |lookupDisplay| (|op| |sig| |vectorOrForm| |suffix|)
-  (PROG (|prefix|)
-  (declare (special |$NRTmonitorIfTrue|))
-    (RETURN
-      (COND
-        ((NULL |$NRTmonitorIfTrue|) NIL)
-        ('T
-         (SPADLET |prefix|
-                  (COND
-                    ((BOOT-EQUAL |suffix| "") '>)
-                    ('T '<)))
-         (|sayBrightly|
-             (|concat| |prefix| (|formatOpSignature| |op| |sig|)
-                 " from "
-                 (|prefix2String| (|devaluateDeeply| |vectorOrForm|))
-                 |suffix|)))))))
-
-;isInstantiated [op,:argl] ==
-;  u:= lassocShiftWithFunction(argl,HGET($ConstructorCache,op),'domainEqualList)
-;    => CDRwithIncrement u
-;  nil
-
-(DEFUN |isInstantiated| (G166088)
-  (PROG (|op| |argl| |u|)
-  (declare (special |$ConstructorCache|))
-    (RETURN
-      (PROGN
-        (SPADLET |op| (CAR G166088))
-        (SPADLET |argl| (CDR G166088))
-        (COND
-          ((SPADLET |u|
-                    (|lassocShiftWithFunction| |argl|
-                        (HGET |$ConstructorCache| |op|)
-                        '|domainEqualList|))
-           (|CDRwithIncrement| |u|))
-          ('T NIL))))))
-
-;isCategoryPackageName nam ==
-;  p := PNAME opOf nam
-;  p.(MAXINDEX p) = char '_&
-
-(DEFUN |isCategoryPackageName| (|nam|)
-  (PROG (|p|)
-    (RETURN
-      (PROGN
-        (SPADLET |p| (PNAME (|opOf| |nam|)))
-        (BOOT-EQUAL (ELT |p| (MAXINDEX |p|)) (|char| '&))))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/package.lisp.pamphlet axiom-20111101/src/interp/package.lisp.pamphlet
--- axiom-20110301a/src/interp/package.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/package.lisp.pamphlet	1970-01-01 00:00:00.000000000 +0000
@@ -1,1029 +0,0 @@
-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp package.lisp}
-\author{The Axiom Team}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\begin{chunk}{*}
-
-(IN-PACKAGE "BOOT" )
-
-;isPackageFunction() ==
-;  -- called by compile/putInLocalDomainReferences
-;--+
-;  nil
-
-(DEFUN |isPackageFunction| () NIL)
-
-;processFunctorOrPackage(form,signature,data,localParList,m,e) ==
-;--+
-;  processFunctor(form,signature,data,localParList,e)
-
-(DEFUN |processFunctorOrPackage|
-       (|form| |signature| |data| |localParList| |m| |e|)
-  (declare (ignore |m|))
-  (|processFunctor| |form| |signature| |data| |localParList| |e|))
-
-;processPackage($definition is [name,:args],[$catsig,:argssig],code,locals,$e) ==
-;  $GENNO: local:= 0 --for GENVAR()
-;  $catsig: local := nil
-;               --used in ProcessCond
-;  $maximalViews: local := nil
-;                      --read by ProcessCond
-;  $ResetItems: local := nil
-;       --stores those items that get SETQed, and may need re-processing
-;  $catvecList: local:= [$domainShell]
-;  $catNames: local:= ["$"]
-;--PRINT $definition
-;--PRINT ($catsig,:argssig)
-;--PRETTYPRINT code
-;  catvec:= $domainShell --from compDefineFunctor
-;  $getDomainCode:= optFunctorBody $getDomainCode
-;      --the purpose of this is so ProcessCond recognises such items
-;  code:= PackageDescendCode(code,true,nil)
-;  if DELETE(nil,locals) then code:=[:code,:(setPackageCode locals)] where
-;      setPackageCode locals ==
-;          locals':=[[u,:i] for u in locals for i in 0.. | u]
-;          locals'' :=[]
-;          while locals' repeat
-;            for v in locals' repeat
-;              [u,:i]:=v
-;              if and/[EQ(v,v') or not subTree(u,CAR v') for v' in locals']
-;              then
-;                locals'':=[v,:locals'']
-;                locals':=DELETE(v,locals')
-;          precomp:=code:=[]
-;          for elem in locals'' repeat
-;            [u,:i]:=elem
-;            if ATOM u then u':=u
-;            else
-;              u':=opt(u,precomp) where
-;                  opt(u,alist) ==
-;                    ATOM u => u
-;                    for v in u repeat
-;                      if (a:=ASSOC(v,alist)) then
-;                        [.,:i]:=a
-;                        u:=replace(v,[($QuickCode=>'QREFELT;'ELT),"$",i],u) where
-;                           replace(old,new,l) ==
-;                             l isnt [h,:t] => l
-;                             h = old => [new,:t]
-;                             [h,:replace(old,new,t)]
-;                      v':=opt(v,alist)
-;                      EQ(v,v') => nil
-;                      u:=replace(v,v',u)
-;                    u
-;              precomp:=[elem,:precomp]
-;            code:=[[($QuickCode=>'QSETREFV;'SETELT),"$",i,u'],:code]
-;          NREVERSE code
-;  code:=
-;    ["PROGN",:$getDomainCode,["LET","$",["GETREFV",#locals]],
-;                           --It is important to place this code here,
-;                           --after $ is set up
-;                   --slam functor with shell
-;                   --the order of steps in this PROGN are critical
-;      addToSlam($definition,"$"),code,[
-;        "SETELT","$",0, mkDomainConstructor $definition],:
-;-- If we call addMutableArg this early, then recurise calls to this domain
-;-- (e.g. while testing predicates) will generate new domains => trouble
-;--      "SETELT","$",0,addMutableArg mkDomainConstructor $definition],:
-;          [["SETELT","$",position(name,locals),name]
-;            for name in $ResetItems | MEMQ(name,locals)],
-;             :[($mutableDomain => '(RPLACD (LASTNODE (ELT $ 0))
-;                                           (LIST (GENSYM)));[]) ],
-;              "$"]
-;  for u in $getDomainCode repeat
-;    u is ['LET,.,u'] and u' is ['getDomainView,.,u''] =>
-;      $packagesUsed:=UNION(CategoriesFromGDC u'',$packagesUsed)
-;  $packagesUsed:=UNION($functorLocalParameters,$packagesUsed)
-;  $getDomainCode:= nil
-;     --if we didn't kill this, DEFINE would insert it in the wrong place
-;  optFunctorBody code
-
-(DEFUN |processPackage,replace| (|old| |new| |l|)
-  (PROG (|h| |t|)
-    (RETURN
-      (SEQ (IF (NULL (AND (PAIRP |l|)
-                          (PROGN
-                            (SPADLET |h| (QCAR |l|))
-                            (SPADLET |t| (QCDR |l|))
-                            'T)))
-               (EXIT |l|))
-           (IF (BOOT-EQUAL |h| |old|) (EXIT (CONS |new| |t|)))
-           (EXIT (CONS |h| (|processPackage,replace| |old| |new| |t|)))))))
-
-(DEFUN |processPackage,opt| (|u| |alist|)
-  (PROG (|a| |i| |v'|)
-  (declare (special |$QuickCode|))
-    (RETURN
-      (SEQ (IF (ATOM |u|) (EXIT |u|))
-           (DO ((G166092 |u| (CDR G166092)) (|v| NIL))
-               ((OR (ATOM G166092)
-                    (PROGN (SETQ |v| (CAR G166092)) NIL))
-                NIL)
-             (SEQ (IF (SPADLET |a| (|assoc| |v| |alist|))
-                      (SEQ (PROGN (SPADLET |i| (CDR |a|)) |a|)
-                           (EXIT (SPADLET |u|
-                                          (|processPackage,replace| |v|
-                                           (CONS
-                                            (SEQ
-                                             (IF |$QuickCode|
-                                              (EXIT 'QREFELT))
-                                             (EXIT 'ELT))
-                                            (CONS '$ (CONS |i| NIL)))
-                                           |u|))))
-                      NIL)
-                  (SPADLET |v'| (|processPackage,opt| |v| |alist|))
-                  (IF (EQ |v| |v'|) (EXIT NIL))
-                  (EXIT (SPADLET |u|
-                                 (|processPackage,replace| |v| |v'|
-                                     |u|)))))
-           (EXIT |u|)))))
-
-(DEFUN |processPackage,setPackageCode| (|locals|)
-  (PROG (|locals''| |locals'| |u| |i| |u'| |precomp| |code|)
-  (declare (special |$QuickCode|))
-    (RETURN
-      (SEQ (SPADLET |locals'|
-                    (PROG (G166117)
-                      (SPADLET G166117 NIL)
-                      (RETURN
-                        (DO ((G166124 |locals| (CDR G166124))
-                             (|u| NIL) (|i| 0 (QSADD1 |i|)))
-                            ((OR (ATOM G166124)
-                                 (PROGN
-                                   (SETQ |u| (CAR G166124))
-                                   NIL))
-                             (NREVERSE0 G166117))
-                          (SEQ (EXIT (COND
-                                       (|u|
-                                        (SETQ G166117
-                                         (CONS (CONS |u| |i|)
-                                          G166117))))))))))
-           (SPADLET |locals''| NIL)
-           (DO () ((NULL |locals'|) NIL)
-             (SEQ (EXIT (DO ((G166145 |locals'| (CDR G166145))
-                             (|v| NIL))
-                            ((OR (ATOM G166145)
-                                 (PROGN
-                                   (SETQ |v| (CAR G166145))
-                                   NIL))
-                             NIL)
-                          (SEQ (PROGN
-                                 (SPADLET |u| (CAR |v|))
-                                 (SPADLET |i| (CDR |v|))
-                                 |v|)
-                               (EXIT (IF
-                                      (PROG (G166151)
-                                        (SPADLET G166151 'T)
-                                        (RETURN
-                                          (DO
-                                           ((G166157 NIL
-                                             (NULL G166151))
-                                            (G166158 |locals'|
-                                             (CDR G166158))
-                                            (|v'| NIL))
-                                           ((OR G166157
-                                             (ATOM G166158)
-                                             (PROGN
-                                               (SETQ |v'|
-                                                (CAR G166158))
-                                               NIL))
-                                            G166151)
-                                            (SEQ
-                                             (EXIT
-                                              (SETQ G166151
-                                               (AND G166151
-                                                (OR (EQ |v| |v'|)
-                                                 (NULL
-                                                  (|subTree| |u|
-                                                   (CAR |v'|)))))))))))
-                                      (SEQ
-                                       (SPADLET |locals''|
-                                        (CONS |v| |locals''|))
-                                       (EXIT
-                                        (SPADLET |locals'|
-                                         (|delete| |v| |locals'|))))
-                                      NIL)))))))
-           (SPADLET |precomp| (SPADLET |code| NIL))
-           (DO ((G166171 |locals''| (CDR G166171)) (|elem| NIL))
-               ((OR (ATOM G166171)
-                    (PROGN (SETQ |elem| (CAR G166171)) NIL))
-                NIL)
-             (SEQ (PROGN
-                    (SPADLET |u| (CAR |elem|))
-                    (SPADLET |i| (CDR |elem|))
-                    |elem|)
-                  (IF (ATOM |u|) (SPADLET |u'| |u|)
-                      (SEQ (SPADLET |u'|
-                                    (|processPackage,opt| |u|
-                                     |precomp|))
-                           (EXIT (SPADLET |precomp|
-                                          (CONS |elem| |precomp|)))))
-                  (EXIT (SPADLET |code|
-                                 (CONS (CONS
-                                        (SEQ
-                                         (IF |$QuickCode|
-                                          (EXIT 'QSETREFV))
-                                         (EXIT 'SETELT))
-                                        (CONS '$
-                                         (CONS |i| (CONS |u'| NIL))))
-                                       |code|)))))
-           (EXIT (NREVERSE |code|))))))
-
-
-(DEFUN |processPackage| (|$definition| G166239 |code| |locals| |$e|)
-  (DECLARE (SPECIAL |$definition| |$e|))
-  (PROG ($GENNO |$catsig| |$maximalViews| |$ResetItems| |$catvecList|
-                |$catNames| |argssig| |name| |args| |catvec| |u'|
-                |ISTMP#1| |ISTMP#2| |u''|)
-    (DECLARE (SPECIAL $GENNO |$catsig| |$maximalViews| |$ResetItems|
-                      |$catvecList| |$catNames| |$getDomainCode|
-                      |$packagesUsed| |$functorLocalParameters|
-                      |$mutableDomain| |$domainShell|))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |$catsig| (CAR G166239))
-             (SPADLET |argssig| (CDR G166239))
-             (SPADLET |name| (CAR |$definition|))
-             (SPADLET |args| (CDR |$definition|))
-             (SPADLET $GENNO 0)
-             (SPADLET |$catsig| NIL)
-             (SPADLET |$maximalViews| NIL)
-             (SPADLET |$ResetItems| NIL)
-             (SPADLET |$catvecList| (CONS |$domainShell| NIL))
-             (SPADLET |$catNames| (CONS '$ NIL))
-             (SPADLET |catvec| |$domainShell|)
-             (SPADLET |$getDomainCode|
-                      (|optFunctorBody| |$getDomainCode|))
-             (SPADLET |code| (|PackageDescendCode| |code| 'T NIL))
-             (COND
-               ((|delete| NIL |locals|)
-                (SPADLET |code|
-                         (APPEND |code|
-                                 (|processPackage,setPackageCode|
-                                     |locals|)))))
-             (SPADLET |code|
-                      (CONS 'PROGN
-                            (APPEND |$getDomainCode|
-                                    (CONS
-                                     (CONS 'LET
-                                      (CONS '$
-                                       (CONS
-                                        (CONS 'GETREFV
-                                         (CONS (|#| |locals|) NIL))
-                                        NIL)))
-                                     (CONS
-                                      (|addToSlam| |$definition| '$)
-                                      (CONS |code|
-                                       (CONS
-                                        (CONS 'SETELT
-                                         (CONS '$
-                                          (CONS 0
-                                           (CONS
-                                            (|mkDomainConstructor|
-                                             |$definition|)
-                                            NIL))))
-                                        (APPEND
-                                         (PROG (G166269)
-                                           (SPADLET G166269 NIL)
-                                           (RETURN
-                                             (DO
-                                              ((G166275 |$ResetItems|
-                                                (CDR G166275))
-                                               (|name| NIL))
-                                              ((OR (ATOM G166275)
-                                                (PROGN
-                                                  (SETQ |name|
-                                                   (CAR G166275))
-                                                  NIL))
-                                               (NREVERSE0 G166269))
-                                               (SEQ
-                                                (EXIT
-                                                 (COND
-                                                   ((member |name|
-                                                     |locals|)
-                                                    (SETQ G166269
-                                                     (CONS
-                                                      (CONS 'SETELT
-                                                       (CONS '$
-                                                        (CONS
-                                                         (|position|
-                                                          |name|
-                                                          |locals|)
-                                                         (CONS |name|
-                                                          NIL))))
-                                                      G166269)))))))))
-                                         (APPEND
-                                          (CONS
-                                           (COND
-                                             (|$mutableDomain|
-                                              '(RPLACD
-                                                (LASTNODE (ELT $ 0))
-                                                (LIST (GENSYM))))
-                                             ('T NIL))
-                                           NIL)
-                                          (CONS '$ NIL))))))))))
-             (SEQ (DO ((G166296 |$getDomainCode| (CDR G166296))
-                       (|u| NIL))
-                      ((OR (ATOM G166296)
-                           (PROGN (SETQ |u| (CAR G166296)) NIL))
-                       NIL)
-                    (SEQ (EXIT (COND
-                                 ((AND (PAIRP |u|) (EQ (QCAR |u|) 'LET)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1| (QCDR |u|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (PROGN
-                                               (SPADLET |u'|
-                                                (QCAR |ISTMP#2|))
-                                               'T)))))
-                                       (PAIRP |u'|)
-                                       (EQ (QCAR |u'|)
-                                        '|getDomainView|)
-                                       (PROGN
-                                         (SPADLET |ISTMP#1|
-                                          (QCDR |u'|))
-                                         (AND (PAIRP |ISTMP#1|)
-                                          (PROGN
-                                            (SPADLET |ISTMP#2|
-                                             (QCDR |ISTMP#1|))
-                                            (AND (PAIRP |ISTMP#2|)
-                                             (EQ (QCDR |ISTMP#2|) NIL)
-                                             (PROGN
-                                               (SPADLET |u''|
-                                                (QCAR |ISTMP#2|))
-                                               'T))))))
-                                  (EXIT (SPADLET |$packagesUsed|
-                                         (|union|
-                                          (|CategoriesFromGDC| |u''|)
-                                          |$packagesUsed|))))))))
-                  (SPADLET |$packagesUsed|
-                           (|union| |$functorLocalParameters|
-                                    |$packagesUsed|))
-                  (SPADLET |$getDomainCode| NIL)
-                  (|optFunctorBody| |code|)))))))
-
-;subTree(u,v) ==
-;  v=u => true
-;  ATOM v => nil
-;  or/[subTree(u,v') for v' in v]
-
-(DEFUN |subTree| (|u| |v|)
-  (PROG ()
-    (RETURN
-      (SEQ (COND
-             ((BOOT-EQUAL |v| |u|) 'T)
-             ((ATOM |v|) NIL)
-             ('T
-              (PROG (G166346)
-                (SPADLET G166346 NIL)
-                (RETURN
-                  (DO ((G166352 NIL G166346)
-                       (G166353 |v| (CDR G166353)) (|v'| NIL))
-                      ((OR G166352 (ATOM G166353)
-                           (PROGN (SETQ |v'| (CAR G166353)) NIL))
-                       G166346)
-                    (SEQ (EXIT (SETQ G166346
-                                     (OR G166346
-                                      (|subTree| |u| |v'|))))))))))))))
-
-;mkList u ==
-;  u => ["LIST",:u]
-;  nil
-
-(DEFUN |mkList| (|u|) (COND (|u| (CONS 'LIST |u|)) ('T NIL)))
-
-;
-;setPackageLocals(pac,locs) ==
-;  for var in locs for i in 0.. | var^=nil repeat pac.i:= var
-
-(DEFUN |setPackageLocals| (|pac| |locs|)
-  (SEQ (DO ((G166373 |locs| (CDR G166373)) (|var| NIL)
-            (|i| 0 (QSADD1 |i|)))
-           ((OR (ATOM G166373)
-                (PROGN (SETQ |var| (CAR G166373)) NIL))
-            NIL)
-         (SEQ (EXIT (COND
-                      ((NEQUAL |var| NIL) (SETELT |pac| |i| |var|))))))))
-
-;PackageDescendCode(code,flag,viewAssoc) ==
-;               --flag is true if we are walking down code always executed
-;               --nil if we are in conditional code
-;  code=nil => nil
-;  code="noBranch" => nil
-;  code is ["add",base,:codelist] =>
-;    systemError '"packages may not have add clauses"
-;  code is ["PROGN",:codelist] =>
-;    ["PROGN",:
-;      [v for u in codelist | (v:= PackageDescendCode(u,flag,viewAssoc))^=nil]]
-;  code is ["COND",:condlist] =>
-;    c:=
-;      ["COND",:
-;        [[u2:= ProcessCond(first u,viewAssoc),:
-;         (if null u2
-;             then nil
-;             else
-;              [PackageDescendCode(v,flag and TruthP u2,
-;                if first u is ["HasCategory",dom,cat]
-;                   then [[dom,:cat],:viewAssoc]
-;                   else viewAssoc) for v in rest u])] for u in condlist]]
-;    TruthP CAADR c => ["PROGN",:CDADR c]
-;    c
-;  code is ["LET",name,body,:.] =>
-;    if not MEMQ(name,$ResetItems) then $ResetItems:= [name,:$ResetItems]
-;    if body is [a,:.] and isFunctor a
-;      then $packagesUsed:=[body,:$packagesUsed]
-;    code
-;  code is ["CodeDefine",sig,implem] =>
-;             --Generated by doIt in COMPILER BOOT
-;    dom:= "$"
-;    dom:=
-;      u:= LASSOC(dom,viewAssoc) => ["getDomainView",dom,u]
-;      dom
-;    body:= ["CONS",implem,dom]
-;    SetFunctionSlots(sig,body,flag,"original")
-;  code is [":",:.] => (RPLACA(code,"LIST"); RPLACD(code,NIL))
-;      --Yes, I know that's a hack, but how else do you kill a line?
-;  code is ["LIST",:.] => nil
-;  code is ["MDEF",:.] => nil
-;  code is ["devaluate",:.] => nil
-;  code is ["call",:.] => code
-;  code is ["SETELT",:.] => code
-;  code is ["QSETREFV",:.] => code
-;  stackWarning ["unknown Package code ",code]
-;  code
-
-(DEFUN |PackageDescendCode| (|code| |flag| |viewAssoc|)
-  (PROG (|base| |codelist| |v| |condlist| |u2| |ISTMP#3| |cat| |c|
-                |name| |a| |ISTMP#1| |sig| |ISTMP#2| |implem| |u| |dom| |body|)
-  (declare (special |$packagesUsed| |$ResetItems|))
-    (RETURN
-      (SEQ (COND
-             ((NULL |code|) NIL)
-             ((BOOT-EQUAL |code| '|noBranch|) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|add|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |code|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |base| (QCAR |ISTMP#1|))
-                            (SPADLET |codelist| (QCDR |ISTMP#1|))
-                            'T))))
-              (|systemError|
-                  "packages may not have add clauses"))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'PROGN)
-                   (PROGN (SPADLET |codelist| (QCDR |code|)) 'T))
-              (CONS 'PROGN
-                    (PROG (G166458)
-                      (SPADLET G166458 NIL)
-                      (RETURN
-                        (DO ((G166464 |codelist| (CDR G166464))
-                             (|u| NIL))
-                            ((OR (ATOM G166464)
-                                 (PROGN
-                                   (SETQ |u| (CAR G166464))
-                                   NIL))
-                             (NREVERSE0 G166458))
-                          (SEQ (EXIT (COND
-                                       ((NEQUAL
-                                         (SPADLET |v|
-                                          (|PackageDescendCode| |u|
-                                           |flag| |viewAssoc|))
-                                         NIL)
-                                        (SETQ G166458
-                                         (CONS |v| G166458)))))))))))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'COND)
-                   (PROGN (SPADLET |condlist| (QCDR |code|)) 'T))
-              (SPADLET |c|
-                       (CONS 'COND
-                             (PROG (G166483)
-                               (SPADLET G166483 NIL)
-                               (RETURN
-                                 (DO ((G166497 |condlist|
-                                       (CDR G166497))
-                                      (|u| NIL))
-                                     ((OR (ATOM G166497)
-                                       (PROGN
-                                         (SETQ |u| (CAR G166497))
-                                         NIL))
-                                      (NREVERSE0 G166483))
-                                   (SEQ
-                                    (EXIT
-                                     (SETQ G166483
-                                      (CONS
-                                       (CONS
-                                        (SPADLET |u2|
-                                         (|ProcessCond| (CAR |u|)
-                                          |viewAssoc|))
-                                        (COND
-                                          ((NULL |u2|) NIL)
-                                          ('T
-                                           (PROG (G166516)
-                                             (SPADLET G166516 NIL)
-                                             (RETURN
-                                               (DO
-                                                ((G166530 (CDR |u|)
-                                                  (CDR G166530))
-                                                 (|v| NIL))
-                                                ((OR (ATOM G166530)
-                                                  (PROGN
-                                                    (SETQ |v|
-                                                     (CAR G166530))
-                                                    NIL))
-                                                 (NREVERSE0 G166516))
-                                                 (SEQ
-                                                  (EXIT
-                                                   (SETQ G166516
-                                                    (CONS
-                                                     (|PackageDescendCode|
-                                                      |v|
-                                                      (AND |flag|
-                                                       (|TruthP| |u2|))
-                                                      (COND
-                                                        ((PROGN
-                                                           (SPADLET
-                                                            |ISTMP#1|
-                                                            (CAR |u|))
-                                                           (AND
-                                                            (PAIRP
-                                                             |ISTMP#1|)
-                                                            (EQ
-                                                             (QCAR
-                                                              |ISTMP#1|)
-                                                             '|HasCategory|)
-                                                            (PROGN
-                                                              (SPADLET
-                                                               |ISTMP#2|
-                                                               (QCDR
-                                                                |ISTMP#1|))
-                                                              (AND
-                                                               (PAIRP
-                                                                |ISTMP#2|)
-                                                               (PROGN
-                                                                 (SPADLET
-                                                                  |dom|
-                                                                  (QCAR
-                                                                   |ISTMP#2|))
-                                                                 (SPADLET
-                                                                  |ISTMP#3|
-                                                                  (QCDR
-                                                                   |ISTMP#2|))
-                                                                 (AND
-                                                                  (PAIRP
-                                                                   |ISTMP#3|)
-                                                                  (EQ
-                                                                   (QCDR
-                                                                    |ISTMP#3|)
-                                                                   NIL)
-                                                                  (PROGN
-                                                                    (SPADLET
-                                                                     |cat|
-                                                                     (QCAR
-                                                                      |ISTMP#3|))
-                                                                    'T)))))))
-                                                         (CONS
-                                                          (CONS |dom|
-                                                           |cat|)
-                                                          |viewAssoc|))
-                                                        ('T
-                                                         |viewAssoc|)))
-                                                     G166516))))))))))
-                                       G166483)))))))))
-              (COND
-                ((|TruthP| (CAADR |c|)) (CONS 'PROGN (CDADR |c|)))
-                ('T |c|)))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LET)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |code|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |name| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (PROGN
-                                   (SPADLET |body| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (COND
-                ((NULL (member |name| |$ResetItems|))
-                 (SPADLET |$ResetItems| (CONS |name| |$ResetItems|))))
-              (COND
-                ((AND (PAIRP |body|)
-                      (PROGN (SPADLET |a| (QCAR |body|)) 'T)
-                      (|isFunctor| |a|))
-                 (SPADLET |$packagesUsed|
-                          (CONS |body| |$packagesUsed|))))
-              |code|)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|CodeDefine|)
-                   (PROGN
-                     (SPADLET |ISTMP#1| (QCDR |code|))
-                     (AND (PAIRP |ISTMP#1|)
-                          (PROGN
-                            (SPADLET |sig| (QCAR |ISTMP#1|))
-                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
-                                 (EQ (QCDR |ISTMP#2|) NIL)
-                                 (PROGN
-                                   (SPADLET |implem| (QCAR |ISTMP#2|))
-                                   'T))))))
-              (SPADLET |dom| '$)
-              (SPADLET |dom|
-                       (COND
-                         ((SPADLET |u| (LASSOC |dom| |viewAssoc|))
-                          (CONS '|getDomainView|
-                                (CONS |dom| (CONS |u| NIL))))
-                         ('T |dom|)))
-              (SPADLET |body|
-                       (CONS 'CONS (CONS |implem| (CONS |dom| NIL))))
-              (|SetFunctionSlots| |sig| |body| |flag| '|original|))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|:|))
-              (RPLACA |code| 'LIST) (RPLACD |code| NIL))
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'LIST)) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'MDEF)) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|devaluate|)) NIL)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) '|call|)) |code|)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'SETELT)) |code|)
-             ((AND (PAIRP |code|) (EQ (QCAR |code|) 'QSETREFV)) |code|)
-             ('T
-              (|stackWarning|
-                  (CONS '|unknown Package code | (CONS |code| NIL)))
-              |code|))))))
-
-;mkOperatorEntry(domainOrPackage,opSig is [op,sig,:flag],pred,count) ==
-;  domainOrPackage^="domain" =>
-;    [opSig,pred,["PAC","$",name]] where
-;      name() == encodeFunctionName(op,domainOrPackage,sig,":",count)
-;  null flag => [opSig,pred,["ELT","$",count]]
-;  first flag="constant" => [[op,sig],pred,["CONST","$",count]]
-;  systemError ["unknown variable mode: ",flag]
-
-(DEFUN |mkOperatorEntry| (|domainOrPackage| |opSig| |pred| |count|)
-  (PROG (|op| |sig| |flag|)
-    (RETURN
-      (PROGN
-        (SPADLET |op| (CAR |opSig|))
-        (SPADLET |sig| (CADR |opSig|))
-        (SPADLET |flag| (CDDR |opSig|))
-        (COND
-          ((NEQUAL |domainOrPackage| '|domain|)
-           (CONS |opSig|
-                 (CONS |pred|
-                       (CONS (CONS 'PAC
-                                   (CONS '$
-                                    (CONS
-                                     (|encodeFunctionName| |op|
-                                      |domainOrPackage| |sig| '|:|
-                                      |count|)
-                                     NIL)))
-                             NIL))))
-          ((NULL |flag|)
-           (CONS |opSig|
-                 (CONS |pred|
-                       (CONS (CONS 'ELT (CONS '$ (CONS |count| NIL)))
-                             NIL))))
-          ((BOOT-EQUAL (CAR |flag|) '|constant|)
-           (CONS (CONS |op| (CONS |sig| NIL))
-                 (CONS |pred|
-                       (CONS (CONS 'CONST (CONS '$ (CONS |count| NIL)))
-                             NIL))))
-          ('T
-           (|systemError|
-               (CONS '|unknown variable mode: | (CONS |flag| NIL)))))))))
-
-;optPackageCall(x,["PAC",packageVariableOrForm,functionName],arglist) ==
-;  RPLACA(x,functionName)
-;  RPLACD(x,[:arglist,packageVariableOrForm])
-;  x
-
-(DEFUN |optPackageCall| (|x| G166589 |arglist|)
-  (PROG (|packageVariableOrForm| |functionName|)
-    (RETURN
-      (PROGN
-        (COND ((EQ (CAR G166589) 'PAC) (CAR G166589)))
-        (SPADLET |packageVariableOrForm| (CADR G166589))
-        (SPADLET |functionName| (CADDR G166589))
-        (RPLACA |x| |functionName|)
-        (RPLACD |x|
-                (APPEND |arglist| (CONS |packageVariableOrForm| NIL)))
-        |x|))))
-
-;--% Code for encoding function names inside package or domain
-;
-;encodeFunctionName(fun,package is [packageName,:arglist],signature,sep,count)
-;   ==
-;    signature':= substitute("$",package,signature)
-;    reducedSig:= mkRepititionAssoc [:rest signature',first signature']
-;    encodedSig:=
-;      ("STRCONC"/[encodedPair for [n,:x] in reducedSig]) where
-;        encodedPair() ==
-;          n=1 => encodeItem x
-;          STRCONC(STRINGIMAGE n,encodeItem x)
-;    encodedName:= INTERNL(getAbbreviation(packageName,#arglist),";",
-;        encodeItem fun,";",encodedSig, sep,STRINGIMAGE count)
-;    if $LISPLIB then
-;      $lisplibSignatureAlist:=
-;        [[encodedName,:signature'],:$lisplibSignatureAlist]
-;    encodedName
-
-(DEFUN |encodeFunctionName| (|fun| |package| |signature| |sep| |count|)
-  (PROG (|packageName| |arglist| |signature'| |reducedSig| |n| |x|
-            |encodedSig| |encodedName|)
-  (declare (special |$lisplibSignatureAlist| $LISPLIB))
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |packageName| (CAR |package|))
-             (SPADLET |arglist| (CDR |package|))
-             (SPADLET |signature'| (MSUBST '$ |package| |signature|))
-             (SPADLET |reducedSig|
-                      (|mkRepititionAssoc|
-                          (APPEND (CDR |signature'|)
-                                  (CONS (CAR |signature'|) NIL))))
-             (SPADLET |encodedSig|
-                      (PROG (G166626)
-                        (SPADLET G166626 "")
-                        (RETURN
-                          (DO ((G166632 |reducedSig| (CDR G166632))
-                               (G166606 NIL))
-                              ((OR (ATOM G166632)
-                                   (PROGN
-                                     (SETQ G166606 (CAR G166632))
-                                     NIL)
-                                   (PROGN
-                                     (PROGN
-                                       (SPADLET |n| (CAR G166606))
-                                       (SPADLET |x| (CDR G166606))
-                                       G166606)
-                                     NIL))
-                               G166626)
-                            (SEQ (EXIT (SETQ G166626
-                                        (STRCONC G166626
-                                         (COND
-                                           ((EQL |n| 1)
-                                            (|encodeItem| |x|))
-                                           ('T
-                                            (STRCONC (STRINGIMAGE |n|)
-                                             (|encodeItem| |x|))))))))))))
-             (SPADLET |encodedName|
-                      (INTERNL (|getAbbreviation| |packageName|
-                                   (|#| |arglist|))
-                               '|;| (|encodeItem| |fun|) '|;|
-                               |encodedSig| |sep|
-                               (STRINGIMAGE |count|)))
-             (COND
-               ($LISPLIB
-                   (SPADLET |$lisplibSignatureAlist|
-                            (CONS (CONS |encodedName| |signature'|)
-                                  |$lisplibSignatureAlist|))))
-             |encodedName|)))))
-
-;splitEncodedFunctionName(encodedName, sep) ==
-;    -- [encodedPackage, encodedItem, encodedSig, sequenceNo] or NIL
-;    -- sep0 is the separator used in "encodeFunctionName".
-;    sep0 := '";"
-;    if not STRINGP encodedName then
-;        encodedName := STRINGIMAGE encodedName
-;    null (p1 := STRPOS(sep0, encodedName, 0,    '"*")) => nil
-;    null (p2 := STRPOS(sep0, encodedName, p1+1, '"*")) => 'inner
-;--  This is picked up in compile for inner functions in partial compilation
-;    null (p3 := STRPOS(sep,  encodedName, p2+1, '"*")) => nil
-;    s1 := SUBSTRING(encodedName, 0,    p1)
-;    s2 := SUBSTRING(encodedName, p1+1, p2-p1-1)
-;    s3 := SUBSTRING(encodedName, p2+1, p3-p2-1)
-;    s4 := SUBSTRING(encodedName, p3+1, nil)
-;    [s1, s2, s3, s4]
-
-(DEFUN |splitEncodedFunctionName| (|encodedName| |sep|)
-  (PROG (|sep0| |p1| |p2| |p3| |s1| |s2| |s3| |s4|)
-    (RETURN
-      (PROGN
-        (SPADLET |sep0| ";")
-        (COND
-          ((NULL (STRINGP |encodedName|))
-           (SPADLET |encodedName| (STRINGIMAGE |encodedName|))))
-        (COND
-          ((NULL (SPADLET |p1|
-                          (STRPOS |sep0| |encodedName| 0
-                                  "*")))
-           NIL)
-          ((NULL (SPADLET |p2|
-                          (STRPOS |sep0| |encodedName| (PLUS |p1| 1)
-                                  "*")))
-           '|inner|)
-          ((NULL (SPADLET |p3|
-                          (STRPOS |sep| |encodedName| (PLUS |p2| 1)
-                                  "*")))
-           NIL)
-          ('T (SPADLET |s1| (SUBSTRING |encodedName| 0 |p1|))
-           (SPADLET |s2|
-                    (SUBSTRING |encodedName| (PLUS |p1| 1)
-                        (SPADDIFFERENCE (SPADDIFFERENCE |p2| |p1|) 1)))
-           (SPADLET |s3|
-                    (SUBSTRING |encodedName| (PLUS |p2| 1)
-                        (SPADDIFFERENCE (SPADDIFFERENCE |p3| |p2|) 1)))
-           (SPADLET |s4| (SUBSTRING |encodedName| (PLUS |p3| 1) NIL))
-           (CONS |s1| (CONS |s2| (CONS |s3| (CONS |s4| NIL))))))))))
-
-;mkRepititionAssoc l ==
-;  mkRepfun(l,1) where
-;    mkRepfun(l,n) ==
-;      null l => nil
-;      l is [x] => [[n,:x]]
-;      l is [x, =x,:l'] => mkRepfun(rest l,n+1)
-;      [[n,:first l],:mkRepfun(rest l,1)]
-
-(DEFUN |mkRepititionAssoc,mkRepfun| (|l| |n|)
-  (PROG (|x| |ISTMP#1| |l'|)
-    (RETURN
-      (SEQ (IF (NULL |l|) (EXIT NIL))
-           (IF (AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
-                    (PROGN (SPADLET |x| (QCAR |l|)) 'T))
-               (EXIT (CONS (CONS |n| |x|) NIL)))
-           (IF (AND (PAIRP |l|)
-                    (PROGN
-                      (SPADLET |x| (QCAR |l|))
-                      (SPADLET |ISTMP#1| (QCDR |l|))
-                      (AND (PAIRP |ISTMP#1|)
-                           (EQUAL (QCAR |ISTMP#1|) |x|)
-                           (PROGN (SPADLET |l'| (QCDR |ISTMP#1|)) 'T))))
-               (EXIT (|mkRepititionAssoc,mkRepfun| (CDR |l|)
-                         (PLUS |n| 1))))
-           (EXIT (CONS (CONS |n| (CAR |l|))
-                       (|mkRepititionAssoc,mkRepfun| (CDR |l|) 1)))))))
-
-(DEFUN |mkRepititionAssoc| (|l|) (|mkRepititionAssoc,mkRepfun| |l| 1))
-
-;encodeItem x ==
-;  x is [op,:argl] => getCaps op
-;  IDENTP x => PNAME x
-;  STRINGIMAGE x
-
-(DEFUN |encodeItem| (|x|)
-  (PROG (|op| |argl|)
-    (RETURN
-      (COND
-        ((AND (PAIRP |x|)
-              (PROGN
-                (SPADLET |op| (QCAR |x|))
-                (SPADLET |argl| (QCDR |x|))
-                'T))
-         (|getCaps| |op|))
-        ((IDENTP |x|) (PNAME |x|))
-        ('T (STRINGIMAGE |x|))))))
-
-;getCaps x ==
-;  s:= STRINGIMAGE x
-;  clist:= [c for i in 0..MAXINDEX s | UPPER_-CASE_-P (c:= s.i)]
-;  null clist => '"__"
-;  "STRCONC"/[first clist,:[L_-CASE u for u in rest clist]]
-
-(DEFUN |getCaps| (|x|)
-  (PROG (|s| |c| |clist|)
-    (RETURN
-      (SEQ (PROGN
-             (SPADLET |s| (STRINGIMAGE |x|))
-             (SPADLET |clist|
-                      (PROG (G166702)
-                        (SPADLET G166702 NIL)
-                        (RETURN
-                          (DO ((G166708 (MAXINDEX |s|))
-                               (|i| 0 (QSADD1 |i|)))
-                              ((QSGREATERP |i| G166708)
-                               (NREVERSE0 G166702))
-                            (SEQ (EXIT (COND
-                                         ((UPPER-CASE-P
-                                           (SPADLET |c| (ELT |s| |i|)))
-                                          (SETQ G166702
-                                           (CONS |c| G166702))))))))))
-             (COND
-               ((NULL |clist|) "_")
-               ('T
-                (PROG (G166712)
-                  (SPADLET G166712 "")
-                  (RETURN
-                    (DO ((G166717
-                             (CONS (CAR |clist|)
-                                   (PROG (G166727)
-                                     (SPADLET G166727 NIL)
-                                     (RETURN
-                                       (DO
-                                        ((G166732 (CDR |clist|)
-                                          (CDR G166732))
-                                         (|u| NIL))
-                                        ((OR (ATOM G166732)
-                                          (PROGN
-                                            (SETQ |u| (CAR G166732))
-                                            NIL))
-                                         (NREVERSE0 G166727))
-                                         (SEQ
-                                          (EXIT
-                                           (SETQ G166727
-                                            (CONS (L-CASE |u|)
-                                             G166727))))))))
-                             (CDR G166717))
-                         (G166695 NIL))
-                        ((OR (ATOM G166717)
-                             (PROGN
-                               (SETQ G166695 (CAR G166717))
-                               NIL))
-                         G166712)
-                      (SEQ (EXIT (SETQ G166712
-                                       (STRCONC G166712 G166695))))))))))))))
-
-;--% abbreviation code
-;
-;getAbbreviation(name,c) ==
-;  --returns abbreviation of name with c arguments
-;  x := constructor? name
-;  X := ASSQ(x,$abbreviationTable) =>
-;    N:= ASSQ(name,rest X) =>
-;      C:= ASSQ(c,rest N) => rest C --already there
-;      newAbbreviation:= mkAbbrev(X,x)
-;      RPLAC(rest N,[[c,:newAbbreviation],:rest N])
-;      newAbbreviation
-;    newAbbreviation:= mkAbbrev(X,x)
-;    RPLAC(rest X,[[name,[c,:newAbbreviation]],:rest X])
-;    newAbbreviation
-;  $abbreviationTable:= [[x,[name,[c,:x]]],:$abbreviationTable]
-;  x
-
-(DEFUN |getAbbreviation| (|name| |c|)
-  (PROG (|x| X N C |newAbbreviation|)
-  (declare (special |$abbreviationTable|))
-    (RETURN
-      (PROGN
-        (SPADLET |x| (|constructor?| |name|))
-        (COND
-          ((SPADLET X (ASSQ |x| |$abbreviationTable|))
-           (COND
-             ((SPADLET N (ASSQ |name| (CDR X)))
-              (COND
-                ((SPADLET C (ASSQ |c| (CDR N))) (CDR C))
-                ('T (SPADLET |newAbbreviation| (|mkAbbrev| X |x|))
-                 (RPLAC (CDR N)
-                        (CONS (CONS |c| |newAbbreviation|) (CDR N)))
-                 |newAbbreviation|)))
-             ('T (SPADLET |newAbbreviation| (|mkAbbrev| X |x|))
-              (RPLAC (CDR X)
-                     (CONS (CONS |name|
-                                 (CONS (CONS |c| |newAbbreviation|)
-                                       NIL))
-                           (CDR X)))
-              |newAbbreviation|)))
-          ('T
-           (SPADLET |$abbreviationTable|
-                    (CONS (CONS |x|
-                                (CONS (CONS |name|
-                                       (CONS (CONS |c| |x|) NIL))
-                                      NIL))
-                          |$abbreviationTable|))
-           |x|))))))
-
-;mkAbbrev(X,x) == addSuffix(alistSize rest X,x)
-
-(DEFUN |mkAbbrev| (X |x|) (|addSuffix| (|alistSize| (CDR X)) |x|))
-
-;alistSize c ==
-;  count(c,1) where
-;    count(x,level) ==
-;      level=2 => #x
-;      null x => 0
-;      count(CDAR x,level+1)+count(rest x,level)
-
-(DEFUN |alistSize,count| (|x| |level|)
-  (SEQ (IF (EQL |level| 2) (EXIT (|#| |x|))) (IF (NULL |x|) (EXIT 0))
-       (EXIT (PLUS (|alistSize,count| (CDAR |x|) (PLUS |level| 1))
-                   (|alistSize,count| (CDR |x|) |level|)))))
-
-(DEFUN |alistSize| (|c|) (|alistSize,count| |c| 1))
-
-;
-;addSuffix(n,u) ==
-;  ALPHA_-CHAR_-P (s:= STRINGIMAGE u).(MAXINDEX s) => INTERN STRCONC(s,STRINGIMAGE n)
-;  INTERNL STRCONC(s,STRINGIMAGE ";",STRINGIMAGE n)
-;
-
-(DEFUN |addSuffix| (|n| |u|)
-  (PROG (|s|)
-    (RETURN
-      (COND
-        ((ALPHA-CHAR-P
-             (ELT (SPADLET |s| (STRINGIMAGE |u|)) (MAXINDEX |s|)))
-         (INTERN (STRCONC |s| (STRINGIMAGE |n|))))
-        ('T
-         (INTERNL (STRCONC |s| (STRINGIMAGE '|;|) (STRINGIMAGE |n|))))))))
-
-\end{chunk}
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}
diff -Nru axiom-20110301a/src/interp/parsing.lisp.pamphlet axiom-20111101/src/interp/parsing.lisp.pamphlet
--- axiom-20110301a/src/interp/parsing.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/parsing.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -46,30 +46,6 @@
 Advance Token. The functions Match Current Token and Match Next Token recognize
 classes of tokens, by type, or by type and symbol.  The current and next tokens
 can be shoved back on the input stream (to the current line) with Unget-Tokens.
-\begin{chunk}{*}
-
-(defun token-stack-show ()
-  (if (= Valid-Tokens 0) 
-   (format t "~%There are no valid tokens.~%")
-   (format t "~%The number of valid tokens is ~S.~%" Valid-Tokens))
-  (when (> Valid-Tokens 0)
-   (format t "The current token is~%")
-   (describe current-token))
-  (when (> Valid-Tokens 1)
-   (format t "The next token is~%")
-   (describe next-token))
-  (when (token-type prior-token)
-   (format t "The prior token was~%")
-   (describe prior-token)))
-
-(defmacro token-stack-clear ()
- `(progn 
-   (setq valid-tokens 0)
-   (token-install nil nil current-token nil)
-   (token-install nil nil next-token nil)
-   (token-install nil nil prior-token nil)))
-
-\end{chunk}
 \subsubsection{Line handling}
 \begin{chunk}{*}
 
@@ -135,9 +111,8 @@
 \end{chunk}
 \subsection{Constructing parsing procedures}
 \begin{chunk}{*}
-; (MAKEPROP 'PROGN 'NARY T)       ; Setting for Make-Parse-Function
 (eval-when (eval load)
- (setf (get 'progn 'nary) t))
+ (setf (get 'progn 'nary) t))  ; Setting for Make-Parse-Function
 
 (defun make-parse-function (l op)
  (when (flagp op 'nary) (setq l (make-parse-func-flatten-1 l op nil)))
@@ -357,47 +332,14 @@
    (mdeftrace (print x) (princ " --> ") (print u) (/mdef u))
    ((/mdef u)))))
 
-(defun trargprint (l) (mapc #'(lambda (x) (princ " / ") (prin1 x)) l))
-
-(defun trblanks (n) (do ((i 1 (1+ i))) ((> i n)) (princ " ")))
-
 \end{chunk}
 \section{Routines for inspecting and resetting total I/O system state}
 
-\begin{chunk}{*}
-(defun IOStat ()
-  "Tell me what the current state of the parsing world is."
-  (if (line-past-end-p Current-Line)
-    (format t "~&The current line is empty.~%")
-    (progn
-     (format t "~&The current line is:~%~%")
-     (Line-Print Current-Line)))
-  (if (or $BOOT $SPAD) (next-lines-show))
-  (token-stack-show)
-  nil)
-
-\end{chunk}
-
 bootlex
 \begin{chunk}{*}
 
-(defun Next-Lines-Show ()
-  (and Boot-Line-Stack (format t "Currently preparsed lines are:~%~%"))
-  (mapcar #'(lambda (line)
-              (format t "~&~5D> ~A~%" (car line) (cdr Line)))
-          Boot-Line-Stack))
-
 ; *** 1. BOOT file handling
 
-;(defmacro test (x &rest y)
-;  `(progn
-;     (setq spaderrorstream t)
-;     (in-boot)
-;     (initialize-preparse *terminal-io*)
-;     (,(intern (strconc "PARSE-" x)) . ,y)))
-
-;(defun |oldParserAutoloadOnceTrigger| () nil)
-
 ;; note that this is no longer called or used. Boot has been removed.
 (defun boot (&optional
               (*boot-input-file* nil)
@@ -607,31 +549,7 @@
 
 ; **** 5. BOOT Error Handling
 
-(defun SPAD-SYNTAX-ERROR (&rest byebye)
-  "Print syntax error indication, underline character, scrub line."
-  (BUMPERRORCOUNT '|syntax|)
-  (COND ((AND (EQ DEBUGMODE 'YES) (NOT(CONSOLEINPUTP IN-STREAM)))
-         (SPAD_LONG_ERROR))
-        ((SPAD_SHORT_ERROR)))
-  (IOClear)
-  (throw 'spad_reader nil))
-
-(defun SPAD_LONG_ERROR ()
-  (SPAD_ERROR_LOC SPADERRORSTREAM)
-  (iostat)
-  (unless (EQUAL OUT-STREAM SPADERRORSTREAM)
-    (SPAD_ERROR_LOC OUT-STREAM)
-    (TERPRI OUT-STREAM)))
-
-(defun SPAD_SHORT_ERROR ()
- (if (line-past-end-p Current-Line)
-    (format t "~&The current line is empty.~%")
-    (progn
-     (format t "~&The current line is:~%~%")
-     (Line-Print Current-Line))))
 
-(defun SPAD_ERROR_LOC (STR)
-  (format str "******** Boot Syntax Error detected ********"))
 
 
 ; NAME:     Def
@@ -668,7 +586,7 @@
 
 (defun MKPROGN (L) (MKPF L 'PROGN))
 
-(mapcar #'(lambda (x) (MAKEPROP (CAR X) 'RENAME (CDR X)))
+(mapcar #'(lambda (x) (setf (get (CAR X) 'RENAME) (CDR X)))
         '((|true| 'T) (|otherwise| 'T) (|false| NIL)
           (|and| AND) (|or| OR) (|is| IS)
           (|list| LIST) (|cons| CONS) 
@@ -1099,7 +1017,15 @@
 
 ;;;     ***       |parseBigelt| REDEFINED
 
-(DEFUN |parseBigelt| (#0=#:G166338) (PROG (|typ| |consForm|) (RETURN (PROGN (SPADLET |typ| (CAR #0#)) (SPADLET |consForm| (CADR #0#)) (CONS (CONS (QUOTE |elt|) (CONS |typ| (CONS (QUOTE |makeRecord|) NIL))) (|transUnCons| |consForm|)))))) 
+(DEFUN |parseBigelt| (arg)
+  (PROG (|typ| |consForm|)
+    (RETURN
+      (PROGN
+        (SPADLET |typ| (CAR arg))
+        (SPADLET |consForm| (CADR arg))
+        (CONS (CONS '|elt| (CONS |typ| (CONS '|makeRecord| NIL)))
+              (|transUnCons| |consForm|))))))
+
 ;
 ;transUnCons u ==
 ;  atom u => systemErrorHere '"transUnCons"
@@ -1112,7 +1038,37 @@
 
 ;;;     ***       |transUnCons| REDEFINED
 
-(DEFUN |transUnCons| (|u|) (PROG (|ISTMP#1| |x| |ISTMP#2| |y|) (RETURN (COND ((ATOM |u|) (|systemErrorHere| "transUnCons")) ((AND (PAIRP |u|) (EQ (QCAR |u|) (QUOTE APPEND)) (PROGN (SPADLET |ISTMP#1| (QCDR |u|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL) (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) (QUOTE T))))))) (COND ((NULL |y|) |x|) ((QUOTE T) (|systemErrorHere| "transUnCons")))) ((AND (PAIRP |u|) (EQ (QCAR |u|) (QUOTE CONS)) (PROGN (SPADLET |ISTMP#1| (QCDR |u|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |x| (QCAR |ISTMP#1|)) (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL) (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) (QUOTE T))))))) (COND ((ATOM |y|) (CONS |x| |y|)) ((QUOTE T) (CONS |x| (|transUnCons| |y|))))))))) 
+(DEFUN |transUnCons| (|u|)
+  (PROG (|ISTMP#1| |x| |ISTMP#2| |y|)
+    (RETURN
+      (COND
+        ((ATOM |u|) (|systemErrorHere| "transUnCons"))
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'APPEND)
+              (PROGN
+                (SPADLET |ISTMP#1| (QCDR |u|))
+                (AND (CONSP |ISTMP#1|)
+                     (PROGN
+                       (SPADLET |x| (QCAR |ISTMP#1|))
+                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                            (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) 'T))))))
+         (COND
+           ((NULL |y|) |x|)
+           ('T (|systemErrorHere| "transUnCons"))))
+        ((AND (CONSP |u|) (EQ (QCAR |u|) 'CONS)
+              (PROGN
+                (SPADLET |ISTMP#1| (QCDR |u|))
+                (AND (CONSP |ISTMP#1|)
+                     (PROGN
+                       (SPADLET |x| (QCAR |ISTMP#1|))
+                       (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
+                       (AND (CONSP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL)
+                            (PROGN (SPADLET |y| (QCAR |ISTMP#2|)) 'T))))))
+         (COND
+           ((ATOM |y|) (CONS |x| |y|))
+           ('T (CONS |x| (|transUnCons| |y|)))))))))
+
+
 ;
 ;parseTypeEvaluate form ==
 ;  form is [op,:argl] =>
@@ -1139,7 +1095,152 @@
 
 ;;;     ***       |parseTypeEvaluate| REDEFINED
 
-(DEFUN |parseTypeEvaluate| (|form|) (PROG (|$op| |op| |argl| |sel| |type| |fn| |p| |cmm| |ISTMP#1| |ISTMP#2| |argml|) (DECLARE (SPECIAL |$op|)) (RETURN (SEQ (COND ((AND (PAIRP |form|) (PROGN (SPADLET |op| (QCAR |form|)) (SPADLET |argl| (QCDR |form|)) (QUOTE T))) (COND ((|newType?| |op|) |form|) ((QUOTE T) (SPADLET |$op| |op|) (COND ((BOOT-EQUAL |op| (QUOTE |Mapping|)) (CONS |op| (PROG (#0=#:G166484) (SPADLET #0# NIL) (RETURN (DO ((#1=#:G166489 |argl| (CDR #1#)) (|a| NIL)) ((OR (ATOM #1#) (PROGN (SETQ |a| (CAR #1#)) NIL)) (NREVERSE0 #0#)) (SEQ (EXIT (SETQ #0# (CONS (|parseTypeEvaluate| |a|) #0#))))))))) ((BOOT-EQUAL |op| (QUOTE |Union|)) (COND ((|isTaggedUnion| |form|) (CONS |op| (PROG (#2=#:G166500) (SPADLET #2# NIL) (RETURN (DO ((#3=#:G166506 |argl| (CDR #3#)) (#4=#:G166457 NIL)) ((OR (ATOM #3#) (PROGN (SETQ #4# (CAR #3#)) NIL) (PROGN (PROGN (SPADLET |sel| (CADR #4#)) (SPADLET |type| (CADDR #4#)) #4#) NIL)) (NREVERSE0 #2#)) (SEQ (EXIT (SETQ #2# (CONS (CONS (QUOTE |:|) (CONS |sel| (CONS (|parseTypeEvaluate| |type|) NIL))) #2#))))))))) ((QUOTE T) (CONS |op| (PROG (#5=#:G166517) (SPADLET #5# NIL) (RETURN (DO ((#6=#:G166522 |argl| (CDR #6#)) (|a| NIL)) ((OR (ATOM #6#) (PROGN (SETQ |a| (CAR #6#)) NIL)) (NREVERSE0 #5#)) (SEQ (EXIT (SETQ #5# (CONS (|parseTypeEvaluate| |a|) #5#))))))))))) ((BOOT-EQUAL |op| (QUOTE |Record|)) (CONS |op| (PROG (#7=#:G166533) (SPADLET #7# NIL) (RETURN (DO ((#8=#:G166539 |argl| (CDR #8#)) (#9=#:G166462 NIL)) ((OR (ATOM #8#) (PROGN (SETQ #9# (CAR #8#)) NIL) (PROGN (PROGN (SPADLET |sel| (CADR #9#)) (SPADLET |type| (CADDR #9#)) #9#) NIL)) (NREVERSE0 #7#)) (SEQ (EXIT (SETQ #7# (CONS (CONS (QUOTE |:|) (CONS |sel| (CONS (|parseTypeEvaluate| |type|) NIL))) #7#))))))))) ((QUOTE T) (SPADLET |cmm| (SEQ (COND ((SPADLET |fn| (|constructor?| |op|)) (COND ((SPADLET |p| (|pathname| (CONS |fn| (CONS |$spadLibFT| (CONS "*" NIL))))) (EXIT (COND ((|isExistingFile| |p|) (|getConstructorModemap| (|abbreviation?| |fn|))) ((QUOTE T) NIL)))))) ((QUOTE T) NIL)))) (COND ((AND (PAIRP |cmm|) (PROGN (SPADLET |ISTMP#1| (QCAR |cmm|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (PROGN (SPADLET |argml| (QCDR |ISTMP#2|)) (QUOTE T))))))) (CONS |op| (|parseTypeEvaluateArgs| |argl| |argml|))) ((QUOTE T) (|throwKeyedMsg| (QUOTE S2IL0015) (CONS |op| NIL))))))))) ((QUOTE T) |form|)))))) 
+(DEFUN |parseTypeEvaluate| (|form|)
+  (PROG (|$op| |op| |argl| |sel| |type| |fn| |p| |cmm| |ISTMP#1|
+               |ISTMP#2| |argml|)
+    (DECLARE (SPECIAL |$op|))
+    (RETURN
+      (SEQ (COND
+             ((AND (CONSP |form|)
+                   (PROGN
+                     (SPADLET |op| (QCAR |form|))
+                     (SPADLET |argl| (QCDR |form|))
+                     'T))
+      (SPADLET |$op| |op|)
+      (COND
+       ((BOOT-EQUAL |op| '|Mapping|)
+        (CONS |op|
+                          (PROG (tpd1)
+                            (SPADLET tpd1 NIL)
+                            (RETURN
+                              (DO ((tpd2 |argl| (CDR tpd2))
+                                   (|a| NIL))
+                                  ((OR (ATOM tpd2)
+                                    (PROGN
+                                      (SETQ |a| (CAR tpd2))
+                                      NIL))
+                                   (NREVERSE0 tpd1))
+                                (SEQ (EXIT
+                                      (SETQ tpd1
+                                       (CONS (|parseTypeEvaluate| |a|)
+                                        tpd1)))))))))
+       ((BOOT-EQUAL |op| '|Union|)
+                    (COND
+                      ((|isTaggedUnion| |form|)
+                       (CONS |op|
+                             (PROG (tpd3)
+                               (SPADLET tpd3 NIL)
+                               (RETURN
+                                 (DO ((tpd4 |argl|
+                                       (CDR tpd4))
+                                      (tpd5 NIL))
+                                     ((OR (ATOM tpd4)
+                                       (PROGN
+                                         (SETQ tpd5
+                                          (CAR tpd4))
+                                         NIL)
+                                       (PROGN
+                                         (PROGN
+                                           (SPADLET |sel|
+                                            (CADR tpd5))
+                                           (SPADLET |type|
+                                            (CADDR tpd5))
+                                           tpd5)
+                                         NIL))
+                                      (NREVERSE0 tpd3))
+                                   (SEQ
+                                    (EXIT
+                                     (SETQ tpd3
+                                      (CONS
+                                       (CONS '|:|
+                                        (CONS |sel|
+                                         (CONS
+                                          (|parseTypeEvaluate| |type|)
+                                          NIL)))
+                                       tpd3)))))))))
+                      ('T
+                       (CONS |op|
+                             (PROG (tpd6)
+                               (SPADLET tpd6 NIL)
+                               (RETURN
+                                 (DO ((tpd7 |argl|
+                                       (CDR tpd7))
+                                      (|a| NIL))
+                                     ((OR (ATOM tpd7)
+                                       (PROGN
+                                         (SETQ |a| (CAR tpd7))
+                                         NIL))
+                                      (NREVERSE0 tpd6))
+                                   (SEQ
+                                    (EXIT
+                                     (SETQ tpd6
+                                      (CONS (|parseTypeEvaluate| |a|)
+                                       tpd6)))))))))))
+       ((BOOT-EQUAL |op| '|Record|)
+                    (CONS |op|
+                          (PROG (tpd8)
+                            (SPADLET tpd8 NIL)
+                            (RETURN
+                              (DO ((tpd9 |argl| (CDR tpd9))
+                                   (tpda NIL))
+                                  ((OR (ATOM tpd9)
+                                    (PROGN
+                                      (SETQ tpda (CAR tpd9))
+                                      NIL)
+                                    (PROGN
+                                      (PROGN
+                                        (SPADLET |sel|
+                                         (CADR tpda))
+                                        (SPADLET |type|
+                                         (CADDR tpda))
+                                        tpda)
+                                      NIL))
+                                   (NREVERSE0 tpd8))
+                                (SEQ (EXIT
+                                      (SETQ tpd8
+                                       (CONS
+                                        (CONS '|:|
+                                         (CONS |sel|
+                                          (CONS
+                                           (|parseTypeEvaluate| |type|)
+                                           NIL)))
+                                        tpd8)))))))))
+       ('T
+                    (SPADLET |cmm|
+                             (SEQ (COND
+                                    ((SPADLET |fn|
+                                      (|constructor?| |op|))
+                                     (COND
+                                       ((SPADLET |p|
+                                         (|pathname|
+                                          (CONS |fn|
+                                           (CONS |$spadLibFT|
+                                            (CONS "*" NIL)))))
+                                        (EXIT
+                                         (COND
+                                           ((|isExistingFile| |p|)
+                                            (|getConstructorModemap|
+                                             (|abbreviation?| |fn|)))
+                                           ('T NIL))))))
+                                    ('T NIL))))
+                    (COND
+                      ((AND (CONSP |cmm|)
+                            (PROGN
+                              (SPADLET |ISTMP#1| (QCAR |cmm|))
+                              (AND (CONSP |ISTMP#1|)
+                                   (PROGN
+                                     (SPADLET |ISTMP#2|
+                                      (QCDR |ISTMP#1|))
+                                     (AND (CONSP |ISTMP#2|)
+                                      (PROGN
+                                        (SPADLET |argml|
+                                         (QCDR |ISTMP#2|))
+                                        'T))))))
+                       (CONS |op|
+                             (|parseTypeEvaluateArgs| |argl| |argml|)))
+                      ('T (|throwKeyedMsg| 'S2IL0015 (CONS |op| NIL)))))))
+             ('T |form|))))))
+
 ;
 ;parseTypeEvaluateArgs(argl,argml) ==
 ;  [argVal for arg in argl for md in argml for i in 1..] where argVal ==
@@ -1148,14 +1249,39 @@
 
 ;;;     ***       |parseTypeEvaluateArgs| REDEFINED
 
-(DEFUN |parseTypeEvaluateArgs| (|argl| |argml|) (PROG NIL (RETURN (SEQ (PROG (#0=#:G166576) (SPADLET #0# NIL) (RETURN (DO ((#1=#:G166583 |argl| (CDR #1#)) (|arg| NIL) (#2=#:G166584 |argml| (CDR #2#)) (|md| NIL) (|i| 1 (QSADD1 |i|))) ((OR (ATOM #1#) (PROGN (SETQ |arg| (CAR #1#)) NIL) (ATOM #2#) (PROGN (SETQ |md| (CAR #2#)) NIL)) (NREVERSE0 #0#)) (SEQ (EXIT (SETQ #0# (CONS (COND ((|isCategoryForm| |md| |$CategoryFrame|) (|parseTypeEvaluate| |arg|)) ((QUOTE T) |arg|)) #0#))))))))))) 
+(DEFUN |parseTypeEvaluateArgs| (|argl| |argml|)
+  (PROG ()
+    (RETURN
+      (SEQ (PROG (tpdb)
+             (SPADLET tpdb NIL)
+             (RETURN
+               (DO ((tpdc |argl| (CDR tpdc)) (|arg| NIL)
+                    (tpdd |argml| (CDR tpdd)) (|md| NIL)
+                    (|i| 1 (QSADD1 |i|)))
+                   ((OR (ATOM tpdc)
+                        (PROGN (SETQ |arg| (CAR tpdc)) NIL)
+                        (ATOM tpdd)
+                        (PROGN (SETQ |md| (CAR tpdd)) NIL))
+                    (NREVERSE0 tpdb))
+                 (SEQ (EXIT (SETQ tpdb
+                                  (CONS (COND
+                                          ((|isCategoryForm| |md|
+                                            |$CategoryFrame|)
+                                           (|parseTypeEvaluate| |arg|))
+                                          ('T |arg|))
+                                        tpdb)))))))))))
+
+
 ;
 ;
 ;parseTypeError(x,md,i) == throwKeyedMsg("S2IP0003",[i,$op,md])
 
 ;;;     ***       |parseTypeError| REDEFINED
 
-(DEFUN |parseTypeError| (|x| |md| |i|) (|throwKeyedMsg| (QUOTE S2IP0003) (CONS |i| (CONS |$op| (CONS |md| NIL))))) 
+(DEFUN |parseTypeError| (|x| |md| |i|)
+  (|throwKeyedMsg| 'S2IP0003 (CONS |i| (CONS |$op| (CONS |md| NIL)))))
+
+
 ;
 ;specialModeTran form ==
 ;  form is [op,:argl] =>
@@ -1209,7 +1335,188 @@
 
 ;;;     ***       |specialModeTran| REDEFINED
 
-(DEFUN |specialModeTran| (|form|) (PROG (|op| |argl| |sop| |s0| |argKey| |numArgs| |zeroOrOne| |isDmp| |LETTMP#1| |vl| |extraDomain| |s3| |isUpOrMp| |domainPart| |argPart| |n| |polyForm|) (RETURN (SEQ (COND ((AND (PAIRP |form|) (PROGN (SPADLET |op| (QCAR |form|)) (SPADLET |argl| (QCDR |form|)) (QUOTE T))) (COND ((NULL (ATOM |op|)) |form|) ((BOOT-EQUAL (SPADLET |s0| (ELT (SPADLET |sop| (PNAME |op|)) 0)) (QUOTE *)) (SPADLET |n| (|#| |sop|)) (COND ((EQL |n| 1) |form|) ((QUOTE T) (SPADLET |argKey| (ELT |sop| 1)) (SPADLET |numArgs| (SPADDIFFERENCE (|#| |argl|) (COND ((BOOT-EQUAL |argKey| (QUOTE |1|)) 1) ((QUOTE T) 0)))) (SPADLET |zeroOrOne| (OR (BOOT-EQUAL |argKey| (QUOTE |0|)) (BOOT-EQUAL |argKey| (QUOTE |1|)))) (SPADLET |isDmp| (COND ((> 10 |numArgs|) (AND (EQL |n| 6) (BOOT-EQUAL "DMP" (SUBSTRING |sop| 3 3)) |zeroOrOne|)) ((QUOTE T) (AND (EQL |n| 7) (BOOT-EQUAL "DMP" (SUBSTRING |sop| 4 3)) |zeroOrOne|)))) (COND (|isDmp| (COND ((BOOT-EQUAL |argKey| (QUOTE |0|)) (SPADLET |extraDomain| |$EmptyMode|) (SPADLET |vl| |argl|)) ((QUOTE T) (SPADLET |LETTMP#1| (REVERSE |argl|)) (SPADLET |extraDomain| (CAR |LETTMP#1|)) (SPADLET |vl| (NREVERSE (CDR |LETTMP#1|))) |argl|)) (CONS (QUOTE |DistributedMultivariatePolynomial|) (CONS (CONS (QUOTE |construct|) |vl|) (CONS (|specialModeTran| |extraDomain|) NIL)))) ((AND (EQL |n| 4) (BOOT-EQUAL (SPADLET |s3| (ELT |sop| 3)) (QUOTE M)) |zeroOrOne|) (|specialModeTran| (PROGN (SPADLET |extraDomain| (COND ((BOOT-EQUAL |argKey| (QUOTE |0|)) (CONS |$EmptyMode| NIL)) ((QUOTE T) NIL))) (COND ((EQL (SPADLET |n| (PARSE-INTEGER (PNAME (ELT |sop| 2)))) 1) (CONS (QUOTE |SquareMatrix|) (APPEND |argl| |extraDomain|))) ((EQL |n| 2) (CONS (QUOTE |RectangularMatrix|) (APPEND |argl| |extraDomain|))) ((QUOTE T) |form|))))) ((QUOTE T) (SPADLET |isUpOrMp| (COND ((> 10 |numArgs|) (OR (AND (EQL |n| 4) (BOOT-EQUAL (SPADLET |s3| (ELT |sop| 3)) (QUOTE P)) |zeroOrOne|) (AND (EQL |n| 5) (BOOT-EQUAL (SPADLET |s3| (ELT |sop| 3)) (QUOTE R)) (BOOT-EQUAL (ELT |sop| 4) (QUOTE F)) |zeroOrOne|))) ((QUOTE T) (OR (AND (EQL |n| 5) (BOOT-EQUAL (SPADLET |s3| (ELT |sop| 4)) (QUOTE P)) |zeroOrOne|) (AND (EQL |n| 6) (BOOT-EQUAL (SPADLET |s3| (ELT |sop| 4)) (QUOTE R)) (BOOT-EQUAL (ELT |sop| 5) (QUOTE F)) |zeroOrOne|))))) (COND (|isUpOrMp| (SPADLET |polyForm| (PROGN (SPADLET |domainPart| (COND ((BOOT-EQUAL |argKey| (QUOTE |0|)) |$EmptyMode|) ((QUOTE T) (|last| |argl|)))) (SPADLET |argPart| (COND ((BOOT-EQUAL |argKey| (QUOTE |0|)) |argl|) ((QUOTE T) (DROP (SPADDIFFERENCE 1) |argl|)))) (COND ((AND (> 10 |numArgs|) (EQL (SPADLET |n| (PARSE-INTEGER (PNAME (ELT |sop| 2)))) 1)) (CONS (QUOTE UP) (APPEND |argPart| (CONS |domainPart| NIL)))) ((QUOTE T) (CONS (QUOTE MP) (CONS (CONS (QUOTE |construct|) |argPart|) (CONS |domainPart| NIL))))))) (|specialModeTran| (COND ((BOOT-EQUAL |s3| (QUOTE R)) (CONS |$QuotientField| (CONS |polyForm| NIL))) ((QUOTE T) |polyForm|)))) ((QUOTE T) (CONS (CAR |form|) (PROG (#0=#:G166626) (SPADLET #0# NIL) (RETURN (DO ((#1=#:G166631 (CDR |form|) (CDR #1#)) (|x| NIL)) ((OR (ATOM #1#) (PROGN (SETQ |x| (CAR #1#)) NIL)) (NREVERSE0 #0#)) (SEQ (EXIT (SETQ #0# (CONS (|specialModeTran| |x|) #0#))))))))))))))) ((QUOTE T) (CONS (CAR |form|) (PROG (#2=#:G166641) (SPADLET #2# NIL) (RETURN (DO ((#3=#:G166646 (CDR |form|) (CDR #3#)) (|x| NIL)) ((OR (ATOM #3#) (PROGN (SETQ |x| (CAR #3#)) NIL)) (NREVERSE0 #2#)) (SEQ (EXIT (SETQ #2# (CONS (|specialModeTran| |x|) #2#))))))))))) ((QUOTE T) |form|)))))) 
+(DEFUN |specialModeTran| (|form|)
+  (PROG (|op| |argl| |sop| |s0| |argKey| |numArgs| |zeroOrOne| |isDmp|
+              |LETTMP#1| |vl| |extraDomain| |s3| |isUpOrMp|
+              |domainPart| |argPart| |n| |polyForm|)
+    (RETURN
+      (SEQ (COND
+             ((AND (CONSP |form|)
+                   (PROGN
+                     (SPADLET |op| (QCAR |form|))
+                     (SPADLET |argl| (QCDR |form|))
+                     'T))
+              (COND
+                ((NULL (ATOM |op|)) |form|)
+                ((BOOT-EQUAL
+                     (SPADLET |s0|
+                              (ELT (SPADLET |sop| (PNAME |op|)) 0))
+                     '*)
+                 (SPADLET |n| (|#| |sop|))
+                 (COND
+                   ((EQL |n| 1) |form|)
+                   ('T (SPADLET |argKey| (ELT |sop| 1))
+                    (SPADLET |numArgs|
+                             (SPADDIFFERENCE (|#| |argl|)
+                                 (COND
+                                   ((BOOT-EQUAL |argKey| '|1|) 1)
+                                   ('T 0))))
+                    (SPADLET |zeroOrOne|
+                             (OR (BOOT-EQUAL |argKey| '|0|)
+                                 (BOOT-EQUAL |argKey| '|1|)))
+                    (SPADLET |isDmp|
+                             (COND
+                               ((> 10 |numArgs|)
+                                (AND (EQL |n| 6)
+                                     (BOOT-EQUAL "DMP"
+                                      (SUBSTRING |sop| 3 3))
+                                     |zeroOrOne|))
+                               ('T
+                                (AND (EQL |n| 7)
+                                     (BOOT-EQUAL "DMP"
+                                      (SUBSTRING |sop| 4 3))
+                                     |zeroOrOne|))))
+                    (COND
+                      (|isDmp| (COND
+                                 ((BOOT-EQUAL |argKey| '|0|)
+                                  (SPADLET |extraDomain| |$EmptyMode|)
+                                  (SPADLET |vl| |argl|))
+                                 ('T
+                                  (SPADLET |LETTMP#1| (REVERSE |argl|))
+                                  (SPADLET |extraDomain|
+                                           (CAR |LETTMP#1|))
+                                  (SPADLET |vl|
+                                           (NREVERSE (CDR |LETTMP#1|)))
+                                  |argl|))
+                               (CONS '|DistributedMultivariatePolynomial|
+                                     (CONS (CONS '|construct| |vl|)
+                                      (CONS
+                                       (|specialModeTran|
+                                        |extraDomain|)
+                                       NIL))))
+                      ((AND (EQL |n| 4)
+                            (BOOT-EQUAL (SPADLET |s3| (ELT |sop| 3))
+                                'M)
+                            |zeroOrOne|)
+                       (|specialModeTran|
+                           (PROGN
+                             (SPADLET |extraDomain|
+                                      (COND
+                                        ((BOOT-EQUAL |argKey| '|0|)
+                                         (CONS |$EmptyMode| NIL))
+                                        ('T NIL)))
+                             (COND
+                               ((EQL (SPADLET |n|
+                                      (PARSE-INTEGER
+                                       (PNAME (ELT |sop| 2))))
+                                     1)
+                                (CONS '|SquareMatrix|
+                                      (APPEND |argl| |extraDomain|)))
+                               ((EQL |n| 2)
+                                (CONS '|RectangularMatrix|
+                                      (APPEND |argl| |extraDomain|)))
+                               ('T |form|)))))
+                      ('T
+                       (SPADLET |isUpOrMp|
+                                (COND
+                                  ((> 10 |numArgs|)
+                                   (OR
+                                    (AND (EQL |n| 4)
+                                     (BOOT-EQUAL
+                                      (SPADLET |s3| (ELT |sop| 3)) 'P)
+                                     |zeroOrOne|)
+                                    (AND (EQL |n| 5)
+                                     (BOOT-EQUAL
+                                      (SPADLET |s3| (ELT |sop| 3)) 'R)
+                                     (BOOT-EQUAL (ELT |sop| 4) 'F)
+                                     |zeroOrOne|)))
+                                  ('T
+                                   (OR
+                                    (AND (EQL |n| 5)
+                                     (BOOT-EQUAL
+                                      (SPADLET |s3| (ELT |sop| 4)) 'P)
+                                     |zeroOrOne|)
+                                    (AND (EQL |n| 6)
+                                     (BOOT-EQUAL
+                                      (SPADLET |s3| (ELT |sop| 4)) 'R)
+                                     (BOOT-EQUAL (ELT |sop| 5) 'F)
+                                     |zeroOrOne|)))))
+                       (COND
+                         (|isUpOrMp|
+                             (SPADLET |polyForm|
+                                      (PROGN
+                                        (SPADLET |domainPart|
+                                         (COND
+                                           ((BOOT-EQUAL |argKey| '|0|)
+                                            |$EmptyMode|)
+                                           ('T (|last| |argl|))))
+                                        (SPADLET |argPart|
+                                         (COND
+                                           ((BOOT-EQUAL |argKey| '|0|)
+                                            |argl|)
+                                           ('T
+                                            (DROP (SPADDIFFERENCE 1)
+                                             |argl|))))
+                                        (COND
+                                          ((AND (> 10 |numArgs|)
+                                            (EQL
+                                             (SPADLET |n|
+                                              (PARSE-INTEGER
+                                               (PNAME (ELT |sop| 2))))
+                                             1))
+                                           (CONS 'UP
+                                            (APPEND |argPart|
+                                             (CONS |domainPart| NIL))))
+                                          ('T
+                                           (CONS 'MP
+                                            (CONS
+                                             (CONS '|construct|
+                                              |argPart|)
+                                             (CONS |domainPart| NIL)))))))
+                             (|specialModeTran|
+                                 (COND
+                                   ((BOOT-EQUAL |s3| 'R)
+                                    (CONS |$QuotientField|
+                                     (CONS |polyForm| NIL)))
+                                   ('T |polyForm|))))
+                         ('T
+                          (CONS (CAR |form|)
+                                (PROG (tpde)
+                                  (SPADLET tpde NIL)
+                                  (RETURN
+                                    (DO
+                                     ((tpdf (CDR |form|)
+                                       (CDR tpdf))
+                                      (|x| NIL))
+                                     ((OR (ATOM tpdf)
+                                       (PROGN
+                                         (SETQ |x| (CAR tpdf))
+                                         NIL))
+                                      (NREVERSE0 tpde))
+                                      (SEQ
+                                       (EXIT
+                                        (SETQ tpde
+                                         (CONS (|specialModeTran| |x|)
+                                          tpde)))))))))))))))
+                ('T
+                 (CONS (CAR |form|)
+                       (PROG (tpdg)
+                         (SPADLET tpdg NIL)
+                         (RETURN
+                           (DO ((tpdh (CDR |form|)
+                                    (CDR tpdh))
+                                (|x| NIL))
+                               ((OR (ATOM tpdh)
+                                    (PROGN
+                                      (SETQ |x| (CAR tpdh))
+                                      NIL))
+                                (NREVERSE0 tpdg))
+                             (SEQ (EXIT (SETQ tpdg
+                                         (CONS (|specialModeTran| |x|)
+                                          tpdg)))))))))))
+             ('T |form|))))))
+
+
 ;
 ;
 ;
@@ -1223,11 +1530,50 @@
 
 ;;;     ***       |parseCases,casefn| REDEFINED
 
-(DEFUN |parseCases,casefn| (|x| |ifExpr|) (PROG (|ISTMP#1| |a| |ISTMP#2| |b| |ISTMP#3| |c|) (RETURN (SEQ (IF (BOOT-EQUAL |ifExpr| (QUOTE |noBranch|)) (EXIT (CONS (QUOTE |ifClauseError|) (CONS |x| NIL)))) (IF (AND (PAIRP |ifExpr|) (EQ (QCAR |ifExpr|) (QUOTE IF)) (PROGN (SPADLET |ISTMP#1| (QCDR |ifExpr|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (PROGN (SPADLET |b| (QCAR |ISTMP#2|)) (SPADLET |ISTMP#3| (QCDR |ISTMP#2|)) (AND (PAIRP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL) (PROGN (SPADLET |c| (QCAR |ISTMP#3|)) (QUOTE T))))))))) (EXIT (CONS (QUOTE IF) (CONS (|parseTran| |a|) (CONS (|parseTran| |b|) (CONS (|parseCases,casefn| |x| |c|) NIL)))))) (EXIT (|postError| (CONS "   CASES format error: cases " (CONS |x| (CONS (QUOTE | of |) (CONS |ifExpr| NIL)))))))))) 
+(DEFUN |parseCases,casefn| (|x| |ifExpr|)
+  (PROG (|ISTMP#1| |a| |ISTMP#2| |b| |ISTMP#3| |c|)
+    (RETURN
+      (SEQ (IF (BOOT-EQUAL |ifExpr| '|noBranch|)
+               (EXIT (CONS '|ifClauseError| (CONS |x| NIL))))
+           (IF (AND (CONSP |ifExpr|) (EQ (QCAR |ifExpr|) 'IF)
+                    (PROGN
+                      (SPADLET |ISTMP#1| (QCDR |ifExpr|))
+                      (AND (CONSP |ISTMP#1|)
+                           (PROGN
+                             (SPADLET |a| (QCAR |ISTMP#1|))
+                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
+                             (AND (CONSP |ISTMP#2|)
+                                  (PROGN
+                                    (SPADLET |b| (QCAR |ISTMP#2|))
+                                    (SPADLET |ISTMP#3|
+                                     (QCDR |ISTMP#2|))
+                                    (AND (CONSP |ISTMP#3|)
+                                     (EQ (QCDR |ISTMP#3|) NIL)
+                                     (PROGN
+                                       (SPADLET |c| (QCAR |ISTMP#3|))
+                                       'T))))))))
+               (EXIT (CONS 'IF
+                           (CONS (|parseTran| |a|)
+                                 (CONS (|parseTran| |b|)
+                                       (CONS
+                                        (|parseCases,casefn| |x| |c|)
+                                        NIL))))))
+           (EXIT (|postError|
+                     (CONS "   CASES format error: cases "
+                           (CONS |x|
+                                 (CONS '| of | (CONS |ifExpr| NIL))))))))))
+
 
 ;;;     ***       |parseCases| REDEFINED
 
-(DEFUN |parseCases| (#0=#:G167006) (PROG (|expr| |ifClause|) (RETURN (PROGN (SPADLET |expr| (CAR #0#)) (SPADLET |ifClause| (CADR #0#)) (|parseCases,casefn| |expr| |ifClause|))))) 
+(DEFUN |parseCases| (arg)
+  (PROG (|expr| |ifClause|)
+    (RETURN
+      (PROGN
+        (SPADLET |expr| (CAR arg))
+        (SPADLET |ifClause| (CADR arg))
+        (|parseCases,casefn| |expr| |ifClause|)))))
+
 ;
 ;
 ;
@@ -1264,7 +1610,241 @@
 
 ;;;     ***       |transSeq| REDEFINED
 
-(DEFUN |transSeq| (|l|) (PROG (|item| |tail| |ISTMP#7| |p| |ISTMP#8| |ISTMP#9| |ISTMP#10| |ISTMP#11| |q| |ISTMP#12| |a| |ISTMP#2| |ISTMP#3| |ISTMP#4| |ISTMP#5| |ISTMP#6| |b| |y| |ISTMP#1| |s|) (RETURN (SEQ (COND ((NULL |l|) NIL) ((NULL (CDR |l|)) (|decExitLevel| (CAR |l|))) ((QUOTE T) (SPADLET |item| (CAR |l|)) (SPADLET |tail| (CDR |l|)) (COND ((AND (PAIRP |item|) (EQ (QCAR |item|) (QUOTE SEQ)) (PROGN (SPADLET |ISTMP#1| (QCDR |item|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|)) (QUOTE T)) (PAIRP |ISTMP#2|) (PROGN (SPADLET |ISTMP#3| (QCAR |ISTMP#2|)) (AND (PAIRP |ISTMP#3|) (EQ (QCAR |ISTMP#3|) (QUOTE |exit|)) (PROGN (SPADLET |ISTMP#4| (QCDR |ISTMP#3|)) (AND (PAIRP |ISTMP#4|) (EQUAL (QCAR |ISTMP#4|) 1) (PROGN (SPADLET |ISTMP#5| (QCDR |ISTMP#4|)) (AND (PAIRP |ISTMP#5|) (EQ (QCDR |ISTMP#5|) NIL) (PROGN (SPADLET |ISTMP#6| (QCAR |ISTMP#5|)) (AND (PAIRP |ISTMP#6|) (EQ (QCAR |ISTMP#6|) (QUOTE IF)) (PROGN (SPADLET |ISTMP#7| (QCDR |ISTMP#6|)) (AND (PAIRP |ISTMP#7|) (PROGN (SPADLET |p| (QCAR |ISTMP#7|)) (SPADLET |ISTMP#8| (QCDR |ISTMP#7|)) (AND (PAIRP |ISTMP#8|) (PROGN (SPADLET |ISTMP#9| (QCAR |ISTMP#8|)) (AND (PAIRP |ISTMP#9|) (EQ (QCAR |ISTMP#9|) (QUOTE |exit|)) (PROGN (SPADLET |ISTMP#10| (QCDR |ISTMP#9|)) (AND (PAIRP |ISTMP#10|) (EQUAL (QCAR |ISTMP#10|) 2) (PROGN (SPADLET |ISTMP#11| (QCDR |ISTMP#10|)) (AND (PAIRP |ISTMP#11|) (EQ (QCDR |ISTMP#11|) NIL) (PROGN (SPADLET |q| (QCAR |ISTMP#11|)) (QUOTE T)))))))) (PROGN (SPADLET |ISTMP#12| (QCDR |ISTMP#8|)) (AND (PAIRP |ISTMP#12|) (EQ (QCDR |ISTMP#12|) NIL) (EQ (QCAR |ISTMP#12|) (QUOTE |noBranch|)))))))))))))))) (PROGN (SPADLET |l| (QCDR |ISTMP#2|)) (QUOTE T)) (PROGN (SPADLET |l| (NREVERSE |l|)) (QUOTE T)))) (PROG (#0=#:G168041) (SPADLET #0# (QUOTE T)) (RETURN (DO ((#1=#:G168047 NIL (NULL #0#)) (#2=#:G168048 |l| (CDR #2#)) (|x| NIL)) ((OR #1# (ATOM #2#) (PROGN (SETQ |x| (CAR #2#)) NIL)) #0#) (SEQ (EXIT (SETQ #0# (AND #0# (AND (PAIRP |x|) (EQ (QCAR |x|) (QUOTE LET))))))))))) (CONS (QUOTE SEQ) (APPEND (PROG (#3=#:G168059) (SPADLET #3# NIL) (RETURN (DO ((#4=#:G168064 |l| (CDR #4#)) (|x| NIL)) ((OR (ATOM #4#) (PROGN (SETQ |x| (CAR #4#)) NIL)) (NREVERSE0 #3#)) (SEQ (EXIT (SETQ #3# (CONS (|decExitLevel| |x|) #3#))))))) (CONS (CONS (QUOTE |exit|) (CONS 1 (CONS (CONS (QUOTE IF) (CONS (|decExitLevel| |p|) (CONS (|decExitLevel| |q|) (CONS (|transSeq| |tail|) NIL)))) NIL))) NIL)))) ((AND (PAIRP |item|) (EQ (QCAR |item|) (QUOTE IF)) (PROGN (SPADLET |ISTMP#1| (QCDR |item|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (PROGN (SPADLET |ISTMP#3| (QCAR |ISTMP#2|)) (AND (PAIRP |ISTMP#3|) (EQ (QCAR |ISTMP#3|) (QUOTE |exit|)) (PROGN (SPADLET |ISTMP#4| (QCDR |ISTMP#3|)) (AND (PAIRP |ISTMP#4|) (EQUAL (QCAR |ISTMP#4|) 1) (PROGN (SPADLET |ISTMP#5| (QCDR |ISTMP#4|)) (AND (PAIRP |ISTMP#5|) (EQ (QCDR |ISTMP#5|) NIL) (PROGN (SPADLET |b| (QCAR |ISTMP#5|)) (QUOTE T)))))))) (PROGN (SPADLET |ISTMP#6| (QCDR |ISTMP#2|)) (AND (PAIRP |ISTMP#6|) (EQ (QCDR |ISTMP#6|) NIL) (EQ (QCAR |ISTMP#6|) (QUOTE |noBranch|))))))))) (CONS (QUOTE IF) (CONS (|decExitLevel| |a|) (CONS (|decExitLevel| |b|) (CONS (|transSeq| |tail|) NIL))))) ((AND (PAIRP |item|) (EQ (QCAR |item|) (QUOTE IF)) (PROGN (SPADLET |ISTMP#1| (QCDR |item|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |a| (QCAR |ISTMP#1|)) (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (EQ (QCAR |ISTMP#2|) (QUOTE |noBranch|)) (PROGN (SPADLET |ISTMP#3| (QCDR |ISTMP#2|)) (AND (PAIRP |ISTMP#3|) (EQ (QCDR |ISTMP#3|) NIL) (PROGN (SPADLET |ISTMP#4| (QCAR |ISTMP#3|)) (AND (PAIRP |ISTMP#4|) (EQ (QCAR |ISTMP#4|) (QUOTE |exit|)) (PROGN (SPADLET |ISTMP#5| (QCDR |ISTMP#4|)) (AND (PAIRP |ISTMP#5|) (EQUAL (QCAR |ISTMP#5|) 1) (PROGN (SPADLET |ISTMP#6| (QCDR |ISTMP#5|)) (AND (PAIRP |ISTMP#6|) (EQ (QCDR |ISTMP#6|) NIL) (PROGN (SPADLET |b| (QCAR |ISTMP#6|)) (QUOTE T))))))))))))))) (CONS (QUOTE IF) (CONS (|decExitLevel| |a|) (CONS (|transSeq| |tail|) (CONS (|decExitLevel| |b|) NIL))))) ((PROGN (SPADLET |ISTMP#1| (SPADLET |y| (|transSeq| |tail|))) (AND (PAIRP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) (QUOTE SEQ)) (PROGN (SPADLET |s| (QCDR |ISTMP#1|)) (QUOTE T)))) (CONS (QUOTE SEQ) (CONS |item| |s|))) ((QUOTE T) (CONS (QUOTE SEQ) (CONS |item| (CONS (CONS (QUOTE |exit|) (CONS 1 (CONS (|incExitLevel| |y|) NIL))) NIL))))))))))) 
+(DEFUN |transSeq| (|l|)
+  (PROG (|item| |tail| |ISTMP#7| |p| |ISTMP#8| |ISTMP#9| |ISTMP#10|
+                |ISTMP#11| |q| |ISTMP#12| |a| |ISTMP#2| |ISTMP#3|
+                |ISTMP#4| |ISTMP#5| |ISTMP#6| |b| |y| |ISTMP#1| |s|)
+    (RETURN
+      (SEQ (COND
+             ((NULL |l|) NIL)
+             ((NULL (CDR |l|)) (|decExitLevel| (CAR |l|)))
+             ('T (SPADLET |item| (CAR |l|)) (SPADLET |tail| (CDR |l|))
+              (COND
+                ((AND (CONSP |item|) (EQ (QCAR |item|) 'SEQ)
+                      (PROGN
+                        (SPADLET |ISTMP#1| (QCDR |item|))
+                        (AND (CONSP |ISTMP#1|)
+                             (PROGN
+                               (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|))
+                               'T)
+                             (CONSP |ISTMP#2|)
+                             (PROGN
+                               (SPADLET |ISTMP#3| (QCAR |ISTMP#2|))
+                               (AND (CONSP |ISTMP#3|)
+                                    (EQ (QCAR |ISTMP#3|) '|exit|)
+                                    (PROGN
+                                      (SPADLET |ISTMP#4|
+                                       (QCDR |ISTMP#3|))
+                                      (AND (CONSP |ISTMP#4|)
+                                       (EQUAL (QCAR |ISTMP#4|) 1)
+                                       (PROGN
+                                         (SPADLET |ISTMP#5|
+                                          (QCDR |ISTMP#4|))
+                                         (AND (CONSP |ISTMP#5|)
+                                          (EQ (QCDR |ISTMP#5|) NIL)
+                                          (PROGN
+                                            (SPADLET |ISTMP#6|
+                                             (QCAR |ISTMP#5|))
+                                            (AND (CONSP |ISTMP#6|)
+                                             (EQ (QCAR |ISTMP#6|) 'IF)
+                                             (PROGN
+                                               (SPADLET |ISTMP#7|
+                                                (QCDR |ISTMP#6|))
+                                               (AND (CONSP |ISTMP#7|)
+                                                (PROGN
+                                                  (SPADLET |p|
+                                                   (QCAR |ISTMP#7|))
+                                                  (SPADLET |ISTMP#8|
+                                                   (QCDR |ISTMP#7|))
+                                                  (AND
+                                                   (CONSP |ISTMP#8|)
+                                                   (PROGN
+                                                     (SPADLET |ISTMP#9|
+                                                      (QCAR |ISTMP#8|))
+                                                     (AND
+                                                      (CONSP |ISTMP#9|)
+                                                      (EQ
+                                                       (QCAR |ISTMP#9|)
+                                                       '|exit|)
+                                                      (PROGN
+                                                        (SPADLET
+                                                         |ISTMP#10|
+                                                         (QCDR
+                                                          |ISTMP#9|))
+                                                        (AND
+                                                         (CONSP
+                                                          |ISTMP#10|)
+                                                         (EQUAL
+                                                          (QCAR
+                                                           |ISTMP#10|)
+                                                          2)
+                                                         (PROGN
+                                                           (SPADLET
+                                                            |ISTMP#11|
+                                                            (QCDR
+                                                             |ISTMP#10|))
+                                                           (AND
+                                                            (CONSP
+                                                             |ISTMP#11|)
+                                                            (EQ
+                                                             (QCDR
+                                                              |ISTMP#11|)
+                                                             NIL)
+                                                            (PROGN
+                                                              (SPADLET
+                                                               |q|
+                                                               (QCAR
+                                                                |ISTMP#11|))
+                                                              'T)))))))
+                                                   (PROGN
+                                                     (SPADLET
+                                                      |ISTMP#12|
+                                                      (QCDR |ISTMP#8|))
+                                                     (AND
+                                                      (CONSP
+                                                       |ISTMP#12|)
+                                                      (EQ
+                                                       (QCDR
+                                                        |ISTMP#12|)
+                                                       NIL)
+                                                      (EQ
+                                                       (QCAR
+                                                        |ISTMP#12|)
+                                                       '|noBranch|)))))))))))))))
+                             (PROGN (SPADLET |l| (QCDR |ISTMP#2|)) 'T)
+                             (PROGN (SPADLET |l| (NREVERSE |l|)) 'T)))
+                      (PROG (tpdj)
+                        (SPADLET tpdj 'T)
+                        (RETURN
+                          (DO ((tpdk NIL (NULL tpdj))
+                               (tpdl |l| (CDR tpdl))
+                               (|x| NIL))
+                              ((OR tpdk (ATOM tpdl)
+                                   (PROGN
+                                     (SETQ |x| (CAR tpdl))
+                                     NIL))
+                               tpdj)
+                            (SEQ (EXIT (SETQ tpdj
+                                        (AND tpdj
+                                         (AND (CONSP |x|)
+                                          (EQ (QCAR |x|) 'LET))))))))))
+                 (CONS 'SEQ
+                       (APPEND (PROG (tpdm)
+                                 (SPADLET tpdm NIL)
+                                 (RETURN
+                                   (DO
+                                    ((tpdn |l| (CDR tpdn))
+                                     (|x| NIL))
+                                    ((OR (ATOM tpdn)
+                                      (PROGN
+                                        (SETQ |x| (CAR tpdn))
+                                        NIL))
+                                     (NREVERSE0 tpdm))
+                                     (SEQ
+                                      (EXIT
+                                       (SETQ tpdm
+                                        (CONS (|decExitLevel| |x|)
+                                         tpdm)))))))
+                               (CONS (CONS '|exit|
+                                      (CONS 1
+                                       (CONS
+                                        (CONS 'IF
+                                         (CONS (|decExitLevel| |p|)
+                                          (CONS (|decExitLevel| |q|)
+                                           (CONS (|transSeq| |tail|)
+                                            NIL))))
+                                        NIL)))
+                                     NIL))))
+                ((AND (CONSP |item|) (EQ (QCAR |item|) 'IF)
+                      (PROGN
+                        (SPADLET |ISTMP#1| (QCDR |item|))
+                        (AND (CONSP |ISTMP#1|)
+                             (PROGN
+                               (SPADLET |a| (QCAR |ISTMP#1|))
+                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
+                               (AND (CONSP |ISTMP#2|)
+                                    (PROGN
+                                      (SPADLET |ISTMP#3|
+                                       (QCAR |ISTMP#2|))
+                                      (AND (CONSP |ISTMP#3|)
+                                       (EQ (QCAR |ISTMP#3|) '|exit|)
+                                       (PROGN
+                                         (SPADLET |ISTMP#4|
+                                          (QCDR |ISTMP#3|))
+                                         (AND (CONSP |ISTMP#4|)
+                                          (EQUAL (QCAR |ISTMP#4|) 1)
+                                          (PROGN
+                                            (SPADLET |ISTMP#5|
+                                             (QCDR |ISTMP#4|))
+                                            (AND (CONSP |ISTMP#5|)
+                                             (EQ (QCDR |ISTMP#5|) NIL)
+                                             (PROGN
+                                               (SPADLET |b|
+                                                (QCAR |ISTMP#5|))
+                                               'T)))))))
+                                    (PROGN
+                                      (SPADLET |ISTMP#6|
+                                       (QCDR |ISTMP#2|))
+                                      (AND (CONSP |ISTMP#6|)
+                                       (EQ (QCDR |ISTMP#6|) NIL)
+                                       (EQ (QCAR |ISTMP#6|)
+                                        '|noBranch|))))))))
+                 (CONS 'IF
+                       (CONS (|decExitLevel| |a|)
+                             (CONS (|decExitLevel| |b|)
+                                   (CONS (|transSeq| |tail|) NIL)))))
+                ((AND (CONSP |item|) (EQ (QCAR |item|) 'IF)
+                      (PROGN
+                        (SPADLET |ISTMP#1| (QCDR |item|))
+                        (AND (CONSP |ISTMP#1|)
+                             (PROGN
+                               (SPADLET |a| (QCAR |ISTMP#1|))
+                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
+                               (AND (CONSP |ISTMP#2|)
+                                    (EQ (QCAR |ISTMP#2|) '|noBranch|)
+                                    (PROGN
+                                      (SPADLET |ISTMP#3|
+                                       (QCDR |ISTMP#2|))
+                                      (AND (CONSP |ISTMP#3|)
+                                       (EQ (QCDR |ISTMP#3|) NIL)
+                                       (PROGN
+                                         (SPADLET |ISTMP#4|
+                                          (QCAR |ISTMP#3|))
+                                         (AND (CONSP |ISTMP#4|)
+                                          (EQ (QCAR |ISTMP#4|) '|exit|)
+                                          (PROGN
+                                            (SPADLET |ISTMP#5|
+                                             (QCDR |ISTMP#4|))
+                                            (AND (CONSP |ISTMP#5|)
+                                             (EQUAL (QCAR |ISTMP#5|) 1)
+                                             (PROGN
+                                               (SPADLET |ISTMP#6|
+                                                (QCDR |ISTMP#5|))
+                                               (AND (CONSP |ISTMP#6|)
+                                                (EQ (QCDR |ISTMP#6|)
+                                                 NIL)
+                                                (PROGN
+                                                  (SPADLET |b|
+                                                   (QCAR |ISTMP#6|))
+                                                  'T))))))))))))))
+                 (CONS 'IF
+                       (CONS (|decExitLevel| |a|)
+                             (CONS (|transSeq| |tail|)
+                                   (CONS (|decExitLevel| |b|) NIL)))))
+                ((PROGN
+                   (SPADLET |ISTMP#1|
+                            (SPADLET |y| (|transSeq| |tail|)))
+                   (AND (CONSP |ISTMP#1|) (EQ (QCAR |ISTMP#1|) 'SEQ)
+                        (PROGN (SPADLET |s| (QCDR |ISTMP#1|)) 'T)))
+                 (CONS 'SEQ (CONS |item| |s|)))
+                ('T
+                 (CONS 'SEQ
+                       (CONS |item|
+                             (CONS (CONS '|exit|
+                                    (CONS 1
+                                     (CONS (|incExitLevel| |y|) NIL)))
+                                   NIL)))))))))))
+
 ;
 ;transCategoryItem x ==
 ;  x is ['SIGNATURE,lhs,rhs] =>
@@ -1288,7 +1868,78 @@
 
 ;;;     ***       |transCategoryItem| REDEFINED
 
-(DEFUN |transCategoryItem| (|x|) (PROG (|ISTMP#2| |y| |lhs| |ISTMP#1| |op| |argl| |m| |extra| |rhs|) (RETURN (SEQ (COND ((AND (PAIRP |x|) (EQ (QCAR |x|) (QUOTE SIGNATURE)) (PROGN (SPADLET |ISTMP#1| (QCDR |x|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |lhs| (QCAR |ISTMP#1|)) (SPADLET |ISTMP#2| (QCDR |ISTMP#1|)) (AND (PAIRP |ISTMP#2|) (EQ (QCDR |ISTMP#2|) NIL) (PROGN (SPADLET |rhs| (QCAR |ISTMP#2|)) (QUOTE T))))))) (COND ((AND (PAIRP |lhs|) (EQ (QCAR |lhs|) (QUOTE LISTOF)) (PROGN (SPADLET |y| (QCDR |lhs|)) (QUOTE T))) (PROG (#0=#:G168138) (SPADLET #0# NIL) (RETURN (DO ((#1=#:G168143 |y| (CDR #1#)) (|z| NIL)) ((OR (ATOM #1#) (PROGN (SETQ |z| (CAR #1#)) NIL)) #0#) (SEQ (EXIT (SETQ #0# (APPEND #0# (|transCategoryItem| (CONS (QUOTE SIGNATURE) (CONS |z| (CONS |rhs| NIL)))))))))))) ((ATOM |lhs|) (COND ((STRINGP |lhs|) (SPADLET |lhs| (INTERN |lhs|)))) (COND ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) (QUOTE |Mapping|)) (PROGN (SPADLET |m| (QCDR |rhs|)) (QUOTE T))) (COND ((AND (PAIRP |m|) (PROGN (SPADLET |ISTMP#1| (QCDR |m|)) (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL) (EQ (QCAR |ISTMP#1|) (QUOTE |constant|))))) (LIST (CONS (QUOTE SIGNATURE) (CONS |lhs| (CONS (CONS (CAR |m|) NIL) (CONS (QUOTE |constant|) NIL)))))) ((QUOTE T) (LIST (CONS (QUOTE SIGNATURE) (CONS |lhs| (CONS |m| NIL))))))) ((QUOTE T) (SPADLET |$transCategoryAssoc| (CONS (CONS |lhs| |rhs|) |$transCategoryAssoc|)) NIL))) ((QUOTE T) (SPADLET |op| (CAR |lhs|)) (SPADLET |argl| (CDR |lhs|)) (SPADLET |extra| NIL) (COND ((AND (PAIRP |rhs|) (EQ (QCAR |rhs|) (QUOTE |Mapping|)) (PROGN (SPADLET |m| (QCDR |rhs|)) (QUOTE T))) (COND ((CDR |m|) (SPADLET |extra| (CDR |m|)))) (SPADLET |rhs| (CAR |m|)))) (LIST (CONS (QUOTE SIGNATURE) (CONS |op| (CONS (CONS |rhs| (SUBLIS |$transCategoryAssoc| |argl|)) |extra|))))))) ((QUOTE T) (LIST |x|))))))) 
+(DEFUN |transCategoryItem| (|x|)
+  (PROG (|ISTMP#2| |y| |lhs| |ISTMP#1| |op| |argl| |m| |extra| |rhs|)
+    (RETURN
+      (SEQ (COND
+             ((AND (CONSP |x|) (EQ (QCAR |x|) 'SIGNATURE)
+                   (PROGN
+                     (SPADLET |ISTMP#1| (QCDR |x|))
+                     (AND (CONSP |ISTMP#1|)
+                          (PROGN
+                            (SPADLET |lhs| (QCAR |ISTMP#1|))
+                            (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
+                            (AND (CONSP |ISTMP#2|)
+                                 (EQ (QCDR |ISTMP#2|) NIL)
+                                 (PROGN
+                                   (SPADLET |rhs| (QCAR |ISTMP#2|))
+                                   'T))))))
+              (COND
+                ((AND (CONSP |lhs|) (EQ (QCAR |lhs|) 'LISTOF)
+                      (PROGN (SPADLET |y| (QCDR |lhs|)) 'T))
+                 (PROG (tpdo)
+                   (SPADLET tpdo NIL)
+                   (RETURN
+                     (DO ((tpdp |y| (CDR tpdp)) (|z| NIL))
+                         ((OR (ATOM tpdp)
+                              (PROGN (SETQ |z| (CAR tpdp)) NIL))
+                          tpdo)
+                       (SEQ (EXIT (SETQ tpdo
+                                        (APPEND tpdo
+                                         (|transCategoryItem|
+                                          (CONS 'SIGNATURE
+                                           (CONS |z| (CONS |rhs| NIL))))))))))))
+                ((ATOM |lhs|)
+                 (COND
+                   ((STRINGP |lhs|) (SPADLET |lhs| (INTERN |lhs|))))
+                 (COND
+                   ((AND (CONSP |rhs|) (EQ (QCAR |rhs|) '|Mapping|)
+                         (PROGN (SPADLET |m| (QCDR |rhs|)) 'T))
+                    (COND
+                      ((AND (CONSP |m|)
+                            (PROGN
+                              (SPADLET |ISTMP#1| (QCDR |m|))
+                              (AND (CONSP |ISTMP#1|)
+                                   (EQ (QCDR |ISTMP#1|) NIL)
+                                   (EQ (QCAR |ISTMP#1|) '|constant|))))
+                       (LIST (CONS 'SIGNATURE
+                                   (CONS |lhs|
+                                    (CONS (CONS (CAR |m|) NIL)
+                                     (CONS '|constant| NIL))))))
+                      ('T
+                       (LIST (CONS 'SIGNATURE
+                                   (CONS |lhs| (CONS |m| NIL)))))))
+                   ('T
+                    (SPADLET |$transCategoryAssoc|
+                             (CONS (CONS |lhs| |rhs|)
+                                   |$transCategoryAssoc|))
+                    NIL)))
+                ('T (SPADLET |op| (CAR |lhs|))
+                 (SPADLET |argl| (CDR |lhs|)) (SPADLET |extra| NIL)
+                 (COND
+                   ((AND (CONSP |rhs|) (EQ (QCAR |rhs|) '|Mapping|)
+                         (PROGN (SPADLET |m| (QCDR |rhs|)) 'T))
+                    (COND ((CDR |m|) (SPADLET |extra| (CDR |m|))))
+                    (SPADLET |rhs| (CAR |m|))))
+                 (LIST (CONS 'SIGNATURE
+                             (CONS |op|
+                                   (CONS
+                                    (CONS |rhs|
+                                     (SUBLIS |$transCategoryAssoc|
+                                      |argl|))
+                                    |extra|)))))))
+             ('T (LIST |x|)))))))
+
 ;
 ;superSub(name,x) ==
 ;  for u in x repeat y:= [:y,:u]
@@ -1299,7 +1950,31 @@
 
 ;;;     ***       |superSub| REDEFINED
 
-(DEFUN |superSub| (|name| |x|) (PROG (|y| |ISTMP#1| |u| |code|) (RETURN (SEQ (PROGN (DO ((#0=#:G168177 |x| (CDR #0#)) (|u| NIL)) ((OR (ATOM #0#) (PROGN (SETQ |u| (CAR #0#)) NIL)) NIL) (SEQ (EXIT (SPADLET |y| (APPEND |y| |u|))))) (SPADLET |code| (COND ((AND (PAIRP |x|) (EQ (QCDR |x|) NIL) (PROGN (SPADLET |ISTMP#1| (QCAR |x|)) (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL) (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) (QUOTE T))))) |$quadSymbol|) ((QUOTE T) (STRCONC (QUOTE |(|) (|scriptTranRow| (CAR |x|)) (|scriptTran| (CDR |x|)) (QUOTE |)|))))) (CONS (INTERNL (PNAME |name|) (QUOTE $) |code|) |y|)))))) 
+(DEFUN |superSub| (|name| |x|)
+  (PROG (|y| |ISTMP#1| |u| |code|)
+    (RETURN
+      (SEQ (PROGN
+             (DO ((tpdq |x| (CDR tpdq)) (|u| NIL))
+                 ((OR (ATOM tpdq)
+                      (PROGN (SETQ |u| (CAR tpdq)) NIL))
+                  NIL)
+               (SEQ (EXIT (SPADLET |y| (APPEND |y| |u|)))))
+             (SPADLET |code|
+                      (COND
+                        ((AND (CONSP |x|) (EQ (QCDR |x|) NIL)
+                              (PROGN
+                                (SPADLET |ISTMP#1| (QCAR |x|))
+                                (AND (CONSP |ISTMP#1|)
+                                     (EQ (QCDR |ISTMP#1|) NIL)
+                                     (PROGN
+                                       (SPADLET |u| (QCAR |ISTMP#1|))
+                                       'T))))
+                         |$quadSymbol|)
+                        ('T
+                         (STRCONC '|(| (|scriptTranRow| (CAR |x|))
+                                  (|scriptTran| (CDR |x|)) '|)|))))
+             (CONS (INTERNL (PNAME |name|) '$ |code|) |y|))))))
+
 ;
 ;scriptTran x ==
 ;  null x => ""
@@ -1307,7 +1982,13 @@
 
 ;;;     ***       |scriptTran| REDEFINED
 
-(DEFUN |scriptTran| (|x|) (COND ((NULL |x|) (QUOTE ||)) ((QUOTE T) (STRCONC (QUOTE |;|) (|scriptTranRow| (CAR |x|)) (|scriptTran| (CDR |x|)))))) 
+(DEFUN |scriptTran| (|x|)
+  (COND
+    ((NULL |x|) '||)
+    ('T
+     (STRCONC '|;| (|scriptTranRow| (CAR |x|))
+              (|scriptTran| (CDR |x|))))))
+
 ;
 ;scriptTranRow x ==
 ;  null x => ""
@@ -1315,7 +1996,11 @@
 
 ;;;     ***       |scriptTranRow| REDEFINED
 
-(DEFUN |scriptTranRow| (|x|) (COND ((NULL |x|) (QUOTE ||)) ((QUOTE T) (STRCONC |$quadSymbol| (|scriptTranRow1| (CDR |x|)))))) 
+(DEFUN |scriptTranRow| (|x|)
+  (COND
+    ((NULL |x|) '||)
+    ('T (STRCONC |$quadSymbol| (|scriptTranRow1| (CDR |x|))))))
+
 ;
 ;scriptTranRow1 x ==
 ;  null x => ""
@@ -1323,101 +2008,14 @@
 
 ;;;     ***       |scriptTranRow1| REDEFINED
 
-(DEFUN |scriptTranRow1| (|x|) (COND ((NULL |x|) (QUOTE ||)) ((QUOTE T) (STRCONC (QUOTE |,|) |$quadSymbol| (|scriptTranRow1| (CDR |x|)))))) 
+(DEFUN |scriptTranRow1| (|x|)
+  (COND
+    ((NULL |x|) '||)
+    ('T (STRCONC '|,| |$quadSymbol| (|scriptTranRow1| (CDR |x|))))))
+
 ;
 ;;;Boot translation finished for parse.boot
 
-;postBlockItem x ==
-;  x:= postTran x
-;  x is ['Tuple,:l,[":",y,t]] and (and/[IDENTP x for x in l]) =>
-;    [":",['LISTOF,:l,y],t]
-;  x
-
-;;;     ***       |postBlockItem| REDEFINED
-
-(DEFUN |postBlockItem| (|x|) (PROG (|ISTMP#1| |ISTMP#2| |ISTMP#3| |ISTMP#4| |y| |ISTMP#5| |t| |l|) (RETURN (SEQ (PROGN (SPADLET |x| (|postTran| |x|)) (COND ((AND (PAIRP |x|) (EQ (QCAR |x|) (QUOTE |@Tuple|)) (PROGN (SPADLET |ISTMP#1| (QCDR |x|)) (AND (PAIRP |ISTMP#1|) (PROGN (SPADLET |ISTMP#2| (REVERSE |ISTMP#1|)) (QUOTE T)) (PAIRP |ISTMP#2|) (PROGN (SPADLET |ISTMP#3| (QCAR |ISTMP#2|)) (AND (PAIRP |ISTMP#3|) (EQ (QCAR |ISTMP#3|) (QUOTE |:|)) (PROGN (SPADLET |ISTMP#4| (QCDR |ISTMP#3|)) (AND (PAIRP |ISTMP#4|) (PROGN (SPADLET |y| (QCAR |ISTMP#4|)) (SPADLET |ISTMP#5| (QCDR |ISTMP#4|)) (AND (PAIRP |ISTMP#5|) (EQ (QCDR |ISTMP#5|) NIL) (PROGN (SPADLET |t| (QCAR |ISTMP#5|)) (QUOTE T)))))))) (PROGN (SPADLET |l| (QCDR |ISTMP#2|)) (QUOTE T)) (PROGN (SPADLET |l| (NREVERSE |l|)) (QUOTE T)))) (PROG (#0=#:G166534) (SPADLET #0# (QUOTE T)) (RETURN (DO ((#1=#:G166540 NIL (NULL #0#)) (#2=#:G166541 |l| (CDR #2#)) (|x| NIL)) ((OR #1# (ATOM #2#) (PROGN (SETQ |x| (CAR #2#)) NIL)) #0#) (SEQ (EXIT (SETQ #0# (AND #0# (IDENTP |x|))))))))) (CONS (QUOTE |:|) (CONS (CONS (QUOTE LISTOF) (APPEND |l| (CONS |y| NIL))) (CONS |t| NIL)))) ((QUOTE T) |x|))))))) 
-;postElt (u is [.,a,b]) ==
-;  a:= postTran a
-;  b is ['Sequence,:.] => [['elt,a,'makeRecord],:postTranList rest b]
-;  ['elt,a,postTran b]
-
-;;;     ***       |postElt| REDEFINED
-
-(DEFUN |postElt| (|u|) (PROG (|b| |a|) (RETURN (PROGN (SPADLET |a| (CADR |u|)) (SPADLET |b| (CADDR |u|)) (SPADLET |a| (|postTran| |a|)) (COND ((AND (PAIRP |b|) (EQ (QCAR |b|) (QUOTE |Sequence|))) (CONS (CONS (QUOTE |elt|) (CONS |a| (CONS (QUOTE |makeRecord|) NIL))) (|postTranList| (CDR |b|)))) ((QUOTE T) (CONS (QUOTE |elt|) (CONS |a| (CONS (|postTran| |b|) NIL))))))))) 
-;postForm (u is [op,:argl]) ==
-;  x:=
-;    atom op =>
-;      argl':= postTranList argl
-;      op':=
-;        true=> op
-;        $BOOT => op
-;        GET(op,'Led) or GET(op,'Nud) or op = 'IN => op
-;        numOfArgs:= (argl' is [['Tuple,:l]] => #l; 1)
-;        INTERNL("*",STRINGIMAGE numOfArgs,PNAME op)
-;      [op',:argl']
-;    op is ['Scripts,:.] => [:postTran op,:postTranList argl]
-;    u:= postTranList u
-;    if u is [['Tuple,:.],:.] then
-;      postError ['"  ",:bright u,
-;        '"is illegal because tuples cannot be applied!",'%l,
-;          '"   Did you misuse infix dot?"]
-;    u
-;  x is [.,['Tuple,:y]] => [first x,:y]
-;  x
-
-;;;     ***       |postForm| REDEFINED
-
-;postSEGMENT ['SEGMENT,a,b] ==
-;  key:= [a,'"..",:(b => [b]; nil)]
-;  postError ['"   Improper placement of segment",:bright key]
-
-;;;     ***       |postSEGMENT| REDEFINED
-
-(DEFUN |postSEGMENT| (#0=#:G167266) (PROG (|a| |b| |key|) (RETURN (PROGN (SPADLET |a| (CADR #0#)) (SPADLET |b| (CADDR #0#)) (SPADLET |key| (CONS |a| (CONS ".." (COND (|b| (CONS |b| NIL)) ((QUOTE T) NIL))))) (|postError| (CONS "   Improper placement of segment" (|bright| |key|))))))) 
-;postCollect [constructOp,:m,x] ==
-;  x is [['elt,D,'construct],:y] =>
-;    postCollect [['elt,D,'COLLECT],:m,['construct,:y]]
-;  itl:= postIteratorList m
-;  x:= (x is ['construct,r] => r; x)  --added 84/8/31
-;  y:= postTran x
-;  finish(constructOp,itl,y) where
-;    finish(op,itl,y) ==
-;      y is [":",a] => ['REDUCE,'append,0,[op,:itl,a]]
-;      y is ['Tuple,:l] =>
-;        newBody:=
-;          or/[x is [":",y] for x in l] => postMakeCons l
-;          or/[x is ['SEGMENT,:.] for x in l] => tuple2List l
-;          ['construct,:postTranList l]
-;        ['REDUCE,'append,0,[op,:itl,newBody]]
-;      [op,:itl,y]
-
-;SEGMENT(a,b) == [i for i in a..b]
-
-;;;     ***       SEGMENT REDEFINED
-
-(DEFUN SEGMENT (|a| |b|) (PROG NIL (RETURN (SEQ (PROG (#0=#:G167597) (SPADLET #0# NIL) (RETURN (DO ((|i| |a| (+ |i| 1))) ((> |i| |b|) (NREVERSE0 #0#)) (SEQ (EXIT (SETQ #0# (CONS |i| #0#))))))))))) 
-;postSequence ['Sequence,:l] == ['(elt $ makeRecord),:postTranList l]
-
-;;;     ***       |postSequence| REDEFINED
-
-(DEFUN |postSequence| (#0=#:G167652) (PROG (|l|) (RETURN (PROGN (SPADLET |l| (CDR #0#)) (CONS (QUOTE (|elt| $ |makeRecord|)) (|postTranList| |l|)))))) 
-;--------------------> NEW DEFINITION (see br-saturn.boot.pamphlet)
-;removeSuperfluousMapping sig1 ==
-;  --get rid of this asap
-;  sig1 is [x,:y] and x is ['Mapping,:.] => [rest x,:y]
-;  sig1
-
-;;;     ***       |removeSuperfluousMapping| REDEFINED
-
-(DEFUN |removeSuperfluousMapping| (|sig1|) (PROG (|x| |y|) (RETURN (COND ((AND (PAIRP |sig1|) (PROGN (SPADLET |x| (QCAR |sig1|)) (SPADLET |y| (QCDR |sig1|)) (QUOTE T)) (PAIRP |x|) (EQ (QCAR |x|) (QUOTE |Mapping|))) (CONS (CDR |x|) |y|)) ((QUOTE T) |sig1|))))) 
-;--u is ['Tuple,:l,a] => (--a:= postTran a; ['Tuple,:postTranList rest u])
-;    --RDJ: don't understand need for above statement that is commented out
-;isPackageType x == not CONTAINED("$",x)
-
-;;;     ***       |isPackageType| REDEFINED
-
-(DEFUN |isPackageType| (|x|) (NULL (CONTAINED (QUOTE $) |x|))) 
-;--% APL TRANSFORMATION OF INPUT
 \end{chunk}
 \eject
 \begin{thebibliography}{99}
diff -Nru axiom-20110301a/src/interp/patches.lisp.pamphlet axiom-20111101/src/interp/patches.lisp.pamphlet
--- axiom-20110301a/src/interp/patches.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/patches.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -273,20 +273,80 @@
 
 (|initializeTimedNames| |$interpreterTimedNames| |$interpreterTimedClasses|)
 
-(defun |rebuild| (filemode)
- "rebuild modemap.daase, exit lisp with bad return code on failure"
- (let ((returncode -16))
-  (unwind-protect
-   (let (|$databaseQueue| |$e|)
-    (declare (special |$databaseQueue| |$e|))
-    (|clearConstructorAndLisplibCaches|)
-    (setq |$databaseQueue| nil)
-    (setq |$e| (cons (cons nil nil) nil))
-    (|buildDatabase| filemode t)
-    (setq |$IOindex| 1)
-    (setq |$InteractiveFrame| (cons (cons nil nil) nil))
-    (setq returncode 0))
-   (unless (zerop returncode) (bye returncode)))))
+;buildDatabase(filemode,expensive) ==
+;  $InteractiveMode: local:= true
+;  $constructorList := nil       --looked at by buildLibdb
+;  $ConstructorCache:= MAKE_-HASHTABLE('ID)
+;  SAY '"Making constructor autoload"
+;  makeConstructorsAutoLoad()
+;  SAY '"Building category table"
+;  genCategoryTable()
+;  SAY '"Building libdb.text"
+;  buildLibdb()
+;  SAY '"splitting libdb.text"
+;  dbSplitLibdb()
+;  SAY '"creating browse constructor index"
+;  dbAugmentConstructorDataTable()
+;  SAY '"Building browse.lisp"
+;  buildBrowsedb()
+;  SAY '"Building constructor users database"
+;  mkUsersHashTable()
+;  SAY '"Saving constructor users database"
+;  saveUsersHashTable()
+;  SAY '"Building constructor dependents database"
+;  mkDependentsHashTable()
+;  SAY '"Saving constructor dependents database"
+;  saveDependentsHashTable()
+;  SAY '"Building glossary files"
+;  buildGloss()
+
+;(DEFUN |buildDatabase| (|filemode| |expensive|)
+;  (declare (ignore |filemode| |expensive|))
+;  (PROG (|$InteractiveMode|)
+;    (DECLARE (SPECIAL |$InteractiveMode| |$ConstructorCache|
+;                      |$constructorList|))
+;    (RETURN
+;      (PROGN
+;        (SPADLET |$InteractiveMode| 'T)
+;        (SPADLET |$constructorList| NIL)
+;        (SPADLET |$ConstructorCache| (MAKE-HASHTABLE 'ID))
+;        (SAY "Making constructor autoload")
+;        (|makeConstructorsAutoLoad|)
+;        (SAY "Building category table")
+;        (|genCategoryTable|)
+;        (SAY "Building libdb.text")
+;        (|buildLibdb|)
+;        (SAY "splitting libdb.text")
+;        (|dbSplitLibdb|)
+;        (SAY "creating browse constructor index")
+;        (|dbAugmentConstructorDataTable|)
+;        (SAY "Building browse.lisp")
+;        (|buildBrowsedb|)
+;        (SAY "Building constructor users database")
+;        (|mkUsersHashTable|)
+;        (SAY "Saving constructor users database")
+;        (|saveUsersHashTable|)
+;        (SAY "Building constructor dependents database")
+;        (|mkDependentsHashTable|)
+;        (SAY "Saving constructor dependents database")
+;        (|saveDependentsHashTable|)
+;        (SAY "Building glossary files")
+;        (|buildGloss|)))))
+;
+;(defun |rebuild| (filemode)
+; "rebuild modemap.daase, exit lisp with bad return code on failure"
+; (let ((returncode -16))
+;  (unwind-protect
+;   (let (|$databaseQueue| |$e|)
+;    (declare (special |$databaseQueue| |$e|))
+;    (|clearConstructorAndLisplibCaches|)
+;    (setq |$databaseQueue| nil)
+;    (setq |$e| (cons (cons nil nil) nil))
+;    (|buildDatabase| filemode t)
+;    (setq |$IOindex| 1)
+;    (setq |$InteractiveFrame| (cons (cons nil nil) nil))
+;    (setq returncode 0))
+;   (unless (zerop returncode) (bye returncode)))))
 
 (defun boot::|printCopyright| ()
  (format t "there is no such thing as a simple job -- ((iHy))~%"))
diff -Nru axiom-20110301a/src/interp/posit.lisp.pamphlet axiom-20111101/src/interp/posit.lisp.pamphlet
--- axiom-20110301a/src/interp/posit.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/posit.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -30,7 +30,7 @@
         ('T (|poNoPosition|))))))
 
 ;poIsPos? pos ==
-;    PAIRP pos and PAIRP CAR pos and LENGTH CAR pos = 5
+;    CONSP pos and CONSP CAR pos and LENGTH CAR pos = 5
  
 (DEFUN |poIsPos?| (|pos|)
   (PROG ()
diff -Nru axiom-20110301a/src/interp/record.lisp.pamphlet axiom-20111101/src/interp/record.lisp.pamphlet
--- axiom-20110301a/src/interp/record.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/record.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -487,11 +487,11 @@
                      NIL)
                   (SEQ (EXIT (|maPrin| |x|))))))
              (COND
-               ((AND (PAIRP |typePart|)
+               ((AND (CONSP |typePart|)
                      (PROGN
                        (SPADLET |oldtype| (QCAR |typePart|))
                        (SPADLET |ISTMP#1| (QCDR |typePart|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN
                               (SPADLET |newtype| (QCAR |ISTMP#1|))
                               'T)))
@@ -728,7 +728,7 @@
 (DEFUN |recordAndPrintTest,fn| (|x|)
   (PROG (|y| |r| |k| |u|)
     (RETURN
-      (SEQ (IF (AND (PAIRP |x|)
+      (SEQ (IF (AND (CONSP |x|)
                     (PROGN
                       (SPADLET |y| (QCAR |x|))
                       (SPADLET |r| (QCDR |x|))
diff -Nru axiom-20110301a/src/interp/simpbool.lisp.pamphlet axiom-20111101/src/interp/simpbool.lisp.pamphlet
--- axiom-20110301a/src/interp/simpbool.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/simpbool.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -159,7 +159,7 @@
                                     (SPADLET |u|
                                      (|andReduce| (|dnf2pf| |y|)
                                       |world|)))
-                           (AND (PAIRP |ISTMP#1|)
+                           (AND (CONSP |ISTMP#1|)
                                 (EQ (QCAR |ISTMP#1|) 'AND)
                                 (PROGN
                                   (SPADLET |v| (QCDR |ISTMP#1|))
@@ -183,10 +183,10 @@
   (PROG (|r| |s|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|) (EQ (QCAR |x|) 'AND)
+        ((AND (CONSP |x|) (EQ (QCAR |x|) 'AND)
               (PROGN (SPADLET |r| (QCDR |x|)) 'T))
          (COND
-           ((AND (PAIRP |y|) (EQ (QCAR |y|) 'AND)
+           ((AND (CONSP |y|) (EQ (QCAR |y|) 'AND)
                  (PROGN (SPADLET |s| (QCDR |y|)) 'T))
             (MKPF (S- |r| |s|) 'AND))
            ('T (MKPF (S- |r| (CONS |s| NIL)) 'AND))))
@@ -304,7 +304,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |h| (QCAR |x|))
                 (SPADLET |t| (QCDR |x|))
@@ -320,7 +320,7 @@
   (PROG (|a| |b|)
     (RETURN
       (COND
-        ((AND (PAIRP |x|)
+        ((AND (CONSP |x|)
               (PROGN
                 (SPADLET |a| (QCAR |x|))
                 (SPADLET |b| (QCDR |x|))
@@ -365,7 +365,7 @@
         ((NULL |a|) |b|)
         ('T
          (BOOT-EQUAL
-             (AND (PAIRP |a|) (EQ (QCDR |a|) NIL)
+             (AND (CONSP |a|) (EQ (QCDR |a|) NIL)
                   (PROGN (SPADLET |c| (QCAR |a|)) 'T))
              (|coafOrDnf| |c| |b|))
          (|coafOrDnf| (CAR |a|) (|orDnf| (CDR |a|) |b|)))))))
@@ -391,7 +391,7 @@
         ((OR (BOOT-EQUAL |a| '|false|) (BOOT-EQUAL |b| '|false|))
          '|false|)
         ((NULL |a|) '|false|)
-        ((AND (PAIRP |a|) (EQ (QCDR |a|) NIL)
+        ((AND (CONSP |a|) (EQ (QCDR |a|) NIL)
               (PROGN (SPADLET |c| (QCAR |a|)) 'T))
          (|coafAndDnf| |c| |b|))
         ('T (SPADLET |x| (|coafAndDnf| (CAR |a|) |b|))
@@ -415,7 +415,7 @@
         ((BOOT-EQUAL |l| '|true|) '|false|)
         ((BOOT-EQUAL |l| '|false|) '|true|)
         ((NULL |l|) '|true|)
-        ((AND (PAIRP |l|) (EQ (QCDR |l|) NIL)
+        ((AND (CONSP |l|) (EQ (QCDR |l|) NIL)
               (PROGN (SPADLET |x| (QCAR |l|)) 'T))
          (|notCoaf| |x|))
         ('T (|andDnf| (|notCoaf| (CAR |l|)) (|notDnf| (CDR |l|))))))))
@@ -542,7 +542,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |l|)
+        ((NULL (AND (CONSP |l|)
                     (PROGN
                       (SPADLET |h| (QCAR |l|))
                       (SPADLET |t| (QCDR |l|))
@@ -560,7 +560,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |l|)
+        ((NULL (AND (CONSP |l|)
                     (PROGN
                       (SPADLET |h| (QCAR |l|))
                       (SPADLET |t| (QCDR |l|))
@@ -578,7 +578,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |l|)
+        ((NULL (AND (CONSP |l|)
                     (PROGN
                       (SPADLET |h| (QCAR |l|))
                       (SPADLET |t| (QCDR |l|))
@@ -598,7 +598,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((AND (PAIRP |l|)
+        ((AND (CONSP |l|)
               (PROGN
                 (SPADLET |h| (QCAR |l|))
                 (SPADLET |t| (QCDR |l|))
@@ -617,7 +617,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((AND (PAIRP |l|)
+        ((AND (CONSP |l|)
               (PROGN
                 (SPADLET |h| (QCAR |l|))
                 (SPADLET |t| (QCDR |l|))
@@ -637,13 +637,13 @@
   (PROG (|c| |r| |d| |s|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |a|)
+        ((NULL (AND (CONSP |a|)
                     (PROGN
                       (SPADLET |c| (QCAR |a|))
                       (SPADLET |r| (QCDR |a|))
                       'T)))
          |b|)
-        ((NULL (AND (PAIRP |b|)
+        ((NULL (AND (CONSP |b|)
                     (PROGN
                       (SPADLET |d| (QCAR |b|))
                       (SPADLET |s| (QCDR |b|))
@@ -662,7 +662,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |a|)
+        ((NULL (AND (CONSP |a|)
                     (PROGN
                       (SPADLET |h| (QCAR |a|))
                       (SPADLET |t| (QCDR |a|))
@@ -680,7 +680,7 @@
   (PROG (|h| |t|)
     (RETURN
       (COND
-        ((NULL (AND (PAIRP |b|)
+        ((NULL (AND (CONSP |b|)
                     (PROGN
                       (SPADLET |h| (QCAR |b|))
                       (SPADLET |t| (QCDR |b|))
diff -Nru axiom-20110301a/src/interp/slam.lisp.pamphlet axiom-20111101/src/interp/slam.lisp.pamphlet
--- axiom-20110301a/src/interp/slam.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/slam.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -153,7 +153,7 @@
                        (COND
                          ((NULL |argl|)
                           (CONS NIL (CONS (CONS |auxfn| NIL) NIL)))
-                         ((AND (PAIRP |argl|) (EQ (QCDR |argl|) NIL))
+                         ((AND (CONSP |argl|) (EQ (QCDR |argl|) NIL))
                           (CONS (CONS |g1| (CONS '|envArg| NIL))
                                 (CONS (CONS |auxfn|
                                        (CONS |g1| (CONS '|envArg| NIL)))
@@ -321,7 +321,7 @@
                     (CONS (CONS '|envArg| NIL)
                           (CONS (CONS |auxfn| (CONS '|envArg| NIL))
                                 NIL)))
-                   ((AND (PAIRP |argl|) (EQ (QCDR |argl|) NIL))
+                   ((AND (CONSP |argl|) (EQ (QCDR |argl|) NIL))
                     (CONS (CONS |g1| (CONS '|envArg| NIL))
                           (CONS (CONS |auxfn|
                                       (CONS |g1| (CONS '|envArg| NIL)))
@@ -555,7 +555,7 @@
 ;        tripleCode
 ;      cacheResetCode := ['SETQ,stateNam,initialValueCode]
 ;      ['COND,[['NULL,['AND,['BOUNDP,MKQ stateNam], _
-;                          ['PAIRP,stateNam]]],    _
+;                          ['CONSP,stateNam]]],    _
 ;                 ['LET,stateVar,cacheResetCode]], _
 ;             [''T, ['LET,stateVar,stateNam]]]
 ;
@@ -633,7 +633,7 @@
                                              (SETQ G166269
                                               (CONS |x| G166269))))))))))
                          (COND
-                           ((AND (PAIRP |extraArguments|)
+                           ((AND (CONSP |extraArguments|)
                                  (EQ (QCDR |extraArguments|) NIL)
                                  (PROGN
                                    (SPADLET |x|
@@ -873,7 +873,7 @@
                                          (CONS 'BOUNDP
                                           (CONS (MKQ |stateNam|) NIL))
                                          (CONS
-                                          (CONS 'PAIRP
+                                          (CONS 'CONSP
                                            (CONS |stateNam| NIL))
                                           NIL)))
                                        NIL))
diff -Nru axiom-20110301a/src/interp/sys-pkg.lisp.pamphlet axiom-20111101/src/interp/sys-pkg.lisp.pamphlet
--- axiom-20110301a/src/interp/sys-pkg.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/sys-pkg.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -351,26 +351,27 @@
          VMLISP::RECLAIM VMLISP::ORADDTEMPDEFS VMLISP::NAMEDERRSET
          VMLISP::TRIMSTRING VMLISP::CURRINDEX VMLISP::EVALANDFILEACTQ
          VMLISP::LISPLIB VMLISP::FLUID VMLISP::MDEFX VMLISP::COMP370
-         VMLISP::NEQ VMLISP::GETREFV VMLISP::|log| VMLISP::QVSIZE
-         VMLISP::MBPIP VMLISP::RPLNODE VMLISP::QSORT
+         VMLISP::NEQ VMLISP::|log| VMLISP::QVSIZE
+         VMLISP::MBPIP VMLISP::QSORT
          VMLISP::PLACEP VMLISP::RREAD VMLISP::BINTP VMLISP::QSODDP
          VMLISP::O VMLISP::RVECP VMLISP::CHAR2NUM VMLISP::POPP
          VMLISP::QCDAADR VMLISP::HKEYS VMLISP::HASHCVEC VMLISP::HASHID
-         VMLISP::REMOVEQ VMLISP::LISTOFFUNCTIONS
+         VMLISP::LISTOFFUNCTIONS
          VMLISP::QCADAAR VMLISP::ABSVAL VMLISP::VMPRINT
          VMLISP::MAKE-APPENDSTREAM
          VMLISP::MAKE-INSTREAM VMLISP::HASHTABLEP VMLISP::UPCASE
          VMLISP::LOADCOND VMLISP::STRPOSL VMLISP::STATEP VMLISP::QCDADR
-         VMLISP::HREMPROP VMLISP::LAM VMLISP::FBPIP VMLISP::NCONC2
+         VMLISP::HREMPROP VMLISP::LAM VMLISP::FBPIP
          VMLISP::GETFULLSTR VMLISP::I VMLISP::HREM
          VMLISP::*LISP-BIN-FILETYPE* VMLISP::INT2RNUM VMLISP::EBCDIC
          VMLISP::$INFILEP VMLISP::BFP VMLISP::NUMP VMLISP::UNEMBED
-         VMLISP::PAIRP VMLISP::BOOLEANP VMLISP::FIX VMLISP::REMAINDER
+         VMLISP::BOOLEANP VMLISP::FIX VMLISP::REMAINDER
          VMLISP::RE-ENABLE-INT VMLISP::QCAADDR VMLISP::QCDDADR
          VMLISP::$LISTFILE VMLISP::IVECP VMLISP::LIST2VEC
          VMLISP::|LAM,FILEACTQ| VMLISP::LISTOFQUOTES
          VMLISP::$ERASE VMLISP::QSDEC1
-         VMLISP::QSSUB1 VMLISP::QCAR VMLISP::EVA1FUN VMLISP::IS-CONSOLE
+         VMLISP::QSSUB1 VMLISP::QCAR VMLISP::QFIRST
+         VMLISP::EVA1FUN VMLISP::IS-CONSOLE
          VMLISP::MAKESTRING VMLISP::CUROUTSTREAM VMLISP::QCDDDR
          VMLISP::QCDADAR VMLISP::MAKE-ABSOLUTE-FILENAME VMLISP::SUFFIX
          VMLISP::FUNARGP VMLISP::VM/ VMLISP::QRPLACA VMLISP::GGREATERP
@@ -383,21 +384,21 @@
          VMLISP::PROPLIST VMLISP::INTP VMLISP::OUTPUT VMLISP::CONSOLE
          VMLISP::QCDDDAR VMLISP::ADDOPTIONS VMLISP::$FILETYPE-TABLE
          VMLISP::QSMINUSP VMLISP::|assoc| VMLISP::SETSIZE VMLISP::QCDR
-         VMLISP::EFFACE VMLISP::COPY VMLISP::DOWNCASE VMLISP::LC2UC
+         VMLISP::COPY VMLISP::DOWNCASE VMLISP::LC2UC
          VMLISP::EMBED VMLISP::SETANDFILEQ VMLISP::QSMAX
          VMLISP::LIST2REFVEC VMLISP::MACRO-INVALIDARGS VMLISP::EMBEDDED
          VMLISP::REFVECP VMLISP::CLOSEDFN VMLISP::MAKE-HASHTABLE
          VMLISP::MAKE-FILENAME VMLISP::|$defaultMsgDatabaseName|
          VMLISP::LEXGREATERP
          VMLISP::IDENTP VMLISP::QSINC1 VMLISP::QESET VMLISP::MRP
-         VMLISP::LESSP VMLISP::RPLPAIR VMLISP::QVELT VMLISP::QRPLQ
+         VMLISP::LESSP VMLISP::QVELT VMLISP::QRPLQ
          VMLISP::MACERR VMLISP::*FILEACTQ-APPLY* VMLISP::HPUT*
          VMLISP::$FILEP VMLISP::MAKE-FULL-CVEC VMLISP::HCLEAR
          VMLISP::ERRORINSTREAM VMLISP::HPUTPROP 
          VMLISP::STRING2ID-N VMLISP::CALLBELOW VMLISP::BPINAME
          VMLISP::CHANGELENGTH VMLISP::ECQ VMLISP::OBEY VMLISP::QASSQ
          VMLISP::DCQ VMLISP::SHUT VMLISP::FILE VMLISP::HPUT
-         VMLISP::MAKEPROP VMLISP::GREATERP
+         VMLISP::GREATERP
          VMLISP::REROOT VMLISP::DIG2FIX VMLISP::L-CASE
          VMLISP::TEREAD VMLISP::QSREMAINDER VMLISP::$FINDFILE
          VMLISP::EQQ VMLISP::PRETTYPRINT VMLISP::HASHEQ VMLISP::LOG2
@@ -436,7 +437,7 @@
          VMLISP::QCAAR VMLISP::HCOUNT VMLISP::RCOPYITEMS
          VMLISP::QSMINUS VMLISP::EVA1 VMLISP::OPTIONLIST
          VMLISP::NUM2CHAR VMLISP::QENUM VMLISP::QEQQ
-         VMLISP::$TOTAL-GC-TIME VMLISP::CHARP VMLISP::QCADR
+         VMLISP::$TOTAL-GC-TIME VMLISP::CHARP VMLISP::QCADR VMLISP::QSECOND
          VMLISP::INTERSECTIONQ VMLISP::DSETQ VMLISP::FETCHCHAR
          VMLISP::STRCONC VMLISP::MACRO-MISSINGARGS VMLISP::RPACKFILE
          VMLISP::EXIT VMLISP::PLUS VMLISP::RKEYIDS
@@ -625,15 +626,19 @@
 (lisp:import '(vmlisp::printexp))
 (lisp:import '(vmlisp::qassq))
 (lisp:import '(vmlisp::qcar))
+(lisp:import '(vmlisp::qfirst))
 (lisp:import '(vmlisp::qcdr))
+(lisp:import '(vmlisp::qrest))
 (lisp:import '(vmlisp::qcaar))
 (lisp:import '(vmlisp::qcadr))
+(lisp:import '(vmlisp::qsecond))
 (lisp:import '(vmlisp::qcdar))
 (lisp:import '(vmlisp::qcddr))
 (lisp:import '(vmlisp::qcaaar))
 (lisp:import '(vmlisp::qcaadr))
 (lisp:import '(vmlisp::qcadar))
 (lisp:import '(vmlisp::qcaddr))
+(lisp:import '(vmlisp::qthird))
 (lisp:import '(vmlisp::qcdaar))
 (lisp:import '(vmlisp::qcdadr))
 (lisp:import '(vmlisp::qcddar))
@@ -646,6 +651,7 @@
 (lisp:import '(vmlisp::qcadadr))
 (lisp:import '(vmlisp::qcaddar))
 (lisp:import '(vmlisp::qcadddr))
+(lisp:import '(vmlisp::qfourth))
 (lisp:import '(vmlisp::qcdaaar))
 (lisp:import '(vmlisp::qcdaadr))
 (lisp:import '(vmlisp::qcdadar))
@@ -706,10 +712,8 @@
 (lisp:import '(vmlisp::shut))
 (lisp:import '(vmlisp::prin2cvec))
 (lisp:import '(vmlisp::ncons))
-(lisp:import '(vmlisp::rplpair))
 (lisp:import '(vmlisp::nump))
 (lisp:import '(vmlisp::intp))
-(lisp:import '(vmlisp::makeprop))
 (lisp:import '(vmlisp::ifcar))
 (lisp:import '(vmlisp::ifcdr))
 (lisp:import '(vmlisp::quotient))
@@ -719,7 +723,6 @@
 (lisp:import '(vmlisp::hkeys))
 (lisp:import '(vmlisp::$infilep))
 (lisp:import '(vmlisp::$findfile))
-(lisp:import '(vmlisp::pairp))
 (lisp:import '(vmlisp::cvec))
 (lisp:import '(vmlisp::uequal))
 (lisp:import '(vmlisp::id))
diff -Nru axiom-20110301a/src/interp/template.lisp.pamphlet axiom-20111101/src/interp/template.lisp.pamphlet
--- axiom-20110301a/src/interp/template.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/template.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -68,18 +68,18 @@
                                        (SPADLET |sig| (CAR |LETTMP#1|))
                                        (SPADLET |r| (CDR |LETTMP#1|))
                                        (COND
-                                         ((AND (PAIRP |r|)
+                                         ((AND (CONSP |r|)
                                            (PROGN
                                              (SPADLET |s| (QCDR |r|))
                                              'T))
                                           (COND
-                                            ((AND (PAIRP |s|)
+                                            ((AND (CONSP |s|)
                                               (PROGN
                                                 (SPADLET |t|
                                                  (QCDR |s|))
                                                 'T))
                                              (COND
-                                               ((AND (PAIRP |t|)
+                                               ((AND (CONSP |t|)
                                                  (EQ (QCDR |t|) NIL))
                                                 NIL)
                                                ('T
@@ -167,9 +167,9 @@
                 (COND
                   ((VECP (SPADLET |y| (ELT |dollar| |u|))) |y|)
                   ((|isDomain| |y|) |y|)
-                  ((AND (PAIRP |y|) (EQ (QCAR |y|) 'SETELT))
+                  ((AND (CONSP |y|) (EQ (QCAR |y|) 'SETELT))
                    (|eval| |y|))
-                  ((AND (PAIRP |y|)
+                  ((AND (CONSP |y|)
                         (PROGN (SPADLET |v| (QCAR |y|)) 'T))
                    (COND
                      ((VECP |v|) (|lazyDomainSet| |y| |dollar| |u|))
@@ -178,22 +178,22 @@
                       (|lazyDomainSet| |y| |dollar| |u|))
                      ('T |y|)))
                   ('T |y|)))
-               ((AND (PAIRP |u|) (EQ (QCAR |u|) 'NRTEVAL)
+               ((AND (CONSP |u|) (EQ (QCAR |u|) 'NRTEVAL)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |u|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
                 (COND
-                  ((AND (PAIRP |y|) (EQ (QCAR |y|) 'ELT))
+                  ((AND (CONSP |y|) (EQ (QCAR |y|) 'ELT))
                    (|evalSlotDomain| |y| |dollar|))
                   ('T (|eval| |y|))))
-               ((AND (PAIRP |u|) (EQ (QCAR |u|) 'QUOTE)
+               ((AND (CONSP |u|) (EQ (QCAR |u|) 'QUOTE)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |u|))
-                       (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                       (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                             (PROGN (SPADLET |y| (QCAR |ISTMP#1|)) 'T))))
                 |y|)
-               ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Record|)
+               ((AND (CONSP |u|) (EQ (QCAR |u|) '|Record|)
                      (PROGN (SPADLET |argl| (QCDR |u|)) 'T))
                 (FUNCALL '|Record0|
                          (PROG (G166199)
@@ -222,19 +222,19 @@
                                         (|evalSlotDomain| |dom|
                                          |dollar|))
                                        G166199)))))))))
-               ((AND (PAIRP |u|) (EQ (QCAR |u|) '|Union|)
+               ((AND (CONSP |u|) (EQ (QCAR |u|) '|Union|)
                      (PROGN (SPADLET |argl| (QCDR |u|)) 'T)
                      (PROGN
                        (SPADLET |ISTMP#1| (CAR |argl|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (EQ (QCAR |ISTMP#1|) '|:|)
                             (PROGN
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (PROGN
                                      (SPADLET |ISTMP#3|
                                       (QCDR |ISTMP#2|))
-                                     (AND (PAIRP |ISTMP#3|)
+                                     (AND (CONSP |ISTMP#3|)
                                       (EQ (QCDR |ISTMP#3|) NIL))))))))
                 (APPLY '|Union|
                        (PROG (G166217)
@@ -264,28 +264,28 @@
                                               |dollar|)
                                              NIL)))
                                           G166217)))))))))
-               ((AND (PAIRP |u|) (EQ (QCAR |u|) '|spadConstant|)
+               ((AND (CONSP |u|) (EQ (QCAR |u|) '|spadConstant|)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |d| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |n| (QCAR |ISTMP#2|))
                                      'T))))))
                 (SPADLET |dom| (|evalSlotDomain| |d| |dollar|))
                 (SPADCALL (ELT |dom| |n|)))
-               ((AND (PAIRP |u|) (EQ (QCAR |u|) 'ELT)
+               ((AND (CONSP |u|) (EQ (QCAR |u|) 'ELT)
                      (PROGN
                        (SPADLET |ISTMP#1| (QCDR |u|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN
                               (SPADLET |d| (QCAR |ISTMP#1|))
                               (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                              (AND (PAIRP |ISTMP#2|)
+                              (AND (CONSP |ISTMP#2|)
                                    (EQ (QCDR |ISTMP#2|) NIL)
                                    (PROGN
                                      (SPADLET |n| (QCAR |ISTMP#2|))
@@ -293,11 +293,11 @@
                 (SPADLET |dom| (|evalSlotDomain| |d| |dollar|))
                 (SPADLET |slot| (ELT |dom| |n|))
                 (COND
-                  ((AND (PAIRP |slot|) (EQ (QCAR |slot|) '|newGoGet|)
+                  ((AND (CONSP |slot|) (EQ (QCAR |slot|) '|newGoGet|)
                         (PROGN (SPADLET |env| (QCDR |slot|)) 'T))
                    (|replaceGoGetSlot| |env|))
                   ('T |slot|)))
-               ((AND (PAIRP |u|)
+               ((AND (CONSP |u|)
                      (PROGN
                        (SPADLET |op| (QCAR |u|))
                        (SPADLET |argl| (QCDR |u|))
@@ -390,7 +390,7 @@
             |sourceIndex| |uniqueSig|)
     (RETURN
       (SEQ (PROGN
-             (SPADLET |newVec| (GETREFV (SIZE |vec|)))
+             (SPADLET |newVec| (make-array (SIZE |vec|)))
              (DO ((G166343 (MAXINDEX |vec|))
                   (|index| 0 (QSADD1 |index|)))
                  ((QSGREATERP |index| G166343) NIL)
@@ -398,7 +398,7 @@
                             (SPADLET |item| (ELT |vec| |index|))
                             (COND
                               ((NULL |item|) NIL)
-                              ((AND (PAIRP |item|)
+                              ((AND (CONSP |item|)
                                     (EQ (QCAR |item|) '|local|))
                                NIL)
                               ('T
@@ -435,7 +435,7 @@
                                            (CONS |op|
                                             (CONS |uniqueSig|
                                              |sourceIndex|))))
-                                         ((AND (PAIRP |item|)
+                                         ((AND (CONSP |item|)
                                            (EQ (QCAR |item|) 'CONS))
                                           |item|)
                                          ('T (MKQ |item|))))))))))
@@ -472,33 +472,33 @@
              |y|)
            (SPADLET |uniqueSig| (|addConsDB| |sig|))
            (SPADLET |predCode| 0) (SPADLET |isConstant| NIL)
-           (IF (AND (PAIRP |r|)
+           (IF (AND (CONSP |r|)
                     (PROGN
                       (SPADLET |subSig| (QCAR |r|))
                       (SPADLET |ISTMP#1| (QCDR |r|))
-                      (AND (PAIRP |ISTMP#1|)
+                      (AND (CONSP |ISTMP#1|)
                            (PROGN
                              (SPADLET |pred| (QCAR |ISTMP#1|))
                              (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                             (AND (PAIRP |ISTMP#2|)
+                             (AND (CONSP |ISTMP#2|)
                                   (EQ (QCDR |ISTMP#2|) NIL)
                                   (EQ (QCAR |ISTMP#2|) '|Subsumed|))))))
                (EXIT (CONS |uniqueSig|
                            (CONS '|subsumed|
                                  (CONS (|addConsDB| |subSig|) NIL)))))
-           (IF (AND (PAIRP |r|)
+           (IF (AND (CONSP |r|)
                     (PROGN
                       (SPADLET |n| (QCAR |r|))
                       (SPADLET |s| (QCDR |r|))
                       'T))
                (SEQ (SPADLET |slot|
-                             (SEQ (IF (AND (PAIRP |n|)
+                             (SEQ (IF (AND (CONSP |n|)
                                        (PROGN
                                          (SPADLET |p| (QCAR |n|))
                                          'T))
                                       (EXIT |p|))
                                   (EXIT |n|)))
-                    (EXIT (IF (AND (PAIRP |s|)
+                    (EXIT (IF (AND (CONSP |s|)
                                    (PROGN
                                      (SPADLET |pred| (QCAR |s|))
                                      (SPADLET |t| (QCDR |s|))
@@ -510,7 +510,7 @@
                                      (EXIT (|mkUniquePred| |pred|))))
                                    (EXIT
                                     (IF
-                                     (AND (PAIRP |t|)
+                                     (AND (CONSP |t|)
                                       (EQUAL (QCAR |t|) 'CONST))
                                      (SPADLET |isConstant| 'T) NIL)))
                               NIL)))
@@ -595,7 +595,7 @@
     (RETURN
       (SEQ (PROGN
              (COND
-               ((AND (PAIRP |pred|)
+               ((AND (CONSP |pred|)
                      (PROGN
                        (SPADLET |op| (QCAR |pred|))
                        (SPADLET |u| (QCDR |pred|))
@@ -631,7 +631,7 @@
       (SEQ (PROGN
              (SPADLET |n| (MAXINDEX |v|))
              (SPADLET |m| (QUOTIENT (TIMES 7 |n|) 5))
-             (SPADLET |newVec| (GETREFV |m|))
+             (SPADLET |newVec| (make-array |m|))
              (DO ((|i| 0 (QSADD1 |i|))) ((QSGREATERP |i| |n|) NIL)
                (SEQ (EXIT (SETELT |newVec| |i| (ELT |v| |i|)))))
              |newVec|)))))
@@ -657,7 +657,7 @@
              (SPADLET |$predHash| (MAKE-HASHTABLE 'UEQUAL))
              (SPADLET |$consDB| (MAKE-HASHTABLE 'UEQUAL))
              (SPADLET |$predVectorFrontier| 1)
-             (SPADLET |$predVector| (GETREFV 100))
+             (SPADLET |$predVector| (make-array 100))
              (DO ((G166538 (|allConstructors|) (CDR G166538))
                   (|nam| NIL))
                  ((OR (ATOM G166538)
@@ -711,11 +711,11 @@
                                          (PROGN
                                            (|addConsDB| |sig|)
                                            (COND
-                                             ((AND (PAIRP |r|)
+                                             ((AND (CONSP |r|)
                                                (PROGN
                                                  (SPADLET |ISTMP#1|
                                                   (QCDR |r|))
-                                                 (AND (PAIRP |ISTMP#1|)
+                                                 (AND (CONSP |ISTMP#1|)
                                                   (PROGN
                                                     (SPADLET |pred|
                                                      (QCAR |ISTMP#1|))
@@ -733,7 +733,7 @@
   (PROG (|vec|)
     (RETURN
       (SEQ (PROGN
-             (SPADLET |vec| (GETREFV (QUOTIENT (TIMES 7 |n|) 5)))
+             (SPADLET |vec| (make-array (QUOTIENT (TIMES 7 |n|) 5)))
              (DO ((|i| 0 (QSADD1 |i|)) (G166599 |u| (CDR G166599))
                   (|x| NIL))
                  ((OR (ATOM G166599)
@@ -745,7 +745,7 @@
 ;squeezeConsDB u ==
 ;  fn u where fn u ==
 ;    VECP u => for i in 0..MAXINDEX u repeat fn u.i
-;    PAIRP u =>
+;    CONSP u =>
 ;      EQ(x := QCAR u,'QUOTE) => RPLAC(CADR u,addConsDB CADR u)
 ;      squeezeConsDB x
 ;      squeezeConsDB QCDR u
@@ -760,7 +760,7 @@
                           (|i| 0 (QSADD1 |i|)))
                          ((QSGREATERP |i| G166614) NIL)
                        (SEQ (EXIT (|squeezeConsDB,fn| (ELT |u| |i|)))))))
-           (IF (PAIRP |u|)
+           (IF (CONSP |u|)
                (EXIT (SEQ (IF (EQ (SPADLET |x| (QCAR |u|)) 'QUOTE)
                               (EXIT (RPLAC (CADR |u|)
                                      (|addConsDB| (CADR |u|)))))
@@ -790,7 +790,7 @@
 ;    min x ==
 ;      y:=HGET($consDB,x)
 ;      y => y
-;      PAIRP x =>
+;      CONSP x =>
 ;        for z in tails x repeat
 ;          u:=min CAR z
 ;          if not EQ(u,CAR z) then RPLACA(z,u)
@@ -820,7 +820,7 @@
   (declare (special |$consDB|))
     (RETURN
       (SEQ (SPADLET |y| (HGET |$consDB| |x|)) (IF |y| (EXIT |y|))
-           (IF (PAIRP |x|)
+           (IF (CONSP |x|)
                (EXIT (SEQ (DO ((|z| |x| (CDR |z|))) ((ATOM |z|) NIL)
                             (SEQ (SPADLET |u|
                                           (|addConsDB,min| (CAR |z|)))
@@ -867,32 +867,32 @@
     (RETURN
       (SEQ (COND
              ((NULL |u|) NIL)
-             ((AND (PAIRP |u|) (EQ (QCDR |u|) NIL)
+             ((AND (CONSP |u|) (EQ (QCDR |u|) NIL)
                    (EQ (QCAR |u|) 'LIST))
               NIL)
-             ((AND (PAIRP |u|)
+             ((AND (CONSP |u|)
                    (PROGN
                      (SPADLET |op| (QCAR |u|))
                      (SPADLET |ISTMP#1| (QCDR |u|))
-                     (AND (PAIRP |ISTMP#1|)
+                     (AND (CONSP |ISTMP#1|)
                           (PROGN
                             (SPADLET |ISTMP#2| (QCDR |ISTMP#1|))
-                            (AND (PAIRP |ISTMP#2|)
+                            (AND (CONSP |ISTMP#2|)
                                  (PROGN
                                    (SPADLET |i| (QCAR |ISTMP#2|))
                                    (SPADLET |ISTMP#3| (QCDR |ISTMP#2|))
-                                   (AND (PAIRP |ISTMP#3|)
+                                   (AND (CONSP |ISTMP#3|)
                                     (EQ (QCDR |ISTMP#3|) NIL)
                                     (PROGN
                                       (SPADLET |a| (QCAR |ISTMP#3|))
                                       'T)))))))
                    (member |op| '(SETELT QSETREFV)))
               (COND
-                ((AND (NULL |condList|) (PAIRP |a|)
+                ((AND (NULL |condList|) (CONSP |a|)
                       (EQ (QCAR |a|) 'CONS)
                       (PROGN
                         (SPADLET |ISTMP#1| (QCDR |a|))
-                        (AND (PAIRP |ISTMP#1|)
+                        (AND (CONSP |ISTMP#1|)
                              (PROGN
                                (SPADLET |fn| (QCAR |ISTMP#1|))
                                'T))))
@@ -900,11 +900,11 @@
                  (SETELT |$template| |i|
                          (COND
                            ((BOOT-EQUAL |fn| 'IDENTITY) |a|)
-                           ((AND (PAIRP |fn|)
+                           ((AND (CONSP |fn|)
                                  (EQ (QCAR |fn|) '|dispatchFunction|)
                                  (PROGN
                                    (SPADLET |ISTMP#1| (QCDR |fn|))
-                                   (AND (PAIRP |ISTMP#1|)
+                                   (AND (CONSP |ISTMP#1|)
                                     (EQ (QCDR |ISTMP#1|) NIL)
                                     (PROGN
                                       (SPADLET |fn'| (QCAR |ISTMP#1|))
@@ -912,7 +912,7 @@
                             |fn'|)
                            ('T |fn|))))
                 ('T NIL)))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'COND)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'COND)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (DO ((G166734 |c| (CDR G166734)) (G166724 NIL))
                   ((OR (ATOM G166734)
@@ -927,7 +927,7 @@
                 (SEQ (EXIT (COND
                              (|y| (|NRTdescendCodeTran| (CAR |y|)
                                       (CONS |pred| |condList|))))))))
-             ((AND (PAIRP |u|) (EQ (QCAR |u|) 'PROGN)
+             ((AND (CONSP |u|) (EQ (QCAR |u|) 'PROGN)
                    (PROGN (SPADLET |c| (QCDR |u|)) 'T))
               (DO ((G166744 |c| (CDR G166744)) (|x| NIL))
                   ((OR (ATOM G166744)
@@ -963,7 +963,7 @@
       (SEQ (PROGN
              (SEQ (COND
                     ((ATOM |x|) NIL)
-                    ((AND (PAIRP |x|) (EQ (QCAR |x|) '|Record|)
+                    ((AND (CONSP |x|) (EQ (QCAR |x|) '|Record|)
                           (PROGN (SPADLET |l| (QCDR |x|)) 'T))
                      (DO ((G166795 |l| (CDR G166795))
                           (G166767 NIL))
@@ -985,15 +985,15 @@
                               (PROGN (SETQ |y| (CAR G166811)) NIL))
                           NIL)
                        (SEQ (EXIT (COND
-                                    ((AND (PAIRP |y|)
+                                    ((AND (CONSP |y|)
                                       (EQ (QCAR |y|) '|:|)
                                       (PROGN
                                         (SPADLET |ISTMP#1| (QCDR |y|))
-                                        (AND (PAIRP |ISTMP#1|)
+                                        (AND (CONSP |ISTMP#1|)
                                          (PROGN
                                            (SPADLET |ISTMP#2|
                                             (QCDR |ISTMP#1|))
-                                           (AND (PAIRP |ISTMP#2|)
+                                           (AND (CONSP |ISTMP#2|)
                                             (EQ (QCDR |ISTMP#2|) NIL)
                                             (PROGN
                                               (SPADLET |z|
@@ -1001,10 +1001,10 @@
                                               'T))))))
                                      (|NRTinnerGetLocalIndex| |z|))
                                     ('T (|NRTinnerGetLocalIndex| |y|)))))))
-                    ((AND (PAIRP |x|) (EQ (QCAR |x|) '|SubDomain|)
+                    ((AND (CONSP |x|) (EQ (QCAR |x|) '|SubDomain|)
                           (PROGN
                             (SPADLET |ISTMP#1| (QCDR |x|))
-                            (AND (PAIRP |ISTMP#1|)
+                            (AND (CONSP |ISTMP#1|)
                                  (PROGN
                                    (SPADLET |y| (QCAR |ISTMP#1|))
                                    'T))))
@@ -1012,7 +1012,7 @@
                     ((PROGN
                        (SPADLET |ISTMP#1|
                                 (|getConstructorSignature| |x|))
-                       (AND (PAIRP |ISTMP#1|)
+                       (AND (CONSP |ISTMP#1|)
                             (PROGN (SPADLET |ml| (QCDR |ISTMP#1|)) 'T)))
                      (DO ((G166822 (CDR |x|) (CDR G166822))
                           (|y| NIL) (G166823 |ml| (CDR G166823))
@@ -1060,7 +1060,7 @@
   (PROG (|ISTMP#1| |u|)
     (RETURN
       (SEQ (COND
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'AND)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'AND)
                    (PROGN (SPADLET |u| (QCDR |cond|)) 'T))
               (CONS 'AND
                     (PROG (G166857)
@@ -1075,7 +1075,7 @@
                           (SEQ (EXIT (SETQ G166857
                                       (CONS (|assignSlotToPred| |x|)
                                        G166857)))))))))
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'OR)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'OR)
                    (PROGN (SPADLET |u| (QCDR |cond|)) 'T))
               (CONS 'OR
                     (PROG (G166872)
@@ -1090,10 +1090,10 @@
                           (SEQ (EXIT (SETQ G166872
                                       (CONS (|assignSlotToPred| |x|)
                                        G166872)))))))))
-             ((AND (PAIRP |cond|) (EQ (QCAR |cond|) 'NOT)
+             ((AND (CONSP |cond|) (EQ (QCAR |cond|) 'NOT)
                    (PROGN
                      (SPADLET |ISTMP#1| (QCDR |cond|))
-                     (AND (PAIRP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
+                     (AND (CONSP |ISTMP#1|) (EQ (QCDR |ISTMP#1|) NIL)
                           (PROGN (SPADLET |u| (QCAR |ISTMP#1|)) 'T))))
               (CONS 'NOT (CONS (|assignSlotToPred| |u|) NIL)))
              ('T (|thisNeedsTOBeFilledIn|)))))))
@@ -1124,7 +1124,7 @@
 ;    VECP u => +/[fn(u.i,0) for i in 0..MAXINDEX u]
 ;    HASH-TABLE-P u =>
 ;      +/[fn(key,0) + fn(HGET(u,key),0) for key in HKEYS u]
-;    PAIRP u =>
+;    CONSP u =>
 ;      HGET($table,u) => 0
 ;      m := fn(first u,0) + fn(rest u,0)
 ;      HGET($consDB,u) => 8 + m
@@ -1174,7 +1174,7 @@
                                            (|measureCommon,fn| |key| 0)
                                            (|measureCommon,fn|
                                             (HGET |u| |key|) 0)))))))))))
-                      (IF (PAIRP |u|)
+                      (IF (CONSP |u|)
                           (EXIT (SEQ (IF (HGET |$table| |u|) (EXIT 0))
                                      (SPADLET |m|
                                       (PLUS
diff -Nru axiom-20110301a/src/interp/topics.lisp.pamphlet axiom-20111101/src/interp/topics.lisp.pamphlet
--- axiom-20110301a/src/interp/topics.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/topics.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -478,11 +478,11 @@
                                          (SEQ
                                           (EXIT
                                            (COND
-                                             ((AND (PAIRP |sigDoc|)
+                                             ((AND (CONSP |sigDoc|)
                                                (PROGN
                                                  (SPADLET |ISTMP#1|
                                                   (QCDR |sigDoc|))
-                                                 (AND (PAIRP |ISTMP#1|)
+                                                 (AND (CONSP |ISTMP#1|)
                                                   (EQ (QCDR |ISTMP#1|)
                                                    NIL))))
                                               (RPLACD (CDR |sigDoc|)
@@ -700,7 +700,7 @@
 (DEFUN |myLastAtom| (|x|)
   (SEQ (PROGN
          (DO ()
-             ((NULL (AND (PAIRP |x|)
+             ((NULL (AND (CONSP |x|)
                          (PROGN (SPADLET |x| (QCDR |x|)) 'T)))
               NIL)
            (SEQ (EXIT NIL)))
diff -Nru axiom-20110301a/src/interp/util.lisp.pamphlet axiom-20111101/src/interp/util.lisp.pamphlet
--- axiom-20110301a/src/interp/util.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/util.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -152,7 +152,6 @@
   (|setBootAutloadProperties| browse-functions browse-files)
   (|setBootAutloadProperties| translate-functions translate-files)
   (|setNAGBootAutloadProperties| nagbr-functions nagbr-files)
-  (|setBootAutloadProperties| asauto-functions asauto-files)
   (setf (symbol-function 'boot::|addConsDB|) #'identity)
   (resethashtables) ; the databases into core, then close the streams
  )
@@ -572,26 +571,6 @@
         ))
 
 \end{chunk}
-\subsubsection{asauto-functions}
-This is part of the {\bf ALDOR subsystem}. These will be loaded
-if you compile a {\bf .as} file rather than a {\bf .spad} file.
-{\bf ALDOR} is an external compiler that gets automatically called
-if the file extension is {\bf .as}.
-\begin{chunk}{asauto-functions}
-(setq asauto-functions '(
-        loadas
-;;        |as|                             ;; now in as.boot
-;;        |astran|                     ;; now in as.boot
-        |spad2AxTranslatorAutoloadOnceTrigger|
-        |sourceFilesToAxcliqueAxFile|
-        |sourceFilesToAxFile|
-        |setExtendedDomains|
-        |makeAxFile|
-        |makeAxcliqueAxFile|
-        |nrlibsToAxFile|
-        |attributesToAxFile| ))
-
-\end{chunk}
 \subsubsection{debug-functions}
 These are some {\bf debugging} functions that I use. I can't imagine
 why you might autoload them but they don't need to be in a running
@@ -1467,7 +1446,6 @@
 \getchunk{comp-functions}
 \getchunk{browse-functions}
 \getchunk{translate-functions}
-\getchunk{asauto-functions}
 \getchunk{debug-functions}
 \getchunk{anna-functions}
 \getchunk{nagbr-functions}
diff -Nru axiom-20110301a/src/interp/vmlisp.lisp.pamphlet axiom-20111101/src/interp/vmlisp.lisp.pamphlet
--- axiom-20110301a/src/interp/vmlisp.lisp.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/interp/vmlisp.lisp.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -178,8 +178,8 @@
       `(let ((,xx ,x))
          (if (consp ,xx) (qcar ,xx) ,xx)))))
 
-(defmacro pairp (x)
- `(consp ,x)) 
+;(defmacro pairp (x)
+; `(consp ,x)) 
 
 (defmacro plus (&rest args)
  `(+ ,@ args))
@@ -189,9 +189,14 @@
 (defmacro qcar (x)
  `(car (the cons ,x)))
 
+(defmacro qfirst (x)
+ `(car (the cons ,x)))
+
 (defmacro qcdr (x)
  `(cdr (the cons ,x)))
 
+(defmacro qrest (x)
+ `(cdr (the cons ,x)))
 
 (defmacro qcaar (x)
  `(car (the cons (car (the cons ,x)))))
@@ -199,6 +204,9 @@
 (defmacro qcadr (x)
  `(car (the cons (cdr (the cons ,x)))))
 
+(defmacro qsecond (x)
+ `(car (the cons (cdr (the cons ,x)))))
+
 (defmacro qcdar (x)
  `(cdr (the cons (car (the cons ,x)))))
 
@@ -213,6 +221,8 @@
  `(car (the cons (cdr (the cons (car (the cons ,x)))))))
 (defmacro qcaddr (x)
  `(car (the cons (cdr (the cons (cdr (the cons ,x)))))))
+(defmacro qthird (x)
+ `(car (the cons (cdr (the cons (cdr (the cons ,x)))))))
 (defmacro qcdaar (x)
  `(cdr (the cons (car (the cons (car (the cons ,x)))))))
 (defmacro qcdadr (x)
@@ -238,6 +248,8 @@
  `(car (the cons (cdr (the cons (cdr (the cons (car (the cons ,x)))))))))
 (defmacro qcadddr (x)
  `(car (the cons (cdr (the cons (cdr (the cons (cdr (the cons ,x)))))))))
+(defmacro qfourth (x)
+ `(car (the cons (cdr (the cons (cdr (the cons (cdr (the cons ,x)))))))))
 (defmacro qcdaaar (x)
  `(cdr (the cons (car (the cons (car (the cons (car (the cons ,x)))))))))
 (defmacro qcdaadr (x)
@@ -561,7 +573,7 @@
 
 ; 11.2 Accessing
 
-(define-function 'MAKEPROP #'put)
+(defun put (sym ind val) (setf (get sym ind) val))
 
 (defun QUOTIENT (x y)
   (cond ((or (floatp x) (floatp y)) (lisp:/ x y))
@@ -580,36 +592,17 @@
 ; 13.3 Updating
 
 
-(defun RPLPAIR (pair1 pair2)
-  (RPLACA pair1 (CAR pair2))
-  (RPLACD pair1 (CDR pair2)) pair1)
-
-(defun RPLNODE (pair1 ca2 cd2)
- (RPLACA pair1 ca2) 
- (RPLACD pair1 cd2) pair1)
-
 ; 14.0 Operations on Lists
 
 ; 14.1 Creation
 
-(defun VEC2LIST (vec) (coerce vec 'list))
-
 (defun |remove| (list item &optional (count 1))
   (if (integerp count)
       (remove item list :count count :test #'equalp)
       (remove item list :test #'equalp)))
 
-(defun REMOVEQ (list item &optional (count 1))
-  (if (integerp count)
-      (remove item list :count count :test #'eq)
-      (remove item list :test #'eq)))
-
-; 14.2 Accessing
-
 (defun |last| (x) (car (lastpair x)))
 
-; 14.3 Searching
-
 (DEFUN |assoc| (X Y)
   "Return the pair associated with key X in association list Y."
   ; ignores non-nil list terminators
@@ -649,8 +642,6 @@
 
 (defun EFFACE (item list) (delete item list :count 1 :test #'equal))
 
-(defun NCONC2 (x y) (NCONC x y)) ;NCONC with exactly two arguments
-
 ; 14.6 Miscellaneous
 
 (defun QSORT (l)
@@ -665,8 +656,6 @@
 
 ; 16.1 Creation
 
-(define-function 'GETREFV #'make-array)
-
 \end{chunk}
 Waldek Hebisch points out that, in the expression:
 \begin{verbatim}
@@ -1624,7 +1613,7 @@
         ( (NOT (LISTP LIST-OF-ITEMS-2))
           (SETQ LIST-OF-ITEMS-2 (LIST LIST-OF-ITEMS-2)) ) )
   LP  (COND
-        ( (NOT (PAIRP LIST-OF-ITEMS-1))
+        ( (NOT (CONSP LIST-OF-ITEMS-1))
           (RETURN (QCDR H)) )
         ( (|member|
             (SETQ I (QCAR (RESETQ LIST-OF-ITEMS-1 (QCDR LIST-OF-ITEMS-1))))
@@ -1643,7 +1632,7 @@
         ( (NOT (LISTP LIST-OF-ITEMS-2))
           (SETQ LIST-OF-ITEMS-2 (LIST LIST-OF-ITEMS-2)) ) )
   LP  (COND
-        ( (NOT (PAIRP LIST-OF-ITEMS-1))
+        ( (NOT (CONSP LIST-OF-ITEMS-1))
           (RETURN (QCDR H)) )
         ( (member
             (SETQ I (QCAR (RESETQ LIST-OF-ITEMS-1 (QCDR LIST-OF-ITEMS-1))))
@@ -1662,9 +1651,9 @@
         ( (NOT (LISTP LIST-OF-ITEMS-2))
           (SETQ LIST-OF-ITEMS-2 (LIST LIST-OF-ITEMS-2)) ) )
   LP1 (COND
-        ( (NOT (PAIRP LIST-OF-ITEMS-1))
+        ( (NOT (CONSP LIST-OF-ITEMS-1))
           (COND
-            ( (PAIRP LIST-OF-ITEMS-2)
+            ( (CONSP LIST-OF-ITEMS-2)
               (SETQ LIST-OF-ITEMS-1 (RESETQ LIST-OF-ITEMS-2 NIL)) )
             ( 'T
               (RETURN (QCDR H)) ) ) )
@@ -1685,9 +1674,9 @@
         ( (NOT (LISTP LIST-OF-ITEMS-2))
           (SETQ LIST-OF-ITEMS-2 (LIST LIST-OF-ITEMS-2)) ) )
   LP1 (COND
-        ( (NOT (PAIRP LIST-OF-ITEMS-1))
+        ( (NOT (CONSP LIST-OF-ITEMS-1))
           (COND
-            ( (PAIRP LIST-OF-ITEMS-2)
+            ( (CONSP LIST-OF-ITEMS-2)
               (SETQ LIST-OF-ITEMS-1 (RESETQ LIST-OF-ITEMS-2 NIL)) )
             ( 'T
               (RETURN (QCDR H)) ) ) )
@@ -1708,7 +1697,7 @@
         ( (NOT (LISTP LIST-OF-ITEMS-2))
           (SETQ LIST-OF-ITEMS-2 (LIST LIST-OF-ITEMS-2)) ) )
   LP1 (COND
-        ( (NOT (PAIRP LIST-OF-ITEMS-1))
+        ( (NOT (CONSP LIST-OF-ITEMS-1))
           (RETURN (QCDR H)) )
         ( (|member|
             (SETQ I (QCAR (RESETQ LIST-OF-ITEMS-1 (QCDR LIST-OF-ITEMS-1))))
@@ -1727,7 +1716,7 @@
         ( (NOT (LISTP LIST-OF-ITEMS-2))
           (SETQ LIST-OF-ITEMS-2 (LIST LIST-OF-ITEMS-2)) ) )
   LP1 (COND
-        ( (NOT (PAIRP LIST-OF-ITEMS-1))
+        ( (NOT (CONSP LIST-OF-ITEMS-1))
           (RETURN (QCDR H)) )
         ( (member
             (SETQ I (QCAR (RESETQ LIST-OF-ITEMS-1 (QCDR LIST-OF-ITEMS-1))))
@@ -2127,8 +2116,6 @@
 (def-boot-val |$BasicDomains|
           '(|Integer| |Float| |Symbol|
             |Boolean| |String|)                        "???")
-(def-boot-val |$BasicPredicates|
-          '(INTEGERP STRINGP FLOATP)                "???")
 (def-boot-val |$BFtag| '-BF-           "big float marker")
 (def-boot-val |$BigFloat| '(|Float|)                    "???")
 (def-boot-val |$BigFloatOpt| '(|BigFloat| . OPT)    "???")
@@ -2206,16 +2193,9 @@
 (def-boot-val |$EmptyEnvironment| '((NIL))            "???")
 (def-boot-val |$EmptyList| ()                            "???")
 \end{chunk}
-\verb|$EmptyMode| is a contant whose value is \verb|$EmptyMode|.
-It is used by isPartialMode (in i-funsel.boot) to
-decide if a modemap is partially constructed. If the \verb|$EmptyMode|
-constant occurs anywhere in the modemap structure at any depth
-then the modemap is still incomplete. To find this constant the
-isPartialMode function calls CONTAINED \verb|$EmptyMode| Y
-which will walk the structure $Y$ looking for this constant.
 \begin{chunk}{*}
-(def-boot-val |$EmptyMode| '|$EmptyMode|    "compiler constant")
-(def-boot-val |$EM| |$EmptyMode|                    "???")
+;(def-boot-val |$EmptyMode| '|$EmptyMode|    "compiler constant")
+;(def-boot-val |$EM| |$EmptyMode|                    "???")
 (def-boot-val |$EmptyString| ""                     "???")
 (def-boot-val |$EmptyVector| '#()                     "???")
 (def-boot-val |$Expression| '(|Expression|)            "???")
@@ -2232,9 +2212,6 @@
 (def-boot-val |$FontTable| '(|FontTable|)            "???")
 (def-boot-var |$forceDatabaseUpdate|                    "See load function.")
 (def-boot-var |$form|                                    "???")
-(def-boot-val |$FormalMapVariableList|
-  '(\#1 \#2 \#3 \#4 \#5 \#6 \#7 \#8 \#9
-    \#10 \#11 \#12 \#13 \#14 \#15)                "???")
 (def-boot-val |$FormalMapVariableList2|
   '(\#\#1 \#\#2 \#\#3 \#\#4 \#\#5 \#\#6 \#\#7 \#\#8 \#\#9
     \#\#10 \#\#11 \#\#12 \#\#13 \#\#14 \#\#15)                    "???")
@@ -2252,9 +2229,9 @@
 (def-boot-var |$hasYield|                            "???")
 (def-boot-var |$ignoreCommentsIfTrue|                    "???")
 (def-boot-var |$Index|                                    "???")
-(def-boot-val |$InitialDomainsInScope|
-          '((|Boolean|) |$EmptyMode| |$NoValueMode|)
-          "???")
+;(def-boot-val |$InitialDomainsInScope|
+;          '((|Boolean|) |$EmptyMode| |$NoValueMode|)
+;          "???")
 (def-boot-var |$insideCapsuleFunctionIfTrue|            "???")
 (def-boot-var |$insideCategoryIfTrue|                    "???")
 (def-boot-var |$insideCoerceInteractiveHardIfTrue|  "???")
@@ -2309,7 +2286,7 @@
 (def-boot-val |$NonPositiveIntegerOpt| '(|NonPositiveInteger| . OPT) "???")
 (def-boot-val |$NonPositiveInteger| '(|NonPositiveInteger|) "???")
 (def-boot-var |$noParseCommands|                    "???")
-(def-boot-val |$NoValueMode| '|$NoValueMode|   "compiler literal")
+;(def-boot-val |$NoValueMode| '|$NoValueMode|   "compiler literal")
 (def-boot-val |$NoValue| '|$NoValue|   "compiler literal")
 (def-boot-val $num_of_meta_errors 0                    "Number of errors seen so far")
 (def-boot-var $OLDLINE                                    "Used to output command lines.")
@@ -2595,7 +2572,8 @@
               ((EQCAR A 'CDR) (LIST 'RPLACD (CADR A) B))
               ((ERROR 'RPLAC))))))
  
-(MAPC #'(LAMBDA (J) (MAKEPROP (CAR J) 'SELCODE (CADR J)))
+(MAPC #'(lambda (j)
+         (setf (get (first j) 'selcode) (second j)))
       '((CAR 2) (CDR 3) (CAAR 4) (CADR 5) (CDAR 6) (CDDR 7)
         (CAAAR 8) (CAADR 9) (CADAR 10) (CADDR 11) (CDAAR 12)
         (CDADR 13) (CDDAR 14) (CDDDR 15) (CAAAAR 16) (CAAADR 17)
@@ -2871,17 +2849,17 @@
                 (setq endtest (POP L)))
                ((prog nil
                         (COND ((NULL VL) (GO TG5)) ((ATOM VL) (GO BADO)))
-                 G180   (AND (NOT (PAIRP (SETQ V (CAR VL)))) (SETQ V (LIST V)))
+                 G180   (AND (NOT (CONSP (SETQ V (CAR VL)))) (SETQ V (LIST V)))
                         (AND (NOT (IDENTP (CAR V))) (GO BADO))
                         (PUSH (CAR V) VARS)
-                        (PUSH (COND ((PAIRP (CDR V)) (CADR V))) INITS)
-                        (AND (PAIRP (CDR V))
-                             (PAIRP (CDDR V))
+                        (PUSH (COND ((CONSP (CDR V)) (CADR V))) INITS)
+                        (AND (CONSP (CDR V))
+                             (CONSP (CDDR V))
                              (SEQ (PUSH (CAR V) U-VARS)
                                   (PUSH (CADDR V) U-VALS)))
-                        (AND (PAIRP (progn (POP VL) VL)) (GO G180))
+                        (AND (CONSP (progn (POP VL) VL)) (GO G180))
                     TG5 (setq exitforms (POP L))
-                        (and (PAIRP EXITFORMS)
+                        (and (CONSP EXITFORMS)
                              (progn (setq endtest (POP EXITFORMS)) exitforms)))))
          (AND L
            (COND ((CDR L) (SETQ BODYFORMS (CONS 'SEQ L)))
@@ -2949,7 +2927,7 @@
                     (SETQ L (CONS (LIST 'ISTEP COUNTER 0 1) L)) ))
             (RETURN (LIST 'PROGN
                           (LIST 'SPADLET ANS
-                                     (LIST 'GETREFV
+                                     (LIST 'make-array
                                            (COND ((NULL CONDS) (fail))
                                                  ((NULL (CDR CONDS))
                                                    (CAR CONDS))
@@ -2998,9 +2976,9 @@
  
 ; 10.1 The Property List
  
-(DEFUN FLAG (L KEY)
+(defun flag (l key)
   "Set the KEY property of every item in list L to T."
-  (mapc #'(lambda (item) (makeprop item KEY T)) L))
+  (mapc #'(lambda (item) (setf (get item key) t)) l))
  
 (FLAG '(* + AND OR PROGN) 'NARY)                ; flag for MKPF
  
@@ -3112,7 +3090,7 @@
  
 (defmacro spadREDUCE (OP AXIS BOD) (REDUCE-1 OP AXIS BOD))
  
-(MAPC #'(LAMBDA (X) (MAKEPROP (CAR X) 'THETA (CDR X)))
+(MAPC #'(lambda (x) (setf (get (first x) 'theta) (rest x)))
       '((PLUS 0) (+ (|Zero|)) (|lcm| (|One|)) (STRCONC "") (|strconc| "")
         (MAX -999999) (MIN 999999) (TIMES 1) (* (|One|)) (CONS NIL)
         (APPEND NIL) (|append| NIL) (UNION NIL) (UNIONQ NIL) (|gcd| (|Zero|))
@@ -3131,14 +3109,14 @@
          ((and (atom item) (not (arrayp item))) (remove item sequence))
          (T (remove item sequence :test #'equalp))))
  
-(MAPC #'(LAMBDA (J) (MAKEPROP (CAR J) 'UNMACRO (CADR J)))
+(MAPC #'(lambda (j) (setf (get (first j) 'unmacro) (second j)))
       '( (AND AND2) (OR OR2)))
  
 (defun and2 (x y) (and x y))
  
 (defun or2 (x y) (or x y))
  
-(MAKEPROP 'CONS 'RIGHT-ASSOCIATIVE T)
+(setf (get 'cons 'right-associative) t)
  
 (defun REDUCE-1 (OP AXIS BOD)
   (let (u op1 tran iden)
@@ -3356,11 +3334,11 @@
         (SETQ HNFORM (SETQ NFORM (CONS () ())))
      LP    (RPLACD NFORM
                    (COND ((EQ FORM OLD) (SETQ FORM ()) NEW )
-                         ((NOT (PAIRP FORM)) FORM )
+                         ((NOT (CONSP FORM)) FORM )
                          ((EQ (SETQ ITEM (CAR FORM)) OLD) (CONS NEW ()) )
-                         ((PAIRP ITEM) (CONS (SUBSTEQ NEW OLD ITEM) ()) )
+                         ((CONSP ITEM) (CONS (SUBSTEQ NEW OLD ITEM) ()) )
                          ((CONS ITEM ()))))
-        (if (NOT (PAIRP FORM)) (RETURN (CDR HNFORM)))
+        (if (NOT (CONSP FORM)) (RETURN (CDR HNFORM)))
         (SETQ NFORM (CDR NFORM))
         (SETQ FORM (CDR FORM))
         (GO LP)))
@@ -4105,7 +4083,7 @@
 (DEFUN COMP-ILAM (NAME ARGL BODYL)
   (let* ((FARGL (NLIST (LENGTH ARGL) '(GENSYM)))
          (BODYLP (SUBLISLIS FARGL ARGL BODYL)))
-        (MAKEPROP NAME 'ILAM T)
+        (setf (get name 'ilam) t)
         (SET NAME (CONS 'LAMBDA (CONS FARGL BODYLP)))
         NAME))
 
@@ -4276,9 +4254,6 @@
   (let (u)
     (cond ((ATOM X) NIL)
           ((eq (setq U (CAR X)) 'QUOTE) NIL)
-          ((AND (eq U 'MAKEPROP) $TRACELETFLAG (RPLAC (CAR X) 'MAKEPROP-SAY) NIL)
-           NIL)
-           ; temporarily make TRACELET cause MAKEPROPs to be reported
           ((member U '(DCQ RELET PRELET SPADLET SETQ LET) )
            (COND ((NOT (eq U 'DCQ))
                   (COND ((OR (AND (eq $NEWSPAD T) (NOT $BOOT))
@@ -4377,16 +4352,16 @@
 (DEFVAR /TRACELETNAMES ())
 (DEFVAR /PRETTY () "controls pretty printing of trace output")
 (SETANDFILEQ /ECHO NIL) ;;"prevents echo of SPAD or BOOT code with /c"
-(MAKEPROP 'LISP '/TERMCHR '(#\  #\())
-(MAKEPROP 'LSP '/TERMCHR '(#\  #\())
-(MAKEPROP 'META '/TERMCHR '(#\:  #\())
-(MAKEPROP 'INPUT '/TERMCHR '(#\:  #\<  #\  #\())
-(MAKEPROP 'SPAD '/TERMCHR '(#\:  #\<  #\  #\())
-(MAKEPROP 'BOOT '/TERMCHR '(#\:  #\<  #\  #\())
-(MAKEPROP 'META '/READFUN 'META\,RULE)
-(MAKEPROP 'INPUT '/READFUN '|New,LEXPR,Interactive|)
-(MAKEPROP 'BOOT '/READFUN '|New,LEXPR1|)
-(MAKEPROP 'SPAD '/READFUN '|New,LEXPR|)
+(setf (get 'lisp '/termchr) '(#\  #\())
+(setf (get 'lsp '/termchr) '(#\  #\())
+(setf (get 'meta '/termchr) '(#\:  #\())
+(setf (get 'input '/termchr) '(#\:  #\<  #\  #\())
+(setf (get 'spad '/termchr) '(#\:  #\<  #\  #\())
+(setf (get 'boot '/termchr) '(#\:  #\<  #\  #\())
+(setf (get 'meta '/readfun) 'META\,RULE)
+(setf (get 'input '/readfun) '|New,LEXPR,Interactive|)
+(setf (get 'boot '/readfun) '|New,LEXPR1|)
+(setf (get 'spad '/readfun) '|New,LEXPR|)
  
 (defmacro |/C,LIB| (&rest L &aux optionlist /editfile
                           ($prettyprint 't) ($reportCompilation 't))
@@ -4437,10 +4412,10 @@
                      METAKEYLST DEFINITION-NAME |$sourceFileTypes|
                      $FUNCTION $BOOT $NEWSPAD $LINESTACK $LINENUMBER STACK STACKX BACK OK
                      |$InteractiveMode| TOK COUNT ERRCOL COLUMN *QUERY CHR LINE))
-        (if (PAIRP FN) (SETQ FN (QCAR FN)))
+        (if (CONSP FN) (SETQ FN (QCAR FN)))
         (SETQ INFILE (OR INFILE (|getFunctionSourceFile| FN)))
           ;; $FUNCTION is freely set in getFunctionSourceFile
-        (IF (PAIRP $FUNCTION) (SETQ $FUNCTION (QCAR $FUNCTION)))
+        (IF (CONSP $FUNCTION) (SETQ $FUNCTION (QCAR $FUNCTION)))
         (SETQ FN $FUNCTION)
         (SETQ /FN $FUNCTION)
    LOOP (SETQ SOURCEFILES
@@ -4514,8 +4489,7 @@
           (SHUT INPUTSTREAM) ))
         ;;(SETQ INFILE (|pathname| (IFCAR ($LISTFILE INFILE))))
         (SETQ INFILE (boot::makeInputFilename INFILE))
-        (MAKEPROP /FN 'DEFLOC
-                  (CONS RECNO INFILE))
+        (setf (get /fn 'defloc) (cons recno infile))
         (SETQ oft (|object2Identifier| (UPCASE (|pathnameType| INFILE))))
         (COND
          ( (NULL OP)
@@ -4592,7 +4566,7 @@
       (RETURN (LIST /FN)) ) )
  
 (DEFUN FUNLOC (func &aux file)
-  (if (PAIRP func) (SETQ func (CAR func)))
+  (if (CONSP func) (SETQ func (CAR func)))
   (setq file (ifcar (findtag func)))
   (if file (list (pathname-name file) (pathname-type file) func)
     nil))
@@ -4798,7 +4772,7 @@
                  (|isDomainOrPackage| (SETQ FNVAL (EVAL FN))))
             (RETURN (|spadTrace| FNVAL OPTIONS)))
         (if (SETQ U (/GETTRACEOPTIONS OPTIONS 'MASK=))
-            (MAKEPROP FN '/TRANSFORM (CADR U)))
+            (setf (get fn '/transform) (second u)))
         (SETQ /TRACENAMES
               (COND ((/GETTRACEOPTIONS OPTIONS 'ALIAS) /TRACENAMES)
                     ((ATOM /TRACENAMES) (LIST FN))
@@ -5382,13 +5356,13 @@
 ;            Utility functions for Tracing Package
 ; **********************************************************************
  
-(MAKEPROP '|coerce| '/TRANSFORM '(& & *))
-(MAKEPROP '|comp| '/TRANSFORM '(& * * &))
-(MAKEPROP '|compIf| '/TRANSFORM '(& * * &))
+(setf (get '|coerce| '/transform) '(& & *))
+(setf (get '|comp| '/transform) '(& * * &))
+(setf (get '|compIf| '/transform) '(& * * &))
  
 ;  by having no transform for the 3rd argument, it is simply not printed
  
-(MAKEPROP '|compFormWithModemap| '/TRANSFORM '(& * * & *))
+(setf (get '|compFormWithModemap| '/TRANSFORM) '(& * * & *))
  
 (defun UNVEC (X)
   (COND ((REFVECP X) (CONS '$ (VEC_TO_TREE X)))
@@ -5425,7 +5399,6 @@
 ;;; Common  Block
 
 (defvar |$UserLevel| '|development|)
-(defvar |$preserveSystemLisplib| t "if nil finalizeLisplib does MA REP")
 (defvar |$incrementalLisplibFlag| nil "checked in compDefineLisplib")
 (defvar |$reportInstantiations| nil)
 (defvar |$reportEachInstantiation| nil)
@@ -5501,7 +5474,7 @@
 (define-function 'list1 #'list)
 (define-function '|not| #'NOT)
 
-(MAKEPROP 'END_UNIT 'KEY T)
+(setf (get 'end_unit 'key) t)
 
 (defun |process| (x)
   (COND ((NOT (EQ TOK 'END_UNIT))
@@ -5552,15 +5525,15 @@
 (defun |makeSF| (mantissa exponent)
   (|float| (/ mantissa (expt 2 (- exponent)))))
 
-(MAKEPROP 'COND '|Nud| '(|if| |if| 130 0))
-(MAKEPROP 'CONS '|Led| '(CONS CONS 1000 1000))
-(MAKEPROP 'APPEND '|Led| '(APPEND APPEND 1000 1000))
-(MAKEPROP 'TAG '|Led| '(TAG TAG 122 121))
-(MAKEPROP 'EQUATNUM '|Nud| '(|dummy| |dummy| 0 0))
-(MAKEPROP 'EQUATNUM '|Led| '(|dummy| |dummy| 10000 0))
-(MAKEPROP 'LET '|Led| '(:= LET 125 124))
-(MAKEPROP 'RARROW '|Led| '(== DEF 122 121))
-(MAKEPROP 'SEGMENT '|Led| '(\.\. SEGMENT 401 699 (|boot-Seg|)))
+(setf (get 'cond '|Nud|) '(|if| |if| 130 0))
+(setf (get 'cons '|Led|) '(cons cons 1000 1000))
+(setf (get 'append '|Led|) '(append append 1000 1000))
+(setf (get 'tag '|Led|) '(tag tag 122 121))
+(setf (get 'equatnum '|Nud|) '(|dummy| |dummy| 0 0))
+(setf (get 'equatnum '|Led|) '(|dummy| |dummy| 10000 0))
+(setf (get 'let '|Led|) '(:= let 125 124))
+(setf (get 'rarrow '|Led|) '(== def 122 121))
+(setf (get 'segment '|Led|) '(\.\. segment 401 699 (|boot-Seg|)))
 
 ;; function to create byte and half-word vectors in new runtime system 8/90
 
@@ -5824,7 +5797,6 @@
 (SETQ |$true| ''T)
 (SETQ |$false| NIL)
 (SETQ |$suffix| NIL)
-(SETQ |$BasicPredicates| '(INTEGERP STRINGP FLOATP))
 (SETQ |$coerceIntByMapCounter| 0)
 (SETQ |$reportCoerce| NIL)
 (SETQ |$reportCompilation| NIL)
@@ -5890,10 +5862,9 @@
         )))
     ))))
 
-(SETQ |$InitialDomainsInScope|
-  '(|$EmptyMode| |$NoValueMode|))
+;(SETQ |$InitialDomainsInScope|
+;  '(|$EmptyMode| |$NoValueMode|))
 
-(SETQ NRTPARSE NIL)
 (SETQ |$NRTflag| T)
 (SETQ |$NRTaddForm| NIL)
 (SETQ |$NRTdeltaList| NIL)
@@ -5905,8 +5876,8 @@
 
 (SETQ |$useConvertForCoercions| NIL)
 
-(MAKEPROP '|One| '|defaultType| |$Integer|)
-(MAKEPROP '|Zero| '|defaultType| |$Integer|)
+(setf (get '|One| '|defaultType|) |$Integer|)
+(setf (get '|Zero| '|defaultType|) |$Integer|)
 
 ;; Following were originally in EXPLORE BOOT
 
@@ -5999,16 +5970,16 @@
 \end{verbatim}
 \begin{chunk}{*}
 
-(MAKEPROP 'END_UNIT 'KEY 'T)
+(setf (get 'end_unit 'key) t)
 
-(MAKEPROP 'TAG 'Led '(TAG TAG 122 121))
-(MAKEPROP 'EQUATNUM '|Nud| '(|dummy| |dummy| 0 0))
-(MAKEPROP 'EQUATNUM '|Led| '(|dummy| |dummy| 10000 0))
-(MAKEPROP 'LET '|Led| '(|:=| LET 125 124))
-(MAKEPROP 'RARROW '|Led| '(== DEF 122 121))
-(MAKEPROP 'SEGMENT '|Led| '(|..| SEGMENT 401 699 (|P:Seg|)))
-(MAKEPROP 'SEGMENT '|isSuffix| 'T)
-(MAKEPROP 'EQUAL1 'CHRYBNAM 'EQ)
+(setf (get 'tag 'Led) '(tag tag 122 121))
+(setf (get 'equatnum '|Nud|) '(|dummy| |dummy| 0 0))
+(setf (get 'equatnum '|Led|) '(|dummy| |dummy| 10000 0))
+(setf (get 'let '|Led|) '(|:=| let 125 124))
+(setf (get 'rarrow '|Led|) '(== def 122 121))
+(setf (get 'segment '|Led|) '(|..| segment 401 699 (|P:Seg|)))
+(setf (get 'segment '|isSuffix|) t)
+(setf (get 'equal1 'chrybnam) 'eq)
 
 (REPEAT (IN X '(
    (LET " := ")
@@ -6053,7 +6024,7 @@
    (AT " AT ")
    (MAX " MAX ")
    (MIN " MIN ")
-       )) (MAKEPROP (CAR X) 'INFIXOP (CADR X)))
+       )) (setf (get (first x) 'infixop) (second x)))
 
 (REPEAT (IN X '(
   (= "=")
@@ -6061,7 +6032,7 @@
   (|not| "^ ")
   (\| " \| ")
   (SEGMENT "..")  ;" 0.. is represented by (SEGMENT 0)"
- )) (MAKEPROP (CAR X) 'PREFIXOP (CADR X)))
+ )) (setf (get (first x) 'prefixop) (second x)))
 
 (REPEAT (IN X '(
   (+ WIDTH |sumWidth|)
@@ -6152,8 +6123,7 @@
   (ZAG SUBSPAN |zagSub|)
   (ZAG SUPERSPAN |zagSuper|)
   (ZAG WIDTH |zagWidth|)
-)) (PROGN (MAKEPROP (CAR X) (CADR X) (CADDR X)))
-)
+)) (setf (get (first x) (second x)) (third x)))
 
 (REPEAT (IN X '(
   (+ APP |plusApp|)
@@ -6222,8 +6192,7 @@
   (BRACKET APP |bracketApp|)
   (BRACE APP |braceApp|)
   (BRACE WIDTH |qTWidth|)
-)) (PROGN (MAKEPROP (CAR X) (CADR X) (CADDR X)))
-)
+)) (setf (get (first x) (second x)) (third x)))
 
 ;; from DEF LISP
 
@@ -6231,18 +6200,18 @@
 
 (REPEAT (IN X '(
   |Polynomial| |UnivariatePoly| |SquareMatrix| |QuotientField|
-  )) (MAKEPROP X '|status|
-      (INTERNL (STRCONC "status" (STRINGIMAGE X))))))
+  )) 
+(setf (get x '|status|) (internl (strconc "status" (stringimage x)))))
 
 (REPEAT (IN X '(
   |UnivariatePoly| |Matrix| |QuotientField| |Gaussian|
-  )) (MAKEPROP X '|dataCoerce|
-      (INTERNL (STRCONC "coerce" (STRINGIMAGE X))))))
+  ))
+(setf (get x '|dataCoerce|) (internl (strconc "coerce" (stringimage x)))))
 
 ;; this property is checked for Integers to decide which subdomain to
 ;; choose at compile time.
 
-(MAKEPROP '|Integer| '|Subsets|
+(setf (get '|Integer| '|Subsets|)
   '((|PositiveInteger| . (|>| * 0))
     (|NonNegativeInteger| . (|>=| * 0))
     (|NegativeInteger| . (|<| * 0))
@@ -6251,28 +6220,19 @@
     (|SingleInteger| . (typep * 'fixnum))
     ))
 
-(MAKEPROP '|NonNegativeInteger| '|Subsets| '(
-  (|PositiveInteger| . (|>| * 0))
-  ))
+(setf (get '|NonNegativeInteger| '|Subsets|)
+  '((|PositiveInteger| . (|>| * 0))))
 
-(MAKEPROP '|NonPositiveInteger| '|Subsets| '(
-  (|NegativeInteger| . (|<| * 0))
-  ))
+(setf (get '|NonPositiveInteger| '|Subsets|)
+ '((|NegativeInteger| . (|<| * 0))))
 
 (FLAG '(|Union| |Record| |Enumration| |Mapping| |Enumeration|) 'FUNCTOR)
 
 (FLAG '(* + AND OR PROGN) 'NARY)
 
-(REPEAT (IN X '(
-  (|Record| |mkRecordFunList|)
-  (|Union| |mkUnionFunList|)
-  (|Mapping| |mkMappingFunList|)
-  (|Enumeration| |mkEnumerationFunList|)
-)) (MAKEPROP (CAR X) '|makeFunctionList|  (CADR X)))
-
-(MAKEPROP 'INTEGER 'ISFUNCTION 'INTEGERP)
-(MAKEPROP '|Integer| '|isFunction| '|IsInteger|)
-(MAKEPROP '|Boolean| '|isFunction| '|isBoolean|)
+(setf (get 'integer 'isfunction) 'integerp)
+(setf (get '|Integer| '|isFunction|) '|IsInteger|)
+(setf (get '|Boolean| '|isFunction|) '|isBoolean|)
 
 ;; Many of the following are now in COMPAT LISP
 (REPEAT (IN X '(
@@ -6339,7 +6299,7 @@
   (\| SUCHTHAT)
   (T T$)
   (UNION |union|)
-)) (MAKEPROP (CAR X) 'RENAME (CDR X)))
+)) (setf (get (first x) 'rename) (rest x)))
 
 ;; these are accessor names for fields in data structures. Thus one would
 ;; write datastructure.setName 
@@ -6380,14 +6340,14 @@
   (|streamDef| CADDR)
   (|streamName| CADR)
   (|target| CAR)
-)) (MAKEPROP (CAR X) '|SEL,FUNCTION| (CADR X)))
+)) (setf (get (first x) '|SEL,FUNCTION|) (second x)))
 
 (REPEAT (IN X '(
   (\: |compColonInteractive|)
   (DEF |compDefineInteractive|)
   (|construct| |compConstructInteractive|)
   (LET |compSetqInteractive|)
-)) (MAKEPROP (CAR X) 'INTERACTIVE  (CADR X)))
+)) (setf (get (first x) 'interactive) (second x)))
 
 
 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
diff -Nru axiom-20110301a/src/lib/cfuns-c.c.pamphlet axiom-20111101/src/lib/cfuns-c.c.pamphlet
--- axiom-20110301a/src/lib/cfuns-c.c.pamphlet	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/lib/cfuns-c.c.pamphlet	2011-12-01 04:03:16.000000000 +0000
@@ -123,10 +123,7 @@
 @
 This function is used in {\tt interp/fname.lisp} to support the
 {\tt myWriteable?} function, which is called by {\tt fnameWriteable?}.
-Ultimately it is used in two places. First it supports a test called
-{\tt writeable?} in {\tt algebra/fname.spad}. Second, it supports a
-check in {\tt interp/compiler.boot} during the {\tt convertSpadToAsFile}
-function.
+It supports a test called {\tt writeable?} in {\tt algebra/fname.spad}. 
 <<*>>=
 int writeablep(char *path) {
     struct stat buf;
diff -Nru axiom-20110301a/src/scripts/tex/axiom.sty axiom-20111101/src/scripts/tex/axiom.sty
--- axiom-20110301a/src/scripts/tex/axiom.sty	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/scripts/tex/axiom.sty	2011-12-01 04:03:16.000000000 +0000
@@ -14,7 +14,7 @@
 \index{defun!#1}%
 \index{#1!defun}}
 \newcommand{\defplist}[2]{% e.g. \defplist{symbol}{entry}
-\subsection{defun #2}%
+\subsection{defplist #2}%
 \label{#1}%
 \index{#1}%
 \index{defplist!#1}%
@@ -103,6 +103,14 @@
 [\$#2 p\pageref{#2}]\\%
 \index{\${#2}!{usedby #1}}%
 \index{#1!{uses \${#2}}}}
+\newcommand{\defsdollar}[2]{% e.g. \defsdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{local def #1}}%
+\index{#1!{local def \${#2}}}}
+\newcommand{\refsdollar}[2]{% e.g. \refsdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{local ref #1}}%
+\index{#1!{local ref \${#2}}}}
 \newcommand{\usesstruct}[2]{% e.g. \usesstruct{thisfunc}{structname}
 [\$#2 p\pageref{#2}]\\%
 \index{\${#2}!{usedby #1}}%
diff -Nru axiom-20110301a/src/share/algebra/browse.daase axiom-20111101/src/share/algebra/browse.daase
--- axiom-20110301a/src/share/algebra/browse.daase	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/browse.daase	2011-12-01 04:03:16.000000000 +0000
@@ -1,12 +1,12 @@
 
-(2465526 . 3488060042)       
+(2472069 . 3524719204)       
 (-18 A S) 
 ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) 
 NIL 
 NIL 
 (-19 S) 
 ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
 (-20 S) 
 ((|constructor| (NIL "The class of abelian groups,{} \\spadignore{i.e.} additive monoids where each element has an additive inverse. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{-(-x) = x}\\spad{\\br} \\tab{5}\\spad{x+(-x) = 0}")) (* (($ (|Integer|) $) "\\spad{n*x} is the product of \\spad{x} by the integer \\spad{n}.")) (- (($ $ $) "\\spad{x-y} is the difference of \\spad{x} and \\spad{y} \\spadignore{i.e.} \\spad{x + (-y)}.") (($ $) "\\spad{-x} is the additive inverse of \\spad{x}."))) 
@@ -38,7 +38,7 @@
 NIL 
 (-27) 
 ((|constructor| (NIL "Model for algebraically closed fields.")) (|zerosOf| (((|List| $) (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\indented{1}{zerosOf(\\spad{p},{} \\spad{y}) returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}.} \\indented{1}{The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise} \\indented{1}{as implicit algebraic quantities} \\indented{1}{which display as \\spad{'yi}.} \\indented{1}{The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter} \\indented{1}{to respective root values.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} zerosOf(a,{}\\spad{x})") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\indented{1}{zerosOf(\\spad{p}) returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}.} \\indented{1}{The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise} \\indented{1}{as implicit algebraic quantities.} \\indented{1}{The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter} \\indented{1}{to respective root values.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} zerosOf(a)") (((|List| $) (|Polynomial| $)) "\\indented{1}{zerosOf(\\spad{p}) returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}.} \\indented{1}{The \\spad{yi}\\spad{'s} are expressed in radicals if possible.} \\indented{1}{Otherwise they are implicit algebraic quantities.} \\indented{1}{The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter} \\indented{1}{to respective root values.} \\indented{1}{Error: if \\spad{p} has more than one variable \\spad{y}.} \\blankline \\spad{X} a:Polynomial(Integer)\\spad{:=}-3*x^2+2*x-13 \\spad{X} zerosOf(a)")) (|zeroOf| (($ (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\indented{1}{zeroOf(\\spad{p},{} \\spad{y}) returns \\spad{y} such that \\spad{p(y) = 0};} \\indented{1}{if possible,{} \\spad{y} is expressed in terms of radicals.} \\indented{1}{Otherwise it is an implicit algebraic quantity which} \\indented{1}{displays as \\spad{'y}.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} zeroOf(a,{}\\spad{x})") (($ (|SparseUnivariatePolynomial| $)) "\\indented{1}{zeroOf(\\spad{p}) returns \\spad{y} such that \\spad{p(y) = 0};} \\indented{1}{if possible,{} \\spad{y} is expressed in terms of radicals.} \\indented{1}{Otherwise it is an implicit algebraic quantity.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} zeroOf(a)") (($ (|Polynomial| $)) "\\indented{1}{zeroOf(\\spad{p}) returns \\spad{y} such that \\spad{p(y) = 0}.} \\indented{1}{If possible,{} \\spad{y} is expressed in terms of radicals.} \\indented{1}{Otherwise it is an implicit algebraic quantity.} \\indented{1}{Error: if \\spad{p} has more than one variable \\spad{y}.} \\blankline \\spad{X} a:Polynomial(Integer)\\spad{:=}-3*x^2+2*x-13 \\spad{X} zeroOf(a)")) (|rootsOf| (((|List| $) (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\indented{1}{rootsOf(\\spad{p},{} \\spad{y}) returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0};} \\indented{1}{The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}.} \\indented{1}{Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter} \\indented{1}{to respective root values.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} rootsOf(a,{}\\spad{x})") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\indented{1}{rootsOf(\\spad{p}) returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}.} \\indented{1}{Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter} \\indented{1}{to respective root values.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} rootsOf(a)") (((|List| $) (|Polynomial| $)) "\\indented{1}{rootsOf(\\spad{p}) returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}.} \\indented{1}{Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the} \\indented{1}{interpreter to respective root values.} \\indented{1}{Error: if \\spad{p} has more than one variable \\spad{y}.} \\blankline \\spad{X} a:Polynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} rootsOf(a)")) (|rootOf| (($ (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\indented{1}{rootOf(\\spad{p},{} \\spad{y}) returns \\spad{y} such that \\spad{p(y) = 0}.} \\indented{1}{The object returned displays as \\spad{'y}.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} rootOf(a,{}\\spad{x})") (($ (|SparseUnivariatePolynomial| $)) "\\indented{1}{rootOf(\\spad{p}) returns \\spad{y} such that \\spad{p(y) = 0}.} \\blankline \\spad{X} a:SparseUnivariatePolynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} rootOf(a)") (($ (|Polynomial| $)) "\\indented{1}{rootOf(\\spad{p}) returns \\spad{y} such that \\spad{p(y) = 0}.} \\indented{1}{Error: if \\spad{p} has more than one variable \\spad{y}.} \\blankline \\spad{X} a:Polynomial(Integer)\\spad{:=}-3*x^3+2*x+13 \\spad{X} rootOf(a)"))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
 (-28 S R) 
 ((|constructor| (NIL "Model for algebraically closed function spaces.")) (|zerosOf| (((|List| $) $ (|Symbol|)) "\\spad{zerosOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities which display as \\spad{'yi}. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{zerosOf(p)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable.")) (|zeroOf| (($ $ (|Symbol|)) "\\spad{zeroOf(p,{} y)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity which displays as \\spad{'y}.") (($ $) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity. Error: if \\spad{p} has more than one variable.")) (|rootsOf| (((|List| $) $ (|Symbol|)) "\\spad{rootsOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}; The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}. Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{rootsOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}; Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootOf| (($ $ (|Symbol|)) "\\spad{rootOf(p,{}y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.") (($ $) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) 
@@ -46,7 +46,7 @@
 NIL 
 (-29 R) 
 ((|constructor| (NIL "Model for algebraically closed function spaces.")) (|zerosOf| (((|List| $) $ (|Symbol|)) "\\spad{zerosOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities which display as \\spad{'yi}. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{zerosOf(p)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable.")) (|zeroOf| (($ $ (|Symbol|)) "\\spad{zeroOf(p,{} y)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity which displays as \\spad{'y}.") (($ $) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity. Error: if \\spad{p} has more than one variable.")) (|rootsOf| (((|List| $) $ (|Symbol|)) "\\spad{rootsOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}; The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}. Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{rootsOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}; Note that the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootOf| (($ $ (|Symbol|)) "\\spad{rootOf(p,{}y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.") (($ $) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) 
-((-4518 . T) (-4516 . T) (-4515 . T) ((-4523 "*") . T) (-4514 . T) (-4519 . T) (-4513 . T) (-3973 . T)) 
+((-4532 . T) (-4530 . T) (-4529 . T) ((-4537 "*") . T) (-4528 . T) (-4533 . T) (-4527 . T) (-2982 . T)) 
 NIL 
 (-30) 
 ((|constructor| (NIL "Plot a NON-SINGULAR plane algebraic curve \\spad{p}(\\spad{x},{}\\spad{y}) = 0.")) (|refine| (($ $ (|DoubleFloat|)) "\\indented{1}{refine(\\spad{p},{}\\spad{x}) is not documented} \\blankline \\spad{X} sketch:=makeSketch(x+y,{}\\spad{x},{}\\spad{y},{}\\spad{-1/2}..1/2,{}\\spad{-1/2}..1/2)\\$ACPLOT \\spad{X} refined:=refine(sketch,{}0.1)")) (|makeSketch| (($ (|Polynomial| (|Integer|)) (|Symbol|) (|Symbol|) (|Segment| (|Fraction| (|Integer|))) (|Segment| (|Fraction| (|Integer|)))) "\\indented{1}{makeSketch(\\spad{p},{}\\spad{x},{}\\spad{y},{}a..\\spad{b},{}\\spad{c}..\\spad{d}) creates an ACPLOT of the} \\indented{1}{curve \\spad{p = 0} in the region a \\spad{<=} \\spad{x} \\spad{<=} \\spad{b},{} \\spad{c} \\spad{<=} \\spad{y} \\spad{<=} \\spad{d}.} \\indented{1}{More specifically,{} 'makeSketch' plots a non-singular algebraic curve} \\indented{1}{\\spad{p = 0} in an rectangular region xMin \\spad{<=} \\spad{x} \\spad{<=} xMax,{}} \\indented{1}{yMin \\spad{<=} \\spad{y} \\spad{<=} yMax. The user inputs} \\indented{1}{\\spad{makeSketch(p,{}x,{}y,{}xMin..xMax,{}yMin..yMax)}.} \\indented{1}{Here \\spad{p} is a polynomial in the variables \\spad{x} and \\spad{y} with} \\indented{1}{integer coefficients (\\spad{p} belongs to the domain} \\indented{1}{\\spad{Polynomial Integer}). The case} \\indented{1}{where \\spad{p} is a polynomial in only one of the variables is} \\indented{1}{allowed.\\space{2}The variables \\spad{x} and \\spad{y} are input to specify the} \\indented{1}{the coordinate axes.\\space{2}The horizontal axis is the \\spad{x}-axis and} \\indented{1}{the vertical axis is the \\spad{y}-axis.\\space{2}The rational numbers} \\indented{1}{xMin,{}...,{}yMax specify the boundaries of the region in} \\indented{1}{which the curve is to be plotted.} \\blankline \\spad{X} makeSketch(x+y,{}\\spad{x},{}\\spad{y},{}\\spad{-1/2}..1/2,{}\\spad{-1/2}..1/2)\\$ACPLOT"))) 
@@ -68,14 +68,14 @@
 ((|constructor| (NIL "The following is all the categories and domains related to projective space and part of the PAFF package"))) 
 NIL 
 NIL 
-(-35 -1965 K) 
+(-35 -4391 K) 
 ((|constructor| (NIL "The following is all the categories and domains related to projective space and part of the PAFF package"))) 
 NIL 
 NIL 
-(-36 R -1478) 
+(-36 R -1564) 
 ((|constructor| (NIL "This package provides algebraic functions over an integral domain.")) (|iroot| ((|#2| |#1| (|Integer|)) "\\spad{iroot(p,{} n)} should be a non-exported function.")) (|definingPolynomial| ((|#2| |#2|) "\\spad{definingPolynomial(f)} returns the defining polynomial of \\spad{f} as an element of \\spad{F}. Error: if \\spad{f} is not a kernel.")) (|minPoly| (((|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{minPoly(k)} returns the defining polynomial of \\spad{k}.")) (** ((|#2| |#2| (|Fraction| (|Integer|))) "\\spad{x ** q} is \\spad{x} raised to the rational power \\spad{q}.")) (|droot| (((|OutputForm|) (|List| |#2|)) "\\spad{droot(l)} should be a non-exported function.")) (|inrootof| ((|#2| (|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{inrootof(p,{} x)} should be a non-exported function.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}. Error: if \\spad{op} is not an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|rootOf| ((|#2| (|SparseUnivariatePolynomial| |#2|) (|Symbol|)) "\\spad{rootOf(p,{} y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}."))) 
 NIL 
-((|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568))))) 
+((|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569))))) 
 (-37 K) 
 ((|constructor| (NIL "The following is all the categories and domains related to projective space and part of the PAFF package")) (|pointValue| (((|List| |#1|) $) "\\spad{pointValue returns} the coordinates of the point or of the point of origin that represent an infinitly close point")) (|setelt| ((|#1| $ (|Integer|) |#1|) "\\spad{setelt sets} the value of a specified coordinates")) (|elt| ((|#1| $ (|Integer|)) "\\spad{elt returns} the value of a specified coordinates")) (|list| (((|List| |#1|) $) "\\spad{list returns} the list of the coordinates")) (|rational?| (((|Boolean|) $) "\\spad{rational?(p)} test if the point is rational according to the characteristic of the ground field.") (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{rational?(p,{}n)} test if the point is rational according to \\spad{n}.")) (|removeConjugate| (((|List| $) (|List| $)) "\\spad{removeConjugate(lp)} returns removeConjugate(\\spad{lp},{}\\spad{n}) where \\spad{n} is the characteristic of the ground field.") (((|List| $) (|List| $) (|NonNegativeInteger|)) "\\spad{removeConjugate(lp,{}n)} returns a list of points such that no points in the list is the conjugate (according to \\spad{n}) of another point.")) (|conjugate| (($ $) "\\spad{conjugate(p)} returns conjugate(\\spad{p},{}\\spad{n}) where \\spad{n} is the characteristic of the ground field.") (($ $ (|NonNegativeInteger|)) "\\spad{conjugate(p,{}n)} returns p**n,{} that is all the coordinates of \\spad{p} to the power of \\spad{n}")) (|orbit| (((|List| $) $ (|NonNegativeInteger|)) "\\spad{orbit(p,{}n)} returns the orbit of the point \\spad{p} according to \\spad{n},{} that is orbit(\\spad{p},{}\\spad{n}) = \\spad{\\{} \\spad{p},{} p**n,{} \\spad{p**}(\\spad{n**2}),{} \\spad{p**}(\\spad{n**3}),{} ..... \\spad{\\}}") (((|List| $) $) "\\spad{orbit(p)} returns the orbit of the point \\spad{p} according to the characteristic of \\spad{K},{} that is,{} for \\spad{q=} char \\spad{K},{} orbit(\\spad{p}) = \\spad{\\{} \\spad{p},{} p**q,{} \\spad{p**}(\\spad{q**2}),{} \\spad{p**}(\\spad{q**3}),{} ..... \\spad{\\}}")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce a} list of \\spad{K} to a affine point.")) (|affinePoint| (($ (|List| |#1|)) "\\spad{affinePoint creates} a affine point from a list"))) 
 NIL 
@@ -83,10 +83,10 @@
 (-38 S) 
 ((|constructor| (NIL "The notion of aggregate serves to model any data structure aggregate,{} designating any collection of objects,{} with heterogenous or homogeneous members,{} with a finite or infinite number of members,{} explicitly or implicitly represented. An aggregate can in principle represent everything from a string of characters to abstract sets such as \"the set of \\spad{x} satisfying relation \\spad{r}(\\spad{x})\" An attribute \\spadatt{finiteAggregate} is used to assert that a domain has a finite number of elements.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# u} returns the number of items in \\spad{u}.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{size?(u,{}n)} tests if \\spad{u} has exactly \\spad{n} elements.")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{more?(u,{}n)} tests if \\spad{u} has greater than \\spad{n} elements.")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{less?(u,{}n)} tests if \\spad{u} has less than \\spad{n} elements.")) (|empty?| (((|Boolean|) $) "\\spad{empty?(u)} tests if \\spad{u} has 0 elements.")) (|empty| (($) "\\spad{empty()}\\$\\spad{D} creates an aggregate of type \\spad{D} with 0 elements. Note that The \\$\\spad{D} can be dropped if understood by context,{} \\spadignore{e.g.} \\axiom{u: \\spad{D} \\spad{:=} empty()}.")) (|copy| (($ $) "\\spad{copy(u)} returns a top-level (non-recursive) copy of \\spad{u}. Note that for collections,{} \\axiom{copy(\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u}]}.")) (|eq?| (((|Boolean|) $ $) "\\spad{eq?(u,{}v)} tests if \\spad{u} and \\spad{v} are same objects."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4521))) 
+((|HasAttribute| |#1| (QUOTE -4535))) 
 (-39) 
 ((|constructor| (NIL "The notion of aggregate serves to model any data structure aggregate,{} designating any collection of objects,{} with heterogenous or homogeneous members,{} with a finite or infinite number of members,{} explicitly or implicitly represented. An aggregate can in principle represent everything from a string of characters to abstract sets such as \"the set of \\spad{x} satisfying relation \\spad{r}(\\spad{x})\" An attribute \\spadatt{finiteAggregate} is used to assert that a domain has a finite number of elements.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# u} returns the number of items in \\spad{u}.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{size?(u,{}n)} tests if \\spad{u} has exactly \\spad{n} elements.")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{more?(u,{}n)} tests if \\spad{u} has greater than \\spad{n} elements.")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{less?(u,{}n)} tests if \\spad{u} has less than \\spad{n} elements.")) (|empty?| (((|Boolean|) $) "\\spad{empty?(u)} tests if \\spad{u} has 0 elements.")) (|empty| (($) "\\spad{empty()}\\$\\spad{D} creates an aggregate of type \\spad{D} with 0 elements. Note that The \\$\\spad{D} can be dropped if understood by context,{} \\spadignore{e.g.} \\axiom{u: \\spad{D} \\spad{:=} empty()}.")) (|copy| (($ $) "\\spad{copy(u)} returns a top-level (non-recursive) copy of \\spad{u}. Note that for collections,{} \\axiom{copy(\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u}]}.")) (|eq?| (((|Boolean|) $ $) "\\spad{eq?(u,{}v)} tests if \\spad{u} and \\spad{v} are same objects."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
 (-40) 
 ((|constructor| (NIL "Category for the inverse hyperbolic trigonometric functions.")) (|atanh| (($ $) "\\spad{atanh(x)} returns the hyperbolic arc-tangent of \\spad{x}.")) (|asinh| (($ $) "\\spad{asinh(x)} returns the hyperbolic arc-sine of \\spad{x}.")) (|asech| (($ $) "\\spad{asech(x)} returns the hyperbolic arc-secant of \\spad{x}.")) (|acsch| (($ $) "\\spad{acsch(x)} returns the hyperbolic arc-cosecant of \\spad{x}.")) (|acoth| (($ $) "\\spad{acoth(x)} returns the hyperbolic arc-cotangent of \\spad{x}.")) (|acosh| (($ $) "\\spad{acosh(x)} returns the hyperbolic arc-cosine of \\spad{x}."))) 
@@ -94,7 +94,7 @@
 NIL 
 (-41 |Key| |Entry|) 
 ((|constructor| (NIL "An association list is a list of key entry pairs which may be viewed as a table. It is a poor mans version of a table: searching for a key is a linear operation.")) (|assoc| (((|Union| (|Record| (|:| |key| |#1|) (|:| |entry| |#2|)) "failed") |#1| $) "\\spad{assoc(k,{}u)} returns the element \\spad{x} in association list \\spad{u} stored with key \\spad{k},{} or \"failed\" if \\spad{u} has no key \\spad{k}."))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
 (-42 S R) 
 ((|constructor| (NIL "The category of associative algebras (modules which are themselves rings). \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{(b+c)::\\% = (b::\\%) + (c::\\%)}\\spad{\\br} \\tab{5}\\spad{(b*c)::\\% = (b::\\%) * (c::\\%)}\\spad{\\br} \\tab{5}\\spad{(1::R)::\\% = 1::\\%}\\spad{\\br} \\tab{5}\\spad{b*x = (b::\\%)*x}\\spad{\\br} \\tab{5}\\spad{r*(a*b) = (r*a)*b = a*(r*b)}")) (|coerce| (($ |#2|) "\\spad{coerce(r)} maps the ring element \\spad{r} to a member of the algebra."))) 
@@ -102,20 +102,20 @@
 NIL 
 (-43 R) 
 ((|constructor| (NIL "The category of associative algebras (modules which are themselves rings). \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{(b+c)::\\% = (b::\\%) + (c::\\%)}\\spad{\\br} \\tab{5}\\spad{(b*c)::\\% = (b::\\%) * (c::\\%)}\\spad{\\br} \\tab{5}\\spad{(1::R)::\\% = 1::\\%}\\spad{\\br} \\tab{5}\\spad{b*x = (b::\\%)*x}\\spad{\\br} \\tab{5}\\spad{r*(a*b) = (r*a)*b = a*(r*b)}")) (|coerce| (($ |#1|) "\\spad{coerce(r)} maps the ring element \\spad{r} to a member of the algebra."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
 (-44 UP) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{} [a1,{}...,{}an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and \\spad{a1},{}...,{}an."))) 
 NIL 
 NIL 
-(-45 -1478 UP UPUP -2477) 
+(-45 -1564 UP UPUP -3092) 
 ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} is not documented"))) 
-((-4514 |has| (-409 |#2|) (-365)) (-4519 |has| (-409 |#2|) (-365)) (-4513 |has| (-409 |#2|) (-365)) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-409 |#2|) (QUOTE (-148))) (|HasCategory| (-409 |#2|) (QUOTE (-150))) (|HasCategory| (-409 |#2|) (QUOTE (-350))) (|HasCategory| (-409 |#2|) (QUOTE (-365))) (-2199 (|HasCategory| (-409 |#2|) (QUOTE (-365))) (|HasCategory| (-409 |#2|) (QUOTE (-350)))) (|HasCategory| (-409 |#2|) (QUOTE (-370))) (|HasCategory| (-409 |#2|) (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| (-409 |#2|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-409 |#2|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-370))) (-2199 (|HasCategory| (-409 |#2|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-12 (|HasCategory| (-409 |#2|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-2199 (-12 (|HasCategory| (-409 |#2|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-12 (|HasCategory| (-409 |#2|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-409 |#2|) (QUOTE (-350))))) (-12 (|HasCategory| (-409 |#2|) (QUOTE (-225))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-2199 (-12 (|HasCategory| (-409 |#2|) (QUOTE (-225))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (|HasCategory| (-409 |#2|) (QUOTE (-350))))) 
-(-46 R -1478) 
+((-4528 |has| (-410 |#2|) (-366)) (-4533 |has| (-410 |#2|) (-366)) (-4527 |has| (-410 |#2|) (-366)) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-410 |#2|) (QUOTE (-149))) (|HasCategory| (-410 |#2|) (QUOTE (-151))) (|HasCategory| (-410 |#2|) (QUOTE (-351))) (|HasCategory| (-410 |#2|) (QUOTE (-366))) (-2232 (|HasCategory| (-410 |#2|) (QUOTE (-366))) (|HasCategory| (-410 |#2|) (QUOTE (-351)))) (|HasCategory| (-410 |#2|) (QUOTE (-371))) (|HasCategory| (-410 |#2|) (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| (-410 |#2|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-410 |#2|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-371))) (-2232 (|HasCategory| (-410 |#2|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-12 (|HasCategory| (-410 |#2|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-2232 (-12 (|HasCategory| (-410 |#2|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-12 (|HasCategory| (-410 |#2|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-410 |#2|) (QUOTE (-351))))) (-12 (|HasCategory| (-410 |#2|) (QUOTE (-226))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-2232 (-12 (|HasCategory| (-410 |#2|) (QUOTE (-226))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (|HasCategory| (-410 |#2|) (QUOTE (-351))))) 
+(-46 R -1564) 
 ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,{}f,{}n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f,{} [a1,{}...,{}an])} removes the \\spad{ai}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f,{} [a1,{}...,{}an])} removes the \\spad{ai}\\spad{'s} which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f,{} a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) 
 NIL 
-((-12 (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (LIST (QUOTE -432) (|devaluate| |#1|))))) 
+((-12 (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (LIST (QUOTE -433) (|devaluate| |#1|))))) 
 (-47 OV E P) 
 ((|constructor| (NIL "This package factors multivariate polynomials over the domain of \\spadtype{AlgebraicNumber} by allowing the user to specify a list of algebraic numbers generating the particular extension to factor over.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#3|)) (|SparseUnivariatePolynomial| |#3|) (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{}lan)} factors the polynomial \\spad{p} over the extension generated by the algebraic numbers given by the list \\spad{lan}. \\spad{p} is presented as a univariate polynomial with multivariate coefficients.") (((|Factored| |#3|) |#3| (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{}lan)} factors the polynomial \\spad{p} over the extension generated by the algebraic numbers given by the list \\spad{lan}."))) 
 NIL 
@@ -123,34 +123,34 @@
 (-48 R A) 
 ((|constructor| (NIL "AlgebraPackage assembles a variety of useful functions for general algebras.")) (|basis| (((|Vector| |#2|) (|Vector| |#2|)) "\\spad{basis(va)} selects a basis from the elements of \\spad{va}.")) (|radicalOfLeftTraceForm| (((|List| |#2|)) "\\spad{radicalOfLeftTraceForm()} returns basis for null space of \\spad{leftTraceMatrix()},{} if the algebra is associative,{} alternative or a Jordan algebra,{} then this space equals the radical (maximal nil ideal) of the algebra.")) (|basisOfCentroid| (((|List| (|Matrix| |#1|))) "\\spad{basisOfCentroid()} returns a basis of the centroid,{} \\spadignore{i.e.} the endomorphism ring of \\spad{A} considered as \\spad{(A,{}A)}-bimodule.")) (|basisOfRightNucloid| (((|List| (|Matrix| |#1|))) "\\spad{basisOfRightNucloid()} returns a basis of the space of endomorphisms of \\spad{A} as left module. Note that right nucloid coincides with right nucleus if \\spad{A} has a unit.")) (|basisOfLeftNucloid| (((|List| (|Matrix| |#1|))) "\\spad{basisOfLeftNucloid()} returns a basis of the space of endomorphisms of \\spad{A} as right module. Note that left nucloid coincides with left nucleus if \\spad{A} has a unit.")) (|basisOfCenter| (((|List| |#2|)) "\\spad{basisOfCenter()} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{commutator(x,{}a) = 0} and \\spad{associator(x,{}a,{}b) = associator(a,{}x,{}b) = associator(a,{}b,{}x) = 0} for all \\spad{a},{}\\spad{b} in \\spad{A}.")) (|basisOfNucleus| (((|List| |#2|)) "\\spad{basisOfNucleus()} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{associator(x,{}a,{}b) = associator(a,{}x,{}b) = associator(a,{}b,{}x) = 0} for all \\spad{a},{}\\spad{b} in \\spad{A}.")) (|basisOfMiddleNucleus| (((|List| |#2|)) "\\spad{basisOfMiddleNucleus()} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{0 = associator(a,{}x,{}b)} for all \\spad{a},{}\\spad{b} in \\spad{A}.")) (|basisOfRightNucleus| (((|List| |#2|)) "\\spad{basisOfRightNucleus()} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{0 = associator(a,{}b,{}x)} for all \\spad{a},{}\\spad{b} in \\spad{A}.")) (|basisOfLeftNucleus| (((|List| |#2|)) "\\spad{basisOfLeftNucleus()} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{0 = associator(x,{}a,{}b)} for all \\spad{a},{}\\spad{b} in \\spad{A}.")) (|basisOfRightAnnihilator| (((|List| |#2|) |#2|) "\\spad{basisOfRightAnnihilator(a)} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{0 = a*x}.")) (|basisOfLeftAnnihilator| (((|List| |#2|) |#2|) "\\spad{basisOfLeftAnnihilator(a)} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{0 = x*a}.")) (|basisOfCommutingElements| (((|List| |#2|)) "\\spad{basisOfCommutingElements()} returns a basis of the space of all \\spad{x} of \\spad{A} satisfying \\spad{0 = commutator(x,{}a)} for all \\spad{a} in \\spad{A}.")) (|biRank| (((|NonNegativeInteger|) |#2|) "\\spad{biRank(x)} determines the number of linearly independent elements in \\spad{x},{} \\spad{x*bi},{} \\spad{bi*x},{} \\spad{bi*x*bj},{} \\spad{i,{}j=1,{}...,{}n},{} where \\spad{b=[b1,{}...,{}bn]} is a basis. Note that if \\spad{A} has a unit,{} then doubleRank,{} weakBiRank,{} and biRank coincide.")) (|weakBiRank| (((|NonNegativeInteger|) |#2|) "\\spad{weakBiRank(x)} determines the number of linearly independent elements in the \\spad{bi*x*bj},{} \\spad{i,{}j=1,{}...,{}n},{} where \\spad{b=[b1,{}...,{}bn]} is a basis.")) (|doubleRank| (((|NonNegativeInteger|) |#2|) "\\spad{doubleRank(x)} determines the number of linearly independent elements in \\spad{b1*x},{}...,{}\\spad{x*bn},{} where \\spad{b=[b1,{}...,{}bn]} is a basis.")) (|rightRank| (((|NonNegativeInteger|) |#2|) "\\spad{rightRank(x)} determines the number of linearly independent elements in \\spad{b1*x},{}...,{}\\spad{bn*x},{} where \\spad{b=[b1,{}...,{}bn]} is a basis.")) (|leftRank| (((|NonNegativeInteger|) |#2|) "\\spad{leftRank(x)} determines the number of linearly independent elements in \\spad{x*b1},{}...,{}\\spad{x*bn},{} where \\spad{b=[b1,{}...,{}bn]} is a basis."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-301)))) 
+((|HasCategory| |#1| (QUOTE (-302)))) 
 (-49 R |n| |ls| |gamma|) 
 ((|constructor| (NIL "AlgebraGivenByStructuralConstants implements finite rank algebras over a commutative ring,{} given by the structural constants \\spad{gamma} with respect to a fixed basis \\spad{[a1,{}..,{}an]},{} where \\spad{gamma} is an \\spad{n}-vector of \\spad{n} by \\spad{n} matrices \\spad{[(gammaijk) for k in 1..rank()]} defined by \\spad{\\spad{ai} * aj = gammaij1 * a1 + ... + gammaijn * an}. The symbols for the fixed basis have to be given as a list of symbols.")) (|coerce| (($ (|Vector| |#1|)) "\\spad{coerce(v)} converts a vector to a member of the algebra by forming a linear combination with the basis element. Note: the vector is assumed to have length equal to the dimension of the algebra."))) 
-((-4518 |has| |#1| (-558)) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) 
+((-4532 |has| |#1| (-559)) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) 
 (-50 |Key| |Entry|) 
 ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090)))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-842))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090)))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-842)))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091)))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-843))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091)))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-843)))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))))) 
 (-51 S R E) 
 ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,{}e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,{}e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,{}u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-365)))) 
+((|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-366)))) 
 (-52 R E) 
 ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#1|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(p,{}e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,{}e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,{}u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#2| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
 (-53) 
 ((|constructor| (NIL "Algebraic closure of the rational numbers,{} with mathematical =")) (|norm| (($ $ (|List| (|Kernel| $))) "\\spad{norm(f,{}l)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernels \\spad{l}") (($ $ (|Kernel| $)) "\\spad{norm(f,{}k)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernel \\spad{k}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|List| (|Kernel| $))) "\\spad{norm(p,{}l)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernels \\spad{l}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{norm(p,{}k)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernel \\spad{k}")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic numbers present in \\spad{f} by applying their defining relations.")) (|denom| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|numer| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|coerce| (($ (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} viewed as an algebraic number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| $ (QUOTE (-1047))) (|HasCategory| $ (LIST (QUOTE -1037) (QUOTE (-568))))) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| $ (QUOTE (-1048))) (|HasCategory| $ (LIST (QUOTE -1038) (QUOTE (-569))))) 
 (-54) 
 ((|constructor| (NIL "This domain implements anonymous functions"))) 
 NIL 
 NIL 
 (-55 R |lVar|) 
 ((|constructor| (NIL "The domain of antisymmetric polynomials.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}p)} changes each coefficient of \\spad{p} by the application of \\spad{f}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} returns the homogeneous degree of \\spad{p}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(p)} tests if \\spad{p} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{p}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(p)} tests if all of the terms of \\spad{p} have the same degree.")) (|exp| (($ (|List| (|Integer|))) "\\spad{exp([i1,{}...in])} returns \\spad{u_1\\^{i_1} ... u_n\\^{i_n}}")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th multiplicative generator,{} a basis term.")) (|coefficient| ((|#1| $ $) "\\spad{coefficient(p,{}u)} returns the coefficient of the term in \\spad{p} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise. Error: if the second argument \\spad{u} is not a basis element.")) (|reductum| (($ $) "\\spad{reductum(p)},{} where \\spad{p} is an antisymmetric polynomial,{} returns \\spad{p} minus the leading term of \\spad{p} if \\spad{p} has at least two terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(p)} returns the leading basis term of antisymmetric polynomial \\spad{p}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the leading coefficient of antisymmetric polynomial \\spad{p}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
 (-56 S) 
 ((|constructor| (NIL "\\spadtype{AnyFunctions1} implements several utility functions for working with \\spadtype{Any}. These functions are used to go back and forth between objects of \\spadtype{Any} and objects of other types.")) (|retract| ((|#1| (|Any|)) "\\spad{retract(a)} tries to convert \\spad{a} into an object of type \\spad{S}. If possible,{} it returns the object. Error: if no such retraction is possible.")) (|retractable?| (((|Boolean|) (|Any|)) "\\spad{retractable?(a)} tests if \\spad{a} can be converted into an object of type \\spad{S}.")) (|retractIfCan| (((|Union| |#1| "failed") (|Any|)) "\\spad{retractIfCan(a)} tries change \\spad{a} into an object of type \\spad{S}. If it can,{} then such an object is returned. Otherwise,{} \"failed\" is returned.")) (|coerce| (((|Any|) |#1|) "\\spad{coerce(s)} creates an object of \\spadtype{Any} from the object \\spad{s} of type \\spad{S}."))) 
@@ -168,7 +168,7 @@
 ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p,{} f,{} m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) 
 NIL 
 NIL 
-(-60 |Base| R -1478) 
+(-60 |Base| R -1564) 
 ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,{}ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,{}...,{}rn],{} expr,{} n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,{}...,{}rn],{} expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) 
 NIL 
 NIL 
@@ -178,7 +178,7 @@
 NIL 
 (-62 R |Row| |Col|) 
 ((|constructor| (NIL "Two dimensional array categories and domains")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\indented{1}{map!(\\spad{f},{}a)\\space{2}assign \\spad{a(i,{}j)} to \\spad{f(a(i,{}j))}} \\indented{1}{for all \\spad{i,{} j}} \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} map!(-,{}arr)")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $ |#1|) "\\indented{1}{map(\\spad{f},{}a,{}\\spad{b},{}\\spad{r}) returns \\spad{c},{} where \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))}} \\indented{1}{when both \\spad{a(i,{}j)} and \\spad{b(i,{}j)} exist;} \\indented{1}{else \\spad{c(i,{}j) = f(r,{} b(i,{}j))} when \\spad{a(i,{}j)} does not exist;} \\indented{1}{else \\spad{c(i,{}j) = f(a(i,{}j),{}r)} when \\spad{b(i,{}j)} does not exist;} \\indented{1}{otherwise \\spad{c(i,{}j) = f(r,{}r)}.} \\blankline \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} \\spad{arr1} : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} \\spad{arr2} : \\spad{ARRAY2} INT \\spad{:=} new(3,{}3,{}10) \\spad{X} map(adder,{}\\spad{arr1},{}\\spad{arr2},{}17)") (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\indented{1}{map(\\spad{f},{}a,{}\\spad{b}) returns \\spad{c},{} where \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))}} \\indented{1}{for all \\spad{i,{} j}} \\blankline \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} map(adder,{}arr,{}arr)") (($ (|Mapping| |#1| |#1|) $) "\\indented{1}{map(\\spad{f},{}a) returns \\spad{b},{} where \\spad{b(i,{}j) = f(a(i,{}j))}} \\indented{1}{for all \\spad{i,{} j}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} map(-,{}arr) \\spad{X} map((\\spad{x} +-> \\spad{x} + \\spad{x}),{}arr)")) (|setColumn!| (($ $ (|Integer|) |#3|) "\\indented{1}{setColumn!(\\spad{m},{}\\spad{j},{}\\spad{v}) sets to \\spad{j}th column of \\spad{m} to \\spad{v}} \\blankline \\spad{X} T1:=TwoDimensionalArray Integer \\spad{X} arr:T1:= new(5,{}4,{}0) \\spad{X} T2:=OneDimensionalArray Integer \\spad{X} acol:=construct([1,{}2,{}3,{}4,{}5]::List(INT))\\$\\spad{T2} \\spad{X} setColumn!(arr,{}1,{}acol)\\$\\spad{T1}")) (|setRow!| (($ $ (|Integer|) |#2|) "\\indented{1}{setRow!(\\spad{m},{}\\spad{i},{}\\spad{v}) sets to \\spad{i}th row of \\spad{m} to \\spad{v}} \\blankline \\spad{X} T1:=TwoDimensionalArray Integer \\spad{X} arr:T1:= new(5,{}4,{}0) \\spad{X} T2:=OneDimensionalArray Integer \\spad{X} arow:=construct([1,{}2,{}3,{}4]::List(INT))\\$\\spad{T2} \\spad{X} setRow!(arr,{}1,{}arow)\\$\\spad{T1}")) (|qsetelt!| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\indented{1}{qsetelt!(\\spad{m},{}\\spad{i},{}\\spad{j},{}\\spad{r}) sets the element in the \\spad{i}th row and \\spad{j}th} \\indented{1}{column of \\spad{m} to \\spad{r}} \\indented{1}{NO error check to determine if indices are in proper ranges} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}0) \\spad{X} qsetelt!(arr,{}1,{}1,{}17)")) (|setelt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\indented{1}{setelt(\\spad{m},{}\\spad{i},{}\\spad{j},{}\\spad{r}) sets the element in the \\spad{i}th row and \\spad{j}th} \\indented{1}{column of \\spad{m} to \\spad{r}} \\indented{1}{error check to determine if indices are in proper ranges} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}0) \\spad{X} setelt(arr,{}1,{}1,{}17)")) (|parts| (((|List| |#1|) $) "\\indented{1}{parts(\\spad{m}) returns a list of the elements of \\spad{m} in row major order} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} parts(arr)")) (|column| ((|#3| $ (|Integer|)) "\\indented{1}{column(\\spad{m},{}\\spad{j}) returns the \\spad{j}th column of \\spad{m}} \\indented{1}{error check to determine if index is in proper ranges} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} column(arr,{}1)")) (|row| ((|#2| $ (|Integer|)) "\\indented{1}{row(\\spad{m},{}\\spad{i}) returns the \\spad{i}th row of \\spad{m}} \\indented{1}{error check to determine if index is in proper ranges} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} row(arr,{}1)")) (|qelt| ((|#1| $ (|Integer|) (|Integer|)) "\\indented{1}{qelt(\\spad{m},{}\\spad{i},{}\\spad{j}) returns the element in the \\spad{i}th row and \\spad{j}th} \\indented{1}{column of the array \\spad{m}} \\indented{1}{NO error check to determine if indices are in proper ranges} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} qelt(arr,{}1,{}1)")) (|elt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\indented{1}{elt(\\spad{m},{}\\spad{i},{}\\spad{j},{}\\spad{r}) returns the element in the \\spad{i}th row and \\spad{j}th} \\indented{1}{column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{}} \\indented{1}{and returns \\spad{r} otherwise} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} elt(arr,{}1,{}1,{}6) \\spad{X} elt(arr,{}1,{}10,{}6)") ((|#1| $ (|Integer|) (|Integer|)) "\\indented{1}{elt(\\spad{m},{}\\spad{i},{}\\spad{j}) returns the element in the \\spad{i}th row and \\spad{j}th} \\indented{1}{column of the array \\spad{m}} \\indented{1}{error check to determine if indices are in proper ranges} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} elt(arr,{}1,{}1)")) (|ncols| (((|NonNegativeInteger|) $) "\\indented{1}{ncols(\\spad{m}) returns the number of columns in the array \\spad{m}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} ncols(arr)")) (|nrows| (((|NonNegativeInteger|) $) "\\indented{1}{nrows(\\spad{m}) returns the number of rows in the array \\spad{m}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} nrows(arr)")) (|maxColIndex| (((|Integer|) $) "\\indented{1}{maxColIndex(\\spad{m}) returns the index of the 'last' column of the array \\spad{m}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} maxColIndex(arr)")) (|minColIndex| (((|Integer|) $) "\\indented{1}{minColIndex(\\spad{m}) returns the index of the 'first' column of the array \\spad{m}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} minColIndex(arr)")) (|maxRowIndex| (((|Integer|) $) "\\indented{1}{maxRowIndex(\\spad{m}) returns the index of the 'last' row of the array \\spad{m}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} maxRowIndex(arr)")) (|minRowIndex| (((|Integer|) $) "\\indented{1}{minRowIndex(\\spad{m}) returns the index of the 'first' row of the array \\spad{m}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}10) \\spad{X} minRowIndex(arr)")) (|fill!| (($ $ |#1|) "\\indented{1}{fill!(\\spad{m},{}\\spad{r}) fills \\spad{m} with \\spad{r}\\spad{'s}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}0) \\spad{X} fill!(arr,{}10)")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\indented{1}{new(\\spad{m},{}\\spad{n},{}\\spad{r}) is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}} \\blankline \\spad{X} arr : \\spad{ARRAY2} INT \\spad{:=} new(5,{}4,{}0)")) (|finiteAggregate| ((|attribute|) "two-dimensional arrays are finite")) (|shallowlyMutable| ((|attribute|) "one may destructively alter arrays"))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
 (-63 A B) 
 ((|constructor| (NIL "This package provides tools for operating on one-dimensional arrays with unary and binary functions involving different underlying types")) (|map| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1|) (|OneDimensionalArray| |#1|)) "\\indented{1}{map(\\spad{f},{}a) applies function \\spad{f} to each member of one-dimensional array} \\indented{1}{\\spad{a} resulting in a new one-dimensional array over a} \\indented{1}{possibly different underlying domain.} \\blankline \\spad{X} \\spad{T1:=OneDimensionalArrayFunctions2}(Integer,{}Integer) \\spad{X} map(\\spad{x+}-\\spad{>x+2},{}[\\spad{i} for \\spad{i} in 1..10])\\$\\spad{T1}")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\indented{1}{reduce(\\spad{f},{}a,{}\\spad{r}) applies function \\spad{f} to each} \\indented{1}{successive element of the} \\indented{1}{one-dimensional array \\spad{a} and an accumulant initialized to \\spad{r}.} \\indented{1}{For example,{} \\spad{reduce(_+\\$Integer,{}[1,{}2,{}3],{}0)}} \\indented{1}{does \\spad{3+(2+(1+0))}. Note that third argument \\spad{r}} \\indented{1}{may be regarded as the identity element for the function \\spad{f}.} \\blankline \\spad{X} \\spad{T1:=OneDimensionalArrayFunctions2}(Integer,{}Integer) \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} reduce(adder,{}[\\spad{i} for \\spad{i} in 1..10],{}0)\\$\\spad{T1}")) (|scan| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\indented{1}{scan(\\spad{f},{}a,{}\\spad{r}) successively applies} \\indented{1}{\\spad{reduce(f,{}x,{}r)} to more and more leading sub-arrays} \\indented{1}{\\spad{x} of one-dimensional array \\spad{a}.} \\indented{1}{More precisely,{} if \\spad{a} is \\spad{[a1,{}a2,{}...]},{} then} \\indented{1}{\\spad{scan(f,{}a,{}r)} returns} \\indented{1}{\\spad{[reduce(f,{}[a1],{}r),{}reduce(f,{}[a1,{}a2],{}r),{}...]}.} \\blankline \\spad{X} \\spad{T1:=OneDimensionalArrayFunctions2}(Integer,{}Integer) \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} scan(adder,{}[\\spad{i} for \\spad{i} in 1..10],{}0)\\$\\spad{T1}"))) 
@@ -186,65 +186,65 @@
 NIL 
 (-64 S) 
 ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\indented{1}{oneDimensionalArray(\\spad{n},{}\\spad{s}) creates an array from \\spad{n} copies of element \\spad{s}} \\blankline \\spad{X} oneDimensionalArray(10,{}0.0)") (($ (|List| |#1|)) "\\indented{1}{oneDimensionalArray(\\spad{l}) creates an array from a list of elements \\spad{l}} \\blankline \\spad{X} oneDimensionalArray [\\spad{i**2} for \\spad{i} in 1..10]"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
 (-65 R) 
 ((|constructor| (NIL "A TwoDimensionalArray is a two dimensional array with 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray\\spad{'s}."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-66 -3393) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-66 -1486) 
 ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine d02kef. This ASP computes the values of a set of functions,{} for example: \\blankline \\tab{5}SUBROUTINE COEFFN(\\spad{P},{}\\spad{Q},{}DQDL,{}\\spad{X},{}ELAM,{}JINT)\\spad{\\br} \\tab{5}DOUBLE PRECISION ELAM,{}\\spad{P},{}\\spad{Q},{}\\spad{X},{}DQDL\\spad{\\br} \\tab{5}INTEGER JINT\\spad{\\br} \\tab{5}\\spad{P=1}.0D0\\spad{\\br} \\tab{5}\\spad{Q=}((\\spad{-1}.0D0*X**3)+ELAM*X*X-2.0D0)/(\\spad{X*X})\\spad{\\br} \\tab{5}\\spad{DQDL=1}.0D0\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-67 -3393) 
+(-67 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine d02kef etc.,{} for example: \\blankline \\tab{5}SUBROUTINE MONIT (MAXIT,{}IFLAG,{}ELAM,{}FINFO)\\spad{\\br} \\tab{5}DOUBLE PRECISION ELAM,{}FINFO(15)\\spad{\\br} \\tab{5}INTEGER MAXIT,{}IFLAG\\spad{\\br} \\tab{5}IF(MAXIT.EQ.\\spad{-1})THEN\\spad{\\br} \\tab{7}PRINT*,{}\"Output from Monit\"\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}PRINT*,{}MAXIT,{}IFLAG,{}ELAM,{}(FINFO(\\spad{I}),{}\\spad{I=1},{}4)\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END\\")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) 
 NIL 
 NIL 
-(-68 -3393) 
+(-68 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example: \\blankline \\tab{5}SUBROUTINE \\spad{LSFUN2}(\\spad{M},{}\\spad{N},{}\\spad{XC},{}FVECC,{}FJACC,{}\\spad{LJC})\\spad{\\br} \\tab{5}DOUBLE PRECISION FVECC(\\spad{M}),{}FJACC(\\spad{LJC},{}\\spad{N}),{}\\spad{XC}(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{M},{}\\spad{N},{}\\spad{LJC}\\spad{\\br} \\tab{5}INTEGER \\spad{I},{}\\spad{J}\\spad{\\br} \\tab{5}DO 25003 \\spad{I=1},{}\\spad{LJC}\\spad{\\br} \\tab{7}DO 25004 \\spad{J=1},{}\\spad{N}\\spad{\\br} \\tab{9}FJACC(\\spad{I},{}\\spad{J})\\spad{=0}.0D0\\spad{\\br} 25004 CONTINUE\\spad{\\br} 25003 CONTINUE\\spad{\\br} \\tab{5}FVECC(1)=((\\spad{XC}(1)\\spad{-0}.14D0)\\spad{*XC}(3)+(15.0D0*XC(1)\\spad{-2}.1D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{+15}.0D0*XC(2))\\spad{\\br} \\tab{5}FVECC(2)=((\\spad{XC}(1)\\spad{-0}.18D0)\\spad{*XC}(3)+(7.0D0*XC(1)\\spad{-1}.26D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{+7}.0D0*XC(2))\\spad{\\br} \\tab{5}FVECC(3)=((\\spad{XC}(1)\\spad{-0}.22D0)\\spad{*XC}(3)+(4.333333333333333D0*XC(1)\\spad{-0}.953333\\spad{\\br} \\tab{4}\\spad{&3333333333D0})\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+4}.333333333333333D0*XC(2))\\spad{\\br} \\tab{5}FVECC(4)=((\\spad{XC}(1)\\spad{-0}.25D0)\\spad{*XC}(3)+(3.0D0*XC(1)\\spad{-0}.75D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{+3}.0D0*XC(2))\\spad{\\br} \\tab{5}FVECC(5)=((\\spad{XC}(1)\\spad{-0}.29D0)\\spad{*XC}(3)+(2.2D0*XC(1)\\spad{-0}.6379999999999999D0)*\\spad{\\br} \\tab{4}\\spad{&XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+2}.2D0*XC(2))\\spad{\\br} \\tab{5}FVECC(6)=((\\spad{XC}(1)\\spad{-0}.32D0)\\spad{*XC}(3)+(1.666666666666667D0*XC(1)\\spad{-0}.533333\\spad{\\br} \\tab{4}\\spad{&3333333333D0})\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+1}.666666666666667D0*XC(2))\\spad{\\br} \\tab{5}FVECC(7)=((\\spad{XC}(1)\\spad{-0}.35D0)\\spad{*XC}(3)+(1.285714285714286D0*XC(1)\\spad{-0}.45D0)*\\spad{\\br} \\tab{4}\\spad{&XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+1}.285714285714286D0*XC(2))\\spad{\\br} \\tab{5}FVECC(8)=((\\spad{XC}(1)\\spad{-0}.39D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-0}.39D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)+\\spad{\\br} \\tab{4}\\spad{&XC}(2))\\spad{\\br} \\tab{5}FVECC(9)=((\\spad{XC}(1)\\spad{-0}.37D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-0}.37D0)\\spad{*XC}(2)\\spad{+1}.285714285714\\spad{\\br} \\tab{4}\\spad{&286D0})/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(10)=((\\spad{XC}(1)\\spad{-0}.58D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-0}.58D0)\\spad{*XC}(2)\\spad{+1}.66666666666\\spad{\\br} \\tab{4}\\spad{&6667D0})/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(11)=((\\spad{XC}(1)\\spad{-0}.73D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-0}.73D0)\\spad{*XC}(2)\\spad{+2}.2D0)/(\\spad{XC}(3)\\spad{\\br} \\tab{4}&+XC(2))\\spad{\\br} \\tab{5}FVECC(12)=((\\spad{XC}(1)\\spad{-0}.96D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-0}.96D0)\\spad{*XC}(2)\\spad{+3}.0D0)/(\\spad{XC}(3)\\spad{\\br} \\tab{4}&+XC(2))\\spad{\\br} \\tab{5}FVECC(13)=((\\spad{XC}(1)\\spad{-1}.34D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-1}.34D0)\\spad{*XC}(2)\\spad{+4}.33333333333\\spad{\\br} \\tab{4}\\spad{&3333D0})/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(14)=((\\spad{XC}(1)\\spad{-2}.1D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-2}.1D0)\\spad{*XC}(2)\\spad{+7}.0D0)/(\\spad{XC}(3)\\spad{+X}\\spad{\\br} \\tab{4}\\spad{&C}(2))\\spad{\\br} \\tab{5}FVECC(15)=((\\spad{XC}(1)\\spad{-4}.39D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-4}.39D0)\\spad{*XC}(2)\\spad{+15}.0D0)/(\\spad{XC}(3\\spad{\\br} \\tab{4}&)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FJACC(1,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(1,{}2)=-15.0D0/(\\spad{XC}(3)\\spad{**2+30}.0D0*XC(2)\\spad{*XC}(3)\\spad{+225}.0D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(1,{}3)=-1.0D0/(\\spad{XC}(3)\\spad{**2+30}.0D0*XC(2)\\spad{*XC}(3)\\spad{+225}.0D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(2,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(2,{}2)=-7.0D0/(\\spad{XC}(3)\\spad{**2+14}.0D0*XC(2)\\spad{*XC}(3)\\spad{+49}.0D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(2,{}3)=-1.0D0/(\\spad{XC}(3)\\spad{**2+14}.0D0*XC(2)\\spad{*XC}(3)\\spad{+49}.0D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(3,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(3,{}2)=((\\spad{-0}.1110223024625157D-15*XC(3))\\spad{-4}.333333333333333D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{**2+8}.666666666666666D0*XC(2)\\spad{*XC}(3)\\spad{+18}.77777777777778D0*XC(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(3,{}3)=(0.1110223024625157D-15*XC(2)\\spad{-1}.0D0)/(\\spad{XC}(3)\\spad{**2+8}.666666\\spad{\\br} \\tab{4}&666666666D0*XC(2)\\spad{*XC}(3)\\spad{+18}.77777777777778D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(4,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(4,{}2)=-3.0D0/(\\spad{XC}(3)\\spad{**2+6}.0D0*XC(2)\\spad{*XC}(3)\\spad{+9}.0D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(4,{}3)=-1.0D0/(\\spad{XC}(3)\\spad{**2+6}.0D0*XC(2)\\spad{*XC}(3)\\spad{+9}.0D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(5,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(5,{}2)=((\\spad{-0}.1110223024625157D-15*XC(3))\\spad{-2}.2D0)/(\\spad{XC}(3)\\spad{**2+4}.399\\spad{\\br} \\tab{4}&999999999999D0*XC(2)\\spad{*XC}(3)\\spad{+4}.839999999999998D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(5,{}3)=(0.1110223024625157D-15*XC(2)\\spad{-1}.0D0)/(\\spad{XC}(3)\\spad{**2+4}.399999\\spad{\\br} \\tab{4}&999999999D0*XC(2)\\spad{*XC}(3)\\spad{+4}.839999999999998D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(6,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(6,{}2)=((\\spad{-0}.2220446049250313D-15*XC(3))\\spad{-1}.666666666666667D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{**2+3}.333333333333333D0*XC(2)\\spad{*XC}(3)\\spad{+2}.777777777777777D0*XC(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(6,{}3)=(0.2220446049250313D-15*XC(2)\\spad{-1}.0D0)/(\\spad{XC}(3)\\spad{**2+3}.333333\\spad{\\br} \\tab{4}&333333333D0*XC(2)\\spad{*XC}(3)\\spad{+2}.777777777777777D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(7,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(7,{}2)=((\\spad{-0}.5551115123125783D-16*XC(3))\\spad{-1}.285714285714286D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{**2+2}.571428571428571D0*XC(2)\\spad{*XC}(3)\\spad{+1}.653061224489796D0*XC(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(7,{}3)=(0.5551115123125783D-16*XC(2)\\spad{-1}.0D0)/(\\spad{XC}(3)\\spad{**2+2}.571428\\spad{\\br} \\tab{4}&571428571D0*XC(2)\\spad{*XC}(3)\\spad{+1}.653061224489796D0*XC(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(8,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(8,{}2)=-1.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(8,{}3)=-1.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(9,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(9,{}2)=-1.285714285714286D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)*\\spad{\\br} \\tab{4}\\spad{&*2})\\spad{\\br} \\tab{5}FJACC(9,{}3)=-1.285714285714286D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)*\\spad{\\br} \\tab{4}\\spad{&*2})\\spad{\\br} \\tab{5}FJACC(10,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(10,{}2)=-1.666666666666667D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(10,{}3)=-1.666666666666667D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(11,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(11,{}2)=-2.2D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(11,{}3)=-2.2D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(12,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(12,{}2)=-3.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(12,{}3)=-3.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(13,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(13,{}2)=-4.333333333333333D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(13,{}3)=-4.333333333333333D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{\\br} \\tab{4}\\spad{&**2})\\spad{\\br} \\tab{5}FJACC(14,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(14,{}2)=-7.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(14,{}3)=-7.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(15,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}FJACC(15,{}2)=-15.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}FJACC(15,{}3)=-15.0D0/(\\spad{XC}(3)\\spad{**2+2}.0D0*XC(2)\\spad{*XC}(3)\\spad{+XC}(2)\\spad{**2})\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-69 -3393) 
+(-69 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{x}) and turn it into a Fortran Function like the following: \\blankline \\tab{5}DOUBLE PRECISION FUNCTION \\spad{F}(\\spad{X})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X}\\spad{\\br} \\tab{5}F=DSIN(\\spad{X})\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-70 -3393) 
+(-70 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example: \\blankline \\tab{5}SUBROUTINE QPHESS(\\spad{N},{}NROWH,{}NCOLH,{}JTHCOL,{}HESS,{}\\spad{X},{}\\spad{HX})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{HX}(\\spad{N}),{}\\spad{X}(\\spad{N}),{}HESS(NROWH,{}NCOLH)\\spad{\\br} \\tab{5}INTEGER JTHCOL,{}\\spad{N},{}NROWH,{}NCOLH\\spad{\\br} \\tab{5}\\spad{HX}(1)\\spad{=2}.0D0*X(1)\\spad{\\br} \\tab{5}\\spad{HX}(2)\\spad{=2}.0D0*X(2)\\spad{\\br} \\tab{5}\\spad{HX}(3)\\spad{=2}.0D0*X(4)\\spad{+2}.0D0*X(3)\\spad{\\br} \\tab{5}\\spad{HX}(4)\\spad{=2}.0D0*X(4)\\spad{+2}.0D0*X(3)\\spad{\\br} \\tab{5}\\spad{HX}(5)\\spad{=2}.0D0*X(5)\\spad{\\br} \\tab{5}\\spad{HX}(6)=(\\spad{-2}.0D0*X(7))+(\\spad{-2}.0D0*X(6))\\spad{\\br} \\tab{5}\\spad{HX}(7)=(\\spad{-2}.0D0*X(7))+(\\spad{-2}.0D0*X(6))\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct|) (|construct| (QUOTE X) (QUOTE HESS)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-71 -3393) 
+(-71 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine e04jaf),{} for example: \\blankline \\tab{5}SUBROUTINE \\spad{FUNCT1}(\\spad{N},{}\\spad{XC},{}\\spad{FC})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{FC},{}\\spad{XC}(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{N}\\spad{\\br} \\tab{5}\\spad{FC=10}.0D0*XC(4)**4+(\\spad{-40}.0D0*XC(1)\\spad{*XC}(4)\\spad{**3})+(60.0D0*XC(1)\\spad{**2+5}\\spad{\\br} \\tab{4}&.0D0)\\spad{*XC}(4)**2+((\\spad{-10}.0D0*XC(3))+(\\spad{-40}.0D0*XC(1)\\spad{**3}))\\spad{*XC}(4)\\spad{+16}.0D0*X\\spad{\\br} \\tab{4}\\spad{&C}(3)**4+(\\spad{-32}.0D0*XC(2)\\spad{*XC}(3)\\spad{**3})+(24.0D0*XC(2)\\spad{**2+5}.0D0)\\spad{*XC}(3)**2+\\spad{\\br} \\tab{4}&(\\spad{-8}.0D0*XC(2)**3*XC(3))\\spad{+XC}(2)\\spad{**4+100}.0D0*XC(2)\\spad{**2+20}.0D0*XC(1)\\spad{*XC}(\\spad{\\br} \\tab{4}\\spad{&2})\\spad{+10}.0D0*XC(1)**4+XC(1)\\spad{**2}\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END\\spad{\\br}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spadtype{FortranExpression} and turns it into an ASP. coerce(\\spad{f}) takes an object from the appropriate instantiation of"))) 
 NIL 
 NIL 
-(-72 -3393) 
+(-72 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine f02fjf ,{}for example: \\blankline \\tab{5}FUNCTION DOT(IFLAG,{}\\spad{N},{}\\spad{Z},{}\\spad{W},{}RWORK,{}LRWORK,{}IWORK,{}LIWORK)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{W}(\\spad{N}),{}\\spad{Z}(\\spad{N}),{}RWORK(LRWORK)\\spad{\\br} \\tab{5}INTEGER \\spad{N},{}LIWORK,{}IFLAG,{}LRWORK,{}IWORK(LIWORK)\\spad{\\br} \\tab{5}DOT=(\\spad{W}(16)+(\\spad{-0}.5D0*W(15)))\\spad{*Z}(16)+((\\spad{-0}.5D0*W(16))\\spad{+W}(15)+(\\spad{-0}.5D0*W(1\\spad{\\br} \\tab{4}\\spad{&4})))\\spad{*Z}(15)+((\\spad{-0}.5D0*W(15))\\spad{+W}(14)+(\\spad{-0}.5D0*W(13)))\\spad{*Z}(14)+((\\spad{-0}.5D0*W(\\spad{\\br} \\tab{4}\\spad{&14}))\\spad{+W}(13)+(\\spad{-0}.5D0*W(12)))\\spad{*Z}(13)+((\\spad{-0}.5D0*W(13))\\spad{+W}(12)+(\\spad{-0}.5D0*W(1\\spad{\\br} \\tab{4}\\spad{&1})))\\spad{*Z}(12)+((\\spad{-0}.5D0*W(12))\\spad{+W}(11)+(\\spad{-0}.5D0*W(10)))\\spad{*Z}(11)+((\\spad{-0}.5D0*W(\\spad{\\br} \\tab{4}\\spad{&11}))\\spad{+W}(10)+(\\spad{-0}.5D0*W(9)))\\spad{*Z}(10)+((\\spad{-0}.5D0*W(10))\\spad{+W}(9)+(\\spad{-0}.5D0*W(8))\\spad{\\br} \\tab{4}&)\\spad{*Z}(9)+((\\spad{-0}.5D0*W(9))\\spad{+W}(8)+(\\spad{-0}.5D0*W(7)))\\spad{*Z}(8)+((\\spad{-0}.5D0*W(8))\\spad{+W}(7)\\spad{\\br} \\tab{4}\\spad{&+}(\\spad{-0}.5D0*W(6)))\\spad{*Z}(7)+((\\spad{-0}.5D0*W(7))\\spad{+W}(6)+(\\spad{-0}.5D0*W(5)))\\spad{*Z}(6)+((\\spad{-0}.\\spad{\\br} \\tab{4}&5D0*W(6))\\spad{+W}(5)+(\\spad{-0}.5D0*W(4)))\\spad{*Z}(5)+((\\spad{-0}.5D0*W(5))\\spad{+W}(4)+(\\spad{-0}.5D0*W(3\\spad{\\br} \\tab{4}&)))\\spad{*Z}(4)+((\\spad{-0}.5D0*W(4))\\spad{+W}(3)+(\\spad{-0}.5D0*W(2)))\\spad{*Z}(3)+((\\spad{-0}.5D0*W(3))\\spad{+W}(\\spad{\\br} \\tab{4}\\spad{&2})+(\\spad{-0}.5D0*W(1)))\\spad{*Z}(2)+((\\spad{-0}.5D0*W(2))\\spad{+W}(1))\\spad{*Z}(1)\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END"))) 
 NIL 
 NIL 
-(-73 -3393) 
+(-73 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine f02fjf,{} for example: \\blankline \\tab{5}SUBROUTINE IMAGE(IFLAG,{}\\spad{N},{}\\spad{Z},{}\\spad{W},{}RWORK,{}LRWORK,{}IWORK,{}LIWORK)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{Z}(\\spad{N}),{}\\spad{W}(\\spad{N}),{}IWORK(LRWORK),{}RWORK(LRWORK)\\spad{\\br} \\tab{5}INTEGER \\spad{N},{}LIWORK,{}IFLAG,{}LRWORK\\spad{\\br} \\tab{5}\\spad{W}(1)\\spad{=0}.01707454969713436D0*Z(16)\\spad{+0}.001747395874954051D0*Z(15)\\spad{+0}.00\\spad{\\br} \\tab{4}&2106973900813502D0*Z(14)\\spad{+0}.002957434991769087D0*Z(13)+(\\spad{-0}.00700554\\spad{\\br} \\tab{4}&0882865317D0*Z(12))+(\\spad{-0}.01219194009813166D0*Z(11))\\spad{+0}.0037230647365\\spad{\\br} \\tab{4}&3087D0*Z(10)\\spad{+0}.04932374658377151D0*Z(9)+(\\spad{-0}.03586220812223305D0*Z(\\spad{\\br} \\tab{4}\\spad{&8}))+(\\spad{-0}.04723268012114625D0*Z(7))+(\\spad{-0}.02434652144032987D0*Z(6))\\spad{+0}.\\spad{\\br} \\tab{4}&2264766947290192D0*Z(5)+(\\spad{-0}.1385343580686922D0*Z(4))+(\\spad{-0}.116530050\\spad{\\br} \\tab{4}&8238904D0*Z(3))+(\\spad{-0}.2803531651057233D0*Z(2))\\spad{+1}.019463911841327D0*Z\\spad{\\br} \\tab{4}&(1)\\spad{\\br} \\tab{5}\\spad{W}(2)\\spad{=0}.0227345011107737D0*Z(16)\\spad{+0}.008812321197398072D0*Z(15)\\spad{+0}.010\\spad{\\br} \\tab{4}&94012210519586D0*Z(14)+(\\spad{-0}.01764072463999744D0*Z(13))+(\\spad{-0}.01357136\\spad{\\br} \\tab{4}&72105995D0*Z(12))\\spad{+0}.00157466157362272D0*Z(11)\\spad{+0}.05258889186338282D\\spad{\\br} \\tab{4}&0*Z(10)+(\\spad{-0}.01981532388243379D0*Z(9))+(\\spad{-0}.06095390688679697D0*Z(8)\\spad{\\br} \\tab{4}&)+(\\spad{-0}.04153119955569051D0*Z(7))\\spad{+0}.2176561076571465D0*Z(6)+(\\spad{-0}.0532\\spad{\\br} \\tab{4}&5555586632358D0*Z(5))+(\\spad{-0}.1688977368984641D0*Z(4))+(\\spad{-0}.32440166056\\spad{\\br} \\tab{4}&67343D0*Z(3))\\spad{+0}.9128222941872173D0*Z(2)+(\\spad{-0}.2419652703415429D0*Z(1\\spad{\\br} \\tab{4}&))\\spad{\\br} \\tab{5}\\spad{W}(3)\\spad{=0}.03371198197190302D0*Z(16)\\spad{+0}.02021603150122265D0*Z(15)+(\\spad{-0}.0\\spad{\\br} \\tab{4}&06607305534689702D0*Z(14))+(\\spad{-0}.03032392238968179D0*Z(13))\\spad{+0}.002033\\spad{\\br} \\tab{4}&305231024948D0*Z(12)\\spad{+0}.05375944956767728D0*Z(11)+(\\spad{-0}.0163213312502\\spad{\\br} \\tab{4}&9967D0*Z(10))+(\\spad{-0}.05483186562035512D0*Z(9))+(\\spad{-0}.04901428822579872D\\spad{\\br} \\tab{4}&0*Z(8))\\spad{+0}.2091097927887612D0*Z(7)+(\\spad{-0}.05760560341383113D0*Z(6))+(-\\spad{\\br} \\tab{4}\\spad{&0}.1236679206156403D0*Z(5))+(\\spad{-0}.3523683853026259D0*Z(4))\\spad{+0}.88929961\\spad{\\br} \\tab{4}&32269974D0*Z(3)+(\\spad{-0}.2995429545781457D0*Z(2))+(\\spad{-0}.02986582812574917\\spad{\\br} \\tab{4}&D0*Z(1))\\spad{\\br} \\tab{5}\\spad{W}(4)\\spad{=0}.05141563713660119D0*Z(16)\\spad{+0}.005239165960779299D0*Z(15)+(\\spad{-0}.\\spad{\\br} \\tab{4}&01623427735779699D0*Z(14))+(\\spad{-0}.01965809746040371D0*Z(13))\\spad{+0}.054688\\spad{\\br} \\tab{4}&97337339577D0*Z(12)+(\\spad{-0}.014224695935687D0*Z(11))+(\\spad{-0}.0505181779315\\spad{\\br} \\tab{4}&6355D0*Z(10))+(\\spad{-0}.04353074206076491D0*Z(9))\\spad{+0}.2012230497530726D0*Z\\spad{\\br} \\tab{4}&(8)+(\\spad{-0}.06630874514535952D0*Z(7))+(\\spad{-0}.1280829963720053D0*Z(6))+(\\spad{-0}\\spad{\\br} \\tab{4}&.305169742604165D0*Z(5))\\spad{+0}.8600427128450191D0*Z(4)+(\\spad{-0}.32415033802\\spad{\\br} \\tab{4}&68184D0*Z(3))+(\\spad{-0}.09033531980693314D0*Z(2))\\spad{+0}.09089205517109111D0*\\spad{\\br} \\tab{4}\\spad{&Z}(1)\\spad{\\br} \\tab{5}\\spad{W}(5)\\spad{=0}.04556369767776375D0*Z(16)+(\\spad{-0}.001822737697581869D0*Z(15))+(\\spad{\\br} \\tab{4}&-0.002512226501941856D0*Z(14))\\spad{+0}.02947046460707379D0*Z(13)+(\\spad{-0}.014\\spad{\\br} \\tab{4}&45079632086177D0*Z(12))+(\\spad{-0}.05034242196614937D0*Z(11))+(\\spad{-0}.0376966\\spad{\\br} \\tab{4}&3291725935D0*Z(10))\\spad{+0}.2171103102175198D0*Z(9)+(\\spad{-0}.0824949256021352\\spad{\\br} \\tab{4}&4D0*Z(8))+(\\spad{-0}.1473995209288945D0*Z(7))+(\\spad{-0}.315042193418466D0*Z(6))\\spad{\\br} \\tab{4}\\spad{&+0}.9591623347824002D0*Z(5)+(\\spad{-0}.3852396953763045D0*Z(4))+(\\spad{-0}.141718\\spad{\\br} \\tab{4}&5427288274D0*Z(3))+(\\spad{-0}.03423495461011043D0*Z(2))\\spad{+0}.319820917706851\\spad{\\br} \\tab{4}&6D0*Z(1)\\spad{\\br} \\tab{5}\\spad{W}(6)\\spad{=0}.04015147277405744D0*Z(16)\\spad{+0}.01328585741341559D0*Z(15)\\spad{+0}.048\\spad{\\br} \\tab{4}&26082005465965D0*Z(14)+(\\spad{-0}.04319641116207706D0*Z(13))+(\\spad{-0}.04931323\\spad{\\br} \\tab{4}&319055762D0*Z(12))+(\\spad{-0}.03526886317505474D0*Z(11))\\spad{+0}.22295383396730\\spad{\\br} \\tab{4}&01D0*Z(10)+(\\spad{-0}.07375317649315155D0*Z(9))+(\\spad{-0}.1589391311991561D0*Z(\\spad{\\br} \\tab{4}\\spad{&8}))+(\\spad{-0}.328001910890377D0*Z(7))\\spad{+0}.952576555482747D0*Z(6)+(\\spad{-0}.31583\\spad{\\br} \\tab{4}&09975786731D0*Z(5))+(\\spad{-0}.1846882042225383D0*Z(4))+(\\spad{-0}.0703762046700\\spad{\\br} \\tab{4}&4427D0*Z(3))\\spad{+0}.2311852964327382D0*Z(2)\\spad{+0}.04254083491825025D0*Z(1)\\spad{\\br} \\tab{5}\\spad{W}(7)\\spad{=0}.06069778964023718D0*Z(16)\\spad{+0}.06681263884671322D0*Z(15)+(\\spad{-0}.0\\spad{\\br} \\tab{4}&2113506688615768D0*Z(14))+(\\spad{-0}.083996867458326D0*Z(13))+(\\spad{-0}.0329843\\spad{\\br} \\tab{4}&8523869648D0*Z(12))\\spad{+0}.2276878326327734D0*Z(11)+(\\spad{-0}.067356038933017\\spad{\\br} \\tab{4}&95D0*Z(10))+(\\spad{-0}.1559813965382218D0*Z(9))+(\\spad{-0}.3363262957694705D0*Z(\\spad{\\br} \\tab{4}\\spad{&8}))\\spad{+0}.9442791158560948D0*Z(7)+(\\spad{-0}.3199955249404657D0*Z(6))+(\\spad{-0}.136\\spad{\\br} \\tab{4}&2463839920727D0*Z(5))+(\\spad{-0}.1006185171570586D0*Z(4))\\spad{+0}.2057504515015\\spad{\\br} \\tab{4}&423D0*Z(3)+(\\spad{-0}.02065879269286707D0*Z(2))\\spad{+0}.03160990266745513D0*Z(1\\spad{\\br} \\tab{4}&)\\spad{\\br} \\tab{5}\\spad{W}(8)\\spad{=0}.126386868896738D0*Z(16)\\spad{+0}.002563370039476418D0*Z(15)+(\\spad{-0}.05\\spad{\\br} \\tab{4}&581757739455641D0*Z(14))+(\\spad{-0}.07777893205900685D0*Z(13))\\spad{+0}.23117338\\spad{\\br} \\tab{4}&45834199D0*Z(12)+(\\spad{-0}.06031581134427592D0*Z(11))+(\\spad{-0}.14805474755869\\spad{\\br} \\tab{4}&52D0*Z(10))+(\\spad{-0}.3364014128402243D0*Z(9))\\spad{+0}.9364014128402244D0*Z(8)\\spad{\\br} \\tab{4}\\spad{&+}(\\spad{-0}.3269452524413048D0*Z(7))+(\\spad{-0}.1396841886557241D0*Z(6))+(\\spad{-0}.056\\spad{\\br} \\tab{4}&1733845834199D0*Z(5))\\spad{+0}.1777789320590069D0*Z(4)+(\\spad{-0}.04418242260544\\spad{\\br} \\tab{4}&359D0*Z(3))+(\\spad{-0}.02756337003947642D0*Z(2))\\spad{+0}.07361313110326199D0*Z(\\spad{\\br} \\tab{4}\\spad{&1})\\spad{\\br} \\tab{5}\\spad{W}(9)\\spad{=0}.07361313110326199D0*Z(16)+(\\spad{-0}.02756337003947642D0*Z(15))+(-\\spad{\\br} \\tab{4}\\spad{&0}.04418242260544359D0*Z(14))\\spad{+0}.1777789320590069D0*Z(13)+(\\spad{-0}.056173\\spad{\\br} \\tab{4}&3845834199D0*Z(12))+(\\spad{-0}.1396841886557241D0*Z(11))+(\\spad{-0}.326945252441\\spad{\\br} \\tab{4}&3048D0*Z(10))\\spad{+0}.9364014128402244D0*Z(9)+(\\spad{-0}.3364014128402243D0*Z(8\\spad{\\br} \\tab{4}&))+(\\spad{-0}.1480547475586952D0*Z(7))+(\\spad{-0}.06031581134427592D0*Z(6))\\spad{+0}.23\\spad{\\br} \\tab{4}&11733845834199D0*Z(5)+(\\spad{-0}.07777893205900685D0*Z(4))+(\\spad{-0}.0558175773\\spad{\\br} \\tab{4}&9455641D0*Z(3))\\spad{+0}.002563370039476418D0*Z(2)\\spad{+0}.126386868896738D0*Z(\\spad{\\br} \\tab{4}\\spad{&1})\\spad{\\br} \\tab{5}\\spad{W}(10)\\spad{=0}.03160990266745513D0*Z(16)+(\\spad{-0}.02065879269286707D0*Z(15))\\spad{+0}\\spad{\\br} \\tab{4}&.2057504515015423D0*Z(14)+(\\spad{-0}.1006185171570586D0*Z(13))+(\\spad{-0}.136246\\spad{\\br} \\tab{4}&3839920727D0*Z(12))+(\\spad{-0}.3199955249404657D0*Z(11))\\spad{+0}.94427911585609\\spad{\\br} \\tab{4}&48D0*Z(10)+(\\spad{-0}.3363262957694705D0*Z(9))+(\\spad{-0}.1559813965382218D0*Z(8\\spad{\\br} \\tab{4}&))+(\\spad{-0}.06735603893301795D0*Z(7))\\spad{+0}.2276878326327734D0*Z(6)+(\\spad{-0}.032\\spad{\\br} \\tab{4}&98438523869648D0*Z(5))+(\\spad{-0}.083996867458326D0*Z(4))+(\\spad{-0}.02113506688\\spad{\\br} \\tab{4}&615768D0*Z(3))\\spad{+0}.06681263884671322D0*Z(2)\\spad{+0}.06069778964023718D0*Z(\\spad{\\br} \\tab{4}\\spad{&1})\\spad{\\br} \\tab{5}\\spad{W}(11)\\spad{=0}.04254083491825025D0*Z(16)\\spad{+0}.2311852964327382D0*Z(15)+(\\spad{-0}.0\\spad{\\br} \\tab{4}&7037620467004427D0*Z(14))+(\\spad{-0}.1846882042225383D0*Z(13))+(\\spad{-0}.315830\\spad{\\br} \\tab{4}&9975786731D0*Z(12))\\spad{+0}.952576555482747D0*Z(11)+(\\spad{-0}.328001910890377D\\spad{\\br} \\tab{4}&0*Z(10))+(\\spad{-0}.1589391311991561D0*Z(9))+(\\spad{-0}.07375317649315155D0*Z(8)\\spad{\\br} \\tab{4}&)\\spad{+0}.2229538339673001D0*Z(7)+(\\spad{-0}.03526886317505474D0*Z(6))+(\\spad{-0}.0493\\spad{\\br} \\tab{4}&1323319055762D0*Z(5))+(\\spad{-0}.04319641116207706D0*Z(4))\\spad{+0}.048260820054\\spad{\\br} \\tab{4}&65965D0*Z(3)\\spad{+0}.01328585741341559D0*Z(2)\\spad{+0}.04015147277405744D0*Z(1)\\spad{\\br} \\tab{5}\\spad{W}(12)\\spad{=0}.3198209177068516D0*Z(16)+(\\spad{-0}.03423495461011043D0*Z(15))+(-\\spad{\\br} \\tab{4}\\spad{&0}.1417185427288274D0*Z(14))+(\\spad{-0}.3852396953763045D0*Z(13))\\spad{+0}.959162\\spad{\\br} \\tab{4}&3347824002D0*Z(12)+(\\spad{-0}.315042193418466D0*Z(11))+(\\spad{-0}.14739952092889\\spad{\\br} \\tab{4}&45D0*Z(10))+(\\spad{-0}.08249492560213524D0*Z(9))\\spad{+0}.2171103102175198D0*Z(8\\spad{\\br} \\tab{4}&)+(\\spad{-0}.03769663291725935D0*Z(7))+(\\spad{-0}.05034242196614937D0*Z(6))+(\\spad{-0}.\\spad{\\br} \\tab{4}&01445079632086177D0*Z(5))\\spad{+0}.02947046460707379D0*Z(4)+(\\spad{-0}.002512226\\spad{\\br} \\tab{4}&501941856D0*Z(3))+(\\spad{-0}.001822737697581869D0*Z(2))\\spad{+0}.045563697677763\\spad{\\br} \\tab{4}&75D0*Z(1)\\spad{\\br} \\tab{5}\\spad{W}(13)\\spad{=0}.09089205517109111D0*Z(16)+(\\spad{-0}.09033531980693314D0*Z(15))+(\\spad{\\br} \\tab{4}&-0.3241503380268184D0*Z(14))\\spad{+0}.8600427128450191D0*Z(13)+(\\spad{-0}.305169\\spad{\\br} \\tab{4}&742604165D0*Z(12))+(\\spad{-0}.1280829963720053D0*Z(11))+(\\spad{-0}.0663087451453\\spad{\\br} \\tab{4}&5952D0*Z(10))\\spad{+0}.2012230497530726D0*Z(9)+(\\spad{-0}.04353074206076491D0*Z(\\spad{\\br} \\tab{4}\\spad{&8}))+(\\spad{-0}.05051817793156355D0*Z(7))+(\\spad{-0}.014224695935687D0*Z(6))\\spad{+0}.05\\spad{\\br} \\tab{4}&468897337339577D0*Z(5)+(\\spad{-0}.01965809746040371D0*Z(4))+(\\spad{-0}.016234277\\spad{\\br} \\tab{4}&35779699D0*Z(3))\\spad{+0}.005239165960779299D0*Z(2)\\spad{+0}.05141563713660119D0\\spad{\\br} \\tab{4}\\spad{&*Z}(1)\\spad{\\br} \\tab{5}\\spad{W}(14)=(\\spad{-0}.02986582812574917D0*Z(16))+(\\spad{-0}.2995429545781457D0*Z(15))\\spad{\\br} \\tab{4}\\spad{&+0}.8892996132269974D0*Z(14)+(\\spad{-0}.3523683853026259D0*Z(13))+(\\spad{-0}.1236\\spad{\\br} \\tab{4}&679206156403D0*Z(12))+(\\spad{-0}.05760560341383113D0*Z(11))\\spad{+0}.20910979278\\spad{\\br} \\tab{4}&87612D0*Z(10)+(\\spad{-0}.04901428822579872D0*Z(9))+(\\spad{-0}.05483186562035512D\\spad{\\br} \\tab{4}&0*Z(8))+(\\spad{-0}.01632133125029967D0*Z(7))\\spad{+0}.05375944956767728D0*Z(6)\\spad{+0}\\spad{\\br} \\tab{4}&.002033305231024948D0*Z(5)+(\\spad{-0}.03032392238968179D0*Z(4))+(\\spad{-0}.00660\\spad{\\br} \\tab{4}&7305534689702D0*Z(3))\\spad{+0}.02021603150122265D0*Z(2)\\spad{+0}.033711981971903\\spad{\\br} \\tab{4}&02D0*Z(1)\\spad{\\br} \\tab{5}\\spad{W}(15)=(\\spad{-0}.2419652703415429D0*Z(16))\\spad{+0}.9128222941872173D0*Z(15)+(\\spad{-0}\\spad{\\br} \\tab{4}&.3244016605667343D0*Z(14))+(\\spad{-0}.1688977368984641D0*Z(13))+(\\spad{-0}.05325\\spad{\\br} \\tab{4}&555586632358D0*Z(12))\\spad{+0}.2176561076571465D0*Z(11)+(\\spad{-0}.0415311995556\\spad{\\br} \\tab{4}&9051D0*Z(10))+(\\spad{-0}.06095390688679697D0*Z(9))+(\\spad{-0}.01981532388243379D\\spad{\\br} \\tab{4}&0*Z(8))\\spad{+0}.05258889186338282D0*Z(7)\\spad{+0}.00157466157362272D0*Z(6)+(\\spad{-0}.\\spad{\\br} \\tab{4}&0135713672105995D0*Z(5))+(\\spad{-0}.01764072463999744D0*Z(4))\\spad{+0}.010940122\\spad{\\br} \\tab{4}&10519586D0*Z(3)\\spad{+0}.008812321197398072D0*Z(2)\\spad{+0}.0227345011107737D0*Z\\spad{\\br} \\tab{4}&(1)\\spad{\\br} \\tab{5}\\spad{W}(16)\\spad{=1}.019463911841327D0*Z(16)+(\\spad{-0}.2803531651057233D0*Z(15))+(\\spad{-0}.\\spad{\\br} \\tab{4}&1165300508238904D0*Z(14))+(\\spad{-0}.1385343580686922D0*Z(13))\\spad{+0}.22647669\\spad{\\br} \\tab{4}&47290192D0*Z(12)+(\\spad{-0}.02434652144032987D0*Z(11))+(\\spad{-0}.04723268012114\\spad{\\br} \\tab{4}&625D0*Z(10))+(\\spad{-0}.03586220812223305D0*Z(9))\\spad{+0}.04932374658377151D0*Z\\spad{\\br} \\tab{4}&(8)\\spad{+0}.00372306473653087D0*Z(7)+(\\spad{-0}.01219194009813166D0*Z(6))+(\\spad{-0}.0\\spad{\\br} \\tab{4}&07005540882865317D0*Z(5))\\spad{+0}.002957434991769087D0*Z(4)\\spad{+0}.0021069739\\spad{\\br} \\tab{4}&00813502D0*Z(3)\\spad{+0}.001747395874954051D0*Z(2)\\spad{+0}.01707454969713436D0*\\spad{\\br} \\tab{4}\\spad{&Z}(1)\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END\\spad{\\br}"))) 
 NIL 
 NIL 
-(-74 -3393) 
+(-74 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine f02fjf,{} for example: \\blankline \\tab{5}SUBROUTINE MONIT(ISTATE,{}NEXTIT,{}NEVALS,{}NEVECS,{}\\spad{K},{}\\spad{F},{}\\spad{D})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{D}(\\spad{K}),{}\\spad{F}(\\spad{K})\\spad{\\br} \\tab{5}INTEGER \\spad{K},{}NEXTIT,{}NEVALS,{}NVECS,{}ISTATE\\spad{\\br} \\tab{5}CALL F02FJZ(ISTATE,{}NEXTIT,{}NEVALS,{}NEVECS,{}\\spad{K},{}\\spad{F},{}\\spad{D})\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END\\spad{\\br}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) 
 NIL 
 NIL 
-(-75 -3393) 
+(-75 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine f04qaf,{} for example: \\blankline \\tab{5}SUBROUTINE APROD(MODE,{}\\spad{M},{}\\spad{N},{}\\spad{X},{}\\spad{Y},{}RWORK,{}LRWORK,{}IWORK,{}LIWORK)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X}(\\spad{N}),{}\\spad{Y}(\\spad{M}),{}RWORK(LRWORK)\\spad{\\br} \\tab{5}INTEGER \\spad{M},{}\\spad{N},{}LIWORK,{}IFAIL,{}LRWORK,{}IWORK(LIWORK),{}MODE\\spad{\\br} \\tab{5}DOUBLE PRECISION A(5,{}5)\\spad{\\br} \\tab{5}EXTERNAL F06PAF\\spad{\\br} \\tab{5}A(1,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}A(1,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(1,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(1,{}4)=-1.0D0\\spad{\\br} \\tab{5}A(1,{}5)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(2,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(2,{}2)\\spad{=1}.0D0\\spad{\\br} \\tab{5}A(2,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(2,{}4)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(2,{}5)=-1.0D0\\spad{\\br} \\tab{5}A(3,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(3,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(3,{}3)\\spad{=1}.0D0\\spad{\\br} \\tab{5}A(3,{}4)=-1.0D0\\spad{\\br} \\tab{5}A(3,{}5)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(4,{}1)=-1.0D0\\spad{\\br} \\tab{5}A(4,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(4,{}3)=-1.0D0\\spad{\\br} \\tab{5}A(4,{}4)\\spad{=4}.0D0\\spad{\\br} \\tab{5}A(4,{}5)=-1.0D0\\spad{\\br} \\tab{5}A(5,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(5,{}2)=-1.0D0\\spad{\\br} \\tab{5}A(5,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}A(5,{}4)=-1.0D0\\spad{\\br} \\tab{5}A(5,{}5)\\spad{=4}.0D0\\spad{\\br} \\tab{5}IF(MODE.EQ.1)THEN\\spad{\\br} \\tab{7}CALL F06PAF(\\spad{'N'},{}\\spad{M},{}\\spad{N},{}1.0D0,{}A,{}\\spad{M},{}\\spad{X},{}1,{}1.0D0,{}\\spad{Y},{}1)\\spad{\\br} \\tab{5}ELSEIF(MODE.EQ.2)THEN\\spad{\\br} \\tab{7}CALL F06PAF(\\spad{'T'},{}\\spad{M},{}\\spad{N},{}1.0D0,{}A,{}\\spad{M},{}\\spad{Y},{}1,{}1.0D0,{}\\spad{X},{}1)\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END"))) 
 NIL 
 NIL 
-(-76 -3393) 
+(-76 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine d02ejf,{} for example: \\blankline \\tab{5}SUBROUTINE PEDERV(\\spad{X},{}\\spad{Y},{}\\spad{PW})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X},{}\\spad{Y}(*)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{PW}(3,{}3)\\spad{\\br} \\tab{5}\\spad{PW}(1,{}1)=-0.03999999999999999D0\\spad{\\br} \\tab{5}\\spad{PW}(1,{}2)\\spad{=10000}.0D0*Y(3)\\spad{\\br} \\tab{5}\\spad{PW}(1,{}3)\\spad{=10000}.0D0*Y(2)\\spad{\\br} \\tab{5}\\spad{PW}(2,{}1)\\spad{=0}.03999999999999999D0\\spad{\\br} \\tab{5}\\spad{PW}(2,{}2)=(\\spad{-10000}.0D0*Y(3))+(\\spad{-60000000}.0D0*Y(2))\\spad{\\br} \\tab{5}\\spad{PW}(2,{}3)=-10000.0D0*Y(2)\\spad{\\br} \\tab{5}\\spad{PW}(3,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{PW}(3,{}2)\\spad{=60000000}.0D0*Y(2)\\spad{\\br} \\tab{5}\\spad{PW}(3,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-77 -3393) 
+(-77 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine d02kef. The code is a dummy ASP: \\blankline \\tab{5}SUBROUTINE REPORT(\\spad{X},{}\\spad{V},{}JINT)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{V}(3),{}\\spad{X}\\spad{\\br} \\tab{5}INTEGER JINT\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) 
 NIL 
 NIL 
-(-78 -3393) 
+(-78 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine f04mbf,{} for example: \\blankline \\tab{5}SUBROUTINE MSOLVE(IFLAG,{}\\spad{N},{}\\spad{X},{}\\spad{Y},{}RWORK,{}LRWORK,{}IWORK,{}LIWORK)\\spad{\\br} \\tab{5}DOUBLE PRECISION RWORK(LRWORK),{}\\spad{X}(\\spad{N}),{}\\spad{Y}(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{I},{}\\spad{J},{}\\spad{N},{}LIWORK,{}IFLAG,{}LRWORK,{}IWORK(LIWORK)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{W1}(3),{}\\spad{W2}(3),{}\\spad{MS}(3,{}3)\\spad{\\br} \\tab{5}IFLAG=-1\\spad{\\br} \\tab{5}\\spad{MS}(1,{}1)\\spad{=2}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(1,{}2)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(1,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(2,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(2,{}2)\\spad{=2}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(2,{}3)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(3,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(3,{}2)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{MS}(3,{}3)\\spad{=2}.0D0\\spad{\\br} \\tab{5}CALL F04ASF(\\spad{MS},{}\\spad{N},{}\\spad{X},{}\\spad{N},{}\\spad{Y},{}\\spad{W1},{}\\spad{W2},{}IFLAG)\\spad{\\br} \\tab{5}IFLAG=-IFLAG\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END"))) 
 NIL 
 NIL 
-(-79 -3393) 
+(-79 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines c05pbf,{} c05pcf,{} for example: \\blankline \\tab{5}SUBROUTINE \\spad{FCN}(\\spad{N},{}\\spad{X},{}FVEC,{}FJAC,{}LDFJAC,{}IFLAG)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X}(\\spad{N}),{}FVEC(\\spad{N}),{}FJAC(LDFJAC,{}\\spad{N})\\spad{\\br} \\tab{5}INTEGER LDFJAC,{}\\spad{N},{}IFLAG\\spad{\\br} \\tab{5}IF(IFLAG.EQ.1)THEN\\spad{\\br} \\tab{7}FVEC(1)=(\\spad{-1}.0D0*X(2))\\spad{+X}(1)\\spad{\\br} \\tab{7}FVEC(2)=(\\spad{-1}.0D0*X(3))\\spad{+2}.0D0*X(2)\\spad{\\br} \\tab{7}FVEC(3)\\spad{=3}.0D0*X(3)\\spad{\\br} \\tab{5}ELSEIF(IFLAG.EQ.2)THEN\\spad{\\br} \\tab{7}FJAC(1,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{7}FJAC(1,{}2)=-1.0D0\\spad{\\br} \\tab{7}FJAC(1,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{7}FJAC(2,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{7}FJAC(2,{}2)\\spad{=2}.0D0\\spad{\\br} \\tab{7}FJAC(2,{}3)=-1.0D0\\spad{\\br} \\tab{7}FJAC(3,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{7}FJAC(3,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{7}FJAC(3,{}3)\\spad{=3}.0D0\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
@@ -256,66 +256,66 @@
 ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines d02raf and d02saf in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives \\spad{wrt} \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example: \\blankline \\tab{5}SUBROUTINE \\spad{G}(EPS,{}YA,{}\\spad{YB},{}\\spad{BC},{}\\spad{N})\\spad{\\br} \\tab{5}DOUBLE PRECISION EPS,{}YA(\\spad{N}),{}\\spad{YB}(\\spad{N}),{}\\spad{BC}(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{N}\\spad{\\br} \\tab{5}\\spad{BC}(1)=YA(1)\\spad{\\br} \\tab{5}\\spad{BC}(2)=YA(2)\\spad{\\br} \\tab{5}\\spad{BC}(3)\\spad{=YB}(2)\\spad{-1}.0D0\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END\\spad{\\br} \\tab{5}SUBROUTINE JACOBG(EPS,{}YA,{}\\spad{YB},{}AJ,{}\\spad{BJ},{}\\spad{N})\\spad{\\br} \\tab{5}DOUBLE PRECISION EPS,{}YA(\\spad{N}),{}AJ(\\spad{N},{}\\spad{N}),{}\\spad{BJ}(\\spad{N},{}\\spad{N}),{}\\spad{YB}(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{N}\\spad{\\br} \\tab{5}AJ(1,{}1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}AJ(1,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}AJ(1,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}AJ(2,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}AJ(2,{}2)\\spad{=1}.0D0\\spad{\\br} \\tab{5}AJ(2,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}AJ(3,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}AJ(3,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}AJ(3,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(1,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(1,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(1,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(2,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(2,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(2,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(3,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(3,{}2)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{BJ}(3,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END\\spad{\\br} \\tab{5}SUBROUTINE JACGEP(EPS,{}YA,{}\\spad{YB},{}BCEP,{}\\spad{N})\\spad{\\br} \\tab{5}DOUBLE PRECISION EPS,{}YA(\\spad{N}),{}\\spad{YB}(\\spad{N}),{}BCEP(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{N}\\spad{\\br} \\tab{5}BCEP(1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}BCEP(2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}BCEP(3)\\spad{=0}.0D0\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-82 -3393) 
+(-82 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines e04dgf,{} e04ucf,{} for example: \\blankline \\tab{5}SUBROUTINE OBJFUN(MODE,{}\\spad{N},{}\\spad{X},{}OBJF,{}OBJGRD,{}NSTATE,{}IUSER,{}USER)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X}(\\spad{N}),{}OBJF,{}OBJGRD(\\spad{N}),{}USER(*)\\spad{\\br} \\tab{5}INTEGER \\spad{N},{}IUSER(*),{}MODE,{}NSTATE\\spad{\\br} \\tab{5}OBJF=X(4)\\spad{*X}(9)+((\\spad{-1}.0D0*X(5))\\spad{+X}(3))\\spad{*X}(8)+((\\spad{-1}.0D0*X(3))\\spad{+X}(1))\\spad{*X}(7)\\spad{\\br} \\tab{4}\\spad{&+}(\\spad{-1}.0D0*X(2)\\spad{*X}(6))\\spad{\\br} \\tab{5}OBJGRD(1)\\spad{=X}(7)\\spad{\\br} \\tab{5}OBJGRD(2)=-1.0D0*X(6)\\spad{\\br} \\tab{5}OBJGRD(3)\\spad{=X}(8)+(\\spad{-1}.0D0*X(7))\\spad{\\br} \\tab{5}OBJGRD(4)\\spad{=X}(9)\\spad{\\br} \\tab{5}OBJGRD(5)=-1.0D0*X(8)\\spad{\\br} \\tab{5}OBJGRD(6)=-1.0D0*X(2)\\spad{\\br} \\tab{5}OBJGRD(7)=(\\spad{-1}.0D0*X(3))\\spad{+X}(1)\\spad{\\br} \\tab{5}OBJGRD(8)=(\\spad{-1}.0D0*X(5))\\spad{+X}(3)\\spad{\\br} \\tab{5}OBJGRD(9)\\spad{=X}(4)\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-83 -3393) 
+(-83 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form: \\blankline \\tab{5}DOUBLE PRECISION FUNCTION FUNCTN(NDIM,{}\\spad{X})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X}(NDIM)\\spad{\\br} \\tab{5}INTEGER NDIM\\spad{\\br} \\tab{5}FUNCTN=(4.0D0*X(1)\\spad{*X}(3)**2*DEXP(2.0D0*X(1)\\spad{*X}(3)))/(\\spad{X}(4)**2+(2.0D0*\\spad{\\br} \\tab{4}\\spad{&X}(2)\\spad{+2}.0D0)\\spad{*X}(4)\\spad{+X}(2)\\spad{**2+2}.0D0*X(2)\\spad{+1}.0D0)\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-84 -3393) 
+(-84 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine e04fdf,{} for example: \\blankline \\tab{5}SUBROUTINE \\spad{LSFUN1}(\\spad{M},{}\\spad{N},{}\\spad{XC},{}FVECC)\\spad{\\br} \\tab{5}DOUBLE PRECISION FVECC(\\spad{M}),{}\\spad{XC}(\\spad{N})\\spad{\\br} \\tab{5}INTEGER \\spad{I},{}\\spad{M},{}\\spad{N}\\spad{\\br} \\tab{5}FVECC(1)=((\\spad{XC}(1)\\spad{-2}.4D0)\\spad{*XC}(3)+(15.0D0*XC(1)\\spad{-36}.0D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{\\br} \\tab{4}\\spad{&XC}(3)\\spad{+15}.0D0*XC(2))\\spad{\\br} \\tab{5}FVECC(2)=((\\spad{XC}(1)\\spad{-2}.8D0)\\spad{*XC}(3)+(7.0D0*XC(1)\\spad{-19}.6D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{X}\\spad{\\br} \\tab{4}\\spad{&C}(3)\\spad{+7}.0D0*XC(2))\\spad{\\br} \\tab{5}FVECC(3)=((\\spad{XC}(1)\\spad{-3}.2D0)\\spad{*XC}(3)+(4.333333333333333D0*XC(1)\\spad{-13}.866666\\spad{\\br} \\tab{4}\\spad{&66666667D0})\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+4}.333333333333333D0*XC(2))\\spad{\\br} \\tab{5}FVECC(4)=((\\spad{XC}(1)\\spad{-3}.5D0)\\spad{*XC}(3)+(3.0D0*XC(1)\\spad{-10}.5D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{X}\\spad{\\br} \\tab{4}\\spad{&C}(3)\\spad{+3}.0D0*XC(2))\\spad{\\br} \\tab{5}FVECC(5)=((\\spad{XC}(1)\\spad{-3}.9D0)\\spad{*XC}(3)+(2.2D0*XC(1)\\spad{-8}.579999999999998D0)\\spad{*XC}\\spad{\\br} \\tab{4}&(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+2}.2D0*XC(2))\\spad{\\br} \\tab{5}FVECC(6)=((\\spad{XC}(1)\\spad{-4}.199999999999999D0)\\spad{*XC}(3)+(1.666666666666667D0*X\\spad{\\br} \\tab{4}\\spad{&C}(1)\\spad{-7}.0D0)\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+1}.666666666666667D0*XC(2))\\spad{\\br} \\tab{5}FVECC(7)=((\\spad{XC}(1)\\spad{-4}.5D0)\\spad{*XC}(3)+(1.285714285714286D0*XC(1)\\spad{-5}.7857142\\spad{\\br} \\tab{4}\\spad{&85714286D0})\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+1}.285714285714286D0*XC(2))\\spad{\\br} \\tab{5}FVECC(8)=((\\spad{XC}(1)\\spad{-4}.899999999999999D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-4}.8999999999999\\spad{\\br} \\tab{4}\\spad{&99D0})\\spad{*XC}(2)\\spad{+1}.0D0)/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(9)=((\\spad{XC}(1)\\spad{-4}.699999999999999D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-4}.6999999999999\\spad{\\br} \\tab{4}\\spad{&99D0})\\spad{*XC}(2)\\spad{+1}.285714285714286D0)/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(10)=((\\spad{XC}(1)\\spad{-6}.8D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-6}.8D0)\\spad{*XC}(2)\\spad{+1}.6666666666666\\spad{\\br} \\tab{4}\\spad{&67D0})/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(11)=((\\spad{XC}(1)\\spad{-8}.299999999999999D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-8}.299999999999\\spad{\\br} \\tab{4}\\spad{&999D0})\\spad{*XC}(2)\\spad{+2}.2D0)/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(12)=((\\spad{XC}(1)\\spad{-10}.6D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-10}.6D0)\\spad{*XC}(2)\\spad{+3}.0D0)/(\\spad{XC}(3)\\spad{\\br} \\tab{4}&+XC(2))\\spad{\\br} \\tab{5}FVECC(13)=((\\spad{XC}(1)\\spad{-1}.34D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-1}.34D0)\\spad{*XC}(2)\\spad{+4}.33333333333\\spad{\\br} \\tab{4}\\spad{&3333D0})/(\\spad{XC}(3)\\spad{+XC}(2))\\spad{\\br} \\tab{5}FVECC(14)=((\\spad{XC}(1)\\spad{-2}.1D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-2}.1D0)\\spad{*XC}(2)\\spad{+7}.0D0)/(\\spad{XC}(3)\\spad{+X}\\spad{\\br} \\tab{4}\\spad{&C}(2))\\spad{\\br} \\tab{5}FVECC(15)=((\\spad{XC}(1)\\spad{-4}.39D0)\\spad{*XC}(3)+(\\spad{XC}(1)\\spad{-4}.39D0)\\spad{*XC}(2)\\spad{+15}.0D0)/(\\spad{XC}(3\\spad{\\br} \\tab{4}&)\\spad{+XC}(2))\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-85 -3393) 
+(-85 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines e04dgf and e04ucf,{} for example: \\blankline \\tab{5}SUBROUTINE CONFUN(MODE,{}NCNLN,{}\\spad{N},{}NROWJ,{}NEEDC,{}\\spad{X},{}\\spad{C},{}CJAC,{}NSTATE,{}IUSER\\spad{\\br} \\tab{4}&,{}USER)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{C}(NCNLN),{}\\spad{X}(\\spad{N}),{}CJAC(NROWJ,{}\\spad{N}),{}USER(*)\\spad{\\br} \\tab{5}INTEGER \\spad{N},{}IUSER(*),{}NEEDC(NCNLN),{}NROWJ,{}MODE,{}NCNLN,{}NSTATE\\spad{\\br} \\tab{5}IF(NEEDC(1).\\spad{GT}.0)THEN\\spad{\\br} \\tab{7}\\spad{C}(1)\\spad{=X}(6)**2+X(1)\\spad{**2}\\spad{\\br} \\tab{7}CJAC(1,{}1)\\spad{=2}.0D0*X(1)\\spad{\\br} \\tab{7}CJAC(1,{}2)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(1,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(1,{}4)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(1,{}5)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(1,{}6)\\spad{=2}.0D0*X(6)\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}IF(NEEDC(2).\\spad{GT}.0)THEN\\spad{\\br} \\tab{7}\\spad{C}(2)\\spad{=X}(2)**2+(\\spad{-2}.0D0*X(1)\\spad{*X}(2))\\spad{+X}(1)\\spad{**2}\\spad{\\br} \\tab{7}CJAC(2,{}1)=(\\spad{-2}.0D0*X(2))\\spad{+2}.0D0*X(1)\\spad{\\br} \\tab{7}CJAC(2,{}2)\\spad{=2}.0D0*X(2)+(\\spad{-2}.0D0*X(1))\\spad{\\br} \\tab{7}CJAC(2,{}3)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(2,{}4)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(2,{}5)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(2,{}6)\\spad{=0}.0D0\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}IF(NEEDC(3).\\spad{GT}.0)THEN\\spad{\\br} \\tab{7}\\spad{C}(3)\\spad{=X}(3)**2+(\\spad{-2}.0D0*X(1)\\spad{*X}(3))\\spad{+X}(2)**2+X(1)\\spad{**2}\\spad{\\br} \\tab{7}CJAC(3,{}1)=(\\spad{-2}.0D0*X(3))\\spad{+2}.0D0*X(1)\\spad{\\br} \\tab{7}CJAC(3,{}2)\\spad{=2}.0D0*X(2)\\spad{\\br} \\tab{7}CJAC(3,{}3)\\spad{=2}.0D0*X(3)+(\\spad{-2}.0D0*X(1))\\spad{\\br} \\tab{7}CJAC(3,{}4)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(3,{}5)\\spad{=0}.0D0\\spad{\\br} \\tab{7}CJAC(3,{}6)\\spad{=0}.0D0\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-86 -3393) 
+(-86 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines c05nbf,{} c05ncf. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like: \\blankline \\tab{5}SUBROUTINE \\spad{FCN}(\\spad{N},{}\\spad{X},{}FVEC,{}IFLAG) \\tab{5}DOUBLE PRECISION \\spad{X}(\\spad{N}),{}FVEC(\\spad{N}) \\tab{5}INTEGER \\spad{N},{}IFLAG \\tab{5}FVEC(1)=(\\spad{-2}.0D0*X(2))+(\\spad{-2}.0D0*X(1)\\spad{**2})\\spad{+3}.0D0*X(1)\\spad{+1}.0D0 \\tab{5}FVEC(2)=(\\spad{-2}.0D0*X(3))+(\\spad{-2}.0D0*X(2)\\spad{**2})\\spad{+3}.0D0*X(2)+(\\spad{-1}.0D0*X(1))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(3)=(\\spad{-2}.0D0*X(4))+(\\spad{-2}.0D0*X(3)\\spad{**2})\\spad{+3}.0D0*X(3)+(\\spad{-1}.0D0*X(2))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(4)=(\\spad{-2}.0D0*X(5))+(\\spad{-2}.0D0*X(4)\\spad{**2})\\spad{+3}.0D0*X(4)+(\\spad{-1}.0D0*X(3))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(5)=(\\spad{-2}.0D0*X(6))+(\\spad{-2}.0D0*X(5)\\spad{**2})\\spad{+3}.0D0*X(5)+(\\spad{-1}.0D0*X(4))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(6)=(\\spad{-2}.0D0*X(7))+(\\spad{-2}.0D0*X(6)\\spad{**2})\\spad{+3}.0D0*X(6)+(\\spad{-1}.0D0*X(5))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(7)=(\\spad{-2}.0D0*X(8))+(\\spad{-2}.0D0*X(7)\\spad{**2})\\spad{+3}.0D0*X(7)+(\\spad{-1}.0D0*X(6))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(8)=(\\spad{-2}.0D0*X(9))+(\\spad{-2}.0D0*X(8)\\spad{**2})\\spad{+3}.0D0*X(8)+(\\spad{-1}.0D0*X(7))\\spad{+1}. \\tab{4}\\spad{&0D0} \\tab{5}FVEC(9)=(\\spad{-2}.0D0*X(9)\\spad{**2})\\spad{+3}.0D0*X(9)+(\\spad{-1}.0D0*X(8))\\spad{+1}.0D0 \\tab{5}RETURN \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-87 -3393) 
+(-87 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine d03eef,{} for example: \\blankline \\tab{5}SUBROUTINE PDEF(\\spad{X},{}\\spad{Y},{}ALPHA,{}BETA,{}GAMMA,{}DELTA,{}EPSOLN,{}PHI,{}PSI)\\spad{\\br} \\tab{5}DOUBLE PRECISION ALPHA,{}EPSOLN,{}PHI,{}\\spad{X},{}\\spad{Y},{}BETA,{}DELTA,{}GAMMA,{}PSI\\spad{\\br} \\tab{5}ALPHA=DSIN(\\spad{X})\\spad{\\br} \\tab{5}BETA=Y\\spad{\\br} \\tab{5}GAMMA=X*Y\\spad{\\br} \\tab{5}DELTA=DCOS(\\spad{X})*DSIN(\\spad{Y})\\spad{\\br} \\tab{5}EPSOLN=Y+X\\spad{\\br} \\tab{5}PHI=X\\spad{\\br} \\tab{5}PSI=Y\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-88 -3393) 
+(-88 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine d03eef,{} for example: \\blankline \\tab{5} SUBROUTINE BNDY(\\spad{X},{}\\spad{Y},{}A,{}\\spad{B},{}\\spad{C},{}IBND)\\spad{\\br} \\tab{5} DOUBLE PRECISION A,{}\\spad{B},{}\\spad{C},{}\\spad{X},{}\\spad{Y}\\spad{\\br} \\tab{5} INTEGER IBND\\spad{\\br} \\tab{5} IF(IBND.EQ.0)THEN\\spad{\\br} \\tab{7} \\spad{A=0}.0D0\\spad{\\br} \\tab{7} \\spad{B=1}.0D0\\spad{\\br} \\tab{7} \\spad{C=}-1.0D0*DSIN(\\spad{X})\\spad{\\br} \\tab{5} ELSEIF(IBND.EQ.1)THEN\\spad{\\br} \\tab{7} \\spad{A=1}.0D0\\spad{\\br} \\tab{7} \\spad{B=0}.0D0\\spad{\\br} \\tab{7} C=DSIN(\\spad{X})*DSIN(\\spad{Y})\\spad{\\br} \\tab{5} ELSEIF(IBND.EQ.2)THEN\\spad{\\br} \\tab{7} \\spad{A=1}.0D0\\spad{\\br} \\tab{7} \\spad{B=0}.0D0\\spad{\\br} \\tab{7} C=DSIN(\\spad{X})*DSIN(\\spad{Y})\\spad{\\br} \\tab{5} ELSEIF(IBND.EQ.3)THEN\\spad{\\br} \\tab{7} \\spad{A=0}.0D0\\spad{\\br} \\tab{7} \\spad{B=1}.0D0\\spad{\\br} \\tab{7} \\spad{C=}-1.0D0*DSIN(\\spad{Y})\\spad{\\br} \\tab{5} ENDIF\\spad{\\br} \\tab{5} END")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-89 -3393) 
+(-89 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine d02gbf,{} for example: \\blankline \\tab{5}SUBROUTINE FCNF(\\spad{X},{}\\spad{F})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X}\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{F}(2,{}2)\\spad{\\br} \\tab{5}\\spad{F}(1,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{F}(1,{}2)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{F}(2,{}1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{F}(2,{}2)=-10.0D0\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-90 -3393) 
+(-90 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine d02gbf,{} for example: \\blankline \\tab{5}SUBROUTINE FCNG(\\spad{X},{}\\spad{G})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{G}(*),{}\\spad{X}\\spad{\\br} \\tab{5}\\spad{G}(1)\\spad{=0}.0D0\\spad{\\br} \\tab{5}\\spad{G}(2)\\spad{=0}.0D0\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-91 -3393) 
+(-91 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines d02bbf,{} d02gaf. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like: \\blankline \\tab{5}SUBROUTINE \\spad{FCN}(\\spad{X},{}\\spad{Z},{}\\spad{F})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{F}(*),{}\\spad{X},{}\\spad{Z}(*)\\spad{\\br} \\tab{5}\\spad{F}(1)=DTAN(\\spad{Z}(3))\\spad{\\br} \\tab{5}\\spad{F}(2)=((\\spad{-0}.03199999999999999D0*DCOS(\\spad{Z}(3))*DTAN(\\spad{Z}(3)))+(\\spad{-0}.02D0*Z(2)\\spad{\\br} \\tab{4}\\spad{&**2}))/(\\spad{Z}(2)*DCOS(\\spad{Z}(3)))\\spad{\\br} \\tab{5}\\spad{F}(3)=-0.03199999999999999D0/(\\spad{X*Z}(2)\\spad{**2})\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-92 -3393) 
+(-92 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine d02kef,{} for example: \\blankline \\tab{5}SUBROUTINE BDYVAL(\\spad{XL},{}\\spad{XR},{}ELAM,{}\\spad{YL},{}\\spad{YR})\\spad{\\br} \\tab{5}DOUBLE PRECISION ELAM,{}\\spad{XL},{}\\spad{YL}(3),{}\\spad{XR},{}\\spad{YR}(3)\\spad{\\br} \\tab{5}\\spad{YL}(1)\\spad{=XL}\\spad{\\br} \\tab{5}\\spad{YL}(2)\\spad{=2}.0D0\\spad{\\br} \\tab{5}\\spad{YR}(1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}\\spad{YR}(2)=-1.0D0*DSQRT(\\spad{XR+}(\\spad{-1}.0D0*ELAM))\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-93 -3393) 
+(-93 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine d02bbf. This ASP prints intermediate values of the computed solution of an ODE and might look like: \\blankline \\tab{5}SUBROUTINE OUTPUT(XSOL,{}\\spad{Y},{}COUNT,{}\\spad{M},{}\\spad{N},{}RESULT,{}FORWRD)\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{Y}(\\spad{N}),{}RESULT(\\spad{M},{}\\spad{N}),{}XSOL\\spad{\\br} \\tab{5}INTEGER \\spad{M},{}\\spad{N},{}COUNT\\spad{\\br} \\tab{5}LOGICAL FORWRD\\spad{\\br} \\tab{5}DOUBLE PRECISION X02ALF,{}POINTS(8)\\spad{\\br} \\tab{5}EXTERNAL X02ALF\\spad{\\br} \\tab{5}INTEGER \\spad{I}\\spad{\\br} \\tab{5}POINTS(1)\\spad{=1}.0D0\\spad{\\br} \\tab{5}POINTS(2)\\spad{=2}.0D0\\spad{\\br} \\tab{5}POINTS(3)\\spad{=3}.0D0\\spad{\\br} \\tab{5}POINTS(4)\\spad{=4}.0D0\\spad{\\br} \\tab{5}POINTS(5)\\spad{=5}.0D0\\spad{\\br} \\tab{5}POINTS(6)\\spad{=6}.0D0\\spad{\\br} \\tab{5}POINTS(7)\\spad{=7}.0D0\\spad{\\br} \\tab{5}POINTS(8)\\spad{=8}.0D0\\spad{\\br} \\tab{5}\\spad{COUNT=COUNT+1}\\spad{\\br} \\tab{5}DO 25001 \\spad{I=1},{}\\spad{N}\\spad{\\br} \\tab{7} RESULT(COUNT,{}\\spad{I})\\spad{=Y}(\\spad{I})\\spad{\\br} 25001 CONTINUE\\spad{\\br} \\tab{5}IF(COUNT.EQ.\\spad{M})THEN\\spad{\\br} \\tab{7}IF(FORWRD)THEN\\spad{\\br} \\tab{9}XSOL=X02ALF()\\spad{\\br} \\tab{7}ELSE\\spad{\\br} \\tab{9}XSOL=-X02ALF()\\spad{\\br} \\tab{7}ENDIF\\spad{\\br} \\tab{5}ELSE\\spad{\\br} \\tab{7} XSOL=POINTS(COUNT)\\spad{\\br} \\tab{5}ENDIF\\spad{\\br} \\tab{5}END"))) 
 NIL 
 NIL 
-(-94 -3393) 
+(-94 -1486) 
 ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines d02bhf,{} d02cjf,{} d02ejf. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example: \\blankline \\tab{5}DOUBLE PRECISION FUNCTION \\spad{G}(\\spad{X},{}\\spad{Y})\\spad{\\br} \\tab{5}DOUBLE PRECISION \\spad{X},{}\\spad{Y}(*)\\spad{\\br} \\tab{5}G=X+Y(1)\\spad{\\br} \\tab{5}RETURN\\spad{\\br} \\tab{5}END \\blankline If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
 (-95 R L) 
 ((|constructor| (NIL "\\spadtype{AssociatedEquations} provides functions to compute the associated equations needed for factoring operators")) (|associatedEquations| (((|Record| (|:| |minor| (|List| (|PositiveInteger|))) (|:| |eq| |#2|) (|:| |minors| (|List| (|List| (|PositiveInteger|)))) (|:| |ops| (|List| |#2|))) |#2| (|PositiveInteger|)) "\\spad{associatedEquations(op,{} m)} returns \\spad{[w,{} eq,{} lw,{} lop]} such that \\spad{eq(w) = 0} where \\spad{w} is the given minor,{} and \\spad{lw_i = lop_i(w)} for all the other minors.")) (|uncouplingMatrices| (((|Vector| (|Matrix| |#1|)) (|Matrix| |#1|)) "\\spad{uncouplingMatrices(M)} returns \\spad{[A_1,{}...,{}A_n]} such that if \\spad{y = [y_1,{}...,{}y_n]} is a solution of \\spad{y' = M y},{} then \\spad{[\\$y_j',{}y_j'',{}...,{}y_j^{(n)}\\$] = \\$A_j y\\$} for all \\spad{j}\\spad{'s}.")) (|associatedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| (|List| (|PositiveInteger|))))) |#2| (|PositiveInteger|)) "\\spad{associatedSystem(op,{} m)} returns \\spad{[M,{}w]} such that the \\spad{m}-th associated equation system to \\spad{L} is \\spad{w' = M w}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365)))) 
+((|HasCategory| |#1| (QUOTE (-366)))) 
 (-96 S) 
 ((|constructor| (NIL "A stack represented as a flexible array.")) (|member?| (((|Boolean|) |#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} member?(3,{}a)")) (|members| (((|List| |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} members a")) (|parts| (((|List| |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} parts a")) (|#| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} \\#a")) (|count| (((|NonNegativeInteger|) |#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} count(4,{}a)") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} count(\\spad{x+}->(\\spad{x>2}),{}a)")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} any?(\\spad{x+}->(\\spad{x=4}),{}a)")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} every?(\\spad{x+}->(\\spad{x=4}),{}a)")) (~= (((|Boolean|) $ $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} (a~=b)")) (= (((|Boolean|) $ $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} b:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} (a=b)@Boolean")) (|coerce| (((|OutputForm|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} coerce a")) (|hash| (((|SingleInteger|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} hash a")) (|latex| (((|String|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} latex a")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} map!(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} map(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|eq?| (((|Boolean|) $ $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} eq?(a,{}\\spad{b})")) (|copy| (($ $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} copy a")) (|sample| (($) "\\blankline \\spad{X} sample()\\$ArrayStack(INT)")) (|empty| (($) "\\blankline \\spad{X} b:=empty()\\$(ArrayStack INT)")) (|empty?| (((|Boolean|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} empty? a")) (|bag| (($ (|List| |#1|)) "\\blankline \\spad{X} bag([1,{}2,{}3,{}4,{}5])\\$ArrayStack(INT)")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} size?(a,{}5)")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} more?(a,{}9)")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} less?(a,{}9)")) (|depth| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} depth a")) (|top| ((|#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} top a")) (|inspect| ((|#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} inspect a")) (|insert!| (($ |#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} insert!(8,{}a) \\spad{X} a")) (|push!| ((|#1| |#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} push!(9,{}a) \\spad{X} a")) (|extract!| ((|#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} extract! a \\spad{X} a")) (|pop!| ((|#1| $) "\\blankline \\spad{X} a:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5] \\spad{X} pop! a \\spad{X} a")) (|arrayStack| (($ (|List| |#1|)) "\\indented{1}{arrayStack([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) creates an array stack with first (top)} \\indented{1}{element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}.} \\blankline \\spad{E} c:ArrayStack INT:= arrayStack [1,{}2,{}3,{}4,{}5]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
 (-97 S) 
 ((|constructor| (NIL "Category for the inverse trigonometric functions.")) (|atan| (($ $) "\\spad{atan(x)} returns the arc-tangent of \\spad{x}.")) (|asin| (($ $) "\\spad{asin(x)} returns the arc-sine of \\spad{x}.")) (|asec| (($ $) "\\spad{asec(x)} returns the arc-secant of \\spad{x}.")) (|acsc| (($ $) "\\spad{acsc(x)} returns the arc-cosecant of \\spad{x}.")) (|acot| (($ $) "\\spad{acot(x)} returns the arc-cotangent of \\spad{x}.")) (|acos| (($ $) "\\spad{acos(x)} returns the arc-cosine of \\spad{x}."))) 
 NIL 
@@ -326,15 +326,15 @@
 NIL 
 (-99) 
 ((|constructor| (NIL "\\axiomType{AttributeButtons} implements a database and associated adjustment mechanisms for a set of attributes. \\blankline For ODEs these attributes are \"stiffness\",{} \"stability\" (\\spadignore{i.e.} how much affect the cosine or sine component of the solution has on the stability of the result),{} \"accuracy\" and \"expense\" (\\spadignore{i.e.} how expensive is the evaluation of the ODE). All these have bearing on the cost of calculating the solution given that reducing the step-length to achieve greater accuracy requires considerable number of evaluations and calculations. \\blankline The effect of each of these attributes can be altered by increasing or decreasing the button value. \\blankline For Integration there is a button for increasing and decreasing the preset number of function evaluations for each method. This is automatically used by ANNA when a method fails due to insufficient workspace or where the limit of function evaluations has been reached before the required accuracy is achieved.")) (|setButtonValue| (((|Float|) (|String|) (|String|) (|Float|)) "\\axiom{setButtonValue(attributeName,{}routineName,{}\\spad{n})} sets the value of the button of attribute \\spad{attributeName} to routine \\spad{routineName} to \\spad{n}. \\spad{n} must be in the range [0..1]. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".") (((|Float|) (|String|) (|Float|)) "\\axiom{setButtonValue(attributeName,{}\\spad{n})} sets the value of all buttons of attribute \\spad{attributeName} to \\spad{n}. \\spad{n} must be in the range [0..1]. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".")) (|setAttributeButtonStep| (((|Float|) (|Float|)) "\\axiom{setAttributeButtonStep(\\spad{n})} sets the value of the steps for increasing and decreasing the button values. \\axiom{\\spad{n}} must be greater than 0 and less than 1. The preset value is 0.5.")) (|resetAttributeButtons| (((|Void|)) "\\axiom{resetAttributeButtons()} resets the Attribute buttons to a neutral level.")) (|getButtonValue| (((|Float|) (|String|) (|String|)) "\\axiom{getButtonValue(routineName,{}attributeName)} returns the current value for the effect of the attribute \\axiom{attributeName} with routine \\axiom{routineName}. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".")) (|decrease| (((|Float|) (|String|)) "\\axiom{decrease(attributeName)} decreases the value for the effect of the attribute \\axiom{attributeName} with all routines. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".") (((|Float|) (|String|) (|String|)) "\\axiom{decrease(routineName,{}attributeName)} decreases the value for the effect of the attribute \\axiom{attributeName} with routine \\axiom{routineName}. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".")) (|increase| (((|Float|) (|String|)) "\\axiom{increase(attributeName)} increases the value for the effect of the attribute \\axiom{attributeName} with all routines. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".") (((|Float|) (|String|) (|String|)) "\\axiom{increase(routineName,{}attributeName)} increases the value for the effect of the attribute \\axiom{attributeName} with routine \\axiom{routineName}. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\"."))) 
-((-4521 . T)) 
+((-4535 . T)) 
 NIL 
 (-100) 
 ((|constructor| (NIL "This category exports the attributes in the AXIOM Library")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\".")) (|canonical| ((|attribute|) "\\spad{canonical} is \\spad{true} if and only if distinct elements have distinct data structures. For example,{} a domain of mathematical objects which has the \\spad{canonical} attribute means that two objects are mathematically equal if and only if their data structures are equal.")) (|multiplicativeValuation| ((|attribute|) "\\spad{multiplicativeValuation} implies \\spad{euclideanSize(a*b)=euclideanSize(a)*euclideanSize(b)}.")) (|additiveValuation| ((|attribute|) "\\spad{additiveValuation} implies \\spad{euclideanSize(a*b)=euclideanSize(a)+euclideanSize(b)}.")) (|noetherian| ((|attribute|) "\\spad{noetherian} is \\spad{true} if all of its ideals are finitely generated.")) (|central| ((|attribute|) "\\spad{central} is \\spad{true} if,{} given an algebra over a ring \\spad{R},{} the image of \\spad{R} is the center of the algebra,{} \\spadignore{i.e.} the set of members of the algebra which commute with all others is precisely the image of \\spad{R} in the algebra.")) (|partiallyOrderedSet| ((|attribute|) "\\spad{partiallyOrderedSet} is \\spad{true} if a set with \\spadop{<} which is transitive,{} but \\spad{not(a < b or a = b)} does not necessarily imply \\spad{b D} which is commutative.")) (|finiteAggregate| ((|attribute|) "\\spad{finiteAggregate} is \\spad{true} if it is an aggregate with a finite number of elements."))) 
-((-4521 . T) ((-4523 "*") . T) (-4522 . T) (-4518 . T) (-4516 . T) (-4515 . T) (-4514 . T) (-4519 . T) (-4513 . T) (-4512 . T) (-4511 . T) (-4510 . T) (-4509 . T) (-4517 . T) (-4520 . T) (|NullSquare| . T) (|JacobiIdentity| . T) (-4508 . T) (-3999 . T)) 
+((-4535 . T) ((-4537 "*") . T) (-4536 . T) (-4532 . T) (-4530 . T) (-4529 . T) (-4528 . T) (-4533 . T) (-4527 . T) (-4526 . T) (-4525 . T) (-4524 . T) (-4523 . T) (-4531 . T) (-4534 . T) (|NullSquare| . T) (|JacobiIdentity| . T) (-4522 . T) (-2994 . T)) 
 NIL 
 (-101 R) 
 ((|constructor| (NIL "Automorphism \\spad{R} is the multiplicative group of automorphisms of \\spad{R}.")) (|morphism| (($ (|Mapping| |#1| |#1| (|Integer|))) "\\spad{morphism(f)} returns the morphism given by \\spad{f^n(x) = f(x,{}n)}.") (($ (|Mapping| |#1| |#1|) (|Mapping| |#1| |#1|)) "\\spad{morphism(f,{} g)} returns the invertible morphism given by \\spad{f},{} where \\spad{g} is the inverse of \\spad{f}..") (($ (|Mapping| |#1| |#1|)) "\\spad{morphism(f)} returns the non-invertible morphism given by \\spad{f}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
 (-102) 
 ((|constructor| (NIL "This package provides a functions to support a web server for the new Axiom Browser functions."))) 
@@ -354,8 +354,8 @@
 NIL 
 (-106 S) 
 ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\indented{1}{mapDown!(\\spad{t},{}\\spad{p},{}\\spad{f}) returns \\spad{t} after traversing \\spad{t} in \"preorder\"} \\indented{1}{(node then left then right) fashion replacing the successive} \\indented{1}{interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and} \\indented{1}{right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}.} \\indented{1}{Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left} \\indented{1}{and right subtrees of \\spad{t},{} is evaluated producing two values} \\indented{1}{\\spad{pl} and \\spad{pr}. Then \\spad{mapDown!(l,{}pl,{}f)} and \\spad{mapDown!(l,{}pr,{}f)}} \\indented{1}{are evaluated.} \\blankline \\spad{X} T1:=BalancedBinaryTree Integer \\spad{X} t2:=balancedBinaryTree(4,{} 0)\\$\\spad{T1} \\spad{X} setleaves!(\\spad{t2},{}[1,{}2,{}3,{}4]::List(Integer)) \\spad{X} \\spad{adder3}(i:Integer,{}j:Integer,{}k:Integer):List Integer \\spad{==} [i+j,{}\\spad{j+k}] \\spad{X} mapDown!(\\spad{t2},{}4::INT,{}\\spad{adder3}) \\spad{X} \\spad{t2}") (($ $ |#1| (|Mapping| |#1| |#1| |#1|)) "\\indented{1}{mapDown!(\\spad{t},{}\\spad{p},{}\\spad{f}) returns \\spad{t} after traversing \\spad{t} in \"preorder\"} \\indented{1}{(node then left then right) fashion replacing the successive} \\indented{1}{interior nodes as follows. The root value \\spad{x} is} \\indented{1}{replaced by \\spad{q} \\spad{:=} \\spad{f}(\\spad{p},{}\\spad{x}). The mapDown!(\\spad{l},{}\\spad{q},{}\\spad{f}) and} \\indented{1}{mapDown!(\\spad{r},{}\\spad{q},{}\\spad{f}) are evaluated for the left and right subtrees} \\indented{1}{\\spad{l} and \\spad{r} of \\spad{t}.} \\blankline \\spad{X} T1:=BalancedBinaryTree Integer \\spad{X} t2:=balancedBinaryTree(4,{} 0)\\$\\spad{T1} \\spad{X} setleaves!(\\spad{t2},{}[1,{}2,{}3,{}4]::List(Integer)) \\spad{X} adder(i:Integer,{}j:Integer):Integer \\spad{==} i+j \\spad{X} mapDown!(\\spad{t2},{}4::INT,{}adder) \\spad{X} \\spad{t2}")) (|mapUp!| (($ $ $ (|Mapping| |#1| |#1| |#1| |#1| |#1|)) "\\indented{1}{mapUp!(\\spad{t},{}\\spad{t1},{}\\spad{f}) traverses balanced binary tree \\spad{t} in an \"endorder\"} \\indented{1}{(left then right then node) fashion returning \\spad{t} with the value} \\indented{1}{at each successive interior node of \\spad{t} replaced by} \\indented{1}{\\spad{f}(\\spad{l},{}\\spad{r},{}\\spad{l1},{}\\spad{r1}) where \\spad{l} and \\spad{r} are the values at the immediate} \\indented{1}{left and right nodes. Values \\spad{l1} and \\spad{r1} are values at the} \\indented{1}{corresponding nodes of a balanced binary tree \\spad{t1},{} of identical} \\indented{1}{shape at \\spad{t}.} \\blankline \\spad{X} T1:=BalancedBinaryTree Integer \\spad{X} t2:=balancedBinaryTree(4,{} 0)\\$\\spad{T1} \\spad{X} setleaves!(\\spad{t2},{}[1,{}2,{}3,{}4]::List(Integer)) \\spad{X} \\spad{adder4}(i:INT,{}j:INT,{}k:INT,{}l:INT):INT \\spad{==} i+j+k+l \\spad{X} mapUp!(\\spad{t2},{}\\spad{t2},{}\\spad{adder4}) \\spad{X} \\spad{t2}") ((|#1| $ (|Mapping| |#1| |#1| |#1|)) "\\indented{1}{mapUp!(\\spad{t},{}\\spad{f}) traverses balanced binary tree \\spad{t} in an \"endorder\"} \\indented{1}{(left then right then node) fashion returning \\spad{t} with the value} \\indented{1}{at each successive interior node of \\spad{t} replaced by} \\indented{1}{\\spad{f}(\\spad{l},{}\\spad{r}) where \\spad{l} and \\spad{r} are the values at the immediate} \\indented{1}{left and right nodes.} \\blankline \\spad{X} T1:=BalancedBinaryTree Integer \\spad{X} t2:=balancedBinaryTree(4,{} 0)\\$\\spad{T1} \\spad{X} setleaves!(\\spad{t2},{}[1,{}2,{}3,{}4]::List(Integer)) \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} mapUp!(\\spad{t2},{}adder) \\spad{X} \\spad{t2}")) (|setleaves!| (($ $ (|List| |#1|)) "\\indented{1}{setleaves!(\\spad{t},{} \\spad{ls}) sets the leaves of \\spad{t} in left-to-right order} \\indented{1}{to the elements of \\spad{ls}.} \\blankline \\spad{X} t1:=balancedBinaryTree(4,{} 0) \\spad{X} setleaves!(\\spad{t1},{}[1,{}2,{}3,{}4])")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\indented{1}{balancedBinaryTree(\\spad{n},{} \\spad{s}) creates a balanced binary tree with} \\indented{1}{\\spad{n} nodes each with value \\spad{s}.} \\blankline \\spad{X} balancedBinaryTree(4,{} 0)"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
 (-107 R) 
 ((|constructor| (NIL "Provide linear,{} quadratic,{} and cubic spline bezier curves")) (|cubicBezier| (((|Mapping| (|List| |#1|) |#1|) (|List| |#1|) (|List| |#1|) (|List| |#1|) (|List| |#1|)) "\\indented{1}{A cubic Bezier curve is a simple interpolation between the} \\indented{1}{starting point,{} a left-middle point,{},{} a right-middle point,{}} \\indented{1}{and the ending point based on a parameter \\spad{t}.} \\indented{1}{Given a start point a=[\\spad{x1},{}\\spad{y1}],{} the left-middle point \\spad{b=}[\\spad{x2},{}\\spad{y2}],{}} \\indented{1}{the right-middle point \\spad{c=}[\\spad{x3},{}\\spad{y3}] and an endpoint \\spad{d=}[\\spad{x4},{}\\spad{y4}]} \\indented{1}{\\spad{f}(\\spad{t}) \\spad{==} [(1-\\spad{t})\\spad{^3} \\spad{x1} + 3t(1-\\spad{t})\\spad{^2} \\spad{x2} + 3t^2 (1-\\spad{t}) \\spad{x3} + \\spad{t^3} \\spad{x4},{}} \\indented{10}{(1-\\spad{t})\\spad{^3} \\spad{y1} + 3t(1-\\spad{t})\\spad{^2} \\spad{y2} + 3t^2 (1-\\spad{t}) \\spad{y3} + \\spad{t^3} \\spad{y4}]} \\blankline \\spad{X} n:=cubicBezier([2.0,{}2.0],{}[2.0,{}4.0],{}[6.0,{}4.0],{}[6.0,{}2.0]) \\spad{X} [\\spad{n}(\\spad{t/10}.0) for \\spad{t} in 0..10 by 1]")) (|quadraticBezier| (((|Mapping| (|List| |#1|) |#1|) (|List| |#1|) (|List| |#1|) (|List| |#1|)) "\\indented{1}{A quadratic Bezier curve is a simple interpolation between the} \\indented{1}{starting point,{} a middle point,{} and the ending point based on} \\indented{1}{a parameter \\spad{t}.} \\indented{1}{Given a start point a=[\\spad{x1},{}\\spad{y1}],{} a middle point \\spad{b=}[\\spad{x2},{}\\spad{y2}],{}} \\indented{1}{and an endpoint \\spad{c=}[\\spad{x3},{}\\spad{y3}]} \\indented{1}{\\spad{f}(\\spad{t}) \\spad{==} [(1-\\spad{t})\\spad{^2} \\spad{x1} + 2t(1-\\spad{t}) \\spad{x2} + \\spad{t^2} \\spad{x3},{}} \\indented{10}{(1-\\spad{t})\\spad{^2} \\spad{y1} + 2t(1-\\spad{t}) \\spad{y2} + \\spad{t^2} \\spad{y3}]} \\blankline \\spad{X} n:=quadraticBezier([2.0,{}2.0],{}[4.0,{}4.0],{}[6.0,{}2.0]) \\spad{X} [\\spad{n}(\\spad{t/10}.0) for \\spad{t} in 0..10 by 1]")) (|linearBezier| (((|Mapping| (|List| |#1|) |#1|) (|List| |#1|) (|List| |#1|)) "\\indented{1}{A linear Bezier curve is a simple interpolation between the} \\indented{1}{starting point and the ending point based on a parameter \\spad{t}.} \\indented{1}{Given a start point a=[\\spad{x1},{}\\spad{y1}] and an endpoint \\spad{b=}[\\spad{x2},{}\\spad{y2}]} \\indented{1}{\\spad{f}(\\spad{t}) \\spad{==} [(1-\\spad{t})\\spad{*x1} + \\spad{t*x2},{} (1-\\spad{t})\\spad{*y1} + \\spad{t*y2}]} \\blankline \\spad{X} n:=linearBezier([2.0,{}2.0],{}[4.0,{}4.0]) \\spad{X} [\\spad{n}(\\spad{t/10}.0) for \\spad{t} in 0..10 by 1]"))) 
 NIL 
@@ -363,10 +363,10 @@
 (-108 R UP M |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,{}q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,{}q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,{}q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE (-4523 "*")))) 
+((|HasAttribute| |#1| (QUOTE (-4537 "*")))) 
 (-109) 
 ((|constructor| (NIL "A Domain which implements a table containing details of points at which particular functions have evaluation problems.")) (|bfEntry| (((|Record| (|:| |zeros| (|Stream| (|DoubleFloat|))) (|:| |ones| (|Stream| (|DoubleFloat|))) (|:| |singularities| (|Stream| (|DoubleFloat|)))) (|Symbol|)) "\\spad{bfEntry(k)} returns the entry in the \\axiomType{BasicFunctions} table corresponding to \\spad{k}")) (|bfKeys| (((|List| (|Symbol|))) "\\spad{bfKeys()} returns the names of each function in the \\axiomType{BasicFunctions} table"))) 
-((-4521 . T)) 
+((-4535 . T)) 
 NIL 
 (-110 A S) 
 ((|constructor| (NIL "A bag aggregate is an aggregate for which one can insert and extract objects,{} and where the order in which objects are inserted determines the order of extraction. Examples of bags are stacks,{} queues,{} and dequeues.")) (|inspect| ((|#2| $) "\\spad{inspect(u)} returns an (random) element from a bag.")) (|insert!| (($ |#2| $) "\\spad{insert!(x,{}u)} inserts item \\spad{x} into bag \\spad{u}.")) (|extract!| ((|#2| $) "\\spad{extract!(u)} destructively removes a (random) item from bag \\spad{u}.")) (|bag| (($ (|List| |#2|)) "\\spad{bag([x,{}y,{}...,{}z])} creates a bag with elements \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.")) (|shallowlyMutable| ((|attribute|) "shallowlyMutable means that elements of bags may be destructively changed."))) 
@@ -374,20 +374,20 @@
 NIL 
 (-111 S) 
 ((|constructor| (NIL "A bag aggregate is an aggregate for which one can insert and extract objects,{} and where the order in which objects are inserted determines the order of extraction. Examples of bags are stacks,{} queues,{} and dequeues.")) (|inspect| ((|#1| $) "\\spad{inspect(u)} returns an (random) element from a bag.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,{}u)} inserts item \\spad{x} into bag \\spad{u}.")) (|extract!| ((|#1| $) "\\spad{extract!(u)} destructively removes a (random) item from bag \\spad{u}.")) (|bag| (($ (|List| |#1|)) "\\spad{bag([x,{}y,{}...,{}z])} creates a bag with elements \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.")) (|shallowlyMutable| ((|attribute|) "shallowlyMutable means that elements of bags may be destructively changed."))) 
-((-4522 . T) (-3973 . T)) 
+((-4536 . T) (-2982 . T)) 
 NIL 
 (-112) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\indented{1}{binary(\\spad{r}) converts a rational number to a binary expansion.} \\blankline \\spad{X} binary(22/7)")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion.")) (|coerce| (((|RadixExpansion| 2) $) "\\spad{coerce(b)} converts a binary expansion to a radix expansion with base 2.") (((|Fraction| (|Integer|)) $) "\\spad{coerce(b)} converts a binary expansion to a rational number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-568) (QUOTE (-904))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-568) (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-150))) (|HasCategory| (-568) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-568) (QUOTE (-1021))) (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-1136))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-568) (QUOTE (-225))) (|HasCategory| (-568) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-568) (LIST (QUOTE -523) (QUOTE (-1161)) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -303) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -281) (QUOTE (-568)) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-301))) (|HasCategory| (-568) (QUOTE (-550))) (|HasCategory| (-568) (QUOTE (-842))) (-2199 (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (QUOTE (-842)))) (|HasCategory| (-568) (LIST (QUOTE -630) (QUOTE (-568)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (|HasCategory| (-568) (QUOTE (-148))))) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-569) (QUOTE (-905))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-569) (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-151))) (|HasCategory| (-569) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-569) (QUOTE (-1022))) (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-1137))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-569) (QUOTE (-226))) (|HasCategory| (-569) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-569) (LIST (QUOTE -524) (QUOTE (-1163)) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -282) (QUOTE (-569)) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-302))) (|HasCategory| (-569) (QUOTE (-551))) (|HasCategory| (-569) (QUOTE (-843))) (-2232 (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (QUOTE (-843)))) (|HasCategory| (-569) (LIST (QUOTE -631) (QUOTE (-569)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (|HasCategory| (-569) (QUOTE (-149))))) 
 (-113) 
 ((|constructor| (NIL "This domain provides an implementation of binary files. Data is accessed one byte at a time as a small integer.")) (|position!| (((|SingleInteger|) $ (|SingleInteger|)) "\\spad{position!(f,{} i)} sets the current byte-position to \\spad{i}.")) (|position| (((|SingleInteger|) $) "\\spad{position(f)} returns the current byte-position in the file \\spad{f}.")) (|readIfCan!| (((|Union| (|SingleInteger|) "failed") $) "\\spad{readIfCan!(f)} returns a value from the file \\spad{f},{} if possible. If \\spad{f} is not open for reading,{} or if \\spad{f} is at the end of file then \\spad{\"failed\"} is the result."))) 
 NIL 
 NIL 
 (-114) 
 ((|constructor| (NIL "\\spadtype{Bits} provides logical functions for Indexed Bits.")) (|bits| (($ (|NonNegativeInteger|) (|Boolean|)) "\\spad{bits(n,{}b)} creates bits with \\spad{n} values of \\spad{b}"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-121) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-121) (QUOTE (-842))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-121) (QUOTE (-1090))) (-12 (|HasCategory| (-121) (LIST (QUOTE -303) (QUOTE (-121)))) (|HasCategory| (-121) (QUOTE (-1090))))) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-121) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-121) (QUOTE (-843))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-121) (QUOTE (-1091))) (-12 (|HasCategory| (-121) (LIST (QUOTE -304) (QUOTE (-121)))) (|HasCategory| (-121) (QUOTE (-1091))))) 
 (-115) 
 ((|constructor| (NIL "This package provides an interface to the Blas library (level 1)")) (|dcopy| (((|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|) (|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|) (|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|)) "\\indented{1}{dcopy(\\spad{n},{}\\spad{x},{}incx,{}\\spad{y},{}incy) copies \\spad{y} from \\spad{x}} \\indented{1}{for each of the chosen elements of the vectors \\spad{x} and \\spad{y}} \\indented{1}{Note that the vector \\spad{y} is modified with the results.} \\blankline \\spad{X} x:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0,{}4.0,{}5.0,{}6.0] ] \\spad{X} y:PRIMARR(DFLOAT)\\spad{:=}[ [0.0,{}0.0,{}0.0,{}0.0,{}0.0,{}0.0] ] \\spad{X} dcopy(6,{}\\spad{x},{}1,{}\\spad{y},{}1) \\spad{X} \\spad{y} \\spad{X} m:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0] ] \\spad{X} n:PRIMARR(DFLOAT)\\spad{:=}[ [0.0,{}0.0,{}0.0,{}0.0,{}0.0,{}0.0] ] \\spad{X} dcopy(3,{}\\spad{m},{}1,{}\\spad{n},{}2) \\spad{X} \\spad{n}")) (|daxpy| (((|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|) (|DoubleFloat|) (|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|) (|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|)) "\\indented{1}{daxpy(\\spad{n},{}da,{}\\spad{x},{}incx,{}\\spad{y},{}incy) computes a \\spad{y} = a*x + \\spad{y}} \\indented{1}{for each of the chosen elements of the vectors \\spad{x} and \\spad{y}} \\indented{1}{and a constant multiplier a} \\indented{1}{Note that the vector \\spad{y} is modified with the results.} \\blankline \\spad{X} x:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0,{}4.0,{}5.0,{}6.0] ] \\spad{X} y:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0,{}4.0,{}5.0,{}6.0] ] \\spad{X} daxpy(6,{}2.0,{}\\spad{x},{}1,{}\\spad{y},{}1) \\spad{X} \\spad{y} \\spad{X} m:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0] ] \\spad{X} n:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0,{}4.0,{}5.0,{}6.0] ] \\spad{X} daxpy(3,{}\\spad{-2}.0,{}\\spad{m},{}1,{}\\spad{n},{}2) \\spad{X} \\spad{n}")) (|dasum| (((|DoubleFloat|) (|SingleInteger|) (|PrimitiveArray| (|DoubleFloat|)) (|SingleInteger|)) "\\indented{1}{dasum(\\spad{n},{}array,{}incx) computes the sum of \\spad{n} elements in array} \\indented{1}{using a stride of incx} \\blankline \\spad{X} dx:PRIMARR(DFLOAT)\\spad{:=}[ [1.0,{}2.0,{}3.0,{}4.0,{}5.0,{}6.0] ] \\spad{X} dasum(6,{}\\spad{dx},{}1) \\spad{X} dasum(3,{}\\spad{dx},{}2)")) (|dcabs1| (((|DoubleFloat|) (|Complex| (|DoubleFloat|))) "\\indented{1}{\\spad{dcabs1}(\\spad{z}) computes (+ (abs (realpart \\spad{z})) (abs (imagpart \\spad{z})))} \\blankline \\spad{X} t1:Complex DoubleFloat \\spad{:=} complex(1.0,{}0) \\spad{X} dcabs(\\spad{t1})"))) 
 NIL 
@@ -410,7 +410,7 @@
 NIL 
 (-120 R S) 
 ((|constructor| (NIL "A \\spadtype{BiModule} is both a left and right module with respect to potentially different rings. \\blankline Axiom\\spad{\\br} \\tab{5}\\spad{ r*(x*s) = (r*x)*s }")) (|rightUnitary| ((|attribute|) "\\spad{x * 1 = x}")) (|leftUnitary| ((|attribute|) "\\spad{1 * x = x}"))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
 (-121) 
 ((|constructor| (NIL "\\spadtype{Boolean} is the elementary logic with 2 values: \\spad{true} and \\spad{false}")) (|test| (((|Boolean|) $) "\\spad{test(b)} returns \\spad{b} and is provided for compatibility with the new compiler.")) (|implies| (($ $ $) "\\spad{implies(a,{}b)} returns the logical implication of Boolean \\spad{a} and \\spad{b}.")) (|nor| (($ $ $) "\\spad{nor(a,{}b)} returns the logical negation of \\spad{a} or \\spad{b}.")) (|nand| (($ $ $) "\\spad{nand(a,{}b)} returns the logical negation of \\spad{a} and \\spad{b}.")) (|xor| (($ $ $) "\\spad{xor(a,{}b)} returns the logical exclusive or of Boolean \\spad{a} and \\spad{b}.")) (|or| (($ $ $) "\\spad{a or b} returns the logical inclusive or of Boolean \\spad{a} and \\spad{b}.")) (|and| (($ $ $) "\\spad{a and b} returns the logical and of Boolean \\spad{a} and \\spad{b}.")) (|not| (($ $) "\\spad{not n} returns the negation of \\spad{n}.")) (^ (($ $) "\\spad{^ n} returns the negation of \\spad{n}.")) (|false| (($) "\\spad{false} is a logical constant.")) (|true| (($) "\\spad{true} is a logical constant."))) 
@@ -419,4598 +419,4610 @@
 (-122 A) 
 ((|constructor| (NIL "This package exports functions to set some commonly used properties of operators,{} including properties which contain functions.")) (|constantOpIfCan| (((|Union| |#1| "failed") (|BasicOperator|)) "\\spad{constantOpIfCan(op)} returns \\spad{a} if \\spad{op} is the constant nullary operator always returning \\spad{a},{} \"failed\" otherwise.")) (|constantOperator| (((|BasicOperator|) |#1|) "\\spad{constantOperator(a)} returns a nullary operator op such that \\spad{op()} always evaluate to \\spad{a}.")) (|derivative| (((|Union| (|List| (|Mapping| |#1| (|List| |#1|))) "failed") (|BasicOperator|)) "\\spad{derivative(op)} returns the value of the \"\\%diff\" property of \\spad{op} if it has one,{} and \"failed\" otherwise.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| |#1|)) "\\spad{derivative(op,{} foo)} attaches foo as the \"\\%diff\" property of \\spad{op}. If \\spad{op} has an \"\\%diff\" property \\spad{f},{} then applying a derivation \\spad{D} to \\spad{op}(a) returns \\spad{f(a) * D(a)}. Argument \\spad{op} must be unary.") (((|BasicOperator|) (|BasicOperator|) (|List| (|Mapping| |#1| (|List| |#1|)))) "\\spad{derivative(op,{} [foo1,{}...,{}foon])} attaches [\\spad{foo1},{}...,{}foon] as the \"\\%diff\" property of \\spad{op}. If \\spad{op} has an \"\\%diff\" property \\spad{[f1,{}...,{}fn]} then applying a derivation \\spad{D} to \\spad{op(a1,{}...,{}an)} returns \\spad{f1(a1,{}...,{}an) * D(a1) + ... + fn(a1,{}...,{}an) * D(an)}.")) (|evaluate| (((|Union| (|Mapping| |#1| (|List| |#1|)) "failed") (|BasicOperator|)) "\\spad{evaluate(op)} returns the value of the \"\\%eval\" property of \\spad{op} if it has one,{} and \"failed\" otherwise.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| |#1|)) "\\spad{evaluate(op,{} foo)} attaches foo as the \"\\%eval\" property of \\spad{op}. If \\spad{op} has an \"\\%eval\" property \\spad{f},{} then applying \\spad{op} to a returns the result of \\spad{f(a)}. Argument \\spad{op} must be unary.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| (|List| |#1|))) "\\spad{evaluate(op,{} foo)} attaches foo as the \"\\%eval\" property of \\spad{op}. If \\spad{op} has an \"\\%eval\" property \\spad{f},{} then applying \\spad{op} to \\spad{(a1,{}...,{}an)} returns the result of \\spad{f(a1,{}...,{}an)}.") (((|Union| |#1| "failed") (|BasicOperator|) (|List| |#1|)) "\\spad{evaluate(op,{} [a1,{}...,{}an])} checks if \\spad{op} has an \"\\%eval\" property \\spad{f}. If it has,{} then \\spad{f(a1,{}...,{}an)} is returned,{} and \"failed\" otherwise."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-842)))) 
+((|HasCategory| |#1| (QUOTE (-843)))) 
 (-123) 
 ((|constructor| (NIL "Basic system operators. A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op,{} l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If \\spad{op1} and \\spad{op2} have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If \\spad{op1} and \\spad{op2} have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1} and \\spad{op2} should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|arity| (((|Union| (|NonNegativeInteger|) "failed") $) "\\spad{arity(op)} returns \\spad{n} if \\spad{op} is \\spad{n}-ary,{} and \"failed\" if \\spad{op} has arbitrary arity.")) (|operator| (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}.")) (|name| (((|Symbol|) $) "\\spad{name(op)} returns the name of \\spad{op}."))) 
 NIL 
 NIL 
-(-124 -1478 UP) 
+(-124 -1564 UP) 
 ((|constructor| (NIL "\\spadtype{BoundIntegerRoots} provides functions to find lower bounds on the integer roots of a polynomial.")) (|integerBound| (((|Integer|) |#2|) "\\spad{integerBound(p)} returns a lower bound on the negative integer roots of \\spad{p},{} and 0 if \\spad{p} has no negative integer roots."))) 
 NIL 
 NIL 
 (-125 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Zp:} \\spad{p}-adic numbers are represented as sum(\\spad{i} = 0..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
 (-126 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-125 |#1|) (QUOTE (-904))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-125 |#1|) (QUOTE (-148))) (|HasCategory| (-125 |#1|) (QUOTE (-150))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-125 |#1|) (QUOTE (-1021))) (|HasCategory| (-125 |#1|) (QUOTE (-815))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-125 |#1|) (QUOTE (-1136))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| (-125 |#1|) (QUOTE (-225))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -523) (QUOTE (-1161)) (LIST (QUOTE -125) (|devaluate| |#1|)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -303) (LIST (QUOTE -125) (|devaluate| |#1|)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -281) (LIST (QUOTE -125) (|devaluate| |#1|)) (LIST (QUOTE -125) (|devaluate| |#1|)))) (|HasCategory| (-125 |#1|) (QUOTE (-301))) (|HasCategory| (-125 |#1|) (QUOTE (-550))) (|HasCategory| (-125 |#1|) (QUOTE (-842))) (-2199 (|HasCategory| (-125 |#1|) (QUOTE (-815))) (|HasCategory| (-125 |#1|) (QUOTE (-842)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-125 |#1|) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-125 |#1|) (QUOTE (-904)))) (|HasCategory| (-125 |#1|) (QUOTE (-148))))) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-125 |#1|) (QUOTE (-905))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-125 |#1|) (QUOTE (-149))) (|HasCategory| (-125 |#1|) (QUOTE (-151))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-125 |#1|) (QUOTE (-1022))) (|HasCategory| (-125 |#1|) (QUOTE (-816))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-125 |#1|) (QUOTE (-1137))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| (-125 |#1|) (QUOTE (-226))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -524) (QUOTE (-1163)) (LIST (QUOTE -125) (|devaluate| |#1|)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -304) (LIST (QUOTE -125) (|devaluate| |#1|)))) (|HasCategory| (-125 |#1|) (LIST (QUOTE -282) (LIST (QUOTE -125) (|devaluate| |#1|)) (LIST (QUOTE -125) (|devaluate| |#1|)))) (|HasCategory| (-125 |#1|) (QUOTE (-302))) (|HasCategory| (-125 |#1|) (QUOTE (-551))) (|HasCategory| (-125 |#1|) (QUOTE (-843))) (-2232 (|HasCategory| (-125 |#1|) (QUOTE (-816))) (|HasCategory| (-125 |#1|) (QUOTE (-843)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-125 |#1|) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-125 |#1|) (QUOTE (-905)))) (|HasCategory| (-125 |#1|) (QUOTE (-149))))) 
 (-127 A S) 
 ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,{}x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,{}b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,{}\"right\",{}b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,{}\"left\",{}b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,{}\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,{}\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4522))) 
+((|HasAttribute| |#1| (QUOTE -4536))) 
 (-128 S) 
 ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,{}x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,{}b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,{}\"right\",{}b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,{}\"left\",{}b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,{}\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,{}\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
 (-129 UP) 
 ((|constructor| (NIL "This package has no description")) (|noLinearFactor?| (((|Boolean|) |#1|) "\\spad{noLinearFactor?(p)} returns \\spad{true} if \\spad{p} can be shown to have no linear factor by a theorem of Lehmer,{} \\spad{false} else. \\spad{I} insist on the fact that \\spad{false} does not mean that \\spad{p} has a linear factor.")) (|brillhartTrials| (((|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{brillhartTrials(n)} sets to \\spad{n} the number of tests in \\spadfun{brillhartIrreducible?} and returns the previous value.") (((|NonNegativeInteger|)) "\\spad{brillhartTrials()} returns the number of tests in \\spadfun{brillhartIrreducible?}.")) (|brillhartIrreducible?| (((|Boolean|) |#1| (|Boolean|)) "\\spad{brillhartIrreducible?(p,{}noLinears)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by a remark of Brillhart,{} \\spad{false} else. If \\spad{noLinears} is \\spad{true},{} we are being told \\spad{p} has no linear factors \\spad{false} does not mean that \\spad{p} is reducible.") (((|Boolean|) |#1|) "\\spad{brillhartIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by a remark of Brillhart,{} \\spad{false} is inconclusive."))) 
 NIL 
 NIL 
-(-130 S) 
-((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\indented{1}{split(\\spad{x},{}\\spad{b}) splits binary tree \\spad{b} into two trees,{} one with elements} \\indented{1}{greater than \\spad{x},{} the other with elements less than \\spad{x}.} \\blankline \\spad{X} t1:=binarySearchTree [1,{}2,{}3,{}4] \\spad{X} split(3,{}\\spad{t1})")) (|insertRoot!| (($ |#1| $) "\\indented{1}{insertRoot!(\\spad{x},{}\\spad{b}) inserts element \\spad{x} as a root of binary search tree \\spad{b}.} \\blankline \\spad{X} t1:=binarySearchTree [1,{}2,{}3,{}4] \\spad{X} insertRoot!(5,{}\\spad{t1})")) (|insert!| (($ |#1| $) "\\indented{1}{insert!(\\spad{x},{}\\spad{b}) inserts element \\spad{x} as leaves into binary search tree \\spad{b}.} \\blankline \\spad{X} t1:=binarySearchTree [1,{}2,{}3,{}4] \\spad{X} insert!(5,{}\\spad{t1})")) (|binarySearchTree| (($ (|List| |#1|)) "\\indented{1}{binarySearchTree(\\spad{l}) is not documented} \\blankline \\spad{X} binarySearchTree [1,{}2,{}3,{}4]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
+(-130) 
+((|constructor| (NIL "Based on Symbol: a domain of symbols representing basic stochastic differentials,{} used in StochasticDifferential(\\spad{R}) in the underlying sparse multivariate polynomial representation. \\blankline We create new \\spad{BSD} only by coercion from Symbol using a special function introduce! first of all to add to a private set SDset. We allow a separate function convertIfCan which will check whether the argument has previously been declared as a \\spad{BSD}.")) (|getSmgl| (((|Union| (|Symbol|) "failed") $) "\\indented{1}{getSmgl(\\spad{bsd}) returns the semimartingale \\axiom{\\spad{S}} related} \\indented{1}{to the basic stochastic differential \\axiom{\\spad{bsd}} by} \\indented{1}{\\axiom{introduce!}} \\blankline \\spad{X} introduce!(\\spad{t},{}\\spad{dt}) \\spad{--} \\spad{dt} is a new stochastic differential \\spad{X} getSmgl(dt::BSD)")) (|copyIto| (((|Table| (|Symbol|) $)) "\\indented{1}{copyIto() returns the table relating semimartingales} \\indented{1}{to basic stochastic differentials.} \\blankline \\spad{X} introduce!(\\spad{t},{}\\spad{dt}) \\spad{--} \\spad{dt} is a new stochastic differential \\spad{X} copyIto()")) (|copyBSD| (((|List| $)) "\\indented{1}{copyBSD() returns \\axiom{setBSD} as a list of \\axiom{\\spad{BSD}}.} \\blankline \\spad{X} introduce!(\\spad{t},{}\\spad{dt}) \\spad{--} \\spad{dt} is a new stochastic differential \\spad{X} copyBSD()")) (|d| (((|Union| $ (|Integer|)) (|Symbol|)) "\\spad{d(X)} returns \\axiom{\\spad{dX}} if \\axiom{tableIto(\\spad{X})\\spad{=dX}} and otherwise returns \\axiom{0}")) (|introduce!| (((|Union| $ "failed") (|Symbol|) (|Symbol|)) "\\indented{1}{introduce!(\\spad{X},{}\\spad{dX}) returns \\axiom{\\spad{dX}} as \\axiom{\\spad{BSD}} if it} \\indented{1}{isn\\spad{'t} already in \\axiom{\\spad{BSD}}} \\blankline \\spad{X} introduce!(\\spad{t},{}\\spad{dt}) \\spad{--} \\spad{dt} is a new stochastic differential \\spad{X} copyBSD()")) (|convert| (($ (|Symbol|)) "\\spad{convert(dX)} transforms \\axiom{\\spad{dX}} into a \\axiom{\\spad{BSD}} if possible and otherwise produces an error.")) (|convertIfCan| (((|Union| $ "failed") (|Symbol|)) "\\spad{convertIfCan(ds)} transforms \\axiom{\\spad{dX}} into a \\axiom{\\spad{BSD}} if possible (if \\axiom{introduce(\\spad{X},{}\\spad{dX})} has been invoked previously)."))) 
+NIL 
+NIL 
 (-131 S) 
+((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\indented{1}{split(\\spad{x},{}\\spad{b}) splits binary tree \\spad{b} into two trees,{} one with elements} \\indented{1}{greater than \\spad{x},{} the other with elements less than \\spad{x}.} \\blankline \\spad{X} t1:=binarySearchTree [1,{}2,{}3,{}4] \\spad{X} split(3,{}\\spad{t1})")) (|insertRoot!| (($ |#1| $) "\\indented{1}{insertRoot!(\\spad{x},{}\\spad{b}) inserts element \\spad{x} as a root of binary search tree \\spad{b}.} \\blankline \\spad{X} t1:=binarySearchTree [1,{}2,{}3,{}4] \\spad{X} insertRoot!(5,{}\\spad{t1})")) (|insert!| (($ |#1| $) "\\indented{1}{insert!(\\spad{x},{}\\spad{b}) inserts element \\spad{x} as leaves into binary search tree \\spad{b}.} \\blankline \\spad{X} t1:=binarySearchTree [1,{}2,{}3,{}4] \\spad{X} insert!(5,{}\\spad{t1})")) (|binarySearchTree| (($ (|List| |#1|)) "\\indented{1}{binarySearchTree(\\spad{l}) is not documented} \\blankline \\spad{X} binarySearchTree [1,{}2,{}3,{}4]"))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-132 S) 
 ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,{}b)} returns the logical exclusive-or of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|or| (($ $ $) "\\spad{a or b} returns the logical or of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|and| (($ $ $) "\\spad{a and b} returns the logical and of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,{}b)} returns the logical nor of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,{}b)} returns the logical nand of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (^ (($ $) "\\spad{^ b} returns the logical not of bit aggregate \\axiom{\\spad{b}}.")) (|not| (($ $) "\\spad{not(b)} returns the logical not of bit aggregate \\axiom{\\spad{b}}."))) 
 NIL 
 NIL 
-(-132) 
+(-133) 
 ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,{}b)} returns the logical exclusive-or of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|or| (($ $ $) "\\spad{a or b} returns the logical or of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|and| (($ $ $) "\\spad{a and b} returns the logical and of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,{}b)} returns the logical nor of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,{}b)} returns the logical nand of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (^ (($ $) "\\spad{^ b} returns the logical not of bit aggregate \\axiom{\\spad{b}}.")) (|not| (($ $) "\\spad{not(b)} returns the logical not of bit aggregate \\axiom{\\spad{b}}."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-133 A S) 
+(-134 A S) 
 ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#2| $) "\\spad{node(left,{}v,{}right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}. \\blankline")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) 
 NIL 
 NIL 
-(-134 S) 
+(-135 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#1| $) "\\spad{node(left,{}v,{}right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}. \\blankline")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-135 S) 
-((|constructor| (NIL "BinaryTournament creates a binary tournament with the elements of \\spad{ls} as values at the nodes.")) (|insert!| (($ |#1| $) "\\indented{1}{insert!(\\spad{x},{}\\spad{b}) inserts element \\spad{x} as leaves into binary tournament \\spad{b}.} \\blankline \\spad{X} t1:=binaryTournament [1,{}2,{}3,{}4] \\spad{X} insert!(5,{}\\spad{t1}) \\spad{X} \\spad{t1}")) (|binaryTournament| (($ (|List| |#1|)) "\\indented{1}{binaryTournament(\\spad{ls}) creates a binary tournament with the} \\indented{1}{elements of \\spad{ls} as values at the nodes.} \\blankline \\spad{X} binaryTournament [1,{}2,{}3,{}4]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
 (-136 S) 
+((|constructor| (NIL "BinaryTournament creates a binary tournament with the elements of \\spad{ls} as values at the nodes.")) (|insert!| (($ |#1| $) "\\indented{1}{insert!(\\spad{x},{}\\spad{b}) inserts element \\spad{x} as leaves into binary tournament \\spad{b}.} \\blankline \\spad{X} t1:=binaryTournament [1,{}2,{}3,{}4] \\spad{X} insert!(5,{}\\spad{t1}) \\spad{X} \\spad{t1}")) (|binaryTournament| (($ (|List| |#1|)) "\\indented{1}{binaryTournament(\\spad{ls}) creates a binary tournament with the} \\indented{1}{elements of \\spad{ls} as values at the nodes.} \\blankline \\spad{X} binaryTournament [1,{}2,{}3,{}4]"))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-137 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTree(S)} is the domain of all binary trees. A binary tree over \\spad{S} is either empty or has a \\spadfun{value} which is an \\spad{S} and a \\spadfun{right} and \\spadfun{left} which are both binary trees.")) (|binaryTree| (($ $ |#1| $) "\\indented{1}{binaryTree(\\spad{l},{}\\spad{v},{}\\spad{r}) creates a binary tree with} \\indented{1}{value \\spad{v} with left subtree \\spad{l} and right subtree \\spad{r}.} \\blankline \\spad{X} t1:=binaryTree([1,{}2,{}3]) \\spad{X} t2:=binaryTree([4,{}5,{}6]) \\spad{X} binaryTree(\\spad{t1},{}[7,{}8,{}9],{}\\spad{t2})") (($ |#1|) "\\indented{1}{binaryTree(\\spad{v}) is an non-empty binary tree} \\indented{1}{with value \\spad{v},{} and left and right empty.} \\blankline \\spad{X} t1:=binaryTree([1,{}2,{}3])"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-137) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-138) 
 ((|constructor| (NIL "This is an \\spadtype{AbelianMonoid} with the cancellation property,{} \\spadignore{i.e.} \\tab{5}\\spad{ a+b = a+c => b=c }.\\spad{\\br} This is formalised by the partial subtraction operator,{} which satisfies the Axioms\\spad{\\br} \\tab{5}\\spad{c = a+b <=> c-b = a}")) (|subtractIfCan| (((|Union| $ "failed") $ $) "\\spad{subtractIfCan(x,{} y)} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists."))) 
 NIL 
 NIL 
-(-138) 
+(-139) 
 ((|constructor| (NIL "A cachable set is a set whose elements keep an integer as part of their structure.")) (|setPosition| (((|Void|) $ (|NonNegativeInteger|)) "\\spad{setPosition(x,{} n)} associates the integer \\spad{n} to \\spad{x}.")) (|position| (((|NonNegativeInteger|) $) "\\spad{position(x)} returns the integer \\spad{n} associated to \\spad{x}."))) 
 NIL 
 NIL 
-(-139) 
+(-140) 
 ((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then\\spad{\\br} \\tab{5}\\spad{x+y = \\#(X+Y)} \\tab{5}disjoint union\\spad{\\br} \\tab{5}\\spad{x-y = \\#(X-Y)} \\tab{5}relative complement\\spad{\\br} \\tab{5}\\spad{x*y = \\#(X*Y)} \\tab{5}cartesian product\\spad{\\br} \\tab{5}\\spad{x**y = \\#(X**Y)} \\tab{4}\\spad{X**Y = g| g:Y->X} \\blankline The non-negative integers have a natural construction as cardinals\\spad{\\br} \\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0,{} 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}. \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\spad{\\br} \\spad{2**Aleph i = Aleph(i+1)} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are\\spad{\\br} \\tab{5}\\spad{a = \\#Z} \\tab{5}countable infinity\\spad{\\br} \\tab{5}\\spad{c = \\#R} \\tab{5}the continuum\\spad{\\br} \\tab{5}\\spad{f = \\# g | g:[0,{}1]->R\\} \\blankline In this domain,{} these values are obtained using\\br \\tab{5}\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\indented{1}{generalizedContinuumHypothesisAssumed(bool)} \\indented{1}{is used to dictate whether the hypothesis is to be assumed.} \\blankline \\spad{X} generalizedContinuumHypothesisAssumed \\spad{true} \\spad{X} a:=Aleph 0 \\spad{X} c:=2**a \\spad{X} f:=2**c")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\indented{1}{generalizedContinuumHypothesisAssumed?()} \\indented{1}{tests if the hypothesis is currently assumed.} \\blankline \\spad{X} generalizedContinuumHypothesisAssumed?")) (|countable?| (((|Boolean|) $) "\\indented{1}{countable?(\\spad{a}) determines} \\indented{1}{whether \\spad{a} is a countable cardinal,{}} \\indented{1}{\\spadignore{i.e.} an integer or \\spad{Aleph 0}.} \\blankline \\spad{X} c2:=2::CardinalNumber \\spad{X} countable? \\spad{c2} \\spad{X} A0:=Aleph 0 \\spad{X} countable? \\spad{A0} \\spad{X} A1:=Aleph 1 \\spad{X} countable? \\spad{A1}")) (|finite?| (((|Boolean|) $) "\\indented{1}{finite?(\\spad{a}) determines whether} \\indented{1}{\\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.} \\blankline \\spad{X} c2:=2::CardinalNumber \\spad{X} finite? \\spad{c2} \\spad{X} A0:=Aleph 0 \\spad{X} finite? \\spad{A0}")) (|Aleph| (($ (|NonNegativeInteger|)) "\\indented{1}{Aleph(\\spad{n}) provides the named (infinite) cardinal number.} \\blankline \\spad{X} A0:=Aleph 0")) (** (($ $ $) "\\indented{1}{\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined} \\indented{2}{as \\spad{\\{g| g:Y->X\\}}.} \\blankline \\spad{X} c2:=2::CardinalNumber \\spad{X} \\spad{c2**c2} \\spad{X} A1:=Aleph 1 \\spad{X} \\spad{A1**c2} \\spad{X} generalizedContinuumHypothesisAssumed \\spad{true} \\spad{X} \\spad{A1**A1}")) (- (((|Union| $ "failed") $ $) "\\indented{1}{\\spad{x - y} returns an element \\spad{z} such that} \\indented{1}{\\spad{z+y=x} or \"failed\" if no such element exists.} \\blankline \\spad{X} c2:=2::CardinalNumber \\spad{X} \\spad{c2}-\\spad{c2} \\spad{X} A1:=Aleph 1 \\spad{X} \\spad{A1}-\\spad{c2}")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,{}D) -> D} which is commutative."))) 
-(((-4523 "*") . T)) 
+(((-4537 "*") . T)) 
 NIL 
-(-140 |minix| -1965 S T$) 
+(-141 |minix| -4391 S T$) 
 ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,{}ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,{}ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) 
 NIL 
 NIL 
-(-141 |minix| -1965 R) 
+(-142 |minix| -4391 R) 
 ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\indented{1}{ravel(\\spad{t}) produces a list of components from a tensor such that} \\indented{3}{\\spad{unravel(ravel(t)) = t}.} \\blankline \\spad{X} n:SquareMatrix(2,{}Integer):=matrix [[2,{}3],{}[0,{}1]] \\spad{X} tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=n} \\spad{X} ravel \\spad{tn}")) (|leviCivitaSymbol| (($) "\\indented{1}{leviCivitaSymbol() is the rank \\spad{dim} tensor defined by} \\indented{1}{\\spad{leviCivitaSymbol()(i1,{}...idim) = +1/0/-1}} \\indented{1}{if \\spad{i1,{}...,{}idim} is an even/is nota /is an odd permutation} \\indented{1}{of \\spad{minix,{}...,{}minix+dim-1}.} \\blankline \\spad{X} lcs:CartesianTensor(1,{}2,{}Integer):=leviCivitaSymbol()")) (|kroneckerDelta| (($) "\\indented{1}{kroneckerDelta() is the rank 2 tensor defined by} \\indented{4}{\\spad{kroneckerDelta()(i,{}j)}} \\indented{7}{\\spad{= 1\\space{2}if i = j}} \\indented{7}{\\spad{= 0 if\\space{2}i \\^= j}} \\blankline \\spad{X} delta:CartesianTensor(1,{}2,{}Integer):=kroneckerDelta()")) (|reindex| (($ $ (|List| (|Integer|))) "\\indented{1}{reindex(\\spad{t},{}[\\spad{i1},{}...,{}idim]) permutes the indices of \\spad{t}.} \\indented{1}{For example,{} if \\spad{r = reindex(t,{} [4,{}1,{}2,{}3])}} \\indented{1}{for a rank 4 tensor \\spad{t},{}} \\indented{1}{then \\spad{r} is the rank for tensor given by} \\indented{5}{\\spad{r(i,{}j,{}k,{}l) = t(l,{}i,{}j,{}k)}.} \\blankline \\spad{X} n:SquareMatrix(2,{}Integer):=matrix [[2,{}3],{}[0,{}1]] \\spad{X} tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=n} \\spad{X} p:=product(\\spad{tn},{}\\spad{tn}) \\spad{X} reindex(\\spad{p},{}[4,{}3,{}2,{}1])")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\indented{1}{transpose(\\spad{t},{}\\spad{i},{}\\spad{j}) exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th} \\indented{1}{indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,{}2,{}3)}} \\indented{1}{for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor} \\indented{1}{given by} \\indented{5}{\\spad{r(i,{}j,{}k,{}l) = t(i,{}k,{}j,{}l)}.} \\blankline \\spad{X} m:SquareMatrix(2,{}Integer):=matrix [[1,{}2],{}[4,{}5]] \\spad{X} tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=m} \\spad{X} tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tm},{}\\spad{tm}] \\spad{X} transpose(\\spad{tn},{}1,{}2)") (($ $) "\\indented{1}{transpose(\\spad{t}) exchanges the first and last indices of \\spad{t}.} \\indented{1}{For example,{} if \\spad{r = transpose(t)} for a rank 4} \\indented{1}{tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by} \\indented{5}{\\spad{r(i,{}j,{}k,{}l) = t(l,{}j,{}k,{}i)}.} \\blankline \\spad{X} m:SquareMatrix(2,{}Integer):=matrix [[1,{}2],{}[4,{}5]] \\spad{X} Tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=m} \\spad{X} transpose(\\spad{Tm})")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\indented{1}{contract(\\spad{t},{}\\spad{i},{}\\spad{j}) is the contraction of tensor \\spad{t} which} \\indented{1}{sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices.} \\indented{1}{For example,{}\\space{2}if} \\indented{1}{\\spad{r = contract(t,{}1,{}3)} for a rank 4 tensor \\spad{t},{} then} \\indented{1}{\\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by} \\indented{5}{\\spad{r(i,{}j) = sum(h=1..dim,{}t(h,{}i,{}h,{}j))}.} \\blankline \\spad{X} m:SquareMatrix(2,{}Integer):=matrix [[1,{}2],{}[4,{}5]] \\spad{X} Tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=m} \\spad{X} v:DirectProduct(2,{}Integer):=directProduct [3,{}4] \\spad{X} Tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} Tmv:=contract(\\spad{Tm},{}2,{}1)") (($ $ (|Integer|) $ (|Integer|)) "\\indented{1}{contract(\\spad{t},{}\\spad{i},{}\\spad{s},{}\\spad{j}) is the inner product of tenors \\spad{s} and \\spad{t}} \\indented{1}{which sums along the \\spad{k1}\\spad{-}th index of} \\indented{1}{\\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}.} \\indented{1}{For example,{} if \\spad{r = contract(s,{}2,{}t,{}1)} for rank 3 tensors} \\indented{1}{rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is} \\indented{1}{the rank 4 \\spad{(= 3 + 3 - 2)} tensor\\space{2}given by} \\indented{5}{\\spad{r(i,{}j,{}k,{}l) = sum(h=1..dim,{}s(i,{}h,{}j)*t(h,{}k,{}l))}.} \\blankline \\spad{X} m:SquareMatrix(2,{}Integer):=matrix [[1,{}2],{}[4,{}5]] \\spad{X} Tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=m} \\spad{X} v:DirectProduct(2,{}Integer):=directProduct [3,{}4] \\spad{X} Tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} Tmv:=contract(\\spad{Tm},{}2,{}\\spad{Tv},{}1)")) (* (($ $ $) "\\indented{1}{\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts} \\indented{1}{the last index of \\spad{s} with the first index of \\spad{t},{} that is,{}} \\indented{5}{\\spad{t*s = contract(t,{}rank t,{} s,{} 1)}} \\indented{5}{\\spad{t*s = sum(k=1..N,{} t[i1,{}..,{}iN,{}k]*s[k,{}j1,{}..,{}jM])}} \\indented{1}{This is compatible with the use of \\spad{M*v} to denote} \\indented{1}{the matrix-vector inner product.} \\blankline \\spad{X} m:SquareMatrix(2,{}Integer):=matrix [[1,{}2],{}[4,{}5]] \\spad{X} Tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=m} \\spad{X} v:DirectProduct(2,{}Integer):=directProduct [3,{}4] \\spad{X} Tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} Tm*Tv")) (|product| (($ $ $) "\\indented{1}{product(\\spad{s},{}\\spad{t}) is the outer product of the tensors \\spad{s} and \\spad{t}.} \\indented{1}{For example,{} if \\spad{r = product(s,{}t)} for rank 2 tensors} \\indented{1}{\\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by} \\indented{5}{\\spad{r(i,{}j,{}k,{}l) = s(i,{}j)*t(k,{}l)}.} \\blankline \\spad{X} m:SquareMatrix(2,{}Integer):=matrix [[1,{}2],{}[4,{}5]] \\spad{X} Tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=m} \\spad{X} n:SquareMatrix(2,{}Integer):=matrix [[2,{}3],{}[0,{}1]] \\spad{X} Tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=n} \\spad{X} Tmn:=product(\\spad{Tm},{}\\spad{Tn})")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\indented{1}{elt(\\spad{t},{}[\\spad{i1},{}...,{}iN]) gives a component of a rank \\spad{N} tensor.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tv},{}\\spad{tv}] \\spad{X} tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tm},{}\\spad{tm}] \\spad{X} tp:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tn},{}\\spad{tn}] \\spad{X} tq:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tp},{}\\spad{tp}] \\spad{X} elt(\\spad{tq},{}[2,{}2,{}2,{}2,{}2])") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\indented{1}{elt(\\spad{t},{}\\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{l}) gives a component of a rank 4 tensor.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tv},{}\\spad{tv}] \\spad{X} tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tm},{}\\spad{tm}] \\spad{X} tp:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tn},{}\\spad{tn}] \\spad{X} elt(\\spad{tp},{}2,{}2,{}2,{}2) \\spad{X} \\spad{tp}[2,{}2,{}2,{}2]") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\indented{1}{elt(\\spad{t},{}\\spad{i},{}\\spad{j},{}\\spad{k}) gives a component of a rank 3 tensor.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tv},{}\\spad{tv}] \\spad{X} tn:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tm},{}\\spad{tm}] \\spad{X} elt(\\spad{tn},{}2,{}2,{}2) \\spad{X} \\spad{tn}[2,{}2,{}2]") ((|#3| $ (|Integer|) (|Integer|)) "\\indented{1}{elt(\\spad{t},{}\\spad{i},{}\\spad{j}) gives a component of a rank 2 tensor.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tv},{}\\spad{tv}] \\spad{X} elt(\\spad{tm},{}2,{}2) \\spad{X} \\spad{tm}[2,{}2]") ((|#3| $ (|Integer|)) "\\indented{1}{elt(\\spad{t},{}\\spad{i}) gives a component of a rank 1 tensor.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} elt(\\spad{tv},{}2) \\spad{X} \\spad{tv}[2]") ((|#3| $) "\\indented{1}{elt(\\spad{t}) gives the component of a rank 0 tensor.} \\blankline \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=8} \\spad{X} elt(\\spad{tv}) \\spad{X} \\spad{tv}[]")) (|rank| (((|NonNegativeInteger|) $) "\\indented{1}{rank(\\spad{t}) returns the tensorial rank of \\spad{t} (that is,{} the} \\indented{1}{number of indices).\\space{2}This is the same as the graded module} \\indented{1}{degree.} \\blankline \\spad{X} CT:=CARTEN(1,{}2,{}Integer) \\spad{X} \\spad{t0:CT:=8} \\spad{X} rank \\spad{t0}")) (|coerce| (($ (|List| $)) "\\indented{1}{coerce([\\spad{t_1},{}...,{}t_dim]) allows tensors to be constructed} \\indented{1}{using lists.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v} \\spad{X} tm:CartesianTensor(1,{}2,{}Integer)\\spad{:=}[\\spad{tv},{}\\spad{tv}]") (($ (|List| |#3|)) "\\indented{1}{coerce([\\spad{r_1},{}...,{}r_dim]) allows tensors to be constructed} \\indented{1}{using lists.} \\blankline \\spad{X} \\spad{v:=}[2,{}3] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v}") (($ (|SquareMatrix| |#2| |#3|)) "\\indented{1}{coerce(\\spad{m}) views a matrix as a rank 2 tensor.} \\blankline \\spad{X} v:SquareMatrix(2,{}Integer)\\spad{:=}[[1,{}2],{}[3,{}4]] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v}") (($ (|DirectProduct| |#2| |#3|)) "\\indented{1}{coerce(\\spad{v}) views a vector as a rank 1 tensor.} \\blankline \\spad{X} v:DirectProduct(2,{}Integer):=directProduct [3,{}4] \\spad{X} tv:CartesianTensor(1,{}2,{}Integer)\\spad{:=v}"))) 
 NIL 
 NIL 
-(-142) 
+(-143) 
 ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which alphanumeric? is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which alphabetic? is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which lowerCase? is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which upperCase? is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which hexDigit? is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which digit? is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) 
-((-4521 . T) (-4511 . T) (-4522 . T)) 
-((|HasCategory| (-147) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-147) (QUOTE (-370))) (|HasCategory| (-147) (QUOTE (-842))) (|HasCategory| (-147) (QUOTE (-1090))) (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-370)))) (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-1090)))))) 
-(-143 R Q A) 
+((-4535 . T) (-4525 . T) (-4536 . T)) 
+((|HasCategory| (-148) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-148) (QUOTE (-371))) (|HasCategory| (-148) (QUOTE (-843))) (|HasCategory| (-148) (QUOTE (-1091))) (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-371)))) (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-1091)))))) 
+(-144 R Q A) 
 ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,{}...,{}qn])} returns \\spad{[[p1,{}...,{}pn],{} d]} such that \\spad{\\spad{qi} = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,{}...,{}qn])} returns \\spad{[p1,{}...,{}pn]} such that \\spad{\\spad{qi} = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,{}...,{}qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
 NIL 
-(-144) 
-((|constructor| (NIL "This is a low-level domain which implements matrices (two dimensional arrays) of complex double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|qnew| (($ (|Integer|) (|Integer|)) "\\indented{1}{qnew(\\spad{n},{} \\spad{m}) creates a new uninitialized \\spad{n} by \\spad{m} matrix.} \\blankline \\spad{X} t1:CDFMAT:=qnew(3,{}4)"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-169 (-215)) (QUOTE (-1090))) (-12 (|HasCategory| (-169 (-215)) (LIST (QUOTE -303) (LIST (QUOTE -169) (QUOTE (-215))))) (|HasCategory| (-169 (-215)) (QUOTE (-1090)))) (|HasCategory| (-169 (-215)) (QUOTE (-301))) (|HasCategory| (-169 (-215)) (QUOTE (-558))) (|HasAttribute| (-169 (-215)) (QUOTE (-4523 "*"))) (|HasCategory| (-169 (-215)) (QUOTE (-172))) (|HasCategory| (-169 (-215)) (QUOTE (-365)))) 
 (-145) 
-((|constructor| (NIL "This is a low-level domain which implements vectors (one dimensional arrays) of complex double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|vector| (($ (|List| (|Complex| (|DoubleFloat|)))) "\\indented{1}{vector(\\spad{l}) converts the list \\spad{l} to a vector.} \\blankline \\spad{X} t1:List(Complex(DoubleFloat))\\spad{:=}[1+2*\\%\\spad{i},{}3+4*\\%\\spad{i},{}\\spad{-5}-6*\\%\\spad{i}] \\spad{X} t2:CDFVEC:=vector(\\spad{t1})")) (|qnew| (($ (|Integer|)) "\\indented{1}{qnew(\\spad{n}) creates a new uninitialized vector of length \\spad{n}.} \\blankline \\spad{X} t1:CDFVEC:=qnew 7"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-169 (-215)) (QUOTE (-1090))) (|HasCategory| (-169 (-215)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-169 (-215)) (QUOTE (-842))) (-2199 (|HasCategory| (-169 (-215)) (QUOTE (-842))) (|HasCategory| (-169 (-215)) (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-169 (-215)) (QUOTE (-25))) (|HasCategory| (-169 (-215)) (QUOTE (-23))) (|HasCategory| (-169 (-215)) (QUOTE (-21))) (|HasCategory| (-169 (-215)) (QUOTE (-716))) (|HasCategory| (-169 (-215)) (QUOTE (-1047))) (-12 (|HasCategory| (-169 (-215)) (QUOTE (-1002))) (|HasCategory| (-169 (-215)) (QUOTE (-1047)))) (-12 (|HasCategory| (-169 (-215)) (LIST (QUOTE -303) (LIST (QUOTE -169) (QUOTE (-215))))) (|HasCategory| (-169 (-215)) (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| (-169 (-215)) (LIST (QUOTE -303) (LIST (QUOTE -169) (QUOTE (-215))))) (|HasCategory| (-169 (-215)) (QUOTE (-842)))) (-12 (|HasCategory| (-169 (-215)) (LIST (QUOTE -303) (LIST (QUOTE -169) (QUOTE (-215))))) (|HasCategory| (-169 (-215)) (QUOTE (-1090)))))) 
+((|constructor| (NIL "This is a low-level domain which implements matrices (two dimensional arrays) of complex double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|qnew| (($ (|Integer|) (|Integer|)) "\\indented{1}{qnew(\\spad{n},{} \\spad{m}) creates a new uninitialized \\spad{n} by \\spad{m} matrix.} \\blankline \\spad{X} t1:CDFMAT:=qnew(3,{}4)"))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-170 (-216)) (QUOTE (-1091))) (-12 (|HasCategory| (-170 (-216)) (LIST (QUOTE -304) (LIST (QUOTE -170) (QUOTE (-216))))) (|HasCategory| (-170 (-216)) (QUOTE (-1091)))) (|HasCategory| (-170 (-216)) (QUOTE (-302))) (|HasCategory| (-170 (-216)) (QUOTE (-559))) (|HasAttribute| (-170 (-216)) (QUOTE (-4537 "*"))) (|HasCategory| (-170 (-216)) (QUOTE (-173))) (|HasCategory| (-170 (-216)) (QUOTE (-366)))) 
 (-146) 
+((|constructor| (NIL "This is a low-level domain which implements vectors (one dimensional arrays) of complex double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|vector| (($ (|List| (|Complex| (|DoubleFloat|)))) "\\indented{1}{vector(\\spad{l}) converts the list \\spad{l} to a vector.} \\blankline \\spad{X} t1:List(Complex(DoubleFloat))\\spad{:=}[1+2*\\%\\spad{i},{}3+4*\\%\\spad{i},{}\\spad{-5}-6*\\%\\spad{i}] \\spad{X} t2:CDFVEC:=vector(\\spad{t1})")) (|qnew| (($ (|Integer|)) "\\indented{1}{qnew(\\spad{n}) creates a new uninitialized vector of length \\spad{n}.} \\blankline \\spad{X} t1:CDFVEC:=qnew 7"))) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-170 (-216)) (QUOTE (-1091))) (|HasCategory| (-170 (-216)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-170 (-216)) (QUOTE (-843))) (-2232 (|HasCategory| (-170 (-216)) (QUOTE (-843))) (|HasCategory| (-170 (-216)) (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-170 (-216)) (QUOTE (-25))) (|HasCategory| (-170 (-216)) (QUOTE (-23))) (|HasCategory| (-170 (-216)) (QUOTE (-21))) (|HasCategory| (-170 (-216)) (QUOTE (-717))) (|HasCategory| (-170 (-216)) (QUOTE (-1048))) (-12 (|HasCategory| (-170 (-216)) (QUOTE (-1003))) (|HasCategory| (-170 (-216)) (QUOTE (-1048)))) (-12 (|HasCategory| (-170 (-216)) (LIST (QUOTE -304) (LIST (QUOTE -170) (QUOTE (-216))))) (|HasCategory| (-170 (-216)) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-170 (-216)) (LIST (QUOTE -304) (LIST (QUOTE -170) (QUOTE (-216))))) (|HasCategory| (-170 (-216)) (QUOTE (-843)))) (-12 (|HasCategory| (-170 (-216)) (LIST (QUOTE -304) (LIST (QUOTE -170) (QUOTE (-216))))) (|HasCategory| (-170 (-216)) (QUOTE (-1091)))))) 
+(-147) 
 ((|constructor| (NIL "Category for the usual combinatorial functions.")) (|permutation| (($ $ $) "\\spad{permutation(n,{} m)} returns the number of permutations of \\spad{n} objects taken \\spad{m} at a time. Note that \\spad{permutation(n,{}m) = n!/(n-m)!}.")) (|factorial| (($ $) "\\spad{factorial(n)} computes the factorial of \\spad{n} (denoted in the literature by \\spad{n!}) Note that \\spad{n! = n (n-1)! when n > 0}; also,{} \\spad{0! = 1}.")) (|binomial| (($ $ $) "\\indented{1}{binomial(\\spad{n},{}\\spad{r}) returns the \\spad{(n,{}r)} binomial coefficient} \\indented{1}{(often denoted in the literature by \\spad{C(n,{}r)}).} \\indented{1}{Note that \\spad{C(n,{}r) = n!/(r!(n-r)!)} where \\spad{n >= r >= 0}.} \\blankline \\spad{X} [binomial(5,{}\\spad{i}) for \\spad{i} in 0..5]"))) 
 NIL 
 NIL 
-(-147) 
+(-148) 
 ((|constructor| (NIL "This domain provides the basic character data type.")) (|alphanumeric?| (((|Boolean|) $) "\\indented{1}{alphanumeric?(\\spad{c}) tests if \\spad{c} is either a letter or number,{}} \\indented{1}{\\spadignore{i.e.} one of 0..9,{} a..\\spad{z} or A..\\spad{Z}.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [alphanumeric? \\spad{c} for \\spad{c} in chars]")) (|lowerCase?| (((|Boolean|) $) "\\indented{1}{lowerCase?(\\spad{c}) tests if \\spad{c} is an lower case letter,{}} \\indented{1}{\\spadignore{i.e.} one of a..\\spad{z}.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [lowerCase? \\spad{c} for \\spad{c} in chars]")) (|upperCase?| (((|Boolean|) $) "\\indented{1}{upperCase?(\\spad{c}) tests if \\spad{c} is an upper case letter,{}} \\indented{1}{\\spadignore{i.e.} one of A..\\spad{Z}.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [upperCase? \\spad{c} for \\spad{c} in chars]")) (|alphabetic?| (((|Boolean|) $) "\\indented{1}{alphabetic?(\\spad{c}) tests if \\spad{c} is a letter,{}} \\indented{1}{\\spadignore{i.e.} one of a..\\spad{z} or A..\\spad{Z}.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [alphabetic? \\spad{c} for \\spad{c} in chars]")) (|hexDigit?| (((|Boolean|) $) "\\indented{1}{hexDigit?(\\spad{c}) tests if \\spad{c} is a hexadecimal numeral,{}} \\indented{1}{\\spadignore{i.e.} one of 0..9,{} a..\\spad{f} or A..\\spad{F}.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [hexDigit? \\spad{c} for \\spad{c} in chars]")) (|digit?| (((|Boolean|) $) "\\indented{1}{digit?(\\spad{c}) tests if \\spad{c} is a digit character,{}} \\indented{1}{\\spadignore{i.e.} one of 0..9.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [digit? \\spad{c} for \\spad{c} in chars]")) (|lowerCase| (($ $) "\\indented{1}{lowerCase(\\spad{c}) converts an upper case letter to the corresponding} \\indented{1}{lower case letter.\\space{2}If \\spad{c} is not an upper case letter,{} then} \\indented{1}{it is returned unchanged.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [lowerCase \\spad{c} for \\spad{c} in chars]")) (|upperCase| (($ $) "\\indented{1}{upperCase(\\spad{c}) converts a lower case letter to the corresponding} \\indented{1}{upper case letter.\\space{2}If \\spad{c} is not a lower case letter,{} then} \\indented{1}{it is returned unchanged.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [upperCase \\spad{c} for \\spad{c} in chars]")) (|escape| (($) "\\indented{1}{escape() provides the escape character,{} \\spad{_},{} which} \\indented{1}{is used to allow quotes and other characters within} \\indented{1}{strings.} \\blankline \\spad{X} escape()")) (|quote| (($) "\\indented{1}{quote() provides the string quote character,{} \\spad{\"}.} \\blankline \\spad{X} quote()")) (|space| (($) "\\indented{1}{space() provides the blank character.} \\blankline \\spad{X} space()")) (|char| (($ (|String|)) "\\indented{1}{char(\\spad{s}) provides a character from a string \\spad{s} of length one.} \\blankline \\spad{X} [char \\spad{c} for \\spad{c} in [\"a\",{}\"A\",{}\\spad{\"X\"},{}\\spad{\"8\"},{}\\spad{\"+\"}]]") (($ (|Integer|)) "\\indented{1}{char(\\spad{i}) provides a character corresponding to the integer} \\indented{1}{code \\spad{i}. It is always \\spad{true} that \\spad{ord char i = i}.} \\blankline \\spad{X} [char \\spad{c} for \\spad{c} in [97,{}65,{}88,{}56,{}43]]")) (|ord| (((|Integer|) $) "\\indented{1}{ord(\\spad{c}) provides an integral code corresponding to the} \\indented{1}{character \\spad{c}.\\space{2}It is always \\spad{true} that \\spad{char ord c = c}.} \\blankline \\spad{X} chars \\spad{:=} [char \"a\",{} char \"A\",{} char \\spad{\"X\"},{} char \\spad{\"8\"},{} char \\spad{\"+\"}] \\spad{X} [ord \\spad{c} for \\spad{c} in chars]"))) 
 NIL 
 NIL 
-(-148) 
+(-149) 
 ((|constructor| (NIL "Rings of Characteristic Non Zero")) (|charthRoot| (((|Union| $ "failed") $) "\\spad{charthRoot(x)} returns the \\spad{p}th root of \\spad{x} where \\spad{p} is the characteristic of the ring."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-149 R) 
+(-150 R) 
 ((|constructor| (NIL "This package provides a characteristicPolynomial function for any matrix over a commutative ring.")) (|characteristicPolynomial| ((|#1| (|Matrix| |#1|) |#1|) "\\spad{characteristicPolynomial(m,{}r)} computes the characteristic polynomial of the matrix \\spad{m} evaluated at the point \\spad{r}. In particular,{} if \\spad{r} is the polynomial \\spad{'x},{} then it returns the characteristic polynomial expressed as a polynomial in \\spad{'x}."))) 
 NIL 
 NIL 
-(-150) 
+(-151) 
 ((|constructor| (NIL "Rings of Characteristic Zero."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-151 -1478 UP UPUP) 
+(-152 -1564 UP UPUP) 
 ((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,{}y),{} p(x,{}y))} returns \\spad{[g(z,{}t),{} q(z,{}t),{} c1(z),{} c2(z),{} n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,{}y) = g(z,{}t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x,{} y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z,{} t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,{}y),{} f(x),{} g(x))} returns \\spad{p(f(x),{} y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p,{} q)} returns an integer a such that a is neither a pole of \\spad{p(x,{}y)} nor a branch point of \\spad{q(x,{}y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g,{} n)} returns \\spad{[m,{} c,{} P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x,{} y))} returns \\spad{[c(x),{} n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,{}y))} returns \\spad{[c(x),{} q(x,{}z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x,{} y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x,{} z) = 0}."))) 
 NIL 
 NIL 
-(-152 R CR) 
+(-153 R CR) 
 ((|constructor| (NIL "This package provides the generalized euclidean algorithm which is needed as the basic step for factoring polynomials.")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| |#2|)) "failed") (|List| (|SparseUnivariatePolynomial| |#2|)) (|SparseUnivariatePolynomial| |#2|)) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} where (\\spad{fi} relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g} = sum \\spad{ai} prod \\spad{fj} (\\spad{j} \\spad{\\=} \\spad{i}) or equivalently g/prod \\spad{fj} = sum (ai/fi) or returns \"failed\" if no such list exists"))) 
 NIL 
 NIL 
-(-153 A S) 
+(-154 A S) 
 ((|constructor| (NIL "A collection is a homogeneous aggregate which can built from list of members. The operation used to build the aggregate is generically named \\spadfun{construct}. However,{} each collection provides its own special function with the same name as the data type,{} except with an initial lower case letter,{} \\spadignore{e.g.} \\spadfun{list} for \\spadtype{List},{} \\spadfun{flexibleArray} for \\spadtype{FlexibleArray},{} and so on.")) (|removeDuplicates| (($ $) "\\spad{removeDuplicates(u)} returns a copy of \\spad{u} with all duplicates removed.")) (|select| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{select(p,{}u)} returns a copy of \\spad{u} containing only those elements such \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note that \\axiom{select(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})]}.")) (|remove| (($ |#2| $) "\\spad{remove(x,{}u)} returns a copy of \\spad{u} with all elements \\axiom{\\spad{y} = \\spad{x}} removed. Note that \\axiom{remove(\\spad{y},{}\\spad{c}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{c} | \\spad{x} \\spad{^=} \\spad{y}]}.") (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{remove(p,{}u)} returns a copy of \\spad{u} removing all elements \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note that \\axiom{remove(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | not \\spad{p}(\\spad{x})]}.")) (|reduce| ((|#2| (|Mapping| |#2| |#2| |#2|) $ |#2| |#2|) "\\spad{reduce(f,{}u,{}x,{}z)} reduces the binary operation \\spad{f} across \\spad{u},{} stopping when an \"absorbing element\" \\spad{z} is encountered. As for \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})},{} \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})} when \\spad{u} contains no element \\spad{z}. Thus the third argument \\spad{x} is returned when \\spad{u} is empty.") ((|#2| (|Mapping| |#2| |#2| |#2|) $ |#2|) "\\spad{reduce(f,{}u,{}x)} reduces the binary operation \\spad{f} across \\spad{u},{} where \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u})} if \\spad{u} has 2 or more elements. Returns \\axiom{\\spad{f}(\\spad{x},{}\\spad{y})} if \\spad{u} has one element \\spad{y},{} \\spad{x} if \\spad{u} is empty. For example,{} \\axiom{reduce(+,{}\\spad{u},{}0)} returns the sum of the elements of \\spad{u}.") ((|#2| (|Mapping| |#2| |#2| |#2|) $) "\\indented{1}{reduce(\\spad{f},{}\\spad{u}) reduces the binary operation \\spad{f} across \\spad{u}. For example,{}} \\indented{1}{if \\spad{u} is \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]} then \\axiom{reduce(\\spad{f},{}\\spad{u})}} \\indented{1}{returns \\axiom{\\spad{f}(..\\spad{f}(\\spad{f}(\\spad{x},{}\\spad{y}),{}...),{}\\spad{z})}.} \\indented{1}{Note that if \\spad{u} has one element \\spad{x},{} \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\spad{x}.} \\indented{1}{Error: if \\spad{u} is empty.} \\blankline \\spad{C} )clear all \\spad{X} reduce(+,{}[\\spad{C}[\\spad{i}]*x**i for \\spad{i} in 1..5])")) (|find| (((|Union| |#2| "failed") (|Mapping| (|Boolean|) |#2|) $) "\\spad{find(p,{}u)} returns the first \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \"failed\" otherwise.")) (|construct| (($ (|List| |#2|)) "\\axiom{construct(\\spad{x},{}\\spad{y},{}...,{}\\spad{z})} returns the collection of elements \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}} ordered as given. Equivalently written as \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]\\$\\spad{D}},{} where \\spad{D} is the domain. \\spad{D} may be omitted for those of type List."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-1090))) (|HasAttribute| |#1| (QUOTE -4521))) 
-(-154 S) 
+((|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-1091))) (|HasAttribute| |#1| (QUOTE -4535))) 
+(-155 S) 
 ((|constructor| (NIL "A collection is a homogeneous aggregate which can built from list of members. The operation used to build the aggregate is generically named \\spadfun{construct}. However,{} each collection provides its own special function with the same name as the data type,{} except with an initial lower case letter,{} \\spadignore{e.g.} \\spadfun{list} for \\spadtype{List},{} \\spadfun{flexibleArray} for \\spadtype{FlexibleArray},{} and so on.")) (|removeDuplicates| (($ $) "\\spad{removeDuplicates(u)} returns a copy of \\spad{u} with all duplicates removed.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(p,{}u)} returns a copy of \\spad{u} containing only those elements such \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note that \\axiom{select(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})]}.")) (|remove| (($ |#1| $) "\\spad{remove(x,{}u)} returns a copy of \\spad{u} with all elements \\axiom{\\spad{y} = \\spad{x}} removed. Note that \\axiom{remove(\\spad{y},{}\\spad{c}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{c} | \\spad{x} \\spad{^=} \\spad{y}]}.") (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove(p,{}u)} returns a copy of \\spad{u} removing all elements \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note that \\axiom{remove(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | not \\spad{p}(\\spad{x})]}.")) (|reduce| ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1| |#1|) "\\spad{reduce(f,{}u,{}x,{}z)} reduces the binary operation \\spad{f} across \\spad{u},{} stopping when an \"absorbing element\" \\spad{z} is encountered. As for \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})},{} \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})} when \\spad{u} contains no element \\spad{z}. Thus the third argument \\spad{x} is returned when \\spad{u} is empty.") ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1|) "\\spad{reduce(f,{}u,{}x)} reduces the binary operation \\spad{f} across \\spad{u},{} where \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u})} if \\spad{u} has 2 or more elements. Returns \\axiom{\\spad{f}(\\spad{x},{}\\spad{y})} if \\spad{u} has one element \\spad{y},{} \\spad{x} if \\spad{u} is empty. For example,{} \\axiom{reduce(+,{}\\spad{u},{}0)} returns the sum of the elements of \\spad{u}.") ((|#1| (|Mapping| |#1| |#1| |#1|) $) "\\indented{1}{reduce(\\spad{f},{}\\spad{u}) reduces the binary operation \\spad{f} across \\spad{u}. For example,{}} \\indented{1}{if \\spad{u} is \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]} then \\axiom{reduce(\\spad{f},{}\\spad{u})}} \\indented{1}{returns \\axiom{\\spad{f}(..\\spad{f}(\\spad{f}(\\spad{x},{}\\spad{y}),{}...),{}\\spad{z})}.} \\indented{1}{Note that if \\spad{u} has one element \\spad{x},{} \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\spad{x}.} \\indented{1}{Error: if \\spad{u} is empty.} \\blankline \\spad{C} )clear all \\spad{X} reduce(+,{}[\\spad{C}[\\spad{i}]*x**i for \\spad{i} in 1..5])")) (|find| (((|Union| |#1| "failed") (|Mapping| (|Boolean|) |#1|) $) "\\spad{find(p,{}u)} returns the first \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \"failed\" otherwise.")) (|construct| (($ (|List| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y},{}...,{}\\spad{z})} returns the collection of elements \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}} ordered as given. Equivalently written as \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]\\$\\spad{D}},{} where \\spad{D} is the domain. \\spad{D} may be omitted for those of type List."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-155 |n| K Q) 
+(-156 |n| K Q) 
 ((|constructor| (NIL "CliffordAlgebra(\\spad{n},{} \\spad{K},{} \\spad{Q}) defines a vector space of dimension \\spad{2**n} over \\spad{K},{} given a quadratic form \\spad{Q} on \\spad{K**n}. \\blankline If \\spad{e[i]},{} \\spad{1<=i<=n} is a basis for \\spad{K**n} then 1,{} \\spad{e[i]} (\\spad{1<=i<=n}),{} \\spad{e[i1]*e[i2]} (\\spad{1<=i1= r >= 0}.} \\indented{1}{This is the number of combinations of \\spad{n} objects taken \\spad{r} at a time.} \\blankline \\spad{X} [binomial(5,{}\\spad{i}) for \\spad{i} in 0..5]"))) 
 NIL 
 NIL 
-(-161) 
+(-162) 
 ((|constructor| (NIL "CombinatorialOpsCategory is the category obtaining by adjoining summations and products to the usual combinatorial operations.")) (|product| (($ $ (|SegmentBinding| $)) "\\spad{product(f(n),{} n = a..b)} returns \\spad{f}(a) * ... * \\spad{f}(\\spad{b}) as a formal product.") (($ $ (|Symbol|)) "\\spad{product(f(n),{} n)} returns the formal product \\spad{P}(\\spad{n}) which verifies \\spad{P}(\\spad{n+1})\\spad{/P}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|summation| (($ $ (|SegmentBinding| $)) "\\spad{summation(f(n),{} n = a..b)} returns \\spad{f}(a) + ... + \\spad{f}(\\spad{b}) as a formal sum.") (($ $ (|Symbol|)) "\\spad{summation(f(n),{} n)} returns the formal sum \\spad{S}(\\spad{n}) which verifies \\spad{S}(\\spad{n+1}) - \\spad{S}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|factorials| (($ $ (|Symbol|)) "\\spad{factorials(f,{} x)} rewrites the permutations and binomials in \\spad{f} involving \\spad{x} in terms of factorials.") (($ $) "\\spad{factorials(f)} rewrites the permutations and binomials in \\spad{f} in terms of factorials."))) 
 NIL 
 NIL 
-(-162) 
+(-163) 
 ((|constructor| (NIL "A type for basic commutators")) (|mkcomm| (($ $ $) "\\spad{mkcomm(i,{}j)} is not documented") (($ (|Integer|)) "\\spad{mkcomm(i)} is not documented"))) 
 NIL 
 NIL 
-(-163) 
+(-164) 
 ((|constructor| (NIL "This package exports the elementary operators,{} with some semantics already attached to them. The semantics that is attached here is not dependent on the set in which the operators will be applied.")) (|operator| (((|BasicOperator|) (|Symbol|)) "\\spad{operator(s)} returns an operator with name \\spad{s},{} with the appropriate semantics if \\spad{s} is known. If \\spad{s} is not known,{} the result has no semantics."))) 
 NIL 
 NIL 
-(-164 R UP UPUP) 
+(-165 R UP UPUP) 
 ((|constructor| (NIL "A package for swapping the order of two variables in a tower of two UnivariatePolynomialCategory extensions.")) (|swap| ((|#3| |#3|) "\\spad{swap(p(x,{}y))} returns \\spad{p}(\\spad{y},{}\\spad{x})."))) 
 NIL 
 NIL 
-(-165 S R) 
+(-166 S R) 
 ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#2|) (|:| |phi| |#2|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#2| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(x,{} r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#2| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#2| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#2| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#2| |#2|) "\\spad{complex(x,{}y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) 
 NIL 
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-(-166 R) 
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+(-167 R) 
 ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x,{} r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,{}y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) 
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 NIL 
-(-167 RR PR) 
+(-168 RR PR) 
 ((|constructor| (NIL "This package has no description")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) 
 NIL 
 NIL 
-(-168 R S) 
+(-169 R S) 
 ((|constructor| (NIL "This package extends maps from underlying rings to maps between complex over those rings.")) (|map| (((|Complex| |#2|) (|Mapping| |#2| |#1|) (|Complex| |#1|)) "\\spad{map(f,{}u)} maps \\spad{f} onto real and imaginary parts of \\spad{u}."))) 
 NIL 
 NIL 
-(-169 R) 
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 ((|constructor| (NIL "\\spadtype{Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) 
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-(-170 R S CS) 
+((-4528 -2232 (|has| |#1| (-559)) (-12 (|has| |#1| (-302)) (|has| |#1| (-905)))) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4531 |has| |#1| (-6 -4531)) (-4534 |has| |#1| (-6 -4534)) (-2997 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
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-888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -282) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-824))) (|HasCategory| |#1| (QUOTE (-1057))) (-12 (|HasCategory| |#1| (QUOTE (-1057))) (|HasCategory| |#1| (QUOTE (-1183)))) (|HasCategory| |#1| (QUOTE (-551))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-366)))) (|HasCategory| |#1| (QUOTE (-302))) (-2232 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-559)))) (-2232 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-351)))) (|HasCategory| |#1| (QUOTE (-905))) 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(QUOTE (-351)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-351)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-351)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-351)))) (-12 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-351)))) (-12 (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-351)))) (|HasCategory| |#1| (QUOTE (-226))) (-12 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-351)))) (-12 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-351)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-371)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-559)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-824)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-1022)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-1183))))) (-12 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-366))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-905))))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-905))))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-366)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasAttribute| |#1| (QUOTE -4531)) (|HasAttribute| |#1| (QUOTE -4534)) (-12 (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (QUOTE (-366)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-366)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-351))))) 
+(-171 R S CS) 
 ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) 
 NIL 
 NIL 
-(-171) 
+(-172) 
 ((|constructor| (NIL "This domain implements some global properties of subspaces.")) (|copy| (($ $) "\\spad{copy(x)} is not documented")) (|solid| (((|Boolean|) $ (|Boolean|)) "\\spad{solid(x,{}b)} is not documented")) (|close| (((|Boolean|) $ (|Boolean|)) "\\spad{close(x,{}b)} is not documented")) (|solid?| (((|Boolean|) $) "\\spad{solid?(x)} is not documented")) (|closed?| (((|Boolean|) $) "\\spad{closed?(x)} is not documented")) (|new| (($) "\\spad{new()} is not documented"))) 
 NIL 
 NIL 
-(-172) 
+(-173) 
 ((|constructor| (NIL "The category of commutative rings with unity,{} \\spadignore{i.e.} rings where \\spadop{*} is commutative,{} and which have a multiplicative identity element.")) (|commutative| ((|attribute| "*") "multiplication is commutative."))) 
-(((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-173 R) 
+(-174 R) 
 ((|constructor| (NIL "\\spadtype{ContinuedFraction} implements general continued fractions. This version is not restricted to simple,{} finite fractions and uses the \\spadtype{Stream} as a representation. The arithmetic functions assume that the approximants alternate below/above the convergence point. This is enforced by ensuring the partial numerators and partial denominators are greater than 0 in the Euclidean domain view of \\spad{R} (\\spadignore{i.e.} \\spad{sizeLess?(0,{} x)}).")) (|complete| (($ $) "\\spad{complete(x)} causes all entries in \\spadvar{\\spad{x}} to be computed. Normally entries are only computed as needed. If \\spadvar{\\spad{x}} is an infinite continued fraction,{} a user-initiated interrupt is necessary to stop the computation.")) (|extend| (($ $ (|Integer|)) "\\spad{extend(x,{}n)} causes the first \\spadvar{\\spad{n}} entries in the continued fraction \\spadvar{\\spad{x}} to be computed. Normally entries are only computed as needed.")) (|denominators| (((|Stream| |#1|) $) "\\spad{denominators(x)} returns the stream of denominators of the approximants of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be finite.")) (|numerators| (((|Stream| |#1|) $) "\\spad{numerators(x)} returns the stream of numerators of the approximants of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be finite.")) (|convergents| (((|Stream| (|Fraction| |#1|)) $) "\\spad{convergents(x)} returns the stream of the convergents of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be finite.")) (|approximants| (((|Stream| (|Fraction| |#1|)) $) "\\spad{approximants(x)} returns the stream of approximants of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be infinite and periodic with period 1.")) (|reducedForm| (($ $) "\\spad{reducedForm(x)} puts the continued fraction \\spadvar{\\spad{x}} in reduced form,{} \\spadignore{i.e.} the function returns an equivalent continued fraction of the form \\spad{continuedFraction(b0,{}[1,{}1,{}1,{}...],{}[b1,{}b2,{}b3,{}...])}.")) (|wholePart| ((|#1| $) "\\spad{wholePart(x)} extracts the whole part of \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0,{} [a1,{}a2,{}a3,{}...],{} [b1,{}b2,{}b3,{}...])},{} then \\spad{wholePart(x) = b0}.")) (|partialQuotients| (((|Stream| |#1|) $) "\\spad{partialQuotients(x)} extracts the partial quotients in \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0,{} [a1,{}a2,{}a3,{}...],{} [b1,{}b2,{}b3,{}...])},{} then \\spad{partialQuotients(x) = [b0,{}b1,{}b2,{}b3,{}...]}.")) (|partialDenominators| (((|Stream| |#1|) $) "\\spad{partialDenominators(x)} extracts the denominators in \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0,{} [a1,{}a2,{}a3,{}...],{} [b1,{}b2,{}b3,{}...])},{} then \\spad{partialDenominators(x) = [b1,{}b2,{}b3,{}...]}.")) (|partialNumerators| (((|Stream| |#1|) $) "\\spad{partialNumerators(x)} extracts the numerators in \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0,{} [a1,{}a2,{}a3,{}...],{} [b1,{}b2,{}b3,{}...])},{} then \\spad{partialNumerators(x) = [a1,{}a2,{}a3,{}...]}.")) (|reducedContinuedFraction| (($ |#1| (|Stream| |#1|)) "\\spad{reducedContinuedFraction(b0,{}b)} constructs a continued fraction in the following way: if \\spad{b = [b1,{}b2,{}...]} then the result is the continued fraction \\spad{b0 + 1/(b1 + 1/(b2 + ...))}. That is,{} the result is the same as \\spad{continuedFraction(b0,{}[1,{}1,{}1,{}...],{}[b1,{}b2,{}b3,{}...])}.")) (|continuedFraction| (($ |#1| (|Stream| |#1|) (|Stream| |#1|)) "\\spad{continuedFraction(b0,{}a,{}b)} constructs a continued fraction in the following way: if \\spad{a = [a1,{}a2,{}...]} and \\spad{b = [b1,{}b2,{}...]} then the result is the continued fraction \\spad{b0 + a1/(b1 + a2/(b2 + ...))}.") (($ (|Fraction| |#1|)) "\\spad{continuedFraction(r)} converts the fraction \\spadvar{\\spad{r}} with components of type \\spad{R} to a continued fraction over \\spad{R}."))) 
-(((-4523 "*") . T) (-4514 . T) (-4519 . T) (-4513 . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") . T) (-4528 . T) (-4533 . T) (-4527 . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-174 R) 
+(-175 R) 
 ((|constructor| (NIL "CoordinateSystems provides coordinate transformation functions for plotting. Functions in this package return conversion functions which take points expressed in other coordinate systems and return points with the corresponding Cartesian coordinates.")) (|conical| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1| |#1|) "\\spad{conical(a,{}b)} transforms from conical coordinates to Cartesian coordinates: \\spad{conical(a,{}b)} is a function which will map the point \\spad{(lambda,{}mu,{}nu)} to \\spad{x = lambda*mu*nu/(a*b)},{} \\spad{y = lambda/a*sqrt((mu**2-a**2)*(nu**2-a**2)/(a**2-b**2))},{} \\spad{z = lambda/b*sqrt((mu**2-b**2)*(nu**2-b**2)/(b**2-a**2))}.")) (|toroidal| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{toroidal(a)} transforms from toroidal coordinates to Cartesian coordinates: \\spad{toroidal(a)} is a function which will map the point \\spad{(u,{}v,{}phi)} to \\spad{x = a*sinh(v)*cos(phi)/(cosh(v)-cos(u))},{} \\spad{y = a*sinh(v)*sin(phi)/(cosh(v)-cos(u))},{} \\spad{z = a*sin(u)/(cosh(v)-cos(u))}.")) (|bipolarCylindrical| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{bipolarCylindrical(a)} transforms from bipolar cylindrical coordinates to Cartesian coordinates: \\spad{bipolarCylindrical(a)} is a function which will map the point \\spad{(u,{}v,{}z)} to \\spad{x = a*sinh(v)/(cosh(v)-cos(u))},{} \\spad{y = a*sin(u)/(cosh(v)-cos(u))},{} \\spad{z}.")) (|bipolar| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{bipolar(a)} transforms from bipolar coordinates to Cartesian coordinates: \\spad{bipolar(a)} is a function which will map the point \\spad{(u,{}v)} to \\spad{x = a*sinh(v)/(cosh(v)-cos(u))},{} \\spad{y = a*sin(u)/(cosh(v)-cos(u))}.")) (|oblateSpheroidal| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{oblateSpheroidal(a)} transforms from oblate spheroidal coordinates to Cartesian coordinates: \\spad{oblateSpheroidal(a)} is a function which will map the point \\spad{(\\spad{xi},{}eta,{}phi)} to \\spad{x = a*sinh(\\spad{xi})*sin(eta)*cos(phi)},{} \\spad{y = a*sinh(\\spad{xi})*sin(eta)*sin(phi)},{} \\spad{z = a*cosh(\\spad{xi})*cos(eta)}.")) (|prolateSpheroidal| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{prolateSpheroidal(a)} transforms from prolate spheroidal coordinates to Cartesian coordinates: \\spad{prolateSpheroidal(a)} is a function which will map the point \\spad{(\\spad{xi},{}eta,{}phi)} to \\spad{x = a*sinh(\\spad{xi})*sin(eta)*cos(phi)},{} \\spad{y = a*sinh(\\spad{xi})*sin(eta)*sin(phi)},{} \\spad{z = a*cosh(\\spad{xi})*cos(eta)}.")) (|ellipticCylindrical| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{ellipticCylindrical(a)} transforms from elliptic cylindrical coordinates to Cartesian coordinates: \\spad{ellipticCylindrical(a)} is a function which will map the point \\spad{(u,{}v,{}z)} to \\spad{x = a*cosh(u)*cos(v)},{} \\spad{y = a*sinh(u)*sin(v)},{} \\spad{z}.")) (|elliptic| (((|Mapping| (|Point| |#1|) (|Point| |#1|)) |#1|) "\\spad{elliptic(a)} transforms from elliptic coordinates to Cartesian coordinates: \\spad{elliptic(a)} is a function which will map the point \\spad{(u,{}v)} to \\spad{x = a*cosh(u)*cos(v)},{} \\spad{y = a*sinh(u)*sin(v)}.")) (|paraboloidal| (((|Point| |#1|) (|Point| |#1|)) "\\spad{paraboloidal(pt)} transforms \\spad{pt} from paraboloidal coordinates to Cartesian coordinates: the function produced will map the point \\spad{(u,{}v,{}phi)} to \\spad{x = u*v*cos(phi)},{} \\spad{y = u*v*sin(phi)},{} \\spad{z = 1/2 * (u**2 - v**2)}.")) (|parabolicCylindrical| (((|Point| |#1|) (|Point| |#1|)) "\\spad{parabolicCylindrical(pt)} transforms \\spad{pt} from parabolic cylindrical coordinates to Cartesian coordinates: the function produced will map the point \\spad{(u,{}v,{}z)} to \\spad{x = 1/2*(u**2 - v**2)},{} \\spad{y = u*v},{} \\spad{z}.")) (|parabolic| (((|Point| |#1|) (|Point| |#1|)) "\\spad{parabolic(pt)} transforms \\spad{pt} from parabolic coordinates to Cartesian coordinates: the function produced will map the point \\spad{(u,{}v)} to \\spad{x = 1/2*(u**2 - v**2)},{} \\spad{y = u*v}.")) (|spherical| (((|Point| |#1|) (|Point| |#1|)) "\\spad{spherical(pt)} transforms \\spad{pt} from spherical coordinates to Cartesian coordinates: the function produced will map the point \\spad{(r,{}theta,{}phi)} to \\spad{x = r*sin(phi)*cos(theta)},{} \\spad{y = r*sin(phi)*sin(theta)},{} \\spad{z = r*cos(phi)}.")) (|cylindrical| (((|Point| |#1|) (|Point| |#1|)) "\\spad{cylindrical(pt)} transforms \\spad{pt} from polar coordinates to Cartesian coordinates: the function produced will map the point \\spad{(r,{}theta,{}z)} to \\spad{x = r * cos(theta)},{} \\spad{y = r * sin(theta)},{} \\spad{z}.")) (|polar| (((|Point| |#1|) (|Point| |#1|)) "\\spad{polar(pt)} transforms \\spad{pt} from polar coordinates to Cartesian coordinates: the function produced will map the point \\spad{(r,{}theta)} to \\spad{x = r * cos(theta)} ,{} \\spad{y = r * sin(theta)}.")) (|cartesian| (((|Point| |#1|) (|Point| |#1|)) "\\spad{cartesian(pt)} returns the Cartesian coordinates of point \\spad{pt}."))) 
 NIL 
 NIL 
-(-175 R |PolR| E) 
+(-176 R |PolR| E) 
 ((|constructor| (NIL "This package implements characteristicPolynomials for monogenic algebras using resultants")) (|characteristicPolynomial| ((|#2| |#3|) "\\spad{characteristicPolynomial(e)} returns the characteristic polynomial of \\spad{e} using resultants"))) 
 NIL 
 NIL 
-(-176 R S CS) 
+(-177 R S CS) 
 ((|constructor| (NIL "This package supports matching patterns involving complex expressions")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(cexpr,{} pat,{} res)} matches the pattern \\spad{pat} to the complex expression \\spad{cexpr}. res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
-((|HasCategory| (-953 |#2|) (LIST (QUOTE -881) (|devaluate| |#1|)))) 
-(-177 R) 
+((|HasCategory| (-954 |#2|) (LIST (QUOTE -882) (|devaluate| |#1|)))) 
+(-178 R) 
 ((|constructor| (NIL "This package has no documentation")) (|multiEuclideanTree| (((|List| |#1|) (|List| |#1|) |#1|) "\\spad{multiEuclideanTree(l,{}r)} \\undocumented{}")) (|chineseRemainder| (((|List| |#1|) (|List| (|List| |#1|)) (|List| |#1|)) "\\spad{chineseRemainder(llv,{}lm)} returns a list of values,{} each of which corresponds to the Chinese remainder of the associated element of \\axiom{\\spad{llv}} and axiom{\\spad{lm}}. This is more efficient than applying chineseRemainder several times.") ((|#1| (|List| |#1|) (|List| |#1|)) "\\spad{chineseRemainder(lv,{}lm)} returns a value \\axiom{\\spad{v}} such that,{} if \\spad{x} is \\axiom{\\spad{lv}.\\spad{i}} modulo \\axiom{\\spad{lm}.\\spad{i}} for all \\axiom{\\spad{i}},{} then \\spad{x} is \\axiom{\\spad{v}} modulo \\axiom{\\spad{lm}(1)\\spad{*lm}(2)*...\\spad{*lm}(\\spad{n})}.")) (|modTree| (((|List| |#1|) |#1| (|List| |#1|)) "\\spad{modTree(r,{}l)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-178 R UP) 
+(-179 R UP) 
 ((|constructor| (NIL "\\spadtype{ComplexRootFindingPackage} provides functions to find all roots of a polynomial \\spad{p} over the complex number by using Plesken\\spad{'s} idea to calculate in the polynomial ring modulo \\spad{f} and employing the Chinese Remainder Theorem. In this first version,{} the precision (see digits) is not increased when this is necessary to avoid rounding errors. Hence it is the user\\spad{'s} responsibility to increase the precision if necessary. Note also,{} if this package is called with \\spadignore{e.g.} \\spadtype{Fraction Integer},{} the precise calculations could require a lot of time. Also note that evaluating the zeros is not necessarily a good check whether the result is correct: already evaluation can cause rounding errors.")) (|startPolynomial| (((|Record| (|:| |start| |#2|) (|:| |factors| (|Factored| |#2|))) |#2|) "\\spad{startPolynomial(p)} uses the ideas of Schoenhage\\spad{'s} variant of Graeffe\\spad{'s} method to construct circles which separate roots to get a good start polynomial,{} \\spadignore{i.e.} one whose image under the Chinese Remainder Isomorphism has both entries of norm smaller and greater or equal to 1. In case the roots are found during internal calculations. The corresponding factors are in factors which are otherwise 1.")) (|setErrorBound| ((|#1| |#1|) "\\spad{setErrorBound(eps)} changes the internal error bound,{} by default being 10 \\spad{**} (\\spad{-3}) to \\spad{eps},{} if \\spad{R} is a member in the category \\spadtype{QuotientFieldCategory Integer}. The internal globalDigits is set to \\em ceiling(1/r)\\spad{**2*10} being 10**7 by default.")) (|schwerpunkt| (((|Complex| |#1|) |#2|) "\\spad{schwerpunkt(p)} determines the 'Schwerpunkt' of the roots of the polynomial \\spad{p} of degree \\spad{n},{} \\spadignore{i.e.} the center of gravity,{} which is coeffient of \\spad{x**(n-1)} divided by \\spad{n} times coefficient of \\spad{x**n}.")) (|rootRadius| ((|#1| |#2|) "\\spad{rootRadius(p)} calculates the root radius of \\spad{p} with a maximal error quotient of 1+globalEps,{} where globalEps is the internal error bound,{} which can be set by setErrorBound.") ((|#1| |#2| |#1|) "\\spad{rootRadius(p,{}errQuot)} calculates the root radius of \\spad{p} with a maximal error quotient of \\spad{errQuot}.")) (|reciprocalPolynomial| ((|#2| |#2|) "\\spad{reciprocalPolynomial(p)} calulates a polynomial which has exactly the inverses of the non-zero roots of \\spad{p} as roots,{} and the same number of 0-roots.")) (|pleskenSplit| (((|Factored| |#2|) |#2| |#1|) "\\spad{pleskenSplit(poly,{} eps)} determines a start polynomial start by using \"startPolynomial then it increases the exponent \\spad{n} of start \\spad{**} \\spad{n} mod \\spad{poly} to get an approximate factor of \\spad{poly},{} in general of degree \"degree \\spad{poly} \\spad{-1\"}. Then a divisor cascade is calculated and the best splitting is chosen,{} as soon as the error is small enough.") (((|Factored| |#2|) |#2| |#1| (|Boolean|)) "\\spad{pleskenSplit(poly,{}eps,{}info)} determines a start polynomial start by using \"startPolynomial then it increases the exponent \\spad{n} of start \\spad{**} \\spad{n} mod \\spad{poly} to get an approximate factor of \\spad{poly},{} in general of degree \"degree \\spad{poly} \\spad{-1\"}. Then a divisor cascade is calculated and the best splitting is chosen,{} as soon as the error is small enough. If \\spad{info} is \\spad{true},{} then information messages are issued.")) (|norm| ((|#1| |#2|) "\\spad{norm(p)} determines sum of absolute values of coefficients Note that this function depends on abs.")) (|graeffe| ((|#2| |#2|) "\\spad{graeffe p} determines \\spad{q} such that \\spad{q(-z**2) = p(z)*p(-z)}. Note that the roots of \\spad{q} are the squares of the roots of \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} tries to factor \\spad{p} into linear factors with error atmost globalEps,{} the internal error bound,{} which can be set by setErrorBound. An overall error bound \\spad{eps0} is determined and iterated tree-like calls to pleskenSplit are used to get the factorization.") (((|Factored| |#2|) |#2| |#1|) "\\spad{factor(p,{} eps)} tries to factor \\spad{p} into linear factors with error atmost eps. An overall error bound \\spad{eps0} is determined and iterated tree-like calls to pleskenSplit are used to get the factorization.") (((|Factored| |#2|) |#2| |#1| (|Boolean|)) "\\spad{factor(p,{} eps,{} info)} tries to factor \\spad{p} into linear factors with error atmost \\spad{eps}. An overall error bound \\spad{eps0} is determined and iterated tree-like calls to pleskenSplit are used to get the factorization. If info is \\spad{true},{} then information messages are given.")) (|divisorCascade| (((|List| (|Record| (|:| |factors| (|List| |#2|)) (|:| |error| |#1|))) |#2| |#2|) "\\spad{divisorCascade(p,{}tp)} assumes that degree of polynomial \\spad{tp} is smaller than degree of polynomial \\spad{p},{} both monic. A sequence of divisions is calculated using the remainder,{} made monic,{} as divisor for the the next division. The result contains also the error of the factorizations,{} \\spadignore{i.e.} the norm of the remainder polynomial.") (((|List| (|Record| (|:| |factors| (|List| |#2|)) (|:| |error| |#1|))) |#2| |#2| (|Boolean|)) "\\spad{divisorCascade(p,{}tp)} assumes that degree of polynomial \\spad{tp} is smaller than degree of polynomial \\spad{p},{} both monic. A sequence of divisions are calculated using the remainder,{} made monic,{} as divisor for the the next division. The result contains also the error of the factorizations,{} \\spadignore{i.e.} the norm of the remainder polynomial. If info is \\spad{true},{} then information messages are issued.")) (|complexZeros| (((|List| (|Complex| |#1|)) |#2| |#1|) "\\spad{complexZeros(p,{} eps)} tries to determine all complex zeros of the polynomial \\spad{p} with accuracy given by eps.") (((|List| (|Complex| |#1|)) |#2|) "\\spad{complexZeros(p)} tries to determine all complex zeros of the polynomial \\spad{p} with accuracy given by the package constant globalEps which you may change by setErrorBound."))) 
 NIL 
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-(-179 S ST) 
+(-180 S ST) 
 ((|constructor| (NIL "This package provides tools for working with cyclic streams.")) (|computeCycleEntry| ((|#2| |#2| |#2|) "\\indented{1}{computeCycleEntry(\\spad{x},{}cycElt),{} where cycElt is a pointer to a} \\indented{1}{node in the cyclic part of the cyclic stream \\spad{x},{} returns a} \\indented{1}{pointer to the first node in the cycle} \\blankline \\spad{X} p:=repeating([1,{}2,{}3]) \\spad{X} q:=cons(4,{}\\spad{p}) \\spad{X} computeCycleEntry(\\spad{q},{}cycleElt(\\spad{q}))")) (|computeCycleLength| (((|NonNegativeInteger|) |#2|) "\\indented{1}{computeCycleLength(\\spad{s}) returns the length of the cycle of a} \\indented{1}{cyclic stream \\spad{t},{} where \\spad{s} is a pointer to a node in the} \\indented{1}{cyclic part of \\spad{t}.} \\blankline \\spad{X} p:=repeating([1,{}2,{}3]) \\spad{X} q:=cons(4,{}\\spad{p}) \\spad{X} computeCycleLength(cycleElt(\\spad{q}))")) (|cycleElt| (((|Union| |#2| "failed") |#2|) "\\indented{1}{cycleElt(\\spad{s}) returns a pointer to a node in the cycle if the stream} \\indented{1}{\\spad{s} is cyclic and returns \"failed\" if \\spad{s} is not cyclic} \\blankline \\spad{X} p:=repeating([1,{}2,{}3]) \\spad{X} q:=cons(4,{}\\spad{p}) \\spad{X} cycleElt \\spad{q} \\spad{X} \\spad{r:=}[1,{}2,{}3]::Stream(Integer) \\spad{X} cycleElt \\spad{r}"))) 
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-(-180 R -1478) 
+(-181 R -1564) 
 ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f,{} imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f,{} x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f,{} x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
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-(-181 R) 
+(-182 R) 
 ((|constructor| (NIL "CoerceVectorMatrixPackage is an unexposed,{} technical package for data conversions")) (|coerce| (((|Vector| (|Matrix| (|Fraction| (|Polynomial| |#1|)))) (|Vector| (|Matrix| |#1|))) "\\spad{coerce(v)} coerces a vector \\spad{v} with entries in \\spadtype{Matrix R} as vector over \\spadtype{Matrix Fraction Polynomial R}")) (|coerceP| (((|Vector| (|Matrix| (|Polynomial| |#1|))) (|Vector| (|Matrix| |#1|))) "\\spad{coerceP(v)} coerces a vector \\spad{v} with entries in \\spadtype{Matrix R} as vector over \\spadtype{Matrix Polynomial R}"))) 
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-(-182) 
+(-183) 
 ((|constructor| (NIL "Polya-Redfield enumeration by cycle indices.")) (|skewSFunction| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{skewSFunction(li1,{}li2)} is the \\spad{S}-function \\indented{1}{of the partition difference \\spad{li1 - li2}} \\indented{1}{expressed in terms of power sum symmetric functions.}")) (|SFunction| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|List| (|Integer|))) "\\spad{SFunction(\\spad{li})} is the \\spad{S}-function of the partition \\spad{\\spad{li}} \\indented{1}{expressed in terms of power sum symmetric functions.}")) (|wreath| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|SymmetricPolynomial| (|Fraction| (|Integer|))) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{wreath(s1,{}s2)} is the cycle index of the wreath product \\indented{1}{of the two groups whose cycle indices are \\spad{s1} and} \\indented{1}{\\spad{s2}.}")) (|eval| (((|Fraction| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval s} is the sum of the coefficients of a cycle index.")) (|cup| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|SymmetricPolynomial| (|Fraction| (|Integer|))) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{cup(s1,{}s2)},{} introduced by Redfield,{} \\indented{1}{is the scalar product of two cycle indices,{} in which the} \\indented{1}{power sums are retained to produce a cycle index.}")) (|cap| (((|Fraction| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|))) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{cap(s1,{}s2)},{} introduced by Redfield,{} \\indented{1}{is the scalar product of two cycle indices.}")) (|graphs| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{graphs n} is the cycle index of the group induced on \\indented{1}{the edges of a graph by applying the symmetric function to the} \\indented{1}{\\spad{n} nodes.}")) (|dihedral| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{dihedral n} is the cycle index of the \\indented{1}{dihedral group of degree \\spad{n}.}")) (|cyclic| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{cyclic n} is the cycle index of the \\indented{1}{cyclic group of degree \\spad{n}.}")) (|alternating| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{alternating n} is the cycle index of the \\indented{1}{alternating group of degree \\spad{n}.}")) (|elementary| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{elementary n} is the \\spad{n} th elementary symmetric \\indented{1}{function expressed in terms of power sums.}")) (|powerSum| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{powerSum n} is the \\spad{n} th power sum symmetric \\indented{1}{function.}")) (|complete| (((|SymmetricPolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{complete n} is the \\spad{n} th complete homogeneous \\indented{1}{symmetric function expressed in terms of power sums.} \\indented{1}{Alternatively it is the cycle index of the symmetric} \\indented{1}{group of degree \\spad{n}.}"))) 
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-(-183) 
+(-184) 
 ((|constructor| (NIL "This package has no description")) (|cyclotomicFactorization| (((|Factored| (|SparseUnivariatePolynomial| (|Integer|))) (|Integer|)) "\\spad{cyclotomicFactorization(n)} \\undocumented{}")) (|cyclotomic| (((|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{cyclotomic(n)} \\undocumented{}")) (|cyclotomicDecomposition| (((|List| (|SparseUnivariatePolynomial| (|Integer|))) (|Integer|)) "\\spad{cyclotomicDecomposition(n)} \\undocumented{}"))) 
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-(-184) 
+(-185) 
 ((|constructor| (NIL "\\axiomType{d01AgentsPackage} is a package of numerical agents to be used to investigate attributes of an input function so as to decide the \\axiomFun{measure} of an appropriate numerical integration routine. It contains functions \\axiomFun{rangeIsFinite} to test the input range and \\axiomFun{functionIsContinuousAtEndPoints} to check for continuity at the end points of the range.")) (|changeName| (((|Result|) (|Symbol|) (|Symbol|) (|Result|)) "\\spad{changeName(s,{}t,{}r)} changes the name of item \\axiom{\\spad{s}} in \\axiom{\\spad{r}} to \\axiom{\\spad{t}}.")) (|commaSeparate| (((|String|) (|List| (|String|))) "\\spad{commaSeparate(l)} produces a comma separated string from a list of strings.")) (|sdf2lst| (((|List| (|String|)) (|Stream| (|DoubleFloat|))) "\\spad{sdf2lst(ln)} coerces a Stream of \\axiomType{DoubleFloat} to \\axiomType{List String}")) (|ldf2lst| (((|List| (|String|)) (|List| (|DoubleFloat|))) "\\spad{ldf2lst(ln)} coerces a List of \\axiomType{DoubleFloat} to \\axiomType{List String}")) (|df2st| (((|String|) (|DoubleFloat|)) "\\spad{df2st(n)} coerces a \\axiomType{DoubleFloat} to \\axiomType{String}")) (|singularitiesOf| (((|Stream| (|DoubleFloat|)) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{singularitiesOf(args)} returns a list of potential singularities of the function within the given range")) (|problemPoints| (((|List| (|DoubleFloat|)) (|Expression| (|DoubleFloat|)) (|Symbol|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{problemPoints(f,{}var,{}range)} returns a list of possible problem points by looking at the zeros of the denominator of the function if it can be retracted to \\axiomType{Polynomial DoubleFloat}.")) (|functionIsOscillatory| (((|Float|) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{functionIsOscillatory(a)} tests whether the function \\spad{a.fn} has many zeros of its derivative.")) (|gethi| (((|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{gethi(x)} gets the \\axiomType{DoubleFloat} equivalent of the second endpoint of the range \\axiom{\\spad{x}}")) (|getlo| (((|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{getlo(x)} gets the \\axiomType{DoubleFloat} equivalent of the first endpoint of the range \\axiom{\\spad{x}}")) (|functionIsContinuousAtEndPoints| (((|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated")) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{functionIsContinuousAtEndPoints(args)} uses power series limits to check for problems at the end points of the range of \\spad{args}.")) (|rangeIsFinite| (((|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{rangeIsFinite(args)} tests the endpoints of \\spad{args.range} for infinite end points."))) 
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-(-185) 
+(-186) 
 ((|constructor| (NIL "\\axiomType{d01ajfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01AJF,{} a general numerical integration routine which can handle some singularities in the input function. The function \\axiomFun{measure} measures the usefulness of the routine D01AJF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-186) 
+(-187) 
 ((|constructor| (NIL "\\axiomType{d01akfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01AKF,{} a numerical integration routine which is is suitable for oscillating,{} non-singular functions. The function \\axiomFun{measure} measures the usefulness of the routine D01AKF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
 NIL 
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-(-187) 
+(-188) 
 ((|constructor| (NIL "\\axiomType{d01alfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01ALF,{} a general numerical integration routine which can handle a list of singularities. The function \\axiomFun{measure} measures the usefulness of the routine D01ALF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-188) 
+(-189) 
 ((|constructor| (NIL "\\axiomType{d01amfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01AMF,{} a general numerical integration routine which can handle infinite or semi-infinite range of the input function. The function \\axiomFun{measure} measures the usefulness of the routine D01AMF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-189) 
+(-190) 
 ((|constructor| (NIL "\\axiomType{d01anfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01ANF,{} a numerical integration routine which can handle weight functions of the form cos(\\omega \\spad{x}) or sin(\\omega \\spad{x}). The function \\axiomFun{measure} measures the usefulness of the routine D01ANF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-190) 
+(-191) 
 ((|constructor| (NIL "\\axiomType{d01apfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01APF,{} a general numerical integration routine which can handle end point singularities of the algebraico-logarithmic form \\spad{w}(\\spad{x}) = (\\spad{x}-a)\\spad{^c} * (\\spad{b}-\\spad{x})\\spad{^d}. The function \\axiomFun{measure} measures the usefulness of the routine D01APF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-191) 
+(-192) 
 ((|constructor| (NIL "\\axiomType{d01aqfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01AQF,{} a general numerical integration routine which can solve an integral of the form /home/bjd/Axiom/anna/hypertex/bitmaps/d01aqf.\\spad{xbm} The function \\axiomFun{measure} measures the usefulness of the routine D01AQF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-192) 
+(-193) 
 ((|constructor| (NIL "\\axiomType{d01asfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01ASF,{} a numerical integration routine which can handle weight functions of the form cos(\\omega \\spad{x}) or sin(\\omega \\spad{x}) on an semi-infinite range. The function \\axiomFun{measure} measures the usefulness of the routine D01ASF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-193) 
+(-194) 
 ((|constructor| (NIL "\\axiomType{d01fcfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01FCF,{} a numerical integration routine which can handle multi-dimensional quadrature over a finite region. The function \\axiomFun{measure} measures the usefulness of the routine D01GBF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-194) 
+(-195) 
 ((|constructor| (NIL "\\axiomType{d01gbfAnnaType} is a domain of \\axiomType{NumericalIntegrationCategory} for the NAG routine D01GBF,{} a numerical integration routine which can handle multi-dimensional quadrature over a finite region. The function \\axiomFun{measure} measures the usefulness of the routine D01GBF for the given problem. The function \\axiomFun{numericalIntegration} performs the integration by using \\axiomType{NagIntegrationPackage}."))) 
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-(-195) 
+(-196) 
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-(-196) 
+(-197) 
 ((|constructor| (NIL "\\axiom{d01WeightsPackage} is a package for functions used to investigate whether a function can be divided into a simpler function and a weight function. The types of weights investigated are those giving rise to end-point singularities of the algebraico-logarithmic type,{} and trigonometric weights.")) (|exprHasLogarithmicWeights| (((|Integer|) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\axiom{exprHasLogarithmicWeights} looks for logarithmic weights giving rise to singularities of the function at the end-points.")) (|exprHasAlgebraicWeight| (((|Union| (|List| (|DoubleFloat|)) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\axiom{exprHasAlgebraicWeight} looks for algebraic weights giving rise to singularities of the function at the end-points.")) (|exprHasWeightCosWXorSinWX| (((|Union| (|Record| (|:| |op| (|BasicOperator|)) (|:| |w| (|DoubleFloat|))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\axiom{exprHasWeightCosWXorSinWX} looks for trigonometric weights in an expression of the form \\axiom{cos \\omega \\spad{x}} or \\axiom{sin \\omega \\spad{x}},{} returning the value of \\omega (\\notequal 1) and the operator."))) 
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-(-197) 
+(-198) 
 ((|constructor| (NIL "\\axiom{d02AgentsPackage} contains a set of computational agents for use with Ordinary Differential Equation solvers.")) (|intermediateResultsIF| (((|Float|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{intermediateResultsIF(o)} returns a value corresponding to the required number of intermediate results required and,{} therefore,{} an indication of how much this would affect the step-length of the calculation. It returns a value in the range [0,{}1].")) (|accuracyIF| (((|Float|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{accuracyIF(o)} returns the intensity value of the accuracy requirements of the input ODE. A request of accuracy of 10^-6 corresponds to the neutral intensity. It returns a value in the range [0,{}1].")) (|expenseOfEvaluationIF| (((|Float|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{expenseOfEvaluationIF(o)} returns the intensity value of the cost of evaluating the input ODE. This is in terms of the number of ``operational units\\spad{''}. It returns a value in the range [0,{}1].\\indent{20} 400 ``operation units\\spad{''} \\spad{->} 0.75 200 ``operation units\\spad{''} \\spad{->} 0.5 83 ``operation units\\spad{''} \\spad{->} 0.25 \\indent{15} exponentiation = 4 units ,{} function calls = 10 units.")) (|systemSizeIF| (((|Float|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{systemSizeIF(ode)} returns the intensity value of the size of the system of ODEs. 20 equations corresponds to the neutral value. It returns a value in the range [0,{}1].")) (|stiffnessAndStabilityOfODEIF| (((|Record| (|:| |stiffnessFactor| (|Float|)) (|:| |stabilityFactor| (|Float|))) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{stiffnessAndStabilityOfODEIF(ode)} calculates the intensity values of stiffness of a system of first-order differential equations (by evaluating the maximum difference in the real parts of the negative eigenvalues of the jacobian of the system for which \\spad{O}(10) equates to mildly stiff wheras stiffness ratios of \\spad{O}(10^6) are not uncommon) and whether the system is likely to show any oscillations (identified by the closeness to the imaginary axis of the complex eigenvalues of the jacobian). \\blankline It returns two values in the range [0,{}1].")) (|stiffnessAndStabilityFactor| (((|Record| (|:| |stiffnessFactor| (|Float|)) (|:| |stabilityFactor| (|Float|))) (|Matrix| (|Expression| (|DoubleFloat|)))) "\\spad{stiffnessAndStabilityFactor(me)} calculates the stability and stiffness factor of a system of first-order differential equations (by evaluating the maximum difference in the real parts of the negative eigenvalues of the jacobian of the system for which \\spad{O}(10) equates to mildly stiff wheras stiffness ratios of \\spad{O}(10^6) are not uncommon) and whether the system is likely to show any oscillations (identified by the closeness to the imaginary axis of the complex eigenvalues of the jacobian).")) (|eval| (((|Matrix| (|Expression| (|DoubleFloat|))) (|Matrix| (|Expression| (|DoubleFloat|))) (|List| (|Symbol|)) (|Vector| (|Expression| (|DoubleFloat|)))) "\\spad{eval(mat,{}symbols,{}values)} evaluates a multivariable matrix at given \\spad{values} for each of a list of variables")) (|jacobian| (((|Matrix| (|Expression| (|DoubleFloat|))) (|Vector| (|Expression| (|DoubleFloat|))) (|List| (|Symbol|))) "\\spad{jacobian(v,{}w)} is a local function to make a jacobian matrix")) (|sparsityIF| (((|Float|) (|Matrix| (|Expression| (|DoubleFloat|)))) "\\spad{sparsityIF(m)} calculates the sparsity of a jacobian matrix")) (|combineFeatureCompatibility| (((|Float|) (|Float|) (|List| (|Float|))) "\\spad{combineFeatureCompatibility(C1,{}L)} is for interacting attributes") (((|Float|) (|Float|) (|Float|)) "\\spad{combineFeatureCompatibility(C1,{}C2)} is for interacting attributes"))) 
 NIL 
 NIL 
-(-198) 
+(-199) 
 ((|constructor| (NIL "\\axiomType{d02bbfAnnaType} is a domain of \\axiomType{OrdinaryDifferentialEquationsInitialValueProblemSolverCategory} for the NAG routine D02BBF,{} a ODE routine which uses an Runge-Kutta method to solve a system of differential equations. The function \\axiomFun{measure} measures the usefulness of the routine D02BBF for the given problem. The function \\axiomFun{ODESolve} performs the integration by using \\axiomType{NagOrdinaryDifferentialEquationsPackage}."))) 
 NIL 
 NIL 
-(-199) 
+(-200) 
 ((|constructor| (NIL "\\axiomType{d02bhfAnnaType} is a domain of \\axiomType{OrdinaryDifferentialEquationsInitialValueProblemSolverCategory} for the NAG routine D02BHF,{} a ODE routine which uses an Runge-Kutta method to solve a system of differential equations. The function \\axiomFun{measure} measures the usefulness of the routine D02BHF for the given problem. The function \\axiomFun{ODESolve} performs the integration by using \\axiomType{NagOrdinaryDifferentialEquationsPackage}."))) 
 NIL 
 NIL 
-(-200) 
+(-201) 
 ((|constructor| (NIL "\\axiomType{d02cjfAnnaType} is a domain of \\axiomType{OrdinaryDifferentialEquationsInitialValueProblemSolverCategory} for the NAG routine D02CJF,{} a ODE routine which uses an Adams-Moulton-Bashworth method to solve a system of differential equations. The function \\axiomFun{measure} measures the usefulness of the routine D02CJF for the given problem. The function \\axiomFun{ODESolve} performs the integration by using \\axiomType{NagOrdinaryDifferentialEquationsPackage}."))) 
 NIL 
 NIL 
-(-201) 
+(-202) 
 ((|constructor| (NIL "\\axiomType{d02ejfAnnaType} is a domain of \\axiomType{OrdinaryDifferentialEquationsInitialValueProblemSolverCategory} for the NAG routine D02EJF,{} a ODE routine which uses a backward differentiation formulae method to handle a stiff system of differential equations. The function \\axiomFun{measure} measures the usefulness of the routine D02EJF for the given problem. The function \\axiomFun{ODESolve} performs the integration by using \\axiomType{NagOrdinaryDifferentialEquationsPackage}."))) 
 NIL 
 NIL 
-(-202) 
+(-203) 
 ((|constructor| (NIL "\\axiom{d03AgentsPackage} contains a set of computational agents for use with Partial Differential Equation solvers.")) (|elliptic?| (((|Boolean|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{elliptic?(r)} \\undocumented{}")) (|central?| (((|Boolean|) (|DoubleFloat|) (|DoubleFloat|) (|List| (|Expression| (|DoubleFloat|)))) "\\spad{central?(f,{}g,{}l)} \\undocumented{}")) (|subscriptedVariables| (((|Expression| (|DoubleFloat|)) (|Expression| (|DoubleFloat|))) "\\spad{subscriptedVariables(e)} \\undocumented{}")) (|varList| (((|List| (|Symbol|)) (|Symbol|) (|NonNegativeInteger|)) "\\spad{varList(s,{}n)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-203) 
+(-204) 
 ((|constructor| (NIL "\\axiomType{d03eefAnnaType} is a domain of \\axiomType{PartialDifferentialEquationsSolverCategory} for the NAG routines D03EEF/D03EDF."))) 
 NIL 
 NIL 
-(-204) 
+(-205) 
 ((|constructor| (NIL "\\axiomType{d03fafAnnaType} is a domain of \\axiomType{PartialDifferentialEquationsSolverCategory} for the NAG routine D03FAF."))) 
 NIL 
 NIL 
-(-205 S) 
+(-206 S) 
 ((|constructor| (NIL "This domain implements a simple view of a database whose fields are indexed by symbols")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(l)} makes a database out of a list")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\spad{db1+db2} returns the merge of databases \\spad{db1} and \\spad{db2}")) (|fullDisplay| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{fullDisplay(db,{}start,{}end )} prints full details of entries in the range \\axiom{\\spad{start}..end} in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(db)} prints full details of each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(x)} displays \\spad{x} in detail")) (|display| (((|Void|) $) "\\spad{display(db)} prints a summary line for each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{display(x)} displays \\spad{x} in some form")) (|elt| (((|DataList| (|String|)) $ (|Symbol|)) "\\spad{elt(db,{}s)} returns the \\axiom{\\spad{s}} field of each element of \\axiom{\\spad{db}}.") (($ $ (|QueryEquation|)) "\\spad{elt(db,{}q)} returns all elements of \\axiom{\\spad{db}} which satisfy \\axiom{\\spad{q}}.") (((|String|) $ (|Symbol|)) "\\spad{elt(x,{}s)} returns an element of \\spad{x} indexed by \\spad{s}"))) 
 NIL 
 NIL 
-(-206 -1478 UP UPUP R) 
+(-207 -1564 UP UPUP R) 
 ((|constructor| (NIL "This package provides functions for computing the residues of a function on an algebraic curve.")) (|doubleResultant| ((|#2| |#4| (|Mapping| |#2| |#2|)) "\\spad{doubleResultant(f,{} ')} returns \\spad{p}(\\spad{x}) whose roots are rational multiples of the residues of \\spad{f} at all its finite poles. Argument ' is the derivation to use."))) 
 NIL 
 NIL 
-(-207 -1478 FP) 
+(-208 -1564 FP) 
 ((|constructor| (NIL "Package for the factorization of a univariate polynomial with coefficients in a finite field. The algorithm used is the \"distinct degree\" algorithm of Cantor-Zassenhaus,{} modified to use trace instead of the norm and a table for computing Frobenius as suggested by Naudin and Quitte .")) (|irreducible?| (((|Boolean|) |#2|) "\\spad{irreducible?(p)} tests whether the polynomial \\spad{p} is irreducible.")) (|tracePowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{tracePowMod(u,{}k,{}v)} produces the sum of \\spad{u**(q**i)} for \\spad{i} running and \\spad{q=} size \\spad{F}")) (|trace2PowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{trace2PowMod(u,{}k,{}v)} produces the sum of u**(2**i) for \\spad{i} running from 1 to \\spad{k} all computed modulo the polynomial \\spad{v}.")) (|exptMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{exptMod(u,{}k,{}v)} raises the polynomial \\spad{u} to the \\spad{k}th power modulo the polynomial \\spad{v}.")) (|separateFactors| (((|List| |#2|) (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|)))) "\\spad{separateFactors(lfact)} takes the list produced by separateDegrees and produces the complete list of factors.")) (|separateDegrees| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|))) |#2|) "\\spad{separateDegrees(p)} splits the square free polynomial \\spad{p} into factors each of which is a product of irreducibles of the same degree.")) (|distdfact| (((|Record| (|:| |cont| |#1|) (|:| |factors| (|List| (|Record| (|:| |irr| |#2|) (|:| |pow| (|Integer|)))))) |#2| (|Boolean|)) "\\spad{distdfact(p,{}sqfrflag)} produces the complete factorization of the polynomial \\spad{p} returning an internal data structure. If argument \\spad{sqfrflag} is \\spad{true},{} the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#2|) |#2|) "\\spad{factorSquareFree(p)} produces the complete factorization of the square free polynomial \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} produces the complete factorization of the polynomial \\spad{p}."))) 
 NIL 
 NIL 
-(-208) 
+(-209) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions.")) (|decimal| (($ (|Fraction| (|Integer|))) "\\spad{decimal(r)} converts a rational number to a decimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(d)} returns the fractional part of a decimal expansion.")) (|coerce| (((|RadixExpansion| 10) $) "\\spad{coerce(d)} converts a decimal expansion to a radix expansion with base 10.") (((|Fraction| (|Integer|)) $) "\\spad{coerce(d)} converts a decimal expansion to a rational number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-568) (QUOTE (-904))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-568) (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-150))) (|HasCategory| (-568) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-568) (QUOTE (-1021))) (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-1136))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-568) (QUOTE (-225))) (|HasCategory| (-568) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-568) (LIST (QUOTE -523) (QUOTE (-1161)) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -303) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -281) (QUOTE (-568)) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-301))) (|HasCategory| (-568) (QUOTE (-550))) (|HasCategory| (-568) (QUOTE (-842))) (-2199 (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (QUOTE (-842)))) (|HasCategory| (-568) (LIST (QUOTE -630) (QUOTE (-568)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (|HasCategory| (-568) (QUOTE (-148))))) 
-(-209 R -1478) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-569) (QUOTE (-905))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-569) (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-151))) (|HasCategory| (-569) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-569) (QUOTE (-1022))) (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-1137))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-569) (QUOTE (-226))) (|HasCategory| (-569) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-569) (LIST (QUOTE -524) (QUOTE (-1163)) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -282) (QUOTE (-569)) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-302))) (|HasCategory| (-569) (QUOTE (-551))) (|HasCategory| (-569) (QUOTE (-843))) (-2232 (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (QUOTE (-843)))) (|HasCategory| (-569) (LIST (QUOTE -631) (QUOTE (-569)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (|HasCategory| (-569) (QUOTE (-149))))) 
+(-210 R -1564) 
 ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f,{} x,{} a,{} b,{} ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f,{} x = a..b,{} \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f,{} x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) 
 NIL 
 NIL 
-(-210 R) 
+(-211 R) 
 ((|constructor| (NIL "Definite integration of rational functions. \\spadtype{RationalFunctionDefiniteIntegration} provides functions to compute definite integrals of rational functions.")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| (|Expression| |#1|))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| |#1|)))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) (|Fraction| (|Polynomial| |#1|)) (|SegmentBinding| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|)))) (|String|)) "\\spad{integrate(f,{} x = a..b,{} \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| (|Expression| |#1|))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| |#1|)))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) (|Fraction| (|Polynomial| |#1|)) (|SegmentBinding| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))))) "\\spad{integrate(f,{} x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}.") (((|Union| (|:| |f1| (|OrderedCompletion| (|Expression| |#1|))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| |#1|)))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) (|Fraction| (|Polynomial| |#1|)) (|SegmentBinding| (|OrderedCompletion| (|Expression| |#1|))) (|String|)) "\\spad{integrate(f,{} x = a..b,{} \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| (|Expression| |#1|))) (|:| |f2| (|List| (|OrderedCompletion| (|Expression| |#1|)))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) (|Fraction| (|Polynomial| |#1|)) (|SegmentBinding| (|OrderedCompletion| (|Expression| |#1|)))) "\\spad{integrate(f,{} x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) 
 NIL 
 NIL 
-(-211 R1 R2) 
+(-212 R1 R2) 
 ((|constructor| (NIL "This package has no description")) (|expand| (((|List| (|Expression| |#2|)) (|Expression| |#2|) (|PositiveInteger|)) "\\spad{expand(f,{}n)} \\undocumented{}")) (|reduce| (((|Record| (|:| |pol| (|SparseUnivariatePolynomial| |#1|)) (|:| |deg| (|PositiveInteger|))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reduce(p)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-212 S) 
+(-213 S) 
 ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|member?| (((|Boolean|) |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} member?(3,{}a)")) (|members| (((|List| |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} members a")) (|parts| (((|List| |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} parts a")) (|#| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} \\#a")) (|count| (((|NonNegativeInteger|) |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} count(4,{}a)") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} count(\\spad{x+}->(\\spad{x>2}),{}a)")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} any?(\\spad{x+}->(\\spad{x=4}),{}a)")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} every?(\\spad{x+}->(\\spad{x=4}),{}a)")) (~= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} (a~=b)")) (= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} b:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} (a=b)@Boolean")) (|coerce| (((|OutputForm|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} coerce a")) (|hash| (((|SingleInteger|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} hash a")) (|latex| (((|String|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} latex a")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} map!(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|top!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} top! a \\spad{X} a")) (|reverse!| (($ $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} reverse! a \\spad{X} a")) (|push!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} push! a \\spad{X} a")) (|pop!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} pop! a \\spad{X} a")) (|insertTop!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} insertTop! a \\spad{X} a")) (|insertBottom!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} insertBottom! a \\spad{X} a")) (|extractTop!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} extractTop! a \\spad{X} a")) (|extractBottom!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} extractBottom! a \\spad{X} a")) (|bottom!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} bottom! a \\spad{X} a")) (|top| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} top a")) (|height| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} height a")) (|depth| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} depth a")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} map(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|eq?| (((|Boolean|) $ $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} eq?(a,{}\\spad{b})")) (|copy| (($ $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} copy a")) (|sample| (($) "\\blankline \\spad{X} sample()\\$Dequeue(INT)")) (|empty| (($) "\\blankline \\spad{X} b:=empty()\\$(Dequeue INT)")) (|empty?| (((|Boolean|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} empty? a")) (|bag| (($ (|List| |#1|)) "\\blankline \\spad{X} bag([1,{}2,{}3,{}4,{}5])\\$Dequeue(INT)")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} size?(a,{}5)")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} more?(a,{}9)")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} less?(a,{}9)")) (|length| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} length a")) (|rotate!| (($ $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} rotate! a")) (|back| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} back a")) (|front| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} front a")) (|inspect| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} inspect a")) (|insert!| (($ |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} insert! (8,{}a) \\spad{X} a")) (|enqueue!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} enqueue! (9,{}a) \\spad{X} a")) (|extract!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} extract! a \\spad{X} a")) (|dequeue!| ((|#1| $) "\\blankline \\spad{X} a:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5] \\spad{X} dequeue! a \\spad{X} a")) (|dequeue| (($) "\\blankline \\spad{X} a:Dequeue INT:= dequeue ()") (($ (|List| |#1|)) "\\indented{1}{dequeue([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) creates a dequeue with first (top or front)} \\indented{1}{element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}.} \\blankline \\spad{E} g:Dequeue INT:= dequeue [1,{}2,{}3,{}4,{}5]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-213 |CoefRing| |listIndVar|) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-214 |CoefRing| |listIndVar|) 
 ((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,{}df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,{}u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-214 R -1478) 
+(-215 R -1564) 
 ((|constructor| (NIL "\\spadtype{DefiniteIntegrationTools} provides common tools used by the definite integration of both rational and elementary functions.")) (|checkForZero| (((|Union| (|Boolean|) "failed") (|SparseUnivariatePolynomial| |#2|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p,{} a,{} b,{} incl?)} is \\spad{true} if \\spad{p} has a zero between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.") (((|Union| (|Boolean|) "failed") (|Polynomial| |#1|) (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p,{} x,{} a,{} b,{} incl?)} is \\spad{true} if \\spad{p} has a zero for \\spad{x} between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.")) (|computeInt| (((|Union| (|OrderedCompletion| |#2|) "failed") (|Kernel| |#2|) |#2| (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{computeInt(x,{} g,{} a,{} b,{} eval?)} returns the integral of \\spad{f} for \\spad{x} between a and \\spad{b},{} assuming that \\spad{g} is an indefinite integral of \\spad{f} and \\spad{f} has no pole between a and \\spad{b}. If \\spad{eval?} is \\spad{true},{} then \\spad{g} can be evaluated safely at \\spad{a} and \\spad{b},{} provided that they are finite values. Otherwise,{} limits must be computed.")) (|ignore?| (((|Boolean|) (|String|)) "\\spad{ignore?(s)} is \\spad{true} if \\spad{s} is the string that tells the integrator to assume that the function has no pole in the integration interval."))) 
 NIL 
 NIL 
-(-215) 
+(-216) 
 ((|constructor| (NIL "\\spadtype{DoubleFloat} is intended to make accessible hardware floating point arithmetic in Axiom,{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spad{++} +,{} *,{} / and possibly also the sqrt operation. The operations exp,{} log,{} sin,{} cos,{} atan are normally coded in software based on minimax polynomial/rational approximations. \\blankline Some general comments about the accuracy of the operations: the operations +,{} *,{} / and sqrt are expected to be fully accurate. The operations exp,{} log,{} sin,{} cos and atan are not expected to be fully accurate. In particular,{} sin and cos will lose all precision for large arguments. \\blankline The Float domain provides an alternative to the DoubleFloat domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as erf,{} the error function in addition to the elementary functions. The disadvantage of Float is that it is much more expensive than small floats when the latter can be used.")) (|integerDecode| (((|List| (|Integer|)) $) "\\indented{1}{integerDecode(\\spad{x}) returns the multiple values of the\\space{2}common} \\indented{1}{lisp integer-decode-float function.} \\indented{1}{See Steele,{} ISBN 0-13-152414-3 \\spad{p354}. This function can be used} \\indented{1}{to ensure that the results are bit-exact and do not depend on} \\indented{1}{the binary-to-decimal conversions.} \\blankline \\spad{X} a:DFLOAT:=-1.0/3.0 \\spad{X} integerDecode a")) (|machineFraction| (((|Fraction| (|Integer|)) $) "\\indented{1}{machineFraction(\\spad{x}) returns a bit-exact fraction of the machine} \\indented{1}{floating point number using the common lisp integer-decode-float} \\indented{1}{function. See Steele,{} ISBN 0-13-152414-3 \\spad{p354}} \\indented{1}{This function can be used to print results which do not depend} \\indented{1}{on binary-to-decimal conversions} \\blankline \\spad{X} a:DFLOAT:=-1.0/3.0 \\spad{X} machineFraction a")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n,{} b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|doubleFloatFormat| (((|String|) (|String|)) "change the output format for doublefloats using lisp format strings")) (|Beta| (($ $ $) "\\spad{Beta(x,{}y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,{}y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|hash| (((|Integer|) $) "\\spad{hash(x)} returns the hash key for \\spad{x}")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) 
-((-3999 . T) (-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2994 . T) (-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-216) 
-((|constructor| (NIL "This is a low-level domain which implements matrices (two dimensional arrays) of double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|qnew| (($ (|Integer|) (|Integer|)) "\\indented{1}{qnew(\\spad{n},{} \\spad{m}) creates a new uninitialized \\spad{n} by \\spad{m} matrix.} \\blankline \\spad{X} t1:DFMAT:=qnew(3,{}4)"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-215) (QUOTE (-1090))) (-12 (|HasCategory| (-215) (LIST (QUOTE -303) (QUOTE (-215)))) (|HasCategory| (-215) (QUOTE (-1090)))) (|HasCategory| (-215) (QUOTE (-301))) (|HasCategory| (-215) (QUOTE (-558))) (|HasAttribute| (-215) (QUOTE (-4523 "*"))) (|HasCategory| (-215) (QUOTE (-172))) (|HasCategory| (-215) (QUOTE (-365)))) 
 (-217) 
-((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,{}z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,{}z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,{}x)} is the modified Bessel function of the second kind,{} \\spad{K(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{K(v,{}x) = \\%pi/2*(I(-v,{}x) - I(v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,{}x)} is the modified Bessel function of the second kind,{} \\spad{K(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{K(v,{}x) = \\%pi/2*(I(-v,{}x) - I(v,{}x))/sin(v*\\%\\spad{pi})}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{I(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{I(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,{}x)} is the Bessel function of the second kind,{} \\spad{Y(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{Y(v,{}x) = (J(v,{}x) cos(v*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,{}x)} is the Bessel function of the second kind,{} \\spad{Y(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{Y(v,{}x) = (J(v,{}x) cos(v*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,{}x)} is the Bessel function of the first kind,{} \\spad{J(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,{}x)} is the Bessel function of the first kind,{} \\spad{J(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n,{} x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n,{} x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x,{} y)} is the Euler beta function,{} \\spad{B(x,{}y)},{} defined by \\indented{2}{\\spad{Beta(x,{}y) = integrate(t^(x-1)*(1-t)^(y-1),{} t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,{}y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x,{} y)} is the Euler beta function,{} \\spad{B(x,{}y)},{} defined by \\indented{2}{\\spad{Beta(x,{}y) = integrate(t^(x-1)*(1-t)^(y-1),{} t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,{}y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Ei6| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei6} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from 32 to infinity (preserves digits)")) (|Ei5| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei5} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from 12 to 32 (preserves digits)")) (|Ei4| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei4} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from 4 to 12 (preserves digits)")) (|Ei3| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei3} is the first approximation of \\spad{Ei} where the result is (\\spad{Ei}(\\spad{x})-log \\spad{|x|} - gamma)\\spad{/x} from \\spad{-4} to 4 (preserves digits)")) (|Ei2| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei2} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from \\spad{-10} to \\spad{-4} (preserves digits)")) (|Ei1| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei1} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from -infinity to \\spad{-10} (preserves digits)")) (|Ei| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei} is the Exponential Integral function This is computed using a 6 part piecewise approximation. DoubleFloat can only preserve about 16 digits but the Chebyshev approximation used can give 30 digits.")) (|En| (((|OnePointCompletion| (|DoubleFloat|)) (|Integer|) (|DoubleFloat|)) "\\spad{En(n,{}x)} is the \\spad{n}th Exponential Integral Function")) (E1 (((|OnePointCompletion| (|DoubleFloat|)) (|DoubleFloat|)) "\\spad{E1(x)} is the Exponential Integral function The current implementation is a piecewise approximation involving one poly from \\spad{-4}..4 and a second poly for \\spad{x} > 4")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t),{} t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t),{} t=0..\\%infinity)}.}"))) 
+((|constructor| (NIL "This is a low-level domain which implements matrices (two dimensional arrays) of double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|qnew| (($ (|Integer|) (|Integer|)) "\\indented{1}{qnew(\\spad{n},{} \\spad{m}) creates a new uninitialized \\spad{n} by \\spad{m} matrix.} \\blankline \\spad{X} t1:DFMAT:=qnew(3,{}4)"))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-216) (QUOTE (-1091))) (-12 (|HasCategory| (-216) (LIST (QUOTE -304) (QUOTE (-216)))) (|HasCategory| (-216) (QUOTE (-1091)))) (|HasCategory| (-216) (QUOTE (-302))) (|HasCategory| (-216) (QUOTE (-559))) (|HasAttribute| (-216) (QUOTE (-4537 "*"))) (|HasCategory| (-216) (QUOTE (-173))) (|HasCategory| (-216) (QUOTE (-366)))) 
+(-218) 
+((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|fresnelC| (((|Float|) (|Float|)) "\\indented{1}{fresnelC(\\spad{f}) denotes the Fresnel integral \\spad{C}} \\blankline \\spad{X} fresnelC(1.5)")) (|fresnelS| (((|Float|) (|Float|)) "\\indented{1}{fresnelS(\\spad{f}) denotes the Fresnel integral \\spad{S}} \\blankline \\spad{X} fresnelS(1.5)")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,{}z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,{}z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,{}x)} is the modified Bessel function of the second kind,{} \\spad{K(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{K(v,{}x) = \\%pi/2*(I(-v,{}x) - I(v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,{}x)} is the modified Bessel function of the second kind,{} \\spad{K(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{K(v,{}x) = \\%pi/2*(I(-v,{}x) - I(v,{}x))/sin(v*\\%\\spad{pi})}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{I(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{I(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,{}x)} is the Bessel function of the second kind,{} \\spad{Y(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{Y(v,{}x) = (J(v,{}x) cos(v*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,{}x)} is the Bessel function of the second kind,{} \\spad{Y(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note that the default implementation uses the relation \\indented{2}{\\spad{Y(v,{}x) = (J(v,{}x) cos(v*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,{}x)} is the Bessel function of the first kind,{} \\spad{J(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,{}x)} is the Bessel function of the first kind,{} \\spad{J(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n,{} x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n,{} x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x,{} y)} is the Euler beta function,{} \\spad{B(x,{}y)},{} defined by \\indented{2}{\\spad{Beta(x,{}y) = integrate(t^(x-1)*(1-t)^(y-1),{} t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,{}y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x,{} y)} is the Euler beta function,{} \\spad{B(x,{}y)},{} defined by \\indented{2}{\\spad{Beta(x,{}y) = integrate(t^(x-1)*(1-t)^(y-1),{} t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,{}y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Ei6| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei6} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from 32 to infinity (preserves digits)")) (|Ei5| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei5} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from 12 to 32 (preserves digits)")) (|Ei4| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei4} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from 4 to 12 (preserves digits)")) (|Ei3| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei3} is the first approximation of \\spad{Ei} where the result is (\\spad{Ei}(\\spad{x})-log \\spad{|x|} - gamma)\\spad{/x} from \\spad{-4} to 4 (preserves digits)")) (|Ei2| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei2} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from \\spad{-10} to \\spad{-4} (preserves digits)")) (|Ei1| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei1} is the first approximation of \\spad{Ei} where the result is \\spad{x*}\\%e^-x*Ei(\\spad{x}) from -infinity to \\spad{-10} (preserves digits)")) (|Ei| (((|OnePointCompletion| (|DoubleFloat|)) (|OnePointCompletion| (|DoubleFloat|))) "\\spad{Ei} is the Exponential Integral function This is computed using a 6 part piecewise approximation. DoubleFloat can only preserve about 16 digits but the Chebyshev approximation used can give 30 digits.")) (|En| (((|OnePointCompletion| (|DoubleFloat|)) (|Integer|) (|DoubleFloat|)) "\\spad{En(n,{}x)} is the \\spad{n}th Exponential Integral Function")) (E1 (((|OnePointCompletion| (|DoubleFloat|)) (|DoubleFloat|)) "\\spad{E1(x)} is the Exponential Integral function The current implementation is a piecewise approximation involving one poly from \\spad{-4}..4 and a second poly for \\spad{x} > 4")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t),{} t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t),{} t=0..\\%infinity)}.}"))) 
 NIL 
 NIL 
-(-218) 
+(-219) 
 ((|constructor| (NIL "This is a low-level domain which implements vectors (one dimensional arrays) of double precision floating point numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level).")) (|qnew| (($ (|Integer|)) "\\indented{1}{qnew(\\spad{n}) creates a new uninitialized vector of length \\spad{n}.} \\blankline \\spad{X} t1:DFVEC:=qnew(7)"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-215) (QUOTE (-1090))) (|HasCategory| (-215) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-215) (QUOTE (-842))) (-2199 (|HasCategory| (-215) (QUOTE (-842))) (|HasCategory| (-215) (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-215) (QUOTE (-25))) (|HasCategory| (-215) (QUOTE (-23))) (|HasCategory| (-215) (QUOTE (-21))) (|HasCategory| (-215) (QUOTE (-716))) (|HasCategory| (-215) (QUOTE (-1047))) (-12 (|HasCategory| (-215) (QUOTE (-1002))) (|HasCategory| (-215) (QUOTE (-1047)))) (-12 (|HasCategory| (-215) (LIST (QUOTE -303) (QUOTE (-215)))) (|HasCategory| (-215) (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| (-215) (LIST (QUOTE -303) (QUOTE (-215)))) (|HasCategory| (-215) (QUOTE (-842)))) (-12 (|HasCategory| (-215) (LIST (QUOTE -303) (QUOTE (-215)))) (|HasCategory| (-215) (QUOTE (-1090)))))) 
-(-219 R) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-216) (QUOTE (-1091))) (|HasCategory| (-216) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-216) (QUOTE (-843))) (-2232 (|HasCategory| (-216) (QUOTE (-843))) (|HasCategory| (-216) (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-216) (QUOTE (-25))) (|HasCategory| (-216) (QUOTE (-23))) (|HasCategory| (-216) (QUOTE (-21))) (|HasCategory| (-216) (QUOTE (-717))) (|HasCategory| (-216) (QUOTE (-1048))) (-12 (|HasCategory| (-216) (QUOTE (-1003))) (|HasCategory| (-216) (QUOTE (-1048)))) (-12 (|HasCategory| (-216) (LIST (QUOTE -304) (QUOTE (-216)))) (|HasCategory| (-216) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-216) (LIST (QUOTE -304) (QUOTE (-216)))) (|HasCategory| (-216) (QUOTE (-843)))) (-12 (|HasCategory| (-216) (LIST (QUOTE -304) (QUOTE (-216)))) (|HasCategory| (-216) (QUOTE (-1091)))))) 
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 ((|constructor| (NIL "4x4 Matrices for coordinate transformations\\spad{\\br} This package contains functions to create 4x4 matrices useful for rotating and transforming coordinate systems. These matrices are useful for graphics and robotics. (Reference: Robot Manipulators Richard Paul MIT Press 1981) \\blankline A Denavit-Hartenberg Matrix is a 4x4 Matrix of the form:\\spad{\\br} \\tab{5}\\spad{nx ox ax px}\\spad{\\br} \\tab{5}\\spad{ny oy ay py}\\spad{\\br} \\tab{5}\\spad{nz oz az pz}\\spad{\\br} \\tab{5}\\spad{0 0 0 1}\\spad{\\br} (\\spad{n},{} \\spad{o},{} and a are the direction cosines)")) (|translate| (($ |#1| |#1| |#1|) "\\spad{translate(x,{}y,{}z)} returns a dhmatrix for translation by \\spad{x},{} \\spad{y},{} and \\spad{z}")) (|scale| (($ |#1| |#1| |#1|) "\\spad{scale(sx,{}sy,{}sz)} returns a dhmatrix for scaling in the \\spad{x},{} \\spad{y} and \\spad{z} directions")) (|rotatez| (($ |#1|) "\\spad{rotatez(r)} returns a dhmatrix for rotation about axis \\spad{z} for \\spad{r} degrees")) (|rotatey| (($ |#1|) "\\spad{rotatey(r)} returns a dhmatrix for rotation about axis \\spad{y} for \\spad{r} degrees")) (|rotatex| (($ |#1|) "\\spad{rotatex(r)} returns a dhmatrix for rotation about axis \\spad{x} for \\spad{r} degrees")) (|identity| (($) "\\spad{identity()} create the identity dhmatrix")) (* (((|Point| |#1|) $ (|Point| |#1|)) "\\spad{t*p} applies the dhmatrix \\spad{t} to point \\spad{p}"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-558))) (|HasAttribute| |#1| (QUOTE (-4523 "*"))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-220 A S) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-559))) (|HasAttribute| |#1| (QUOTE (-4537 "*"))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-221 A S) 
 ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) 
 NIL 
 NIL 
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 ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) 
-((-4522 . T) (-3973 . T)) 
+((-4536 . T) (-2982 . T)) 
 NIL 
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 ((|constructor| (NIL "Differential extensions of a ring \\spad{R}. Given a differentiation on \\spad{R},{} extend it to a differentiation on \\%.")) (D (($ $ (|Mapping| |#2| |#2|) (|NonNegativeInteger|)) "\\spad{D(x,{} deriv,{} n)} differentiate \\spad{x} \\spad{n} times using a derivation which extends \\spad{deriv} on \\spad{R}.") (($ $ (|Mapping| |#2| |#2|)) "\\spad{D(x,{} deriv)} differentiates \\spad{x} extending the derivation deriv on \\spad{R}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|) (|NonNegativeInteger|)) "\\spad{differentiate(x,{} deriv,{} n)} differentiate \\spad{x} \\spad{n} times using a derivation which extends \\spad{deriv} on \\spad{R}.") (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x,{} deriv)} differentiates \\spad{x} extending the derivation deriv on \\spad{R}."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-225)))) 
-(-223 R) 
+((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-226)))) 
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 ((|constructor| (NIL "Differential extensions of a ring \\spad{R}. Given a differentiation on \\spad{R},{} extend it to a differentiation on \\%.")) (D (($ $ (|Mapping| |#1| |#1|) (|NonNegativeInteger|)) "\\spad{D(x,{} deriv,{} n)} differentiate \\spad{x} \\spad{n} times using a derivation which extends \\spad{deriv} on \\spad{R}.") (($ $ (|Mapping| |#1| |#1|)) "\\spad{D(x,{} deriv)} differentiates \\spad{x} extending the derivation deriv on \\spad{R}.")) (|differentiate| (($ $ (|Mapping| |#1| |#1|) (|NonNegativeInteger|)) "\\spad{differentiate(x,{} deriv,{} n)} differentiate \\spad{x} \\spad{n} times using a derivation which extends \\spad{deriv} on \\spad{R}.") (($ $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(x,{} deriv)} differentiates \\spad{x} extending the derivation deriv on \\spad{R}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-224 S) 
+(-225 S) 
 ((|constructor| (NIL "An ordinary differential ring,{} that is,{} a ring with an operation \\spadfun{differentiate}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{differentiate(x+y) = differentiate(x)+differentiate(y)}\\spad{\\br} \\tab{5}\\spad{differentiate(x*y) = x*differentiate(y) + differentiate(x)*y}")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(x,{} n)} returns the \\spad{n}-th derivative of \\spad{x}.") (($ $) "\\spad{D(x)} returns the derivative of \\spad{x}. This function is a simple differential operator where no variable needs to be specified.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(x,{} n)} returns the \\spad{n}-th derivative of \\spad{x}.") (($ $) "\\spad{differentiate(x)} returns the derivative of \\spad{x}. This function is a simple differential operator where no variable needs to be specified."))) 
 NIL 
 NIL 
-(-225) 
+(-226) 
 ((|constructor| (NIL "An ordinary differential ring,{} that is,{} a ring with an operation \\spadfun{differentiate}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{differentiate(x+y) = differentiate(x)+differentiate(y)}\\spad{\\br} \\tab{5}\\spad{differentiate(x*y) = x*differentiate(y) + differentiate(x)*y}")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(x,{} n)} returns the \\spad{n}-th derivative of \\spad{x}.") (($ $) "\\spad{D(x)} returns the derivative of \\spad{x}. This function is a simple differential operator where no variable needs to be specified.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(x,{} n)} returns the \\spad{n}-th derivative of \\spad{x}.") (($ $) "\\spad{differentiate(x)} returns the derivative of \\spad{x}. This function is a simple differential operator where no variable needs to be specified."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-226 A S) 
+(-227 A S) 
 ((|constructor| (NIL "This category is a collection of operations common to both categories \\spadtype{Dictionary} and \\spadtype{MultiDictionary}")) (|select!| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{select!(p,{}d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is not \\spad{true}.")) (|remove!| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{remove!(p,{}d)} destructively changes dictionary \\spad{d} by removeing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.") (($ |#2| $) "\\spad{remove!(x,{}d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{y} such that \\axiom{\\spad{y} = \\spad{x}}.")) (|dictionary| (($ (|List| |#2|)) "\\spad{dictionary([x,{}y,{}...,{}z])} creates a dictionary consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{dictionary()}\\$\\spad{D} creates an empty dictionary of type \\spad{D}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4521))) 
-(-227 S) 
+((|HasAttribute| |#1| (QUOTE -4535))) 
+(-228 S) 
 ((|constructor| (NIL "This category is a collection of operations common to both categories \\spadtype{Dictionary} and \\spadtype{MultiDictionary}")) (|select!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select!(p,{}d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is not \\spad{true}.")) (|remove!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove!(p,{}d)} destructively changes dictionary \\spad{d} by removeing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.") (($ |#1| $) "\\spad{remove!(x,{}d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{y} such that \\axiom{\\spad{y} = \\spad{x}}.")) (|dictionary| (($ (|List| |#1|)) "\\spad{dictionary([x,{}y,{}...,{}z])} creates a dictionary consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{dictionary()}\\$\\spad{D} creates an empty dictionary of type \\spad{D}."))) 
-((-4522 . T) (-3973 . T)) 
+((-4536 . T) (-2982 . T)) 
 NIL 
-(-228) 
+(-229) 
 ((|constructor| (NIL "Any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets:\\spad{\\br} \\tab{5}1. all minimal inhomogeneous solutions\\spad{\\br} \\tab{5}2. all minimal homogeneous solutions\\spad{\\br} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) 
 NIL 
 NIL 
-(-229 S -1965 R) 
+(-230 S -4391 R) 
 ((|constructor| (NIL "This category represents a finite cartesian product of a given type. Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,{}y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) 
 NIL 
-((|HasCategory| |#3| (QUOTE (-365))) (|HasCategory| |#3| (QUOTE (-788))) (|HasCategory| |#3| (QUOTE (-840))) (|HasAttribute| |#3| (QUOTE -4518)) (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (QUOTE (-370))) (|HasCategory| |#3| (QUOTE (-716))) (|HasCategory| |#3| (QUOTE (-137))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1047))) (|HasCategory| |#3| (QUOTE (-1090)))) 
-(-230 -1965 R) 
+((|HasCategory| |#3| (QUOTE (-366))) (|HasCategory| |#3| (QUOTE (-789))) (|HasCategory| |#3| (QUOTE (-841))) (|HasAttribute| |#3| (QUOTE -4532)) (|HasCategory| |#3| (QUOTE (-173))) (|HasCategory| |#3| (QUOTE (-371))) (|HasCategory| |#3| (QUOTE (-717))) (|HasCategory| |#3| (QUOTE (-138))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1048))) (|HasCategory| |#3| (QUOTE (-1091)))) 
+(-231 -4391 R) 
 ((|constructor| (NIL "This category represents a finite cartesian product of a given type. Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,{}y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) 
-((-4515 |has| |#2| (-1047)) (-4516 |has| |#2| (-1047)) (-4518 |has| |#2| (-6 -4518)) ((-4523 "*") |has| |#2| (-172)) (-4521 . T) (-3973 . T)) 
+((-4529 |has| |#2| (-1048)) (-4530 |has| |#2| (-1048)) (-4532 |has| |#2| (-6 -4532)) ((-4537 "*") |has| |#2| (-173)) (-4535 . T) (-2982 . T)) 
 NIL 
-(-231 -1965 A B) 
+(-232 -4391 A B) 
 ((|constructor| (NIL "This package provides operations which all take as arguments direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f,{} v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,{}vec,{}ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,{}vec,{}ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) 
 NIL 
 NIL 
-(-232 -1965 R) 
+(-233 -4391 R) 
 ((|constructor| (NIL "This type represents the finite direct or cartesian product of an underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) 
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-303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-365)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-370)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-716)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-788)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-840)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1047)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))))) 
-(-233 |Coef|) 
+((-4529 |has| |#2| (-1048)) (-4530 |has| |#2| (-1048)) (-4532 |has| |#2| (-6 -4532)) ((-4537 "*") |has| |#2| (-173)) (-4535 . T)) 
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(|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1048)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1091))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-25)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-138)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-173)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-366)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-371)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-717)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-789)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-841)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1048)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))))) 
+(-234 |Coef|) 
 ((|constructor| (NIL "DirichletRing is the ring of arithmetical functions with Dirichlet convolution as multiplication")) (|additive?| (((|Boolean|) $ (|PositiveInteger|)) "\\spad{additive?(a,{} n)} returns \\spad{true} if the first \\spad{n} coefficients of a are additive")) (|multiplicative?| (((|Boolean|) $ (|PositiveInteger|)) "\\spad{multiplicative?(a,{} n)} returns \\spad{true} if the first \\spad{n} coefficients of a are multiplicative")) (|zeta| (($) "\\spad{zeta()} returns the function which is constantly one"))) 
-((-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) ((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-172)) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172)))) 
-(-234) 
+((-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) ((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-173)) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173)))) 
+(-235) 
 ((|constructor| (NIL "DisplayPackage allows one to print strings in a nice manner,{} including highlighting substrings.")) (|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,{}i,{}s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") (((|String|) (|String|) (|Integer|) (|String|)) "\\spad{center(s,{}i,{}s)} takes the first string \\spad{s},{} and centers it within a string of length \\spad{i},{} in which the other elements of the string are composed of as many replications as possible of the second indicated string,{} \\spad{s} which must have a length greater than that of an empty string.")) (|copies| (((|String|) (|Integer|) (|String|)) "\\spad{copies(i,{}s)} will take a string \\spad{s} and create a new string composed of \\spad{i} copies of \\spad{s}.")) (|newLine| (((|String|)) "\\spad{newLine()} sends a new line command to output.")) (|bright| (((|List| (|String|)) (|List| (|String|))) "\\spad{bright(l)} sets the font property of a list of strings,{} \\spad{l},{} to bold-face type.") (((|List| (|String|)) (|String|)) "\\spad{bright(s)} sets the font property of the string \\spad{s} to bold-face type."))) 
 NIL 
 NIL 
-(-235 S) 
+(-236 S) 
 ((|constructor| (NIL "This category exports the function for domains")) (|divOfPole| (($ $) "\\spad{divOfPole(d)} returns the negative part of \\spad{d}.")) (|divOfZero| (($ $) "\\spad{divOfZero(d)} returns the positive part of \\spad{d}.")) (|suppOfPole| (((|List| |#1|) $) "suppOfZero(\\spad{d}) returns the elements of the support of \\spad{d} that have a negative coefficient.")) (|suppOfZero| (((|List| |#1|) $) "\\spad{suppOfZero(d)} returns the elements of the support of \\spad{d} that have a positive coefficient.")) (|supp| (((|List| |#1|) $) "\\spad{supp(d)} returns the support of the divisor \\spad{d}.")) (|effective?| (((|Boolean|) $) "\\spad{effective?(d)} returns \\spad{true} if \\spad{d} \\spad{>=} 0.")) (|concat| (($ $ $) "\\spad{concat(a,{}b)} concats the divisor a and \\spad{b} without collecting the duplicative points.")) (|collect| (($ $) "\\spad{collect collects} the duplicative points in the divisor.")) (|split| (((|List| $) $) "\\spad{split(d)} splits the divisor \\spad{d}. For example,{} split( 2 \\spad{p1} + 3p2 ) returns the list [ 2 \\spad{p1},{} 3 \\spad{p2} ].")) (|degree| (((|Integer|) $) "\\spad{degree(d)} returns the degree of the divisor \\spad{d}"))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-236 S) 
-((|constructor| (NIL "The following is part of the PAFF package"))) 
-((-4516 . T) (-4515 . T)) 
-((|HasCategory| (-568) (QUOTE (-787)))) 
 (-237 S) 
+((|constructor| (NIL "The following is part of the PAFF package"))) 
+((-4530 . T) (-4529 . T)) 
+((|HasCategory| (-569) (QUOTE (-788)))) 
+(-238 S) 
 ((|constructor| (NIL "A division ring (sometimes called a skew field),{} \\spadignore{i.e.} a not necessarily commutative ring where all non-zero elements have multiplicative inverses.")) (|inv| (($ $) "\\spad{inv x} returns the multiplicative inverse of \\spad{x}. Error: if \\spad{x} is 0.")) (^ (($ $ (|Integer|)) "\\spad{x^n} returns \\spad{x} raised to the integer power \\spad{n}.")) (** (($ $ (|Integer|)) "\\spad{x**n} returns \\spad{x} raised to the integer power \\spad{n}."))) 
 NIL 
 NIL 
-(-238) 
+(-239) 
 ((|constructor| (NIL "A division ring (sometimes called a skew field),{} \\spadignore{i.e.} a not necessarily commutative ring where all non-zero elements have multiplicative inverses.")) (|inv| (($ $) "\\spad{inv x} returns the multiplicative inverse of \\spad{x}. Error: if \\spad{x} is 0.")) (^ (($ $ (|Integer|)) "\\spad{x^n} returns \\spad{x} raised to the integer power \\spad{n}.")) (** (($ $ (|Integer|)) "\\spad{x**n} returns \\spad{x} raised to the integer power \\spad{n}."))) 
-((-4514 . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-239 S) 
+(-240 S) 
 ((|constructor| (NIL "A doubly-linked aggregate serves as a model for a doubly-linked list,{} that is,{} a list which can has links to both next and previous nodes and thus can be efficiently traversed in both directions.")) (|setnext!| (($ $ $) "\\spad{setnext!(u,{}v)} destructively sets the next node of doubly-linked aggregate \\spad{u} to \\spad{v},{} returning \\spad{v}.")) (|setprevious!| (($ $ $) "\\spad{setprevious!(u,{}v)} destructively sets the previous node of doubly-linked aggregate \\spad{u} to \\spad{v},{} returning \\spad{v}.")) (|concat!| (($ $ $) "\\spad{concat!(u,{}v)} destructively concatenates doubly-linked aggregate \\spad{v} to the end of doubly-linked aggregate \\spad{u}.")) (|next| (($ $) "\\spad{next(l)} returns the doubly-linked aggregate beginning with its next element. Error: if \\spad{l} has no next element. Note that \\axiom{next(\\spad{l}) = rest(\\spad{l})} and \\axiom{previous(next(\\spad{l})) = \\spad{l}}.")) (|previous| (($ $) "\\spad{previous(l)} returns the doubly-link list beginning with its previous element. Error: if \\spad{l} has no previous element. Note that \\axiom{next(previous(\\spad{l})) = \\spad{l}}.")) (|tail| (($ $) "\\spad{tail(l)} returns the doubly-linked aggregate \\spad{l} starting at its second element. Error: if \\spad{l} is empty.")) (|head| (($ $) "\\spad{head(l)} returns the first element of a doubly-linked aggregate \\spad{l}. Error: if \\spad{l} is empty.")) (|last| ((|#1| $) "\\spad{last(l)} returns the last element of a doubly-linked aggregate \\spad{l}. Error: if \\spad{l} is empty."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-240 S) 
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 ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}")) (|coerce| (((|List| |#1|) $) "\\spad{coerce(x)} returns the list of elements in \\spad{x}") (($ (|List| |#1|)) "\\spad{coerce(l)} creates a datalist from \\spad{l}"))) 
-((-4522 . T) (-4521 . T)) 
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-(-241 M) 
+((-4536 . T) (-4535 . T)) 
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+(-242 M) 
 ((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,{}a,{}p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank\\spad{'s} algorithm. Note that this is a subroutine of the function \\spadfun{discreteLog}.")) (** ((|#1| |#1| (|Integer|)) "\\spad{x ** n} returns \\spad{x} raised to the integer power \\spad{n}"))) 
 NIL 
 NIL 
-(-242 |vl| R) 
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 ((|constructor| (NIL "This type supports distributed multivariate polynomials whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
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+(-246 A R S V E) 
 ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates.")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note that an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p,{} s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p,{} s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,{} s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,{}s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note that In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note that In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-225)))) 
-(-246 R S V E) 
+((|HasCategory| |#2| (QUOTE (-226)))) 
+(-247 R S V E) 
 ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates.")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#3| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note that an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#2|) "\\spad{weight(p,{} s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#2|) "\\spad{weights(p,{} s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#2|) "\\spad{degree(p,{} s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#2|) "\\spad{order(p,{}s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#2|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note that In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#2|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note that In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) 
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+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-247 S) 
+(-248 S) 
 ((|constructor| (NIL "A dequeue is a doubly ended stack,{} that is,{} a bag where first items inserted are the first items extracted,{} at either the front or the back end of the data structure.")) (|reverse!| (($ $) "\\spad{reverse!(d)} destructively replaces \\spad{d} by its reverse dequeue,{} \\spadignore{i.e.} the top (front) element is now the bottom (back) element,{} and so on.")) (|extractBottom!| ((|#1| $) "\\spad{extractBottom!(d)} destructively extracts the bottom (back) element from the dequeue \\spad{d}. Error: if \\spad{d} is empty.")) (|extractTop!| ((|#1| $) "\\spad{extractTop!(d)} destructively extracts the top (front) element from the dequeue \\spad{d}. Error: if \\spad{d} is empty.")) (|insertBottom!| ((|#1| |#1| $) "\\spad{insertBottom!(x,{}d)} destructively inserts \\spad{x} into the dequeue \\spad{d} at the bottom (back) of the dequeue.")) (|insertTop!| ((|#1| |#1| $) "\\spad{insertTop!(x,{}d)} destructively inserts \\spad{x} into the dequeue \\spad{d},{} that is,{} at the top (front) of the dequeue. The element previously at the top of the dequeue becomes the second in the dequeue,{} and so on.")) (|bottom!| ((|#1| $) "\\spad{bottom!(d)} returns the element at the bottom (back) of the dequeue.")) (|top!| ((|#1| $) "\\spad{top!(d)} returns the element at the top (front) of the dequeue.")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(d)} returns the number of elements in dequeue \\spad{d}. Note that \\axiom{height(\\spad{d}) = \\# \\spad{d}}.")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,{}y,{}...,{}z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}.") (($) "\\spad{dequeue()}\\$\\spad{D} creates an empty dequeue of type \\spad{D}."))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-248) 
+(-249) 
 ((|constructor| (NIL "TopLevelDrawFunctionsForCompiledFunctions provides top level functions for drawing graphics of expressions.")) (|recolor| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{recolor()},{} uninteresting to top level user; exported in order to compile package.")) (|makeObject| (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(surface(f,{}g,{}h),{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(surface(f,{}g,{}h),{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(f,{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f,{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(f,{}a..b,{}c..d)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f,{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)},{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{makeObject(sp,{}curve(f,{}g,{}h),{}a..b)} returns the space \\spad{sp} of the domain \\spadtype{ThreeSpace} with the addition of the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f,{}g,{}h),{}a..b,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{makeObject(sp,{}curve(f,{}g,{}h),{}a..b)} returns the space \\spad{sp} of the domain \\spadtype{ThreeSpace} with the addition of the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f,{}g,{}h),{}a..b,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.")) (|draw| (((|ThreeDimensionalViewport|) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(surface(f,{}g,{}h),{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeDimensionalViewport|) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(surface(f,{}g,{}h),{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)} The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b,{}c..d)} draws the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}c..d,{}l)} draws the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}. and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b,{}l)} draws the graph of the parametric curve \\spad{f} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}l)} draws the graph of the parametric curve \\spad{f} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{draw(curve(f,{}g,{}h),{}a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f,{}g,{}h),{}a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{draw(curve(f,{}g),{}a..b)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f,{}g),{}a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|TwoDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}l)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied."))) 
 NIL 
 NIL 
-(-249 R |Ex|) 
+(-250 R |Ex|) 
 ((|constructor| (NIL "TopLevelDrawFunctionsForAlgebraicCurves provides top level functions for drawing non-singular algebraic curves.")) (|draw| (((|TwoDimensionalViewport|) (|Equation| |#2|) (|Symbol|) (|Symbol|) (|List| (|DrawOption|))) "\\spad{draw(f(x,{}y) = g(x,{}y),{}x,{}y,{}l)} draws the graph of a polynomial equation. The list \\spad{l} of draw options must specify a region in the plane in which the curve is to sketched."))) 
 NIL 
 NIL 
-(-250) 
+(-251) 
 ((|constructor| (NIL "\\axiomType{DrawComplex} provides some facilities for drawing complex functions.")) (|setClipValue| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{setClipValue(x)} sets to \\spad{x} the maximum value to plot when drawing complex functions. Returns \\spad{x}.")) (|setImagSteps| (((|Integer|) (|Integer|)) "\\spad{setImagSteps(i)} sets to \\spad{i} the number of steps to use in the imaginary direction when drawing complex functions. Returns \\spad{i}.")) (|setRealSteps| (((|Integer|) (|Integer|)) "\\spad{setRealSteps(i)} sets to \\spad{i} the number of steps to use in the real direction when drawing complex functions. Returns \\spad{i}.")) (|drawComplexVectorField| (((|ThreeDimensionalViewport|) (|Mapping| (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{drawComplexVectorField(f,{}rRange,{}iRange)} draws a complex vector field using arrows on the \\spad{x--y} plane. These vector fields should be viewed from the top by pressing the \"XY\" translate button on the 3-\\spad{d} viewport control panel. Sample call: \\indented{3}{\\spad{f z == sin z}} \\indented{3}{\\spad{drawComplexVectorField(f,{} -2..2,{} -2..2)}} Parameter descriptions: \\indented{2}{\\spad{f} : the function to draw} \\indented{2}{\\spad{rRange} : the range of the real values} \\indented{2}{\\spad{iRange} : the range of the imaginary values} Call the functions \\axiomFunFrom{setRealSteps}{DrawComplex} and \\axiomFunFrom{setImagSteps}{DrawComplex} to change the number of steps used in each direction.")) (|drawComplex| (((|ThreeDimensionalViewport|) (|Mapping| (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Boolean|)) "\\spad{drawComplex(f,{}rRange,{}iRange,{}arrows?)} draws a complex function as a height field. It uses the complex norm as the height and the complex argument as the color. It will optionally draw arrows on the surface indicating the direction of the complex value. Sample call: \\indented{2}{\\spad{f z == exp(1/z)}} \\indented{2}{\\spad{drawComplex(f,{} 0.3..3,{} 0..2*\\%\\spad{pi},{} false)}} Parameter descriptions: \\indented{2}{\\spad{f:}\\space{2}the function to draw} \\indented{2}{\\spad{rRange} : the range of the real values} \\indented{2}{\\spad{iRange} : the range of imaginary values} \\indented{2}{\\spad{arrows?} : a flag indicating whether to draw the phase arrows for \\spad{f}} Call the functions \\axiomFunFrom{setRealSteps}{DrawComplex} and \\axiomFunFrom{setImagSteps}{DrawComplex} to change the number of steps used in each direction."))) 
 NIL 
 NIL 
-(-251 R) 
+(-252 R) 
 ((|constructor| (NIL "Hack for the draw interface. DrawNumericHack provides a \"coercion\" from something of the form \\spad{x = a..b} where \\spad{a} and \\spad{b} are formal expressions to a binding of the form \\spad{x = c..d} where \\spad{c} and \\spad{d} are the numerical values of \\spad{a} and \\spad{b}. This \"coercion\" fails if \\spad{a} and \\spad{b} contains symbolic variables,{} but is meant for expressions involving \\%\\spad{pi}. Note that this package is meant for internal use only.")) (|coerce| (((|SegmentBinding| (|Float|)) (|SegmentBinding| (|Expression| |#1|))) "\\spad{coerce(x = a..b)} returns \\spad{x = c..d} where \\spad{c} and \\spad{d} are the numerical values of \\spad{a} and \\spad{b}."))) 
 NIL 
 NIL 
-(-252 |Ex|) 
+(-253 |Ex|) 
 ((|constructor| (NIL "TopLevelDrawFunctions provides top level functions for drawing graphics of expressions.")) (|makeObject| (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| |#1|) (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|))) "\\spad{makeObject(surface(f(u,{}v),{}g(u,{}v),{}h(u,{}v)),{}u = a..b,{}v = c..d)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{h(t)} is the default title.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| |#1|) (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(surface(f(u,{}v),{}g(u,{}v),{}h(u,{}v)),{}u = a..b,{}v = c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{h(t)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) |#1| (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|))) "\\spad{makeObject(f(x,{}y),{}x = a..b,{}y = c..d)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{f(x,{}y)} appears as the default title.") (((|ThreeSpace| (|DoubleFloat|)) |#1| (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f(x,{}y),{}x = a..b,{}y = c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{f(x,{}y)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| |#1|) (|SegmentBinding| (|Float|))) "\\spad{makeObject(curve(f(t),{}g(t),{}h(t)),{}t = a..b)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{h(t)} is the default title.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| |#1|) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f(t),{}g(t),{}h(t)),{}t = a..b,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{h(t)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.")) (|draw| (((|ThreeDimensionalViewport|) (|ParametricSurface| |#1|) (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|))) "\\spad{draw(surface(f(u,{}v),{}g(u,{}v),{}h(u,{}v)),{}u = a..b,{}v = c..d)} draws the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{h(t)} is the default title.") (((|ThreeDimensionalViewport|) (|ParametricSurface| |#1|) (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(surface(f(u,{}v),{}g(u,{}v),{}h(u,{}v)),{}u = a..b,{}v = c..d,{}l)} draws the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{h(t)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) |#1| (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|))) "\\spad{draw(f(x,{}y),{}x = a..b,{}y = c..d)} draws the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{f(x,{}y)} appears in the title bar.") (((|ThreeDimensionalViewport|) |#1| (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f(x,{}y),{}x = a..b,{}y = c..d,{}l)} draws the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; \\spad{f(x,{}y)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| |#1|) (|SegmentBinding| (|Float|))) "\\spad{draw(curve(f(t),{}g(t),{}h(t)),{}t = a..b)} draws the graph of the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{h(t)} is the default title.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| |#1|) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f(t),{}g(t),{}h(t)),{}t = a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{h(t)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| |#1|) (|SegmentBinding| (|Float|))) "\\spad{draw(curve(f(t),{}g(t)),{}t = a..b)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{(f(t),{}g(t))} appears in the title bar.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| |#1|) (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f(t),{}g(t)),{}t = a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{(f(t),{}g(t))} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) |#1| (|SegmentBinding| (|Float|))) "\\spad{draw(f(x),{}x = a..b)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{f(x)} appears in the title bar.") (((|TwoDimensionalViewport|) |#1| (|SegmentBinding| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f(x),{}x = a..b,{}l)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; \\spad{f(x)} is the default title,{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied."))) 
 NIL 
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-(-253) 
+(-254) 
 ((|constructor| (NIL "TopLevelDrawFunctionsForPoints provides top level functions for drawing curves and surfaces described by sets of points.")) (|draw| (((|ThreeDimensionalViewport|) (|List| (|DoubleFloat|)) (|List| (|DoubleFloat|)) (|List| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{draw(lx,{}ly,{}lz,{}l)} draws the surface constructed by projecting the values in the \\axiom{\\spad{lz}} list onto the rectangular grid formed by the The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|List| (|DoubleFloat|)) (|List| (|DoubleFloat|)) (|List| (|DoubleFloat|))) "\\spad{draw(lx,{}ly,{}lz)} draws the surface constructed by projecting the values in the \\axiom{\\spad{lz}} list onto the rectangular grid formed by the \\axiom{\\spad{lx} \\spad{x} \\spad{ly}}.") (((|TwoDimensionalViewport|) (|List| (|Point| (|DoubleFloat|))) (|List| (|DrawOption|))) "\\spad{draw(lp,{}l)} plots the curve constructed from the list of points \\spad{lp}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|List| (|Point| (|DoubleFloat|)))) "\\spad{draw(lp)} plots the curve constructed from the list of points \\spad{lp}.") (((|TwoDimensionalViewport|) (|List| (|DoubleFloat|)) (|List| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{draw(lx,{}ly,{}l)} plots the curve constructed of points (\\spad{x},{}\\spad{y}) for \\spad{x} in \\spad{lx} for \\spad{y} in \\spad{ly}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|List| (|DoubleFloat|)) (|List| (|DoubleFloat|))) "\\spad{draw(lx,{}ly)} plots the curve constructed of points (\\spad{x},{}\\spad{y}) for \\spad{x} in \\spad{lx} for \\spad{y} in \\spad{ly}."))) 
 NIL 
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-(-254) 
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 ((|constructor| (NIL "This package has no description")) (|units| (((|List| (|Float|)) (|List| (|DrawOption|)) (|List| (|Float|))) "\\spad{units(l,{}u)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{unit}. If the option does not exist the value,{} \\spad{u} is returned.")) (|coord| (((|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))) (|List| (|DrawOption|)) (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) "\\spad{coord(l,{}p)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{coord}. If the option does not exist the value,{} \\spad{p} is returned.")) (|tubeRadius| (((|Float|) (|List| (|DrawOption|)) (|Float|)) "\\spad{tubeRadius(l,{}n)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{tubeRadius}. If the option does not exist the value,{} \\spad{n} is returned.")) (|tubePoints| (((|PositiveInteger|) (|List| (|DrawOption|)) (|PositiveInteger|)) "\\spad{tubePoints(l,{}n)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{tubePoints}. If the option does not exist the value,{} \\spad{n} is returned.")) (|space| (((|ThreeSpace| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{space(l)} takes a list of draw options,{} \\spad{l},{} and checks to see if it contains the option \\spad{space}. If the the option doesn\\spad{'t} exist,{} then an empty space is returned.")) (|var2Steps| (((|PositiveInteger|) (|List| (|DrawOption|)) (|PositiveInteger|)) "\\spad{var2Steps(l,{}n)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{var2Steps}. If the option does not exist the value,{} \\spad{n} is returned.")) (|var1Steps| (((|PositiveInteger|) (|List| (|DrawOption|)) (|PositiveInteger|)) "\\spad{var1Steps(l,{}n)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{var1Steps}. If the option does not exist the value,{} \\spad{n} is returned.")) (|ranges| (((|List| (|Segment| (|Float|))) (|List| (|DrawOption|)) (|List| (|Segment| (|Float|)))) "\\spad{ranges(l,{}r)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{ranges}. If the option does not exist the value,{} \\spad{r} is returned.")) (|curveColorPalette| (((|Palette|) (|List| (|DrawOption|)) (|Palette|)) "\\spad{curveColorPalette(l,{}p)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{curveColorPalette}. If the option does not exist the value,{} \\spad{p} is returned.")) (|pointColorPalette| (((|Palette|) (|List| (|DrawOption|)) (|Palette|)) "\\spad{pointColorPalette(l,{}p)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{pointColorPalette}. If the option does not exist the value,{} \\spad{p} is returned.")) (|toScale| (((|Boolean|) (|List| (|DrawOption|)) (|Boolean|)) "\\spad{toScale(l,{}b)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{toScale}. If the option does not exist the value,{} \\spad{b} is returned.")) (|style| (((|String|) (|List| (|DrawOption|)) (|String|)) "\\spad{style(l,{}s)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{style}. If the option does not exist the value,{} \\spad{s} is returned.")) (|title| (((|String|) (|List| (|DrawOption|)) (|String|)) "\\spad{title(l,{}s)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{title}. If the option does not exist the value,{} \\spad{s} is returned.")) (|viewpoint| (((|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|))) (|List| (|DrawOption|)) (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) "\\spad{viewpoint(l,{}ls)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{viewpoint}. IF the option does not exist,{} the value \\spad{ls} is returned.")) (|clipBoolean| (((|Boolean|) (|List| (|DrawOption|)) (|Boolean|)) "\\spad{clipBoolean(l,{}b)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{clipBoolean}. If the option does not exist the value,{} \\spad{b} is returned.")) (|adaptive| (((|Boolean|) (|List| (|DrawOption|)) (|Boolean|)) "\\spad{adaptive(l,{}b)} takes the list of draw options,{} \\spad{l},{} and checks the list to see if it contains the option \\spad{adaptive}. If the option does not exist the value,{} \\spad{b} is returned."))) 
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 ((|constructor| (NIL "This package has no description")) (|option| (((|Union| |#1| "failed") (|List| (|DrawOption|)) (|Symbol|)) "\\spad{option(l,{}s)} determines whether the indicated drawing option,{} \\spad{s},{} is contained in the list of drawing options,{} \\spad{l},{} which is defined by the draw command."))) 
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 ((|constructor| (NIL "DrawOption allows the user to specify defaults for the creation and rendering of plots.")) (|option?| (((|Boolean|) (|List| $) (|Symbol|)) "\\spad{option?()} is not to be used at the top level; option? internally returns \\spad{true} for drawing options which are indicated in a draw command,{} or \\spad{false} for those which are not.")) (|option| (((|Union| (|Any|) "failed") (|List| $) (|Symbol|)) "\\spad{option()} is not to be used at the top level; option determines internally which drawing options are indicated in a draw command.")) (|unit| (($ (|List| (|Float|))) "\\spad{unit(lf)} will mark off the units according to the indicated list \\spad{lf}. This option is expressed in the form \\spad{unit == [f1,{}f2]}.")) (|coord| (($ (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) "\\spad{coord(p)} specifies a change of coordinates of point \\spad{p}. This option is expressed in the form \\spad{coord == p}.")) (|tubePoints| (($ (|PositiveInteger|)) "\\spad{tubePoints(n)} specifies the number of points,{} \\spad{n},{} defining the circle which creates the tube around a 3D curve,{} the default is 6. This option is expressed in the form \\spad{tubePoints == n}.")) (|var2Steps| (($ (|PositiveInteger|)) "\\spad{var2Steps(n)} indicates the number of subdivisions,{} \\spad{n},{} of the second range variable. This option is expressed in the form \\spad{var2Steps == n}.")) (|var1Steps| (($ (|PositiveInteger|)) "\\spad{var1Steps(n)} indicates the number of subdivisions,{} \\spad{n},{} of the first range variable. This option is expressed in the form \\spad{var1Steps == n}.")) (|space| (($ (|ThreeSpace| (|DoubleFloat|))) "\\spad{space specifies} the space into which we will draw. If none is given then a new space is created.")) (|ranges| (($ (|List| (|Segment| (|Float|)))) "\\spad{ranges(l)} provides a list of user-specified ranges \\spad{l}. This option is expressed in the form \\spad{ranges == l}.")) (|range| (($ (|List| (|Segment| (|Fraction| (|Integer|))))) "\\spad{range([i])} provides a user-specified range \\spad{i}. This option is expressed in the form \\spad{range == [i]}.") (($ (|List| (|Segment| (|Float|)))) "\\spad{range([l])} provides a user-specified range \\spad{l}. This option is expressed in the form \\spad{range == [l]}.")) (|tubeRadius| (($ (|Float|)) "\\spad{tubeRadius(r)} specifies a radius,{} \\spad{r},{} for a tube plot around a 3D curve; is expressed in the form \\spad{tubeRadius == 4}.")) (|colorFunction| (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{colorFunction(f(x,{}y,{}z))} specifies the color for three dimensional plots as a function of \\spad{x},{} \\spad{y},{} and \\spad{z} coordinates. This option is expressed in the form \\spad{colorFunction == f(x,{}y,{}z)}.") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{colorFunction(f(u,{}v))} specifies the color for three dimensional plots as a function based upon the two parametric variables. This option is expressed in the form \\spad{colorFunction == f(u,{}v)}.") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) "\\spad{colorFunction(f(z))} specifies the color based upon the \\spad{z}-component of three dimensional plots. This option is expressed in the form \\spad{colorFunction == f(z)}.")) (|curveColor| (($ (|Palette|)) "\\spad{curveColor(p)} specifies a color index for 2D graph curves from the spadcolors palette \\spad{p}. This option is expressed in the form \\spad{curveColor ==p}.") (($ (|Float|)) "\\spad{curveColor(v)} specifies a color,{} \\spad{v},{} for 2D graph curves. This option is expressed in the form \\spad{curveColor == v}.")) (|pointColor| (($ (|Palette|)) "\\spad{pointColor(p)} specifies a color index for 2D graph points from the spadcolors palette \\spad{p}. This option is expressed in the form \\spad{pointColor == p}.") (($ (|Float|)) "\\spad{pointColor(v)} specifies a color,{} \\spad{v},{} for 2D graph points. This option is expressed in the form \\spad{pointColor == v}.")) (|coordinates| (($ (|Mapping| (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)))) "\\spad{coordinates(p)} specifies a change of coordinate systems of point \\spad{p}. This option is expressed in the form \\spad{coordinates == p}.")) (|toScale| (($ (|Boolean|)) "\\spad{toScale(b)} specifies whether or not a plot is to be drawn to scale; if \\spad{b} is \\spad{true} it is drawn to scale,{} if \\spad{b} is \\spad{false} it is not. This option is expressed in the form \\spad{toScale == b}.")) (|style| (($ (|String|)) "\\spad{style(s)} specifies the drawing style in which the graph will be plotted by the indicated string \\spad{s}. This option is expressed in the form \\spad{style == s}.")) (|title| (($ (|String|)) "\\spad{title(s)} specifies a title for a plot by the indicated string \\spad{s}. This option is expressed in the form \\spad{title == s}.")) (|viewpoint| (($ (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) "\\spad{viewpoint(vp)} creates a viewpoint data structure corresponding to the list of values. The values are interpreted as [theta,{} phi,{} scale,{} scaleX,{} scaleY,{} scaleZ,{} deltaX,{} deltaY]. This option is expressed in the form \\spad{viewpoint == ls}.")) (|clip| (($ (|List| (|Segment| (|Float|)))) "\\spad{clip([l])} provides ranges for user-defined clipping as specified in the list \\spad{l}. This option is expressed in the form \\spad{clip == [l]}.") (($ (|Boolean|)) "\\spad{clip(b)} turns 2D clipping on if \\spad{b} is \\spad{true},{} or off if \\spad{b} is \\spad{false}. This option is expressed in the form \\spad{clip == b}.")) (|adaptive| (($ (|Boolean|)) "\\spad{adaptive(b)} turns adaptive 2D plotting on if \\spad{b} is \\spad{true},{} or off if \\spad{b} is \\spad{false}. This option is expressed in the form \\spad{adaptive == b}."))) 
 NIL 
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-(-257 R S V) 
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 ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}."))) 
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+((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#3| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#3| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#3| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#3| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#3| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#1| (QUOTE -4533)) (|HasCategory| |#1| (QUOTE (-454))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-259 S) 
 ((|constructor| (NIL "This category is part of the PAFF package")) (|tree| (($ (|List| |#1|)) "\\spad{tree(l)} creates a chain tree from the list \\spad{l}") (($ |#1|) "\\spad{tree(nd)} creates a tree with value \\spad{nd},{} and no children") (($ |#1| (|List| $)) "\\spad{tree(nd,{}ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-259 S) 
+(-260 S) 
 ((|constructor| (NIL "This category is part of the PAFF package")) (|fullOutput| (((|Boolean|)) "\\spad{fullOutput returns} the value of the flag set by fullOutput(\\spad{b}).") (((|Boolean|) (|Boolean|)) "\\spad{fullOutput(b)} sets a flag such that when \\spad{true},{} a coerce to OutputForm yields the full output of \\spad{tr},{} otherwise encode(\\spad{tr}) is output (see encode function). The default is \\spad{false}.")) (|fullOut| (((|OutputForm|) $) "\\spad{fullOut(tr)} yields a full output of \\spad{tr} (see function fullOutput).")) (|encode| (((|String|) $) "\\spad{encode(t)} returns a string indicating the \"shape\" of the tree"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-260 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR |InfClsPoint| |DesTree| BLMET) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-261 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR |InfClsPoint| |DesTree| BLMET) 
 ((|constructor| (NIL "\\indented{1}{The following is all the categories,{} domains and package} used for the desingularisation be means of monoidal transformation (Blowing-up)")) (|genusTreeNeg| (((|Integer|) (|NonNegativeInteger|) (|List| |#10|)) "\\spad{genusTreeNeg(n,{}listOfTrees)} computes the \"genus\" of a curve that may be not absolutly irreducible,{} where \\spad{n} is the degree of a polynomial pol defining the curve and \\spad{listOfTrees} is all the desingularisation trees at all singular points on the curve defined by pol. A \"negative\" genus means that the curve is reducible \\spad{!!}.")) (|genusTree| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|List| |#10|)) "\\spad{genusTree(n,{}listOfTrees)} computes the genus of a curve,{} where \\spad{n} is the degree of a polynomial pol defining the curve and \\spad{listOfTrees} is all the desingularisation trees at all singular points on the curve defined by pol.")) (|genusNeg| (((|Integer|) |#3|) "\\spad{genusNeg(pol)} computes the \"genus\" of a curve that may be not absolutly irreducible. A \"negative\" genus means that the curve is reducible \\spad{!!}.")) (|genus| (((|NonNegativeInteger|) |#3|) "\\spad{genus(pol)} computes the genus of the curve defined by \\spad{pol}.")) (|initializeParamOfPlaces| (((|Void|) |#10| (|List| |#3|)) "initParLocLeaves(\\spad{tr},{}listOfFnc) initialize the local parametrization at places corresponding to the leaves of \\spad{tr} according to the given list of functions in listOfFnc.") (((|Void|) |#10|) "initParLocLeaves(\\spad{tr}) initialize the local parametrization at places corresponding to the leaves of \\spad{tr}.")) (|initParLocLeaves| (((|Void|) |#10|) "\\spad{initParLocLeaves(tr)} initialize the local parametrization at simple points corresponding to the leaves of \\spad{tr}.")) (|fullParamInit| (((|Void|) |#10|) "\\spad{fullParamInit(tr)} initialize the local parametrization at all places (leaves of \\spad{tr}),{} computes the local exceptional divisor at each infinytly close points in the tree. This function is equivalent to the following called: initParLocLeaves(\\spad{tr}) initializeParamOfPlaces(\\spad{tr}) blowUpWithExcpDiv(\\spad{tr})")) (|desingTree| (((|List| |#10|) |#3|) "\\spad{desingTree(pol)} returns all the desingularisation trees of all singular points on the curve defined by \\spad{pol}.")) (|desingTreeAtPoint| ((|#10| |#5| |#3|) "\\spad{desingTreeAtPoint(pt,{}pol)} computes the desingularisation tree at the point \\spad{pt} on the curve defined by \\spad{pol}. This function recursively compute the tree.")) (|adjunctionDivisor| ((|#8| |#10|) "\\spad{adjunctionDivisor(tr)} compute the local adjunction divisor of a desingularisation tree \\spad{tr} of a singular point.")) (|divisorAtDesingTree| ((|#8| |#3| |#10|) "\\spad{divisorAtDesingTree(f,{}tr)} computes the local divisor of \\spad{f} at a desingularisation tree \\spad{tr} of a singular point."))) 
 NIL 
 NIL 
-(-261 A S) 
+(-262 A S) 
 ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note that in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(v,{} n)} returns the \\spad{n}-th derivative of \\spad{v}.") (($ $) "\\spad{differentiate(v)} returns the derivative of \\spad{v}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s,{} n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) 
 NIL 
 NIL 
-(-262 S) 
+(-263 S) 
 ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note that in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#1|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(v,{} n)} returns the \\spad{n}-th derivative of \\spad{v}.") (($ $) "\\spad{differentiate(v)} returns the derivative of \\spad{v}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#1| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#1| (|NonNegativeInteger|)) "\\spad{makeVariable(s,{} n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) 
 NIL 
 NIL 
-(-263) 
+(-264) 
 ((|constructor| (NIL "\\axiomType{e04AgentsPackage} is a package of numerical agents to be used to investigate attributes of an input function so as to decide the \\axiomFun{measure} of an appropriate numerical optimization routine.")) (|optAttributes| (((|List| (|String|)) (|Union| (|:| |noa| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|:| |lsa| (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))))) "\\spad{optAttributes(o)} is a function for supplying a list of attributes of an optimization problem.")) (|expenseOfEvaluation| (((|Float|) (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) "\\spad{expenseOfEvaluation(o)} returns the intensity value of the cost of evaluating the input set of functions. This is in terms of the number of ``operational units\\spad{''}. It returns a value in the range [0,{}1].")) (|changeNameToObjf| (((|Result|) (|Symbol|) (|Result|)) "\\spad{changeNameToObjf(s,{}r)} changes the name of item \\axiom{\\spad{s}} in \\axiom{\\spad{r}} to objf.")) (|varList| (((|List| (|Symbol|)) (|Expression| (|DoubleFloat|)) (|NonNegativeInteger|)) "\\spad{varList(e,{}n)} returns a list of \\axiom{\\spad{n}} indexed variables with name as in \\axiom{\\spad{e}}.")) (|variables| (((|List| (|Symbol|)) (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) "\\spad{variables(args)} returns the list of variables in \\axiom{\\spad{args}.\\spad{lfn}}")) (|quadratic?| (((|Boolean|) (|Expression| (|DoubleFloat|))) "\\spad{quadratic?(e)} tests if \\axiom{\\spad{e}} is a quadratic function.")) (|nonLinearPart| (((|List| (|Expression| (|DoubleFloat|))) (|List| (|Expression| (|DoubleFloat|)))) "\\spad{nonLinearPart(l)} returns the list of non-linear functions of \\spad{l}.")) (|linearPart| (((|List| (|Expression| (|DoubleFloat|))) (|List| (|Expression| (|DoubleFloat|)))) "\\spad{linearPart(l)} returns the list of linear functions of \\axiom{\\spad{l}}.")) (|linearMatrix| (((|Matrix| (|DoubleFloat|)) (|List| (|Expression| (|DoubleFloat|))) (|NonNegativeInteger|)) "\\spad{linearMatrix(l,{}n)} returns a matrix of coefficients of the linear functions in \\axiom{\\spad{l}}. If \\spad{l} is empty,{} the matrix has at least one row.")) (|linear?| (((|Boolean|) (|Expression| (|DoubleFloat|))) "\\spad{linear?(e)} tests if \\axiom{\\spad{e}} is a linear function.") (((|Boolean|) (|List| (|Expression| (|DoubleFloat|)))) "\\spad{linear?(l)} returns \\spad{true} if all the bounds \\spad{l} are either linear or simple.")) (|simpleBounds?| (((|Boolean|) (|List| (|Expression| (|DoubleFloat|)))) "\\spad{simpleBounds?(l)} returns \\spad{true} if the list of expressions \\spad{l} are simple.")) (|splitLinear| (((|Expression| (|DoubleFloat|)) (|Expression| (|DoubleFloat|))) "\\spad{splitLinear(f)} splits the linear part from an expression which it returns.")) (|sumOfSquares| (((|Union| (|Expression| (|DoubleFloat|)) "failed") (|Expression| (|DoubleFloat|))) "\\spad{sumOfSquares(f)} returns either an expression for which the square is the original function of \"failed\".")) (|sortConstraints| (((|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|))))) (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) "\\spad{sortConstraints(args)} uses a simple bubblesort on the list of constraints using the degree of the expression on which to sort. Of course,{} it must match the bounds to the constraints.")) (|finiteBound| (((|List| (|DoubleFloat|)) (|List| (|OrderedCompletion| (|DoubleFloat|))) (|DoubleFloat|)) "\\spad{finiteBound(l,{}b)} repaces all instances of an infinite entry in \\axiom{\\spad{l}} by a finite entry \\axiom{\\spad{b}} or \\axiom{\\spad{-b}}."))) 
 NIL 
 NIL 
-(-264) 
+(-265) 
 ((|constructor| (NIL "\\axiomType{e04dgfAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04DGF,{} a general optimization routine which can handle some singularities in the input function. The function \\axiomFun{measure} measures the usefulness of the routine E04DGF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-265) 
+(-266) 
 ((|constructor| (NIL "\\axiomType{e04fdfAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04FDF,{} a general optimization routine which can handle some singularities in the input function. The function \\axiomFun{measure} measures the usefulness of the routine E04FDF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-266) 
+(-267) 
 ((|constructor| (NIL "\\axiomType{e04gcfAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04GCF,{} a general optimization routine which can handle some singularities in the input function. The function \\axiomFun{measure} measures the usefulness of the routine E04GCF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-267) 
+(-268) 
 ((|constructor| (NIL "\\axiomType{e04jafAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04JAF,{} a general optimization routine which can handle some singularities in the input function. The function \\axiomFun{measure} measures the usefulness of the routine E04JAF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-268) 
+(-269) 
 ((|constructor| (NIL "\\axiomType{e04mbfAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04MBF,{} an optimization routine for Linear functions. The function \\axiomFun{measure} measures the usefulness of the routine E04MBF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-269) 
+(-270) 
 ((|constructor| (NIL "\\axiomType{e04nafAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04NAF,{} an optimization routine for Quadratic functions. The function \\axiomFun{measure} measures the usefulness of the routine E04NAF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-270) 
+(-271) 
 ((|constructor| (NIL "\\axiomType{e04ucfAnnaType} is a domain of \\axiomType{NumericalOptimization} for the NAG routine E04UCF,{} a general optimization routine which can handle some singularities in the input function. The function \\axiomFun{measure} measures the usefulness of the routine E04UCF for the given problem. The function \\axiomFun{numericalOptimization} performs the optimization by using \\axiomType{NagOptimisationPackage}."))) 
 NIL 
 NIL 
-(-271) 
+(-272) 
 ((|constructor| (NIL "A domain used in the construction of the exterior algebra on a set \\spad{X} over a ring \\spad{R}. This domain represents the set of all ordered subsets of the set \\spad{X},{} assumed to be in correspondance with {1,{}2,{}3,{} ...}. The ordered subsets are themselves ordered lexicographically and are in bijective correspondance with an ordered basis of the exterior algebra. In this domain we are dealing strictly with the exponents of basis elements which can only be 0 or 1. \\blankline The multiplicative identity element of the exterior algebra corresponds to the empty subset of \\spad{X}. A coerce from List Integer to an ordered basis element is provided to allow the convenient input of expressions. Another exported function forgets the ordered structure and simply returns the list corresponding to an ordered subset.")) (|Nul| (($ (|NonNegativeInteger|)) "\\spad{Nul()} gives the basis element 1 for the algebra generated by \\spad{n} generators.")) (|exponents| (((|List| (|Integer|)) $) "\\spad{exponents(x)} converts a domain element into a list of zeros and ones corresponding to the exponents in the basis element that \\spad{x} represents.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(x)} gives the numbers of 1\\spad{'s} in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0\\spad{'s} and 1\\spad{'s} into a basis element,{} where 1 (respectively 0) designates that the variable of the corresponding index of \\spad{l} is (respectively,{} is not) present. Error: if an element of \\spad{l} is not 0 or 1."))) 
 NIL 
 NIL 
-(-272 R -1478) 
+(-273 R -1564) 
 ((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,{}l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{\\spad{pi}()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}"))) 
 NIL 
 NIL 
-(-273 R -1478) 
+(-274 R -1564) 
 ((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,{}a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f,{} k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,{}...,{}kn],{}f,{}x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,{}x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log,{} exp,{} tan,{} atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log,{} exp,{} tan,{} atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f,{} x)} returns \\spad{[g,{} [k1,{}...,{}kn],{} [h1,{}...,{}hn]]} such that \\spad{g = normalize(f,{} x)} and each \\spad{\\spad{ki}} was rewritten as \\spad{\\spad{hi}} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f,{} x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels."))) 
 NIL 
 NIL 
-(-274 |Coef| UTS ULS) 
+(-275 |Coef| UTS ULS) 
 ((|constructor| (NIL "This package provides elementary functions on any Laurent series domain over a field which was constructed from a Taylor series domain. These functions are implemented by calling the corresponding functions on the Taylor series domain. We also provide 'partial functions' which compute transcendental functions of Laurent series when possible and return \"failed\" when this is not possible.")) (|acsch| ((|#3| |#3|) "\\spad{acsch(z)} returns the inverse hyperbolic cosecant of Laurent series \\spad{z}.")) (|asech| ((|#3| |#3|) "\\spad{asech(z)} returns the inverse hyperbolic secant of Laurent series \\spad{z}.")) (|acoth| ((|#3| |#3|) "\\spad{acoth(z)} returns the inverse hyperbolic cotangent of Laurent series \\spad{z}.")) (|atanh| ((|#3| |#3|) "\\spad{atanh(z)} returns the inverse hyperbolic tangent of Laurent series \\spad{z}.")) (|acosh| ((|#3| |#3|) "\\spad{acosh(z)} returns the inverse hyperbolic cosine of Laurent series \\spad{z}.")) (|asinh| ((|#3| |#3|) "\\spad{asinh(z)} returns the inverse hyperbolic sine of Laurent series \\spad{z}.")) (|csch| ((|#3| |#3|) "\\spad{csch(z)} returns the hyperbolic cosecant of Laurent series \\spad{z}.")) (|sech| ((|#3| |#3|) "\\spad{sech(z)} returns the hyperbolic secant of Laurent series \\spad{z}.")) (|coth| ((|#3| |#3|) "\\spad{coth(z)} returns the hyperbolic cotangent of Laurent series \\spad{z}.")) (|tanh| ((|#3| |#3|) "\\spad{tanh(z)} returns the hyperbolic tangent of Laurent series \\spad{z}.")) (|cosh| ((|#3| |#3|) "\\spad{cosh(z)} returns the hyperbolic cosine of Laurent series \\spad{z}.")) (|sinh| ((|#3| |#3|) "\\spad{sinh(z)} returns the hyperbolic sine of Laurent series \\spad{z}.")) (|acsc| ((|#3| |#3|) "\\spad{acsc(z)} returns the arc-cosecant of Laurent series \\spad{z}.")) (|asec| ((|#3| |#3|) "\\spad{asec(z)} returns the arc-secant of Laurent series \\spad{z}.")) (|acot| ((|#3| |#3|) "\\spad{acot(z)} returns the arc-cotangent of Laurent series \\spad{z}.")) (|atan| ((|#3| |#3|) "\\spad{atan(z)} returns the arc-tangent of Laurent series \\spad{z}.")) (|acos| ((|#3| |#3|) "\\spad{acos(z)} returns the arc-cosine of Laurent series \\spad{z}.")) (|asin| ((|#3| |#3|) "\\spad{asin(z)} returns the arc-sine of Laurent series \\spad{z}.")) (|csc| ((|#3| |#3|) "\\spad{csc(z)} returns the cosecant of Laurent series \\spad{z}.")) (|sec| ((|#3| |#3|) "\\spad{sec(z)} returns the secant of Laurent series \\spad{z}.")) (|cot| ((|#3| |#3|) "\\spad{cot(z)} returns the cotangent of Laurent series \\spad{z}.")) (|tan| ((|#3| |#3|) "\\spad{tan(z)} returns the tangent of Laurent series \\spad{z}.")) (|cos| ((|#3| |#3|) "\\spad{cos(z)} returns the cosine of Laurent series \\spad{z}.")) (|sin| ((|#3| |#3|) "\\spad{sin(z)} returns the sine of Laurent series \\spad{z}.")) (|log| ((|#3| |#3|) "\\spad{log(z)} returns the logarithm of Laurent series \\spad{z}.")) (|exp| ((|#3| |#3|) "\\spad{exp(z)} returns the exponential of Laurent series \\spad{z}.")) (** ((|#3| |#3| (|Fraction| (|Integer|))) "\\spad{s ** r} raises a Laurent series \\spad{s} to a rational power \\spad{r}"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365)))) 
-(-275 |Coef| ULS UPXS EFULS) 
+((|HasCategory| |#1| (QUOTE (-366)))) 
+(-276 |Coef| ULS UPXS EFULS) 
 ((|constructor| (NIL "This package provides elementary functions on any Laurent series domain over a field which was constructed from a Taylor series domain. These functions are implemented by calling the corresponding functions on the Taylor series domain. We also provide 'partial functions' which compute transcendental functions of Laurent series when possible and return \"failed\" when this is not possible.")) (|acsch| ((|#3| |#3|) "\\spad{acsch(z)} returns the inverse hyperbolic cosecant of a Puiseux series \\spad{z}.")) (|asech| ((|#3| |#3|) "\\spad{asech(z)} returns the inverse hyperbolic secant of a Puiseux series \\spad{z}.")) (|acoth| ((|#3| |#3|) "\\spad{acoth(z)} returns the inverse hyperbolic cotangent of a Puiseux series \\spad{z}.")) (|atanh| ((|#3| |#3|) "\\spad{atanh(z)} returns the inverse hyperbolic tangent of a Puiseux series \\spad{z}.")) (|acosh| ((|#3| |#3|) "\\spad{acosh(z)} returns the inverse hyperbolic cosine of a Puiseux series \\spad{z}.")) (|asinh| ((|#3| |#3|) "\\spad{asinh(z)} returns the inverse hyperbolic sine of a Puiseux series \\spad{z}.")) (|csch| ((|#3| |#3|) "\\spad{csch(z)} returns the hyperbolic cosecant of a Puiseux series \\spad{z}.")) (|sech| ((|#3| |#3|) "\\spad{sech(z)} returns the hyperbolic secant of a Puiseux series \\spad{z}.")) (|coth| ((|#3| |#3|) "\\spad{coth(z)} returns the hyperbolic cotangent of a Puiseux series \\spad{z}.")) (|tanh| ((|#3| |#3|) "\\spad{tanh(z)} returns the hyperbolic tangent of a Puiseux series \\spad{z}.")) (|cosh| ((|#3| |#3|) "\\spad{cosh(z)} returns the hyperbolic cosine of a Puiseux series \\spad{z}.")) (|sinh| ((|#3| |#3|) "\\spad{sinh(z)} returns the hyperbolic sine of a Puiseux series \\spad{z}.")) (|acsc| ((|#3| |#3|) "\\spad{acsc(z)} returns the arc-cosecant of a Puiseux series \\spad{z}.")) (|asec| ((|#3| |#3|) "\\spad{asec(z)} returns the arc-secant of a Puiseux series \\spad{z}.")) (|acot| ((|#3| |#3|) "\\spad{acot(z)} returns the arc-cotangent of a Puiseux series \\spad{z}.")) (|atan| ((|#3| |#3|) "\\spad{atan(z)} returns the arc-tangent of a Puiseux series \\spad{z}.")) (|acos| ((|#3| |#3|) "\\spad{acos(z)} returns the arc-cosine of a Puiseux series \\spad{z}.")) (|asin| ((|#3| |#3|) "\\spad{asin(z)} returns the arc-sine of a Puiseux series \\spad{z}.")) (|csc| ((|#3| |#3|) "\\spad{csc(z)} returns the cosecant of a Puiseux series \\spad{z}.")) (|sec| ((|#3| |#3|) "\\spad{sec(z)} returns the secant of a Puiseux series \\spad{z}.")) (|cot| ((|#3| |#3|) "\\spad{cot(z)} returns the cotangent of a Puiseux series \\spad{z}.")) (|tan| ((|#3| |#3|) "\\spad{tan(z)} returns the tangent of a Puiseux series \\spad{z}.")) (|cos| ((|#3| |#3|) "\\spad{cos(z)} returns the cosine of a Puiseux series \\spad{z}.")) (|sin| ((|#3| |#3|) "\\spad{sin(z)} returns the sine of a Puiseux series \\spad{z}.")) (|log| ((|#3| |#3|) "\\spad{log(z)} returns the logarithm of a Puiseux series \\spad{z}.")) (|exp| ((|#3| |#3|) "\\spad{exp(z)} returns the exponential of a Puiseux series \\spad{z}.")) (** ((|#3| |#3| (|Fraction| (|Integer|))) "\\spad{z ** r} raises a Puiseaux series \\spad{z} to a rational power \\spad{r}"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365)))) 
-(-276 A S) 
+((|HasCategory| |#1| (QUOTE (-366)))) 
+(-277 A S) 
 ((|constructor| (NIL "An extensible aggregate is one which allows insertion and deletion of entries. These aggregates are models of lists and streams which are represented by linked structures so as to make insertion,{} deletion,{} and concatenation efficient. However,{} access to elements of these extensible aggregates is generally slow since access is made from the end. See \\spadtype{FlexibleArray} for an exception.")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(u)} destructively removes duplicates from \\spad{u}.")) (|select!| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{select!(p,{}u)} destructively changes \\spad{u} by keeping only values \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})}.")) (|merge!| (($ $ $) "\\spad{merge!(u,{}v)} destructively merges \\spad{u} and \\spad{v} in ascending order.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $ $) "\\spad{merge!(p,{}u,{}v)} destructively merges \\spad{u} and \\spad{v} using predicate \\spad{p}.")) (|insert!| (($ $ $ (|Integer|)) "\\spad{insert!(v,{}u,{}i)} destructively inserts aggregate \\spad{v} into \\spad{u} at position \\spad{i}.") (($ |#2| $ (|Integer|)) "\\spad{insert!(x,{}u,{}i)} destructively inserts \\spad{x} into \\spad{u} at position \\spad{i}.")) (|remove!| (($ |#2| $) "\\spad{remove!(x,{}u)} destructively removes all values \\spad{x} from \\spad{u}.") (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{remove!(p,{}u)} destructively removes all elements \\spad{x} of \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.")) (|delete!| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete!(u,{}i..j)} destructively deletes elements \\spad{u}.\\spad{i} through \\spad{u}.\\spad{j}.") (($ $ (|Integer|)) "\\indented{1}{delete!(\\spad{u},{}\\spad{i}) destructively deletes the \\axiom{\\spad{i}}th element of \\spad{u}.} \\blankline \\spad{E} Data:=Record(age:Integer,{}gender:String) \\spad{E} a1:AssociationList(String,{}Data):=table() \\spad{E} \\spad{a1}.\"tim\":=[55,{}\"male\"]\\$Data \\spad{E} delete!(\\spad{a1},{}1)")) (|concat!| (($ $ $) "\\spad{concat!(u,{}v)} destructively appends \\spad{v} to the end of \\spad{u}. \\spad{v} is unchanged") (($ $ |#2|) "\\spad{concat!(u,{}x)} destructively adds element \\spad{x} to the end of \\spad{u}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090)))) 
-(-277 S) 
+((|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091)))) 
+(-278 S) 
 ((|constructor| (NIL "An extensible aggregate is one which allows insertion and deletion of entries. These aggregates are models of lists and streams which are represented by linked structures so as to make insertion,{} deletion,{} and concatenation efficient. However,{} access to elements of these extensible aggregates is generally slow since access is made from the end. See \\spadtype{FlexibleArray} for an exception.")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(u)} destructively removes duplicates from \\spad{u}.")) (|select!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select!(p,{}u)} destructively changes \\spad{u} by keeping only values \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})}.")) (|merge!| (($ $ $) "\\spad{merge!(u,{}v)} destructively merges \\spad{u} and \\spad{v} in ascending order.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $ $) "\\spad{merge!(p,{}u,{}v)} destructively merges \\spad{u} and \\spad{v} using predicate \\spad{p}.")) (|insert!| (($ $ $ (|Integer|)) "\\spad{insert!(v,{}u,{}i)} destructively inserts aggregate \\spad{v} into \\spad{u} at position \\spad{i}.") (($ |#1| $ (|Integer|)) "\\spad{insert!(x,{}u,{}i)} destructively inserts \\spad{x} into \\spad{u} at position \\spad{i}.")) (|remove!| (($ |#1| $) "\\spad{remove!(x,{}u)} destructively removes all values \\spad{x} from \\spad{u}.") (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove!(p,{}u)} destructively removes all elements \\spad{x} of \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.")) (|delete!| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete!(u,{}i..j)} destructively deletes elements \\spad{u}.\\spad{i} through \\spad{u}.\\spad{j}.") (($ $ (|Integer|)) "\\indented{1}{delete!(\\spad{u},{}\\spad{i}) destructively deletes the \\axiom{\\spad{i}}th element of \\spad{u}.} \\blankline \\spad{E} Data:=Record(age:Integer,{}gender:String) \\spad{E} a1:AssociationList(String,{}Data):=table() \\spad{E} \\spad{a1}.\"tim\":=[55,{}\"male\"]\\$Data \\spad{E} delete!(\\spad{a1},{}1)")) (|concat!| (($ $ $) "\\spad{concat!(u,{}v)} destructively appends \\spad{v} to the end of \\spad{u}. \\spad{v} is unchanged") (($ $ |#1|) "\\spad{concat!(u,{}x)} destructively adds element \\spad{x} to the end of \\spad{u}."))) 
-((-4522 . T) (-3973 . T)) 
+((-4536 . T) (-2982 . T)) 
 NIL 
-(-278 S) 
+(-279 S) 
 ((|constructor| (NIL "Category for the elementary functions.")) (** (($ $ $) "\\spad{x**y} returns \\spad{x} to the power \\spad{y}.")) (|exp| (($ $) "\\spad{exp(x)} returns \\%\\spad{e} to the power \\spad{x}.")) (|log| (($ $) "\\spad{log(x)} returns the natural logarithm of \\spad{x}."))) 
 NIL 
 NIL 
-(-279) 
+(-280) 
 ((|constructor| (NIL "Category for the elementary functions.")) (** (($ $ $) "\\spad{x**y} returns \\spad{x} to the power \\spad{y}.")) (|exp| (($ $) "\\spad{exp(x)} returns \\%\\spad{e} to the power \\spad{x}.")) (|log| (($ $) "\\spad{log(x)} returns the natural logarithm of \\spad{x}."))) 
 NIL 
 NIL 
-(-280 |Coef| UTS) 
+(-281 |Coef| UTS) 
 ((|constructor| (NIL "The elliptic functions \\spad{sn},{} \\spad{sc} and \\spad{dn} are expanded as Taylor series.")) (|sncndn| (((|List| (|Stream| |#1|)) (|Stream| |#1|) |#1|) "\\spad{sncndn(s,{}c)} is used internally.")) (|dn| ((|#2| |#2| |#1|) "\\spad{dn(x,{}k)} expands the elliptic function \\spad{dn} as a Taylor \\indented{1}{series.}")) (|cn| ((|#2| |#2| |#1|) "\\spad{cn(x,{}k)} expands the elliptic function \\spad{cn} as a Taylor \\indented{1}{series.}")) (|sn| ((|#2| |#2| |#1|) "\\spad{sn(x,{}k)} expands the elliptic function \\spad{sn} as a Taylor \\indented{1}{series.}"))) 
 NIL 
 NIL 
-(-281 S |Index|) 
+(-282 S |Index|) 
 ((|constructor| (NIL "An eltable over domains \\spad{D} and \\spad{I} is a structure which can be viewed as a function from \\spad{D} to \\spad{I}. Examples of eltable structures range from data structures,{} \\spadignore{e.g.} those of type \\spadtype{List},{} to algebraic structures like \\spadtype{Polynomial}.")) (|elt| ((|#2| $ |#1|) "\\spad{elt(u,{}i)} (also written: \\spad{u} . \\spad{i}) returns the element of \\spad{u} indexed by \\spad{i}. Error: if \\spad{i} is not an index of \\spad{u}."))) 
 NIL 
 NIL 
-(-282 S |Dom| |Im|) 
+(-283 S |Dom| |Im|) 
 ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain Dom to an image domain Im.")) (|qsetelt!| ((|#3| $ |#2| |#3|) "\\spad{qsetelt!(u,{}x,{}y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#3| $ |#2| |#3|) "\\spad{setelt(u,{}x,{}y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#3| $ |#2|) "\\spad{qelt(u,{} x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#3| $ |#2| |#3|) "\\spad{elt(u,{} x,{} y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4522))) 
-(-283 |Dom| |Im|) 
+((|HasAttribute| |#1| (QUOTE -4536))) 
+(-284 |Dom| |Im|) 
 ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain Dom to an image domain Im.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,{}x,{}y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,{}x,{}y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u,{} x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u,{} x,{} y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) 
 NIL 
 NIL 
-(-284 S R |Mod| -3121 -3645 |exactQuo|) 
+(-285 S R |Mod| -2461 -3288 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} is not documented")) (|inv| (($ $) "\\spad{inv(x)} is not documented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} is not documented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} is not documented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,{}m)} is not documented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} is not documented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} is not documented"))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-285) 
+(-286) 
 ((|constructor| (NIL "Entire Rings (non-commutative Integral Domains),{} \\spadignore{i.e.} a ring not necessarily commutative which has no zero divisors. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{ab=0 => a=0 or b=0} \\spad{--} known as noZeroDivisors\\spad{\\br} \\tab{5}\\spad{not(1=0)}")) (|noZeroDivisors| ((|attribute|) "if a product is zero then one of the factors must be zero."))) 
-((-4514 . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-286 R) 
+(-287 R) 
 ((|constructor| (NIL "This is a package for the exact computation of eigenvalues and eigenvectors. This package can be made to work for matrices with coefficients which are rational functions over a ring where we can factor polynomials. Rational eigenvalues are always explicitly computed while the non-rational ones are expressed in terms of their minimal polynomial.")) (|eigenvectors| (((|List| (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| |#1|)) (|SuchThat| (|Symbol|) (|Polynomial| |#1|)))) (|:| |eigmult| (|NonNegativeInteger|)) (|:| |eigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| |#1|))))))) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{eigenvectors(m)} returns the eigenvalues and eigenvectors for the matrix \\spad{m}. The rational eigenvalues and the correspondent eigenvectors are explicitely computed,{} while the non rational ones are given via their minimal polynomial and the corresponding eigenvectors are expressed in terms of a \"generic\" root of such a polynomial.")) (|generalizedEigenvectors| (((|List| (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| |#1|)) (|SuchThat| (|Symbol|) (|Polynomial| |#1|)))) (|:| |geneigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| |#1|))))))) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{generalizedEigenvectors(m)} returns the generalized eigenvectors of the matrix \\spad{m}.")) (|generalizedEigenvector| (((|List| (|Matrix| (|Fraction| (|Polynomial| |#1|)))) (|Record| (|:| |eigval| (|Union| (|Fraction| (|Polynomial| |#1|)) (|SuchThat| (|Symbol|) (|Polynomial| |#1|)))) (|:| |eigmult| (|NonNegativeInteger|)) (|:| |eigvec| (|List| (|Matrix| (|Fraction| (|Polynomial| |#1|)))))) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{generalizedEigenvector(eigen,{}m)} returns the generalized eigenvectors of the matrix relative to the eigenvalue \\spad{eigen},{} as returned by the function eigenvectors.") (((|List| (|Matrix| (|Fraction| (|Polynomial| |#1|)))) (|Union| (|Fraction| (|Polynomial| |#1|)) (|SuchThat| (|Symbol|) (|Polynomial| |#1|))) (|Matrix| (|Fraction| (|Polynomial| |#1|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generalizedEigenvector(alpha,{}m,{}k,{}g)} returns the generalized eigenvectors of the matrix relative to the eigenvalue \\spad{alpha}. The integers \\spad{k} and \\spad{g} are respectively the algebraic and the geometric multiplicity of tye eigenvalue \\spad{alpha}. \\spad{alpha} can be either rational or not. In the seconda case apha is the minimal polynomial of the eigenvalue.")) (|eigenvector| (((|List| (|Matrix| (|Fraction| (|Polynomial| |#1|)))) (|Union| (|Fraction| (|Polynomial| |#1|)) (|SuchThat| (|Symbol|) (|Polynomial| |#1|))) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{eigenvector(eigval,{}m)} returns the eigenvectors belonging to the eigenvalue \\spad{eigval} for the matrix \\spad{m}.")) (|eigenvalues| (((|List| (|Union| (|Fraction| (|Polynomial| |#1|)) (|SuchThat| (|Symbol|) (|Polynomial| |#1|)))) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{eigenvalues(m)} returns the eigenvalues of the matrix \\spad{m} which are expressible as rational functions over the rational numbers.")) (|characteristicPolynomial| (((|Polynomial| |#1|) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{characteristicPolynomial(m)} returns the characteristicPolynomial of the matrix \\spad{m} using a new generated symbol symbol as the main variable.") (((|Polynomial| |#1|) (|Matrix| (|Fraction| (|Polynomial| |#1|))) (|Symbol|)) "\\spad{characteristicPolynomial(m,{}var)} returns the characteristicPolynomial of the matrix \\spad{m} using the symbol \\spad{var} as the main variable."))) 
 NIL 
 NIL 
-(-287 S R) 
+(-288 S R) 
 ((|constructor| (NIL "This package provides operations for mapping the sides of equations.")) (|map| (((|Equation| |#2|) (|Mapping| |#2| |#1|) (|Equation| |#1|)) "\\spad{map(f,{}eq)} returns an equation where \\spad{f} is applied to the sides of \\spad{eq}"))) 
 NIL 
 NIL 
-(-288 S) 
+(-289 S) 
 ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,{}eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations \\spad{e1} and \\spad{e2}.")) (|factorAndSplit| (((|List| $) $) "\\spad{factorAndSplit(eq)} make the right hand side 0 and factors the new left hand side. Each factor is equated to 0 and put into the resulting list without repetitions.")) (|rightOne| (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side.") (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side,{} if possible.")) (|leftOne| (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side.") (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side,{} if possible.")) (* (($ $ |#1|) "\\spad{eqn*x} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.") (($ |#1| $) "\\spad{x*eqn} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.")) (- (($ $ |#1|) "\\spad{eqn-x} produces a new equation by subtracting \\spad{x} from both sides of equation eqn.") (($ |#1| $) "\\spad{x-eqn} produces a new equation by subtracting both sides of equation eqn from \\spad{x}.")) (|rightZero| (($ $) "\\spad{rightZero(eq)} subtracts the right hand side.")) (|leftZero| (($ $) "\\spad{leftZero(eq)} subtracts the left hand side.")) (+ (($ $ |#1|) "\\spad{eqn+x} produces a new equation by adding \\spad{x} to both sides of equation eqn.") (($ |#1| $) "\\spad{x+eqn} produces a new equation by adding \\spad{x} to both sides of equation eqn.")) (|eval| (($ $ (|List| $)) "\\spad{eval(eqn,{} [x1=v1,{} ... xn=vn])} replaces \\spad{xi} by \\spad{vi} in equation \\spad{eqn}.") (($ $ $) "\\spad{eval(eqn,{} x=f)} replaces \\spad{x} by \\spad{f} in equation \\spad{eqn}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}eqn)} constructs a new equation by applying \\spad{f} to both sides of \\spad{eqn}.")) (|rhs| ((|#1| $) "\\spad{rhs(eqn)} returns the right hand side of equation \\spad{eqn}.")) (|lhs| ((|#1| $) "\\spad{lhs(eqn)} returns the left hand side of equation \\spad{eqn}.")) (|swap| (($ $) "\\spad{swap(eq)} interchanges left and right hand side of equation \\spad{eq}.")) (|equation| (($ |#1| |#1|) "\\spad{equation(a,{}b)} creates an equation.")) (= (($ |#1| |#1|) "\\spad{a=b} creates an equation."))) 
-((-4518 -2199 (|has| |#1| (-1047)) (|has| |#1| (-478))) (-4515 |has| |#1| (-1047)) (-4516 |has| |#1| (-1047))) 
-((|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-1047)))) (|HasCategory| |#1| (QUOTE (-478))) (|HasCategory| |#1| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-296))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-478)))) (-2199 (|HasCategory| |#1| (QUOTE (-478))) (|HasCategory| |#1| (QUOTE (-1047)))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-1047)))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365)))) (|HasCategory| |#1| (QUOTE (-716))) (-2199 (|HasCategory| |#1| (QUOTE (-478))) (|HasCategory| |#1| (QUOTE (-716)))) (|HasCategory| |#1| (QUOTE (-1102))) (-2199 (|HasCategory| |#1| (QUOTE (-478))) (|HasCategory| |#1| (QUOTE (-716))) (|HasCategory| |#1| (QUOTE (-1102)))) (|HasCategory| |#1| (QUOTE (-21))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-1047)))) (-2199 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-716)))) (|HasCategory| |#1| (QUOTE (-25))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-1047)))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-478))) (|HasCategory| |#1| (QUOTE (-716))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (QUOTE (-1102))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-289 |Key| |Entry|) 
+((-4532 -2232 (|has| |#1| (-1048)) (|has| |#1| (-479))) (-4529 |has| |#1| (-1048)) (-4530 |has| |#1| (-1048))) 
+((|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (QUOTE (-1048))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-1048)))) (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-297))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-479)))) (-2232 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#1| (QUOTE (-1048)))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-1048)))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366)))) (|HasCategory| |#1| (QUOTE (-717))) (-2232 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#1| (QUOTE (-717)))) (|HasCategory| |#1| (QUOTE (-1103))) (-2232 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#1| (QUOTE (-1103)))) (|HasCategory| |#1| (QUOTE (-21))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-1048)))) (-2232 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-717)))) (|HasCategory| |#1| (QUOTE (-25))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-1048)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#1| (QUOTE (-1048))) (|HasCategory| |#1| (QUOTE (-1103))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-290 |Key| |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090))))) 
-(-290) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091))))) 
+(-291) 
 ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function\\spad{\\br} \\tab{5}\\spad{f x == if x < 0 then error \"negative argument\" else x}\\spad{\\br} the call to error will actually be of the form\\spad{\\br} \\tab{5}\\spad{error(\"f\",{}\"negative argument\")}\\spad{\\br} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them):\\spad{\\br} \\spad{\\%l}\\tab{6}start a new line\\spad{\\br} \\spad{\\%b}\\tab{6}start printing in a bold font (where available)\\spad{\\br} \\spad{\\%d}\\tab{6}stop printing in a bold font (where available)\\spad{\\br} \\spad{\\%ceon}\\tab{3}start centering message lines\\spad{\\br} \\spad{\\%ceoff}\\tab{2}stop centering message lines\\spad{\\br} \\spad{\\%rjon}\\tab{3}start displaying lines \"ragged left\"\\spad{\\br} \\spad{\\%rjoff}\\tab{2}stop displaying lines \"ragged left\"\\spad{\\br} \\spad{\\%i}\\tab{6}indent following lines 3 additional spaces\\spad{\\br} \\spad{\\%u}\\tab{6}unindent following lines 3 additional spaces\\spad{\\br} \\spad{\\%xN}\\tab{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks) \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,{}lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,{}msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) 
 NIL 
 NIL 
-(-291 -1478 S) 
+(-292 -1564 S) 
 ((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f,{} p,{} k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}."))) 
 NIL 
 NIL 
-(-292 E -1478) 
+(-293 E -1564) 
 ((|constructor| (NIL "This package allows a mapping \\spad{E} \\spad{->} \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f,{} k)} returns \\spad{g = op(f(a1),{}...,{}f(an))} where \\spad{k = op(a1,{}...,{}an)}."))) 
 NIL 
 NIL 
-(-293 A B) 
+(-294 A B) 
 ((|constructor| (NIL "\\spad{ExpertSystemContinuityPackage1} exports a function to check range inclusion")) (|in?| (((|Boolean|) (|DoubleFloat|)) "\\spad{in?(p)} tests whether point \\spad{p} is internal to the range [\\spad{A..B}]"))) 
 NIL 
 NIL 
-(-294) 
+(-295) 
 ((|constructor| (NIL "ExpertSystemContinuityPackage is a package of functions for the use of domains belonging to the category \\axiomType{NumericalIntegration}.")) (|sdf2lst| (((|List| (|String|)) (|Stream| (|DoubleFloat|))) "\\spad{sdf2lst(ln)} coerces a Stream of \\axiomType{DoubleFloat} to \\axiomType{List}(\\axiomType{String})")) (|ldf2lst| (((|List| (|String|)) (|List| (|DoubleFloat|))) "\\spad{ldf2lst(ln)} coerces a List of \\axiomType{DoubleFloat} to \\axiomType{List}(\\axiomType{String})")) (|df2st| (((|String|) (|DoubleFloat|)) "\\spad{df2st(n)} coerces a \\axiomType{DoubleFloat} to \\axiomType{String}")) (|polynomialZeros| (((|List| (|DoubleFloat|)) (|Polynomial| (|Fraction| (|Integer|))) (|Symbol|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{polynomialZeros(fn,{}var,{}range)} calculates the real zeros of the polynomial which are contained in the given interval. It returns a list of points (\\axiomType{Doublefloat}) for which the univariate polynomial \\spad{fn} is zero.")) (|singularitiesOf| (((|Stream| (|DoubleFloat|)) (|Vector| (|Expression| (|DoubleFloat|))) (|List| (|Symbol|)) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{singularitiesOf(v,{}vars,{}range)} returns a list of points (\\axiomType{Doublefloat}) at which a NAG fortran version of \\spad{v} will most likely produce an error. This includes those points which evaluate to 0/0.") (((|Stream| (|DoubleFloat|)) (|Expression| (|DoubleFloat|)) (|List| (|Symbol|)) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{singularitiesOf(e,{}vars,{}range)} returns a list of points (\\axiomType{Doublefloat}) at which a NAG fortran version of \\spad{e} will most likely produce an error. This includes those points which evaluate to 0/0.")) (|zerosOf| (((|Stream| (|DoubleFloat|)) (|Expression| (|DoubleFloat|)) (|List| (|Symbol|)) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{zerosOf(e,{}vars,{}range)} returns a list of points (\\axiomType{Doublefloat}) at which a NAG fortran version of \\spad{e} will most likely produce an error.")) (|problemPoints| (((|List| (|DoubleFloat|)) (|Expression| (|DoubleFloat|)) (|Symbol|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{problemPoints(f,{}var,{}range)} returns a list of possible problem points by looking at the zeros of the denominator of the function \\spad{f} if it can be retracted to \\axiomType{Polynomial(DoubleFloat)}.")) (|functionIsFracPolynomial?| (((|Boolean|) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{functionIsFracPolynomial?(args)} tests whether the function can be retracted to \\axiomType{Fraction(Polynomial(DoubleFloat))}")) (|gethi| (((|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{gethi(u)} gets the \\axiomType{DoubleFloat} equivalent of the second endpoint of the range \\axiom{\\spad{u}}")) (|getlo| (((|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{getlo(u)} gets the \\axiomType{DoubleFloat} equivalent of the first endpoint of the range \\axiom{\\spad{u}}"))) 
 NIL 
 NIL 
-(-295 S) 
+(-296 S) 
 ((|constructor| (NIL "An expression space is a set which is closed under certain operators.")) (|odd?| (((|Boolean|) $) "\\spad{odd? x} is \\spad{true} if \\spad{x} is an odd integer.")) (|even?| (((|Boolean|) $) "\\spad{even? x} is \\spad{true} if \\spad{x} is an even integer.")) (|definingPolynomial| (($ $) "\\spad{definingPolynomial(x)} returns an expression \\spad{p} such that \\spad{p(x) = 0}.")) (|minPoly| (((|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{minPoly(k)} returns \\spad{p} such that \\spad{p(k) = 0}.")) (|eval| (($ $ (|BasicOperator|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|BasicOperator|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a1,{}..,{}am)} in \\spad{x} by \\spad{f(a1,{}..,{}am)} for any \\spad{a1},{}...,{}\\spad{am}.") (($ $ (|List| (|BasicOperator|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any \\spad{a1},{}...,{}\\spad{an}.") (($ $ (|List| (|BasicOperator|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a1,{}..,{}am)} in \\spad{x} by \\spad{f(a1,{}..,{}am)} for any \\spad{a1},{}...,{}\\spad{am}.") (($ $ (|List| (|Symbol|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any \\spad{a1},{}...,{}\\spad{an}.") (($ $ (|List| (|Symbol|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.")) (|freeOf?| (((|Boolean|) $ (|Symbol|)) "\\spad{freeOf?(x,{} s)} tests if \\spad{x} does not contain any operator whose name is \\spad{s}.") (((|Boolean|) $ $) "\\spad{freeOf?(x,{} y)} tests if \\spad{x} does not contain any occurrence of \\spad{y},{} where \\spad{y} is a single kernel.")) (|map| (($ (|Mapping| $ $) (|Kernel| $)) "\\spad{map(f,{} k)} returns \\spad{op(f(x1),{}...,{}f(xn))} where \\spad{k = op(x1,{}...,{}xn)}.")) (|kernel| (($ (|BasicOperator|) (|List| $)) "\\spad{kernel(op,{} [f1,{}...,{}fn])} constructs \\spad{op(f1,{}...,{}fn)} without evaluating it.") (($ (|BasicOperator|) $) "\\spad{kernel(op,{} x)} constructs \\spad{op}(\\spad{x}) without evaluating it.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(x,{} s)} tests if \\spad{x} is a kernel and is the name of its operator is \\spad{s}.") (((|Boolean|) $ (|BasicOperator|)) "\\spad{is?(x,{} op)} tests if \\spad{x} is a kernel and is its operator is op.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} tests if \\% accepts \\spad{op} as applicable to its elements.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\%.")) (|operators| (((|List| (|BasicOperator|)) $) "\\spad{operators(f)} returns all the basic operators appearing in \\spad{f},{} no matter what their levels are.")) (|tower| (((|List| (|Kernel| $)) $) "\\spad{tower(f)} returns all the kernels appearing in \\spad{f},{} no matter what their levels are.")) (|kernels| (((|List| (|Kernel| $)) $) "\\spad{kernels(f)} returns the list of all the top-level kernels appearing in \\spad{f},{} but not the ones appearing in the arguments of the top-level kernels.")) (|mainKernel| (((|Union| (|Kernel| $) "failed") $) "\\spad{mainKernel(f)} returns a kernel of \\spad{f} with maximum nesting level,{} or if \\spad{f} has no kernels (\\spadignore{i.e.} \\spad{f} is a constant).")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(f)} returns the highest nesting level appearing in \\spad{f}. Constants have height 0. Symbols have height 1. For any operator op and expressions \\spad{f1},{}...,{}\\spad{fn},{} \\spad{op(f1,{}...,{}fn)} has height equal to \\spad{1 + max(height(f1),{}...,{}height(fn))}.")) (|distribute| (($ $ $) "\\spad{distribute(f,{} g)} expands all the kernels in \\spad{f} that contain \\spad{g} in their arguments and that are formally enclosed by a \\spadfunFrom{box}{ExpressionSpace} or a \\spadfunFrom{paren}{ExpressionSpace} expression.") (($ $) "\\spad{distribute(f)} expands all the kernels in \\spad{f} that are formally enclosed by a \\spadfunFrom{box}{ExpressionSpace} or \\spadfunFrom{paren}{ExpressionSpace} expression.")) (|paren| (($ (|List| $)) "\\spad{paren([f1,{}...,{}fn])} returns \\spad{(f1,{}...,{}fn)}. This prevents the \\spad{fi} from being evaluated when operators are applied to them,{} and makes them applicable to a unary operator. For example,{} \\spad{atan(paren [x,{} 2])} returns the formal kernel \\spad{atan((x,{} 2))}.") (($ $) "\\spad{paren(f)} returns (\\spad{f}). This prevents \\spad{f} from being evaluated when operators are applied to it. For example,{} \\spad{log(1)} returns 0,{} but \\spad{log(paren 1)} returns the formal kernel log((1)).")) (|box| (($ (|List| $)) "\\spad{box([f1,{}...,{}fn])} returns \\spad{(f1,{}...,{}fn)} with a 'box' around them that prevents the \\spad{fi} from being evaluated when operators are applied to them,{} and makes them applicable to a unary operator. For example,{} \\spad{atan(box [x,{} 2])} returns the formal kernel \\spad{atan(x,{} 2)}.") (($ $) "\\spad{box(f)} returns \\spad{f} with a 'box' around it that prevents \\spad{f} from being evaluated when operators are applied to it. For example,{} \\spad{log(1)} returns 0,{} but \\spad{log(box 1)} returns the formal kernel log(1).")) (|subst| (($ $ (|List| (|Kernel| $)) (|List| $)) "\\spad{subst(f,{} [k1...,{}kn],{} [g1,{}...,{}gn])} replaces the kernels \\spad{k1},{}...,{}\\spad{kn} by \\spad{g1},{}...,{}\\spad{gn} formally in \\spad{f}.") (($ $ (|List| (|Equation| $))) "\\spad{subst(f,{} [k1 = g1,{}...,{}kn = gn])} replaces the kernels \\spad{k1},{}...,{}\\spad{kn} by \\spad{g1},{}...,{}\\spad{gn} formally in \\spad{f}.") (($ $ (|Equation| $)) "\\spad{subst(f,{} k = g)} replaces the kernel \\spad{k} by \\spad{g} formally in \\spad{f}.")) (|elt| (($ (|BasicOperator|) (|List| $)) "\\spad{elt(op,{}[x1,{}...,{}xn])} or \\spad{op}([\\spad{x1},{}...,{}\\spad{xn}]) applies the \\spad{n}-ary operator \\spad{op} to \\spad{x1},{}...,{}\\spad{xn}.") (($ (|BasicOperator|) $ $ $ $) "\\spad{elt(op,{}x,{}y,{}z,{}t)} or \\spad{op}(\\spad{x},{} \\spad{y},{} \\spad{z},{} \\spad{t}) applies the 4-ary operator \\spad{op} to \\spad{x},{} \\spad{y},{} \\spad{z} and \\spad{t}.") (($ (|BasicOperator|) $ $ $) "\\spad{elt(op,{}x,{}y,{}z)} or \\spad{op}(\\spad{x},{} \\spad{y},{} \\spad{z}) applies the ternary operator \\spad{op} to \\spad{x},{} \\spad{y} and \\spad{z}.") (($ (|BasicOperator|) $ $) "\\spad{elt(op,{}x,{}y)} or \\spad{op}(\\spad{x},{} \\spad{y}) applies the binary operator \\spad{op} to \\spad{x} and \\spad{y}.") (($ (|BasicOperator|) $) "\\spad{elt(op,{}x)} or \\spad{op}(\\spad{x}) applies the unary operator \\spad{op} to \\spad{x}."))) 
 NIL 
-((|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-1047)))) 
-(-296) 
+((|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-1048)))) 
+(-297) 
 ((|constructor| (NIL "An expression space is a set which is closed under certain operators.")) (|odd?| (((|Boolean|) $) "\\spad{odd? x} is \\spad{true} if \\spad{x} is an odd integer.")) (|even?| (((|Boolean|) $) "\\spad{even? x} is \\spad{true} if \\spad{x} is an even integer.")) (|definingPolynomial| (($ $) "\\spad{definingPolynomial(x)} returns an expression \\spad{p} such that \\spad{p(x) = 0}.")) (|minPoly| (((|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{minPoly(k)} returns \\spad{p} such that \\spad{p(k) = 0}.")) (|eval| (($ $ (|BasicOperator|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|BasicOperator|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a1,{}..,{}am)} in \\spad{x} by \\spad{f(a1,{}..,{}am)} for any \\spad{a1},{}...,{}\\spad{am}.") (($ $ (|List| (|BasicOperator|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any \\spad{a1},{}...,{}\\spad{an}.") (($ $ (|List| (|BasicOperator|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} f)} replaces every \\spad{s(a1,{}..,{}am)} in \\spad{x} by \\spad{f(a1,{}..,{}am)} for any \\spad{a1},{}...,{}\\spad{am}.") (($ $ (|List| (|Symbol|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any \\spad{a1},{}...,{}\\spad{an}.") (($ $ (|List| (|Symbol|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.")) (|freeOf?| (((|Boolean|) $ (|Symbol|)) "\\spad{freeOf?(x,{} s)} tests if \\spad{x} does not contain any operator whose name is \\spad{s}.") (((|Boolean|) $ $) "\\spad{freeOf?(x,{} y)} tests if \\spad{x} does not contain any occurrence of \\spad{y},{} where \\spad{y} is a single kernel.")) (|map| (($ (|Mapping| $ $) (|Kernel| $)) "\\spad{map(f,{} k)} returns \\spad{op(f(x1),{}...,{}f(xn))} where \\spad{k = op(x1,{}...,{}xn)}.")) (|kernel| (($ (|BasicOperator|) (|List| $)) "\\spad{kernel(op,{} [f1,{}...,{}fn])} constructs \\spad{op(f1,{}...,{}fn)} without evaluating it.") (($ (|BasicOperator|) $) "\\spad{kernel(op,{} x)} constructs \\spad{op}(\\spad{x}) without evaluating it.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(x,{} s)} tests if \\spad{x} is a kernel and is the name of its operator is \\spad{s}.") (((|Boolean|) $ (|BasicOperator|)) "\\spad{is?(x,{} op)} tests if \\spad{x} is a kernel and is its operator is op.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} tests if \\% accepts \\spad{op} as applicable to its elements.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\%.")) (|operators| (((|List| (|BasicOperator|)) $) "\\spad{operators(f)} returns all the basic operators appearing in \\spad{f},{} no matter what their levels are.")) (|tower| (((|List| (|Kernel| $)) $) "\\spad{tower(f)} returns all the kernels appearing in \\spad{f},{} no matter what their levels are.")) (|kernels| (((|List| (|Kernel| $)) $) "\\spad{kernels(f)} returns the list of all the top-level kernels appearing in \\spad{f},{} but not the ones appearing in the arguments of the top-level kernels.")) (|mainKernel| (((|Union| (|Kernel| $) "failed") $) "\\spad{mainKernel(f)} returns a kernel of \\spad{f} with maximum nesting level,{} or if \\spad{f} has no kernels (\\spadignore{i.e.} \\spad{f} is a constant).")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(f)} returns the highest nesting level appearing in \\spad{f}. Constants have height 0. Symbols have height 1. For any operator op and expressions \\spad{f1},{}...,{}\\spad{fn},{} \\spad{op(f1,{}...,{}fn)} has height equal to \\spad{1 + max(height(f1),{}...,{}height(fn))}.")) (|distribute| (($ $ $) "\\spad{distribute(f,{} g)} expands all the kernels in \\spad{f} that contain \\spad{g} in their arguments and that are formally enclosed by a \\spadfunFrom{box}{ExpressionSpace} or a \\spadfunFrom{paren}{ExpressionSpace} expression.") (($ $) "\\spad{distribute(f)} expands all the kernels in \\spad{f} that are formally enclosed by a \\spadfunFrom{box}{ExpressionSpace} or \\spadfunFrom{paren}{ExpressionSpace} expression.")) (|paren| (($ (|List| $)) "\\spad{paren([f1,{}...,{}fn])} returns \\spad{(f1,{}...,{}fn)}. This prevents the \\spad{fi} from being evaluated when operators are applied to them,{} and makes them applicable to a unary operator. For example,{} \\spad{atan(paren [x,{} 2])} returns the formal kernel \\spad{atan((x,{} 2))}.") (($ $) "\\spad{paren(f)} returns (\\spad{f}). This prevents \\spad{f} from being evaluated when operators are applied to it. For example,{} \\spad{log(1)} returns 0,{} but \\spad{log(paren 1)} returns the formal kernel log((1)).")) (|box| (($ (|List| $)) "\\spad{box([f1,{}...,{}fn])} returns \\spad{(f1,{}...,{}fn)} with a 'box' around them that prevents the \\spad{fi} from being evaluated when operators are applied to them,{} and makes them applicable to a unary operator. For example,{} \\spad{atan(box [x,{} 2])} returns the formal kernel \\spad{atan(x,{} 2)}.") (($ $) "\\spad{box(f)} returns \\spad{f} with a 'box' around it that prevents \\spad{f} from being evaluated when operators are applied to it. For example,{} \\spad{log(1)} returns 0,{} but \\spad{log(box 1)} returns the formal kernel log(1).")) (|subst| (($ $ (|List| (|Kernel| $)) (|List| $)) "\\spad{subst(f,{} [k1...,{}kn],{} [g1,{}...,{}gn])} replaces the kernels \\spad{k1},{}...,{}\\spad{kn} by \\spad{g1},{}...,{}\\spad{gn} formally in \\spad{f}.") (($ $ (|List| (|Equation| $))) "\\spad{subst(f,{} [k1 = g1,{}...,{}kn = gn])} replaces the kernels \\spad{k1},{}...,{}\\spad{kn} by \\spad{g1},{}...,{}\\spad{gn} formally in \\spad{f}.") (($ $ (|Equation| $)) "\\spad{subst(f,{} k = g)} replaces the kernel \\spad{k} by \\spad{g} formally in \\spad{f}.")) (|elt| (($ (|BasicOperator|) (|List| $)) "\\spad{elt(op,{}[x1,{}...,{}xn])} or \\spad{op}([\\spad{x1},{}...,{}\\spad{xn}]) applies the \\spad{n}-ary operator \\spad{op} to \\spad{x1},{}...,{}\\spad{xn}.") (($ (|BasicOperator|) $ $ $ $) "\\spad{elt(op,{}x,{}y,{}z,{}t)} or \\spad{op}(\\spad{x},{} \\spad{y},{} \\spad{z},{} \\spad{t}) applies the 4-ary operator \\spad{op} to \\spad{x},{} \\spad{y},{} \\spad{z} and \\spad{t}.") (($ (|BasicOperator|) $ $ $) "\\spad{elt(op,{}x,{}y,{}z)} or \\spad{op}(\\spad{x},{} \\spad{y},{} \\spad{z}) applies the ternary operator \\spad{op} to \\spad{x},{} \\spad{y} and \\spad{z}.") (($ (|BasicOperator|) $ $) "\\spad{elt(op,{}x,{}y)} or \\spad{op}(\\spad{x},{} \\spad{y}) applies the binary operator \\spad{op} to \\spad{x} and \\spad{y}.") (($ (|BasicOperator|) $) "\\spad{elt(op,{}x)} or \\spad{op}(\\spad{x}) applies the unary operator \\spad{op} to \\spad{x}."))) 
 NIL 
 NIL 
-(-297 R1) 
+(-298 R1) 
 ((|constructor| (NIL "\\axiom{\\spad{ExpertSystemToolsPackage1}} contains some useful functions for use by the computational agents of Ordinary Differential Equation solvers.")) (|neglist| (((|List| |#1|) (|List| |#1|)) "\\spad{neglist(l)} returns only the negative elements of the list \\spad{l}"))) 
 NIL 
 NIL 
-(-298 R1 R2) 
+(-299 R1 R2) 
 ((|constructor| (NIL "\\axiom{\\spad{ExpertSystemToolsPackage2}} contains some useful functions for use by the computational agents of Ordinary Differential Equation solvers.")) (|map| (((|Matrix| |#2|) (|Mapping| |#2| |#1|) (|Matrix| |#1|)) "\\spad{map(f,{}m)} applies a mapping \\spad{f:R1} \\spad{->} \\spad{R2} onto a matrix \\spad{m} in \\spad{R1} returning a matrix in \\spad{R2}"))) 
 NIL 
 NIL 
-(-299) 
+(-300) 
 ((|constructor| (NIL "\\axiom{ExpertSystemToolsPackage} contains some useful functions for use by the computational agents of numerical solvers.")) (|mat| (((|Matrix| (|DoubleFloat|)) (|List| (|DoubleFloat|)) (|NonNegativeInteger|)) "\\spad{mat(a,{}n)} constructs a one-dimensional matrix of a.")) (|fi2df| (((|DoubleFloat|) (|Fraction| (|Integer|))) "\\spad{fi2df(f)} coerces a \\axiomType{Fraction Integer} to \\axiomType{DoubleFloat}")) (|df2ef| (((|Expression| (|Float|)) (|DoubleFloat|)) "\\spad{df2ef(a)} coerces a \\axiomType{DoubleFloat} to \\axiomType{Expression Float}")) (|pdf2df| (((|DoubleFloat|) (|Polynomial| (|DoubleFloat|))) "\\spad{pdf2df(p)} coerces a \\axiomType{Polynomial DoubleFloat} to \\axiomType{DoubleFloat}. It is an error if \\axiom{\\spad{p}} is not retractable to DoubleFloat.")) (|pdf2ef| (((|Expression| (|Float|)) (|Polynomial| (|DoubleFloat|))) "\\spad{pdf2ef(p)} coerces a \\axiomType{Polynomial DoubleFloat} to \\axiomType{Expression Float}")) (|iflist2Result| (((|Result|) (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))) "\\spad{iflist2Result(m)} converts a attributes record into a \\axiomType{Result}")) (|att2Result| (((|Result|) (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) "\\spad{att2Result(m)} converts a attributes record into a \\axiomType{Result}")) (|measure2Result| (((|Result|) (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|)))) "\\spad{measure2Result(m)} converts a measure record into a \\axiomType{Result}") (((|Result|) (|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))))) "\\spad{measure2Result(m)} converts a measure record into a \\axiomType{Result}")) (|outputMeasure| (((|String|) (|Float|)) "\\spad{outputMeasure(n)} rounds \\spad{n} to 3 decimal places and outputs it as a string")) (|concat| (((|Result|) (|List| (|Result|))) "\\spad{concat(l)} concatenates a list of aggregates of type \\axiomType{Result}") (((|Result|) (|Result|) (|Result|)) "\\spad{concat(a,{}b)} adds two aggregates of type \\axiomType{Result}.")) (|gethi| (((|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{gethi(u)} gets the \\axiomType{DoubleFloat} equivalent of the second endpoint of the range \\spad{u}")) (|getlo| (((|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{getlo(u)} gets the \\axiomType{DoubleFloat} equivalent of the first endpoint of the range \\spad{u}")) (|sdf2lst| (((|List| (|String|)) (|Stream| (|DoubleFloat|))) "\\spad{sdf2lst(ln)} coerces a \\axiomType{Stream DoubleFloat} to \\axiomType{String}")) (|ldf2lst| (((|List| (|String|)) (|List| (|DoubleFloat|))) "\\spad{ldf2lst(ln)} coerces a \\axiomType{List DoubleFloat} to \\axiomType{List String}")) (|f2st| (((|String|) (|Float|)) "\\spad{f2st(n)} coerces a \\axiomType{Float} to \\axiomType{String}")) (|df2st| (((|String|) (|DoubleFloat|)) "\\spad{df2st(n)} coerces a \\axiomType{DoubleFloat} to \\axiomType{String}")) (|in?| (((|Boolean|) (|DoubleFloat|) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{in?(p,{}range)} tests whether point \\spad{p} is internal to the \\spad{range} \\spad{range}")) (|vedf2vef| (((|Vector| (|Expression| (|Float|))) (|Vector| (|Expression| (|DoubleFloat|)))) "\\spad{vedf2vef(v)} maps \\axiomType{Vector Expression DoubleFloat} to \\axiomType{Vector Expression Float}")) (|edf2ef| (((|Expression| (|Float|)) (|Expression| (|DoubleFloat|))) "\\spad{edf2ef(e)} maps \\axiomType{Expression DoubleFloat} to \\axiomType{Expression Float}")) (|ldf2vmf| (((|Vector| (|MachineFloat|)) (|List| (|DoubleFloat|))) "\\spad{ldf2vmf(l)} coerces a \\axiomType{List DoubleFloat} to \\axiomType{List MachineFloat}")) (|df2mf| (((|MachineFloat|) (|DoubleFloat|)) "\\spad{df2mf(n)} coerces a \\axiomType{DoubleFloat} to \\axiomType{MachineFloat}")) (|dflist| (((|List| (|DoubleFloat|)) (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) "\\spad{dflist(l)} returns a list of \\axiomType{DoubleFloat} equivalents of list \\spad{l}")) (|dfRange| (((|Segment| (|OrderedCompletion| (|DoubleFloat|))) (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) "\\spad{dfRange(r)} converts a range including \\inputbitmap{\\htbmdir{}/plusminus.bitmap} \\infty to \\axiomType{DoubleFloat} equavalents.")) (|edf2efi| (((|Expression| (|Fraction| (|Integer|))) (|Expression| (|DoubleFloat|))) "\\spad{edf2efi(e)} coerces \\axiomType{Expression DoubleFloat} into \\axiomType{Expression Fraction Integer}")) (|numberOfOperations| (((|Record| (|:| |additions| (|Integer|)) (|:| |multiplications| (|Integer|)) (|:| |exponentiations| (|Integer|)) (|:| |functionCalls| (|Integer|))) (|Vector| (|Expression| (|DoubleFloat|)))) "\\spad{numberOfOperations(ode)} counts additions,{} multiplications,{} exponentiations and function calls in the input set of expressions.")) (|expenseOfEvaluation| (((|Float|) (|Vector| (|Expression| (|DoubleFloat|)))) "\\spad{expenseOfEvaluation(o)} gives an approximation of the cost of evaluating a list of expressions in terms of the number of basic operations. < 0.3 inexpensive ; 0.5 neutral ; > 0.7 very expensive 400 `operation units' \\spad{->} 0.75 200 `operation units' \\spad{->} 0.5 83 `operation units' \\spad{->} 0.25 \\spad{**} = 4 units ,{} function calls = 10 units.")) (|isQuotient| (((|Union| (|Expression| (|DoubleFloat|)) "failed") (|Expression| (|DoubleFloat|))) "\\spad{isQuotient(expr)} returns the quotient part of the input expression or \\spad{\"failed\"} if the expression is not of that form.")) (|edf2df| (((|DoubleFloat|) (|Expression| (|DoubleFloat|))) "\\spad{edf2df(n)} maps \\axiomType{Expression DoubleFloat} to \\axiomType{DoubleFloat} It is an error if \\spad{n} is not coercible to DoubleFloat")) (|edf2fi| (((|Fraction| (|Integer|)) (|Expression| (|DoubleFloat|))) "\\spad{edf2fi(n)} maps \\axiomType{Expression DoubleFloat} to \\axiomType{Fraction Integer} It is an error if \\spad{n} is not coercible to Fraction Integer")) (|df2fi| (((|Fraction| (|Integer|)) (|DoubleFloat|)) "\\spad{df2fi(n)} is a function to convert a \\axiomType{DoubleFloat} to a \\axiomType{Fraction Integer}")) (|convert| (((|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{convert(l)} is a function to convert a \\axiomType{Segment OrderedCompletion Float} to a \\axiomType{Segment OrderedCompletion DoubleFloat}")) (|socf2socdf| (((|Segment| (|OrderedCompletion| (|DoubleFloat|))) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{socf2socdf(a)} is a function to convert a \\axiomType{Segment OrderedCompletion Float} to a \\axiomType{Segment OrderedCompletion DoubleFloat}")) (|ocf2ocdf| (((|OrderedCompletion| (|DoubleFloat|)) (|OrderedCompletion| (|Float|))) "\\spad{ocf2ocdf(a)} is a function to convert an \\axiomType{OrderedCompletion Float} to an \\axiomType{OrderedCompletion DoubleFloat}")) (|ef2edf| (((|Expression| (|DoubleFloat|)) (|Expression| (|Float|))) "\\spad{ef2edf(f)} is a function to convert an \\axiomType{Expression Float} to an \\axiomType{Expression DoubleFloat}")) (|f2df| (((|DoubleFloat|) (|Float|)) "\\spad{f2df(f)} is a function to convert a \\axiomType{Float} to a \\axiomType{DoubleFloat}"))) 
 NIL 
 NIL 
-(-300 S) 
+(-301 S) 
 ((|constructor| (NIL "A constructive euclidean domain,{} \\spadignore{i.e.} one can divide producing a quotient and a remainder where the remainder is either zero or is smaller (\\spadfun{euclideanSize}) than the divisor. \\blankline Conditional attributes\\spad{\\br} \\tab{5}multiplicativeValuation\\tab{5}Size(a*b)=Size(a)*Size(\\spad{b})\\spad{\\br} \\tab{5}additiveValuation\\tab{11}Size(a*b)=Size(a)+Size(\\spad{b})")) (|multiEuclidean| (((|Union| (|List| $) "failed") (|List| $) $) "\\spad{multiEuclidean([f1,{}...,{}fn],{}z)} returns a list of coefficients \\spad{[a1,{} ...,{} an]} such that \\spad{ z / prod \\spad{fi} = sum aj/fj}. If no such list of coefficients exists,{} \"failed\" is returned.")) (|extendedEuclidean| (((|Union| (|Record| (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) "\\spad{extendedEuclidean(x,{}y,{}z)} either returns a record rec where \\spad{rec.coef1*x+rec.coef2*y=z} or returns \"failed\" if \\spad{z} cannot be expressed as a linear combination of \\spad{x} and \\spad{y}.") (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{extendedEuclidean(x,{}y)} returns a record rec where \\spad{rec.coef1*x+rec.coef2*y = rec.generator} and rec.generator is a \\spad{gcd} of \\spad{x} and \\spad{y}. The \\spad{gcd} is unique only up to associates if \\spadatt{canonicalUnitNormal} is not asserted. \\spadfun{principalIdeal} provides a version of this operation which accepts an arbitrary length list of arguments.")) (|rem| (($ $ $) "\\spad{x rem y} is the same as \\spad{divide(x,{}y).remainder}. See \\spadfunFrom{divide}{EuclideanDomain}.")) (|quo| (($ $ $) "\\spad{x quo y} is the same as \\spad{divide(x,{}y).quotient}. See \\spadfunFrom{divide}{EuclideanDomain}.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(x,{}y)} divides \\spad{x} by \\spad{y} producing a record containing a \\spad{quotient} and \\spad{remainder},{} where the remainder is smaller (see \\spadfunFrom{sizeLess?}{EuclideanDomain}) than the divisor \\spad{y}.")) (|euclideanSize| (((|NonNegativeInteger|) $) "\\spad{euclideanSize(x)} returns the euclidean size of the element \\spad{x}. Error: if \\spad{x} is zero.")) (|sizeLess?| (((|Boolean|) $ $) "\\spad{sizeLess?(x,{}y)} tests whether \\spad{x} is strictly smaller than \\spad{y} with respect to the \\spadfunFrom{euclideanSize}{EuclideanDomain}."))) 
 NIL 
 NIL 
-(-301) 
+(-302) 
 ((|constructor| (NIL "A constructive euclidean domain,{} \\spadignore{i.e.} one can divide producing a quotient and a remainder where the remainder is either zero or is smaller (\\spadfun{euclideanSize}) than the divisor. \\blankline Conditional attributes\\spad{\\br} \\tab{5}multiplicativeValuation\\tab{5}Size(a*b)=Size(a)*Size(\\spad{b})\\spad{\\br} \\tab{5}additiveValuation\\tab{11}Size(a*b)=Size(a)+Size(\\spad{b})")) (|multiEuclidean| (((|Union| (|List| $) "failed") (|List| $) $) "\\spad{multiEuclidean([f1,{}...,{}fn],{}z)} returns a list of coefficients \\spad{[a1,{} ...,{} an]} such that \\spad{ z / prod \\spad{fi} = sum aj/fj}. If no such list of coefficients exists,{} \"failed\" is returned.")) (|extendedEuclidean| (((|Union| (|Record| (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) "\\spad{extendedEuclidean(x,{}y,{}z)} either returns a record rec where \\spad{rec.coef1*x+rec.coef2*y=z} or returns \"failed\" if \\spad{z} cannot be expressed as a linear combination of \\spad{x} and \\spad{y}.") (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{extendedEuclidean(x,{}y)} returns a record rec where \\spad{rec.coef1*x+rec.coef2*y = rec.generator} and rec.generator is a \\spad{gcd} of \\spad{x} and \\spad{y}. The \\spad{gcd} is unique only up to associates if \\spadatt{canonicalUnitNormal} is not asserted. \\spadfun{principalIdeal} provides a version of this operation which accepts an arbitrary length list of arguments.")) (|rem| (($ $ $) "\\spad{x rem y} is the same as \\spad{divide(x,{}y).remainder}. See \\spadfunFrom{divide}{EuclideanDomain}.")) (|quo| (($ $ $) "\\spad{x quo y} is the same as \\spad{divide(x,{}y).quotient}. See \\spadfunFrom{divide}{EuclideanDomain}.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(x,{}y)} divides \\spad{x} by \\spad{y} producing a record containing a \\spad{quotient} and \\spad{remainder},{} where the remainder is smaller (see \\spadfunFrom{sizeLess?}{EuclideanDomain}) than the divisor \\spad{y}.")) (|euclideanSize| (((|NonNegativeInteger|) $) "\\spad{euclideanSize(x)} returns the euclidean size of the element \\spad{x}. Error: if \\spad{x} is zero.")) (|sizeLess?| (((|Boolean|) $ $) "\\spad{sizeLess?(x,{}y)} tests whether \\spad{x} is strictly smaller than \\spad{y} with respect to the \\spadfunFrom{euclideanSize}{EuclideanDomain}."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-302 S R) 
+(-303 S R) 
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#2|))) "\\spad{eval(f,{} [x1 = v1,{}...,{}xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#2|)) "\\spad{eval(f,{}x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
 NIL 
 NIL 
-(-303 R) 
+(-304 R) 
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#1|))) "\\spad{eval(f,{} [x1 = v1,{}...,{}xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#1|)) "\\spad{eval(f,{}x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
 NIL 
 NIL 
-(-304 -1478) 
+(-305 -1564) 
 ((|constructor| (NIL "This package is to be used in conjuction with the CycleIndicators package. It provides an evaluation function for SymmetricPolynomials.")) (|eval| ((|#1| (|Mapping| |#1| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval(f,{}s)} evaluates the cycle index \\spad{s} by applying \\indented{1}{the function \\spad{f} to each integer in a monomial partition,{}} \\indented{1}{forms their product and sums the results over all monomials.}"))) 
 NIL 
 NIL 
-(-305) 
+(-306) 
 ((|constructor| (NIL "A function which does not return directly to its caller should have Exit as its return type. \\blankline Note that It is convenient to have a formal \\spad{coerce} into each type from type Exit. This allows,{} for example,{} errors to be raised in one half of a type-balanced \\spad{if}."))) 
 NIL 
 NIL 
-(-306) 
+(-307) 
 ((|writeObj| (((|Void|) (|SubSpace| 3 (|DoubleFloat|)) (|String|)) "writes 3D SubSpace to a file in Wavefront (.OBJ) format"))) 
 NIL 
 NIL 
-(-307 R FE |var| |cen|) 
+(-308 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent essential singularities of functions. Objects in this domain are quotients of sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) "\\spad{coerce(f)} converts a \\spadtype{UnivariatePuiseuxSeries} to an \\spadtype{ExponentialExpansion}.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> a+,{}f(var))}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-904))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-150))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-1021))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-815))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-1136))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-225))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -523) (QUOTE (-1161)) (LIST (QUOTE -1229) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -303) (LIST (QUOTE -1229) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (LIST (QUOTE -281) (LIST (QUOTE -1229) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1229) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-301))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-550))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-842))) (-2199 (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-815))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-842)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-904)))) (|HasCategory| (-1229 |#1| |#2| |#3| |#4|) (QUOTE (-148))))) 
-(-308 R S) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-905))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-151))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-1022))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-816))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-1137))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-226))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -524) (QUOTE (-1163)) (LIST (QUOTE -1232) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -304) (LIST (QUOTE -1232) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (LIST (QUOTE -282) (LIST (QUOTE -1232) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1232) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-302))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-551))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-843))) (-2232 (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-816))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-843)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-905)))) (|HasCategory| (-1232 |#1| |#2| |#3| |#4|) (QUOTE (-149))))) 
+(-309 R S) 
 ((|constructor| (NIL "Lifting of maps to Expressions.")) (|map| (((|Expression| |#2|) (|Mapping| |#2| |#1|) (|Expression| |#1|)) "\\spad{map(f,{} e)} applies \\spad{f} to all the constants appearing in \\spad{e}."))) 
 NIL 
 NIL 
-(-309 R FE) 
+(-310 R FE) 
 ((|constructor| (NIL "This package provides functions to convert functional expressions to power series.")) (|series| (((|Any|) |#2| (|Equation| |#2|) (|Fraction| (|Integer|))) "\\spad{series(f,{}x = a,{}n)} expands the expression \\spad{f} as a series in powers of (\\spad{x} - a); terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{series(f,{}x = a)} expands the expression \\spad{f} as a series in powers of (\\spad{x} - a).") (((|Any|) |#2| (|Fraction| (|Integer|))) "\\spad{series(f,{}n)} returns a series expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{series(f)} returns a series expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{series(x)} returns \\spad{x} viewed as a series.")) (|puiseux| (((|Any|) |#2| (|Equation| |#2|) (|Fraction| (|Integer|))) "\\spad{puiseux(f,{}x = a,{}n)} expands the expression \\spad{f} as a Puiseux series in powers of \\spad{(x - a)}; terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{puiseux(f,{}x = a)} expands the expression \\spad{f} as a Puiseux series in powers of \\spad{(x - a)}.") (((|Any|) |#2| (|Fraction| (|Integer|))) "\\spad{puiseux(f,{}n)} returns a Puiseux expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{puiseux(f)} returns a Puiseux expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{puiseux(x)} returns \\spad{x} viewed as a Puiseux series.")) (|laurent| (((|Any|) |#2| (|Equation| |#2|) (|Integer|)) "\\spad{laurent(f,{}x = a,{}n)} expands the expression \\spad{f} as a Laurent series in powers of \\spad{(x - a)}; terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{laurent(f,{}x = a)} expands the expression \\spad{f} as a Laurent series in powers of \\spad{(x - a)}.") (((|Any|) |#2| (|Integer|)) "\\spad{laurent(f,{}n)} returns a Laurent expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{laurent(f)} returns a Laurent expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{laurent(x)} returns \\spad{x} viewed as a Laurent series.")) (|taylor| (((|Any|) |#2| (|Equation| |#2|) (|NonNegativeInteger|)) "\\spad{taylor(f,{}x = a)} expands the expression \\spad{f} as a Taylor series in powers of \\spad{(x - a)}; terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{taylor(f,{}x = a)} expands the expression \\spad{f} as a Taylor series in powers of \\spad{(x - a)}.") (((|Any|) |#2| (|NonNegativeInteger|)) "\\spad{taylor(f,{}n)} returns a Taylor expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{taylor(f)} returns a Taylor expansion of the expression \\spad{f}. Note that \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{taylor(x)} returns \\spad{x} viewed as a Taylor series."))) 
 NIL 
 NIL 
-(-310 R) 
+(-311 R) 
 ((|constructor| (NIL "Top-level mathematical expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} is not documented")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} is not documented")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) is not documented")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) 
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-(-311 R -1478) 
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+(-312 R -1564) 
 ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} [b0,{}...,{}bn])} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} [b0,{}...,{}b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} y a = b)} is equivalent to \\spad{seriesSolve(eq=0,{} y,{} x=a,{} y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{} y,{} x = a,{} b)} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{}y,{} x=a,{} b)} is equivalent to \\spad{seriesSolve(eq,{} y,{} x=a,{} y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "seriesSolve([\\spad{eq1},{}...,{}eqn],{} [\\spad{y1},{}...,{}\\spad{yn}],{} \\spad{x} = a,{}[\\spad{y1} a = \\spad{b1},{}...,{} \\spad{yn} a = \\spad{bn}]) is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{}[y1,{}...,{}yn],{}x = a,{}[y1 a = b1,{}...,{}yn a = bn])} returns a taylor series solution of \\spad{[eq1,{}...,{}eqn]} around \\spad{x = a} with initial conditions \\spad{\\spad{yi}(a) = \\spad{bi}}. Note that eqi must be of the form \\spad{\\spad{fi}(x,{} y1 x,{} y2 x,{}...,{} yn x) y1'(x) + \\spad{gi}(x,{} y1 x,{} y2 x,{}...,{} yn x) = h(x,{} y1 x,{} y2 x,{}...,{} yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{}y,{}x=a,{}[b0,{}...,{}b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x,{} y x,{} y'(x),{}...,{} y(n-1)(x)) y(n)(x) + g(x,{}y x,{}y'(x),{}...,{}y(n-1)(x)) = h(x,{}y x,{} y'(x),{}...,{} y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{}y,{}x=a,{} y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note that \\spad{eq} must be of the form \\spad{f(x,{} y x) y'(x) + g(x,{} y x) = h(x,{} y x)}."))) 
 NIL 
 NIL 
-(-312 R -1478 UTSF UTSSUPF) 
+(-313 R -1564 UTSF UTSSUPF) 
 ((|constructor| (NIL "This package has no description"))) 
 NIL 
 NIL 
-(-313) 
+(-314) 
 ((|constructor| (NIL "Package for constructing tubes around 3-dimensional parametric curves.")) (|tubePlot| (((|TubePlot| (|Plot3D|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|String|)) "\\spad{tubePlot(f,{}g,{}h,{}colorFcn,{}a..b,{}r,{}n,{}s)} puts a tube of radius \\spad{r} with \\spad{n} points on each circle about the curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} for \\spad{t} in \\spad{[a,{}b]}. If \\spad{s} = \"closed\",{} the tube is considered to be closed; if \\spad{s} = \"open\",{} the tube is considered to be open.") (((|TubePlot| (|Plot3D|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|)) "\\spad{tubePlot(f,{}g,{}h,{}colorFcn,{}a..b,{}r,{}n)} puts a tube of radius \\spad{r} with \\spad{n} points on each circle about the curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} for \\spad{t} in \\spad{[a,{}b]}. The tube is considered to be open.") (((|TubePlot| (|Plot3D|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Integer|) (|String|)) "\\spad{tubePlot(f,{}g,{}h,{}colorFcn,{}a..b,{}r,{}n,{}s)} puts a tube of radius \\spad{r(t)} with \\spad{n} points on each circle about the curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} for \\spad{t} in \\spad{[a,{}b]}. If \\spad{s} = \"closed\",{} the tube is considered to be closed; if \\spad{s} = \"open\",{} the tube is considered to be open.") (((|TubePlot| (|Plot3D|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Integer|)) "\\spad{tubePlot(f,{}g,{}h,{}colorFcn,{}a..b,{}r,{}n)} puts a tube of radius \\spad{r}(\\spad{t}) with \\spad{n} points on each circle about the curve \\spad{x = f(t)},{} \\spad{y = g(t)},{} \\spad{z = h(t)} for \\spad{t} in \\spad{[a,{}b]}. The tube is considered to be open.")) (|constantToUnaryFunction| (((|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|DoubleFloat|)) "\\spad{constantToUnaryFunction(s)} is a local function which takes the value of \\spad{s},{} which may be a function of a constant,{} and returns a function which always returns the value \\spadtype{DoubleFloat} \\spad{s}."))) 
 NIL 
 NIL 
-(-314 FE |var| |cen|) 
+(-315 FE |var| |cen|) 
 ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
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-(-315 K) 
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 ((|constructor| (NIL "Part of the Package for Algebraic Function Fields in one variable PAFF"))) 
 NIL 
 NIL 
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+(-317 M) 
 ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) 
 NIL 
 NIL 
-(-317 K) 
+(-318 K) 
 ((|constructor| (NIL "Part of the Package for Algebraic Function Fields in one variable PAFF"))) 
 NIL 
 NIL 
-(-318 E OV R P) 
+(-319 E OV R P) 
 ((|constructor| (NIL "This package provides utilities used by the factorizers which operate on polynomials represented as univariate polynomials with multivariate coefficients.")) (|ran| ((|#3| (|Integer|)) "\\spad{ran(k)} computes a random integer between \\spad{-k} and \\spad{k} as a member of \\spad{R}.")) (|normalDeriv| (((|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|) (|Integer|)) "\\spad{normalDeriv(poly,{}i)} computes the \\spad{i}th derivative of \\spad{poly} divided by i!.")) (|raisePolynomial| (((|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#3|)) "\\spad{raisePolynomial(rpoly)} converts \\spad{rpoly} from a univariate polynomial over \\spad{r} to be a univariate polynomial with polynomial coefficients.")) (|lowerPolynomial| (((|SparseUnivariatePolynomial| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{lowerPolynomial(upoly)} converts \\spad{upoly} to be a univariate polynomial over \\spad{R}. An error if the coefficients contain variables.")) (|variables| (((|List| |#2|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{variables(upoly)} returns the list of variables for the coefficients of \\spad{upoly}.")) (|degree| (((|List| (|NonNegativeInteger|)) (|SparseUnivariatePolynomial| |#4|) (|List| |#2|)) "\\spad{degree(upoly,{} lvar)} returns a list containing the maximum degree for each variable in lvar.")) (|completeEval| (((|SparseUnivariatePolynomial| |#3|) (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|List| |#3|)) "\\spad{completeEval(upoly,{} lvar,{} lval)} evaluates the polynomial \\spad{upoly} with each variable in \\spad{lvar} replaced by the corresponding value in lval. Substitutions are done for all variables in \\spad{upoly} producing a univariate polynomial over \\spad{R}."))) 
 NIL 
 NIL 
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 ((|constructor| (NIL "The free abelian group on a set \\spad{S} is the monoid of finite sums of the form \\spad{reduce(+,{}[\\spad{ni} * \\spad{si}])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are integers. The operation is commutative."))) 
-((-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| (-568) (QUOTE (-787)))) 
-(-320 S E) 
+((-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| (-569) (QUOTE (-788)))) 
+(-321 S E) 
 ((|constructor| (NIL "A free abelian monoid on a set \\spad{S} is the monoid of finite sums of the form \\spad{reduce(+,{}[\\spad{ni} * \\spad{si}])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are in a given abelian monoid. The operation is commutative.")) (|highCommonTerms| (($ $ $) "\\spad{highCommonTerms(e1 a1 + ... + en an,{} f1 b1 + ... + fm bm)} returns \\spad{reduce(+,{}[max(\\spad{ei},{} \\spad{fi}) \\spad{ci}])} where \\spad{ci} ranges in the intersection of \\spad{{a1,{}...,{}an}} and \\spad{{b1,{}...,{}bm}}.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f,{} e1 a1 +...+ en an)} returns \\spad{e1 f(a1) +...+ en f(an)}.")) (|mapCoef| (($ (|Mapping| |#2| |#2|) $) "\\spad{mapCoef(f,{} e1 a1 +...+ en an)} returns \\spad{f(e1) a1 +...+ f(en) an}.")) (|coefficient| ((|#2| |#1| $) "\\spad{coefficient(s,{} e1 a1 + ... + en an)} returns \\spad{ei} such that \\spad{ai} = \\spad{s},{} or 0 if \\spad{s} is not one of the \\spad{ai}\\spad{'s}.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(x,{} n)} returns the factor of the n^th term of \\spad{x}.")) (|nthCoef| ((|#2| $ (|Integer|)) "\\spad{nthCoef(x,{} n)} returns the coefficient of the n^th term of \\spad{x}.")) (|terms| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| |#2|))) $) "\\spad{terms(e1 a1 + ... + en an)} returns \\spad{[[a1,{} e1],{}...,{}[an,{} en]]}.")) (|size| (((|NonNegativeInteger|) $) "\\indented{1}{size(\\spad{x}) returns the number of terms in \\spad{x}.} \\indented{1}{mapGen(\\spad{f},{} \\spad{a1}\\spad{\\^}\\spad{e1} ... an\\spad{\\^}en) returns} \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (* (($ |#2| |#1|) "\\spad{e * s} returns \\spad{e} times \\spad{s}.")) (+ (($ |#1| $) "\\spad{s + x} returns the sum of \\spad{s} and \\spad{x}."))) 
 NIL 
 NIL 
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 ((|constructor| (NIL "The free abelian monoid on a set \\spad{S} is the monoid of finite sums of the form \\spad{reduce(+,{}[\\spad{ni} * \\spad{si}])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are non-negative integers. The operation is commutative."))) 
 NIL 
-((|HasCategory| (-763) (QUOTE (-787)))) 
-(-322 E R1 A1 R2 A2) 
+((|HasCategory| (-764) (QUOTE (-788)))) 
+(-323 E R1 A1 R2 A2) 
 ((|constructor| (NIL "This package provides a mapping function for \\spadtype{FiniteAbelianMonoidRing} The packages defined in this file provide fast fraction free rational interpolation algorithms. (see \\spad{FAMR2},{} FFFG,{} FFFGF,{} NEWTON)")) (|map| ((|#5| (|Mapping| |#4| |#2|) |#3|) "\\spad{map}(\\spad{f},{} a) applies the map \\spad{f} to each coefficient in a. It is assumed that \\spad{f} maps 0 to 0"))) 
 NIL 
 NIL 
-(-323 S R E) 
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 ((|constructor| (NIL "This category is similar to AbelianMonoidRing,{} except that the sum is assumed to be finite. It is a useful model for polynomials,{} but is somewhat more general.")) (|primitivePart| (($ $) "\\spad{primitivePart(p)} returns the unit normalized form of polynomial \\spad{p} divided by the content of \\spad{p}.")) (|content| ((|#2| $) "\\spad{content(p)} gives the \\spad{gcd} of the coefficients of polynomial \\spad{p}.")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(p,{}r)} returns the exact quotient of polynomial \\spad{p} by \\spad{r},{} or \"failed\" if none exists.")) (|binomThmExpt| (($ $ $ (|NonNegativeInteger|)) "\\spad{binomThmExpt(p,{}q,{}n)} returns \\spad{(x+y)^n} by means of the binomial theorem trick.")) (|pomopo!| (($ $ |#2| |#3| $) "\\spad{pomopo!(p1,{}r,{}e,{}p2)} returns \\spad{p1 + monomial(e,{}r) * p2} and may use \\spad{p1} as workspace. The constaant \\spad{r} is assumed to be nonzero.")) (|mapExponents| (($ (|Mapping| |#3| |#3|) $) "\\spad{mapExponents(fn,{}u)} maps function \\spad{fn} onto the exponents of the non-zero monomials of polynomial \\spad{u}.")) (|minimumDegree| ((|#3| $) "\\spad{minimumDegree(p)} gives the least exponent of a non-zero term of polynomial \\spad{p}. Error: if applied to 0.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(p)} gives the number of non-zero monomials in polynomial \\spad{p}.")) (|coefficients| (((|List| |#2|) $) "\\spad{coefficients(p)} gives the list of non-zero coefficients of polynomial \\spad{p}.")) (|ground| ((|#2| $) "\\spad{ground(p)} retracts polynomial \\spad{p} to the coefficient ring.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(p)} tests if polynomial \\spad{p} is a member of the coefficient ring."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172)))) 
-(-324 R E) 
+((|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173)))) 
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 ((|constructor| (NIL "This category is similar to AbelianMonoidRing,{} except that the sum is assumed to be finite. It is a useful model for polynomials,{} but is somewhat more general.")) (|primitivePart| (($ $) "\\spad{primitivePart(p)} returns the unit normalized form of polynomial \\spad{p} divided by the content of \\spad{p}.")) (|content| ((|#1| $) "\\spad{content(p)} gives the \\spad{gcd} of the coefficients of polynomial \\spad{p}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(p,{}r)} returns the exact quotient of polynomial \\spad{p} by \\spad{r},{} or \"failed\" if none exists.")) (|binomThmExpt| (($ $ $ (|NonNegativeInteger|)) "\\spad{binomThmExpt(p,{}q,{}n)} returns \\spad{(x+y)^n} by means of the binomial theorem trick.")) (|pomopo!| (($ $ |#1| |#2| $) "\\spad{pomopo!(p1,{}r,{}e,{}p2)} returns \\spad{p1 + monomial(e,{}r) * p2} and may use \\spad{p1} as workspace. The constaant \\spad{r} is assumed to be nonzero.")) (|mapExponents| (($ (|Mapping| |#2| |#2|) $) "\\spad{mapExponents(fn,{}u)} maps function \\spad{fn} onto the exponents of the non-zero monomials of polynomial \\spad{u}.")) (|minimumDegree| ((|#2| $) "\\spad{minimumDegree(p)} gives the least exponent of a non-zero term of polynomial \\spad{p}. Error: if applied to 0.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(p)} gives the number of non-zero monomials in polynomial \\spad{p}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(p)} gives the list of non-zero coefficients of polynomial \\spad{p}.")) (|ground| ((|#1| $) "\\spad{ground(p)} retracts polynomial \\spad{p} to the coefficient ring.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(p)} tests if polynomial \\spad{p} is a member of the coefficient ring."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
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 ((|constructor| (NIL "A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\spad{append(x,{}a)} meaning append item \\spad{x} at the end of the array \\spad{a} \\spad{delete(a,{}n)} meaning delete the last item from the array \\spad{a} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets."))) 
-((-4522 . T) (-4521 . T)) 
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-(-326 S -1478) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-327 S -1564) 
 ((|constructor| (NIL "FiniteAlgebraicExtensionField \\spad{F} is the category of fields which are finite algebraic extensions of the field \\spad{F}. If \\spad{F} is finite then any finite algebraic extension of \\spad{F} is finite,{} too. Let \\spad{K} be a finite algebraic extension of the finite field \\spad{F}. The exponentiation of elements of \\spad{K} defines a \\spad{Z}-module structure on the multiplicative group of \\spad{K}. The additive group of \\spad{K} becomes a module over the ring of polynomials over \\spad{F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over \\spad{F},{} \\spadignore{i.e.} for elements a from \\spad{K},{} \\spad{c},{}\\spad{d} from \\spad{F} and \\spad{f},{}\\spad{g} univariate polynomials over \\spad{F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals \\spad{c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus \\spad{d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from \\spad{F}[\\spad{X}]: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is a**(q**k) where q=size()\\spad{\\$}\\spad{F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,{}a)} returns a polynomial \\spad{g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals a. If there is no such polynomial \\spad{g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial \\spad{g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals a.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial \\spad{g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,{}f)} is linear over \\spad{F},{} \\spadignore{i.e.} for elements a from \\spad{\\$},{} \\spad{c},{}\\spad{d} form \\spad{F} and \\spad{f},{}\\spad{g} univariate polynomials over \\spad{F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals \\spad{c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus \\spad{d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from \\spad{F}[\\spad{X}]: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is a**(q**k),{} where q=size()\\spad{\\$}\\spad{F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,{}d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note that \\spad{trace(a,{}d)=reduce(+,{}[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,{}d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note that norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,{}n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-370)))) 
-(-327 -1478) 
+((|HasCategory| |#2| (QUOTE (-371)))) 
+(-328 -1564) 
 ((|constructor| (NIL "FiniteAlgebraicExtensionField \\spad{F} is the category of fields which are finite algebraic extensions of the field \\spad{F}. If \\spad{F} is finite then any finite algebraic extension of \\spad{F} is finite,{} too. Let \\spad{K} be a finite algebraic extension of the finite field \\spad{F}. The exponentiation of elements of \\spad{K} defines a \\spad{Z}-module structure on the multiplicative group of \\spad{K}. The additive group of \\spad{K} becomes a module over the ring of polynomials over \\spad{F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over \\spad{F},{} \\spadignore{i.e.} for elements a from \\spad{K},{} \\spad{c},{}\\spad{d} from \\spad{F} and \\spad{f},{}\\spad{g} univariate polynomials over \\spad{F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals \\spad{c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus \\spad{d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from \\spad{F}[\\spad{X}]: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is a**(q**k) where q=size()\\spad{\\$}\\spad{F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") $ $) "\\spad{linearAssociatedLog(b,{}a)} returns a polynomial \\spad{g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals a. If there is no such polynomial \\spad{g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial \\spad{g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals a.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial \\spad{g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#1|)) "\\spad{linearAssociatedExp(a,{}f)} is linear over \\spad{F},{} \\spadignore{i.e.} for elements a from \\spad{\\$},{} \\spad{c},{}\\spad{d} form \\spad{F} and \\spad{f},{}\\spad{g} univariate polynomials over \\spad{F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals \\spad{c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus \\spad{d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from \\spad{F}[\\spad{X}]: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is a**(q**k),{} where q=size()\\spad{\\$}\\spad{F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,{}d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note that \\spad{trace(a,{}d)=reduce(+,{}[a**(q**(d*i)) for i in 0..n/d])}.") ((|#1| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,{}d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note that norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#1| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#1|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,{}n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-328) 
+(-329) 
 ((|constructor| (NIL "This domain builds representations of program code segments for use with the FortranProgram domain.")) (|setLabelValue| (((|SingleInteger|) (|SingleInteger|)) "\\spad{setLabelValue(i)} resets the counter which produces labels to \\spad{i}")) (|getCode| (((|SExpression|) $) "\\spad{getCode(f)} returns a Lisp list of strings representing \\spad{f} in Fortran notation. This is used by the FortranProgram domain.")) (|printCode| (((|Void|) $) "\\spad{printCode(f)} prints out \\spad{f} in FORTRAN notation.")) (|code| (((|Union| (|:| |nullBranch| "null") (|:| |assignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |arrayIndex| (|List| (|Polynomial| (|Integer|)))) (|:| |rand| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |arrayAssignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |rand| (|OutputForm|)) (|:| |ints2Floats?| (|Boolean|)))) (|:| |conditionalBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |thenClause| $) (|:| |elseClause| $))) (|:| |returnBranch| (|Record| (|:| |empty?| (|Boolean|)) (|:| |value| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |blockBranch| (|List| $)) (|:| |commentBranch| (|List| (|String|))) (|:| |callBranch| (|String|)) (|:| |forBranch| (|Record| (|:| |range| (|SegmentBinding| (|Polynomial| (|Integer|)))) (|:| |span| (|Polynomial| (|Integer|))) (|:| |body| $))) (|:| |labelBranch| (|SingleInteger|)) (|:| |loopBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |body| $))) (|:| |commonBranch| (|Record| (|:| |name| (|Symbol|)) (|:| |contents| (|List| (|Symbol|))))) (|:| |printBranch| (|List| (|OutputForm|)))) $) "\\spad{code(f)} returns the internal representation of the object represented by \\spad{f}.")) (|operation| (((|Union| (|:| |Null| "null") (|:| |Assignment| "assignment") (|:| |Conditional| "conditional") (|:| |Return| "return") (|:| |Block| "block") (|:| |Comment| "comment") (|:| |Call| "call") (|:| |For| "for") (|:| |While| "while") (|:| |Repeat| "repeat") (|:| |Goto| "goto") (|:| |Continue| "continue") (|:| |ArrayAssignment| "arrayAssignment") (|:| |Save| "save") (|:| |Stop| "stop") (|:| |Common| "common") (|:| |Print| "print")) $) "\\spad{operation(f)} returns the name of the operation represented by \\spad{f}.")) (|common| (($ (|Symbol|) (|List| (|Symbol|))) "\\spad{common(name,{}contents)} creates a representation a named common block.")) (|printStatement| (($ (|List| (|OutputForm|))) "\\spad{printStatement(l)} creates a representation of a PRINT statement.")) (|save| (($) "\\spad{save()} creates a representation of a SAVE statement.")) (|stop| (($) "\\spad{stop()} creates a representation of a STOP statement.")) (|block| (($ (|List| $)) "\\spad{block(l)} creates a representation of the statements in \\spad{l} as a block.")) (|assign| (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|Complex| (|Float|)))) "\\spad{assign(x,{}l,{}y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|Float|))) "\\spad{assign(x,{}l,{}y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|Integer|))) "\\spad{assign(x,{}l,{}y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|Vector| (|Expression| (|Complex| (|Float|))))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|Float|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|Integer|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|Complex| (|Float|))))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|Float|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|Integer|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|Complex| (|Float|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|Float|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|Integer|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|MachineComplex|))) "\\spad{assign(x,{}l,{}y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|MachineFloat|))) "\\spad{assign(x,{}l,{}y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|MachineInteger|))) "\\spad{assign(x,{}l,{}y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|Vector| (|Expression| (|MachineComplex|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|MachineFloat|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|MachineInteger|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|MachineComplex|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|MachineFloat|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|MachineInteger|)))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|MachineComplex|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|MachineFloat|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|MachineInteger|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|MachineComplex|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|MachineFloat|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|MachineInteger|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|MachineComplex|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|MachineFloat|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|MachineInteger|))) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|String|)) "\\spad{assign(x,{}y)} creates a representation of the FORTRAN expression x=y.")) (|cond| (($ (|Switch|) $ $) "\\spad{cond(s,{}e,{}f)} creates a representation of the FORTRAN expression IF (\\spad{s}) THEN \\spad{e} ELSE \\spad{f}.") (($ (|Switch|) $) "\\spad{cond(s,{}e)} creates a representation of the FORTRAN expression IF (\\spad{s}) THEN \\spad{e}.")) (|returns| (($ (|Expression| (|Complex| (|Float|)))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|Integer|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|Float|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|MachineComplex|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|MachineInteger|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|MachineFloat|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($) "\\spad{returns()} creates a representation of a FORTRAN RETURN statement.")) (|call| (($ (|String|)) "\\spad{call(s)} creates a representation of a FORTRAN CALL statement")) (|comment| (($ (|List| (|String|))) "\\spad{comment(s)} creates a representation of the Strings \\spad{s} as a multi-line FORTRAN comment.") (($ (|String|)) "\\spad{comment(s)} creates a representation of the String \\spad{s} as a single FORTRAN comment.")) (|continue| (($ (|SingleInteger|)) "\\spad{continue(l)} creates a representation of a FORTRAN CONTINUE labelled with \\spad{l}")) (|goto| (($ (|SingleInteger|)) "\\spad{goto(l)} creates a representation of a FORTRAN GOTO statement")) (|repeatUntilLoop| (($ (|Switch|) $) "\\spad{repeatUntilLoop(s,{}c)} creates a repeat ... until loop in FORTRAN.")) (|whileLoop| (($ (|Switch|) $) "\\spad{whileLoop(s,{}c)} creates a while loop in FORTRAN.")) (|forLoop| (($ (|SegmentBinding| (|Polynomial| (|Integer|))) (|Polynomial| (|Integer|)) $) "\\spad{forLoop(i=1..10,{}n,{}c)} creates a representation of a FORTRAN DO loop with \\spad{i} ranging over the values 1 to 10 by \\spad{n}.") (($ (|SegmentBinding| (|Polynomial| (|Integer|))) $) "\\spad{forLoop(i=1..10,{}c)} creates a representation of a FORTRAN DO loop with \\spad{i} ranging over the values 1 to 10.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(f)} returns an object of type OutputForm."))) 
 NIL 
 NIL 
-(-329 E) 
+(-330 E) 
 ((|constructor| (NIL "This domain creates kernels for use in Fourier series")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the argument of a given sin/cos expressions")) (|sin?| (((|Boolean|) $) "\\spad{sin?(x)} returns \\spad{true} if term is a sin,{} otherwise \\spad{false}")) (|cos| (($ |#1|) "\\spad{cos(x)} makes a cos kernel for use in Fourier series")) (|sin| (($ |#1|) "\\spad{sin(x)} makes a sin kernel for use in Fourier series"))) 
 NIL 
 NIL 
-(-330) 
+(-331) 
 ((|constructor| (NIL "\\spadtype{FortranCodePackage1} provides some utilities for producing useful objects in FortranCode domain. The Package may be used with the FortranCode domain and its \\spad{printCode} or possibly via an outputAsFortran. (The package provides items of use in connection with ASPs in the AXIOM-NAG link and,{} where appropriate,{} naming accords with that in IRENA.) The easy-to-use functions use Fortran loop variables \\spad{I1},{} \\spad{I2},{} and it is users' responsibility to check that this is sensible. The advanced functions use SegmentBinding to allow users control over Fortran loop variable names.")) (|identitySquareMatrix| (((|FortranCode|) (|Symbol|) (|Polynomial| (|Integer|))) "\\spad{identitySquareMatrix(s,{}p)} \\undocumented{}")) (|zeroSquareMatrix| (((|FortranCode|) (|Symbol|) (|Polynomial| (|Integer|))) "\\spad{zeroSquareMatrix(s,{}p)} \\undocumented{}")) (|zeroMatrix| (((|FortranCode|) (|Symbol|) (|SegmentBinding| (|Polynomial| (|Integer|))) (|SegmentBinding| (|Polynomial| (|Integer|)))) "\\spad{zeroMatrix(s,{}b,{}d)} in this version gives the user control over names of Fortran variables used in loops.") (((|FortranCode|) (|Symbol|) (|Polynomial| (|Integer|)) (|Polynomial| (|Integer|))) "\\spad{zeroMatrix(s,{}p,{}q)} uses loop variables in the Fortran,{} \\spad{I1} and \\spad{I2}")) (|zeroVector| (((|FortranCode|) (|Symbol|) (|Polynomial| (|Integer|))) "\\spad{zeroVector(s,{}p)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-331 R1 UP1 UPUP1 F1 R2 UP2 UPUP2 F2) 
+(-332 R1 UP1 UPUP1 F1 R2 UP2 UPUP2 F2) 
 ((|constructor| (NIL "Lift a map to finite divisors.")) (|map| (((|FiniteDivisor| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{map(f,{}d)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-332 S -1478 UP UPUP R) 
+(-333 S -1564 UP UPUP R) 
 ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#5| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) (|:| |principalPart| |#5|)) $) "\\spad{decompose(d)} returns \\spad{[id,{} f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#5| |#3| |#3| |#3| |#2|) "\\spad{divisor(h,{} d,{} d',{} g,{} r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,{}discriminant)} contains the ramified zeros of \\spad{d}") (($ |#2| |#2| (|Integer|)) "\\spad{divisor(a,{} b,{} n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a,{} y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#2| |#2|) "\\spad{divisor(a,{} b)} makes the divisor \\spad{P:} \\spad{(x = a,{} y = b)}. Error: if \\spad{P} is singular.") (($ |#5|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) 
 NIL 
 NIL 
-(-333 -1478 UP UPUP R) 
+(-334 -1564 UP UPUP R) 
 ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#4| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) "\\spad{decompose(d)} returns \\spad{[id,{} f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#4| |#2| |#2| |#2| |#1|) "\\spad{divisor(h,{} d,{} d',{} g,{} r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,{}discriminant)} contains the ramified zeros of \\spad{d}") (($ |#1| |#1| (|Integer|)) "\\spad{divisor(a,{} b,{} n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a,{} y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#1| |#1|) "\\spad{divisor(a,{} b)} makes the divisor \\spad{P:} \\spad{(x = a,{} y = b)}. Error: if \\spad{P} is singular.") (($ |#4|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) 
 NIL 
 NIL 
-(-334 -1478 UP UPUP R) 
+(-335 -1564 UP UPUP R) 
 ((|constructor| (NIL "This domains implements finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|lSpaceBasis| (((|Vector| |#4|) $) "\\spad{lSpaceBasis(d)} returns a basis for \\spad{L(d) = {f | (f) >= -d}} as a module over \\spad{K[x]}.")) (|finiteBasis| (((|Vector| |#4|) $) "\\spad{finiteBasis(d)} returns a basis for \\spad{d} as a module over \\spad{K}[\\spad{x}]."))) 
 NIL 
 NIL 
-(-335 S R) 
+(-336 S R) 
 ((|constructor| (NIL "This category provides a selection of evaluation operations depending on what the argument type \\spad{R} provides.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,{} ex)} evaluates ex,{} applying \\spad{f} to values of type \\spad{R} in ex."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -281) (|devaluate| |#2|) (|devaluate| |#2|)))) 
-(-336 R) 
+((|HasCategory| |#2| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -282) (|devaluate| |#2|) (|devaluate| |#2|)))) 
+(-337 R) 
 ((|constructor| (NIL "This category provides a selection of evaluation operations depending on what the argument type \\spad{R} provides.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{} ex)} evaluates ex,{} applying \\spad{f} to values of type \\spad{R} in ex."))) 
 NIL 
 NIL 
-(-337 |basicSymbols| |subscriptedSymbols| R) 
+(-338 |basicSymbols| |subscriptedSymbols| R) 
 ((|constructor| (NIL "A domain of expressions involving functions which can be translated into standard Fortran-77,{} with some extra extensions from the NAG Fortran Library.")) (|useNagFunctions| (((|Boolean|) (|Boolean|)) "\\spad{useNagFunctions(v)} sets the flag which controls whether NAG functions \\indented{1}{are being used for mathematical and machine constants.\\space{2}The previous} \\indented{1}{value is returned.}") (((|Boolean|)) "\\spad{useNagFunctions()} indicates whether NAG functions are being used \\indented{1}{for mathematical and machine constants.}")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(e)} return a list of all the variables in \\spad{e}.")) (|pi| (($) "\\spad{\\spad{pi}(x)} represents the NAG Library function X01AAF which returns \\indented{1}{an approximation to the value of \\spad{pi}}")) (|tanh| (($ $) "\\spad{tanh(x)} represents the Fortran intrinsic function TANH")) (|cosh| (($ $) "\\spad{cosh(x)} represents the Fortran intrinsic function COSH")) (|sinh| (($ $) "\\spad{sinh(x)} represents the Fortran intrinsic function SINH")) (|atan| (($ $) "\\spad{atan(x)} represents the Fortran intrinsic function ATAN")) (|acos| (($ $) "\\spad{acos(x)} represents the Fortran intrinsic function ACOS")) (|asin| (($ $) "\\spad{asin(x)} represents the Fortran intrinsic function ASIN")) (|tan| (($ $) "\\spad{tan(x)} represents the Fortran intrinsic function TAN")) (|cos| (($ $) "\\spad{cos(x)} represents the Fortran intrinsic function COS")) (|sin| (($ $) "\\spad{sin(x)} represents the Fortran intrinsic function SIN")) (|log10| (($ $) "\\spad{log10(x)} represents the Fortran intrinsic function \\spad{LOG10}")) (|log| (($ $) "\\spad{log(x)} represents the Fortran intrinsic function LOG")) (|exp| (($ $) "\\spad{exp(x)} represents the Fortran intrinsic function EXP")) (|sqrt| (($ $) "\\spad{sqrt(x)} represents the Fortran intrinsic function SQRT")) (|abs| (($ $) "\\spad{abs(x)} represents the Fortran intrinsic function ABS")) (|coerce| (((|Expression| |#3|) $) "\\spad{coerce(x)} is not documented")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| (|Float|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Expression| (|Float|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Expression| (|Integer|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Symbol|)) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it is one of the given basic symbols or subscripted symbols which correspond to scalar and array parameters respectively.") (((|Union| $ "failed") (|Expression| |#3|)) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.")) (|retract| (($ (|Polynomial| (|Float|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Expression| (|Float|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Polynomial| (|Integer|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Expression| (|Integer|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Symbol|)) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it is one of the given basic symbols or subscripted symbols which correspond to scalar and array parameters respectively.") (($ (|Expression| |#3|)) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression checking that it contains no non-Fortran functions,{} and that it only contains the given basic symbols and subscripted symbols which correspond to scalar and array parameters respectively."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#3| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#3| (LIST (QUOTE -1037) (QUOTE (-381)))) (|HasCategory| $ (QUOTE (-1047))) (|HasCategory| $ (LIST (QUOTE -1037) (QUOTE (-568))))) 
-(-338 R1 UP1 UPUP1 F1 R2 UP2 UPUP2 F2) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-382)))) (|HasCategory| $ (QUOTE (-1048))) (|HasCategory| $ (LIST (QUOTE -1038) (QUOTE (-569))))) 
+(-339 R1 UP1 UPUP1 F1 R2 UP2 UPUP2 F2) 
 ((|constructor| (NIL "Lifts a map from rings to function fields over them.")) (|map| ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f,{} p)} lifts \\spad{f} to \\spad{F1} and applies it to \\spad{p}."))) 
 NIL 
 NIL 
-(-339 S -1478 UP UPUP) 
+(-340 S -1564 UP UPUP) 
 ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\indented{1}{rationalPoints() returns the list of all the affine} rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in \\spad{u1},{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f,{} D)} returns \\spad{[h,{}d,{}d',{}g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d,{} discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,{}a,{}b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a,{} y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x,{} d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(\\spad{wi})} with respect to \\spad{(w1,{}...,{}wn)} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,{}...,{}An],{} D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,{}...,{}A(n-1)],{}D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.") (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,{}...,{}A(n-1)],{}D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\indented{1}{inverseIntegralMatrixAtInfinity() returns \\spad{M} such} \\indented{1}{that \\spad{M (v1,{}...,{}vn) = (1,{} y,{} ...,{} y**(n-1))}} \\indented{1}{where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity} \\indented{1}{returned by \\spad{infIntBasis()}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} inverseIntegralMatrixAtInfinity()\\$\\spad{R}")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\indented{1}{integralMatrixAtInfinity() returns \\spad{M} such that} \\indented{1}{\\spad{(v1,{}...,{}vn) = M (1,{} y,{} ...,{} y**(n-1))}} \\indented{1}{where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity} \\indented{1}{returned by \\spad{infIntBasis()}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralMatrixAtInfinity()\\$\\spad{R}")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\indented{1}{inverseIntegralMatrix() returns \\spad{M} such that} \\indented{1}{\\spad{M (w1,{}...,{}wn) = (1,{} y,{} ...,{} y**(n-1))}} \\indented{1}{where \\spad{(w1,{}...,{}wn)} is the integral basis of} \\indented{1}{\\spadfunFrom{integralBasis}{FunctionFieldCategory}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} inverseIntegralMatrix()\\$\\spad{R}")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\indented{1}{integralMatrix() returns \\spad{M} such that} \\indented{1}{\\spad{(w1,{}...,{}wn) = M (1,{} y,{} ...,{} y**(n-1))},{}} \\indented{1}{where \\spad{(w1,{}...,{}wn)} is the integral basis of} \\indented{1}{\\spadfunFrom{integralBasis}{FunctionFieldCategory}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralMatrix()\\$\\spad{R}")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,{}...,{}bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,{}...,{}bn)} returns the complementary basis \\spad{(b1',{}...,{}bn')} of \\spad{(b1,{}...,{}bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f,{} p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}") (((|Boolean|) $ |#2|) "\\spad{integral?(f,{} a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\indented{1}{integralBasisAtInfinity() returns the local integral basis} \\indented{1}{at infinity} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralBasisAtInfinity()\\$\\spad{R}")) (|integralBasis| (((|Vector| $)) "\\indented{1}{integralBasis() returns the integral basis for the curve.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralBasis()\\$\\spad{R}")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\indented{1}{branchPointAtInfinity?() tests if there is a branch point} \\indented{1}{at infinity.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} branchPointAtInfinity?()\\$\\spad{R} \\spad{X} \\spad{R2} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 2 * \\spad{x**2},{} 4) \\spad{X} branchPointAtInfinity?()\\$\\spad{R}")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\indented{1}{rationalPoint?(a,{} \\spad{b}) tests if \\spad{(x=a,{}y=b)} is on the curve.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} rationalPoint?(0,{}0)\\$\\spad{R} \\spad{X} \\spad{R2} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 2 * \\spad{x**2},{} 4) \\spad{X} rationalPoint?(0,{}0)\\$\\spad{R2}")) (|absolutelyIrreducible?| (((|Boolean|)) "\\indented{1}{absolutelyIrreducible?() tests if the curve absolutely irreducible?} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R2} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 2 * \\spad{x**2},{} 4) \\spad{X} absolutelyIrreducible?()\\$\\spad{R2}")) (|genus| (((|NonNegativeInteger|)) "\\indented{1}{genus() returns the genus of one absolutely irreducible component} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} genus()\\$\\spad{R}")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\indented{1}{numberOfComponents() returns the number of absolutely irreducible} \\indented{1}{components.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} numberOfComponents()\\$\\spad{R}"))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-370))) (|HasCategory| |#2| (QUOTE (-365)))) 
-(-340 -1478 UP UPUP) 
+((|HasCategory| |#2| (QUOTE (-371))) (|HasCategory| |#2| (QUOTE (-366)))) 
+(-341 -1564 UP UPUP) 
 ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\indented{1}{rationalPoints() returns the list of all the affine} rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in \\spad{u1},{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\spad{algSplitSimple(f,{} D)} returns \\spad{[h,{}d,{}d',{}g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d,{} discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\spad{elt(f,{}a,{}b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a,{} y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x,{} d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(\\spad{wi})} with respect to \\spad{(w1,{}...,{}wn)} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#2|) |#2|) "\\spad{integralRepresents([A1,{}...,{}An],{} D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,{}...,{}A(n-1)],{}D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.") (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,{}...,{}A(n-1)],{}D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\indented{1}{inverseIntegralMatrixAtInfinity() returns \\spad{M} such} \\indented{1}{that \\spad{M (v1,{}...,{}vn) = (1,{} y,{} ...,{} y**(n-1))}} \\indented{1}{where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity} \\indented{1}{returned by \\spad{infIntBasis()}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} inverseIntegralMatrixAtInfinity()\\$\\spad{R}")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\indented{1}{integralMatrixAtInfinity() returns \\spad{M} such that} \\indented{1}{\\spad{(v1,{}...,{}vn) = M (1,{} y,{} ...,{} y**(n-1))}} \\indented{1}{where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity} \\indented{1}{returned by \\spad{infIntBasis()}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralMatrixAtInfinity()\\$\\spad{R}")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\indented{1}{inverseIntegralMatrix() returns \\spad{M} such that} \\indented{1}{\\spad{M (w1,{}...,{}wn) = (1,{} y,{} ...,{} y**(n-1))}} \\indented{1}{where \\spad{(w1,{}...,{}wn)} is the integral basis of} \\indented{1}{\\spadfunFrom{integralBasis}{FunctionFieldCategory}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} inverseIntegralMatrix()\\$\\spad{R}")) (|integralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\indented{1}{integralMatrix() returns \\spad{M} such that} \\indented{1}{\\spad{(w1,{}...,{}wn) = M (1,{} y,{} ...,{} y**(n-1))},{}} \\indented{1}{where \\spad{(w1,{}...,{}wn)} is the integral basis of} \\indented{1}{\\spadfunFrom{integralBasis}{FunctionFieldCategory}.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralMatrix()\\$\\spad{R}")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,{}...,{}bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,{}...,{}bn)} returns the complementary basis \\spad{(b1',{}...,{}bn')} of \\spad{(b1,{}...,{}bn)}.")) (|integral?| (((|Boolean|) $ |#2|) "\\spad{integral?(f,{} p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}") (((|Boolean|) $ |#1|) "\\spad{integral?(f,{} a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\indented{1}{integralBasisAtInfinity() returns the local integral basis} \\indented{1}{at infinity} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralBasisAtInfinity()\\$\\spad{R}")) (|integralBasis| (((|Vector| $)) "\\indented{1}{integralBasis() returns the integral basis for the curve.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} integralBasis()\\$\\spad{R}")) (|ramified?| (((|Boolean|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\indented{1}{branchPointAtInfinity?() tests if there is a branch point} \\indented{1}{at infinity.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} branchPointAtInfinity?()\\$\\spad{R} \\spad{X} \\spad{R2} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 2 * \\spad{x**2},{} 4) \\spad{X} branchPointAtInfinity?()\\$\\spad{R}")) (|rationalPoint?| (((|Boolean|) |#1| |#1|) "\\indented{1}{rationalPoint?(a,{} \\spad{b}) tests if \\spad{(x=a,{}y=b)} is on the curve.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} rationalPoint?(0,{}0)\\$\\spad{R} \\spad{X} \\spad{R2} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 2 * \\spad{x**2},{} 4) \\spad{X} rationalPoint?(0,{}0)\\$\\spad{R2}")) (|absolutelyIrreducible?| (((|Boolean|)) "\\indented{1}{absolutelyIrreducible?() tests if the curve absolutely irreducible?} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R2} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 2 * \\spad{x**2},{} 4) \\spad{X} absolutelyIrreducible?()\\$\\spad{R2}")) (|genus| (((|NonNegativeInteger|)) "\\indented{1}{genus() returns the genus of one absolutely irreducible component} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} genus()\\$\\spad{R}")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\indented{1}{numberOfComponents() returns the number of absolutely irreducible} \\indented{1}{components.} \\blankline \\spad{X} \\spad{P0} \\spad{:=} UnivariatePolynomial(\\spad{x},{} Integer) \\spad{X} \\spad{P1} \\spad{:=} UnivariatePolynomial(\\spad{y},{} Fraction \\spad{P0}) \\spad{X} \\spad{R} \\spad{:=} RadicalFunctionField(INT,{} \\spad{P0},{} \\spad{P1},{} 1 - \\spad{x**20},{} 20) \\spad{X} numberOfComponents()\\$\\spad{R}"))) 
-((-4514 |has| (-409 |#2|) (-365)) (-4519 |has| (-409 |#2|) (-365)) (-4513 |has| (-409 |#2|) (-365)) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 |has| (-410 |#2|) (-366)) (-4533 |has| (-410 |#2|) (-366)) (-4527 |has| (-410 |#2|) (-366)) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-341 |p| |extdeg|) 
+(-342 |p| |extdeg|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroup(\\spad{p},{}\\spad{n}) implements a finite field extension of degee \\spad{n} over the prime field with \\spad{p} elements. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by createPrimitivePoly from \\spadtype{FiniteFieldPolynomialPackage}. The Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-905 |#1|) (QUOTE (-150))) (|HasCategory| (-905 |#1|) (QUOTE (-370))) (|HasCategory| (-905 |#1|) (QUOTE (-148))) (-2199 (|HasCategory| (-905 |#1|) (QUOTE (-148))) (|HasCategory| (-905 |#1|) (QUOTE (-370))))) 
-(-342 GF |defpol|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-906 |#1|) (QUOTE (-151))) (|HasCategory| (-906 |#1|) (QUOTE (-371))) (|HasCategory| (-906 |#1|) (QUOTE (-149))) (-2232 (|HasCategory| (-906 |#1|) (QUOTE (-149))) (|HasCategory| (-906 |#1|) (QUOTE (-371))))) 
+(-343 GF |defpol|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(\\spad{GF},{}defpol) implements a finite extension field of the ground field \\spad{GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial defpol,{} which MUST be primitive (user responsibility). Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field it is used to perform additions in the field quickly."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-148))) (-2199 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370))))) 
-(-343 GF |extdeg|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-149))) (-2232 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371))))) 
+(-344 GF |extdeg|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(\\spad{GF},{}\\spad{n}) implements a extension of degree \\spad{n} over the ground field \\spad{GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by createPrimitivePoly from \\spadtype{FiniteFieldPolynomialPackage}. Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-148))) (-2199 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370))))) 
-(-344 K |PolK|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-149))) (-2232 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371))))) 
+(-345 K |PolK|) 
 ((|constructor| (NIL "Part of the package for Algebraic Function Fields in one variable (\\spad{PAFF}) It has been modified (very slitely) so that each time the \"factor\" function is used,{} the variable related to the size of the field over which the polynomial is factorized is reset. This is done in order to be used with a \"dynamic extension field\" which size is not fixed but set before calling the \"factor\" function and which is parse by side effect to this package via the function \"size\". See the local function \"initialize\" of this package."))) 
 NIL 
 NIL 
-(-345 -3192 V VF) 
+(-346 -3022 V VF) 
 ((|constructor| (NIL "This package lifts the interpolation functions from \\spadtype{FractionFreeFastGaussian} to fractions. The packages defined in this file provide fast fraction free rational interpolation algorithms. (see \\spad{FAMR2},{} FFFG,{} FFFGF,{} NEWTON)")) (|generalInterpolation| (((|Stream| (|Matrix| (|SparseUnivariatePolynomial| |#1|))) (|List| |#1|) (|Mapping| |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) (|Vector| |#3|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generalInterpolation(l,{} CA,{} f,{} sumEta,{} maxEta)} applies generalInterpolation(\\spad{l},{} \\spad{CA},{} \\spad{f},{} eta) for all possible eta with maximal entry maxEta and sum of entries \\spad{sumEta}") (((|Matrix| (|SparseUnivariatePolynomial| |#1|)) (|List| |#1|) (|Mapping| |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) (|Vector| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{generalInterpolation(l,{} CA,{} f,{} eta)} performs Hermite-Pade approximation using the given action \\spad{CA} of polynomials on the elements of \\spad{f}. The result is guaranteed to be correct up to order |eta|-1. Given that eta is a \"normal\" point,{} the degrees on the diagonal are given by eta. The degrees of column \\spad{i} are in this case eta + \\spad{e}.\\spad{i} - [1,{}1,{}...,{}1],{} where the degree of zero is \\spad{-1}."))) 
 NIL 
 NIL 
-(-346 -3192 V) 
+(-347 -3022 V) 
 ((|constructor| (NIL "This package implements the interpolation algorithm proposed in Beckermann,{} Bernhard and Labahn,{} George,{} Fraction-free computation of matrix rational interpolants and matrix GCDs,{} SIAM Journal on Matrix Analysis and Applications 22. The packages defined in this file provide fast fraction free rational interpolation algorithms. (see \\spad{FAMR2},{} FFFG,{} FFFGF,{} NEWTON)")) (|qShiftC| (((|List| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{qShiftC} gives the coefficients \\spad{c_}{\\spad{k},{}\\spad{k}} in the expansion  \\spad{z} \\spad{g}(\\spad{x}) = sum_{\\spad{i=0}}\\spad{^k} \\spad{c_}{\\spad{k},{}\\spad{i}}  \\spad{g}(\\spad{x}),{} where \\spad{z} acts on \\spad{g}(\\spad{x}) by shifting. In fact,{} the result is [1,{}\\spad{q},{}\\spad{q^2},{}...]")) (|qShiftAction| ((|#1| |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) "\\spad{qShiftAction(q,{} k,{} l,{} g)} gives the coefficient of \\spad{x^k} in \\spad{z^l} \\spad{g}(\\spad{x}),{} where \\spad{z*}(a+b*x+c*x^2+d*x^3+...) = (a+q*b*x+q^2*c*x^2+q^3*d*x^3+...). In terms of sequences,{} z*u(\\spad{n})=q^n*u(\\spad{n}).")) (|DiffC| (((|List| |#1|) (|NonNegativeInteger|)) "\\spad{DiffC} gives the coefficients \\spad{c_}{\\spad{k},{}\\spad{k}} in the expansion  \\spad{z} \\spad{g}(\\spad{x}) = sum_{\\spad{i=0}}\\spad{^k} \\spad{c_}{\\spad{k},{}\\spad{i}}  \\spad{g}(\\spad{x}),{} where \\spad{z} acts on \\spad{g}(\\spad{x}) by shifting. In fact,{} the result is [0,{}0,{}0,{}...]")) (|DiffAction| ((|#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) "\\spad{DiffAction(k,{} l,{} g)} gives the coefficient of \\spad{x^k} in \\spad{z^l} \\spad{g}(\\spad{x}),{} where \\spad{z*}(a+b*x+c*x^2+d*x^3+...) = (a*x+b*x^2+c*x^3+...),{} \\spadignore{i.e.} multiplication with \\spad{x}.")) (|ShiftC| (((|List| |#1|) (|NonNegativeInteger|)) "\\spad{ShiftC} gives the coefficients \\spad{c_}{\\spad{k},{}\\spad{k}} in the expansion  \\spad{z} \\spad{g}(\\spad{x}) = sum_{\\spad{i=0}}\\spad{^k} \\spad{c_}{\\spad{k},{}\\spad{i}}  \\spad{g}(\\spad{x}),{} where \\spad{z} acts on \\spad{g}(\\spad{x}) by shifting. In fact,{} the result is [0,{}1,{}2,{}...]")) (|ShiftAction| ((|#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) "\\spad{ShiftAction(k,{} l,{} g)} gives the coefficient of \\spad{x^k} in \\spad{z^l} \\spad{g}(\\spad{x}),{} where \\spad{z*(a+b*x+c*x^2+d*x^3+...) = (b*x+2*c*x^2+3*d*x^3+...)}. In terms of sequences,{} z*u(\\spad{n})=n*u(\\spad{n}).")) (|generalCoefficient| ((|#1| (|Mapping| |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) (|Vector| |#2|) (|NonNegativeInteger|) (|Vector| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalCoefficient(action,{} f,{} k,{} p)} gives the coefficient of \\spad{x^k} in \\spad{p}(\\spad{z})\\dot \\spad{f}(\\spad{x}),{} where the \\spad{action} of \\spad{z^l} on a polynomial in \\spad{x} is given by \\spad{action},{} \\spadignore{i.e.} \\spad{action}(\\spad{k},{} \\spad{l},{} \\spad{f}) should return the coefficient of \\spad{x^k} in \\spad{z^l} \\spad{f}(\\spad{x}).")) (|generalInterpolation| (((|Stream| (|Matrix| (|SparseUnivariatePolynomial| |#1|))) (|List| |#1|) (|Mapping| |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) (|Vector| |#2|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generalInterpolation(C,{} CA,{} f,{} sumEta,{} maxEta)} applies \\spad{generalInterpolation(C,{} CA,{} f,{} eta)} for all possible \\spad{eta} with maximal entry \\spad{maxEta} and sum of entries at most \\spad{sumEta}. \\blankline The first argument \\spad{C} is the list of coefficients \\spad{c_}{\\spad{k},{}\\spad{k}} in the expansion  \\spad{z} \\spad{g}(\\spad{x}) = sum_{\\spad{i=0}}\\spad{^k} \\spad{c_}{\\spad{k},{}\\spad{i}}  \\spad{g}(\\spad{x}). \\blankline The second argument,{} \\spad{CA}(\\spad{k},{} \\spad{l},{} \\spad{f}),{} should return the coefficient of \\spad{x^k} in \\spad{z^l} \\spad{f}(\\spad{x}).") (((|Matrix| (|SparseUnivariatePolynomial| |#1|)) (|List| |#1|) (|Mapping| |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) (|Vector| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{generalInterpolation(C,{} CA,{} f,{} eta)} performs Hermite-Pade approximation using the given action \\spad{CA} of polynomials on the elements of \\spad{f}. The result is guaranteed to be correct up to order |eta|-1. Given that eta is a \"normal\" point,{} the degrees on the diagonal are given by eta. The degrees of column \\spad{i} are in this case eta + \\spad{e}.\\spad{i} - [1,{}1,{}...,{}1],{} where the degree of zero is \\spad{-1}. \\blankline The first argument \\spad{C} is the list of coefficients \\spad{c_}{\\spad{k},{}\\spad{k}} in the expansion  \\spad{z} \\spad{g}(\\spad{x}) = sum_{\\spad{i=0}}\\spad{^k} \\spad{c_}{\\spad{k},{}\\spad{i}}  \\spad{g}(\\spad{x}). \\blankline The second argument,{} \\spad{CA}(\\spad{k},{} \\spad{l},{} \\spad{f}),{} should return the coefficient of \\spad{x^k} in \\spad{z^l} \\spad{f}(\\spad{x}).")) (|interpolate| (((|Fraction| (|SparseUnivariatePolynomial| |#1|)) (|List| (|Fraction| |#1|)) (|List| (|Fraction| |#1|)) (|NonNegativeInteger|)) "\\spad{interpolate(xlist,{} ylist,{} deg} returns the rational function with numerator degree \\spad{deg} that interpolates the given points using fraction free arithmetic.") (((|Fraction| (|SparseUnivariatePolynomial| |#1|)) (|List| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{interpolate(xlist,{} ylist,{} deg} returns the rational function with numerator degree at most \\spad{deg} and denominator degree at most \\spad{\\#xlist-deg-1} that interpolates the given points using fraction free arithmetic. Note that rational interpolation does not guarantee that all given points are interpolated correctly: unattainable points may make this impossible.")) (|fffg| (((|Matrix| (|SparseUnivariatePolynomial| |#1|)) (|List| |#1|) (|Mapping| |#1| (|NonNegativeInteger|) (|Vector| (|SparseUnivariatePolynomial| |#1|))) (|List| (|NonNegativeInteger|))) "\\spad{fffg} is the general algorithm as proposed by Beckermann and Labahn. \\blankline The first argument is the list of \\spad{c_}{\\spad{i},{}\\spad{i}}. These are the only values of \\spad{C} explicitely needed in \\spad{fffg}. \\blankline The second argument \\spad{c},{} computes \\spad{c_k}(\\spad{M}),{} \\spadignore{i.e.} \\spad{c_k}(.) is the dual basis of the vector space \\spad{V},{} but also knows about the special multiplication rule as descibed in Equation (2). Note that the information about \\spad{f} is therefore encoded in \\spad{c}. \\blankline The third argument is the vector of degree bounds \\spad{n},{} as introduced in Definition 2.1. In particular,{} the sum of the entries is the order of the Mahler system computed."))) 
 NIL 
 NIL 
-(-347 GF) 
+(-348 GF) 
 ((|constructor| (NIL "FiniteFieldFunctions(\\spad{GF}) is a package with functions concerning finite extension fields of the finite ground field \\spad{GF},{} \\spadignore{e.g.} Zech logarithms.")) (|createLowComplexityNormalBasis| (((|Union| (|SparseUnivariatePolynomial| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) (|PositiveInteger|)) "\\spad{createLowComplexityNormalBasis(n)} tries to find a a low complexity normal basis of degree \\spad{n} over \\spad{GF} and returns its multiplication matrix If no low complexity basis is found it calls \\axiomFunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}(\\spad{n}) to produce a normal polynomial of degree \\spad{n} over \\spad{GF}")) (|createLowComplexityTable| (((|Union| (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) "failed") (|PositiveInteger|)) "\\spad{createLowComplexityTable(n)} tries to find a low complexity normal basis of degree \\spad{n} over \\spad{GF} and returns its multiplication matrix Fails,{} if it does not find a low complexity basis")) (|sizeMultiplication| (((|NonNegativeInteger|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{sizeMultiplication(m)} returns the number of entries of the multiplication table \\spad{m}.")) (|createMultiplicationMatrix| (((|Matrix| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{createMultiplicationMatrix(m)} forms the multiplication table \\spad{m} into a matrix over the ground field.")) (|createMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createMultiplicationTable(f)} generates a multiplication table for the normal basis of the field extension determined by \\spad{f}. This is needed to perform multiplications between elements represented as coordinate vectors to this basis. See \\spadtype{FFNBP},{} \\spadtype{FFNBX}.")) (|createZechTable| (((|PrimitiveArray| (|SingleInteger|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createZechTable(f)} generates a Zech logarithm table for the cyclic group representation of a extension of the ground field by the primitive polynomial \\spad{f}(\\spad{x}),{} \\spadignore{i.e.} \\spad{Z(i)},{} defined by x**Z(\\spad{i}) = 1+x**i is stored at index \\spad{i}. This is needed in particular to perform addition of field elements in finite fields represented in this way. See \\spadtype{FFCGP},{} \\spadtype{FFCGX}."))) 
 NIL 
 NIL 
-(-348 F1 GF F2) 
+(-349 F1 GF F2) 
 ((|constructor| (NIL "FiniteFieldHomomorphisms(\\spad{F1},{}\\spad{GF},{}\\spad{F2}) exports coercion functions of elements between the fields \\spad{F1} and \\spad{F2},{} which both must be finite simple algebraic extensions of the finite ground field \\spad{GF}.")) (|coerce| ((|#1| |#3|) "\\spad{coerce(x)} is the homomorphic image of \\spad{x} from \\spad{F2} in \\spad{F1},{} where coerce is a field homomorphism between the fields extensions \\spad{F2} and \\spad{F1} both over ground field \\spad{GF} (the second argument to the package). Error: if the extension degree of \\spad{F2} doesn\\spad{'t} divide the extension degree of \\spad{F1}. Note that the other coercion function in the \\spadtype{FiniteFieldHomomorphisms} is a left inverse.") ((|#3| |#1|) "\\spad{coerce(x)} is the homomorphic image of \\spad{x} from \\spad{F1} in \\spad{F2}. Thus coerce is a field homomorphism between the fields extensions \\spad{F1} and \\spad{F2} both over ground field \\spad{GF} (the second argument to the package). Error: if the extension degree of \\spad{F1} doesn\\spad{'t} divide the extension degree of \\spad{F2}. Note that the other coercion function in the \\spadtype{FiniteFieldHomomorphisms} is a left inverse."))) 
 NIL 
 NIL 
-(-349 S) 
+(-350 S) 
 ((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note that see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,{}n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of a. Note that such a root is alway defined in finite fields."))) 
 NIL 
 NIL 
-(-350) 
+(-351) 
 ((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note that see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,{}n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of a. Note that such a root is alway defined in finite fields."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-351 R UP -1478) 
+(-352 R UP -1564) 
 ((|constructor| (NIL "Integral bases for function fields of dimension one In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
-(-352 |p| |extdeg|) 
+(-353 |p| |extdeg|) 
 ((|constructor| (NIL "FiniteFieldNormalBasis(\\spad{p},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the prime field with \\spad{p} elements. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial created by createNormalPoly")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: The time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| (|PrimeField| |#1|))) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| (|PrimeField| |#1|)) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-905 |#1|) (QUOTE (-150))) (|HasCategory| (-905 |#1|) (QUOTE (-370))) (|HasCategory| (-905 |#1|) (QUOTE (-148))) (-2199 (|HasCategory| (-905 |#1|) (QUOTE (-148))) (|HasCategory| (-905 |#1|) (QUOTE (-370))))) 
-(-353 GF |uni|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-906 |#1|) (QUOTE (-151))) (|HasCategory| (-906 |#1|) (QUOTE (-371))) (|HasCategory| (-906 |#1|) (QUOTE (-149))) (-2232 (|HasCategory| (-906 |#1|) (QUOTE (-149))) (|HasCategory| (-906 |#1|) (QUOTE (-371))))) 
+(-354 GF |uni|) 
 ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}uni) implements a finite extension of the ground field \\spad{GF}. The elements are represented by coordinate vectors with respect to. a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element,{} where \\spad{q} is the size of \\spad{GF}. The normal element is chosen as a root of the extension polynomial,{} which MUST be normal over \\spad{GF} (user responsibility)")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-148))) (-2199 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370))))) 
-(-354 GF |extdeg|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-149))) (-2232 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371))))) 
+(-355 GF |extdeg|) 
 ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the ground field \\spad{GF}. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial,{} created by createNormalPoly from \\spadtype{FiniteFieldPolynomialPackage}")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-148))) (-2199 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370))))) 
-(-355 |p| |n|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-149))) (-2232 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371))))) 
+(-356 |p| |n|) 
 ((|constructor| (NIL "FiniteField(\\spad{p},{}\\spad{n}) implements finite fields with p**n elements. This packages checks that \\spad{p} is prime. For a non-checking version,{} see \\spadtype{InnerFiniteField}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-905 |#1|) (QUOTE (-150))) (|HasCategory| (-905 |#1|) (QUOTE (-370))) (|HasCategory| (-905 |#1|) (QUOTE (-148))) (-2199 (|HasCategory| (-905 |#1|) (QUOTE (-148))) (|HasCategory| (-905 |#1|) (QUOTE (-370))))) 
-(-356 GF |defpol|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-906 |#1|) (QUOTE (-151))) (|HasCategory| (-906 |#1|) (QUOTE (-371))) (|HasCategory| (-906 |#1|) (QUOTE (-149))) (-2232 (|HasCategory| (-906 |#1|) (QUOTE (-149))) (|HasCategory| (-906 |#1|) (QUOTE (-371))))) 
+(-357 GF |defpol|) 
 ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} defpol) implements the extension of the finite field \\spad{GF} generated by the extension polynomial defpol which MUST be irreducible."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-148))) (-2199 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370))))) 
-(-357 -1478 GF) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-149))) (-2232 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371))))) 
+(-358 -1564 GF) 
 ((|constructor| (NIL "\\spad{FiniteFieldPolynomialPackage2}(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field \\spad{GF} and an algebraic extension \\spad{F} of \\spad{GF},{} \\spadignore{e.g.} a zero of a polynomial over \\spad{GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of \\spad{F} over \\spad{GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over \\spad{F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-358 GF) 
+(-359 GF) 
 ((|constructor| (NIL "This package provides a number of functions for generating,{} counting and testing irreducible,{} normal,{} primitive,{} random polynomials over finite fields.")) (|reducedQPowers| (((|PrimitiveArray| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reducedQPowers(f)} generates \\spad{[x,{}x**q,{}x**(q**2),{}...,{}x**(q**(n-1))]} reduced modulo \\spad{f} where \\spad{q = size()\\$GF} and \\spad{n = degree f}.")) (|leastAffineMultiple| (((|SparseUnivariatePolynomial| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{leastAffineMultiple(f)} computes the least affine polynomial which is divisible by the polynomial \\spad{f} over the finite field \\spad{GF},{} \\spadignore{i.e.} a polynomial whose exponents are 0 or a power of \\spad{q},{} the size of \\spad{GF}.")) (|random| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{random(m,{}n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{d} over the finite field \\spad{GF},{} \\spad{d} between \\spad{m} and \\spad{n}.") (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{random(n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{n} over the finite field \\spad{GF}.")) (|nextPrimitiveNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitiveNormalPoly(f)} yields the next primitive normal polynomial over a finite field \\spad{GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note that the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the lookup of the constant term of \\spad{f} is less than this number for \\spad{g} or,{} in case these numbers are equal,{} if the lookup of the coefficient of the term of degree \\spad{n}-1 of \\spad{f} is less than this number for \\spad{g}. If these numbers are equals,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g},{} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are coefficients according to the lexicographic ordering induced by the ordering of the elements of \\spad{GF} given by lookup. This operation is equivalent to nextNormalPrimitivePoly(\\spad{f}).")) (|nextNormalPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPrimitivePoly(f)} yields the next normal primitive polynomial over a finite field \\spad{GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note that the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the lookup of the constant term of \\spad{f} is less than this number for \\spad{g} or if lookup of the coefficient of the term of degree \\spad{n}-1 of \\spad{f} is less than this number for \\spad{g}. Otherwise,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of \\spad{GF} given by lookup. This operation is equivalent to nextPrimitiveNormalPoly(\\spad{f}).")) (|nextNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPoly(f)} yields the next normal polynomial over a finite field \\spad{GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note that the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the lookup of the coefficient of the term of degree \\spad{n}-1 of \\spad{f} is less than that for \\spad{g}. In case these numbers are equal,{} \\spad{f < g} if if the number of monomials of \\spad{f} is less that for \\spad{g} or if the list of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of \\spad{GF} given by lookup.")) (|nextPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitivePoly(f)} yields the next primitive polynomial over a finite field \\spad{GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note that the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the lookup of the constant term of \\spad{f} is less than this number for \\spad{g}. If these values are equal,{} then \\spad{f < g} if if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of \\spad{GF} given by lookup.")) (|nextIrreduciblePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextIrreduciblePoly(f)} yields the next monic irreducible polynomial over a finite field \\spad{GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note that the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than this number for \\spad{g}. If \\spad{f} and \\spad{g} have the same number of monomials,{} the lists of exponents are compared lexicographically. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of \\spad{GF} given by lookup.")) (|createPrimitiveNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitiveNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field \\spad{GF}. polynomial of degree \\spad{n} over the field \\spad{GF}.")) (|createNormalPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field \\spad{GF}. Note that this function is equivalent to createPrimitiveNormalPoly(\\spad{n})")) (|createNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal polynomial of degree \\spad{n} over the finite field \\spad{GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a primitive polynomial of degree \\spad{n} over the finite field \\spad{GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field \\spad{GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of normal polynomials of degree \\spad{n} over the finite field \\spad{GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of primitive polynomials of degree \\spad{n} over the finite field \\spad{GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of monic irreducible univariate polynomials of degree \\spad{n} over the finite field \\spad{GF}.")) (|normal?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{normal?(f)} tests whether the polynomial \\spad{f} over a finite field is normal,{} \\spadignore{i.e.} its roots are linearly independent over the field.")) (|primitive?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{primitive?(f)} tests whether the polynomial \\spad{f} over a finite field is primitive,{} \\spadignore{i.e.} all its roots are primitive."))) 
 NIL 
 NIL 
-(-359 -1478 FP FPP) 
+(-360 -1564 FP FPP) 
 ((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) 
 NIL 
 NIL 
-(-360 K |PolK|) 
+(-361 K |PolK|) 
 ((|constructor| (NIL "Part of the package for Algebraic Function Fields in one variable (\\spad{PAFF})"))) 
 NIL 
 NIL 
-(-361 GF |n|) 
+(-362 GF |n|) 
 ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} \\spad{n}) implements an extension of the finite field \\spad{GF} of degree \\spad{n} generated by the extension polynomial constructed by createIrreduciblePoly from \\spadtype{FiniteFieldPolynomialPackage}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-148))) (-2199 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370))))) 
-(-362 R |ls|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-149))) (-2232 (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371))))) 
+(-363 R |ls|) 
 ((|constructor| (NIL "This is just an interface between several packages and domains. The goal is to compute lexicographical Groebner bases of sets of polynomial with type \\spadtype{Polynomial R} by the FGLM algorithm if this is possible (\\spadignore{i.e.} if the input system generates a zero-dimensional ideal).")) (|groebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|))) "\\axiom{groebner(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}}. If \\axiom{\\spad{lq1}} generates a zero-dimensional ideal then the FGLM strategy is used,{} otherwise the Sugar strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|Polynomial| |#1|)) "failed") (|List| (|Polynomial| |#1|))) "\\axiom{fglmIfCan(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}} by using the FGLM strategy,{} if \\axiom{zeroDimensional?(\\spad{lq1})} holds.")) (|zeroDimensional?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "\\axiom{zeroDimensional?(\\spad{lq1})} returns \\spad{true} iff \\axiom{\\spad{lq1}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables of \\axiom{\\spad{ls}}."))) 
 NIL 
 NIL 
-(-363 S) 
+(-364 S) 
 ((|constructor| (NIL "The free group on a set \\spad{S} is the group of finite products of the form \\spad{reduce(*,{}[\\spad{si} ** \\spad{ni}])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are integers. The multiplication is not commutative.")) (|factors| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| (|Integer|)))) $) "\\spad{factors(a1\\^e1,{}...,{}an\\^en)} returns \\spad{[[a1,{} e1],{}...,{}[an,{} en]]}.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f,{} a1\\^e1 ... an\\^en)} returns \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (|mapExpon| (($ (|Mapping| (|Integer|) (|Integer|)) $) "\\spad{mapExpon(f,{} a1\\^e1 ... an\\^en)} returns \\spad{a1\\^f(e1) ... an\\^f(en)}.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(x,{} n)} returns the factor of the n^th monomial of \\spad{x}.")) (|nthExpon| (((|Integer|) $ (|Integer|)) "\\spad{nthExpon(x,{} n)} returns the exponent of the n^th monomial of \\spad{x}.")) (|size| (((|NonNegativeInteger|) $) "\\spad{size(x)} returns the number of monomials in \\spad{x}.")) (** (($ |#1| (|Integer|)) "\\spad{s ** n} returns the product of \\spad{s} by itself \\spad{n} times.")) (* (($ $ |#1|) "\\spad{x * s} returns the product of \\spad{x} by \\spad{s} on the right.") (($ |#1| $) "\\spad{s * x} returns the product of \\spad{x} by \\spad{s} on the left."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-364 S) 
+(-365 S) 
 ((|constructor| (NIL "The category of commutative fields,{} \\spadignore{i.e.} commutative rings where all non-zero elements have multiplicative inverses. The \\spadfun{factor} operation while trivial is useful to have defined. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{a*(b/a) = b}\\spad{\\br} \\tab{5}\\spad{inv(a) = 1/a}")) (|canonicalsClosed| ((|attribute|) "since \\spad{0*0=0},{} \\spad{1*1=1}")) (|canonicalUnitNormal| ((|attribute|) "either 0 or 1.")) (/ (($ $ $) "\\spad{x/y} divides the element \\spad{x} by the element \\spad{y}. Error: if \\spad{y} is 0."))) 
 NIL 
 NIL 
-(-365) 
+(-366) 
 ((|constructor| (NIL "The category of commutative fields,{} \\spadignore{i.e.} commutative rings where all non-zero elements have multiplicative inverses. The \\spadfun{factor} operation while trivial is useful to have defined. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{a*(b/a) = b}\\spad{\\br} \\tab{5}\\spad{inv(a) = 1/a}")) (|canonicalsClosed| ((|attribute|) "since \\spad{0*0=0},{} \\spad{1*1=1}")) (|canonicalUnitNormal| ((|attribute|) "either 0 or 1.")) (/ (($ $ $) "\\spad{x/y} divides the element \\spad{x} by the element \\spad{y}. Error: if \\spad{y} is 0."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-366 |Name| S) 
+(-367 |Name| S) 
 ((|constructor| (NIL "This category provides an interface to operate on files in the computer\\spad{'s} file system. The precise method of naming files is determined by the Name parameter. The type of the contents of the file is determined by \\spad{S}.")) (|flush| (((|Void|) $) "\\spad{flush(f)} makes sure that buffered data is written out")) (|write!| ((|#2| $ |#2|) "\\spad{write!(f,{}s)} puts the value \\spad{s} into the file \\spad{f}. The state of \\spad{f} is modified so subsequents call to \\spad{write!} will append one after another.")) (|read!| ((|#2| $) "\\spad{read!(f)} extracts a value from file \\spad{f}. The state of \\spad{f} is modified so a subsequent call to \\spadfun{read!} will return the next element.")) (|iomode| (((|String|) $) "\\spad{iomode(f)} returns the status of the file \\spad{f}. The input/output status of \\spad{f} may be \"input\",{} \"output\" or \"closed\" mode.")) (|name| ((|#1| $) "\\spad{name(f)} returns the external name of the file \\spad{f}.")) (|close!| (($ $) "\\spad{close!(f)} returns the file \\spad{f} closed to input and output.")) (|reopen!| (($ $ (|String|)) "\\spad{reopen!(f,{}mode)} returns a file \\spad{f} reopened for operation in the indicated mode: \"input\" or \"output\". \\spad{reopen!(f,{}\"input\")} will reopen the file \\spad{f} for input.")) (|open| (($ |#1| (|String|)) "\\spad{open(s,{}mode)} returns a file \\spad{s} open for operation in the indicated mode: \"input\" or \"output\".") (($ |#1|) "\\spad{open(s)} returns the file \\spad{s} open for input."))) 
 NIL 
 NIL 
-(-367 S) 
+(-368 S) 
 ((|constructor| (NIL "This domain provides a basic model of files to save arbitrary values. The operations provide sequential access to the contents.")) (|readIfCan!| (((|Union| |#1| "failed") $) "\\spad{readIfCan!(f)} returns a value from the file \\spad{f},{} if possible. If \\spad{f} is not open for reading,{} or if \\spad{f} is at the end of file then \\spad{\"failed\"} is the result."))) 
 NIL 
 NIL 
-(-368 S R) 
+(-369 S R) 
 ((|constructor| (NIL "A FiniteRankNonAssociativeAlgebra is a non associative algebra over a commutative ring \\spad{R} which is a free \\spad{R}-module of finite rank.")) (|unitsKnown| ((|attribute|) "unitsKnown means that \\spadfun{recip} truly yields reciprocal or \\spad{\"failed\"} if not a unit,{} similarly for \\spadfun{leftRecip} and \\spadfun{rightRecip}. The reason is that we use left,{} respectively right,{} minimal polynomials to decide this question.")) (|unit| (((|Union| $ "failed")) "\\spad{unit()} returns a unit of the algebra (necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|rightUnit| (((|Union| $ "failed")) "\\spad{rightUnit()} returns a right unit of the algebra (not necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|leftUnit| (((|Union| $ "failed")) "\\spad{leftUnit()} returns a left unit of the algebra (not necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|rightUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{rightUnits()} returns the affine space of all right units of the algebra,{} or \\spad{\"failed\"} if there is none.")) (|leftUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{leftUnits()} returns the affine space of all left units of the algebra,{} or \\spad{\"failed\"} if there is none.")) (|rightMinimalPolynomial| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{rightMinimalPolynomial(a)} returns the polynomial determined by the smallest non-trivial linear combination of right powers of \\spad{a}. Note that the polynomial never has a constant term as in general the algebra has no unit.")) (|leftMinimalPolynomial| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{leftMinimalPolynomial(a)} returns the polynomial determined by the smallest non-trivial linear combination of left powers of \\spad{a}. Note that the polynomial never has a constant term as in general the algebra has no unit.")) (|associatorDependence| (((|List| (|Vector| |#2|))) "\\spad{associatorDependence()} looks for the associator identities,{} \\spadignore{i.e.} finds a basis of the solutions of the linear combinations of the six permutations of \\spad{associator(a,{}b,{}c)} which yield 0,{} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra. The order of the permutations is \\spad{123 231 312 132 321 213}.")) (|rightRecip| (((|Union| $ "failed") $) "\\spad{rightRecip(a)} returns an element,{} which is a right inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|leftRecip| (((|Union| $ "failed") $) "\\spad{leftRecip(a)} returns an element,{} which is a left inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(a)} returns an element,{} which is both a left and a right inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|lieAlgebra?| (((|Boolean|)) "\\spad{lieAlgebra?()} tests if the algebra is anticommutative and \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra (Jacobi identity). Example: for every associative algebra \\spad{(A,{}+,{}@)} we can construct a Lie algebra \\spad{(A,{}+,{}*)},{} where \\spad{a*b := a@b-b@a}.")) (|jordanAlgebra?| (((|Boolean|)) "\\spad{jordanAlgebra?()} tests if the algebra is commutative,{} characteristic is not 2,{} and \\spad{(a*b)*a**2 - a*(b*a**2) = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra (Jordan identity). Example: for every associative algebra \\spad{(A,{}+,{}@)} we can construct a Jordan algebra \\spad{(A,{}+,{}*)},{} where \\spad{a*b := (a@b+b@a)/2}.")) (|noncommutativeJordanAlgebra?| (((|Boolean|)) "\\spad{noncommutativeJordanAlgebra?()} tests if the algebra is flexible and Jordan admissible.")) (|jordanAdmissible?| (((|Boolean|)) "\\spad{jordanAdmissible?()} tests if 2 is invertible in the coefficient domain and the multiplication defined by \\spad{(1/2)(a*b+b*a)} determines a Jordan algebra,{} \\spadignore{i.e.} satisfies the Jordan identity. The property of \\spadatt{commutative(\\spad{\"*\"})} follows from by definition.")) (|lieAdmissible?| (((|Boolean|)) "\\spad{lieAdmissible?()} tests if the algebra defined by the commutators is a Lie algebra,{} \\spadignore{i.e.} satisfies the Jacobi identity. The property of anticommutativity follows from definition.")) (|jacobiIdentity?| (((|Boolean|)) "\\spad{jacobiIdentity?()} tests if \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra. For example,{} this holds for crossed products of 3-dimensional vectors.")) (|powerAssociative?| (((|Boolean|)) "\\spad{powerAssociative?()} tests if all subalgebras generated by a single element are associative.")) (|alternative?| (((|Boolean|)) "\\spad{alternative?()} tests if \\spad{2*associator(a,{}a,{}b) = 0 = 2*associator(a,{}b,{}b)} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|flexible?| (((|Boolean|)) "\\spad{flexible?()} tests if \\spad{2*associator(a,{}b,{}a) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|rightAlternative?| (((|Boolean|)) "\\spad{rightAlternative?()} tests if \\spad{2*associator(a,{}b,{}b) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|leftAlternative?| (((|Boolean|)) "\\spad{leftAlternative?()} tests if \\spad{2*associator(a,{}a,{}b) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|antiAssociative?| (((|Boolean|)) "\\spad{antiAssociative?()} tests if multiplication in algebra is anti-associative,{} \\spadignore{i.e.} \\spad{(a*b)*c + a*(b*c) = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra.")) (|associative?| (((|Boolean|)) "\\spad{associative?()} tests if multiplication in algebra is associative.")) (|antiCommutative?| (((|Boolean|)) "\\spad{antiCommutative?()} tests if \\spad{a*a = 0} for all \\spad{a} in the algebra. Note that this implies \\spad{a*b + b*a = 0} for all \\spad{a} and \\spad{b}.")) (|commutative?| (((|Boolean|)) "\\spad{commutative?()} tests if multiplication in the algebra is commutative.")) (|rightCharacteristicPolynomial| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{rightCharacteristicPolynomial(a)} returns the characteristic polynomial of the right regular representation of \\spad{a} with respect to any basis.")) (|leftCharacteristicPolynomial| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{leftCharacteristicPolynomial(a)} returns the characteristic polynomial of the left regular representation of \\spad{a} with respect to any basis.")) (|rightTraceMatrix| (((|Matrix| |#2|) (|Vector| $)) "\\spad{rightTraceMatrix([v1,{}...,{}vn])} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj}.")) (|leftTraceMatrix| (((|Matrix| |#2|) (|Vector| $)) "\\spad{leftTraceMatrix([v1,{}...,{}vn])} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj}.")) (|rightDiscriminant| ((|#2| (|Vector| $)) "\\spad{rightDiscriminant([v1,{}...,{}vn])} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj}. Note that this is the same as \\spad{determinant(rightTraceMatrix([v1,{}...,{}vn]))}.")) (|leftDiscriminant| ((|#2| (|Vector| $)) "\\spad{leftDiscriminant([v1,{}...,{}vn])} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj}. Note that this is the same as \\spad{determinant(leftTraceMatrix([v1,{}...,{}vn]))}.")) (|represents| (($ (|Vector| |#2|) (|Vector| $)) "\\spad{represents([a1,{}...,{}am],{}[v1,{}...,{}vm])} returns the linear combination \\spad{a1*vm + ... + an*vm}.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $) (|Vector| $)) "\\spad{coordinates([a1,{}...,{}am],{}[v1,{}...,{}vn])} returns a matrix whose \\spad{i}-th row is formed by the coordinates of \\spad{\\spad{ai}} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.") (((|Vector| |#2|) $ (|Vector| $)) "\\spad{coordinates(a,{}[v1,{}...,{}vn])} returns the coordinates of \\spad{a} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|rightNorm| ((|#2| $) "\\spad{rightNorm(a)} returns the determinant of the right regular representation of \\spad{a}.")) (|leftNorm| ((|#2| $) "\\spad{leftNorm(a)} returns the determinant of the left regular representation of \\spad{a}.")) (|rightTrace| ((|#2| $) "\\spad{rightTrace(a)} returns the trace of the right regular representation of \\spad{a}.")) (|leftTrace| ((|#2| $) "\\spad{leftTrace(a)} returns the trace of the left regular representation of \\spad{a}.")) (|rightRegularRepresentation| (((|Matrix| |#2|) $ (|Vector| $)) "\\spad{rightRegularRepresentation(a,{}[v1,{}...,{}vn])} returns the matrix of the linear map defined by right multiplication by \\spad{a} with respect to the \\spad{R}-module basis \\spad{[v1,{}...,{}vn]}.")) (|leftRegularRepresentation| (((|Matrix| |#2|) $ (|Vector| $)) "\\spad{leftRegularRepresentation(a,{}[v1,{}...,{}vn])} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the \\spad{R}-module basis \\spad{[v1,{}...,{}vn]}.")) (|structuralConstants| (((|Vector| (|Matrix| |#2|)) (|Vector| $)) "\\spad{structuralConstants([v1,{}v2,{}...,{}vm])} calculates the structural constants \\spad{[(gammaijk) for k in 1..m]} defined by \\spad{\\spad{vi} * vj = gammaij1 * v1 + ... + gammaijm * vm},{} where \\spad{[v1,{}...,{}vm]} is an \\spad{R}-module basis of a subalgebra.")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#2|)) (|Vector| $)) "\\spad{conditionsForIdempotents([v1,{}...,{}vn])} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|rank| (((|PositiveInteger|)) "\\spad{rank()} returns the rank of the algebra as \\spad{R}-module.")) (|someBasis| (((|Vector| $)) "\\spad{someBasis()} returns some \\spad{R}-module basis."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-558)))) 
-(-369 R) 
+((|HasCategory| |#2| (QUOTE (-559)))) 
+(-370 R) 
 ((|constructor| (NIL "A FiniteRankNonAssociativeAlgebra is a non associative algebra over a commutative ring \\spad{R} which is a free \\spad{R}-module of finite rank.")) (|unitsKnown| ((|attribute|) "unitsKnown means that \\spadfun{recip} truly yields reciprocal or \\spad{\"failed\"} if not a unit,{} similarly for \\spadfun{leftRecip} and \\spadfun{rightRecip}. The reason is that we use left,{} respectively right,{} minimal polynomials to decide this question.")) (|unit| (((|Union| $ "failed")) "\\spad{unit()} returns a unit of the algebra (necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|rightUnit| (((|Union| $ "failed")) "\\spad{rightUnit()} returns a right unit of the algebra (not necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|leftUnit| (((|Union| $ "failed")) "\\spad{leftUnit()} returns a left unit of the algebra (not necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|rightUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{rightUnits()} returns the affine space of all right units of the algebra,{} or \\spad{\"failed\"} if there is none.")) (|leftUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{leftUnits()} returns the affine space of all left units of the algebra,{} or \\spad{\"failed\"} if there is none.")) (|rightMinimalPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{rightMinimalPolynomial(a)} returns the polynomial determined by the smallest non-trivial linear combination of right powers of \\spad{a}. Note that the polynomial never has a constant term as in general the algebra has no unit.")) (|leftMinimalPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{leftMinimalPolynomial(a)} returns the polynomial determined by the smallest non-trivial linear combination of left powers of \\spad{a}. Note that the polynomial never has a constant term as in general the algebra has no unit.")) (|associatorDependence| (((|List| (|Vector| |#1|))) "\\spad{associatorDependence()} looks for the associator identities,{} \\spadignore{i.e.} finds a basis of the solutions of the linear combinations of the six permutations of \\spad{associator(a,{}b,{}c)} which yield 0,{} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra. The order of the permutations is \\spad{123 231 312 132 321 213}.")) (|rightRecip| (((|Union| $ "failed") $) "\\spad{rightRecip(a)} returns an element,{} which is a right inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|leftRecip| (((|Union| $ "failed") $) "\\spad{leftRecip(a)} returns an element,{} which is a left inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(a)} returns an element,{} which is both a left and a right inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|lieAlgebra?| (((|Boolean|)) "\\spad{lieAlgebra?()} tests if the algebra is anticommutative and \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra (Jacobi identity). Example: for every associative algebra \\spad{(A,{}+,{}@)} we can construct a Lie algebra \\spad{(A,{}+,{}*)},{} where \\spad{a*b := a@b-b@a}.")) (|jordanAlgebra?| (((|Boolean|)) "\\spad{jordanAlgebra?()} tests if the algebra is commutative,{} characteristic is not 2,{} and \\spad{(a*b)*a**2 - a*(b*a**2) = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra (Jordan identity). Example: for every associative algebra \\spad{(A,{}+,{}@)} we can construct a Jordan algebra \\spad{(A,{}+,{}*)},{} where \\spad{a*b := (a@b+b@a)/2}.")) (|noncommutativeJordanAlgebra?| (((|Boolean|)) "\\spad{noncommutativeJordanAlgebra?()} tests if the algebra is flexible and Jordan admissible.")) (|jordanAdmissible?| (((|Boolean|)) "\\spad{jordanAdmissible?()} tests if 2 is invertible in the coefficient domain and the multiplication defined by \\spad{(1/2)(a*b+b*a)} determines a Jordan algebra,{} \\spadignore{i.e.} satisfies the Jordan identity. The property of \\spadatt{commutative(\\spad{\"*\"})} follows from by definition.")) (|lieAdmissible?| (((|Boolean|)) "\\spad{lieAdmissible?()} tests if the algebra defined by the commutators is a Lie algebra,{} \\spadignore{i.e.} satisfies the Jacobi identity. The property of anticommutativity follows from definition.")) (|jacobiIdentity?| (((|Boolean|)) "\\spad{jacobiIdentity?()} tests if \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra. For example,{} this holds for crossed products of 3-dimensional vectors.")) (|powerAssociative?| (((|Boolean|)) "\\spad{powerAssociative?()} tests if all subalgebras generated by a single element are associative.")) (|alternative?| (((|Boolean|)) "\\spad{alternative?()} tests if \\spad{2*associator(a,{}a,{}b) = 0 = 2*associator(a,{}b,{}b)} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|flexible?| (((|Boolean|)) "\\spad{flexible?()} tests if \\spad{2*associator(a,{}b,{}a) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|rightAlternative?| (((|Boolean|)) "\\spad{rightAlternative?()} tests if \\spad{2*associator(a,{}b,{}b) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|leftAlternative?| (((|Boolean|)) "\\spad{leftAlternative?()} tests if \\spad{2*associator(a,{}a,{}b) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note that we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|antiAssociative?| (((|Boolean|)) "\\spad{antiAssociative?()} tests if multiplication in algebra is anti-associative,{} \\spadignore{i.e.} \\spad{(a*b)*c + a*(b*c) = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra.")) (|associative?| (((|Boolean|)) "\\spad{associative?()} tests if multiplication in algebra is associative.")) (|antiCommutative?| (((|Boolean|)) "\\spad{antiCommutative?()} tests if \\spad{a*a = 0} for all \\spad{a} in the algebra. Note that this implies \\spad{a*b + b*a = 0} for all \\spad{a} and \\spad{b}.")) (|commutative?| (((|Boolean|)) "\\spad{commutative?()} tests if multiplication in the algebra is commutative.")) (|rightCharacteristicPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{rightCharacteristicPolynomial(a)} returns the characteristic polynomial of the right regular representation of \\spad{a} with respect to any basis.")) (|leftCharacteristicPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{leftCharacteristicPolynomial(a)} returns the characteristic polynomial of the left regular representation of \\spad{a} with respect to any basis.")) (|rightTraceMatrix| (((|Matrix| |#1|) (|Vector| $)) "\\spad{rightTraceMatrix([v1,{}...,{}vn])} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj}.")) (|leftTraceMatrix| (((|Matrix| |#1|) (|Vector| $)) "\\spad{leftTraceMatrix([v1,{}...,{}vn])} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj}.")) (|rightDiscriminant| ((|#1| (|Vector| $)) "\\spad{rightDiscriminant([v1,{}...,{}vn])} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj}. Note that this is the same as \\spad{determinant(rightTraceMatrix([v1,{}...,{}vn]))}.")) (|leftDiscriminant| ((|#1| (|Vector| $)) "\\spad{leftDiscriminant([v1,{}...,{}vn])} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj}. Note that this is the same as \\spad{determinant(leftTraceMatrix([v1,{}...,{}vn]))}.")) (|represents| (($ (|Vector| |#1|) (|Vector| $)) "\\spad{represents([a1,{}...,{}am],{}[v1,{}...,{}vm])} returns the linear combination \\spad{a1*vm + ... + an*vm}.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $) (|Vector| $)) "\\spad{coordinates([a1,{}...,{}am],{}[v1,{}...,{}vn])} returns a matrix whose \\spad{i}-th row is formed by the coordinates of \\spad{\\spad{ai}} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.") (((|Vector| |#1|) $ (|Vector| $)) "\\spad{coordinates(a,{}[v1,{}...,{}vn])} returns the coordinates of \\spad{a} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|rightNorm| ((|#1| $) "\\spad{rightNorm(a)} returns the determinant of the right regular representation of \\spad{a}.")) (|leftNorm| ((|#1| $) "\\spad{leftNorm(a)} returns the determinant of the left regular representation of \\spad{a}.")) (|rightTrace| ((|#1| $) "\\spad{rightTrace(a)} returns the trace of the right regular representation of \\spad{a}.")) (|leftTrace| ((|#1| $) "\\spad{leftTrace(a)} returns the trace of the left regular representation of \\spad{a}.")) (|rightRegularRepresentation| (((|Matrix| |#1|) $ (|Vector| $)) "\\spad{rightRegularRepresentation(a,{}[v1,{}...,{}vn])} returns the matrix of the linear map defined by right multiplication by \\spad{a} with respect to the \\spad{R}-module basis \\spad{[v1,{}...,{}vn]}.")) (|leftRegularRepresentation| (((|Matrix| |#1|) $ (|Vector| $)) "\\spad{leftRegularRepresentation(a,{}[v1,{}...,{}vn])} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the \\spad{R}-module basis \\spad{[v1,{}...,{}vn]}.")) (|structuralConstants| (((|Vector| (|Matrix| |#1|)) (|Vector| $)) "\\spad{structuralConstants([v1,{}v2,{}...,{}vm])} calculates the structural constants \\spad{[(gammaijk) for k in 1..m]} defined by \\spad{\\spad{vi} * vj = gammaij1 * v1 + ... + gammaijm * vm},{} where \\spad{[v1,{}...,{}vm]} is an \\spad{R}-module basis of a subalgebra.")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#1|)) (|Vector| $)) "\\spad{conditionsForIdempotents([v1,{}...,{}vn])} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|rank| (((|PositiveInteger|)) "\\spad{rank()} returns the rank of the algebra as \\spad{R}-module.")) (|someBasis| (((|Vector| $)) "\\spad{someBasis()} returns some \\spad{R}-module basis."))) 
-((-4518 |has| |#1| (-558)) (-4516 . T) (-4515 . T)) 
+((-4532 |has| |#1| (-559)) (-4530 . T) (-4529 . T)) 
 NIL 
-(-370) 
+(-371) 
 ((|constructor| (NIL "The category of domains composed of a finite set of elements. We include the functions \\spadfun{lookup} and \\spadfun{index} to give a bijection between the finite set and an initial segment of positive integers. \\blankline")) (|random| (($) "\\spad{random()} returns a random element from the set.")) (|lookup| (((|PositiveInteger|) $) "\\spad{lookup(x)} returns a positive integer such that \\spad{x = index lookup x}.")) (|index| (($ (|PositiveInteger|)) "\\spad{index(i)} takes a positive integer \\spad{i} less than or equal to \\spad{size()} and returns the \\spad{i}\\spad{-}th element of the set. This operation establishs a bijection between the elements of the finite set and \\spad{1..size()}.")) (|size| (((|NonNegativeInteger|)) "\\spad{size()} returns the number of elements in the set."))) 
 NIL 
 NIL 
-(-371 S R UP) 
+(-372 S R UP) 
 ((|constructor| (NIL "A FiniteRankAlgebra is an algebra over a commutative ring \\spad{R} which is a free \\spad{R}-module of finite rank.")) (|minimalPolynomial| ((|#3| $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of \\spad{a}.")) (|characteristicPolynomial| ((|#3| $) "\\spad{characteristicPolynomial(a)} returns the characteristic polynomial of the regular representation of \\spad{a} with respect to any basis.")) (|traceMatrix| (((|Matrix| |#2|) (|Vector| $)) "\\spad{traceMatrix([v1,{}..,{}vn])} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr}(\\spad{vi} * \\spad{vj}) )")) (|discriminant| ((|#2| (|Vector| $)) "\\spad{discriminant([v1,{}..,{}vn])} returns \\spad{determinant(traceMatrix([v1,{}..,{}vn]))}.")) (|represents| (($ (|Vector| |#2|) (|Vector| $)) "\\spad{represents([a1,{}..,{}an],{}[v1,{}..,{}vn])} returns \\spad{a1*v1+...+an*vn}.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm],{} basis)} returns the coordinates of the \\spad{vi}\\spad{'s} with to the basis \\spad{basis}. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $ (|Vector| $)) "\\spad{coordinates(a,{}basis)} returns the coordinates of \\spad{a} with respect to the \\spad{basis} \\spad{basis}.")) (|norm| ((|#2| $) "\\spad{norm(a)} returns the determinant of the regular representation of \\spad{a} with respect to any basis.")) (|trace| ((|#2| $) "\\spad{trace(a)} returns the trace of the regular representation of \\spad{a} with respect to any basis.")) (|regularRepresentation| (((|Matrix| |#2|) $ (|Vector| $)) "\\spad{regularRepresentation(a,{}basis)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the \\spad{basis} \\spad{basis}.")) (|rank| (((|PositiveInteger|)) "\\spad{rank()} returns the rank of the algebra."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-365)))) 
-(-372 R UP) 
+((|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-366)))) 
+(-373 R UP) 
 ((|constructor| (NIL "A FiniteRankAlgebra is an algebra over a commutative ring \\spad{R} which is a free \\spad{R}-module of finite rank.")) (|minimalPolynomial| ((|#2| $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of \\spad{a}.")) (|characteristicPolynomial| ((|#2| $) "\\spad{characteristicPolynomial(a)} returns the characteristic polynomial of the regular representation of \\spad{a} with respect to any basis.")) (|traceMatrix| (((|Matrix| |#1|) (|Vector| $)) "\\spad{traceMatrix([v1,{}..,{}vn])} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr}(\\spad{vi} * \\spad{vj}) )")) (|discriminant| ((|#1| (|Vector| $)) "\\spad{discriminant([v1,{}..,{}vn])} returns \\spad{determinant(traceMatrix([v1,{}..,{}vn]))}.")) (|represents| (($ (|Vector| |#1|) (|Vector| $)) "\\spad{represents([a1,{}..,{}an],{}[v1,{}..,{}vn])} returns \\spad{a1*v1+...+an*vn}.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm],{} basis)} returns the coordinates of the \\spad{vi}\\spad{'s} with to the basis \\spad{basis}. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $ (|Vector| $)) "\\spad{coordinates(a,{}basis)} returns the coordinates of \\spad{a} with respect to the \\spad{basis} \\spad{basis}.")) (|norm| ((|#1| $) "\\spad{norm(a)} returns the determinant of the regular representation of \\spad{a} with respect to any basis.")) (|trace| ((|#1| $) "\\spad{trace(a)} returns the trace of the regular representation of \\spad{a} with respect to any basis.")) (|regularRepresentation| (((|Matrix| |#1|) $ (|Vector| $)) "\\spad{regularRepresentation(a,{}basis)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the \\spad{basis} \\spad{basis}.")) (|rank| (((|PositiveInteger|)) "\\spad{rank()} returns the rank of the algebra."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-373 S A R B) 
+(-374 S A R B) 
 ((|constructor| (NIL "\\spad{FiniteLinearAggregateFunctions2} provides functions involving two FiniteLinearAggregates where the underlying domains might be different. An example of this might be creating a list of rational numbers by mapping a function across a list of integers where the function divides each integer by 1000.")) (|scan| ((|#4| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{scan(f,{}a,{}r)} successively applies \\spad{reduce(f,{}x,{}r)} to more and more leading sub-aggregates \\spad{x} of aggregrate \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,{}a2,{}...]},{} then \\spad{scan(f,{}a,{}r)} returns \\spad{[reduce(f,{}[a1],{}r),{}reduce(f,{}[a1,{}a2],{}r),{}...]}.")) (|reduce| ((|#3| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{reduce(f,{}a,{}r)} applies function \\spad{f} to each successive element of the aggregate \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,{}[1,{}2,{}3],{}0)} does \\spad{3+(2+(1+0))}. Note that third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,{}a)} applies function \\spad{f} to each member of aggregate \\spad{a} resulting in a new aggregate over a possibly different underlying domain."))) 
 NIL 
 NIL 
-(-374 A S) 
+(-375 A S) 
 ((|constructor| (NIL "A finite linear aggregate is a linear aggregate of finite length. The finite property of the aggregate adds several exports to the list of exports from \\spadtype{LinearAggregate} such as \\spadfun{reverse},{} \\spadfun{sort},{} and so on.")) (|sort!| (($ $) "\\spad{sort!(u)} returns \\spad{u} with its elements in ascending order.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $) "\\spad{sort!(p,{}u)} returns \\spad{u} with its elements ordered by \\spad{p}.")) (|reverse!| (($ $) "\\spad{reverse!(u)} returns \\spad{u} with its elements in reverse order.")) (|copyInto!| (($ $ $ (|Integer|)) "\\spad{copyInto!(u,{}v,{}i)} returns aggregate \\spad{u} containing a copy of \\spad{v} inserted at element \\spad{i}.")) (|position| (((|Integer|) |#2| $ (|Integer|)) "\\spad{position(x,{}a,{}n)} returns the index \\spad{i} of the first occurrence of \\spad{x} in \\axiom{a} where \\axiom{\\spad{i} \\spad{>=} \\spad{n}},{} and \\axiom{minIndex(a) - 1} if no such \\spad{x} is found.") (((|Integer|) |#2| $) "\\spad{position(x,{}a)} returns the index \\spad{i} of the first occurrence of \\spad{x} in a,{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.") (((|Integer|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{position(p,{}a)} returns the index \\spad{i} of the first \\spad{x} in \\axiom{a} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.")) (|sorted?| (((|Boolean|) $) "\\spad{sorted?(u)} tests if the elements of \\spad{u} are in ascending order.") (((|Boolean|) (|Mapping| (|Boolean|) |#2| |#2|) $) "\\spad{sorted?(p,{}a)} tests if \\axiom{a} is sorted according to predicate \\spad{p}.")) (|sort| (($ $) "\\spad{sort(u)} returns an \\spad{u} with elements in ascending order. Note that \\axiom{sort(\\spad{u}) = sort(\\spad{<=},{}\\spad{u})}.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $) "\\spad{sort(p,{}a)} returns a copy of \\axiom{a} sorted using total ordering predicate \\spad{p}.")) (|reverse| (($ $) "\\spad{reverse(a)} returns a copy of \\axiom{a} with elements in reverse order.")) (|merge| (($ $ $) "\\spad{merge(u,{}v)} merges \\spad{u} and \\spad{v} in ascending order. Note that \\axiom{merge(\\spad{u},{}\\spad{v}) = merge(\\spad{<=},{}\\spad{u},{}\\spad{v})}.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $ $) "\\spad{merge(p,{}a,{}b)} returns an aggregate \\spad{c} which merges \\axiom{a} and \\spad{b}. The result is produced by examining each element \\spad{x} of \\axiom{a} and \\spad{y} of \\spad{b} successively. If \\axiom{\\spad{p}(\\spad{x},{}\\spad{y})} is \\spad{true},{} then \\spad{x} is inserted into the result; otherwise \\spad{y} is inserted. If \\spad{x} is chosen,{} the next element of \\axiom{a} is examined,{} and so on. When all the elements of one aggregate are examined,{} the remaining elements of the other are appended. For example,{} \\axiom{merge(<,{}[1,{}3],{}[2,{}7,{}5])} returns \\axiom{[1,{}2,{}3,{}7,{}5]}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4522)) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090)))) 
-(-375 S) 
+((|HasAttribute| |#1| (QUOTE -4536)) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091)))) 
+(-376 S) 
 ((|constructor| (NIL "A finite linear aggregate is a linear aggregate of finite length. The finite property of the aggregate adds several exports to the list of exports from \\spadtype{LinearAggregate} such as \\spadfun{reverse},{} \\spadfun{sort},{} and so on.")) (|sort!| (($ $) "\\spad{sort!(u)} returns \\spad{u} with its elements in ascending order.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sort!(p,{}u)} returns \\spad{u} with its elements ordered by \\spad{p}.")) (|reverse!| (($ $) "\\spad{reverse!(u)} returns \\spad{u} with its elements in reverse order.")) (|copyInto!| (($ $ $ (|Integer|)) "\\spad{copyInto!(u,{}v,{}i)} returns aggregate \\spad{u} containing a copy of \\spad{v} inserted at element \\spad{i}.")) (|position| (((|Integer|) |#1| $ (|Integer|)) "\\spad{position(x,{}a,{}n)} returns the index \\spad{i} of the first occurrence of \\spad{x} in \\axiom{a} where \\axiom{\\spad{i} \\spad{>=} \\spad{n}},{} and \\axiom{minIndex(a) - 1} if no such \\spad{x} is found.") (((|Integer|) |#1| $) "\\spad{position(x,{}a)} returns the index \\spad{i} of the first occurrence of \\spad{x} in a,{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.") (((|Integer|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{position(p,{}a)} returns the index \\spad{i} of the first \\spad{x} in \\axiom{a} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.")) (|sorted?| (((|Boolean|) $) "\\spad{sorted?(u)} tests if the elements of \\spad{u} are in ascending order.") (((|Boolean|) (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sorted?(p,{}a)} tests if \\axiom{a} is sorted according to predicate \\spad{p}.")) (|sort| (($ $) "\\spad{sort(u)} returns an \\spad{u} with elements in ascending order. Note that \\axiom{sort(\\spad{u}) = sort(\\spad{<=},{}\\spad{u})}.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sort(p,{}a)} returns a copy of \\axiom{a} sorted using total ordering predicate \\spad{p}.")) (|reverse| (($ $) "\\spad{reverse(a)} returns a copy of \\axiom{a} with elements in reverse order.")) (|merge| (($ $ $) "\\spad{merge(u,{}v)} merges \\spad{u} and \\spad{v} in ascending order. Note that \\axiom{merge(\\spad{u},{}\\spad{v}) = merge(\\spad{<=},{}\\spad{u},{}\\spad{v})}.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $ $) "\\spad{merge(p,{}a,{}b)} returns an aggregate \\spad{c} which merges \\axiom{a} and \\spad{b}. The result is produced by examining each element \\spad{x} of \\axiom{a} and \\spad{y} of \\spad{b} successively. If \\axiom{\\spad{p}(\\spad{x},{}\\spad{y})} is \\spad{true},{} then \\spad{x} is inserted into the result; otherwise \\spad{y} is inserted. If \\spad{x} is chosen,{} the next element of \\axiom{a} is examined,{} and so on. When all the elements of one aggregate are examined,{} the remaining elements of the other are appended. For example,{} \\axiom{merge(<,{}[1,{}3],{}[2,{}7,{}5])} returns \\axiom{[1,{}2,{}3,{}7,{}5]}."))) 
-((-4521 . T) (-3973 . T)) 
+((-4535 . T) (-2982 . T)) 
 NIL 
-(-376 |VarSet| R) 
+(-377 |VarSet| R) 
 ((|constructor| (NIL "The category of free Lie algebras. It is used by domains of non-commutative algebra: \\spadtype{LiePolynomial} and \\spadtype{XPBWPolynomial}.")) (|eval| (($ $ (|List| |#1|) (|List| $)) "\\axiom{eval(\\spad{p},{} [\\spad{x1},{}...,{}\\spad{xn}],{} [\\spad{v1},{}...,{}\\spad{vn}])} replaces \\axiom{\\spad{xi}} by \\axiom{\\spad{vi}} in \\axiom{\\spad{p}}.") (($ $ |#1| $) "\\axiom{eval(\\spad{p},{} \\spad{x},{} \\spad{v})} replaces \\axiom{\\spad{x}} by \\axiom{\\spad{v}} in \\axiom{\\spad{p}}.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{x})} returns the list of distinct entries of \\axiom{\\spad{x}}.")) (|trunc| (($ $ (|NonNegativeInteger|)) "\\axiom{trunc(\\spad{p},{}\\spad{n})} returns the polynomial \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}.")) (|mirror| (($ $) "\\axiom{mirror(\\spad{x})} returns \\axiom{Sum(r_i mirror(w_i))} if \\axiom{\\spad{x}} is \\axiom{Sum(r_i w_i)}.")) (|LiePoly| (($ (|LyndonWord| |#1|)) "\\axiom{LiePoly(\\spad{l})} returns the bracketed form of \\axiom{\\spad{l}} as a Lie polynomial.")) (|rquo| (((|XRecursivePolynomial| |#1| |#2|) (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{rquo(\\spad{x},{}\\spad{y})} returns the right simplification of \\axiom{\\spad{x}} by \\axiom{\\spad{y}}.")) (|lquo| (((|XRecursivePolynomial| |#1| |#2|) (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{lquo(\\spad{x},{}\\spad{y})} returns the left simplification of \\axiom{\\spad{x}} by \\axiom{\\spad{y}}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{x})} returns the greatest length of a word in the support of \\axiom{\\spad{x}}.")) (|coerce| (((|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as a recursive polynomial.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as distributed polynomial.") (($ |#1|) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as a Lie polynomial.")) (|coef| ((|#2| (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coef(\\spad{x},{}\\spad{y})} returns the scalar product of \\axiom{\\spad{x}} by \\axiom{\\spad{y}},{} the set of words being regarded as an orthogonal basis."))) 
-((|JacobiIdentity| . T) (|NullSquare| . T) (-4516 . T) (-4515 . T)) 
+((|JacobiIdentity| . T) (|NullSquare| . T) (-4530 . T) (-4529 . T)) 
 NIL 
-(-377 S V) 
+(-378 S V) 
 ((|constructor| (NIL "This package exports 3 sorting algorithms which work over FiniteLinearAggregates. Sort package (in-place) for shallowlyMutable Finite Linear Aggregates")) (|shellSort| ((|#2| (|Mapping| (|Boolean|) |#1| |#1|) |#2|) "\\spad{shellSort(f,{} agg)} sorts the aggregate agg with the ordering function \\spad{f} using the shellSort algorithm.")) (|heapSort| ((|#2| (|Mapping| (|Boolean|) |#1| |#1|) |#2|) "\\spad{heapSort(f,{} agg)} sorts the aggregate agg with the ordering function \\spad{f} using the heapsort algorithm.")) (|quickSort| ((|#2| (|Mapping| (|Boolean|) |#1| |#1|) |#2|) "\\spad{quickSort(f,{} agg)} sorts the aggregate agg with the ordering function \\spad{f} using the quicksort algorithm."))) 
 NIL 
 NIL 
-(-378 S R) 
+(-379 S R) 
 ((|constructor| (NIL "\\spad{S} is \\spadtype{FullyLinearlyExplicitRingOver R} means that \\spad{S} is a \\spadtype{LinearlyExplicitRingOver R} and,{} in addition,{} if \\spad{R} is a \\spadtype{LinearlyExplicitRingOver Integer},{} then so is \\spad{S}"))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568))))) 
-(-379 R) 
+((|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569))))) 
+(-380 R) 
 ((|constructor| (NIL "\\spad{S} is \\spadtype{FullyLinearlyExplicitRingOver R} means that \\spad{S} is a \\spadtype{LinearlyExplicitRingOver R} and,{} in addition,{} if \\spad{R} is a \\spadtype{LinearlyExplicitRingOver Integer},{} then so is \\spad{S}"))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-380 |Par|) 
+(-381 |Par|) 
 ((|constructor| (NIL "This is a package for the approximation of complex solutions for systems of equations of rational functions with complex rational coefficients. The results are expressed as either complex rational numbers or complex floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|complexRoots| (((|List| (|List| (|Complex| |#1|))) (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) (|List| (|Symbol|)) |#1|) "\\spad{complexRoots(lrf,{} lv,{} eps)} finds all the complex solutions of a list of rational functions with rational number coefficients with respect the the variables appearing in \\spad{lv}. Each solution is computed to precision eps and returned as list corresponding to the order of variables in \\spad{lv}.") (((|List| (|Complex| |#1|)) (|Fraction| (|Polynomial| (|Complex| (|Integer|)))) |#1|) "\\spad{complexRoots(rf,{} eps)} finds all the complex solutions of a univariate rational function with rational number coefficients. The solutions are computed to precision eps.")) (|complexSolve| (((|List| (|Equation| (|Polynomial| (|Complex| |#1|)))) (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) |#1|) "\\spad{complexSolve(eq,{}eps)} finds all the complex solutions of the equation \\spad{eq} of rational functions with rational rational coefficients with respect to all the variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| (|Complex| |#1|)))) (|Fraction| (|Polynomial| (|Complex| (|Integer|)))) |#1|) "\\spad{complexSolve(p,{}eps)} find all the complex solutions of the rational function \\spad{p} with complex rational coefficients with respect to all the variables appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| (|Complex| |#1|))))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))) |#1|) "\\spad{complexSolve(leq,{}eps)} finds all the complex solutions to precision \\spad{eps} of the system \\spad{leq} of equations of rational functions over complex rationals with respect to all the variables appearing in \\spad{lp}.") (((|List| (|List| (|Equation| (|Polynomial| (|Complex| |#1|))))) (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) |#1|) "\\spad{complexSolve(lp,{}eps)} finds all the complex solutions to precision \\spad{eps} of the system \\spad{lp} of rational functions over the complex rationals with respect to all the variables appearing in \\spad{lp}."))) 
 NIL 
 NIL 
-(-381) 
+(-382) 
 ((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,{}exponent,{}base)} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * base ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-bits)}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The base of the representation is binary,{} hence a \\spad{Record(m:mantissa,{}e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary base,{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the base to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal base when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision\\spad{\\br} \\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{\\spad{pi}},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )} \\spad{\\br} \\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}: \\spad{O(sqrt(n) n**2)}\\spad{\\br} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|convert| (($ (|DoubleFloat|)) "\\spad{convert(x)} converts a \\spadtype{DoubleFloat} \\spad{x} to a \\spadtype{Float}.")) (|atan| (($ $ $) "\\spad{atan(x,{}y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n,{} b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,{}n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,{}y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\^= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) 
-((-4504 . T) (-4512 . T) (-3999 . T) (-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4518 . T) (-4526 . T) (-2994 . T) (-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-382 |Par|) 
+(-383 |Par|) 
 ((|constructor| (NIL "This is a package for the approximation of real solutions for systems of polynomial equations over the rational numbers. The results are expressed as either rational numbers or floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|realRoots| (((|List| |#1|) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{realRoots(rf,{} eps)} finds the real zeros of a univariate rational function with precision given by eps.") (((|List| (|List| |#1|)) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|Symbol|)) |#1|) "\\spad{realRoots(lp,{}lv,{}eps)} computes the list of the real solutions of the list \\spad{lp} of rational functions with rational coefficients with respect to the variables in \\spad{lv},{} with precision \\spad{eps}. Each solution is expressed as a list of numbers in order corresponding to the variables in \\spad{lv}.")) (|solve| (((|List| (|Equation| (|Polynomial| |#1|))) (|Equation| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(eq,{}eps)} finds all of the real solutions of the univariate equation \\spad{eq} of rational functions with respect to the unique variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{solve(p,{}eps)} finds all of the real solutions of the univariate rational function \\spad{p} with rational coefficients with respect to the unique variable appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) |#1|) "\\spad{solve(leq,{}eps)} finds all of the real solutions of the system \\spad{leq} of equationas of rational functions with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(lp,{}eps)} finds all of the real solutions of the system \\spad{lp} of rational functions over the rational numbers with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}."))) 
 NIL 
 NIL 
-(-383 R S) 
+(-384 R S) 
 ((|constructor| (NIL "This domain implements linear combinations of elements from the domain \\spad{S} with coefficients in the domain \\spad{R} where \\spad{S} is an ordered set and \\spad{R} is a ring (which may be non-commutative). This domain is used by domains of non-commutative algebra such as: XDistributedPolynomial,{} XRecursivePolynomial.")) (* (($ |#2| |#1|) "\\spad{s*r} returns the product \\spad{r*s} used by \\spadtype{XRecursivePolynomial}"))) 
-((-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (QUOTE (-172)))) 
-(-384 R |Basis|) 
+((-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (QUOTE (-173)))) 
+(-385 R |Basis|) 
 ((|constructor| (NIL "A domain of this category implements formal linear combinations of elements from a domain \\spad{Basis} with coefficients in a domain \\spad{R}. The domain \\spad{Basis} needs only to belong to the category \\spadtype{SetCategory} and \\spad{R} to the category \\spadtype{Ring}. Thus the coefficient ring may be non-commutative. See the \\spadtype{XDistributedPolynomial} constructor for examples of domains built with the \\spadtype{FreeModuleCat} category constructor.")) (|reductum| (($ $) "\\spad{reductum(x)} returns \\spad{x} minus its leading term.")) (|leadingTerm| (((|Record| (|:| |k| |#2|) (|:| |c| |#1|)) $) "\\spad{leadingTerm(x)} returns the first term which appears in \\spad{listOfTerms(x)}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(x)} returns the first coefficient which appears in \\spad{listOfTerms(x)}.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(x)} returns the first element from \\spad{Basis} which appears in \\spad{listOfTerms(x)}.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(x)} returns the number of monomials of \\spad{x}.")) (|monomials| (((|List| $) $) "\\spad{monomials(x)} returns the list of \\spad{r_i*b_i} whose sum is \\spad{x}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(x)} returns the list of coefficients of \\spad{x}")) (|listOfTerms| (((|List| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{listOfTerms(x)} returns a list \\spad{lt} of terms with type \\spad{Record(k: Basis,{} c: R)} such that \\spad{x} equals \\spad{reduce(+,{} map(x +-> monom(x.k,{} x.c),{} lt))}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} contains a single monomial.")) (|monom| (($ |#2| |#1|) "\\spad{monom(b,{}r)} returns the element with the single monomial \\indented{1}{\\spad{b} and coefficient \\spad{r}.}")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,{}u)} maps function \\spad{fn} onto the coefficients \\indented{1}{of the non-zero monomials of \\spad{u}.}")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(x,{}b)} returns the coefficient of \\spad{b} in \\spad{x}.")) (* (($ |#1| |#2|) "\\spad{r*b} returns the product of \\spad{r} by \\spad{b}."))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-385) 
+(-386) 
 ((|constructor| (NIL "\\axiomType{FortranMatrixCategory} provides support for producing Functions and Subroutines when the input to these is an AXIOM object of type \\axiomType{Matrix} or in domains involving \\axiomType{FortranCode}.")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|Matrix| (|MachineFloat|))) "\\spad{coerce(v)} produces an ASP which returns the value of \\spad{v}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-386) 
+(-387) 
 ((|constructor| (NIL "\\axiomType{FortranMatrixFunctionCategory} provides support for producing Functions and Subroutines representing matrices of expressions.")) (|retractIfCan| (((|Union| $ "failed") (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Fraction| (|Polynomial| (|Float|))))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Expression| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Expression| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Fraction| (|Polynomial| (|Float|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Expression| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Expression| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}"))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-387 R S) 
+(-388 R S) 
 ((|constructor| (NIL "A \\spad{bi}-module is a free module over a ring with generators indexed by an ordered set. Each element can be expressed as a finite linear combination of generators. Only non-zero terms are stored."))) 
-((-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (QUOTE (-172)))) 
-(-388 S) 
+((-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (QUOTE (-173)))) 
+(-389 S) 
 ((|constructor| (NIL "The free monoid on a set \\spad{S} is the monoid of finite products of the form \\spad{reduce(*,{}[\\spad{si} ** \\spad{ni}])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are nonnegative integers. The multiplication is not commutative.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f,{} a1\\^e1 ... an\\^en)} returns \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (|mapExpon| (($ (|Mapping| (|NonNegativeInteger|) (|NonNegativeInteger|)) $) "\\spad{mapExpon(f,{} a1\\^e1 ... an\\^en)} returns \\spad{a1\\^f(e1) ... an\\^f(en)}.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(x,{} n)} returns the factor of the n^th monomial of \\spad{x}.")) (|nthExpon| (((|NonNegativeInteger|) $ (|Integer|)) "\\spad{nthExpon(x,{} n)} returns the exponent of the n^th monomial of \\spad{x}.")) (|factors| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| (|NonNegativeInteger|)))) $) "\\spad{factors(a1\\^e1,{}...,{}an\\^en)} returns \\spad{[[a1,{} e1],{}...,{}[an,{} en]]}.")) (|size| (((|NonNegativeInteger|) $) "\\spad{size(x)} returns the number of monomials in \\spad{x}.")) (|overlap| (((|Record| (|:| |lm| $) (|:| |mm| $) (|:| |rm| $)) $ $) "\\spad{overlap(x,{} y)} returns \\spad{[l,{} m,{} r]} such that \\spad{x = l * m},{} \\spad{y = m * r} and \\spad{l} and \\spad{r} have no overlap,{} \\spadignore{i.e.} \\spad{overlap(l,{} r) = [l,{} 1,{} r]}.")) (|divide| (((|Union| (|Record| (|:| |lm| $) (|:| |rm| $)) "failed") $ $) "\\spad{divide(x,{} y)} returns the left and right exact quotients of \\spad{x} by \\spad{y},{} \\spadignore{i.e.} \\spad{[l,{} r]} such that \\spad{x = l * y * r},{} \"failed\" if \\spad{x} is not of the form \\spad{l * y * r}.")) (|rquo| (((|Union| $ "failed") $ $) "\\spad{rquo(x,{} y)} returns the exact right quotient of \\spad{x} by \\spad{y} \\spadignore{i.e.} \\spad{q} such that \\spad{x = q * y},{} \"failed\" if \\spad{x} is not of the form \\spad{q * y}.")) (|lquo| (((|Union| $ "failed") $ $) "\\spad{lquo(x,{} y)} returns the exact left quotient of \\spad{x} by \\spad{y} \\spadignore{i.e.} \\spad{q} such that \\spad{x = y * q},{} \"failed\" if \\spad{x} is not of the form \\spad{y * q}.")) (|hcrf| (($ $ $) "\\spad{hcrf(x,{} y)} returns the highest common right factor of \\spad{x} and \\spad{y},{} \\spadignore{i.e.} the largest \\spad{d} such that \\spad{x = a d} and \\spad{y = b d}.")) (|hclf| (($ $ $) "\\spad{hclf(x,{} y)} returns the highest common left factor of \\spad{x} and \\spad{y},{} \\spadignore{i.e.} the largest \\spad{d} such that \\spad{x = d a} and \\spad{y = d b}.")) (** (($ |#1| (|NonNegativeInteger|)) "\\spad{s ** n} returns the product of \\spad{s} by itself \\spad{n} times.")) (* (($ $ |#1|) "\\spad{x * s} returns the product of \\spad{x} by \\spad{s} on the right.") (($ |#1| $) "\\spad{s * x} returns the product of \\spad{x} by \\spad{s} on the left."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-842)))) 
-(-389) 
+((|HasCategory| |#1| (QUOTE (-843)))) 
+(-390) 
 ((|constructor| (NIL "A category of domains which model machine arithmetic used by machines in the AXIOM-NAG link."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-390) 
+(-391) 
 ((|constructor| (NIL "This domain provides an interface to names in the file system."))) 
 NIL 
 NIL 
-(-391) 
+(-392) 
 ((|constructor| (NIL "This category provides an interface to names in the file system.")) (|new| (($ (|String|) (|String|) (|String|)) "\\spad{new(d,{}pref,{}e)} constructs the name of a new writable file with \\spad{d} as its directory,{} \\spad{pref} as a prefix of its name and \\spad{e} as its extension. When \\spad{d} or \\spad{t} is the empty string,{} a default is used. An error occurs if a new file cannot be written in the given directory.")) (|writable?| (((|Boolean|) $) "\\spad{writable?(f)} tests if the named file be opened for writing. The named file need not already exist.")) (|readable?| (((|Boolean|) $) "\\spad{readable?(f)} tests if the named file exist and can it be opened for reading.")) (|exists?| (((|Boolean|) $) "\\spad{exists?(f)} tests if the file exists in the file system.")) (|extension| (((|String|) $) "\\spad{extension(f)} returns the type part of the file name.")) (|name| (((|String|) $) "\\spad{name(f)} returns the name part of the file name.")) (|directory| (((|String|) $) "\\spad{directory(f)} returns the directory part of the file name.")) (|filename| (($ (|String|) (|String|) (|String|)) "\\spad{filename(d,{}n,{}e)} creates a file name with \\spad{d} as its directory,{} \\spad{n} as its name and \\spad{e} as its extension. This is a portable way to create file names. When \\spad{d} or \\spad{t} is the empty string,{} a default is used.")) (|coerce| (((|String|) $) "\\spad{coerce(fn)} produces a string for a file name according to operating system-dependent conventions.") (($ (|String|)) "\\spad{coerce(s)} converts a string to a file name according to operating system-dependent conventions."))) 
 NIL 
 NIL 
-(-392 |n| |class| R) 
+(-393 |n| |class| R) 
 ((|constructor| (NIL "Generate the Free Lie Algebra over a ring \\spad{R} with identity; A \\spad{P}. Hall basis is generated by a package call to HallBasis.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(i)} is the \\spad{i}th Hall Basis element")) (|shallowExpand| (((|OutputForm|) $) "\\spad{shallowExpand(x)} is not documented")) (|deepExpand| (((|OutputForm|) $) "\\spad{deepExpand(x)} is not documented")) (|dimension| (((|NonNegativeInteger|)) "\\spad{dimension()} is the rank of this Lie algebra"))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-393) 
+(-394) 
 ((|constructor| (NIL "Code to manipulate Fortran Output Stack")) (|topFortranOutputStack| (((|String|)) "\\spad{topFortranOutputStack()} returns the top element of the Fortran output stack")) (|pushFortranOutputStack| (((|Void|) (|String|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack") (((|Void|) (|FileName|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack")) (|popFortranOutputStack| (((|Void|)) "\\spad{popFortranOutputStack()} pops the Fortran output stack")) (|showFortranOutputStack| (((|Stack| (|String|))) "\\spad{showFortranOutputStack()} returns the Fortran output stack")) (|clearFortranOutputStack| (((|Stack| (|String|))) "\\spad{clearFortranOutputStack()} clears the Fortran output stack"))) 
 NIL 
 NIL 
-(-394 -1478 UP UPUP R) 
+(-395 -1564 UP UPUP R) 
 ((|constructor| (NIL "Finds the order of a divisor over a finite field")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented"))) 
 NIL 
 NIL 
-(-395 S) 
+(-396 S) 
 ((|constructor| (NIL "\\spadtype{ScriptFormulaFormat1} provides a utility coercion for changing to SCRIPT formula format anything that has a coercion to the standard output format.")) (|coerce| (((|ScriptFormulaFormat|) |#1|) "\\spad{coerce(s)} provides a direct coercion from an expression \\spad{s} of domain \\spad{S} to SCRIPT formula format. This allows the user to skip the step of first manually coercing the object to standard output format before it is coerced to SCRIPT formula format."))) 
 NIL 
 NIL 
-(-396) 
+(-397) 
 ((|constructor| (NIL "\\spadtype{ScriptFormulaFormat} provides a coercion from \\spadtype{OutputForm} to IBM SCRIPT/VS Mathematical Formula Format. The basic SCRIPT formula format object consists of three parts: a prologue,{} a formula part and an epilogue. The functions \\spadfun{prologue},{} \\spadfun{formula} and \\spadfun{epilogue} extract these parts,{} respectively. The central parts of the expression go into the formula part. The other parts can be set (\\spadfun{setPrologue!},{} \\spadfun{setEpilogue!}) so that contain the appropriate tags for printing. For example,{} the prologue and epilogue might simply contain \":df.\" and \":edf.\" so that the formula section will be printed in display math mode.")) (|setPrologue!| (((|List| (|String|)) $ (|List| (|String|))) "\\spad{setPrologue!(t,{}strings)} sets the prologue section of a formatted object \\spad{t} to \\spad{strings}.")) (|setFormula!| (((|List| (|String|)) $ (|List| (|String|))) "\\spad{setFormula!(t,{}strings)} sets the formula section of a formatted object \\spad{t} to \\spad{strings}.")) (|setEpilogue!| (((|List| (|String|)) $ (|List| (|String|))) "\\spad{setEpilogue!(t,{}strings)} sets the epilogue section of a formatted object \\spad{t} to \\spad{strings}.")) (|prologue| (((|List| (|String|)) $) "\\spad{prologue(t)} extracts the prologue section of a formatted object \\spad{t}.")) (|new| (($) "\\spad{new()} create a new,{} empty object. Use \\spadfun{setPrologue!},{} \\spadfun{setFormula!} and \\spadfun{setEpilogue!} to set the various components of this object.")) (|formula| (((|List| (|String|)) $) "\\spad{formula(t)} extracts the formula section of a formatted object \\spad{t}.")) (|epilogue| (((|List| (|String|)) $) "\\spad{epilogue(t)} extracts the epilogue section of a formatted object \\spad{t}.")) (|display| (((|Void|) $) "\\spad{display(t)} outputs the formatted code \\spad{t} so that each line has length less than or equal to the value set by the system command \\spadsyscom{set output length}.") (((|Void|) $ (|Integer|)) "\\spad{display(t,{}width)} outputs the formatted code \\spad{t} so that each line has length less than or equal to \\spadvar{\\spad{width}}.")) (|convert| (($ (|OutputForm|) (|Integer|)) "\\spad{convert(o,{}step)} changes \\spad{o} in standard output format to SCRIPT formula format and also adds the given \\spad{step} number. This is useful if you want to create equations with given numbers or have the equation numbers correspond to the interpreter \\spad{step} numbers.")) (|coerce| (($ (|OutputForm|)) "\\spad{coerce(o)} changes \\spad{o} in the standard output format to SCRIPT formula format."))) 
 NIL 
 NIL 
-(-397) 
+(-398) 
 ((|constructor| (NIL "\\axiomType{FortranProgramCategory} provides various models of FORTRAN subprograms. These can be transformed into actual FORTRAN code.")) (|outputAsFortran| (((|Void|) $) "\\axiom{outputAsFortran(\\spad{u})} translates \\axiom{\\spad{u}} into a legal FORTRAN subprogram."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-398) 
+(-399) 
 ((|constructor| (NIL "\\axiomType{FortranFunctionCategory} is the category of arguments to NAG Library routines which return (sets of) function values.")) (|retractIfCan| (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Polynomial| (|Float|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Expression| (|Integer|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Expression| (|Float|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Polynomial| (|Integer|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Polynomial| (|Float|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Expression| (|Integer|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Expression| (|Float|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}"))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-399) 
+(-400) 
 ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}t,{}lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,{}l,{}ll,{}lv,{}t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}ll,{}lv)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-400 -3393 |returnType| |arguments| |symbols|) 
+(-401 -1486 |returnType| |arguments| |symbols|) 
 ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} is not documented") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} is not documented") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} is not documented") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} is not documented") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} is not documented") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} is not documented") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} is not documented") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} is not documented") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} is not documented") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} is not documented") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} is not documented") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} is not documented") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} is not documented") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} is not documented") (($ (|FortranCode|)) "\\spad{coerce(fc)} is not documented"))) 
 NIL 
 NIL 
-(-401 -1478 UP) 
+(-402 -1564 UP) 
 ((|constructor| (NIL "Full partial fraction expansion of rational functions")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(f,{} n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{D(f)} returns the derivative of \\spad{f}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(f,{} n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{differentiate(f)} returns the derivative of \\spad{f}.")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p,{} [[j,{} Dj,{} Hj]...]]} such that \\spad{f = p(x) + sum_{[j,{}Dj,{}Hj] in l} sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) 
 NIL 
 NIL 
-(-402 R) 
+(-403 R) 
 ((|constructor| (NIL "A set \\spad{S} is PatternMatchable over \\spad{R} if \\spad{S} can lift the pattern-matching functions of \\spad{S} over the integers and float to itself (necessary for matching in towers)."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-403 S) 
+(-404 S) 
 ((|constructor| (NIL "FieldOfPrimeCharacteristic is the category of fields of prime characteristic,{} \\spadignore{e.g.} finite fields,{} algebraic closures of fields of prime characteristic,{} transcendental extensions of of fields of prime characteristic.")) (|primeFrobenius| (($ $ (|NonNegativeInteger|)) "\\spad{primeFrobenius(a,{}s)} returns \\spad{a**(p**s)} where \\spad{p} is the characteristic.") (($ $) "\\spad{primeFrobenius(a)} returns \\spad{a**p} where \\spad{p} is the characteristic.")) (|discreteLog| (((|Union| (|NonNegativeInteger|) "failed") $ $) "\\spad{discreteLog(b,{}a)} computes \\spad{s} with \\spad{b**s = a} if such an \\spad{s} exists.")) (|order| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{order(a)} computes the order of an element in the multiplicative group of the field. Error: if \\spad{a} is 0."))) 
 NIL 
 NIL 
-(-404) 
+(-405) 
 ((|constructor| (NIL "FieldOfPrimeCharacteristic is the category of fields of prime characteristic,{} \\spadignore{e.g.} finite fields,{} algebraic closures of fields of prime characteristic,{} transcendental extensions of of fields of prime characteristic.")) (|primeFrobenius| (($ $ (|NonNegativeInteger|)) "\\spad{primeFrobenius(a,{}s)} returns \\spad{a**(p**s)} where \\spad{p} is the characteristic.") (($ $) "\\spad{primeFrobenius(a)} returns \\spad{a**p} where \\spad{p} is the characteristic.")) (|discreteLog| (((|Union| (|NonNegativeInteger|) "failed") $ $) "\\spad{discreteLog(b,{}a)} computes \\spad{s} with \\spad{b**s = a} if such an \\spad{s} exists.")) (|order| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{order(a)} computes the order of an element in the multiplicative group of the field. Error: if \\spad{a} is 0."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-405 S) 
+(-406 S) 
 ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline 1: base of the exponent where the actual implemenations are usually binary or decimal)\\spad{\\br} 2: precision of the mantissa (arbitrary or fixed)\\spad{\\br} 3: rounding error for operations \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\indented{1}{base() returns the base of the} \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note that \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,{}e,{}b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,{}e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4504)) (|HasAttribute| |#1| (QUOTE -4512))) 
-(-406) 
+((|HasAttribute| |#1| (QUOTE -4518)) (|HasAttribute| |#1| (QUOTE -4526))) 
+(-407) 
 ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline 1: base of the exponent where the actual implemenations are usually binary or decimal)\\spad{\\br} 2: precision of the mantissa (arbitrary or fixed)\\spad{\\br} 3: rounding error for operations \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\indented{1}{base() returns the base of the} \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note that \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,{}e,{}b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,{}e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) 
-((-3999 . T) (-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2994 . T) (-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-407 R S) 
+(-408 R S) 
 ((|constructor| (NIL "\\spadtype{FactoredFunctions2} contains functions that involve factored objects whose underlying domains may not be the same. For example,{} \\spadfun{map} might be used to coerce an object of type \\spadtype{Factored(Integer)} to \\spadtype{Factored(Complex(Integer))}.")) (|map| (((|Factored| |#2|) (|Mapping| |#2| |#1|) (|Factored| |#1|)) "\\spad{map(fn,{}u)} is used to apply the function \\userfun{\\spad{fn}} to every factor of \\spadvar{\\spad{u}}. The new factored object will have all its information flags set to \"nil\". This function is used,{} for example,{} to coerce every factor base to another type."))) 
 NIL 
 NIL 
-(-408 A B) 
+(-409 A B) 
 ((|constructor| (NIL "This package extends a map between integral domains to a map between Fractions over those domains by applying the map to the numerators and denominators.")) (|map| (((|Fraction| |#2|) (|Mapping| |#2| |#1|) (|Fraction| |#1|)) "\\spad{map(func,{}frac)} applies the function \\spad{func} to the numerator and denominator of the fraction \\spad{frac}."))) 
 NIL 
 NIL 
-(-409 S) 
+(-410 S) 
 ((|constructor| (NIL "Fraction takes an IntegralDomain \\spad{S} and produces the domain of Fractions with numerators and denominators from \\spad{S}. If \\spad{S} is also a GcdDomain,{} then \\spad{gcd}\\spad{'s} between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) 
-((-4508 -12 (|has| |#1| (-6 -4519)) (|has| |#1| (-453)) (|has| |#1| (-6 -4508))) (-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-904))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#1| (QUOTE (-1136))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -281) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-550))) (-12 (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-823)))) (-12 (|HasAttribute| |#1| (QUOTE -4519)) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-453)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (-12 (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-823))))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#1| (QUOTE (-842)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-823))))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568)))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-823))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (-12 (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-823))))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-823))))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (|HasCategory| |#1| (QUOTE (-148))))) 
-(-410 S R UP) 
+((-4522 -12 (|has| |#1| (-6 -4533)) (|has| |#1| (-454)) (|has| |#1| (-6 -4522))) (-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-1022))) (|HasCategory| |#1| (QUOTE (-816))) (|HasCategory| |#1| (QUOTE (-1137))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -282) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-551))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-824)))) (-12 (|HasAttribute| |#1| (QUOTE -4533)) (|HasAttribute| |#1| (QUOTE -4522)) (|HasCategory| |#1| (QUOTE (-454)))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-824))))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-816))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-824))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-824))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-824))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-824))))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-411 S R UP) 
 ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#2|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#2|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#2|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(\\spad{vi} * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
 NIL 
 NIL 
-(-411 R UP) 
+(-412 R UP) 
 ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#1|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#1|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#1|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(\\spad{vi} * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#1|)) "\\spad{convert([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#1|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-412 A S) 
+(-413 A S) 
 ((|constructor| (NIL "A is fully retractable to \\spad{B} means that A is retractable to \\spad{B} and if \\spad{B} is retractable to the integers or rational numbers then so is A. In particular,{} what we are asserting is that there are no integers (rationals) in A which don\\spad{'t} retract into \\spad{B}."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568))))) 
-(-413 S) 
+((|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569))))) 
+(-414 S) 
 ((|constructor| (NIL "A is fully retractable to \\spad{B} means that A is retractable to \\spad{B} and if \\spad{B} is retractable to the integers or rational numbers then so is A. In particular,{} what we are asserting is that there are no integers (rationals) in A which don\\spad{'t} retract into \\spad{B}."))) 
 NIL 
 NIL 
-(-414 R1 F1 U1 A1 R2 F2 U2 A2) 
+(-415 R1 F1 U1 A1 R2 F2 U2 A2) 
 ((|constructor| (NIL "Lifting of morphisms to fractional ideals.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,{}i)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-415 R -1478 UP A) 
+(-416 R -1564 UP A) 
 ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,{}x)} should be local but conditional.")) (|minimize| (($ $) "\\spad{minimize(I)} returns a reduced set of generators for \\spad{I}.")) (|denom| ((|#1| $) "\\spad{denom(1/d * (f1,{}...,{}fn))} returns \\spad{d}.")) (|numer| (((|Vector| |#4|) $) "\\spad{numer(1/d * (f1,{}...,{}fn))} = the vector \\spad{[f1,{}...,{}fn]}.")) (|norm| ((|#2| $) "\\spad{norm(I)} returns the norm of the ideal \\spad{I}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,{}...,{}fn))} returns the vector \\spad{[f1,{}...,{}fn]}.")) (|ideal| (($ (|Vector| |#4|)) "\\spad{ideal([f1,{}...,{}fn])} returns the ideal \\spad{(f1,{}...,{}fn)}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-416 R -1478 UP A |ibasis|) 
+(-417 R -1564 UP A |ibasis|) 
 ((|constructor| (NIL "Module representation of fractional ideals.")) (|module| (($ (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{module(I)} returns \\spad{I} viewed has a module over \\spad{R}.") (($ (|Vector| |#4|)) "\\spad{module([f1,{}...,{}fn])} = the module generated by \\spad{(f1,{}...,{}fn)} over \\spad{R}.")) (|norm| ((|#2| $) "\\spad{norm(f)} returns the norm of the module \\spad{f}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,{}...,{}fn))} = the vector \\spad{[f1,{}...,{}fn]}."))) 
 NIL 
-((|HasCategory| |#4| (LIST (QUOTE -1037) (|devaluate| |#2|)))) 
-(-417 AR R AS S) 
+((|HasCategory| |#4| (LIST (QUOTE -1038) (|devaluate| |#2|)))) 
+(-418 AR R AS S) 
 ((|constructor| (NIL "\\spad{FramedNonAssociativeAlgebraFunctions2} implements functions between two framed non associative algebra domains defined over different rings. The function map is used to coerce between algebras over different domains having the same structural constants.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,{}u)} maps \\spad{f} onto the coordinates of \\spad{u} to get an element in \\spad{AS} via identification of the basis of \\spad{AR} as beginning part of the basis of \\spad{AS}."))) 
 NIL 
 NIL 
-(-418 S R) 
+(-419 S R) 
 ((|constructor| (NIL "FramedNonAssociativeAlgebra(\\spad{R}) is a \\spadtype{FiniteRankNonAssociativeAlgebra} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank) over a commutative ring \\spad{R} together with a fixed \\spad{R}-module basis.")) (|apply| (($ (|Matrix| |#2|) $) "\\spad{apply(m,{}a)} defines a left operation of \\spad{n} by \\spad{n} matrices where \\spad{n} is the rank of the algebra in terms of matrix-vector multiplication,{} this is a substitute for a left module structure. Error: if shape of matrix doesn\\spad{'t} fit.")) (|rightRankPolynomial| (((|SparseUnivariatePolynomial| (|Polynomial| |#2|))) "\\spad{rightRankPolynomial()} calculates the right minimal polynomial of the generic element in the algebra,{} defined by the same structural constants over the polynomial ring in symbolic coefficients with respect to the fixed basis.")) (|leftRankPolynomial| (((|SparseUnivariatePolynomial| (|Polynomial| |#2|))) "\\spad{leftRankPolynomial()} calculates the left minimal polynomial of the generic element in the algebra,{} defined by the same structural constants over the polynomial ring in symbolic coefficients with respect to the fixed basis.")) (|rightRegularRepresentation| (((|Matrix| |#2|) $) "\\spad{rightRegularRepresentation(a)} returns the matrix of the linear map defined by right multiplication by \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|leftRegularRepresentation| (((|Matrix| |#2|) $) "\\spad{leftRegularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|rightTraceMatrix| (((|Matrix| |#2|)) "\\spad{rightTraceMatrix()} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|leftTraceMatrix| (((|Matrix| |#2|)) "\\spad{leftTraceMatrix()} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by left trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|rightDiscriminant| ((|#2|) "\\spad{rightDiscriminant()} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis. Note that the same as \\spad{determinant(rightTraceMatrix())}.")) (|leftDiscriminant| ((|#2|) "\\spad{leftDiscriminant()} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis. Note that the same as \\spad{determinant(leftTraceMatrix())}.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,{}...,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed \\spad{R}-module basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,{}...,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#2|))) "\\spad{conditionsForIdempotents()} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the fixed \\spad{R}-module basis.")) (|structuralConstants| (((|Vector| (|Matrix| |#2|))) "\\spad{structuralConstants()} calculates the structural constants \\spad{[(gammaijk) for k in 1..rank()]} defined by \\spad{\\spad{vi} * vj = gammaij1 * v1 + ... + gammaijn * vn},{} where \\spad{v1},{}...,{}\\spad{vn} is the fixed \\spad{R}-module basis.")) (|elt| ((|#2| $ (|Integer|)) "\\spad{elt(a,{}i)} returns the \\spad{i}-th coefficient of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([a1,{}...,{}am])} returns a matrix whose \\spad{i}-th row is formed by the coordinates of \\spad{\\spad{ai}} with respect to the fixed \\spad{R}-module basis.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-365)))) 
-(-419 R) 
+((|HasCategory| |#2| (QUOTE (-366)))) 
+(-420 R) 
 ((|constructor| (NIL "FramedNonAssociativeAlgebra(\\spad{R}) is a \\spadtype{FiniteRankNonAssociativeAlgebra} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank) over a commutative ring \\spad{R} together with a fixed \\spad{R}-module basis.")) (|apply| (($ (|Matrix| |#1|) $) "\\spad{apply(m,{}a)} defines a left operation of \\spad{n} by \\spad{n} matrices where \\spad{n} is the rank of the algebra in terms of matrix-vector multiplication,{} this is a substitute for a left module structure. Error: if shape of matrix doesn\\spad{'t} fit.")) (|rightRankPolynomial| (((|SparseUnivariatePolynomial| (|Polynomial| |#1|))) "\\spad{rightRankPolynomial()} calculates the right minimal polynomial of the generic element in the algebra,{} defined by the same structural constants over the polynomial ring in symbolic coefficients with respect to the fixed basis.")) (|leftRankPolynomial| (((|SparseUnivariatePolynomial| (|Polynomial| |#1|))) "\\spad{leftRankPolynomial()} calculates the left minimal polynomial of the generic element in the algebra,{} defined by the same structural constants over the polynomial ring in symbolic coefficients with respect to the fixed basis.")) (|rightRegularRepresentation| (((|Matrix| |#1|) $) "\\spad{rightRegularRepresentation(a)} returns the matrix of the linear map defined by right multiplication by \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|leftRegularRepresentation| (((|Matrix| |#1|) $) "\\spad{leftRegularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|rightTraceMatrix| (((|Matrix| |#1|)) "\\spad{rightTraceMatrix()} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|leftTraceMatrix| (((|Matrix| |#1|)) "\\spad{leftTraceMatrix()} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by left trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|rightDiscriminant| ((|#1|) "\\spad{rightDiscriminant()} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis. Note that the same as \\spad{determinant(rightTraceMatrix())}.")) (|leftDiscriminant| ((|#1|) "\\spad{leftDiscriminant()} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis. Note that the same as \\spad{determinant(leftTraceMatrix())}.")) (|convert| (($ (|Vector| |#1|)) "\\spad{convert([a1,{}...,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed \\spad{R}-module basis.") (((|Vector| |#1|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,{}...,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#1|))) "\\spad{conditionsForIdempotents()} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the fixed \\spad{R}-module basis.")) (|structuralConstants| (((|Vector| (|Matrix| |#1|))) "\\spad{structuralConstants()} calculates the structural constants \\spad{[(gammaijk) for k in 1..rank()]} defined by \\spad{\\spad{vi} * vj = gammaij1 * v1 + ... + gammaijn * vn},{} where \\spad{v1},{}...,{}\\spad{vn} is the fixed \\spad{R}-module basis.")) (|elt| ((|#1| $ (|Integer|)) "\\spad{elt(a,{}i)} returns the \\spad{i}-th coefficient of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([a1,{}...,{}am])} returns a matrix whose \\spad{i}-th row is formed by the coordinates of \\spad{\\spad{ai}} with respect to the fixed \\spad{R}-module basis.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
-((-4518 |has| |#1| (-558)) (-4516 . T) (-4515 . T)) 
+((-4532 |has| |#1| (-559)) (-4530 . T) (-4529 . T)) 
 NIL 
-(-420 R) 
-((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and \\spad{gcd} are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\indented{1}{map(\\spad{fn},{}\\spad{u}) maps the function \\userfun{\\spad{fn}} across the factors of} \\indented{1}{\\spadvar{\\spad{u}} and creates a new factored object. Note: this clears} \\indented{1}{the information flags (sets them to \"nil\") because the effect of} \\indented{1}{\\userfun{\\spad{fn}} is clearly not known in general.} \\blankline \\spad{X} \\spad{m}(a:Factored Polynomial Integer):Factored Polynomial Integer \\spad{==} \\spad{a^2} \\spad{X} \\spad{f:=x*y^3}-3*x^2*y^2+3*x^3*y-\\spad{x^4} \\spad{X} map(\\spad{m},{}\\spad{f}) \\spad{X} g:=makeFR(\\spad{z},{}factorList \\spad{f}) \\spad{X} map(\\spad{m},{}\\spad{g})")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\indented{1}{unit(\\spad{u}) extracts the unit part of the factorization.} \\blankline \\spad{X} \\spad{f:=x*y^3}-3*x^2*y^2+3*x^3*y-\\spad{x^4} \\spad{X} unit \\spad{f} \\spad{X} g:=makeFR(\\spad{z},{}factorList \\spad{f}) \\spad{X} unit \\spad{g}")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,{}exponent,{}flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\indented{1}{sqfrFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor whose base is asserted to be square-free} \\indented{1}{(flag = \"sqfr\").} \\blankline \\spad{X} a:=sqfrFactor(3,{}5) \\spad{X} nthFlag(a,{}1)")) (|primeFactor| (($ |#1| (|Integer|)) "\\indented{1}{primeFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor whose base is asserted to be prime} \\indented{1}{(flag = \"prime\").} \\blankline \\spad{X} a:=primeFactor(3,{}4) \\spad{X} nthFlag(a,{}1)")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\indented{1}{numberOfFactors(\\spad{u}) returns the number of factors in \\spadvar{\\spad{u}}.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} numberOfFactors a")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\indented{1}{nthFlag(\\spad{u},{}\\spad{n}) returns the information flag of the \\spad{n}th factor of} \\indented{1}{\\spadvar{\\spad{u}}.\\space{2}If \\spadvar{\\spad{n}} is not a valid index for a factor} \\indented{1}{(for example,{} less than 1 or too big),{} \"nil\" is returned.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} nthFlag(a,{}2)")) (|nthFactor| ((|#1| $ (|Integer|)) "\\indented{1}{nthFactor(\\spad{u},{}\\spad{n}) returns the base of the \\spad{n}th factor of} \\indented{1}{\\spadvar{\\spad{u}}.\\space{2}If \\spadvar{\\spad{n}} is not a valid index for a factor} \\indented{1}{(for example,{} less than 1 or too big),{} 1 is returned.\\space{2}If} \\indented{1}{\\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} nthFactor(a,{}2)")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\indented{1}{nthExponent(\\spad{u},{}\\spad{n}) returns the exponent of the \\spad{n}th factor of} \\indented{1}{\\spadvar{\\spad{u}}.\\space{2}If \\spadvar{\\spad{n}} is not a valid index for a factor} \\indented{1}{(for example,{} less than 1 or too big),{} 0 is returned.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} nthExponent(a,{}2)")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\indented{1}{irreducibleFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor whose base is asserted to be irreducible} \\indented{1}{(flag = \"irred\").} \\blankline \\spad{X} a:=irreducibleFactor(3,{}1) \\spad{X} nthFlag(a,{}1)")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\indented{1}{factors(\\spad{u}) returns a list of the factors in a form suitable} \\indented{1}{for iteration. That is,{} it returns a list where each element} \\indented{1}{is a record containing a base and exponent.\\space{2}The original} \\indented{1}{object is the product of all the factors and the unit (which} \\indented{1}{can be extracted by \\axiom{unit(\\spad{u})}).} \\blankline \\spad{X} \\spad{f:=x*y^3}-3*x^2*y^2+3*x^3*y-\\spad{x^4} \\spad{X} factors \\spad{f} \\spad{X} g:=makeFR(\\spad{z},{}factorList \\spad{f}) \\spad{X} factors \\spad{g}")) (|nilFactor| (($ |#1| (|Integer|)) "\\indented{1}{nilFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor with no information about the kind of} \\indented{1}{base (flag = \"nil\").} \\blankline \\spad{X} nilFactor(24,{}2) \\spad{X} nilFactor(\\spad{x}-\\spad{y},{}3)")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\indented{1}{factorList(\\spad{u}) returns the list of factors with flags (for} \\indented{1}{use by factoring code).} \\blankline \\spad{X} f:=nilFactor(\\spad{x}-\\spad{y},{}3) \\spad{X} factorList \\spad{f}")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\indented{1}{makeFR(unit,{}listOfFactors) creates a factored object (for} \\indented{1}{use by factoring code).} \\blankline \\spad{X} f:=nilFactor(\\spad{x}-\\spad{y},{}3) \\spad{X} g:=factorList \\spad{f} \\spad{X} makeFR(\\spad{z},{}\\spad{g})")) (|exponent| (((|Integer|) $) "\\indented{1}{exponent(\\spad{u}) returns the exponent of the first factor of} \\indented{1}{\\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.} \\blankline \\spad{X} f:=nilFactor(\\spad{y}-\\spad{x},{}3) \\spad{X} exponent(\\spad{f})")) (|expand| ((|#1| $) "\\indented{1}{expand(\\spad{f}) multiplies the unit and factors together,{} yielding an} \\indented{1}{\"unfactored\" object. Note: this is purposely not called} \\indented{1}{\\spadfun{coerce} which would cause the interpreter to do this} \\indented{1}{automatically.} \\blankline \\spad{X} f:=nilFactor(\\spad{y}-\\spad{x},{}3) \\spad{X} expand(\\spad{f})"))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -523) (QUOTE (-1161)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -303) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -281) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-1199))) (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -281) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-453))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-1199))))) 
 (-421 R) 
+((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and \\spad{gcd} are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\indented{1}{map(\\spad{fn},{}\\spad{u}) maps the function \\userfun{\\spad{fn}} across the factors of} \\indented{1}{\\spadvar{\\spad{u}} and creates a new factored object. Note: this clears} \\indented{1}{the information flags (sets them to \"nil\") because the effect of} \\indented{1}{\\userfun{\\spad{fn}} is clearly not known in general.} \\blankline \\spad{X} \\spad{m}(a:Factored Polynomial Integer):Factored Polynomial Integer \\spad{==} \\spad{a^2} \\spad{X} \\spad{f:=x*y^3}-3*x^2*y^2+3*x^3*y-\\spad{x^4} \\spad{X} map(\\spad{m},{}\\spad{f}) \\spad{X} g:=makeFR(\\spad{z},{}factorList \\spad{f}) \\spad{X} map(\\spad{m},{}\\spad{g})")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\indented{1}{unit(\\spad{u}) extracts the unit part of the factorization.} \\blankline \\spad{X} \\spad{f:=x*y^3}-3*x^2*y^2+3*x^3*y-\\spad{x^4} \\spad{X} unit \\spad{f} \\spad{X} g:=makeFR(\\spad{z},{}factorList \\spad{f}) \\spad{X} unit \\spad{g}")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,{}exponent,{}flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\indented{1}{sqfrFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor whose base is asserted to be square-free} \\indented{1}{(flag = \"sqfr\").} \\blankline \\spad{X} a:=sqfrFactor(3,{}5) \\spad{X} nthFlag(a,{}1)")) (|primeFactor| (($ |#1| (|Integer|)) "\\indented{1}{primeFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor whose base is asserted to be prime} \\indented{1}{(flag = \"prime\").} \\blankline \\spad{X} a:=primeFactor(3,{}4) \\spad{X} nthFlag(a,{}1)")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\indented{1}{numberOfFactors(\\spad{u}) returns the number of factors in \\spadvar{\\spad{u}}.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} numberOfFactors a")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\indented{1}{nthFlag(\\spad{u},{}\\spad{n}) returns the information flag of the \\spad{n}th factor of} \\indented{1}{\\spadvar{\\spad{u}}.\\space{2}If \\spadvar{\\spad{n}} is not a valid index for a factor} \\indented{1}{(for example,{} less than 1 or too big),{} \"nil\" is returned.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} nthFlag(a,{}2)")) (|nthFactor| ((|#1| $ (|Integer|)) "\\indented{1}{nthFactor(\\spad{u},{}\\spad{n}) returns the base of the \\spad{n}th factor of} \\indented{1}{\\spadvar{\\spad{u}}.\\space{2}If \\spadvar{\\spad{n}} is not a valid index for a factor} \\indented{1}{(for example,{} less than 1 or too big),{} 1 is returned.\\space{2}If} \\indented{1}{\\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} nthFactor(a,{}2)")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\indented{1}{nthExponent(\\spad{u},{}\\spad{n}) returns the exponent of the \\spad{n}th factor of} \\indented{1}{\\spadvar{\\spad{u}}.\\space{2}If \\spadvar{\\spad{n}} is not a valid index for a factor} \\indented{1}{(for example,{} less than 1 or too big),{} 0 is returned.} \\blankline \\spad{X} a:=factor 9720000 \\spad{X} nthExponent(a,{}2)")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\indented{1}{irreducibleFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor whose base is asserted to be irreducible} \\indented{1}{(flag = \"irred\").} \\blankline \\spad{X} a:=irreducibleFactor(3,{}1) \\spad{X} nthFlag(a,{}1)")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\indented{1}{factors(\\spad{u}) returns a list of the factors in a form suitable} \\indented{1}{for iteration. That is,{} it returns a list where each element} \\indented{1}{is a record containing a base and exponent.\\space{2}The original} \\indented{1}{object is the product of all the factors and the unit (which} \\indented{1}{can be extracted by \\axiom{unit(\\spad{u})}).} \\blankline \\spad{X} \\spad{f:=x*y^3}-3*x^2*y^2+3*x^3*y-\\spad{x^4} \\spad{X} factors \\spad{f} \\spad{X} g:=makeFR(\\spad{z},{}factorList \\spad{f}) \\spad{X} factors \\spad{g}")) (|nilFactor| (($ |#1| (|Integer|)) "\\indented{1}{nilFactor(base,{}exponent) creates a factored object with} \\indented{1}{a single factor with no information about the kind of} \\indented{1}{base (flag = \"nil\").} \\blankline \\spad{X} nilFactor(24,{}2) \\spad{X} nilFactor(\\spad{x}-\\spad{y},{}3)")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\indented{1}{factorList(\\spad{u}) returns the list of factors with flags (for} \\indented{1}{use by factoring code).} \\blankline \\spad{X} f:=nilFactor(\\spad{x}-\\spad{y},{}3) \\spad{X} factorList \\spad{f}")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\indented{1}{makeFR(unit,{}listOfFactors) creates a factored object (for} \\indented{1}{use by factoring code).} \\blankline \\spad{X} f:=nilFactor(\\spad{x}-\\spad{y},{}3) \\spad{X} g:=factorList \\spad{f} \\spad{X} makeFR(\\spad{z},{}\\spad{g})")) (|exponent| (((|Integer|) $) "\\indented{1}{exponent(\\spad{u}) returns the exponent of the first factor of} \\indented{1}{\\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.} \\blankline \\spad{X} f:=nilFactor(\\spad{y}-\\spad{x},{}3) \\spad{X} exponent(\\spad{f})")) (|expand| ((|#1| $) "\\indented{1}{expand(\\spad{f}) multiplies the unit and factors together,{} yielding an} \\indented{1}{\"unfactored\" object. Note: this is purposely not called} \\indented{1}{\\spadfun{coerce} which would cause the interpreter to do this} \\indented{1}{automatically.} \\blankline \\spad{X} f:=nilFactor(\\spad{y}-\\spad{x},{}3) \\spad{X} expand(\\spad{f})"))) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -304) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -282) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-1202))) (|HasCategory| |#1| (QUOTE (-1022))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -282) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-454))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-1202))))) 
+(-422 R) 
 ((|constructor| (NIL "\\spadtype{FactoredFunctionUtilities} implements some utility functions for manipulating factored objects.")) (|mergeFactors| (((|Factored| |#1|) (|Factored| |#1|) (|Factored| |#1|)) "\\spad{mergeFactors(u,{}v)} is used when the factorizations of \\spadvar{\\spad{u}} and \\spadvar{\\spad{v}} are known to be disjoint,{} \\spadignore{e.g.} resulting from a content/primitive part split. Essentially,{} it creates a new factored object by multiplying the units together and appending the lists of factors.")) (|refine| (((|Factored| |#1|) (|Factored| |#1|) (|Mapping| (|Factored| |#1|) |#1|)) "\\spad{refine(u,{}fn)} is used to apply the function \\userfun{\\spad{fn}} to each factor of \\spadvar{\\spad{u}} and then build a new factored object from the results. For example,{} if \\spadvar{\\spad{u}} were created by calling \\spad{nilFactor(10,{}2)} then \\spad{refine(u,{}factor)} would create a factored object equal to that created by \\spad{factor(100)} or \\spad{primeFactor(2,{}2) * primeFactor(5,{}2)}."))) 
 NIL 
 NIL 
-(-422 R FE |x| |cen|) 
+(-423 R FE |x| |cen|) 
 ((|constructor| (NIL "This package converts expressions in some function space to exponential expansions.")) (|localAbs| ((|#2| |#2|) "\\spad{localAbs(fcn)} = \\spad{abs(fcn)} or \\spad{sqrt(fcn**2)} depending on whether or not FE has a function \\spad{abs}. This should be a local function,{} but the compiler won\\spad{'t} allow it.")) (|exprToXXP| (((|Union| (|:| |%expansion| (|ExponentialExpansion| |#1| |#2| |#3| |#4|)) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|))))) |#2| (|Boolean|)) "\\spad{exprToXXP(fcn,{}posCheck?)} converts the expression \\spad{fcn} to an exponential expansion. If \\spad{posCheck?} is \\spad{true},{} log\\spad{'s} of negative numbers are not allowed nor are \\spad{n}th roots of negative numbers with \\spad{n} even. If \\spad{posCheck?} is \\spad{false},{} these are allowed."))) 
 NIL 
 NIL 
-(-423 R A S B) 
+(-424 R A S B) 
 ((|constructor| (NIL "Lifting of maps to function spaces This package allows a mapping \\spad{R} \\spad{->} \\spad{S} to be lifted to a mapping from a function space over \\spad{R} to a function space over \\spad{S}.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,{} a)} applies \\spad{f} to all the constants in \\spad{R} appearing in \\spad{a}."))) 
 NIL 
 NIL 
-(-424 R FE |Expon| UPS TRAN |x|) 
+(-425 R FE |Expon| UPS TRAN |x|) 
 ((|constructor| (NIL "This package converts expressions in some function space to power series in a variable \\spad{x} with coefficients in that function space. The function \\spadfun{exprToUPS} converts expressions to power series whose coefficients do not contain the variable \\spad{x}. The function \\spadfun{exprToGenUPS} converts functional expressions to power series whose coefficients may involve functions of \\spad{log(x)}.")) (|localAbs| ((|#2| |#2|) "\\spad{localAbs(fcn)} = \\spad{abs(fcn)} or \\spad{sqrt(fcn**2)} depending on whether or not FE has a function \\spad{abs}. This should be a local function,{} but the compiler won\\spad{'t} allow it.")) (|exprToGenUPS| (((|Union| (|:| |%series| |#4|) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|))))) |#2| (|Boolean|) (|String|)) "\\spad{exprToGenUPS(fcn,{}posCheck?,{}atanFlag)} converts the expression \\spad{fcn} to a generalized power series. If \\spad{posCheck?} is \\spad{true},{} log\\spad{'s} of negative numbers are not allowed nor are \\spad{n}th roots of negative numbers with \\spad{n} even. If \\spad{posCheck?} is \\spad{false},{} these are allowed. \\spad{atanFlag} determines how the case \\spad{atan(f(x))},{} where \\spad{f(x)} has a pole,{} will be treated. The possible values of \\spad{atanFlag} are \\spad{\"complex\"},{} \\spad{\"real: two sides\"},{} \\spad{\"real: left side\"},{} \\spad{\"real: right side\"},{} and \\spad{\"just do it\"}. If \\spad{atanFlag} is \\spad{\"complex\"},{} then no series expansion will be computed because,{} viewed as a function of a complex variable,{} \\spad{atan(f(x))} has an essential singularity. Otherwise,{} the sign of the leading coefficient of the series expansion of \\spad{f(x)} determines the constant coefficient in the series expansion of \\spad{atan(f(x))}. If this sign cannot be determined,{} a series expansion is computed only when \\spad{atanFlag} is \\spad{\"just do it\"}. When the leading term in the series expansion of \\spad{f(x)} is of odd degree (or is a rational degree with odd numerator),{} then the constant coefficient in the series expansion of \\spad{atan(f(x))} for values to the left differs from that for values to the right. If \\spad{atanFlag} is \\spad{\"real: two sides\"},{} no series expansion will be computed. If \\spad{atanFlag} is \\spad{\"real: left side\"} the constant coefficient for values to the left will be used and if \\spad{atanFlag} \\spad{\"real: right side\"} the constant coefficient for values to the right will be used. If there is a problem in converting the function to a power series,{} we return a record containing the name of the function that caused the problem and a brief description of the problem. When expanding the expression into a series it is assumed that the series is centered at 0. For a series centered at a,{} the user should perform the substitution \\spad{x -> x + a} before calling this function.")) (|exprToUPS| (((|Union| (|:| |%series| |#4|) (|:| |%problem| (|Record| (|:| |func| (|String|)) (|:| |prob| (|String|))))) |#2| (|Boolean|) (|String|)) "\\spad{exprToUPS(fcn,{}posCheck?,{}atanFlag)} converts the expression \\spad{fcn} to a power series. If \\spad{posCheck?} is \\spad{true},{} log\\spad{'s} of negative numbers are not allowed nor are \\spad{n}th roots of negative numbers with \\spad{n} even. If \\spad{posCheck?} is \\spad{false},{} these are allowed. \\spad{atanFlag} determines how the case \\spad{atan(f(x))},{} where \\spad{f(x)} has a pole,{} will be treated. The possible values of \\spad{atanFlag} are \\spad{\"complex\"},{} \\spad{\"real: two sides\"},{} \\spad{\"real: left side\"},{} \\spad{\"real: right side\"},{} and \\spad{\"just do it\"}. If \\spad{atanFlag} is \\spad{\"complex\"},{} then no series expansion will be computed because,{} viewed as a function of a complex variable,{} \\spad{atan(f(x))} has an essential singularity. Otherwise,{} the sign of the leading coefficient of the series expansion of \\spad{f(x)} determines the constant coefficient in the series expansion of \\spad{atan(f(x))}. If this sign cannot be determined,{} a series expansion is computed only when \\spad{atanFlag} is \\spad{\"just do it\"}. When the leading term in the series expansion of \\spad{f(x)} is of odd degree (or is a rational degree with odd numerator),{} then the constant coefficient in the series expansion of \\spad{atan(f(x))} for values to the left differs from that for values to the right. If \\spad{atanFlag} is \\spad{\"real: two sides\"},{} no series expansion will be computed. If \\spad{atanFlag} is \\spad{\"real: left side\"} the constant coefficient for values to the left will be used and if \\spad{atanFlag} \\spad{\"real: right side\"} the constant coefficient for values to the right will be used. If there is a problem in converting the function to a power series,{} a record containing the name of the function that caused the problem and a brief description of the problem is returned. When expanding the expression into a series it is assumed that the series is centered at 0. For a series centered at a,{} the user should perform the substitution \\spad{x -> x + a} before calling this function.")) (|integrate| (($ $) "\\spad{integrate(x)} returns the integral of \\spad{x} since we need to be able to integrate a power series")) (|differentiate| (($ $) "\\spad{differentiate(x)} returns the derivative of \\spad{x} since we need to be able to differentiate a power series")) (|coerce| (($ |#3|) "\\spad{coerce(e)} converts an 'exponent' \\spad{e} to an 'expression'"))) 
 NIL 
 NIL 
-(-425 S A R B) 
+(-426 S A R B) 
 ((|constructor| (NIL "\\spad{FiniteSetAggregateFunctions2} provides functions involving two finite set aggregates where the underlying domains might be different. An example of this is to create a set of rational numbers by mapping a function across a set of integers,{} where the function divides each integer by 1000.")) (|scan| ((|#4| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{scan(f,{}a,{}r)} successively applies \\spad{reduce(f,{}x,{}r)} to more and more leading sub-aggregates \\spad{x} of aggregate \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,{}a2,{}...]},{} then \\spad{scan(f,{}a,{}r)} returns \\spad {[reduce(f,{}[a1],{}r),{}reduce(f,{}[a1,{}a2],{}r),{}...]}.")) (|reduce| ((|#3| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{reduce(f,{}a,{}r)} applies function \\spad{f} to each successive element of the aggregate \\spad{a} and an accumulant initialised to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,{}[1,{}2,{}3],{}0)} does a \\spad{3+(2+(1+0))}. Note that third argument \\spad{r} may be regarded as an identity element for the function.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,{}a)} applies function \\spad{f} to each member of aggregate \\spad{a},{} creating a new aggregate with a possibly different underlying domain."))) 
 NIL 
 NIL 
-(-426 A S) 
+(-427 A S) 
 ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#2| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#2| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note that \\axiom{cardinality(\\spad{u}) = \\#u}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-370)))) 
-(-427 S) 
+((|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-371)))) 
+(-428 S) 
 ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note that \\axiom{cardinality(\\spad{u}) = \\#u}."))) 
-((-4521 . T) (-4511 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4525 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-428 R -1478) 
+(-429 R -1564) 
 ((|constructor| (NIL "Top-level complex function integration \\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) 
 NIL 
 NIL 
-(-429 R E) 
+(-430 R E) 
 ((|constructor| (NIL "This domain converts terms into Fourier series")) (|makeCos| (($ |#2| |#1|) "\\indented{1}{makeCos(\\spad{e},{}\\spad{r}) makes a sin expression with given} argument and coefficient")) (|makeSin| (($ |#2| |#1|) "\\spad{makeSin(e,{}r)} makes a sin expression with given argument and coefficient")) (|coerce| (($ (|FourierComponent| |#2|)) "\\spad{coerce(c)} converts sin/cos terms into Fourier Series") (($ |#1|) "\\spad{coerce(r)} converts coefficients into Fourier Series"))) 
-((-4508 -12 (|has| |#1| (-6 -4508)) (|has| |#2| (-6 -4508))) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((-12 (|HasAttribute| |#1| (QUOTE -4508)) (|HasAttribute| |#2| (QUOTE -4508)))) 
-(-430 R -1478) 
+((-4522 -12 (|has| |#1| (-6 -4522)) (|has| |#2| (-6 -4522))) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((-12 (|HasAttribute| |#1| (QUOTE -4522)) (|HasAttribute| |#2| (QUOTE -4522)))) 
+(-431 R -1564) 
 ((|constructor| (NIL "Top-level real function integration \\spadtype{FunctionSpaceIntegration} provides functions for the indefinite integration of real-valued functions.")) (|integrate| (((|Union| |#2| (|List| |#2|)) |#2| (|Symbol|)) "\\spad{integrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable."))) 
 NIL 
 NIL 
-(-431 S R) 
+(-432 S R) 
 ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f,{} k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#2| (|Kernel| $)) (|SparseMultivariatePolynomial| |#2| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#2| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#2| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#2|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#2|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#2|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#2| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n,{} x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,{}f)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,{}op)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a1,{}...,{}am)**n} in \\spad{x} by \\spad{f(a1,{}...,{}am)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)**ni} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)**ni} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm],{} y)} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x,{} s,{} f,{} y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f,{} [foo1,{}...,{}foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f,{} foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo,{} [x1,{}...,{}xn])} returns \\spad{'foo(x1,{}...,{}xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z,{} t)} returns \\spad{'foo(x,{}y,{}z,{}t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z)} returns \\spad{'foo(x,{}y,{}z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo,{} x,{} y)} returns \\spad{'foo(x,{}y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo,{} x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#2| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-1047))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-478))) (|HasCategory| |#2| (QUOTE (-1102))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541))))) 
-(-432 R) 
+((|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-1048))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-1103))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542))))) 
+(-433 R) 
 ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f,{} k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n,{} x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,{}f)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,{}op)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a1,{}...,{}am)**n} in \\spad{x} by \\spad{f(a1,{}...,{}am)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)**ni} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)**ni} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm],{} y)} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x,{} s,{} f,{} y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f,{} [foo1,{}...,{}foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f,{} foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo,{} [x1,{}...,{}xn])} returns \\spad{'foo(x1,{}...,{}xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z,{} t)} returns \\spad{'foo(x,{}y,{}z,{}t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z)} returns \\spad{'foo(x,{}y,{}z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo,{} x,{} y)} returns \\spad{'foo(x,{}y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo,{} x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) 
-((-4518 -2199 (|has| |#1| (-1047)) (|has| |#1| (-478))) (-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) ((-4523 "*") |has| |#1| (-558)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-558)) (-4513 |has| |#1| (-558)) (-3973 . T)) 
+((-4532 -2232 (|has| |#1| (-1048)) (|has| |#1| (-479))) (-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) ((-4537 "*") |has| |#1| (-559)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-559)) (-4527 |has| |#1| (-559)) (-2982 . T)) 
 NIL 
-(-433 R -1478) 
+(-434 R -1564) 
 ((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiAiryBi| ((|#2| |#2|) "\\spad{iiAiryBi(x)} should be local but conditional.")) (|iiAiryAi| ((|#2| |#2|) "\\spad{iiAiryAi(x)} should be local but conditional.")) (|iiBesselK| ((|#2| (|List| |#2|)) "\\spad{iiBesselK(x)} should be local but conditional.")) (|iiBesselI| ((|#2| (|List| |#2|)) "\\spad{iiBesselI(x)} should be local but conditional.")) (|iiBesselY| ((|#2| (|List| |#2|)) "\\spad{iiBesselY(x)} should be local but conditional.")) (|iiBesselJ| ((|#2| (|List| |#2|)) "\\spad{iiBesselJ(x)} should be local but conditional.")) (|iipolygamma| ((|#2| (|List| |#2|)) "\\spad{iipolygamma(x)} should be local but conditional.")) (|iidigamma| ((|#2| |#2|) "\\spad{iidigamma(x)} should be local but conditional.")) (|iiBeta| ((|#2| (|List| |#2|)) "iiGamma(\\spad{x}) should be local but conditional.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,{}y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,{}y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,{}y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,{}y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,{}y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,{}y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,{}x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator."))) 
 NIL 
 NIL 
-(-434 R -1478) 
+(-435 R -1564) 
 ((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1,{} a2)} returns \\spad{[a,{} q1,{} q2,{} q]} such that \\spad{k(a1,{} a2) = k(a)},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for \\spad{a2} may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve \\spad{a2}; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,{}...,{}an])} returns \\spad{[a,{} [q1,{}...,{}qn],{} q]} such that then \\spad{k(a1,{}...,{}an) = k(a)},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-27)))) 
-(-435 R -1478) 
+(-436 R -1564) 
 ((|constructor| (NIL "Reduction from a function space to the rational numbers This package provides function which replaces transcendental kernels in a function space by random integers. The correspondence between the kernels and the integers is fixed between calls to new().")) (|newReduc| (((|Void|)) "\\spad{newReduc()} \\undocumented")) (|bringDown| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) |#2| (|Kernel| |#2|)) "\\spad{bringDown(f,{}k)} \\undocumented") (((|Fraction| (|Integer|)) |#2|) "\\spad{bringDown(f)} \\undocumented"))) 
 NIL 
 NIL 
-(-436) 
+(-437) 
 ((|constructor| (NIL "Creates and manipulates objects which correspond to the basic FORTRAN data types: REAL,{} INTEGER,{} COMPLEX,{} LOGICAL and CHARACTER")) (= (((|Boolean|) $ $) "\\spad{x=y} tests for equality")) (|logical?| (((|Boolean|) $) "\\spad{logical?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type LOGICAL.")) (|character?| (((|Boolean|) $) "\\spad{character?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type CHARACTER.")) (|doubleComplex?| (((|Boolean|) $) "\\spad{doubleComplex?(t)} tests whether \\spad{t} is equivalent to the (non-standard) FORTRAN type DOUBLE COMPLEX.")) (|complex?| (((|Boolean|) $) "\\spad{complex?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type COMPLEX.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type INTEGER.")) (|double?| (((|Boolean|) $) "\\spad{double?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type DOUBLE PRECISION")) (|real?| (((|Boolean|) $) "\\spad{real?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type REAL.")) (|coerce| (((|SExpression|) $) "\\spad{coerce(x)} returns the \\spad{s}-expression associated with \\spad{x}") (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol associated with \\spad{x}") (($ (|Symbol|)) "\\spad{coerce(s)} transforms the symbol \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of real,{} complex,{}double precision,{} logical,{} integer,{} character,{} REAL,{} COMPLEX,{} LOGICAL,{} INTEGER,{} CHARACTER,{} DOUBLE PRECISION") (($ (|String|)) "\\spad{coerce(s)} transforms the string \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of \"real\",{} \"double precision\",{} \"complex\",{} \"logical\",{} \"integer\",{} \"character\",{} \"REAL\",{} \"COMPLEX\",{} \"LOGICAL\",{} \"INTEGER\",{} \"CHARACTER\",{} \"DOUBLE PRECISION\""))) 
 NIL 
 NIL 
-(-437 R -1478 UP) 
+(-438 R -1564 UP) 
 ((|constructor| (NIL "This package is used internally by IR2F")) (|anfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) "failed") |#3|) "\\spad{anfactor(p)} tries to factor \\spad{p} over algebraic numbers,{} returning \"failed\" if it cannot")) (|UP2ifCan| (((|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|))) |#3|) "\\spad{UP2ifCan(x)} should be local but conditional.")) (|qfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "failed") |#3|) "\\spad{qfactor(p)} tries to factor \\spad{p} over fractions of integers,{} returning \"failed\" if it cannot")) (|ffactor| (((|Factored| |#3|) |#3|) "\\spad{ffactor(p)} tries to factor a univariate polynomial \\spad{p} over \\spad{F}"))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-53))))) 
-(-438) 
+((|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-53))))) 
+(-439) 
 ((|constructor| (NIL "Code to manipulate Fortran templates")) (|fortranCarriageReturn| (((|Void|)) "\\spad{fortranCarriageReturn()} produces a carriage return on the current Fortran output stream")) (|fortranLiteral| (((|Void|) (|String|)) "\\spad{fortranLiteral(s)} writes \\spad{s} to the current Fortran output stream")) (|fortranLiteralLine| (((|Void|) (|String|)) "\\spad{fortranLiteralLine(s)} writes \\spad{s} to the current Fortran output stream,{} followed by a carriage return")) (|processTemplate| (((|FileName|) (|FileName|)) "\\spad{processTemplate(tp)} processes the template \\spad{tp},{} writing the result to the current FORTRAN output stream.") (((|FileName|) (|FileName|) (|FileName|)) "\\spad{processTemplate(tp,{}fn)} processes the template \\spad{tp},{} writing the result out to \\spad{fn}."))) 
 NIL 
 NIL 
-(-439) 
+(-440) 
 ((|constructor| (NIL "Creates and manipulates objects which correspond to FORTRAN data types,{} including array dimensions.")) (|fortranCharacter| (($) "\\spad{fortranCharacter()} returns CHARACTER,{} an element of FortranType")) (|fortranDoubleComplex| (($) "\\spad{fortranDoubleComplex()} returns DOUBLE COMPLEX,{} an element of FortranType")) (|fortranComplex| (($) "\\spad{fortranComplex()} returns COMPLEX,{} an element of FortranType")) (|fortranLogical| (($) "\\spad{fortranLogical()} returns LOGICAL,{} an element of FortranType")) (|fortranInteger| (($) "\\spad{fortranInteger()} returns INTEGER,{} an element of FortranType")) (|fortranDouble| (($) "\\spad{fortranDouble()} returns DOUBLE PRECISION,{} an element of FortranType")) (|fortranReal| (($) "\\spad{fortranReal()} returns REAL,{} an element of FortranType")) (|construct| (($ (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|List| (|Polynomial| (|Integer|))) (|Boolean|)) "\\spad{construct(type,{}dims)} creates an element of FortranType") (($ (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|List| (|Symbol|)) (|Boolean|)) "\\spad{construct(type,{}dims)} creates an element of FortranType")) (|external?| (((|Boolean|) $) "\\spad{external?(u)} returns \\spad{true} if \\spad{u} is declared to be EXTERNAL")) (|dimensionsOf| (((|List| (|Polynomial| (|Integer|))) $) "\\spad{dimensionsOf(t)} returns the dimensions of \\spad{t}")) (|scalarTypeOf| (((|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) $) "\\spad{scalarTypeOf(t)} returns the FORTRAN data type of \\spad{t}")) (|coerce| (($ (|FortranScalarType|)) "\\spad{coerce(t)} creates an element from a scalar type") (((|OutputForm|) $) "\\spad{coerce(x)} provides a printable form for \\spad{x}"))) 
 NIL 
 NIL 
-(-440 |f|) 
+(-441 |f|) 
 ((|constructor| (NIL "This domain implements named functions")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) 
 NIL 
 NIL 
-(-441) 
+(-442) 
 ((|constructor| (NIL "\\axiomType{FortranVectorCategory} provides support for producing Functions and Subroutines when the input to these is an AXIOM object of type \\axiomType{Vector} or in domains involving \\axiomType{FortranCode}.")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|Vector| (|MachineFloat|))) "\\spad{coerce(v)} produces an ASP which returns the value of \\spad{v}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-442) 
+(-443) 
 ((|constructor| (NIL "\\axiomType{FortranVectorFunctionCategory} is the catagory of arguments to NAG Library routines which return the values of vectors of functions.")) (|retractIfCan| (((|Union| $ "failed") (|Vector| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Fraction| (|Polynomial| (|Float|))))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Expression| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Expression| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Vector| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Fraction| (|Polynomial| (|Float|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Expression| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Expression| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}"))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-443 UP) 
+(-444 UP) 
 ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,{}sqf,{}pd,{}r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,{}sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees,{}r,{}sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees,{}r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,{}p,{}r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,{}p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}d,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}listOfDegrees,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,{}listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,{}d,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,{}listOfDegrees,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,{}listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by completeHensel. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by ddFact for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by ddFact for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object."))) 
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-(-444 R UP -1478) 
+(-445 R UP -1564) 
 ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizationUtilities} provides functions that will be used by the factorizer.")) (|length| ((|#3| |#2|) "\\spad{length(p)} returns the sum of the absolute values of the coefficients of the polynomial \\spad{p}.")) (|height| ((|#3| |#2|) "\\spad{height(p)} returns the maximal absolute value of the coefficients of the polynomial \\spad{p}.")) (|infinityNorm| ((|#3| |#2|) "\\spad{infinityNorm(f)} returns the maximal absolute value of the coefficients of the polynomial \\spad{f}.")) (|quadraticNorm| ((|#3| |#2|) "\\spad{quadraticNorm(f)} returns the \\spad{l2} norm of the polynomial \\spad{f}.")) (|norm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{norm(f,{}p)} returns the \\spad{lp} norm of the polynomial \\spad{f}.")) (|singleFactorBound| (((|Integer|) |#2|) "\\spad{singleFactorBound(p,{}r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{p} shall be of degree higher or equal to 2.") (((|Integer|) |#2| (|NonNegativeInteger|)) "\\spad{singleFactorBound(p,{}r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{r} is a lower bound for the number of factors of \\spad{p}. \\spad{p} shall be of degree higher or equal to 2.")) (|rootBound| (((|Integer|) |#2|) "\\spad{rootBound(p)} returns a bound on the largest norm of the complex roots of \\spad{p}.")) (|bombieriNorm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{bombieriNorm(p,{}n)} returns the \\spad{n}th Bombieri\\spad{'s} norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri\\spad{'s} norm of \\spad{p}.")) (|beauzamyBound| (((|Integer|) |#2|) "\\spad{beauzamyBound(p)} returns a bound on the larger coefficient of any factor of \\spad{p}."))) 
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-(-445 R UP) 
+(-446 R UP) 
 ((|constructor| (NIL "\\spadtype{GaloisGroupPolynomialUtilities} provides useful functions for univariate polynomials which should be added to \\spadtype{UnivariatePolynomialCategory} or to \\spadtype{Factored}")) (|factorsOfDegree| (((|List| |#2|) (|PositiveInteger|) (|Factored| |#2|)) "\\spad{factorsOfDegree(d,{}f)} returns the factors of degree \\spad{d} of the factored polynomial \\spad{f}.")) (|factorOfDegree| ((|#2| (|PositiveInteger|) (|Factored| |#2|)) "\\spad{factorOfDegree(d,{}f)} returns a factor of degree \\spad{d} of the factored polynomial \\spad{f}. Such a factor shall exist.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|Factored| |#2|)) "\\spad{degreePartition(f)} returns the degree partition (\\spadignore{i.e.} the multiset of the degrees of the irreducible factors) of the polynomial \\spad{f}.")) (|shiftRoots| ((|#2| |#2| |#1|) "\\spad{shiftRoots(p,{}c)} returns the polynomial which has for roots \\spad{c} added to the roots of \\spad{p}.")) (|scaleRoots| ((|#2| |#2| |#1|) "\\spad{scaleRoots(p,{}c)} returns the polynomial which has \\spad{c} times the roots of \\spad{p}.")) (|reverse| ((|#2| |#2|) "\\spad{reverse(p)} returns the reverse polynomial of \\spad{p}.")) (|unvectorise| ((|#2| (|Vector| |#1|)) "\\spad{unvectorise(v)} returns the polynomial which has for coefficients the entries of \\spad{v} in the increasing order.")) (|monic?| (((|Boolean|) |#2|) "\\spad{monic?(p)} tests if \\spad{p} is monic (\\spadignore{i.e.} leading coefficient equal to 1)."))) 
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-(-446 R) 
+(-447 R) 
 ((|constructor| (NIL "\\spadtype{GaloisGroupUtilities} provides several useful functions.")) (|safetyMargin| (((|NonNegativeInteger|)) "\\spad{safetyMargin()} returns the number of low weight digits we do not trust in the floating point representation (used by \\spadfun{safeCeiling}).") (((|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{safetyMargin(n)} sets to \\spad{n} the number of low weight digits we do not trust in the floating point representation and returns the previous value (for use by \\spadfun{safeCeiling}).")) (|safeFloor| (((|Integer|) |#1|) "\\spad{safeFloor(x)} returns the integer which is lower or equal to the largest integer which has the same floating point number representation.")) (|safeCeiling| (((|Integer|) |#1|) "\\spad{safeCeiling(x)} returns the integer which is greater than any integer with the same floating point number representation.")) (|fillPascalTriangle| (((|Void|)) "\\spad{fillPascalTriangle()} fills the stored table.")) (|sizePascalTriangle| (((|NonNegativeInteger|)) "\\spad{sizePascalTriangle()} returns the number of entries currently stored in the table.")) (|rangePascalTriangle| (((|NonNegativeInteger|)) "\\spad{rangePascalTriangle()} returns the maximal number of lines stored.") (((|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rangePascalTriangle(n)} sets the maximal number of lines which are stored and returns the previous value.")) (|pascalTriangle| ((|#1| (|NonNegativeInteger|) (|Integer|)) "\\spad{pascalTriangle(n,{}r)} returns the binomial coefficient \\spad{C(n,{}r)=n!/(r! (n-r)!)} and stores it in a table to prevent recomputation."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-406)))) 
-(-447) 
+((|HasCategory| |#1| (QUOTE (-407)))) 
+(-448) 
 ((|constructor| (NIL "Package for the factorization of complex or gaussian integers.")) (|prime?| (((|Boolean|) (|Complex| (|Integer|))) "\\spad{prime?(\\spad{zi})} tests if the complex integer \\spad{zi} is prime.")) (|sumSquares| (((|List| (|Integer|)) (|Integer|)) "\\spad{sumSquares(p)} construct \\spad{a} and \\spad{b} such that \\spad{a**2+b**2} is equal to the integer prime \\spad{p},{} and otherwise returns an error. It will succeed if the prime number \\spad{p} is 2 or congruent to 1 mod 4.")) (|factor| (((|Factored| (|Complex| (|Integer|))) (|Complex| (|Integer|))) "\\spad{factor(\\spad{zi})} produces the complete factorization of the complex integer \\spad{zi}."))) 
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-(-448 |Dom| |Expon| |VarSet| |Dpol|) 
+(-449 |Dom| |Expon| |VarSet| |Dpol|) 
 ((|constructor| (NIL "\\spadtype{EuclideanGroebnerBasisPackage} computes groebner bases for polynomial ideals over euclidean domains. The basic computation provides a distinguished set of generators for these ideals. This basis allows an easy test for membership: the operation \\spadfun{euclideanNormalForm} returns zero on ideal members. The string \"info\" and \"redcrit\" can be given as additional args to provide incremental information during the computation. If \"info\" is given,{} a computational summary is given for each \\spad{s}-polynomial. If \"redcrit\" is given,{} the reduced critical pairs are printed. The term ordering is determined by the polynomial type used. Suggested types include \\spadtype{DistributedMultivariatePolynomial},{} \\spadtype{HomogeneousDistributedMultivariatePolynomial},{} \\spadtype{GeneralDistributedMultivariatePolynomial}.")) (|euclideanGroebner| (((|List| |#4|) (|List| |#4|) (|String|) (|String|)) "\\indented{1}{euclideanGroebner(\\spad{lp},{} \"info\",{} \"redcrit\") computes a groebner basis} \\indented{1}{for a polynomial ideal generated by the list of polynomials \\spad{lp}.} \\indented{1}{If the second argument is \"info\",{}} \\indented{1}{a summary is given of the critical pairs.} \\indented{1}{If the third argument is \"redcrit\",{} critical pairs are printed.} \\blankline \\spad{X} a1:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (9*x**2 + 5*x - 3)+ \\spad{y*}(3*x**2 + 2*x + 1) \\spad{X} a2:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (6*x**3 - 2*x**2 - 3*x \\spad{+3}) + \\spad{y*}(2*x**3 - \\spad{x} - 1) \\spad{X} a3:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (3*x**3 + 2*x**2) + \\spad{y*}(\\spad{x**3} + \\spad{x**2}) \\spad{X} an:=[\\spad{a1},{}\\spad{a2},{}\\spad{a3}] \\spad{X} euclideanGroebner(an,{}\"info\",{}\"redcrit\")") (((|List| |#4|) (|List| |#4|) (|String|)) "\\indented{1}{euclideanGroebner(\\spad{lp},{} infoflag) computes a groebner basis} \\indented{1}{for a polynomial ideal over a euclidean domain} \\indented{1}{generated by the list of polynomials \\spad{lp}.} \\indented{1}{During computation,{} additional information is printed out} \\indented{1}{if infoflag is given as} \\indented{1}{either \"info\" (for summary information) or} \\indented{1}{\"redcrit\" (for reduced critical pairs)} \\blankline \\spad{X} a1:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (9*x**2 + 5*x - 3)+ \\spad{y*}(3*x**2 + 2*x + 1) \\spad{X} a2:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (6*x**3 - 2*x**2 - 3*x \\spad{+3}) + \\spad{y*}(2*x**3 - \\spad{x} - 1) \\spad{X} a3:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (3*x**3 + 2*x**2) + \\spad{y*}(\\spad{x**3} + \\spad{x**2}) \\spad{X} an:=[\\spad{a1},{}\\spad{a2},{}\\spad{a3}] \\spad{X} euclideanGroebner(an,{}\"redcrit\") \\spad{X} euclideanGroebner(an,{}\"info\")") (((|List| |#4|) (|List| |#4|)) "\\indented{1}{euclideanGroebner(\\spad{lp}) computes a groebner basis for a polynomial} \\indented{1}{ideal over a euclidean domain generated by the list of polys \\spad{lp}.} \\blankline \\spad{X} a1:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (9*x**2 + 5*x - 3)+ \\spad{y*}(3*x**2 + 2*x + 1) \\spad{X} a2:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (6*x**3 - 2*x**2 - 3*x \\spad{+3}) + \\spad{y*}(2*x**3 - \\spad{x} - 1) \\spad{X} a3:DMP([\\spad{y},{}\\spad{x}],{}INT)\\spad{:=} (3*x**3 + 2*x**2) + \\spad{y*}(\\spad{x**3} + \\spad{x**2}) \\spad{X} an:=[\\spad{a1},{}\\spad{a2},{}\\spad{a3}] \\spad{X} euclideanGroebner(an)")) (|euclideanNormalForm| ((|#4| |#4| (|List| |#4|)) "\\spad{euclideanNormalForm(poly,{}gb)} reduces the polynomial \\spad{poly} modulo the precomputed groebner basis \\spad{gb} giving a canonical representative of the residue class."))) 
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-(-449 |Dom| |Expon| |VarSet| |Dpol|) 
+(-450 |Dom| |Expon| |VarSet| |Dpol|) 
 ((|constructor| (NIL "\\spadtype{GroebnerFactorizationPackage} provides the function groebnerFactor\" which uses the factorization routines of \\Language{} to factor each polynomial under consideration while doing the groebner basis algorithm. Then it writes the ideal as an intersection of ideals determined by the irreducible factors. Note that the whole ring may occur as well as other redundancies. We also use the fact,{} that from the second factor on we can assume that the preceding factors are not equal to 0 and we divide all polynomials under considerations by the elements of this list of \"nonZeroRestrictions\". The result is a list of groebner bases,{} whose union of solutions of the corresponding systems of equations is the solution of the system of equation corresponding to the input list. The term ordering is determined by the polynomial type used. Suggested types include \\spadtype{DistributedMultivariatePolynomial},{} \\spadtype{HomogeneousDistributedMultivariatePolynomial},{} \\spadtype{GeneralDistributedMultivariatePolynomial}.")) (|groebnerFactorize| (((|List| (|List| |#4|)) (|List| |#4|) (|Boolean|)) "\\spad{groebnerFactorize(listOfPolys,{} info)} returns a list of groebner bases. The union of their solutions is the solution of the system of equations given by \\spad{listOfPolys}. At each stage the polynomial \\spad{p} under consideration (either from the given basis or obtained from a reduction of the next \\spad{S}-polynomial) is factorized. For each irreducible factors of \\spad{p},{} a new createGroebnerBasis is started doing the usual updates with the factor in place of \\spad{p}. If info is \\spad{true},{} information is printed about partial results.") (((|List| (|List| |#4|)) (|List| |#4|)) "\\indented{1}{groebnerFactorize(listOfPolys) returns} \\indented{1}{a list of groebner bases. The union of their solutions} \\indented{1}{is the solution of the system of equations given by listOfPolys.} \\indented{1}{At each stage the polynomial \\spad{p} under consideration (either from} \\indented{1}{the given basis or obtained from a reduction of the next \\spad{S}-polynomial)} \\indented{1}{is factorized. For each irreducible factors of \\spad{p},{} a} \\indented{1}{new createGroebnerBasis is started} \\indented{1}{doing the usual updates with the factor} \\indented{1}{in place of \\spad{p}.} \\blankline \\spad{X} mfzn : SQMATRIX(6,{}\\spad{DMP}([\\spad{x},{}\\spad{y},{}\\spad{z}],{}Fraction INT)) \\spad{:=} \\spad{++X} [ [0,{}1,{}1,{}1,{}1,{}1],{} [1,{}0,{}1,{}8/3,{}\\spad{x},{}8/3],{} [1,{}1,{}0,{}1,{}8/3,{}\\spad{y}],{} \\spad{++X} [1,{}8/3,{}1,{}0,{}1,{}8/3],{} [1,{}\\spad{x},{}8/3,{}1,{}0,{}1],{} [1,{}8/3,{}\\spad{y},{}8/3,{}1,{}0] ] \\spad{X} eq \\spad{:=} determinant mfzn \\spad{X} groebnerFactorize \\spad{++X} [eq,{}eval(eq,{} [\\spad{x},{}\\spad{y},{}\\spad{z}],{}[\\spad{y},{}\\spad{z},{}\\spad{x}]),{} eval(eq,{}[\\spad{x},{}\\spad{y},{}\\spad{z}],{}[\\spad{z},{}\\spad{x},{}\\spad{y}])]") (((|List| (|List| |#4|)) (|List| |#4|) (|List| |#4|) (|Boolean|)) "\\spad{groebnerFactorize(listOfPolys,{} nonZeroRestrictions,{} info)} returns a list of groebner basis. The union of their solutions is the solution of the system of equations given by \\spad{listOfPolys} under the restriction that the polynomials of \\spad{nonZeroRestrictions} don\\spad{'t} vanish. At each stage the polynomial \\spad{p} under consideration (either from the given basis or obtained from a reduction of the next \\spad{S}-polynomial) is factorized. For each irreducible factors of \\spad{p} a new createGroebnerBasis is started doing the usual updates with the factor in place of \\spad{p}. If argument info is \\spad{true},{} information is printed about partial results.") (((|List| (|List| |#4|)) (|List| |#4|) (|List| |#4|)) "\\spad{groebnerFactorize(listOfPolys,{} nonZeroRestrictions)} returns a list of groebner basis. The union of their solutions is the solution of the system of equations given by \\spad{listOfPolys} under the restriction that the polynomials of nonZeroRestrictions don\\spad{'t} vanish. At each stage the polynomial \\spad{p} under consideration (either from the given basis or obtained from a reduction of the next \\spad{S}-polynomial) is factorized. For each irreducible factors of \\spad{p},{} a new createGroebnerBasis is started doing the usual updates with the factor in place of \\spad{p}.")) (|factorGroebnerBasis| (((|List| (|List| |#4|)) (|List| |#4|) (|Boolean|)) "\\spad{factorGroebnerBasis(basis,{}info)} checks whether the \\spad{basis} contains reducible polynomials and uses these to split the \\spad{basis}. If argument \\spad{info} is \\spad{true},{} information is printed about partial results.") (((|List| (|List| |#4|)) (|List| |#4|)) "\\spad{factorGroebnerBasis(basis)} checks whether the \\spad{basis} contains reducible polynomials and uses these to split the \\spad{basis}."))) 
 NIL 
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-(-450 |Dom| |Expon| |VarSet| |Dpol|) 
+(-451 |Dom| |Expon| |VarSet| |Dpol|) 
 ((|constructor| (NIL "This package provides low level tools for Groebner basis computations")) (|virtualDegree| (((|NonNegativeInteger|) |#4|) "\\spad{virtualDegree }\\undocumented")) (|makeCrit| (((|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)) (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| |#4|)) |#4| (|NonNegativeInteger|)) "\\spad{makeCrit }\\undocumented")) (|critpOrder| (((|Boolean|) (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)) (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) "\\spad{critpOrder }\\undocumented")) (|prinb| (((|Void|) (|Integer|)) "\\spad{prinb }\\undocumented")) (|prinpolINFO| (((|Void|) (|List| |#4|)) "\\spad{prinpolINFO }\\undocumented")) (|fprindINFO| (((|Integer|) (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)) |#4| |#4| (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{fprindINFO }\\undocumented")) (|prindINFO| (((|Integer|) (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)) |#4| |#4| (|Integer|) (|Integer|) (|Integer|)) "\\spad{prindINFO }\\undocumented")) (|prinshINFO| (((|Void|) |#4|) "\\spad{prinshINFO }\\undocumented")) (|lepol| (((|Integer|) |#4|) "\\spad{lepol }\\undocumented")) (|minGbasis| (((|List| |#4|) (|List| |#4|)) "\\spad{minGbasis }\\undocumented")) (|updatD| (((|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) (|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) (|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)))) "\\spad{updatD }\\undocumented")) (|sPol| ((|#4| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) "\\spad{sPol }\\undocumented")) (|updatF| (((|List| (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| |#4|))) |#4| (|NonNegativeInteger|) (|List| (|Record| (|:| |totdeg| (|NonNegativeInteger|)) (|:| |pol| |#4|)))) "\\spad{updatF }\\undocumented")) (|hMonic| ((|#4| |#4|) "\\spad{hMonic }\\undocumented")) (|redPo| (((|Record| (|:| |poly| |#4|) (|:| |mult| |#1|)) |#4| (|List| |#4|)) "\\spad{redPo }\\undocumented")) (|critMonD1| (((|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) |#2| (|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)))) "\\spad{critMonD1 }\\undocumented")) (|critMTonD1| (((|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) (|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)))) "\\spad{critMTonD1 }\\undocumented")) (|critBonD| (((|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) |#4| (|List| (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|)))) "\\spad{critBonD }\\undocumented")) (|critB| (((|Boolean|) |#2| |#2| |#2| |#2|) "\\spad{critB }\\undocumented")) (|critM| (((|Boolean|) |#2| |#2|) "\\spad{critM }\\undocumented")) (|critT| (((|Boolean|) (|Record| (|:| |lcmfij| |#2|) (|:| |totdeg| (|NonNegativeInteger|)) (|:| |poli| |#4|) (|:| |polj| |#4|))) "\\spad{critT }\\undocumented")) (|gbasis| (((|List| |#4|) (|List| |#4|) (|Integer|) (|Integer|)) "\\spad{gbasis }\\undocumented")) (|redPol| ((|#4| |#4| (|List| |#4|)) "\\spad{redPol }\\undocumented")) (|credPol| ((|#4| |#4| (|List| |#4|)) "\\spad{credPol }\\undocumented"))) 
 NIL 
 NIL 
-(-451 |Dom| |Expon| |VarSet| |Dpol|) 
+(-452 |Dom| |Expon| |VarSet| |Dpol|) 
 ((|constructor| (NIL "\\spadtype{GroebnerPackage} computes groebner bases for polynomial ideals. The basic computation provides a distinguished set of generators for polynomial ideals over fields. This basis allows an easy test for membership: the operation \\spadfun{normalForm} returns zero on ideal members. When the provided coefficient domain,{} Dom,{} is not a field,{} the result is equivalent to considering the extended ideal with \\spadtype{Fraction(Dom)} as coefficients,{} but considerably more efficient since all calculations are performed in Dom. Additional argument \"info\" and \"redcrit\" can be given to provide incremental information during computation. Argument \"info\" produces a computational summary for each \\spad{s}-polynomial. Argument \"redcrit\" prints out the reduced critical pairs. The term ordering is determined by the polynomial type used. Suggested types include \\spadtype{DistributedMultivariatePolynomial},{} \\spadtype{HomogeneousDistributedMultivariatePolynomial},{} \\spadtype{GeneralDistributedMultivariatePolynomial}.")) (|normalForm| ((|#4| |#4| (|List| |#4|)) "\\spad{normalForm(poly,{}gb)} reduces the polynomial \\spad{poly} modulo the precomputed groebner basis \\spad{gb} giving a canonical representative of the residue class.")) (|groebner| (((|List| |#4|) (|List| |#4|) (|String|) (|String|)) "\\indented{1}{groebner(\\spad{lp},{} \"info\",{} \"redcrit\") computes a groebner basis} \\indented{1}{for a polynomial ideal generated by the list of polynomials \\spad{lp},{}} \\indented{1}{displaying both a summary of the critical pairs considered (\"info\")} \\indented{1}{and the result of reducing each critical pair (\"redcrit\").} \\indented{1}{If the second or third arguments have any other string value,{}} \\indented{1}{the indicated information is suppressed.} \\blankline \\spad{X} s1:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 45*p + 35*s - 165*b - 36 \\spad{X} s2:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 35*p + 40*z + 25*t - 27*s \\spad{X} s3:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 15*w + 25*p*s + 30*z - 18*t - 165*b**2 \\spad{X} s4:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} -9*w + 15*p*t + 20*z*s \\spad{X} s5:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} \\spad{w*p} + 2*z*t - 11*b**3 \\spad{X} s6:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 99*w - 11*b*s + 3*b**2 \\spad{X} s7:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} \\spad{b**2} + 33/50*b + 2673/10000 \\spad{X} sn7:=[\\spad{s1},{}\\spad{s2},{}\\spad{s3},{}\\spad{s4},{}\\spad{s5},{}\\spad{s6},{}\\spad{s7}] \\spad{X} groebner(\\spad{sn7},{}\"info\",{}\"redcrit\")") (((|List| |#4|) (|List| |#4|) (|String|)) "\\indented{1}{groebner(\\spad{lp},{} infoflag) computes a groebner basis} \\indented{1}{for a polynomial ideal} \\indented{1}{generated by the list of polynomials \\spad{lp}.} \\indented{1}{Argument infoflag is used to get information on the computation.} \\indented{1}{If infoflag is \"info\",{} then summary information} \\indented{1}{is displayed for each \\spad{s}-polynomial generated.} \\indented{1}{If infoflag is \"redcrit\",{} the reduced critical pairs are displayed.} \\indented{1}{If infoflag is any other string,{}} \\indented{1}{no information is printed during computation.} \\blankline \\spad{X} s1:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 45*p + 35*s - 165*b - 36 \\spad{X} s2:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 35*p + 40*z + 25*t - 27*s \\spad{X} s3:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 15*w + 25*p*s + 30*z - 18*t - 165*b**2 \\spad{X} s4:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} -9*w + 15*p*t + 20*z*s \\spad{X} s5:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} \\spad{w*p} + 2*z*t - 11*b**3 \\spad{X} s6:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 99*w - 11*b*s + 3*b**2 \\spad{X} s7:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} \\spad{b**2} + 33/50*b + 2673/10000 \\spad{X} sn7:=[\\spad{s1},{}\\spad{s2},{}\\spad{s3},{}\\spad{s4},{}\\spad{s5},{}\\spad{s6},{}\\spad{s7}] \\spad{X} groebner(\\spad{sn7},{}\"info\") \\spad{X} groebner(\\spad{sn7},{}\"redcrit\")") (((|List| |#4|) (|List| |#4|)) "\\indented{1}{groebner(\\spad{lp}) computes a groebner basis for a polynomial ideal} \\indented{1}{generated by the list of polynomials \\spad{lp}.} \\blankline \\spad{X} s1:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 45*p + 35*s - 165*b - 36 \\spad{X} s2:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 35*p + 40*z + 25*t - 27*s \\spad{X} s3:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 15*w + 25*p*s + 30*z - 18*t - 165*b**2 \\spad{X} s4:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} -9*w + 15*p*t + 20*z*s \\spad{X} s5:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} \\spad{w*p} + 2*z*t - 11*b**3 \\spad{X} s6:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} 99*w - 11*b*s + 3*b**2 \\spad{X} s7:DMP([\\spad{w},{}\\spad{p},{}\\spad{z},{}\\spad{t},{}\\spad{s},{}\\spad{b}],{}FRAC(INT))\\spad{:=} \\spad{b**2} + 33/50*b + 2673/10000 \\spad{X} sn7:=[\\spad{s1},{}\\spad{s2},{}\\spad{s3},{}\\spad{s4},{}\\spad{s5},{}\\spad{s6},{}\\spad{s7}] \\spad{X} groebner(\\spad{sn7})"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365)))) 
-(-452 S) 
+((|HasCategory| |#1| (QUOTE (-366)))) 
+(-453 S) 
 ((|constructor| (NIL "This category describes domains where \\spadfun{\\spad{gcd}} can be computed but where there is no guarantee of the existence of \\spadfun{factor} operation for factorisation into irreducibles. However,{} if such a \\spadfun{factor} operation exist,{} factorization will be unique up to order and units.")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $)) "\\spad{gcdPolynomial(p,{}q)} returns the greatest common divisor (\\spad{gcd}) of univariate polynomials over the domain")) (|lcm| (($ (|List| $)) "\\spad{lcm(l)} returns the least common multiple of the elements of the list \\spad{l}.") (($ $ $) "\\spad{lcm(x,{}y)} returns the least common multiple of \\spad{x} and \\spad{y}.")) (|gcd| (($ (|List| $)) "\\spad{gcd(l)} returns the common \\spad{gcd} of the elements in the list \\spad{l}.") (($ $ $) "\\spad{gcd(x,{}y)} returns the greatest common divisor of \\spad{x} and \\spad{y}."))) 
 NIL 
 NIL 
-(-453) 
+(-454) 
 ((|constructor| (NIL "This category describes domains where \\spadfun{\\spad{gcd}} can be computed but where there is no guarantee of the existence of \\spadfun{factor} operation for factorisation into irreducibles. However,{} if such a \\spadfun{factor} operation exist,{} factorization will be unique up to order and units.")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $)) "\\spad{gcdPolynomial(p,{}q)} returns the greatest common divisor (\\spad{gcd}) of univariate polynomials over the domain")) (|lcm| (($ (|List| $)) "\\spad{lcm(l)} returns the least common multiple of the elements of the list \\spad{l}.") (($ $ $) "\\spad{lcm(x,{}y)} returns the least common multiple of \\spad{x} and \\spad{y}.")) (|gcd| (($ (|List| $)) "\\spad{gcd(l)} returns the common \\spad{gcd} of the elements in the list \\spad{l}.") (($ $ $) "\\spad{gcd(x,{}y)} returns the greatest common divisor of \\spad{x} and \\spad{y}."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-454 R |n| |ls| |gamma|) 
+(-455 R |n| |ls| |gamma|) 
 ((|constructor| (NIL "AlgebraGenericElementPackage allows you to create generic elements of an algebra,{} \\spadignore{i.e.} the scalars are extended to include symbolic coefficients")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#1|))) "\\spad{conditionsForIdempotents()} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the fixed \\spad{R}-module basis") (((|List| (|Polynomial| |#1|)) (|Vector| $)) "\\spad{conditionsForIdempotents([v1,{}...,{}vn])} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}")) (|genericRightDiscriminant| (((|Fraction| (|Polynomial| |#1|))) "\\spad{genericRightDiscriminant()} is the determinant of the generic left trace forms of all products of basis element,{} if the generic left trace form is associative,{} an algebra is separable if the generic left discriminant is invertible,{} if it is non-zero,{} there is some ring extension which makes the algebra separable")) (|genericRightTraceForm| (((|Fraction| (|Polynomial| |#1|)) $ $) "\\spad{genericRightTraceForm (a,{}b)} is defined to be \\spadfun{genericRightTrace (a*b)},{} this defines a symmetric bilinear form on the algebra")) (|genericLeftDiscriminant| (((|Fraction| (|Polynomial| |#1|))) "\\spad{genericLeftDiscriminant()} is the determinant of the generic left trace forms of all products of basis element,{} if the generic left trace form is associative,{} an algebra is separable if the generic left discriminant is invertible,{} if it is non-zero,{} there is some ring extension which makes the algebra separable")) (|genericLeftTraceForm| (((|Fraction| (|Polynomial| |#1|)) $ $) "\\spad{genericLeftTraceForm (a,{}b)} is defined to be \\spad{genericLeftTrace (a*b)},{} this defines a symmetric bilinear form on the algebra")) (|genericRightNorm| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericRightNorm(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the constant term in \\spadfun{rightRankPolynomial} and changes the sign if the degree of this polynomial is odd")) (|genericRightTrace| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericRightTrace(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the second highest term in \\spadfun{rightRankPolynomial} and changes the sign")) (|genericRightMinimalPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|))) $) "\\spad{genericRightMinimalPolynomial(a)} substitutes the coefficients of \\spad{a} for the generic coefficients in \\spadfun{rightRankPolynomial}")) (|rightRankPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|)))) "\\spad{rightRankPolynomial()} returns the right minimimal polynomial of the generic element")) (|genericLeftNorm| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericLeftNorm(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the constant term in \\spadfun{leftRankPolynomial} and changes the sign if the degree of this polynomial is odd. This is a form of degree \\spad{k}")) (|genericLeftTrace| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericLeftTrace(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the second highest term in \\spadfun{leftRankPolynomial} and changes the sign. \\indented{1}{This is a linear form}")) (|genericLeftMinimalPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|))) $) "\\spad{genericLeftMinimalPolynomial(a)} substitutes the coefficients of {em a} for the generic coefficients in \\spad{leftRankPolynomial()}")) (|leftRankPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|)))) "\\spad{leftRankPolynomial()} returns the left minimimal polynomial of the generic element")) (|generic| (($ (|Vector| (|Symbol|)) (|Vector| $)) "\\spad{generic(vs,{}ve)} returns a generic element,{} \\spadignore{i.e.} the linear combination of \\spad{ve} with the symbolic coefficients \\spad{vs} error,{} if the vector of symbols is shorter than the vector of elements") (($ (|Symbol|) (|Vector| $)) "\\spad{generic(s,{}v)} returns a generic element,{} \\spadignore{i.e.} the linear combination of \\spad{v} with the symbolic coefficients \\spad{s1,{}s2,{}..}") (($ (|Vector| $)) "\\spad{generic(ve)} returns a generic element,{} \\spadignore{i.e.} the linear combination of \\spad{ve} basis with the symbolic coefficients \\spad{\\%x1,{}\\%x2,{}..}") (($ (|Vector| (|Symbol|))) "\\spad{generic(vs)} returns a generic element,{} \\spadignore{i.e.} the linear combination of the fixed basis with the symbolic coefficients \\spad{vs}; error,{} if the vector of symbols is too short") (($ (|Symbol|)) "\\spad{generic(s)} returns a generic element,{} \\spadignore{i.e.} the linear combination of the fixed basis with the symbolic coefficients \\spad{s1,{}s2,{}..}") (($) "\\spad{generic()} returns a generic element,{} \\spadignore{i.e.} the linear combination of the fixed basis with the symbolic coefficients \\spad{\\%x1,{}\\%x2,{}..}")) (|rightUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{rightUnits()} returns the affine space of all right units of the algebra,{} or \\spad{\"failed\"} if there is none")) (|leftUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{leftUnits()} returns the affine space of all left units of the algebra,{} or \\spad{\"failed\"} if there is none")) (|coerce| (($ (|Vector| (|Fraction| (|Polynomial| |#1|)))) "\\spad{coerce(v)} assumes that it is called with a vector of length equal to the dimension of the algebra,{} then a linear combination with the basis element is formed"))) 
-((-4518 |has| (-409 (-953 |#1|)) (-558)) (-4516 . T) (-4515 . T)) 
-((|HasCategory| (-409 (-953 |#1|)) (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| (-409 (-953 |#1|)) (QUOTE (-558)))) 
-(-455 |vl| R E) 
+((-4532 |has| (-410 (-954 |#1|)) (-559)) (-4530 . T) (-4529 . T)) 
+((|HasCategory| (-410 (-954 |#1|)) (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| (-410 (-954 |#1|)) (QUOTE (-559)))) 
+(-456 |vl| R E) 
 ((|constructor| (NIL "This type supports distributed multivariate polynomials whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
-(((-4523 "*") |has| |#2| (-172)) (-4514 |has| |#2| (-558)) (-4519 |has| |#2| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-904))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172))) (-2199 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-558)))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-365))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#2| (QUOTE -4519)) (|HasCategory| |#2| (QUOTE (-453))) (-2199 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (|HasCategory| |#2| (QUOTE (-148))))) 
-(-456) 
+(((-4537 "*") |has| |#2| (-173)) (-4528 |has| |#2| (-559)) (-4533 |has| |#2| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173))) (-2232 (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-559)))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-366))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#2| (QUOTE -4533)) (|HasCategory| |#2| (QUOTE (-454))) (-2232 (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-149))))) 
+(-457) 
 ((|constructor| (NIL "This package provides support for gnuplot. These routines generate output files contain gnuplot scripts that may be processed directly by gnuplot. This is especially convenient in the axiom-wiki environment where gnuplot is called from LaTeX via gnuplottex.")) (|gnuDraw| (((|Void|) (|Expression| (|Float|)) (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|)) (|String|)) "\\indented{1}{\\spad{gnuDraw} provides 3d surface plotting,{} default options} \\blankline \\spad{X} gnuDraw(sin(\\spad{x})*cos(\\spad{y}),{}\\spad{x=}-6..4,{}\\spad{y=}-4..6,{}\"out3d.dat\") \\spad{X} )\\spad{sys} gnuplot -persist out3d.dat") (((|Void|) (|Expression| (|Float|)) (|SegmentBinding| (|Float|)) (|SegmentBinding| (|Float|)) (|String|) (|List| (|DrawOption|))) "\\indented{1}{\\spad{gnuDraw} provides 3d surface plotting with options} \\blankline \\spad{X} gnuDraw(sin(\\spad{x})*cos(\\spad{y}),{}\\spad{x=}-6..4,{}\\spad{y=}-4..6,{}\"out3d.dat\",{}title==\"out3d\") \\spad{X} )\\spad{sys} gnuplot -persist out3d.dat") (((|Void|) (|Expression| (|Float|)) (|SegmentBinding| (|Float|)) (|String|)) "\\indented{1}{\\spad{gnuDraw} provides 2d plotting,{} default options} \\blankline \\spad{X} gnuDraw(\\spad{D}(cos(exp(\\spad{z}))/exp(\\spad{z^2}),{}\\spad{z}),{}\\spad{z=}-5..5,{}\"out2d.dat\") \\spad{X} )\\spad{sys} gnuplot -persist out2d.dat") (((|Void|) (|Expression| (|Float|)) (|SegmentBinding| (|Float|)) (|String|) (|List| (|DrawOption|))) "\\indented{1}{\\spad{gnuDraw} provides 2d plotting with options} \\blankline \\spad{X} gnuDraw(\\spad{D}(cos(exp(\\spad{z}))/exp(\\spad{z^2}),{}\\spad{z}),{}\\spad{z=}-5..5,{}\"out2d.dat\",{}title==\"out2d\") \\spad{X} )\\spad{sys} gnuplot -persist out2d.dat"))) 
 NIL 
 NIL 
-(-457 R BP) 
+(-458 R BP) 
 ((|constructor| (NIL "The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,{}lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,{}table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,{}prime,{}lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,{}lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,{}prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note that this function is exported only because it\\spad{'s} conditional."))) 
 NIL 
 NIL 
-(-458 OV E S R P) 
+(-459 OV E S R P) 
 ((|constructor| (NIL "This is the top level package for doing multivariate factorization over basic domains like \\spadtype{Integer} or \\spadtype{Fraction Integer}.")) (|factor| (((|Factored| |#5|) |#5|) "\\spad{factor(p)} factors the multivariate polynomial \\spad{p} over its coefficient domain")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
 NIL 
-(-459 E OV R P) 
+(-460 E OV R P) 
 ((|constructor| (NIL "This package provides operations for \\spad{GCD} computations on polynomials")) (|randomR| ((|#3|) "\\spad{randomR()} should be local but conditional")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{gcdPolynomial(p,{}q)} returns the \\spad{GCD} of \\spad{p} and \\spad{q}"))) 
 NIL 
 NIL 
-(-460 R) 
+(-461 R) 
 ((|constructor| (NIL "This package provides operations for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" the finite \"berlekamp's\" factorization")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{factor(p)} returns the factorisation of \\spad{p}"))) 
 NIL 
 NIL 
-(-461 R FE) 
+(-462 R FE) 
 ((|constructor| (NIL "\\spadtype{GenerateUnivariatePowerSeries} provides functions that create power series from explicit formulas for their \\spad{n}th coefficient.")) (|series| (((|Any|) |#2| (|Symbol|) (|Equation| |#2|) (|UniversalSegment| (|Fraction| (|Integer|))) (|Fraction| (|Integer|))) "\\spad{series(a(n),{}n,{}x = a,{}r0..,{}r)} returns \\spad{sum(n = r0,{}r0 + r,{}r0 + 2*r...,{} a(n) * (x - a)**n)}; \\spad{series(a(n),{}n,{}x = a,{}r0..r1,{}r)} returns \\spad{sum(n = r0 + k*r while n <= r1,{} a(n) * (x - a)**n)}.") (((|Any|) (|Mapping| |#2| (|Fraction| (|Integer|))) (|Equation| |#2|) (|UniversalSegment| (|Fraction| (|Integer|))) (|Fraction| (|Integer|))) "\\spad{series(n +-> a(n),{}x = a,{}r0..,{}r)} returns \\spad{sum(n = r0,{}r0 + r,{}r0 + 2*r...,{} a(n) * (x - a)**n)}; \\spad{series(n +-> a(n),{}x = a,{}r0..r1,{}r)} returns \\spad{sum(n = r0 + k*r while n <= r1,{} a(n) * (x - a)**n)}.") (((|Any|) |#2| (|Symbol|) (|Equation| |#2|) (|UniversalSegment| (|Integer|))) "\\spad{series(a(n),{}n,{}x=a,{}n0..)} returns \\spad{sum(n = n0..,{}a(n) * (x - a)**n)}; \\spad{series(a(n),{}n,{}x=a,{}n0..n1)} returns \\spad{sum(n = n0..n1,{}a(n) * (x - a)**n)}.") (((|Any|) (|Mapping| |#2| (|Integer|)) (|Equation| |#2|) (|UniversalSegment| (|Integer|))) "\\spad{series(n +-> a(n),{}x = a,{}n0..)} returns \\spad{sum(n = n0..,{}a(n) * (x - a)**n)}; \\spad{series(n +-> a(n),{}x = a,{}n0..n1)} returns \\spad{sum(n = n0..n1,{}a(n) * (x - a)**n)}.") (((|Any|) |#2| (|Symbol|) (|Equation| |#2|)) "\\spad{series(a(n),{}n,{}x = a)} returns \\spad{sum(n = 0..,{}a(n)*(x-a)**n)}.") (((|Any|) (|Mapping| |#2| (|Integer|)) (|Equation| |#2|)) "\\spad{series(n +-> a(n),{}x = a)} returns \\spad{sum(n = 0..,{}a(n)*(x-a)**n)}.")) (|puiseux| (((|Any|) |#2| (|Symbol|) (|Equation| |#2|) (|UniversalSegment| (|Fraction| (|Integer|))) (|Fraction| (|Integer|))) "\\spad{puiseux(a(n),{}n,{}x = a,{}r0..,{}r)} returns \\spad{sum(n = r0,{}r0 + r,{}r0 + 2*r...,{} a(n) * (x - a)**n)}; \\spad{puiseux(a(n),{}n,{}x = a,{}r0..r1,{}r)} returns \\spad{sum(n = r0 + k*r while n <= r1,{} a(n) * (x - a)**n)}.") (((|Any|) (|Mapping| |#2| (|Fraction| (|Integer|))) (|Equation| |#2|) (|UniversalSegment| (|Fraction| (|Integer|))) (|Fraction| (|Integer|))) "\\spad{puiseux(n +-> a(n),{}x = a,{}r0..,{}r)} returns \\spad{sum(n = r0,{}r0 + r,{}r0 + 2*r...,{} a(n) * (x - a)**n)}; \\spad{puiseux(n +-> a(n),{}x = a,{}r0..r1,{}r)} returns \\spad{sum(n = r0 + k*r while n <= r1,{} a(n) * (x - a)**n)}.")) (|laurent| (((|Any|) |#2| (|Symbol|) (|Equation| |#2|) (|UniversalSegment| (|Integer|))) "\\spad{laurent(a(n),{}n,{}x=a,{}n0..)} returns \\spad{sum(n = n0..,{}a(n) * (x - a)**n)}; \\spad{laurent(a(n),{}n,{}x=a,{}n0..n1)} returns \\spad{sum(n = n0..n1,{}a(n) * (x - a)**n)}.") (((|Any|) (|Mapping| |#2| (|Integer|)) (|Equation| |#2|) (|UniversalSegment| (|Integer|))) "\\spad{laurent(n +-> a(n),{}x = a,{}n0..)} returns \\spad{sum(n = n0..,{}a(n) * (x - a)**n)}; \\spad{laurent(n +-> a(n),{}x = a,{}n0..n1)} returns \\spad{sum(n = n0..n1,{}a(n) * (x - a)**n)}.")) (|taylor| (((|Any|) |#2| (|Symbol|) (|Equation| |#2|) (|UniversalSegment| (|NonNegativeInteger|))) "\\spad{taylor(a(n),{}n,{}x = a,{}n0..)} returns \\spad{sum(n = n0..,{}a(n)*(x-a)**n)}; \\spad{taylor(a(n),{}n,{}x = a,{}n0..n1)} returns \\spad{sum(n = n0..,{}a(n)*(x-a)**n)}.") (((|Any|) (|Mapping| |#2| (|Integer|)) (|Equation| |#2|) (|UniversalSegment| (|NonNegativeInteger|))) "\\spad{taylor(n +-> a(n),{}x = a,{}n0..)} returns \\spad{sum(n=n0..,{}a(n)*(x-a)**n)}; \\spad{taylor(n +-> a(n),{}x = a,{}n0..n1)} returns \\spad{sum(n = n0..,{}a(n)*(x-a)**n)}.") (((|Any|) |#2| (|Symbol|) (|Equation| |#2|)) "\\spad{taylor(a(n),{}n,{}x = a)} returns \\spad{sum(n = 0..,{}a(n)*(x-a)**n)}.") (((|Any|) (|Mapping| |#2| (|Integer|)) (|Equation| |#2|)) "\\spad{taylor(n +-> a(n),{}x = a)} returns \\spad{sum(n = 0..,{}a(n)*(x-a)**n)}."))) 
 NIL 
 NIL 
-(-462 RP TP) 
+(-463 RP TP) 
 ((|constructor| (NIL "General Hensel Lifting Used for Factorization of bivariate polynomials over a finite field.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(u,{}pol)} computes the symmetric reduction of \\spad{u} mod \\spad{pol}")) (|completeHensel| (((|List| |#2|) |#2| (|List| |#2|) |#1| (|PositiveInteger|)) "\\spad{completeHensel(pol,{}lfact,{}prime,{}bound)} lifts \\spad{lfact},{} the factorization mod \\spad{prime} of \\spad{pol},{} to the factorization mod prime**k>bound. Factors are recombined on the way.")) (|HenselLift| (((|Record| (|:| |plist| (|List| |#2|)) (|:| |modulo| |#1|)) |#2| (|List| |#2|) |#1| (|PositiveInteger|)) "\\spad{HenselLift(pol,{}lfacts,{}prime,{}bound)} lifts \\spad{lfacts},{} that are the factors of \\spad{pol} mod \\spad{prime},{} to factors of \\spad{pol} mod prime**k > \\spad{bound}. No recombining is done ."))) 
 NIL 
 NIL 
-(-463 |vl| R IS E |ff| P) 
+(-464 |vl| R IS E |ff| P) 
 ((|constructor| (NIL "This package is undocumented")) (* (($ |#6| $) "\\spad{p*x} is not documented")) (|multMonom| (($ |#2| |#4| $) "\\spad{multMonom(r,{}e,{}x)} is not documented")) (|build| (($ |#2| |#3| |#4|) "\\spad{build(r,{}i,{}e)} is not documented")) (|unitVector| (($ |#3|) "\\spad{unitVector(x)} is not documented")) (|monomial| (($ |#2| (|ModuleMonomial| |#3| |#4| |#5|)) "\\spad{monomial(r,{}x)} is not documented")) (|reductum| (($ $) "\\spad{reductum(x)} is not documented")) (|leadingIndex| ((|#3| $) "\\spad{leadingIndex(x)} is not documented")) (|leadingExponent| ((|#4| $) "\\spad{leadingExponent(x)} is not documented")) (|leadingMonomial| (((|ModuleMonomial| |#3| |#4| |#5|) $) "\\spad{leadingMonomial(x)} is not documented")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(x)} is not documented"))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-464) 
-((|constructor| (NIL "\\spad{GuessOptionFunctions0} provides operations that extract the values of options for \\spadtype{Guess}.")) (|debug| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{debug returns} whether we want additional output on the progress,{} default being \\spad{false}")) (|displayAsGF| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{displayAsGF specifies} whether the result is a generating function or a recurrence. This option should not be set by the user,{} but rather by the \\spad{HP}-specification,{} therefore,{} there is no default.")) (|indexName| (((|Symbol|) (|List| (|GuessOption|))) "\\spad{indexName returns} the name of the index variable used for the formulas,{} default being \\spad{n}")) (|variableName| (((|Symbol|) (|List| (|GuessOption|))) "\\spad{variableName returns} the name of the variable used in by the algebraic differential equation,{} default being \\spad{x}")) (|functionName| (((|Symbol|) (|List| (|GuessOption|))) "\\spad{functionName returns} the name of the function given by the algebraic differential equation,{} default being \\spad{f}")) (|homogeneous| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{homogeneous returns} whether we allow only homogeneous algebraic differential equations,{} default being \\spad{false}")) (|one| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{one returns} whether we need only one solution,{} default being \\spad{true}.")) (|safety| (((|NonNegativeInteger|) (|List| (|GuessOption|))) "\\spad{safety returns} the specified safety or 1 as default.")) (|allDegrees| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{allDegrees returns} whether all possibilities of the degree vector should be tried,{} the default being \\spad{false}.")) (|maxDegree| (((|Integer|) (|List| (|GuessOption|))) "\\spad{maxDegree returns} the specified maxDegree or \\spad{-1} as default.")) (|maxShift| (((|Integer|) (|List| (|GuessOption|))) "\\spad{maxShift returns} the specified maxShift or \\spad{-1} as default.")) (|maxDerivative| (((|Integer|) (|List| (|GuessOption|))) "\\spad{maxDerivative returns} the specified maxDerivative or \\spad{-1} as default.")) (|maxPower| (((|Integer|) (|List| (|GuessOption|))) "\\spad{maxPower returns} the specified maxPower or \\spad{-1} as default.")) (|maxLevel| (((|Integer|) (|List| (|GuessOption|))) "\\spad{maxLevel returns} the specified maxLevel or \\spad{-1} as default."))) 
+(-465) 
+((|constructor| (NIL "\\spad{GuessOptionFunctions0} provides operations that extract the values of options for Guess.")) (|checkOptions| (((|Void|) (|List| (|GuessOption|))) "\\spad{checkOptions checks} whether the given options are consistent,{} and yields an error otherwise")) (|debug| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{debug returns} whether we want additional output on the progress,{} default being \\spad{false}")) (|displayAsGF| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{displayAsGF specifies} whether the result is a generating function or a recurrence. This option should not be set by the user,{} but rather by the \\spad{HP}-specification,{} therefore,{} there is no default.")) (|indexName| (((|Symbol|) (|List| (|GuessOption|))) "\\spad{indexName returns} the name of the index variable used for the formulas,{} default being \\spad{n}")) (|variableName| (((|Symbol|) (|List| (|GuessOption|))) "\\spad{variableName returns} the name of the variable used in by the algebraic differential equation,{} default being \\spad{x}")) (|functionName| (((|Symbol|) (|List| (|GuessOption|))) "\\spad{functionName returns} the name of the function given by the algebraic differential equation,{} default being \\spad{f}")) (|one| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{one returns} whether we need only one solution,{} default being \\spad{true}.")) (|checkExtraValues| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{checkExtraValues(d)} specifies whether we want to check the solution beyond the order given by the degree bounds. The default is \\spad{true}.")) (|check| (((|Union| "skip" "MonteCarlo" "deterministic") (|List| (|GuessOption|))) "\\spad{check(d)} specifies how we want to check the solution. If the value is \"skip\",{} we return the solutions found by the interpolation routine without checking. If the value is \"MonteCarlo\",{} we use a probabilistic check. The default is \"deterministic\".")) (|safety| (((|NonNegativeInteger|) (|List| (|GuessOption|))) "\\spad{safety returns} the specified safety or 1 as default.")) (|allDegrees| (((|Boolean|) (|List| (|GuessOption|))) "\\spad{allDegrees returns} whether all possibilities of the degree vector should be tried,{} the default being \\spad{false}.")) (|maxMixedDegree| (((|NonNegativeInteger|) (|List| (|GuessOption|))) "\\spad{maxMixedDegree returns} the specified maxMixedDegree.")) (|maxDegree| (((|Union| (|NonNegativeInteger|) "arbitrary") (|List| (|GuessOption|))) "\\spad{maxDegree returns} the specified maxDegree.")) (|maxLevel| (((|Union| (|NonNegativeInteger|) "arbitrary") (|List| (|GuessOption|))) "\\spad{maxLevel returns} the specified maxLevel.")) (|Somos| (((|Union| (|PositiveInteger|) (|Boolean|)) (|List| (|GuessOption|))) "\\spad{Somos returns} whether we allow only Somos-like operators,{} default being \\spad{false}")) (|homogeneous| (((|Union| (|PositiveInteger|) (|Boolean|)) (|List| (|GuessOption|))) "\\spad{homogeneous returns} whether we allow only homogeneous algebraic differential equations,{} default being \\spad{false}")) (|maxPower| (((|Union| (|PositiveInteger|) "arbitrary") (|List| (|GuessOption|))) "\\spad{maxPower returns} the specified maxPower.")) (|maxSubst| (((|Union| (|PositiveInteger|) "arbitrary") (|List| (|GuessOption|))) "\\spad{maxSubst returns} the specified maxSubst.")) (|maxShift| (((|Union| (|NonNegativeInteger|) "arbitrary") (|List| (|GuessOption|))) "\\spad{maxShift returns} the specified maxShift.")) (|maxDerivative| (((|Union| (|NonNegativeInteger|) "arbitrary") (|List| (|GuessOption|))) "\\spad{maxDerivative returns} the specified maxDerivative."))) 
 NIL 
 NIL 
-(-465) 
-((|constructor| (NIL "GuessOption is a domain whose elements are various options used by \\spadtype{Guess}.")) (|checkOptions| (((|Void|) (|List| $)) "\\spad{checkOptions checks} whether an option is given twice")) (|option?| (((|Boolean|) (|List| $) (|Symbol|)) "\\spad{option?()} is not to be used at the top level; option? internally returns \\spad{true} for drawing options which are indicated in a draw command,{} or \\spad{false} for those which are not.")) (|option| (((|Union| (|Any|) "failed") (|List| $) (|Symbol|)) "\\spad{option()} is not to be used at the top level; option determines internally which drawing options are indicated in a draw command.")) (|displayAsGF| (($ (|Boolean|)) "\\spad{displayAsGF(d)} specifies whether the result is a generating function or a recurrence. This option should not be set by the user,{} but rather by the \\spad{HP}-specification.")) (|indexName| (($ (|Symbol|)) "\\spad{indexName(d)} specifies the index variable used for the formulas. This option is expressed in the form \\spad{indexName == d}.")) (|variableName| (($ (|Symbol|)) "\\spad{variableName(d)} specifies the variable used in by the algebraic differential equation. This option is expressed in the form \\spad{variableName == d}.")) (|functionName| (($ (|Symbol|)) "\\spad{functionName(d)} specifies the name of the function given by the algebraic differential equation or recurrence. This option is expressed in the form \\spad{functionName == d}.")) (|debug| (($ (|Boolean|)) "\\spad{debug(d)} specifies whether we want additional output on the progress. This option is expressed in the form \\spad{debug == d}.")) (|one| (($ (|Boolean|)) "\\spad{one(d)} specifies whether we are happy with one solution. This option is expressed in the form \\spad{one == d}.")) (|safety| (($ (|NonNegativeInteger|)) "\\spad{safety(d)} specifies the number of values reserved for testing any solutions found. This option is expressed in the form \\spad{safety == d}.")) (|allDegrees| (($ (|Boolean|)) "\\spad{allDegrees(d)} specifies whether all possibilities of the degree vector - taking into account maxDegree - should be tried. This is mainly interesting for rational interpolation. This option is expressed in the form \\spad{allDegrees == d}.")) (|maxDegree| (($ (|Integer|)) "\\spad{maxDegree(d)} specifies the maximum degree of the coefficient polynomials in an algebraic differential equation or a recursion with polynomial coefficients. For rational functions with an exponential term,{} \\spad{maxDegree} bounds the degree of the denominator polynomial. maxDegree(\\spad{-1}) specifies that the maximum degree can be arbitrary. This option is expressed in the form \\spad{maxDegree == d}.")) (|maxLevel| (($ (|Integer|)) "\\spad{maxLevel(d)} specifies the maximum number of recursion levels operators guessProduct and guessSum will be applied. maxLevel(\\spad{-1}) specifies that all levels are tried. This option is expressed in the form \\spad{maxLevel == d}.")) (|homogeneous| (($ (|Boolean|)) "\\spad{homogeneous(d)} specifies whether we allow only homogeneous algebraic differential equations. This option is expressed in the form \\spad{homogeneous == d}.")) (|maxPower| (($ (|Integer|)) "\\spad{maxPower(d)} specifies the maximum degree in an algebraic differential equation. For example,{} the degree of (\\spad{f}\\spad{''})\\spad{^3} \\spad{f'} is 4. maxPower(\\spad{-1}) specifies that the maximum exponent can be arbitrary. This option is expressed in the form \\spad{maxPower == d}.")) (|maxShift| (($ (|Integer|)) "\\spad{maxShift(d)} specifies the maximum shift in a recurrence equation. maxShift(\\spad{-1}) specifies that the maximum shift can be arbitrary. This option is expressed in the form \\spad{maxShift == d}.")) (|maxDerivative| (($ (|Integer|)) "\\spad{maxDerivative(d)} specifies the maximum derivative in an algebraic differential equation. maxDerivative(\\spad{-1}) specifies that the maximum derivative can be arbitrary. This option is expressed in the form \\spad{maxDerivative == d}."))) 
+(-466) 
+((|constructor| (NIL "GuessOption is a domain whose elements are various options used by \\spadtype{Guess}.")) (|option| (((|Union| (|Any|) "failed") (|List| $) (|Symbol|)) "\\spad{option(l,{} option)} returns which options are given.")) (|displayAsGF| (($ (|Boolean|)) "\\spad{displayAsGF(d)} specifies whether the result is a generating function or a recurrence. This option should not be set by the user,{} but rather by the \\spad{HP}-specification.")) (|indexName| (($ (|Symbol|)) "\\spad{indexName(d)} specifies the index variable used for the formulas. This option is expressed in the form \\spad{indexName == d}.")) (|variableName| (($ (|Symbol|)) "\\spad{variableName(d)} specifies the variable used in by the algebraic differential equation. This option is expressed in the form \\spad{variableName == d}.")) (|functionName| (($ (|Symbol|)) "\\spad{functionName(d)} specifies the name of the function given by the algebraic differential equation or recurrence. This option is expressed in the form \\spad{functionName == d}.")) (|debug| (($ (|Boolean|)) "\\spad{debug(d)} specifies whether we want additional output on the progress. This option is expressed in the form \\spad{debug == d}.")) (|one| (($ (|Boolean|)) "\\spad{one(d)} specifies whether we are happy with one solution. This option is expressed in the form \\spad{one == d}.")) (|checkExtraValues| (($ (|Boolean|)) "\\spad{checkExtraValues(d)} specifies whether we want to check the solution beyond the order given by the degree bounds. This option is expressed in the form \\spad{checkExtraValues == d}")) (|check| (($ (|Union| "skip" "MonteCarlo" "deterministic")) "\\spad{check(d)} specifies how we want to check the solution. If the value is \"skip\",{} we return the solutions found by the interpolation routine without checking. If the value is \"MonteCarlo\",{} we use a probabilistic check. This option is expressed in the form \\spad{check == d}")) (|safety| (($ (|NonNegativeInteger|)) "\\spad{safety(d)} specifies the number of values reserved for testing any solutions found. This option is expressed in the form \\spad{safety == d}.")) (|allDegrees| (($ (|Boolean|)) "\\spad{allDegrees(d)} specifies whether all possibilities of the degree vector - taking into account maxDegree - should be tried. This is mainly interesting for rational interpolation. This option is expressed in the form \\spad{allDegrees == d}.")) (|maxMixedDegree| (($ (|NonNegativeInteger|)) "\\spad{maxMixedDegree(d)} specifies the maximum \\spad{q}-degree of the coefficient polynomials in a recurrence with polynomial coefficients,{} in the case of mixed shifts. Although slightly inconsistent,{} maxMixedDegree(0) specifies that no mixed shifts are allowed. This option is expressed in the form \\spad{maxMixedDegree == d}.")) (|maxDegree| (($ (|Union| (|NonNegativeInteger|) "arbitrary")) "\\spad{maxDegree(d)} specifies the maximum degree of the coefficient polynomials in an algebraic differential equation or a recursion with polynomial coefficients. For rational functions with an exponential term,{} \\spad{maxDegree} bounds the degree of the denominator polynomial. This option is expressed in the form \\spad{maxDegree == d}.")) (|maxLevel| (($ (|Union| (|NonNegativeInteger|) "arbitrary")) "\\spad{maxLevel(d)} specifies the maximum number of recursion levels operators guessProduct and guessSum will be applied. This option is expressed in the form spad{maxLevel \\spad{==} \\spad{d}}.")) (|Somos| (($ (|Union| (|PositiveInteger|) (|Boolean|))) "\\spad{Somos(d)} specifies whether we want that the total degree of the differential operators is constant,{} and equal to \\spad{d},{} or maxDerivative if \\spad{true}. If \\spad{true},{} maxDerivative must be set,{} too.")) (|homogeneous| (($ (|Union| (|PositiveInteger|) (|Boolean|))) "\\spad{homogeneous(d)} specifies whether we allow only homogeneous algebraic differential equations. This option is expressed in the form \\spad{homogeneous == d}. If \\spad{true},{} then maxPower must be set,{} too,{} and ADEs with constant total degree are allowed. If a PositiveInteger is given,{} only ADE\\spad{'s} with this total degree are allowed.")) (|maxPower| (($ (|Union| (|PositiveInteger|) "arbitrary")) "\\spad{maxPower(d)} specifies the maximum degree in an algebraic differential equation. For example,{} the degree of (\\spad{f}\\spad{''})\\spad{^3} \\spad{f'} is 4. maxPower(\\spad{-1}) specifies that the maximum exponent can be arbitrary. This option is expressed in the form \\spad{maxPower == d}.")) (|maxSubst| (($ (|Union| (|PositiveInteger|) "arbitrary")) "\\spad{maxSubst(d)} specifies the maximum degree of the monomial substituted into the function we are looking for. That is,{} if \\spad{maxSubst == d},{} we look for polynomials such that \\$\\spad{p}(\\spad{f}(\\spad{x}),{} \\spad{f}(\\spad{x^2}),{} ...,{} \\spad{f}(\\spad{x^d}))\\spad{=0}\\$. equation. This option is expressed in the form \\spad{maxSubst == d}.")) (|maxShift| (($ (|Union| (|NonNegativeInteger|) "arbitrary")) "\\spad{maxShift(d)} specifies the maximum shift in a recurrence equation. This option is expressed in the form \\spad{maxShift == d}.")) (|maxDerivative| (($ (|Union| (|NonNegativeInteger|) "arbitrary")) "\\spad{maxDerivative(d)} specifies the maximum derivative in an algebraic differential equation. This option is expressed in the form \\spad{maxDerivative == d}."))) 
 NIL 
 NIL 
-(-466 E V R P Q) 
+(-467 E V R P Q) 
 ((|constructor| (NIL "Gosper\\spad{'s} summation algorithm.")) (|GospersMethod| (((|Union| |#5| "failed") |#5| |#2| (|Mapping| |#2|)) "\\spad{GospersMethod(b,{} n,{} new)} returns a rational function \\spad{rf(n)} such that \\spad{a(n) * rf(n)} is the indefinite sum of \\spad{a(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{a(n+1) * rf(n+1) - a(n) * rf(n) = a(n)},{} where \\spad{b(n) = a(n)/a(n-1)} is a rational function. Returns \"failed\" if no such rational function \\spad{rf(n)} exists. Note that \\spad{new} is a nullary function returning a new \\spad{V} every time. The condition on \\spad{a(n)} is that \\spad{a(n)/a(n-1)} is a rational function of \\spad{n}."))) 
 NIL 
 NIL 
-(-467 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR |InfClsPoint| |DesTree| BLMET) 
+(-468 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR |InfClsPoint| |DesTree| BLMET) 
 ((|constructor| (NIL "A package that implements the Brill-Noether algorithm. Part of the PAFF package.")) (|ZetaFunction| (((|UnivariateTaylorSeriesCZero| (|Integer|) |t|) (|PositiveInteger|)) "Returns the Zeta function of the curve in constant field extension. Calculated by using the \\spad{L}-Polynomial") (((|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) "Returns the Zeta function of the curve. Calculated by using the \\spad{L}-Polynomial")) (|numberPlacesDegExtDeg| (((|Integer|) (|PositiveInteger|) (|PositiveInteger|)) "numberRatPlacesExtDegExtDeg(\\spad{d},{} \\spad{n}) returns the number of places of degree \\spad{d} in the constant field extension of degree \\spad{n}")) (|numberRatPlacesExtDeg| (((|Integer|) (|PositiveInteger|)) "\\spad{numberRatPlacesExtDeg(n)} returns the number of rational places in the constant field extenstion of degree \\spad{n}")) (|numberOfPlacesOfDegree| (((|Integer|) (|PositiveInteger|)) "returns the number of places of the given degree")) (|placesOfDegree| (((|List| |#7|) (|PositiveInteger|)) "\\spad{placesOfDegree(d)} returns all places of degree \\spad{d} of the curve.")) (|classNumber| (((|Integer|)) "Returns the class number of the curve.")) (|LPolynomial| (((|SparseUnivariatePolynomial| (|Integer|)) (|PositiveInteger|)) "\\spad{LPolynomial(d)} returns the \\spad{L}-Polynomial of the curve in constant field extension of degree \\spad{d}.") (((|SparseUnivariatePolynomial| (|Integer|))) "Returns the \\spad{L}-Polynomial of the curve.")) (|rationalPlaces| (((|List| |#7|)) "\\spad{rationalPlaces returns} all the rational places of the curve defined by the polynomial given to the package.")) (|pointDominateBy| ((|#5| |#7|) "\\spad{pointDominateBy(pl)} returns the projective point dominated by the place \\spad{pl}.")) (|adjunctionDivisor| ((|#8|) "\\spad{adjunctionDivisor computes} the adjunction divisor of the plane curve given by the polynomial \\spad{crv}.")) (|intersectionDivisor| ((|#8| |#3|) "\\spad{intersectionDivisor(pol)} compute the intersection divisor (the Cartier divisor) of the form \\spad{pol} with the curve. If some intersection points lie in an extension of the ground field,{} an error message is issued specifying the extension degree needed to find all the intersection points. (If \\spad{pol} is not homogeneous an error message is issued).")) (|evalIfCan| (((|Union| |#1| "failed") (|Fraction| |#3|) |#7|) "\\spad{evalIfCan(u,{}pl)} evaluate the function \\spad{u} at the place \\spad{pl} (returns \"failed\" if it is a pole).") (((|Union| |#1| "failed") |#3| |#3| |#7|) "\\spad{evalIfCan(f,{}g,{}pl)} evaluate the function \\spad{f/g} at the place \\spad{pl} (returns \"failed\" if it is a pole).") (((|Union| |#1| "failed") |#3| |#7|) "\\spad{evalIfCan(f,{}pl)} evaluate \\spad{f} at the place \\spad{pl} (returns \"failed\" if it is a pole).")) (|eval| ((|#1| (|Fraction| |#3|) |#7|) "\\spad{eval(u,{}pl)} evaluate the function \\spad{u} at the place \\spad{pl}.") ((|#1| |#3| |#3| |#7|) "\\spad{eval(f,{}g,{}pl)} evaluate the function \\spad{f/g} at the place \\spad{pl}.") ((|#1| |#3| |#7|) "\\spad{eval(f,{}pl)} evaluate \\spad{f} at the place \\spad{pl}.")) (|interpolateForms| (((|List| |#3|) |#8| (|NonNegativeInteger|)) "\\spad{interpolateForms(d,{}n)} returns a basis of the interpolate forms of degree \\spad{n} of the divisor \\spad{d}.")) (|lBasis| (((|Record| (|:| |num| (|List| |#3|)) (|:| |den| |#3|)) |#8|) "\\spad{lBasis computes} a basis associated to the specified divisor")) (|parametrize| ((|#6| |#3| |#7|) "\\spad{parametrize(f,{}pl)} returns a local parametrization of \\spad{f} at the place \\spad{pl}.")) (|singularPoints| (((|List| |#5|)) "rationalPoints() returns the singular points of the curve defined by the polynomial given to the package. If the singular points lie in an extension of the specified ground field an error message is issued specifying the extension degree needed to find all singular points.")) (|setSingularPoints| (((|List| |#5|) (|List| |#5|)) "\\spad{setSingularPoints(lpt)} sets the singular points to be used. Beware: no attempt is made to check if the points are singular or not,{} nor if all of the singular points are presents. Hence,{} results of some computation maybe \\spad{false}. It is intend to be use when one want to compute the singular points are computed by other means than to use the function singularPoints.")) (|desingTreeWoFullParam| (((|List| |#10|)) "\\spad{desingTreeWoFullParam returns} the desingularisation trees at all singular points of the curve defined by the polynomial given to the package. The local parametrizations are not computed.")) (|desingTree| (((|List| |#10|)) "\\spad{desingTree returns} the desingularisation trees at all singular points of the curve defined by the polynomial given to the package.")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus returns} the genus of the curve defined by the polynomial given to the package.")) (|theCurve| ((|#3|) "\\spad{theCurve returns} the specified polynomial for the package.")) (|printInfo| (((|Void|) (|List| (|Boolean|))) "\\spad{printInfo(lbool)} prints some information comming from various package and domain used by this package."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-370)))) 
-(-468 R E |VarSet| P) 
+((|HasCategory| |#1| (QUOTE (-371)))) 
+(-469 R E |VarSet| P) 
 ((|constructor| (NIL "A domain for polynomial sets.")) (|convert| (($ (|List| |#4|)) "\\axiom{convert(\\spad{lp})} returns the polynomial set whose members are the polynomials of \\axiom{\\spad{lp}}."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#4| (QUOTE (-1090))) (-12 (|HasCategory| |#4| (LIST (QUOTE -303) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558)))) 
-(-469 S R E) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#4| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#4| (QUOTE (-1091))) (-12 (|HasCategory| |#4| (LIST (QUOTE -304) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559)))) 
+(-470 S R E) 
 ((|constructor| (NIL "GradedAlgebra(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-algebra\\spad{''}. A graded algebra is a graded module together with a degree preserving \\spad{R}-linear map,{} called the product. \\blankline The name ``product\\spad{''} is written out in full so inner and outer products with the same mapping type can be distinguished by name.")) (|product| (($ $ $) "\\spad{product(a,{}b)} is the degree-preserving \\spad{R}-linear product: \\blankline \\indented{2}{\\spad{degree product(a,{}b) = degree a + degree b}} \\indented{2}{\\spad{product(a1+a2,{}b) = product(a1,{}b) + product(a2,{}b)}} \\indented{2}{\\spad{product(a,{}b1+b2) = product(a,{}b1) + product(a,{}b2)}} \\indented{2}{\\spad{product(r*a,{}b) = product(a,{}r*b) = r*product(a,{}b)}} \\indented{2}{\\spad{product(a,{}product(b,{}c)) = product(product(a,{}b),{}c)}}")) ((|One|) (($) "1 is the identity for \\spad{product}."))) 
 NIL 
 NIL 
-(-470 R E) 
+(-471 R E) 
 ((|constructor| (NIL "GradedAlgebra(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-algebra\\spad{''}. A graded algebra is a graded module together with a degree preserving \\spad{R}-linear map,{} called the product. \\blankline The name ``product\\spad{''} is written out in full so inner and outer products with the same mapping type can be distinguished by name.")) (|product| (($ $ $) "\\spad{product(a,{}b)} is the degree-preserving \\spad{R}-linear product: \\blankline \\indented{2}{\\spad{degree product(a,{}b) = degree a + degree b}} \\indented{2}{\\spad{product(a1+a2,{}b) = product(a1,{}b) + product(a2,{}b)}} \\indented{2}{\\spad{product(a,{}b1+b2) = product(a,{}b1) + product(a,{}b2)}} \\indented{2}{\\spad{product(r*a,{}b) = product(a,{}r*b) = r*product(a,{}b)}} \\indented{2}{\\spad{product(a,{}product(b,{}c)) = product(product(a,{}b),{}c)}}")) ((|One|) (($) "1 is the identity for \\spad{product}."))) 
 NIL 
 NIL 
-(-471) 
+(-472) 
 ((|constructor| (NIL "GrayCode provides a function for efficiently running through all subsets of a finite set,{} only changing one element by another one.")) (|firstSubsetGray| (((|Vector| (|Vector| (|Integer|))) (|PositiveInteger|)) "\\spad{firstSubsetGray(n)} creates the first vector \\spad{ww} to start a loop using nextSubsetGray(\\spad{ww},{}\\spad{n})")) (|nextSubsetGray| (((|Vector| (|Vector| (|Integer|))) (|Vector| (|Vector| (|Integer|))) (|PositiveInteger|)) "\\spad{nextSubsetGray(ww,{}n)} returns a vector \\spad{vv} whose components have the following meanings:\\spad{\\br} \\spad{vv}.1: a vector of length \\spad{n} whose entries are 0 or 1. This can be interpreted as a code for a subset of the set 1,{}...,{}\\spad{n}; \\spad{vv}.1 differs from \\spad{ww}.1 by exactly one entry;\\spad{\\br} \\spad{vv}.2.1 is the number of the entry of \\spad{vv}.1 which will be changed next time;\\spad{\\br} \\spad{vv}.2.1 = \\spad{n+1} means that \\spad{vv}.1 is the last subset; trying to compute nextSubsetGray(\\spad{vv}) if \\spad{vv}.2.1 = \\spad{n+1} will produce an error!\\spad{\\br} \\blankline The other components of \\spad{vv}.2 are needed to compute nextSubsetGray efficiently. Note that this is an implementation of [Williamson,{} Topic II,{} 3.54,{} \\spad{p}. 112] for the special case \\spad{r1} = \\spad{r2} = ... = \\spad{rn} = 2; Note that nextSubsetGray produces a side-effect,{} \\spadignore{i.e.} nextSubsetGray(\\spad{vv}) and \\spad{vv} \\spad{:=} nextSubsetGray(\\spad{vv}) will have the same effect."))) 
 NIL 
 NIL 
-(-472) 
+(-473) 
 ((|constructor| (NIL "TwoDimensionalPlotSettings sets global flags and constants for 2-dimensional plotting.")) (|screenResolution| (((|Integer|) (|Integer|)) "\\spad{screenResolution(n)} sets the screen resolution to \\spad{n}.") (((|Integer|)) "\\spad{screenResolution()} returns the screen resolution \\spad{n}.")) (|minPoints| (((|Integer|) (|Integer|)) "\\spad{minPoints()} sets the minimum number of points in a plot.") (((|Integer|)) "\\spad{minPoints()} returns the minimum number of points in a plot.")) (|maxPoints| (((|Integer|) (|Integer|)) "\\spad{maxPoints()} sets the maximum number of points in a plot.") (((|Integer|)) "\\spad{maxPoints()} returns the maximum number of points in a plot.")) (|adaptive| (((|Boolean|) (|Boolean|)) "\\spad{adaptive(true)} turns adaptive plotting on; \\spad{adaptive(false)} turns adaptive plotting off.") (((|Boolean|)) "\\spad{adaptive()} determines whether plotting will be done adaptively.")) (|drawToScale| (((|Boolean|) (|Boolean|)) "\\spad{drawToScale(true)} causes plots to be drawn to scale. \\spad{drawToScale(false)} causes plots to be drawn so that they fill up the viewport window. The default setting is \\spad{false}.") (((|Boolean|)) "\\spad{drawToScale()} determines whether or not plots are to be drawn to scale.")) (|clipPointsDefault| (((|Boolean|) (|Boolean|)) "\\spad{clipPointsDefault(true)} turns on automatic clipping; \\spad{clipPointsDefault(false)} turns off automatic clipping. The default setting is \\spad{true}.") (((|Boolean|)) "\\spad{clipPointsDefault()} determines whether or not automatic clipping is to be done."))) 
 NIL 
 NIL 
-(-473) 
+(-474) 
 ((|constructor| (NIL "TwoDimensionalGraph creates virtual two dimensional graphs (to be displayed on TwoDimensionalViewports).")) (|putColorInfo| (((|List| (|List| (|Point| (|DoubleFloat|)))) (|List| (|List| (|Point| (|DoubleFloat|)))) (|List| (|Palette|))) "\\spad{putColorInfo(llp,{}lpal)} takes a list of list of points,{} \\spad{llp},{} and returns the points with their hue and shade components set according to the list of palette colors,{} \\spad{lpal}.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(\\spad{gi})} returns the indicated graph,{} \\spad{\\spad{gi}},{} of domain \\spadtype{GraphImage} as output of the domain \\spadtype{OutputForm}.") (($ (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{coerce(llp)} component(\\spad{gi},{}\\spad{pt}) creates and returns a graph of the domain \\spadtype{GraphImage} which is composed of the list of list of points given by \\spad{llp},{} and whose point colors,{} line colors and point sizes are determined by the default functions \\spadfun{pointColorDefault},{} \\spadfun{lineColorDefault},{} and \\spadfun{pointSizeDefault}. The graph data is then sent to the viewport manager where it waits to be included in a two-dimensional viewport window.")) (|point| (((|Void|) $ (|Point| (|DoubleFloat|)) (|Palette|)) "\\spad{point(\\spad{gi},{}pt,{}pal)} modifies the graph \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage} to contain one point component,{} \\spad{pt} whose point color is set to be the palette color \\spad{pal},{} and whose line color and point size are determined by the default functions \\spadfun{lineColorDefault} and \\spadfun{pointSizeDefault}.")) (|appendPoint| (((|Void|) $ (|Point| (|DoubleFloat|))) "\\spad{appendPoint(\\spad{gi},{}pt)} appends the point \\spad{pt} to the end of the list of points component for the graph,{} \\spad{\\spad{gi}},{} which is of the domain \\spadtype{GraphImage}.")) (|component| (((|Void|) $ (|Point| (|DoubleFloat|)) (|Palette|) (|Palette|) (|PositiveInteger|)) "\\spad{component(\\spad{gi},{}pt,{}pal1,{}pal2,{}ps)} modifies the graph \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage} to contain one point component,{} \\spad{pt} whose point color is set to the palette color \\spad{pal1},{} line color is set to the palette color \\spad{pal2},{} and point size is set to the positive integer \\spad{ps}.") (((|Void|) $ (|Point| (|DoubleFloat|))) "\\spad{component(\\spad{gi},{}pt)} modifies the graph \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage} to contain one point component,{} \\spad{pt} whose point color,{} line color and point size are determined by the default functions \\spadfun{pointColorDefault},{} \\spadfun{lineColorDefault},{} and \\spadfun{pointSizeDefault}.") (((|Void|) $ (|List| (|Point| (|DoubleFloat|))) (|Palette|) (|Palette|) (|PositiveInteger|)) "\\spad{component(\\spad{gi},{}lp,{}pal1,{}pal2,{}p)} sets the components of the graph,{} \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage},{} to the values given. The point list for \\spad{\\spad{gi}} is set to the list \\spad{lp},{} the color of the points in \\spad{lp} is set to the palette color \\spad{pal1},{} the color of the lines which connect the points \\spad{lp} is set to the palette color \\spad{pal2},{} and the size of the points in \\spad{lp} is given by the integer \\spad{p}.")) (|units| (((|List| (|Float|)) $ (|List| (|Float|))) "\\spad{units(\\spad{gi},{}lu)} modifies the list of unit increments for the \\spad{x} and \\spad{y} axes of the given graph,{} \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage},{} to be that of the list of unit increments,{} \\spad{lu},{} and returns the new list of units for \\spad{\\spad{gi}}.") (((|List| (|Float|)) $) "\\spad{units(\\spad{gi})} returns the list of unit increments for the \\spad{x} and \\spad{y} axes of the indicated graph,{} \\spad{\\spad{gi}},{} of the domain \\spadtype{GraphImage}.")) (|ranges| (((|List| (|Segment| (|Float|))) $ (|List| (|Segment| (|Float|)))) "\\spad{ranges(\\spad{gi},{}lr)} modifies the list of ranges for the given graph,{} \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage},{} to be that of the list of range segments,{} \\spad{lr},{} and returns the new range list for \\spad{\\spad{gi}}.") (((|List| (|Segment| (|Float|))) $) "\\spad{ranges(\\spad{gi})} returns the list of ranges of the point components from the indicated graph,{} \\spad{\\spad{gi}},{} of the domain \\spadtype{GraphImage}.")) (|key| (((|Integer|) $) "\\spad{key(\\spad{gi})} returns the process ID of the given graph,{} \\spad{\\spad{gi}},{} of the domain \\spadtype{GraphImage}.")) (|pointLists| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{pointLists(\\spad{gi})} returns the list of lists of points which compose the given graph,{} \\spad{\\spad{gi}},{} of the domain \\spadtype{GraphImage}.")) (|makeGraphImage| (($ (|List| (|List| (|Point| (|DoubleFloat|)))) (|List| (|Palette|)) (|List| (|Palette|)) (|List| (|PositiveInteger|)) (|List| (|DrawOption|))) "\\spad{makeGraphImage(llp,{}lpal1,{}lpal2,{}lp,{}lopt)} returns a graph of the domain \\spadtype{GraphImage} which is composed of the points and lines from the list of lists of points,{} \\spad{llp},{} whose point colors are indicated by the list of palette colors,{} \\spad{lpal1},{} and whose lines are colored according to the list of palette colors,{} \\spad{lpal2}. The paramater \\spad{lp} is a list of integers which denote the size of the data points,{} and \\spad{lopt} is the list of draw command options. The graph data is then sent to the viewport manager where it waits to be included in a two-dimensional viewport window.") (($ (|List| (|List| (|Point| (|DoubleFloat|)))) (|List| (|Palette|)) (|List| (|Palette|)) (|List| (|PositiveInteger|))) "\\spad{makeGraphImage(llp,{}lpal1,{}lpal2,{}lp)} returns a graph of the domain \\spadtype{GraphImage} which is composed of the points and lines from the list of lists of points,{} \\spad{llp},{} whose point colors are indicated by the list of palette colors,{} \\spad{lpal1},{} and whose lines are colored according to the list of palette colors,{} \\spad{lpal2}. The paramater \\spad{lp} is a list of integers which denote the size of the data points. The graph data is then sent to the viewport manager where it waits to be included in a two-dimensional viewport window.") (($ (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{makeGraphImage(llp)} returns a graph of the domain \\spadtype{GraphImage} which is composed of the points and lines from the list of lists of points,{} \\spad{llp},{} with default point size and default point and line colours. The graph data is then sent to the viewport manager where it waits to be included in a two-dimensional viewport window.") (($ $) "\\spad{makeGraphImage(\\spad{gi})} takes the given graph,{} \\spad{\\spad{gi}} of the domain \\spadtype{GraphImage},{} and sends it\\spad{'s} data to the viewport manager where it waits to be included in a two-dimensional viewport window. \\spad{\\spad{gi}} cannot be an empty graph,{} and it\\spad{'s} elements must have been created using the \\spadfun{point} or \\spadfun{component} functions,{} not by a previous \\spadfun{makeGraphImage}.")) (|graphImage| (($) "\\spad{graphImage()} returns an empty graph with 0 point lists of the domain \\spadtype{GraphImage}. A graph image contains the graph data component of a two dimensional viewport."))) 
 NIL 
 NIL 
-(-474 S R E) 
+(-475 S R E) 
 ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with degree \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#2|) "\\spad{g*r} is right module multiplication.") (($ |#2| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#3| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module."))) 
 NIL 
 NIL 
-(-475 R E) 
+(-476 R E) 
 ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with degree \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#1|) "\\spad{g*r} is right module multiplication.") (($ |#1| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#2| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module."))) 
 NIL 
 NIL 
-(-476 |lv| -1478 R) 
+(-477 |lv| -1564 R) 
 ((|constructor| (NIL "Solve systems of polynomial equations using Groebner bases Total order Groebner bases are computed and then converted to lex ones This package is mostly intended for internal use.")) (|genericPosition| (((|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |coords| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{genericPosition(lp,{}lv)} puts a radical zero dimensional ideal in general position,{} for system \\spad{lp} in variables \\spad{lv}.")) (|testDim| (((|Union| (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "failed") (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{testDim(lp,{}lv)} tests if the polynomial system \\spad{lp} in variables \\spad{lv} is zero dimensional.")) (|groebSolve| (((|List| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{groebSolve(lp,{}lv)} reduces the polynomial system \\spad{lp} in variables \\spad{lv} to triangular form. Algorithm based on groebner bases algorithm with linear algebra for change of ordering. Preprocessing for the general solver. The polynomials in input are of type \\spadtype{DMP}."))) 
 NIL 
 NIL 
-(-477 S) 
+(-478 S) 
 ((|constructor| (NIL "The class of multiplicative groups,{} \\spadignore{i.e.} monoids with multiplicative inverses. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{leftInverse(\"*\":(\\%,{}\\%)->\\%,{}inv)}\\tab{5}\\spad{ inv(x)*x = 1 }\\spad{\\br} \\tab{5}\\spad{rightInverse(\"*\":(\\%,{}\\%)->\\%,{}inv)}\\tab{4}\\spad{ x*inv(x) = 1 }")) (|commutator| (($ $ $) "\\spad{commutator(p,{}q)} computes \\spad{inv(p) * inv(q) * p * q}.")) (|conjugate| (($ $ $) "\\spad{conjugate(p,{}q)} computes \\spad{inv(q) * p * q}; this is 'right action by conjugation'.")) (|unitsKnown| ((|attribute|) "unitsKnown asserts that recip only returns \"failed\" for non-units.")) (^ (($ $ (|Integer|)) "\\spad{x^n} returns \\spad{x} raised to the integer power \\spad{n}.")) (** (($ $ (|Integer|)) "\\spad{x**n} returns \\spad{x} raised to the integer power \\spad{n}.")) (/ (($ $ $) "\\spad{x/y} is the same as \\spad{x} times the inverse of \\spad{y}.")) (|inv| (($ $) "\\spad{inv(x)} returns the inverse of \\spad{x}."))) 
 NIL 
 NIL 
-(-478) 
+(-479) 
 ((|constructor| (NIL "The class of multiplicative groups,{} \\spadignore{i.e.} monoids with multiplicative inverses. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{leftInverse(\"*\":(\\%,{}\\%)->\\%,{}inv)}\\tab{5}\\spad{ inv(x)*x = 1 }\\spad{\\br} \\tab{5}\\spad{rightInverse(\"*\":(\\%,{}\\%)->\\%,{}inv)}\\tab{4}\\spad{ x*inv(x) = 1 }")) (|commutator| (($ $ $) "\\spad{commutator(p,{}q)} computes \\spad{inv(p) * inv(q) * p * q}.")) (|conjugate| (($ $ $) "\\spad{conjugate(p,{}q)} computes \\spad{inv(q) * p * q}; this is 'right action by conjugation'.")) (|unitsKnown| ((|attribute|) "unitsKnown asserts that recip only returns \"failed\" for non-units.")) (^ (($ $ (|Integer|)) "\\spad{x^n} returns \\spad{x} raised to the integer power \\spad{n}.")) (** (($ $ (|Integer|)) "\\spad{x**n} returns \\spad{x} raised to the integer power \\spad{n}.")) (/ (($ $ $) "\\spad{x/y} is the same as \\spad{x} times the inverse of \\spad{y}.")) (|inv| (($ $) "\\spad{inv(x)} returns the inverse of \\spad{x}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-479 |Coef| |var| |cen|) 
+(-480 |Coef| |var| |cen|) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568))) (|devaluate| |#1|))))) (|HasCategory| (-409 (-568)) (QUOTE (-1102))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161)))))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-959))) (|HasCategory| |#1| (QUOTE (-1181)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -1845) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1161))))) (|HasSignature| |#1| (LIST (QUOTE -2057) (LIST (LIST (QUOTE -634) (QUOTE (-1161))) (|devaluate| |#1|))))))) 
-(-480 |Key| |Entry| |Tbl| |dent|) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569))) (|devaluate| |#1|))))) (|HasCategory| (-410 (-569)) (QUOTE (-1103))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+(-481 |Key| |Entry| |Tbl| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
-((-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090))))) 
-(-481 R E V P) 
+((-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091))))) 
+(-482 R E V P) 
 ((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#4| (QUOTE (-1090))) (-12 (|HasCategory| |#4| (LIST (QUOTE -303) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#3| (QUOTE (-370)))) 
-(-482) 
+((-4536 . T) (-4535 . T)) 
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+(-483) 
 ((|constructor| (NIL "This package exports guessing of sequences of rational functions"))) 
 NIL 
-((|HasCategory| (-53) (LIST (QUOTE -1037) (QUOTE (-1161))))) 
-(-483 -1478) 
+((|HasCategory| (-53) (LIST (QUOTE -1038) (QUOTE (-1163))))) 
+(-484 -1564) 
 ((|constructor| (NIL "This package exports guessing of sequences of numbers in a finite field"))) 
 NIL 
 NIL 
-(-484 -1478) 
+(-485 -1564) 
 ((|constructor| (NIL "This package exports guessing of sequences of numbers in a finite field"))) 
 NIL 
-((|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-1161))))) 
-(-485) 
+((|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-1163))))) 
+(-486) 
 ((|constructor| (NIL "This package exports guessing of sequences of rational numbers"))) 
 NIL 
-((-12 (|HasCategory| (-409 (-568)) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-1161)))))) 
-(-486 -1478 S EXPRR R -2857 -2747) 
+((-12 (|HasCategory| (-410 (-569)) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-1163)))))) 
+(-487 -1564 S EXPRR R -2428 -2185) 
 ((|constructor| (NIL "This package implements guessing of sequences. Packages for the most common cases are provided as \\spadtype{GuessInteger},{} \\spadtype{GuessPolynomial},{} etc.")) (|shiftHP| (((|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| |#1|)) (|UnivariateFormalPowerSeries| |#1|))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| |exprStream| (|Mapping| (|Stream| |#3|) |#3| (|Symbol|))) (|:| A (|Mapping| |#2| (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| |#2|))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| |#1|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| AX (|Mapping| |#3| (|NonNegativeInteger|) (|Symbol|) |#3|)) (|:| C (|Mapping| (|List| |#2|) (|NonNegativeInteger|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{shiftHP options} returns a specification for Hermite-Pade approximation with the \\$\\spad{q}\\$-shift operator") (((|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| |#1|)) (|UnivariateFormalPowerSeries| |#1|))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| |exprStream| (|Mapping| (|Stream| |#3|) |#3| (|Symbol|))) (|:| A (|Mapping| |#2| (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| |#2|))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| |#1|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| AX (|Mapping| |#3| (|NonNegativeInteger|) (|Symbol|) |#3|)) (|:| C (|Mapping| (|List| |#2|) (|NonNegativeInteger|)))) (|List| (|GuessOption|))) "\\spad{shiftHP options} returns a specification for Hermite-Pade approximation with the shift operator")) (|diffHP| (((|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| |#1|)) (|UnivariateFormalPowerSeries| |#1|))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| |exprStream| (|Mapping| (|Stream| |#3|) |#3| (|Symbol|))) (|:| A (|Mapping| |#2| (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| |#2|))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| |#1|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| AX (|Mapping| |#3| (|NonNegativeInteger|) (|Symbol|) |#3|)) (|:| C (|Mapping| (|List| |#2|) (|NonNegativeInteger|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{diffHP options} returns a specification for Hermite-Pade approximation with the \\$\\spad{q}\\$-dilation operator") (((|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| |#1|)) (|UnivariateFormalPowerSeries| |#1|))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| |exprStream| (|Mapping| (|Stream| |#3|) |#3| (|Symbol|))) (|:| A (|Mapping| |#2| (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| |#2|))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| |#1|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| AX (|Mapping| |#3| (|NonNegativeInteger|) (|Symbol|) |#3|)) (|:| C (|Mapping| (|List| |#2|) (|NonNegativeInteger|)))) (|List| (|GuessOption|))) "\\spad{diffHP options} returns a specification for Hermite-Pade approximation with the differential operator")) (|guessRat| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessRat q} returns a guesser that tries to find a \\spad{q}-rational function whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec} with \\spad{(l,{} maxShift == 0,{} maxPower == 1,{} allDegrees == true)}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessRat l} tries to find a rational function whose first values are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} maxShift == 0,{} maxPower == 1,{} allDegrees == true)}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessRat(l,{} options)} tries to find a rational function whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} maxShift == 0,{} maxPower == 1,{} allDegrees == true)}.")) (|guessPRec| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessPRec q} returns a guesser that tries to find a linear \\spad{q}-recurrence with polynomial coefficients whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec}\\spad{(q)} with \\spad{maxPower == 1}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessPRec l} tries to find a linear recurrence with polynomial coefficients whose first values are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} maxPower == 1)}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessPRec(l,{} options)} tries to find a linear recurrence with polynomial coefficients whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} options)} with \\spad{maxPower == 1}.")) (|guessRec| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessRec q} returns a guesser that finds an ordinary \\spad{q}-difference equation whose first values are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessRec(l,{} options)} tries to find an ordinary difference equation whose first values are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessRec l} tries to find an ordinary difference equation whose first values are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}.")) (|guessPade| (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessPade(l,{} options)} tries to find a rational function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} options)} with \\spad{maxDerivative == 0,{} maxPower == 1,{} allDegrees == true}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessPade(l,{} options)} tries to find a rational function whose first Taylor coefficients are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} maxDerivative == 0,{} maxPower == 1,{} allDegrees == true)}.")) (|guessHolo| (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessHolo(l,{} options)} tries to find an ordinary linear differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} options)} with \\spad{maxPower == 1}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessHolo l} tries to find an ordinary linear differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} maxPower == 1)}.")) (|guessAlg| (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessAlg(l,{} options)} tries to find an algebraic equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessADE}(\\spad{l},{} options) with \\spad{maxDerivative == 0}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessAlg l} tries to find an algebraic equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessADE}(\\spad{l},{} maxDerivative \\spad{==} 0).")) (|guessADE| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessADE q} returns a guesser that tries to find an algebraic differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessADE(l,{} options)} tries to find an algebraic differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessADE l} tries to find an algebraic differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}.")) (|guessHP| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Mapping| (|Record| (|:| |guessStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| |#1|)) (|UnivariateFormalPowerSeries| |#1|))) (|:| |degreeStream| (|Stream| (|NonNegativeInteger|))) (|:| |testStream| (|Mapping| (|Stream| (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|))) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| |exprStream| (|Mapping| (|Stream| |#3|) |#3| (|Symbol|))) (|:| A (|Mapping| |#2| (|NonNegativeInteger|) (|NonNegativeInteger|) (|SparseUnivariatePolynomial| |#2|))) (|:| AF (|Mapping| (|SparseUnivariatePolynomial| |#1|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateFormalPowerSeries| (|SparseUnivariatePolynomial| |#1|)))) (|:| AX (|Mapping| |#3| (|NonNegativeInteger|) (|Symbol|) |#3|)) (|:| C (|Mapping| (|List| |#2|) (|NonNegativeInteger|)))) (|List| (|GuessOption|)))) "\\spad{guessHP f} constructs an operation that applies Hermite-Pade approximation to the series generated by the given function \\spad{f}.")) (|guessBinRat| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessBinRat q} returns a guesser that tries to find a function of the form \\spad{n+}->qbinomial(a+b \\spad{n},{} \\spad{n}) \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{q^n}) is a \\spad{q}-rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessBinRat(l,{} options)} tries to find a function of the form \\spad{n+}->binomial(a+b \\spad{n},{} \\spad{n}) \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessBinRat(l,{} options)} tries to find a function of the form \\spad{n+}->binomial(a+b \\spad{n},{} \\spad{n}) \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.")) (|guessExpRat| (((|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessExpRat q} returns a guesser that tries to find a function of the form \\spad{n+}->(a+b \\spad{q^n})\\spad{^n} \\spad{r}(\\spad{q^n}),{} where \\spad{r}(\\spad{q^n}) is a \\spad{q}-rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guessExpRat(l,{} options)} tries to find a function of the form \\spad{n+}->(a+b \\spad{n})\\spad{^n} \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guessExpRat l} tries to find a function of the form \\spad{n+}->(a+b \\spad{n})\\spad{^n} \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.")) (|guess| (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|)))) (|List| (|Symbol|)) (|List| (|GuessOption|))) "\\spad{guess(l,{} guessers,{} ops)} applies recursively the given \\spad{guessers} to the successive differences if ops contains the symbol \\spad{guessSum} and quotients if ops contains the symbol \\spad{guessProduct} to the list. The given options are used.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|Mapping| (|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|)))) (|List| (|Symbol|))) "\\spad{guess(l,{} guessers,{} ops)} applies recursively the given \\spad{guessers} to the successive differences if ops contains the symbol guessSum and quotients if ops contains the symbol guessProduct to the list. Default options as described in \\spadtype{GuessOptionFunctions0} are used.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|) (|List| (|GuessOption|))) "\\spad{guess(l,{} options)} applies recursively \\spadfun{guessRec} and \\spadfun{guessADE} to the successive differences and quotients of the list. The given options are used.") (((|List| (|Record| (|:| |function| |#3|) (|:| |order| (|NonNegativeInteger|)))) (|List| |#1|)) "\\spad{guess l} applies recursively \\spadfun{guessRec} and \\spadfun{guessADE} to the successive differences and quotients of the list. Default options as described in \\spadtype{GuessOptionFunctions0} are used."))) 
 NIL 
-((-12 (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161)))))) 
-(-487) 
+((-12 (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163)))))) 
+(-488) 
 ((|constructor| (NIL "This package exports guessing of sequences of rational functions"))) 
 NIL 
-((-12 (|HasCategory| (-409 (-953 (-568))) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-953 (-568)) (LIST (QUOTE -1037) (QUOTE (-1161)))))) 
-(-488 |q|) 
+((-12 (|HasCategory| (-410 (-954 (-569))) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-954 (-569)) (LIST (QUOTE -1038) (QUOTE (-1163)))))) 
+(-489 |q|) 
 ((|constructor| (NIL "This package exports guessing of sequences of univariate rational functions")) (|shiftHP| (((|Mapping| HPSPEC (|List| (|GuessOption|))) (|Symbol|)) "\\spad{shiftHP options} returns a specification for Hermite-Pade approximation with the \\$\\spad{q}\\$-shift operator") ((HPSPEC (|List| (|GuessOption|))) "\\spad{shiftHP options} returns a specification for Hermite-Pade approximation with the shift operator")) (|diffHP| (((|Mapping| HPSPEC (|List| (|GuessOption|))) (|Symbol|)) "\\spad{diffHP options} returns a specification for Hermite-Pade approximation with the \\$\\spad{q}\\$-dilation operator") ((HPSPEC (|List| (|GuessOption|))) "\\spad{diffHP options} returns a specification for Hermite-Pade approximation with the differential operator")) (|guessRat| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessRat q} returns a guesser that tries to find a \\spad{q}-rational function whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec} with \\spad{(l,{} maxShift == 0,{} maxPower == 1,{} allDegrees == true)}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessRat l} tries to find a rational function whose first values are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} maxShift == 0,{} maxPower == 1,{} allDegrees == true)}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessRat(l,{} options)} tries to find a rational function whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} maxShift == 0,{} maxPower == 1,{} allDegrees == true)}.")) (|guessPRec| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessPRec q} returns a guesser that tries to find a linear \\spad{q}-recurrence with polynomial coefficients whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec}\\spad{(q)} with \\spad{maxPower == 1}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessPRec l} tries to find a linear recurrence with polynomial coefficients whose first values are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} maxPower == 1)}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessPRec(l,{} options)} tries to find a linear recurrence with polynomial coefficients whose first values are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessRec}\\spad{(l,{} options)} with \\spad{maxPower == 1}.")) (|guessRec| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessRec q} returns a guesser that finds an ordinary \\spad{q}-difference equation whose first values are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessRec(l,{} options)} tries to find an ordinary difference equation whose first values are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessRec l} tries to find an ordinary difference equation whose first values are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}.")) (|guessPade| (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessPade(l,{} options)} tries to find a rational function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} options)} with \\spad{maxDerivative == 0,{} maxPower == 1,{} allDegrees == true}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessPade(l,{} options)} tries to find a rational function whose first Taylor coefficients are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} maxDerivative == 0,{} maxPower == 1,{} allDegrees == true)}.")) (|guessHolo| (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessHolo(l,{} options)} tries to find an ordinary linear differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} options)} with \\spad{maxPower == 1}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessHolo l} tries to find an ordinary linear differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessADE}\\spad{(l,{} maxPower == 1)}.")) (|guessAlg| (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessAlg(l,{} options)} tries to find an algebraic equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options. It is equivalent to \\spadfun{guessADE}(\\spad{l},{} options) with \\spad{maxDerivative == 0}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessAlg l} tries to find an algebraic equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}. It is equivalent to \\spadfun{guessADE}(\\spad{l},{} maxDerivative \\spad{==} 0).")) (|guessADE| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessADE q} returns a guesser that tries to find an algebraic differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessADE(l,{} options)} tries to find an algebraic differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the given options.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessADE l} tries to find an algebraic differential equation for a generating function whose first Taylor coefficients are given by \\spad{l},{} using the default options described in \\spadtype{GuessOptionFunctions0}.")) (|guessHP| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Mapping| HPSPEC (|List| (|GuessOption|)))) "\\spad{guessHP f} constructs an operation that applies Hermite-Pade approximation to the series generated by the given function \\spad{f}.")) (|guessBinRat| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessBinRat q} returns a guesser that tries to find a function of the form \\spad{n+}->qbinomial(a+b \\spad{n},{} \\spad{n}) \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{q^n}) is a \\spad{q}-rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessBinRat(l,{} options)} tries to find a function of the form \\spad{n+}->binomial(a+b \\spad{n},{} \\spad{n}) \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessBinRat(l,{} options)} tries to find a function of the form \\spad{n+}->binomial(a+b \\spad{n},{} \\spad{n}) \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.")) (|guessExpRat| (((|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) (|Symbol|)) "\\spad{guessExpRat q} returns a guesser that tries to find a function of the form \\spad{n+}->(a+b \\spad{q^n})\\spad{^n} \\spad{r}(\\spad{q^n}),{} where \\spad{r}(\\spad{q^n}) is a \\spad{q}-rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guessExpRat(l,{} options)} tries to find a function of the form \\spad{n+}->(a+b \\spad{n})\\spad{^n} \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guessExpRat l} tries to find a function of the form \\spad{n+}->(a+b \\spad{n})\\spad{^n} \\spad{r}(\\spad{n}),{} where \\spad{r}(\\spad{n}) is a rational function,{} that fits \\spad{l}.")) (|guess| (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|)))) (|List| (|Symbol|)) (|List| (|GuessOption|))) "\\spad{guess(l,{} guessers,{} ops)} applies recursively the given \\spad{guessers} to the successive differences if ops contains the symbol \\spad{guessSum} and quotients if ops contains the symbol \\spad{guessProduct} to the list. The given options are used.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|Mapping| (|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|)))) (|List| (|Symbol|))) "\\spad{guess(l,{} guessers,{} ops)} applies recursively the given \\spad{guessers} to the successive differences if ops contains the symbol guessSum and quotients if ops contains the symbol guessProduct to the list. Default options as described in \\spadtype{GuessOptionFunctions0} are used.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|)))) (|List| (|GuessOption|))) "\\spad{guess(l,{} options)} applies recursively \\spadfun{guessRec} and \\spadfun{guessADE} to the successive differences and quotients of the list. The given options are used.") (((|List| (|Record| (|:| |function| (|MyExpression| |#1| (|Integer|))) (|:| |order| (|NonNegativeInteger|)))) (|List| (|Fraction| (|MyUnivariatePolynomial| |#1| (|Integer|))))) "\\spad{guess l} applies recursively \\spadfun{guessRec} and \\spadfun{guessADE} to the successive differences and quotients of the list. Default options as described in \\spadtype{GuessOptionFunctions0} are used."))) 
 NIL 
 NIL 
-(-489) 
+(-490) 
 ((|constructor| (NIL "Symbolic fractions in \\%\\spad{pi} with integer coefficients; The point for using \\spad{Pi} as the default domain for those fractions is that \\spad{Pi} is coercible to the float types,{} and not Expression.")) (|pi| (($) "\\spad{\\spad{pi}()} returns the symbolic \\%\\spad{pi}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-490 |Key| |Entry| |hashfn|) 
+(-491 |Key| |Entry| |hashfn|) 
 ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090))))) 
-(-491) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091))))) 
+(-492) 
 ((|constructor| (NIL "Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens,{} maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens,{} leftCandidate,{} rightCandidate,{} left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,{}wt,{}rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight \\spad{<=} \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,{}n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) 
 NIL 
 NIL 
-(-492 |vl| R) 
+(-493 |vl| R) 
 ((|constructor| (NIL "This type supports distributed multivariate polynomials whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
-(((-4523 "*") |has| |#2| (-172)) (-4514 |has| |#2| (-558)) (-4519 |has| |#2| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-904))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172))) (-2199 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-558)))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-365))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#2| (QUOTE -4519)) (|HasCategory| |#2| (QUOTE (-453))) (-2199 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (|HasCategory| |#2| (QUOTE (-148))))) 
-(-493 -1965 S) 
+(((-4537 "*") |has| |#2| (-173)) (-4528 |has| |#2| (-559)) (-4533 |has| |#2| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173))) (-2232 (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-559)))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-366))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#2| (QUOTE -4533)) (|HasCategory| |#2| (QUOTE (-454))) (-2232 (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-149))))) 
+(-494 -4391 S) 
 ((|constructor| (NIL "This type represents the finite direct or cartesian product of an underlying ordered component type. The vectors are ordered first by the sum of their components,{} and then refined using a reverse lexicographic ordering. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
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+(-495 S) 
 ((|constructor| (NIL "Heap implemented in a flexible array to allow for insertions")) (|member?| (((|Boolean|) |#1| $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} member?(3,{}a)")) (|members| (((|List| |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} members a")) (|parts| (((|List| |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} parts a")) (|#| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} \\#a")) (|count| (((|NonNegativeInteger|) |#1| $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} count(4,{}a)") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} count(\\spad{x+}->(\\spad{x>2}),{}a)")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} any?(\\spad{x+}->(\\spad{x=4}),{}a)")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} every?(\\spad{x+}->(\\spad{x=4}),{}a)")) (~= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} (a~=b)")) (= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} b:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} (a=b)@Boolean")) (|coerce| (((|OutputForm|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} coerce a")) (|hash| (((|SingleInteger|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} hash a")) (|latex| (((|String|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} latex a")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} map!(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} size?(a,{}5)")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} more?(a,{}9)")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} less?(a,{}9)")) (|sample| (($) "\\blankline \\spad{X} sample()\\$Heap(INT)")) (|merge!| (($ $ $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} b:Heap INT:= heap [6,{}7,{}8,{}9,{}10] \\spad{X} merge!(a,{}\\spad{b}) \\spad{X} a \\spad{X} \\spad{b}")) (|merge| (($ $ $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} b:Heap INT:= heap [6,{}7,{}8,{}9,{}10] \\spad{X} merge(a,{}\\spad{b})")) (|max| ((|#1| $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} max a")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} map(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|inspect| ((|#1| $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} inspect a")) (|insert!| (($ |#1| $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} insert!(8,{}a) \\spad{X} a")) (|extract!| ((|#1| $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} extract! a \\spad{X} a")) (|eq?| (((|Boolean|) $ $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} eq?(a,{}\\spad{b})")) (|empty| (($) "\\blankline \\spad{X} b:=empty()\\$(Heap INT)")) (|empty?| (((|Boolean|) $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} empty? a")) (|copy| (($ $) "\\blankline \\spad{X} a:Heap INT:= heap [1,{}2,{}3,{}4,{}5] \\spad{X} copy a")) (|bag| (($ (|List| |#1|)) "\\blankline \\spad{X} bag([1,{}2,{}3,{}4,{}5])\\$Heap(INT)")) (|heap| (($ (|List| |#1|)) "\\indented{1}{heap(\\spad{ls}) creates a heap of elements consisting of the} \\indented{1}{elements of \\spad{ls}.} \\blankline \\spad{E} i:Heap INT \\spad{:=} heap [1,{}6,{}3,{}7,{}5,{}2,{}4]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-495 -1478 UP UPUP R) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-496 -1564 UP UPUP R) 
 ((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) 
 NIL 
 NIL 
-(-496 BP) 
+(-497 BP) 
 ((|constructor| (NIL "This package provides the functions for the heuristic integer \\spad{gcd}. Geddes\\spad{'s} algorithm,{}for univariate polynomials with integer coefficients")) (|lintgcd| (((|Integer|) (|List| (|Integer|))) "\\spad{lintgcd([a1,{}..,{}ak])} = \\spad{gcd} of a list of integers")) (|content| (((|List| (|Integer|)) (|List| |#1|)) "\\spad{content([f1,{}..,{}fk])} = content of a list of univariate polynonials")) (|gcdcofactprim| (((|List| |#1|) (|List| |#1|)) "\\spad{gcdcofactprim([f1,{}..fk])} = \\spad{gcd} and cofactors of \\spad{k} primitive polynomials.")) (|gcdcofact| (((|List| |#1|) (|List| |#1|)) "\\spad{gcdcofact([f1,{}..fk])} = \\spad{gcd} and cofactors of \\spad{k} univariate polynomials.")) (|gcdprim| ((|#1| (|List| |#1|)) "\\spad{gcdprim([f1,{}..,{}fk])} = \\spad{gcd} of \\spad{k} PRIMITIVE univariate polynomials")) (|gcd| ((|#1| (|List| |#1|)) "\\indented{1}{\\spad{gcd}([\\spad{f1},{}..,{}\\spad{fk}]) = \\spad{gcd} of the polynomials \\spad{fi}.} \\blankline \\spad{X} \\spad{gcd}([671*671*x^2-1,{}671*671*x^2+2*671*x+1]) \\spad{X} \\spad{gcd}([7*x^2+1,{}(7*x^2+1)\\spad{^2}])"))) 
 NIL 
 NIL 
-(-497) 
+(-498) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating hexadecimal expansions.")) (|hex| (($ (|Fraction| (|Integer|))) "\\spad{hex(r)} converts a rational number to a hexadecimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(h)} returns the fractional part of a hexadecimal expansion.")) (|coerce| (((|RadixExpansion| 16) $) "\\spad{coerce(h)} converts a hexadecimal expansion to a radix expansion with base 16.") (((|Fraction| (|Integer|)) $) "\\spad{coerce(h)} converts a hexadecimal expansion to a rational number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-568) (QUOTE (-904))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-568) (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-150))) (|HasCategory| (-568) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-568) (QUOTE (-1021))) (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-1136))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-568) (QUOTE (-225))) (|HasCategory| (-568) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-568) (LIST (QUOTE -523) (QUOTE (-1161)) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -303) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -281) (QUOTE (-568)) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-301))) (|HasCategory| (-568) (QUOTE (-550))) (|HasCategory| (-568) (QUOTE (-842))) (-2199 (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (QUOTE (-842)))) (|HasCategory| (-568) (LIST (QUOTE -630) (QUOTE (-568)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (|HasCategory| (-568) (QUOTE (-148))))) 
-(-498 A S) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-569) (QUOTE (-905))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-569) (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-151))) (|HasCategory| (-569) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-569) (QUOTE (-1022))) (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-1137))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-569) (QUOTE (-226))) (|HasCategory| (-569) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-569) (LIST (QUOTE -524) (QUOTE (-1163)) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -282) (QUOTE (-569)) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-302))) (|HasCategory| (-569) (QUOTE (-551))) (|HasCategory| (-569) (QUOTE (-843))) (-2232 (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (QUOTE (-843)))) (|HasCategory| (-569) (LIST (QUOTE -631) (QUOTE (-569)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (|HasCategory| (-569) (QUOTE (-149))))) 
+(-499 A S) 
 ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#2| $) "\\spad{member?(x,{}u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#2|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#2|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#2| $) "\\spad{count(x,{}u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{count(p,{}u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{every?(f,{}u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note that for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{any?(p,{}u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note that for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,{}u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,{}u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4521)) (|HasAttribute| |#1| (QUOTE -4522)) (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))) 
-(-499 S) 
+((|HasAttribute| |#1| (QUOTE -4535)) (|HasAttribute| |#1| (QUOTE -4536)) (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) 
+(-500 S) 
 ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#1| $) "\\spad{member?(x,{}u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#1|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#1|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#1| $) "\\spad{count(x,{}u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{count(p,{}u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{every?(f,{}u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note that for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{any?(p,{}u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note that for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\spad{map!(f,{}u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-500) 
+(-501) 
 ((|constructor| (NIL "HtmlFormat provides a coercion from OutputForm to html.")) (|display| (((|Void|) (|String|)) "\\indented{1}{display(\\spad{o}) prints the string returned by coerce.} \\blankline \\spad{X} display(coerce(sqrt(3+x)::OutputForm)\\$HTMLFORM)\\$HTMLFORM")) (|exprex| (((|String|) (|OutputForm|)) "\\indented{1}{exprex(\\spad{o}) coverts \\spadtype{OutputForm} to \\spadtype{String}} \\blankline \\spad{X} exprex(sqrt(3+x)::OutputForm)\\$HTMLFORM")) (|coerceL| (((|String|) (|OutputForm|)) "\\indented{1}{coerceL(\\spad{o}) changes \\spad{o} in the standard output format to html} \\indented{1}{format and displays result as one long string.} \\blankline \\spad{X} coerceL(sqrt(3+x)::OutputForm)\\$HTMLFORM")) (|coerceS| (((|String|) (|OutputForm|)) "\\indented{1}{coerceS(\\spad{o}) changes \\spad{o} in the standard output format to html} \\indented{1}{format and displays formatted result.} \\blankline \\spad{X} coerceS(sqrt(3+x)::OutputForm)\\$HTMLFORM")) (|coerce| (((|String|) (|OutputForm|)) "\\indented{1}{coerce(\\spad{o}) changes \\spad{o} in the standard output format to html format.} \\blankline \\spad{X} coerce(sqrt(3+x)::OutputForm)\\$HTMLFORM"))) 
 NIL 
 NIL 
-(-501 S) 
+(-502 S) 
 ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-502) 
+(-503) 
 ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-503 -1478 UP |AlExt| |AlPol|) 
+(-504 -1564 UP |AlExt| |AlPol|) 
 ((|constructor| (NIL "Factorisation in a simple algebraic extension Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP\\spad{'s}.")) (|factor| (((|Factored| |#4|) |#4| (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{factor(p,{} f)} returns a prime factorisation of \\spad{p}; \\spad{f} is a factorisation map for elements of UP."))) 
 NIL 
 NIL 
-(-504) 
+(-505) 
 ((|constructor| (NIL "Algebraic closure of the rational numbers.")) (|norm| (($ $ (|List| (|Kernel| $))) "\\spad{norm(f,{}l)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernels \\spad{l}") (($ $ (|Kernel| $)) "\\spad{norm(f,{}k)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernel \\spad{k}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|List| (|Kernel| $))) "\\spad{norm(p,{}l)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernels \\spad{l}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{norm(p,{}k)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernel \\spad{k}")) (|trueEqual| (((|Boolean|) $ $) "\\spad{trueEqual(x,{}y)} tries to determine if the two numbers are equal")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic numbers present in \\spad{f} by applying their defining relations.")) (|denom| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|numer| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|coerce| (($ (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} viewed as an algebraic number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| $ (QUOTE (-1047))) (|HasCategory| $ (LIST (QUOTE -1037) (QUOTE (-568))))) 
-(-505 S |mn|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| $ (QUOTE (-1048))) (|HasCategory| $ (LIST (QUOTE -1038) (QUOTE (-569))))) 
+(-506 S |mn|) 
 ((|constructor| (NIL "This is the basic one dimensional array data type."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-506 R |mnRow| |mnCol|) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-507 R |mnRow| |mnCol|) 
 ((|constructor| (NIL "This domain implements two dimensional arrays"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-507 K R UP) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-508 K R UP) 
 ((|constructor| (NIL "This package has no description")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,{}lr,{}n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,{}q,{}n)} returns the list \\spad{[bas,{}bas^Frob,{}bas^(Frob^2),{}...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,{}n,{}m,{}j)} \\undocumented"))) 
 NIL 
 NIL 
-(-508 R UP -1478) 
+(-509 R UP -1564) 
 ((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,{}m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{\\spad{mi}} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn} and \\spad{\\spad{mi}} is a record \\spad{[basis,{}basisDen,{}basisInv]}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then a basis \\spad{v1,{}...,{}vn} for \\spad{\\spad{mi}} is given by \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1,{} m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,{}m2,{}d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,{}m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,{}n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,{}matrixOut,{}prime,{}n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,{}sing,{}n)} is \\spad{gcd(sing,{}g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
-(-509 |mn|) 
+(-510 |mn|) 
 ((|constructor| (NIL "\\spadtype{IndexedBits} is a domain to compactly represent large quantities of Boolean data.")) (|And| (($ $ $) "\\spad{And(n,{}m)} returns the bit-by-bit logical And of \\spad{n} and \\spad{m}.")) (|Or| (($ $ $) "\\spad{Or(n,{}m)} returns the bit-by-bit logical Or of \\spad{n} and \\spad{m}.")) (|Not| (($ $) "\\spad{Not(n)} returns the bit-by-bit logical Not of \\spad{n}."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-121) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-121) (QUOTE (-842))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-121) (QUOTE (-1090))) (-12 (|HasCategory| (-121) (LIST (QUOTE -303) (QUOTE (-121)))) (|HasCategory| (-121) (QUOTE (-1090))))) 
-(-510 K R UP L) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-121) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-121) (QUOTE (-843))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-121) (QUOTE (-1091))) (-12 (|HasCategory| (-121) (LIST (QUOTE -304) (QUOTE (-121)))) (|HasCategory| (-121) (QUOTE (-1091))))) 
+(-511 K R UP L) 
 ((|constructor| (NIL "IntegralBasisPolynomialTools provides functions for mapping functions on the coefficients of univariate and bivariate polynomials.")) (|mapBivariate| (((|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#4|)) (|Mapping| |#4| |#1|) |#3|) "\\spad{mapBivariate(f,{}p(x,{}y))} applies the function \\spad{f} to the coefficients of \\spad{p(x,{}y)}.")) (|mapMatrixIfCan| (((|Union| (|Matrix| |#2|) "failed") (|Mapping| (|Union| |#1| "failed") |#4|) (|Matrix| (|SparseUnivariatePolynomial| |#4|))) "\\spad{mapMatrixIfCan(f,{}mat)} applies the function \\spad{f} to the coefficients of the entries of \\spad{mat} if possible,{} and returns \\spad{\"failed\"} otherwise.")) (|mapUnivariateIfCan| (((|Union| |#2| "failed") (|Mapping| (|Union| |#1| "failed") |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{mapUnivariateIfCan(f,{}p(x))} applies the function \\spad{f} to the coefficients of \\spad{p(x)},{} if possible,{} and returns \\spad{\"failed\"} otherwise.")) (|mapUnivariate| (((|SparseUnivariatePolynomial| |#4|) (|Mapping| |#4| |#1|) |#2|) "\\spad{mapUnivariate(f,{}p(x))} applies the function \\spad{f} to the coefficients of \\spad{p(x)}.") ((|#2| (|Mapping| |#1| |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{mapUnivariate(f,{}p(x))} applies the function \\spad{f} to the coefficients of \\spad{p(x)}."))) 
 NIL 
 NIL 
-(-511) 
+(-512) 
 ((|constructor| (NIL "This domain implements a container of information about the AXIOM library")) (|coerce| (($ (|String|)) "\\spad{coerce(s)} converts \\axiom{\\spad{s}} into an \\axiom{IndexCard}. Warning: if \\axiom{\\spad{s}} is not of the right format then an error will occur")) (|fullDisplay| (((|Void|) $) "\\spad{fullDisplay(ic)} prints all of the information contained in \\axiom{\\spad{ic}}.")) (|display| (((|Void|) $) "\\spad{display(ic)} prints a summary of information contained in \\axiom{\\spad{ic}}.")) (|elt| (((|String|) $ (|Symbol|)) "\\spad{elt(ic,{}s)} selects a particular field from \\axiom{\\spad{ic}}. Valid fields are \\axiom{name,{} nargs,{} exposed,{} type,{} abbreviation,{} kind,{} origin,{} params,{} condition,{} doc}."))) 
 NIL 
 NIL 
-(-512 R Q A B) 
+(-513 R Q A B) 
 ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,{}...,{}qn])} returns \\spad{[[p1,{}...,{}pn],{} d]} such that \\spad{\\spad{qi} = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,{}...,{}qn])} returns \\spad{[p1,{}...,{}pn]} such that \\spad{\\spad{qi} = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,{}...,{}qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
 NIL 
-(-513 K |symb| BLMET) 
+(-514 K |symb| BLMET) 
 ((|constructor| (NIL "This domain is part of the PAFF package")) (|fullOutput| (((|Boolean|)) "\\spad{fullOutput returns} the value of the flag set by fullOutput(\\spad{b}).") (((|Boolean|) (|Boolean|)) "\\spad{fullOutput(b)} sets a flag such that when \\spad{true},{} a coerce to OutputForm yields the full output of \\spad{tr},{} otherwise encode(\\spad{tr}) is output (see encode function). The default is \\spad{false}.")) (|fullOut| (((|OutputForm|) $) "\\spad{fullOut(tr)} yields a full output of \\spad{tr} (see function fullOutput)."))) 
 NIL 
 NIL 
-(-514 -1478 |Expon| |VarSet| |DPoly|) 
+(-515 -1564 |Expon| |VarSet| |DPoly|) 
 ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#4| (|List| |#3|)) "\\spad{saturate(I,{}f,{}lvar)} is the saturation with respect to the prime principal ideal which is generated by \\spad{f} in the polynomial ring \\spad{F[lvar]}.") (($ $ |#4|) "\\spad{saturate(I,{}f)} is the saturation of the ideal \\spad{I} with respect to the multiplicative set generated by the polynomial \\spad{f}.")) (|coerce| (($ (|List| |#4|)) "\\spad{coerce(polyList)} converts the list of polynomials \\spad{polyList} to an ideal.")) (|generators| (((|List| |#4|) $) "\\spad{generators(I)} returns a list of generators for the ideal \\spad{I}.")) (|groebner?| (((|Boolean|) $) "\\spad{groebner?(I)} tests if the generators of the ideal \\spad{I} are a Groebner basis.")) (|groebnerIdeal| (($ (|List| |#4|)) "\\spad{groebnerIdeal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList} which are assumed to be a Groebner basis. Note: this operation avoids a Groebner basis computation.")) (|ideal| (($ (|List| |#4|)) "\\spad{ideal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList}.")) (|leadingIdeal| (($ $) "\\spad{leadingIdeal(I)} is the ideal generated by the leading terms of the elements of the ideal \\spad{I}.")) (|dimension| (((|Integer|) $) "\\spad{dimension(I)} gives the dimension of the ideal \\spad{I}. in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Integer|) $ (|List| |#3|)) "\\spad{dimension(I,{}lvar)} gives the dimension of the ideal \\spad{I},{} in the ring \\spad{F[lvar]}")) (|backOldPos| (($ (|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $))) "\\spad{backOldPos(genPos)} takes the result produced by generalPosition from PolynomialIdeals and performs the inverse transformation,{} returning the original ideal \\spad{backOldPos(generalPosition(I,{}listvar))} = \\spad{I}.")) (|generalPosition| (((|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $)) $ (|List| |#3|)) "\\spad{generalPosition(I,{}listvar)} perform a random linear transformation on the variables in \\spad{listvar} and returns the transformed ideal along with the change of basis matrix.")) (|groebner| (($ $) "\\spad{groebner(I)} returns a set of generators of \\spad{I} that are a Groebner basis for \\spad{I}.")) (|quotient| (($ $ |#4|) "\\spad{quotient(I,{}f)} computes the quotient of the ideal \\spad{I} by the principal ideal generated by the polynomial \\spad{f},{} \\spad{(I:(f))}.") (($ $ $) "\\spad{quotient(I,{}J)} computes the quotient of the ideals \\spad{I} and \\spad{J},{} \\spad{(I:J)}.")) (|intersect| (($ (|List| $)) "\\spad{intersect(LI)} computes the intersection of the list of ideals \\spad{LI}.") (($ $ $) "\\spad{intersect(I,{}J)} computes the intersection of the ideals \\spad{I} and \\spad{J}.")) (|zeroDim?| (((|Boolean|) $) "\\spad{zeroDim?(I)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Boolean|) $ (|List| |#3|)) "\\spad{zeroDim?(I,{}lvar)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]}")) (|inRadical?| (((|Boolean|) |#4| $) "\\spad{inRadical?(f,{}I)} tests if some power of the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|in?| (((|Boolean|) $ $) "\\spad{in?(I,{}J)} tests if the ideal \\spad{I} is contained in the ideal \\spad{J}.")) (|element?| (((|Boolean|) |#4| $) "\\spad{element?(f,{}I)} tests whether the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|zero?| (((|Boolean|) $) "\\spad{zero?(I)} tests whether the ideal \\spad{I} is the zero ideal")) (|one?| (((|Boolean|) $) "\\spad{one?(I)} tests whether the ideal \\spad{I} is the unit ideal,{} \\spadignore{i.e.} contains 1.")) (+ (($ $ $) "\\spad{I+J} computes the ideal generated by the union of \\spad{I} and \\spad{J}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{I**n} computes the \\spad{n}th power of the ideal \\spad{I}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) 
 NIL 
-((|HasCategory| |#3| (LIST (QUOTE -609) (QUOTE (-1161))))) 
-(-515 |vl| |nv|) 
+((|HasCategory| |#3| (LIST (QUOTE -610) (QUOTE (-1163))))) 
+(-516 |vl| |nv|) 
 ((|constructor| (NIL "This package provides functions for the primary decomposition of polynomial ideals over the rational numbers. The ideals are members of the \\spadtype{PolynomialIdeals} domain,{} and the polynomial generators are required to be from the \\spadtype{DistributedMultivariatePolynomial} domain.")) (|contract| (((|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|)))) (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|)))) (|List| (|OrderedVariableList| |#1|))) "\\spad{contract(I,{}lvar)} contracts the ideal \\spad{I} to the polynomial ring \\spad{F[lvar]}.")) (|primaryDecomp| (((|List| (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) "\\spad{primaryDecomp(I)} returns a list of primary ideals such that their intersection is the ideal \\spad{I}.")) (|radical| (((|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|)))) (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) "\\spad{radical(I)} returns the radical of the ideal \\spad{I}.")) (|prime?| (((|Boolean|) (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) "\\spad{prime?(I)} tests if the ideal \\spad{I} is prime.")) (|zeroDimPrimary?| (((|Boolean|) (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) "\\spad{zeroDimPrimary?(I)} tests if the ideal \\spad{I} is 0-dimensional primary.")) (|zeroDimPrime?| (((|Boolean|) (|PolynomialIdeals| (|Fraction| (|Integer|)) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|OrderedVariableList| |#1|) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) "\\spad{zeroDimPrime?(I)} tests if the ideal \\spad{I} is a 0-dimensional prime."))) 
 NIL 
 NIL 
-(-516 A S) 
+(-517 A S) 
 ((|constructor| (NIL "Indexed direct products of abelian groups over an abelian group \\spad{A} of generators indexed by the ordered set \\spad{S}. All items have finite support: only non-zero terms are stored."))) 
 NIL 
 NIL 
-(-517 A S) 
+(-518 A S) 
 ((|constructor| (NIL "Indexed direct products of abelian monoids over an abelian monoid \\spad{A} of generators indexed by the ordered set \\spad{S}. All items have finite support. Only non-zero terms are stored."))) 
 NIL 
 NIL 
-(-518 A S) 
+(-519 A S) 
 ((|constructor| (NIL "This category represents the direct product of some set with respect to an ordered indexing set.")) (|reductum| (($ $) "\\spad{reductum(z)} returns a new element created by removing the leading coefficient/support pair from the element \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingSupport| ((|#2| $) "\\spad{leadingSupport(z)} returns the index of leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(z)} returns the coefficient of the leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(a,{}s)} constructs a direct product element with the \\spad{s} component set to \\spad{a}")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}z)} returns the new element created by applying the function \\spad{f} to each component of the direct product element \\spad{z}."))) 
 NIL 
 NIL 
-(-519 A S) 
+(-520 A S) 
 ((|constructor| (NIL "Indexed direct products of ordered abelian monoids \\spad{A} of generators indexed by the ordered set \\spad{S}. The inherited order is lexicographical. All items have finite support: only non-zero terms are stored."))) 
 NIL 
 NIL 
-(-520 A S) 
+(-521 A S) 
 ((|constructor| (NIL "Indexed direct products of ordered abelian monoid sups \\spad{A},{} generators indexed by the ordered set \\spad{S}. All items have finite support: only non-zero terms are stored."))) 
 NIL 
 NIL 
-(-521 A S) 
+(-522 A S) 
 ((|constructor| (NIL "Indexed direct products of objects over a set \\spad{A} of generators indexed by an ordered set \\spad{S}. All items have finite support."))) 
 NIL 
 NIL 
-(-522 S A B) 
+(-523 S A B) 
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions. The difference between this and \\spadtype{Evalable} is that the operations in this category specify the substitution as a pair of arguments rather than as an equation.")) (|eval| (($ $ (|List| |#2|) (|List| |#3|)) "\\spad{eval(f,{} [x1,{}...,{}xn],{} [v1,{}...,{}vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ |#2| |#3|) "\\spad{eval(f,{} x,{} v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
 NIL 
 NIL 
-(-523 A B) 
+(-524 A B) 
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions. The difference between this and \\spadtype{Evalable} is that the operations in this category specify the substitution as a pair of arguments rather than as an equation.")) (|eval| (($ $ (|List| |#1|) (|List| |#2|)) "\\spad{eval(f,{} [x1,{}...,{}xn],{} [v1,{}...,{}vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ |#1| |#2|) "\\spad{eval(f,{} x,{} v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
 NIL 
 NIL 
-(-524 S E |un|) 
+(-525 S E |un|) 
 ((|constructor| (NIL "Internal implementation of a free abelian monoid on any set of generators"))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-787)))) 
-(-525 S |mn|) 
+((|HasCategory| |#2| (QUOTE (-788)))) 
+(-526 S |mn|) 
 ((|constructor| (NIL "A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations\\spad{\\br} \\spad{append(x,{}a)} meaning append item \\spad{x} at the end of the array \\spad{a}\\spad{\\br} \\spad{delete(a,{}n)} meaning delete the last item from the array \\spad{a}\\spad{\\br} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\indented{1}{shrinkable(\\spad{b}) sets the shrinkable attribute of flexible arrays to \\spad{b}} \\indented{1}{and returns the previous value} \\blankline \\spad{X} T1:=IndexedFlexibleArray(Integer,{}20) \\spad{X} shrinkable(\\spad{false})\\$\\spad{T1}")) (|physicalLength!| (($ $ (|Integer|)) "\\indented{1}{physicalLength!(\\spad{x},{}\\spad{n}) changes the physical length of \\spad{x} to be \\spad{n} and} \\indented{1}{returns the new array.} \\blankline \\spad{X} T1:=IndexedFlexibleArray(Integer,{}20) \\spad{X} t2:=flexibleArray([\\spad{i} for \\spad{i} in 1..10])\\$\\spad{T1} \\spad{X} physicalLength!(\\spad{t2},{}15)")) (|physicalLength| (((|NonNegativeInteger|) $) "\\indented{1}{physicalLength(\\spad{x}) returns the number of elements \\spad{x} can} \\indented{1}{accomodate before growing} \\blankline \\spad{X} T1:=IndexedFlexibleArray(Integer,{}20) \\spad{X} t2:=flexibleArray([\\spad{i} for \\spad{i} in 1..10])\\$\\spad{T1} \\spad{X} physicalLength \\spad{t2}")) (|flexibleArray| (($ (|List| |#1|)) "\\indented{1}{flexibleArray(\\spad{l}) creates a flexible array from the list of elements \\spad{l}} \\blankline \\spad{X} T1:=IndexedFlexibleArray(Integer,{}20) \\spad{X} flexibleArray([\\spad{i} for \\spad{i} in 1..10])\\$\\spad{T1}"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-526 |p| |n|) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-527 |p| |n|) 
 ((|constructor| (NIL "InnerFiniteField(\\spad{p},{}\\spad{n}) implements finite fields with \\spad{p**n} elements where \\spad{p} is assumed prime but does not check. For a version which checks that \\spad{p} is prime,{} see \\spadtype{FiniteField}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-581 |#1|) (QUOTE (-150))) (|HasCategory| (-581 |#1|) (QUOTE (-370))) (|HasCategory| (-581 |#1|) (QUOTE (-148))) (-2199 (|HasCategory| (-581 |#1|) (QUOTE (-148))) (|HasCategory| (-581 |#1|) (QUOTE (-370))))) 
-(-527 R |mnRow| |mnCol| |Row| |Col|) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-582 |#1|) (QUOTE (-151))) (|HasCategory| (-582 |#1|) (QUOTE (-371))) (|HasCategory| (-582 |#1|) (QUOTE (-149))) (-2232 (|HasCategory| (-582 |#1|) (QUOTE (-149))) (|HasCategory| (-582 |#1|) (QUOTE (-371))))) 
+(-528 R |mnRow| |mnCol| |Row| |Col|) 
 ((|constructor| (NIL "There is no description for this domain"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-528 S |mn|) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-529 S |mn|) 
 ((|constructor| (NIL "\\spadtype{IndexedList} is a basic implementation of the functions in \\spadtype{ListAggregate},{} often using functions in the underlying LISP system. The second parameter to the constructor (\\spad{mn}) is the beginning index of the list. That is,{} if \\spad{l} is a list,{} then \\spad{elt(l,{}mn)} is the first value. This constructor is probably best viewed as the implementation of singly-linked lists that are addressable by index rather than as a mere wrapper for LISP lists."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-529 R |Row| |Col| M) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-530 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{InnerMatrixLinearAlgebraFunctions} is an internal package which provides standard linear algebra functions on domains in \\spad{MatrixCategory}")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|generalizedInverse| ((|#4| |#4|) "\\spad{generalizedInverse(m)} returns the generalized (Moore--Penrose) inverse of the matrix \\spad{m},{} \\spadignore{i.e.} the matrix \\spad{h} such that m*h*m=h,{} h*m*h=m,{} \\spad{m*h} and \\spad{h*m} are both symmetric matrices.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}."))) 
 NIL 
-((|HasAttribute| |#3| (QUOTE -4522))) 
-(-530 R |Row| |Col| M QF |Row2| |Col2| M2) 
+((|HasAttribute| |#3| (QUOTE -4536))) 
+(-531 R |Row| |Col| M QF |Row2| |Col2| M2) 
 ((|constructor| (NIL "\\spadtype{InnerMatrixQuotientFieldFunctions} provides functions on matrices over an integral domain which involve the quotient field of that integral domain. The functions rowEchelon and inverse return matrices with entries in the quotient field.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|inverse| (((|Union| |#8| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square. Note that the result will have entries in the quotient field.")) (|rowEchelon| ((|#8| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}. the result will have entries in the quotient field."))) 
 NIL 
-((|HasAttribute| |#7| (QUOTE -4522))) 
-(-531 R |mnRow| |mnCol|) 
+((|HasAttribute| |#7| (QUOTE -4536))) 
+(-532 R |mnRow| |mnCol|) 
 ((|constructor| (NIL "An \\spad{IndexedMatrix} is a matrix where the minimal row and column indices are parameters of the type. The domains Row and Col are both IndexedVectors. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a 'Row' is the same as the index of the first column in a matrix and vice versa."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-558))) (|HasAttribute| |#1| (QUOTE (-4523 "*"))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-532 GF) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-559))) (|HasAttribute| |#1| (QUOTE (-4537 "*"))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-533 GF) 
 ((|constructor| (NIL "InnerNormalBasisFieldFunctions(\\spad{GF}) (unexposed): This package has functions used by every normal basis finite field extension domain.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| |#1|) (|Vector| |#1|)) "\\spad{minimalPolynomial(x)} \\undocumented{} See \\axiomFunFrom{minimalPolynomial}{FiniteAlgebraicExtensionField}")) (|normalElement| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{normalElement(n)} \\undocumented{} See \\axiomFunFrom{normalElement}{FiniteAlgebraicExtensionField}")) (|basis| (((|Vector| (|Vector| |#1|)) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{} See \\axiomFunFrom{basis}{FiniteAlgebraicExtensionField}")) (|normal?| (((|Boolean|) (|Vector| |#1|)) "\\spad{normal?(x)} \\undocumented{} See \\axiomFunFrom{normal?}{FiniteAlgebraicExtensionField}")) (|lookup| (((|PositiveInteger|) (|Vector| |#1|)) "\\spad{lookup(x)} \\undocumented{} See \\axiomFunFrom{lookup}{Finite}")) (|inv| (((|Vector| |#1|) (|Vector| |#1|)) "\\spad{inv x} \\undocumented{} See \\axiomFunFrom{inv}{DivisionRing}")) (|trace| (((|Vector| |#1|) (|Vector| |#1|) (|PositiveInteger|)) "\\spad{trace(x,{}n)} \\undocumented{} See \\axiomFunFrom{trace}{FiniteAlgebraicExtensionField}")) (|norm| (((|Vector| |#1|) (|Vector| |#1|) (|PositiveInteger|)) "\\spad{norm(x,{}n)} \\undocumented{} See \\axiomFunFrom{norm}{FiniteAlgebraicExtensionField}")) (/ (((|Vector| |#1|) (|Vector| |#1|) (|Vector| |#1|)) "\\spad{x/y} \\undocumented{} See \\axiomFunFrom{/}{Field}")) (* (((|Vector| |#1|) (|Vector| |#1|) (|Vector| |#1|)) "\\spad{x*y} \\undocumented{} See \\axiomFunFrom{*}{SemiGroup}")) (** (((|Vector| |#1|) (|Vector| |#1|) (|Integer|)) "\\spad{x**n} \\undocumented{} See \\axiomFunFrom{\\spad{**}}{DivisionRing}")) (|qPot| (((|Vector| |#1|) (|Vector| |#1|) (|Integer|)) "\\spad{qPot(v,{}e)} computes \\spad{v**(q**e)},{} interpreting \\spad{v} as an element of normal basis field,{} \\spad{q} the size of the ground field. This is done by a cyclic \\spad{e}-shift of the vector \\spad{v}.")) (|expPot| (((|Vector| |#1|) (|Vector| |#1|) (|SingleInteger|) (|SingleInteger|)) "\\spad{expPot(v,{}e,{}d)} returns the sum from \\spad{i = 0} to \\spad{e - 1} of \\spad{v**(q**i*d)},{} interpreting \\spad{v} as an element of a normal basis field and where \\spad{q} is the size of the ground field. Note that for a description of the algorithm,{} see \\spad{T}.Itoh and \\spad{S}.Tsujii,{} \"A fast algorithm for computing multiplicative inverses in \\spad{GF}(2^m) using normal bases\",{} Information and Computation 78,{} \\spad{pp}.171-177,{} 1988.")) (|repSq| (((|Vector| |#1|) (|Vector| |#1|) (|NonNegativeInteger|)) "\\spad{repSq(v,{}e)} computes \\spad{v**e} by repeated squaring,{} interpreting \\spad{v} as an element of a normal basis field.")) (|dAndcExp| (((|Vector| |#1|) (|Vector| |#1|) (|NonNegativeInteger|) (|SingleInteger|)) "\\spad{dAndcExp(v,{}n,{}k)} computes \\spad{v**e} interpreting \\spad{v} as an element of normal basis field. A divide and conquer algorithm similar to the one from \\spad{D}.\\spad{R}.Stinson,{} \"Some observations on parallel Algorithms for fast exponentiation in \\spad{GF}(2^n)\",{} Siam \\spad{J}. Computation,{} Vol.19,{} No.4,{} \\spad{pp}.711-717,{} August 1990 is used. Argument \\spad{k} is a parameter of this algorithm.")) (|xn| (((|SparseUnivariatePolynomial| |#1|) (|NonNegativeInteger|)) "\\spad{xn(n)} returns the polynomial \\spad{x**n-1}.")) (|pol| (((|SparseUnivariatePolynomial| |#1|) (|Vector| |#1|)) "\\spad{pol(v)} turns the vector \\spad{[v0,{}...,{}vn]} into the polynomial \\spad{v0+v1*x+ ... + vn*x**n}.")) (|index| (((|Vector| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{index(n,{}m)} is a index function for vectors of length \\spad{n} over the ground field.")) (|random| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{random(n)} creates a vector over the ground field with random entries.")) (|setFieldInfo| (((|Void|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) |#1|) "\\spad{setFieldInfo(m,{}p)} initializes the field arithmetic,{} where \\spad{m} is the multiplication table and \\spad{p} is the respective normal element of the ground field \\spad{GF}."))) 
 NIL 
 NIL 
-(-533 R) 
+(-534 R) 
 ((|constructor| (NIL "This package provides operations to create incrementing functions.")) (|incrementBy| (((|Mapping| |#1| |#1|) |#1|) "\\spad{incrementBy(n)} produces a function which adds \\spad{n} to whatever argument it is given. For example,{} if {\\spad{f} \\spad{:=} increment(\\spad{n})} then \\spad{f x} is \\spad{x+n}.")) (|increment| (((|Mapping| |#1| |#1|)) "\\spad{increment()} produces a function which adds \\spad{1} to whatever argument it is given. For example,{} if {\\spad{f} \\spad{:=} increment()} then \\spad{f x} is \\spad{x+1}."))) 
 NIL 
 NIL 
-(-534 |Varset|) 
+(-535 |Varset|) 
 ((|constructor| (NIL "converts entire exponents to OutputForm"))) 
 NIL 
 NIL 
-(-535 K -1478 |Par|) 
+(-536 K -1564 |Par|) 
 ((|constructor| (NIL "This package is the inner package to be used by NumericRealEigenPackage and NumericComplexEigenPackage for the computation of numeric eigenvalues and eigenvectors.")) (|innerEigenvectors| (((|List| (|Record| (|:| |outval| |#2|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#2|))))) (|Matrix| |#1|) |#3| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|))) "\\spad{innerEigenvectors(m,{}eps,{}factor)} computes explicitly the eigenvalues and the correspondent eigenvectors of the matrix \\spad{m}. The parameter \\spad{eps} determines the type of the output,{} \\spad{factor} is the univariate factorizer to \\spad{br} used to reduce the characteristic polynomial into irreducible factors.")) (|solve1| (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{solve1(pol,{} eps)} finds the roots of the univariate polynomial polynomial \\spad{pol} to precision eps. If \\spad{K} is \\spad{Fraction Integer} then only the real roots are returned,{} if \\spad{K} is \\spad{Complex Fraction Integer} then all roots are found.")) (|charpol| (((|SparseUnivariatePolynomial| |#1|) (|Matrix| |#1|)) "\\spad{charpol(m)} computes the characteristic polynomial of a matrix \\spad{m} with entries in \\spad{K}. This function returns a polynomial over \\spad{K},{} while the general one (that is in EiegenPackage) returns Fraction \\spad{P} \\spad{K}"))) 
 NIL 
 NIL 
-(-536 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR BLMET) 
+(-537 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR BLMET) 
 ((|constructor| (NIL "This category is part of the PAFF package")) (|excpDivV| ((|#8| $) "\\spad{excpDivV returns} the exceptional divisor of the infinitly close point.")) (|chartV| ((|#9| $) "chartV is the chart of the infinitly close point. The first integer correspond to variable defining the exceptional line,{} the last one the affine neighboorhood and the second one is the remaining integer. For example [1,{}2,{}3] means that \\spad{Z=1},{} \\spad{X=X} and Y=XY. [2,{}3,{}1] means that \\spad{X=1},{} \\spad{Y=Y} and Z=YZ.")) (|multV| (((|NonNegativeInteger|) $) "\\spad{multV returns} the multiplicity of the infinitly close point.")) (|localPointV| (((|AffinePlane| |#1|) $) "\\spad{localPointV returns} the coordinates of the local infinitly close point")) (|curveV| (((|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) |#1|) $) "\\spad{curveV(p)} returns the defining polynomial of the strict transform on which lies the corresponding infinitly close point.")) (|pointV| ((|#5| $) "\\spad{pointV returns} the infinitly close point.")) (|create| (($ |#5| (|DistributedMultivariatePolynomial| (|construct| (QUOTE X) (QUOTE Y)) |#1|) (|AffinePlane| |#1|) (|NonNegativeInteger|) |#9| (|NonNegativeInteger|) |#8| |#1| (|Symbol|)) "\\spad{create an} infinitly close point"))) 
 NIL 
 NIL 
-(-537 K |symb| BLMET) 
+(-538 K |symb| BLMET) 
 ((|constructor| (NIL "This domain is part of the PAFF package")) (|fullOutput| (((|Boolean|)) "\\spad{fullOutput returns} the value of the flag set by fullOutput(\\spad{b}).") (((|Boolean|) (|Boolean|)) "\\spad{fullOutput(b)} sets a flag such that when \\spad{true},{} a coerce to OutputForm \\indented{1}{yields the full output of \\spad{tr},{} otherwise encode(\\spad{tr}) is output} (see encode function). The default is \\spad{false}.")) (|fullOut| (((|OutputForm|) $) "\\spad{fullOut(tr)} yields a full output of \\spad{tr} (see function fullOutput)."))) 
 NIL 
 NIL 
-(-538 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR BLMET) 
+(-539 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR BLMET) 
 ((|constructor| (NIL "This domain is part of the PAFF package")) (|fullOutput| (((|Boolean|)) "\\spad{fullOutput returns} the value of the flag set by fullOutput(\\spad{b}).") (((|Boolean|) (|Boolean|)) "\\spad{fullOutput(b)} sets a flag such that when \\spad{true},{} a coerce to OutputForm yields the full output of \\spad{tr},{} otherwise encode(\\spad{tr}) is output (see encode function). The default is \\spad{false}.")) (|fullOut| (((|OutputForm|) $) "\\spad{fullOut(tr)} yields a full output of \\spad{tr} (see function fullOutput)."))) 
 NIL 
 NIL 
-(-539) 
+(-540) 
 ((|constructor| (NIL "Top-level infinity Default infinity signatures for the interpreter.")) (|minusInfinity| (((|OrderedCompletion| (|Integer|))) "\\spad{minusInfinity()} returns minusInfinity.")) (|plusInfinity| (((|OrderedCompletion| (|Integer|))) "\\spad{plusInfinity()} returns plusIinfinity.")) (|infinity| (((|OnePointCompletion| (|Integer|))) "\\spad{infinity()} returns infinity."))) 
 NIL 
 NIL 
-(-540 R) 
+(-541 R) 
 ((|constructor| (NIL "Tools for manipulating input forms.")) (|interpret| ((|#1| (|InputForm|)) "\\spad{interpret(f)} passes \\spad{f} to the interpreter,{} and transforms the result into an object of type \\spad{R}.")) (|packageCall| (((|InputForm|) (|Symbol|)) "\\spad{packageCall(f)} returns the input form corresponding to \\spad{f}\\$\\spad{R}."))) 
 NIL 
 NIL 
-(-541) 
+(-542) 
 ((|constructor| (NIL "Domain of parsed forms which can be passed to the interpreter. This is also the interface between algebra code and facilities in the interpreter.")) (|compile| (((|Symbol|) (|Symbol|) (|List| $)) "\\spad{compile(f,{} [t1,{}...,{}tn])} forces the interpreter to compile the function \\spad{f} with signature \\spad{(t1,{}...,{}tn) -> ?}. returns the symbol \\spad{f} if successful. Error: if \\spad{f} was not defined beforehand in the interpreter,{} or if the \\spad{ti}\\spad{'s} are not valid types,{} or if the compiler fails.")) (|declare| (((|Symbol|) (|List| $)) "\\spad{declare(t)} returns a name \\spad{f} such that \\spad{f} has been declared to the interpreter to be of type \\spad{t},{} but has not been assigned a value yet. Note: \\spad{t} should be created as \\spad{devaluate(T)\\$Lisp} where \\spad{T} is the actual type of \\spad{f} (this hack is required for the case where \\spad{T} is a mapping type).")) (|parse| (($ (|String|)) "parse is the inverse of unparse. It parses a string to InputForm.")) (|unparse| (((|String|) $) "\\spad{unparse(f)} returns a string \\spad{s} such that the parser would transform \\spad{s} to \\spad{f}. Error: if \\spad{f} is not the parsed form of a string.")) (|flatten| (($ $) "\\spad{flatten(s)} returns an input form corresponding to \\spad{s} with all the nested operations flattened to triples using new local variables. If \\spad{s} is a piece of code,{} this speeds up the compilation tremendously later on.")) ((|One|) (($) "\\spad{1} returns the input form corresponding to 1.")) ((|Zero|) (($) "\\spad{0} returns the input form corresponding to 0.")) (** (($ $ (|Integer|)) "\\spad{a ** b} returns the input form corresponding to \\spad{a ** b}.") (($ $ (|NonNegativeInteger|)) "\\spad{a ** b} returns the input form corresponding to \\spad{a ** b}.")) (/ (($ $ $) "\\spad{a / b} returns the input form corresponding to \\spad{a / b}.")) (* (($ $ $) "\\spad{a * b} returns the input form corresponding to \\spad{a * b}.")) (+ (($ $ $) "\\spad{a + b} returns the input form corresponding to \\spad{a + b}.")) (|lambda| (($ $ (|List| (|Symbol|))) "\\spad{lambda(code,{} [x1,{}...,{}xn])} returns the input form corresponding to \\spad{(x1,{}...,{}xn) +-> code} if \\spad{n > 1},{} or to \\spad{x1 +-> code} if \\spad{n = 1}.")) (|function| (($ $ (|List| (|Symbol|)) (|Symbol|)) "\\spad{function(code,{} [x1,{}...,{}xn],{} f)} returns the input form corresponding to \\spad{f(x1,{}...,{}xn) == code}.")) (|binary| (($ $ (|List| $)) "\\indented{1}{\\spad{binary(op,{} [a1,{}...,{}an])} returns the input form} \\indented{1}{corresponding to\\space{2}\\spad{a1 op a2 op ... op an}.} \\blankline \\spad{X} a:=[1,{}2,{}3]::List(InputForm) \\spad{X} binary(_+::InputForm,{}a)")) (|convert| (($ (|SExpression|)) "\\spad{convert(s)} makes \\spad{s} into an input form.")) (|interpret| (((|Any|) $) "\\spad{interpret(f)} passes \\spad{f} to the interpreter."))) 
 NIL 
 NIL 
-(-542 |Coef| UTS) 
+(-543 |Coef| UTS) 
 ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an integral domain of characteristic 0.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),{}a,{}d)} computes \\spad{product(n=a,{}a+d,{}a+2*d,{}...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,{}3,{}5...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,{}4,{}6...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,{}2,{}3...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) 
 NIL 
 NIL 
-(-543 K -1478 |Par|) 
+(-544 K -1564 |Par|) 
 ((|constructor| (NIL "This is an internal package for computing approximate solutions to systems of polynomial equations. The parameter \\spad{K} specifies the coefficient field of the input polynomials and must be either \\spad{Fraction(Integer)} or \\spad{Complex(Fraction Integer)}. The parameter \\spad{F} specifies where the solutions must lie and can be one of the following: \\spad{Float},{} \\spad{Fraction(Integer)},{} \\spad{Complex(Float)},{} \\spad{Complex(Fraction Integer)}. The last parameter specifies the type of the precision operand and must be either \\spad{Fraction(Integer)} or \\spad{Float}.")) (|makeEq| (((|List| (|Equation| (|Polynomial| |#2|))) (|List| |#2|) (|List| (|Symbol|))) "\\spad{makeEq(lsol,{}lvar)} returns a list of equations formed by corresponding members of \\spad{lvar} and \\spad{lsol}.")) (|innerSolve| (((|List| (|List| |#2|)) (|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) |#3|) "\\spad{innerSolve(lnum,{}lden,{}lvar,{}eps)} returns a list of solutions of the system of polynomials \\spad{lnum},{} with the side condition that none of the members of \\spad{lden} vanish identically on any solution. Each solution is expressed as a list corresponding to the list of variables in \\spad{lvar} and with precision specified by \\spad{eps}.")) (|innerSolve1| (((|List| |#2|) (|Polynomial| |#1|) |#3|) "\\spad{innerSolve1(p,{}eps)} returns the list of the zeros of the polynomial \\spad{p} with precision \\spad{eps}.") (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{innerSolve1(up,{}eps)} returns the list of the zeros of the univariate polynomial \\spad{up} with precision \\spad{eps}."))) 
 NIL 
 NIL 
-(-544 R BP |pMod| |nextMod|) 
+(-545 R BP |pMod| |nextMod|) 
 ((|constructor| (NIL "This file contains the functions for modular \\spad{gcd} algorithm for univariate polynomials with coefficients in a non-trivial euclidean domain (\\spadignore{i.e.} not a field). The package parametrised by the coefficient domain,{} the polynomial domain,{} a prime,{} and a function for choosing the next prime")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(f,{}p)} reduces the coefficients of the polynomial \\spad{f} modulo the prime \\spad{p}.")) (|modularGcd| ((|#2| (|List| |#2|)) "\\spad{modularGcd(listf)} computes the \\spad{gcd} of the list of polynomials \\spad{listf} by modular methods.")) (|modularGcdPrimitive| ((|#2| (|List| |#2|)) "\\spad{modularGcdPrimitive(f1,{}f2)} computes the \\spad{gcd} of the two polynomials \\spad{f1} and \\spad{f2} by modular methods."))) 
 NIL 
 NIL 
-(-545 OV E R P) 
+(-546 OV E R P) 
 ((|constructor| (NIL "This is an inner package for factoring multivariate polynomials over various coefficient domains in characteristic 0. The univariate factor operation is passed as a parameter. Multivariate hensel lifting is used to lift the univariate factorization")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#3|)) (|SparseUnivariatePolynomial| |#3|))) "\\spad{factor(p,{}ufact)} factors the multivariate polynomial \\spad{p} by specializing variables and calling the univariate factorizer \\spad{ufact}. \\spad{p} is represented as a univariate polynomial with multivariate coefficients.") (((|Factored| |#4|) |#4| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#3|)) (|SparseUnivariatePolynomial| |#3|))) "\\spad{factor(p,{}ufact)} factors the multivariate polynomial \\spad{p} by specializing variables and calling the univariate factorizer \\spad{ufact}."))) 
 NIL 
 NIL 
-(-546 K UP |Coef| UTS) 
+(-547 K UP |Coef| UTS) 
 ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an arbitrary finite field.")) (|generalInfiniteProduct| ((|#4| |#4| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),{}a,{}d)} computes \\spad{product(n=a,{}a+d,{}a+2*d,{}...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#4| |#4|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,{}3,{}5...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#4| |#4|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,{}4,{}6...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#4| |#4|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,{}2,{}3...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) 
 NIL 
 NIL 
-(-547 |Coef| UTS) 
+(-548 |Coef| UTS) 
 ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over a field of prime order.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),{}a,{}d)} computes \\spad{product(n=a,{}a+d,{}a+2*d,{}...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,{}3,{}5...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,{}4,{}6...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,{}2,{}3...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) 
 NIL 
 NIL 
-(-548 R UP) 
+(-549 R UP) 
 ((|constructor| (NIL "Find the sign of a polynomial around a point or infinity.")) (|signAround| (((|Union| (|Integer|) "failed") |#2| |#1| (|Mapping| (|Union| (|Integer|) "failed") |#1|)) "\\spad{signAround(u,{}r,{}f)} \\undocumented") (((|Union| (|Integer|) "failed") |#2| |#1| (|Integer|) (|Mapping| (|Union| (|Integer|) "failed") |#1|)) "\\spad{signAround(u,{}r,{}i,{}f)} \\undocumented") (((|Union| (|Integer|) "failed") |#2| (|Integer|) (|Mapping| (|Union| (|Integer|) "failed") |#1|)) "\\spad{signAround(u,{}i,{}f)} \\undocumented"))) 
 NIL 
 NIL 
-(-549 S) 
+(-550 S) 
 ((|constructor| (NIL "An \\spad{IntegerNumberSystem} is a model for the integers.")) (|invmod| (($ $ $) "\\spad{invmod(a,{}b)},{} \\spad{0<=a1},{} \\spad{(a,{}b)=1} means \\spad{1/a mod b}.")) (|powmod| (($ $ $ $) "\\spad{powmod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a**b mod p}.")) (|mulmod| (($ $ $ $) "\\spad{mulmod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a*b mod p}.")) (|submod| (($ $ $ $) "\\spad{submod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a-b mod p}.")) (|addmod| (($ $ $ $) "\\spad{addmod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a+b mod p}.")) (|mask| (($ $) "\\spad{mask(n)} returns \\spad{2**n-1} (an \\spad{n} bit mask).")) (|dec| (($ $) "\\spad{dec(x)} returns \\spad{x - 1}.")) (|inc| (($ $) "\\spad{inc(x)} returns \\spad{x + 1}.")) (|copy| (($ $) "\\spad{copy(n)} gives a copy of \\spad{n}.")) (|hash| (($ $) "\\spad{hash(n)} returns the hash code of \\spad{n}.")) (|random| (($ $) "\\spad{random(a)} creates a random element from 0 to \\spad{n-1}.") (($) "\\spad{random()} creates a random element.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(n)} creates a rational number,{} or returns \"failed\" if this is not possible.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(n)} creates a rational number (see \\spadtype{Fraction Integer})..")) (|rational?| (((|Boolean|) $) "\\spad{rational?(n)} tests if \\spad{n} is a rational number (see \\spadtype{Fraction Integer}).")) (|symmetricRemainder| (($ $ $) "\\spad{symmetricRemainder(a,{}b)} (where \\spad{b > 1}) yields \\spad{r} where \\spad{ -b/2 <= r < b/2 }.")) (|positiveRemainder| (($ $ $) "\\spad{positiveRemainder(a,{}b)} (where \\spad{b > 1}) yields \\spad{r} where \\spad{0 <= r < b} and \\spad{r == a rem b}.")) (|bit?| (((|Boolean|) $ $) "\\spad{bit?(n,{}i)} returns \\spad{true} if and only if \\spad{i}-th bit of \\spad{n} is a 1.")) (|shift| (($ $ $) "\\spad{shift(a,{}i)} shift \\spad{a} by \\spad{i} digits.")) (|length| (($ $) "\\spad{length(a)} length of \\spad{a} in digits.")) (|base| (($) "\\spad{base()} returns the base for the operations of \\spad{IntegerNumberSystem}.")) (|multiplicativeValuation| ((|attribute|) "euclideanSize(a*b) returns \\spad{euclideanSize(a)*euclideanSize(b)}.")) (|even?| (((|Boolean|) $) "\\spad{even?(n)} returns \\spad{true} if and only if \\spad{n} is even.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(n)} returns \\spad{true} if and only if \\spad{n} is odd."))) 
 NIL 
 NIL 
-(-550) 
+(-551) 
 ((|constructor| (NIL "An \\spad{IntegerNumberSystem} is a model for the integers.")) (|invmod| (($ $ $) "\\spad{invmod(a,{}b)},{} \\spad{0<=a1},{} \\spad{(a,{}b)=1} means \\spad{1/a mod b}.")) (|powmod| (($ $ $ $) "\\spad{powmod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a**b mod p}.")) (|mulmod| (($ $ $ $) "\\spad{mulmod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a*b mod p}.")) (|submod| (($ $ $ $) "\\spad{submod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a-b mod p}.")) (|addmod| (($ $ $ $) "\\spad{addmod(a,{}b,{}p)},{} \\spad{0<=a,{}b
1},{} means \\spad{a+b mod p}.")) (|mask| (($ $) "\\spad{mask(n)} returns \\spad{2**n-1} (an \\spad{n} bit mask).")) (|dec| (($ $) "\\spad{dec(x)} returns \\spad{x - 1}.")) (|inc| (($ $) "\\spad{inc(x)} returns \\spad{x + 1}.")) (|copy| (($ $) "\\spad{copy(n)} gives a copy of \\spad{n}.")) (|hash| (($ $) "\\spad{hash(n)} returns the hash code of \\spad{n}.")) (|random| (($ $) "\\spad{random(a)} creates a random element from 0 to \\spad{n-1}.") (($) "\\spad{random()} creates a random element.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(n)} creates a rational number,{} or returns \"failed\" if this is not possible.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(n)} creates a rational number (see \\spadtype{Fraction Integer})..")) (|rational?| (((|Boolean|) $) "\\spad{rational?(n)} tests if \\spad{n} is a rational number (see \\spadtype{Fraction Integer}).")) (|symmetricRemainder| (($ $ $) "\\spad{symmetricRemainder(a,{}b)} (where \\spad{b > 1}) yields \\spad{r} where \\spad{ -b/2 <= r < b/2 }.")) (|positiveRemainder| (($ $ $) "\\spad{positiveRemainder(a,{}b)} (where \\spad{b > 1}) yields \\spad{r} where \\spad{0 <= r < b} and \\spad{r == a rem b}.")) (|bit?| (((|Boolean|) $ $) "\\spad{bit?(n,{}i)} returns \\spad{true} if and only if \\spad{i}-th bit of \\spad{n} is a 1.")) (|shift| (($ $ $) "\\spad{shift(a,{}i)} shift \\spad{a} by \\spad{i} digits.")) (|length| (($ $) "\\spad{length(a)} length of \\spad{a} in digits.")) (|base| (($) "\\spad{base()} returns the base for the operations of \\spad{IntegerNumberSystem}.")) (|multiplicativeValuation| ((|attribute|) "euclideanSize(a*b) returns \\spad{euclideanSize(a)*euclideanSize(b)}.")) (|even?| (((|Boolean|) $) "\\spad{even?(n)} returns \\spad{true} if and only if \\spad{n} is even.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(n)} returns \\spad{true} if and only if \\spad{n} is odd."))) 
-((-4519 . T) (-4520 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4533 . T) (-4534 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-551 |Key| |Entry| |addDom|) 
+(-552 |Key| |Entry| |addDom|) 
 ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090))))) 
-(-552 R -1478) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091))))) 
+(-553 R -1564) 
 ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f,{} x,{} y,{} d)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) 
 NIL 
 NIL 
-(-553 R0 -1478 UP UPUP R) 
+(-554 R0 -1564 UP UPUP R) 
 ((|constructor| (NIL "This package provides functions for integrating a function on an algebraic curve.")) (|palginfieldint| (((|Union| |#5| "failed") |#5| (|Mapping| |#3| |#3|)) "\\spad{palginfieldint(f,{} d)} returns an algebraic function \\spad{g} such that \\spad{dg = f} if such a \\spad{g} exists,{} \"failed\" otherwise. Argument \\spad{f} must be a pure algebraic function.")) (|palgintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{palgintegrate(f,{} d)} integrates \\spad{f} with respect to the derivation \\spad{d}. Argument \\spad{f} must be a pure algebraic function.")) (|algintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{algintegrate(f,{} d)} integrates \\spad{f} with respect to the derivation \\spad{d}."))) 
 NIL 
 NIL 
-(-554) 
+(-555) 
 ((|constructor| (NIL "This package provides functions to lookup bits in integers")) (|bitTruth| (((|Boolean|) (|Integer|) (|Integer|)) "\\spad{bitTruth(n,{}m)} returns \\spad{true} if coefficient of 2**m in abs(\\spad{n}) is 1")) (|bitCoef| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{bitCoef(n,{}m)} returns the coefficient of 2**m in abs(\\spad{n})")) (|bitLength| (((|Integer|) (|Integer|)) "\\spad{bitLength(n)} returns the number of bits to represent abs(\\spad{n})"))) 
 NIL 
 NIL 
-(-555 R) 
+(-556 R) 
 ((|constructor| (NIL "This category implements of interval arithmetic and transcendental functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,{}f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,{}sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,{}sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} \\spad{<=} \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise."))) 
-((-3999 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2994 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-556 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR |InfClsPoint| |DesTree| BLMET) 
+(-557 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR |InfClsPoint| |DesTree| BLMET) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|placesOfDegree| (((|Void|) (|PositiveInteger|) |#3| (|List| |#5|)) "\\spad{placesOfDegree(d,{} f,{} pts)} compute the places of degree dividing \\spad{d} of the curve \\spad{f}. \\spad{pts} should be the singular points of the curve \\spad{f}. For \\spad{d} > 1 this only works if \\spad{K} has \\axiomType{PseudoAlgebraicClosureOfFiniteFieldCategory}.")) (|intersectionDivisor| ((|#8| |#3| |#3| (|List| |#10|) (|List| |#5|)) "\\spad{intersectionDivisor(f,{}pol,{}listOfTree)} returns the intersection divisor of \\spad{f} with a curve defined by \\spad{pol}. \\spad{listOfTree} must contain all the desingularisation trees of all singular points on the curve \\indented{1}{defined by \\spad{pol}.}"))) 
 NIL 
 NIL 
-(-557 S) 
+(-558 S) 
 ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes\\spad{\\br} canonicalUnitNormal\\tab{5}the canonical field is the same for all associates\\spad{\\br} canonicalsClosed\\tab{5}the product of two canonicals is itself canonical")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,{}y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,{}c,{}a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,{}b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) 
 NIL 
 NIL 
-(-558) 
+(-559) 
 ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes\\spad{\\br} canonicalUnitNormal\\tab{5}the canonical field is the same for all associates\\spad{\\br} canonicalsClosed\\tab{5}the product of two canonicals is itself canonical")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,{}y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,{}c,{}a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,{}b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-559 R -1478) 
+(-560 R -1564) 
 ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elementary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,{}x,{}k,{}[k1,{}...,{}kn])} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f,{} x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f,{} x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,{}x,{}[g1,{}...,{}gn])} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} and \\spad{d(h+sum(\\spad{ci} log(\\spad{gi})))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f,{} x,{} g)} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise."))) 
 NIL 
 NIL 
-(-560 K |symb| E OV R) 
+(-561 K |symb| E OV R) 
 ((|constructor| (NIL "Part of the Package for Algebraic Function Fields in one variable PAFF"))) 
 NIL 
 NIL 
-(-561 I) 
+(-562 I) 
 ((|constructor| (NIL "This Package contains basic methods for integer factorization. The factor operation employs trial division up to 10,{}000. It then tests to see if \\spad{n} is a perfect power before using Pollards rho method. Because Pollards method may fail,{} the result of factor may contain composite factors. We should also employ Lenstra\\spad{'s} eliptic curve method.")) (|PollardSmallFactor| (((|Union| |#1| "failed") |#1|) "\\spad{PollardSmallFactor(n)} returns a factor of \\spad{n} or \"failed\" if no one is found")) (|BasicMethod| (((|Factored| |#1|) |#1|) "\\spad{BasicMethod(n)} returns the factorization of integer \\spad{n} by trial division")) (|squareFree| (((|Factored| |#1|) |#1|) "\\spad{squareFree(n)} returns the square free factorization of integer \\spad{n}")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(n)} returns the full factorization of integer \\spad{n}"))) 
 NIL 
 NIL 
-(-562 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR) 
+(-563 K |symb| |PolyRing| E |ProjPt| PCS |Plc| DIVISOR) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|interpolateForms| (((|List| |#3|) |#8| (|NonNegativeInteger|) |#3| (|List| |#3|)) "\\spad{interpolateForms(D,{}n,{}pol,{}base)} compute the basis of the sub-vector space \\spad{W} of \\spad{V} = ,{} such that for all \\spad{G} in \\spad{W},{} the divisor (\\spad{G}) \\spad{>=} \\spad{D}. All the elements in \\spad{base} must be homogeneous polynomial of degree \\spad{n}. Typicaly,{} \\spad{base} is the set of all monomial of degree \\spad{n:} in that case,{} interpolateForms(\\spad{D},{}\\spad{n},{}\\spad{pol},{}\\spad{base}) returns the basis of the vector space of all forms of degree \\spad{d} that interpolated \\spad{D}. The argument \\spad{pol} must be the same polynomial that defined the curve form which the divisor \\spad{D} is defined."))) 
 NIL 
 NIL 
-(-563) 
+(-564) 
 ((|constructor| (NIL "There is no description for this domain")) (|entry| (((|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{entry(n)} is not documented")) (|entries| (((|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) "\\spad{entries(x)} is not documented")) (|showAttributes| (((|Union| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showAttributes(x)} is not documented")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|fTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) "\\spad{fTable(l)} creates a functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(f)} returns the list of keys of \\spad{f}")) (|clearTheFTable| (((|Void|)) "\\spad{clearTheFTable()} clears the current table of functions.")) (|showTheFTable| (($) "\\spad{showTheFTable()} returns the current table of functions."))) 
 NIL 
 NIL 
-(-564 R -1478 L) 
+(-565 R -1564 L) 
 ((|constructor| (NIL "Rationalization of several types of genus 0 integrands; This internal package rationalises integrands on curves of the form:\\spad{\\br} \\tab{5}\\spad{y\\^2 = a x\\^2 + b x + c}\\spad{\\br} \\tab{5}\\spad{y\\^2 = (a x + b) / (c x + d)}\\spad{\\br} \\tab{5}\\spad{f(x,{} y) = 0} where \\spad{f} has degree 1 in \\spad{x}\\spad{\\br} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,{}g,{}x,{}y,{}z,{}t,{}c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op,{} g,{} x,{} y,{} d,{} p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,{}k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,{}k,{}f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,{}k,{}k,{}p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f,{} g,{} x,{} y,{} foo,{} t,{} c)} returns a function \\spad{z(x,{}y)} such that \\spad{dz/dx + n * df/dx z(x,{}y) = g(x,{}y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a,{} b,{} x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f,{} g,{} x,{} y,{} foo,{} d,{} p)} returns a function \\spad{z(x,{}y)} such that \\spad{dz/dx + n * df/dx z(x,{}y) = g(x,{}y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a,{} b,{} x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f,{} x,{} y,{} [u1,{}...,{}un],{} z,{} t,{} c)} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{ui})))/dx = f(x,{}y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f,{} x,{} y,{} [u1,{}...,{}un],{} d,{} p)} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{ui})))/dx = f(x,{}y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f,{} x,{} y,{} g,{} z,{} t,{} c)} returns functions \\spad{[h,{} d]} such that \\spad{dh/dx = f(x,{}y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,{}y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f,{} x,{} y,{} g,{} d,{} p)} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f(x,{}y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f,{} x,{} y,{} z,{} t,{} c)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,{}y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f,{} x,{} y,{} d,{} p)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}."))) 
 NIL 
-((|HasCategory| |#3| (LIST (QUOTE -646) (|devaluate| |#2|)))) 
-(-565) 
+((|HasCategory| |#3| (LIST (QUOTE -647) (|devaluate| |#2|)))) 
+(-566) 
 ((|constructor| (NIL "This package provides various number theoretic functions on the integers.")) (|sumOfKthPowerDivisors| (((|Integer|) (|Integer|) (|NonNegativeInteger|)) "\\spad{sumOfKthPowerDivisors(n,{}k)} returns the sum of the \\spad{k}th powers of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. the sum of the \\spad{k}th powers of the divisors of \\spad{n} is often denoted by \\spad{sigma_k(n)}.")) (|sumOfDivisors| (((|Integer|) (|Integer|)) "\\spad{sumOfDivisors(n)} returns the sum of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The sum of the divisors of \\spad{n} is often denoted by \\spad{sigma(n)}.")) (|numberOfDivisors| (((|Integer|) (|Integer|)) "\\spad{numberOfDivisors(n)} returns the number of integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The number of divisors of \\spad{n} is often denoted by \\spad{tau(n)}.")) (|moebiusMu| (((|Integer|) (|Integer|)) "\\spad{moebiusMu(n)} returns the Moebius function \\spad{mu(n)}. \\spad{mu(n)} is either \\spad{-1},{}0 or 1 as follows: \\spad{mu(n) = 0} if \\spad{n} is divisible by a square > 1,{} \\spad{mu(n) = (-1)^k} if \\spad{n} is square-free and has \\spad{k} distinct prime divisors.")) (|legendre| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{legendre(a,{}p)} returns the Legendre symbol \\spad{L(a/p)}. \\spad{L(a/p) = (-1)**((p-1)/2) mod p} (\\spad{p} prime),{} which is 0 if \\spad{a} is 0,{} 1 if \\spad{a} is a quadratic residue \\spad{mod p} and \\spad{-1} otherwise. Note that because the primality test is expensive,{} if it is known that \\spad{p} is prime then use \\spad{jacobi(a,{}p)}.")) (|jacobi| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{jacobi(a,{}b)} returns the Jacobi symbol \\spad{J(a/b)}. When \\spad{b} is odd,{} \\spad{J(a/b) = product(L(a/p) for p in factor b )}. Note that by convention,{} 0 is returned if \\spad{gcd(a,{}b) ^= 1}. Iterative \\spad{O(log(b)^2)} version coded by Michael Monagan June 1987.")) (|harmonic| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{harmonic(n)} returns the \\spad{n}th harmonic number. This is \\spad{H[n] = sum(1/k,{}k=1..n)}.")) (|fibonacci| (((|Integer|) (|Integer|)) "\\spad{fibonacci(n)} returns the \\spad{n}th Fibonacci number. the Fibonacci numbers \\spad{F[n]} are defined by \\spad{F[0] = F[1] = 1} and \\spad{F[n] = F[n-1] + F[n-2]}. The algorithm has running time \\spad{O(log(n)^3)}. Reference: Knuth,{} The Art of Computer Programming Vol 2,{} Semi-Numerical Algorithms.")) (|eulerPhi| (((|Integer|) (|Integer|)) "\\spad{eulerPhi(n)} returns the number of integers between 1 and \\spad{n} (including 1) which are relatively prime to \\spad{n}. This is the Euler phi function \\spad{\\phi(n)} is also called the totient function.")) (|euler| (((|Integer|) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler number. This is \\spad{2^n E(n,{}1/2)},{} where \\spad{E(n,{}x)} is the \\spad{n}th Euler polynomial.")) (|divisors| (((|List| (|Integer|)) (|Integer|)) "\\spad{divisors(n)} returns a list of the divisors of \\spad{n}.")) (|chineseRemainder| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{chineseRemainder(x1,{}m1,{}x2,{}m2)} returns \\spad{w},{} where \\spad{w} is such that \\spad{w = x1 mod m1} and \\spad{w = x2 mod m2}. Note that \\spad{m1} and \\spad{m2} must be relatively prime.")) (|bernoulli| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli number. this is \\spad{B(n,{}0)},{} where \\spad{B(n,{}x)} is the \\spad{n}th Bernoulli polynomial."))) 
 NIL 
 NIL 
-(-566 -1478 UP UPUP R) 
+(-567 -1564 UP UPUP R) 
 ((|constructor| (NIL "Algebraic Hermite reduction.")) (|HermiteIntegrate| (((|Record| (|:| |answer| |#4|) (|:| |logpart| |#4|)) |#4| (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f,{} ')} returns \\spad{[g,{}h]} such that \\spad{f = g' + h} and \\spad{h} has a only simple finite normal poles."))) 
 NIL 
 NIL 
-(-567 -1478 UP) 
+(-568 -1564 UP) 
 ((|constructor| (NIL "Hermite integration,{} transcendental case.")) (|HermiteIntegrate| (((|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |logpart| (|Fraction| |#2|)) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f,{} D)} returns \\spad{[g,{} h,{} s,{} p]} such that \\spad{f = Dg + h + s + p},{} \\spad{h} has a squarefree denominator normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. Furthermore,{} \\spad{h} and \\spad{s} have no polynomial parts. \\spad{D} is the derivation to use on \\spadtype{UP}."))) 
 NIL 
 NIL 
-(-568) 
+(-569) 
 ((|constructor| (NIL "\\spadtype{Integer} provides the domain of arbitrary precision integers.")) (|infinite| ((|attribute|) "nextItem never returns \"failed\".")) (|noetherian| ((|attribute|) "ascending chain condition on ideals.")) (|canonicalsClosed| ((|attribute|) "two positives multiply to give positive.")) (|canonical| ((|attribute|) "mathematical equality is data structure equality.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}."))) 
-((-4503 . T) (-4509 . T) (-4513 . T) (-4508 . T) (-4519 . T) (-4520 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4517 . T) (-4523 . T) (-4527 . T) (-4522 . T) (-4533 . T) (-4534 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-569) 
+(-570) 
 ((|constructor| (NIL "\\axiomType{AnnaNumericalIntegrationPackage} is a \\axiom{package} of functions for the \\axiom{category} \\axiomType{NumericalIntegrationCategory} with \\axiom{measure},{} and \\axiom{integrate}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,{}R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.")) (|integrate| (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|Symbol|)) "\\spad{integrate(exp,{} x = a..b,{} numerical)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used. \\blankline It is an error if the last argument is not {\\spad{\\tt} numerical}.") (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|String|)) "\\spad{integrate(exp,{} x = a..b,{} \"numerical\")} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used. \\blankline It is an error of the last argument is not {\\spad{\\tt} \"numerical\"}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...],{} epsabs,{} epsrel,{} routines)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy,{} using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|)) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...],{} epsabs,{} epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|)) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...],{} epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...])} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{integrate(exp,{} a..b)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|)) "\\spad{integrate(exp,{} a..b,{} epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|)) "\\spad{integrate(exp,{} a..b,{} epsabs,{} epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|NumericalIntegrationProblem|)) "\\spad{integrate(IntegrationProblem)} is a top level ANNA function to integrate an expression over a given range or ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp,{} a..b,{} epsrel,{} routines)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}."))) 
 NIL 
 NIL 
-(-570 R -1478 L) 
+(-571 R -1564 L) 
 ((|constructor| (NIL "Integration of pure algebraic functions; This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op,{} g,{} kx,{} y,{} x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp,{} f,{} g,{} x,{} y,{} foo)} returns a function \\spad{z(x,{}y)} such that \\spad{dz/dx + n * df/dx z(x,{}y) = g(x,{}y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a,{} b,{} x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f,{} x,{} y,{} [u1,{}...,{}un])} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{ui})))/dx = f(x,{}y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f,{} x,{} y,{} g)} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f(x,{}y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f,{} x,{} y)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x}."))) 
 NIL 
-((|HasCategory| |#3| (LIST (QUOTE -646) (|devaluate| |#2|)))) 
-(-571 R -1478) 
+((|HasCategory| |#3| (LIST (QUOTE -647) (|devaluate| |#2|)))) 
+(-572 R -1564) 
 ((|constructor| (NIL "\\spadtype{PatternMatchIntegration} provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the litterature.")) (|pmintegrate| (((|Union| |#2| "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{pmintegrate(f,{} x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b} if it can be found by the built-in pattern matching rules.") (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmintegrate(f,{} x)} returns either \"failed\" or \\spad{[g,{}h]} such that \\spad{integrate(f,{}x) = g + integrate(h,{}x)}.")) (|pmComplexintegrate| (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmComplexintegrate(f,{} x)} returns either \"failed\" or \\spad{[g,{}h]} such that \\spad{integrate(f,{}x) = g + integrate(h,{}x)}. It only looks for special complex integrals that pmintegrate does not return.")) (|splitConstant| (((|Record| (|:| |const| |#2|) (|:| |nconst| |#2|)) |#2| (|Symbol|)) "\\spad{splitConstant(f,{} x)} returns \\spad{[c,{} g]} such that \\spad{f = c * g} and \\spad{c} does not involve \\spad{t}."))) 
 NIL 
-((-12 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-1124)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-620))))) 
-(-572 -1478 UP) 
+((-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1125)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-621))))) 
+(-573 -1564 UP) 
 ((|constructor| (NIL "Rational function integration This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f,{} [g1,{}...,{}gn])} returns fractions \\spad{[h,{}[[\\spad{ci},{} \\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(\\spad{ci} log(\\spad{gi})))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f,{} g)} returns fractions \\spad{[h,{} c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h,{} c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}."))) 
 NIL 
 NIL 
-(-573 S) 
+(-574 S) 
 ((|constructor| (NIL "Provides integer testing and retraction functions.")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer."))) 
 NIL 
 NIL 
-(-574 -1478) 
+(-575 -1564) 
 ((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f,{} x,{} g)} returns fractions \\spad{[h,{} c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h,{} c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f,{} x,{} [g1,{}...,{}gn])} returns fractions \\spad{[h,{} [[\\spad{ci},{}\\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(\\spad{ci} log(\\spad{gi})))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f,{} x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f,{} x)} returns \\spad{g} such that \\spad{dg/dx = f}."))) 
 NIL 
 NIL 
-(-575 R) 
+(-576 R) 
 ((|constructor| (NIL "This domain is an implementation of interval arithmetic and transcendental functions over intervals."))) 
-((-3999 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2994 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-576) 
+(-577) 
 ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) 
 NIL 
 NIL 
-(-577 R -1478) 
+(-578 R -1564) 
 ((|constructor| (NIL "Tools for the integrator")) (|intPatternMatch| (((|IntegrationResult| |#2|) |#2| (|Symbol|) (|Mapping| (|IntegrationResult| |#2|) |#2| (|Symbol|)) (|Mapping| (|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|))) "\\spad{intPatternMatch(f,{} x,{} int,{} pmint)} tries to integrate \\spad{f} first by using the integration function \\spad{int},{} and then by using the pattern match intetgration function \\spad{pmint} on any remaining unintegrable part.")) (|mkPrim| ((|#2| |#2| (|Symbol|)) "\\spad{mkPrim(f,{} x)} makes the logs in \\spad{f} which are linear in \\spad{x} primitive with respect to \\spad{x}.")) (|removeConstantTerm| ((|#2| |#2| (|Symbol|)) "\\spad{removeConstantTerm(f,{} x)} returns \\spad{f} minus any additive constant with respect to \\spad{x}.")) (|vark| (((|List| (|Kernel| |#2|)) (|List| |#2|) (|Symbol|)) "\\spad{vark([f1,{}...,{}fn],{}x)} returns the set-theoretic union of \\spad{(varselect(f1,{}x),{}...,{}varselect(fn,{}x))}.")) (|union| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|))) "\\spad{union(l1,{} l2)} returns set-theoretic union of \\spad{l1} and \\spad{l2}.")) (|ksec| (((|Kernel| |#2|) (|Kernel| |#2|) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{ksec(k,{} [k1,{}...,{}kn],{} x)} returns the second top-level \\spad{ki} after \\spad{k} involving \\spad{x}.")) (|kmax| (((|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{kmax([k1,{}...,{}kn])} returns the top-level \\spad{ki} for integration.")) (|varselect| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{varselect([k1,{}...,{}kn],{} x)} returns the \\spad{ki} which involve \\spad{x}."))) 
 NIL 
-((-12 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-279))) (|HasCategory| |#2| (QUOTE (-620)))) (-12 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-279)))) (|HasCategory| |#1| (QUOTE (-558)))) 
-(-578 -1478 UP) 
+((-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-280))) (|HasCategory| |#2| (QUOTE (-621)))) (-12 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-280)))) (|HasCategory| |#1| (QUOTE (-559)))) 
+(-579 -1564 UP) 
 ((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p,{} ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f,{} ')} returns \\spad{[ir,{} s,{} p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p,{} foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p,{} ',{} t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f,{} ',{} [u1,{}...,{}un])} returns \\spad{[v,{} [c1,{}...,{}cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[\\spad{ci} * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f,{} ',{} g)} returns \\spad{[v,{} c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f,{} ',{} foo,{} [u1,{}...,{}un])} returns \\spad{[v,{} [c1,{}...,{}cn],{} a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,{}[\\spad{ci} * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f,{} ',{} foo,{} [u1,{}...,{}un])} returns \\spad{[v,{} [c1,{}...,{}cn],{} a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,{}[\\spad{ci} * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f,{} ',{} foo,{} g)} returns either \\spad{[v,{} c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f,{} ',{} foo,{} g)} returns either \\spad{[v,{} c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f,{} ',{} foo)} returns \\spad{[g,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f,{} ',{} foo)} returns \\spad{[g,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f,{} ',{} foo)} returns \\spad{[g,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}."))) 
 NIL 
 NIL 
-(-579 R -1478) 
+(-580 R -1564) 
 ((|constructor| (NIL "This package computes the inverse Laplace Transform.")) (|inverseLaplace| (((|Union| |#2| "failed") |#2| (|Symbol|) (|Symbol|)) "\\spad{inverseLaplace(f,{} s,{} t)} returns the Inverse Laplace transform of \\spad{f(s)} using \\spad{t} as the new variable or \"failed\" if unable to find a closed form. Handles only rational \\spad{f(s)}."))) 
 NIL 
 NIL 
-(-580 |p| |unBalanced?|) 
+(-581 |p| |unBalanced?|) 
 ((|constructor| (NIL "This domain implements \\spad{Zp},{} the \\spad{p}-adic completion of the integers. This is an internal domain."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-581 |p|) 
+(-582 |p|) 
 ((|constructor| (NIL "InnerPrimeField(\\spad{p}) implements the field with \\spad{p} elements."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| $ (QUOTE (-150))) (|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-370)))) 
-(-582) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| $ (QUOTE (-151))) (|HasCategory| $ (QUOTE (-149))) (|HasCategory| $ (QUOTE (-371)))) 
+(-583) 
 ((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor."))) 
 NIL 
 NIL 
-(-583 R -1478) 
+(-584 R -1564) 
 ((|constructor| (NIL "Conversion of integration results to top-level expressions This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexExpand| ((|#2| (|IntegrationResult| |#2|)) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| |#2|) (|IntegrationResult| |#2|)) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| |#2|) (|IntegrationResult| |#2|)) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,{}x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,{}x) + ... + sum_{Pn(a)=0} Q(a,{}x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}."))) 
 NIL 
 NIL 
-(-584 E -1478) 
+(-585 E -1564) 
 ((|constructor| (NIL "Internally used by the integration packages")) (|map| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |mainpart| |#1|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#1|) (|:| |logand| |#1|))))) "failed")) "\\spad{map(f,{}ufe)} \\undocumented") (((|Union| |#2| "failed") (|Mapping| |#2| |#1|) (|Union| |#1| "failed")) "\\spad{map(f,{}ue)} \\undocumented") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed")) "\\spad{map(f,{}ure)} \\undocumented") (((|IntegrationResult| |#2|) (|Mapping| |#2| |#1|) (|IntegrationResult| |#1|)) "\\spad{map(f,{}ire)} \\undocumented"))) 
 NIL 
 NIL 
-(-585 -1478) 
+(-586 -1564) 
 ((|constructor| (NIL "The result of a transcendental integration. If a function \\spad{f} has an elementary integral \\spad{g},{} then \\spad{g} can be written in the form \\spad{g = h + c1 log(u1) + c2 log(u2) + ... + cn log(un)} where \\spad{h},{} which is in the same field than \\spad{f},{} is called the rational part of the integral,{} and \\spad{c1 log(u1) + ... cn log(un)} is called the logarithmic part of the integral. This domain manipulates integrals represented in that form,{} by keeping both parts separately. The logs are not explicitly computed.")) (|differentiate| ((|#1| $ (|Symbol|)) "\\spad{differentiate(ir,{}x)} differentiates \\spad{ir} with respect to \\spad{x}") ((|#1| $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(ir,{}D)} differentiates \\spad{ir} with respect to the derivation \\spad{D}.")) (|integral| (($ |#1| (|Symbol|)) "\\spad{integral(f,{}x)} returns the formal integral of \\spad{f} with respect to \\spad{x}") (($ |#1| |#1|) "\\spad{integral(f,{}x)} returns the formal integral of \\spad{f} with respect to \\spad{x}")) (|elem?| (((|Boolean|) $) "\\spad{elem?(ir)} tests if an integration result is elementary over \\spad{F?}")) (|notelem| (((|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|))) $) "\\spad{notelem(ir)} returns the non-elementary part of an integration result")) (|logpart| (((|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) $) "\\spad{logpart(ir)} returns the logarithmic part of an integration result")) (|ratpart| ((|#1| $) "\\spad{ratpart(ir)} returns the rational part of an integration result")) (|mkAnswer| (($ |#1| (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) (|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|)))) "\\spad{mkAnswer(r,{}l,{}ne)} creates an integration result from a rational part \\spad{r},{} a logarithmic part \\spad{l},{} and a non-elementary part \\spad{ne}."))) 
-((-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-1161))))) 
-(-586 I) 
+((-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-1163))))) 
+(-587 I) 
 ((|constructor| (NIL "The \\spadtype{IntegerRoots} package computes square roots and \\spad{n}th roots of integers efficiently.")) (|approxSqrt| ((|#1| |#1|) "\\spad{approxSqrt(n)} returns an approximation \\spad{x} to \\spad{sqrt(n)} such that \\spad{-1 < x - sqrt(n) < 1}. Compute an approximation \\spad{s} to \\spad{sqrt(n)} such that \\indented{10}{\\spad{-1 < s - sqrt(n) < 1}} A variable precision Newton iteration is used. The running time is \\spad{O( log(n)**2 )}.")) (|perfectSqrt| (((|Union| |#1| "failed") |#1|) "\\spad{perfectSqrt(n)} returns the square root of \\spad{n} if \\spad{n} is a perfect square and returns \"failed\" otherwise")) (|perfectSquare?| (((|Boolean|) |#1|) "\\spad{perfectSquare?(n)} returns \\spad{true} if \\spad{n} is a perfect square and \\spad{false} otherwise")) (|approxNthRoot| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{approxRoot(n,{}r)} returns an approximation \\spad{x} to \\spad{n**(1/r)} such that \\spad{-1 < x - n**(1/r) < 1}")) (|perfectNthRoot| (((|Record| (|:| |base| |#1|) (|:| |exponent| (|NonNegativeInteger|))) |#1|) "\\spad{perfectNthRoot(n)} returns \\spad{[x,{}r]},{} where \\spad{n = x\\^r} and \\spad{r} is the largest integer such that \\spad{n} is a perfect \\spad{r}th power") (((|Union| |#1| "failed") |#1| (|NonNegativeInteger|)) "\\spad{perfectNthRoot(n,{}r)} returns the \\spad{r}th root of \\spad{n} if \\spad{n} is an \\spad{r}th power and returns \"failed\" otherwise")) (|perfectNthPower?| (((|Boolean|) |#1| (|NonNegativeInteger|)) "\\spad{perfectNthPower?(n,{}r)} returns \\spad{true} if \\spad{n} is an \\spad{r}th power and \\spad{false} otherwise"))) 
 NIL 
 NIL 
-(-587 GF) 
+(-588 GF) 
 ((|constructor| (NIL "This package exports the function generateIrredPoly that computes a monic irreducible polynomial of degree \\spad{n} over a finite field.")) (|generateIrredPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{generateIrredPoly(n)} generates an irreducible univariate polynomial of the given degree \\spad{n} over the finite field."))) 
 NIL 
 NIL 
-(-588 R) 
+(-589 R) 
 ((|constructor| (NIL "Conversion of integration results to top-level expressions. This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexIntegrate| (((|Expression| |#1|) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{complexIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|integrate| (((|Union| (|Expression| |#1|) (|List| (|Expression| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{integrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable..")) (|complexExpand| (((|Expression| |#1|) (|IntegrationResult| (|Fraction| (|Polynomial| |#1|)))) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| (|Expression| |#1|)) (|IntegrationResult| (|Fraction| (|Polynomial| |#1|)))) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|IntegrationResult| (|Fraction| (|Polynomial| |#1|)))) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,{}x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,{}x) + ... + sum_{Pn(a)=0} Q(a,{}x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-150)))) 
-(-589) 
+((|HasCategory| |#1| (QUOTE (-151)))) 
+(-590) 
 ((|constructor| (NIL "IrrRepSymNatPackage contains functions for computing the ordinary irreducible representations of symmetric groups on \\spad{n} letters {1,{}2,{}...,{}\\spad{n}} in Young\\spad{'s} natural form and their dimensions. These representations can be labelled by number partitions of \\spad{n},{} \\spadignore{i.e.} a weakly decreasing sequence of integers summing up to \\spad{n},{} \\spadignore{e.g.} [3,{}3,{}3,{}1] labels an irreducible representation for \\spad{n} equals 10. Note that whenever a \\spadtype{List Integer} appears in a signature,{} a partition required.")) (|irreducibleRepresentation| (((|List| (|Matrix| (|Integer|))) (|List| (|Integer|)) (|List| (|Permutation| (|Integer|)))) "\\spad{irreducibleRepresentation(lambda,{}listOfPerm)} is the list of the irreducible representations corresponding to \\spad{lambda} in Young\\spad{'s} natural form for the list of permutations given by \\spad{listOfPerm}.") (((|List| (|Matrix| (|Integer|))) (|List| (|Integer|))) "\\spad{irreducibleRepresentation(lambda)} is the list of the two irreducible representations corresponding to the partition \\spad{lambda} in Young\\spad{'s} natural form for the following two generators of the symmetric group,{} whose elements permute {1,{}2,{}...,{}\\spad{n}},{} namely (1 2) (2-cycle) and (1 2 ... \\spad{n}) (\\spad{n}-cycle).") (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|Permutation| (|Integer|))) "\\spad{irreducibleRepresentation(lambda,{}\\spad{pi})} is the irreducible representation corresponding to partition \\spad{lambda} in Young\\spad{'s} natural form of the permutation \\spad{pi} in the symmetric group,{} whose elements permute {1,{}2,{}...,{}\\spad{n}}.")) (|dimensionOfIrreducibleRepresentation| (((|NonNegativeInteger|) (|List| (|Integer|))) "\\spad{dimensionOfIrreducibleRepresentation(lambda)} is the dimension of the ordinary irreducible representation of the symmetric group corresponding to \\spad{lambda}. Note that the Robinson-Thrall hook formula is implemented."))) 
 NIL 
 NIL 
-(-590 R E V P TS) 
+(-591 R E V P TS) 
 ((|constructor| (NIL "An internal package for computing the rational univariate representation of a zero-dimensional algebraic variety given by a square-free triangular set. The main operation is rur")) (|checkRur| (((|Boolean|) |#5| (|List| |#5|)) "\\spad{checkRur(ts,{}lus)} returns \\spad{true} if \\spad{lus} is a rational univariate representation of \\spad{ts}.")) (|rur| (((|List| |#5|) |#5| (|Boolean|)) "\\spad{rur(ts,{}univ?)} returns a rational univariate representation of \\spad{ts}. This assumes that the lowest polynomial in \\spad{ts} is a variable \\spad{v} which does not occur in the other polynomials of \\spad{ts}. This variable will be used to define the simple algebraic extension over which these other polynomials will be rewritten as univariate polynomials with degree one. If \\spad{univ?} is \\spad{true} then these polynomials will have a constant initial."))) 
 NIL 
 NIL 
-(-591 |mn|) 
+(-592 |mn|) 
 ((|constructor| (NIL "This domain implements low-level strings")) (|hash| (((|Integer|) $) "\\spad{hash(x)} provides a hashing function for strings"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-147) (QUOTE (-1090))) (|HasCategory| (-147) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-147) (QUOTE (-842))) (-2199 (|HasCategory| (-147) (QUOTE (-842))) (|HasCategory| (-147) (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-842)))) (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-1090)))))) 
-(-592 E V R P) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-148) (QUOTE (-1091))) (|HasCategory| (-148) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-148) (QUOTE (-843))) (-2232 (|HasCategory| (-148) (QUOTE (-843))) (|HasCategory| (-148) (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-843)))) (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-1091)))))) 
+(-593 E V R P) 
 ((|constructor| (NIL "Tools for the summation packages of polynomials")) (|sum| (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2|) "\\spad{sum(p(n),{} n)} returns \\spad{P(n)},{} the indefinite sum of \\spad{p(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{P(n+1) - P(n) = a(n)}.") (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2| (|Segment| |#4|)) "\\spad{sum(p(n),{} n = a..b)} returns \\spad{p(a) + p(a+1) + ... + p(b)}."))) 
 NIL 
 NIL 
-(-593 |Coef|) 
-((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain used for creating sparse Taylor and Laurent series.")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,{}r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,{}r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,{}refer,{}var,{}cen,{}r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,{}g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,{}g,{}taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,{}f)} returns the series \\spad{sum(fn(n) * an * x^n,{}n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,{}n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,{}str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-568)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-568)) (|devaluate| |#1|))))) (|HasCategory| (-568) (QUOTE (-1102))) (|HasCategory| |#1| (QUOTE (-365))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-568))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161))))))) 
 (-594 |Coef|) 
+((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain used for creating sparse Taylor and Laurent series.")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,{}r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,{}r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,{}refer,{}var,{}cen,{}r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,{}g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,{}g,{}taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,{}f)} returns the series \\spad{sum(fn(n) * an * x^n,{}n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,{}n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,{}str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-569)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-569)) (|devaluate| |#1|))))) (|HasCategory| (-569) (QUOTE (-1103))) (|HasCategory| |#1| (QUOTE (-366))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-569))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163))))))) 
+(-595 |Coef|) 
 ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.") (($ $ |#1|) "\\spad{x*c} returns the product of \\spad{c} and the series \\spad{x}.") (($ |#1| $) "\\spad{c*x} returns the product of \\spad{c} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,{}n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) 
-((-4516 |has| |#1| (-558)) (-4515 |has| |#1| (-558)) ((-4523 "*") |has| |#1| (-558)) (-4514 |has| |#1| (-558)) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-558)))) 
-(-595 A B) 
+((-4530 |has| |#1| (-559)) (-4529 |has| |#1| (-559)) ((-4537 "*") |has| |#1| (-559)) (-4528 |has| |#1| (-559)) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-559)))) 
+(-596 A B) 
 ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|InfiniteTuple| |#2|) (|Mapping| |#2| |#1|) (|InfiniteTuple| |#1|)) "\\spad{map(f,{}[x0,{}x1,{}x2,{}...])} returns \\spad{[f(x0),{}f(x1),{}f(x2),{}..]}."))) 
 NIL 
 NIL 
-(-596 A B C) 
+(-597 A B C) 
 ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|Stream| |#2|)) "\\spad{map(f,{}a,{}b)} \\undocumented") (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,{}a,{}b)} \\undocumented") (((|InfiniteTuple| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,{}a,{}b)} \\undocumented"))) 
 NIL 
 NIL 
-(-597 R -1478 FG) 
+(-598 R -1564 FG) 
 ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f,{} [k1,{}...,{}kn],{} [x1,{}...,{}xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{\\spad{xi}'s} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{\\spad{ki}'s},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain."))) 
 NIL 
 NIL 
-(-598 S) 
+(-599 S) 
 ((|constructor| (NIL "This package implements 'infinite tuples' for the interpreter. The representation is a stream.")) (|construct| (((|Stream| |#1|) $) "\\spad{construct(t)} converts an infinite tuple to a stream.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,{}s)} returns \\spad{[s,{}f(s),{}f(f(s)),{}...]}.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(p,{}t)} returns \\spad{[x for x in t | p(x)]}.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,{}t)} returns \\spad{[x for x in t while not p(x)]}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,{}t)} returns \\spad{[x for x in t while p(x)]}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}t)} replaces the tuple \\spad{t} by \\spad{[f(x) for x in t]}."))) 
 NIL 
 NIL 
-(-599 R |mn|) 
+(-600 R |mn|) 
 ((|constructor| (NIL "This type represents vector like objects with varying lengths and a user-specified initial index."))) 
-((-4522 . T) (-4521 . T)) 
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-(-600 S |Index| |Entry|) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#1| (QUOTE (-1048))) (-12 (|HasCategory| |#1| (QUOTE (-1003))) (|HasCategory| |#1| (QUOTE (-1048)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-601 S |Index| |Entry|) 
 ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#2| |#2|) "\\spad{swap!(u,{}i,{}j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#3|) "\\spad{fill!(u,{}x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#3| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note that for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#2| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note that in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#2| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note that in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#3| $) "\\spad{entry?(x,{}u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#2|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order. to become indices:")) (|index?| (((|Boolean|) |#2| $) "\\spad{index?(i,{}u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#3|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) 
 NIL 
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-(-601 |Index| |Entry|) 
+((|HasAttribute| |#1| (QUOTE -4536)) (|HasCategory| |#2| (QUOTE (-843))) (|HasAttribute| |#1| (QUOTE -4535)) (|HasCategory| |#3| (QUOTE (-1091)))) 
+(-602 |Index| |Entry|) 
 ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#1| |#1|) "\\spad{swap!(u,{}i,{}j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#2|) "\\spad{fill!(u,{}x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#2| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note that for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#1| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note that in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#1| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note that in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#2| $) "\\spad{entry?(x,{}u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#1|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order. to become indices:")) (|index?| (((|Boolean|) |#1| $) "\\spad{index?(i,{}u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#2|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-602 R A) 
+(-603 R A) 
 ((|constructor| (NIL "AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2} (anticommutator). The usual notation \\spad{{a,{}b}_+} cannot be used due to restrictions in the current language. This domain only gives a Jordan algebra if the Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spadfun{jordanAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) 
-((-4518 -2199 (-2141 (|has| |#2| (-369 |#1|)) (|has| |#1| (-558))) (-12 (|has| |#2| (-419 |#1|)) (|has| |#1| (-558)))) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -369) (|devaluate| |#1|))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -369) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|)))) (-2199 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#2| (LIST (QUOTE -369) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|)))))) 
-(-603 |Entry|) 
+((-4532 -2232 (-2206 (|has| |#2| (-370 |#1|)) (|has| |#1| (-559))) (-12 (|has| |#2| (-420 |#1|)) (|has| |#1| (-559)))) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -370) (|devaluate| |#1|))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -370) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#2| (LIST (QUOTE -370) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|)))))) 
+(-604 |Entry|) 
 ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object. The KeyedAccessFile format is a directory containing a single file called ``index.kaf\\spad{''}. This file is a random access file. The first thing in the file is an integer which is the byte offset of an association list (the dictionary) at the end of the file. The association list is of the form ((key . byteoffset) (key . byteoffset)...) where the byte offset is the number of bytes from the beginning of the file. This offset contains an \\spad{s}-expression for the value of the key.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-1143) (QUOTE (-842))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (QUOTE (-1143))) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (QUOTE (-1090))))) 
-(-604 S |Key| |Entry|) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-1145) (QUOTE (-843))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (QUOTE (-1145))) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (QUOTE (-1091))))) 
+(-605 S |Key| |Entry|) 
 ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,{}t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,{}t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,{}t)} tests if \\spad{k} is a key in table \\spad{t}."))) 
 NIL 
 NIL 
-(-605 |Key| |Entry|) 
+(-606 |Key| |Entry|) 
 ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#2| "failed") |#1| $) "\\spad{search(k,{}t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#2| "failed") |#1| $) "\\spad{remove!(k,{}t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#1|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#1| $) "\\spad{key?(k,{}t)} tests if \\spad{k} is a key in table \\spad{t}."))) 
-((-4522 . T) (-3973 . T)) 
+((-4536 . T) (-2982 . T)) 
 NIL 
-(-606 R S) 
+(-607 R S) 
 ((|constructor| (NIL "This package exports some auxiliary functions on kernels")) (|constantIfCan| (((|Union| |#1| "failed") (|Kernel| |#2|)) "\\spad{constantIfCan(k)} \\undocumented")) (|constantKernel| (((|Kernel| |#2|) |#1|) "\\spad{constantKernel(r)} \\undocumented"))) 
 NIL 
 NIL 
-(-607 S) 
+(-608 S) 
 ((|constructor| (NIL "A kernel over a set \\spad{S} is an operator applied to a given list of arguments from \\spad{S}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op(a1,{}...,{}an),{} s)} tests if the name of op is \\spad{s}.") (((|Boolean|) $ (|BasicOperator|)) "\\spad{is?(op(a1,{}...,{}an),{} f)} tests if op = \\spad{f}.")) (|symbolIfCan| (((|Union| (|Symbol|) "failed") $) "\\spad{symbolIfCan(k)} returns \\spad{k} viewed as a symbol if \\spad{k} is a symbol,{} and \"failed\" otherwise.")) (|kernel| (($ (|Symbol|)) "\\spad{kernel(x)} returns \\spad{x} viewed as a kernel.") (($ (|BasicOperator|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{kernel(op,{} [a1,{}...,{}an],{} m)} returns the kernel \\spad{op(a1,{}...,{}an)} of nesting level \\spad{m}. Error: if \\spad{op} is \\spad{k}-ary for some \\spad{k} not equal to \\spad{m}.")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(k)} returns the nesting level of \\spad{k}.")) (|argument| (((|List| |#1|) $) "\\spad{argument(op(a1,{}...,{}an))} returns \\spad{[a1,{}...,{}an]}.")) (|operator| (((|BasicOperator|) $) "\\spad{operator(op(a1,{}...,{}an))} returns the operator op.")) (|name| (((|Symbol|) $) "\\spad{name(op(a1,{}...,{}an))} returns the name of op."))) 
 NIL 
-((|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) 
-(-608 S) 
+((|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) 
+(-609 S) 
 ((|constructor| (NIL "A is coercible to \\spad{B} means any element of A can automatically be converted into an element of \\spad{B} by the interpreter.")) (|coerce| ((|#1| $) "\\spad{coerce(a)} transforms a into an element of \\spad{S}."))) 
 NIL 
 NIL 
-(-609 S) 
+(-610 S) 
 ((|constructor| (NIL "A is convertible to \\spad{B} means any element of A can be converted into an element of \\spad{B},{} but not automatically by the interpreter.")) (|convert| ((|#1| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) 
 NIL 
 NIL 
-(-610 -1478 UP) 
+(-611 -1564 UP) 
 ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,{}a_1,{}a_2,{}ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{\\$a_2 y'' + a_1 y' + a0 y = 0\\$}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{kovacic(a_0,{}a_1,{}a_2)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{a_2 y'' + a_1 y' + a0 y = 0}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions."))) 
 NIL 
 NIL 
-(-611 S R) 
+(-612 S R) 
 ((|constructor| (NIL "The category of all left algebras over an arbitrary ring.")) (|coerce| (($ |#2|) "\\spad{coerce(r)} returns \\spad{r} * 1 where 1 is the identity of the left algebra."))) 
 NIL 
 NIL 
-(-612 R) 
+(-613 R) 
 ((|constructor| (NIL "The category of all left algebras over an arbitrary ring.")) (|coerce| (($ |#1|) "\\spad{coerce(r)} returns \\spad{r} * 1 where 1 is the identity of the left algebra."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-613 A R S) 
+(-614 A R S) 
 ((|constructor| (NIL "LocalAlgebra produces the localization of an algebra,{} \\spadignore{i.e.} fractions whose numerators come from some \\spad{R} algebra.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{a / d} divides the element \\spad{a} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-840)))) 
-(-614 R -1478) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-841)))) 
+(-615 R -1564) 
 ((|constructor| (NIL "This package computes the forward Laplace Transform.")) (|laplace| ((|#2| |#2| (|Symbol|) (|Symbol|)) "\\spad{laplace(f,{} t,{} s)} returns the Laplace transform of \\spad{f(t)} using \\spad{s} as the new variable. This is \\spad{integral(exp(-s*t)*f(t),{} t = 0..\\%plusInfinity)}. Returns the formal object \\spad{laplace(f,{} t,{} s)} if it cannot compute the transform."))) 
 NIL 
 NIL 
-(-615 R UP) 
+(-616 R UP) 
 ((|constructor| (NIL "Univariate polynomials with negative and positive exponents.")) (|separate| (((|Record| (|:| |polyPart| $) (|:| |fracPart| (|Fraction| |#2|))) (|Fraction| |#2|)) "\\spad{separate(x)} is not documented")) (|monomial| (($ |#1| (|Integer|)) "\\spad{monomial(x,{}n)} is not documented")) (|coefficient| ((|#1| $ (|Integer|)) "\\spad{coefficient(x,{}n)} is not documented")) (|trailingCoefficient| ((|#1| $) "trailingCoefficient is not documented")) (|leadingCoefficient| ((|#1| $) "leadingCoefficient is not documented")) (|reductum| (($ $) "\\spad{reductum(x)} is not documented")) (|order| (((|Integer|) $) "\\spad{order(x)} is not documented")) (|degree| (((|Integer|) $) "\\spad{degree(x)} is not documented")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} is not documented"))) 
-((-4516 . T) (-4515 . T) ((-4523 "*") . T) (-4514 . T) (-4518 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-225))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568))))) 
-(-616 R E V P TS ST) 
+((-4530 . T) (-4529 . T) ((-4537 "*") . T) (-4528 . T) (-4532 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-226))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569))))) 
+(-617 R E V P TS ST) 
 ((|constructor| (NIL "A package for solving polynomial systems by means of Lazard triangular sets. This package provides two operations. One for solving in the sense of the regular zeros,{} and the other for solving in the sense of the Zariski closure. Both produce square-free regular sets. Moreover,{} the decompositions do not contain any redundant component. However,{} only zero-dimensional regular sets are normalized,{} since normalization may be time consumming in positive dimension. The decomposition process is that of [2].")) (|zeroSetSplit| (((|List| |#6|) (|List| |#4|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}clos?)} has the same specifications as zeroSetSplit(\\spad{lp},{}clos?) from RegularTriangularSetCategory.")) (|normalizeIfCan| ((|#6| |#6|) "\\axiom{normalizeIfCan(\\spad{ts})} returns \\axiom{\\spad{ts}} in an normalized shape if \\axiom{\\spad{ts}} is zero-dimensional."))) 
 NIL 
 NIL 
-(-617 OV E Z P) 
+(-618 OV E Z P) 
 ((|constructor| (NIL "Package for leading coefficient determination in the lifting step. Package working for every \\spad{R} euclidean with property \\spad{\"F\"}.")) (|distFact| (((|Union| (|Record| (|:| |polfac| (|List| |#4|)) (|:| |correct| |#3|) (|:| |corrfact| (|List| (|SparseUnivariatePolynomial| |#3|)))) "failed") |#3| (|List| (|SparseUnivariatePolynomial| |#3|)) (|Record| (|:| |contp| |#3|) (|:| |factors| (|List| (|Record| (|:| |irr| |#4|) (|:| |pow| (|Integer|)))))) (|List| |#3|) (|List| |#1|) (|List| |#3|)) "\\spad{distFact(contm,{}unilist,{}plead,{}vl,{}lvar,{}lval)},{} where \\spad{contm} is the content of the evaluated polynomial,{} \\spad{unilist} is the list of factors of the evaluated polynomial,{} \\spad{plead} is the complete factorization of the leading coefficient,{} \\spad{vl} is the list of factors of the leading coefficient evaluated,{} \\spad{lvar} is the list of variables,{} \\spad{lval} is the list of values,{} returns a record giving the list of leading coefficients to impose on the univariate factors,{}")) (|polCase| (((|Boolean|) |#3| (|NonNegativeInteger|) (|List| |#3|)) "\\spad{polCase(contprod,{} numFacts,{} evallcs)},{} where \\spad{contprod} is the product of the content of the leading coefficient of the polynomial to be factored with the content of the evaluated polynomial,{} \\spad{numFacts} is the number of factors of the leadingCoefficient,{} and evallcs is the list of the evaluated factors of the leadingCoefficient,{} returns \\spad{true} if the factors of the leading Coefficient can be distributed with this valuation."))) 
 NIL 
 NIL 
-(-618 |VarSet| R |Order|) 
+(-619 |VarSet| R |Order|) 
 ((|constructor| (NIL "Management of the Lie Group associated with a free nilpotent Lie algebra. Every Lie bracket with length greater than \\axiom{Order} are assumed to be null. The implementation inherits from the \\spadtype{XPBWPolynomial} domain constructor: Lyndon coordinates are exponential coordinates of the second kind.")) (|identification| (((|List| (|Equation| |#2|)) $ $) "\\axiom{identification(\\spad{g},{}\\spad{h})} returns the list of equations \\axiom{g_i = h_i},{} where \\axiom{g_i} (resp. \\axiom{h_i}) are exponential coordinates of \\axiom{\\spad{g}} (resp. \\axiom{\\spad{h}}).")) (|LyndonCoordinates| (((|List| (|Record| (|:| |k| (|LyndonWord| |#1|)) (|:| |c| |#2|))) $) "\\axiom{LyndonCoordinates(\\spad{g})} returns the exponential coordinates of \\axiom{\\spad{g}}.")) (|LyndonBasis| (((|List| (|LiePolynomial| |#1| |#2|)) (|List| |#1|)) "\\axiom{LyndonBasis(\\spad{lv})} returns the Lyndon basis of the nilpotent free Lie algebra.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{g})} returns the list of variables of \\axiom{\\spad{g}}.")) (|mirror| (($ $) "\\axiom{mirror(\\spad{g})} is the mirror of the internal representation of \\axiom{\\spad{g}}.")) (|coerce| (((|XPBWPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{g})} returns the internal representation of \\axiom{\\spad{g}}.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{g})} returns the internal representation of \\axiom{\\spad{g}}.")) (|listOfTerms| (((|List| (|Record| (|:| |k| (|PoincareBirkhoffWittLyndonBasis| |#1|)) (|:| |c| |#2|))) $) "\\axiom{listOfTerms(\\spad{p})} returns the internal representation of \\axiom{\\spad{p}}.")) (|log| (((|LiePolynomial| |#1| |#2|) $) "\\axiom{log(\\spad{p})} returns the logarithm of \\axiom{\\spad{p}}.")) (|exp| (($ (|LiePolynomial| |#1| |#2|)) "\\axiom{exp(\\spad{p})} returns the exponential of \\axiom{\\spad{p}}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-619 R |ls|) 
+(-620 R |ls|) 
 ((|constructor| (NIL "A package for solving polynomial systems with finitely many solutions. The decompositions are given by means of regular triangular sets. The computations use lexicographical Groebner bases. The main operations are lexTriangular and squareFreeLexTriangular. The second one provide decompositions by means of square-free regular triangular sets. Both are based on the lexTriangular method described in [1]. They differ from the algorithm described in [2] by the fact that multiciplities of the roots are not kept. With the squareFreeLexTriangular operation all multiciplities are removed. With the other operation some multiciplities may remain. Both operations admit an optional argument to produce normalized triangular sets.")) (|zeroSetSplit| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#2|)) (|OrderedVariableList| |#2|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{} norm?)} decomposes the variety associated with \\axiom{\\spad{lp}} into square-free regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{\\spad{lp}} needs to generate a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.") (((|List| (|RegularChain| |#1| |#2|)) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{} norm?)} decomposes the variety associated with \\axiom{\\spad{lp}} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{\\spad{lp}} needs to generate a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|squareFreeLexTriangular| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#2|)) (|OrderedVariableList| |#2|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{squareFreeLexTriangular(base,{} norm?)} decomposes the variety associated with \\axiom{base} into square-free regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{base} needs to be a lexicographical Groebner basis of a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|lexTriangular| (((|List| (|RegularChain| |#1| |#2|)) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{lexTriangular(base,{} norm?)} decomposes the variety associated with \\axiom{base} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{base} needs to be a lexicographical Groebner basis of a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|groebner| (((|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{groebner(\\spad{lp})} returns the lexicographical Groebner basis of \\axiom{\\spad{lp}}. If \\axiom{\\spad{lp}} generates a zero-dimensional ideal then the FGLM strategy is used,{} otherwise the Sugar strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) "failed") (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{fglmIfCan(\\spad{lp})} returns the lexicographical Groebner basis of \\axiom{\\spad{lp}} by using the FGLM strategy,{} if \\axiom{zeroDimensional?(\\spad{lp})} holds .")) (|zeroDimensional?| (((|Boolean|) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{zeroDimensional?(\\spad{lp})} returns \\spad{true} iff \\axiom{\\spad{lp}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables involved in \\axiom{\\spad{lp}}."))) 
 NIL 
 NIL 
-(-620) 
+(-621) 
 ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|fresnelC| (($ $) "fresnelC is the Fresnel integral \\spad{C},{} defined by \\spad{C}(\\spad{x}) = integrate(cos(\\spad{t^2}),{}\\spad{t=0}..\\spad{x})")) (|fresnelS| (($ $) "fresnelS is the Fresnel integral \\spad{S},{} defined by \\spad{S}(\\spad{x}) = integrate(sin(\\spad{t^2}),{}\\spad{t=0}..\\spad{x})")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%\\spad{pi})} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{\\spad{li}(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{\\spad{Ci}(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{\\spad{Si}(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{\\spad{Ei}(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) 
 NIL 
 NIL 
-(-621 R -1478) 
+(-622 R -1564) 
 ((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,{}x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,{}x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|fresnelC| ((|#2| |#2|) "\\spad{fresnelC(f)} denotes the Fresnel integral \\spad{C}")) (|fresnelS| ((|#2| |#2|) "\\spad{fresnelS(f)} denotes the Fresnel integral \\spad{S}")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{\\spad{li}(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{\\spad{Ci}(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{\\spad{Si}(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{\\spad{Ei}(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian"))) 
 NIL 
 NIL 
-(-622 |lv| -1478) 
+(-623 |lv| -1564) 
 ((|constructor| (NIL "Given a Groebner basis \\spad{B} with respect to the total degree ordering for a zero-dimensional ideal \\spad{I},{} compute a Groebner basis with respect to the lexicographical ordering by using linear algebra.")) (|transform| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{transform }\\undocumented")) (|choosemon| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{choosemon }\\undocumented")) (|intcompBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{intcompBasis }\\undocumented")) (|anticoord| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|List| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{anticoord }\\undocumented")) (|coord| (((|Vector| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{coord }\\undocumented")) (|computeBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{computeBasis }\\undocumented")) (|minPol| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented") (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented")) (|totolex| (((|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{totolex }\\undocumented")) (|groebgen| (((|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |glval| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{groebgen }\\undocumented")) (|linGenPos| (((|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |gvlist| (|List| (|Integer|)))) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{linGenPos }\\undocumented"))) 
 NIL 
 NIL 
-(-623) 
+(-624) 
 ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|close!| (($ $) "\\spad{close!(f)} returns the library \\spad{f} closed to input and output.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|elt| (((|Any|) $ (|Symbol|)) "\\spad{elt(lib,{}k)} or \\spad{lib}.\\spad{k} extracts the value corresponding to the key \\spad{k} from the library \\spad{lib}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) 
-((-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 (-57))) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-1143) (QUOTE (-842))) (|HasCategory| (-57) (QUOTE (-1090))) (-12 (|HasCategory| (-57) (LIST (QUOTE -303) (QUOTE (-57)))) (|HasCategory| (-57) (QUOTE (-1090)))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 (-57))) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 (-57))) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (QUOTE (-1143))) (LIST (QUOTE |:|) (QUOTE -4085) (QUOTE (-57)))))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 (-57))) (QUOTE (-1090)))) (-2199 (|HasCategory| (-57) (QUOTE (-1090))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 (-57))) (QUOTE (-1090))))) 
-(-624 S R) 
+((-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 (-57))) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-1145) (QUOTE (-843))) (|HasCategory| (-57) (QUOTE (-1091))) (-12 (|HasCategory| (-57) (LIST (QUOTE -304) (QUOTE (-57)))) (|HasCategory| (-57) (QUOTE (-1091)))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 (-57))) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 (-57))) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (QUOTE (-1145))) (LIST (QUOTE |:|) (QUOTE -3782) (QUOTE (-57)))))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 (-57))) (QUOTE (-1091)))) (-2232 (|HasCategory| (-57) (QUOTE (-1091))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 (-57))) (QUOTE (-1091))))) 
+(-625 S R) 
 ((|constructor| (NIL "The category of Lie Algebras. It is used by the domains of non-commutative algebra,{} LiePolynomial and XPBWPolynomial.")) (/ (($ $ |#2|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-365)))) 
-(-625 R) 
+((|HasCategory| |#2| (QUOTE (-366)))) 
+(-626 R) 
 ((|constructor| (NIL "The category of Lie Algebras. It is used by the domains of non-commutative algebra,{} LiePolynomial and XPBWPolynomial.")) (/ (($ $ |#1|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) 
-((|JacobiIdentity| . T) (|NullSquare| . T) (-4516 . T) (-4515 . T)) 
+((|JacobiIdentity| . T) (|NullSquare| . T) (-4530 . T) (-4529 . T)) 
 NIL 
-(-626 R A) 
+(-627 R A) 
 ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,{}b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) 
-((-4518 -2199 (-2141 (|has| |#2| (-369 |#1|)) (|has| |#1| (-558))) (-12 (|has| |#2| (-419 |#1|)) (|has| |#1| (-558)))) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -369) (|devaluate| |#1|))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -369) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|)))) (-2199 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#2| (LIST (QUOTE -369) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#2| (LIST (QUOTE -419) (|devaluate| |#1|)))))) 
-(-627 R FE) 
+((-4532 -2232 (-2206 (|has| |#2| (-370 |#1|)) (|has| |#1| (-559))) (-12 (|has| |#2| (-420 |#1|)) (|has| |#1| (-559)))) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -370) (|devaluate| |#1|))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -370) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#2| (LIST (QUOTE -370) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#2| (LIST (QUOTE -420) (|devaluate| |#1|)))))) 
+(-628 R FE) 
 ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),{}x = a)} computes the complex limit \\spad{lim(x -> a,{}f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),{}x=a,{}\"left\")} computes the left hand real limit \\spad{lim(x -> a-,{}f(x))}; \\spad{limit(f(x),{}x=a,{}\"right\")} computes the right hand real limit \\spad{lim(x -> a+,{}f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),{}x = a)} computes the real limit \\spad{lim(x -> a,{}f(x))}."))) 
 NIL 
 NIL 
-(-628 R) 
+(-629 R) 
 ((|constructor| (NIL "Computation of limits for rational functions.")) (|complexLimit| (((|OnePointCompletion| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Equation| (|Fraction| (|Polynomial| |#1|)))) "\\spad{complexLimit(f(x),{}x = a)} computes the complex limit of \\spad{f} as its argument \\spad{x} approaches \\spad{a}.") (((|OnePointCompletion| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Equation| (|OnePointCompletion| (|Polynomial| |#1|)))) "\\spad{complexLimit(f(x),{}x = a)} computes the complex limit of \\spad{f} as its argument \\spad{x} approaches \\spad{a}.")) (|limit| (((|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Equation| (|Fraction| (|Polynomial| |#1|))) (|String|)) "\\spad{limit(f(x),{}x,{}a,{}\"left\")} computes the real limit of \\spad{f} as its argument \\spad{x} approaches \\spad{a} from the left; limit(\\spad{f}(\\spad{x}),{}\\spad{x},{}a,{}\"right\") computes the corresponding limit as \\spad{x} approaches \\spad{a} from the right.") (((|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) "failed"))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Equation| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limit(f(x),{}x = a)} computes the real two-sided limit of \\spad{f} as its argument \\spad{x} approaches \\spad{a}.") (((|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|))) "failed"))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Equation| (|OrderedCompletion| (|Polynomial| |#1|)))) "\\spad{limit(f(x),{}x = a)} computes the real two-sided limit of \\spad{f} as its argument \\spad{x} approaches \\spad{a}."))) 
 NIL 
 NIL 
-(-629 S R) 
+(-630 S R) 
 ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,{}...,{}vn])} returns \\spad{[c1,{}...,{}cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,{}...,{}vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365))) (-3046 (|HasCategory| |#1| (QUOTE (-365))))) 
-(-630 R) 
+((|HasCategory| |#1| (QUOTE (-366))) (-3864 (|HasCategory| |#1| (QUOTE (-366))))) 
+(-631 R) 
 ((|constructor| (NIL "An extension ring with an explicit linear dependence test.")) (|reducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| $) (|Vector| $)) "\\spad{reducedSystem(A,{} v)} returns a matrix \\spad{B} and a vector \\spad{w} such that \\spad{A x = v} and \\spad{B x = w} have the same solutions in \\spad{R}.") (((|Matrix| |#1|) (|Matrix| $)) "\\spad{reducedSystem(A)} returns a matrix \\spad{B} such that \\spad{A x = 0} and \\spad{B x = 0} have the same solutions in \\spad{R}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-631 A B) 
+(-632 A B) 
 ((|constructor| (NIL "\\spadtype{ListToMap} allows mappings to be described by a pair of lists of equal lengths. The image of an element \\spad{x},{} which appears in position \\spad{n} in the first list,{} is then the \\spad{n}th element of the second list. A default value or default function can be specified to be used when \\spad{x} does not appear in the first list. In the absence of defaults,{} an error will occur in that case.")) (|match| ((|#2| (|List| |#1|) (|List| |#2|) |#1| (|Mapping| |#2| |#1|)) "\\spad{match(la,{} lb,{} a,{} f)} creates a map defined by lists \\spad{la} and \\spad{lb} of equal length. and applies this map to a. The target of a source value \\spad{x} in \\spad{la} is the value \\spad{y} with the same index \\spad{lb}. Argument \\spad{f} is a default function to call if a is not in \\spad{la}. The value returned is then obtained by applying \\spad{f} to argument a.") (((|Mapping| |#2| |#1|) (|List| |#1|) (|List| |#2|) (|Mapping| |#2| |#1|)) "\\spad{match(la,{} lb,{} f)} creates a map defined by lists \\spad{la} and \\spad{lb} of equal length. The target of a source value \\spad{x} in \\spad{la} is the value \\spad{y} with the same index \\spad{lb}. Argument \\spad{f} is used as the function to call when the given function argument is not in \\spad{la}. The value returned is \\spad{f} applied to that argument.") ((|#2| (|List| |#1|) (|List| |#2|) |#1| |#2|) "\\spad{match(la,{} lb,{} a,{} b)} creates a map defined by lists \\spad{la} and \\spad{lb} of equal length. and applies this map to a. The target of a source value \\spad{x} in \\spad{la} is the value \\spad{y} with the same index \\spad{lb}. Argument \\spad{b} is the default target value if a is not in \\spad{la}. Error: if \\spad{la} and \\spad{lb} are not of equal length.") (((|Mapping| |#2| |#1|) (|List| |#1|) (|List| |#2|) |#2|) "\\spad{match(la,{} lb,{} b)} creates a map defined by lists \\spad{la} and \\spad{lb} of equal length,{} where \\spad{b} is used as the default target value if the given function argument is not in \\spad{la}. The target of a source value \\spad{x} in \\spad{la} is the value \\spad{y} with the same index \\spad{lb}. Error: if \\spad{la} and \\spad{lb} are not of equal length.") ((|#2| (|List| |#1|) (|List| |#2|) |#1|) "\\spad{match(la,{} lb,{} a)} creates a map defined by lists \\spad{la} and \\spad{lb} of equal length,{} where \\spad{a} is used as the default source value if the given one is not in \\spad{la}. The target of a source value \\spad{x} in \\spad{la} is the value \\spad{y} with the same index \\spad{lb}. Error: if \\spad{la} and \\spad{lb} are not of equal length.") (((|Mapping| |#2| |#1|) (|List| |#1|) (|List| |#2|)) "\\spad{match(la,{} lb)} creates a map with no default source or target values defined by lists \\spad{la} and \\spad{lb} of equal length. The target of a source value \\spad{x} in \\spad{la} is the value \\spad{y} with the same index \\spad{lb}. Error: if \\spad{la} and \\spad{lb} are not of equal length. Note that when this map is applied,{} an error occurs when applied to a value missing from \\spad{la}."))) 
 NIL 
 NIL 
-(-632 A B) 
+(-633 A B) 
 ((|constructor| (NIL "\\spadtype{ListFunctions2} implements utility functions that operate on two kinds of lists,{} each with a possibly different type of element.")) (|map| (((|List| |#2|) (|Mapping| |#2| |#1|) (|List| |#1|)) "\\spad{map(fn,{}u)} applies \\spad{fn} to each element of list \\spad{u} and returns a new list with the results. For example \\spad{map(square,{}[1,{}2,{}3]) = [1,{}4,{}9]}.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|List| |#1|) |#2|) "\\spad{reduce(fn,{}u,{}ident)} successively uses the binary function \\spad{fn} on the elements of list \\spad{u} and the result of previous applications. \\spad{ident} is returned if the \\spad{u} is empty. Note the order of application in the following examples: \\spad{reduce(fn,{}[1,{}2,{}3],{}0) = fn(3,{}fn(2,{}fn(1,{}0)))} and \\spad{reduce(*,{}[2,{}3],{}1) = 3 * (2 * 1)}.")) (|scan| (((|List| |#2|) (|Mapping| |#2| |#1| |#2|) (|List| |#1|) |#2|) "\\spad{scan(fn,{}u,{}ident)} successively uses the binary function \\spad{fn} to reduce more and more of list \\spad{u}. \\spad{ident} is returned if the \\spad{u} is empty. The result is a list of the reductions at each step. See \\spadfun{reduce} for more information. Examples: \\spad{scan(fn,{}[1,{}2],{}0) = [fn(2,{}fn(1,{}0)),{}fn(1,{}0)]} and \\spad{scan(*,{}[2,{}3],{}1) = [2 * 1,{} 3 * (2 * 1)]}."))) 
 NIL 
 NIL 
-(-633 A B C) 
+(-634 A B C) 
 ((|constructor| (NIL "\\spadtype{ListFunctions3} implements utility functions that operate on three kinds of lists,{} each with a possibly different type of element.")) (|map| (((|List| |#3|) (|Mapping| |#3| |#1| |#2|) (|List| |#1|) (|List| |#2|)) "\\spad{map(fn,{}list1,{} u2)} applies the binary function \\spad{fn} to corresponding elements of lists \\spad{u1} and \\spad{u2} and returns a list of the results (in the same order). Thus \\spad{map(/,{}[1,{}2,{}3],{}[4,{}5,{}6]) = [1/4,{}2/4,{}1/2]}. The computation terminates when the end of either list is reached. That is,{} the length of the result list is equal to the minimum of the lengths of \\spad{u1} and \\spad{u2}."))) 
 NIL 
 NIL 
-(-634 S) 
+(-635 S) 
 ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,{}u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,{}u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,{}u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,{}u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#1| $) "\\spad{cons(element,{}u)} appends \\spad{element} onto the front of list \\spad{u} and returns the new list. This new list and the old one will share some structure.")) (|null| (((|Boolean|) $) "\\spad{null(u)} tests if list \\spad{u} is the empty list.")) (|nil| (($) "\\spad{nil()} returns the empty list."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-823))) (|HasCategory| (-568) (QUOTE (-842))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-635 K PCS) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-824))) (|HasCategory| (-569) (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-636 K PCS) 
 ((|constructor| (NIL "Part of the PAFF package")) (|finiteSeries2LinSys| (((|Matrix| |#1|) (|List| |#2|) (|Integer|)) "\\spad{finiteSeries2LinSys(ls,{}n)} returns a matrix which right kernel is the solution of the linear combinations of the series in \\spad{ls} which has order greater or equal to \\spad{n}. NOTE: All the series in \\spad{ls} must be finite and must have order at least 0: so one must first call on each of them the function filterUpTo(\\spad{s},{}\\spad{n}) and apply an appropriate shift (mult by a power of \\spad{t})."))) 
 NIL 
 NIL 
-(-636 S) 
+(-637 S) 
 ((|constructor| (NIL "The \\spadtype{ListMultiDictionary} domain implements a dictionary with duplicates allowed. The representation is a list with duplicates represented explicitly. Hence most operations will be relatively inefficient when the number of entries in the dictionary becomes large. If the objects in the dictionary belong to an ordered set,{} the entries are maintained in ascending order.")) (|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,{}y,{}d)} replace \\spad{x}\\spad{'s} with \\spad{y}\\spad{'s} in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541))))) 
-(-637 R) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542))))) 
+(-638 R) 
 ((|constructor| (NIL "The category of left modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the \\spad{rng}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{ (a*b)*x = a*(b*x) }\\spad{\\br} \\tab{5}\\spad{ (a+b)*x = (a*x)+(b*x) }\\spad{\\br} \\tab{5}\\spad{ a*(x+y) = (a*x)+(a*y) }")) (* (($ |#1| $) "\\spad{r*x} returns the left multiplication of the module element \\spad{x} by the ring element \\spad{r}."))) 
 NIL 
 NIL 
-(-638 S E |un|) 
+(-639 S E |un|) 
 ((|constructor| (NIL "This internal package represents monoid (abelian or not,{} with or without inverses) as lists and provides some common operations to the various flavors of monoids.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f,{} a1\\^e1 ... an\\^en)} returns \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (|mapExpon| (($ (|Mapping| |#2| |#2|) $) "\\spad{mapExpon(f,{} a1\\^e1 ... an\\^en)} returns \\spad{a1\\^f(e1) ... an\\^f(en)}.")) (|commutativeEquality| (((|Boolean|) $ $) "\\spad{commutativeEquality(x,{}y)} returns \\spad{true} if \\spad{x} and \\spad{y} are equal assuming commutativity")) (|plus| (($ $ $) "\\spad{plus(x,{} y)} returns \\spad{x + y} where \\spad{+} is the monoid operation,{} which is assumed commutative.") (($ |#1| |#2| $) "\\spad{plus(s,{} e,{} x)} returns \\spad{e * s + x} where \\spad{+} is the monoid operation,{} which is assumed commutative.")) (|leftMult| (($ |#1| $) "\\spad{leftMult(s,{} a)} returns \\spad{s * a} where \\spad{*} is the monoid operation,{} which is assumed non-commutative.")) (|rightMult| (($ $ |#1|) "\\spad{rightMult(a,{} s)} returns \\spad{a * s} where \\spad{*} is the monoid operation,{} which is assumed non-commutative.")) (|makeUnit| (($) "\\spad{makeUnit()} returns the unit element of the monomial.")) (|size| (((|NonNegativeInteger|) $) "\\spad{size(l)} returns the number of monomials forming \\spad{l}.")) (|reverse!| (($ $) "\\spad{reverse!(l)} reverses the list of monomials forming \\spad{l},{} destroying the element \\spad{l}.")) (|reverse| (($ $) "\\spad{reverse(l)} reverses the list of monomials forming \\spad{l}. This has some effect if the monoid is non-abelian,{} \\spadignore{i.e.} \\spad{reverse(a1\\^e1 ... an\\^en) = an\\^en ... a1\\^e1} which is different.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(l,{} n)} returns the factor of the n^th monomial of \\spad{l}.")) (|nthExpon| ((|#2| $ (|Integer|)) "\\spad{nthExpon(l,{} n)} returns the exponent of the n^th monomial of \\spad{l}.")) (|makeMulti| (($ (|List| (|Record| (|:| |gen| |#1|) (|:| |exp| |#2|)))) "\\spad{makeMulti(l)} returns the element whose list of monomials is \\spad{l}.")) (|makeTerm| (($ |#1| |#2|) "\\spad{makeTerm(s,{} e)} returns the monomial \\spad{s} exponentiated by \\spad{e} (\\spadignore{e.g.} s^e or \\spad{e} * \\spad{s}).")) (|listOfMonoms| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| |#2|))) $) "\\spad{listOfMonoms(l)} returns the list of the monomials forming \\spad{l}.")) (|outputForm| (((|OutputForm|) $ (|Mapping| (|OutputForm|) (|OutputForm|) (|OutputForm|)) (|Mapping| (|OutputForm|) (|OutputForm|) (|OutputForm|)) (|Integer|)) "\\spad{outputForm(l,{} fop,{} fexp,{} unit)} converts the monoid element represented by \\spad{l} to an \\spadtype{OutputForm}. Argument unit is the output form for the \\spadignore{unit} of the monoid (\\spadignore{e.g.} 0 or 1),{} \\spad{fop(a,{} b)} is the output form for the monoid operation applied to \\spad{a} and \\spad{b} (\\spadignore{e.g.} \\spad{a + b},{} \\spad{a * b},{} \\spad{ab}),{} and \\spad{fexp(a,{} n)} is the output form for the exponentiation operation applied to \\spad{a} and \\spad{n} (\\spadignore{e.g.} \\spad{n a},{} \\spad{n * a},{} \\spad{a ** n},{} \\spad{a\\^n})."))) 
 NIL 
 NIL 
-(-639 A S) 
+(-640 A S) 
 ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#2| $ (|UniversalSegment| (|Integer|)) |#2|) "\\spad{setelt(u,{}i..j,{}x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note that \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,{}u,{}k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note that \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#2| $ (|Integer|)) "\\spad{insert(x,{}u,{}i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note that \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,{}i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note that \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,{}i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note that for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|elt| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{elt(u,{}i..j)} (also written: \\axiom{a(\\spad{i}..\\spad{j})}) returns the aggregate of elements \\axiom{\\spad{u}} for \\spad{k} from \\spad{i} to \\spad{j} in that order. Note that in general,{} \\axiom{a.\\spad{s} = [a.\\spad{k} for \\spad{i} in \\spad{s}]}.")) (|map| (($ (|Mapping| |#2| |#2| |#2|) $ $) "\\spad{map(f,{}u,{}v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note that for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note that \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note that if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#2| $) "\\spad{concat(x,{}u)} returns aggregate \\spad{u} with additional element at the front. Note that for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#2|) "\\spad{concat(u,{}x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note that for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#2|) "\\spad{new(n,{}x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4522))) 
-(-640 S) 
+((|HasAttribute| |#1| (QUOTE -4536))) 
+(-641 S) 
 ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,{}i..j,{}x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note that \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,{}u,{}k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note that \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,{}u,{}i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note that \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,{}i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note that \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,{}i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note that for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|elt| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{elt(u,{}i..j)} (also written: \\axiom{a(\\spad{i}..\\spad{j})}) returns the aggregate of elements \\axiom{\\spad{u}} for \\spad{k} from \\spad{i} to \\spad{j} in that order. Note that in general,{} \\axiom{a.\\spad{s} = [a.\\spad{k} for \\spad{i} in \\spad{s}]}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,{}u,{}v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note that for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note that \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note that if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,{}u)} returns aggregate \\spad{u} with additional element at the front. Note that for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,{}x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note that for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,{}x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-641 K) 
+(-642 K) 
 ((|printInfo| (((|Boolean|)) "returns the value of the \\spad{printInfo} flag.") (((|Boolean|) (|Boolean|)) "\\spad{printInfo(b)} set a flag such that when \\spad{true} (\\spad{b} \\spad{<-} \\spad{true}) prints some information during some critical computation.")) (|coefOfFirstNonZeroTerm| ((|#1| $) "\\spad{coefOfFirstNonZeroTerm(s)} returns the first non zero coefficient of the series.")) (|filterUpTo| (($ $ (|Integer|)) "\\spad{filterUpTo(s,{}n)} returns the series consisting of the terms of \\spad{s} having degree strictly less than \\spad{n}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(s,{}n)} returns t**n * \\spad{s}")) (|series| (($ (|Integer|) |#1| $) "\\spad{series(e,{}c,{}s)} create the series c*t**e + \\spad{s}.")) (|removeZeroes| (($ $) "\\spad{removeZeroes(s)} removes the zero terms in \\spad{s}.") (($ (|Integer|) $) "\\spad{removeZeroes(n,{}s)} removes the zero terms in the first \\spad{n} terms of \\spad{s}.")) (|monomial2series| (($ (|List| $) (|List| (|NonNegativeInteger|)) (|Integer|)) "\\spad{monomial2series(ls,{}le,{}n)} returns t**n * reduce(\\spad{\"*\"},{}[\\spad{s} \\spad{**} \\spad{e} for \\spad{s} in \\spad{ls} for \\spad{e} in \\spad{le}])")) (|delay| (($ (|Mapping| $)) "\\spad{delay delayed} the computation of the next term of the series given by the input function.")) (|posExpnPart| (($ $) "\\spad{posExpnPart(s)} returns the series \\spad{s} less the terms with negative exponant.")) (|order| (((|Integer|) $) "\\spad{order(s)} returns the order of \\spad{s}."))) 
-(((-4523 "*") . T) (-4514 . T) (-4513 . T) (-4519 . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") . T) (-4528 . T) (-4527 . T) (-4533 . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-642 R -1478 L) 
+(-643 R -1564 L) 
 ((|constructor| (NIL "\\spad{ElementaryFunctionLODESolver} provides the top-level functions for finding closed form solutions of linear ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#3| |#2| (|Symbol|) |#2| (|List| |#2|)) "\\spad{solve(op,{} g,{} x,{} a,{} [y0,{}...,{}ym])} returns either the solution of the initial value problem \\spad{op y = g,{} y(a) = y0,{} y'(a) = y1,{}...} or \"failed\" if the solution cannot be found; \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) "failed") |#3| |#2| (|Symbol|)) "\\spad{solve(op,{} g,{} x)} returns either a solution of the ordinary differential equation \\spad{op y = g} or \"failed\" if no non-trivial solution can be found; When found,{} the solution is returned in the form \\spad{[h,{} [b1,{}...,{}bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,{}...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{op y = 0}. A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; \\spad{x} is the dependent variable."))) 
 NIL 
 NIL 
-(-643 A) 
+(-644 A) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator1} defines a ring of differential operators with coefficients in a differential ring A. Multiplication of operators corresponds to functional composition:\\spad{\\br} \\spad{(L1 * L2).(f) = L1 L2 f}"))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-644 A M) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-645 A M) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator2} defines a ring of differential operators with coefficients in a differential ring A and acting on an A-module \\spad{M}. Multiplication of operators corresponds to functional composition:\\spad{\\br} \\spad{(L1 * L2).(f) = L1 L2 f}")) (|differentiate| (($ $) "\\spad{differentiate(x)} returns the derivative of \\spad{x}"))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-645 S A) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-646 S A) 
 ((|constructor| (NIL "LinearOrdinaryDifferentialOperatorCategory is the category of differential operators with coefficients in a ring A with a given derivation. \\blankline Multiplication of operators corresponds to functional composition:\\spad{\\br} (\\spad{L1} * \\spad{L2}).(\\spad{f}) = \\spad{L1} \\spad{L2} \\spad{f}")) (|directSum| (($ $ $) "\\spad{directSum(a,{}b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,{}a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,{}n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,{}b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-365)))) 
-(-646 A) 
+((|HasCategory| |#2| (QUOTE (-366)))) 
+(-647 A) 
 ((|constructor| (NIL "LinearOrdinaryDifferentialOperatorCategory is the category of differential operators with coefficients in a ring A with a given derivation. \\blankline Multiplication of operators corresponds to functional composition:\\spad{\\br} (\\spad{L1} * \\spad{L2}).(\\spad{f}) = \\spad{L1} \\spad{L2} \\spad{f}")) (|directSum| (($ $ $) "\\spad{directSum(a,{}b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,{}a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,{}n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,{}b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-647 -1478 UP) 
+(-648 -1564 UP) 
 ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a,{} zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-27)))) 
-(-648 A -1571) 
+(-649 A -4477) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator} defines a ring of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition:\\spad{\\br} \\spad{(L1 * L2).(f) = L1 L2 f}"))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-649 A L) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-650 A L) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorsOps} provides symmetric products and sums for linear ordinary differential operators.")) (|directSum| ((|#2| |#2| |#2| (|Mapping| |#1| |#1|)) "\\spad{directSum(a,{}b,{}D)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}. \\spad{D} is the derivation to use.")) (|symmetricPower| ((|#2| |#2| (|NonNegativeInteger|) (|Mapping| |#1| |#1|)) "\\spad{symmetricPower(a,{}n,{}D)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}. \\spad{D} is the derivation to use.")) (|symmetricProduct| ((|#2| |#2| |#2| (|Mapping| |#1| |#1|)) "\\spad{symmetricProduct(a,{}b,{}D)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
-(-650 S) 
+(-651 S) 
 ((|constructor| (NIL "`Logic' provides the basic operations for lattices,{} \\spadignore{e.g.} boolean algebra.")) (|\\/| (($ $ $) "\\spadignore{ \\/ } returns the logical `join',{} \\spadignore{e.g.} `or'.")) (|/\\| (($ $ $) "\\spadignore { /\\ }returns the logical `meet',{} \\spadignore{e.g.} `and'.")) (~ (($ $) "\\spad{~(x)} returns the logical complement of \\spad{x}."))) 
 NIL 
 NIL 
-(-651) 
+(-652) 
 ((|constructor| (NIL "`Logic' provides the basic operations for lattices,{} \\spadignore{e.g.} boolean algebra.")) (|\\/| (($ $ $) "\\spadignore{ \\/ } returns the logical `join',{} \\spadignore{e.g.} `or'.")) (|/\\| (($ $ $) "\\spadignore { /\\ }returns the logical `meet',{} \\spadignore{e.g.} `and'.")) (~ (($ $) "\\spad{~(x)} returns the logical complement of \\spad{x}."))) 
 NIL 
 NIL 
-(-652 M R S) 
+(-653 M R S) 
 ((|constructor| (NIL "Localize(\\spad{M},{}\\spad{R},{}\\spad{S}) produces fractions with numerators from an \\spad{R} module \\spad{M} and denominators from some multiplicative subset \\spad{D} of \\spad{R}.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{m / d} divides the element \\spad{m} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) 
-((-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (QUOTE (-786)))) 
-(-653 K) 
+((-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (QUOTE (-787)))) 
+(-654 K) 
 ((|constructor| (NIL "A package that exports several linear algebra operations over lines of matrices. Part of the PAFF package.")) (|reduceRowOnList| (((|List| (|List| |#1|)) (|List| |#1|) (|List| (|List| |#1|))) "\\spad{reduceRowOnList(v,{}lvec)} applies a row reduction on each of the element of \\spad{lv} using \\spad{v} according to a pivot in \\spad{v} which is set to be the first non nul element in \\spad{v}.")) (|reduceLineOverLine| (((|List| |#1|) (|List| |#1|) (|List| |#1|) |#1|) "\\spad{reduceLineOverLine(v1,{}v2,{}a)} returns \\spad{v1}-\\spad{a*v1} where \\indented{1}{\\spad{v1} and \\spad{v2} are considered as vector space.}")) (|quotVecSpaceBasis| (((|List| (|List| |#1|)) (|List| (|List| |#1|)) (|List| (|List| |#1|))) "\\spad{quotVecSpaceBasis(b1,{}b2)} returns a basis of \\spad{V1/V2} where \\spad{V1} and \\spad{V2} are vector space with basis \\spad{b1} and \\spad{b2} resp. and \\spad{V2} is suppose to be include in \\spad{V1}; Note that if it is not the case then it returs the basis of V1/W where \\spad{W} = intersection of \\spad{V1} and \\spad{V2}")) (|reduceRow| (((|List| (|List| |#1|)) (|List| (|List| |#1|))) "reduceRow: if the input is considered as a matrix,{} the output would be the row reduction matrix. It\\spad{'s} almost the rowEchelon form except that no permution of lines is performed."))) 
 NIL 
 NIL 
-(-654 K |symb| |PolyRing| E |ProjPt| PCS |Plc|) 
+(-655 K |symb| |PolyRing| E |ProjPt| PCS |Plc|) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|localize| (((|Record| (|:| |fnc| |#3|) (|:| |crv| |#3|) (|:| |chart| (|List| (|Integer|)))) |#3| |#5| |#3| (|Integer|)) "\\spad{localize(f,{}pt,{}crv,{}n)} returns a record containing the polynomials \\spad{f} and \\spad{crv} translate to the origin with respect to \\spad{pt}. The last element of the records,{} consisting of three integers contains information about the local parameter that will be used (either \\spad{x} or \\spad{y}): the first integer correspond to the variable that will be used as a local parameter.")) (|pointDominateBy| ((|#5| |#7|) "\\spad{pointDominateBy(pl)} returns the projective point dominated by the place \\spad{pl}.")) (|localParamOfSimplePt| (((|List| |#6|) |#5| |#3| (|Integer|)) "\\spad{localParamOfSimplePt(pt,{}pol,{}n)} computes the local parametrization of the simple point \\spad{pt} on the curve defined by \\spad{pol}. This local parametrization is done according to the standard open affine plane set by \\spad{n}")) (|pointToPlace| ((|#7| |#5| |#3|) "\\spad{pointToPlace(pt,{}pol)} takes for input a simple point \\spad{pt} on the curve defined by \\spad{pol} and set the local parametrization of the point.")) (|printInfo| (((|Boolean|)) "returns the value of the \\spad{printInfo} flag.") (((|Boolean|) (|Boolean|)) "\\spad{printInfo(b)} set a flag such that when \\spad{true} (\\spad{b} \\spad{<-} \\spad{true}) prints some information during some critical computation."))) 
 NIL 
 NIL 
-(-655 R) 
+(-656 R) 
 ((|constructor| (NIL "Given a PolynomialFactorizationExplicit ring,{} this package provides a defaulting rule for the \\spad{solveLinearPolynomialEquation} operation,{} by moving into the field of fractions,{} and solving it there via the \\spad{multiEuclidean} operation.")) (|solveLinearPolynomialEquationByFractions| (((|Union| (|List| (|SparseUnivariatePolynomial| |#1|)) "failed") (|List| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{solveLinearPolynomialEquationByFractions([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such exists."))) 
 NIL 
 NIL 
-(-656 |VarSet| R) 
+(-657 |VarSet| R) 
 ((|constructor| (NIL "This type supports Lie polynomials in Lyndon basis see Free Lie Algebras by \\spad{C}. Reutenauer (Oxford science publications).")) (|construct| (($ $ (|LyndonWord| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket \\axiom{[\\spad{x},{}\\spad{y}]}.") (($ (|LyndonWord| |#1|) $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket \\axiom{[\\spad{x},{}\\spad{y}]}.") (($ (|LyndonWord| |#1|) (|LyndonWord| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket \\axiom{[\\spad{x},{}\\spad{y}]}.")) (|LiePolyIfCan| (((|Union| $ "failed") (|XDistributedPolynomial| |#1| |#2|)) "\\axiom{LiePolyIfCan(\\spad{p})} returns \\axiom{\\spad{p}} in Lyndon basis if \\axiom{\\spad{p}} is a Lie polynomial,{} otherwise \\axiom{\"failed\"} is returned."))) 
-((|JacobiIdentity| . T) (|NullSquare| . T) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-172)))) 
-(-657 A S) 
+((|JacobiIdentity| . T) (|NullSquare| . T) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-173)))) 
+(-658 A S) 
 ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#2|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) 
 NIL 
 NIL 
-(-658 S) 
+(-659 S) 
 ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#1|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-659 -1478) 
+(-660 -1564) 
 ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,{}B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,{}B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,{}B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) 
 NIL 
 NIL 
-(-660 -1478 |Row| |Col| M) 
+(-661 -1564 |Row| |Col| M) 
 ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}.")) (|rank| (((|NonNegativeInteger|) |#4| |#3|) "\\spad{rank(A,{}B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) |#4| |#3|) "\\spad{hasSolution?(A,{}B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| |#3| "failed") |#4| |#3|) "\\spad{particularSolution(A,{}B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|)))) |#4| (|List| |#3|)) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) 
 NIL 
 NIL 
-(-661 R E OV P) 
+(-662 R E OV P) 
 ((|constructor| (NIL "This package finds the solutions of linear systems presented as a list of polynomials.")) (|linSolve| (((|Record| (|:| |particular| (|Union| (|Vector| (|Fraction| |#4|)) "failed")) (|:| |basis| (|List| (|Vector| (|Fraction| |#4|))))) (|List| |#4|) (|List| |#3|)) "\\spad{linSolve(lp,{}lvar)} finds the solutions of the linear system of polynomials \\spad{lp} = 0 with respect to the list of symbols \\spad{lvar}."))) 
 NIL 
 NIL 
-(-662 |n| R) 
+(-663 |n| R) 
 ((|constructor| (NIL "LieSquareMatrix(\\spad{n},{}\\spad{R}) implements the Lie algebra of the \\spad{n} by \\spad{n} matrices over the commutative ring \\spad{R}. The Lie bracket (commutator) of the algebra is given by\\spad{\\br} \\spad{a*b := (a *\\$SQMATRIX(n,{}R) b - b *\\$SQMATRIX(n,{}R) a)},{}\\spad{\\br} where \\spadfun{*\\$SQMATRIX(\\spad{n},{}\\spad{R})} is the usual matrix multiplication."))) 
-((-4518 . T) (-4521 . T) (-4515 . T) (-4516 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-225))) (|HasAttribute| |#2| (QUOTE (-4523 "*"))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-301))) (|HasCategory| |#2| (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-558))) (-2199 (|HasAttribute| |#2| (QUOTE (-4523 "*"))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-225)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-225)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090))))) (|HasCategory| |#2| (QUOTE (-172)))) 
-(-663 |VarSet|) 
+((-4532 . T) (-4535 . T) (-4529 . T) (-4530 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-226))) (|HasAttribute| |#2| (QUOTE (-4537 "*"))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-302))) (|HasCategory| |#2| (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-559))) (-2232 (|HasAttribute| |#2| (QUOTE (-4537 "*"))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091))))) (|HasCategory| |#2| (QUOTE (-173)))) 
+(-664 |VarSet|) 
 ((|constructor| (NIL "Lyndon words over arbitrary (ordered) symbols: see Free Lie Algebras by \\spad{C}. Reutenauer (Oxford science publications). A Lyndon word is a word which is smaller than any of its right factors \\spad{w}.\\spad{r}.\\spad{t}. the pure lexicographical ordering. If \\axiom{a} and \\axiom{\\spad{b}} are two Lyndon words such that \\axiom{a < \\spad{b}} holds \\spad{w}.\\spad{r}.\\spad{t} lexicographical ordering then \\axiom{a*b} is a Lyndon word. Parenthesized Lyndon words can be generated from symbols by using the following rule:\\spad{\\br} \\axiom{[[a,{}\\spad{b}],{}\\spad{c}]} is a Lyndon word iff \\axiom{a*b < \\spad{c} \\spad{<=} \\spad{b}} holds.\\spad{\\br} Lyndon words are internally represented by binary trees using the \\spadtype{Magma} domain constructor. Two ordering are provided: lexicographic and length-lexicographic.")) (|LyndonWordsList| (((|List| $) (|List| |#1|) (|PositiveInteger|)) "\\axiom{LyndonWordsList(\\spad{vl},{} \\spad{n})} returns the list of Lyndon words over the alphabet \\axiom{\\spad{vl}},{} up to order \\axiom{\\spad{n}}.")) (|LyndonWordsList1| (((|OneDimensionalArray| (|List| $)) (|List| |#1|) (|PositiveInteger|)) "\\axiom{\\spad{LyndonWordsList1}(\\spad{vl},{} \\spad{n})} returns an array of lists of Lyndon words over the alphabet \\axiom{\\spad{vl}},{} up to order \\axiom{\\spad{n}}.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{x})} returns the list of distinct entries of \\axiom{\\spad{x}}.")) (|lyndonIfCan| (((|Union| $ "failed") (|OrderedFreeMonoid| |#1|)) "\\axiom{lyndonIfCan(\\spad{w})} convert \\axiom{\\spad{w}} into a Lyndon word.")) (|lyndon| (($ (|OrderedFreeMonoid| |#1|)) "\\axiom{lyndon(\\spad{w})} convert \\axiom{\\spad{w}} into a Lyndon word,{} error if \\axiom{\\spad{w}} is not a Lyndon word.")) (|lyndon?| (((|Boolean|) (|OrderedFreeMonoid| |#1|)) "\\axiom{lyndon?(\\spad{w})} test if \\axiom{\\spad{w}} is a Lyndon word.")) (|factor| (((|List| $) (|OrderedFreeMonoid| |#1|)) "\\axiom{factor(\\spad{x})} returns the decreasing factorization into Lyndon words.")) (|coerce| (((|Magma| |#1|) $) "\\axiom{coerce(\\spad{x})} returns the element of \\axiomType{Magma}(VarSet) corresponding to \\axiom{\\spad{x}}.") (((|OrderedFreeMonoid| |#1|) $) "\\axiom{coerce(\\spad{x})} returns the element of \\axiomType{OrderedFreeMonoid}(VarSet) corresponding to \\axiom{\\spad{x}}.")) (|lexico| (((|Boolean|) $ $) "\\axiom{lexico(\\spad{x},{}\\spad{y})} returns \\axiom{\\spad{true}} iff \\axiom{\\spad{x}} is smaller than \\axiom{\\spad{y}} \\spad{w}.\\spad{r}.\\spad{t}. the lexicographical ordering induced by \\axiom{VarSet}.")) (|length| (((|PositiveInteger|) $) "\\axiom{length(\\spad{x})} returns the number of entries in \\axiom{\\spad{x}}.")) (|right| (($ $) "\\axiom{right(\\spad{x})} returns right subtree of \\axiom{\\spad{x}} or error if retractable?(\\spad{x}) is \\spad{true}.")) (|left| (($ $) "\\axiom{left(\\spad{x})} returns left subtree of \\axiom{\\spad{x}} or error if retractable?(\\spad{x}) is \\spad{true}.")) (|retractable?| (((|Boolean|) $) "\\axiom{retractable?(\\spad{x})} tests if \\axiom{\\spad{x}} is a tree with only one entry."))) 
 NIL 
 NIL 
-(-664 A S) 
+(-665 A S) 
 ((|constructor| (NIL "LazyStreamAggregate is the category of streams with lazy evaluation. It is understood that the function 'empty?' will cause lazy evaluation if necessary to determine if there are entries. Functions which call 'empty?',{} \\spadignore{e.g.} 'first' and 'rest',{} will also cause lazy evaluation if necessary.")) (|complete| (($ $) "\\indented{1}{complete(st) causes all entries of 'st' to be computed.} \\indented{1}{this function should only be called on streams which are} \\indented{1}{known to be finite.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} n:=filterUntil(i+-\\spad{>i>100},{}\\spad{m}) \\spad{X} numberOfComputedEntries \\spad{n} \\spad{X} complete \\spad{n} \\spad{X} numberOfComputedEntries \\spad{n}")) (|extend| (($ $ (|Integer|)) "\\indented{1}{extend(st,{}\\spad{n}) causes entries to be computed,{} if necessary,{}} \\indented{1}{so that 'st' will have at least \\spad{'n'} explicit entries or so} \\indented{1}{that all entries of 'st' will be computed if 'st' is finite} \\indented{1}{with length \\spad{<=} \\spad{n}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} numberOfComputedEntries \\spad{m} \\spad{X} extend(\\spad{m},{}20) \\spad{X} numberOfComputedEntries \\spad{m}")) (|numberOfComputedEntries| (((|NonNegativeInteger|) $) "\\indented{1}{numberOfComputedEntries(st) returns the number of explicitly} \\indented{1}{computed entries of stream st which exist immediately prior to the} \\indented{1}{time this function is called.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} numberOfComputedEntries \\spad{m}")) (|rst| (($ $) "\\indented{1}{\\spad{rst}(\\spad{s}) returns a pointer to the next node of stream \\spad{s}.} \\indented{1}{Caution: this function should only be called after a \\spad{empty?}} \\indented{1}{test has been made since there no error check.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} \\spad{rst} \\spad{m}")) (|frst| ((|#2| $) "\\indented{1}{frst(\\spad{s}) returns the first element of stream \\spad{s}.} \\indented{1}{Caution: this function should only be called after a \\spad{empty?}} \\indented{1}{test has been made since there no error check.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} frst \\spad{m}")) (|lazyEvaluate| (($ $) "\\spad{lazyEvaluate(s)} causes one lazy evaluation of stream \\spad{s}. Caution: the first node must be a lazy evaluation mechanism (satisfies \\spad{lazy?(s) = true}) as there is no error check. Note that a call to this function may or may not produce an explicit first entry")) (|lazy?| (((|Boolean|) $) "\\indented{1}{lazy?(\\spad{s}) returns \\spad{true} if the first node of the stream \\spad{s}} \\indented{1}{is a lazy evaluation mechanism which could produce an} \\indented{1}{additional entry to \\spad{s}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} lazy? \\spad{m}")) (|explicitlyEmpty?| (((|Boolean|) $) "\\indented{1}{explicitlyEmpty?(\\spad{s}) returns \\spad{true} if the stream is an} \\indented{1}{(explicitly) empty stream.} \\indented{1}{Note that this is a null test which will not cause lazy evaluation.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} explicitlyEmpty? \\spad{m}")) (|explicitEntries?| (((|Boolean|) $) "\\indented{1}{explicitEntries?(\\spad{s}) returns \\spad{true} if the stream \\spad{s} has} \\indented{1}{explicitly computed entries,{} and \\spad{false} otherwise.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} explicitEntries? \\spad{m}")) (|select| (($ (|Mapping| (|Boolean|) |#2|) $) "\\indented{1}{select(\\spad{f},{}st) returns a stream consisting of those elements of stream} \\indented{1}{st satisfying the predicate \\spad{f}.} \\indented{1}{Note that \\spad{select(f,{}st) = [x for x in st | f(x)]}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} select(\\spad{x+}->prime? \\spad{x},{}\\spad{m})")) (|remove| (($ (|Mapping| (|Boolean|) |#2|) $) "\\indented{1}{remove(\\spad{f},{}st) returns a stream consisting of those elements of stream} \\indented{1}{st which do not satisfy the predicate \\spad{f}.} \\indented{1}{Note that \\spad{remove(f,{}st) = [x for x in st | not f(x)]}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} \\spad{f}(i:PositiveInteger):Boolean \\spad{==} even? \\spad{i} \\spad{X} remove(\\spad{f},{}\\spad{m})"))) 
 NIL 
 NIL 
-(-665 S) 
+(-666 S) 
 ((|constructor| (NIL "LazyStreamAggregate is the category of streams with lazy evaluation. It is understood that the function 'empty?' will cause lazy evaluation if necessary to determine if there are entries. Functions which call 'empty?',{} \\spadignore{e.g.} 'first' and 'rest',{} will also cause lazy evaluation if necessary.")) (|complete| (($ $) "\\indented{1}{complete(st) causes all entries of 'st' to be computed.} \\indented{1}{this function should only be called on streams which are} \\indented{1}{known to be finite.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} n:=filterUntil(i+-\\spad{>i>100},{}\\spad{m}) \\spad{X} numberOfComputedEntries \\spad{n} \\spad{X} complete \\spad{n} \\spad{X} numberOfComputedEntries \\spad{n}")) (|extend| (($ $ (|Integer|)) "\\indented{1}{extend(st,{}\\spad{n}) causes entries to be computed,{} if necessary,{}} \\indented{1}{so that 'st' will have at least \\spad{'n'} explicit entries or so} \\indented{1}{that all entries of 'st' will be computed if 'st' is finite} \\indented{1}{with length \\spad{<=} \\spad{n}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} numberOfComputedEntries \\spad{m} \\spad{X} extend(\\spad{m},{}20) \\spad{X} numberOfComputedEntries \\spad{m}")) (|numberOfComputedEntries| (((|NonNegativeInteger|) $) "\\indented{1}{numberOfComputedEntries(st) returns the number of explicitly} \\indented{1}{computed entries of stream st which exist immediately prior to the} \\indented{1}{time this function is called.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} numberOfComputedEntries \\spad{m}")) (|rst| (($ $) "\\indented{1}{\\spad{rst}(\\spad{s}) returns a pointer to the next node of stream \\spad{s}.} \\indented{1}{Caution: this function should only be called after a \\spad{empty?}} \\indented{1}{test has been made since there no error check.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} \\spad{rst} \\spad{m}")) (|frst| ((|#1| $) "\\indented{1}{frst(\\spad{s}) returns the first element of stream \\spad{s}.} \\indented{1}{Caution: this function should only be called after a \\spad{empty?}} \\indented{1}{test has been made since there no error check.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} frst \\spad{m}")) (|lazyEvaluate| (($ $) "\\spad{lazyEvaluate(s)} causes one lazy evaluation of stream \\spad{s}. Caution: the first node must be a lazy evaluation mechanism (satisfies \\spad{lazy?(s) = true}) as there is no error check. Note that a call to this function may or may not produce an explicit first entry")) (|lazy?| (((|Boolean|) $) "\\indented{1}{lazy?(\\spad{s}) returns \\spad{true} if the first node of the stream \\spad{s}} \\indented{1}{is a lazy evaluation mechanism which could produce an} \\indented{1}{additional entry to \\spad{s}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} lazy? \\spad{m}")) (|explicitlyEmpty?| (((|Boolean|) $) "\\indented{1}{explicitlyEmpty?(\\spad{s}) returns \\spad{true} if the stream is an} \\indented{1}{(explicitly) empty stream.} \\indented{1}{Note that this is a null test which will not cause lazy evaluation.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} explicitlyEmpty? \\spad{m}")) (|explicitEntries?| (((|Boolean|) $) "\\indented{1}{explicitEntries?(\\spad{s}) returns \\spad{true} if the stream \\spad{s} has} \\indented{1}{explicitly computed entries,{} and \\spad{false} otherwise.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} explicitEntries? \\spad{m}")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\indented{1}{select(\\spad{f},{}st) returns a stream consisting of those elements of stream} \\indented{1}{st satisfying the predicate \\spad{f}.} \\indented{1}{Note that \\spad{select(f,{}st) = [x for x in st | f(x)]}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 0..] \\spad{X} select(\\spad{x+}->prime? \\spad{x},{}\\spad{m})")) (|remove| (($ (|Mapping| (|Boolean|) |#1|) $) "\\indented{1}{remove(\\spad{f},{}st) returns a stream consisting of those elements of stream} \\indented{1}{st which do not satisfy the predicate \\spad{f}.} \\indented{1}{Note that \\spad{remove(f,{}st) = [x for x in st | not f(x)]}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} \\spad{f}(i:PositiveInteger):Boolean \\spad{==} even? \\spad{i} \\spad{X} remove(\\spad{f},{}\\spad{m})"))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-666 R) 
+(-667 R) 
 ((|constructor| (NIL "This domain represents three dimensional matrices over a general object type")) (|matrixDimensions| (((|Vector| (|NonNegativeInteger|)) $) "\\spad{matrixDimensions(x)} returns the dimensions of a matrix")) (|matrixConcat3D| (($ (|Symbol|) $ $) "\\spad{matrixConcat3D(s,{}x,{}y)} concatenates two 3-\\spad{D} matrices along a specified axis")) (|coerce| (((|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|))) $) "\\spad{coerce(x)} moves from the domain to the representation type") (($ (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|)))) "\\spad{coerce(p)} moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray \\spad{R}) to the domain")) (|setelt!| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{setelt!(x,{}i,{}j,{}k,{}s)} (or \\spad{x}.\\spad{i}.\\spad{j}.k:=s) sets a specific element of the array to some value of type \\spad{R}")) (|elt| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{elt(x,{}i,{}j,{}k)} extract an element from the matrix \\spad{x}")) (|construct| (($ (|List| (|List| (|List| |#1|)))) "\\spad{construct(lll)} creates a 3-\\spad{D} matrix from a List List List \\spad{R} \\spad{lll}")) (|plus| (($ $ $) "\\spad{plus(x,{}y)} adds two matrices,{} term by term we note that they must be the same size")) (|identityMatrix| (($ (|NonNegativeInteger|)) "\\spad{identityMatrix(n)} create an identity matrix we note that this must be square")) (|zeroMatrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zeroMatrix(i,{}j,{}k)} create a matrix with all zero terms"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (QUOTE (-1047))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1047)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-667 |VarSet|) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (QUOTE (-1048))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1048)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-668 |VarSet|) 
 ((|constructor| (NIL "This type is the basic representation of parenthesized words (binary trees over arbitrary symbols) useful in \\spadtype{LiePolynomial}.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{x})} returns the list of distinct entries of \\axiom{\\spad{x}}.")) (|right| (($ $) "\\axiom{right(\\spad{x})} returns right subtree of \\axiom{\\spad{x}} or error if retractable?(\\spad{x}) is \\spad{true}.")) (|retractable?| (((|Boolean|) $) "\\axiom{retractable?(\\spad{x})} tests if \\axiom{\\spad{x}} is a tree with only one entry.")) (|rest| (($ $) "\\axiom{rest(\\spad{x})} return \\axiom{\\spad{x}} without the first entry or error if retractable?(\\spad{x}) is \\spad{true}.")) (|mirror| (($ $) "\\axiom{mirror(\\spad{x})} returns the reversed word of \\axiom{\\spad{x}}. That is \\axiom{\\spad{x}} itself if retractable?(\\spad{x}) is \\spad{true} and \\axiom{mirror(\\spad{z}) * mirror(\\spad{y})} if \\axiom{\\spad{x}} is \\axiom{\\spad{y*z}}.")) (|lexico| (((|Boolean|) $ $) "\\axiom{lexico(\\spad{x},{}\\spad{y})} returns \\axiom{\\spad{true}} iff \\axiom{\\spad{x}} is smaller than \\axiom{\\spad{y}} \\spad{w}.\\spad{r}.\\spad{t}. the lexicographical ordering induced by \\axiom{VarSet}. \\spad{N}.\\spad{B}. This operation does not take into account the tree structure of its arguments. Thus this is not a total ordering.")) (|length| (((|PositiveInteger|) $) "\\axiom{length(\\spad{x})} returns the number of entries in \\axiom{\\spad{x}}.")) (|left| (($ $) "\\axiom{left(\\spad{x})} returns left subtree of \\axiom{\\spad{x}} or error if retractable?(\\spad{x}) is \\spad{true}.")) (|first| ((|#1| $) "\\axiom{first(\\spad{x})} returns the first entry of the tree \\axiom{\\spad{x}}.")) (|coerce| (((|OrderedFreeMonoid| |#1|) $) "\\indented{1}{\\axiom{coerce(\\spad{x})} returns the element of} \\axiomType{OrderedFreeMonoid}(VarSet) \\indented{1}{corresponding to \\axiom{\\spad{x}} by removing parentheses.}")) (* (($ $ $) "\\axiom{x*y} returns the tree \\axiom{[\\spad{x},{}\\spad{y}]}."))) 
 NIL 
 NIL 
-(-668 A) 
+(-669 A) 
 ((|constructor| (NIL "Various Currying operations.")) (|recur| ((|#1| (|Mapping| |#1| (|NonNegativeInteger|) |#1|) (|NonNegativeInteger|) |#1|) "\\spad{recur(n,{}g,{}x)} is \\spad{g(n,{}g(n-1,{}..g(1,{}x)..))}.")) (|iter| ((|#1| (|Mapping| |#1| |#1|) (|NonNegativeInteger|) |#1|) "\\spad{iter(f,{}n,{}x)} applies \\spad{f n} times to \\spad{x}."))) 
 NIL 
 NIL 
-(-669 A C) 
+(-670 A C) 
 ((|constructor| (NIL "Various Currying operations.")) (|arg2| ((|#2| |#1| |#2|) "\\spad{arg2(a,{}c)} selects its second argument.")) (|arg1| ((|#1| |#1| |#2|) "\\spad{arg1(a,{}c)} selects its first argument."))) 
 NIL 
 NIL 
-(-670 A B C) 
+(-671 A B C) 
 ((|constructor| (NIL "Various Currying operations.")) (|comp| ((|#3| (|Mapping| |#3| |#2|) (|Mapping| |#2| |#1|) |#1|) "\\spad{comp(f,{}g,{}x)} is \\spad{f(g x)}."))) 
 NIL 
 NIL 
-(-671 A) 
+(-672 A) 
 ((|constructor| (NIL "Various Currying operations.")) (|recur| (((|Mapping| |#1| (|NonNegativeInteger|) |#1|) (|Mapping| |#1| (|NonNegativeInteger|) |#1|)) "\\spad{recur(g)} is the function \\spad{h} such that \\indented{1}{\\spad{h(n,{}x)= g(n,{}g(n-1,{}..g(1,{}x)..))}.}")) (** (((|Mapping| |#1| |#1|) (|Mapping| |#1| |#1|) (|NonNegativeInteger|)) "\\spad{f**n} is the function which is the \\spad{n}-fold application \\indented{1}{of \\spad{f}.}")) (|id| ((|#1| |#1|) "\\spad{id x} is \\spad{x}.")) (|fixedPoint| (((|List| |#1|) (|Mapping| (|List| |#1|) (|List| |#1|)) (|Integer|)) "\\spad{fixedPoint(f,{}n)} is the fixed point of function \\indented{1}{\\spad{f} which is assumed to transform a list of length} \\indented{1}{\\spad{n}.}") ((|#1| (|Mapping| |#1| |#1|)) "\\spad{fixedPoint f} is the fixed point of function \\spad{f}. \\indented{1}{\\spadignore{i.e.} such that \\spad{fixedPoint f = f(fixedPoint f)}.}")) (|coerce| (((|Mapping| |#1|) |#1|) "\\spad{coerce A} changes its argument into a \\indented{1}{nullary function.}")) (|nullary| (((|Mapping| |#1|) |#1|) "\\spad{nullary A} changes its argument into a \\indented{1}{nullary function.}"))) 
 NIL 
 NIL 
-(-672 A C) 
+(-673 A C) 
 ((|constructor| (NIL "Various Currying operations.")) (|diag| (((|Mapping| |#2| |#1|) (|Mapping| |#2| |#1| |#1|)) "\\spad{diag(f)} is the function \\spad{g} \\indented{1}{such that \\spad{g a = f(a,{}a)}.}")) (|constant| (((|Mapping| |#2| |#1|) (|Mapping| |#2|)) "\\spad{vu(f)} is the function \\spad{g} \\indented{1}{such that \\spad{g a= f ()}.}")) (|curry| (((|Mapping| |#2|) (|Mapping| |#2| |#1|) |#1|) "\\spad{cu(f,{}a)} is the function \\spad{g} \\indented{1}{such that \\spad{g ()= f a}.}")) (|const| (((|Mapping| |#2| |#1|) |#2|) "\\spad{const c} is a function which produces \\spad{c} when \\indented{1}{applied to its argument.}"))) 
 NIL 
 NIL 
-(-673 A B C) 
+(-674 A B C) 
 ((|constructor| (NIL "Various Currying operations.")) (* (((|Mapping| |#3| |#1|) (|Mapping| |#3| |#2|) (|Mapping| |#2| |#1|)) "\\spad{f*g} is the function \\spad{h} \\indented{1}{such that \\spad{h x= f(g x)}.}")) (|twist| (((|Mapping| |#3| |#2| |#1|) (|Mapping| |#3| |#1| |#2|)) "\\spad{twist(f)} is the function \\spad{g} \\indented{1}{such that \\spad{g (a,{}b)= f(b,{}a)}.}")) (|constantLeft| (((|Mapping| |#3| |#1| |#2|) (|Mapping| |#3| |#2|)) "\\spad{constantLeft(f)} is the function \\spad{g} \\indented{1}{such that \\spad{g (a,{}b)= f b}.}")) (|constantRight| (((|Mapping| |#3| |#1| |#2|) (|Mapping| |#3| |#1|)) "\\spad{constantRight(f)} is the function \\spad{g} \\indented{1}{such that \\spad{g (a,{}b)= f a}.}")) (|curryLeft| (((|Mapping| |#3| |#2|) (|Mapping| |#3| |#1| |#2|) |#1|) "\\spad{curryLeft(f,{}a)} is the function \\spad{g} \\indented{1}{such that \\spad{g b = f(a,{}b)}.}")) (|curryRight| (((|Mapping| |#3| |#1|) (|Mapping| |#3| |#1| |#2|) |#2|) "\\spad{curryRight(f,{}b)} is the function \\spad{g} such that \\indented{1}{\\spad{g a = f(a,{}b)}.}"))) 
 NIL 
 NIL 
-(-674 A B) 
+(-675 A B) 
 ((|constructor| (NIL "Functional Composition. Given functions \\spad{f} and \\spad{g},{} returns the applicable closure")) (/ (((|Mapping| (|Expression| (|Integer|)) |#1|) (|Mapping| (|Expression| (|Integer|)) |#1|) (|Mapping| (|Expression| (|Integer|)) |#1|)) "\\indented{1}\\spad{(+) does functional addition} \\blankline \\spad{X} \\spad{p:=}(x:EXPR(INT)):EXPR(INT)+->3*x \\spad{X} \\spad{q:=}(x:EXPR(INT)):EXPR(INT)+-\\spad{>2*x+3} \\spad{X} (\\spad{p/q})(4) \\spad{X} (\\spad{p/q})(\\spad{x})")) (* (((|Mapping| |#2| |#1|) (|Mapping| |#2| |#1|) (|Mapping| |#2| |#1|)) "\\indented{1}\\spad{(+) does functional addition} \\blankline \\spad{X} \\spad{f:=}(x:INT):INT +-> 3*x \\spad{X} \\spad{g:=}(x:INT):INT +-> 2*x+3 \\spad{X} (\\spad{f*g})(4)")) (- (((|Mapping| |#2| |#1|) (|Mapping| |#2| |#1|) (|Mapping| |#2| |#1|)) "\\indented{1}\\spad{(+) does functional addition} \\blankline \\spad{X} \\spad{f:=}(x:INT):INT +-> 3*x \\spad{X} \\spad{g:=}(x:INT):INT +-> 2*x+3 \\spad{X} (\\spad{f}-\\spad{g})(4)")) (+ (((|Mapping| |#2| |#1|) (|Mapping| |#2| |#1|) (|Mapping| |#2| |#1|)) "\\indented{1}\\spad{(+) does functional addition} \\blankline \\spad{X} \\spad{f:=}(x:INT):INT +-> 3*x \\spad{X} \\spad{g:=}(x:INT):INT +-> 2*x+3 \\spad{X} (\\spad{f+g})(4)"))) 
 NIL 
 NIL 
-(-675 R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) 
+(-676 R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) 
 ((|constructor| (NIL "\\spadtype{MatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#5| (|Mapping| |#5| |#1| |#5|) |#4| |#5|) "\\spad{reduce(f,{}m,{}r)} returns a matrix \\spad{n} where \\spad{n[i,{}j] = f(m[i,{}j],{}r)} for all indices \\spad{i} and \\spad{j}.")) (|map| (((|Union| |#8| "failed") (|Mapping| (|Union| |#5| "failed") |#1|) |#4|) "\\spad{map(f,{}m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}.") ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f,{}m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) 
 NIL 
 NIL 
-(-676 S R |Row| |Col|) 
+(-677 S R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\indented{1}{\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}.} \\indented{1}{If the matrix is not invertible,{} \"failed\" is returned.} \\indented{1}{Error: if the matrix is not square.} \\blankline \\spad{X} inverse matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|pfaffian| ((|#2| $) "\\indented{1}{\\spad{pfaffian(m)} returns the Pfaffian of the matrix \\spad{m}.} \\indented{1}{Error if the matrix is not antisymmetric} \\blankline \\spad{X} pfaffian [[0,{}1,{}0,{}0],{}[\\spad{-1},{}0,{}0,{}0],{}[0,{}0,{}0,{}1],{}[0,{}0,{}\\spad{-1},{}0]]")) (|minordet| ((|#2| $) "\\indented{1}{\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using} \\indented{1}{minors. Error: if the matrix is not square.} \\blankline \\spad{X} minordet matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|determinant| ((|#2| $) "\\indented{1}{\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.} \\indented{1}{Error: if the matrix is not square.} \\blankline \\spad{X} determinant matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|nullSpace| (((|List| |#4|) $) "\\indented{1}{\\spad{nullSpace(m)} returns a basis for the null space of} \\indented{1}{the matrix \\spad{m}.} \\blankline \\spad{X} nullSpace matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9]]")) (|nullity| (((|NonNegativeInteger|) $) "\\indented{1}{\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is} \\indented{1}{the dimension of the null space of the matrix \\spad{m}.} \\blankline \\spad{X} nullity matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9]]")) (|rank| (((|NonNegativeInteger|) $) "\\indented{1}{\\spad{rank(m)} returns the rank of the matrix \\spad{m}.} \\blankline \\spad{X} rank matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9]]")) (|columnSpace| (((|List| |#4|) $) "\\indented{1}{\\spad{columnSpace(m)} returns a sublist of columns of the matrix \\spad{m}} \\indented{1}{forming a basis of its column space} \\blankline \\spad{X} columnSpace matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9],{}[1,{}1,{}1]]")) (|rowEchelon| (($ $) "\\indented{1}{\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.} \\blankline \\spad{X} rowEchelon matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (/ (($ $ |#2|) "\\indented{1}{\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.} \\blankline \\spad{X} m:=matrix [[2**i for \\spad{i} in 2..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m/4}")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\indented{1}{\\spad{exquo(m,{}r)} computes the exact quotient of the elements} \\indented{1}{of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.} \\blankline \\spad{X} m:=matrix [[2**i for \\spad{i} in 2..4] for \\spad{j} in 1..5] \\spad{X} exquo(\\spad{m},{}2)")) (** (($ $ (|Integer|)) "\\indented{1}{\\spad{m**n} computes an integral power of the matrix \\spad{m}.} \\indented{1}{Error: if matrix is not square or if the matrix} \\indented{1}{is square but not invertible.} \\blankline \\spad{X} (matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]) \\spad{**} 2") (($ $ (|NonNegativeInteger|)) "\\indented{1}{\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}.} \\indented{1}{Error: if the matrix is not square.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m**3}")) (* ((|#3| |#3| $) "\\indented{1}{\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} r:=transpose([1,{}2,{}3,{}4,{}5])@Matrix(INT) \\spad{X} \\spad{r*m}") ((|#4| $ |#4|) "\\indented{1}{\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} c:=coerce([1,{}2,{}3,{}4,{}5])@Matrix(INT) \\spad{X} \\spad{m*c}") (($ (|Integer|) $) "\\indented{1}{\\spad{n * x} is an integer multiple.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} 3*m") (($ $ |#2|) "\\indented{1}{\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the} \\indented{1}{matrix \\spad{x}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m*1/3}") (($ |#2| $) "\\indented{1}{\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the} \\indented{1}{matrix \\spad{x}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} 1/3*m") (($ $ $) "\\indented{1}{\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m*m}")) (- (($ $) "\\indented{1}{\\spad{-x} returns the negative of the matrix \\spad{x}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{-m}") (($ $ $) "\\indented{1}{\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m}-\\spad{m}")) (+ (($ $ $) "\\indented{1}{\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m+m}")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\indented{1}{\\spad{setsubMatrix(x,{}i1,{}j1,{}y)} destructively alters the} \\indented{1}{matrix \\spad{x}. Here \\spad{x(i,{}j)} is set to \\spad{y(i-i1+1,{}j-j1+1)} for} \\indented{1}{\\spad{i = i1,{}...,{}i1-1+nrows y} and \\spad{j = j1,{}...,{}j1-1+ncols y}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} setsubMatrix!(\\spad{m},{}2,{}2,{}matrix [[3,{}3],{}[3,{}3]])")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\indented{1}{\\spad{subMatrix(x,{}i1,{}i2,{}j1,{}j2)} extracts the submatrix} \\indented{1}{\\spad{[x(i,{}j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2}} \\indented{1}{and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} subMatrix(\\spad{m},{}1,{}3,{}2,{}4)")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\indented{1}{\\spad{swapColumns!(m,{}i,{}j)} interchanges the \\spad{i}th and \\spad{j}th} \\indented{1}{columns of \\spad{m}. This destructively alters the matrix.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} swapColumns!(\\spad{m},{}2,{}4)")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\indented{1}{\\spad{swapRows!(m,{}i,{}j)} interchanges the \\spad{i}th and \\spad{j}th} \\indented{1}{rows of \\spad{m}. This destructively alters the matrix.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} swapRows!(\\spad{m},{}2,{}4)")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\indented{1}{\\spad{setelt(x,{}rowList,{}colList,{}y)} destructively alters the matrix \\spad{x}.} \\indented{1}{If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,{}i<2>,{}...,{}i]}} \\indented{1}{and \\spad{colList = [j<1>,{}j<2>,{}...,{}j]},{} then \\spad{x(i,{}j)}} \\indented{1}{is set to \\spad{y(k,{}l)} for \\spad{k = 1,{}...,{}m} and \\spad{l = 1,{}...,{}n}} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} setelt(\\spad{m},{}3,{}3,{}10)")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\indented{1}{\\spad{elt(x,{}rowList,{}colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting} \\indented{1}{of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}} \\indented{1}{If \\spad{rowList = [i<1>,{}i<2>,{}...,{}i]} and \\spad{colList =} \\indented{1}{[j<1>,{}j<2>,{}...,{}j]},{} then the \\spad{(k,{}l)}th entry of} \\indented{1}{\\spad{elt(x,{}rowList,{}colList)} is \\spad{x(i,{}j)}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} elt(\\spad{m},{}3,{}3)")) (|listOfLists| (((|List| (|List| |#2|)) $) "\\indented{1}{\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list} \\indented{1}{of lists.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} listOfLists \\spad{m}")) (|vertConcat| (($ $ $) "\\indented{1}{\\spad{vertConcat(x,{}y)} vertically concatenates two matrices with an} \\indented{1}{equal number of columns. The entries of \\spad{y} appear below} \\indented{1}{of the entries of \\spad{x}.\\space{2}Error: if the matrices} \\indented{1}{do not have the same number of columns.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} vertConcat(\\spad{m},{}\\spad{m})")) (|horizConcat| (($ $ $) "\\indented{1}{\\spad{horizConcat(x,{}y)} horizontally concatenates two matrices with} \\indented{1}{an equal number of rows. The entries of \\spad{y} appear to the right} \\indented{1}{of the entries of \\spad{x}.\\space{2}Error: if the matrices} \\indented{1}{do not have the same number of rows.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} horizConcat(\\spad{m},{}\\spad{m})")) (|squareTop| (($ $) "\\indented{1}{\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first} \\indented{1}{\\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if} \\indented{1}{\\spad{m < n}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..2] for \\spad{j} in 1..5] \\spad{X} squareTop \\spad{m}")) (|transpose| (($ $) "\\indented{1}{\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} transpose \\spad{m}") (($ |#3|) "\\indented{1}{\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.} \\blankline \\spad{X} transpose([1,{}2,{}3])@Matrix(INT)")) (|coerce| (($ |#4|) "\\indented{1}{\\spad{coerce(col)} converts the column col to a column matrix.} \\blankline \\spad{X} coerce([1,{}2,{}3])@Matrix(INT)")) (|diagonalMatrix| (($ (|List| $)) "\\indented{1}{\\spad{diagonalMatrix([m1,{}...,{}mk])} creates a block diagonal matrix} \\indented{1}{\\spad{M} with block matrices \\spad{m1},{}...,{}\\spad{mk} down the diagonal,{}} \\indented{1}{with 0 block matrices elsewhere.} \\indented{1}{More precisly: if \\spad{\\spad{ri} := nrows \\spad{mi}},{} \\spad{\\spad{ci} := ncols \\spad{mi}},{}} \\indented{1}{then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix\\space{2}with entries} \\indented{1}{\\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if} \\indented{1}{\\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and} \\indented{1}{\\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{}} \\indented{1}{\\spad{m.i.j} = 0\\space{2}otherwise.} \\blankline \\spad{X} diagonalMatrix [matrix [[1,{}2],{}[3,{}4]],{} matrix [[4,{}5],{}[6,{}7]]]") (($ (|List| |#2|)) "\\indented{1}{\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements} \\indented{1}{of \\spad{l} on the diagonal.} \\blankline \\spad{X} diagonalMatrix [1,{}2,{}3]")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#2|) "\\indented{1}{\\spad{scalarMatrix(n,{}r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the} \\indented{1}{diagonal and zeroes elsewhere.} \\blankline \\spad{X} z:Matrix(INT):=scalarMatrix(3,{}5)")) (|matrix| (($ (|List| (|List| |#2|))) "\\indented{1}{\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the} \\indented{1}{list of lists is viewed as a list of the rows of the matrix.} \\blankline \\spad{X} matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9],{}[1,{}1,{}1]]")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\indented{1}{\\spad{zero(m,{}n)} returns an \\spad{m}-by-\\spad{n} zero matrix.} \\blankline \\spad{X} z:Matrix(INT):=zero(3,{}3)")) (|antisymmetric?| (((|Boolean|) $) "\\indented{1}{\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and} \\indented{1}{antisymmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = -m[j,{}i]} for all \\spad{i} and \\spad{j})} \\indented{1}{and \\spad{false} otherwise.} \\blankline \\spad{X} antisymmetric? matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|symmetric?| (((|Boolean|) $) "\\indented{1}{\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and} \\indented{1}{symmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false}} \\indented{1}{otherwise.} \\blankline \\spad{X} symmetric? matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|diagonal?| (((|Boolean|) $) "\\indented{1}{\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and} \\indented{1}{diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and} \\indented{1}{\\spad{false} otherwise.} \\blankline \\spad{X} diagonal? matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|square?| (((|Boolean|) $) "\\indented{1}{\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix} \\indented{1}{(if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.} \\blankline \\spad{X} square matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-172))) (|HasAttribute| |#2| (QUOTE (-4523 "*"))) (|HasCategory| |#2| (QUOTE (-301))) (|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-558)))) 
-(-677 R |Row| |Col|) 
+((|HasCategory| |#2| (QUOTE (-173))) (|HasAttribute| |#2| (QUOTE (-4537 "*"))) (|HasCategory| |#2| (QUOTE (-302))) (|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-559)))) 
+(-678 R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\indented{1}{\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}.} \\indented{1}{If the matrix is not invertible,{} \"failed\" is returned.} \\indented{1}{Error: if the matrix is not square.} \\blankline \\spad{X} inverse matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|pfaffian| ((|#1| $) "\\indented{1}{\\spad{pfaffian(m)} returns the Pfaffian of the matrix \\spad{m}.} \\indented{1}{Error if the matrix is not antisymmetric} \\blankline \\spad{X} pfaffian [[0,{}1,{}0,{}0],{}[\\spad{-1},{}0,{}0,{}0],{}[0,{}0,{}0,{}1],{}[0,{}0,{}\\spad{-1},{}0]]")) (|minordet| ((|#1| $) "\\indented{1}{\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using} \\indented{1}{minors. Error: if the matrix is not square.} \\blankline \\spad{X} minordet matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|determinant| ((|#1| $) "\\indented{1}{\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.} \\indented{1}{Error: if the matrix is not square.} \\blankline \\spad{X} determinant matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|nullSpace| (((|List| |#3|) $) "\\indented{1}{\\spad{nullSpace(m)} returns a basis for the null space of} \\indented{1}{the matrix \\spad{m}.} \\blankline \\spad{X} nullSpace matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9]]")) (|nullity| (((|NonNegativeInteger|) $) "\\indented{1}{\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is} \\indented{1}{the dimension of the null space of the matrix \\spad{m}.} \\blankline \\spad{X} nullity matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9]]")) (|rank| (((|NonNegativeInteger|) $) "\\indented{1}{\\spad{rank(m)} returns the rank of the matrix \\spad{m}.} \\blankline \\spad{X} rank matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9]]")) (|columnSpace| (((|List| |#3|) $) "\\indented{1}{\\spad{columnSpace(m)} returns a sublist of columns of the matrix \\spad{m}} \\indented{1}{forming a basis of its column space} \\blankline \\spad{X} columnSpace matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9],{}[1,{}1,{}1]]")) (|rowEchelon| (($ $) "\\indented{1}{\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.} \\blankline \\spad{X} rowEchelon matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (/ (($ $ |#1|) "\\indented{1}{\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.} \\blankline \\spad{X} m:=matrix [[2**i for \\spad{i} in 2..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m/4}")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\indented{1}{\\spad{exquo(m,{}r)} computes the exact quotient of the elements} \\indented{1}{of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.} \\blankline \\spad{X} m:=matrix [[2**i for \\spad{i} in 2..4] for \\spad{j} in 1..5] \\spad{X} exquo(\\spad{m},{}2)")) (** (($ $ (|Integer|)) "\\indented{1}{\\spad{m**n} computes an integral power of the matrix \\spad{m}.} \\indented{1}{Error: if matrix is not square or if the matrix} \\indented{1}{is square but not invertible.} \\blankline \\spad{X} (matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]) \\spad{**} 2") (($ $ (|NonNegativeInteger|)) "\\indented{1}{\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}.} \\indented{1}{Error: if the matrix is not square.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m**3}")) (* ((|#2| |#2| $) "\\indented{1}{\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} r:=transpose([1,{}2,{}3,{}4,{}5])@Matrix(INT) \\spad{X} \\spad{r*m}") ((|#3| $ |#3|) "\\indented{1}{\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} c:=coerce([1,{}2,{}3,{}4,{}5])@Matrix(INT) \\spad{X} \\spad{m*c}") (($ (|Integer|) $) "\\indented{1}{\\spad{n * x} is an integer multiple.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} 3*m") (($ $ |#1|) "\\indented{1}{\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the} \\indented{1}{matrix \\spad{x}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m*1/3}") (($ |#1| $) "\\indented{1}{\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the} \\indented{1}{matrix \\spad{x}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} 1/3*m") (($ $ $) "\\indented{1}{\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m*m}")) (- (($ $) "\\indented{1}{\\spad{-x} returns the negative of the matrix \\spad{x}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{-m}") (($ $ $) "\\indented{1}{\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m}-\\spad{m}")) (+ (($ $ $) "\\indented{1}{\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}.} \\indented{1}{Error: if the dimensions are incompatible.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} \\spad{m+m}")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\indented{1}{\\spad{setsubMatrix(x,{}i1,{}j1,{}y)} destructively alters the} \\indented{1}{matrix \\spad{x}. Here \\spad{x(i,{}j)} is set to \\spad{y(i-i1+1,{}j-j1+1)} for} \\indented{1}{\\spad{i = i1,{}...,{}i1-1+nrows y} and \\spad{j = j1,{}...,{}j1-1+ncols y}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} setsubMatrix!(\\spad{m},{}2,{}2,{}matrix [[3,{}3],{}[3,{}3]])")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\indented{1}{\\spad{subMatrix(x,{}i1,{}i2,{}j1,{}j2)} extracts the submatrix} \\indented{1}{\\spad{[x(i,{}j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2}} \\indented{1}{and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} subMatrix(\\spad{m},{}1,{}3,{}2,{}4)")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\indented{1}{\\spad{swapColumns!(m,{}i,{}j)} interchanges the \\spad{i}th and \\spad{j}th} \\indented{1}{columns of \\spad{m}. This destructively alters the matrix.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} swapColumns!(\\spad{m},{}2,{}4)")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\indented{1}{\\spad{swapRows!(m,{}i,{}j)} interchanges the \\spad{i}th and \\spad{j}th} \\indented{1}{rows of \\spad{m}. This destructively alters the matrix.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} swapRows!(\\spad{m},{}2,{}4)")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\indented{1}{\\spad{setelt(x,{}rowList,{}colList,{}y)} destructively alters the matrix \\spad{x}.} \\indented{1}{If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,{}i<2>,{}...,{}i]}} \\indented{1}{and \\spad{colList = [j<1>,{}j<2>,{}...,{}j]},{} then \\spad{x(i,{}j)}} \\indented{1}{is set to \\spad{y(k,{}l)} for \\spad{k = 1,{}...,{}m} and \\spad{l = 1,{}...,{}n}} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} setelt(\\spad{m},{}3,{}3,{}10)")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\indented{1}{\\spad{elt(x,{}rowList,{}colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting} \\indented{1}{of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}} \\indented{1}{If \\spad{rowList = [i<1>,{}i<2>,{}...,{}i]} and \\spad{colList =} \\indented{1}{[j<1>,{}j<2>,{}...,{}j]},{} then the \\spad{(k,{}l)}th entry of} \\indented{1}{\\spad{elt(x,{}rowList,{}colList)} is \\spad{x(i,{}j)}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} elt(\\spad{m},{}3,{}3)")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\indented{1}{\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list} \\indented{1}{of lists.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} listOfLists \\spad{m}")) (|vertConcat| (($ $ $) "\\indented{1}{\\spad{vertConcat(x,{}y)} vertically concatenates two matrices with an} \\indented{1}{equal number of columns. The entries of \\spad{y} appear below} \\indented{1}{of the entries of \\spad{x}.\\space{2}Error: if the matrices} \\indented{1}{do not have the same number of columns.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} vertConcat(\\spad{m},{}\\spad{m})")) (|horizConcat| (($ $ $) "\\indented{1}{\\spad{horizConcat(x,{}y)} horizontally concatenates two matrices with} \\indented{1}{an equal number of rows. The entries of \\spad{y} appear to the right} \\indented{1}{of the entries of \\spad{x}.\\space{2}Error: if the matrices} \\indented{1}{do not have the same number of rows.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} horizConcat(\\spad{m},{}\\spad{m})")) (|squareTop| (($ $) "\\indented{1}{\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first} \\indented{1}{\\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if} \\indented{1}{\\spad{m < n}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..2] for \\spad{j} in 1..5] \\spad{X} squareTop \\spad{m}")) (|transpose| (($ $) "\\indented{1}{\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.} \\blankline \\spad{X} m:=matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5] \\spad{X} transpose \\spad{m}") (($ |#2|) "\\indented{1}{\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.} \\blankline \\spad{X} transpose([1,{}2,{}3])@Matrix(INT)")) (|coerce| (($ |#3|) "\\indented{1}{\\spad{coerce(col)} converts the column col to a column matrix.} \\blankline \\spad{X} coerce([1,{}2,{}3])@Matrix(INT)")) (|diagonalMatrix| (($ (|List| $)) "\\indented{1}{\\spad{diagonalMatrix([m1,{}...,{}mk])} creates a block diagonal matrix} \\indented{1}{\\spad{M} with block matrices \\spad{m1},{}...,{}\\spad{mk} down the diagonal,{}} \\indented{1}{with 0 block matrices elsewhere.} \\indented{1}{More precisly: if \\spad{\\spad{ri} := nrows \\spad{mi}},{} \\spad{\\spad{ci} := ncols \\spad{mi}},{}} \\indented{1}{then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix\\space{2}with entries} \\indented{1}{\\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if} \\indented{1}{\\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and} \\indented{1}{\\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{}} \\indented{1}{\\spad{m.i.j} = 0\\space{2}otherwise.} \\blankline \\spad{X} diagonalMatrix [matrix [[1,{}2],{}[3,{}4]],{} matrix [[4,{}5],{}[6,{}7]]]") (($ (|List| |#1|)) "\\indented{1}{\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements} \\indented{1}{of \\spad{l} on the diagonal.} \\blankline \\spad{X} diagonalMatrix [1,{}2,{}3]")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#1|) "\\indented{1}{\\spad{scalarMatrix(n,{}r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the} \\indented{1}{diagonal and zeroes elsewhere.} \\blankline \\spad{X} z:Matrix(INT):=scalarMatrix(3,{}5)")) (|matrix| (($ (|List| (|List| |#1|))) "\\indented{1}{\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the} \\indented{1}{list of lists is viewed as a list of the rows of the matrix.} \\blankline \\spad{X} matrix [[1,{}2,{}3],{}[4,{}5,{}6],{}[7,{}8,{}9],{}[1,{}1,{}1]]")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\indented{1}{\\spad{zero(m,{}n)} returns an \\spad{m}-by-\\spad{n} zero matrix.} \\blankline \\spad{X} z:Matrix(INT):=zero(3,{}3)")) (|antisymmetric?| (((|Boolean|) $) "\\indented{1}{\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and} \\indented{1}{antisymmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = -m[j,{}i]} for all \\spad{i} and \\spad{j})} \\indented{1}{and \\spad{false} otherwise.} \\blankline \\spad{X} antisymmetric? matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|symmetric?| (((|Boolean|) $) "\\indented{1}{\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and} \\indented{1}{symmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false}} \\indented{1}{otherwise.} \\blankline \\spad{X} symmetric? matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|diagonal?| (((|Boolean|) $) "\\indented{1}{\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and} \\indented{1}{diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and} \\indented{1}{\\spad{false} otherwise.} \\blankline \\spad{X} diagonal? matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|square?| (((|Boolean|) $) "\\indented{1}{\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix} \\indented{1}{(if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.} \\blankline \\spad{X} square matrix [[j**i for \\spad{i} in 0..4] for \\spad{j} in 1..5]")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-678 R |Row| |Col| M) 
+(-679 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{MatrixLinearAlgebraFunctions} provides functions to compute inverses and canonical forms.")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,{}d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (|adjoint| (((|Record| (|:| |adjMat| |#4|) (|:| |detMat| |#1|)) |#4|) "\\spad{adjoint(m)} returns the ajoint matrix of \\spad{m} (\\spadignore{i.e.} the matrix \\spad{n} such that \\spad{m*n} = determinant(\\spad{m})*id) and the detrminant of \\spad{m}.")) (|invertIfCan| (((|Union| |#4| "failed") |#4|) "\\spad{invertIfCan(m)} returns the inverse of \\spad{m} over \\spad{R}")) (|fractionFreeGauss!| ((|#4| |#4|) "\\spad{fractionFreeGauss(m)} performs the fraction free gaussian elimination on the matrix \\spad{m}.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|elColumn2!| ((|#4| |#4| |#1| (|Integer|) (|Integer|)) "\\spad{elColumn2!(m,{}a,{}i,{}j)} adds to column \\spad{i} a*column(\\spad{m},{}\\spad{j}) : elementary operation of second kind. (\\spad{i} \\spad{^=j})")) (|elRow2!| ((|#4| |#4| |#1| (|Integer|) (|Integer|)) "\\spad{elRow2!(m,{}a,{}i,{}j)} adds to row \\spad{i} a*row(\\spad{m},{}\\spad{j}) : elementary operation of second kind. (\\spad{i} \\spad{^=j})")) (|elRow1!| ((|#4| |#4| (|Integer|) (|Integer|)) "\\spad{elRow1!(m,{}i,{}j)} swaps rows \\spad{i} and \\spad{j} of matrix \\spad{m} : elementary operation of first kind")) (|minordet| ((|#1| |#4|) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-558)))) 
-(-679 R) 
-((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-558))) (|HasAttribute| |#1| (QUOTE (-4523 "*"))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-365)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
+((|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-559)))) 
 (-680 R) 
+((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-559))) (|HasAttribute| |#1| (QUOTE (-4537 "*"))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-366)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-681 R) 
 ((|constructor| (NIL "This package provides standard arithmetic operations on matrices. The functions in this package store the results of computations in existing matrices,{} rather than creating new matrices. This package works only for matrices of type Matrix and uses the internal representation of this type.")) (** (((|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{x ** n} computes the \\spad{n}-th power of a square matrix. The power \\spad{n} is assumed greater than 1.")) (|power!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{power!(a,{}b,{}c,{}m,{}n)} computes \\spad{m} \\spad{**} \\spad{n} and stores the result in \\spad{a}. The matrices \\spad{b} and \\spad{c} are used to store intermediate results. Error: if \\spad{a},{} \\spad{b},{} \\spad{c},{} and \\spad{m} are not square and of the same dimensions.")) (|times!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{times!(c,{}a,{}b)} computes the matrix product \\spad{a * b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have compatible dimensions.")) (|rightScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rightScalarTimes!(c,{}a,{}r)} computes the scalar product \\spad{a * r} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|leftScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Matrix| |#1|)) "\\spad{leftScalarTimes!(c,{}r,{}a)} computes the scalar product \\spad{r * a} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|minus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{!minus!(c,{}a,{}b)} computes the matrix difference \\spad{a - b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{minus!(c,{}a)} computes \\spad{-a} and stores the result in the matrix \\spad{c}. Error: if a and \\spad{c} do not have the same dimensions.")) (|plus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{plus!(c,{}a,{}b)} computes the matrix sum \\spad{a + b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.")) (|copy!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{copy!(c,{}a)} copies the matrix \\spad{a} into the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions."))) 
 NIL 
 NIL 
-(-681 S -1478 FLAF FLAS) 
+(-682 S -1564 FLAF FLAS) 
 ((|constructor| (NIL "\\spadtype{MultiVariableCalculusFunctions} Package provides several functions for multivariable calculus. These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,{}xlist,{}kl,{}ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} \\spad{kl+ku+1} being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions \\spad{kl+ku+1} by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row \\spad{ku+1},{} the lower triangle in the last \\spad{kl} rows. Entries in a column in the band store correspond to entries in same column of full store. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|jacobian| (((|Matrix| |#2|) |#3| |#4|) "\\spad{jacobian(vf,{}xlist)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|bandedHessian| (((|Matrix| |#2|) |#2| |#4| (|NonNegativeInteger|)) "\\spad{bandedHessian(v,{}xlist,{}k)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist},{} \\spad{k} is the semi-bandwidth,{} the number of nonzero subdiagonals,{} 2*k+1 being actual bandwidth. Stores the nonzero band in lower triangle in a matrix,{} dimensions \\spad{k+1} by \\#xlist,{} whose rows are the vectors formed by diagonal,{} subdiagonal,{} etc. of the real,{} full-matrix,{} hessian. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|hessian| (((|Matrix| |#2|) |#2| |#4|) "\\spad{hessian(v,{}xlist)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|laplacian| ((|#2| |#2| |#4|) "\\spad{laplacian(v,{}xlist)} computes the laplacian of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|divergence| ((|#2| |#3| |#4|) "\\spad{divergence(vf,{}xlist)} computes the divergence of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|gradient| (((|Vector| |#2|) |#2| |#4|) "\\spad{gradient(v,{}xlist)} computes the gradient,{} the vector of first partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}."))) 
 NIL 
 NIL 
-(-682 R Q) 
+(-683 R Q) 
 ((|constructor| (NIL "MatrixCommonDenominator provides functions to compute the common denominator of a matrix of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| (|Matrix| |#1|)) (|:| |den| |#1|)) (|Matrix| |#2|)) "\\spad{splitDenominator(q)} returns \\spad{[p,{} d]} such that \\spad{q = p/d} and \\spad{d} is a common denominator for the elements of \\spad{q}.")) (|clearDenominator| (((|Matrix| |#1|) (|Matrix| |#2|)) "\\spad{clearDenominator(q)} returns \\spad{p} such that \\spad{q = p/d} where \\spad{d} is a common denominator for the elements of \\spad{q}.")) (|commonDenominator| ((|#1| (|Matrix| |#2|)) "\\spad{commonDenominator(q)} returns a common denominator \\spad{d} for the elements of \\spad{q}."))) 
 NIL 
 NIL 
-(-683) 
+(-684) 
 ((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex"))) 
-((-4514 . T) (-4519 |has| (-688) (-365)) (-4513 |has| (-688) (-365)) (-4005 . T) (-4520 |has| (-688) (-6 -4520)) (-4517 |has| (-688) (-6 -4517)) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
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-(-684 S) 
+((-4528 . T) (-4533 |has| (-689) (-366)) (-4527 |has| (-689) (-366)) (-2997 . T) (-4534 |has| (-689) (-6 -4534)) (-4531 |has| (-689) (-6 -4531)) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-689) (QUOTE (-151))) (|HasCategory| (-689) (QUOTE (-149))) (|HasCategory| (-689) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-689) (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| (-689) (QUOTE (-371))) (|HasCategory| (-689) (QUOTE (-366))) (|HasCategory| (-689) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-689) (QUOTE (-226))) (|HasCategory| (-689) (QUOTE (-351))) (-2232 (|HasCategory| (-689) (QUOTE (-366))) (|HasCategory| (-689) (QUOTE (-351)))) (|HasCategory| (-689) (LIST (QUOTE -282) (QUOTE (-689)) (QUOTE (-689)))) (|HasCategory| (-689) (LIST (QUOTE -304) (QUOTE (-689)))) (|HasCategory| (-689) (LIST (QUOTE -524) (QUOTE (-1163)) (QUOTE (-689)))) (|HasCategory| (-689) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-689) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-689) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-689) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-689) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-689) (QUOTE (-1022))) (|HasCategory| (-689) (QUOTE (-1183))) (-12 (|HasCategory| (-689) (QUOTE (-1003))) (|HasCategory| (-689) (QUOTE (-1183)))) (|HasCategory| (-689) (QUOTE (-551))) (|HasCategory| (-689) (QUOTE (-1057))) (-12 (|HasCategory| (-689) (QUOTE (-1057))) (|HasCategory| (-689) (QUOTE (-1183)))) (-2232 (|HasCategory| (-689) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-689) (QUOTE (-366)))) (|HasCategory| (-689) (QUOTE (-302))) (-2232 (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-366))) (|HasCategory| (-689) (QUOTE (-351)))) (|HasCategory| (-689) (QUOTE (-905))) (-12 (|HasCategory| (-689) (QUOTE (-226))) (|HasCategory| (-689) (QUOTE (-366)))) (-12 (|HasCategory| (-689) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-689) (QUOTE (-366)))) (|HasCategory| (-689) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-689) (QUOTE (-843))) (|HasCategory| (-689) (QUOTE (-559))) (|HasAttribute| (-689) (QUOTE -4534)) (|HasAttribute| (-689) (QUOTE -4531)) (-12 (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (|HasCategory| (-689) (QUOTE (-366))) (-12 (|HasCategory| (-689) (QUOTE (-351))) (|HasCategory| (-689) (QUOTE (-905))))) (-2232 (-12 (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (-12 (|HasCategory| (-689) (QUOTE (-366))) (|HasCategory| (-689) (QUOTE (-905)))) (-12 (|HasCategory| (-689) (QUOTE (-351))) (|HasCategory| (-689) (QUOTE (-905))))) (-2232 (-12 (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (|HasCategory| (-689) (QUOTE (-366)))) (-2232 (-12 (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (|HasCategory| (-689) (QUOTE (-559)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (|HasCategory| (-689) (QUOTE (-149)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-689) (QUOTE (-302))) (|HasCategory| (-689) (QUOTE (-905)))) (|HasCategory| (-689) (QUOTE (-351))))) 
+(-685 S) 
 ((|constructor| (NIL "A multi-dictionary is a dictionary which may contain duplicates. As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,{}d,{}n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}."))) 
-((-4522 . T) (-3973 . T)) 
+((-4536 . T) (-2982 . T)) 
 NIL 
-(-685 U) 
+(-686 U) 
 ((|constructor| (NIL "This package supports factorization and gcds of univariate polynomials over the integers modulo different primes. The inputs are given as polynomials over the integers with the prime passed explicitly as an extra argument.")) (|exptMod| ((|#1| |#1| (|Integer|) |#1| (|Integer|)) "\\spad{exptMod(f,{}n,{}g,{}p)} raises the univariate polynomial \\spad{f} to the \\spad{n}th power modulo the polynomial \\spad{g} and the prime \\spad{p}.")) (|separateFactors| (((|List| |#1|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|)))) (|Integer|)) "\\spad{separateFactors(ddl,{} p)} refines the distinct degree factorization produced by ddFact to give a complete list of factors.")) (|ddFact| (((|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|)))) |#1| (|Integer|)) "\\spad{ddFact(f,{}p)} computes a distinct degree factorization of the polynomial \\spad{f} modulo the prime \\spad{p},{} \\spadignore{i.e.} such that each factor is a product of irreducibles of the same degrees. The input polynomial \\spad{f} is assumed to be square-free modulo \\spad{p}.")) (|factor| (((|List| |#1|) |#1| (|Integer|)) "\\spad{factor(f1,{}p)} returns the list of factors of the univariate polynomial \\spad{f1} modulo the integer prime \\spad{p}. Error: if \\spad{f1} is not square-free modulo \\spad{p}.")) (|linears| ((|#1| |#1| (|Integer|)) "\\spad{linears(f,{}p)} returns the product of all the linear factors of \\spad{f} modulo \\spad{p}. Potentially incorrect result if \\spad{f} is not square-free modulo \\spad{p}.")) (|gcd| ((|#1| |#1| |#1| (|Integer|)) "\\spad{gcd(f1,{}f2,{}p)} computes the \\spad{gcd} of the univariate polynomials \\spad{f1} and \\spad{f2} modulo the integer prime \\spad{p}."))) 
 NIL 
 NIL 
-(-686) 
+(-687) 
 ((|constructor| (NIL "This package has no description")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,{}b,{}c,{}d)} is an internal function exported in order to compile packages.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,{}t,{}u,{}f,{}s1,{}l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,{}g,{}s1,{}s2,{}l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,{}f,{}s1,{}s2,{}l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,{}s1,{}s2,{}l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,{}g,{}h,{}j,{}s1,{}s2,{}l)} \\undocumented"))) 
 NIL 
 NIL 
-(-687 OV E -1478 PG) 
+(-688 OV E -1564 PG) 
 ((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field."))) 
 NIL 
 NIL 
-(-688) 
+(-689) 
 ((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,{}man,{}base)} is not documented")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}"))) 
-((-3999 . T) (-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2994 . T) (-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-689 R) 
+(-690 R) 
 ((|constructor| (NIL "Modular hermitian row reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,{}d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m,{} d,{} p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,{}p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m,{} d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus."))) 
 NIL 
 NIL 
-(-690) 
+(-691) 
 ((|constructor| (NIL "A domain which models the integer representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Expression| $) (|Expression| (|Integer|))) "\\spad{coerce(x)} returns \\spad{x} with coefficients in the domain")) (|maxint| (((|PositiveInteger|)) "\\spad{maxint()} returns the maximum integer in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{maxint(u)} sets the maximum integer in the model to \\spad{u}"))) 
-((-4520 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4534 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-691 S D1 D2 I) 
+(-692 S D1 D2 I) 
 ((|constructor| (NIL "Tools and transforms for making compiled functions from top-level expressions")) (|compiledFunction| (((|Mapping| |#4| |#2| |#3|) |#1| (|Symbol|) (|Symbol|)) "\\spad{compiledFunction(expr,{}x,{}y)} returns a function \\spad{f: (D1,{} D2) -> I} defined by \\spad{f(x,{} y) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{(D1,{} D2)}")) (|binaryFunction| (((|Mapping| |#4| |#2| |#3|) (|Symbol|)) "\\spad{binaryFunction(s)} is a local function"))) 
 NIL 
 NIL 
-(-692 S) 
+(-693 S) 
 ((|constructor| (NIL "MakeCachableSet(\\spad{S}) returns a cachable set which is equal to \\spad{S} as a set.")) (|coerce| (($ |#1|) "\\spad{coerce(s)} returns \\spad{s} viewed as an element of \\%."))) 
 NIL 
 NIL 
-(-693 S) 
+(-694 S) 
 ((|constructor| (NIL "Tools for making compiled functions from top-level expressions MakeFloatCompiledFunction transforms top-level objects into compiled Lisp functions whose arguments are Lisp floats. This by-passes the \\Language{} compiler and interpreter,{} thereby gaining several orders of magnitude.")) (|makeFloatFunction| (((|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) |#1| (|Symbol|) (|Symbol|)) "\\spad{makeFloatFunction(expr,{} x,{} y)} returns a Lisp function \\spad{f: (\\axiomType{DoubleFloat},{} \\axiomType{DoubleFloat}) -> \\axiomType{DoubleFloat}} defined by \\spad{f(x,{} y) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{(\\axiomType{DoubleFloat},{} \\axiomType{DoubleFloat})}.") (((|Mapping| (|DoubleFloat|) (|DoubleFloat|)) |#1| (|Symbol|)) "\\spad{makeFloatFunction(expr,{} x)} returns a Lisp function \\spad{f: \\axiomType{DoubleFloat} -> \\axiomType{DoubleFloat}} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\axiomType{DoubleFloat}."))) 
 NIL 
 NIL 
-(-694 S) 
+(-695 S) 
 ((|constructor| (NIL "Tools for making interpreter functions from top-level expressions Transforms top-level objects into interpreter functions.")) (|function| (((|Symbol|) |#1| (|Symbol|) (|List| (|Symbol|))) "\\spad{function(e,{} foo,{} [x1,{}...,{}xn])} creates a function \\spad{foo(x1,{}...,{}xn) == e}.") (((|Symbol|) |#1| (|Symbol|) (|Symbol|) (|Symbol|)) "\\spad{function(e,{} foo,{} x,{} y)} creates a function \\spad{foo(x,{} y) = e}.") (((|Symbol|) |#1| (|Symbol|) (|Symbol|)) "\\spad{function(e,{} foo,{} x)} creates a function \\spad{foo(x) == e}.") (((|Symbol|) |#1| (|Symbol|)) "\\spad{function(e,{} foo)} creates a function \\spad{foo() == e}."))) 
 NIL 
 NIL 
-(-695 S T$) 
+(-696 S T$) 
 ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,{}b)} creates a record object with type Record(part1:S,{} part2:R),{} where \\spad{part1} is \\spad{a} and \\spad{part2} is \\spad{b}."))) 
 NIL 
 NIL 
-(-696 S -3192 I) 
+(-697 S -3022 I) 
 ((|constructor| (NIL "Tools for making compiled functions from top-level expressions Transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr,{} x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) 
 NIL 
 NIL 
-(-697 E OV R P) 
+(-698 E OV R P) 
 ((|constructor| (NIL "This package provides the functions for the multivariate \"lifting\",{} using an algorithm of Paul Wang. This package will work for every euclidean domain \\spad{R} which has property \\spad{F},{} \\spadignore{i.e.} there exists a factor operation in \\spad{R[x]}.")) (|lifting1| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|List| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|List| |#4|) (|List| (|List| (|Record| (|:| |expt| (|NonNegativeInteger|)) (|:| |pcoef| |#4|)))) (|List| (|NonNegativeInteger|)) (|Vector| (|List| (|SparseUnivariatePolynomial| |#3|))) |#3|) "\\spad{lifting1(u,{}lv,{}lu,{}lr,{}lp,{}lt,{}ln,{}t,{}r)} \\undocumented")) (|lifting| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|List| (|SparseUnivariatePolynomial| |#3|)) (|List| |#3|) (|List| |#4|) (|List| (|NonNegativeInteger|)) |#3|) "\\spad{lifting(u,{}lv,{}lu,{}lr,{}lp,{}ln,{}r)} \\undocumented")) (|corrPoly| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|List| |#3|) (|List| (|NonNegativeInteger|)) (|List| (|SparseUnivariatePolynomial| |#4|)) (|Vector| (|List| (|SparseUnivariatePolynomial| |#3|))) |#3|) "\\spad{corrPoly(u,{}lv,{}lr,{}ln,{}lu,{}t,{}r)} \\undocumented"))) 
 NIL 
 NIL 
-(-698 R) 
+(-699 R) 
 ((|constructor| (NIL "This is the category of linear operator rings with one generator. The generator is not named by the category but can always be constructed as \\spad{monomial(1,{}1)}. \\blankline For convenience,{} call the generator \\spad{G}. Then each value is equal to \\spad{sum(a(i)*G**i,{} i = 0..n)} for some unique \\spad{n} and \\spad{a(i)} in \\spad{R}. \\blankline Note that multiplication is not necessarily commutative. In fact,{} if \\spad{a} is in \\spad{R},{} it is quite normal to have \\spad{a*G \\^= G*a}.")) (|monomial| (($ |#1| (|NonNegativeInteger|)) "\\spad{monomial(c,{}k)} produces \\spad{c} times the \\spad{k}-th power of the generating operator,{} \\spad{monomial(1,{}1)}.")) (|coefficient| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coefficient(l,{}k)} is \\spad{a(k)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|reductum| (($ $) "\\spad{reductum(l)} is \\spad{l - monomial(a(n),{}n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(l)} is \\spad{a(n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|minimumDegree| (((|NonNegativeInteger|) $) "\\spad{minimumDegree(l)} is the smallest \\spad{k} such that \\spad{a(k) \\^= 0} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(l)} is \\spad{n} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}"))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-699 R1 UP1 UPUP1 R2 UP2 UPUP2) 
+(-700 R1 UP1 UPUP1 R2 UP2 UPUP2) 
 ((|constructor| (NIL "Lifting of a map through 2 levels of polynomials.")) (|map| ((|#6| (|Mapping| |#4| |#1|) |#3|) "\\spad{map(f,{} p)} lifts \\spad{f} to the domain of \\spad{p} then applies it to \\spad{p}."))) 
 NIL 
 NIL 
-(-700) 
+(-701) 
 ((|constructor| (NIL "This package is based on the TeXFormat domain by Robert \\spad{S}. Sutor \\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding  tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) 
 NIL 
 NIL 
-(-701 R |Mod| -3121 -3645 |exactQuo|) 
+(-702 R |Mod| -2461 -3288 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} is not documented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} is not documented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} is not documented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} is not documented"))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-702 R |Rep|) 
+(-703 R |Rep|) 
 ((|constructor| (NIL "This package has not been documented")) (|frobenius| (($ $) "\\spad{frobenius(x)} is not documented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} is not documented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} is not documented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} is not documented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} is not documented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} is not documented")) (|coerce| (($ |#2|) "\\spad{coerce(x)} is not documented")) (|lift| ((|#2| $) "\\spad{lift(x)} is not documented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} is not documented")) (|modulus| ((|#2|) "\\spad{modulus()} is not documented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} is not documented"))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4517 |has| |#1| (-365)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-904))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (-12 (|HasCategory| (-1075) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-1075) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-1075) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-1075) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-1075) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-1136))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-350))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasCategory| |#1| (QUOTE (-225))) (|HasAttribute| |#1| (QUOTE -4519)) (|HasCategory| |#1| (QUOTE (-453))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (|HasCategory| |#1| (QUOTE (-148))))) 
-(-703 IS E |ff|) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4531 |has| |#1| (-366)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-1137))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-351))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasCategory| |#1| (QUOTE (-226))) (|HasAttribute| |#1| (QUOTE -4533)) (|HasCategory| |#1| (QUOTE (-454))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-704 IS E |ff|) 
 ((|constructor| (NIL "This package has no documentation")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,{}e)} is not documented")) (|coerce| (((|Record| (|:| |index| |#1|) (|:| |exponent| |#2|)) $) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |index| |#1|) (|:| |exponent| |#2|))) "\\spad{coerce(x)} is not documented")) (|index| ((|#1| $) "\\spad{index(x)} is not documented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} is not documented"))) 
 NIL 
 NIL 
-(-704 R M) 
+(-705 R M) 
 ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} is not documented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} is not documented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,{}f)} is not documented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f,{} u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be \\spad{op2}. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) 
-((-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150)))) 
-(-705 R |Mod| -3121 -3645 |exactQuo|) 
+((-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151)))) 
+(-706 R |Mod| -2461 -3288 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} is not documented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} is not documented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} is not documented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} is not documented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} is not documented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} is not documented"))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-706 S R) 
+(-707 S R) 
 ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{1*x = x}\\spad{\\br} \\tab{5}\\spad{(a*b)*x = a*(b*x)}\\spad{\\br} \\tab{5}\\spad{(a+b)*x = (a*x)+(b*x)}\\spad{\\br} \\tab{5}\\spad{a*(x+y) = (a*x)+(a*y)}"))) 
 NIL 
 NIL 
-(-707 R) 
+(-708 R) 
 ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{1*x = x}\\spad{\\br} \\tab{5}\\spad{(a*b)*x = a*(b*x)}\\spad{\\br} \\tab{5}\\spad{(a+b)*x = (a*x)+(b*x)}\\spad{\\br} \\tab{5}\\spad{a*(x+y) = (a*x)+(a*y)}"))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-708 -1478) 
+(-709 -1564) 
 ((|constructor| (NIL "MoebiusTransform(\\spad{F}) is the domain of fractional linear (Moebius) transformations over \\spad{F}. This a domain of 2-by-2 matrices acting on \\spad{P1}(\\spad{F}).")) (|eval| (((|OnePointCompletion| |#1|) $ (|OnePointCompletion| |#1|)) "\\spad{eval(m,{}x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,{}b,{}c,{}d)} (see moebius from MoebiusTransform).") ((|#1| $ |#1|) "\\spad{eval(m,{}x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,{}b,{}c,{}d)} (see moebius from MoebiusTransform).")) (|recip| (($ $) "\\spad{recip(m)} = recip() * \\spad{m}") (($) "\\spad{recip()} returns \\spad{matrix [[0,{}1],{}[1,{}0]]} representing the map \\spad{x -> 1 / x}.")) (|scale| (($ $ |#1|) "\\spad{scale(m,{}h)} returns \\spad{scale(h) * m} (see shift from MoebiusTransform).") (($ |#1|) "\\spad{scale(k)} returns \\spad{matrix [[k,{}0],{}[0,{}1]]} representing the map \\spad{x -> k * x}.")) (|shift| (($ $ |#1|) "\\spad{shift(m,{}h)} returns \\spad{shift(h) * m} (see shift from MoebiusTransform).") (($ |#1|) "\\spad{shift(k)} returns \\spad{matrix [[1,{}k],{}[0,{}1]]} representing the map \\spad{x -> x + k}.")) (|moebius| (($ |#1| |#1| |#1| |#1|) "\\spad{moebius(a,{}b,{}c,{}d)} returns \\spad{matrix [[a,{}b],{}[c,{}d]]}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-709 S) 
+(-710 S) 
 ((|constructor| (NIL "Monad is the class of all multiplicative monads,{} \\spadignore{i.e.} sets with a binary operation.")) (** (($ $ (|PositiveInteger|)) "\\spad{a**n} returns the \\spad{n}\\spad{-}th power of \\spad{a},{} defined by repeated squaring.")) (|leftPower| (($ $ (|PositiveInteger|)) "\\spad{leftPower(a,{}n)} returns the \\spad{n}\\spad{-}th left power of \\spad{a},{} \\spadignore{i.e.} \\spad{leftPower(a,{}n) := a * leftPower(a,{}n-1)} and \\spad{leftPower(a,{}1) := a}.")) (|rightPower| (($ $ (|PositiveInteger|)) "\\spad{rightPower(a,{}n)} returns the \\spad{n}\\spad{-}th right power of \\spad{a},{} \\spadignore{i.e.} \\spad{rightPower(a,{}n) := rightPower(a,{}n-1) * a} and \\spad{rightPower(a,{}1) := a}.")) (* (($ $ $) "\\spad{a*b} is the product of \\spad{a} and \\spad{b} in a set with a binary operation."))) 
 NIL 
 NIL 
-(-710) 
+(-711) 
 ((|constructor| (NIL "Monad is the class of all multiplicative monads,{} \\spadignore{i.e.} sets with a binary operation.")) (** (($ $ (|PositiveInteger|)) "\\spad{a**n} returns the \\spad{n}\\spad{-}th power of \\spad{a},{} defined by repeated squaring.")) (|leftPower| (($ $ (|PositiveInteger|)) "\\spad{leftPower(a,{}n)} returns the \\spad{n}\\spad{-}th left power of \\spad{a},{} \\spadignore{i.e.} \\spad{leftPower(a,{}n) := a * leftPower(a,{}n-1)} and \\spad{leftPower(a,{}1) := a}.")) (|rightPower| (($ $ (|PositiveInteger|)) "\\spad{rightPower(a,{}n)} returns the \\spad{n}\\spad{-}th right power of \\spad{a},{} \\spadignore{i.e.} \\spad{rightPower(a,{}n) := rightPower(a,{}n-1) * a} and \\spad{rightPower(a,{}1) := a}.")) (* (($ $ $) "\\spad{a*b} is the product of \\spad{a} and \\spad{b} in a set with a binary operation."))) 
 NIL 
 NIL 
-(-711 S) 
+(-712 S) 
 ((|constructor| (NIL "MonadWithUnit is the class of multiplicative monads with unit,{} \\spadignore{i.e.} sets with a binary operation and a unit element. \\blankline Axioms\\spad{\\br} \\tab{5}leftIdentity(\"*\":(\\%,{}\\%)\\spad{->}\\%,{}1) \\spadignore{e.g.} 1*x=x\\spad{\\br} \\tab{5}rightIdentity(\"*\":(\\%,{}\\%)\\spad{->}\\%,{}1) \\spad{e}.\\spad{g} x*1=x \\blankline Common Additional Axioms\\spad{\\br} \\tab{5}unitsKnown - if \"recip\" says \"failed\",{} it PROVES input wasn\\spad{'t} a unit")) (|rightRecip| (((|Union| $ "failed") $) "\\spad{rightRecip(a)} returns an element,{} which is a right inverse of \\spad{a},{} or \\spad{\"failed\"} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|leftRecip| (((|Union| $ "failed") $) "\\spad{leftRecip(a)} returns an element,{} which is a left inverse of \\spad{a},{} or \\spad{\"failed\"} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(a)} returns an element,{} which is both a left and a right inverse of \\spad{a},{} or \\spad{\"failed\"} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{a**n} returns the \\spad{n}\\spad{-}th power of \\spad{a},{} defined by repeated squaring.")) (|leftPower| (($ $ (|NonNegativeInteger|)) "\\spad{leftPower(a,{}n)} returns the \\spad{n}\\spad{-}th left power of \\spad{a},{} \\spadignore{i.e.} \\spad{leftPower(a,{}n) := a * leftPower(a,{}n-1)} and \\spad{leftPower(a,{}0) := 1}.")) (|rightPower| (($ $ (|NonNegativeInteger|)) "\\spad{rightPower(a,{}n)} returns the \\spad{n}\\spad{-}th right power of \\spad{a},{} \\spadignore{i.e.} \\spad{rightPower(a,{}n) := rightPower(a,{}n-1) * a} and \\spad{rightPower(a,{}0) := 1}.")) (|one?| (((|Boolean|) $) "\\spad{one?(a)} tests whether \\spad{a} is the unit 1.")) ((|One|) (($) "1 returns the unit element,{} denoted by 1."))) 
 NIL 
 NIL 
-(-712) 
+(-713) 
 ((|constructor| (NIL "MonadWithUnit is the class of multiplicative monads with unit,{} \\spadignore{i.e.} sets with a binary operation and a unit element. \\blankline Axioms\\spad{\\br} \\tab{5}leftIdentity(\"*\":(\\%,{}\\%)\\spad{->}\\%,{}1) \\spadignore{e.g.} 1*x=x\\spad{\\br} \\tab{5}rightIdentity(\"*\":(\\%,{}\\%)\\spad{->}\\%,{}1) \\spad{e}.\\spad{g} x*1=x \\blankline Common Additional Axioms\\spad{\\br} \\tab{5}unitsKnown - if \"recip\" says \"failed\",{} it PROVES input wasn\\spad{'t} a unit")) (|rightRecip| (((|Union| $ "failed") $) "\\spad{rightRecip(a)} returns an element,{} which is a right inverse of \\spad{a},{} or \\spad{\"failed\"} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|leftRecip| (((|Union| $ "failed") $) "\\spad{leftRecip(a)} returns an element,{} which is a left inverse of \\spad{a},{} or \\spad{\"failed\"} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(a)} returns an element,{} which is both a left and a right inverse of \\spad{a},{} or \\spad{\"failed\"} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{a**n} returns the \\spad{n}\\spad{-}th power of \\spad{a},{} defined by repeated squaring.")) (|leftPower| (($ $ (|NonNegativeInteger|)) "\\spad{leftPower(a,{}n)} returns the \\spad{n}\\spad{-}th left power of \\spad{a},{} \\spadignore{i.e.} \\spad{leftPower(a,{}n) := a * leftPower(a,{}n-1)} and \\spad{leftPower(a,{}0) := 1}.")) (|rightPower| (($ $ (|NonNegativeInteger|)) "\\spad{rightPower(a,{}n)} returns the \\spad{n}\\spad{-}th right power of \\spad{a},{} \\spadignore{i.e.} \\spad{rightPower(a,{}n) := rightPower(a,{}n-1) * a} and \\spad{rightPower(a,{}0) := 1}.")) (|one?| (((|Boolean|) $) "\\spad{one?(a)} tests whether \\spad{a} is the unit 1.")) ((|One|) (($) "1 returns the unit element,{} denoted by 1."))) 
 NIL 
 NIL 
-(-713 S R UP) 
+(-714 S R UP) 
 ((|constructor| (NIL "A \\spadtype{MonogenicAlgebra} is an algebra of finite rank which can be generated by a single element.")) (|derivationCoordinates| (((|Matrix| |#2|) (|Vector| $) (|Mapping| |#2| |#2|)) "\\spad{derivationCoordinates(b,{} ')} returns \\spad{M} such that \\spad{b' = M b}.")) (|lift| ((|#3| $) "\\spad{lift(z)} returns a minimal degree univariate polynomial up such that \\spad{z=reduce up}.")) (|convert| (($ |#3|) "\\spad{convert(up)} converts the univariate polynomial \\spad{up} to an algebra element,{} reducing by the \\spad{definingPolynomial()} if necessary.")) (|reduce| (((|Union| $ "failed") (|Fraction| |#3|)) "\\spad{reduce(frac)} converts the fraction \\spad{frac} to an algebra element.") (($ |#3|) "\\spad{reduce(up)} converts the univariate polynomial \\spad{up} to an algebra element,{} reducing by the \\spad{definingPolynomial()} if necessary.")) (|definingPolynomial| ((|#3|) "\\spad{definingPolynomial()} returns the minimal polynomial which \\spad{generator()} satisfies.")) (|generator| (($) "\\spad{generator()} returns the generator for this domain."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-350))) (|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-370)))) 
-(-714 R UP) 
+((|HasCategory| |#2| (QUOTE (-351))) (|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-371)))) 
+(-715 R UP) 
 ((|constructor| (NIL "A \\spadtype{MonogenicAlgebra} is an algebra of finite rank which can be generated by a single element.")) (|derivationCoordinates| (((|Matrix| |#1|) (|Vector| $) (|Mapping| |#1| |#1|)) "\\spad{derivationCoordinates(b,{} ')} returns \\spad{M} such that \\spad{b' = M b}.")) (|lift| ((|#2| $) "\\spad{lift(z)} returns a minimal degree univariate polynomial up such that \\spad{z=reduce up}.")) (|convert| (($ |#2|) "\\spad{convert(up)} converts the univariate polynomial \\spad{up} to an algebra element,{} reducing by the \\spad{definingPolynomial()} if necessary.")) (|reduce| (((|Union| $ "failed") (|Fraction| |#2|)) "\\spad{reduce(frac)} converts the fraction \\spad{frac} to an algebra element.") (($ |#2|) "\\spad{reduce(up)} converts the univariate polynomial \\spad{up} to an algebra element,{} reducing by the \\spad{definingPolynomial()} if necessary.")) (|definingPolynomial| ((|#2|) "\\spad{definingPolynomial()} returns the minimal polynomial which \\spad{generator()} satisfies.")) (|generator| (($) "\\spad{generator()} returns the generator for this domain."))) 
-((-4514 |has| |#1| (-365)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 |has| |#1| (-366)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-715 S) 
+(-716 S) 
 ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{leftIdentity(\"*\":(\\%,{}\\%)->\\%,{}1)}\\tab{5}\\spad{1*x=x}\\spad{\\br} \\tab{5}\\spad{rightIdentity(\"*\":(\\%,{}\\%)->\\%,{}1)}\\tab{4}\\spad{x*1=x} \\blankline Conditional attributes\\spad{\\br} \\tab{5}unitsKnown - \\spadfun{recip} only returns \"failed\" on non-units")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (^ (($ $ (|NonNegativeInteger|)) "\\spad{x^n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) 
 NIL 
 NIL 
-(-716) 
+(-717) 
 ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{leftIdentity(\"*\":(\\%,{}\\%)->\\%,{}1)}\\tab{5}\\spad{1*x=x}\\spad{\\br} \\tab{5}\\spad{rightIdentity(\"*\":(\\%,{}\\%)->\\%,{}1)}\\tab{4}\\spad{x*1=x} \\blankline Conditional attributes\\spad{\\br} \\tab{5}unitsKnown - \\spadfun{recip} only returns \"failed\" on non-units")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (^ (($ $ (|NonNegativeInteger|)) "\\spad{x^n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) 
 NIL 
 NIL 
-(-717 -1478 UP) 
+(-718 -1564 UP) 
 ((|constructor| (NIL "Tools for handling monomial extensions.")) (|decompose| (((|Record| (|:| |poly| |#2|) (|:| |normal| (|Fraction| |#2|)) (|:| |special| (|Fraction| |#2|))) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{decompose(f,{} D)} returns \\spad{[p,{}n,{}s]} such that \\spad{f = p+n+s},{} all the squarefree factors of \\spad{denom(n)} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{denom(s)} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{n} and \\spad{s} are proper fractions (no pole at infinity). \\spad{D} is the derivation to use.")) (|normalDenom| ((|#2| (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{normalDenom(f,{} D)} returns the product of all the normal factors of \\spad{denom(f)}. \\spad{D} is the derivation to use.")) (|splitSquarefree| (((|Record| (|:| |normal| (|Factored| |#2|)) (|:| |special| (|Factored| |#2|))) |#2| (|Mapping| |#2| |#2|)) "\\spad{splitSquarefree(p,{} D)} returns \\spad{[n_1 n_2\\^2 ... n_m\\^m,{} s_1 s_2\\^2 ... s_q\\^q]} such that \\spad{p = n_1 n_2\\^2 ... n_m\\^m s_1 s_2\\^2 ... s_q\\^q},{} each \\spad{n_i} is normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D} and each \\spad{s_i} is special \\spad{w}.\\spad{r}.\\spad{t} \\spad{D}. \\spad{D} is the derivation to use.")) (|split| (((|Record| (|:| |normal| |#2|) (|:| |special| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{split(p,{} D)} returns \\spad{[n,{}s]} such that \\spad{p = n s},{} all the squarefree factors of \\spad{n} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{s} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
-(-718 |VarSet| -4464 E2 R S PR PS) 
+(-719 |VarSet| -1375 E2 R S PR PS) 
 ((|constructor| (NIL "Utilities for MPolyCat")) (|reshape| ((|#7| (|List| |#5|) |#6|) "\\spad{reshape(l,{}p)} \\undocumented")) (|map| ((|#7| (|Mapping| |#5| |#4|) |#6|) "\\spad{map(f,{}p)} \\undocumented"))) 
 NIL 
 NIL 
-(-719 |Vars1| |Vars2| -4464 E2 R PR1 PR2) 
+(-720 |Vars1| |Vars2| -1375 E2 R PR1 PR2) 
 ((|constructor| (NIL "This package has no description")) (|map| ((|#7| (|Mapping| |#2| |#1|) |#6|) "\\spad{map(f,{}x)} \\undocumented"))) 
 NIL 
 NIL 
-(-720 E OV R PPR) 
+(-721 E OV R PPR) 
 ((|constructor| (NIL "This package exports a factor operation for multivariate polynomials with coefficients which are polynomials over some ring \\spad{R} over which we can factor. It is used internally by packages such as the solve package which need to work with polynomials in a specific set of variables with coefficients which are polynomials in all the other variables.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(p)} factors a polynomial with polynomial coefficients.")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
 NIL 
-(-721 |vl| R) 
+(-722 |vl| R) 
 ((|constructor| (NIL "This type is the basic representation of sparse recursive multivariate polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) 
-(((-4523 "*") |has| |#2| (-172)) (-4514 |has| |#2| (-558)) (-4519 |has| |#2| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-904))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172))) (-2199 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-558)))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-852 |#1|) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-365))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#2| (QUOTE -4519)) (|HasCategory| |#2| (QUOTE (-453))) (-2199 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (|HasCategory| |#2| (QUOTE (-148))))) 
-(-722 E OV R PRF) 
+(((-4537 "*") |has| |#2| (-173)) (-4528 |has| |#2| (-559)) (-4533 |has| |#2| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173))) (-2232 (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-559)))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| (-853 |#1|) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-366))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#2| (QUOTE -4533)) (|HasCategory| |#2| (QUOTE (-454))) (-2232 (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-149))))) 
+(-723 E OV R PRF) 
 ((|constructor| (NIL "This package exports a factor operation for multivariate polynomials with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,{}var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,{}var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,{}var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,{}var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,{}var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
 NIL 
-(-723 E OV R P) 
+(-724 E OV R P) 
 ((|constructor| (NIL "MRationalFactorize contains the factor function for multivariate polynomials over the quotient field of a ring \\spad{R} such that the package MultivariateFactorize can factor multivariate polynomials over \\spad{R}.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(p)} factors the multivariate polynomial \\spad{p} with coefficients which are fractions of elements of \\spad{R}."))) 
 NIL 
 NIL 
-(-724 R S M) 
+(-725 R S M) 
 ((|constructor| (NIL "\\spad{MonoidRingFunctions2} implements functions between two monoid rings defined with the same monoid over different rings.")) (|map| (((|MonoidRing| |#2| |#3|) (|Mapping| |#2| |#1|) (|MonoidRing| |#1| |#3|)) "\\spad{map(f,{}u)} maps \\spad{f} onto the coefficients \\spad{f} the element \\spad{u} of the monoid ring to create an element of a monoid ring with the same monoid \\spad{b}."))) 
 NIL 
 NIL 
-(-725 R M) 
+(-726 R M) 
 ((|constructor| (NIL "\\spadtype{MonoidRing}(\\spad{R},{}\\spad{M}),{} implements the algebra of all maps from the monoid \\spad{M} to the commutative ring \\spad{R} with finite support. Multiplication of two maps \\spad{f} and \\spad{g} is defined to map an element \\spad{c} of \\spad{M} to the (convolution) sum over \\spad{f}(a)\\spad{g}(\\spad{b}) such that ab = \\spad{c}. Thus \\spad{M} can be identified with a canonical basis and the maps can also be considered as formal linear combinations of the elements in \\spad{M}. Scalar multiples of a basis element are called monomials. A prominent example is the class of polynomials where the monoid is a direct product of the natural numbers with pointwise addition. When \\spad{M} is \\spadtype{FreeMonoid Symbol},{} one gets polynomials in infinitely many non-commuting variables. Another application area is representation theory of finite groups \\spad{G},{} where modules over \\spadtype{MonoidRing}(\\spad{R},{}\\spad{G}) are studied.")) (|reductum| (($ $) "\\spad{reductum(f)} is \\spad{f} minus its leading monomial.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(f)} gives the coefficient of \\spad{f},{} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(f)} gives the monomial of \\spad{f} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(f)} is the number of non-zero coefficients with respect to the canonical basis.")) (|monomials| (((|List| $) $) "\\spad{monomials(f)} gives the list of all monomials whose sum is \\spad{f}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(f)} lists all non-zero coefficients.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,{}u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|terms| (((|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|))) $) "\\spad{terms(f)} gives the list of non-zero coefficients combined with their corresponding basis element as records. This is the internal representation.")) (|coerce| (($ (|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|)))) "\\spad{coerce(lt)} converts a list of terms and coefficients to a member of the domain.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(f,{}m)} extracts the coefficient of \\spad{m} in \\spad{f} with respect to the canonical basis \\spad{M}.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,{}m)} creates a scalar multiple of the basis element \\spad{m}."))) 
-((-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) (-4518 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#2| (QUOTE (-370)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-842)))) 
-(-726 S) 
+((-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) (-4532 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#2| (QUOTE (-371)))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-843)))) 
+(-727 S) 
 ((|constructor| (NIL "A multi-set aggregate is a set which keeps track of the multiplicity of its elements."))) 
-((-4511 . T) (-4522 . T) (-3973 . T)) 
+((-4525 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-727 S) 
+(-728 S) 
 ((|constructor| (NIL "A multiset is a set with multiplicities.")) (|remove!| (($ (|Mapping| (|Boolean|) |#1|) $ (|Integer|)) "\\spad{remove!(p,{}ms,{}number)} removes destructively at most \\spad{number} copies of elements \\spad{x} such that \\spad{p(x)} is \\spadfun{\\spad{true}} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.") (($ |#1| $ (|Integer|)) "\\spad{remove!(x,{}ms,{}number)} removes destructively at most \\spad{number} copies of element \\spad{x} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.")) (|remove| (($ (|Mapping| (|Boolean|) |#1|) $ (|Integer|)) "\\spad{remove(p,{}ms,{}number)} removes at most \\spad{number} copies of elements \\spad{x} such that \\spad{p(x)} is \\spadfun{\\spad{true}} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.") (($ |#1| $ (|Integer|)) "\\spad{remove(x,{}ms,{}number)} removes at most \\spad{number} copies of element \\spad{x} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.")) (|members| (((|List| |#1|) $) "\\spad{members(ms)} returns a list of the elements of \\spad{ms} without their multiplicity. See also \\spadfun{parts}.")) (|multiset| (($ (|List| |#1|)) "\\spad{multiset(ls)} creates a multiset with elements from \\spad{ls}.") (($ |#1|) "\\spad{multiset(s)} creates a multiset with singleton \\spad{s}.") (($) "\\spad{multiset()}\\$\\spad{D} creates an empty multiset of domain \\spad{D}."))) 
-((-4521 . T) (-4511 . T) (-4522 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-728) 
+((-4535 . T) (-4525 . T) (-4536 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-729) 
 ((|constructor| (NIL "\\spadtype{MoreSystemCommands} implements an interface with the system command facility. These are the commands that are issued from source files or the system interpreter and they start with a close parenthesis,{} \\spadignore{e.g.} the \"what\" commands.")) (|systemCommand| (((|Void|) (|String|)) "\\spad{systemCommand(cmd)} takes the string \\spadvar{\\spad{cmd}} and passes it to the runtime environment for execution as a system command. Although various things may be printed,{} no usable value is returned."))) 
 NIL 
 NIL 
-(-729 S) 
+(-730 S) 
 ((|constructor| (NIL "This package exports tools for merging lists")) (|mergeDifference| (((|List| |#1|) (|List| |#1|) (|List| |#1|)) "\\spad{mergeDifference(l1,{}l2)} returns a list of elements in \\spad{l1} not present in \\spad{l2}. Assumes lists are ordered and all \\spad{x} in \\spad{l2} are also in \\spad{l1}."))) 
 NIL 
 NIL 
-(-730 |Coef| |Var|) 
+(-731 |Coef| |Var|) 
 ((|constructor| (NIL "\\spadtype{MultivariateTaylorSeriesCategory} is the most general multivariate Taylor series category.")) (|integrate| (($ $ |#2|) "\\spad{integrate(f,{}x)} returns the anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{x} with constant coefficient 1. We may integrate a series when we can divide coefficients by integers.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| (((|NonNegativeInteger|) $ |#2| (|NonNegativeInteger|)) "\\spad{order(f,{}x,{}n)} returns \\spad{min(n,{}order(f,{}x))}.") (((|NonNegativeInteger|) $ |#2|) "\\spad{order(f,{}x)} returns the order of \\spad{f} viewed as a series in \\spad{x} may result in an infinite loop if \\spad{f} has no non-zero terms.")) (|monomial| (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,{}[x1,{}x2,{}...,{}xk],{}[n1,{}n2,{}...,{}nk])} returns \\spad{a * x1^n1 * ... * xk^nk}.") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{monomial(a,{}x,{}n)} returns \\spad{a*x^n}.")) (|extend| (($ $ (|NonNegativeInteger|)) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<= n} to be computed.")) (|coefficient| (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(f,{}[x1,{}x2,{}...,{}xk],{}[n1,{}n2,{}...,{}nk])} returns the coefficient of \\spad{x1^n1 * ... * xk^nk} in \\spad{f}.") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{coefficient(f,{}x,{}n)} returns the coefficient of \\spad{x^n} in \\spad{f}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4516 . T) (-4515 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-731 OV E R P) 
+(-732 OV E R P) 
 ((|constructor| (NIL "This is the top level package for doing multivariate factorization over basic domains like \\spadtype{Integer} or \\spadtype{Fraction Integer}.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} factors the multivariate polynomial \\spad{p} over its coefficient domain where \\spad{p} is represented as a univariate polynomial with multivariate coefficients") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} factors the multivariate polynomial \\spad{p} over its coefficient domain"))) 
 NIL 
 NIL 
-(-732 E OV R P) 
+(-733 E OV R P) 
 ((|constructor| (NIL "This package provides the functions for the computation of the square free decomposition of a multivariate polynomial. It uses the package GenExEuclid for the resolution of the equation \\spad{Af + Bg = h} and its generalization to \\spad{n} polynomials over an integral domain and the package \\spad{MultivariateLifting} for the \"multivariate\" lifting.")) (|normDeriv2| (((|SparseUnivariatePolynomial| |#3|) (|SparseUnivariatePolynomial| |#3|) (|Integer|)) "\\spad{normDeriv2 should} be local")) (|myDegree| (((|List| (|NonNegativeInteger|)) (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|NonNegativeInteger|)) "\\spad{myDegree should} be local")) (|lift| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#3|) (|SparseUnivariatePolynomial| |#3|) |#4| (|List| |#2|) (|List| (|NonNegativeInteger|)) (|List| |#3|)) "\\spad{lift should} be local")) (|check| (((|Boolean|) (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| |#3|)) (|:| |exponent| (|Integer|)))) (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| |#3|)) (|:| |exponent| (|Integer|))))) "\\spad{check should} be local")) (|coefChoose| ((|#4| (|Integer|) (|Factored| |#4|)) "\\spad{coefChoose should} be local")) (|intChoose| (((|Record| (|:| |upol| (|SparseUnivariatePolynomial| |#3|)) (|:| |Lval| (|List| |#3|)) (|:| |Lfact| (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| |#3|)) (|:| |exponent| (|Integer|))))) (|:| |ctpol| |#3|)) (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|List| (|List| |#3|))) "\\spad{intChoose should} be local")) (|nsqfree| (((|Record| (|:| |unitPart| |#4|) (|:| |suPart| (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| |#4|)) (|:| |exponent| (|Integer|)))))) (|SparseUnivariatePolynomial| |#4|) (|List| |#2|) (|List| (|List| |#3|))) "\\spad{nsqfree should} be local")) (|consnewpol| (((|Record| (|:| |pol| (|SparseUnivariatePolynomial| |#4|)) (|:| |polval| (|SparseUnivariatePolynomial| |#3|))) (|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#3|) (|Integer|)) "\\spad{consnewpol should} be local")) (|univcase| (((|Factored| |#4|) |#4| |#2|) "\\spad{univcase should} be local")) (|compdegd| (((|Integer|) (|List| (|Record| (|:| |factor| (|SparseUnivariatePolynomial| |#3|)) (|:| |exponent| (|Integer|))))) "\\spad{compdegd should} be local")) (|squareFreePrim| (((|Factored| |#4|) |#4|) "\\spad{squareFreePrim(p)} compute the square free decomposition of a primitive multivariate polynomial \\spad{p}.")) (|squareFree| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{squareFree(p)} computes the square free decomposition of a multivariate polynomial \\spad{p} presented as a univariate polynomial with multivariate coefficients.") (((|Factored| |#4|) |#4|) "\\spad{squareFree(p)} computes the square free decomposition of a multivariate polynomial \\spad{p}."))) 
 NIL 
 NIL 
-(-733 |q| R) 
+(-734 |q| R) 
 ((|constructor| (NIL "This domain has no description"))) 
-((-4519 |has| |#2| (-558)) (-4513 |has| |#2| (-558)) (-4518 -2199 (|has| |#2| (-478)) (|has| |#2| (-1047))) (-4516 |has| |#2| (-172)) (-4515 |has| |#2| (-172)) ((-4523 "*") |has| |#2| (-558)) (-4514 |has| |#2| (-558))) 
-((|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (QUOTE (-1047))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-478))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (-2199 (|HasCategory| |#2| (QUOTE (-478))) (|HasCategory| |#2| (QUOTE (-558)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-1047)))) (-2199 (|HasCategory| |#2| (QUOTE (-478))) (|HasCategory| |#2| (QUOTE (-1047)))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-1102))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-558)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-558)))) (-2199 (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-558))))) (|HasCategory| $ (QUOTE (-1047))) (|HasCategory| $ (LIST (QUOTE -1037) (QUOTE (-568))))) 
-(-734 |x| R) 
+((-4533 |has| |#2| (-559)) (-4527 |has| |#2| (-559)) (-4532 -2232 (|has| |#2| (-479)) (|has| |#2| (-1048))) (-4530 |has| |#2| (-173)) (-4529 |has| |#2| (-173)) ((-4537 "*") |has| |#2| (-559)) (-4528 |has| |#2| (-559))) 
+((|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (QUOTE (-1048))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-479))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (-2232 (|HasCategory| |#2| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-559)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1048)))) (-2232 (|HasCategory| |#2| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-1048)))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-1103))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-559)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-559)))) (-2232 (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-559))))) (|HasCategory| $ (QUOTE (-1048))) (|HasCategory| $ (LIST (QUOTE -1038) (QUOTE (-569))))) 
+(-735 |x| R) 
 ((|constructor| (NIL "This domain has no description")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{x} : \\spad{p1} - \\spad{r} * x**e * \\spad{p2}")) (|coerce| (($ (|Variable| |#1|)) "\\spad{coerce(x)} converts the variable \\spad{x} to a univariate polynomial."))) 
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+(-736 S R) 
 ((|constructor| (NIL "NonAssociativeAlgebra is the category of non associative algebras (modules which are themselves non associative rngs).\\spad{\\br} \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{r*}(a*b) = (r*a)\\spad{*b} = a*(\\spad{r*b})")) (|plenaryPower| (($ $ (|PositiveInteger|)) "\\spad{plenaryPower(a,{}n)} is recursively defined to be \\spad{plenaryPower(a,{}n-1)*plenaryPower(a,{}n-1)} for \\spad{n>1} and \\spad{a} for \\spad{n=1}."))) 
 NIL 
 NIL 
-(-736 R) 
+(-737 R) 
 ((|constructor| (NIL "NonAssociativeAlgebra is the category of non associative algebras (modules which are themselves non associative rngs).\\spad{\\br} \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{r*}(a*b) = (r*a)\\spad{*b} = a*(\\spad{r*b})")) (|plenaryPower| (($ $ (|PositiveInteger|)) "\\spad{plenaryPower(a,{}n)} is recursively defined to be \\spad{plenaryPower(a,{}n-1)*plenaryPower(a,{}n-1)} for \\spad{n>1} and \\spad{a} for \\spad{n=1}."))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-737) 
+(-738) 
 ((|constructor| (NIL "This package uses the NAG Library to compute the zeros of a polynomial with real or complex coefficients.")) (|c02agf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Boolean|) (|Integer|)) "\\spad{c02agf(a,{}n,{}scale,{}ifail)} finds all the roots of a real polynomial equation,{} using a variant of Laguerre\\spad{'s} Method. See \\downlink{Manual Page}{manpageXXc02agf}.")) (|c02aff| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Boolean|) (|Integer|)) "\\spad{c02aff(a,{}n,{}scale,{}ifail)} finds all the roots of a complex polynomial equation,{} using a variant of Laguerre\\spad{'s} Method. See \\downlink{Manual Page}{manpageXXc02aff}."))) 
 NIL 
 NIL 
-(-738) 
+(-739) 
 ((|constructor| (NIL "This package uses the NAG Library to calculate real zeros of continuous real functions of one or more variables. (Complex equations must be expressed in terms of the equivalent larger system of real equations.)")) (|c05pbf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp35| FCN)))) "\\spad{c05pbf(n,{}ldfjac,{}lwa,{}x,{}xtol,{}ifail,{}fcn)} is an easy-to-use routine to find a solution of a system of nonlinear equations by a modification of the Powell hybrid method. The user must provide the Jacobian. See \\downlink{Manual Page}{manpageXXc05pbf}.")) (|c05nbf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp6| FCN)))) "\\spad{c05nbf(n,{}lwa,{}x,{}xtol,{}ifail,{}fcn)} is an easy-to-use routine to find a solution of a system of nonlinear equations by a modification of the Powell hybrid method. See \\downlink{Manual Page}{manpageXXc05nbf}.")) (|c05adf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) "\\spad{c05adf(a,{}b,{}eps,{}eta,{}ifail,{}f)} locates a zero of a continuous function in a given interval by a combination of the methods of linear interpolation,{} extrapolation and bisection. See \\downlink{Manual Page}{manpageXXc05adf}."))) 
 NIL 
 NIL 
-(-739) 
+(-740) 
 ((|constructor| (NIL "This package uses the NAG Library to calculate the discrete Fourier transform of a sequence of real or complex data values,{} and applies it to calculate convolutions and correlations.")) (|c06gsf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06gsf(m,{}n,{}x,{}ifail)} takes \\spad{m} Hermitian sequences,{} each containing \\spad{n} data values,{} and forms the real and imaginary parts of the \\spad{m} corresponding complex sequences. See \\downlink{Manual Page}{manpageXXc06gsf}.")) (|c06gqf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06gqf(m,{}n,{}x,{}ifail)} forms the complex conjugates,{} each containing \\spad{n} data values. See \\downlink{Manual Page}{manpageXXc06gqf}.")) (|c06gcf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06gcf(n,{}y,{}ifail)} forms the complex conjugate of a sequence of \\spad{n} data values. See \\downlink{Manual Page}{manpageXXc06gcf}.")) (|c06gbf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06gbf(n,{}x,{}ifail)} forms the complex conjugate of \\spad{n} data values. See \\downlink{Manual Page}{manpageXXc06gbf}.")) (|c06fuf| (((|Result|) (|Integer|) (|Integer|) (|String|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06fuf(m,{}n,{}init,{}x,{}y,{}trigm,{}trign,{}ifail)} computes the two-dimensional discrete Fourier transform of a bivariate sequence of complex data values. This routine is designed to be particularly efficient on vector processors. See \\downlink{Manual Page}{manpageXXc06fuf}.")) (|c06frf| (((|Result|) (|Integer|) (|Integer|) (|String|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06frf(m,{}n,{}init,{}x,{}y,{}trig,{}ifail)} computes the discrete Fourier transforms of \\spad{m} sequences,{} each containing \\spad{n} complex data values. This routine is designed to be particularly efficient on vector processors. See \\downlink{Manual Page}{manpageXXc06frf}.")) (|c06fqf| (((|Result|) (|Integer|) (|Integer|) (|String|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06fqf(m,{}n,{}init,{}x,{}trig,{}ifail)} computes the discrete Fourier transforms of \\spad{m} Hermitian sequences,{} each containing \\spad{n} complex data values. This routine is designed to be particularly efficient on vector processors. See \\downlink{Manual Page}{manpageXXc06fqf}.")) (|c06fpf| (((|Result|) (|Integer|) (|Integer|) (|String|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06fpf(m,{}n,{}init,{}x,{}trig,{}ifail)} computes the discrete Fourier transforms of \\spad{m} sequences,{} each containing \\spad{n} real data values. This routine is designed to be particularly efficient on vector processors. See \\downlink{Manual Page}{manpageXXc06fpf}.")) (|c06ekf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06ekf(job,{}n,{}x,{}y,{}ifail)} calculates the circular convolution of two real vectors of period \\spad{n}. No extra workspace is required. See \\downlink{Manual Page}{manpageXXc06ekf}.")) (|c06ecf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06ecf(n,{}x,{}y,{}ifail)} calculates the discrete Fourier transform of a sequence of \\spad{n} complex data values. (No extra workspace required.) See \\downlink{Manual Page}{manpageXXc06ecf}.")) (|c06ebf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06ebf(n,{}x,{}ifail)} calculates the discrete Fourier transform of a Hermitian sequence of \\spad{n} complex data values. (No extra workspace required.) See \\downlink{Manual Page}{manpageXXc06ebf}.")) (|c06eaf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{c06eaf(n,{}x,{}ifail)} calculates the discrete Fourier transform of a sequence of \\spad{n} real data values. (No extra workspace required.) See \\downlink{Manual Page}{manpageXXc06eaf}."))) 
 NIL 
 NIL 
-(-740) 
+(-741) 
 ((|constructor| (NIL "This package uses the NAG Library to calculate the numerical value of definite integrals in one or more dimensions and to evaluate weights and abscissae of integration rules.")) (|d01gbf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp4| FUNCTN)))) "\\spad{d01gbf(ndim,{}a,{}b,{}maxcls,{}eps,{}lenwrk,{}mincls,{}wrkstr,{}ifail,{}functn)} returns an approximation to the integral of a function over a hyper-rectangular region,{} using a Monte Carlo method. An approximate relative error estimate is also returned. This routine is suitable for low accuracy work. See \\downlink{Manual Page}{manpageXXd01gbf}.")) (|d01gaf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|)) "\\spad{d01gaf(x,{}y,{}n,{}ifail)} integrates a function which is specified numerically at four or more points,{} over the whole of its specified range,{} using third-order finite-difference formulae with error estimates,{} according to a method due to Gill and Miller. See \\downlink{Manual Page}{manpageXXd01gaf}.")) (|d01fcf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp4| FUNCTN)))) "\\spad{d01fcf(ndim,{}a,{}b,{}maxpts,{}eps,{}lenwrk,{}minpts,{}ifail,{}functn)} attempts to evaluate a multi-dimensional integral (up to 15 dimensions),{} with constant and finite limits,{} to a specified relative accuracy,{} using an adaptive subdivision strategy. See \\downlink{Manual Page}{manpageXXd01fcf}.")) (|d01bbf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{d01bbf(a,{}b,{}itype,{}n,{}gtype,{}ifail)} returns the weight appropriate to a Gaussian quadrature. The formulae provided are Gauss-Legendre,{} Gauss-Rational,{} Gauss- Laguerre and Gauss-Hermite. See \\downlink{Manual Page}{manpageXXd01bbf}.")) (|d01asf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) "\\spad{d01asf(a,{}omega,{}key,{}epsabs,{}limlst,{}lw,{}liw,{}ifail,{}g)} calculates an approximation to the sine or the cosine transform of a function \\spad{g} over [a,{}infty): See \\downlink{Manual Page}{manpageXXd01asf}.")) (|d01aqf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) "\\spad{d01aqf(a,{}b,{}c,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}g)} calculates an approximation to the Hilbert transform of a function \\spad{g}(\\spad{x}) over [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01aqf}.")) (|d01apf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) "\\spad{d01apf(a,{}b,{}alfa,{}beta,{}key,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}g)} is an adaptive integrator which calculates an approximation to the integral of a function \\spad{g}(\\spad{x})\\spad{w}(\\spad{x}) over a finite interval [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01apf}.")) (|d01anf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| G)))) "\\spad{d01anf(a,{}b,{}omega,{}key,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}g)} calculates an approximation to the sine or the cosine transform of a function \\spad{g} over [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01anf}.")) (|d01amf| (((|Result|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) "\\spad{d01amf(bound,{}inf,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}f)} calculates an approximation to the integral of a function \\spad{f}(\\spad{x}) over an infinite or semi-infinite interval [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01amf}.")) (|d01alf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) "\\spad{d01alf(a,{}b,{}npts,{}points,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}f)} is a general purpose integrator which calculates an approximation to the integral of a function \\spad{f}(\\spad{x}) over a finite interval [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01alf}.")) (|d01akf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) "\\spad{d01akf(a,{}b,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}f)} is an adaptive integrator,{} especially suited to oscillating,{} non-singular integrands,{} which calculates an approximation to the integral of a function \\spad{f}(\\spad{x}) over a finite interval [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01akf}.")) (|d01ajf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp1| F)))) "\\spad{d01ajf(a,{}b,{}epsabs,{}epsrel,{}lw,{}liw,{}ifail,{}f)} is a general-purpose integrator which calculates an approximation to the integral of a function \\spad{f}(\\spad{x}) over a finite interval [a,{}\\spad{b}]: See \\downlink{Manual Page}{manpageXXd01ajf}."))) 
 NIL 
 NIL 
-(-741) 
+(-742) 
 ((|constructor| (NIL "This package uses the NAG Library to calculate the numerical solution of ordinary differential equations. There are two main types of problem,{} those in which all boundary conditions are specified at one point (initial-value problems),{} and those in which the boundary conditions are distributed between two or more points (boundary- value problems and eigenvalue problems). Routines are available for initial-value problems,{} two-point boundary-value problems and Sturm-Liouville eigenvalue problems.")) (|d02raf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp41| FCN JACOBF JACEPS))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp42| G JACOBG JACGEP)))) "d02raf(\\spad{n},{}\\spad{mnp},{}numbeg,{}nummix,{}tol,{}init,{}iy,{}ijac,{}lwork,{} \\indented{7}{liwork,{}\\spad{np},{}\\spad{x},{}\\spad{y},{}deleps,{}ifail,{}\\spad{fcn},{}\\spad{g})} solves the two-point boundary-value problem with general boundary conditions for a system of ordinary differential equations,{} using a deferred correction technique and Newton iteration. See \\downlink{Manual Page}{manpageXXd02raf}.")) (|d02kef| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp10| COEFFN))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp80| BDYVAL))) (|FileName|) (|FileName|)) "d02kef(xpoint,{}\\spad{m},{}\\spad{k},{}tol,{}maxfun,{}match,{}elam,{}delam,{} \\indented{7}{hmax,{}maxit,{}ifail,{}coeffn,{}bdyval,{}monit,{}report)} finds a specified eigenvalue of a regular singular second- order Sturm-Liouville system on a finite or infinite range,{} using a Pruefer transformation and a shooting method. It also reports values of the eigenfunction and its derivatives. Provision is made for discontinuities in the coefficient functions or their derivatives. See \\downlink{Manual Page}{manpageXXd02kef}. Files \\spad{monit} and \\spad{report} will be used to define the subroutines for the MONIT and REPORT arguments. See \\downlink{Manual Page}{manpageXXd02gbf}.") (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp10| COEFFN))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp80| BDYVAL)))) "d02kef(xpoint,{}\\spad{m},{}\\spad{k},{}tol,{}maxfun,{}match,{}elam,{}delam,{} \\indented{7}{hmax,{}maxit,{}ifail,{}coeffn,{}bdyval)} finds a specified eigenvalue of a regular singular second- order Sturm-Liouville system on a finite or infinite range,{} using a Pruefer transformation and a shooting method. It also reports values of the eigenfunction and its derivatives. Provision is made for discontinuities in the coefficient functions or their derivatives. See \\downlink{Manual Page}{manpageXXd02kef}. ASP domains \\spad{Asp12} and \\spad{Asp33} are used to supply default subroutines for the MONIT and REPORT arguments via their \\axiomOp{outputAsFortran} operation.")) (|d02gbf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp77| FCNF))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp78| FCNG)))) "\\spad{d02gbf(a,{}b,{}n,{}tol,{}mnp,{}lw,{}liw,{}c,{}d,{}gam,{}x,{}np,{}ifail,{}fcnf,{}fcng)} solves a general linear two-point boundary value problem for a system of ordinary differential equations using a deferred correction technique. See \\downlink{Manual Page}{manpageXXd02gbf}.")) (|d02gaf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) "\\spad{d02gaf(u,{}v,{}n,{}a,{}b,{}tol,{}mnp,{}lw,{}liw,{}x,{}np,{}ifail,{}fcn)} solves the two-point boundary-value problem with assigned boundary values for a system of ordinary differential equations,{} using a deferred correction technique and a Newton iteration. See \\downlink{Manual Page}{manpageXXd02gaf}.")) (|d02ejf| (((|Result|) (|DoubleFloat|) (|Integer|) (|Integer|) (|String|) (|Integer|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp9| G))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp31| PEDERV))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp8| OUTPUT)))) "\\spad{d02ejf(xend,{}m,{}n,{}relabs,{}iw,{}x,{}y,{}tol,{}ifail,{}g,{}fcn,{}pederv,{}output)} integrates a stiff system of first-order ordinary differential equations over an interval with suitable initial conditions,{} using a variable-order,{} variable-step method implementing the Backward Differentiation Formulae (\\spad{BDF}),{} until a user-specified function,{} if supplied,{} of the solution is zero,{} and returns the solution at points specified by the user,{} if desired. See \\downlink{Manual Page}{manpageXXd02ejf}.")) (|d02cjf| (((|Result|) (|DoubleFloat|) (|Integer|) (|Integer|) (|DoubleFloat|) (|String|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp9| G))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp8| OUTPUT)))) "\\spad{d02cjf(xend,{}m,{}n,{}tol,{}relabs,{}x,{}y,{}ifail,{}g,{}fcn,{}output)} integrates a system of first-order ordinary differential equations over a range with suitable initial conditions,{} using a variable-order,{} variable-step Adams method until a user-specified function,{} if supplied,{} of the solution is zero,{} and returns the solution at points specified by the user,{} if desired. See \\downlink{Manual Page}{manpageXXd02cjf}.")) (|d02bhf| (((|Result|) (|DoubleFloat|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp9| G))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN)))) "\\spad{d02bhf(xend,{}n,{}irelab,{}hmax,{}x,{}y,{}tol,{}ifail,{}g,{}fcn)} integrates a system of first-order ordinary differential equations over an interval with suitable initial conditions,{} using a Runge-Kutta-Merson method,{} until a user-specified function of the solution is zero. See \\downlink{Manual Page}{manpageXXd02bhf}.")) (|d02bbf| (((|Result|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp7| FCN))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp8| OUTPUT)))) "\\spad{d02bbf(xend,{}m,{}n,{}irelab,{}x,{}y,{}tol,{}ifail,{}fcn,{}output)} integrates a system of first-order ordinary differential equations over an interval with suitable initial conditions,{} using a Runge-Kutta-Merson method,{} and returns the solution at points specified by the user. See \\downlink{Manual Page}{manpageXXd02bbf}."))) 
 NIL 
 NIL 
-(-742) 
+(-743) 
 ((|constructor| (NIL "This package uses the NAG Library to solve partial differential equations.")) (|d03faf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|ThreeDimensionalMatrix| (|DoubleFloat|)) (|Integer|)) "d03faf(\\spad{xs},{}\\spad{xf},{}\\spad{l},{}lbdcnd,{}bdxs,{}bdxf,{}\\spad{ys},{}\\spad{yf},{}\\spad{m},{}mbdcnd,{}bdys,{}bdyf,{}\\spad{zs},{} \\indented{7}{\\spad{zf},{}\\spad{n},{}nbdcnd,{}bdzs,{}bdzf,{}lambda,{}ldimf,{}mdimf,{}lwrk,{}\\spad{f},{}ifail)} solves the Helmholtz equation in Cartesian co-ordinates in three dimensions using the standard seven-point finite difference approximation. This routine is designed to be particularly efficient on vector processors. See \\downlink{Manual Page}{manpageXXd03faf}.")) (|d03eef| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|String|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp73| PDEF))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp74| BNDY)))) "\\spad{d03eef(xmin,{}xmax,{}ymin,{}ymax,{}ngx,{}ngy,{}lda,{}scheme,{}ifail,{}pdef,{}bndy)} discretizes a second order elliptic partial differential equation (PDE) on a rectangular region. See \\downlink{Manual Page}{manpageXXd03eef}.")) (|d03edf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{d03edf(ngx,{}ngy,{}lda,{}maxit,{}acc,{}iout,{}a,{}rhs,{}ub,{}ifail)} solves seven-diagonal systems of linear equations which arise from the discretization of an elliptic partial differential equation on a rectangular region. This routine uses a multigrid technique. See \\downlink{Manual Page}{manpageXXd03edf}."))) 
 NIL 
 NIL 
-(-743) 
+(-744) 
 ((|constructor| (NIL "This package uses the NAG Library to calculate the interpolation of a function of one or two variables. When provided with the value of the function (and possibly one or more of its lowest-order derivatives) at each of a number of values of the variable(\\spad{s}),{} the routines provide either an interpolating function or an interpolated value. For some of the interpolating functions,{} there are supporting routines to evaluate,{} differentiate or integrate them.")) (|e01sff| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{e01sff(m,{}x,{}y,{}f,{}rnw,{}fnodes,{}px,{}py,{}ifail)} evaluates at a given point the two-dimensional interpolating function computed by E01SEF. See \\downlink{Manual Page}{manpageXXe01sff}.")) (|e01sef| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{e01sef(m,{}x,{}y,{}f,{}nw,{}nq,{}rnw,{}rnq,{}ifail)} generates a two-dimensional surface interpolating a set of scattered data points,{} using a modified Shepard method. See \\downlink{Manual Page}{manpageXXe01sef}.")) (|e01sbf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{e01sbf(m,{}x,{}y,{}f,{}triang,{}grads,{}px,{}py,{}ifail)} evaluates at a given point the two-dimensional interpolant function computed by E01SAF. See \\downlink{Manual Page}{manpageXXe01sbf}.")) (|e01saf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e01saf(m,{}x,{}y,{}f,{}ifail)} generates a two-dimensional surface interpolating a set of scattered data points,{} using the method of Renka and Cline. See \\downlink{Manual Page}{manpageXXe01saf}.")) (|e01daf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e01daf(mx,{}my,{}x,{}y,{}f,{}ifail)} computes a bicubic spline interpolating surface through a set of data values,{} given on a rectangular grid in the \\spad{x}-\\spad{y} plane. See \\downlink{Manual Page}{manpageXXe01daf}.")) (|e01bhf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{e01bhf(n,{}x,{}f,{}d,{}a,{}b,{}ifail)} evaluates the definite integral of a piecewise cubic Hermite interpolant over the interval [a,{}\\spad{b}]. See \\downlink{Manual Page}{manpageXXe01bhf}.")) (|e01bgf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e01bgf(n,{}x,{}f,{}d,{}m,{}px,{}ifail)} evaluates a piecewise cubic Hermite interpolant and its first derivative at a set of points. See \\downlink{Manual Page}{manpageXXe01bgf}.")) (|e01bff| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e01bff(n,{}x,{}f,{}d,{}m,{}px,{}ifail)} evaluates a piecewise cubic Hermite interpolant at a set of points. See \\downlink{Manual Page}{manpageXXe01bff}.")) (|e01bef| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e01bef(n,{}x,{}f,{}ifail)} computes a monotonicity-preserving piecewise cubic Hermite interpolant to a set of data points. See \\downlink{Manual Page}{manpageXXe01bef}.")) (|e01baf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{e01baf(m,{}x,{}y,{}lck,{}lwrk,{}ifail)} determines a cubic spline to a given set of data. See \\downlink{Manual Page}{manpageXXe01baf}."))) 
 NIL 
 NIL 
-(-744) 
+(-745) 
 ((|constructor| (NIL "This package uses the NAG Library to find a function which approximates a set of data points. Typically the data contain random errors,{} as of experimental measurement,{} which need to be smoothed out. To seek an approximation to the data,{} it is first necessary to specify for the approximating function a mathematical form (a polynomial,{} for example) which contains a number of unspecified coefficients: the appropriate fitting routine then derives for the coefficients the values which provide the best fit of that particular form. The package deals mainly with curve and surface fitting (\\spadignore{i.e.} fitting with functions of one and of two variables) when a polynomial or a cubic spline is used as the fitting function,{} since these cover the most common needs. However,{} fitting with other functions and/or more variables can be undertaken by means of general linear or nonlinear routines (some of which are contained in other packages) depending on whether the coefficients in the function occur linearly or nonlinearly. Cases where a graph rather than a set of data points is given can be treated simply by first reading a suitable set of points from the graph. The package also contains routines for evaluating,{} differentiating and integrating polynomial and spline curves and surfaces,{} once the numerical values of their coefficients have been determined.")) (|e02zaf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{e02zaf(px,{}py,{}lamda,{}mu,{}m,{}x,{}y,{}npoint,{}nadres,{}ifail)} sorts two-dimensional data into rectangular panels. See \\downlink{Manual Page}{manpageXXe02zaf}.")) (|e02gaf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02gaf(m,{}la,{}nplus2,{}toler,{}a,{}b,{}ifail)} calculates an \\spad{l} solution to an over-determined system of linear equations. See \\downlink{Manual Page}{manpageXXe02gaf}.")) (|e02dff| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{e02dff(mx,{}my,{}px,{}py,{}x,{}y,{}lamda,{}mu,{}c,{}lwrk,{}liwrk,{}ifail)} calculates values of a bicubic spline representation. The spline is evaluated at all points on a rectangular grid. See \\downlink{Manual Page}{manpageXXe02dff}.")) (|e02def| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02def(m,{}px,{}py,{}x,{}y,{}lamda,{}mu,{}c,{}ifail)} calculates values of a bicubic spline representation. See \\downlink{Manual Page}{manpageXXe02def}.")) (|e02ddf| (((|Result|) (|String|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02ddf(start,{}m,{}x,{}y,{}f,{}w,{}s,{}nxest,{}nyest,{}lwrk,{}liwrk,{}nx,{} ++ lamda,{}ny,{}mu,{}wrk,{}ifail)} computes a bicubic spline approximation to a set of scattered data are located automatically,{} but a single parameter must be specified to control the trade-off between closeness of fit and smoothness of fit. See \\downlink{Manual Page}{manpageXXe02ddf}.")) (|e02dcf| (((|Result|) (|String|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Integer|)) "\\spad{e02dcf(start,{}mx,{}x,{}my,{}y,{}f,{}s,{}nxest,{}nyest,{}lwrk,{}liwrk,{}nx,{} ++ lamda,{}ny,{}mu,{}wrk,{}iwrk,{}ifail)} computes a bicubic spline approximation to a set of data values,{} given on a rectangular grid in the \\spad{x}-\\spad{y} plane. The knots of the spline are located automatically,{} but a single parameter must be specified to control the trade-off between closeness of fit and smoothness of fit. See \\downlink{Manual Page}{manpageXXe02dcf}.")) (|e02daf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02daf(m,{}px,{}py,{}x,{}y,{}f,{}w,{}mu,{}point,{}npoint,{}nc,{}nws,{}eps,{}lamda,{}ifail)} forms a minimal,{} weighted least-squares bicubic spline surface fit with prescribed knots to a given set of data points. See \\downlink{Manual Page}{manpageXXe02daf}.")) (|e02bef| (((|Result|) (|String|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|))) "\\spad{e02bef(start,{}m,{}x,{}y,{}w,{}s,{}nest,{}lwrk,{}n,{}lamda,{}ifail,{}wrk,{}iwrk)} computes a cubic spline approximation to an arbitrary set of data points. The knot are located automatically,{} but a single parameter must be specified to control the trade-off between closeness of fit and smoothness of fit. See \\downlink{Manual Page}{manpageXXe02bef}.")) (|e02bdf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02bdf(ncap7,{}lamda,{}c,{}ifail)} computes the definite integral from its \\spad{B}-spline representation. See \\downlink{Manual Page}{manpageXXe02bdf}.")) (|e02bcf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|) (|Integer|)) "\\spad{e02bcf(ncap7,{}lamda,{}c,{}x,{}left,{}ifail)} evaluates a cubic spline and its first three derivatives from its \\spad{B}-spline representation. See \\downlink{Manual Page}{manpageXXe02bcf}.")) (|e02bbf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|)) "\\spad{e02bbf(ncap7,{}lamda,{}c,{}x,{}ifail)} evaluates a cubic spline representation. See \\downlink{Manual Page}{manpageXXe02bbf}.")) (|e02baf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02baf(m,{}ncap7,{}x,{}y,{}w,{}lamda,{}ifail)} computes a weighted least-squares approximation to an arbitrary set of data points by a cubic splines prescribed by the user. Cubic spline can also be carried out. See \\downlink{Manual Page}{manpageXXe02baf}.")) (|e02akf| (((|Result|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|)) "\\spad{e02akf(np1,{}xmin,{}xmax,{}a,{}ia1,{}la,{}x,{}ifail)} evaluates a polynomial from its Chebyshev-series representation,{} allowing an arbitrary index increment for accessing the array of coefficients. See \\downlink{Manual Page}{manpageXXe02akf}.")) (|e02ajf| (((|Result|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{e02ajf(np1,{}xmin,{}xmax,{}a,{}ia1,{}la,{}qatm1,{}iaint1,{}laint,{}ifail)} determines the coefficients in the Chebyshev-series representation of the indefinite integral of a polynomial given in Chebyshev-series form. See \\downlink{Manual Page}{manpageXXe02ajf}.")) (|e02ahf| (((|Result|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{e02ahf(np1,{}xmin,{}xmax,{}a,{}ia1,{}la,{}iadif1,{}ladif,{}ifail)} determines the coefficients in the Chebyshev-series representation of the derivative of a polynomial given in Chebyshev-series form. See \\downlink{Manual Page}{manpageXXe02ahf}.")) (|e02agf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{e02agf(m,{}kplus1,{}nrows,{}xmin,{}xmax,{}x,{}y,{}w,{}mf,{}xf,{}yf,{}lyf,{}ip,{}lwrk,{}liwrk,{}ifail)} computes constrained weighted least-squares polynomial approximations in Chebyshev-series form to an arbitrary set of data points. The values of the approximations and any number of their derivatives can be specified at selected points. See \\downlink{Manual Page}{manpageXXe02agf}.")) (|e02aef| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|DoubleFloat|) (|Integer|)) "\\spad{e02aef(nplus1,{}a,{}xcap,{}ifail)} evaluates a polynomial from its Chebyshev-series representation. See \\downlink{Manual Page}{manpageXXe02aef}.")) (|e02adf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e02adf(m,{}kplus1,{}nrows,{}x,{}y,{}w,{}ifail)} computes weighted least-squares polynomial approximations to an arbitrary set of data points. See \\downlink{Manual Page}{manpageXXe02adf}."))) 
 NIL 
 NIL 
-(-745) 
+(-746) 
 ((|constructor| (NIL "This package uses the NAG Library to perform optimization. An optimization problem involves minimizing a function (called the objective function) of several variables,{} possibly subject to restrictions on the values of the variables defined by a set of constraint functions. The routines in the NAG Foundation Library are concerned with function minimization only,{} since the problem of maximizing a given function can be transformed into a minimization problem simply by multiplying the function by \\spad{-1}.")) (|e04ycf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{e04ycf(job,{}m,{}n,{}fsumsq,{}s,{}lv,{}v,{}ifail)} returns estimates of elements of the variance matrix of the estimated regression coefficients for a nonlinear least squares problem. The estimates are derived from the Jacobian of the function \\spad{f}(\\spad{x}) at the solution. See \\downlink{Manual Page}{manpageXXe04ycf}.")) (|e04ucf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Boolean|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Boolean|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|Integer|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp55| CONFUN))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp49| OBJFUN)))) "e04ucf(\\spad{n},{}nclin,{}ncnln,{}nrowa,{}nrowj,{}nrowr,{}a,{}\\spad{bl},{}bu,{}liwork,{}lwork,{}sta,{} \\indented{7}{cra,{}der,{}fea,{}fun,{}hes,{}infb,{}infs,{}linf,{}lint,{}list,{}maji,{}majp,{}mini,{}} \\indented{7}{minp,{}mon,{}nonf,{}opt,{}ste,{}stao,{}stac,{}stoo,{}stoc,{}ve,{}istate,{}cjac,{}} \\indented{7}{clamda,{}\\spad{r},{}\\spad{x},{}ifail,{}confun,{}objfun)} is designed to minimize an arbitrary smooth function subject to constraints on the variables,{} linear constraints. (E04UCF may be used for unconstrained,{} bound-constrained and linearly constrained optimization.) The user must provide subroutines that define the objective and constraint functions and as many of their first partial derivatives as possible. Unspecified derivatives are approximated by finite differences. All matrices are treated as dense,{} and hence E04UCF is not intended for large sparse problems. See \\downlink{Manual Page}{manpageXXe04ucf}.")) (|e04naf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Boolean|) (|Boolean|) (|Boolean|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp20| QPHESS)))) "e04naf(itmax,{}msglvl,{}\\spad{n},{}nclin,{}nctotl,{}nrowa,{}nrowh,{}ncolh,{}bigbnd,{}a,{}\\spad{bl},{} bu,{}cvec,{}featol,{}hess,{}cold,{}\\spad{lpp},{}orthog,{}liwork,{}lwork,{}\\spad{x},{}istate,{}ifail,{}qphess) is a comprehensive programming (\\spad{QP}) or linear programming (\\spad{LP}) problems. It is not intended for large sparse problems. See \\downlink{Manual Page}{manpageXXe04naf}.")) (|e04mbf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Boolean|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "e04mbf(itmax,{}msglvl,{}\\spad{n},{}nclin,{}nctotl,{}nrowa,{}a,{}\\spad{bl},{}bu,{} \\indented{7}{cvec,{}linobj,{}liwork,{}lwork,{}\\spad{x},{}ifail)} is an easy-to-use routine for solving linear programming problems,{} or for finding a feasible point for such problems. It is not intended for large sparse problems. See \\downlink{Manual Page}{manpageXXe04mbf}.")) (|e04jaf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp24| FUNCT1)))) "\\spad{e04jaf(n,{}ibound,{}liw,{}lw,{}bl,{}bu,{}x,{}ifail,{}funct1)} is an easy-to-use quasi-Newton algorithm for finding a minimum of a function \\spad{F}(\\spad{x} ,{}\\spad{x} ,{}...,{}\\spad{x} ),{} subject to fixed upper and \\indented{25}{1\\space{2}2\\space{6}\\spad{n}} lower bounds of the independent variables \\spad{x} ,{}\\spad{x} ,{}...,{}\\spad{x} ,{} using \\indented{43}{1\\space{2}2\\space{6}\\spad{n}} function values only. See \\downlink{Manual Page}{manpageXXe04jaf}.")) (|e04gcf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp19| LSFUN2)))) "\\spad{e04gcf(m,{}n,{}liw,{}lw,{}x,{}ifail,{}lsfun2)} is an easy-to-use quasi-Newton algorithm for finding an unconstrained minimum of \\spad{m} nonlinear functions in \\spad{n} variables (m>=n). First derivatives are required. See \\downlink{Manual Page}{manpageXXe04gcf}.")) (|e04fdf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp50| LSFUN1)))) "\\spad{e04fdf(m,{}n,{}liw,{}lw,{}x,{}ifail,{}lsfun1)} is an easy-to-use algorithm for finding an unconstrained minimum of a sum of squares of \\spad{m} nonlinear functions in \\spad{n} variables (m>=n). No derivatives are required. See \\downlink{Manual Page}{manpageXXe04fdf}.")) (|e04dgf| (((|Result|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|DoubleFloat|) (|Boolean|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp49| OBJFUN)))) "\\spad{e04dgf(n,{}es,{}fu,{}it,{}lin,{}list,{}ma,{}op,{}pr,{}sta,{}sto,{}ve,{}x,{}ifail,{}objfun)} minimizes an unconstrained nonlinear function of several variables using a pre-conditioned,{} limited memory quasi-Newton conjugate gradient method. First derivatives are required. The routine is intended for use on large scale problems. See \\downlink{Manual Page}{manpageXXe04dgf}."))) 
 NIL 
 NIL 
-(-746) 
+(-747) 
 ((|constructor| (NIL "This package uses the NAG Library to provide facilities for matrix factorizations and associated transformations.")) (|f01ref| (((|Result|) (|String|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|)) "\\spad{f01ref(wheret,{}m,{}n,{}ncolq,{}lda,{}theta,{}a,{}ifail)} returns the first \\spad{ncolq} columns of the complex \\spad{m} by \\spad{m} unitary matrix \\spad{Q},{} where \\spad{Q} is given as the product of Householder transformation matrices. See \\downlink{Manual Page}{manpageXXf01ref}.")) (|f01rdf| (((|Result|) (|String|) (|String|) (|Integer|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|)) "\\spad{f01rdf(trans,{}wheret,{}m,{}n,{}a,{}lda,{}theta,{}ncolb,{}ldb,{}b,{}ifail)} performs one of the transformations See \\downlink{Manual Page}{manpageXXf01rdf}.")) (|f01rcf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|)) "\\spad{f01rcf(m,{}n,{}lda,{}a,{}ifail)} finds the \\spad{QR} factorization of the complex \\spad{m} by \\spad{n} matrix A,{} where m>=n. See \\downlink{Manual Page}{manpageXXf01rcf}.")) (|f01qef| (((|Result|) (|String|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f01qef(wheret,{}m,{}n,{}ncolq,{}lda,{}zeta,{}a,{}ifail)} returns the first \\spad{ncolq} columns of the real \\spad{m} by \\spad{m} orthogonal matrix \\spad{Q},{} where \\spad{Q} is given as the product of Householder transformation matrices. See \\downlink{Manual Page}{manpageXXf01qef}.")) (|f01qdf| (((|Result|) (|String|) (|String|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f01qdf(trans,{}wheret,{}m,{}n,{}a,{}lda,{}zeta,{}ncolb,{}ldb,{}b,{}ifail)} performs one of the transformations See \\downlink{Manual Page}{manpageXXf01qdf}.")) (|f01qcf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f01qcf(m,{}n,{}lda,{}a,{}ifail)} finds the \\spad{QR} factorization of the real \\spad{m} by \\spad{n} matrix A,{} where m>=n. See \\downlink{Manual Page}{manpageXXf01qcf}.")) (|f01mcf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|Integer|)) (|Integer|)) "\\spad{f01mcf(n,{}avals,{}lal,{}nrow,{}ifail)} computes the Cholesky factorization of a real symmetric positive-definite variable-bandwidth matrix. See \\downlink{Manual Page}{manpageXXf01mcf}.")) (|f01maf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|List| (|Boolean|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{f01maf(n,{}nz,{}licn,{}lirn,{}abort,{}avals,{}irn,{}icn,{}droptl,{}densw,{}ifail)} computes an incomplete Cholesky factorization of a real sparse symmetric positive-definite matrix A. See \\downlink{Manual Page}{manpageXXf01maf}.")) (|f01bsf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|Boolean|) (|DoubleFloat|) (|Boolean|) (|Matrix| (|Integer|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "f01bsf(\\spad{n},{}\\spad{nz},{}licn,{}ivect,{}jvect,{}icn,{}ikeep,{}grow,{} \\indented{7}{eta,{}abort,{}idisp,{}avals,{}ifail)} factorizes a real sparse matrix using the pivotal sequence previously obtained by F01BRF when a matrix of the same sparsity pattern was factorized. See \\downlink{Manual Page}{manpageXXf01bsf}.")) (|f01brf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Boolean|) (|Boolean|) (|List| (|Boolean|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|Integer|)) "\\spad{f01brf(n,{}nz,{}licn,{}lirn,{}pivot,{}lblock,{}grow,{}abort,{}a,{}irn,{}icn,{}ifail)} factorizes a real sparse matrix. The routine either forms the LU factorization of a permutation of the entire matrix,{} or,{} optionally,{} first permutes the matrix to block lower triangular form and then only factorizes the diagonal blocks. See \\downlink{Manual Page}{manpageXXf01brf}."))) 
 NIL 
 NIL 
-(-747) 
+(-748) 
 ((|constructor| (NIL "This package uses the NAG Library to compute\\spad{\\br} \\tab{5}eigenvalues and eigenvectors of a matrix\\spad{\\br} \\tab{5} eigenvalues and eigenvectors of generalized matrix eigenvalue problems\\spad{\\br} \\tab{5}singular values and singular vectors of a matrix.")) (|f02xef| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Boolean|) (|Integer|) (|Boolean|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|)) "\\spad{f02xef(m,{}n,{}lda,{}ncolb,{}ldb,{}wantq,{}ldq,{}wantp,{}ldph,{}a,{}b,{}ifail)} returns all,{} or part,{} of the singular value decomposition of a general complex matrix. See \\downlink{Manual Page}{manpageXXf02xef}.")) (|f02wef| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Boolean|) (|Integer|) (|Boolean|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02wef(m,{}n,{}lda,{}ncolb,{}ldb,{}wantq,{}ldq,{}wantp,{}ldpt,{}a,{}b,{}ifail)} returns all,{} or part,{} of the singular value decomposition of a general real matrix. See \\downlink{Manual Page}{manpageXXf02wef}.")) (|f02fjf| (((|Result|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp27| DOT))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp28| IMAGE))) (|FileName|)) "f02fjf(\\spad{n},{}\\spad{k},{}tol,{}novecs,{}\\spad{nrx},{}lwork,{}lrwork,{} \\indented{7}{liwork,{}\\spad{m},{}noits,{}\\spad{x},{}ifail,{}dot,{}image,{}monit)} finds eigenvalues of a real sparse symmetric or generalized symmetric eigenvalue problem. See \\downlink{Manual Page}{manpageXXf02fjf}.") (((|Result|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp27| DOT))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp28| IMAGE)))) "f02fjf(\\spad{n},{}\\spad{k},{}tol,{}novecs,{}\\spad{nrx},{}lwork,{}lrwork,{} \\indented{7}{liwork,{}\\spad{m},{}noits,{}\\spad{x},{}ifail,{}dot,{}image)} finds eigenvalues of a real sparse symmetric or generalized symmetric eigenvalue problem. See \\downlink{Manual Page}{manpageXXf02fjf}.")) (|f02bjf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Boolean|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02bjf(n,{}ia,{}ib,{}eps1,{}matv,{}iv,{}a,{}b,{}ifail)} calculates all the eigenvalues and,{} if required,{} all the eigenvectors of the generalized eigenproblem Ax=(lambda)\\spad{Bx} where A and \\spad{B} are real,{} square matrices,{} using the \\spad{QZ} algorithm. See \\downlink{Manual Page}{manpageXXf02bjf}.")) (|f02bbf| (((|Result|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02bbf(ia,{}n,{}alb,{}ub,{}m,{}iv,{}a,{}ifail)} calculates selected eigenvalues of a real symmetric matrix by reduction to tridiagonal form,{} bisection and inverse iteration,{} where the selected eigenvalues lie within a given interval. See \\downlink{Manual Page}{manpageXXf02bbf}.")) (|f02axf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{f02axf(ar,{}iar,{}\\spad{ai},{}iai,{}n,{}ivr,{}ivi,{}ifail)} calculates all the eigenvalues of a complex Hermitian matrix. See \\downlink{Manual Page}{manpageXXf02axf}.")) (|f02awf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02awf(iar,{}iai,{}n,{}ar,{}\\spad{ai},{}ifail)} calculates all the eigenvalues of a complex Hermitian matrix. See \\downlink{Manual Page}{manpageXXf02awf}.")) (|f02akf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02akf(iar,{}iai,{}n,{}ivr,{}ivi,{}ar,{}\\spad{ai},{}ifail)} calculates all the eigenvalues of a complex matrix. See \\downlink{Manual Page}{manpageXXf02akf}.")) (|f02ajf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02ajf(iar,{}iai,{}n,{}ar,{}\\spad{ai},{}ifail)} calculates all the eigenvalue. See \\downlink{Manual Page}{manpageXXf02ajf}.")) (|f02agf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02agf(ia,{}n,{}ivr,{}ivi,{}a,{}ifail)} calculates all the eigenvalues of a real unsymmetric matrix. See \\downlink{Manual Page}{manpageXXf02agf}.")) (|f02aff| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02aff(ia,{}n,{}a,{}ifail)} calculates all the eigenvalues of a real unsymmetric matrix. See \\downlink{Manual Page}{manpageXXf02aff}.")) (|f02aef| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02aef(ia,{}ib,{}n,{}iv,{}a,{}b,{}ifail)} calculates all the eigenvalues of Ax=(lambda)\\spad{Bx},{} where A is a real symmetric matrix and \\spad{B} is a real symmetric positive-definite matrix. See \\downlink{Manual Page}{manpageXXf02aef}.")) (|f02adf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02adf(ia,{}ib,{}n,{}a,{}b,{}ifail)} calculates all the eigenvalues of Ax=(lambda)\\spad{Bx},{} where A is a real symmetric matrix and \\spad{B} is a real symmetric positive- definite matrix. See \\downlink{Manual Page}{manpageXXf02adf}.")) (|f02abf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{f02abf(a,{}ia,{}n,{}iv,{}ifail)} calculates all the eigenvalues of a real symmetric matrix. See \\downlink{Manual Page}{manpageXXf02abf}.")) (|f02aaf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f02aaf(ia,{}n,{}a,{}ifail)} calculates all the eigenvalue. See \\downlink{Manual Page}{manpageXXf02aaf}."))) 
 NIL 
 NIL 
-(-748) 
+(-749) 
 ((|constructor| (NIL "This package uses the NAG Library to solve the matrix equation \\spad{\\br} \\tab{5}\\axiom{AX=B},{} where \\axiom{\\spad{B}}\\spad{\\br} may be a single vector or a matrix of multiple right-hand sides. The matrix \\axiom{A} may be real,{} complex,{} symmetric,{} Hermitian positive- definite,{} or sparse. It may also be rectangular,{} in which case a least-squares solution is obtained.")) (|f04qaf| (((|Result|) (|Integer|) (|Integer|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp30| APROD)))) "f04qaf(\\spad{m},{}\\spad{n},{}damp,{}atol,{}btol,{}conlim,{}itnlim,{}msglvl,{} \\indented{7}{lrwork,{}liwork,{}\\spad{b},{}ifail,{}aprod)} solves sparse unsymmetric equations,{} sparse linear least- squares problems and sparse damped linear least-squares problems,{} using a Lanczos algorithm. See \\downlink{Manual Page}{manpageXXf04qaf}.")) (|f04mcf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{f04mcf(n,{}al,{}lal,{}d,{}nrow,{}ir,{}b,{}nrb,{}iselct,{}nrx,{}ifail)} computes the approximate solution of a system of real linear equations with multiple right-hand sides,{} AX=B,{} where A is a symmetric positive-definite variable-bandwidth matrix,{} which has previously been factorized by F01MCF. Related systems may also be solved. See \\downlink{Manual Page}{manpageXXf04mcf}.")) (|f04mbf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Boolean|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp28| APROD))) (|Union| (|:| |fn| (|FileName|)) (|:| |fp| (|Asp34| MSOLVE)))) "\\spad{f04mbf(n,{}b,{}precon,{}shift,{}itnlim,{}msglvl,{}lrwork,{} ++ liwork,{}rtol,{}ifail,{}aprod,{}msolve)} solves a system of real sparse symmetric linear equations using a Lanczos algorithm. See \\downlink{Manual Page}{manpageXXf04mbf}.")) (|f04maf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|Integer|)) (|Integer|) (|Matrix| (|Integer|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|Integer|)) (|Integer|)) "f04maf(\\spad{n},{}\\spad{nz},{}avals,{}licn,{}irn,{}lirn,{}icn,{}wkeep,{}ikeep,{} \\indented{7}{inform,{}\\spad{b},{}acc,{}noits,{}ifail)} \\spad{e} a sparse symmetric positive-definite system of linear equations,{} Ax=b,{} using a pre-conditioned conjugate gradient method,{} where A has been factorized by F01MAF. See \\downlink{Manual Page}{manpageXXf04maf}.")) (|f04jgf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|DoubleFloat|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f04jgf(m,{}n,{}nra,{}tol,{}lwork,{}a,{}b,{}ifail)} finds the solution of a linear least-squares problem,{} Ax=b ,{} where A is a real \\spad{m} by \\spad{n} (m>=n) matrix and \\spad{b} is an \\spad{m} element vector. If the matrix of observations is not of full rank,{} then the minimal least-squares solution is returned. See \\downlink{Manual Page}{manpageXXf04jgf}.")) (|f04faf| (((|Result|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f04faf(job,{}n,{}d,{}e,{}b,{}ifail)} calculates the approximate solution of a set of real symmetric positive-definite tridiagonal linear equations. See \\downlink{Manual Page}{manpageXXf04faf}.")) (|f04axf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|Integer|)) (|Matrix| (|Integer|)) (|Integer|) (|Matrix| (|Integer|)) (|Matrix| (|DoubleFloat|))) "\\spad{f04axf(n,{}a,{}licn,{}icn,{}ikeep,{}mtype,{}idisp,{}rhs)} calculates the approximate solution of a set of real sparse linear equations with a single right-hand side,{} Ax=b or \\indented{1}{\\spad{T}} A \\spad{x=b},{} where A has been factorized by F01BRF or F01BSF. See \\downlink{Manual Page}{manpageXXf04axf}.")) (|f04atf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{f04atf(a,{}ia,{}b,{}n,{}iaa,{}ifail)} calculates the accurate solution of a set of real linear equations with a single right-hand side,{} using an LU factorization with partial pivoting,{} and iterative refinement. See \\downlink{Manual Page}{manpageXXf04atf}.")) (|f04asf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f04asf(ia,{}b,{}n,{}a,{}ifail)} calculates the accurate solution of a set of real symmetric positive-definite linear equations with a single right- hand side,{} Ax=b,{} using a Cholesky factorization and iterative refinement. See \\downlink{Manual Page}{manpageXXf04asf}.")) (|f04arf| (((|Result|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|)) "\\spad{f04arf(ia,{}b,{}n,{}a,{}ifail)} calculates the approximate solution of a set of real linear equations with a single right-hand side,{} using an LU factorization with partial pivoting. See \\downlink{Manual Page}{manpageXXf04arf}.")) (|f04adf| (((|Result|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|Complex| (|DoubleFloat|))) (|Integer|)) "\\spad{f04adf(ia,{}b,{}ib,{}n,{}m,{}ic,{}a,{}ifail)} calculates the approximate solution of a set of complex linear equations with multiple right-hand sides,{} using an LU factorization with partial pivoting. See \\downlink{Manual Page}{manpageXXf04adf}."))) 
 NIL 
 NIL 
-(-749) 
+(-750) 
 ((|constructor| (NIL "This package uses the NAG Library to compute matrix factorizations,{} and to solve systems of linear equations following the matrix factorizations.")) (|f07fef| (((|Result|) (|String|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|))) "\\spad{f07fef(uplo,{}n,{}nrhs,{}a,{}lda,{}ldb,{}b)} (DPOTRS) solves a real symmetric positive-definite system of linear equations with multiple right-hand sides,{} AX=B,{} where A has been factorized by F07FDF (DPOTRF). See \\downlink{Manual Page}{manpageXXf07fef}.")) (|f07fdf| (((|Result|) (|String|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|))) "\\spad{f07fdf(uplo,{}n,{}lda,{}a)} (DPOTRF) computes the Cholesky factorization of a real symmetric positive-definite matrix. See \\downlink{Manual Page}{manpageXXf07fdf}.")) (|f07aef| (((|Result|) (|String|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Matrix| (|Integer|)) (|Integer|) (|Matrix| (|DoubleFloat|))) "\\spad{f07aef(trans,{}n,{}nrhs,{}a,{}lda,{}ipiv,{}ldb,{}b)} (DGETRS) solves a real system of linear equations with \\indented{36}{\\spad{T}} multiple right-hand sides,{} AX=B or A \\spad{X=B},{} where A has been factorized by F07ADF (DGETRF). See \\downlink{Manual Page}{manpageXXf07aef}.")) (|f07adf| (((|Result|) (|Integer|) (|Integer|) (|Integer|) (|Matrix| (|DoubleFloat|))) "\\spad{f07adf(m,{}n,{}lda,{}a)} (DGETRF) computes the LU factorization of a real \\spad{m} by \\spad{n} matrix. See \\downlink{Manual Page}{manpageXXf07adf}."))) 
 NIL 
 NIL 
-(-750) 
+(-751) 
 ((|constructor| (NIL "This package uses the NAG Library to compute some commonly occurring physical and mathematical functions.")) (|s21bdf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{s21bdf(x,{}y,{}z,{}r,{}ifail)} returns a value of the symmetrised elliptic integral of the third kind,{} via the routine name. See \\downlink{Manual Page}{manpageXXs21bdf}.")) (|s21bcf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{s21bcf(x,{}y,{}z,{}ifail)} returns a value of the symmetrised elliptic integral of the second kind,{} via the routine name. See \\downlink{Manual Page}{manpageXXs21bcf}.")) (|s21bbf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{s21bbf(x,{}y,{}z,{}ifail)} returns a value of the symmetrised elliptic integral of the first kind,{} via the routine name. See \\downlink{Manual Page}{manpageXXs21bbf}.")) (|s21baf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{s21baf(x,{}y,{}ifail)} returns a value of an elementary integral,{} which occurs as a degenerate case of an elliptic integral of the first kind,{} via the routine name. See \\downlink{Manual Page}{manpageXXs21baf}.")) (|s20adf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s20adf(x,{}ifail)} returns a value for the Fresnel Integral \\spad{C}(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs20adf}.")) (|s20acf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s20acf(x,{}ifail)} returns a value for the Fresnel Integral \\spad{S}(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs20acf}.")) (|s19adf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s19adf(x,{}ifail)} returns a value for the Kelvin function kei(\\spad{x}) via the routine name. See \\downlink{Manual Page}{manpageXXs19adf}.")) (|s19acf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s19acf(x,{}ifail)} returns a value for the Kelvin function ker(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs19acf}.")) (|s19abf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s19abf(x,{}ifail)} returns a value for the Kelvin function bei(\\spad{x}) via the routine name. See \\downlink{Manual Page}{manpageXXs19abf}.")) (|s19aaf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s19aaf(x,{}ifail)} returns a value for the Kelvin function ber(\\spad{x}) via the routine name. See \\downlink{Manual Page}{manpageXXs19aaf}.")) (|s18def| (((|Result|) (|DoubleFloat|) (|Complex| (|DoubleFloat|)) (|Integer|) (|String|) (|Integer|)) "\\spad{s18def(fnu,{}z,{}n,{}scale,{}ifail)} returns a sequence of values for the modified Bessel functions \\indented{1}{\\spad{I}\\space{6}(\\spad{z}) for complex \\spad{z},{} non-negative (nu) and} \\indented{2}{(nu)\\spad{+n}} \\spad{n=0},{}1,{}...,{}\\spad{N}-1,{} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs18def}.")) (|s18dcf| (((|Result|) (|DoubleFloat|) (|Complex| (|DoubleFloat|)) (|Integer|) (|String|) (|Integer|)) "\\spad{s18dcf(fnu,{}z,{}n,{}scale,{}ifail)} returns a sequence of values for the modified Bessel functions \\indented{1}{\\spad{K}\\space{6}(\\spad{z}) for complex \\spad{z},{} non-negative (nu) and} \\indented{2}{(nu)\\spad{+n}} \\spad{n=0},{}1,{}...,{}\\spad{N}-1,{} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs18dcf}.")) (|s18aff| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s18aff(x,{}ifail)} returns a value for the modified Bessel Function \\indented{1}{\\spad{I} (\\spad{x}),{} via the routine name.} \\indented{2}{1} See \\downlink{Manual Page}{manpageXXs18aff}.")) (|s18aef| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s18aef(x,{}ifail)} returns the value of the modified Bessel Function \\indented{1}{\\spad{I} (\\spad{x}),{} via the routine name.} \\indented{2}{0} See \\downlink{Manual Page}{manpageXXs18aef}.")) (|s18adf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s18adf(x,{}ifail)} returns the value of the modified Bessel Function \\indented{1}{\\spad{K} (\\spad{x}),{} via the routine name.} \\indented{2}{1} See \\downlink{Manual Page}{manpageXXs18adf}.")) (|s18acf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s18acf(x,{}ifail)} returns the value of the modified Bessel Function \\indented{1}{\\spad{K} (\\spad{x}),{} via the routine name.} \\indented{2}{0} See \\downlink{Manual Page}{manpageXXs18acf}.")) (|s17dlf| (((|Result|) (|Integer|) (|DoubleFloat|) (|Complex| (|DoubleFloat|)) (|Integer|) (|String|) (|Integer|)) "\\spad{s17dlf(m,{}fnu,{}z,{}n,{}scale,{}ifail)} returns a sequence of values for the Hankel functions \\indented{2}{(1)\\space{11}(2)} \\indented{1}{\\spad{H}\\space{6}(\\spad{z}) or \\spad{H}\\space{6}(\\spad{z}) for complex \\spad{z},{} non-negative (nu) and} \\indented{2}{(nu)\\spad{+n}\\space{8}(nu)\\spad{+n}} \\spad{n=0},{}1,{}...,{}\\spad{N}-1,{} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs17dlf}.")) (|s17dhf| (((|Result|) (|String|) (|Complex| (|DoubleFloat|)) (|String|) (|Integer|)) "\\spad{s17dhf(deriv,{}z,{}scale,{}ifail)} returns the value of the Airy function \\spad{Bi}(\\spad{z}) or its derivative Bi'(\\spad{z}) for complex \\spad{z},{} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs17dhf}.")) (|s17dgf| (((|Result|) (|String|) (|Complex| (|DoubleFloat|)) (|String|) (|Integer|)) "\\spad{s17dgf(deriv,{}z,{}scale,{}ifail)} returns the value of the Airy function \\spad{Ai}(\\spad{z}) or its derivative Ai'(\\spad{z}) for complex \\spad{z},{} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs17dgf}.")) (|s17def| (((|Result|) (|DoubleFloat|) (|Complex| (|DoubleFloat|)) (|Integer|) (|String|) (|Integer|)) "\\spad{s17def(fnu,{}z,{}n,{}scale,{}ifail)} returns a sequence of values for the Bessel functions \\indented{1}{\\spad{J}\\space{6}(\\spad{z}) for complex \\spad{z},{} non-negative (nu) and \\spad{n=0},{}1,{}...,{}\\spad{N}-1,{}} \\indented{2}{(nu)\\spad{+n}} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs17def}.")) (|s17dcf| (((|Result|) (|DoubleFloat|) (|Complex| (|DoubleFloat|)) (|Integer|) (|String|) (|Integer|)) "\\spad{s17dcf(fnu,{}z,{}n,{}scale,{}ifail)} returns a sequence of values for the Bessel functions \\indented{1}{\\spad{Y}\\space{6}(\\spad{z}) for complex \\spad{z},{} non-negative (nu) and \\spad{n=0},{}1,{}...,{}\\spad{N}-1,{}} \\indented{2}{(nu)\\spad{+n}} with an option for exponential scaling. See \\downlink{Manual Page}{manpageXXs17dcf}.")) (|s17akf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17akf(x,{}ifail)} returns a value for the derivative of the Airy function \\spad{Bi}(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs17akf}.")) (|s17ajf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17ajf(x,{}ifail)} returns a value of the derivative of the Airy function \\spad{Ai}(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs17ajf}.")) (|s17ahf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17ahf(x,{}ifail)} returns a value of the Airy function,{} \\spad{Bi}(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs17ahf}.")) (|s17agf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17agf(x,{}ifail)} returns a value for the Airy function,{} \\spad{Ai}(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs17agf}.")) (|s17aff| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17aff(x,{}ifail)} returns the value of the Bessel Function \\indented{1}{\\spad{J} (\\spad{x}),{} via the routine name.} \\indented{2}{1} See \\downlink{Manual Page}{manpageXXs17aff}.")) (|s17aef| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17aef(x,{}ifail)} returns the value of the Bessel Function \\indented{1}{\\spad{J} (\\spad{x}),{} via the routine name.} \\indented{2}{0} See \\downlink{Manual Page}{manpageXXs17aef}.")) (|s17adf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17adf(x,{}ifail)} returns the value of the Bessel Function \\indented{1}{\\spad{Y} (\\spad{x}),{} via the routine name.} \\indented{2}{1} See \\downlink{Manual Page}{manpageXXs17adf}.")) (|s17acf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s17acf(x,{}ifail)} returns the value of the Bessel Function \\indented{1}{\\spad{Y} (\\spad{x}),{} via the routine name.} \\indented{2}{0} See \\downlink{Manual Page}{manpageXXs17acf}.")) (|s15aef| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s15aef(x,{}ifail)} returns the value of the error function erf(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs15aef}.")) (|s15adf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s15adf(x,{}ifail)} returns the value of the complementary error function,{} erfc(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs15adf}.")) (|s14baf| (((|Result|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|)) "\\spad{s14baf(a,{}x,{}tol,{}ifail)} computes values for the incomplete gamma functions \\spad{P}(a,{}\\spad{x}) and \\spad{Q}(a,{}\\spad{x}). See \\downlink{Manual Page}{manpageXXs14baf}.")) (|s14abf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s14abf(x,{}ifail)} returns a value for the log,{} \\spad{ln}(Gamma(\\spad{x})),{} via the routine name. See \\downlink{Manual Page}{manpageXXs14abf}.")) (|s14aaf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s14aaf(x,{}ifail)} returns the value of the Gamma function (Gamma)(\\spad{x}),{} via the routine name. See \\downlink{Manual Page}{manpageXXs14aaf}.")) (|s13adf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s13adf(x,{}ifail)} returns the value of the sine integral See \\downlink{Manual Page}{manpageXXs13adf}.")) (|s13acf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s13acf(x,{}ifail)} returns the value of the cosine integral See \\downlink{Manual Page}{manpageXXs13acf}.")) (|s13aaf| (((|Result|) (|DoubleFloat|) (|Integer|)) "\\spad{s13aaf(x,{}ifail)} returns the value of the exponential integral \\indented{1}{\\spad{E} (\\spad{x}),{} via the routine name.} \\indented{2}{1} See \\downlink{Manual Page}{manpageXXs13aaf}.")) (|s01eaf| (((|Result|) (|Complex| (|DoubleFloat|)) (|Integer|)) "\\spad{s01eaf(z,{}ifail)} S01EAF evaluates the exponential function exp(\\spad{z}) ,{} for complex \\spad{z}. See \\downlink{Manual Page}{manpageXXs01eaf}."))) 
 NIL 
 NIL 
-(-751) 
+(-752) 
 ((|constructor| (NIL "Support functions for the NAG Library Link functions")) (|restorePrecision| (((|Void|)) "\\spad{restorePrecision()} \\undocumented{}")) (|checkPrecision| (((|Boolean|)) "\\spad{checkPrecision()} \\undocumented{}")) (|dimensionsOf| (((|SExpression|) (|Symbol|) (|Matrix| (|Integer|))) "\\spad{dimensionsOf(s,{}m)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|Matrix| (|DoubleFloat|))) "\\spad{dimensionsOf(s,{}m)} \\undocumented{}")) (|aspFilename| (((|String|) (|String|)) "\\spad{aspFilename(\"f\")} returns a String consisting of \\spad{\"f\"} suffixed with \\indented{1}{an extension identifying the current AXIOM session.}")) (|fortranLinkerArgs| (((|String|)) "\\spad{fortranLinkerArgs()} returns the current linker arguments")) (|fortranCompilerName| (((|String|)) "\\spad{fortranCompilerName()} returns the name of the currently selected \\indented{1}{Fortran compiler}"))) 
 NIL 
 NIL 
-(-752 S) 
+(-753 S) 
 ((|constructor| (NIL "NonAssociativeRng is a basic ring-type structure,{} not necessarily commutative or associative,{} and not necessarily with unit.\\spad{\\br} Axioms\\spad{\\br} \\tab{5}\\spad{x*}(\\spad{y+z}) = x*y + \\spad{x*z}\\spad{\\br} \\tab{5}(x+y)\\spad{*z} = \\spad{x*z} + \\spad{y*z}\\spad{\\br} \\blankline Common Additional Axioms\\spad{\\br} \\tab{5}noZeroDivisors\\tab{5} ab = 0 \\spad{=>} \\spad{a=0} or \\spad{b=0}")) (|antiCommutator| (($ $ $) "\\spad{antiCommutator(a,{}b)} returns \\spad{a*b+b*a}.")) (|commutator| (($ $ $) "\\spad{commutator(a,{}b)} returns \\spad{a*b-b*a}.")) (|associator| (($ $ $ $) "\\spad{associator(a,{}b,{}c)} returns \\spad{(a*b)*c-a*(b*c)}."))) 
 NIL 
 NIL 
-(-753) 
+(-754) 
 ((|constructor| (NIL "NonAssociativeRng is a basic ring-type structure,{} not necessarily commutative or associative,{} and not necessarily with unit.\\spad{\\br} Axioms\\spad{\\br} \\tab{5}\\spad{x*}(\\spad{y+z}) = x*y + \\spad{x*z}\\spad{\\br} \\tab{5}(x+y)\\spad{*z} = \\spad{x*z} + \\spad{y*z}\\spad{\\br} \\blankline Common Additional Axioms\\spad{\\br} \\tab{5}noZeroDivisors\\tab{5} ab = 0 \\spad{=>} \\spad{a=0} or \\spad{b=0}")) (|antiCommutator| (($ $ $) "\\spad{antiCommutator(a,{}b)} returns \\spad{a*b+b*a}.")) (|commutator| (($ $ $) "\\spad{commutator(a,{}b)} returns \\spad{a*b-b*a}.")) (|associator| (($ $ $ $) "\\spad{associator(a,{}b,{}c)} returns \\spad{(a*b)*c-a*(b*c)}."))) 
 NIL 
 NIL 
-(-754 S) 
+(-755 S) 
 ((|constructor| (NIL "A NonAssociativeRing is a non associative \\spad{rng} which has a unit,{} the multiplication is not necessarily commutative or associative.")) (|coerce| (($ (|Integer|)) "\\spad{coerce(n)} coerces the integer \\spad{n} to an element of the ring.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring."))) 
 NIL 
 NIL 
-(-755) 
+(-756) 
 ((|constructor| (NIL "A NonAssociativeRing is a non associative \\spad{rng} which has a unit,{} the multiplication is not necessarily commutative or associative.")) (|coerce| (($ (|Integer|)) "\\spad{coerce(n)} coerces the integer \\spad{n} to an element of the ring.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring."))) 
 NIL 
 NIL 
-(-756 |Par|) 
+(-757 |Par|) 
 ((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the complex rational numbers. The results are expressed either as complex floating numbers or as complex rational numbers depending on the type of the precision parameter.")) (|complexEigenvectors| (((|List| (|Record| (|:| |outval| (|Complex| |#1|)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| |#1|)))))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvectors(m,{}eps)} returns a list of records each one containing a complex eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} and are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|complexEigenvalues| (((|List| (|Complex| |#1|)) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvalues(m,{}eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) (|Symbol|)) "\\spad{characteristicPolynomial(m,{}x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over Complex Rationals with variable \\spad{x}.") (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|))))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over complex rationals with a new symbol as variable."))) 
 NIL 
 NIL 
-(-757 -1478) 
+(-758 -1564) 
 ((|constructor| (NIL "\\spadtype{NumericContinuedFraction} provides functions for converting floating point numbers to continued fractions.")) (|continuedFraction| (((|ContinuedFraction| (|Integer|)) |#1|) "\\spad{continuedFraction(f)} converts the floating point number \\spad{f} to a reduced continued fraction."))) 
 NIL 
 NIL 
-(-758 P -1478) 
+(-759 P -1564) 
 ((|constructor| (NIL "This package provides a division and related operations for \\spadtype{MonogenicLinearOperator}\\spad{s} over a \\spadtype{Field}. Since the multiplication is in general non-commutative,{} these operations all have left- and right-hand versions. This package provides the operations based on left-division.\\spad{\\br} \\tab{5}[\\spad{q},{}\\spad{r}] = leftDivide(a,{}\\spad{b}) means a=b*q+r")) (|leftLcm| ((|#1| |#1| |#1|) "\\spad{leftLcm(a,{}b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftGcd| ((|#1| |#1| |#1|) "\\spad{leftGcd(a,{}b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftExactQuotient(a,{}b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| ((|#1| |#1| |#1|) "\\spad{leftRemainder(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| ((|#1| |#1| |#1|) "\\spad{leftQuotient(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{leftDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}."))) 
 NIL 
 NIL 
-(-759 -1478) 
+(-760 -1564) 
 ((|constructor| (NIL "This package exports Newton interpolation for the special case where the result is known to be in the original integral domain The packages defined in this file provide fast fraction free rational interpolation algorithms. (see \\spad{FAMR2},{} FFFG,{} FFFGF,{} NEWTON)")) (|newton| (((|SparseUnivariatePolynomial| |#1|) (|List| |#1|)) "\\spad{newton}(\\spad{l}) returns the interpolating polynomial for the values \\spad{l},{} where the \\spad{x}-coordinates are assumed to be [1,{}2,{}3,{}...,{}\\spad{n}] and the coefficients of the interpolating polynomial are known to be in the domain \\spad{F}. \\spad{I}.\\spad{e}.,{} it is a very streamlined version for a special case of interpolation."))) 
 NIL 
 NIL 
-(-760 UP -1478) 
+(-761 UP -1564) 
 ((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}."))) 
 NIL 
 NIL 
-(-761) 
+(-762) 
 ((|constructor| (NIL "\\axiomType{NumericalIntegrationProblem} is a \\axiom{domain} for the representation of Numerical Integration problems for use by ANNA. \\blankline The representation is a Union of two record types - one for integration of a function of one variable: \\blankline \\axiomType{Record}(var:\\axiomType{Symbol},{}\\spad{\\br} \\spad{fn:}\\axiomType{Expression DoubleFloat},{}\\spad{\\br} range:\\axiomType{Segment OrderedCompletion DoubleFloat},{}\\spad{\\br} abserr:\\axiomType{DoubleFloat},{}\\spad{\\br} relerr:\\axiomType{DoubleFloat},{}) \\blankline and one for multivariate integration: \\blankline \\axiomType{Record}(\\spad{fn:}\\axiomType{Expression DoubleFloat},{}\\spad{\\br} range:\\axiomType{List Segment OrderedCompletion DoubleFloat},{}\\spad{\\br} abserr:\\axiomType{DoubleFloat},{}\\spad{\\br} relerr:\\axiomType{DoubleFloat},{}). \\blankline")) (|retract| (((|Union| (|:| |nia| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |mdnia| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))))) $) "\\spad{retract(x)} is not documented")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(x)} is not documented") (($ (|Union| (|:| |nia| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |mdnia| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))))) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} is not documented"))) 
 NIL 
 NIL 
-(-762 R) 
+(-763 R) 
 ((|constructor| (NIL "NonLinearSolvePackage is an interface to \\spadtype{SystemSolvePackage} that attempts to retract the coefficients of the equations before solving. The solutions are given in the algebraic closure of \\spad{R} whenever possible.")) (|solve| (((|List| (|List| (|Equation| (|Fraction| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|))) "\\spad{solve(lp)} finds the solution in the algebraic closure of \\spad{R} of the list \\spad{lp} of rational functions with respect to all the symbols appearing in \\spad{lp}.") (((|List| (|List| (|Equation| (|Fraction| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{solve(lp,{}lv)} finds the solutions in the algebraic closure of \\spad{R} of the list \\spad{lp} of rational functions with respect to the list of symbols \\spad{lv}.")) (|solveInField| (((|List| (|List| (|Equation| (|Fraction| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|))) "\\spad{solveInField(lp)} finds the solution of the list \\spad{lp} of rational functions with respect to all the symbols appearing in \\spad{lp}.") (((|List| (|List| (|Equation| (|Fraction| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{solveInField(lp,{}lv)} finds the solutions of the list \\spad{lp} of rational functions with respect to the list of symbols \\spad{lv}."))) 
 NIL 
 NIL 
-(-763) 
+(-764) 
 ((|constructor| (NIL "\\spadtype{NonNegativeInteger} provides functions for non-negative integers.")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative,{} that is,{} \\spad{x*y = y*x}.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(a,{}i)} shift \\spad{a} by \\spad{i} bits.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,{}b)} returns the quotient of \\spad{a} and \\spad{b},{} or \"failed\" if \\spad{b} is zero or \\spad{a} rem \\spad{b} is zero.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(a,{}b)} returns a record containing both remainder and quotient.")) (|gcd| (($ $ $) "\\spad{gcd(a,{}b)} computes the greatest common divisor of two non negative integers \\spad{a} and \\spad{b}.")) (|rem| (($ $ $) "\\spad{a rem b} returns the remainder of \\spad{a} and \\spad{b}.")) (|quo| (($ $ $) "\\spad{a quo b} returns the quotient of \\spad{a} and \\spad{b},{} forgetting the remainder."))) 
-(((-4523 "*") . T)) 
+(((-4537 "*") . T)) 
 NIL 
-(-764 R -1478) 
+(-765 R -1564) 
 ((|constructor| (NIL "NonLinearFirstOrderODESolver provides a function for finding closed form first integrals of nonlinear ordinary differential equations of order 1.")) (|solve| (((|Union| |#2| "failed") |#2| |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(M(x,{}y),{} N(x,{}y),{} y,{} x)} returns \\spad{F(x,{}y)} such that \\spad{F(x,{}y) = c} for a constant \\spad{c} is a first integral of the equation \\spad{M(x,{}y) dx + N(x,{}y) dy = 0},{} or \"failed\" if no first-integral can be found."))) 
 NIL 
 NIL 
-(-765 S) 
+(-766 S) 
 ((|constructor| (NIL "\\spadtype{NoneFunctions1} implements functions on \\spadtype{None}. It particular it includes a particulary dangerous coercion from any other type to \\spadtype{None}.")) (|coerce| (((|None|) |#1|) "\\spad{coerce(x)} changes \\spad{x} into an object of type \\spadtype{None}."))) 
 NIL 
 NIL 
-(-766) 
+(-767) 
 ((|constructor| (NIL "\\spadtype{None} implements a type with no objects. It is mainly used in technical situations where such a thing is needed (\\spadignore{e.g.} the interpreter and some of the internal \\spadtype{Expression} code)."))) 
 NIL 
 NIL 
-(-767 R |PolR| E |PolE|) 
+(-768 R |PolR| E |PolE|) 
 ((|constructor| (NIL "This package implements the norm of a polynomial with coefficients in a monogenic algebra (using resultants)")) (|norm| ((|#2| |#4|) "\\spad{norm q} returns the norm of \\spad{q},{} \\spadignore{i.e.} the product of all the conjugates of \\spad{q}."))) 
 NIL 
 NIL 
-(-768 R E V P TS) 
+(-769 R E V P TS) 
 ((|constructor| (NIL "A package for computing normalized assocites of univariate polynomials with coefficients in a tower of simple extensions of a field.")) (|normInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normInvertible?(\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}\\spad{ts})} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}\\spad{ts})} returns a normalized polynomial \\axiom{\\spad{n}} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts} such that \\axiom{\\spad{n}} and \\axiom{\\spad{p}} are associates \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} and assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|recip| (((|Record| (|:| |num| |#4|) (|:| |den| |#4|)) |#4| |#5|) "\\axiom{recip(\\spad{p},{}\\spad{ts})} returns the inverse of \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}."))) 
 NIL 
 NIL 
-(-769 -1478 |ExtF| |SUEx| |ExtP| |n|) 
+(-770 -1564 |ExtF| |SUEx| |ExtP| |n|) 
 ((|constructor| (NIL "This package has no description")) (|Frobenius| ((|#4| |#4|) "\\spad{Frobenius(x)} \\undocumented")) (|retractIfCan| (((|Union| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) "failed") |#4|) "\\spad{retractIfCan(x)} \\undocumented")) (|normFactors| (((|List| |#4|) |#4|) "\\spad{normFactors(x)} \\undocumented"))) 
 NIL 
 NIL 
-(-770 -1478) 
+(-771 -1564) 
 ((|constructor| (NIL "This is an implmenentation of the Nottingham Group"))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-771 BP E OV R P) 
+(-772 BP E OV R P) 
 ((|constructor| (NIL "Package for the determination of the coefficients in the lifting process. Used by \\spadtype{MultivariateLifting}. This package will work for every euclidean domain \\spad{R} which has property \\spad{F},{} \\spadignore{i.e.} there exists a factor operation in \\spad{R[x]}.")) (|listexp| (((|List| (|NonNegativeInteger|)) |#1|) "\\spad{listexp }\\undocumented")) (|npcoef| (((|Record| (|:| |deter| (|List| (|SparseUnivariatePolynomial| |#5|))) (|:| |dterm| (|List| (|List| (|Record| (|:| |expt| (|NonNegativeInteger|)) (|:| |pcoef| |#5|))))) (|:| |nfacts| (|List| |#1|)) (|:| |nlead| (|List| |#5|))) (|SparseUnivariatePolynomial| |#5|) (|List| |#1|) (|List| |#5|)) "\\spad{npcoef }\\undocumented"))) 
 NIL 
 NIL 
-(-772 K |PolyRing| E -1965) 
+(-773 K |PolyRing| E -4391) 
 ((|constructor| (NIL "The following is part of the PAFF package"))) 
 NIL 
 NIL 
-(-773 |Par|) 
+(-774 |Par|) 
 ((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the Rational Numbers. The results are expressed as floating numbers or as rational numbers depending on the type of the parameter Par.")) (|realEigenvectors| (((|List| (|Record| (|:| |outval| |#1|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#1|))))) (|Matrix| (|Fraction| (|Integer|))) |#1|) "\\spad{realEigenvectors(m,{}eps)} returns a list of records each one containing a real eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} as floats or rational numbers depending on the type of \\spad{eps} .")) (|realEigenvalues| (((|List| |#1|) (|Matrix| (|Fraction| (|Integer|))) |#1|) "\\spad{realEigenvalues(m,{}eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as floats or rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Fraction| (|Integer|))) (|Matrix| (|Fraction| (|Integer|))) (|Symbol|)) "\\spad{characteristicPolynomial(m,{}x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over \\spad{RN} with variable \\spad{x}. Fraction \\spad{P} \\spad{RN}.") (((|Polynomial| (|Fraction| (|Integer|))) (|Matrix| (|Fraction| (|Integer|)))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over \\spad{RN} with a new symbol as variable."))) 
 NIL 
 NIL 
-(-774 K) 
+(-775 K) 
 ((|constructor| (NIL "This domain is part of the PAFF package"))) 
-(((-4523 "*") . T) (-4514 . T) (-4513 . T) (-4519 . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-1102))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-568)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-568)) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| |k| (-568)) (|:| |c| |#1|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-568))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161)))))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-2 (|:| |k| (-568)) (|:| |c| |#1|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| |k| (-568)) (|:| |c| |#1|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE |k|) (QUOTE (-568))) (LIST (QUOTE |:|) (QUOTE |c|) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| |k| (-568)) (|:| |c| |#1|)) (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568)))))) 
-(-775 R |VarSet|) 
+(((-4537 "*") . T) (-4528 . T) (-4527 . T) (-4533 . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-1103))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-569)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-569)) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| |k| (-569)) (|:| |c| |#1|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-569))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-2 (|:| |k| (-569)) (|:| |c| |#1|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| |k| (-569)) (|:| |c| |#1|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE |k|) (QUOTE (-569))) (LIST (QUOTE |:|) (QUOTE |c|) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| |k| (-569)) (|:| |c| |#1|)) (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569)))))) 
+(-776 R |VarSet|) 
 ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) 
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-(-776 R S) 
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+(-777 R S) 
 ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) 
 NIL 
 NIL 
-(-777 R) 
-((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedResultant2}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedResultant1}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the fmecg from NewSparseUnivariatePolynomial operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * x**e * \\spad{p2}} where \\axiom{\\spad{x}} is \\axiom{monomial(1,{}1)}"))) 
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 (-778 R) 
+((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedResultant2}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedResultant1}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the fmecg from NewSparseUnivariatePolynomial operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * x**e * \\spad{p2}} where \\axiom{\\spad{x}} is \\axiom{monomial(1,{}1)}"))) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4531 |has| |#1| (-366)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-1137))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasCategory| |#1| (QUOTE (-226))) (|HasAttribute| |#1| (QUOTE -4533)) (|HasCategory| |#1| (QUOTE (-454))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-779 R) 
 ((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,{}r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,{}r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,{}r)} \\undocumented"))) 
 NIL 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568)))))) 
-(-779 R E V P) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569)))))) 
+(-780 R E V P) 
 ((|constructor| (NIL "The category of normalized triangular sets. A triangular set \\spad{ts} is said normalized if for every algebraic variable \\spad{v} of \\spad{ts} the polynomial \\spad{select(ts,{}v)} is normalized \\spad{w}.\\spad{r}.\\spad{t}. every polynomial in \\spad{collectUnder(ts,{}v)}. A polynomial \\spad{p} is said normalized \\spad{w}.\\spad{r}.\\spad{t}. a non-constant polynomial \\spad{q} if \\spad{p} is constant or \\spad{degree(p,{}mdeg(q)) = 0} and \\spad{init(p)} is normalized \\spad{w}.\\spad{r}.\\spad{t}. \\spad{q}. One of the important features of normalized triangular sets is that they are regular sets."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-780 S) 
+(-781 S) 
 ((|constructor| (NIL "Numeric provides real and complex numerical evaluation functions for various symbolic types.")) (|numericIfCan| (((|Union| (|Float|) "failed") (|Expression| |#1|) (|PositiveInteger|)) "\\spad{numericIfCan(x,{} n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Expression| |#1|)) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{numericIfCan(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{numericIfCan(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Polynomial| |#1|)) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.")) (|complexNumericIfCan| (((|Union| (|Complex| (|Float|)) "failed") (|Expression| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| (|Complex| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| |#1|) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| |#1|)) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| (|Complex| |#1|))) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| (|Complex| |#1|)))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| |#1|)) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| (|Complex| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not constant.")) (|complexNumeric| (((|Complex| (|Float|)) (|Expression| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Expression| (|Complex| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Expression| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Expression| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| (|Complex| |#1|))) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| (|Complex| |#1|)))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x}") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Polynomial| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Polynomial| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Polynomial| (|Complex| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Complex| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Complex| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) |#1| (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) |#1|) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.")) (|numeric| (((|Float|) (|Expression| |#1|) (|PositiveInteger|)) "\\spad{numeric(x,{} n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Expression| |#1|)) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{numeric(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Fraction| (|Polynomial| |#1|))) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{numeric(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Polynomial| |#1|)) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) |#1| (|PositiveInteger|)) "\\spad{numeric(x,{} n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) |#1|) "\\spad{numeric(x)} returns a real approximation of \\spad{x}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-558))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-842)))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (QUOTE (-172)))) 
-(-781) 
+((|HasCategory| |#1| (QUOTE (-559))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (QUOTE (-1048))) (|HasCategory| |#1| (QUOTE (-173)))) 
+(-782) 
 ((|constructor| (NIL "NumberFormats provides function to format and read arabic and roman numbers,{} to convert numbers to strings and to read floating-point numbers.")) (|ScanFloatIgnoreSpacesIfCan| (((|Union| (|Float|) "failed") (|String|)) "\\spad{ScanFloatIgnoreSpacesIfCan(s)} tries to form a floating point number from the string \\spad{s} ignoring any spaces.")) (|ScanFloatIgnoreSpaces| (((|Float|) (|String|)) "\\spad{ScanFloatIgnoreSpaces(s)} forms a floating point number from the string \\spad{s} ignoring any spaces. Error is generated if the string is not recognised as a floating point number.")) (|ScanRoman| (((|PositiveInteger|) (|String|)) "\\spad{ScanRoman(s)} forms an integer from a Roman numeral string \\spad{s}.")) (|FormatRoman| (((|String|) (|PositiveInteger|)) "\\spad{FormatRoman(n)} forms a Roman numeral string from an integer \\spad{n}.")) (|ScanArabic| (((|PositiveInteger|) (|String|)) "\\spad{ScanArabic(s)} forms an integer from an Arabic numeral string \\spad{s}.")) (|FormatArabic| (((|String|) (|PositiveInteger|)) "\\spad{FormatArabic(n)} forms an Arabic numeral string from an integer \\spad{n}."))) 
 NIL 
 NIL 
-(-782) 
+(-783) 
 ((|constructor| (NIL "\\axiomType{NumericalIntegrationCategory} is the \\axiom{category} for describing the set of Numerical Integration \\axiom{domains} with \\axiomFun{measure} and \\axiomFun{numericalIntegration}.")) (|numericalIntegration| (((|Result|) (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) (|Result|)) "\\spad{numericalIntegration(args,{}hints)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.") (((|Result|) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) (|Result|)) "\\spad{numericalIntegration(args,{}hints)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)) (|:| |extra| (|Result|))) (|RoutinesTable|) (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|List| (|Segment| (|OrderedCompletion| (|DoubleFloat|))))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far.") (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|)) (|:| |extra| (|Result|))) (|RoutinesTable|) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
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 ((|constructor| (NIL "This package is a suite of functions for the numerical integration of an ordinary differential equation of \\spad{n} variables:\\spad{\\br} \\tab{5}dy/dx = \\spad{f}(\\spad{y},{}\\spad{x})\\tab{5}\\spad{y} is an \\spad{n}-vector\\spad{\\br} All the routines are based on a 4-th order Runge-Kutta kernel. These routines generally have as arguments:\\spad{\\br} \\spad{n},{} the number of dependent variables;\\spad{\\br} \\spad{x1},{} the initial point;\\spad{\\br} \\spad{h},{} the step size;\\spad{\\br} \\spad{y},{} a vector of initial conditions of length \\spad{n}\\spad{\\br} which upon exit contains the solution at \\spad{x1 + h};\\spad{\\br} \\blankline \\spad{derivs},{} a function which computes the right hand side of the ordinary differential equation: \\spad{derivs(dydx,{}y,{}x)} computes \\spad{dydx},{} a vector which contains the derivative information. \\blankline In order of increasing complexity:\\spad{\\br} \\tab{5}\\spad{rk4(y,{}n,{}x1,{}h,{}derivs)} advances the solution vector to\\spad{\\br} \\tab{5}\\spad{x1 + h} and return the values in \\spad{y}.\\spad{\\br} \\blankline \\tab{5}\\spad{rk4(y,{}n,{}x1,{}h,{}derivs,{}t1,{}t2,{}t3,{}t4)} is the same as\\spad{\\br} \\tab{5}\\spad{rk4(y,{}n,{}x1,{}h,{}derivs)} except that you must provide 4 scratch\\spad{\\br} \\tab{5}arrays \\spad{t1}-\\spad{t4} of size \\spad{n}.\\spad{\\br} \\blankline \\tab{5}Starting with \\spad{y} at \\spad{x1},{} \\spad{rk4f(y,{}n,{}x1,{}x2,{}ns,{}derivs)}\\spad{\\br} \\tab{5}uses \\spad{ns} fixed steps of a 4-th order Runge-Kutta\\spad{\\br} \\tab{5}integrator to advance the solution vector to \\spad{x2} and return\\spad{\\br} \\tab{5}the values in \\spad{y}. Argument \\spad{x2},{} is the final point,{} and\\spad{\\br} \\tab{5}\\spad{ns},{} the number of steps to take. \\blankline \\spad{rk4qc(y,{}n,{}x1,{}step,{}eps,{}yscal,{}derivs)} takes a 5-th order Runge-Kutta step with monitoring of local truncation to ensure accuracy and adjust stepsize. The function takes two half steps and one full step and scales the difference in solutions at the final point. If the error is within \\spad{eps},{} the step is taken and the result is returned. If the error is not within \\spad{eps},{} the stepsize if decreased and the procedure is tried again until the desired accuracy is reached. Upon input,{} an trial step size must be given and upon return,{} an estimate of the next step size to use is returned as well as the step size which produced the desired accuracy. The scaled error is computed as\\spad{\\br} \\tab{5}\\spad{error = MAX(ABS((y2steps(i) - y1step(i))/yscal(i)))}\\spad{\\br} and this is compared against \\spad{eps}. If this is greater than \\spad{eps},{} the step size is reduced accordingly to\\spad{\\br} \\tab{5}\\spad{hnew = 0.9 * hdid * (error/eps)**(-1/4)}\\spad{\\br} If the error criterion is satisfied,{} then we check if the step size was too fine and return a more efficient one. If \\spad{error > \\spad{eps} * (6.0E-04)} then the next step size should be\\spad{\\br} \\tab{5}\\spad{hnext = 0.9 * hdid * (error/\\spad{eps})\\spad{**}(\\spad{-1/5})}\\spad{\\br} Otherwise \\spad{hnext = 4.0 * hdid} is returned. A more detailed discussion of this and related topics can be found in the book \"Numerical Recipies\" by \\spad{W}.Press,{} \\spad{B}.\\spad{P}. Flannery,{} \\spad{S}.A. Teukolsky,{} \\spad{W}.\\spad{T}. Vetterling published by Cambridge University Press. \\blankline Argument \\spad{step} is a record of 3 floating point numbers \\spad{(try ,{} did ,{} next)},{} \\spad{eps} is the required accuracy,{} \\spad{yscal} is the scaling vector for the difference in solutions. On input,{} \\spad{step.try} should be the guess at a step size to achieve the accuracy. On output,{} \\spad{step.did} contains the step size which achieved the accuracy and \\spad{step.next} is the next step size to use. \\blankline \\spad{rk4qc(y,{}n,{}x1,{}step,{}eps,{}yscal,{}derivs,{}t1,{}t2,{}t3,{}t4,{}t5,{}t6,{}t7)} is the same as \\spad{rk4qc(y,{}n,{}x1,{}step,{}eps,{}yscal,{}derivs)} except that the user must provide the 7 scratch arrays \\spad{t1-t7} of size \\spad{n}. \\blankline \\spad{rk4a(y,{}n,{}x1,{}x2,{}eps,{}h,{}ns,{}derivs)} is a driver program which uses \\spad{rk4qc} to integrate \\spad{n} ordinary differential equations starting at \\spad{x1} to \\spad{x2},{} keeping the local truncation error to within \\spad{eps} by changing the local step size. The scaling vector is defined as\\spad{\\br} \\tab{5}\\spad{yscal(i) = abs(y(i)) + abs(h*dydx(i)) + tiny}\\spad{\\br} where \\spad{y(i)} is the solution at location \\spad{x},{} \\spad{dydx} is the ordinary differential equation\\spad{'s} right hand side,{} \\spad{h} is the current step size and \\spad{tiny} is 10 times the smallest positive number representable. \\blankline The user must supply an estimate for a trial step size and the maximum number of calls to \\spad{rk4qc} to use. Argument \\spad{x2} is the final point,{} \\spad{eps} is local truncation,{} \\spad{ns} is the maximum number of call to \\spad{rk4qc} to use.")) (|rk4f| (((|Void|) (|Vector| (|Float|)) (|Integer|) (|Float|) (|Float|) (|Integer|) (|Mapping| (|Void|) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Float|))) "\\spad{rk4f(y,{}n,{}x1,{}x2,{}ns,{}derivs)} uses a 4-th order Runge-Kutta method to numerically integrate the ordinary differential equation dy/dx = \\spad{f}(\\spad{y},{}\\spad{x}) of \\spad{n} variables,{} where \\spad{y} is an \\spad{n}-vector. Starting with \\spad{y} at \\spad{x1},{} this function uses \\spad{ns} fixed steps of a 4-th order Runge-Kutta integrator to advance the solution vector to \\spad{x2} and return the values in \\spad{y}. For details,{} see \\con{NumericalOrdinaryDifferentialEquations}.")) (|rk4qc| (((|Void|) (|Vector| (|Float|)) (|Integer|) (|Float|) (|Record| (|:| |try| (|Float|)) (|:| |did| (|Float|)) (|:| |next| (|Float|))) (|Float|) (|Vector| (|Float|)) (|Mapping| (|Void|) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|))) "\\spad{rk4qc(y,{}n,{}x1,{}step,{}eps,{}yscal,{}derivs,{}t1,{}t2,{}t3,{}t4,{}t5,{}t6,{}t7)} is a subfunction for the numerical integration of an ordinary differential equation dy/dx = \\spad{f}(\\spad{y},{}\\spad{x}) of \\spad{n} variables,{} where \\spad{y} is an \\spad{n}-vector using a 4-th order Runge-Kutta method. This function takes a 5-th order Runge-Kutta \\spad{step} with monitoring of local truncation to ensure accuracy and adjust stepsize. For details,{} see \\con{NumericalOrdinaryDifferentialEquations}.") (((|Void|) (|Vector| (|Float|)) (|Integer|) (|Float|) (|Record| (|:| |try| (|Float|)) (|:| |did| (|Float|)) (|:| |next| (|Float|))) (|Float|) (|Vector| (|Float|)) (|Mapping| (|Void|) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Float|))) "\\spad{rk4qc(y,{}n,{}x1,{}step,{}eps,{}yscal,{}derivs)} is a subfunction for the numerical integration of an ordinary differential equation dy/dx = \\spad{f}(\\spad{y},{}\\spad{x}) of \\spad{n} variables,{} where \\spad{y} is an \\spad{n}-vector using a 4-th order Runge-Kutta method. This function takes a 5-th order Runge-Kutta \\spad{step} with monitoring of local truncation to ensure accuracy and adjust stepsize. For details,{} see \\con{NumericalOrdinaryDifferentialEquations}.")) (|rk4a| (((|Void|) (|Vector| (|Float|)) (|Integer|) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Mapping| (|Void|) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Float|))) "\\spad{rk4a(y,{}n,{}x1,{}x2,{}eps,{}h,{}ns,{}derivs)} is a driver function for the numerical integration of an ordinary differential equation dy/dx = \\spad{f}(\\spad{y},{}\\spad{x}) of \\spad{n} variables,{} where \\spad{y} is an \\spad{n}-vector using a 4-th order Runge-Kutta method. For details,{} see \\con{NumericalOrdinaryDifferentialEquations}.")) (|rk4| (((|Void|) (|Vector| (|Float|)) (|Integer|) (|Float|) (|Float|) (|Mapping| (|Void|) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Vector| (|Float|))) "\\spad{rk4(y,{}n,{}x1,{}h,{}derivs,{}t1,{}t2,{}t3,{}t4)} is the same as \\spad{rk4(y,{}n,{}x1,{}h,{}derivs)} except that you must provide 4 scratch arrays \\spad{t1}-\\spad{t4} of size \\spad{n}. For details,{} see \\con{NumericalOrdinaryDifferentialEquations}.") (((|Void|) (|Vector| (|Float|)) (|Integer|) (|Float|) (|Float|) (|Mapping| (|Void|) (|Vector| (|Float|)) (|Vector| (|Float|)) (|Float|))) "\\spad{rk4(y,{}n,{}x1,{}h,{}derivs)} uses a 4-th order Runge-Kutta method to numerically integrate the ordinary differential equation dy/dx = \\spad{f}(\\spad{y},{}\\spad{x}) of \\spad{n} variables,{} where \\spad{y} is an \\spad{n}-vector. Argument \\spad{y} is a vector of initial conditions of length \\spad{n} which upon exit contains the solution at \\spad{x1 + h},{} \\spad{n} is the number of dependent variables,{} \\spad{x1} is the initial point,{} \\spad{h} is the step size,{} and \\spad{derivs} is a function which computes the right hand side of the ordinary differential equation. For details,{} see \\spadtype{NumericalOrdinaryDifferentialEquations}."))) 
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 ((|constructor| (NIL "This suite of routines performs numerical quadrature using algorithms derived from the basic trapezoidal rule. Because the error term of this rule contains only even powers of the step size (for open and closed versions),{} fast convergence can be obtained if the integrand is sufficiently smooth. \\blankline Each routine returns a Record of type TrapAns,{} which contains value Float: estimate of the integral error Float: estimate of the error in the computation totalpts Integer: total number of function evaluations success Boolean: if the integral was computed within the user specified error criterion To produce this estimate,{} each routine generates an internal sequence of sub-estimates,{} denoted by \\spad{S}(\\spad{i}),{} depending on the routine,{} to which the various convergence criteria are applied. The user must supply a relative accuracy,{} \\spad{eps_r},{} and an absolute accuracy,{} \\spad{eps_a}. Convergence is obtained when either\\spad{\\br} \\tab{5}\\spad{ABS(S(i) - S(i-1)) < eps_r * ABS(S(i-1))}\\spad{\\br} \\tab{5}or \\spad{ABS(S(i) - S(i-1)) < eps_a} are \\spad{true} statements. \\blankline The routines come in three families and three flavors: closed: romberg,{} simpson,{} trapezoidal open: rombergo,{} simpsono,{} trapezoidalo adaptive closed: aromberg,{} asimpson,{} atrapezoidal \\blankline The \\spad{S}(\\spad{i}) for the trapezoidal family is the value of the integral using an equally spaced absicca trapezoidal rule for that level of refinement. \\blankline The \\spad{S}(\\spad{i}) for the simpson family is the value of the integral using an equally spaced absicca simpson rule for that level of refinement. \\blankline The \\spad{S}(\\spad{i}) for the romberg family is the estimate of the integral using an equally spaced absicca romberg method. For the \\spad{i}-th level,{} this is an appropriate combination of all the previous trapezodial estimates so that the error term starts with the 2*(\\spad{i+1}) power only. \\blankline The three families come in a closed version,{} where the formulas include the endpoints,{} an open version where the formulas do not include the endpoints and an adaptive version,{} where the user is required to input the number of subintervals over which the appropriate closed family integrator will apply with the usual convergence parmeters for each subinterval. This is useful where a large number of points are needed only in a small fraction of the entire domain. \\blankline Each routine takes as arguments:\\spad{\\br} \\spad{f} integrand\\spad{\\br} a starting point\\spad{\\br} \\spad{b} ending point\\spad{\\br} eps_r relative error\\spad{\\br} eps_a absolute error\\spad{\\br} nmin refinement level when to start checking for convergence (> 1)\\spad{\\br} nmax maximum level of refinement\\spad{\\br} \\blankline The adaptive routines take as an additional parameter,{} nint,{} the number of independent intervals to apply a closed family integrator of the same name. \\blankline")) (|trapezoidalo| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|)) "\\spad{trapezoidalo(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax)} uses the trapezoidal method to numerically integrate function \\spad{fn} over the open interval from \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax}. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|simpsono| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|)) "\\spad{simpsono(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax)} uses the simpson method to numerically integrate function \\spad{fn} over the open interval from \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax}. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|rombergo| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|)) "\\spad{rombergo(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax)} uses the romberg method to numerically integrate function \\spad{fn} over the open interval from \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax}. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|trapezoidal| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|)) "\\spad{trapezoidal(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax)} uses the trapezoidal method to numerically integrate function \\spadvar{\\spad{fn}} over the closed interval \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax}. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|simpson| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|)) "\\spad{simpson(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax)} uses the simpson method to numerically integrate function \\spad{fn} over the closed interval \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax}. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|romberg| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|)) "\\spad{romberg(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax)} uses the romberg method to numerically integrate function \\spadvar{\\spad{fn}} over the closed interval \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax}. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|atrapezoidal| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{atrapezoidal(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax,{}nint)} uses the adaptive trapezoidal method to numerically integrate function \\spad{fn} over the closed interval from \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax},{} and where \\spad{nint} is the number of independent intervals to apply the integrator. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|asimpson| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{asimpson(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax,{}nint)} uses the adaptive simpson method to numerically integrate function \\spad{fn} over the closed interval from \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax},{} and where \\spad{nint} is the number of independent intervals to apply the integrator. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details.")) (|aromberg| (((|Record| (|:| |value| (|Float|)) (|:| |error| (|Float|)) (|:| |totalpts| (|Integer|)) (|:| |success| (|Boolean|))) (|Mapping| (|Float|) (|Float|)) (|Float|) (|Float|) (|Float|) (|Float|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{aromberg(fn,{}a,{}b,{}epsrel,{}epsabs,{}nmin,{}nmax,{}nint)} uses the adaptive romberg method to numerically integrate function \\spad{fn} over the closed interval from \\spad{a} to \\spad{b},{} with relative accuracy \\spad{epsrel} and absolute accuracy \\spad{epsabs},{} with the refinement levels for convergence checking vary from \\spad{nmin} to \\spad{nmax},{} and where \\spad{nint} is the number of independent intervals to apply the integrator. The value returned is a record containing the value of the integral,{} the estimate of the error in the computation,{} the total number of function evaluations,{} and either a boolean value which is \\spad{true} if the integral was computed within the user specified error criterion. See \\spadtype{NumericalQuadrature} for details."))) 
 NIL 
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-(-785 |Curve|) 
+(-786 |Curve|) 
 ((|constructor| (NIL "Package for constructing tubes around 3-dimensional parametric curves.")) (|tube| (((|TubePlot| |#1|) |#1| (|DoubleFloat|) (|Integer|)) "\\spad{tube(c,{}r,{}n)} creates a tube of radius \\spad{r} around the curve \\spad{c}."))) 
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-(-786) 
+(-787) 
 ((|constructor| (NIL "Ordered sets which are also abelian groups,{} such that the addition preserves the ordering."))) 
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-(-787) 
+(-788) 
 ((|constructor| (NIL "Ordered sets which are also abelian monoids,{} such that the addition preserves the ordering."))) 
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-(-788) 
+(-789) 
 ((|constructor| (NIL "This domain is an OrderedAbelianMonoid with a \\spadfun{sup} operation added. The purpose of the \\spadfun{sup} operator in this domain is to act as a supremum with respect to the partial order imposed by \\spadop{-},{} rather than with respect to the total \\spad{>} order (since that is \"max\"). \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{sup(a,{}b)-a \\~~= \"failed\"}\\spad{\\br} \\tab{5}\\spad{sup(a,{}b)-b \\~~= \"failed\"}\\spad{\\br} \\tab{5}\\spad{x-a \\~~= \"failed\" and x-b \\~~= \"failed\" => x >= sup(a,{}b)}\\spad{\\br}")) (|sup| (($ $ $) "\\spad{sup(x,{}y)} returns the least element from which both \\spad{x} and \\spad{y} can be subtracted."))) 
 NIL 
 NIL 
-(-789) 
+(-790) 
 ((|constructor| (NIL "Ordered sets which are also abelian semigroups,{} such that the addition preserves the ordering.\\spad{\\br} \\blankline Axiom\\spad{\\br} \\tab{5} \\spad{x} < \\spad{y} \\spad{=>} \\spad{x+z} < \\spad{y+z}"))) 
 NIL 
 NIL 
-(-790) 
+(-791) 
 ((|constructor| (NIL "Ordered sets which are also abelian cancellation monoids,{} such that the addition preserves the ordering."))) 
 NIL 
 NIL 
-(-791 S R) 
+(-792 S R) 
 ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#2| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#2| |#2| |#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{octon(re,{}\\spad{ri},{}rj,{}rk,{}rE,{}rI,{}rJ,{}rK)} constructs an octonion from scalars.")) (|norm| ((|#2| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#2| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#2| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#2| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#2| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#2| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#2| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#2| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#2| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-550))) (|HasCategory| |#2| (QUOTE (-1056))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-370)))) 
-(-792 R) 
+((|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-1057))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-371)))) 
+(-793 R) 
 ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,{}\\spad{ri},{}rj,{}rk,{}rE,{}rI,{}rJ,{}rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-793 -2199 R OS S) 
+(-794 -2232 R OS S) 
 ((|constructor| (NIL "\\spad{OctonionCategoryFunctions2} implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,{}u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) 
 NIL 
 NIL 
-(-794 R) 
+(-795 R) 
 ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is octon which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,{}qE)} constructs an octonion from two quaternions using the relation \\spad{O} = \\spad{Q} + QE."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -281) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1056))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| (-999 |#1|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-999 |#1|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (-2199 (|HasCategory| (-999 |#1|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (-2199 (|HasCategory| (-999 |#1|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))))) 
-(-795) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -282) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1057))) (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| (-1000 |#1|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-1000 |#1|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (-2232 (|HasCategory| (-1000 |#1|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (-2232 (|HasCategory| (-1000 |#1|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))))) 
+(-796) 
 ((|constructor| (NIL "\\axiomType{OrdinaryDifferentialEquationsSolverCategory} is the \\axiom{category} for describing the set of ODE solver \\axiom{domains} with \\axiomFun{measure} and \\axiomFun{ODEsolve}.")) (|ODESolve| (((|Result|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{ODESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-796 R -1478 L) 
+(-797 R -1564 L) 
 ((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op,{} g,{} x)} returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{\\spad{yi}}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) 
 NIL 
 NIL 
-(-797 R -1478) 
+(-798 R -1564) 
 ((|constructor| (NIL "\\spad{ElementaryFunctionODESolver} provides the top-level functions for finding closed form solutions of ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq,{} y,{} x = a,{} [y0,{}...,{}ym])} returns either the solution of the initial value problem \\spad{eq,{} y(a) = y0,{} y'(a) = y1,{}...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,{}y)}.") (((|Union| |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq,{} y,{} x = a,{} [y0,{}...,{}ym])} returns either the solution of the initial value problem \\spad{eq,{} y(a) = y0,{} y'(a) = y1,{}...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,{}y)}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq,{} y,{} x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h,{} [b1,{}...,{}bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,{}...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,{}y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,{}y)} where \\spad{h(x,{}y) = c} is a first integral of the equation for any constant \\spad{c}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq,{} y,{} x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h,{} [b1,{}...,{}bm]]} where \\spad{h} is a particular solution and \\spad{[b1,{}...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,{}y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,{}y)} where \\spad{h(x,{}y) = c} is a first integral of the equation for any constant \\spad{c}; error if the equation is not one of those 2 forms.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| |#2|) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,{}...,{}eq_n],{} [y_1,{}...,{}y_n],{} x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p,{} [b_1,{}...,{}b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,{}...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,{}...,{}eq_n],{} [y_1,{}...,{}y_n],{} x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p,{} [b_1,{}...,{}b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,{}...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|List| (|Vector| |#2|)) "failed") (|Matrix| |#2|) (|Symbol|)) "\\spad{solve(m,{} x)} returns a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|Matrix| |#2|) (|Vector| |#2|) (|Symbol|)) "\\spad{solve(m,{} v,{} x)} returns \\spad{[v_p,{} [v_1,{}...,{}v_m]]} such that the solutions of the system \\spad{D y = m y + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable."))) 
 NIL 
 NIL 
-(-798) 
+(-799) 
 ((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE\\spad{'s}.")) (|showIntensityFunctions| (((|Union| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))) "failed") (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showIntensityFunctions(k)} returns the entries in the table of intensity functions \\spad{k}.")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|iFTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) "\\spad{iFTable(l)} creates an intensity-functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(tab)} returns the list of keys of \\spad{f}")) (|clearTheIFTable| (((|Void|)) "\\spad{clearTheIFTable()} clears the current table of intensity functions.")) (|showTheIFTable| (($) "\\spad{showTheIFTable()} returns the current table of intensity functions."))) 
 NIL 
 NIL 
-(-799 R -1478) 
+(-800 R -1564) 
 ((|constructor| (NIL "\\spadtype{ODEIntegration} provides an interface to the integrator. This package is intended for use by the differential equations solver but not at top-level.")) (|diff| (((|Mapping| |#2| |#2|) (|Symbol|)) "\\spad{diff(x)} returns the derivation with respect to \\spad{x}.")) (|expint| ((|#2| |#2| (|Symbol|)) "\\spad{expint(f,{} x)} returns e^{the integral of \\spad{f} with respect to \\spad{x}}.")) (|int| ((|#2| |#2| (|Symbol|)) "\\spad{int(f,{} x)} returns the integral of \\spad{f} with respect to \\spad{x}."))) 
 NIL 
 NIL 
-(-800) 
+(-801) 
 ((|constructor| (NIL "\\axiomType{AnnaOrdinaryDifferentialEquationPackage} is a \\axiom{package} of functions for the \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} with \\axiom{measure},{} and \\axiom{solve}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,{}R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}G,{}intVals,{}epsabs,{}epsrel)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{y}[1]..\\spad{y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to an absolute error requirement \\axiom{\\spad{epsabs}} and relative error \\axiom{\\spad{epsrel}}. The values of \\spad{y}[1]..\\spad{y}[\\spad{n}] will be output for the values of \\spad{x} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{x},{}\\spad{y}[1],{}..,{}\\spad{y}[\\spad{n}]) evaluates to zero before \\spad{x} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}G,{}intVals,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{y}[1]..\\spad{y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{y}[1]..\\spad{y}[\\spad{n}] will be output for the values of \\spad{x} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{x},{}\\spad{y}[1],{}..,{}\\spad{y}[\\spad{n}]) evaluates to zero before \\spad{x} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}intVals,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{y}[1]..\\spad{y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{y}[1]..\\spad{y}[\\spad{n}] will be output for the values of \\spad{x} in \\axiom{\\spad{intVals}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}G,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{y}[1]..\\spad{y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The calculation will stop if the function \\spad{G}(\\spad{x},{}\\spad{y}[1],{}..,{}\\spad{y}[\\spad{n}]) evaluates to zero before \\spad{x} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{y}[1]..\\spad{y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|))) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}],{} together with a starting value for \\spad{x} and \\spad{y}[1]..\\spad{y}[\\spad{n}] (called the initial conditions) and a final value of \\spad{x}. A default value is used for the accuracy requirement. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{solve(odeProblem,{}R)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}],{} together with starting values for \\spad{x} and \\spad{y}[1]..\\spad{y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{x},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|)) "\\spad{solve(odeProblem)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{y}[1]'..\\spad{y}[\\spad{n}]' defined in terms of \\spad{x},{}\\spad{y}[1]..\\spad{y}[\\spad{n}],{} together with starting values for \\spad{x} and \\spad{y}[1]..\\spad{y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{x},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine."))) 
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-(-801 -1478 UP UPUP R) 
+(-802 -1564 UP UPUP R) 
 ((|constructor| (NIL "In-field solution of an linear ordinary differential equation,{} pure algebraic case.")) (|algDsolve| (((|Record| (|:| |particular| (|Union| |#4| "failed")) (|:| |basis| (|List| |#4|))) (|LinearOrdinaryDifferentialOperator1| |#4|) |#4|) "\\spad{algDsolve(op,{} g)} returns \\spad{[\"failed\",{} []]} if the equation \\spad{op y = g} has no solution in \\spad{R}. Otherwise,{} it returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular rational solution and the \\spad{y_i's} form a basis for the solutions in \\spad{R} of the homogeneous equation."))) 
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-(-802 -1478 UP L LQ) 
+(-803 -1564 UP L LQ) 
 ((|constructor| (NIL "\\spad{PrimitiveRatDE} provides functions for in-field solutions of linear ordinary differential equations,{} in the transcendental case. The derivation to use is given by the parameter \\spad{L}.")) (|splitDenominator| (((|Record| (|:| |eq| |#3|) (|:| |rh| (|List| (|Fraction| |#2|)))) |#4| (|List| (|Fraction| |#2|))) "\\spad{splitDenominator(op,{} [g1,{}...,{}gm])} returns \\spad{op0,{} [h1,{}...,{}hm]} such that the equations \\spad{op y = c1 g1 + ... + cm gm} and \\spad{op0 y = c1 h1 + ... + cm hm} have the same solutions.")) (|indicialEquation| ((|#2| |#4| |#1|) "\\spad{indicialEquation(op,{} a)} returns the indicial equation of \\spad{op} at \\spad{a}.") ((|#2| |#3| |#1|) "\\spad{indicialEquation(op,{} a)} returns the indicial equation of \\spad{op} at \\spad{a}.")) (|indicialEquations| (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4| |#2|) "\\spad{indicialEquations(op,{} p)} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4|) "\\spad{indicialEquations op} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3| |#2|) "\\spad{indicialEquations(op,{} p)} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3|) "\\spad{indicialEquations op} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.")) (|denomLODE| ((|#2| |#3| (|List| (|Fraction| |#2|))) "\\spad{denomLODE(op,{} [g1,{}...,{}gm])} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{p/d} for some polynomial \\spad{p}.") (((|Union| |#2| "failed") |#3| (|Fraction| |#2|)) "\\spad{denomLODE(op,{} g)} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = g} is of the form \\spad{p/d} for some polynomial \\spad{p},{} and \"failed\",{} if the equation has no rational solution."))) 
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-(-803) 
+(-804) 
 ((|constructor| (NIL "\\axiomType{NumericalODEProblem} is a \\axiom{domain} for the representation of Numerical ODE problems for use by ANNA. \\blankline The representation is of type: \\blankline \\axiomType{Record}(xinit:\\axiomType{DoubleFloat},{}\\spad{\\br} xend:\\axiomType{DoubleFloat},{}\\spad{\\br} \\spad{fn:}\\axiomType{Vector Expression DoubleFloat},{}\\spad{\\br} yinit:\\axiomType{List DoubleFloat},{}intvals:\\axiomType{List DoubleFloat},{}\\spad{\\br} \\spad{g:}\\axiomType{Expression DoubleFloat},{}abserr:\\axiomType{DoubleFloat},{}\\spad{\\br} relerr:\\axiomType{DoubleFloat}) \\blankline")) (|retract| (((|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) $) "\\spad{retract(x)} is not documented")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} is not documented"))) 
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-(-804 -1478 UP L LQ) 
+(-805 -1564 UP L LQ) 
 ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[\\spad{ai} D^i],{} a)} returns the operator \\spad{+/[\\spad{ai} (D+a)\\spad{^i}]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[\\spad{ai} D^i],{} a)} returns the operator \\spad{+/[\\spad{ai} (D+a)\\spad{^i}]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op,{} zeros,{} ezfactor)} returns \\spad{[[f1,{} L1],{} [f2,{} L2],{} ... ,{} [fk,{} Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{\\spad{Li} z=0}. \\spad{zeros(C(x),{}H(x,{}y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,{}P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op,{} zeros)} returns \\spad{[[p1,{} L1],{} [p2,{} L2],{} ... ,{} [pk,{} Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{\\spad{Li} z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op,{} ric)} returns \\spad{[[a1,{} L1],{} [a2,{} L2],{} ... ,{} [ak,{} Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int \\spad{ai}}} is \\spad{\\spad{Li} z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1,{} p1],{} [m2,{} p2],{} ... ,{} [mk,{} pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}."))) 
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-(-805 -1478 UP) 
+(-806 -1564 UP) 
 ((|constructor| (NIL "\\spad{RationalLODE} provides functions for in-field solutions of linear ordinary differential equations,{} in the rational case.")) (|indicialEquationAtInfinity| ((|#2| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.") ((|#2| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.")) (|ratDsolve| (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op,{} [g1,{}...,{}gm])} returns \\spad{[[h1,{}...,{}hq],{} M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,{}...,{}dq,{}c1,{}...,{}cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op,{} g)} returns \\spad{[\"failed\",{} []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.") (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op,{} [g1,{}...,{}gm])} returns \\spad{[[h1,{}...,{}hq],{} M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,{}...,{}dq,{}c1,{}...,{}cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op,{} g)} returns \\spad{[\"failed\",{} []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation."))) 
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-(-806 -1478 L UP A LO) 
+(-807 -1564 L UP A LO) 
 ((|constructor| (NIL "Elimination of an algebraic from the coefficentss of a linear ordinary differential equation.")) (|reduceLODE| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) |#5| |#4|) "\\spad{reduceLODE(op,{} g)} returns \\spad{[m,{} v]} such that any solution in \\spad{A} of \\spad{op z = g} is of the form \\spad{z = (z_1,{}...,{}z_m) . (b_1,{}...,{}b_m)} where the \\spad{b_i's} are the basis of \\spad{A} over \\spad{F} returned by \\spadfun{basis}() from \\spad{A},{} and the \\spad{z_i's} satisfy the differential system \\spad{M.z = v}."))) 
 NIL 
 NIL 
-(-807 -1478 UP) 
+(-808 -1564 UP) 
 ((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op,{} zeros)} returns \\spad{[[p1,{}L1],{} [p2,{}L2],{} ... ,{} [pk,{}Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{\\spad{Li} z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op,{} ezfactor)} returns \\spad{[[f1,{}L1],{} [f2,{}L2],{}...,{} [fk,{}Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int \\spad{ai}}} is \\spad{\\spad{Li} z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} zeros,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op,{} zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} zeros,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op,{} zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
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 ((|constructor| (NIL "SystemODESolver provides tools for triangulating and solving some systems of linear ordinary differential equations.")) (|solveInField| (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#2|) (|Vector| |#1|) (|Mapping| (|Record| (|:| |particular| (|Union| |#1| "failed")) (|:| |basis| (|List| |#1|))) |#2| |#1|)) "\\spad{solveInField(m,{} v,{} solve)} returns \\spad{[[v_1,{}...,{}v_m],{} v_p]} such that the solutions in \\spad{F} of the system \\spad{m x = v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{m x = 0}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|solve| (((|Union| (|Record| (|:| |particular| (|Vector| |#1|)) (|:| |basis| (|Matrix| |#1|))) "failed") (|Matrix| |#1|) (|Vector| |#1|) (|Mapping| (|Union| (|Record| (|:| |particular| |#1|) (|:| |basis| (|List| |#1|))) "failed") |#2| |#1|)) "\\spad{solve(m,{} v,{} solve)} returns \\spad{[[v_1,{}...,{}v_m],{} v_p]} such that the solutions in \\spad{F} of the system \\spad{D x = m x + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D x = m x}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|triangulate| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| |#2|) (|Vector| |#1|)) "\\spad{triangulate(m,{} v)} returns \\spad{[m_0,{} v_0]} such that \\spad{m_0} is upper triangular and the system \\spad{m_0 x = v_0} is equivalent to \\spad{m x = v}.") (((|Record| (|:| A (|Matrix| |#1|)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)) (|:| |eq| |#2|) (|:| |rh| |#1|))))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{triangulate(M,{}v)} returns \\spad{A,{}[[C_1,{}g_1,{}L_1,{}h_1],{}...,{}[C_k,{}g_k,{}L_k,{}h_k]]} such that under the change of variable \\spad{y = A z},{} the first order linear system \\spad{D y = M y + v} is uncoupled as \\spad{D z_i = C_i z_i + g_i} and each \\spad{C_i} is a companion matrix corresponding to the scalar equation \\spad{L_i z_j = h_i}."))) 
 NIL 
 NIL 
-(-809 -1478 LODO) 
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 ((|constructor| (NIL "\\spad{ODETools} provides tools for the linear ODE solver.")) (|particularSolution| (((|Union| |#1| "failed") |#2| |#1| (|List| |#1|) (|Mapping| |#1| |#1|)) "\\spad{particularSolution(op,{} g,{} [f1,{}...,{}fm],{} I)} returns a particular solution \\spad{h} of the equation \\spad{op y = g} where \\spad{[f1,{}...,{}fm]} are linearly independent and \\spad{op(\\spad{fi})=0}. The value \"failed\" is returned if no particular solution is found. Note that the method of variations of parameters is used.")) (|variationOfParameters| (((|Union| (|Vector| |#1|) "failed") |#2| |#1| (|List| |#1|)) "\\spad{variationOfParameters(op,{} g,{} [f1,{}...,{}fm])} returns \\spad{[u1,{}...,{}um]} such that a particular solution of the equation \\spad{op y = g} is \\spad{f1 int(u1) + ... + fm int(um)} where \\spad{[f1,{}...,{}fm]} are linearly independent and \\spad{op(\\spad{fi})=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,{}...,{}fn],{} q,{} D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),{}...,{}fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,{}...,{}fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),{}...,{}fn^(i-1)]}."))) 
 NIL 
 NIL 
-(-810 -1965 S |f|) 
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 ((|constructor| (NIL "This type represents the finite direct or cartesian product of an underlying ordered component type. The ordering on the type is determined by its third argument which represents the less than function on vectors. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
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(LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-25)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-138)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-173)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-366)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-371)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-717)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-789)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-841)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1048)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1091))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-25)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-138)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-173)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-366)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-371)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-717)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-789)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-841)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1048)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))))) 
+(-812 R) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-904))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (-12 (|HasCategory| (-813 (-1161)) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-813 (-1161)) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-813 (-1161)) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-813 (-1161)) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-813 (-1161)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#1| (QUOTE -4519)) (|HasCategory| |#1| (QUOTE (-453))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (|HasCategory| |#1| (QUOTE (-148))))) 
-(-812 |Kernels| R |var|) 
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+(-813 |Kernels| R |var|) 
 ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable.")) (|coerce| ((|#2| $) "\\spad{coerce(p)} views \\spad{p} as a valie in the partial differential ring.") (($ |#2|) "\\spad{coerce(r)} views \\spad{r} as a value in the ordinary differential ring."))) 
-(((-4523 "*") |has| |#2| (-365)) (-4514 |has| |#2| (-365)) (-4519 |has| |#2| (-365)) (-4513 |has| |#2| (-365)) (-4518 . T) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#2| (QUOTE (-365)))) 
-(-813 S) 
+(((-4537 "*") |has| |#2| (-366)) (-4528 |has| |#2| (-366)) (-4533 |has| |#2| (-366)) (-4527 |has| |#2| (-366)) (-4532 . T) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#2| (QUOTE (-366)))) 
+(-814 S) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used orderly ranking to the set of derivatives of an ordered list of differential indeterminates. An orderly ranking is a ranking \\spadfun{<} of the derivatives with the property that for two derivatives \\spad{u} and \\spad{v},{} \\spad{u} \\spadfun{<} \\spad{v} if the \\spadfun{order} of \\spad{u} is less than that of \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines an orderly ranking \\spadfun{<} on derivatives \\spad{u} via the lexicographic order on the pair (\\spadfun{order}(\\spad{u}),{} \\spadfun{variable}(\\spad{u}))."))) 
 NIL 
 NIL 
-(-814 S) 
+(-815 S) 
 ((|constructor| (NIL "The free monoid on a set \\spad{S} is the monoid of finite products of the form \\spad{reduce(*,{}[\\spad{si} ** \\spad{ni}])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are non-negative integers. The multiplication is not commutative. For two elements \\spad{x} and \\spad{y} the relation \\spad{x < y} holds if either \\spad{length(x) < length(y)} holds or if these lengths are equal and if \\spad{x} is smaller than \\spad{y} \\spad{w}.\\spad{r}.\\spad{t}. the lexicographical ordering induced by \\spad{S}. This domain inherits implementation from \\spadtype{FreeMonoid}.")) (|varList| (((|List| |#1|) $) "\\indented{1}{\\spad{varList(x)} returns the list of variables of \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} varList \\spad{m1}")) (|length| (((|NonNegativeInteger|) $) "\\indented{1}{\\spad{length(x)} returns the length of \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} length \\spad{m1}")) (|factors| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| (|NonNegativeInteger|)))) $) "\\indented{1}{\\spad{factors(a1\\^e1,{}...,{}an\\^en)} returns} \\indented{1}{\\spad{[[a1,{} e1],{}...,{}[an,{} en]]}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} factors \\spad{m1}")) (|nthFactor| ((|#1| $ (|Integer|)) "\\indented{1}{\\spad{nthFactor(x,{} n)} returns the factor of the \\spad{n-th}} \\indented{1}{monomial of \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} nthFactor(\\spad{m1},{}2)")) (|nthExpon| (((|NonNegativeInteger|) $ (|Integer|)) "\\indented{1}{\\spad{nthExpon(x,{} n)} returns the exponent of the} \\indented{1}{\\spad{n-th} monomial of \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} nthExpon(\\spad{m1},{}2)")) (|size| (((|NonNegativeInteger|) $) "\\indented{1}{\\spad{size(x)} returns the number of monomials in \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} size(\\spad{m1},{}2)")) (|overlap| (((|Record| (|:| |lm| $) (|:| |mm| $) (|:| |rm| $)) $ $) "\\indented{1}{\\spad{overlap(x,{} y)} returns \\spad{[l,{} m,{} r]} such that} \\indented{1}{\\spad{x = l * m} and \\spad{y = m * r} hold and such that} \\indented{1}{\\spad{l} and \\spad{r} have no overlap,{}} \\indented{1}{that is \\spad{overlap(l,{} r) = [l,{} 1,{} r]}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} m2:=(x*y)\\$OFMONOID(Symbol) \\spad{X} overlap(\\spad{m1},{}\\spad{m2})")) (|divide| (((|Union| (|Record| (|:| |lm| (|Union| $ "failed")) (|:| |rm| (|Union| $ "failed"))) "failed") $ $) "\\indented{1}{\\spad{divide(x,{}y)} returns the left and right exact quotients of} \\indented{1}{\\spad{x} by \\spad{y},{} that is \\spad{[l,{}r]} such that \\spad{x = l*y*r}.} \\indented{1}{\"failed\" is returned iff \\spad{x} is not of the form \\spad{l * y * r}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} m2:=(x*y)\\$OFMONOID(Symbol) \\spad{X} divide(\\spad{m1},{}\\spad{m2})")) (|rquo| (((|Union| $ "failed") $ |#1|) "\\indented{1}{\\spad{rquo(x,{} s)} returns the exact right quotient} \\indented{1}{of \\spad{x} by \\spad{s}.} \\blankline \\spad{X} m1:=(x*y)\\$OFMONOID(Symbol) \\spad{X} div(\\spad{m1},{}\\spad{y})") (((|Union| $ "failed") $ $) "\\indented{1}{\\spad{rquo(x,{} y)} returns the exact right quotient of \\spad{x}} \\indented{1}{by \\spad{y} that is \\spad{q} such that \\spad{x = q * y},{}} \\indented{1}{\"failed\" if \\spad{x} is not of the form \\spad{q * y}.} \\blankline \\spad{X} m1:=(\\spad{q*y^3})\\$OFMONOID(Symbol) \\spad{X} m2:=(\\spad{y^2})\\$OFMONOID(Symbol) \\spad{X} lquo(\\spad{m1},{}\\spad{m2})")) (|lquo| (((|Union| $ "failed") $ |#1|) "\\indented{1}{\\spad{lquo(x,{} s)} returns the exact left quotient of \\spad{x}} \\indented{1}{by \\spad{s}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} lquo(\\spad{m1},{}\\spad{x})") (((|Union| $ "failed") $ $) "\\indented{1}{\\spad{lquo(x,{} y)} returns the exact left quotient of \\spad{x}} \\indented{2}{by \\spad{y} that is \\spad{q} such that \\spad{x = y * q},{}} \\indented{1}{\"failed\" if \\spad{x} is not of the form \\spad{y * q}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} m2:=(x*y)\\$OFMONOID(Symbol) \\spad{X} lquo(\\spad{m1},{}\\spad{m2})")) (|hcrf| (($ $ $) "\\indented{1}{\\spad{hcrf(x,{} y)} returns the highest common right} \\indented{1}{factor of \\spad{x} and \\spad{y},{}} \\indented{1}{that is the largest \\spad{d} such that \\spad{x = a d}} \\indented{1}{and \\spad{y = b d}.} \\blankline \\spad{X} m1:=(x*y*z)\\$OFMONOID(Symbol) \\spad{X} m2:=(\\spad{y*z})\\$OFMONOID(Symbol) \\spad{X} hcrf(\\spad{m1},{}\\spad{m2})")) (|hclf| (($ $ $) "\\indented{1}{\\spad{hclf(x,{} y)} returns the highest common left factor} \\indented{1}{of \\spad{x} and \\spad{y},{}} \\indented{1}{that is the largest \\spad{d} such that \\spad{x = d a}} \\indented{1}{and \\spad{y = d b}.} \\blankline \\spad{X} m1:=(x*y*z)\\$OFMONOID(Symbol) \\spad{X} m2:=(x*y)\\$OFMONOID(Symbol) \\spad{X} hclf(\\spad{m1},{}\\spad{m2})")) (|lexico| (((|Boolean|) $ $) "\\indented{1}{\\spad{lexico(x,{}y)} returns \\spad{true}} \\indented{1}{iff \\spad{x} is smaller than \\spad{y}} \\indented{1}{\\spad{w}.\\spad{r}.\\spad{t}. the pure lexicographical ordering induced by \\spad{S}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} m2:=(x*y)\\$OFMONOID(Symbol) \\spad{X} lexico(\\spad{m1},{}\\spad{m2}) \\spad{X} lexico(\\spad{m2},{}\\spad{m1})")) (|mirror| (($ $) "\\indented{1}{\\spad{mirror(x)} returns the reversed word of \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} mirror \\spad{m1}")) (|rest| (($ $) "\\indented{1}{\\spad{rest(x)} returns \\spad{x} except the first letter.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} rest \\spad{m1}")) (|first| ((|#1| $) "\\indented{1}{\\spad{first(x)} returns the first letter of \\spad{x}.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} first \\spad{m1}")) (** (($ |#1| (|NonNegativeInteger|)) "\\indented{1}{\\spad{s**n} returns the product of \\spad{s} by itself \\spad{n} times.} \\blankline \\spad{X} m1:=(\\spad{y**3})\\$OFMONOID(Symbol)")) (* (($ $ |#1|) "\\indented{1}{\\spad{x*s} returns the product of \\spad{x} by \\spad{s} on the right.} \\blankline \\spad{X} m1:=(\\spad{y**3})\\$OFMONOID(Symbol) \\spad{X} m1*x") (($ |#1| $) "\\indented{1}{\\spad{s*x} returns the product of \\spad{x} by \\spad{s} on the left.} \\blankline \\spad{X} m1:=(x*y*y*z)\\$OFMONOID(Symbol) \\spad{X} \\spad{x*m1}"))) 
 NIL 
 NIL 
-(-815) 
+(-816) 
 ((|constructor| (NIL "The category of ordered commutative integral domains,{} where ordering and the arithmetic operations are compatible"))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-816) 
+(-817) 
 ((|constructor| (NIL "\\spadtype{OpenMathConnection} provides low-level functions for handling connections to and from \\spadtype{OpenMathDevice}\\spad{s}.")) (|OMbindTCP| (((|Boolean|) $ (|SingleInteger|)) "\\spad{OMbindTCP}")) (|OMconnectTCP| (((|Boolean|) $ (|String|) (|SingleInteger|)) "\\spad{OMconnectTCP}")) (|OMconnOutDevice| (((|OpenMathDevice|) $) "\\spad{OMconnOutDevice:}")) (|OMconnInDevice| (((|OpenMathDevice|) $) "\\spad{OMconnInDevice:}")) (|OMcloseConn| (((|Void|) $) "\\spad{OMcloseConn}")) (|OMmakeConn| (($ (|SingleInteger|)) "\\spad{OMmakeConn}"))) 
 NIL 
 NIL 
-(-817) 
+(-818) 
 ((|constructor| (NIL "\\spadtype{OpenMathDevice} provides support for reading and writing openMath objects to files,{} strings etc. It also provides access to low-level operations from within the interpreter.")) (|OMgetType| (((|Symbol|) $) "\\spad{OMgetType(dev)} returns the type of the next object on \\axiom{\\spad{dev}}.")) (|OMgetSymbol| (((|Record| (|:| |cd| (|String|)) (|:| |name| (|String|))) $) "\\spad{OMgetSymbol(dev)} reads a symbol from \\axiom{\\spad{dev}}.")) (|OMgetString| (((|String|) $) "\\spad{OMgetString(dev)} reads a string from \\axiom{\\spad{dev}}.")) (|OMgetVariable| (((|Symbol|) $) "\\spad{OMgetVariable(dev)} reads a variable from \\axiom{\\spad{dev}}.")) (|OMgetFloat| (((|DoubleFloat|) $) "\\spad{OMgetFloat(dev)} reads a float from \\axiom{\\spad{dev}}.")) (|OMgetInteger| (((|Integer|) $) "\\spad{OMgetInteger(dev)} reads an integer from \\axiom{\\spad{dev}}.")) (|OMgetEndObject| (((|Void|) $) "\\spad{OMgetEndObject(dev)} reads an end object token from \\axiom{\\spad{dev}}.")) (|OMgetEndError| (((|Void|) $) "\\spad{OMgetEndError(dev)} reads an end error token from \\axiom{\\spad{dev}}.")) (|OMgetEndBVar| (((|Void|) $) "\\spad{OMgetEndBVar(dev)} reads an end bound variable list token from \\axiom{\\spad{dev}}.")) (|OMgetEndBind| (((|Void|) $) "\\spad{OMgetEndBind(dev)} reads an end binder token from \\axiom{\\spad{dev}}.")) (|OMgetEndAttr| (((|Void|) $) "\\spad{OMgetEndAttr(dev)} reads an end attribute token from \\axiom{\\spad{dev}}.")) (|OMgetEndAtp| (((|Void|) $) "\\spad{OMgetEndAtp(dev)} reads an end attribute pair token from \\axiom{\\spad{dev}}.")) (|OMgetEndApp| (((|Void|) $) "\\spad{OMgetEndApp(dev)} reads an end application token from \\axiom{\\spad{dev}}.")) (|OMgetObject| (((|Void|) $) "\\spad{OMgetObject(dev)} reads a begin object token from \\axiom{\\spad{dev}}.")) (|OMgetError| (((|Void|) $) "\\spad{OMgetError(dev)} reads a begin error token from \\axiom{\\spad{dev}}.")) (|OMgetBVar| (((|Void|) $) "\\spad{OMgetBVar(dev)} reads a begin bound variable list token from \\axiom{\\spad{dev}}.")) (|OMgetBind| (((|Void|) $) "\\spad{OMgetBind(dev)} reads a begin binder token from \\axiom{\\spad{dev}}.")) (|OMgetAttr| (((|Void|) $) "\\spad{OMgetAttr(dev)} reads a begin attribute token from \\axiom{\\spad{dev}}.")) (|OMgetAtp| (((|Void|) $) "\\spad{OMgetAtp(dev)} reads a begin attribute pair token from \\axiom{\\spad{dev}}.")) (|OMgetApp| (((|Void|) $) "\\spad{OMgetApp(dev)} reads a begin application token from \\axiom{\\spad{dev}}.")) (|OMputSymbol| (((|Void|) $ (|String|) (|String|)) "\\spad{OMputSymbol(dev,{}cd,{}s)} writes the symbol \\axiom{\\spad{s}} from \\spad{CD} \\axiom{\\spad{cd}} to \\axiom{\\spad{dev}}.")) (|OMputString| (((|Void|) $ (|String|)) "\\spad{OMputString(dev,{}i)} writes the string \\axiom{\\spad{i}} to \\axiom{\\spad{dev}}.")) (|OMputVariable| (((|Void|) $ (|Symbol|)) "\\spad{OMputVariable(dev,{}i)} writes the variable \\axiom{\\spad{i}} to \\axiom{\\spad{dev}}.")) (|OMputFloat| (((|Void|) $ (|DoubleFloat|)) "\\spad{OMputFloat(dev,{}i)} writes the float \\axiom{\\spad{i}} to \\axiom{\\spad{dev}}.")) (|OMputInteger| (((|Void|) $ (|Integer|)) "\\spad{OMputInteger(dev,{}i)} writes the integer \\axiom{\\spad{i}} to \\axiom{\\spad{dev}}.")) (|OMputEndObject| (((|Void|) $) "\\spad{OMputEndObject(dev)} writes an end object token to \\axiom{\\spad{dev}}.")) (|OMputEndError| (((|Void|) $) "\\spad{OMputEndError(dev)} writes an end error token to \\axiom{\\spad{dev}}.")) (|OMputEndBVar| (((|Void|) $) "\\spad{OMputEndBVar(dev)} writes an end bound variable list token to \\axiom{\\spad{dev}}.")) (|OMputEndBind| (((|Void|) $) "\\spad{OMputEndBind(dev)} writes an end binder token to \\axiom{\\spad{dev}}.")) (|OMputEndAttr| (((|Void|) $) "\\spad{OMputEndAttr(dev)} writes an end attribute token to \\axiom{\\spad{dev}}.")) (|OMputEndAtp| (((|Void|) $) "\\spad{OMputEndAtp(dev)} writes an end attribute pair token to \\axiom{\\spad{dev}}.")) (|OMputEndApp| (((|Void|) $) "\\spad{OMputEndApp(dev)} writes an end application token to \\axiom{\\spad{dev}}.")) (|OMputObject| (((|Void|) $) "\\spad{OMputObject(dev)} writes a begin object token to \\axiom{\\spad{dev}}.")) (|OMputError| (((|Void|) $) "\\spad{OMputError(dev)} writes a begin error token to \\axiom{\\spad{dev}}.")) (|OMputBVar| (((|Void|) $) "\\spad{OMputBVar(dev)} writes a begin bound variable list token to \\axiom{\\spad{dev}}.")) (|OMputBind| (((|Void|) $) "\\spad{OMputBind(dev)} writes a begin binder token to \\axiom{\\spad{dev}}.")) (|OMputAttr| (((|Void|) $) "\\spad{OMputAttr(dev)} writes a begin attribute token to \\axiom{\\spad{dev}}.")) (|OMputAtp| (((|Void|) $) "\\spad{OMputAtp(dev)} writes a begin attribute pair token to \\axiom{\\spad{dev}}.")) (|OMputApp| (((|Void|) $) "\\spad{OMputApp(dev)} writes a begin application token to \\axiom{\\spad{dev}}.")) (|OMsetEncoding| (((|Void|) $ (|OpenMathEncoding|)) "\\spad{OMsetEncoding(dev,{}enc)} sets the encoding used for reading or writing OpenMath objects to or from \\axiom{\\spad{dev}} to \\axiom{\\spad{enc}}.")) (|OMclose| (((|Void|) $) "\\spad{OMclose(dev)} closes \\axiom{\\spad{dev}},{} flushing output if necessary.")) (|OMopenString| (($ (|String|) (|OpenMathEncoding|)) "\\spad{OMopenString(s,{}mode)} opens the string \\axiom{\\spad{s}} for reading or writing OpenMath objects in encoding \\axiom{enc}.")) (|OMopenFile| (($ (|String|) (|String|) (|OpenMathEncoding|)) "\\spad{OMopenFile(f,{}mode,{}enc)} opens file \\axiom{\\spad{f}} for reading or writing OpenMath objects (depending on \\axiom{\\spad{mode}} which can be \\spad{\"r\"},{} \\spad{\"w\"} or \"a\" for read,{} write and append respectively),{} in the encoding \\axiom{\\spad{enc}}."))) 
 NIL 
 NIL 
-(-818) 
+(-819) 
 ((|constructor| (NIL "\\spadtype{OpenMathEncoding} is the set of valid OpenMath encodings.")) (|OMencodingBinary| (($) "\\spad{OMencodingBinary()} is the constant for the OpenMath binary encoding.")) (|OMencodingSGML| (($) "\\spad{OMencodingSGML()} is the constant for the deprecated OpenMath SGML encoding.")) (|OMencodingXML| (($) "\\spad{OMencodingXML()} is the constant for the OpenMath \\spad{XML} encoding.")) (|OMencodingUnknown| (($) "\\spad{OMencodingUnknown()} is the constant for unknown encoding types. If this is used on an input device,{} the encoding will be autodetected. It is invalid to use it on an output device."))) 
 NIL 
 NIL 
-(-819) 
+(-820) 
 ((|constructor| (NIL "\\spadtype{OpenMathErrorKind} represents different kinds of OpenMath errors: specifically parse errors,{} unknown \\spad{CD} or symbol errors,{} and read errors.")) (|OMReadError?| (((|Boolean|) $) "\\spad{OMReadError?(u)} tests whether \\spad{u} is an OpenMath read error.")) (|OMUnknownSymbol?| (((|Boolean|) $) "\\spad{OMUnknownSymbol?(u)} tests whether \\spad{u} is an OpenMath unknown symbol error.")) (|OMUnknownCD?| (((|Boolean|) $) "\\spad{OMUnknownCD?(u)} tests whether \\spad{u} is an OpenMath unknown \\spad{CD} error.")) (|OMParseError?| (((|Boolean|) $) "\\spad{OMParseError?(u)} tests whether \\spad{u} is an OpenMath parsing error.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(u)} creates an OpenMath error object of an appropriate type if \\axiom{\\spad{u}} is one of \\axiom{OMParseError},{} \\axiom{OMReadError},{} \\axiom{OMUnknownCD} or \\axiom{OMUnknownSymbol},{} otherwise it raises a runtime error."))) 
 NIL 
 NIL 
-(-820) 
+(-821) 
 ((|constructor| (NIL "\\spadtype{OpenMathError} is the domain of OpenMath errors.")) (|omError| (($ (|OpenMathErrorKind|) (|List| (|Symbol|))) "\\spad{omError(k,{}l)} creates an instance of OpenMathError.")) (|errorInfo| (((|List| (|Symbol|)) $) "\\spad{errorInfo(u)} returns information about the error \\spad{u}.")) (|errorKind| (((|OpenMathErrorKind|) $) "\\spad{errorKind(u)} returns the type of error which \\spad{u} represents."))) 
 NIL 
 NIL 
-(-821 R) 
+(-822 R) 
 ((|constructor| (NIL "\\spadtype{ExpressionToOpenMath} provides support for converting objects of type \\spadtype{Expression} into OpenMath."))) 
 NIL 
 NIL 
-(-822 P R) 
+(-823 P R) 
 ((|constructor| (NIL "This constructor creates the \\spadtype{MonogenicLinearOperator} domain which is ``opposite\\spad{''} in the ring sense to \\spad{P}. That is,{} as sets \\spad{P = \\$} but \\spad{a * b} in \\spad{\\$} is equal to \\spad{b * a} in \\spad{P}.")) (|po| ((|#1| $) "\\spad{po(q)} creates a value in \\spad{P} equal to \\spad{q} in \\$.")) (|op| (($ |#1|) "\\spad{op(p)} creates a value in \\$ equal to \\spad{p} in \\spad{P}."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-225)))) 
-(-823) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-226)))) 
+(-824) 
 ((|constructor| (NIL "\\spadtype{OpenMath} provides operations for exporting an object in OpenMath format.")) (|OMwrite| (((|Void|) (|OpenMathDevice|) $ (|Boolean|)) "\\spad{OMwrite(dev,{} u,{} true)} writes the OpenMath form of \\axiom{\\spad{u}} to the OpenMath device \\axiom{\\spad{dev}} as a complete OpenMath object; OMwrite(\\spad{dev},{} \\spad{u},{} \\spad{false}) writes the object as an OpenMath fragment.") (((|Void|) (|OpenMathDevice|) $) "\\spad{OMwrite(dev,{} u)} writes the OpenMath form of \\axiom{\\spad{u}} to the OpenMath device \\axiom{\\spad{dev}} as a complete OpenMath object.") (((|String|) $ (|Boolean|)) "\\spad{OMwrite(u,{} true)} returns the OpenMath \\spad{XML} encoding of \\axiom{\\spad{u}} as a complete OpenMath object; OMwrite(\\spad{u},{} \\spad{false}) returns the OpenMath \\spad{XML} encoding of \\axiom{\\spad{u}} as an OpenMath fragment.") (((|String|) $) "\\spad{OMwrite(u)} returns the OpenMath \\spad{XML} encoding of \\axiom{\\spad{u}} as a complete OpenMath object."))) 
 NIL 
 NIL 
-(-824) 
+(-825) 
 ((|constructor| (NIL "\\spadtype{OpenMathPackage} provides some simple utilities to make reading OpenMath objects easier.")) (|OMunhandledSymbol| (((|Exit|) (|String|) (|String|)) "\\spad{OMunhandledSymbol(s,{}cd)} raises an error if AXIOM reads a symbol which it is unable to handle. Note that this is different from an unexpected symbol.")) (|OMsupportsSymbol?| (((|Boolean|) (|String|) (|String|)) "\\spad{OMsupportsSymbol?(s,{}cd)} returns \\spad{true} if AXIOM supports symbol \\axiom{\\spad{s}} from \\spad{CD} \\axiom{\\spad{cd}},{} \\spad{false} otherwise.")) (|OMsupportsCD?| (((|Boolean|) (|String|)) "\\spad{OMsupportsCD?(cd)} returns \\spad{true} if AXIOM supports \\axiom{\\spad{cd}},{} \\spad{false} otherwise.")) (|OMlistSymbols| (((|List| (|String|)) (|String|)) "\\spad{OMlistSymbols(cd)} lists all the symbols in \\axiom{\\spad{cd}}.")) (|OMlistCDs| (((|List| (|String|))) "\\spad{OMlistCDs()} lists all the \\spad{CDs} supported by AXIOM.")) (|OMreadStr| (((|Any|) (|String|)) "\\spad{OMreadStr(f)} reads an OpenMath object from \\axiom{\\spad{f}} and passes it to AXIOM.")) (|OMreadFile| (((|Any|) (|String|)) "\\spad{OMreadFile(f)} reads an OpenMath object from \\axiom{\\spad{f}} and passes it to AXIOM.")) (|OMread| (((|Any|) (|OpenMathDevice|)) "\\spad{OMread(dev)} reads an OpenMath object from \\axiom{\\spad{dev}} and passes it to AXIOM."))) 
 NIL 
 NIL 
-(-825 S) 
+(-826 S) 
 ((|constructor| (NIL "to become an in order iterator")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest entry in the multiset aggregate \\spad{u}."))) 
-((-4521 . T) (-4511 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4525 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-826) 
+(-827) 
 ((|constructor| (NIL "\\spadtype{OpenMathServerPackage} provides the necessary operations to run AXIOM as an OpenMath server,{} reading/writing objects to/from a port. Please note the facilities available here are very basic. The idea is that a user calls \\spadignore{e.g.} \\axiom{Omserve(4000,{}60)} and then another process sends OpenMath objects to port 4000 and reads the result.")) (|OMserve| (((|Void|) (|SingleInteger|) (|SingleInteger|)) "\\spad{OMserve(portnum,{}timeout)} puts AXIOM into server mode on port number \\axiom{\\spad{portnum}}. The parameter \\axiom{\\spad{timeout}} specifies the \\spad{timeout} period for the connection.")) (|OMsend| (((|Void|) (|OpenMathConnection|) (|Any|)) "\\spad{OMsend(c,{}u)} attempts to output \\axiom{\\spad{u}} on \\axiom{\\spad{c}} in OpenMath.")) (|OMreceive| (((|Any|) (|OpenMathConnection|)) "\\spad{OMreceive(c)} reads an OpenMath object from connection \\axiom{\\spad{c}} and returns the appropriate AXIOM object."))) 
 NIL 
 NIL 
-(-827 R S) 
+(-828 R S) 
 ((|constructor| (NIL "Lifting of maps to one-point completions.")) (|map| (((|OnePointCompletion| |#2|) (|Mapping| |#2| |#1|) (|OnePointCompletion| |#1|) (|OnePointCompletion| |#2|)) "\\spad{map(f,{} r,{} i)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(infinity) = \\spad{i}.") (((|OnePointCompletion| |#2|) (|Mapping| |#2| |#1|) (|OnePointCompletion| |#1|)) "\\spad{map(f,{} r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(infinity) = infinity."))) 
 NIL 
 NIL 
-(-828 R) 
-((|constructor| (NIL "Completion with infinity. Adjunction of a complex infinity to a set.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) 
-((-4518 |has| |#1| (-840))) 
-((|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-550))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (QUOTE (-21))) (-2199 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-840))))) 
 (-829 R) 
+((|constructor| (NIL "Completion with infinity. Adjunction of a complex infinity to a set.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) 
+((-4532 |has| |#1| (-841))) 
+((|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-551))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-841)))) (|HasCategory| |#1| (QUOTE (-21))) (-2232 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-841))))) 
+(-830 R) 
 ((|constructor| (NIL "Algebra of ADDITIVE operators over a ring."))) 
-((-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150)))) 
-(-830) 
+((-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151)))) 
+(-831) 
 ((|constructor| (NIL "This package exports tools to create AXIOM Library information databases.")) (|getDatabase| (((|Database| (|IndexCard|)) (|String|)) "\\spad{getDatabase(\"char\")} returns a list of appropriate entries in the browser database. The legal values for \\spad{\"char\"} are \"o\" (operations),{} \\spad{\"k\"} (constructors),{} \\spad{\"d\"} (domains),{} \\spad{\"c\"} (categories) or \\spad{\"p\"} (packages)."))) 
 NIL 
 NIL 
-(-831) 
+(-832) 
 ((|constructor| (NIL "\\axiomType{NumericalOptimizationCategory} is the \\axiom{category} for describing the set of Numerical Optimization \\axiom{domains} with \\axiomFun{measure} and \\axiomFun{optimize}.")) (|numericalOptimization| (((|Result|) (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) "\\spad{numericalOptimization(args)} performs the optimization of the function given the strategy or method returned by \\axiomFun{measure}.") (((|Result|) (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) "\\spad{numericalOptimization(args)} performs the optimization of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve an optimization problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far.") (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve an optimization problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-832) 
+(-833) 
 ((|constructor| (NIL "\\axiomType{AnnaNumericalOptimizationPackage} is a \\axiom{package} of functions for the \\axiomType{NumericalOptimizationCategory} with \\axiom{measure} and \\axiom{optimize}.")) (|goodnessOfFit| (((|Result|) (|List| (|Expression| (|Float|))) (|List| (|Float|))) "\\spad{goodnessOfFit(lf,{}start)} is a top level ANNA function to check to goodness of fit of a least squares model \\spadignore{i.e.} the minimization of a set of functions,{} \\axiom{\\spad{lf}},{} of one or more variables without constraints. \\blankline The parameter \\axiom{\\spad{start}} is a list of the initial guesses of the values of the variables. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}. It then calls the numerical routine \\axiomType{E04YCF} to get estimates of the variance-covariance matrix of the regression coefficients of the least-squares problem. \\blankline It thus returns both the results of the optimization and the variance-covariance calculation. goodnessOfFit(\\spad{lf},{}\\spad{start}) is a top level function to iterate over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}. It then checks the goodness of fit of the least squares model.") (((|Result|) (|NumericalOptimizationProblem|)) "\\spad{goodnessOfFit(prob)} is a top level ANNA function to check to goodness of fit of a least squares model as defined within \\axiom{\\spad{prob}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}. It then calls the numerical routine \\axiomType{E04YCF} to get estimates of the variance-covariance matrix of the regression coefficients of the least-squares problem. \\blankline It thus returns both the results of the optimization and the variance-covariance calculation.")) (|optimize| (((|Result|) (|List| (|Expression| (|Float|))) (|List| (|Float|))) "\\spad{optimize(lf,{}start)} is a top level ANNA function to minimize a set of functions,{} \\axiom{\\spad{lf}},{} of one or more variables without constraints \\spadignore{i.e.} a least-squares problem. \\blankline The parameter \\axiom{\\spad{start}} is a list of the initial guesses of the values of the variables. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Float|))) "\\spad{optimize(f,{}start)} is a top level ANNA function to minimize a function,{} \\axiom{\\spad{f}},{} of one or more variables without constraints. \\blankline The parameter \\axiom{\\spad{start}} is a list of the initial guesses of the values of the variables. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Float|)) (|List| (|OrderedCompletion| (|Float|))) (|List| (|OrderedCompletion| (|Float|)))) "\\spad{optimize(f,{}start,{}lower,{}upper)} is a top level ANNA function to minimize a function,{} \\axiom{\\spad{f}},{} of one or more variables with simple constraints. The bounds on the variables are defined in \\axiom{\\spad{lower}} and \\axiom{\\spad{upper}}. \\blankline The parameter \\axiom{\\spad{start}} is a list of the initial guesses of the values of the variables. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Float|)) (|List| (|OrderedCompletion| (|Float|))) (|List| (|Expression| (|Float|))) (|List| (|OrderedCompletion| (|Float|)))) "\\spad{optimize(f,{}start,{}lower,{}cons,{}upper)} is a top level ANNA function to minimize a function,{} \\axiom{\\spad{f}},{} of one or more variables with the given constraints. \\blankline These constraints may be simple constraints on the variables in which case \\axiom{\\spad{cons}} would be an empty list and the bounds on those variables defined in \\axiom{\\spad{lower}} and \\axiom{\\spad{upper}},{} or a mixture of simple,{} linear and non-linear constraints,{} where \\axiom{\\spad{cons}} contains the linear and non-linear constraints and the bounds on these are added to \\axiom{\\spad{upper}} and \\axiom{\\spad{lower}}. \\blankline The parameter \\axiom{\\spad{start}} is a list of the initial guesses of the values of the variables. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}.") (((|Result|) (|NumericalOptimizationProblem|)) "\\spad{optimize(prob)} is a top level ANNA function to minimize a function or a set of functions with any constraints as defined within \\axiom{\\spad{prob}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}.") (((|Result|) (|NumericalOptimizationProblem|) (|RoutinesTable|)) "\\spad{optimize(prob,{}routines)} is a top level ANNA function to minimize a function or a set of functions with any constraints as defined within \\axiom{\\spad{prob}}. \\blankline It iterates over the \\axiom{domains} listed in \\axiom{\\spad{routines}} of \\axiomType{NumericalOptimizationCategory} to get the name and other relevant information of the best \\axiom{measure} and then optimize the function on that \\axiom{domain}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalOptimizationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,{}R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical optimization problem defined by \\axiom{\\spad{prob}} by checking various attributes of the functions and calculating a measure of compatibility of each routine to these attributes. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalOptimizationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalOptimizationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical optimization problem defined by \\axiom{\\spad{prob}} by checking various attributes of the functions and calculating a measure of compatibility of each routine to these attributes. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalOptimizationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information."))) 
 NIL 
 NIL 
-(-833) 
+(-834) 
 ((|constructor| (NIL "\\axiomType{NumericalOptimizationProblem} is a \\axiom{domain} for the representation of Numerical Optimization problems for use by ANNA. \\blankline The representation is a Union of two record types - one for otimization of a single function of one or more variables: \\blankline \\axiomType{Record}(\\spad{\\br} \\spad{fn:}\\axiomType{Expression DoubleFloat},{}\\spad{\\br} init:\\axiomType{List DoubleFloat},{}\\spad{\\br} \\spad{lb:}\\axiomType{List OrderedCompletion DoubleFloat},{}\\spad{\\br} \\spad{cf:}\\axiomType{List Expression DoubleFloat},{}\\spad{\\br} ub:\\axiomType{List OrderedCompletion DoubleFloat}) \\blankline and one for least-squares problems \\spadignore{i.e.} optimization of a set of observations of a data set: \\blankline \\axiomType{Record}(lfn:\\axiomType{List Expression DoubleFloat},{}\\spad{\\br} init:\\axiomType{List DoubleFloat}).")) (|retract| (((|Union| (|:| |noa| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|:| |lsa| (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|)))))) $) "\\spad{retract(x)} is not documented")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(x)} is not documented") (($ (|Union| (|:| |noa| (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) (|:| |lsa| (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))))) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |lfn| (|List| (|Expression| (|DoubleFloat|)))) (|:| |init| (|List| (|DoubleFloat|))))) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |init| (|List| (|DoubleFloat|))) (|:| |lb| (|List| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |cf| (|List| (|Expression| (|DoubleFloat|)))) (|:| |ub| (|List| (|OrderedCompletion| (|DoubleFloat|)))))) "\\spad{coerce(x)} is not documented"))) 
 NIL 
 NIL 
-(-834 R S) 
+(-835 R S) 
 ((|constructor| (NIL "Lifting of maps to ordered completions.")) (|map| (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{map(f,{} r,{} p,{} m)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = \\spad{p} and that \\spad{f}(minusInfinity) = \\spad{m}.") (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|)) "\\spad{map(f,{} r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = plusInfinity and that \\spad{f}(minusInfinity) = minusInfinity."))) 
 NIL 
 NIL 
-(-835 R) 
+(-836 R) 
 ((|constructor| (NIL "Completion with + and - infinity. Adjunction of two real infinites quantities to a set.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} cannot be so converted.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|whatInfinity| (((|SingleInteger|) $) "\\spad{whatInfinity(x)} returns 0 if \\spad{x} is finite,{} 1 if \\spad{x} is +infinity,{} and \\spad{-1} if \\spad{x} is -infinity.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is +infinity or -infinity,{}")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|minusInfinity| (($) "\\spad{minusInfinity()} returns -infinity.")) (|plusInfinity| (($) "\\spad{plusInfinity()} returns +infinity."))) 
-((-4518 |has| |#1| (-840))) 
-((|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-550))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (QUOTE (-21))) (-2199 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-840))))) 
-(-836) 
+((-4532 |has| |#1| (-841))) 
+((|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-551))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-841)))) (|HasCategory| |#1| (QUOTE (-21))) (-2232 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-841))))) 
+(-837) 
 ((|constructor| (NIL "Ordered finite sets."))) 
 NIL 
 NIL 
-(-837 -1965 S) 
+(-838 -4391 S) 
 ((|constructor| (NIL "This package provides ordering functions on vectors which are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,{}v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,{}v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,{}v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering."))) 
 NIL 
 NIL 
-(-838) 
+(-839) 
 ((|constructor| (NIL "Ordered sets which are also monoids,{} such that multiplication preserves the ordering. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{x < y => x*z < y*z}\\spad{\\br} \\tab{5}\\spad{x < y => z*x < z*y}"))) 
 NIL 
 NIL 
-(-839 S) 
+(-840 S) 
 ((|constructor| (NIL "Ordered sets which are also rings,{} that is,{} domains where the ring operations are compatible with the ordering. \\blankline Axiom\\spad{\\br} \\tab{5}\\spad{0 ab< ac}")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x}.")) (|sign| (((|Integer|) $) "\\spad{sign(x)} is 1 if \\spad{x} is positive,{} \\spad{-1} if \\spad{x} is negative,{} 0 if \\spad{x} equals 0.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(x)} tests whether \\spad{x} is strictly less than 0.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(x)} tests whether \\spad{x} is strictly greater than 0."))) 
 NIL 
 NIL 
-(-840) 
+(-841) 
 ((|constructor| (NIL "Ordered sets which are also rings,{} that is,{} domains where the ring operations are compatible with the ordering. \\blankline Axiom\\spad{\\br} \\tab{5}\\spad{0 ab< ac}")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x}.")) (|sign| (((|Integer|) $) "\\spad{sign(x)} is 1 if \\spad{x} is positive,{} \\spad{-1} if \\spad{x} is negative,{} 0 if \\spad{x} equals 0.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(x)} tests whether \\spad{x} is strictly less than 0.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(x)} tests whether \\spad{x} is strictly greater than 0."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-841 S) 
+(-842 S) 
 ((|constructor| (NIL "The class of totally ordered sets,{} that is,{} sets such that for each pair of elements \\spad{(a,{}b)} exactly one of the following relations holds \\spad{a a= (((|Boolean|) $ $) "\\spad{x >= y} is a greater than or equal test.")) (> (((|Boolean|) $ $) "\\spad{x > y} is a greater than test.")) (< (((|Boolean|) $ $) "\\spad{x < y} is a strict total ordering on the elements of the set."))) 
 NIL 
 NIL 
-(-842) 
+(-843) 
 ((|constructor| (NIL "The class of totally ordered sets,{} that is,{} sets such that for each pair of elements \\spad{(a,{}b)} exactly one of the following relations holds \\spad{a a= (((|Boolean|) $ $) "\\spad{x >= y} is a greater than or equal test.")) (> (((|Boolean|) $ $) "\\spad{x > y} is a greater than test.")) (< (((|Boolean|) $ $) "\\spad{x < y} is a strict total ordering on the elements of the set."))) 
 NIL 
 NIL 
-(-843 S R) 
+(-844 S R) 
 ((|constructor| (NIL "This is the category of univariate skew polynomials over an Ore coefficient ring. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}. This category is an evolution of the types MonogenicLinearOperator,{} OppositeMonogenicLinearOperator,{} and NonCommutativeOperatorDivision")) (|leftLcm| (($ $ $) "\\spad{leftLcm(a,{}b)} computes the value \\spad{m} of lowest degree such that \\spad{m = aa*a = bb*b} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using right-division.")) (|rightExtendedGcd| (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{rightExtendedGcd(a,{}b)} returns \\spad{[c,{}d]} such that \\spad{g = c * a + d * b = rightGcd(a,{} b)}.")) (|rightGcd| (($ $ $) "\\spad{rightGcd(a,{}b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using right-division.")) (|rightExactQuotient| (((|Union| $ "failed") $ $) "\\spad{rightExactQuotient(a,{}b)} computes the value \\spad{q},{} if it exists such that \\spad{a = q*b}.")) (|rightRemainder| (($ $ $) "\\spad{rightRemainder(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|rightQuotient| (($ $ $) "\\spad{rightQuotient(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|rightDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{rightDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}.")) (|rightLcm| (($ $ $) "\\spad{rightLcm(a,{}b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftExtendedGcd| (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{leftExtendedGcd(a,{}b)} returns \\spad{[c,{}d]} such that \\spad{g = a * c + b * d = leftGcd(a,{} b)}.")) (|leftGcd| (($ $ $) "\\spad{leftGcd(a,{}b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = g*aa}} \\indented{3}{\\spad{b = g*bb}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| $ "failed") $ $) "\\spad{leftExactQuotient(a,{}b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| (($ $ $) "\\spad{leftRemainder(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| (($ $ $) "\\spad{leftQuotient(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{leftDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}.")) (|primitivePart| (($ $) "\\spad{primitivePart(l)} returns \\spad{l0} such that \\spad{l = a * l0} for some a in \\spad{R},{} and \\spad{content(l0) = 1}.")) (|content| ((|#2| $) "\\spad{content(l)} returns the \\spad{gcd} of all the coefficients of \\spad{l}.")) (|monicRightDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicRightDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}.")) (|monicLeftDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicLeftDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}.")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(l,{} a)} returns the exact quotient of \\spad{l} by a,{} returning \\axiom{\"failed\"} if this is not possible.")) (|apply| ((|#2| $ |#2| |#2|) "\\spad{apply(p,{} c,{} m)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|coefficients| (((|List| |#2|) $) "\\spad{coefficients(l)} returns the list of all the nonzero coefficients of \\spad{l}.")) (|monomial| (($ |#2| (|NonNegativeInteger|)) "\\spad{monomial(c,{}k)} produces \\spad{c} times the \\spad{k}-th power of the generating operator,{} \\spad{monomial(1,{}1)}.")) (|coefficient| ((|#2| $ (|NonNegativeInteger|)) "\\spad{coefficient(l,{}k)} is \\spad{a(k)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|reductum| (($ $) "\\spad{reductum(l)} is \\spad{l - monomial(a(n),{}n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(l)} is \\spad{a(n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|minimumDegree| (((|NonNegativeInteger|) $) "\\spad{minimumDegree(l)} is the smallest \\spad{k} such that \\spad{a(k) ^= 0} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(l)} is \\spad{n} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}"))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172)))) 
-(-844 R) 
+((|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173)))) 
+(-845 R) 
 ((|constructor| (NIL "This is the category of univariate skew polynomials over an Ore coefficient ring. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}. This category is an evolution of the types MonogenicLinearOperator,{} OppositeMonogenicLinearOperator,{} and NonCommutativeOperatorDivision")) (|leftLcm| (($ $ $) "\\spad{leftLcm(a,{}b)} computes the value \\spad{m} of lowest degree such that \\spad{m = aa*a = bb*b} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using right-division.")) (|rightExtendedGcd| (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{rightExtendedGcd(a,{}b)} returns \\spad{[c,{}d]} such that \\spad{g = c * a + d * b = rightGcd(a,{} b)}.")) (|rightGcd| (($ $ $) "\\spad{rightGcd(a,{}b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using right-division.")) (|rightExactQuotient| (((|Union| $ "failed") $ $) "\\spad{rightExactQuotient(a,{}b)} computes the value \\spad{q},{} if it exists such that \\spad{a = q*b}.")) (|rightRemainder| (($ $ $) "\\spad{rightRemainder(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|rightQuotient| (($ $ $) "\\spad{rightQuotient(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|rightDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{rightDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}.")) (|rightLcm| (($ $ $) "\\spad{rightLcm(a,{}b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftExtendedGcd| (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{leftExtendedGcd(a,{}b)} returns \\spad{[c,{}d]} such that \\spad{g = a * c + b * d = leftGcd(a,{} b)}.")) (|leftGcd| (($ $ $) "\\spad{leftGcd(a,{}b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = g*aa}} \\indented{3}{\\spad{b = g*bb}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| $ "failed") $ $) "\\spad{leftExactQuotient(a,{}b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| (($ $ $) "\\spad{leftRemainder(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| (($ $ $) "\\spad{leftQuotient(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{leftDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}.")) (|primitivePart| (($ $) "\\spad{primitivePart(l)} returns \\spad{l0} such that \\spad{l = a * l0} for some a in \\spad{R},{} and \\spad{content(l0) = 1}.")) (|content| ((|#1| $) "\\spad{content(l)} returns the \\spad{gcd} of all the coefficients of \\spad{l}.")) (|monicRightDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicRightDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}.")) (|monicLeftDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicLeftDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(l,{} a)} returns the exact quotient of \\spad{l} by a,{} returning \\axiom{\"failed\"} if this is not possible.")) (|apply| ((|#1| $ |#1| |#1|) "\\spad{apply(p,{} c,{} m)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(l)} returns the list of all the nonzero coefficients of \\spad{l}.")) (|monomial| (($ |#1| (|NonNegativeInteger|)) "\\spad{monomial(c,{}k)} produces \\spad{c} times the \\spad{k}-th power of the generating operator,{} \\spad{monomial(1,{}1)}.")) (|coefficient| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coefficient(l,{}k)} is \\spad{a(k)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|reductum| (($ $) "\\spad{reductum(l)} is \\spad{l - monomial(a(n),{}n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(l)} is \\spad{a(n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|minimumDegree| (((|NonNegativeInteger|) $) "\\spad{minimumDegree(l)} is the smallest \\spad{k} such that \\spad{a(k) ^= 0} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(l)} is \\spad{n} if \\indented{2}{\\spad{l = sum(monomial(a(i),{}i),{} i = 0..n)}.}"))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-845 R C) 
+(-846 R C) 
 ((|constructor| (NIL "\\spad{UnivariateSkewPolynomialCategoryOps} provides products and divisions of univariate skew polynomials.")) (|rightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{rightDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|leftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{leftDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicRightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicRightDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicLeftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicLeftDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|apply| ((|#1| |#2| |#1| |#1| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{apply(p,{} c,{} m,{} sigma,{} delta)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|times| ((|#2| |#2| |#2| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{times(p,{} q,{} sigma,{} delta)} returns \\spad{p * q}. \\spad{\\sigma} and \\spad{\\delta} are the maps to use."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) 
-(-846 R |sigma| -3488) 
+((|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) 
+(-847 R |sigma| -2385) 
 ((|constructor| (NIL "This is the domain of sparse univariate skew polynomials over an Ore coefficient field. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,{} x)} returns the output form of \\spad{p} using \\spad{x} for the otherwise anonymous variable."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-847 |x| R |sigma| -3488) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-848 |x| R |sigma| -2385) 
 ((|constructor| (NIL "This is the domain of univariate skew polynomials over an Ore coefficient field in a named variable. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|coerce| (($ (|Variable| |#1|)) "\\spad{coerce(x)} returns \\spad{x} as a skew-polynomial."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-365)))) 
-(-848 R) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-366)))) 
+(-849 R) 
 ((|constructor| (NIL "This package provides orthogonal polynomials as functions on a ring.")) (|legendreP| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{legendreP(n,{}x)} is the \\spad{n}-th Legendre polynomial,{} \\spad{P[n](x)}. These are defined by \\spad{1/sqrt(1-2*x*t+t**2) = sum(P[n](x)*t**n,{} n = 0..)}.")) (|laguerreL| ((|#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{laguerreL(m,{}n,{}x)} is the associated Laguerre polynomial,{} \\spad{L[n](x)}. This is the \\spad{m}-th derivative of \\spad{L[n](x)}.") ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{laguerreL(n,{}x)} is the \\spad{n}-th Laguerre polynomial,{} \\spad{L[n](x)}. These are defined by \\spad{exp(-t*x/(1-t))/(1-t) = sum(L[n](x)*t**n/n!,{} n = 0..)}.")) (|hermiteH| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{hermiteH(n,{}x)} is the \\spad{n}-th Hermite polynomial,{} \\spad{H[n](x)}. These are defined by \\spad{exp(2*t*x-t**2) = sum(H[n](x)*t**n/n!,{} n = 0..)}.")) (|chebyshevU| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{chebyshevU(n,{}x)} is the \\spad{n}-th Chebyshev polynomial of the second kind,{} \\spad{U[n](x)}. These are defined by \\spad{1/(1-2*t*x+t**2) = sum(T[n](x) *t**n,{} n = 0..)}.")) (|chebyshevT| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{chebyshevT(n,{}x)} is the \\spad{n}-th Chebyshev polynomial of the first kind,{} \\spad{T[n](x)}. These are defined by \\spad{(1-t*x)/(1-2*t*x+t**2) = sum(T[n](x) *t**n,{} n = 0..)}."))) 
 NIL 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568)))))) 
-(-849) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569)))))) 
+(-850) 
 ((|constructor| (NIL "A domain used in order to take the free \\spad{R}-module on the Integers \\spad{I}. This is actually the forgetful functor from OrderedRings to OrderedSets applied to \\spad{I}")) (|value| (((|Integer|) $) "\\spad{value(x)} returns the integer associated with \\spad{x}")) (|coerce| (($ (|Integer|)) "\\spad{coerce(i)} returns the element corresponding to \\spad{i}"))) 
 NIL 
 NIL 
-(-850) 
+(-851) 
 ((|constructor| (NIL "This domain is used to create and manipulate mathematical expressions for output. It is intended to provide an insulating layer between the expression rendering software (\\spadignore{e.g.} TeX,{} or Script) and the output coercions in the various domains.")) (SEGMENT (($ $) "\\spad{SEGMENT(x)} creates the prefix form: \\spad{x..}.") (($ $ $) "\\spad{SEGMENT(x,{}y)} creates the infix form: \\spad{x..y}.")) (|not| (($ $) "\\spad{not f} creates the equivalent prefix form.")) (|or| (($ $ $) "\\spad{f or g} creates the equivalent infix form.")) (|and| (($ $ $) "\\spad{f and g} creates the equivalent infix form.")) (|exquo| (($ $ $) "\\spad{exquo(f,{}g)} creates the equivalent infix form.")) (|quo| (($ $ $) "\\spad{f quo g} creates the equivalent infix form.")) (|rem| (($ $ $) "\\spad{f rem g} creates the equivalent infix form.")) (|div| (($ $ $) "\\spad{f div g} creates the equivalent infix form.")) (** (($ $ $) "\\spad{f ** g} creates the equivalent infix form.")) (/ (($ $ $) "\\spad{f / g} creates the equivalent infix form.")) (* (($ $ $) "\\spad{f * g} creates the equivalent infix form.")) (- (($ $) "\\spad{- f} creates the equivalent prefix form.") (($ $ $) "\\spad{f - g} creates the equivalent infix form.")) (+ (($ $ $) "\\spad{f + g} creates the equivalent infix form.")) (>= (($ $ $) "\\spad{f >= g} creates the equivalent infix form.")) (<= (($ $ $) "\\spad{f <= g} creates the equivalent infix form.")) (> (($ $ $) "\\spad{f > g} creates the equivalent infix form.")) (< (($ $ $) "\\spad{f < g} creates the equivalent infix form.")) (^= (($ $ $) "\\spad{f ^= g} creates the equivalent infix form.")) (= (($ $ $) "\\spad{f = g} creates the equivalent infix form.")) (|blankSeparate| (($ (|List| $)) "\\spad{blankSeparate(l)} creates the form separating the elements of \\spad{l} by blanks.")) (|semicolonSeparate| (($ (|List| $)) "\\spad{semicolonSeparate(l)} creates the form separating the elements of \\spad{l} by semicolons.")) (|commaSeparate| (($ (|List| $)) "\\spad{commaSeparate(l)} creates the form separating the elements of \\spad{l} by commas.")) (|pile| (($ (|List| $)) "\\spad{pile(l)} creates the form consisting of the elements of \\spad{l} which displays as a pile,{} \\spadignore{i.e.} the elements begin on a new line and are indented right to the same margin.")) (|paren| (($ (|List| $)) "\\spad{paren(lf)} creates the form separating the elements of \\spad{lf} by commas and encloses the result in parentheses.") (($ $) "\\spad{paren(f)} creates the form enclosing \\spad{f} in parentheses.")) (|bracket| (($ (|List| $)) "\\spad{bracket(lf)} creates the form separating the elements of \\spad{lf} by commas and encloses the result in square brackets.") (($ $) "\\spad{bracket(f)} creates the form enclosing \\spad{f} in square brackets.")) (|brace| (($ (|List| $)) "\\spad{brace(lf)} creates the form separating the elements of \\spad{lf} by commas and encloses the result in curly brackets.") (($ $) "\\spad{brace(f)} creates the form enclosing \\spad{f} in braces (curly brackets).")) (|int| (($ $ $ $) "\\spad{int(expr,{}lowerlimit,{}upperlimit)} creates the form prefixing \\spad{expr} by an integral sign with both a \\spad{lowerlimit} and \\spad{upperlimit}.") (($ $ $) "\\spad{int(expr,{}lowerlimit)} creates the form prefixing \\spad{expr} by an integral sign with a \\spad{lowerlimit}.") (($ $) "\\spad{int(expr)} creates the form prefixing \\spad{expr} with an integral sign.")) (|prod| (($ $ $ $) "\\spad{prod(expr,{}lowerlimit,{}upperlimit)} creates the form prefixing \\spad{expr} by a capital \\spad{pi} with both a \\spad{lowerlimit} and \\spad{upperlimit}.") (($ $ $) "\\spad{prod(expr,{}lowerlimit)} creates the form prefixing \\spad{expr} by a capital \\spad{pi} with a \\spad{lowerlimit}.") (($ $) "\\spad{prod(expr)} creates the form prefixing \\spad{expr} by a capital \\spad{pi}.")) (|sum| (($ $ $ $) "\\spad{sum(expr,{}lowerlimit,{}upperlimit)} creates the form prefixing \\spad{expr} by a capital sigma with both a \\spad{lowerlimit} and \\spad{upperlimit}.") (($ $ $) "\\spad{sum(expr,{}lowerlimit)} creates the form prefixing \\spad{expr} by a capital sigma with a \\spad{lowerlimit}.") (($ $) "\\spad{sum(expr)} creates the form prefixing \\spad{expr} by a capital sigma.")) (|overlabel| (($ $ $) "\\spad{overlabel(x,{}f)} creates the form \\spad{f} with \\spad{\"x} overbar\" over the top.")) (|overbar| (($ $) "\\spad{overbar(f)} creates the form \\spad{f} with an overbar.")) (|prime| (($ $ (|NonNegativeInteger|)) "\\spad{prime(f,{}n)} creates the form \\spad{f} followed by \\spad{n} primes.") (($ $) "\\spad{prime(f)} creates the form \\spad{f} followed by a suffix prime (single quote).")) (|dot| (($ $ (|NonNegativeInteger|)) "\\spad{dot(f,{}n)} creates the form \\spad{f} with \\spad{n} dots overhead.") (($ $) "\\spad{dot(f)} creates the form with a one dot overhead.")) (|quote| (($ $) "\\spad{quote(f)} creates the form \\spad{f} with a prefix quote.")) (|supersub| (($ $ (|List| $)) "\\spad{supersub(a,{}[sub1,{}super1,{}sub2,{}super2,{}...])} creates a form with each subscript aligned under each superscript.")) (|scripts| (($ $ (|List| $)) "\\spad{scripts(f,{} [sub,{} super,{} presuper,{} presub])} \\indented{1}{creates a form for \\spad{f} with scripts on all 4 corners.}")) (|presuper| (($ $ $) "\\spad{presuper(f,{}n)} creates a form for \\spad{f} presuperscripted by \\spad{n}.")) (|presub| (($ $ $) "\\spad{presub(f,{}n)} creates a form for \\spad{f} presubscripted by \\spad{n}.")) (|super| (($ $ $) "\\spad{super(f,{}n)} creates a form for \\spad{f} superscripted by \\spad{n}.")) (|sub| (($ $ $) "\\spad{sub(f,{}n)} creates a form for \\spad{f} subscripted by \\spad{n}.")) (|binomial| (($ $ $) "\\spad{binomial(n,{}m)} creates a form for the binomial coefficient of \\spad{n} and \\spad{m}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(f,{}n)} creates a form for the \\spad{n}th derivative of \\spad{f},{} \\spadignore{e.g.} \\spad{f'},{} \\spad{f''},{} \\spad{f'''},{} \\spad{\"f} super \\spad{iv}\".")) (|rarrow| (($ $ $) "\\spad{rarrow(f,{}g)} creates a form for the mapping \\spad{f -> g}.")) (|assign| (($ $ $) "\\spad{assign(f,{}g)} creates a form for the assignment \\spad{f := g}.")) (|slash| (($ $ $) "\\spad{slash(f,{}g)} creates a form for the horizontal fraction of \\spad{f} over \\spad{g}.")) (|over| (($ $ $) "\\spad{over(f,{}g)} creates a form for the vertical fraction of \\spad{f} over \\spad{g}.")) (|root| (($ $ $) "\\spad{root(f,{}n)} creates a form for the \\spad{n}th root of form \\spad{f}.") (($ $) "\\spad{root(f)} creates a form for the square root of form \\spad{f}.")) (|zag| (($ $ $) "\\spad{zag(f,{}g)} creates a form for the continued fraction form for \\spad{f} over \\spad{g}.")) (|matrix| (($ (|List| (|List| $))) "\\spad{matrix(llf)} makes \\spad{llf} (a list of lists of forms) into a form which displays as a matrix.")) (|box| (($ $) "\\spad{box(f)} encloses \\spad{f} in a box.")) (|label| (($ $ $) "\\spad{label(n,{}f)} gives form \\spad{f} an equation label \\spad{n}.")) (|string| (($ $) "\\spad{string(f)} creates \\spad{f} with string quotes.")) (|elt| (($ $ (|List| $)) "\\spad{elt(op,{}l)} creates a form for application of \\spad{op} to list of arguments \\spad{l}.")) (|infix?| (((|Boolean|) $) "\\spad{infix?(op)} returns \\spad{true} if \\spad{op} is an infix operator,{} and \\spad{false} otherwise.")) (|postfix| (($ $ $) "\\spad{postfix(op,{} a)} creates a form which prints as: a \\spad{op}.")) (|infix| (($ $ $ $) "\\spad{infix(op,{} a,{} b)} creates a form which prints as: a \\spad{op} \\spad{b}.") (($ $ (|List| $)) "\\spad{infix(f,{}l)} creates a form depicting the \\spad{n}-ary application of infix operation \\spad{f} to a tuple of arguments \\spad{l}.")) (|prefix| (($ $ (|List| $)) "\\spad{prefix(f,{}l)} creates a form depicting the \\spad{n}-ary prefix application of \\spad{f} to a tuple of arguments given by list \\spad{l}.")) (|vconcat| (($ (|List| $)) "\\spad{vconcat(u)} vertically concatenates all forms in list \\spad{u}.") (($ $ $) "\\spad{vconcat(f,{}g)} vertically concatenates forms \\spad{f} and \\spad{g}.")) (|hconcat| (($ (|List| $)) "\\spad{hconcat(u)} horizontally concatenates all forms in list \\spad{u}.") (($ $ $) "\\spad{hconcat(f,{}g)} horizontally concatenate forms \\spad{f} and \\spad{g}.")) (|center| (($ $) "\\spad{center(f)} centers form \\spad{f} in total space.") (($ $ (|Integer|)) "\\spad{center(f,{}n)} centers form \\spad{f} within space of width \\spad{n}.")) (|right| (($ $) "\\spad{right(f)} right-justifies form \\spad{f} in total space.") (($ $ (|Integer|)) "\\spad{right(f,{}n)} right-justifies form \\spad{f} within space of width \\spad{n}.")) (|left| (($ $) "\\spad{left(f)} left-justifies form \\spad{f} in total space.") (($ $ (|Integer|)) "\\spad{left(f,{}n)} left-justifies form \\spad{f} within space of width \\spad{n}.")) (|rspace| (($ (|Integer|) (|Integer|)) "\\spad{rspace(n,{}m)} creates rectangular white space,{} \\spad{n} wide by \\spad{m} high.")) (|vspace| (($ (|Integer|)) "\\spad{vspace(n)} creates white space of height \\spad{n}.")) (|hspace| (($ (|Integer|)) "\\spad{hspace(n)} creates white space of width \\spad{n}.")) (|superHeight| (((|Integer|) $) "\\spad{superHeight(f)} returns the height of form \\spad{f} above the base line.")) (|subHeight| (((|Integer|) $) "\\spad{subHeight(f)} returns the height of form \\spad{f} below the base line.")) (|height| (((|Integer|)) "\\spad{height()} returns the height of the display area (an integer).") (((|Integer|) $) "\\spad{height(f)} returns the height of form \\spad{f} (an integer).")) (|width| (((|Integer|)) "\\spad{width()} returns the width of the display area (an integer).") (((|Integer|) $) "\\spad{width(f)} returns the width of form \\spad{f} (an integer).")) (|empty| (($) "\\spad{empty()} creates an empty form.")) (|outputForm| (($ (|DoubleFloat|)) "\\spad{outputForm(sf)} creates an form for small float \\spad{sf}.") (($ (|String|)) "\\spad{outputForm(s)} creates an form for string \\spad{s}.") (($ (|Symbol|)) "\\spad{outputForm(s)} creates an form for symbol \\spad{s}.") (($ (|Integer|)) "\\spad{outputForm(n)} creates an form for integer \\spad{n}.")) (|messagePrint| (((|Void|) (|String|)) "\\spad{messagePrint(s)} prints \\spad{s} without string quotes. Note: \\spad{messagePrint(s)} is equivalent to \\spad{print message(s)}.")) (|message| (($ (|String|)) "\\spad{message(s)} creates an form with no string quotes from string \\spad{s}.")) (|print| (((|Void|) $) "\\spad{print(u)} prints the form \\spad{u}."))) 
 NIL 
 NIL 
-(-851) 
+(-852) 
 ((|constructor| (NIL "OutPackage allows pretty-printing from programs.")) (|outputList| (((|Void|) (|List| (|Any|))) "\\spad{outputList(l)} displays the concatenated components of the list \\spad{l} on the ``algebra output\\spad{''} stream,{} as defined by \\spadsyscom{set output algebra}; quotes are stripped from strings.")) (|output| (((|Void|) (|String|) (|OutputForm|)) "\\spad{output(s,{}x)} displays the string \\spad{s} followed by the form \\spad{x} on the ``algebra output\\spad{''} stream,{} as defined by \\spadsyscom{set output algebra}.") (((|Void|) (|OutputForm|)) "\\spad{output(x)} displays the output form \\spad{x} on the ``algebra output\\spad{''} stream,{} as defined by \\spadsyscom{set output algebra}.") (((|Void|) (|String|)) "\\spad{output(s)} displays the string \\spad{s} on the ``algebra output\\spad{''} stream,{} as defined by \\spadsyscom{set output algebra}."))) 
 NIL 
 NIL 
-(-852 |VariableList|) 
+(-853 |VariableList|) 
 ((|constructor| (NIL "This domain implements ordered variables")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} returns a member of the variable set or failed"))) 
 NIL 
 NIL 
-(-853 R |vl| |wl| |wtlevel|) 
+(-854 R |vl| |wl| |wtlevel|) 
 ((|constructor| (NIL "This domain represents truncated weighted polynomials over the \"Polynomial\" type. The variables must be specified,{} as must the weights. The representation is sparse in the sense that only non-zero terms are represented.")) (|changeWeightLevel| (((|Void|) (|NonNegativeInteger|)) "\\spad{changeWeightLevel(n)} This changes the weight level to the new value given: \\spad{NB:} previously calculated terms are not affected")) (/ (((|Union| $ "failed") $ $) "\\spad{x/y} division (only works if minimum weight of divisor is zero,{} and if \\spad{R} is a Field)")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(p)} coerces a Polynomial(\\spad{R}) into Weighted form,{} applying weights and ignoring terms") (((|Polynomial| |#1|) $) "\\spad{coerce(p)} converts back into a Polynomial(\\spad{R}),{} ignoring weights"))) 
-((-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-854) 
+((-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-855) 
 ((|constructor| (NIL "This category exports the function for the domain PseudoAlgebraicClosureOfAlgExtOfRationalNumber which implement dynamic extension using the simple notion of tower extensions. A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-855 |downLevel|) 
+(-856 |downLevel|) 
 ((|constructor| (NIL "This domain implement dynamic extension over the PseudoAlgebraicClosureOfRationalNumber. A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-860) (QUOTE (-150))) (|HasCategory| (-860) (QUOTE (-148))) (|HasCategory| (-860) (QUOTE (-370))) (|HasCategory| (-409 (-568)) (QUOTE (-150))) (|HasCategory| (-409 (-568)) (QUOTE (-148))) (|HasCategory| (-409 (-568)) (QUOTE (-370))) (-2199 (|HasCategory| (-409 (-568)) (QUOTE (-148))) (|HasCategory| (-409 (-568)) (QUOTE (-370))) (|HasCategory| (-860) (QUOTE (-148))) (|HasCategory| (-860) (QUOTE (-370)))) (-2199 (|HasCategory| (-409 (-568)) (QUOTE (-370))) (|HasCategory| (-860) (QUOTE (-370))))) 
-(-856) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-861) (QUOTE (-151))) (|HasCategory| (-861) (QUOTE (-149))) (|HasCategory| (-861) (QUOTE (-371))) (|HasCategory| (-410 (-569)) (QUOTE (-151))) (|HasCategory| (-410 (-569)) (QUOTE (-149))) (|HasCategory| (-410 (-569)) (QUOTE (-371))) (-2232 (|HasCategory| (-410 (-569)) (QUOTE (-149))) (|HasCategory| (-410 (-569)) (QUOTE (-371))) (|HasCategory| (-861) (QUOTE (-149))) (|HasCategory| (-861) (QUOTE (-371)))) (-2232 (|HasCategory| (-410 (-569)) (QUOTE (-371))) (|HasCategory| (-861) (QUOTE (-371))))) 
+(-857) 
 ((|constructor| (NIL "This category exports the function for the domain PseudoAlgebraicClosureOfFiniteField which implement dynamic extension using the simple notion of tower extensions. A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-857 K) 
+(-858 K) 
 ((|constructor| (NIL "This domain implement dynamic extension using the simple notion of tower extensions. A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-370)))) 
-(-858) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-371)))) 
+(-859) 
 ((|constructor| (NIL "This category exports the function for domains which implement dynamic extension using the simple notion of tower extensions. \\spad{++} A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions.")) (|previousTower| (($ $) "\\spad{previousTower(a)} returns the previous tower extension over which the element a is defined.")) (|extDegree| (((|PositiveInteger|) $) "\\spad{extDegree(a)} returns the extension degree of the extension tower over which the element is defined.")) (|maxTower| (($ (|List| $)) "\\spad{maxTower(l)} returns the tower in the list having the maximal extension degree over the ground field. It has no meaning if the towers are not related.")) (|distinguishedRootsOf| (((|List| $) (|SparseUnivariatePolynomial| $) $) "\\spad{distinguishedRootsOf(p,{}a)} returns a (distinguised) root for each irreducible factor of the polynomial \\spad{p} (factored over the field defined by the element a)."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-859) 
+(-860) 
 ((|constructor| (NIL "This category exports the function for the domain PseudoAlgebraicClosureOfRationalNumber which implement dynamic extension using the simple notion of tower extensions. A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-860) 
+(-861) 
 ((|constructor| (NIL "This domain implements dynamic extension using the simple notion of tower extensions. A tower extension \\spad{T} of the ground field \\spad{K} is any sequence of field extension (\\spad{T} : \\spad{K_0},{} \\spad{K_1},{} ...,{} K_i...,{}\\spad{K_n}) where \\spad{K_0} = \\spad{K} and for \\spad{i} \\spad{=1},{}2,{}...,{}\\spad{n},{} K_i is an extension of \\spad{K_}{\\spad{i}-1} of degree > 1 and defined by an irreducible polynomial \\spad{p}(\\spad{Z}) in \\spad{K_}{\\spad{i}-1}. Two towers (T_1: \\spad{K_01},{} \\spad{K_11},{}...,{}\\spad{K_i1},{}...,{}\\spad{K_n1}) and (T_2: \\spad{K_02},{} \\spad{K_12},{}...,{}\\spad{K_i2},{}...,{}\\spad{K_n2}) are said to be related if \\spad{T_1} \\spad{<=} \\spad{T_2} (or \\spad{T_1} \\spad{>=} \\spad{T_2}),{} that is if \\spad{K_i1} = \\spad{K_i2} for \\spad{i=1},{}2,{}...,{}\\spad{n1} (or \\spad{i=1},{}2,{}...,{}\\spad{n2}). Any algebraic operations defined for several elements are only defined if all of the concerned elements are comming from a set of related tour extensions."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-409 (-568)) (QUOTE (-150))) (|HasCategory| (-409 (-568)) (QUOTE (-148))) (|HasCategory| (-409 (-568)) (QUOTE (-370))) (-2199 (|HasCategory| (-409 (-568)) (QUOTE (-148))) (|HasCategory| (-409 (-568)) (QUOTE (-370))))) 
-(-861 R PS UP) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-410 (-569)) (QUOTE (-151))) (|HasCategory| (-410 (-569)) (QUOTE (-149))) (|HasCategory| (-410 (-569)) (QUOTE (-371))) (-2232 (|HasCategory| (-410 (-569)) (QUOTE (-149))) (|HasCategory| (-410 (-569)) (QUOTE (-371))))) 
+(-862 R PS UP) 
 ((|constructor| (NIL "This package computes reliable Pad&ea. approximants using a generalized Viskovatov continued fraction algorithm.")) (|padecf| (((|Union| (|ContinuedFraction| |#3|) "failed") (|NonNegativeInteger|) (|NonNegativeInteger|) |#2| |#2|) "\\spad{padecf(nd,{}dd,{}ns,{}ds)} computes the approximant as a continued fraction of polynomials (if it exists) for arguments \\spad{nd} (numerator degree of approximant),{} \\spad{dd} (denominator degree of approximant),{} \\spad{ns} (numerator series of function),{} and \\spad{ds} (denominator series of function).")) (|pade| (((|Union| (|Fraction| |#3|) "failed") (|NonNegativeInteger|) (|NonNegativeInteger|) |#2| |#2|) "\\spad{pade(nd,{}dd,{}ns,{}ds)} computes the approximant as a quotient of polynomials (if it exists) for arguments \\spad{nd} (numerator degree of approximant),{} \\spad{dd} (denominator degree of approximant),{} \\spad{ns} (numerator series of function),{} and \\spad{ds} (denominator series of function)."))) 
 NIL 
 NIL 
-(-862 R |x| |pt|) 
+(-863 R |x| |pt|) 
 ((|constructor| (NIL "This package computes reliable Pad&ea. approximants using a generalized Viskovatov continued fraction algorithm.")) (|pade| (((|Union| (|Fraction| (|UnivariatePolynomial| |#2| |#1|)) "failed") (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateTaylorSeries| |#1| |#2| |#3|)) "\\spad{pade(nd,{}dd,{}s)} computes the quotient of polynomials (if it exists) with numerator degree at most \\spad{nd} and denominator degree at most \\spad{dd} which matches the series \\spad{s} to order \\spad{nd + dd}.") (((|Union| (|Fraction| (|UnivariatePolynomial| |#2| |#1|)) "failed") (|NonNegativeInteger|) (|NonNegativeInteger|) (|UnivariateTaylorSeries| |#1| |#2| |#3|) (|UnivariateTaylorSeries| |#1| |#2| |#3|)) "\\spad{pade(nd,{}dd,{}ns,{}ds)} computes the approximant as a quotient of polynomials (if it exists) for arguments \\spad{nd} (numerator degree of approximant),{} \\spad{dd} (denominator degree of approximant),{} \\spad{ns} (numerator series of function),{} and \\spad{ds} (denominator series of function)."))) 
 NIL 
 NIL 
-(-863 |p|) 
+(-864 |p|) 
 ((|constructor| (NIL "This is the category of stream-based representations of the \\spad{p}-adic integers.")) (|root| (($ (|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{root(f,{}a)} returns a root of the polynomial \\spad{f}. Argument \\spad{a} must be a root of \\spad{f} \\spad{(mod p)}.")) (|sqrt| (($ $ (|Integer|)) "\\spad{sqrt(b,{}a)} returns a square root of \\spad{b}. Argument \\spad{a} is a square root of \\spad{b} \\spad{(mod p)}.")) (|approximate| (((|Integer|) $ (|Integer|)) "\\spad{approximate(x,{}n)} returns an integer \\spad{y} such that \\spad{y = x (mod p^n)} when \\spad{n} is positive,{} and 0 otherwise.")) (|quotientByP| (($ $) "\\spad{quotientByP(x)} returns \\spad{b},{} where \\spad{x = a + b p}.")) (|moduloP| (((|Integer|) $) "\\spad{modulo(x)} returns a,{} where \\spad{x = a + b p}.")) (|modulus| (((|Integer|)) "\\spad{modulus()} returns the value of \\spad{p}.")) (|complete| (($ $) "\\spad{complete(x)} forces the computation of all digits.")) (|extend| (($ $ (|Integer|)) "\\spad{extend(x,{}n)} forces the computation of digits up to order \\spad{n}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the exponent of the highest power of \\spad{p} dividing \\spad{x}.")) (|digits| (((|Stream| (|Integer|)) $) "\\spad{digits(x)} returns a stream of \\spad{p}-adic digits of \\spad{x}."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-864 |p|) 
+(-865 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Zp:} \\spad{p}-adic numbers are represented as sum(\\spad{i} = 0..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-865 |p|) 
+(-866 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i) where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-864 |#1|) (QUOTE (-904))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-864 |#1|) (QUOTE (-148))) (|HasCategory| (-864 |#1|) (QUOTE (-150))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-864 |#1|) (QUOTE (-1021))) (|HasCategory| (-864 |#1|) (QUOTE (-815))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-864 |#1|) (QUOTE (-1136))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| (-864 |#1|) (QUOTE (-225))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -523) (QUOTE (-1161)) (LIST (QUOTE -864) (|devaluate| |#1|)))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -303) (LIST (QUOTE -864) (|devaluate| |#1|)))) (|HasCategory| (-864 |#1|) (LIST (QUOTE -281) (LIST (QUOTE -864) (|devaluate| |#1|)) (LIST (QUOTE -864) (|devaluate| |#1|)))) (|HasCategory| (-864 |#1|) (QUOTE (-301))) (|HasCategory| (-864 |#1|) (QUOTE (-550))) (|HasCategory| (-864 |#1|) (QUOTE (-842))) (-2199 (|HasCategory| (-864 |#1|) (QUOTE (-815))) (|HasCategory| (-864 |#1|) (QUOTE (-842)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-864 |#1|) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-864 |#1|) (QUOTE (-904)))) (|HasCategory| (-864 |#1|) (QUOTE (-148))))) 
-(-866 |p| PADIC) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-865 |#1|) (QUOTE (-905))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-865 |#1|) (QUOTE (-149))) (|HasCategory| (-865 |#1|) (QUOTE (-151))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-865 |#1|) (QUOTE (-1022))) (|HasCategory| (-865 |#1|) (QUOTE (-816))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-865 |#1|) (QUOTE (-1137))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| (-865 |#1|) (QUOTE (-226))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -524) (QUOTE (-1163)) (LIST (QUOTE -865) (|devaluate| |#1|)))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -304) (LIST (QUOTE -865) (|devaluate| |#1|)))) (|HasCategory| (-865 |#1|) (LIST (QUOTE -282) (LIST (QUOTE -865) (|devaluate| |#1|)) (LIST (QUOTE -865) (|devaluate| |#1|)))) (|HasCategory| (-865 |#1|) (QUOTE (-302))) (|HasCategory| (-865 |#1|) (QUOTE (-551))) (|HasCategory| (-865 |#1|) (QUOTE (-843))) (-2232 (|HasCategory| (-865 |#1|) (QUOTE (-816))) (|HasCategory| (-865 |#1|) (QUOTE (-843)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-865 |#1|) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-865 |#1|) (QUOTE (-905)))) (|HasCategory| (-865 |#1|) (QUOTE (-149))))) 
+(-867 |p| PADIC) 
 ((|constructor| (NIL "This is the category of stream-based representations of \\spad{Qp}.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,{}x)} removes up to \\spad{n} leading zeroes from the \\spad{p}-adic rational \\spad{x}.") (($ $) "\\spad{removeZeroes(x)} removes leading zeroes from the representation of the \\spad{p}-adic rational \\spad{x}. A \\spad{p}-adic rational is represented by (1) an exponent and (2) a \\spad{p}-adic integer which may have leading zero digits. When the \\spad{p}-adic integer has a leading zero digit,{} a 'leading zero' is removed from the \\spad{p}-adic rational as follows: the number is rewritten by increasing the exponent by 1 and dividing the \\spad{p}-adic integer by \\spad{p}. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}.")) (|continuedFraction| (((|ContinuedFraction| (|Fraction| (|Integer|))) $) "\\spad{continuedFraction(x)} converts the \\spad{p}-adic rational number \\spad{x} to a continued fraction.")) (|approximate| (((|Fraction| (|Integer|)) $ (|Integer|)) "\\spad{approximate(x,{}n)} returns a rational number \\spad{y} such that \\spad{y = x (mod p^n)}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-904))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-1021))) (|HasCategory| |#2| (QUOTE (-815))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-1136))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-225))) (|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -281) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-301))) (|HasCategory| |#2| (QUOTE (-550))) (|HasCategory| |#2| (QUOTE (-842))) (-2199 (|HasCategory| |#2| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-842)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-904)))) (|HasCategory| |#2| (QUOTE (-148))))) 
-(-867 K |symb| BLMET) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-1022))) (|HasCategory| |#2| (QUOTE (-816))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1137))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-226))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -282) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-302))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-843))) (-2232 (|HasCategory| |#2| (QUOTE (-816))) (|HasCategory| |#2| (QUOTE (-843)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-149))))) 
+(-868 K |symb| BLMET) 
 ((|constructor| (NIL "A package that implements the Brill-Noether algorithm. Part of the PAFF package")) (|ZetaFunction| (((|UnivariateTaylorSeriesCZero| (|Integer|) |t|) (|PositiveInteger|)) "Returns the Zeta function of the curve in constant field extension. Calculated by using the \\spad{L}-Polynomial") (((|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) "Returns the Zeta function of the curve. Calculated by using the \\spad{L}-Polynomial")) (|numberPlacesDegExtDeg| (((|Integer|) (|PositiveInteger|) (|PositiveInteger|)) "numberRatPlacesExtDegExtDeg(\\spad{d},{} \\spad{n}) returns the number of places of degree \\spad{d} in the constant field extension of degree \\spad{n}")) (|numberRatPlacesExtDeg| (((|Integer|) (|PositiveInteger|)) "\\spad{numberRatPlacesExtDeg(n)} returns the number of rational places in the constant field extenstion of degree \\spad{n}")) (|numberOfPlacesOfDegree| (((|Integer|) (|PositiveInteger|)) "returns the number of places of the given degree")) (|placesOfDegree| (((|List| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) (|PositiveInteger|)) "\\spad{placesOfDegree(d)} returns all places of degree \\spad{d} of the curve.")) (|classNumber| (((|Integer|)) "Returns the class number of the curve.")) (|LPolynomial| (((|SparseUnivariatePolynomial| (|Integer|)) (|PositiveInteger|)) "\\spad{LPolynomial(d)} returns the \\spad{L}-Polynomial of the curve in constant field extension of degree \\spad{d}.") (((|SparseUnivariatePolynomial| (|Integer|))) "Returns the \\spad{L}-Polynomial of the curve.")) (|adjunctionDivisor| (((|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|))) "\\spad{adjunctionDivisor computes} the adjunction divisor of the plane curve given by the polynomial defined by setCurve.")) (|intersectionDivisor| (((|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) (|DistributedMultivariatePolynomial| |#2| |#1|)) "\\spad{intersectionDivisor(pol)} compute the intersection divisor of the form \\spad{pol} with the curve. (If \\spad{pol} is not homogeneous an error message is issued).")) (|evalIfCan| (((|Union| |#1| "failed") (|Fraction| (|DistributedMultivariatePolynomial| |#2| |#1|)) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{evalIfCan(u,{}pl)} evaluate the function \\spad{u} at the place \\spad{pl} (returns \"failed\" if it is a pole).") (((|Union| |#1| "failed") (|DistributedMultivariatePolynomial| |#2| |#1|) (|DistributedMultivariatePolynomial| |#2| |#1|) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{evalIfCan(f,{}g,{}pl)} evaluate the function \\spad{f/g} at the place \\spad{pl} (returns \"failed\" if it is a pole).") (((|Union| |#1| "failed") (|DistributedMultivariatePolynomial| |#2| |#1|) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{evalIfCan(f,{}pl)} evaluate \\spad{f} at the place \\spad{pl} (returns \"failed\" if it is a pole).")) (|eval| ((|#1| (|Fraction| (|DistributedMultivariatePolynomial| |#2| |#1|)) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{eval(u,{}pl)} evaluate the function \\spad{u} at the place \\spad{pl}.") ((|#1| (|DistributedMultivariatePolynomial| |#2| |#1|) (|DistributedMultivariatePolynomial| |#2| |#1|) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{eval(f,{}g,{}pl)} evaluate the function \\spad{f/g} at the place \\spad{pl}.") ((|#1| (|DistributedMultivariatePolynomial| |#2| |#1|) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{eval(f,{}pl)} evaluate \\spad{f} at the place \\spad{pl}.")) (|interpolateForms| (((|List| (|DistributedMultivariatePolynomial| |#2| |#1|)) (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) (|NonNegativeInteger|)) "\\spad{interpolateForms(d,{}n)} returns a basis of the interpolate forms of degree \\spad{n} of the divisor \\spad{d}.")) (|lBasis| (((|Record| (|:| |num| (|List| (|DistributedMultivariatePolynomial| |#2| |#1|))) (|:| |den| (|DistributedMultivariatePolynomial| |#2| |#1|))) (|Divisor| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|))) "\\spad{lBasis computes} a basis associated to the specified divisor")) (|parametrize| (((|NeitherSparseOrDensePowerSeries| (|PseudoAlgebraicClosureOfFiniteField| |#1|)) (|DistributedMultivariatePolynomial| |#2| |#1|) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{parametrize(f,{}pl)} returns a local parametrization of \\spad{f} at the place \\spad{pl}.")) (|singularPoints| (((|List| (|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |#1|))) "rationalPoints() returns the singular points of the curve defined by the polynomial given to the package. If the singular points lie in an extension of the specified ground field an error message is issued specifying the extension degree needed to find all singular points.")) (|desingTree| (((|List| (|DesingTree| (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |#1| |#2| |#3|)))) "\\spad{desingTree returns} the desingularisation trees at all singular points of the curve defined by the polynomial given to the package.")) (|desingTreeWoFullParam| (((|List| (|DesingTree| (|InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |#1| |#2| |#3|)))) "\\spad{desingTreeWoFullParam returns} the desingularisation trees at all singular points of the curve defined by the polynomial given to the package. The local parametrizations are not computed.")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus returns} the genus of the curve defined by the polynomial given to the package.")) (|theCurve| (((|DistributedMultivariatePolynomial| |#2| |#1|)) "\\spad{theCurve returns} the specified polynomial for the package.")) (|rationalPlaces| (((|List| (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|))) "\\spad{rationalPlaces returns} all the rational places of the curve defined by the polynomial given to the package.")) (|pointDominateBy| (((|ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |#1|) (|PlacesOverPseudoAlgebraicClosureOfFiniteField| |#1|)) "\\spad{pointDominateBy(pl)} returns the projective point dominated by the place \\spad{pl}."))) 
 NIL 
-((|HasCategory| (-857 |#1|) (QUOTE (-370)))) 
-(-868 K |symb| BLMET) 
+((|HasCategory| (-858 |#1|) (QUOTE (-371)))) 
+(-869 K |symb| BLMET) 
 ((|constructor| (NIL "A package that implements the Brill-Noether algorithm. Part of the PAFF package")) (|ZetaFunction| (((|UnivariateTaylorSeriesCZero| (|Integer|) |t|) (|PositiveInteger|)) "Returns the Zeta function of the curve in constant field extension. Calculated by using the \\spad{L}-Polynomial") (((|UnivariateTaylorSeriesCZero| (|Integer|) |t|)) "Returns the Zeta function of the curve. Calculated by using the \\spad{L}-Polynomial")) (|numberPlacesDegExtDeg| (((|Integer|) (|PositiveInteger|) (|PositiveInteger|)) "numberRatPlacesExtDegExtDeg(\\spad{d},{} \\spad{n}) returns the number of places of degree \\spad{d} in the constant field extension of degree \\spad{n}")) (|numberRatPlacesExtDeg| (((|Integer|) (|PositiveInteger|)) "\\spad{numberRatPlacesExtDeg(n)} returns the number of rational places in the constant field extenstion of degree \\spad{n}")) (|numberOfPlacesOfDegree| (((|Integer|) (|PositiveInteger|)) "returns the number of places of the given degree")) (|placesOfDegree| (((|List| (|Places| |#1|)) (|PositiveInteger|)) "\\spad{placesOfDegree(d)} returns all places of degree \\spad{d} of the curve.")) (|classNumber| (((|Integer|)) "Returns the class number of the curve.")) (|LPolynomial| (((|SparseUnivariatePolynomial| (|Integer|)) (|PositiveInteger|)) "\\spad{LPolynomial(d)} returns the \\spad{L}-Polynomial of the curve in constant field extension of degree \\spad{d}.") (((|SparseUnivariatePolynomial| (|Integer|))) "Returns the \\spad{L}-Polynomial of the curve.")) (|adjunctionDivisor| (((|Divisor| (|Places| |#1|))) "\\spad{adjunctionDivisor computes} the adjunction divisor of the plane curve given by the polynomial set with the function setCurve.")) (|intersectionDivisor| (((|Divisor| (|Places| |#1|)) (|DistributedMultivariatePolynomial| |#2| |#1|)) "\\spad{intersectionDivisor(pol)} compute the intersection divisor (the Cartier divisor) of the form \\spad{pol} with the curve. If some intersection points lie in an extension of the ground field,{} an error message is issued specifying the extension degree needed to find all the intersection points. (If \\spad{pol} is not homogeneous an error message is issued).")) (|evalIfCan| (((|Union| |#1| "failed") (|Fraction| (|DistributedMultivariatePolynomial| |#2| |#1|)) (|Places| |#1|)) "\\spad{evalIfCan(u,{}pl)} evaluate the function \\spad{u} at the place \\spad{pl} (returns \"failed\" if it is a pole).") (((|Union| |#1| "failed") (|DistributedMultivariatePolynomial| |#2| |#1|) (|DistributedMultivariatePolynomial| |#2| |#1|) (|Places| |#1|)) "\\spad{evalIfCan(f,{}g,{}pl)} evaluate the function \\spad{f/g} at the place \\spad{pl} (returns \"failed\" if it is a pole).") (((|Union| |#1| "failed") (|DistributedMultivariatePolynomial| |#2| |#1|) (|Places| |#1|)) "\\spad{evalIfCan(f,{}pl)} evaluate \\spad{f} at the place \\spad{pl} (returns \"failed\" if it is a pole).")) (|eval| ((|#1| (|Fraction| (|DistributedMultivariatePolynomial| |#2| |#1|)) (|Places| |#1|)) "\\spad{eval(u,{}pl)} evaluate the function \\spad{u} at the place \\spad{pl}.") ((|#1| (|DistributedMultivariatePolynomial| |#2| |#1|) (|DistributedMultivariatePolynomial| |#2| |#1|) (|Places| |#1|)) "\\spad{eval(f,{}g,{}pl)} evaluate the function \\spad{f/g} at the place \\spad{pl}.") ((|#1| (|DistributedMultivariatePolynomial| |#2| |#1|) (|Places| |#1|)) "\\spad{eval(f,{}pl)} evaluate \\spad{f} at the place \\spad{pl}.")) (|interpolateForms| (((|List| (|DistributedMultivariatePolynomial| |#2| |#1|)) (|Divisor| (|Places| |#1|)) (|NonNegativeInteger|)) "\\spad{interpolateForms(d,{}n)} returns a basis of the interpolate forms of degree \\spad{n} of the divisor \\spad{d}.")) (|lBasis| (((|Record| (|:| |num| (|List| (|DistributedMultivariatePolynomial| |#2| |#1|))) (|:| |den| (|DistributedMultivariatePolynomial| |#2| |#1|))) (|Divisor| (|Places| |#1|))) "\\spad{lBasis computes} a basis associated to the specified divisor")) (|parametrize| (((|NeitherSparseOrDensePowerSeries| |#1|) (|DistributedMultivariatePolynomial| |#2| |#1|) (|Places| |#1|)) "\\spad{parametrize(f,{}pl)} returns a local parametrization of \\spad{f} at the place \\spad{pl}.")) (|singularPoints| (((|List| (|ProjectivePlane| |#1|))) "rationalPoints() returns the singular points of the curve defined by the polynomial given to the package. If the singular points lie in an extension of the specified ground field an error message is issued specifying the extension degree needed to find all singular points.")) (|desingTree| (((|List| (|DesingTree| (|InfClsPt| |#1| |#2| |#3|)))) "\\spad{desingTree returns} the desingularisation trees at all singular points of the curve defined by the polynomial given to the package.")) (|desingTreeWoFullParam| (((|List| (|DesingTree| (|InfClsPt| |#1| |#2| |#3|)))) "\\spad{desingTreeWoFullParam returns} the desingularisation trees at all singular points of the curve defined by the polynomial given to the package. The local parametrizations are not computed.")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus returns} the genus of the curve defined by the polynomial given to the package.")) (|theCurve| (((|DistributedMultivariatePolynomial| |#2| |#1|)) "\\spad{theCurve returns} the specified polynomial for the package.")) (|rationalPlaces| (((|List| (|Places| |#1|))) "\\spad{rationalPlaces returns} all the rational places of the curve defined by the polynomial given to the package.")) (|pointDominateBy| (((|ProjectivePlane| |#1|) (|Places| |#1|)) "\\spad{pointDominateBy(pl)} returns the projective point dominated by the place \\spad{pl}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-370)))) 
-(-869) 
+((|HasCategory| |#1| (QUOTE (-371)))) 
+(-870) 
 ((|constructor| (NIL "This domain describes four groups of color shades (palettes).")) (|coerce| (($ (|Color|)) "\\spad{coerce(c)} sets the average shade for the palette to that of the indicated color \\spad{c}.")) (|shade| (((|Integer|) $) "\\spad{shade(p)} returns the shade index of the indicated palette \\spad{p}.")) (|hue| (((|Color|) $) "\\spad{hue(p)} returns the hue field of the indicated palette \\spad{p}.")) (|light| (($ (|Color|)) "\\spad{light(c)} sets the shade of a hue,{} \\spad{c},{} to it\\spad{'s} highest value.")) (|pastel| (($ (|Color|)) "\\spad{pastel(c)} sets the shade of a hue,{} \\spad{c},{} above bright,{} but below light.")) (|bright| (($ (|Color|)) "\\spad{bright(c)} sets the shade of a hue,{} \\spad{c},{} above dim,{} but below pastel.")) (|dim| (($ (|Color|)) "\\spad{dim(c)} sets the shade of a hue,{} \\spad{c},{} above dark,{} but below bright.")) (|dark| (($ (|Color|)) "\\spad{dark(c)} sets the shade of the indicated hue of \\spad{c} to it\\spad{'s} lowest value."))) 
 NIL 
 NIL 
-(-870) 
+(-871) 
 ((|constructor| (NIL "This package provides a coerce from polynomials over algebraic numbers to \\spadtype{Expression AlgebraicNumber}.")) (|coerce| (((|Expression| (|Integer|)) (|Fraction| (|Polynomial| (|AlgebraicNumber|)))) "\\spad{coerce(rf)} converts \\spad{rf},{} a fraction of polynomial \\spad{p} with algebraic number coefficients to \\spadtype{Expression Integer}.") (((|Expression| (|Integer|)) (|Polynomial| (|AlgebraicNumber|))) "\\spad{coerce(p)} converts the polynomial \\spad{p} with algebraic number coefficients to \\spadtype{Expression Integer}."))) 
 NIL 
 NIL 
-(-871 K |symb| |PolyRing| E |ProjPt| PCS |Plc|) 
+(-872 K |symb| |PolyRing| E |ProjPt| PCS |Plc|) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|parametrize| ((|#6| |#3| |#7| (|Integer|)) "\\spad{parametrize(f,{}pl,{}n)} returns t**n * parametrize(\\spad{f},{}\\spad{p}).") ((|#6| |#3| |#3| |#7|) "\\spad{parametrize(f,{}g,{}pl)} returns the local parametrization of the rational function \\spad{f/g} at the place \\spad{pl}. Note that local parametrization of the place must have first been compute and set. For simple point on a curve,{} this done with \\spad{pointToPlace}. The local parametrization places corresponding to a leaf in a desingularization tree are compute at the moment of their \"creation\". (See package \\spad{DesingTreePackage}.") ((|#6| |#3| |#7|) "\\spad{parametrize(f,{}pl)} returns the local parametrization of the polynomial function \\spad{f} at the place \\spad{pl}. Note that local parametrization of the place must have first been compute and set. For simple point on a curve,{} this done with \\spad{pointToPlace}. The local parametrization places corresponding to a leaf in a desingularization tree are compute at the moment of their \"creation\". (See package \\spad{DesingTreePackage}."))) 
 NIL 
 NIL 
-(-872 CF1 CF2) 
+(-873 CF1 CF2) 
 ((|constructor| (NIL "This package has no description")) (|map| (((|ParametricPlaneCurve| |#2|) (|Mapping| |#2| |#1|) (|ParametricPlaneCurve| |#1|)) "\\spad{map(f,{}x)} \\undocumented"))) 
 NIL 
 NIL 
-(-873 |ComponentFunction|) 
+(-874 |ComponentFunction|) 
 ((|constructor| (NIL "ParametricPlaneCurve is used for plotting parametric plane curves in the affine plane.")) (|coordinate| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coordinate(c,{}i)} returns a coordinate function for \\spad{c} using 1-based indexing according to \\spad{i}. This indicates what the function for the coordinate component \\spad{i} of the plane curve is.")) (|curve| (($ |#1| |#1|) "\\spad{curve(c1,{}c2)} creates a plane curve from 2 component functions \\spad{c1} and \\spad{c2}."))) 
 NIL 
 NIL 
-(-874 CF1 CF2) 
+(-875 CF1 CF2) 
 ((|constructor| (NIL "This package has no description")) (|map| (((|ParametricSpaceCurve| |#2|) (|Mapping| |#2| |#1|) (|ParametricSpaceCurve| |#1|)) "\\spad{map(f,{}x)} \\undocumented"))) 
 NIL 
 NIL 
-(-875 |ComponentFunction|) 
+(-876 |ComponentFunction|) 
 ((|constructor| (NIL "ParametricSpaceCurve is used for plotting parametric space curves in affine 3-space.")) (|coordinate| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coordinate(c,{}i)} returns a coordinate function of \\spad{c} using 1-based indexing according to \\spad{i}. This indicates what the function for the coordinate component,{} \\spad{i},{} of the space curve is.")) (|curve| (($ |#1| |#1| |#1|) "\\spad{curve(c1,{}c2,{}c3)} creates a space curve from 3 component functions \\spad{c1},{} \\spad{c2},{} and \\spad{c3}."))) 
 NIL 
 NIL 
-(-876 CF1 CF2) 
+(-877 CF1 CF2) 
 ((|constructor| (NIL "This package has no description")) (|map| (((|ParametricSurface| |#2|) (|Mapping| |#2| |#1|) (|ParametricSurface| |#1|)) "\\spad{map(f,{}x)} \\undocumented"))) 
 NIL 
 NIL 
-(-877 |ComponentFunction|) 
+(-878 |ComponentFunction|) 
 ((|constructor| (NIL "ParametricSurface is used for plotting parametric surfaces in affine 3-space.")) (|coordinate| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coordinate(s,{}i)} returns a coordinate function of \\spad{s} using 1-based indexing according to \\spad{i}. This indicates what the function for the coordinate component,{} \\spad{i},{} of the surface is.")) (|surface| (($ |#1| |#1| |#1|) "\\spad{surface(c1,{}c2,{}c3)} creates a surface from 3 parametric component functions \\spad{c1},{} \\spad{c2},{} and \\spad{c3}."))) 
 NIL 
 NIL 
-(-878) 
+(-879) 
 ((|constructor| (NIL "PartitionsAndPermutations contains functions for generating streams of integer partitions,{} and streams of sequences of integers composed from a multi-set.")) (|permutations| (((|Stream| (|List| (|Integer|))) (|Integer|)) "\\spad{permutations(n)} is the stream of permutations \\indented{1}{formed from \\spad{1,{}2,{}3,{}...,{}n}.}")) (|sequences| (((|Stream| (|List| (|Integer|))) (|List| (|Integer|))) "\\spad{sequences([l0,{}l1,{}l2,{}..,{}ln])} is the set of \\indented{1}{all sequences formed from} \\spad{l0} 0\\spad{'s},{}\\spad{l1} 1\\spad{'s},{}\\spad{l2} 2\\spad{'s},{}...,{}\\spad{ln} \\spad{n}\\spad{'s}.") (((|Stream| (|List| (|Integer|))) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{sequences(l1,{}l2)} is the stream of all sequences that \\indented{1}{can be composed from the multiset defined from} \\indented{1}{two lists of integers \\spad{l1} and \\spad{l2}.} \\indented{1}{For example,{}the pair \\spad{([1,{}2,{}4],{}[2,{}3,{}5])} represents} \\indented{1}{multi-set with 1 \\spad{2},{} 2 \\spad{3}\\spad{'s},{} and 4 \\spad{5}\\spad{'s}.}")) (|shufflein| (((|Stream| (|List| (|Integer|))) (|List| (|Integer|)) (|Stream| (|List| (|Integer|)))) "\\spad{shufflein(l,{}st)} maps shuffle(\\spad{l},{}\\spad{u}) on to all \\indented{1}{members \\spad{u} of \\spad{st},{} concatenating the results.}")) (|shuffle| (((|Stream| (|List| (|Integer|))) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{shuffle(l1,{}l2)} forms the stream of all shuffles of \\spad{l1} \\indented{1}{and \\spad{l2},{} \\spadignore{i.e.} all sequences that can be formed from} \\indented{1}{merging \\spad{l1} and \\spad{l2}.}")) (|conjugates| (((|Stream| (|List| (|Integer|))) (|Stream| (|List| (|Integer|)))) "\\spad{conjugates(lp)} is the stream of conjugates of a stream \\indented{1}{of partitions \\spad{lp}.}")) (|conjugate| (((|List| (|Integer|)) (|List| (|Integer|))) "\\spad{conjugate(pt)} is the conjugate of the partition \\spad{pt}.")) (|partitions| (((|Stream| (|List| (|Integer|))) (|Integer|) (|Integer|)) "\\spad{partitions(p,{}l)} is the stream of all \\indented{1}{partitions whose number of} \\indented{1}{parts and largest part are no greater than \\spad{p} and \\spad{l}.}") (((|Stream| (|List| (|Integer|))) (|Integer|)) "\\spad{partitions(n)} is the stream of all partitions of \\spad{n}.") (((|Stream| (|List| (|Integer|))) (|Integer|) (|Integer|) (|Integer|)) "\\spad{partitions(p,{}l,{}n)} is the stream of partitions \\indented{1}{of \\spad{n} whose number of parts is no greater than \\spad{p}} \\indented{1}{and whose largest part is no greater than \\spad{l}.}"))) 
 NIL 
 NIL 
-(-879 R) 
+(-880 R) 
 ((|constructor| (NIL "An object \\spad{S} is Patternable over an object \\spad{R} if \\spad{S} can lift the conversions from \\spad{R} into \\spadtype{Pattern(Integer)} and \\spadtype{Pattern(Float)} to itself."))) 
 NIL 
 NIL 
-(-880 R S L) 
+(-881 R S L) 
 ((|constructor| (NIL "A PatternMatchListResult is an object internally returned by the pattern matcher when matching on lists. It is either a failed match,{} or a pair of PatternMatchResult,{} one for atoms (elements of the list),{} and one for lists.")) (|lists| (((|PatternMatchResult| |#1| |#3|) $) "\\spad{lists(r)} returns the list of matches that match lists.")) (|atoms| (((|PatternMatchResult| |#1| |#2|) $) "\\spad{atoms(r)} returns the list of matches that match atoms (elements of the lists).")) (|makeResult| (($ (|PatternMatchResult| |#1| |#2|) (|PatternMatchResult| |#1| |#3|)) "\\spad{makeResult(r1,{}r2)} makes the combined result [\\spad{r1},{}\\spad{r2}].")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) 
 NIL 
 NIL 
-(-881 S) 
+(-882 S) 
 ((|constructor| (NIL "A set \\spad{R} is PatternMatchable over \\spad{S} if elements of \\spad{R} can be matched to patterns over \\spad{S}.")) (|patternMatch| (((|PatternMatchResult| |#1| $) $ (|Pattern| |#1|) (|PatternMatchResult| |#1| $)) "\\spad{patternMatch(expr,{} pat,{} res)} matches the pattern \\spad{pat} to the expression \\spad{expr}. res contains the variables of \\spad{pat} which are already matched and their matches (necessary for recursion). Initially,{} res is just the result of \\spadfun{new} which is an empty list of matches."))) 
 NIL 
 NIL 
-(-882 |Base| |Subject| |Pat|) 
+(-883 |Base| |Subject| |Pat|) 
 ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,{}...,{}en],{} pat)} matches the pattern pat on the list of expressions \\spad{[e1,{}...,{}en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,{}...,{}en],{} pat)} tests if the list of expressions \\spad{[e1,{}...,{}en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr,{} pat)} tests if the expression \\spad{expr} matches the pattern pat."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161)))) (-12 (-3046 (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161))))) (-3046 (|HasCategory| |#2| (QUOTE (-1047))))) (-12 (|HasCategory| |#2| (QUOTE (-1047))) (-3046 (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161))))))) 
-(-883 R A B) 
+((|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163)))) (-12 (-3864 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163))))) (-3864 (|HasCategory| |#2| (QUOTE (-1048))))) (-12 (|HasCategory| |#2| (QUOTE (-1048))) (-3864 (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163))))))) 
+(-884 R A B) 
 ((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f,{} [(v1,{}a1),{}...,{}(vn,{}an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(\\spad{a1})),{}...,{}(\\spad{vn},{}\\spad{f}(an))]."))) 
 NIL 
 NIL 
-(-884 R S) 
+(-885 R S) 
 ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r,{} p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,{}e1],{}...,{}[vn,{}en])} returns the match result containing the matches (\\spad{v1},{}\\spad{e1}),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var,{} expr,{} r,{} val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var,{} r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a,{} b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) 
 NIL 
 NIL 
-(-885 R -3192) 
+(-886 R -3022) 
 ((|constructor| (NIL "Utilities for handling patterns")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p,{} v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,{}...,{}vn],{} p)} returns \\spad{f(v1,{}...,{}vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v,{} p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p,{} [a1,{}...,{}an],{} f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,{}...,{}an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p,{} [f1,{}...,{}fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p,{} f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) 
 NIL 
 NIL 
-(-886 R S) 
+(-887 R S) 
 ((|constructor| (NIL "Lifts maps to patterns")) (|map| (((|Pattern| |#2|) (|Mapping| |#2| |#1|) (|Pattern| |#1|)) "\\spad{map(f,{} p)} applies \\spad{f} to all the leaves of \\spad{p} and returns the result as a pattern over \\spad{S}."))) 
 NIL 
 NIL 
-(-887 R) 
+(-888 R) 
 ((|constructor| (NIL "Patterns for use by the pattern matcher.")) (|optpair| (((|Union| (|List| $) "failed") (|List| $)) "\\spad{optpair(l)} returns \\spad{l} has the form \\spad{[a,{} b]} and a is optional,{} and \"failed\" otherwise.")) (|variables| (((|List| $) $) "\\spad{variables(p)} returns the list of matching variables appearing in \\spad{p}.")) (|getBadValues| (((|List| (|Any|)) $) "\\spad{getBadValues(p)} returns the list of \"bad values\" for \\spad{p}. Note: \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (($ $ (|Any|)) "\\spad{addBadValue(p,{} v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}. Note: \\spad{p} is not allowed to match any of its \"bad values\".")) (|resetBadValues| (($ $) "\\spad{resetBadValues(p)} initializes the list of \"bad values\" for \\spad{p} to \\spad{[]}. Note: \\spad{p} is not allowed to match any of its \"bad values\".")) (|hasTopPredicate?| (((|Boolean|) $) "\\spad{hasTopPredicate?(p)} tests if \\spad{p} has a top-level predicate.")) (|topPredicate| (((|Record| (|:| |var| (|List| (|Symbol|))) (|:| |pred| (|Any|))) $) "\\spad{topPredicate(x)} returns \\spad{[[a1,{}...,{}an],{} f]} where the top-level predicate of \\spad{x} is \\spad{f(a1,{}...,{}an)}. Note: \\spad{n} is 0 if \\spad{x} has no top-level predicate.")) (|setTopPredicate| (($ $ (|List| (|Symbol|)) (|Any|)) "\\spad{setTopPredicate(x,{} [a1,{}...,{}an],{} f)} returns \\spad{x} with the top-level predicate set to \\spad{f(a1,{}...,{}an)}.")) (|patternVariable| (($ (|Symbol|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\spad{patternVariable(x,{} c?,{} o?,{} m?)} creates a pattern variable \\spad{x},{} which is constant if \\spad{c? = true},{} optional if \\spad{o? = true},{} and multiple if \\spad{m? = true}.")) (|withPredicates| (($ $ (|List| (|Any|))) "\\spad{withPredicates(p,{} [p1,{}...,{}pn])} makes a copy of \\spad{p} and attaches the predicate \\spad{p1} and ... and \\spad{pn} to the copy,{} which is returned.")) (|setPredicates| (($ $ (|List| (|Any|))) "\\spad{setPredicates(p,{} [p1,{}...,{}pn])} attaches the predicate \\spad{p1} and ... and \\spad{pn} to \\spad{p}.")) (|predicates| (((|List| (|Any|)) $) "\\spad{predicates(p)} returns \\spad{[p1,{}...,{}pn]} such that the predicate attached to \\spad{p} is \\spad{p1} and ... and \\spad{pn}.")) (|hasPredicate?| (((|Boolean|) $) "\\spad{hasPredicate?(p)} tests if \\spad{p} has predicates attached to it.")) (|optional?| (((|Boolean|) $) "\\spad{optional?(p)} tests if \\spad{p} is a single matching variable which can match an identity.")) (|multiple?| (((|Boolean|) $) "\\spad{multiple?(p)} tests if \\spad{p} is a single matching variable allowing list matching or multiple term matching in a sum or product.")) (|generic?| (((|Boolean|) $) "\\spad{generic?(p)} tests if \\spad{p} is a single matching variable.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(p)} tests if \\spad{p} contains no matching variables.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(p)} tests if \\spad{p} is a symbol.")) (|quoted?| (((|Boolean|) $) "\\spad{quoted?(p)} tests if \\spad{p} is of the form \\spad{'s} for a symbol \\spad{s}.")) (|inR?| (((|Boolean|) $) "\\spad{inR?(p)} tests if \\spad{p} is an atom (\\spadignore{i.e.} an element of \\spad{R}).")) (|copy| (($ $) "\\spad{copy(p)} returns a recursive copy of \\spad{p}.")) (|convert| (($ (|List| $)) "\\spad{convert([a1,{}...,{}an])} returns the pattern \\spad{[a1,{}...,{}an]}.")) (|depth| (((|NonNegativeInteger|) $) "\\spad{depth(p)} returns the nesting level of \\spad{p}.")) (/ (($ $ $) "\\spad{a / b} returns the pattern \\spad{a / b}.")) (** (($ $ $) "\\spad{a ** b} returns the pattern \\spad{a ** b}.") (($ $ (|NonNegativeInteger|)) "\\spad{a ** n} returns the pattern \\spad{a ** n}.")) (* (($ $ $) "\\spad{a * b} returns the pattern \\spad{a * b}.")) (+ (($ $ $) "\\spad{a + b} returns the pattern \\spad{a + b}.")) (|elt| (($ (|BasicOperator|) (|List| $)) "\\spad{elt(op,{} [a1,{}...,{}an])} returns \\spad{op(a1,{}...,{}an)}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| $)) "failed") $) "\\spad{isPower(p)} returns \\spad{[a,{} b]} if \\spad{p = a ** b},{} and \"failed\" otherwise.")) (|isList| (((|Union| (|List| $) "failed") $) "\\spad{isList(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = [a1,{}...,{}an]},{} \"failed\" otherwise.")) (|isQuotient| (((|Union| (|Record| (|:| |num| $) (|:| |den| $)) "failed") $) "\\spad{isQuotient(p)} returns \\spad{[a,{} b]} if \\spad{p = a / b},{} and \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[q,{} n]} if \\spad{n > 0} and \\spad{p = q ** n},{} and \"failed\" otherwise.")) (|isOp| (((|Union| (|Record| (|:| |op| (|BasicOperator|)) (|:| |arg| (|List| $))) "failed") $) "\\spad{isOp(p)} returns \\spad{[op,{} [a1,{}...,{}an]]} if \\spad{p = op(a1,{}...,{}an)},{} and \"failed\" otherwise.") (((|Union| (|List| $) "failed") $ (|BasicOperator|)) "\\spad{isOp(p,{} op)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = op(a1,{}...,{}an)},{} and \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{n > 1} and \\spad{p = a1 * ... * an},{} and \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{n > 1} \\indented{1}{and \\spad{p = a1 + ... + an},{}} and \"failed\" otherwise.")) ((|One|) (($) "1")) ((|Zero|) (($) "0"))) 
 NIL 
 NIL 
-(-888 |VarSet|) 
+(-889 |VarSet|) 
 ((|constructor| (NIL "This domain provides the internal representation of polynomials in non-commutative variables written over the Poincare-Birkhoff-Witt basis. See the \\spadtype{XPBWPolynomial} domain constructor. See Free Lie Algebras by \\spad{C}. Reutenauer (Oxford science publications).")) (|varList| (((|List| |#1|) $) "\\spad{varList([l1]*[l2]*...[ln])} returns the list of variables in the word \\spad{l1*l2*...*ln}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?([l1]*[l2]*...[ln])} returns \\spad{true} iff \\spad{n} equals \\spad{1}.")) (|rest| (($ $) "\\spad{rest([l1]*[l2]*...[ln])} returns the list \\spad{l2,{} .... ln}.")) (|listOfTerms| (((|List| (|LyndonWord| |#1|)) $) "\\spad{listOfTerms([l1]*[l2]*...[ln])} returns the list of words \\spad{l1,{} l2,{} .... ln}.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length([l1]*[l2]*...[ln])} returns the length of the word \\spad{l1*l2*...*ln}.")) (|first| (((|LyndonWord| |#1|) $) "\\spad{first([l1]*[l2]*...[ln])} returns the Lyndon word \\spad{l1}.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} return \\spad{v}") (((|OrderedFreeMonoid| |#1|) $) "\\spad{coerce([l1]*[l2]*...[ln])} returns the word \\spad{l1*l2*...*ln},{} where \\spad{[l_i]} is the backeted form of the Lyndon word \\spad{l_i}.")) ((|One|) (($) "\\spad{1} returns the empty list."))) 
 NIL 
 NIL 
-(-889 UP R) 
+(-890 UP R) 
 ((|constructor| (NIL "Polynomial composition and decomposition functions\\spad{\\br} If \\spad{f} = \\spad{g} \\spad{o} \\spad{h} then g=leftFactor(\\spad{f},{}\\spad{h}) and h=rightFactor(\\spad{f},{}\\spad{g})")) (|compose| ((|#1| |#1| |#1|) "\\spad{compose(p,{}q)} \\undocumented"))) 
 NIL 
 NIL 
-(-890) 
+(-891) 
 ((|constructor| (NIL "\\axiomType{PartialDifferentialEquationsSolverCategory} is the \\axiom{category} for describing the set of PDE solver \\axiom{domains} with \\axiomFun{measure} and \\axiomFun{PDEsolve}.")) (|PDESolve| (((|Result|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{PDESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-891 UP -1478) 
+(-892 UP -1564) 
 ((|constructor| (NIL "Polynomial composition and decomposition functions\\spad{\\br} If \\spad{f} = \\spad{g} \\spad{o} \\spad{h} then g=leftFactor(\\spad{f},{}\\spad{h}) and h=rightFactor(\\spad{f},{}\\spad{g})")) (|rightFactorCandidate| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{rightFactorCandidate(p,{}n)} \\undocumented")) (|leftFactor| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftFactor(p,{}q)} \\undocumented")) (|decompose| (((|Union| (|Record| (|:| |left| |#1|) (|:| |right| |#1|)) "failed") |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{decompose(up,{}m,{}n)} \\undocumented") (((|List| |#1|) |#1|) "\\spad{decompose(up)} \\undocumented"))) 
 NIL 
 NIL 
-(-892) 
+(-893) 
 ((|constructor| (NIL "AnnaPartialDifferentialEquationPackage is an uncompleted package for the interface to NAG PDE routines. It has been realised that a new approach to solving PDEs will need to be created.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalPDEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,{}R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical PDE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{PartialDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of PDEs by checking various attributes of the system of PDEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalPDEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical PDE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{PartialDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of PDEs by checking various attributes of the system of PDEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Float|) (|Float|) (|Float|) (|Float|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|List| (|Expression| (|Float|))) (|List| (|List| (|Expression| (|Float|)))) (|String|)) "\\spad{solve(xmin,{}ymin,{}xmax,{}ymax,{}ngx,{}ngy,{}pde,{}bounds,{}st)} is a top level ANNA function to solve numerically a system of partial differential equations. This is defined as a list of coefficients (\\axiom{\\spad{pde}}),{} a grid (\\axiom{\\spad{xmin}},{} \\axiom{\\spad{ymin}},{} \\axiom{\\spad{xmax}},{} \\axiom{\\spad{ymax}},{} \\axiom{\\spad{ngx}},{} \\axiom{\\spad{ngy}}) and the boundary values (\\axiom{\\spad{bounds}}). A default value for tolerance is used. There is also a parameter (\\axiom{\\spad{st}}) which should contain the value \"elliptic\" if the PDE is known to be elliptic,{} or \"unknown\" if it is uncertain. This causes the routine to check whether the PDE is elliptic. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of PDE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine. \\blankline \\spad{**} At the moment,{} only Second Order Elliptic Partial Differential Equations are solved \\spad{**}") (((|Result|) (|Float|) (|Float|) (|Float|) (|Float|) (|NonNegativeInteger|) (|NonNegativeInteger|) (|List| (|Expression| (|Float|))) (|List| (|List| (|Expression| (|Float|)))) (|String|) (|DoubleFloat|)) "\\spad{solve(xmin,{}ymin,{}xmax,{}ymax,{}ngx,{}ngy,{}pde,{}bounds,{}st,{}tol)} is a top level ANNA function to solve numerically a system of partial differential equations. This is defined as a list of coefficients (\\axiom{\\spad{pde}}),{} a grid (\\axiom{\\spad{xmin}},{} \\axiom{\\spad{ymin}},{} \\axiom{\\spad{xmax}},{} \\axiom{\\spad{ymax}},{} \\axiom{\\spad{ngx}},{} \\axiom{\\spad{ngy}}),{} the boundary values (\\axiom{\\spad{bounds}}) and a tolerance requirement (\\axiom{\\spad{tol}}). There is also a parameter (\\axiom{\\spad{st}}) which should contain the value \"elliptic\" if the PDE is known to be elliptic,{} or \"unknown\" if it is uncertain. This causes the routine to check whether the PDE is elliptic. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of PDE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine. \\blankline \\spad{**} At the moment,{} only Second Order Elliptic Partial Differential Equations are solved \\spad{**}") (((|Result|) (|NumericalPDEProblem|) (|RoutinesTable|)) "\\spad{solve(PDEProblem,{}routines)} is a top level ANNA function to solve numerically a system of partial differential equations. \\blankline The method used to perform the numerical process will be one of the \\spad{routines} contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of PDE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine. \\blankline \\spad{**} At the moment,{} only Second Order Elliptic Partial Differential Equations are solved \\spad{**}") (((|Result|) (|NumericalPDEProblem|)) "\\spad{solve(PDEProblem)} is a top level ANNA function to solve numerically a system of partial differential equations. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of PDE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine. \\blankline \\spad{**} At the moment,{} only Second Order Elliptic Partial Differential Equations are solved \\spad{**}"))) 
 NIL 
 NIL 
-(-893) 
+(-894) 
 ((|constructor| (NIL "\\axiomType{NumericalPDEProblem} is a \\axiom{domain} for the representation of Numerical PDE problems for use by ANNA. \\blankline The representation is of type: \\blankline \\axiomType{Record}(pde:\\axiomType{List Expression DoubleFloat},{} \\spad{\\br} constraints:\\axiomType{List PDEC},{} \\spad{\\br} \\spad{f:}\\axiomType{List List Expression DoubleFloat},{}\\spad{\\br} \\spad{st:}\\axiomType{String},{}\\spad{\\br} tol:\\axiomType{DoubleFloat}) \\blankline where \\axiomType{PDEC} is of type: \\blankline \\axiomType{Record}(start:\\axiomType{DoubleFloat},{} \\spad{\\br} finish:\\axiomType{DoubleFloat},{}\\spad{\\br} grid:\\axiomType{NonNegativeInteger},{}\\spad{\\br} boundaryType:\\axiomType{Integer},{}\\spad{\\br} dStart:\\axiomType{Matrix DoubleFloat},{} \\spad{\\br} dFinish:\\axiomType{Matrix DoubleFloat})")) (|retract| (((|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|))) $) "\\spad{retract(x)} is not documented")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(x)} is not documented") (($ (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{coerce(x)} is not documented"))) 
 NIL 
 NIL 
-(-894 A S) 
+(-895 A S) 
 ((|constructor| (NIL "A partial differential ring with differentiations indexed by a parameter type \\spad{S}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{differentiate(x+y,{}e)=differentiate(x,{}e)+differentiate(y,{}e)}\\spad{\\br} \\tab{5}\\spad{differentiate(x*y,{}e)=x*differentiate(y,{}e)+differentiate(x,{}e)*y}")) (D (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{D(x,{} [s1,{}...,{}sn],{} [n1,{}...,{}nn])} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{D(...D(x,{} s1,{} n1)...,{} sn,{} nn)}.") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{D(x,{} s,{} n)} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{n}-th derivative of \\spad{x} with respect to \\spad{s}.") (($ $ (|List| |#2|)) "\\spad{D(x,{}[s1,{}...sn])} computes successive partial derivatives,{} \\spadignore{i.e.} \\spad{D(...D(x,{} s1)...,{} sn)}.") (($ $ |#2|) "\\spad{D(x,{}v)} computes the partial derivative of \\spad{x} with respect to \\spad{v}.")) (|differentiate| (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{differentiate(x,{} [s1,{}...,{}sn],{} [n1,{}...,{}nn])} computes multiple partial derivatives,{} \\spadignore{i.e.}") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{differentiate(x,{} s,{} n)} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{n}-th derivative of \\spad{x} with respect to \\spad{s}.") (($ $ (|List| |#2|)) "\\spad{differentiate(x,{}[s1,{}...sn])} computes successive partial derivatives,{} \\spadignore{i.e.} \\spad{differentiate(...differentiate(x,{} s1)...,{} sn)}.") (($ $ |#2|) "\\spad{differentiate(x,{}v)} computes the partial derivative of \\spad{x} with respect to \\spad{v}."))) 
 NIL 
 NIL 
-(-895 S) 
+(-896 S) 
 ((|constructor| (NIL "A partial differential ring with differentiations indexed by a parameter type \\spad{S}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{differentiate(x+y,{}e)=differentiate(x,{}e)+differentiate(y,{}e)}\\spad{\\br} \\tab{5}\\spad{differentiate(x*y,{}e)=x*differentiate(y,{}e)+differentiate(x,{}e)*y}")) (D (($ $ (|List| |#1|) (|List| (|NonNegativeInteger|))) "\\spad{D(x,{} [s1,{}...,{}sn],{} [n1,{}...,{}nn])} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{D(...D(x,{} s1,{} n1)...,{} sn,{} nn)}.") (($ $ |#1| (|NonNegativeInteger|)) "\\spad{D(x,{} s,{} n)} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{n}-th derivative of \\spad{x} with respect to \\spad{s}.") (($ $ (|List| |#1|)) "\\spad{D(x,{}[s1,{}...sn])} computes successive partial derivatives,{} \\spadignore{i.e.} \\spad{D(...D(x,{} s1)...,{} sn)}.") (($ $ |#1|) "\\spad{D(x,{}v)} computes the partial derivative of \\spad{x} with respect to \\spad{v}.")) (|differentiate| (($ $ (|List| |#1|) (|List| (|NonNegativeInteger|))) "\\spad{differentiate(x,{} [s1,{}...,{}sn],{} [n1,{}...,{}nn])} computes multiple partial derivatives,{} \\spadignore{i.e.}") (($ $ |#1| (|NonNegativeInteger|)) "\\spad{differentiate(x,{} s,{} n)} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{n}-th derivative of \\spad{x} with respect to \\spad{s}.") (($ $ (|List| |#1|)) "\\spad{differentiate(x,{}[s1,{}...sn])} computes successive partial derivatives,{} \\spadignore{i.e.} \\spad{differentiate(...differentiate(x,{} s1)...,{} sn)}.") (($ $ |#1|) "\\spad{differentiate(x,{}v)} computes the partial derivative of \\spad{x} with respect to \\spad{v}."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-896 S) 
+(-897 S) 
 ((|constructor| (NIL "This domain has no description")) (|coerce| (((|Tree| |#1|) $) "\\indented{1}{coerce(\\spad{x}) is not documented} \\blankline \\spad{X} t1:=ptree([1,{}2,{}3]) \\spad{X} t2:=ptree(\\spad{t1},{}ptree([1,{}2,{}3])) \\spad{X} t2::Tree List PositiveInteger")) (|ptree| (($ $ $) "\\indented{1}{ptree(\\spad{x},{}\\spad{y}) is not documented} \\blankline \\spad{X} t1:=ptree([1,{}2,{}3]) \\spad{X} ptree(\\spad{t1},{}ptree([1,{}2,{}3]))") (($ |#1|) "\\indented{1}{ptree(\\spad{s}) is a leaf? pendant tree} \\blankline \\spad{X} t1:=ptree([1,{}2,{}3])"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-897 |n| R) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-898 |n| R) 
 ((|constructor| (NIL "Permanent implements the functions permanent,{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The permanent is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the determinant. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} \\spad{Ch}. 19]. Note that permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of \\spad{x:}\\spad{\\br} if 2 has an inverse in \\spad{R} we can use the algorithm of [Nijenhuis and Wilf,{} \\spad{ch}.19,{}\\spad{p}.158]; if 2 has no inverse,{} some modifications are necessary:\\spad{\\br} if \\spad{n} > 6 and \\spad{R} is an integral domain with characteristic different from 2 (the algorithm works if and only 2 is not a zero-divisor of \\spad{R} and characteristic()\\$\\spad{R} \\spad{^=} 2,{} but how to check that for any given \\spad{R} ?),{} the local function \\spad{permanent2} is called;\\spad{\\br} else,{} the local function \\spad{permanent3} is called (works for all commutative rings \\spad{R})."))) 
 NIL 
 NIL 
-(-898 S) 
+(-899 S) 
 ((|constructor| (NIL "PermutationCategory provides a categorial environment for subgroups of bijections of a set (\\spadignore{i.e.} permutations)")) (< (((|Boolean|) $ $) "\\spad{p < q} is an order relation on permutations. Note that this order is only total if and only if \\spad{S} is totally ordered or \\spad{S} is finite.")) (|orbit| (((|Set| |#1|) $ |#1|) "\\spad{orbit(p,{} el)} returns the orbit of el under the permutation \\spad{p},{} \\spadignore{i.e.} the set which is given by applications of the powers of \\spad{p} to el.")) (|elt| ((|#1| $ |#1|) "\\spad{elt(p,{} el)} returns the image of el under the permutation \\spad{p}.")) (|eval| ((|#1| $ |#1|) "\\spad{eval(p,{} el)} returns the image of el under the permutation \\spad{p}.")) (|cycles| (($ (|List| (|List| |#1|))) "\\spad{cycles(lls)} coerces a list list of cycles \\spad{lls} to a permutation,{} each cycle being a list with not repetitions,{} is coerced to the permutation,{} which maps \\spad{ls}.\\spad{i} to \\spad{ls}.\\spad{i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|cycle| (($ (|List| |#1|)) "\\spad{cycle(ls)} coerces a cycle \\spad{ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps \\spad{ls}.\\spad{i} to \\spad{ls}.\\spad{i+1},{} indices modulo the length of the list. Error: if repetitions occur."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-899 S) 
+(-900 S) 
 ((|constructor| (NIL "PermutationGroup implements permutation groups acting on a set \\spad{S},{} \\spadignore{i.e.} all subgroups of the symmetric group of \\spad{S},{} represented as a list of permutations (generators). Note that therefore the objects are not members of the \\Language category \\spadtype{Group}. Using the idea of base and strong generators by Sims,{} basic routines and algorithms are implemented so that the word problem for permutation groups can be solved.")) (|initializeGroupForWordProblem| (((|Void|) $ (|Integer|) (|Integer|)) "\\spad{initializeGroupForWordProblem(gp,{}m,{}n)} initializes the group \\spad{gp} for the word problem. Notes: (1) with a small integer you get shorter words,{} but the routine takes longer than the standard routine for longer words. (2) be careful: invoking this routine will destroy the possibly stored information about your group (but will recompute it again). (3) users need not call this function normally for the soultion of the word problem.") (((|Void|) $) "\\spad{initializeGroupForWordProblem(gp)} initializes the group \\spad{gp} for the word problem. Notes: it calls the other function of this name with parameters 0 and 1: initializeGroupForWordProblem(\\spad{gp},{}0,{}1). Notes: (1) be careful: invoking this routine will destroy the possibly information about your group (but will recompute it again) (2) users need not call this function normally for the soultion of the word problem.")) (<= (((|Boolean|) $ $) "\\spad{gp1 <= gp2} returns \\spad{true} if and only if \\spad{gp1} is a subgroup of \\spad{gp2}. Note: because of a bug in the parser you have to call this function explicitly by \\spad{gp1} \\spad{<=}\\$(PERMGRP \\spad{S}) \\spad{gp2}.")) (< (((|Boolean|) $ $) "\\spad{gp1 < gp2} returns \\spad{true} if and only if \\spad{gp1} is a proper subgroup of \\spad{gp2}.")) (|movedPoints| (((|Set| |#1|) $) "\\spad{movedPoints(gp)} returns the points moved by the group \\spad{gp}.")) (|wordInGenerators| (((|List| (|NonNegativeInteger|)) (|Permutation| |#1|) $) "\\spad{wordInGenerators(p,{}gp)} returns the word for the permutation \\spad{p} in the original generators of the group \\spad{gp},{} represented by the indices of the list,{} given by generators.")) (|wordInStrongGenerators| (((|List| (|NonNegativeInteger|)) (|Permutation| |#1|) $) "\\spad{wordInStrongGenerators(p,{}gp)} returns the word for the permutation \\spad{p} in the strong generators of the group \\spad{gp},{} represented by the indices of the list,{} given by strongGenerators.")) (|member?| (((|Boolean|) (|Permutation| |#1|) $) "\\spad{member?(pp,{}gp)} answers the question,{} whether the permutation \\spad{pp} is in the group \\spad{gp} or not.")) (|orbits| (((|Set| (|Set| |#1|)) $) "\\spad{orbits(gp)} returns the orbits of the group \\spad{gp},{} \\spadignore{i.e.} it partitions the (finite) of all moved points.")) (|orbit| (((|Set| (|List| |#1|)) $ (|List| |#1|)) "\\spad{orbit(gp,{}ls)} returns the orbit of the ordered list \\spad{ls} under the group \\spad{gp}. Note: return type is \\spad{L} \\spad{L} \\spad{S} temporarily because FSET \\spad{L} \\spad{S} has an error.") (((|Set| (|Set| |#1|)) $ (|Set| |#1|)) "\\spad{orbit(gp,{}els)} returns the orbit of the unordered set \\spad{els} under the group \\spad{gp}.") (((|Set| |#1|) $ |#1|) "\\spad{orbit(gp,{}el)} returns the orbit of the element \\spad{el} under the group \\spad{gp},{} \\spadignore{i.e.} the set of all points gained by applying each group element to \\spad{el}.")) (|permutationGroup| (($ (|List| (|Permutation| |#1|))) "\\spad{permutationGroup(ls)} coerces a list of permutations \\spad{ls} to the group generated by this list.")) (|wordsForStrongGenerators| (((|List| (|List| (|NonNegativeInteger|))) $) "\\spad{wordsForStrongGenerators(gp)} returns the words for the strong generators of the group \\spad{gp} in the original generators of \\spad{gp},{} represented by their indices in the list,{} given by generators.")) (|strongGenerators| (((|List| (|Permutation| |#1|)) $) "\\spad{strongGenerators(gp)} returns strong generators for the group \\spad{gp}.")) (|base| (((|List| |#1|) $) "\\spad{base(gp)} returns a base for the group \\spad{gp}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(gp)} returns the number of points moved by all permutations of the group \\spad{gp}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(gp)} returns the order of the group \\spad{gp}.")) (|random| (((|Permutation| |#1|) $) "\\spad{random(gp)} returns a random product of maximal 20 generators of the group \\spad{gp}. Note: random(\\spad{gp})=random(\\spad{gp},{}20).") (((|Permutation| |#1|) $ (|Integer|)) "\\spad{random(gp,{}i)} returns a random product of maximal \\spad{i} generators of the group \\spad{gp}.")) (|elt| (((|Permutation| |#1|) $ (|NonNegativeInteger|)) "\\spad{elt(gp,{}i)} returns the \\spad{i}-th generator of the group \\spad{gp}.")) (|generators| (((|List| (|Permutation| |#1|)) $) "\\spad{generators(gp)} returns the generators of the group \\spad{gp}.")) (|coerce| (($ (|List| (|Permutation| |#1|))) "\\spad{coerce(ls)} coerces a list of permutations \\spad{ls} to the group generated by this list.") (((|List| (|Permutation| |#1|)) $) "\\spad{coerce(gp)} returns the generators of the group \\spad{gp}."))) 
 NIL 
 NIL 
-(-900 S) 
+(-901 S) 
 ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections on a set \\spad{S},{} which move only a finite number of points. A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular multiplication is defined as composition of maps:\\spad{\\br} \\spad{pi1} * \\spad{pi2} = \\spad{pi1} \\spad{o} \\spad{pi2}.\\spad{\\br} The internal representation of permuatations are two lists of equal length representing preimages and images.")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list \\spad{ls} to a permutation whose image is given by \\spad{ls} and the preimage is fixed to be [1,{}...,{}\\spad{n}]. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\indented{1}{fixedPoints(\\spad{p}) returns the points fixed by the permutation \\spad{p}.} \\spad{X} \\spad{p} \\spad{:=} coercePreimagesImages([[0,{}1,{}2,{}3],{}[3,{}0,{}2,{}1]])\\$PERM ZMOD 4 \\spad{X} fixedPoints \\spad{p}")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations \\spad{lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} sign(\\spad{p}) is \\spad{-1}.")) (|even?| (((|Boolean|) $) "\\indented{1}{even?(\\spad{p}) returns \\spad{true} if and only if \\spad{p} is an even permutation,{}} \\indented{1}{\\spadignore{i.e.} sign(\\spad{p}) is 1.} \\blankline \\spad{X} \\spad{p} \\spad{:=} coercePreimagesImages([[1,{}2,{}3],{}[1,{}2,{}3]]) \\spad{X} even? \\spad{p}")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|movedPoints| (((|Set| |#1|) $) "\\indented{1}{movedPoints(\\spad{p}) returns the set of points moved by the permutation \\spad{p}.} \\blankline \\spad{X} \\spad{p} \\spad{:=} coercePreimagesImages([[1,{}2,{}3],{}[1,{}2,{}3]]) \\spad{X} movedPoints \\spad{p}")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs \\spad{lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle \\spad{ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps \\spad{ls}.\\spad{i} to \\spad{ls}.\\spad{i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles \\spad{lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps \\spad{ls}.\\spad{i} to \\spad{ls}.\\spad{i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\indented{1}{coercePreimagesImages(\\spad{lls}) coerces the representation \\spad{lls}} \\indented{1}{of a permutation as a list of preimages and images to a permutation.} \\indented{1}{We assume that both preimage and image do not contain repetitions.} \\blankline \\spad{X} \\spad{p} \\spad{:=} coercePreimagesImages([[1,{}2,{}3],{}[1,{}2,{}3]]) \\spad{X} \\spad{q} \\spad{:=} coercePreimagesImages([[0,{}1,{}2,{}3],{}[3,{}0,{}2,{}1]])\\$PERM ZMOD 4")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation rep of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps (rep.preimage).\\spad{k} to (rep.image).\\spad{k} for all indices \\spad{k}. Elements of \\spad{S} not in (rep.preimage).\\spad{k} are fixed points,{} and these are the only fixed points of the permutation."))) 
-((-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-842))))) 
-(-901 R E |VarSet| S) 
+((-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-843))))) 
+(-902 R E |VarSet| S) 
 ((|constructor| (NIL "PolynomialFactorizationByRecursion(\\spad{R},{}\\spad{E},{}\\spad{VarSet},{}\\spad{S}) is used for factorization of sparse univariate polynomials over a domain \\spad{S} of multivariate polynomials over \\spad{R}.")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|bivariateSLPEBR| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) |#3|) "\\spad{bivariateSLPEBR(lp,{}p,{}v)} implements the bivariate case of solveLinearPolynomialEquationByRecursion its implementation depends on \\spad{R}")) (|randomR| ((|#1|) "\\spad{randomR produces} a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,{}...,{}pn],{}p)} returns the list of polynomials \\spad{[q1,{}...,{}qn]} such that \\spad{sum qi/pi = p / prod \\spad{pi}},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned."))) 
 NIL 
 NIL 
-(-902 R S) 
+(-903 R S) 
 ((|constructor| (NIL "PolynomialFactorizationByRecursionUnivariate \\spad{R} is a \\spadfun{PolynomialFactorizationExplicit} domain,{} \\spad{S} is univariate polynomials over \\spad{R} We are interested in handling SparseUnivariatePolynomials over \\spad{S},{} is a variable we shall call \\spad{z}")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#2|)) (|SparseUnivariatePolynomial| |#2|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|randomR| ((|#1|) "\\spad{randomR()} produces a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#2|)) (|SparseUnivariatePolynomial| |#2|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#2|)) (|SparseUnivariatePolynomial| |#2|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#2|)) "failed") (|List| (|SparseUnivariatePolynomial| |#2|)) (|SparseUnivariatePolynomial| |#2|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,{}...,{}pn],{}p)} returns the list of polynomials \\spad{[q1,{}...,{}qn]} such that \\spad{sum qi/pi = p / prod \\spad{pi}},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned."))) 
 NIL 
 NIL 
-(-903 S) 
+(-904 S) 
 ((|constructor| (NIL "This is the category of domains that know \"enough\" about themselves in order to factor univariate polynomials over themselves. This will be used in future releases for supporting factorization over finitely generated coefficient fields,{} it is not yet available in the current release of axiom.")) (|charthRoot| (((|Union| $ "failed") $) "\\spad{charthRoot(r)} returns the \\spad{p}\\spad{-}th root of \\spad{r},{} or \"failed\" if none exists in the domain.")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(m)} returns a vector of elements,{} not all zero,{} whose \\spad{p}\\spad{-}th powers (\\spad{p} is the characteristic of the domain) are a solution of the homogenous linear system represented by \\spad{m},{} or \"failed\" is there is no such vector.")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| $)) "failed") (|List| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists.")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $)) "\\spad{gcdPolynomial(p,{}q)} returns the \\spad{gcd} of the univariate polynomials \\spad{p} \\spad{qnd} \\spad{q}.")) (|factorSquareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorSquareFreePolynomial(p)} factors the univariate polynomial \\spad{p} into irreducibles where \\spad{p} is known to be square free and primitive with respect to its main variable.")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} returns the factorization into irreducibles of the univariate polynomial \\spad{p}.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} returns the square-free factorization of the univariate polynomial \\spad{p}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-148)))) 
-(-904) 
+((|HasCategory| |#1| (QUOTE (-149)))) 
+(-905) 
 ((|constructor| (NIL "This is the category of domains that know \"enough\" about themselves in order to factor univariate polynomials over themselves. This will be used in future releases for supporting factorization over finitely generated coefficient fields,{} it is not yet available in the current release of axiom.")) (|charthRoot| (((|Union| $ "failed") $) "\\spad{charthRoot(r)} returns the \\spad{p}\\spad{-}th root of \\spad{r},{} or \"failed\" if none exists in the domain.")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(m)} returns a vector of elements,{} not all zero,{} whose \\spad{p}\\spad{-}th powers (\\spad{p} is the characteristic of the domain) are a solution of the homogenous linear system represented by \\spad{m},{} or \"failed\" is there is no such vector.")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| $)) "failed") (|List| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists.")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $)) "\\spad{gcdPolynomial(p,{}q)} returns the \\spad{gcd} of the univariate polynomials \\spad{p} \\spad{qnd} \\spad{q}.")) (|factorSquareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorSquareFreePolynomial(p)} factors the univariate polynomial \\spad{p} into irreducibles where \\spad{p} is known to be square free and primitive with respect to its main variable.")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} returns the factorization into irreducibles of the univariate polynomial \\spad{p}.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} returns the square-free factorization of the univariate polynomial \\spad{p}."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-905 |p|) 
+(-906 |p|) 
 ((|constructor| (NIL "PrimeField(\\spad{p}) implements the field with \\spad{p} elements if \\spad{p} is a prime number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| $ (QUOTE (-150))) (|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-370)))) 
-(-906 R0 -1478 UP UPUP R) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| $ (QUOTE (-151))) (|HasCategory| $ (QUOTE (-149))) (|HasCategory| $ (QUOTE (-371)))) 
+(-907 R0 -1564 UP UPUP R) 
 ((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#5|)) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsionIfCan(f)}\\\\ undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{order(f)} \\undocumented"))) 
 NIL 
 NIL 
-(-907 UP UPUP R) 
+(-908 UP UPUP R) 
 ((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#3|)) "failed") (|FiniteDivisor| (|Fraction| (|Integer|)) |#1| |#2| |#3|)) "\\spad{torsionIfCan(f)} \\undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| (|Fraction| (|Integer|)) |#1| |#2| |#3|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| (|Fraction| (|Integer|)) |#1| |#2| |#3|)) "\\spad{order(f)} \\undocumented"))) 
 NIL 
 NIL 
-(-908 R |PolyRing| E -1965) 
+(-909 R |PolyRing| E -4391) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|degreeOfMinimalForm| (((|NonNegativeInteger|) |#2|) "\\spad{degreeOfMinimalForm does} what it says")) (|listAllMono| (((|List| |#2|) (|NonNegativeInteger|)) "\\spad{listAllMono(l)} returns all the monomials of degree \\spad{l}")) (|listAllMonoExp| (((|List| |#3|) (|Integer|)) "\\spad{listAllMonoExp(l)} returns all the exponents of degree \\spad{l}")) (|homogenize| ((|#2| |#2| (|Integer|)) "\\spad{homogenize(pol,{}n)} returns the homogenized polynomial of \\spad{pol} with respect to the \\spad{n}-th variable.")) (|constant| ((|#1| |#2|) "\\spad{constant(pol)} returns the constant term of the polynomial.")) (|degOneCoef| ((|#1| |#2| (|PositiveInteger|)) "\\spad{degOneCoef(pol,{}n)} returns the coefficient in front of the monomial specified by the positive integer.")) (|translate| ((|#2| |#2| (|List| |#1|)) "\\spad{translate(pol,{}[a,{}b,{}c])} apply to \\spad{pol} the linear change of coordinates,{} \\spad{x}->x+a,{} \\spad{y}->y+b,{} \\spad{z}->z+c") ((|#2| |#2| (|List| |#1|) (|Integer|)) "\\spad{translate(pol,{}[a,{}b,{}c],{}3)} apply to \\spad{pol} the linear change of coordinates,{} \\spad{x}->x+a,{} \\spad{y}->y+b,{} \\spad{z}-\\spad{>1}.")) (|replaceVarByOne| ((|#2| |#2| (|Integer|)) "\\spad{replaceVarByOne(pol,{}a)} evaluate to one the variable in \\spad{pol} specified by the integer a.")) (|replaceVarByZero| ((|#2| |#2| (|Integer|)) "\\spad{replaceVarByZero(pol,{}a)} evaluate to zero the variable in \\spad{pol} specified by the integer a.")) (|firstExponent| ((|#3| |#2|) "\\spad{firstExponent(pol)} returns the exponent of the first term in the representation of \\spad{pol}. Not to be confused with the leadingExponent \\indented{1}{which is the highest exponent according to the order} over the monomial.")) (|minimalForm| ((|#2| |#2|) "\\spad{minimalForm(pol)} returns the minimal forms of the polynomial \\spad{pol}."))) 
 NIL 
 NIL 
-(-909 UP UPUP) 
+(-910 UP UPUP) 
 ((|constructor| (NIL "Utilities for PFOQ and PFO")) (|polyred| ((|#2| |#2|) "\\spad{polyred(u)} \\undocumented")) (|doubleDisc| (((|Integer|) |#2|) "\\spad{doubleDisc(u)} \\undocumented")) (|mix| (((|Integer|) (|List| (|Record| (|:| |den| (|Integer|)) (|:| |gcdnum| (|Integer|))))) "\\spad{mix(l)} \\undocumented")) (|badNum| (((|Integer|) |#2|) "\\spad{badNum(u)} \\undocumented") (((|Record| (|:| |den| (|Integer|)) (|:| |gcdnum| (|Integer|))) |#1|) "\\spad{badNum(p)} \\undocumented")) (|getGoodPrime| (((|PositiveInteger|) (|Integer|)) "\\spad{getGoodPrime n} returns the smallest prime not dividing \\spad{n}"))) 
 NIL 
 NIL 
-(-910 R) 
+(-911 R) 
 ((|constructor| (NIL "The domain \\spadtype{PartialFraction} implements partial fractions over a euclidean domain \\spad{R}. This requirement on the argument domain allows us to normalize the fractions. Of particular interest are the 2 forms for these fractions. The ``compact\\spad{''} form has only one fractional term per prime in the denominator,{} while the \\spad{``p}-adic\\spad{''} form expands each numerator \\spad{p}-adically via the prime \\spad{p} in the denominator. For computational efficiency,{} the compact form is used,{} though the \\spad{p}-adic form may be gotten by calling the function padicFraction}. For a general euclidean domain,{} it is not known how to factor the denominator. Thus the function partialFraction takes as its second argument an element of \\spadtype{Factored(R)}.")) (|wholePart| ((|#1| $) "\\indented{1}{wholePart(\\spad{p}) extracts the whole part of the partial fraction} \\indented{1}{\\spad{p}.} \\blankline \\spad{X} a:=(74/13)::PFR(INT) \\spad{X} wholePart(a)")) (|partialFraction| (($ |#1| (|Factored| |#1|)) "\\indented{1}{partialFraction(numer,{}denom) is the main function for} \\indented{1}{constructing partial fractions. The second argument is the} \\indented{1}{denominator and should be factored.} \\blankline \\spad{X} partialFraction(1,{}factorial 10)")) (|padicFraction| (($ $) "\\indented{1}{padicFraction(\\spad{q}) expands the fraction \\spad{p}-adically in the primes} \\indented{1}{\\spad{p} in the denominator of \\spad{q}. For example,{}} \\indented{1}{\\spad{padicFraction(3/(2**2)) = 1/2 + 1/(2**2)}.} \\indented{1}{Use compactFraction from PartialFraction to} \\indented{1}{return to compact form.} \\blankline \\spad{X} a:=partialFraction(1,{}factorial 10) \\spad{X} padicFraction(a)")) (|padicallyExpand| (((|SparseUnivariatePolynomial| |#1|) |#1| |#1|) "\\spad{padicallyExpand(p,{}x)} is a utility function that expands the second argument \\spad{x} \\spad{``p}-adically\\spad{''} in the first.")) (|numberOfFractionalTerms| (((|Integer|) $) "\\indented{1}{numberOfFractionalTerms(\\spad{p}) computes the number of fractional} \\indented{1}{terms in \\spad{p}. This returns 0 if there is no fractional} \\indented{1}{part.} \\blankline \\spad{X} a:=partialFraction(1,{}factorial 10) \\spad{X} b:=padicFraction(a) \\spad{X} numberOfFractionalTerms(\\spad{b})")) (|nthFractionalTerm| (($ $ (|Integer|)) "\\indented{1}{nthFractionalTerm(\\spad{p},{}\\spad{n}) extracts the \\spad{n}th fractional term from} \\indented{1}{the partial fraction \\spad{p}.\\space{2}This returns 0 if the index} \\indented{1}{\\spad{n} is out of range.} \\blankline \\spad{X} a:=partialFraction(1,{}factorial 10) \\spad{X} b:=padicFraction(a) \\spad{X} nthFractionalTerm(\\spad{b},{}3)")) (|firstNumer| ((|#1| $) "\\indented{1}{firstNumer(\\spad{p}) extracts the numerator of the first fractional} \\indented{1}{term. This returns 0 if there is no fractional part (use} \\indented{1}{wholePart from PartialFraction to get the whole part).} \\blankline \\spad{X} a:=partialFraction(1,{}factorial 10) \\spad{X} firstNumer(a)")) (|firstDenom| (((|Factored| |#1|) $) "\\indented{1}{firstDenom(\\spad{p}) extracts the denominator of the first fractional} \\indented{1}{term. This returns 1 if there is no fractional part (use} \\indented{1}{wholePart from PartialFraction to get the whole part).} \\blankline \\spad{X} a:=partialFraction(1,{}factorial 10) \\spad{X} firstDenom(a)")) (|compactFraction| (($ $) "\\indented{1}{compactFraction(\\spad{p}) normalizes the partial fraction \\spad{p}} \\indented{1}{to the compact representation. In this form,{} the partial} \\indented{1}{fraction has only one fractional term per prime in the} \\indented{1}{denominator.} \\blankline \\spad{X} a:=partialFraction(1,{}factorial 10) \\spad{X} b:=padicFraction(a) \\spad{X} compactFraction(\\spad{b})")) (|coerce| (($ (|Fraction| (|Factored| |#1|))) "\\indented{1}{coerce(\\spad{f}) takes a fraction with numerator and denominator in} \\indented{1}{factored form and creates a partial fraction.\\space{2}It is} \\indented{1}{necessary for the parts to be factored because it is not} \\indented{1}{known in general how to factor elements of \\spad{R} and} \\indented{1}{this is needed to decompose into partial fractions.} \\blankline \\spad{X} (13/74)::PFR(INT)") (((|Fraction| |#1|) $) "\\indented{1}{coerce(\\spad{p}) sums up the components of the partial fraction and} \\indented{1}{returns a single fraction.} \\blankline \\spad{X} a:=(13/74)::PFR(INT) \\spad{X} a::FRAC(INT)"))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-911 R) 
+(-912 R) 
 ((|constructor| (NIL "The package \\spadtype{PartialFractionPackage} gives an easier to use interfact the domain \\spadtype{PartialFraction}. The user gives a fraction of polynomials,{} and a variable and the package converts it to the proper datatype for the \\spadtype{PartialFraction} domain.")) (|partialFraction| (((|Any|) (|Polynomial| |#1|) (|Factored| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{partialFraction(num,{} facdenom,{} var)} returns the partial fraction decomposition of the rational function whose numerator is \\spad{num} and whose factored denominator is \\spad{facdenom} with respect to the variable var.") (((|Any|) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\indented{1}{partialFraction(\\spad{rf},{} var) returns the partial fraction decomposition} \\indented{1}{of the rational function \\spad{rf} with respect to the variable var.} \\blankline \\spad{X} a:=x+1/(\\spad{y+1}) \\spad{X} partialFraction(a,{}\\spad{y})\\$PFRPAC(INT)"))) 
 NIL 
 NIL 
-(-912 E OV R P) 
+(-913 E OV R P) 
 ((|constructor| (NIL "This package computes multivariate polynomial \\spad{gcd}\\spad{'s} using a hensel lifting strategy. The contraint on the coefficient domain is imposed by the lifting strategy. It is assumed that the coefficient domain has the property that almost all specializations preserve the degree of the \\spad{gcd}.")) (|gcdPrimitive| ((|#4| (|List| |#4|)) "\\spad{gcdPrimitive lp} computes the \\spad{gcd} of the list of primitive polynomials \\spad{lp}.") (((|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{gcdPrimitive(p,{}q)} computes the \\spad{gcd} of the primitive polynomials \\spad{p} and \\spad{q}.") ((|#4| |#4| |#4|) "\\spad{gcdPrimitive(p,{}q)} computes the \\spad{gcd} of the primitive polynomials \\spad{p} and \\spad{q}.")) (|gcd| (((|SparseUnivariatePolynomial| |#4|) (|List| (|SparseUnivariatePolynomial| |#4|))) "\\spad{gcd(lp)} computes the \\spad{gcd} of the list of polynomials \\spad{lp}.") (((|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{gcd(p,{}q)} computes the \\spad{gcd} of the two polynomials \\spad{p} and \\spad{q}.") ((|#4| (|List| |#4|)) "\\spad{gcd(lp)} computes the \\spad{gcd} of the list of polynomials \\spad{lp}.") ((|#4| |#4| |#4|) "\\spad{gcd(p,{}q)} computes the \\spad{gcd} of the two polynomials \\spad{p} and \\spad{q}."))) 
 NIL 
 NIL 
-(-913) 
+(-914) 
 ((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition \\spad{lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,{}...,{}nk])} constructs the direct product of the symmetric groups \\spad{Sn1},{}...,{}\\spad{Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=} 8. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer ij where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube:   +-----+ +-- B   where: marks Side # :               / U   /|/              /     / |         F(ront)    <->    1      L -->  +-----+ R|         R(ight)    <->    2             |     |  +         U(p)       <->    3             |  F  | /          D(own)     <->    4             |     |/           L(eft)     <->    5             +-----+            B(ack)     <->    6                ^                |                DThe Cube's surface:                               The pieces on each side            +---+              (except the unmoveable center            |567|              piece) are clockwise numbered            |4U8|              from 1 to 8 starting with the            |321|              piece in the upper left        +---+---+---+          corner (see figure on the        |781|123|345|          left).  The moves of the cube        |6L2|8F4|2R6|          are represented as        |543|765|187|          permutations on these pieces.        +---+---+---+          Each of the pieces is            |123|              represented as a two digit            |8D4|              integer ij where i is the            |765|              # of the side ( 1 to 6 for            +---+              F to B (see table above ))            |567|              and j is the # of the piece.            |4B8|            |321|            +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(\\spad{li})} constructs the janko group acting on the 100 integers given in the list \\spad{li}. Note that duplicates in the list will be removed. Error: if \\spad{li} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(\\spad{li})} constructs the mathieu group acting on the 24 integers given in the list \\spad{li}. Note that duplicates in the list will be removed. Error: if \\spad{li} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(\\spad{li})} constructs the mathieu group acting on the 23 integers given in the list \\spad{li}. Note that duplicates in the list will be removed. Error: if \\spad{li} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(\\spad{li})} constructs the mathieu group acting on the 22 integers given in the list \\spad{li}. Note that duplicates in the list will be removed. Error: if \\spad{li} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(\\spad{li})} constructs the mathieu group acting on the 12 integers given in the list \\spad{li}. Note that duplicates in the list will be removed Error: if \\spad{li} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(\\spad{li})} constructs the mathieu group acting on the 11 integers given in the list \\spad{li}. Note that duplicates in the list will be removed. error,{} if \\spad{li} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,{}...,{}ik])} constructs the dihedral group of order 2k acting on the integers out of \\spad{i1},{}...,{}ik. Note that duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,{}...,{}ik])} constructs the cyclic group of order \\spad{k} acting on the integers \\spad{i1},{}...,{}ik. Note that duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,{}...,{}nk])} constructs the abelian group that is the direct product of cyclic groups with order \\spad{ni}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(\\spad{li})} constructs the alternating group acting on the integers in the list \\spad{li},{} generators are in general the \\spad{n}-2-cycle (\\spad{li}.3,{}...,{}\\spad{li}.\\spad{n}) and the 3-cycle (\\spad{li}.1,{}\\spad{li}.2,{}\\spad{li}.3),{} if \\spad{n} is odd and product of the 2-cycle (\\spad{li}.1,{}\\spad{li}.2) with \\spad{n}-2-cycle (\\spad{li}.3,{}...,{}\\spad{li}.\\spad{n}) and the 3-cycle (\\spad{li}.1,{}\\spad{li}.2,{}\\spad{li}.3),{} if \\spad{n} is even. Note that duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group An acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the \\spad{n}-2-cycle (3,{}...,{}\\spad{n}) and the 3-cycle (1,{}2,{}3) if \\spad{n} is odd and the product of the 2-cycle (1,{}2) with \\spad{n}-2-cycle (3,{}...,{}\\spad{n}) and the 3-cycle (1,{}2,{}3) if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(\\spad{li})} constructs the symmetric group acting on the integers in the list \\spad{li},{} generators are the cycle given by \\spad{li} and the 2-cycle (\\spad{li}.1,{}\\spad{li}.2). Note that duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group \\spad{Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the \\spad{n}-cycle (1,{}...,{}\\spad{n}) and the 2-cycle (1,{}2)."))) 
 NIL 
 NIL 
-(-914 -1478) 
+(-915 -1564) 
 ((|constructor| (NIL "Groebner functions for \\spad{P} \\spad{F} This package is an interface package to the groebner basis package which allows you to compute groebner bases for polynomials in either lexicographic ordering or total degree ordering refined by reverse lex. The input is the ordinary polynomial type which is internally converted to a type with the required ordering. The resulting grobner basis is converted back to ordinary polynomials. The ordering among the variables is controlled by an explicit list of variables which is passed as a second argument. The coefficient domain is allowed to be any \\spad{gcd} domain,{} but the groebner basis is computed as if the polynomials were over a field.")) (|totalGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{totalGroebner(lp,{}lv)} computes Groebner basis for the list of polynomials \\spad{lp} with the terms ordered first by total degree and then refined by reverse lexicographic ordering. The variables are ordered by their position in the list \\spad{lv}.")) (|lexGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{lexGroebner(lp,{}lv)} computes Groebner basis for the list of polynomials \\spad{lp} in lexicographic order. The variables are ordered by their position in the list \\spad{lv}."))) 
 NIL 
 NIL 
-(-915 R) 
+(-916 R) 
 ((|constructor| (NIL "Provides a coercion from the symbolic fractions in \\%\\spad{pi} with integer coefficients to any Expression type.")) (|coerce| (((|Expression| |#1|) (|Pi|)) "\\spad{coerce(f)} returns \\spad{f} as an Expression(\\spad{R})."))) 
 NIL 
 NIL 
-(-916) 
+(-917) 
 ((|constructor| (NIL "The category of constructive principal ideal domains,{} \\spadignore{i.e.} where a single generator can be constructively found for any ideal given by a finite set of generators. Note that this constructive definition only implies that finitely generated ideals are principal. It is not clear what we would mean by an infinitely generated ideal.")) (|expressIdealMember| (((|Union| (|List| $) "failed") (|List| $) $) "\\spad{expressIdealMember([f1,{}...,{}fn],{}h)} returns a representation of \\spad{h} as a linear combination of the \\spad{fi} or \"failed\" if \\spad{h} is not in the ideal generated by the \\spad{fi}.")) (|principalIdeal| (((|Record| (|:| |coef| (|List| $)) (|:| |generator| $)) (|List| $)) "\\spad{principalIdeal([f1,{}...,{}fn])} returns a record whose generator component is a generator of the ideal generated by \\spad{[f1,{}...,{}fn]} whose coef component satisfies \\spad{generator = sum (input.i * coef.i)}"))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-917) 
+(-918) 
 ((|constructor| (NIL "\\spadtype{PositiveInteger} provides functions for positive integers.")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : x*y = \\spad{y*x}")) (|gcd| (($ $ $) "\\spad{gcd(a,{}b)} computes the greatest common divisor of two positive integers \\spad{a} and \\spad{b}."))) 
-(((-4523 "*") . T)) 
+(((-4537 "*") . T)) 
 NIL 
-(-918 -1478 P) 
+(-919 -1564 P) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,{}l2)} \\undocumented"))) 
 NIL 
 NIL 
-(-919 |xx| -1478) 
+(-920 |xx| -1564) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|interpolate| (((|SparseUnivariatePolynomial| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(lf,{}lg)} \\undocumented") (((|UnivariatePolynomial| |#1| |#2|) (|UnivariatePolynomial| |#1| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(u,{}lf,{}lg)} \\undocumented"))) 
 NIL 
 NIL 
-(-920 K PCS) 
+(-921 K PCS) 
 ((|constructor| (NIL "This is part of the PAFF package,{} related to projective space.")) (|elt| ((|#1| $ (|Integer|)) "\\spad{elt returns} the value of a specified coordinates if the places correspnd to a simple point")) (|setFoundPlacesToEmpty| (((|List| $)) "\\spad{setFoundPlacesToEmpty()} does what it says. (this should not be used)\\spad{!!!}")) (|foundPlaces| (((|List| $)) "\\spad{foundPlaces()} returns the list of all \"created\" places up to now.")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(pl)} test if the place \\spad{pl} correspond to a leaf of a desingularisation tree.")) (|setDegree!| (((|Void|) $ (|PositiveInteger|)) "\\spad{setDegree!(pl,{}ls)} set the degree.")) (|setParam!| (((|Void|) $ (|List| |#2|)) "\\spad{setParam!(pl,{}ls)} set the local parametrization of \\spad{pl} to \\spad{ls}.")) (|localParam| (((|List| |#2|) $) "\\spad{localParam(pl)} returns the local parametrization associated to the place \\spad{pl}."))) 
 NIL 
 NIL 
-(-921 K) 
+(-922 K) 
 ((|constructor| (NIL "The following is part of the PAFF package"))) 
 NIL 
 NIL 
-(-922 K) 
+(-923 K) 
 ((|constructor| (NIL "The following is part of the PAFF package"))) 
 NIL 
 NIL 
-(-923 K PCS) 
+(-924 K PCS) 
 ((|constructor| (NIL "The following is part of the PAFF package"))) 
 NIL 
 NIL 
-(-924 R |Var| |Expon| GR) 
+(-925 R |Var| |Expon| GR) 
 ((|constructor| (NIL "This package completely solves a parametric linear system of equations by decomposing the set of all parametric values for which the linear system is consistent into a union of quasi-algebraic sets (which need not be irredundant,{} but most of the time is). Each quasi-algebraic set is described by a list of polynomials that vanish on the set,{} and a list of polynomials that vanish at no point of the set. For each quasi-algebraic set,{} the solution of the linear system is given,{} as a particular solution and a basis of the homogeneous system. \\blankline The parametric linear system should be given in matrix form,{} with a coefficient matrix and a right hand side vector. The entries of the coefficient matrix and right hand side vector should be polynomials in the parametric variables,{} over a Euclidean domain of characteristic zero. \\blankline If the system is homogeneous,{} the right hand side need not be given. The right hand side can also be replaced by an indeterminate vector,{} in which case,{} the conditions required for consistency will also be given. \\blankline The package has other facilities for saving results to external files,{} as well as solving the system for a specified minimum rank. Altogether there are 12 mode maps for psolve,{} as explained below.")) (|inconsistent?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "inconsistant?(\\spad{pl}) returns \\spad{true} if the system of equations \\spad{p} = 0 for \\spad{p} in \\spad{pl} is inconsistent. It is assumed that \\spad{pl} is a groebner basis.") (((|Boolean|) (|List| |#4|)) "inconsistant?(\\spad{pl}) returns \\spad{true} if the system of equations \\spad{p} = 0 for \\spad{p} in \\spad{pl} is inconsistent. It is assumed that \\spad{pl} is a groebner basis.")) (|sqfree| ((|#4| |#4|) "\\spad{sqfree(p)} returns the product of square free factors of \\spad{p}")) (|regime| (((|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|)))))))) (|Record| (|:| |det| |#4|) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))) (|Matrix| |#4|) (|List| (|Fraction| (|Polynomial| |#1|))) (|List| (|List| |#4|)) (|NonNegativeInteger|) (|NonNegativeInteger|) (|Integer|)) "\\spad{regime(y,{}c,{} w,{} p,{} r,{} rm,{} m)} returns a regime,{} a list of polynomials specifying the consistency conditions,{} a particular solution and basis representing the general solution of the parametric linear system \\spad{c} \\spad{z} = \\spad{w} on that regime. The regime returned depends on the subdeterminant \\spad{y}.det and the row and column indices. The solutions are simplified using the assumption that the system has rank \\spad{r} and maximum rank \\spad{rm}. The list \\spad{p} represents a list of list of factors of polynomials in a groebner basis of the ideal generated by higher order subdeterminants,{} and ius used for the simplification. The mode \\spad{m} distinguishes the cases when the system is homogeneous,{} or the right hand side is arbitrary,{} or when there is no new right hand side variables.")) (|redmat| (((|Matrix| |#4|) (|Matrix| |#4|) (|List| |#4|)) "\\spad{redmat(m,{}g)} returns a matrix whose entries are those of \\spad{m} modulo the ideal generated by the groebner basis \\spad{g}")) (|ParCond| (((|List| (|Record| (|:| |det| |#4|) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|))))) (|Matrix| |#4|) (|NonNegativeInteger|)) "\\spad{ParCond(m,{}k)} returns the list of all \\spad{k} by \\spad{k} subdeterminants in the matrix \\spad{m}")) (|overset?| (((|Boolean|) (|List| |#4|) (|List| (|List| |#4|))) "\\spad{overset?(s,{}sl)} returns \\spad{true} if \\spad{s} properly a sublist of a member of \\spad{sl}; otherwise it returns \\spad{false}")) (|nextSublist| (((|List| (|List| (|Integer|))) (|Integer|) (|Integer|)) "\\spad{nextSublist(n,{}k)} returns a list of \\spad{k}-subsets of {1,{} ...,{} \\spad{n}}.")) (|minset| (((|List| (|List| |#4|)) (|List| (|List| |#4|))) "\\spad{minset(sl)} returns the sublist of \\spad{sl} consisting of the minimal lists (with respect to inclusion) in the list \\spad{sl} of lists")) (|minrank| (((|NonNegativeInteger|) (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| |#4|) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| |#4|))))) "\\spad{minrank(r)} returns the minimum rank in the list \\spad{r} of regimes")) (|maxrank| (((|NonNegativeInteger|) (|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| |#4|) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| |#4|))))) "\\spad{maxrank(r)} returns the maximum rank in the list \\spad{r} of regimes")) (|factorset| (((|List| |#4|) |#4|) "\\spad{factorset(p)} returns the set of irreducible factors of \\spad{p}.")) (|B1solve| (((|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|)))))) (|Record| (|:| |mat| (|Matrix| (|Fraction| (|Polynomial| |#1|)))) (|:| |vec| (|List| (|Fraction| (|Polynomial| |#1|)))) (|:| |rank| (|NonNegativeInteger|)) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|))))) "\\spad{B1solve(s)} solves the system (\\spad{s}.mat) \\spad{z} = \\spad{s}.vec for the variables given by the column indices of \\spad{s}.cols in terms of the other variables and the right hand side \\spad{s}.vec by assuming that the rank is \\spad{s}.rank,{} that the system is consistent,{} with the linearly independent equations indexed by the given row indices \\spad{s}.rows; the coefficients in \\spad{s}.mat involving parameters are treated as polynomials. B1solve(\\spad{s}) returns a particular solution to the system and a basis of the homogeneous system (\\spad{s}.mat) \\spad{z} = 0.")) (|redpps| (((|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|)))))) (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|)))))) (|List| |#4|)) "\\spad{redpps(s,{}g)} returns the simplified form of \\spad{s} after reducing modulo a groebner basis \\spad{g}")) (|ParCondList| (((|List| (|Record| (|:| |rank| (|NonNegativeInteger|)) (|:| |eqns| (|List| (|Record| (|:| |det| |#4|) (|:| |rows| (|List| (|Integer|))) (|:| |cols| (|List| (|Integer|)))))) (|:| |fgb| (|List| |#4|)))) (|Matrix| |#4|) (|NonNegativeInteger|)) "\\spad{ParCondList(c,{}r)} computes a list of subdeterminants of each rank \\spad{>=} \\spad{r} of the matrix \\spad{c} and returns a groebner basis for the ideal they generate")) (|hasoln| (((|Record| (|:| |sysok| (|Boolean|)) (|:| |z0| (|List| |#4|)) (|:| |n0| (|List| |#4|))) (|List| |#4|) (|List| |#4|)) "\\spad{hasoln(g,{} l)} tests whether the quasi-algebraic set defined by \\spad{p} = 0 for \\spad{p} in \\spad{g} and \\spad{q} \\spad{^=} 0 for \\spad{q} in \\spad{l} is empty or not and returns a simplified definition of the quasi-algebraic set")) (|pr2dmp| ((|#4| (|Polynomial| |#1|)) "\\spad{pr2dmp(p)} converts \\spad{p} to target domain")) (|se2rfi| (((|List| (|Fraction| (|Polynomial| |#1|))) (|List| (|Symbol|))) "\\spad{se2rfi(l)} converts \\spad{l} to target domain")) (|dmp2rfi| (((|List| (|Fraction| (|Polynomial| |#1|))) (|List| |#4|)) "\\spad{dmp2rfi(l)} converts \\spad{l} to target domain") (((|Matrix| (|Fraction| (|Polynomial| |#1|))) (|Matrix| |#4|)) "\\spad{dmp2rfi(m)} converts \\spad{m} to target domain") (((|Fraction| (|Polynomial| |#1|)) |#4|) "\\spad{dmp2rfi(p)} converts \\spad{p} to target domain")) (|bsolve| (((|Record| (|:| |rgl| (|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|)))))))))) (|:| |rgsz| (|Integer|))) (|Matrix| |#4|) (|List| (|Fraction| (|Polynomial| |#1|))) (|NonNegativeInteger|) (|String|) (|Integer|)) "\\spad{bsolve(c,{} w,{} r,{} s,{} m)} returns a list of regimes and solutions of the system \\spad{c} \\spad{z} = \\spad{w} for ranks at least \\spad{r}; depending on the mode \\spad{m} chosen,{} it writes the output to a file given by the string \\spad{s}.")) (|rdregime| (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|String|)) "\\spad{rdregime(s)} reads in a list from a file with name \\spad{s}")) (|wrregime| (((|Integer|) (|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|String|)) "\\spad{wrregime(l,{}s)} writes a list of regimes to a file named \\spad{s} and returns the number of regimes written")) (|psolve| (((|Integer|) (|Matrix| |#4|) (|PositiveInteger|) (|String|)) "\\spad{psolve(c,{}k,{}s)} solves \\spad{c} \\spad{z} = 0 for all possible ranks \\spad{>=} \\spad{k} of the matrix \\spad{c},{} writes the results to a file named \\spad{s},{} and returns the number of regimes") (((|Integer|) (|Matrix| |#4|) (|List| (|Symbol|)) (|PositiveInteger|) (|String|)) "\\spad{psolve(c,{}w,{}k,{}s)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks \\spad{>=} \\spad{k} of the matrix \\spad{c} and indeterminate right hand side \\spad{w},{} writes the results to a file named \\spad{s},{} and returns the number of regimes") (((|Integer|) (|Matrix| |#4|) (|List| |#4|) (|PositiveInteger|) (|String|)) "\\spad{psolve(c,{}w,{}k,{}s)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks \\spad{>=} \\spad{k} of the matrix \\spad{c} and given right hand side \\spad{w},{} writes the results to a file named \\spad{s},{} and returns the number of regimes") (((|Integer|) (|Matrix| |#4|) (|String|)) "\\spad{psolve(c,{}s)} solves \\spad{c} \\spad{z} = 0 for all possible ranks of the matrix \\spad{c} and given right hand side vector \\spad{w},{} writes the results to a file named \\spad{s},{} and returns the number of regimes") (((|Integer|) (|Matrix| |#4|) (|List| (|Symbol|)) (|String|)) "\\spad{psolve(c,{}w,{}s)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks of the matrix \\spad{c} and indeterminate right hand side \\spad{w},{} writes the results to a file named \\spad{s},{} and returns the number of regimes") (((|Integer|) (|Matrix| |#4|) (|List| |#4|) (|String|)) "\\spad{psolve(c,{}w,{}s)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks of the matrix \\spad{c} and given right hand side vector \\spad{w},{} writes the results to a file named \\spad{s},{} and returns the number of regimes") (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|Matrix| |#4|) (|PositiveInteger|)) "\\spad{psolve(c)} solves the homogeneous linear system \\spad{c} \\spad{z} = 0 for all possible ranks \\spad{>=} \\spad{k} of the matrix \\spad{c}") (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|Matrix| |#4|) (|List| (|Symbol|)) (|PositiveInteger|)) "\\spad{psolve(c,{}w,{}k)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks \\spad{>=} \\spad{k} of the matrix \\spad{c} and indeterminate right hand side \\spad{w}") (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|Matrix| |#4|) (|List| |#4|) (|PositiveInteger|)) "\\spad{psolve(c,{}w,{}k)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks \\spad{>=} \\spad{k} of the matrix \\spad{c} and given right hand side vector \\spad{w}") (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|Matrix| |#4|)) "\\spad{psolve(c)} solves the homogeneous linear system \\spad{c} \\spad{z} = 0 for all possible ranks of the matrix \\spad{c}") (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|Matrix| |#4|) (|List| (|Symbol|))) "\\spad{psolve(c,{}w)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks of the matrix \\spad{c} and indeterminate right hand side \\spad{w}") (((|List| (|Record| (|:| |eqzro| (|List| |#4|)) (|:| |neqzro| (|List| |#4|)) (|:| |wcond| (|List| (|Polynomial| |#1|))) (|:| |bsoln| (|Record| (|:| |partsol| (|Vector| (|Fraction| (|Polynomial| |#1|)))) (|:| |basis| (|List| (|Vector| (|Fraction| (|Polynomial| |#1|))))))))) (|Matrix| |#4|) (|List| |#4|)) "\\spad{psolve(c,{}w)} solves \\spad{c} \\spad{z} = \\spad{w} for all possible ranks of the matrix \\spad{c} and given right hand side vector \\spad{w}"))) 
 NIL 
 NIL 
-(-925 S) 
+(-926 S) 
 ((|constructor| (NIL "\\spad{PlotFunctions1} provides facilities for plotting curves where functions \\spad{SF} \\spad{->} \\spad{SF} are specified by giving an expression")) (|plotPolar| (((|Plot|) |#1| (|Symbol|)) "\\spad{plotPolar(f,{}theta)} plots the graph of \\spad{r = f(theta)} as \\spad{theta} ranges from 0 to 2 \\spad{pi}") (((|Plot|) |#1| (|Symbol|) (|Segment| (|DoubleFloat|))) "\\spad{plotPolar(f,{}theta,{}seg)} plots the graph of \\spad{r = f(theta)} as \\spad{theta} ranges over an interval")) (|plot| (((|Plot|) |#1| |#1| (|Symbol|) (|Segment| (|DoubleFloat|))) "\\spad{plot(f,{}g,{}t,{}seg)} plots the graph of \\spad{x = f(t)},{} \\spad{y = g(t)} as \\spad{t} ranges over an interval.") (((|Plot|) |#1| (|Symbol|) (|Segment| (|DoubleFloat|))) "\\spad{plot(fcn,{}x,{}seg)} plots the graph of \\spad{y = f(x)} on a interval"))) 
 NIL 
 NIL 
-(-926) 
+(-927) 
 ((|constructor| (NIL "Plot3D supports parametric plots defined over a real number system. A real number system is a model for the real numbers and as such may be an approximation. For example,{} floating point numbers and infinite continued fractions are real number systems. The facilities at this point are limited to 3-dimensional parametric plots.")) (|debug3D| (((|Boolean|) (|Boolean|)) "\\spad{debug3D(true)} turns debug mode on; debug3D(\\spad{false}) turns debug mode off.")) (|numFunEvals3D| (((|Integer|)) "\\spad{numFunEvals3D()} returns the number of points computed.")) (|setAdaptive3D| (((|Boolean|) (|Boolean|)) "\\spad{setAdaptive3D(true)} turns adaptive plotting on; setAdaptive3D(\\spad{false}) turns adaptive plotting off.")) (|adaptive3D?| (((|Boolean|)) "\\spad{adaptive3D?()} determines whether plotting be done adaptively.")) (|setScreenResolution3D| (((|Integer|) (|Integer|)) "\\spad{setScreenResolution3D(i)} sets the screen resolution for a 3d graph to \\spad{i}.")) (|screenResolution3D| (((|Integer|)) "\\spad{screenResolution3D()} returns the screen resolution for a 3d graph.")) (|setMaxPoints3D| (((|Integer|) (|Integer|)) "\\spad{setMaxPoints3D(i)} sets the maximum number of points in a plot to \\spad{i}.")) (|maxPoints3D| (((|Integer|)) "\\spad{maxPoints3D()} returns the maximum number of points in a plot.")) (|setMinPoints3D| (((|Integer|) (|Integer|)) "\\spad{setMinPoints3D(i)} sets the minimum number of points in a plot to \\spad{i}.")) (|minPoints3D| (((|Integer|)) "\\spad{minPoints3D()} returns the minimum number of points in a plot.")) (|tValues| (((|List| (|List| (|DoubleFloat|))) $) "\\spad{tValues(p)} returns a list of lists of the values of the parameter for which a point is computed,{} one list for each curve in the plot \\spad{p}.")) (|tRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{tRange(p)} returns the range of the parameter in a parametric plot \\spad{p}.")) (|refine| (($ $) "\\spad{refine(x)} is not documented") (($ $ (|Segment| (|DoubleFloat|))) "\\spad{refine(x,{}r)} is not documented")) (|zoom| (($ $ (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{zoom(x,{}r,{}s,{}t)} is not documented")) (|plot| (($ $ (|Segment| (|DoubleFloat|))) "\\spad{plot(x,{}r)} is not documented") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plot(f1,{}f2,{}f3,{}f4,{}x,{}y,{}z,{}w)} is not documented") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plot(f,{}g,{}h,{}a..b)} plots {/emx = \\spad{f}(\\spad{t}),{} \\spad{y} = \\spad{g}(\\spad{t}),{} \\spad{z} = \\spad{h}(\\spad{t})} as \\spad{t} ranges over {/em[a,{}\\spad{b}]}.")) (|pointPlot| (($ (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{pointPlot(f,{}x,{}y,{}z,{}w)} is not documented") (($ (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{pointPlot(f,{}g,{}h,{}a..b)} plots {/emx = \\spad{f}(\\spad{t}),{} \\spad{y} = \\spad{g}(\\spad{t}),{} \\spad{z} = \\spad{h}(\\spad{t})} as \\spad{t} ranges over {/em[a,{}\\spad{b}]}."))) 
 NIL 
 NIL 
-(-927) 
+(-928) 
 ((|constructor| (NIL "The Plot domain supports plotting of functions defined over a real number system. A real number system is a model for the real numbers and as such may be an approximation. For example floating point numbers and infinite continued fractions. The facilities at this point are limited to 2-dimensional plots or either a single function or a parametric function.")) (|debug| (((|Boolean|) (|Boolean|)) "\\spad{debug(true)} turns debug mode on \\spad{debug(false)} turns debug mode off")) (|numFunEvals| (((|Integer|)) "\\spad{numFunEvals()} returns the number of points computed")) (|setAdaptive| (((|Boolean|) (|Boolean|)) "\\spad{setAdaptive(true)} turns adaptive plotting on \\spad{setAdaptive(false)} turns adaptive plotting off")) (|adaptive?| (((|Boolean|)) "\\spad{adaptive?()} determines whether plotting be done adaptively")) (|setScreenResolution| (((|Integer|) (|Integer|)) "\\spad{setScreenResolution(i)} sets the screen resolution to \\spad{i}")) (|screenResolution| (((|Integer|)) "\\spad{screenResolution()} returns the screen resolution")) (|setMaxPoints| (((|Integer|) (|Integer|)) "\\spad{setMaxPoints(i)} sets the maximum number of points in a plot to \\spad{i}")) (|maxPoints| (((|Integer|)) "\\spad{maxPoints()} returns the maximum number of points in a plot")) (|setMinPoints| (((|Integer|) (|Integer|)) "\\spad{setMinPoints(i)} sets the minimum number of points in a plot to \\spad{i}")) (|minPoints| (((|Integer|)) "\\spad{minPoints()} returns the minimum number of points in a plot")) (|tRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{tRange(p)} returns the range of the parameter in a parametric plot \\spad{p}")) (|refine| (($ $) "\\spad{refine(p)} performs a refinement on the plot \\spad{p}") (($ $ (|Segment| (|DoubleFloat|))) "\\spad{refine(x,{}r)} is not documented")) (|zoom| (($ $ (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{zoom(x,{}r,{}s)} is not documented") (($ $ (|Segment| (|DoubleFloat|))) "\\spad{zoom(x,{}r)} is not documented")) (|parametric?| (((|Boolean|) $) "\\spad{parametric? determines} whether it is a parametric plot?")) (|plotPolar| (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) "\\spad{plotPolar(f)} plots the polar curve \\spad{r = f(theta)} as theta ranges over the interval \\spad{[0,{}2*\\%\\spad{pi}]}; this is the same as the parametric curve \\spad{x = f(t)*cos(t)},{} \\spad{y = f(t)*sin(t)}.") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plotPolar(f,{}a..b)} plots the polar curve \\spad{r = f(theta)} as theta ranges over the interval \\spad{[a,{}b]}; this is the same as the parametric curve \\spad{x = f(t)*cos(t)},{} \\spad{y = f(t)*sin(t)}.")) (|pointPlot| (($ (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{pointPlot(t +-> (f(t),{}g(t)),{}a..b,{}c..d,{}e..f)} plots the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)} as \\spad{t} ranges over the interval \\spad{[a,{}b]}; \\spad{x}-range of \\spad{[c,{}d]} and \\spad{y}-range of \\spad{[e,{}f]} are noted in Plot object.") (($ (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{pointPlot(t +-> (f(t),{}g(t)),{}a..b)} plots the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)} as \\spad{t} ranges over the interval \\spad{[a,{}b]}.")) (|plot| (($ $ (|Segment| (|DoubleFloat|))) "\\spad{plot(x,{}r)} is not documented") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plot(f,{}g,{}a..b,{}c..d,{}e..f)} plots the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)} as \\spad{t} ranges over the interval \\spad{[a,{}b]}; \\spad{x}-range of \\spad{[c,{}d]} and \\spad{y}-range of \\spad{[e,{}f]} are noted in Plot object.") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plot(f,{}g,{}a..b)} plots the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)} as \\spad{t} ranges over the interval \\spad{[a,{}b]}.") (($ (|List| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plot([f1,{}...,{}fm],{}a..b,{}c..d)} plots the functions \\spad{y = f1(x)},{}...,{} \\spad{y = fm(x)} on the interval \\spad{a..b}; \\spad{y}-range of \\spad{[c,{}d]} is noted in Plot object.") (($ (|List| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|DoubleFloat|))) "\\spad{plot([f1,{}...,{}fm],{}a..b)} plots the functions \\spad{y = f1(x)},{}...,{} \\spad{y = fm(x)} on the interval \\spad{a..b}.") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\spad{plot(f,{}a..b,{}c..d)} plots the function \\spad{f(x)} on the interval \\spad{[a,{}b]}; \\spad{y}-range of \\spad{[c,{}d]} is noted in Plot object.") (($ (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|))) "\\indented{1}{plot(\\spad{f},{}a..\\spad{b}) plots the function \\spad{f(x)}} \\indented{1}{on the interval \\spad{[a,{}b]}.} \\blankline \\spad{X} fp:=(t:DFLOAT):DFLOAT +-> sin(\\spad{t}) \\spad{X} plot(\\spad{fp},{}\\spad{-1}.0..1.0)\\$PLOT"))) 
 NIL 
 NIL 
-(-928) 
+(-929) 
 ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) 
 NIL 
 NIL 
-(-929 K |PolyRing| E -1965 |ProjPt|) 
+(-930 K |PolyRing| E -4391 |ProjPt|) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|multiplicity| (((|NonNegativeInteger|) |#2| |#5| (|Integer|)) "\\spad{multiplicity returns} the multiplicity of the polynomial at given point.") (((|NonNegativeInteger|) |#2| |#5|) "\\spad{multiplicity returns} the multiplicity of the polynomial at given point.")) (|minimalForm| ((|#2| |#2| |#5| (|Integer|)) "\\spad{minimalForm returns} the minimal form after translation to the origin.") ((|#2| |#2| |#5|) "\\spad{minimalForm returns} the minimal form after translation to the origin.")) (|translateToOrigin| ((|#2| |#2| |#5|) "\\spad{translateToOrigin translate} the polynomial from the given point to the origin") ((|#2| |#2| |#5| (|Integer|)) "\\spad{translateToOrigin translate} the polynomial from the given point to the origin")) (|eval| ((|#1| |#2| |#5|) "\\spad{eval returns} the value at given point.")) (|pointInIdeal?| (((|Boolean|) (|List| |#2|) |#5|) "\\spad{pointInIdeal? test} if the given point is in the algebraic set defined by the given list of polynomials."))) 
 NIL 
 NIL 
-(-930 R -1478) 
+(-931 R -1564) 
 ((|constructor| (NIL "Attaching assertions to symbols for pattern matching.")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|String|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
-(-931) 
+(-932) 
 ((|constructor| (NIL "Attaching assertions to symbols for pattern matching.")) (|multiple| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list.")) (|optional| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation)..")) (|constant| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity.")) (|assert| (((|Expression| (|Integer|)) (|Symbol|) (|String|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}."))) 
 NIL 
 NIL 
-(-932 S A B) 
+(-933 S A B) 
 ((|constructor| (NIL "This packages provides tools for matching recursively in type towers.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#2| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr,{} pat,{} res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches. Note that this function handles type towers by changing the predicates and calling the matching function provided by \\spad{A}.")) (|fixPredicate| (((|Mapping| (|Boolean|) |#2|) (|Mapping| (|Boolean|) |#3|)) "\\spad{fixPredicate(f)} returns \\spad{g} defined by \\spad{g}(a) = \\spad{f}(a::B)."))) 
 NIL 
 NIL 
-(-933 S R -1478) 
+(-934 S R -1564) 
 ((|constructor| (NIL "This package provides pattern matching functions on function spaces.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr,{} pat,{} res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
-(-934 I) 
+(-935 I) 
 ((|constructor| (NIL "This package provides pattern matching functions on integers.")) (|patternMatch| (((|PatternMatchResult| (|Integer|) |#1|) |#1| (|Pattern| (|Integer|)) (|PatternMatchResult| (|Integer|) |#1|)) "\\spad{patternMatch(n,{} pat,{} res)} matches the pattern \\spad{pat} to the integer \\spad{n}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
-(-935 S E) 
+(-936 S E) 
 ((|constructor| (NIL "This package provides pattern matching functions on kernels.")) (|patternMatch| (((|PatternMatchResult| |#1| |#2|) (|Kernel| |#2|) (|Pattern| |#1|) (|PatternMatchResult| |#1| |#2|)) "\\spad{patternMatch(f(e1,{}...,{}en),{} pat,{} res)} matches the pattern \\spad{pat} to \\spad{f(e1,{}...,{}en)}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
-(-936 S R L) 
+(-937 S R L) 
 ((|constructor| (NIL "This package provides pattern matching functions on lists.")) (|patternMatch| (((|PatternMatchListResult| |#1| |#2| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchListResult| |#1| |#2| |#3|)) "\\spad{patternMatch(l,{} pat,{} res)} matches the pattern \\spad{pat} to the list \\spad{l}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
-(-937 S E V R P) 
+(-938 S E V R P) 
 ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p,{} pat,{} res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p,{} pat,{} res,{} vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) 
 NIL 
-((|HasCategory| |#3| (LIST (QUOTE -881) (|devaluate| |#1|)))) 
-(-938 R -1478 -3192) 
+((|HasCategory| |#3| (LIST (QUOTE -882) (|devaluate| |#1|)))) 
+(-939 R -1564 -3022) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching.")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
-(-939 -3192) 
+(-940 -3022) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching.")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}."))) 
 NIL 
 NIL 
-(-940 S R Q) 
+(-941 S R Q) 
 ((|constructor| (NIL "This package provides pattern matching functions on quotients.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(a/b,{} pat,{} res)} matches the pattern \\spad{pat} to the quotient \\spad{a/b}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
-(-941 S) 
+(-942 S) 
 ((|constructor| (NIL "This package provides pattern matching functions on symbols.")) (|patternMatch| (((|PatternMatchResult| |#1| (|Symbol|)) (|Symbol|) (|Pattern| |#1|) (|PatternMatchResult| |#1| (|Symbol|))) "\\spad{patternMatch(expr,{} pat,{} res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches (necessary for recursion)."))) 
 NIL 
 NIL 
-(-942 S R P) 
+(-943 S R P) 
 ((|constructor| (NIL "This package provides tools for the pattern matcher.")) (|patternMatchTimes| (((|PatternMatchResult| |#1| |#3|) (|List| |#3|) (|List| (|Pattern| |#1|)) (|PatternMatchResult| |#1| |#3|) (|Mapping| (|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|))) "\\spad{patternMatchTimes(lsubj,{} lpat,{} res,{} match)} matches the product of patterns \\spad{reduce(*,{}lpat)} to the product of subjects \\spad{reduce(*,{}lsubj)}; \\spad{r} contains the previous matches and match is a pattern-matching function on \\spad{P}.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) (|List| |#3|) (|List| (|Pattern| |#1|)) (|Mapping| |#3| (|List| |#3|)) (|PatternMatchResult| |#1| |#3|) (|Mapping| (|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|))) "\\spad{patternMatch(lsubj,{} lpat,{} op,{} res,{} match)} matches the list of patterns \\spad{lpat} to the list of subjects \\spad{lsubj},{} allowing for commutativity; \\spad{op} is the operator such that \\spad{op}(\\spad{lpat}) should match \\spad{op}(\\spad{lsubj}) at the end,{} \\spad{r} contains the previous matches,{} and match is a pattern-matching function on \\spad{P}."))) 
 NIL 
 NIL 
-(-943) 
+(-944) 
 ((|constructor| (NIL "This package provides various polynomial number theoretic functions over the integers.")) (|legendre| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{legendre(n)} returns the \\spad{n}th Legendre polynomial \\spad{P[n](x)}. Note that Legendre polynomials,{} denoted \\spad{P[n](x)},{} are computed from the two term recurrence. The generating function is: \\spad{1/sqrt(1-2*t*x+t**2) = sum(P[n](x)*t**n,{} n=0..infinity)}.")) (|laguerre| (((|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{laguerre(n)} returns the \\spad{n}th Laguerre polynomial \\spad{L[n](x)}. Note that Laguerre polynomials,{} denoted \\spad{L[n](x)},{} are computed from the two term recurrence. The generating function is: \\spad{exp(x*t/(t-1))/(1-t) = sum(L[n](x)*t**n/n!,{} n=0..infinity)}.")) (|hermite| (((|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{hermite(n)} returns the \\spad{n}th Hermite polynomial \\spad{H[n](x)}. Note that Hermite polynomials,{} denoted \\spad{H[n](x)},{} are computed from the two term recurrence. The generating function is: \\spad{exp(2*t*x-t**2) = sum(H[n](x)*t**n/n!,{} n=0..infinity)}.")) (|fixedDivisor| (((|Integer|) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{fixedDivisor(a)} for \\spad{a(x)} in \\spad{Z[x]} is the largest integer \\spad{f} such that \\spad{f} divides \\spad{a(x=k)} for all integers \\spad{k}. Note that fixed divisor of \\spad{a} is \\spad{reduce(gcd,{}[a(x=k) for k in 0..degree(a)])}.")) (|euler| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler polynomial \\spad{E[n](x)}. Note that Euler polynomials denoted \\spad{E(n,{}x)} computed by solving the differential equation \\spad{differentiate(E(n,{}x),{}x) = n E(n-1,{}x)} where \\spad{E(0,{}x) = 1} and initial condition comes from \\spad{E(n) = 2**n E(n,{}1/2)}.")) (|cyclotomic| (((|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{cyclotomic(n)} returns the \\spad{n}th cyclotomic polynomial \\spad{phi[n](x)}. Note that \\spad{phi[n](x)} is the factor of \\spad{x**n - 1} whose roots are the primitive \\spad{n}th roots of unity.")) (|chebyshevU| (((|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{chebyshevU(n)} returns the \\spad{n}th Chebyshev polynomial \\spad{U[n](x)}. Note that Chebyshev polynomials of the second kind,{} denoted \\spad{U[n](x)},{} computed from the two term recurrence. The generating function \\spad{1/(1-2*t*x+t**2) = sum(T[n](x)*t**n,{} n=0..infinity)}.")) (|chebyshevT| (((|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{chebyshevT(n)} returns the \\spad{n}th Chebyshev polynomial \\spad{T[n](x)}. Note that Chebyshev polynomials of the first kind,{} denoted \\spad{T[n](x)},{} computed from the two term recurrence. The generating function \\spad{(1-t*x)/(1-2*t*x+t**2) = sum(T[n](x)*t**n,{} n=0..infinity)}.")) (|bernoulli| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli polynomial \\spad{B[n](x)}. Bernoulli polynomials denoted \\spad{B(n,{}x)} computed by solving the differential equation \\spad{differentiate(B(n,{}x),{}x) = n B(n-1,{}x)} where \\spad{B(0,{}x) = 1} and initial condition comes from \\spad{B(n) = B(n,{}0)}."))) 
 NIL 
 NIL 
-(-944 R) 
+(-945 R) 
 ((|constructor| (NIL "This domain implements points in coordinate space"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-716))) (|HasCategory| |#1| (QUOTE (-1047))) (-12 (|HasCategory| |#1| (QUOTE (-1002))) (|HasCategory| |#1| (QUOTE (-1047)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-945 |lv| R) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#1| (QUOTE (-1048))) (-12 (|HasCategory| |#1| (QUOTE (-1003))) (|HasCategory| |#1| (QUOTE (-1048)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-946 |lv| R) 
 ((|constructor| (NIL "Package with the conversion functions among different kind of polynomials")) (|pToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToDmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{DMP}.")) (|dmpToP| (((|Polynomial| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToP(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{POLY}.")) (|hdmpToP| (((|Polynomial| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToP(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{POLY}.")) (|pToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToHdmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{HDMP}.")) (|hdmpToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToDmp(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{DMP}.")) (|dmpToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToHdmp(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{HDMP}."))) 
 NIL 
 NIL 
-(-946 |TheField| |ThePols|) 
+(-947 |TheField| |ThePols|) 
 ((|constructor| (NIL "\\axiomType{RealPolynomialUtilitiesPackage} provides common functions used by interval coding.")) (|lazyVariations| (((|NonNegativeInteger|) (|List| |#1|) (|Integer|) (|Integer|)) "\\axiom{lazyVariations(\\spad{l},{}\\spad{s1},{}\\spad{sn})} is the number of sign variations in the list of non null numbers [s1::l]\\spad{@sn},{}")) (|sturmVariationsOf| (((|NonNegativeInteger|) (|List| |#1|)) "\\axiom{sturmVariationsOf(\\spad{l})} is the number of sign variations in the list of numbers \\spad{l},{} note that the first term counts as a sign")) (|boundOfCauchy| ((|#1| |#2|) "\\axiom{boundOfCauchy(\\spad{p})} bounds the roots of \\spad{p}")) (|sturmSequence| (((|List| |#2|) |#2|) "\\axiom{sturmSequence(\\spad{p}) = sylvesterSequence(\\spad{p},{}\\spad{p'})}")) (|sylvesterSequence| (((|List| |#2|) |#2| |#2|) "\\axiom{sylvesterSequence(\\spad{p},{}\\spad{q})} is the negated remainder sequence of \\spad{p} and \\spad{q} divided by the last computed term"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-840)))) 
-(-947 R S) 
+((|HasCategory| |#1| (QUOTE (-841)))) 
+(-948 R S) 
 ((|constructor| (NIL "This package takes a mapping between coefficient rings,{} and lifts it to a mapping between polynomials over those rings.")) (|map| (((|Polynomial| |#2|) (|Mapping| |#2| |#1|) (|Polynomial| |#1|)) "\\spad{map(f,{} p)} produces a new polynomial as a result of applying the function \\spad{f} to every coefficient of the polynomial \\spad{p}."))) 
 NIL 
 NIL 
-(-948 |x| R) 
+(-949 |x| R) 
 ((|constructor| (NIL "This package is primarily to help the interpreter do coercions. It allows you to view a polynomial as a univariate polynomial in one of its variables with coefficients which are again a polynomial in all the other variables.")) (|univariate| (((|UnivariatePolynomial| |#1| (|Polynomial| |#2|)) (|Polynomial| |#2|) (|Variable| |#1|)) "\\spad{univariate(p,{} x)} converts the polynomial \\spad{p} to a one of type \\spad{UnivariatePolynomial(x,{}Polynomial(R))},{} ie. as a member of \\spad{R[...][x]}."))) 
 NIL 
 NIL 
-(-949 S R E |VarSet|) 
+(-950 S R E |VarSet|) 
 ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#4|) "\\spad{primitivePart(p,{}v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#4|) "\\spad{content(p,{}v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#4|) "\\spad{discriminant(p,{}v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#4|) "\\spad{resultant(p,{}q,{}v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note that \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),{}...,{}X^(n)]}.")) (|variables| (((|List| |#4|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#4|)) "\\spad{totalDegree(p,{} lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#4|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#4|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#2|) |#4|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,{}[v1..vn],{}[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#4| (|NonNegativeInteger|)) "\\spad{monomial(a,{}x,{}n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\spad{monicDivide(a,{}b,{}v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#4|)) "\\spad{minimumDegree(p,{} lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#4|) "\\spad{minimumDegree(p,{}v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#4| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#4|) "\\spad{univariate(p,{}v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),{}...,{}a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p,{} lv,{} ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#4| (|NonNegativeInteger|)) "\\spad{coefficient(p,{}v,{}n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#4|)) "\\spad{degree(p,{}lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#4|) "\\spad{degree(p,{}v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-904))) (|HasAttribute| |#2| (QUOTE -4519)) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#4| (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#4| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#4| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#4| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-842)))) 
-(-950 R E |VarSet|) 
+((|HasCategory| |#2| (QUOTE (-905))) (|HasAttribute| |#2| (QUOTE -4533)) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#4| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#4| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#4| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#4| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#4| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-843)))) 
+(-951 R E |VarSet|) 
 ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,{}v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,{}v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,{}v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,{}q,{}v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note that \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),{}...,{}X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p,{} lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,{}[v1..vn],{}[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,{}x,{}n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,{}b,{}v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p,{} lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,{}v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,{}v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),{}...,{}a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p,{} lv,{} ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,{}v,{}n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,{}lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,{}v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-951 E V R P -1478) 
+(-952 E V R P -1564) 
 ((|constructor| (NIL "Manipulations on polynomial quotients This package transforms multivariate polynomials or fractions into univariate polynomials or fractions,{} and back.")) (|isPower| (((|Union| (|Record| (|:| |val| |#5|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isPower(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#2|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = a1 ... an} and \\spad{n > 1},{} \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isPlus(p)} returns [\\spad{m1},{}...,{}\\spad{mn}] if \\spad{p = m1 + ... + mn} and \\spad{n > 1},{} \"failed\" otherwise.")) (|multivariate| ((|#5| (|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#2|) "\\spad{multivariate(f,{} v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|SparseUnivariatePolynomial| |#5|) |#5| |#2| (|SparseUnivariatePolynomial| |#5|)) "\\spad{univariate(f,{} x,{} p)} returns \\spad{f} viewed as a univariate polynomial in \\spad{x},{} using the side-condition \\spad{p(x) = 0}.") (((|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#5| |#2|) "\\spad{univariate(f,{} v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| |#2| "failed") |#5|) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| |#2|) |#5|) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}."))) 
 NIL 
 NIL 
-(-952 E |Vars| R P S) 
+(-953 E |Vars| R P S) 
 ((|constructor| (NIL "This package provides a very general map function,{} which given a set \\spad{S} and polynomials over \\spad{R} with maps from the variables into \\spad{S} and the coefficients into \\spad{S},{} maps polynomials into \\spad{S}. \\spad{S} is assumed to support \\spad{+},{} \\spad{*} and \\spad{**}.")) (|map| ((|#5| (|Mapping| |#5| |#2|) (|Mapping| |#5| |#3|) |#4|) "\\spad{map(varmap,{} coefmap,{} p)} takes a \\spad{varmap},{} a mapping from the variables of polynomial \\spad{p} into \\spad{S},{} \\spad{coefmap},{} a mapping from coefficients of \\spad{p} into \\spad{S},{} and \\spad{p},{} and produces a member of \\spad{S} using the corresponding arithmetic. in \\spad{S}"))) 
 NIL 
 NIL 
-(-953 R) 
+(-954 R) 
 ((|constructor| (NIL "This type is the basic representation of sparse recursive multivariate polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,{}x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-904))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (-12 (|HasCategory| (-1161) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-1161) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-1161) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-1161) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-1161) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#1| (QUOTE -4519)) (|HasCategory| |#1| (QUOTE (-453))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (|HasCategory| |#1| (QUOTE (-148))))) 
-(-954 E V R P -1478) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
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+(-955 E V R P -1564) 
 ((|constructor| (NIL "Computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,{}n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f,{} n)} returns \\spad{[m,{}c,{}r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f,{} n)} returns \\spad{[m,{}c,{}r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f,{} n)} returns \\spad{[m,{}c,{}r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|coerce| (($ |#4|) "\\spad{coerce(p)} \\undocumented")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented"))) 
 NIL 
-((|HasCategory| |#3| (QUOTE (-453)))) 
-(-955) 
+((|HasCategory| |#3| (QUOTE (-454)))) 
+(-956) 
 ((|constructor| (NIL "PlottablePlaneCurveCategory is the category of curves in the plane which may be plotted via the graphics facilities. Functions are provided for obtaining lists of lists of points,{} representing the branches of the curve,{} and for determining the ranges of the \\spad{x}-coordinates and \\spad{y}-coordinates of the points on the curve.")) (|yRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{yRange(c)} returns the range of the \\spad{y}-coordinates of the points on the curve \\spad{c}.")) (|xRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{xRange(c)} returns the range of the \\spad{x}-coordinates of the points on the curve \\spad{c}.")) (|listBranches| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listBranches(c)} returns a list of lists of points,{} representing the branches of the curve \\spad{c}."))) 
 NIL 
 NIL 
-(-956 R L) 
+(-957 R L) 
 ((|constructor| (NIL "\\spadtype{PrecomputedAssociatedEquations} stores some generic precomputations which speed up the computations of the associated equations needed for factoring operators.")) (|firstUncouplingMatrix| (((|Union| (|Matrix| |#1|) "failed") |#2| (|PositiveInteger|)) "\\spad{firstUncouplingMatrix(op,{} m)} returns the matrix A such that \\spad{A w = (W',{}W'',{}...,{}W^N)} in the corresponding associated equations for right-factors of order \\spad{m} of \\spad{op}. Returns \"failed\" if the matrix A has not been precomputed for the particular combination \\spad{degree(L),{} m}."))) 
 NIL 
 NIL 
-(-957 A B) 
+(-958 A B) 
 ((|constructor| (NIL "This package provides tools for operating on primitive arrays with unary and binary functions involving different underlying types")) (|map| (((|PrimitiveArray| |#2|) (|Mapping| |#2| |#1|) (|PrimitiveArray| |#1|)) "\\indented{1}{map(\\spad{f},{}a) applies function \\spad{f} to each member of primitive array} \\indented{1}{\\spad{a} resulting in a new primitive array over a} \\indented{1}{possibly different underlying domain.} \\blankline \\spad{X} \\spad{T1:=PrimitiveArrayFunctions2}(Integer,{}Integer) \\spad{X} map(\\spad{x+}-\\spad{>x+2},{}[\\spad{i} for \\spad{i} in 1..10])\\$\\spad{T1}")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|PrimitiveArray| |#1|) |#2|) "\\indented{1}{reduce(\\spad{f},{}a,{}\\spad{r}) applies function \\spad{f} to each} \\indented{1}{successive element of the} \\indented{1}{primitive array \\spad{a} and an accumulant initialized to \\spad{r}.} \\indented{1}{For example,{} \\spad{reduce(_+\\$Integer,{}[1,{}2,{}3],{}0)}} \\indented{1}{does \\spad{3+(2+(1+0))}. Note that third argument \\spad{r}} \\indented{1}{may be regarded as the identity element for the function \\spad{f}.} \\blankline \\spad{X} \\spad{T1:=PrimitiveArrayFunctions2}(Integer,{}Integer) \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} reduce(adder,{}[\\spad{i} for \\spad{i} in 1..10],{}0)\\$\\spad{T1}")) (|scan| (((|PrimitiveArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|PrimitiveArray| |#1|) |#2|) "\\indented{1}{scan(\\spad{f},{}a,{}\\spad{r}) successively applies} \\indented{1}{\\spad{reduce(f,{}x,{}r)} to more and more leading sub-arrays} \\indented{1}{\\spad{x} of primitive array \\spad{a}.} \\indented{1}{More precisely,{} if \\spad{a} is \\spad{[a1,{}a2,{}...]},{} then} \\indented{1}{\\spad{scan(f,{}a,{}r)} returns} \\indented{1}{\\spad{[reduce(f,{}[a1],{}r),{}reduce(f,{}[a1,{}a2],{}r),{}...]}.} \\blankline \\spad{X} \\spad{T1:=PrimitiveArrayFunctions2}(Integer,{}Integer) \\spad{X} adder(a:Integer,{}b:Integer):Integer \\spad{==} a+b \\spad{X} scan(adder,{}[\\spad{i} for \\spad{i} in 1..10],{}0)\\$\\spad{T1}"))) 
 NIL 
 NIL 
-(-958 S) 
+(-959 S) 
 ((|constructor| (NIL "This provides a fast array type with no bound checking on elt\\spad{'s}. Minimum index is 0 in this type,{} cannot be changed"))) 
-((-4522 . T) (-4521 . T)) 
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-(-959) 
+((-4536 . T) (-4535 . T)) 
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+(-960) 
 ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f,{} x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f,{} x)} returns the formal integral of \\spad{f} \\spad{dx}."))) 
 NIL 
 NIL 
-(-960 -1478) 
+(-961 -1564) 
 ((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,{}...,{}pn],{} [a1,{}...,{}an],{} a)} returns \\spad{[[c1,{}...,{}cn],{} [q1,{}...,{}qn],{} q]} such that then \\spad{k(a1,{}...,{}an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,{}...,{}pn],{} [a1,{}...,{}an])} returns \\spad{[[c1,{}...,{}cn],{} [q1,{}...,{}qn],{} q]} such that then \\spad{k(a1,{}...,{}an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1,{} a1,{} p2,{} a2)} returns \\spad{[c1,{} c2,{} q]} such that \\spad{k(a1,{} a2) = k(a)} where \\spad{a = c1 a1 + c2 a2,{} and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve \\spad{a2}. This operation uses \\spadfun{resultant}."))) 
 NIL 
 NIL 
-(-961 I) 
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 ((|constructor| (NIL "The \\spadtype{IntegerPrimesPackage} implements a modification of Rabin\\spad{'s} probabilistic primality test and the utility functions \\spadfun{nextPrime},{} \\spadfun{prevPrime} and \\spadfun{primes}.")) (|primes| (((|List| |#1|) |#1| |#1|) "\\spad{primes(a,{}b)} returns a list of all primes \\spad{p} with \\spad{a <= p <= b}")) (|prevPrime| ((|#1| |#1|) "\\spad{prevPrime(n)} returns the largest prime strictly smaller than \\spad{n}")) (|nextPrime| ((|#1| |#1|) "\\spad{nextPrime(n)} returns the smallest prime strictly larger than \\spad{n}")) (|prime?| (((|Boolean|) |#1|) "\\spad{prime?(n)} returns \\spad{true} if \\spad{n} is prime and \\spad{false} if not. The algorithm used is Rabin\\spad{'s} probabilistic primality test (reference: Knuth Volume 2 Semi Numerical Algorithms). If \\spad{prime? n} returns \\spad{false},{} \\spad{n} is proven composite. If \\spad{prime? n} returns \\spad{true},{} prime? may be in error however,{} the probability of error is very low. and is zero below 25*10**9 (due to a result of Pomerance et al),{} below 10**12 and 10**13 due to results of Pinch,{} and below 341550071728321 due to a result of Jaeschke. Specifically,{} this implementation does at least 10 pseudo prime tests and so the probability of error is \\spad{< 4**(-10)}. The running time of this method is cubic in the length of the input \\spad{n},{} that is \\spad{O( (log n)**3 )},{} for \\spad{n<10**20}. beyond that,{} the algorithm is quartic,{} \\spad{O( (log n)**4 )}. Two improvements due to Davenport have been incorporated which catches some trivial strong pseudo-primes,{} such as [Jaeschke,{} 1991] 1377161253229053 * 413148375987157,{} which the original algorithm regards as prime"))) 
 NIL 
 NIL 
-(-962) 
+(-963) 
 ((|constructor| (NIL "PrintPackage provides a print function for output forms.")) (|print| (((|Void|) (|OutputForm|)) "\\spad{print(o)} writes the output form \\spad{o} on standard output using the two-dimensional formatter."))) 
 NIL 
 NIL 
-(-963 K |symb| |PolyRing| E |ProjPt|) 
+(-964 K |symb| |PolyRing| E |ProjPt|) 
 ((|constructor| (NIL "The following is part of the PAFF package")) (|rationalPoints| (((|List| |#5|) |#3| (|PositiveInteger|)) "\\axiom{rationalPoints(\\spad{f},{}\\spad{d})} returns all points on the curve \\axiom{\\spad{f}} in the extension of the ground field of degree \\axiom{\\spad{d}}. For \\axiom{\\spad{d} > 1} this only works if \\axiom{\\spad{K}} is a \\axiomType{LocallyAlgebraicallyClosedField}")) (|algebraicSet| (((|List| |#5|) (|List| |#3|)) "\\spad{algebraicSet returns} the algebraic set if finite (dimension 0).")) (|singularPoints| (((|List| |#5|) |#3|) "\\spad{singularPoints retourne} les points singulier")) (|singularPointsWithRestriction| (((|List| |#5|) |#3| (|List| |#3|)) "return the singular points that anhilate"))) 
 NIL 
 NIL 
-(-964 R E) 
+(-965 R E) 
 ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{x} : \\spad{p1} - \\spad{r} * x**e * \\spad{p2}"))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4515 . T) (-4516 . T) (-4518 . T)) 
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-(-965 A B) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-454))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-138)))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#1| (QUOTE -4533))) 
+(-966 A B) 
 ((|constructor| (NIL "This domain implements cartesian product")) (|selectsecond| ((|#2| $) "\\spad{selectsecond(x)} is not documented")) (|selectfirst| ((|#1| $) "\\spad{selectfirst(x)} is not documented")) (|makeprod| (($ |#1| |#2|) "\\indented{1}{makeprod(a,{}\\spad{b}) computes the product of two functions} \\blankline \\spad{X} \\spad{f:=}(x:INT):INT +-> 3*x \\spad{X} \\spad{g:=}(x:INT):INT +-> \\spad{x^3} \\spad{X} \\spad{h}(x:INT):Product(INT,{}INT) \\spad{==} makeprod(\\spad{f} \\spad{x},{} \\spad{g} \\spad{x}) \\spad{X} \\spad{h}(3)"))) 
-((-4518 -12 (|has| |#2| (-478)) (|has| |#1| (-478)))) 
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-(-966 K) 
+((-4532 -12 (|has| |#2| (-479)) (|has| |#1| (-479)))) 
+((-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789)))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#2| (QUOTE (-371)))) (-12 (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#2| (QUOTE (-717)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#2| (QUOTE (-717))))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-138)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-138)))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789))))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-138)))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789))))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-138)))) (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#2| (QUOTE (-717)))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789))))) (-12 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-843)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789)))) (-12 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-843)))))) 
+(-967 K) 
 ((|constructor| (NIL "This is part of the PAFF package,{} related to projective space."))) 
 NIL 
 NIL 
-(-967 K) 
+(-968 K) 
 ((|constructor| (NIL "This is part of the PAFF package,{} related to projective space."))) 
 NIL 
 NIL 
-(-968 -1965 K) 
+(-969 -4391 K) 
 ((|constructor| (NIL "This is part of the PAFF package,{} related to projective space."))) 
 NIL 
 NIL 
-(-969 S) 
+(-970 S) 
 ((|constructor| (NIL "A priority queue is a bag of items from an ordered set where the item extracted is always the maximum element.")) (|merge!| (($ $ $) "\\spad{merge!(q,{}q1)} destructively changes priority queue \\spad{q} to include the values from priority queue \\spad{q1}.")) (|merge| (($ $ $) "\\spad{merge(q1,{}q2)} returns combines priority queues \\spad{q1} and \\spad{q2} to return a single priority queue \\spad{q}.")) (|max| ((|#1| $) "\\spad{max(q)} returns the maximum element of priority queue \\spad{q}."))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-970 R |polR|) 
+(-971 R |polR|) 
 ((|constructor| (NIL "This package contains some functions: discriminant,{} resultant,{} subResultantGcd,{} chainSubResultants,{} degreeSubResultant,{} lastSubResultant,{} resultantEuclidean,{} subResultantGcdEuclidean,{} \\spad{semiSubResultantGcdEuclidean1},{} \\spad{semiSubResultantGcdEuclidean2}\\spad{\\br} These procedures come from improvements of the subresultants algorithm.")) (|semiResultantEuclideannaif| (((|Record| (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the semi-extended resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|resultantEuclideannaif| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the extended resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|resultantnaif| ((|#1| |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|nextsousResultant2| ((|#2| |#2| |#2| |#2| |#1|) "\\axiom{\\spad{nextsousResultant2}(\\spad{P},{} \\spad{Q},{} \\spad{Z},{} \\spad{s})} returns the subresultant \\axiom{\\spad{S_}{\\spad{e}-1}} where \\axiom{\\spad{P} ~ \\spad{S_d},{} \\spad{Q} = \\spad{S_}{\\spad{d}-1},{} \\spad{Z} = S_e,{} \\spad{s} = \\spad{lc}(\\spad{S_d})}")) (|Lazard2| ((|#2| |#2| |#1| |#1| (|NonNegativeInteger|)) "\\axiom{\\spad{Lazard2}(\\spad{F},{} \\spad{x},{} \\spad{y},{} \\spad{n})} computes \\axiom{(x/y)\\spad{**}(\\spad{n}-1) * \\spad{F}}")) (|Lazard| ((|#1| |#1| |#1| (|NonNegativeInteger|)) "\\axiom{Lazard(\\spad{x},{} \\spad{y},{} \\spad{n})} computes \\axiom{x**n/y**(\\spad{n}-1)}")) (|divide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2|) "\\axiom{divide(\\spad{F},{}\\spad{G})} computes quotient and rest of the exact euclidean division of \\axiom{\\spad{F}} by \\axiom{\\spad{G}}.")) (|pseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2|) "\\axiom{pseudoDivide(\\spad{P},{}\\spad{Q})} computes the pseudoDivide of \\axiom{\\spad{P}} by \\axiom{\\spad{Q}}.")) (|exquo| (((|Vector| |#2|) (|Vector| |#2|) |#1|) "\\axiom{\\spad{v} exquo \\spad{r}} computes the exact quotient of \\axiom{\\spad{v}} by \\axiom{\\spad{r}}")) (* (((|Vector| |#2|) |#1| (|Vector| |#2|)) "\\axiom{\\spad{r} * \\spad{v}} computes the product of \\axiom{\\spad{r}} and \\axiom{\\spad{v}}")) (|gcd| ((|#2| |#2| |#2|) "\\axiom{\\spad{gcd}(\\spad{P},{} \\spad{Q})} returns the \\spad{gcd} of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiResultantReduitEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |resultantReduit| |#1|)) |#2| |#2|) "\\axiom{semiResultantReduitEuclidean(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" and carries out the equality \\axiom{...\\spad{P} + coef2*Q = resultantReduit(\\spad{P},{}\\spad{Q})}.")) (|resultantReduitEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultantReduit| |#1|)) |#2| |#2|) "\\axiom{resultantReduitEuclidean(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" and carries out the equality \\axiom{coef1*P + coef2*Q = resultantReduit(\\spad{P},{}\\spad{Q})}.")) (|resultantReduit| ((|#1| |#2| |#2|) "\\axiom{resultantReduit(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|schema| (((|List| (|NonNegativeInteger|)) |#2| |#2|) "\\axiom{schema(\\spad{P},{}\\spad{Q})} returns the list of degrees of non zero subresultants of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|chainSubResultants| (((|List| |#2|) |#2| |#2|) "\\axiom{chainSubResultants(\\spad{P},{} \\spad{Q})} computes the list of non zero subresultants of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiDiscriminantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |discriminant| |#1|)) |#2|) "\\axiom{discriminantEuclidean(\\spad{P})} carries out the equality \\axiom{...\\spad{P} + \\spad{coef2} * \\spad{D}(\\spad{P}) = discriminant(\\spad{P})}. Warning. \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|discriminantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |discriminant| |#1|)) |#2|) "\\axiom{discriminantEuclidean(\\spad{P})} carries out the equality \\axiom{\\spad{coef1} * \\spad{P} + \\spad{coef2} * \\spad{D}(\\spad{P}) = discriminant(\\spad{P})}.")) (|discriminant| ((|#1| |#2|) "\\axiom{discriminant(\\spad{P},{} \\spad{Q})} returns the discriminant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiSubResultantGcdEuclidean1| (((|Record| (|:| |coef1| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{\\spad{semiSubResultantGcdEuclidean1}(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + ? \\spad{Q} = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible.")) (|semiSubResultantGcdEuclidean2| (((|Record| (|:| |coef2| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{\\spad{semiSubResultantGcdEuclidean2}(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{...\\spad{P} + coef2*Q = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible. Warning. \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|subResultantGcdEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{subResultantGcdEuclidean(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + coef2*Q = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible.")) (|subResultantGcd| ((|#2| |#2| |#2|) "\\axiom{subResultantGcd(\\spad{P},{} \\spad{Q})} returns the \\spad{gcd} of two primitive polynomials \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiLastSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2|) "\\axiom{semiLastSubResultantEuclidean(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant \\axiom{\\spad{S}} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = \\spad{S}}. Warning. \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|lastSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2|) "\\axiom{lastSubResultantEuclidean(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant \\axiom{\\spad{S}} and carries out the equality \\axiom{coef1*P + coef2*Q = \\spad{S}}.")) (|lastSubResultant| ((|#2| |#2| |#2|) "\\axiom{lastSubResultant(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}")) (|semiDegreeSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns a subresultant \\axiom{\\spad{S}} of degree \\axiom{\\spad{d}} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = S_i}. Warning. \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|degreeSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns a subresultant \\axiom{\\spad{S}} of degree \\axiom{\\spad{d}} and carries out the equality \\axiom{coef1*P + coef2*Q = S_i}.")) (|degreeSubResultant| ((|#2| |#2| |#2| (|NonNegativeInteger|)) "\\axiom{degreeSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{d})} computes a subresultant of degree \\axiom{\\spad{d}}.")) (|semiIndiceSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{semiIndiceSubResultantEuclidean(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = S_i(\\spad{P},{}\\spad{Q})} Warning. \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|indiceSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} and carries out the equality \\axiom{coef1*P + coef2*Q = S_i(\\spad{P},{}\\spad{Q})}")) (|indiceSubResultant| ((|#2| |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant of indice \\axiom{\\spad{i}}")) (|semiResultantEuclidean1| (((|Record| (|:| |coef1| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{\\spad{semiResultantEuclidean1}(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{\\spad{coef1}.\\spad{P} + ? \\spad{Q} = resultant(\\spad{P},{}\\spad{Q})}.")) (|semiResultantEuclidean2| (((|Record| (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{\\spad{semiResultantEuclidean2}(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{...\\spad{P} + coef2*Q = resultant(\\spad{P},{}\\spad{Q})}. Warning. \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|resultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + coef2*Q = resultant(\\spad{P},{}\\spad{Q})}")) (|resultant| ((|#1| |#2| |#2|) "\\axiom{resultant(\\spad{P},{} \\spad{Q})} returns the resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-453)))) 
-(-971 K) 
+((|HasCategory| |#1| (QUOTE (-454)))) 
+(-972 K) 
 ((|constructor| (NIL "This is part of the PAFF package,{} related to projective space.")) (|pointValue| (((|List| |#1|) $) "\\spad{pointValue returns} the coordinates of the point or of the point of origin that represent an infinitly close point")) (|setelt| ((|#1| $ (|Integer|) |#1|) "\\spad{setelt sets} the value of a specified coordinates")) (|elt| ((|#1| $ (|Integer|)) "\\spad{elt returns} the value of a specified coordinates")) (|list| (((|List| |#1|) $) "\\spad{list returns} the list of the coordinates")) (|lastNonNull| (((|Integer|) $) "\\spad{lastNonNull returns} the integer corresponding to the last non null coordinates.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(p)} test if the point is rational according to the characteristic of the ground field.") (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{rational?(p,{}n)} test if the point is rational according to \\spad{n}.")) (|removeConjugate| (((|List| $) (|List| $)) "\\spad{removeConjugate(lp)} returns removeConjugate(\\spad{lp},{}\\spad{n}) where \\spad{n} is the characteristic of the ground field.") (((|List| $) (|List| $) (|NonNegativeInteger|)) "\\spad{removeConjugate(lp,{}n)} returns a list of points such that no points in the list is the conjugate (according to \\spad{n}) of another point.")) (|conjugate| (($ $) "\\spad{conjugate(p)} returns conjugate(\\spad{p},{}\\spad{n}) where \\spad{n} is the characteristic of the ground field.") (($ $ (|NonNegativeInteger|)) "\\spad{conjugate(p,{}n)} returns p**n,{} that is all the coordinates of \\spad{p} to the power of \\spad{n}")) (|orbit| (((|List| $) $ (|NonNegativeInteger|)) "\\spad{orbit(p,{}n)} returns the orbit of the point \\spad{p} according to \\spad{n},{} that is orbit(\\spad{p},{}\\spad{n}) = \\spad{\\{} \\spad{p},{} p**n,{} \\spad{p**}(\\spad{n**2}),{} \\spad{p**}(\\spad{n**3}),{} ..... \\spad{\\}}") (((|List| $) $) "\\spad{orbit(p)} returns the orbit of the point \\spad{p} according to the characteristic of \\spad{K},{} that is,{} for \\spad{q=} char \\spad{K},{} orbit(\\spad{p}) = \\spad{\\{} \\spad{p},{} p**q,{} \\spad{p**}(\\spad{q**2}),{} \\spad{p**}(\\spad{q**3}),{} ..... \\spad{\\}}")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce a} list of \\spad{K} to a projective point.") (((|List| |#1|) $) "\\spad{coerce a} a projective point list of \\spad{K}")) (|projectivePoint| (($ (|List| |#1|)) "\\spad{projectivePoint creates} a projective point from a list")) (|homogenize| (($ $) "\\spad{homogenize(pt)} the point according to the coordinate which is the last non null.") (($ $ (|Integer|)) "\\spad{homogenize the} point according to the coordinate specified by the integer"))) 
 NIL 
 NIL 
-(-972) 
+(-973) 
 ((|constructor| (NIL "Domain for partitions of positive integers Partition is an OrderedCancellationAbelianMonoid which is used as the basis for symmetric polynomial representation of the sums of powers in SymmetricPolynomial. Thus,{} \\spad{(5 2 2 1)} will represent \\spad{s5 * s2**2 * s1}.")) (|coerce| (((|List| (|Integer|)) $) "\\spad{coerce(p)} coerces a partition into a list of integers")) (|conjugate| (($ $) "\\spad{conjugate(p)} returns the conjugate partition of a partition \\spad{p}")) (|pdct| (((|Integer|) $) "\\spad{pdct(a1**n1 a2**n2 ...)} returns \\spad{n1! * a1**n1 * n2! * a2**n2 * ...}. This function is used in the package \\spadtype{CycleIndicators}.")) (|powers| (((|List| (|List| (|Integer|))) (|List| (|Integer|))) "\\spad{powers(\\spad{li})} returns a list of 2-element lists. For each 2-element list,{} the first element is an entry of \\spad{li} and the second element is the multiplicity with which the first element occurs in \\spad{li}. There is a 2-element list for each value occurring in \\spad{l}.")) (|partition| (($ (|List| (|Integer|))) "\\spad{partition(\\spad{li})} converts a list of integers \\spad{li} to a partition"))) 
 NIL 
 NIL 
-(-973 S |Coef| |Expon| |Var|) 
+(-974 S |Coef| |Expon| |Var|) 
 ((|constructor| (NIL "\\spadtype{PowerSeriesCategory} is the most general power series category with exponents in an ordered abelian monoid.")) (|complete| (($ $) "\\spad{complete(f)} causes all terms of \\spad{f} to be computed. Note that this results in an infinite loop if \\spad{f} has infinitely many terms.")) (|pole?| (((|Boolean|) $) "\\spad{pole?(f)} determines if the power series \\spad{f} has a pole.")) (|variables| (((|List| |#4|) $) "\\spad{variables(f)} returns a list of the variables occuring in the power series \\spad{f}.")) (|degree| ((|#3| $) "\\spad{degree(f)} returns the exponent of the lowest order term of \\spad{f}.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(f)} returns the coefficient of the lowest order term of \\spad{f}")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(f)} returns the monomial of \\spad{f} of lowest order.")) (|monomial| (($ $ (|List| |#4|) (|List| |#3|)) "\\spad{monomial(a,{}[x1,{}..,{}xk],{}[n1,{}..,{}nk])} computes \\spad{a * x1**n1 * .. * xk**nk}.") (($ $ |#4| |#3|) "\\spad{monomial(a,{}x,{}n)} computes \\spad{a*x**n}."))) 
 NIL 
 NIL 
-(-974 |Coef| |Expon| |Var|) 
+(-975 |Coef| |Expon| |Var|) 
 ((|constructor| (NIL "\\spadtype{PowerSeriesCategory} is the most general power series category with exponents in an ordered abelian monoid.")) (|complete| (($ $) "\\spad{complete(f)} causes all terms of \\spad{f} to be computed. Note that this results in an infinite loop if \\spad{f} has infinitely many terms.")) (|pole?| (((|Boolean|) $) "\\spad{pole?(f)} determines if the power series \\spad{f} has a pole.")) (|variables| (((|List| |#3|) $) "\\spad{variables(f)} returns a list of the variables occuring in the power series \\spad{f}.")) (|degree| ((|#2| $) "\\spad{degree(f)} returns the exponent of the lowest order term of \\spad{f}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(f)} returns the coefficient of the lowest order term of \\spad{f}")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(f)} returns the monomial of \\spad{f} of lowest order.")) (|monomial| (($ $ (|List| |#3|) (|List| |#2|)) "\\spad{monomial(a,{}[x1,{}..,{}xk],{}[n1,{}..,{}nk])} computes \\spad{a * x1**n1 * .. * xk**nk}.") (($ $ |#3| |#2|) "\\spad{monomial(a,{}x,{}n)} computes \\spad{a*x**n}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-975) 
+(-976) 
 ((|constructor| (NIL "PlottableSpaceCurveCategory is the category of curves in 3-space which may be plotted via the graphics facilities. Functions are provided for obtaining lists of lists of points,{} representing the branches of the curve,{} and for determining the ranges of the \\spad{x-},{} \\spad{y-},{} and \\spad{z}-coordinates of the points on the curve.")) (|zRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{zRange(c)} returns the range of the \\spad{z}-coordinates of the points on the curve \\spad{c}.")) (|yRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{yRange(c)} returns the range of the \\spad{y}-coordinates of the points on the curve \\spad{c}.")) (|xRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{xRange(c)} returns the range of the \\spad{x}-coordinates of the points on the curve \\spad{c}.")) (|listBranches| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listBranches(c)} returns a list of lists of points,{} representing the branches of the curve \\spad{c}."))) 
 NIL 
 NIL 
-(-976 S R E |VarSet| P) 
+(-977 S R E |VarSet| P) 
 ((|constructor| (NIL "A category for finite subsets of a polynomial ring. Such a set is only regarded as a set of polynomials and not identified to the ideal it generates. So two distinct sets may generate the same the ideal. Furthermore,{} for \\spad{R} being an integral domain,{} a set of polynomials may be viewed as a representation of the ideal it generates in the polynomial ring \\spad{(R)^(-1) P},{} or the set of its zeros (described for instance by the radical of the previous ideal,{} or a split of the associated affine variety) and so on. So this category provides operations about those different notions.")) (|triangular?| (((|Boolean|) $) "\\axiom{triangular?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} is a triangular set,{} \\spadignore{i.e.} two distinct polynomials have distinct main variables and no constant lies in \\axiom{\\spad{ps}}.")) (|rewriteIdealWithRemainder| (((|List| |#5|) (|List| |#5|) $) "\\axiom{rewriteIdealWithRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that every polynomial in \\axiom{\\spad{lr}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|rewriteIdealWithHeadRemainder| (((|List| |#5|) (|List| |#5|) $) "\\axiom{rewriteIdealWithHeadRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that the leading monomial of every polynomial in \\axiom{\\spad{lr}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|remainder| (((|Record| (|:| |rnum| |#2|) (|:| |polnum| |#5|) (|:| |den| |#2|)) |#5| $) "\\axiom{remainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{c},{}\\spad{b},{}\\spad{r}]} such that \\axiom{\\spad{b}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}},{} \\axiom{r*a - \\spad{c*b}} lies in the ideal generated by \\axiom{\\spad{ps}}. Furthermore,{} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} \\axiom{\\spad{b}} is primitive.")) (|headRemainder| (((|Record| (|:| |num| |#5|) (|:| |den| |#2|)) |#5| $) "\\axiom{headRemainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{b},{}\\spad{r}]} such that the leading monomial of \\axiom{\\spad{b}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}} and \\axiom{r*a - \\spad{b}} lies in the ideal generated by \\axiom{\\spad{ps}}.")) (|roughUnitIdeal?| (((|Boolean|) $) "\\axiom{roughUnitIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} contains \\indented{1}{some non null element lying in the base ring \\axiom{\\spad{R}}.}")) (|roughEqualIdeals?| (((|Boolean|) $ $) "\\axiom{roughEqualIdeals?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that \\axiom{\\spad{ps1}} and \\axiom{\\spad{ps2}} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}} without computing Groebner bases.")) (|roughSubIdeal?| (((|Boolean|) $ $) "\\axiom{roughSubIdeal?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that all polynomials in \\axiom{\\spad{ps1}} lie in the ideal generated by \\axiom{\\spad{ps2}} in \\axiom{\\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}} without computing Groebner bases.")) (|roughBase?| (((|Boolean|) $) "\\axiom{roughBase?(\\spad{ps})} returns \\spad{true} iff for every pair \\axiom{{\\spad{p},{}\\spad{q}}} of polynomials in \\axiom{\\spad{ps}} their leading monomials are relatively prime.")) (|trivialIdeal?| (((|Boolean|) $) "\\axiom{trivialIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} does not contain non-zero elements.")) (|sort| (((|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $)) $ |#4|) "\\axiom{sort(\\spad{v},{}\\spad{ps})} returns \\axiom{us,{}\\spad{vs},{}\\spad{ws}} such that \\axiom{us} is \\axiom{collectUnder(\\spad{ps},{}\\spad{v})},{} \\axiom{\\spad{vs}} is \\axiom{collect(\\spad{ps},{}\\spad{v})} and \\axiom{\\spad{ws}} is \\axiom{collectUpper(\\spad{ps},{}\\spad{v})}.")) (|collectUpper| (($ $ |#4|) "\\axiom{collectUpper(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable greater than \\axiom{\\spad{v}}.")) (|collect| (($ $ |#4|) "\\axiom{collect(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with \\axiom{\\spad{v}} as main variable.")) (|collectUnder| (($ $ |#4|) "\\axiom{collectUnder(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable less than \\axiom{\\spad{v}}.")) (|mainVariable?| (((|Boolean|) |#4| $) "\\axiom{mainVariable?(\\spad{v},{}\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ps}}.")) (|mainVariables| (((|List| |#4|) $) "\\axiom{mainVariables(\\spad{ps})} returns the decreasingly sorted list of the variables which are main variables of some polynomial in \\axiom{\\spad{ps}}.")) (|variables| (((|List| |#4|) $) "\\axiom{variables(\\spad{ps})} returns the decreasingly sorted list of the variables which are variables of some polynomial in \\axiom{\\spad{ps}}.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{ps})} returns the main variable of the non constant polynomial with the greatest main variable,{} if any,{} else an error is returned.")) (|retract| (($ (|List| |#5|)) "\\axiom{retract(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|List| |#5|)) "\\axiom{retractIfCan(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise \\axiom{\"failed\"} is returned."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-558)))) 
-(-977 R E |VarSet| P) 
+((|HasCategory| |#2| (QUOTE (-559)))) 
+(-978 R E |VarSet| P) 
 ((|constructor| (NIL "A category for finite subsets of a polynomial ring. Such a set is only regarded as a set of polynomials and not identified to the ideal it generates. So two distinct sets may generate the same the ideal. Furthermore,{} for \\spad{R} being an integral domain,{} a set of polynomials may be viewed as a representation of the ideal it generates in the polynomial ring \\spad{(R)^(-1) P},{} or the set of its zeros (described for instance by the radical of the previous ideal,{} or a split of the associated affine variety) and so on. So this category provides operations about those different notions.")) (|triangular?| (((|Boolean|) $) "\\axiom{triangular?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} is a triangular set,{} \\spadignore{i.e.} two distinct polynomials have distinct main variables and no constant lies in \\axiom{\\spad{ps}}.")) (|rewriteIdealWithRemainder| (((|List| |#4|) (|List| |#4|) $) "\\axiom{rewriteIdealWithRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that every polynomial in \\axiom{\\spad{lr}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|rewriteIdealWithHeadRemainder| (((|List| |#4|) (|List| |#4|) $) "\\axiom{rewriteIdealWithHeadRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that the leading monomial of every polynomial in \\axiom{\\spad{lr}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|remainder| (((|Record| (|:| |rnum| |#1|) (|:| |polnum| |#4|) (|:| |den| |#1|)) |#4| $) "\\axiom{remainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{c},{}\\spad{b},{}\\spad{r}]} such that \\axiom{\\spad{b}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}},{} \\axiom{r*a - \\spad{c*b}} lies in the ideal generated by \\axiom{\\spad{ps}}. Furthermore,{} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} \\axiom{\\spad{b}} is primitive.")) (|headRemainder| (((|Record| (|:| |num| |#4|) (|:| |den| |#1|)) |#4| $) "\\axiom{headRemainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{b},{}\\spad{r}]} such that the leading monomial of \\axiom{\\spad{b}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}} and \\axiom{r*a - \\spad{b}} lies in the ideal generated by \\axiom{\\spad{ps}}.")) (|roughUnitIdeal?| (((|Boolean|) $) "\\axiom{roughUnitIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} contains \\indented{1}{some non null element lying in the base ring \\axiom{\\spad{R}}.}")) (|roughEqualIdeals?| (((|Boolean|) $ $) "\\axiom{roughEqualIdeals?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that \\axiom{\\spad{ps1}} and \\axiom{\\spad{ps2}} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}} without computing Groebner bases.")) (|roughSubIdeal?| (((|Boolean|) $ $) "\\axiom{roughSubIdeal?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that all polynomials in \\axiom{\\spad{ps1}} lie in the ideal generated by \\axiom{\\spad{ps2}} in \\axiom{\\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}} without computing Groebner bases.")) (|roughBase?| (((|Boolean|) $) "\\axiom{roughBase?(\\spad{ps})} returns \\spad{true} iff for every pair \\axiom{{\\spad{p},{}\\spad{q}}} of polynomials in \\axiom{\\spad{ps}} their leading monomials are relatively prime.")) (|trivialIdeal?| (((|Boolean|) $) "\\axiom{trivialIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} does not contain non-zero elements.")) (|sort| (((|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $)) $ |#3|) "\\axiom{sort(\\spad{v},{}\\spad{ps})} returns \\axiom{us,{}\\spad{vs},{}\\spad{ws}} such that \\axiom{us} is \\axiom{collectUnder(\\spad{ps},{}\\spad{v})},{} \\axiom{\\spad{vs}} is \\axiom{collect(\\spad{ps},{}\\spad{v})} and \\axiom{\\spad{ws}} is \\axiom{collectUpper(\\spad{ps},{}\\spad{v})}.")) (|collectUpper| (($ $ |#3|) "\\axiom{collectUpper(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable greater than \\axiom{\\spad{v}}.")) (|collect| (($ $ |#3|) "\\axiom{collect(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with \\axiom{\\spad{v}} as main variable.")) (|collectUnder| (($ $ |#3|) "\\axiom{collectUnder(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable less than \\axiom{\\spad{v}}.")) (|mainVariable?| (((|Boolean|) |#3| $) "\\axiom{mainVariable?(\\spad{v},{}\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ps}}.")) (|mainVariables| (((|List| |#3|) $) "\\axiom{mainVariables(\\spad{ps})} returns the decreasingly sorted list of the variables which are main variables of some polynomial in \\axiom{\\spad{ps}}.")) (|variables| (((|List| |#3|) $) "\\axiom{variables(\\spad{ps})} returns the decreasingly sorted list of the variables which are variables of some polynomial in \\axiom{\\spad{ps}}.")) (|mvar| ((|#3| $) "\\axiom{mvar(\\spad{ps})} returns the main variable of the non constant polynomial with the greatest main variable,{} if any,{} else an error is returned.")) (|retract| (($ (|List| |#4|)) "\\axiom{retract(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{retractIfCan(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise \\axiom{\"failed\"} is returned."))) 
-((-4521 . T) (-3973 . T)) 
+((-4535 . T) (-2982 . T)) 
 NIL 
-(-978 R E V P) 
+(-979 R E V P) 
 ((|constructor| (NIL "This package provides modest routines for polynomial system solving. The aim of many of the operations of this package is to remove certain factors in some polynomials in order to avoid unnecessary computations in algorithms involving splitting techniques by partial factorization.")) (|removeIrreducibleRedundantFactors| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeIrreducibleRedundantFactors(\\spad{lp},{}\\spad{lq})} returns the same as \\axiom{irreducibleFactors(concat(\\spad{lp},{}\\spad{lq}))} assuming that \\axiom{irreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.")) (|lazyIrreducibleFactors| (((|List| |#4|) (|List| |#4|)) "\\axiom{lazyIrreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lf}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lf} = [\\spad{f1},{}...,{}\\spad{fm}]} then \\axiom{p1*p2*...\\spad{*pn=0}} means \\axiom{f1*f2*...\\spad{*fm=0}},{} and the \\axiom{\\spad{fi}} are irreducible over \\axiom{\\spad{R}} and are pairwise distinct. The algorithm tries to avoid factorization into irreducible factors as far as possible and makes previously use of \\spad{gcd} techniques over \\axiom{\\spad{R}}.")) (|irreducibleFactors| (((|List| |#4|) (|List| |#4|)) "\\axiom{irreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lf}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lf} = [\\spad{f1},{}...,{}\\spad{fm}]} then \\axiom{p1*p2*...\\spad{*pn=0}} means \\axiom{f1*f2*...\\spad{*fm=0}},{} and the \\axiom{\\spad{fi}} are irreducible over \\axiom{\\spad{R}} and are pairwise distinct.")) (|removeRedundantFactorsInPols| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp} where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in every polynomial \\axiom{\\spad{p}} of \\axiom{\\spad{lp}} any non trivial factor of any polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in every polynomial \\axiom{\\spad{lp}}.")) (|removeRedundantFactorsInContents| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactorsInContents(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp} where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in the content of every polynomial of \\axiom{\\spad{lp}} any non trivial factor of any polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in the content of every polynomial of \\axiom{\\spad{lp}}.")) (|removeRoughlyRedundantFactorsInContents| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInContents(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp}where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in the content of every polynomial of \\axiom{\\spad{lp}} any occurence of a polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in the content of every polynomial of \\axiom{\\spad{lp}}.")) (|univariatePolynomialsGcds| (((|List| |#4|) (|List| |#4|) (|Boolean|)) "\\axiom{univariatePolynomialsGcds(\\spad{lp},{}opt)} returns the same as \\axiom{univariatePolynomialsGcds(\\spad{lp})} if \\axiom{opt} is \\axiom{\\spad{false}} and if the previous operation does not return any non null and constant polynomial,{} else return \\axiom{[1]}.") (((|List| |#4|) (|List| |#4|)) "\\axiom{univariatePolynomialsGcds(\\spad{lp})} returns \\axiom{\\spad{lg}} where \\axiom{\\spad{lg}} is a list of the gcds of every pair in \\axiom{\\spad{lp}} of univariate polynomials in the same main variable.")) (|squareFreeFactors| (((|List| |#4|) |#4|) "\\axiom{squareFreeFactors(\\spad{p})} returns the square-free factors of \\axiom{\\spad{p}} over \\axiom{\\spad{R}}")) (|rewriteIdealWithQuasiMonicGenerators| (((|List| |#4|) (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{rewriteIdealWithQuasiMonicGenerators(\\spad{lp},{}redOp?,{}redOp)} returns \\axiom{\\spad{lq}} where \\axiom{\\spad{lq}} and \\axiom{\\spad{lp}} generate the same ideal in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{lq}} has rank not higher than the one of \\axiom{\\spad{lp}}. Moreover,{} \\axiom{\\spad{lq}} is computed by reducing \\axiom{\\spad{lp}} \\spad{w}.\\spad{r}.\\spad{t}. some basic set of the ideal generated by the quasi-monic polynomials in \\axiom{\\spad{lp}}.")) (|rewriteSetByReducingWithParticularGenerators| (((|List| |#4|) (|List| |#4|) (|Mapping| (|Boolean|) |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{rewriteSetByReducingWithParticularGenerators(\\spad{lp},{}pred?,{}redOp?,{}redOp)} returns \\axiom{\\spad{lq}} where \\axiom{\\spad{lq}} is computed by the following algorithm. Chose a basic set \\spad{w}.\\spad{r}.\\spad{t}. the reduction-test \\axiom{redOp?} among the polynomials satisfying property \\axiom{pred?},{} if it is empty then leave,{} else reduce the other polynomials by this basic set \\spad{w}.\\spad{r}.\\spad{t}. the reduction-operation \\axiom{redOp}. Repeat while another basic set with smaller rank can be computed. See code. If \\axiom{pred?} is \\axiom{quasiMonic?} the ideal is unchanged.")) (|crushedSet| (((|List| |#4|) (|List| |#4|)) "\\axiom{crushedSet(\\spad{lp})} returns \\axiom{\\spad{lq}} such that \\axiom{\\spad{lp}} and and \\axiom{\\spad{lq}} generate the same ideal and no rough basic sets reduce (in the sense of Groebner bases) the other polynomials in \\axiom{\\spad{lq}}.")) (|roughBasicSet| (((|Union| (|Record| (|:| |bas| (|GeneralTriangularSet| |#1| |#2| |#3| |#4|)) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|)) "\\axiom{roughBasicSet(\\spad{lp})} returns the smallest (with Ritt-Wu ordering) triangular set contained in \\axiom{\\spad{lp}}.")) (|interReduce| (((|List| |#4|) (|List| |#4|)) "\\axiom{interReduce(\\spad{lp})} returns \\axiom{\\spad{lq}} such that \\axiom{\\spad{lp}} and \\axiom{\\spad{lq}} generate the same ideal and no polynomial in \\axiom{\\spad{lq}} is reducuble by the others in the sense of Groebner bases. Since no assumptions are required the result may depend on the ordering the reductions are performed.")) (|removeRoughlyRedundantFactorsInPol| ((|#4| |#4| (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInPol(\\spad{p},{}\\spad{lf})} returns the same as removeRoughlyRedundantFactorsInPols([\\spad{p}],{}\\spad{lf},{}\\spad{true})")) (|removeRoughlyRedundantFactorsInPols| (((|List| |#4|) (|List| |#4|) (|List| |#4|) (|Boolean|)) "\\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf},{}opt)} returns the same as \\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} if \\axiom{opt} is \\axiom{\\spad{false}} and if the previous operation does not return any non null and constant polynomial,{} else return \\axiom{[1]}.") (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp}where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in every polynomial \\axiom{\\spad{p}} of \\axiom{\\spad{lp}} any occurence of a polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. This may involve a lot of exact-quotients computations.")) (|bivariatePolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{bivariatePolynomials(\\spad{lp})} returns \\axiom{\\spad{bps},{}nbps} where \\axiom{\\spad{bps}} is a list of the bivariate polynomials,{} and \\axiom{nbps} are the other ones.")) (|bivariate?| (((|Boolean|) |#4|) "\\axiom{bivariate?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} involves two and only two variables.")) (|linearPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{linearPolynomials(\\spad{lp})} returns \\axiom{\\spad{lps},{}nlps} where \\axiom{\\spad{lps}} is a list of the linear polynomials in \\spad{lp},{} and \\axiom{nlps} are the other ones.")) (|linear?| (((|Boolean|) |#4|) "\\axiom{linear?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} does not lie in the base ring \\axiom{\\spad{R}} and has main degree \\axiom{1}.")) (|univariatePolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{univariatePolynomials(\\spad{lp})} returns \\axiom{ups,{}nups} where \\axiom{ups} is a list of the univariate polynomials,{} and \\axiom{nups} are the other ones.")) (|univariate?| (((|Boolean|) |#4|) "\\axiom{univariate?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} involves one and only one variable.")) (|quasiMonicPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{quasiMonicPolynomials(\\spad{lp})} returns \\axiom{qmps,{}nqmps} where \\axiom{qmps} is a list of the quasi-monic polynomials in \\axiom{\\spad{lp}} and \\axiom{nqmps} are the other ones.")) (|selectAndPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| (|Mapping| (|Boolean|) |#4|)) (|List| |#4|)) "\\axiom{selectAndPolynomials(lpred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds for every \\axiom{pred?} in \\axiom{lpred?} and \\axiom{\\spad{bps}} are the other ones.")) (|selectOrPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| (|Mapping| (|Boolean|) |#4|)) (|List| |#4|)) "\\axiom{selectOrPolynomials(lpred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds for some \\axiom{pred?} in \\axiom{lpred?} and \\axiom{\\spad{bps}} are the other ones.")) (|selectPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|Mapping| (|Boolean|) |#4|) (|List| |#4|)) "\\axiom{selectPolynomials(pred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds and \\axiom{\\spad{bps}} are the other ones.")) (|probablyZeroDim?| (((|Boolean|) (|List| |#4|)) "\\axiom{probablyZeroDim?(\\spad{lp})} returns \\spad{true} iff the number of polynomials in \\axiom{\\spad{lp}} is not smaller than the number of variables occurring in these polynomials.")) (|possiblyNewVariety?| (((|Boolean|) (|List| |#4|) (|List| (|List| |#4|))) "\\axiom{possiblyNewVariety?(newlp,{}\\spad{llp})} returns \\spad{true} iff for every \\axiom{\\spad{lp}} in \\axiom{\\spad{llp}} certainlySubVariety?(newlp,{}\\spad{lp}) does not hold.")) (|certainlySubVariety?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{certainlySubVariety?(newlp,{}\\spad{lp})} returns \\spad{true} iff for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}} the remainder of \\axiom{\\spad{p}} by \\axiom{newlp} using the division algorithm of Groebner techniques is zero.")) (|unprotectedRemoveRedundantFactors| (((|List| |#4|) |#4| |#4|) "\\axiom{unprotectedRemoveRedundantFactors(\\spad{p},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors(\\spad{p},{}\\spad{q})} but does assume that neither \\axiom{\\spad{p}} nor \\axiom{\\spad{q}} lie in the base ring \\axiom{\\spad{R}} and assumes that \\axiom{infRittWu?(\\spad{p},{}\\spad{q})} holds. Moreover,{} if \\axiom{\\spad{R}} is \\spad{gcd}-domain,{} then \\axiom{\\spad{p}} and \\axiom{\\spad{q}} are assumed to be square free.")) (|removeSquaresIfCan| (((|List| |#4|) (|List| |#4|)) "\\axiom{removeSquaresIfCan(\\spad{lp})} returns \\axiom{removeDuplicates [squareFreePart(\\spad{p})\\$\\spad{P} for \\spad{p} in \\spad{lp}]} if \\axiom{\\spad{R}} is \\spad{gcd}-domain else returns \\axiom{\\spad{lp}}.")) (|removeRedundantFactors| (((|List| |#4|) (|List| |#4|) (|List| |#4|) (|Mapping| (|List| |#4|) (|List| |#4|))) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{lq},{}remOp)} returns the same as \\axiom{concat(remOp(removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lq})),{}\\spad{lq})} assuming that \\axiom{remOp(\\spad{lq})} returns \\axiom{\\spad{lq}} up to similarity.") (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{lq})} returns the same as \\axiom{removeRedundantFactors(concat(\\spad{lp},{}\\spad{lq}))} assuming that \\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.") (((|List| |#4|) (|List| |#4|) |#4|) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors(cons(\\spad{q},{}\\spad{lp}))} assuming that \\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.") (((|List| |#4|) |#4| |#4|) "\\axiom{removeRedundantFactors(\\spad{p},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors([\\spad{p},{}\\spad{q}])}") (((|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lq}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lq} = [\\spad{q1},{}...,{}\\spad{qm}]} then the product \\axiom{p1*p2*...\\spad{*pn}} vanishes iff the product \\axiom{q1*q2*...\\spad{*qm}} vanishes,{} and the product of degrees of the \\axiom{\\spad{qi}} is not greater than the one of the \\axiom{\\spad{pj}},{} and no polynomial in \\axiom{\\spad{lq}} divides another polynomial in \\axiom{\\spad{lq}}. In particular,{} polynomials lying in the base ring \\axiom{\\spad{R}} are removed. Moreover,{} \\axiom{\\spad{lq}} is sorted \\spad{w}.\\spad{r}.\\spad{t} \\axiom{infRittWu?}. Furthermore,{} if \\spad{R} is \\spad{gcd}-domain,{} the polynomials in \\axiom{\\spad{lq}} are pairwise without common non trivial factor."))) 
 NIL 
-((-12 (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-301)))) (|HasCategory| |#1| (QUOTE (-453)))) 
-(-979 K) 
+((-12 (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-302)))) (|HasCategory| |#1| (QUOTE (-454)))) 
+(-980 K) 
 ((|constructor| (NIL "PseudoLinearNormalForm provides a function for computing a block-companion form for pseudo-linear operators.")) (|companionBlocks| (((|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{companionBlocks(m,{} v)} returns \\spad{[[C_1,{} g_1],{}...,{}[C_k,{} g_k]]} such that each \\spad{C_i} is a companion block and \\spad{m = diagonal(C_1,{}...,{}C_k)}.")) (|changeBase| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{changeBase(M,{} A,{} sig,{} der)}: computes the new matrix of a pseudo-linear transform given by the matrix \\spad{M} under the change of base A")) (|normalForm| (((|Record| (|:| R (|Matrix| |#1|)) (|:| A (|Matrix| |#1|)) (|:| |Ainv| (|Matrix| |#1|))) (|Matrix| |#1|) (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{normalForm(M,{} sig,{} der)} returns \\spad{[R,{} A,{} A^{-1}]} such that the pseudo-linear operator whose matrix in the basis \\spad{y} is \\spad{M} had matrix \\spad{R} in the basis \\spad{z = A y}. \\spad{der} is a \\spad{sig}-derivation."))) 
 NIL 
 NIL 
-(-980 |VarSet| E RC P) 
+(-981 |VarSet| E RC P) 
 ((|constructor| (NIL "This package computes square-free decomposition of multivariate polynomials over a coefficient ring which is an arbitrary \\spad{gcd} domain. The requirement on the coefficient domain guarantees that the \\spadfun{content} can be removed so that factors will be primitive as well as square-free. Over an infinite ring of finite characteristic,{}it may not be possible to guarantee that the factors are square-free.")) (|squareFree| (((|Factored| |#4|) |#4|) "\\spad{squareFree(p)} returns the square-free factorization of the polynomial \\spad{p}. Each factor has no repeated roots,{} and the factors are pairwise relatively prime."))) 
 NIL 
 NIL 
-(-981 R) 
+(-982 R) 
 ((|constructor| (NIL "PointCategory is the category of points in space which may be plotted via the graphics facilities. Functions are provided for defining points and handling elements of points.")) (|extend| (($ $ (|List| |#1|)) "\\spad{extend(x,{}l,{}r)} \\undocumented")) (|cross| (($ $ $) "\\spad{cross(p,{}q)} computes the cross product of the two points \\spad{p} and \\spad{q}. Error if the \\spad{p} and \\spad{q} are not 3 dimensional")) (|convert| (($ (|List| |#1|)) "\\spad{convert(l)} takes a list of elements,{} \\spad{l},{} from the domain Ring and returns the form of point category.")) (|dimension| (((|PositiveInteger|) $) "\\spad{dimension(s)} returns the dimension of the point category \\spad{s}.")) (|point| (($ (|List| |#1|)) "\\spad{point(l)} returns a point category defined by a list \\spad{l} of elements from the domain \\spad{R}."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-982 R1 R2) 
+(-983 R1 R2) 
 ((|constructor| (NIL "This package has no description")) (|map| (((|Point| |#2|) (|Mapping| |#2| |#1|) (|Point| |#1|)) "\\spad{map(f,{}p)} \\undocumented"))) 
 NIL 
 NIL 
-(-983 R) 
+(-984 R) 
 ((|constructor| (NIL "This package has no description")) (|shade| ((|#1| (|Point| |#1|)) "\\spad{shade(pt)} returns the fourth element of the two dimensional point,{} \\spad{pt},{} although no assumptions are made with regards as to how the components of higher dimensional points are interpreted. This function is defined for the convenience of the user using specifically,{} shade to express a fourth dimension.")) (|hue| ((|#1| (|Point| |#1|)) "\\spad{hue(pt)} returns the third element of the two dimensional point,{} \\spad{pt},{} although no assumptions are made with regards as to how the components of higher dimensional points are interpreted. This function is defined for the convenience of the user using specifically,{} hue to express a third dimension.")) (|color| ((|#1| (|Point| |#1|)) "\\spad{color(pt)} returns the fourth element of the point,{} \\spad{pt},{} although no assumptions are made with regards as to how the components of higher dimensional points are interpreted. This function is defined for the convenience of the user using specifically,{} color to express a fourth dimension.")) (|phiCoord| ((|#1| (|Point| |#1|)) "\\spad{phiCoord(pt)} returns the third element of the point,{} \\spad{pt},{} although no assumptions are made as to the coordinate system being used. This function is defined for the convenience of the user dealing with a spherical coordinate system.")) (|thetaCoord| ((|#1| (|Point| |#1|)) "\\spad{thetaCoord(pt)} returns the second element of the point,{} \\spad{pt},{} although no assumptions are made as to the coordinate system being used. This function is defined for the convenience of the user dealing with a spherical or a cylindrical coordinate system.")) (|rCoord| ((|#1| (|Point| |#1|)) "\\spad{rCoord(pt)} returns the first element of the point,{} \\spad{pt},{} although no assumptions are made as to the coordinate system being used. This function is defined for the convenience of the user dealing with a spherical or a cylindrical coordinate system.")) (|zCoord| ((|#1| (|Point| |#1|)) "\\spad{zCoord(pt)} returns the third element of the point,{} \\spad{pt},{} although no assumptions are made as to the coordinate system being used. This function is defined for the convenience of the user dealing with a Cartesian or a cylindrical coordinate system.")) (|yCoord| ((|#1| (|Point| |#1|)) "\\spad{yCoord(pt)} returns the second element of the point,{} \\spad{pt},{} although no assumptions are made as to the coordinate system being used. This function is defined for the convenience of the user dealing with a Cartesian coordinate system.")) (|xCoord| ((|#1| (|Point| |#1|)) "\\spad{xCoord(pt)} returns the first element of the point,{} \\spad{pt},{} although no assumptions are made as to the coordinate system being used. This function is defined for the convenience of the user dealing with a Cartesian coordinate system."))) 
 NIL 
 NIL 
-(-984 K) 
+(-985 K) 
 ((|constructor| (NIL "This is the description of any package which provides partial functions on a domain belonging to TranscendentalFunctionCategory.")) (|acschIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{acschIfCan(z)} returns acsch(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|asechIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{asechIfCan(z)} returns asech(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|acothIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{acothIfCan(z)} returns acoth(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|atanhIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{atanhIfCan(z)} returns atanh(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|acoshIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{acoshIfCan(z)} returns acosh(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|asinhIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{asinhIfCan(z)} returns asinh(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|cschIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{cschIfCan(z)} returns csch(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|sechIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{sechIfCan(z)} returns sech(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|cothIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{cothIfCan(z)} returns coth(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|tanhIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{tanhIfCan(z)} returns tanh(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|coshIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{coshIfCan(z)} returns cosh(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|sinhIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{sinhIfCan(z)} returns sinh(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|acscIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{acscIfCan(z)} returns acsc(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|asecIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{asecIfCan(z)} returns asec(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|acotIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{acotIfCan(z)} returns acot(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|atanIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{atanIfCan(z)} returns atan(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|acosIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{acosIfCan(z)} returns acos(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|asinIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{asinIfCan(z)} returns asin(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|cscIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{cscIfCan(z)} returns \\spad{csc}(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|secIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{secIfCan(z)} returns sec(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|cotIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{cotIfCan(z)} returns cot(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|tanIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{tanIfCan(z)} returns tan(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|cosIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{cosIfCan(z)} returns cos(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|sinIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{sinIfCan(z)} returns sin(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|logIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{logIfCan(z)} returns log(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|expIfCan| (((|Union| |#1| "failed") |#1|) "\\spad{expIfCan(z)} returns exp(\\spad{z}) if possible,{} and \"failed\" otherwise.")) (|nthRootIfCan| (((|Union| |#1| "failed") |#1| (|NonNegativeInteger|)) "\\spad{nthRootIfCan(z,{}n)} returns the \\spad{n}th root of \\spad{z} if possible,{} and \"failed\" otherwise."))) 
 NIL 
 NIL 
-(-985 R E OV PPR) 
+(-986 R E OV PPR) 
 ((|constructor| (NIL "This package has no description")) (|map| ((|#4| (|Mapping| |#4| (|Polynomial| |#1|)) |#4|) "\\spad{map(f,{}p)} \\undocumented{}")) (|pushup| ((|#4| |#4| (|List| |#3|)) "\\spad{pushup(p,{}lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushup(p,{}v)} \\undocumented{}")) (|pushdown| ((|#4| |#4| (|List| |#3|)) "\\spad{pushdown(p,{}lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushdown(p,{}v)} \\undocumented{}")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
 NIL 
-(-986 K R UP -1478) 
+(-987 K R UP -1564) 
 ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,{}y]/(f(x,{}y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,{}y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If 'basis' is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if 'basisInv' is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If 'basis' is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if 'basisInv' is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}."))) 
 NIL 
 NIL 
-(-987 |vl| |nv|) 
+(-988 |vl| |nv|) 
 ((|constructor| (NIL "\\spadtype{QuasiAlgebraicSet2} adds a function \\spadfun{radicalSimplify} which uses \\spadtype{IdealDecompositionPackage} to simplify the representation of a quasi-algebraic set. A quasi-algebraic set is the intersection of a Zariski closed set,{} defined as the common zeros of a given list of polynomials (the defining polynomials for equations),{} and a principal Zariski open set,{} defined as the complement of the common zeros of a polynomial \\spad{f} (the defining polynomial for the inequation). Quasi-algebraic sets are implemented in the domain \\spadtype{QuasiAlgebraicSet},{} where two simplification routines are provided: \\spadfun{idealSimplify} and \\spadfun{simplify}. The function \\spadfun{radicalSimplify} is added for comparison study only. Because the domain \\spadtype{IdealDecompositionPackage} provides facilities for computing with radical ideals,{} it is necessary to restrict the ground ring to the domain \\spadtype{Fraction Integer},{} and the polynomial ring to be of type \\spadtype{DistributedMultivariatePolynomial}. The routine \\spadfun{radicalSimplify} uses these to compute groebner basis of radical ideals and is inefficient and restricted when compared to the two in \\spadtype{QuasiAlgebraicSet}.")) (|radicalSimplify| (((|QuasiAlgebraicSet| (|Fraction| (|Integer|)) (|OrderedVariableList| |#1|) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|)))) (|QuasiAlgebraicSet| (|Fraction| (|Integer|)) (|OrderedVariableList| |#1|) (|DirectProduct| |#2| (|NonNegativeInteger|)) (|DistributedMultivariatePolynomial| |#1| (|Fraction| (|Integer|))))) "\\spad{radicalSimplify(s)} returns a different and presumably simpler representation of \\spad{s} with the defining polynomials for the equations forming a groebner basis,{} and the defining polynomial for the inequation reduced with respect to the basis,{} using using groebner basis of radical ideals"))) 
 NIL 
 NIL 
-(-988 R |Var| |Expon| |Dpoly|) 
+(-989 R |Var| |Expon| |Dpoly|) 
 ((|constructor| (NIL "\\spadtype{QuasiAlgebraicSet} constructs a domain representing quasi-algebraic sets,{} which is the intersection of a Zariski closed set,{} defined as the common zeros of a given list of polynomials (the defining polynomials for equations),{} and a principal Zariski open set,{} defined as the complement of the common zeros of a polynomial \\spad{f} (the defining polynomial for the inequation). This domain provides simplification of a user-given representation using groebner basis computations. There are two simplification routines: the first function \\spadfun{idealSimplify} uses groebner basis of ideals alone,{} while the second,{} \\spadfun{simplify} uses both groebner basis and factorization. The resulting defining equations \\spad{L} always form a groebner basis,{} and the resulting defining inequation \\spad{f} is always reduced. The function \\spadfun{simplify} may be applied several times if desired. A third simplification routine \\spadfun{radicalSimplify} is provided in \\spadtype{QuasiAlgebraicSet2} for comparison study only,{} as it is inefficient compared to the other two,{} as well as is restricted to only certain coefficient domains. For detail analysis and a comparison of the three methods,{} please consult the reference cited. \\blankline A polynomial function \\spad{q} defined on the quasi-algebraic set is equivalent to its reduced form with respect to \\spad{L}. While this may be obtained using the usual normal form algorithm,{} there is no canonical form for \\spad{q}. \\blankline The ordering in groebner basis computation is determined by the data type of the input polynomials. If it is possible we suggest to use refinements of total degree orderings.")) (|simplify| (($ $) "\\spad{simplify(s)} returns a different and presumably simpler representation of \\spad{s} with the defining polynomials for the equations forming a groebner basis,{} and the defining polynomial for the inequation reduced with respect to the basis,{} using a heuristic algorithm based on factoring.")) (|idealSimplify| (($ $) "\\spad{idealSimplify(s)} returns a different and presumably simpler representation of \\spad{s} with the defining polynomials for the equations forming a groebner basis,{} and the defining polynomial for the inequation reduced with respect to the basis,{} using Buchberger\\spad{'s} algorithm.")) (|definingInequation| ((|#4| $) "\\spad{definingInequation(s)} returns a single defining polynomial for the inequation,{} that is,{} the Zariski open part of \\spad{s}.")) (|definingEquations| (((|List| |#4|) $) "\\spad{definingEquations(s)} returns a list of defining polynomials for equations,{} that is,{} for the Zariski closed part of \\spad{s}.")) (|empty?| (((|Boolean|) $) "\\spad{empty?(s)} returns \\spad{true} if the quasialgebraic set \\spad{s} has no points,{} and \\spad{false} otherwise.")) (|setStatus| (($ $ (|Union| (|Boolean|) "failed")) "\\spad{setStatus(s,{}t)} returns the same representation for \\spad{s},{} but asserts the following: if \\spad{t} is \\spad{true},{} then \\spad{s} is empty,{} if \\spad{t} is \\spad{false},{} then \\spad{s} is non-empty,{} and if \\spad{t} = \"failed\",{} then no assertion is made (that is,{} \"don\\spad{'t} know\"). Note: for internal use only,{} with care.")) (|status| (((|Union| (|Boolean|) "failed") $) "\\spad{status(s)} returns \\spad{true} if the quasi-algebraic set is empty,{} \\spad{false} if it is not,{} and \"failed\" if not yet known")) (|quasiAlgebraicSet| (($ (|List| |#4|) |#4|) "\\spad{quasiAlgebraicSet(pl,{}q)} returns the quasi-algebraic set with defining equations \\spad{p} = 0 for \\spad{p} belonging to the list \\spad{pl},{} and defining inequation \\spad{q} \\spad{^=} 0.")) (|empty| (($) "\\spad{empty()} returns the empty quasi-algebraic set"))) 
 NIL 
-((-12 (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-301))))) 
-(-989 R E V P TS) 
+((-12 (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-302))))) 
+(-990 R E V P TS) 
 ((|constructor| (NIL "A package for removing redundant quasi-components and redundant branches when decomposing a variety by means of quasi-components of regular triangular sets.")) (|branchIfCan| (((|Union| (|Record| (|:| |eq| (|List| |#4|)) (|:| |tower| |#5|) (|:| |ineq| (|List| |#4|))) "failed") (|List| |#4|) |#5| (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{branchIfCan(leq,{}\\spad{ts},{}lineq,{}\\spad{b1},{}\\spad{b2},{}\\spad{b3},{}\\spad{b4},{}\\spad{b5})} is an internal subroutine,{} exported only for developement.")) (|prepareDecompose| (((|List| (|Record| (|:| |eq| (|List| |#4|)) (|:| |tower| |#5|) (|:| |ineq| (|List| |#4|)))) (|List| |#4|) (|List| |#5|) (|Boolean|) (|Boolean|)) "\\axiom{prepareDecompose(\\spad{lp},{}\\spad{lts},{}\\spad{b1},{}\\spad{b2})} is an internal subroutine,{} exported only for developement.")) (|removeSuperfluousCases| (((|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) (|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|)))) "\\axiom{removeSuperfluousCases(llpwt)} is an internal subroutine,{} exported only for developement.")) (|subCase?| (((|Boolean|) (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|)) (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) "\\axiom{subCase?(\\spad{lpwt1},{}\\spad{lpwt2})} is an internal subroutine,{} exported only for developement.")) (|removeSuperfluousQuasiComponents| (((|List| |#5|) (|List| |#5|)) "\\axiom{removeSuperfluousQuasiComponents(\\spad{lts})} removes from \\axiom{\\spad{lts}} any \\spad{ts} such that \\axiom{subQuasiComponent?(\\spad{ts},{}us)} holds for another \\spad{us} in \\axiom{\\spad{lts}}.")) (|subQuasiComponent?| (((|Boolean|) |#5| (|List| |#5|)) "\\axiom{subQuasiComponent?(\\spad{ts},{}lus)} returns \\spad{true} iff \\axiom{subQuasiComponent?(\\spad{ts},{}us)} holds for one \\spad{us} in \\spad{lus}.") (((|Boolean|) |#5| |#5|) "\\axiom{subQuasiComponent?(\\spad{ts},{}us)} returns \\spad{true} iff internalSubQuasiComponent? returs \\spad{true}.")) (|internalSubQuasiComponent?| (((|Union| (|Boolean|) "failed") |#5| |#5|) "\\axiom{internalSubQuasiComponent?(\\spad{ts},{}us)} returns a boolean \\spad{b} value if the fact that the regular zero set of \\axiom{us} contains that of \\axiom{\\spad{ts}} can be decided (and in that case \\axiom{\\spad{b}} gives this inclusion) otherwise returns \\axiom{\"failed\"}.")) (|infRittWu?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{infRittWu?(\\spad{lp1},{}\\spad{lp2})} is an internal subroutine,{} exported only for developement.")) (|internalInfRittWu?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{internalInfRittWu?(\\spad{lp1},{}\\spad{lp2})} is an internal subroutine,{} exported only for developement.")) (|internalSubPolSet?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{internalSubPolSet?(\\spad{lp1},{}\\spad{lp2})} returns \\spad{true} iff \\axiom{\\spad{lp1}} is a sub-set of \\axiom{\\spad{lp2}} assuming that these lists are sorted increasingly \\spad{w}.\\spad{r}.\\spad{t}. infRittWu? from RecursivePolynomialCategory.")) (|subPolSet?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{subPolSet?(\\spad{lp1},{}\\spad{lp2})} returns \\spad{true} iff \\axiom{\\spad{lp1}} is a sub-set of \\axiom{\\spad{lp2}}.")) (|subTriSet?| (((|Boolean|) |#5| |#5|) "\\axiom{subTriSet?(\\spad{ts},{}us)} returns \\spad{true} iff \\axiom{\\spad{ts}} is a sub-set of \\axiom{us}.")) (|moreAlgebraic?| (((|Boolean|) |#5| |#5|) "\\axiom{moreAlgebraic?(\\spad{ts},{}us)} returns \\spad{false} iff \\axiom{\\spad{ts}} and \\axiom{us} are both empty,{} or \\axiom{\\spad{ts}} has less elements than \\axiom{us},{} or some variable is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{us} and is not \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|algebraicSort| (((|List| |#5|) (|List| |#5|)) "\\axiom{algebraicSort(\\spad{lts})} sorts \\axiom{\\spad{lts}} \\spad{w}.\\spad{r}.\\spad{t} supDimElseRittWu?")) (|supDimElseRittWu?| (((|Boolean|) |#5| |#5|) "\\axiom{supDimElseRittWu(\\spad{ts},{}us)} returns \\spad{true} iff \\axiom{\\spad{ts}} has less elements than \\axiom{us} otherwise if \\axiom{\\spad{ts}} has higher rank than \\axiom{us} \\spad{w}.\\spad{r}.\\spad{t}. Riit and Wu ordering.")) (|stopTable!| (((|Void|)) "\\axiom{stopTableGcd!()} is an internal subroutine,{} exported only for developement.")) (|startTable!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableGcd!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement."))) 
 NIL 
 NIL 
-(-990) 
+(-991) 
 ((|constructor| (NIL "This domain implements simple database queries")) (|value| (((|String|) $) "\\spad{value(q)} returns the value (\\spadignore{i.e.} right hand side) of \\axiom{\\spad{q}}.")) (|variable| (((|Symbol|) $) "\\spad{variable(q)} returns the variable (\\spadignore{i.e.} left hand side) of \\axiom{\\spad{q}}.")) (|equation| (($ (|Symbol|) (|String|)) "\\spad{equation(s,{}\"a\")} creates a new equation."))) 
 NIL 
 NIL 
-(-991 A B R S) 
+(-992 A B R S) 
 ((|constructor| (NIL "This package extends a function between integral domains to a mapping between their quotient fields.")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(func,{}frac)} applies the function \\spad{func} to the numerator and denominator of \\spad{frac}."))) 
 NIL 
 NIL 
-(-992 A S) 
+(-993 A S) 
 ((|constructor| (NIL "QuotientField(\\spad{S}) is the category of fractions of an Integral Domain \\spad{S}.")) (|floor| ((|#2| $) "\\spad{floor(x)} returns the largest integral element below \\spad{x}.")) (|ceiling| ((|#2| $) "\\spad{ceiling(x)} returns the smallest integral element above \\spad{x}.")) (|random| (($) "\\spad{random()} returns a random fraction.")) (|fractionPart| (($ $) "\\spad{fractionPart(x)} returns the fractional part of \\spad{x}. \\spad{x} = wholePart(\\spad{x}) + fractionPart(\\spad{x})")) (|wholePart| ((|#2| $) "\\spad{wholePart(x)} returns the whole part of the fraction \\spad{x} \\spadignore{i.e.} the truncated quotient of the numerator by the denominator.")) (|denominator| (($ $) "\\spad{denominator(x)} is the denominator of the fraction \\spad{x} converted to \\%.")) (|numerator| (($ $) "\\spad{numerator(x)} is the numerator of the fraction \\spad{x} converted to \\%.")) (|denom| ((|#2| $) "\\spad{denom(x)} returns the denominator of the fraction \\spad{x}.")) (|numer| ((|#2| $) "\\spad{numer(x)} returns the numerator of the fraction \\spad{x}.")) (/ (($ |#2| |#2|) "\\spad{d1 / d2} returns the fraction \\spad{d1} divided by \\spad{d2}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-904))) (|HasCategory| |#2| (QUOTE (-550))) (|HasCategory| |#2| (QUOTE (-301))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-1021))) (|HasCategory| |#2| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-1136)))) 
-(-993 S) 
+((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-302))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-1022))) (|HasCategory| |#2| (QUOTE (-816))) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-1137)))) 
+(-994 S) 
 ((|constructor| (NIL "QuotientField(\\spad{S}) is the category of fractions of an Integral Domain \\spad{S}.")) (|floor| ((|#1| $) "\\spad{floor(x)} returns the largest integral element below \\spad{x}.")) (|ceiling| ((|#1| $) "\\spad{ceiling(x)} returns the smallest integral element above \\spad{x}.")) (|random| (($) "\\spad{random()} returns a random fraction.")) (|fractionPart| (($ $) "\\spad{fractionPart(x)} returns the fractional part of \\spad{x}. \\spad{x} = wholePart(\\spad{x}) + fractionPart(\\spad{x})")) (|wholePart| ((|#1| $) "\\spad{wholePart(x)} returns the whole part of the fraction \\spad{x} \\spadignore{i.e.} the truncated quotient of the numerator by the denominator.")) (|denominator| (($ $) "\\spad{denominator(x)} is the denominator of the fraction \\spad{x} converted to \\%.")) (|numerator| (($ $) "\\spad{numerator(x)} is the numerator of the fraction \\spad{x} converted to \\%.")) (|denom| ((|#1| $) "\\spad{denom(x)} returns the denominator of the fraction \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer(x)} returns the numerator of the fraction \\spad{x}.")) (/ (($ |#1| |#1|) "\\spad{d1 / d2} returns the fraction \\spad{d1} divided by \\spad{d2}."))) 
-((-3973 . T) (-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2982 . T) (-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-994 |n| K) 
+(-995 |n| K) 
 ((|constructor| (NIL "This domain provides modest support for quadratic forms.")) (|elt| ((|#2| $ (|DirectProduct| |#1| |#2|)) "\\spad{elt(qf,{}v)} evaluates the quadratic form \\spad{qf} on the vector \\spad{v},{} producing a scalar.")) (|matrix| (((|SquareMatrix| |#1| |#2|) $) "\\spad{matrix(qf)} creates a square matrix from the quadratic form \\spad{qf}.")) (|quadraticForm| (($ (|SquareMatrix| |#1| |#2|)) "\\spad{quadraticForm(m)} creates a quadratic form from a symmetric,{} square matrix \\spad{m}."))) 
 NIL 
 NIL 
-(-995 S) 
+(-996 S) 
 ((|constructor| (NIL "A queue is a bag where the first item inserted is the first item extracted.")) (|back| ((|#1| $) "\\spad{back(q)} returns the element at the back of the queue. The queue \\spad{q} is unchanged by this operation. Error: if \\spad{q} is empty.")) (|front| ((|#1| $) "\\spad{front(q)} returns the element at the front of the queue. The queue \\spad{q} is unchanged by this operation. Error: if \\spad{q} is empty.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(q)} returns the number of elements in the queue. Note that \\axiom{length(\\spad{q}) = \\spad{#q}}.")) (|rotate!| (($ $) "\\spad{rotate! q} rotates queue \\spad{q} so that the element at the front of the queue goes to the back of the queue. Note that rotate! \\spad{q} is equivalent to enqueue!(dequeue!(\\spad{q})).")) (|dequeue!| ((|#1| $) "\\spad{dequeue! s} destructively extracts the first (top) element from queue \\spad{q}. The element previously second in the queue becomes the first element. Error: if \\spad{q} is empty.")) (|enqueue!| ((|#1| |#1| $) "\\spad{enqueue!(x,{}q)} inserts \\spad{x} into the queue \\spad{q} at the back end."))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-996 S R) 
+(-997 S R) 
 ((|constructor| (NIL "\\spadtype{QuaternionCategory} describes the category of quaternions and implements functions that are not representation specific.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(q)} returns \\spad{q} as a rational number,{} or \"failed\" if this is not possible. Note that if \\spad{rational?(q)} is \\spad{true},{} the conversion can be done and the rational number will be returned.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(q)} tries to convert \\spad{q} into a rational number. Error: if this is not possible. If \\spad{rational?(q)} is \\spad{true},{} the conversion will be done and the rational number returned.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(q)} returns {\\it \\spad{true}} if all the imaginary parts of \\spad{q} are zero and the real part can be converted into a rational number,{} and {\\it \\spad{false}} otherwise.")) (|abs| ((|#2| $) "\\spad{abs(q)} computes the absolute value of quaternion \\spad{q} (sqrt of norm).")) (|real| ((|#2| $) "\\spad{real(q)} extracts the real part of quaternion \\spad{q}.")) (|quatern| (($ |#2| |#2| |#2| |#2|) "\\spad{quatern(r,{}i,{}j,{}k)} constructs a quaternion from scalars.")) (|norm| ((|#2| $) "\\spad{norm(q)} computes the norm of \\spad{q} (the sum of the squares of the components).")) (|imagK| ((|#2| $) "\\spad{imagK(q)} extracts the imaginary \\spad{k} part of quaternion \\spad{q}.")) (|imagJ| ((|#2| $) "\\spad{imagJ(q)} extracts the imaginary \\spad{j} part of quaternion \\spad{q}.")) (|imagI| ((|#2| $) "\\spad{imagI(q)} extracts the imaginary \\spad{i} part of quaternion \\spad{q}.")) (|conjugate| (($ $) "\\spad{conjugate(q)} negates the imaginary parts of quaternion \\spad{q}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-550))) (|HasCategory| |#2| (QUOTE (-1056))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-285)))) 
-(-997 R) 
+((|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-1057))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-286)))) 
+(-998 R) 
 ((|constructor| (NIL "\\spadtype{QuaternionCategory} describes the category of quaternions and implements functions that are not representation specific.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(q)} returns \\spad{q} as a rational number,{} or \"failed\" if this is not possible. Note that if \\spad{rational?(q)} is \\spad{true},{} the conversion can be done and the rational number will be returned.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(q)} tries to convert \\spad{q} into a rational number. Error: if this is not possible. If \\spad{rational?(q)} is \\spad{true},{} the conversion will be done and the rational number returned.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(q)} returns {\\it \\spad{true}} if all the imaginary parts of \\spad{q} are zero and the real part can be converted into a rational number,{} and {\\it \\spad{false}} otherwise.")) (|abs| ((|#1| $) "\\spad{abs(q)} computes the absolute value of quaternion \\spad{q} (sqrt of norm).")) (|real| ((|#1| $) "\\spad{real(q)} extracts the real part of quaternion \\spad{q}.")) (|quatern| (($ |#1| |#1| |#1| |#1|) "\\spad{quatern(r,{}i,{}j,{}k)} constructs a quaternion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(q)} computes the norm of \\spad{q} (the sum of the squares of the components).")) (|imagK| ((|#1| $) "\\spad{imagK(q)} extracts the imaginary \\spad{k} part of quaternion \\spad{q}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(q)} extracts the imaginary \\spad{j} part of quaternion \\spad{q}.")) (|imagI| ((|#1| $) "\\spad{imagI(q)} extracts the imaginary \\spad{i} part of quaternion \\spad{q}.")) (|conjugate| (($ $) "\\spad{conjugate(q)} negates the imaginary parts of quaternion \\spad{q}."))) 
-((-4514 |has| |#1| (-285)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4528 |has| |#1| (-286)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-998 QR R QS S) 
+(-999 QR R QS S) 
 ((|constructor| (NIL "\\spadtype{QuaternionCategoryFunctions2} implements functions between two quaternion domains. The function \\spadfun{map} is used by the system interpreter to coerce between quaternion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\indented{1}{map(\\spad{f},{}\\spad{u}) maps \\spad{f} onto the component parts of the quaternion \\spad{u}.} \\indented{1}{to convert an expression in Quaterion(\\spad{R}) to Quaternion(\\spad{S})} \\blankline \\spad{X} \\spad{f}(a:FRAC(INT)):COMPLEX(FRAC(INT)) \\spad{==} a::COMPLEX(FRAC(INT)) \\spad{X} q:=quatern(2/11,{}\\spad{-8},{}3/4,{}1) \\spad{X} map(\\spad{f},{}\\spad{q})"))) 
 NIL 
 NIL 
-(-999 R) 
+(-1000 R) 
 ((|constructor| (NIL "\\spadtype{Quaternion} implements quaternions over a commutative ring. The main constructor function is \\spadfun{quatern} which takes 4 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part and the \\spad{k} imaginary part."))) 
-((-4514 |has| |#1| (-285)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-285))) (-2199 (|HasCategory| |#1| (QUOTE (-285))) (|HasCategory| |#1| (QUOTE (-365)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -523) (QUOTE (-1161)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -281) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-1056))) (|HasCategory| |#1| (QUOTE (-550))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-365))))) 
-(-1000 S) 
-((|constructor| (NIL "Linked List implementation of a Queue")) (|member?| (((|Boolean|) |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} member?(3,{}a)")) (|members| (((|List| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} members a")) (|parts| (((|List| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} parts a")) (|#| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} \\#a")) (|count| (((|NonNegativeInteger|) |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} count(4,{}a)") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} count(\\spad{x+}->(\\spad{x>2}),{}a)")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} any?(\\spad{x+}->(\\spad{x=4}),{}a)")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} every?(\\spad{x+}->(\\spad{x=4}),{}a)")) (~= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} (a~=b)")) (= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} b:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} (a=b)@Boolean")) (|coerce| (((|OutputForm|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} coerce a")) (|hash| (((|SingleInteger|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} hash a")) (|latex| (((|String|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} latex a")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} map!(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} map(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|eq?| (((|Boolean|) $ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} eq?(a,{}\\spad{b})")) (|copy| (($ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} copy a")) (|sample| (($) "\\blankline \\spad{X} sample()\\$Queue(INT)")) (|empty| (($) "\\blankline \\spad{X} b:=empty()\\$(Queue INT)")) (|empty?| (((|Boolean|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} empty? a")) (|bag| (($ (|List| |#1|)) "\\blankline \\spad{X} bag([1,{}2,{}3,{}4,{}5])\\$Queue(INT)")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} size?(a,{}5)")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} more?(a,{}9)")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} less?(a,{}9)")) (|length| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} length a")) (|rotate!| (($ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} rotate! a")) (|back| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} back a")) (|front| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} front a")) (|inspect| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} inspect a")) (|insert!| (($ |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} insert! (8,{}a) \\spad{X} a")) (|enqueue!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} enqueue! (9,{}a) \\spad{X} a")) (|extract!| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} extract! a \\spad{X} a")) (|dequeue!| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} dequeue! a \\spad{X} a")) (|queue| (($ (|List| |#1|)) "\\indented{1}{queue([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) creates a queue with first (top)} \\indented{1}{element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}.} \\blankline \\spad{E} e:Queue INT:= queue [1,{}2,{}3,{}4,{}5]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
+((-4528 |has| |#1| (-286)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-286))) (-2232 (|HasCategory| |#1| (QUOTE (-286))) (|HasCategory| |#1| (QUOTE (-366)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -524) (QUOTE (-1163)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -282) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-1057))) (|HasCategory| |#1| (QUOTE (-551))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-366))))) 
 (-1001 S) 
+((|constructor| (NIL "Linked List implementation of a Queue")) (|member?| (((|Boolean|) |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} member?(3,{}a)")) (|members| (((|List| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} members a")) (|parts| (((|List| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} parts a")) (|#| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} \\#a")) (|count| (((|NonNegativeInteger|) |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} count(4,{}a)") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} count(\\spad{x+}->(\\spad{x>2}),{}a)")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} any?(\\spad{x+}->(\\spad{x=4}),{}a)")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} every?(\\spad{x+}->(\\spad{x=4}),{}a)")) (~= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} (a~=b)")) (= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} b:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} (a=b)@Boolean")) (|coerce| (((|OutputForm|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} coerce a")) (|hash| (((|SingleInteger|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} hash a")) (|latex| (((|String|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} latex a")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} map!(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} map(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|eq?| (((|Boolean|) $ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} eq?(a,{}\\spad{b})")) (|copy| (($ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} copy a")) (|sample| (($) "\\blankline \\spad{X} sample()\\$Queue(INT)")) (|empty| (($) "\\blankline \\spad{X} b:=empty()\\$(Queue INT)")) (|empty?| (((|Boolean|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} empty? a")) (|bag| (($ (|List| |#1|)) "\\blankline \\spad{X} bag([1,{}2,{}3,{}4,{}5])\\$Queue(INT)")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} size?(a,{}5)")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} more?(a,{}9)")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} less?(a,{}9)")) (|length| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} length a")) (|rotate!| (($ $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} rotate! a")) (|back| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} back a")) (|front| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} front a")) (|inspect| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} inspect a")) (|insert!| (($ |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} insert! (8,{}a) \\spad{X} a")) (|enqueue!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} enqueue! (9,{}a) \\spad{X} a")) (|extract!| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} extract! a \\spad{X} a")) (|dequeue!| ((|#1| $) "\\blankline \\spad{X} a:Queue INT:= queue [1,{}2,{}3,{}4,{}5] \\spad{X} dequeue! a \\spad{X} a")) (|queue| (($ (|List| |#1|)) "\\indented{1}{queue([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) creates a queue with first (top)} \\indented{1}{element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}.} \\blankline \\spad{E} e:Queue INT:= queue [1,{}2,{}3,{}4,{}5]"))) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-1002 S) 
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,{}n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
 NIL 
-(-1002) 
+(-1003) 
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,{}n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
 NIL 
-(-1003 -1478 UP UPUP |radicnd| |n|) 
+(-1004 -1564 UP UPUP |radicnd| |n|) 
 ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) 
-((-4514 |has| (-409 |#2|) (-365)) (-4519 |has| (-409 |#2|) (-365)) (-4513 |has| (-409 |#2|) (-365)) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-409 |#2|) (QUOTE (-148))) (|HasCategory| (-409 |#2|) (QUOTE (-150))) (|HasCategory| (-409 |#2|) (QUOTE (-350))) (|HasCategory| (-409 |#2|) (QUOTE (-365))) (-2199 (|HasCategory| (-409 |#2|) (QUOTE (-365))) (|HasCategory| (-409 |#2|) (QUOTE (-350)))) (|HasCategory| (-409 |#2|) (QUOTE (-370))) (|HasCategory| (-409 |#2|) (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| (-409 |#2|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-409 |#2|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-370))) (-2199 (|HasCategory| (-409 |#2|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-12 (|HasCategory| (-409 |#2|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-2199 (-12 (|HasCategory| (-409 |#2|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-12 (|HasCategory| (-409 |#2|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-409 |#2|) (QUOTE (-350))))) (-12 (|HasCategory| (-409 |#2|) (QUOTE (-225))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (-2199 (-12 (|HasCategory| (-409 |#2|) (QUOTE (-225))) (|HasCategory| (-409 |#2|) (QUOTE (-365)))) (|HasCategory| (-409 |#2|) (QUOTE (-350))))) 
-(-1004 |bb|) 
+((-4528 |has| (-410 |#2|) (-366)) (-4533 |has| (-410 |#2|) (-366)) (-4527 |has| (-410 |#2|) (-366)) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-410 |#2|) (QUOTE (-149))) (|HasCategory| (-410 |#2|) (QUOTE (-151))) (|HasCategory| (-410 |#2|) (QUOTE (-351))) (|HasCategory| (-410 |#2|) (QUOTE (-366))) (-2232 (|HasCategory| (-410 |#2|) (QUOTE (-366))) (|HasCategory| (-410 |#2|) (QUOTE (-351)))) (|HasCategory| (-410 |#2|) (QUOTE (-371))) (|HasCategory| (-410 |#2|) (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| (-410 |#2|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-410 |#2|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-371))) (-2232 (|HasCategory| (-410 |#2|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-12 (|HasCategory| (-410 |#2|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-2232 (-12 (|HasCategory| (-410 |#2|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-12 (|HasCategory| (-410 |#2|) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-410 |#2|) (QUOTE (-351))))) (-12 (|HasCategory| (-410 |#2|) (QUOTE (-226))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (-2232 (-12 (|HasCategory| (-410 |#2|) (QUOTE (-226))) (|HasCategory| (-410 |#2|) (QUOTE (-366)))) (|HasCategory| (-410 |#2|) (QUOTE (-351))))) 
+(-1005 |bb|) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,{}cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. \\spadignore{e.g.} \\spad{fractRadix([1],{}[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,{}3,{}4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,{}1,{}4,{}2,{}8,{}5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,{}0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion.")) (|coerce| (((|Fraction| (|Integer|)) $) "\\spad{coerce(rx)} converts a radix expansion to a rational number."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-568) (QUOTE (-904))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-1161)))) (|HasCategory| (-568) (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-150))) (|HasCategory| (-568) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-568) (QUOTE (-1021))) (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-1136))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| (-568) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| (-568) (QUOTE (-225))) (|HasCategory| (-568) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| (-568) (LIST (QUOTE -523) (QUOTE (-1161)) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -303) (QUOTE (-568)))) (|HasCategory| (-568) (LIST (QUOTE -281) (QUOTE (-568)) (QUOTE (-568)))) (|HasCategory| (-568) (QUOTE (-301))) (|HasCategory| (-568) (QUOTE (-550))) (|HasCategory| (-568) (QUOTE (-842))) (-2199 (|HasCategory| (-568) (QUOTE (-815))) (|HasCategory| (-568) (QUOTE (-842)))) (|HasCategory| (-568) (LIST (QUOTE -630) (QUOTE (-568)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| (-568) (QUOTE (-904)))) (|HasCategory| (-568) (QUOTE (-148))))) 
-(-1005) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-569) (QUOTE (-905))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-1163)))) (|HasCategory| (-569) (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-151))) (|HasCategory| (-569) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-569) (QUOTE (-1022))) (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-1137))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| (-569) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| (-569) (QUOTE (-226))) (|HasCategory| (-569) (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| (-569) (LIST (QUOTE -524) (QUOTE (-1163)) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (LIST (QUOTE -282) (QUOTE (-569)) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-302))) (|HasCategory| (-569) (QUOTE (-551))) (|HasCategory| (-569) (QUOTE (-843))) (-2232 (|HasCategory| (-569) (QUOTE (-816))) (|HasCategory| (-569) (QUOTE (-843)))) (|HasCategory| (-569) (LIST (QUOTE -631) (QUOTE (-569)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-569) (QUOTE (-905)))) (|HasCategory| (-569) (QUOTE (-149))))) 
+(-1006) 
 ((|constructor| (NIL "This package provides tools for creating radix expansions.")) (|radix| (((|Any|) (|Fraction| (|Integer|)) (|Integer|)) "\\spad{radix(x,{}b)} converts \\spad{x} to a radix expansion in base \\spad{b}."))) 
 NIL 
 NIL 
-(-1006) 
+(-1007) 
 ((|constructor| (NIL "Random number generators. All random numbers used in the system should originate from the same generator. This package is intended to be the source.")) (|seed| (((|Integer|)) "\\spad{seed()} returns the current seed value.")) (|reseed| (((|Void|) (|Integer|)) "\\spad{reseed(n)} restarts the random number generator at \\spad{n}.")) (|size| (((|Integer|)) "\\spad{size()} is the base of the random number generator")) (|randnum| (((|Integer|) (|Integer|)) "\\spad{randnum(n)} is a random number between 0 and \\spad{n}.") (((|Integer|)) "\\spad{randnum()} is a random number between 0 and size()."))) 
 NIL 
 NIL 
-(-1007 RP) 
+(-1008 RP) 
 ((|constructor| (NIL "Factorization of extended polynomials with rational coefficients. This package implements factorization of extended polynomials whose coefficients are rational numbers. It does this by taking the \\spad{lcm} of the coefficients of the polynomial and creating a polynomial with integer coefficients. The algorithm in \\spadtype{GaloisGroupFactorizer} is then used to factor the integer polynomial. The result is normalized with respect to the original \\spad{lcm} of the denominators.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} factors an extended squareFree polynomial \\spad{p} over the rational numbers.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} factors an extended polynomial \\spad{p} over the rational numbers."))) 
 NIL 
 NIL 
-(-1008 S) 
+(-1009 S) 
 ((|constructor| (NIL "Rational number testing and retraction functions.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") |#1|) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} \"failed\" if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) |#1|) "\\spad{rational?(x)} returns \\spad{true} if \\spad{x} is a rational number,{} \\spad{false} otherwise.")) (|rational| (((|Fraction| (|Integer|)) |#1|) "\\spad{rational(x)} returns \\spad{x} as a rational number; error if \\spad{x} is not a rational number."))) 
 NIL 
 NIL 
-(-1009 A S) 
+(-1010 A S) 
 ((|constructor| (NIL "A recursive aggregate over a type \\spad{S} is a model for a a directed graph containing values of type \\spad{S}. Recursively,{} a recursive aggregate is a node consisting of a \\spadfun{value} from \\spad{S} and 0 or more \\spadfun{children} which are recursive aggregates. A node with no children is called a \\spadfun{leaf} node. A recursive aggregate may be cyclic for which some operations as noted may go into an infinite loop.")) (|setvalue!| ((|#2| $ |#2|) "\\spad{setvalue!(u,{}x)} sets the value of node \\spad{u} to \\spad{x}.")) (|setelt| ((|#2| $ "value" |#2|) "\\spad{setelt(a,{}\"value\",{}x)} (also written \\axiom{a . value \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setvalue!(a,{}\\spad{x})}")) (|setchildren!| (($ $ (|List| $)) "\\spad{setchildren!(u,{}v)} replaces the current children of node \\spad{u} with the members of \\spad{v} in left-to-right order.")) (|node?| (((|Boolean|) $ $) "\\spad{node?(u,{}v)} tests if node \\spad{u} is contained in node \\spad{v} (either as a child,{} a child of a child,{} etc.).")) (|child?| (((|Boolean|) $ $) "\\spad{child?(u,{}v)} tests if node \\spad{u} is a child of node \\spad{v}.")) (|distance| (((|Integer|) $ $) "\\spad{distance(u,{}v)} returns the path length (an integer) from node \\spad{u} to \\spad{v}.")) (|leaves| (((|List| |#2|) $) "\\spad{leaves(t)} returns the list of values in obtained by visiting the nodes of tree \\axiom{\\spad{t}} in left-to-right order.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(u)} tests if \\spad{u} has a cycle.")) (|elt| ((|#2| $ "value") "\\spad{elt(u,{}\"value\")} (also written: \\axiom{a. value}) is equivalent to \\axiom{value(a)}.")) (|value| ((|#2| $) "\\spad{value(u)} returns the value of the node \\spad{u}.")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(u)} tests if \\spad{u} is a terminal node.")) (|nodes| (((|List| $) $) "\\spad{nodes(u)} returns a list of all of the nodes of aggregate \\spad{u}.")) (|children| (((|List| $) $) "\\spad{children(u)} returns a list of the children of aggregate \\spad{u}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4522)) (|HasCategory| |#2| (QUOTE (-1090)))) 
-(-1010 S) 
+((|HasAttribute| |#1| (QUOTE -4536)) (|HasCategory| |#2| (QUOTE (-1091)))) 
+(-1011 S) 
 ((|constructor| (NIL "A recursive aggregate over a type \\spad{S} is a model for a a directed graph containing values of type \\spad{S}. Recursively,{} a recursive aggregate is a node consisting of a \\spadfun{value} from \\spad{S} and 0 or more \\spadfun{children} which are recursive aggregates. A node with no children is called a \\spadfun{leaf} node. A recursive aggregate may be cyclic for which some operations as noted may go into an infinite loop.")) (|setvalue!| ((|#1| $ |#1|) "\\spad{setvalue!(u,{}x)} sets the value of node \\spad{u} to \\spad{x}.")) (|setelt| ((|#1| $ "value" |#1|) "\\spad{setelt(a,{}\"value\",{}x)} (also written \\axiom{a . value \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setvalue!(a,{}\\spad{x})}")) (|setchildren!| (($ $ (|List| $)) "\\spad{setchildren!(u,{}v)} replaces the current children of node \\spad{u} with the members of \\spad{v} in left-to-right order.")) (|node?| (((|Boolean|) $ $) "\\spad{node?(u,{}v)} tests if node \\spad{u} is contained in node \\spad{v} (either as a child,{} a child of a child,{} etc.).")) (|child?| (((|Boolean|) $ $) "\\spad{child?(u,{}v)} tests if node \\spad{u} is a child of node \\spad{v}.")) (|distance| (((|Integer|) $ $) "\\spad{distance(u,{}v)} returns the path length (an integer) from node \\spad{u} to \\spad{v}.")) (|leaves| (((|List| |#1|) $) "\\spad{leaves(t)} returns the list of values in obtained by visiting the nodes of tree \\axiom{\\spad{t}} in left-to-right order.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(u)} tests if \\spad{u} has a cycle.")) (|elt| ((|#1| $ "value") "\\spad{elt(u,{}\"value\")} (also written: \\axiom{a. value}) is equivalent to \\axiom{value(a)}.")) (|value| ((|#1| $) "\\spad{value(u)} returns the value of the node \\spad{u}.")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(u)} tests if \\spad{u} is a terminal node.")) (|nodes| (((|List| $) $) "\\spad{nodes(u)} returns a list of all of the nodes of aggregate \\spad{u}.")) (|children| (((|List| $) $) "\\spad{children(u)} returns a list of the children of aggregate \\spad{u}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-1011 S) 
+(-1012 S) 
 ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|NonNegativeInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) 
 NIL 
 NIL 
-(-1012) 
+(-1013) 
 ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|NonNegativeInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) 
-((-4514 . T) (-4519 . T) (-4513 . T) (-4516 . T) (-4515 . T) ((-4523 "*") . T) (-4518 . T)) 
+((-4528 . T) (-4533 . T) (-4527 . T) (-4530 . T) (-4529 . T) ((-4537 "*") . T) (-4532 . T)) 
 NIL 
-(-1013 R -1478) 
+(-1014 R -1564) 
 ((|constructor| (NIL "Risch differential equation,{} elementary case.")) (|rischDE| (((|Record| (|:| |ans| |#2|) (|:| |right| |#2|) (|:| |sol?| (|Boolean|))) (|Integer|) |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDE(n,{} f,{} g,{} x,{} lim,{} ext)} returns \\spad{[y,{} h,{} b]} such that \\spad{dy/dx + n df/dx y = h} and \\spad{b := h = g}. The equation \\spad{dy/dx + n df/dx y = g} has no solution if \\spad{h \\~~= g} (\\spad{y} is a partial solution in that case). Notes: \\spad{lim} is a limited integration function,{} and ext is an extended integration function."))) 
 NIL 
 NIL 
-(-1014 R -1478) 
+(-1015 R -1564) 
 ((|constructor| (NIL "Risch differential equation,{} elementary case.")) (|rischDEsys| (((|Union| (|List| |#2|) "failed") (|Integer|) |#2| |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDEsys(n,{} f,{} g_1,{} g_2,{} x,{}lim,{}ext)} returns \\spad{y_1.y_2} such that \\spad{(dy1/dx,{}dy2/dx) + ((0,{} - n df/dx),{}(n df/dx,{}0)) (y1,{}y2) = (g1,{}g2)} if \\spad{y_1,{}y_2} exist,{} \"failed\" otherwise. \\spad{lim} is a limited integration function,{} \\spad{ext} is an extended integration function."))) 
 NIL 
 NIL 
-(-1015 -1478 UP) 
+(-1016 -1564 UP) 
 ((|constructor| (NIL "Risch differential equation,{} transcendental case.")) (|polyRDE| (((|Union| (|:| |ans| (|Record| (|:| |ans| |#2|) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| |#2|) (|:| |c| |#2|) (|:| |m| (|Integer|)) (|:| |alpha| |#2|) (|:| |beta| |#2|)))) |#2| |#2| |#2| (|Integer|) (|Mapping| |#2| |#2|)) "\\spad{polyRDE(a,{} B,{} C,{} n,{} D)} returns either: 1. \\spad{[Q,{} b]} such that \\spad{degree(Q) <= n} and \\indented{3}{\\spad{a Q'+ B Q = C} if \\spad{b = true},{} \\spad{Q} is a partial solution} \\indented{3}{otherwise.} 2. \\spad{[B1,{} C1,{} m,{} \\alpha,{} \\beta]} such that any polynomial solution \\indented{3}{of degree at most \\spad{n} of \\spad{A Q' + BQ = C} must be of the form} \\indented{3}{\\spad{Q = \\alpha H + \\beta} where \\spad{degree(H) <= m} and} \\indented{3}{\\spad{H} satisfies \\spad{H' + B1 H = C1}.} \\spad{D} is the derivation to use.")) (|baseRDE| (((|Record| (|:| |ans| (|Fraction| |#2|)) (|:| |nosol| (|Boolean|))) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDE(f,{} g)} returns a \\spad{[y,{} b]} such that \\spad{y' + fy = g} if \\spad{b = true},{} \\spad{y} is a partial solution otherwise (no solution in that case). \\spad{D} is the derivation to use.")) (|monomRDE| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |c| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDE(f,{}g,{}D)} returns \\spad{[A,{} B,{} C,{} T]} such that \\spad{y' + f y = g} has a solution if and only if \\spad{y = Q / T},{} where \\spad{Q} satisfies \\spad{A Q' + B Q = C} and has no normal pole. A and \\spad{T} are polynomials and \\spad{B} and \\spad{C} have no normal poles. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
-(-1016 -1478 UP) 
+(-1017 -1564 UP) 
 ((|constructor| (NIL "Risch differential equation system,{} transcendental case.")) (|baseRDEsys| (((|Union| (|List| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDEsys(f,{} g1,{} g2)} returns fractions \\spad{y_1.y_2} such that \\spad{(y1',{} y2') + ((0,{} -f),{} (f,{} 0)) (y1,{}y2) = (g1,{}g2)} if \\spad{y_1,{}y_2} exist,{} \"failed\" otherwise.")) (|monomRDEsys| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |h| |#2|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDEsys(f,{}g1,{}g2,{}D)} returns \\spad{[A,{} B,{} H,{} C1,{} C2,{} T]} such that \\spad{(y1',{} y2') + ((0,{} -f),{} (f,{} 0)) (y1,{}y2) = (g1,{}g2)} has a solution if and only if \\spad{y1 = Q1 / T,{} y2 = Q2 / T},{} where \\spad{B,{}C1,{}C2,{}Q1,{}Q2} have no normal poles and satisfy A \\spad{(Q1',{} Q2') + ((H,{} -B),{} (B,{} H)) (Q1,{}Q2) = (C1,{}C2)} \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
-(-1017 S) 
+(-1018 S) 
 ((|constructor| (NIL "This package exports random distributions")) (|rdHack1| (((|Mapping| |#1|) (|Vector| |#1|) (|Vector| (|Integer|)) (|Integer|)) "\\spad{rdHack1(v,{}u,{}n)} \\undocumented")) (|weighted| (((|Mapping| |#1|) (|List| (|Record| (|:| |value| |#1|) (|:| |weight| (|Integer|))))) "\\spad{weighted(l)} \\undocumented")) (|uniform| (((|Mapping| |#1|) (|Set| |#1|)) "\\spad{uniform(s)} \\undocumented"))) 
 NIL 
 NIL 
-(-1018 F1 UP UPUP R F2) 
+(-1019 F1 UP UPUP R F2) 
 ((|constructor| (NIL "Finds the order of a divisor over a finite field")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|) |#3| (|Mapping| |#5| |#1|)) "\\spad{order(f,{}u,{}g)} \\undocumented"))) 
 NIL 
 NIL 
-(-1019 |Pol|) 
+(-1020 |Pol|) 
 ((|constructor| (NIL "This package provides functions for finding the real zeros of univariate polynomials over the integers to arbitrary user-specified precision. The results are returned as a list of isolating intervals which are expressed as records with \"left\" and \"right\" rational number components.")) (|midpoints| (((|List| (|Fraction| (|Integer|))) (|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))))) "\\spad{midpoints(isolist)} returns the list of midpoints for the list of intervals \\spad{isolist}.")) (|midpoint| (((|Fraction| (|Integer|)) (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) "\\spad{midpoint(int)} returns the midpoint of the interval \\spad{int}.")) (|refine| (((|Union| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) "failed") |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) "\\spad{refine(pol,{} int,{} range)} takes a univariate polynomial \\spad{pol} and and isolating interval \\spad{int} containing exactly one real root of \\spad{pol}; the operation returns an isolating interval which is contained within range,{} or \"failed\" if no such isolating interval exists.") (((|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) (|Fraction| (|Integer|))) "\\spad{refine(pol,{} int,{} eps)} refines the interval \\spad{int} containing exactly one root of the univariate polynomial \\spad{pol} to size less than the rational number eps.")) (|realZeros| (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) (|Fraction| (|Integer|))) "\\spad{realZeros(pol,{} int,{} eps)} returns a list of intervals of length less than the rational number eps for all the real roots of the polynomial \\spad{pol} which lie in the interval expressed by the record \\spad{int}.") (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1| (|Fraction| (|Integer|))) "\\spad{realZeros(pol,{} eps)} returns a list of intervals of length less than the rational number eps for all the real roots of the polynomial \\spad{pol}.") (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) "\\spad{realZeros(pol,{} range)} returns a list of isolating intervals for all the real zeros of the univariate polynomial \\spad{pol} which lie in the interval expressed by the record range.") (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1|) "\\spad{realZeros(pol)} returns a list of isolating intervals for all the real zeros of the univariate polynomial \\spad{pol}."))) 
 NIL 
 NIL 
-(-1020 |Pol|) 
+(-1021 |Pol|) 
 ((|constructor| (NIL "This package provides functions for finding the real zeros of univariate polynomials over the rational numbers to arbitrary user-specified precision. The results are returned as a list of isolating intervals,{} expressed as records with \"left\" and \"right\" rational number components.")) (|refine| (((|Union| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) "failed") |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) "\\spad{refine(pol,{} int,{} range)} takes a univariate polynomial \\spad{pol} and and isolating interval \\spad{int} which must contain exactly one real root of \\spad{pol},{} and returns an isolating interval which is contained within range,{} or \"failed\" if no such isolating interval exists.") (((|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) (|Fraction| (|Integer|))) "\\spad{refine(pol,{} int,{} eps)} refines the interval \\spad{int} containing exactly one root of the univariate polynomial \\spad{pol} to size less than the rational number eps.")) (|realZeros| (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|)))) (|Fraction| (|Integer|))) "\\spad{realZeros(pol,{} int,{} eps)} returns a list of intervals of length less than the rational number eps for all the real roots of the polynomial \\spad{pol} which lie in the interval expressed by the record \\spad{int}.") (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1| (|Fraction| (|Integer|))) "\\spad{realZeros(pol,{} eps)} returns a list of intervals of length less than the rational number eps for all the real roots of the polynomial \\spad{pol}.") (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) "\\spad{realZeros(pol,{} range)} returns a list of isolating intervals for all the real zeros of the univariate polynomial \\spad{pol} which lie in the interval expressed by the record range.") (((|List| (|Record| (|:| |left| (|Fraction| (|Integer|))) (|:| |right| (|Fraction| (|Integer|))))) |#1|) "\\spad{realZeros(pol)} returns a list of isolating intervals for all the real zeros of the univariate polynomial \\spad{pol}."))) 
 NIL 
 NIL 
-(-1021) 
+(-1022) 
 ((|constructor| (NIL "The category of real numeric domains,{} \\spadignore{i.e.} convertible to floats."))) 
 NIL 
 NIL 
-(-1022) 
+(-1023) 
 ((|constructor| (NIL "This package provides numerical solutions of systems of polynomial equations for use in ACPLOT")) (|realSolve| (((|List| (|List| (|Float|))) (|List| (|Polynomial| (|Integer|))) (|List| (|Symbol|)) (|Float|)) "\\indented{1}{realSolve(\\spad{lp},{}\\spad{lv},{}eps) = compute the list of the real} \\indented{1}{solutions of the list \\spad{lp} of polynomials with integer} \\indented{1}{coefficients with respect to the variables in \\spad{lv},{}} \\indented{1}{with precision eps.} \\blankline \\spad{X} \\spad{p1} \\spad{:=} x**2*y*z + \\spad{y*z} \\spad{X} \\spad{p2} \\spad{:=} x**2*y**2*z + \\spad{x} + \\spad{z} \\spad{X} \\spad{p3} \\spad{:=} \\spad{x**2*y**2*z**2} + \\spad{z} + 1 \\spad{X} \\spad{lp} \\spad{:=} [\\spad{p1},{} \\spad{p2},{} \\spad{p3}] \\spad{X} realSolve(\\spad{lp},{}[\\spad{x},{}\\spad{y},{}\\spad{z}],{}0.01)")) (|solve| (((|List| (|Float|)) (|Polynomial| (|Integer|)) (|Float|)) "\\indented{1}{solve(\\spad{p},{}eps) finds the real zeroes of a univariate} \\indented{1}{integer polynomial \\spad{p} with precision eps.} \\blankline \\spad{X} \\spad{p} \\spad{:=} 4*x^3 - 3*x^2 + 2*x - 4 \\spad{X} solve(\\spad{p},{}0.01)\\$REALSOLV") (((|List| (|Float|)) (|Polynomial| (|Fraction| (|Integer|))) (|Float|)) "\\indented{1}{solve(\\spad{p},{}eps) finds the real zeroes of a} \\indented{1}{univariate rational polynomial \\spad{p} with precision eps.} \\blankline \\spad{X} \\spad{p} \\spad{:=} 4*x^3 - 3*x^2 + 2*x - 4 \\spad{X} solve(p::POLY(FRAC(INT)),{}0.01)\\$REALSOLV"))) 
 NIL 
 NIL 
-(-1023 |TheField|) 
+(-1024 |TheField|) 
 ((|constructor| (NIL "This domain implements the real closure of an ordered field.")) (|relativeApprox| (((|Fraction| (|Integer|)) $ $) "\\axiom{relativeApprox(\\spad{n},{}\\spad{p})} gives a relative approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|mainCharacterization| (((|Union| (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) "failed") $) "\\axiom{mainCharacterization(\\spad{x})} is the main algebraic quantity of \\axiom{\\spad{x}} (\\axiom{SEG})")) (|algebraicOf| (($ (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) (|OutputForm|)) "\\axiom{algebraicOf(char)} is the external number"))) 
-((-4514 . T) (-4519 . T) (-4513 . T) (-4516 . T) (-4515 . T) ((-4523 "*") . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-409 (-568)) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-409 (-568)) (LIST (QUOTE -1037) (QUOTE (-568)))) (-2199 (|HasCategory| (-409 (-568)) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))))) 
-(-1024 R -1478) 
+((-4528 . T) (-4533 . T) (-4527 . T) (-4530 . T) (-4529 . T) ((-4537 "*") . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-410 (-569)) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-410 (-569)) (LIST (QUOTE -1038) (QUOTE (-569)))) (-2232 (|HasCategory| (-410 (-569)) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))))) 
+(-1025 R -1564) 
 ((|constructor| (NIL "This package provides an operator for the \\spad{n}-th term of a recurrence and an operator for the coefficient of \\spad{x^n} in a function specified by a functional equation.")) (|getOp| (((|BasicOperator|) |#2|) "\\spad{getOp f},{} if \\spad{f} represents the coefficient of a recurrence or ADE,{} returns the operator representing the solution")) (|getEq| ((|#2| |#2|) "\\spad{getEq f} returns the defining equation,{} if \\spad{f} represents the coefficient of an ADE or a recurrence.")) (|evalADE| ((|#2| (|BasicOperator|) (|Symbol|) |#2| |#2| |#2| (|List| |#2|)) "\\spad{evalADE(f,{} dummy,{} x,{} n,{} eq,{} values)} creates an expression that stands for the coefficient of \\spad{x^n} in the Taylor expansion of \\spad{f}(\\spad{x}),{} where \\spad{f}(\\spad{x}) is given by the functional equation \\spad{eq}. However,{} for technical reasons the variable \\spad{x} has to be replaced by a \\spad{dummy} variable \\spad{dummy} in \\spad{eq}. The argument values specifies the first few Taylor coefficients.")) (|evalRec| ((|#2| (|BasicOperator|) (|Symbol|) |#2| |#2| |#2| (|List| |#2|)) "\\spad{evalRec(u,{} dummy,{} n,{} n0,{} eq,{} values)} creates an expression that stands for \\spad{u}(\\spad{n0}),{} where \\spad{u}(\\spad{n}) is given by the equation \\spad{eq}. However,{} for technical reasons the variable \\spad{n} has to be replaced by a \\spad{dummy} variable \\spad{dummy} in \\spad{eq}. The argument values specifies the initial values of the recurrence \\spad{u}(0),{} \\spad{u}(1),{}... For the moment we don\\spad{'t} allow recursions that contain \\spad{u} inside of another operator."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-1047)))) 
-(-1025 -1478 L) 
+((|HasCategory| |#1| (QUOTE (-1048)))) 
+(-1026 -1564 L) 
 ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op,{} [f1,{}...,{}fk])} returns \\spad{[op1,{}[g1,{}...,{}gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{\\spad{fi}} must satisfy \\spad{op \\spad{fi} = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op,{} s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) 
 NIL 
 NIL 
-(-1026 S) 
+(-1027 S) 
 ((|constructor| (NIL "\\spadtype{Reference} is for making a changeable instance of something.")) (= (((|Boolean|) $ $) "\\spad{a=b} tests if \\spad{a} and \\spad{b} are equal.")) (|setref| ((|#1| $ |#1|) "\\spad{setref(n,{}m)} same as \\spad{setelt(n,{}m)}.")) (|deref| ((|#1| $) "\\spad{deref(n)} is equivalent to \\spad{elt(n)}.")) (|setelt| ((|#1| $ |#1|) "\\spad{setelt(n,{}m)} changes the value of the object \\spad{n} to \\spad{m}.")) (|elt| ((|#1| $) "\\spad{elt(n)} returns the object \\spad{n}.")) (|ref| (($ |#1|) "\\spad{ref(n)} creates a pointer (reference) to the object \\spad{n}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-1090)))) 
-(-1027 R E V P) 
+((|HasCategory| |#1| (QUOTE (-1091)))) 
+(-1028 R E V P) 
 ((|constructor| (NIL "This domain provides an implementation of regular chains. Moreover,{} the operation zeroSetSplit is an implementation of a new algorithm for solving polynomial systems by means of regular chains.")) (|preprocess| (((|Record| (|:| |val| (|List| |#4|)) (|:| |towers| (|List| $))) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{pre_process(\\spad{lp},{}\\spad{b1},{}\\spad{b2})} is an internal subroutine,{} exported only for developement.")) (|internalZeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalZeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3})} is an internal subroutine,{} exported only for developement.")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2}.\\spad{b3},{}\\spad{b4})} is an internal subroutine,{} exported only for developement.") (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}clos?,{}info?)} has the same specifications as zeroSetSplit from RegularTriangularSetCategory. Moreover,{} if \\axiom{clos?} then solves in the sense of the Zariski closure else solves in the sense of the regular zeros. If \\axiom{info?} then do print messages during the computations.")) (|internalAugment| (((|List| $) |#4| $ (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalAugment(\\spad{p},{}\\spad{ts},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3},{}\\spad{b4},{}\\spad{b5})} is an internal subroutine,{} exported only for developement."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#4| (QUOTE (-1090))) (-12 (|HasCategory| |#4| (LIST (QUOTE -303) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#3| (QUOTE (-370)))) 
-(-1028 R) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#4| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#4| (QUOTE (-1091))) (-12 (|HasCategory| |#4| (LIST (QUOTE -304) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#3| (QUOTE (-371)))) 
+(-1029 R) 
 ((|constructor| (NIL "\\spad{RepresentationPackage1} provides functions for representation theory for finite groups and algebras. The package creates permutation representations and uses tensor products and its symmetric and antisymmetric components to create new representations of larger degree from given ones. Note that instead of having parameters from \\spadtype{Permutation} this package allows list notation of permutations as well: \\spadignore{e.g.} \\spad{[1,{}4,{}3,{}2]} denotes permutes 2 and 4 and fixes 1 and 3.")) (|permutationRepresentation| (((|List| (|Matrix| (|Integer|))) (|List| (|List| (|Integer|)))) "\\spad{permutationRepresentation([pi1,{}...,{}pik],{}n)} returns the list of matrices [(deltai,{}\\spad{pi1}(\\spad{i})),{}...,{}(deltai,{}pik(\\spad{i}))] if the permutations \\spad{pi1},{}...,{}pik are in list notation and are permuting {1,{}2,{}...,{}\\spad{n}}.") (((|List| (|Matrix| (|Integer|))) (|List| (|Permutation| (|Integer|))) (|Integer|)) "\\spad{permutationRepresentation([pi1,{}...,{}pik],{}n)} returns the list of matrices [(deltai,{}\\spad{pi1}(\\spad{i})),{}...,{}(deltai,{}pik(\\spad{i}))] (Kronecker delta) for the permutations \\spad{pi1},{}...,{}pik of {1,{}2,{}...,{}\\spad{n}}.") (((|Matrix| (|Integer|)) (|List| (|Integer|))) "\\spad{permutationRepresentation(\\spad{pi},{}n)} returns the matrix (deltai,{}\\spad{pi}(\\spad{i})) (Kronecker delta) if the permutation \\spad{pi} is in list notation and permutes {1,{}2,{}...,{}\\spad{n}}.") (((|Matrix| (|Integer|)) (|Permutation| (|Integer|)) (|Integer|)) "\\spad{permutationRepresentation(\\spad{pi},{}n)} returns the matrix (deltai,{}\\spad{pi}(\\spad{i})) (Kronecker delta) for a permutation \\spad{pi} of {1,{}2,{}...,{}\\spad{n}}.")) (|tensorProduct| (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{tensorProduct([a1,{}...ak])} calculates the list of Kronecker products of each matrix \\spad{ai} with itself for {1 \\spad{<=} \\spad{i} \\spad{<=} \\spad{k}}. Note that if the list of matrices corresponds to a group representation (repr. of generators) of one group,{} then these matrices correspond to the tensor product of the representation with itself.") (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{tensorProduct(a)} calculates the Kronecker product of the matrix a with itself.") (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{tensorProduct([a1,{}...,{}ak],{}[b1,{}...,{}bk])} calculates the list of Kronecker products of the matrices \\spad{ai} and \\spad{bi} for {1 \\spad{<=} \\spad{i} \\spad{<=} \\spad{k}}. Note that if each list of matrices corresponds to a group representation (repr. of generators) of one group,{} then these matrices correspond to the tensor product of the two representations.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{tensorProduct(a,{}b)} calculates the Kronecker product of the matrices a and \\spad{b}. Note that if each matrix corresponds to a group representation (repr. of generators) of one group,{} then these matrices correspond to the tensor product of the two representations.")) (|symmetricTensors| (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|PositiveInteger|)) "\\spad{symmetricTensors(la,{}n)} applies to each \\spad{m}-by-\\spad{m} square matrix in the list \\spad{la} the irreducible,{} polynomial representation of the general linear group \\spad{GLm} which corresponds to the partition (\\spad{n},{}0,{}...,{}0) of \\spad{n}. Error: if the matrices in \\spad{la} are not square matrices. Note that this corresponds to the symmetrization of the representation with the trivial representation of the symmetric group \\spad{Sn}. The carrier spaces of the representation are the symmetric tensors of the \\spad{n}-fold tensor product.") (((|Matrix| |#1|) (|Matrix| |#1|) (|PositiveInteger|)) "\\spad{symmetricTensors(a,{}n)} applies to the \\spad{m}-by-\\spad{m} square matrix a the irreducible,{} polynomial representation of the general linear group \\spad{GLm} which corresponds to the partition (\\spad{n},{}0,{}...,{}0) of \\spad{n}. Error: if a is not a square matrix. Note that this corresponds to the symmetrization of the representation with the trivial representation of the symmetric group \\spad{Sn}. The carrier spaces of the representation are the symmetric tensors of the \\spad{n}-fold tensor product.")) (|createGenericMatrix| (((|Matrix| (|Polynomial| |#1|)) (|NonNegativeInteger|)) "\\spad{createGenericMatrix(m)} creates a square matrix of dimension \\spad{k} whose entry at the \\spad{i}-th row and \\spad{j}-th column is the indeterminate \\spad{x}[\\spad{i},{}\\spad{j}] (double subscripted).")) (|antisymmetricTensors| (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|PositiveInteger|)) "\\spad{antisymmetricTensors(la,{}n)} applies to each \\spad{m}-by-\\spad{m} square matrix in the list \\spad{la} the irreducible,{} polynomial representation of the general linear group \\spad{GLm} which corresponds to the partition (1,{}1,{}...,{}1,{}0,{}0,{}...,{}0) of \\spad{n}. Error: if \\spad{n} is greater than \\spad{m}. Note that this corresponds to the symmetrization of the representation with the sign representation of the symmetric group \\spad{Sn}. The carrier spaces of the representation are the antisymmetric tensors of the \\spad{n}-fold tensor product.") (((|Matrix| |#1|) (|Matrix| |#1|) (|PositiveInteger|)) "\\spad{antisymmetricTensors(a,{}n)} applies to the square matrix a the irreducible,{} polynomial representation of the general linear group \\spad{GLm},{} where \\spad{m} is the number of rows of a,{} which corresponds to the partition (1,{}1,{}...,{}1,{}0,{}0,{}...,{}0) of \\spad{n}. Error: if \\spad{n} is greater than \\spad{m}. Note that this corresponds to the symmetrization of the representation with the sign representation of the symmetric group \\spad{Sn}. The carrier spaces of the representation are the antisymmetric tensors of the \\spad{n}-fold tensor product."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE (-4523 "*")))) 
-(-1029 R) 
+((|HasAttribute| |#1| (QUOTE (-4537 "*")))) 
+(-1030 R) 
 ((|constructor| (NIL "\\spad{RepresentationPackage2} provides functions for working with modular representations of finite groups and algebra. The routines in this package are created,{} using ideas of \\spad{R}. Parker,{} (the meat-Axe) to get smaller representations from bigger ones,{} \\spadignore{i.e.} finding sub- and factormodules,{} or to show,{} that such the representations are irreducible. Note that most functions are randomized functions of Las Vegas type \\spadignore{i.e.} every answer is correct,{} but with small probability the algorithm fails to get an answer.")) (|scanOneDimSubspaces| (((|Vector| |#1|) (|List| (|Vector| |#1|)) (|Integer|)) "\\spad{scanOneDimSubspaces(basis,{}n)} gives a canonical representative of the \\spad{n}-th one-dimensional subspace of the vector space generated by the elements of \\spad{basis},{} all from R**n. The coefficients of the representative are of shape (0,{}...,{}0,{}1,{}*,{}...,{}*),{} * in \\spad{R}. If the size of \\spad{R} is \\spad{q},{} then there are (q**n-1)/(\\spad{q}-1) of them. We first reduce \\spad{n} modulo this number,{} then find the largest \\spad{i} such that \\spad{+/}[q**i for \\spad{i} in 0..\\spad{i}-1] \\spad{<=} \\spad{n}. Subtracting this sum of powers from \\spad{n} results in an \\spad{i}-digit number to \\spad{basis} \\spad{q}. This fills the positions of the stars.")) (|meatAxe| (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|PositiveInteger|)) "\\spad{meatAxe(aG,{} numberOfTries)} calls meatAxe(\\spad{aG},{}\\spad{true},{}numberOfTries,{}7). Notes: 7 covers the case of three-dimensional kernels over the field with 2 elements.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Boolean|)) "\\spad{meatAxe(aG,{} randomElements)} calls meatAxe(\\spad{aG},{}\\spad{false},{}6,{}7),{} only using Parker\\spad{'s} fingerprints,{} if randomElemnts is \\spad{false}. If it is \\spad{true},{} it calls meatAxe(\\spad{aG},{}\\spad{true},{}25,{}7),{} only using random elements. Note that the choice of 25 was rather arbitrary. Also,{} 7 covers the case of three-dimensional kernels over the field with 2 elements.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|))) "\\spad{meatAxe(aG)} calls meatAxe(\\spad{aG},{}\\spad{false},{}25,{}7) returns a 2-list of representations as follows. All matrices of argument \\spad{aG} are assumed to be square and of equal size. Then \\spad{aG} generates a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. \\spad{V} \\spad{R} is an A-module in the usual way. meatAxe(\\spad{aG}) creates at most 25 random elements of the algebra,{} tests them for singularity. If singular,{} it tries at most 7 elements of its kernel to generate a proper submodule. If successful a list which contains first the list of the representations of the submodule,{} then a list of the representations of the factor module is returned. Otherwise,{} if we know that all the kernel is already scanned,{} Norton\\spad{'s} irreducibility test can be used either to prove irreducibility or to find the splitting. Notes: the first 6 tries use Parker\\spad{'s} fingerprints. Also,{} 7 covers the case of three-dimensional kernels over the field with 2 elements.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Boolean|) (|Integer|) (|Integer|)) "\\spad{meatAxe(aG,{}randomElements,{}numberOfTries,{} maxTests)} returns a 2-list of representations as follows. All matrices of argument \\spad{aG} are assumed to be square and of equal size. Then \\spad{aG} generates a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. \\spad{V} \\spad{R} is an A-module in the usual way. meatAxe(\\spad{aG},{}\\spad{numberOfTries},{} maxTests) creates at most \\spad{numberOfTries} random elements of the algebra,{} tests them for singularity. If singular,{} it tries at most maxTests elements of its kernel to generate a proper submodule. If successful,{} a 2-list is returned: first,{} a list containing first the list of the representations of the submodule,{} then a list of the representations of the factor module. Otherwise,{} if we know that all the kernel is already scanned,{} Norton\\spad{'s} irreducibility test can be used either to prove irreducibility or to find the splitting. If \\spad{randomElements} is \\spad{false},{} the first 6 tries use Parker\\spad{'s} fingerprints.")) (|split| (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Vector| (|Vector| |#1|))) "\\spad{split(aG,{}submodule)} uses a proper \\spad{submodule} of R**n to create the representations of the \\spad{submodule} and of the factor module.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Vector| |#1|)) "\\spad{split(aG,{} vector)} returns a subalgebra \\spad{A} of all square matrix of dimension \\spad{n} as a list of list of matrices,{} generated by the list of matrices \\spad{aG},{} where \\spad{n} denotes both the size of vector as well as the dimension of each of the square matrices. \\spad{V} \\spad{R} is an A-module in the natural way. split(\\spad{aG},{} vector) then checks whether the cyclic submodule generated by vector is a proper submodule of \\spad{V} \\spad{R}. If successful,{} it returns a two-element list,{} which contains first the list of the representations of the submodule,{} then the list of the representations of the factor module. If the vector generates the whole module,{} a one-element list of the old representation is given. Note that a later version this should call the other split.")) (|isAbsolutelyIrreducible?| (((|Boolean|) (|List| (|Matrix| |#1|))) "\\spad{isAbsolutelyIrreducible?(aG)} calls isAbsolutelyIrreducible?(\\spad{aG},{}25). Note that the choice of 25 was rather arbitrary.") (((|Boolean|) (|List| (|Matrix| |#1|)) (|Integer|)) "\\spad{isAbsolutelyIrreducible?(aG,{} numberOfTries)} uses Norton\\spad{'s} irreducibility test to check for absolute irreduciblity,{} assuming if a one-dimensional kernel is found. As no field extension changes create \"new\" elements in a one-dimensional space,{} the criterium stays \\spad{true} for every extension. The method looks for one-dimensionals only by creating random elements (no fingerprints) since a run of meatAxe would have proved absolute irreducibility anyway.")) (|areEquivalent?| (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|Integer|)) "\\spad{areEquivalent?(aG0,{}aG1,{}numberOfTries)} calls areEquivalent?(\\spad{aG0},{}\\spad{aG1},{}\\spad{true},{}25). Note that the choice of 25 was rather arbitrary.") (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{areEquivalent?(aG0,{}aG1)} calls areEquivalent?(\\spad{aG0},{}\\spad{aG1},{}\\spad{true},{}25). Note that the choice of 25 was rather arbitrary.") (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|Boolean|) (|Integer|)) "\\spad{areEquivalent?(aG0,{}aG1,{}randomelements,{}numberOfTries)} tests whether the two lists of matrices,{} all assumed of same square shape,{} can be simultaneously conjugated by a non-singular matrix. If these matrices represent the same group generators,{} the representations are equivalent. The algorithm tries \\spad{numberOfTries} times to create elements in the generated algebras in the same fashion. If their ranks differ,{} they are not equivalent. If an isomorphism is assumed,{} then the kernel of an element of the first algebra is mapped to the kernel of the corresponding element in the second algebra. Now consider the one-dimensional ones. If they generate the whole space (\\spadignore{e.g.} irreducibility !) we use standardBasisOfCyclicSubmodule to create the only possible transition matrix. The method checks whether the matrix conjugates all corresponding matrices from aGi. The way to choose the singular matrices is as in meatAxe. If the two representations are equivalent,{} this routine returns the transformation matrix \\spad{TM} with \\spad{aG0}.\\spad{i} * \\spad{TM} = \\spad{TM} * \\spad{aG1}.\\spad{i} for all \\spad{i}. If the representations are not equivalent,{} a small 0-matrix is returned. Note that the case with different sets of group generators cannot be handled.")) (|standardBasisOfCyclicSubmodule| (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|Vector| |#1|)) "\\spad{standardBasisOfCyclicSubmodule(lm,{}v)} returns a matrix as follows. It is assumed that the size \\spad{n} of the vector equals the number of rows and columns of the matrices. Then the matrices generate a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. \\spad{V} \\spad{R} is an \\spad{A}-module in the natural way. standardBasisOfCyclicSubmodule(\\spad{lm},{}\\spad{v}) calculates a matrix whose non-zero column vectors are the \\spad{R}-Basis of Av achieved in the way as described in section 6 of \\spad{R}. A. Parker\\spad{'s} \"The Meat-Axe\". Note that in contrast to cyclicSubmodule,{} the result is not in echelon form.")) (|cyclicSubmodule| (((|Vector| (|Vector| |#1|)) (|List| (|Matrix| |#1|)) (|Vector| |#1|)) "\\spad{cyclicSubmodule(lm,{}v)} generates a basis as follows. It is assumed that the size \\spad{n} of the vector equals the number of rows and columns of the matrices. Then the matrices generate a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. \\spad{V} \\spad{R} is an \\spad{A}-module in the natural way. cyclicSubmodule(\\spad{lm},{}\\spad{v}) generates the \\spad{R}-Basis of Av as described in section 6 of \\spad{R}. A. Parker\\spad{'s} \"The Meat-Axe\". Note that in contrast to the description in \"The Meat-Axe\" and to standardBasisOfCyclicSubmodule the result is in echelon form.")) (|createRandomElement| (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|Matrix| |#1|)) "\\spad{createRandomElement(aG,{}x)} creates a random element of the group algebra generated by \\spad{aG}.")) (|completeEchelonBasis| (((|Matrix| |#1|) (|Vector| (|Vector| |#1|))) "\\spad{completeEchelonBasis(lv)} completes the basis \\spad{lv} assumed to be in echelon form of a subspace of R**n (\\spad{n} the length of all the vectors in \\spad{lv} with unit vectors to a basis of R**n. It is assumed that the argument is not an empty vector and that it is not the basis of the 0-subspace. Note that the rows of the result correspond to the vectors of the basis."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365))) (-12 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-370)))) (|HasCategory| |#1| (QUOTE (-301)))) 
-(-1030 S) 
+((|HasCategory| |#1| (QUOTE (-366))) (-12 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-371)))) (|HasCategory| |#1| (QUOTE (-302)))) 
+(-1031 S) 
 ((|constructor| (NIL "Implements multiplication by repeated addition")) (|double| ((|#1| (|PositiveInteger|) |#1|) "\\spad{double(i,{} r)} multiplies \\spad{r} by \\spad{i} using repeated doubling.")) (+ (($ $ $) "\\spad{x+y} returns the sum of \\spad{x} and \\spad{y}"))) 
 NIL 
 NIL 
-(-1031) 
+(-1032) 
 ((|constructor| (NIL "Package for the computation of eigenvalues and eigenvectors. This package works for matrices with coefficients which are rational functions over the integers. (see \\spadtype{Fraction Polynomial Integer}). The eigenvalues and eigenvectors are expressed in terms of radicals.")) (|orthonormalBasis| (((|List| (|Matrix| (|Expression| (|Integer|)))) (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{orthonormalBasis(m)} returns the orthogonal matrix \\spad{b} such that \\spad{b*m*(inverse b)} is diagonal. Error: if \\spad{m} is not a symmetric matrix.")) (|gramschmidt| (((|List| (|Matrix| (|Expression| (|Integer|)))) (|List| (|Matrix| (|Expression| (|Integer|))))) "\\spad{gramschmidt(lv)} converts the list of column vectors \\spad{lv} into a set of orthogonal column vectors of euclidean length 1 using the Gram-Schmidt algorithm.")) (|normalise| (((|Matrix| (|Expression| (|Integer|))) (|Matrix| (|Expression| (|Integer|)))) "\\spad{normalise(v)} returns the column vector \\spad{v} divided by its euclidean norm; when possible,{} the vector \\spad{v} is expressed in terms of radicals.")) (|eigenMatrix| (((|Union| (|Matrix| (|Expression| (|Integer|))) "failed") (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{eigenMatrix(m)} returns the matrix \\spad{b} such that \\spad{b*m*(inverse b)} is diagonal,{} or \"failed\" if no such \\spad{b} exists.")) (|radicalEigenvalues| (((|List| (|Expression| (|Integer|))) (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{radicalEigenvalues(m)} computes the eigenvalues of the matrix \\spad{m}; when possible,{} the eigenvalues are expressed in terms of radicals.")) (|radicalEigenvector| (((|List| (|Matrix| (|Expression| (|Integer|)))) (|Expression| (|Integer|)) (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{radicalEigenvector(c,{}m)} computes the eigenvector(\\spad{s}) of the matrix \\spad{m} corresponding to the eigenvalue \\spad{c}; when possible,{} values are expressed in terms of radicals.")) (|radicalEigenvectors| (((|List| (|Record| (|:| |radval| (|Expression| (|Integer|))) (|:| |radmult| (|Integer|)) (|:| |radvect| (|List| (|Matrix| (|Expression| (|Integer|))))))) (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{radicalEigenvectors(m)} computes the eigenvalues and the corresponding eigenvectors of the matrix \\spad{m}; when possible,{} values are expressed in terms of radicals."))) 
 NIL 
 NIL 
-(-1032 S) 
+(-1033 S) 
 ((|constructor| (NIL "Implements exponentiation by repeated squaring")) (|expt| ((|#1| |#1| (|PositiveInteger|)) "\\spad{expt(r,{} i)} computes r**i by repeated squaring")) (* (($ $ $) "\\spad{x*y} returns the product of \\spad{x} and \\spad{y}"))) 
 NIL 
 NIL 
-(-1033 S) 
+(-1034 S) 
 ((|constructor| (NIL "This package provides coercions for the special types \\spadtype{Exit} and \\spadtype{Void}.")) (|coerce| ((|#1| (|Exit|)) "\\spad{coerce(e)} is never really evaluated. This coercion is used for formal type correctness when a function will not return directly to its caller.") (((|Void|) |#1|) "\\spad{coerce(s)} throws all information about \\spad{s} away. This coercion allows values of any type to appear in contexts where they will not be used. For example,{} it allows the resolution of different types in the \\spad{then} and \\spad{else} branches when an \\spad{if} is in a context where the resulting value is not used."))) 
 NIL 
 NIL 
-(-1034 -1478 |Expon| |VarSet| |FPol| |LFPol|) 
+(-1035 -1564 |Expon| |VarSet| |FPol| |LFPol|) 
 ((|constructor| (NIL "ResidueRing is the quotient of a polynomial ring by an ideal. The ideal is given as a list of generators. The elements of the domain are equivalence classes expressed in terms of reduced elements")) (|lift| ((|#4| $) "\\spad{lift(x)} return the canonical representative of the equivalence class \\spad{x}")) (|coerce| (($ |#4|) "\\spad{coerce(f)} produces the equivalence class of \\spad{f} in the residue ring")) (|reduce| (($ |#4|) "\\spad{reduce(f)} produces the equivalence class of \\spad{f} in the residue ring"))) 
-(((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1035) 
+(-1036) 
 ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (QUOTE (-1161))) (LIST (QUOTE |:|) (QUOTE -4085) (QUOTE (-57)))))) (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (QUOTE (-1090)))) (|HasCategory| (-1161) (QUOTE (-842))) (|HasCategory| (-57) (QUOTE (-1090))) (-2199 (|HasCategory| (-57) (QUOTE (-1090))) (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (QUOTE (-1090)))) (-12 (|HasCategory| (-57) (LIST (QUOTE -303) (QUOTE (-57)))) (|HasCategory| (-57) (QUOTE (-1090))))) 
-(-1036 A S) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (QUOTE (-1163))) (LIST (QUOTE |:|) (QUOTE -3782) (QUOTE (-57)))))) (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (QUOTE (-1091)))) (|HasCategory| (-1163) (QUOTE (-843))) (|HasCategory| (-57) (QUOTE (-1091))) (-2232 (|HasCategory| (-57) (QUOTE (-1091))) (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (QUOTE (-1091)))) (-12 (|HasCategory| (-57) (LIST (QUOTE -304) (QUOTE (-57)))) (|HasCategory| (-57) (QUOTE (-1091))))) 
+(-1037 A S) 
 ((|constructor| (NIL "A is retractable to \\spad{B} means that some elementsif A can be converted into elements of \\spad{B} and any element of \\spad{B} can be converted into an element of A.")) (|retract| ((|#2| $) "\\spad{retract(a)} transforms a into an element of \\spad{S} if possible. Error: if a cannot be made into an element of \\spad{S}.")) (|retractIfCan| (((|Union| |#2| "failed") $) "\\spad{retractIfCan(a)} transforms a into an element of \\spad{S} if possible. Returns \"failed\" if a cannot be made into an element of \\spad{S}.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} transforms a into an element of \\%."))) 
 NIL 
 NIL 
-(-1037 S) 
+(-1038 S) 
 ((|constructor| (NIL "A is retractable to \\spad{B} means that some elementsif A can be converted into elements of \\spad{B} and any element of \\spad{B} can be converted into an element of A.")) (|retract| ((|#1| $) "\\spad{retract(a)} transforms a into an element of \\spad{S} if possible. Error: if a cannot be made into an element of \\spad{S}.")) (|retractIfCan| (((|Union| |#1| "failed") $) "\\spad{retractIfCan(a)} transforms a into an element of \\spad{S} if possible. Returns \"failed\" if a cannot be made into an element of \\spad{S}.")) (|coerce| (($ |#1|) "\\spad{coerce(a)} transforms a into an element of \\%."))) 
 NIL 
 NIL 
-(-1038 Q R) 
+(-1039 Q R) 
 ((|constructor| (NIL "RetractSolvePackage is an interface to \\spadtype{SystemSolvePackage} that attempts to retract the coefficients of the equations before solving.")) (|solveRetract| (((|List| (|List| (|Equation| (|Fraction| (|Polynomial| |#2|))))) (|List| (|Polynomial| |#2|)) (|List| (|Symbol|))) "\\spad{solveRetract(lp,{}lv)} finds the solutions of the list \\spad{lp} of rational functions with respect to the list of symbols \\spad{lv}. The function tries to retract all the coefficients of the equations to \\spad{Q} before solving if possible."))) 
 NIL 
 NIL 
-(-1039) 
+(-1040) 
 ((|t| (((|Mapping| (|Float|)) (|NonNegativeInteger|)) "\\spad{t(n)} \\undocumented")) (F (((|Mapping| (|Float|)) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{F(n,{}m)} \\undocumented")) (|Beta| (((|Mapping| (|Float|)) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{Beta(n,{}m)} \\undocumented")) (|chiSquare| (((|Mapping| (|Float|)) (|NonNegativeInteger|)) "\\spad{chiSquare(n)} \\undocumented")) (|exponential| (((|Mapping| (|Float|)) (|Float|)) "\\spad{exponential(f)} \\undocumented")) (|normal| (((|Mapping| (|Float|)) (|Float|) (|Float|)) "\\spad{normal(f,{}g)} \\undocumented")) (|uniform| (((|Mapping| (|Float|)) (|Float|) (|Float|)) "\\spad{uniform(f,{}g)} \\undocumented")) (|chiSquare1| (((|Float|) (|NonNegativeInteger|)) "\\spad{chiSquare1(n)} \\undocumented")) (|exponential1| (((|Float|)) "\\spad{exponential1()} \\undocumented")) (|normal01| (((|Float|)) "\\spad{normal01()} \\undocumented")) (|uniform01| (((|Float|)) "\\spad{uniform01()} \\undocumented"))) 
 NIL 
 NIL 
-(-1040 UP) 
+(-1041 UP) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients which are rational functions with integer coefficients.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) 
 NIL 
 NIL 
-(-1041 R) 
+(-1042 R) 
 ((|constructor| (NIL "\\spadtype{RationalFunctionFactorizer} contains the factor function (called factorFraction) which factors fractions of polynomials by factoring the numerator and denominator. Since any non zero fraction is a unit the usual factor operation will just return the original fraction.")) (|factorFraction| (((|Fraction| (|Factored| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|))) "\\spad{factorFraction(r)} factors the numerator and the denominator of the polynomial fraction \\spad{r}."))) 
 NIL 
 NIL 
-(-1042 R) 
+(-1043 R) 
 ((|constructor| (NIL "Utilities that provide the same top-level manipulations on fractions than on polynomials.")) (|coerce| (((|Fraction| (|Polynomial| |#1|)) |#1|) "\\spad{coerce(r)} returns \\spad{r} viewed as a rational function over \\spad{R}.")) (|eval| (((|Fraction| (|Polynomial| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|List| (|Equation| (|Fraction| (|Polynomial| |#1|))))) "\\spad{eval(f,{} [v1 = g1,{}...,{}vn = gn])} returns \\spad{f} with each \\spad{vi} replaced by \\spad{gi} in parallel,{} \\spadignore{i.e.} \\spad{vi}\\spad{'s} appearing inside the \\spad{gi}\\spad{'s} are not replaced. Error: if any \\spad{vi} is not a symbol.") (((|Fraction| (|Polynomial| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|Equation| (|Fraction| (|Polynomial| |#1|)))) "\\spad{eval(f,{} v = g)} returns \\spad{f} with \\spad{v} replaced by \\spad{g}. Error: if \\spad{v} is not a symbol.") (((|Fraction| (|Polynomial| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{eval(f,{} [v1,{}...,{}vn],{} [g1,{}...,{}gn])} returns \\spad{f} with each \\spad{vi} replaced by \\spad{gi} in parallel,{} \\spadignore{i.e.} \\spad{vi}\\spad{'s} appearing inside the \\spad{gi}\\spad{'s} are not replaced.") (((|Fraction| (|Polynomial| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{eval(f,{} v,{} g)} returns \\spad{f} with \\spad{v} replaced by \\spad{g}.")) (|multivariate| (((|Fraction| (|Polynomial| |#1|)) (|Fraction| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|)))) (|Symbol|)) "\\spad{multivariate(f,{} v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|)))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{univariate(f,{} v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| (|Symbol|) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| (|Symbol|)) (|Fraction| (|Polynomial| |#1|))) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}."))) 
 NIL 
 NIL 
-(-1043 K) 
+(-1044 K) 
 ((|constructor| (NIL "This pacackage finds all the roots of a polynomial. If the constant field is not large enough then it returns the list of found zeros and the degree of the extension need to find the other roots missing. If the return degree is 1 then all the roots have been found. If 0 is return for the extension degree then there are an infinite number of zeros,{} that is you ask for the zeroes of 0. In the case of infinite field a list of all found zeros is kept and for each other call of a function that finds zeroes,{} a check is made on that list; this is to keep a kind of \"canonical\" representation of the elements.")) (|setFoundZeroes| (((|List| |#1|) (|List| |#1|)) "\\spad{setFoundZeroes sets} the list of foundZeroes to the given one.")) (|foundZeroes| (((|List| |#1|)) "\\spad{foundZeroes returns} the list of already found zeros by the functions distinguishedRootsOf and distinguishedCommonRootsOf.")) (|distinguishedCommonRootsOf| (((|Record| (|:| |zeros| (|List| |#1|)) (|:| |extDegree| (|Integer|))) (|List| (|SparseUnivariatePolynomial| |#1|)) |#1|) "\\spad{distinguishedCommonRootsOf returns} the common zeros of a list of polynomial. It returns a record as in distinguishedRootsOf. If 0 is returned as extension degree then there are an infinite number of common zeros (in this case,{} the polynomial 0 was given in the list of input polynomials).")) (|distinguishedRootsOf| (((|Record| (|:| |zeros| (|List| |#1|)) (|:| |extDegree| (|Integer|))) (|SparseUnivariatePolynomial| |#1|) |#1|) "\\spad{distinguishedRootsOf returns} a record consisting of a list of zeros of the input polynomial followed by the smallest extension degree needed to find all the zeros. If \\spad{K} has \\spad{PseudoAlgebraicClosureOfFiniteFieldCategory} or \\spad{PseudoAlgebraicClosureOfRationalNumberCategory} then a root is created for each irreducible factor,{} and only these roots are returns and not their conjugate."))) 
 NIL 
 NIL 
-(-1044 R |ls|) 
+(-1045 R |ls|) 
 ((|constructor| (NIL "A domain for regular chains (\\spadignore{i.e.} regular triangular sets) over a \\spad{Gcd}-Domain and with a fix list of variables. This is just a front-end for the \\spadtype{RegularTriangularSet} domain constructor.")) (|zeroSetSplit| (((|List| $) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|) (|Boolean|)) "\\spad{zeroSetSplit(lp,{}clos?,{}info?)} returns a list \\spad{lts} of regular chains such that the union of the closures of their regular zero sets equals the affine variety associated with \\spad{lp}. Moreover,{} if \\spad{clos?} is \\spad{false} then the union of the regular zero set of the \\spad{ts} (for \\spad{ts} in \\spad{lts}) equals this variety. If \\spad{info?} is \\spad{true} then some information is displayed during the computations. See zeroSetSplit from RegularTriangularSet."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-775 |#1| (-852 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-775 |#1| (-852 |#2|)) (QUOTE (-1090))) (-12 (|HasCategory| (-775 |#1| (-852 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -775) (|devaluate| |#1|) (LIST (QUOTE -852) (|devaluate| |#2|))))) (|HasCategory| (-775 |#1| (-852 |#2|)) (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| (-852 |#2|) (QUOTE (-370)))) 
-(-1045) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-776 |#1| (-853 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-776 |#1| (-853 |#2|)) (QUOTE (-1091))) (-12 (|HasCategory| (-776 |#1| (-853 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -776) (|devaluate| |#1|) (LIST (QUOTE -853) (|devaluate| |#2|))))) (|HasCategory| (-776 |#1| (-853 |#2|)) (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| (-853 |#2|) (QUOTE (-371)))) 
+(-1046) 
 ((|constructor| (NIL "This package exports integer distributions")) (|ridHack1| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{ridHack1(i,{}j,{}k,{}l)} \\undocumented")) (|geometric| (((|Mapping| (|Integer|)) |RationalNumber|) "\\spad{geometric(f)} \\undocumented")) (|poisson| (((|Mapping| (|Integer|)) |RationalNumber|) "\\spad{poisson(f)} \\undocumented")) (|binomial| (((|Mapping| (|Integer|)) (|Integer|) |RationalNumber|) "\\spad{binomial(n,{}f)} \\undocumented")) (|uniform| (((|Mapping| (|Integer|)) (|Segment| (|Integer|))) "\\spad{uniform(s)} as \\indented{4}{\\spad{l} + \\spad{u0} + \\spad{w*u1} + \\spad{w**2*u2} +...+ \\spad{w**}(\\spad{n}-1)*u-1 + w**n*m} where \\indented{4}{\\spad{s} = a..\\spad{b}} \\indented{4}{\\spad{l} = min(a,{}\\spad{b})} \\indented{4}{\\spad{m} = abs(\\spad{b}-a) + 1} \\indented{4}{w**n < \\spad{m} < \\spad{w**}(\\spad{n+1})} \\indented{4}{\\spad{u0},{}...,{}un-1\\space{2}are uniform on\\space{2}0..\\spad{w}-1} \\indented{4}{\\spad{m}\\space{12}is\\space{2}uniform on\\space{2}0..(\\spad{m} quo w**n)\\spad{-1}}"))) 
 NIL 
 NIL 
-(-1046 S) 
+(-1047 S) 
 ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note that \\spad{recip(0) = \"failed\"}.")) (|coerce| (($ (|Integer|)) "\\spad{coerce(i)} converts the integer \\spad{i} to a member of the given domain.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) 
 NIL 
 NIL 
-(-1047) 
+(-1048) 
 ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note that \\spad{recip(0) = \"failed\"}.")) (|coerce| (($ (|Integer|)) "\\spad{coerce(i)} converts the integer \\spad{i} to a member of the given domain.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) 
-((-4518 . T)) 
+((-4532 . T)) 
 NIL 
-(-1048 |xx| -1478) 
+(-1049 |xx| -1564) 
 ((|constructor| (NIL "This package exports rational interpolation algorithms"))) 
 NIL 
 NIL 
-(-1049 S |m| |n| R |Row| |Col|) 
+(-1050 S |m| |n| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#6|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#4|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#4|) "\\spad{exquo(m,{}r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#4| |#4| |#4|) $ $) "\\spad{map(f,{}a,{}b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))} for all \\spad{i},{} \\spad{j}.") (($ (|Mapping| |#4| |#4|) $) "\\spad{map(f,{}a)} returns \\spad{b},{} where \\spad{b(i,{}j) = a(i,{}j)} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#6| $ (|Integer|)) "\\spad{column(m,{}j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#5| $ (|Integer|)) "\\spad{row(m,{}i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#4| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note that there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#4| $ (|Integer|) (|Integer|) |#4|) "\\spad{elt(m,{}i,{}j,{}r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#4| $ (|Integer|) (|Integer|)) "\\spad{elt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#4|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = -m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#4|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|finiteAggregate| ((|attribute|) "matrices are finite"))) 
 NIL 
-((|HasCategory| |#4| (QUOTE (-301))) (|HasCategory| |#4| (QUOTE (-365))) (|HasCategory| |#4| (QUOTE (-558))) (|HasCategory| |#4| (QUOTE (-172)))) 
-(-1050 |m| |n| R |Row| |Col|) 
+((|HasCategory| |#4| (QUOTE (-302))) (|HasCategory| |#4| (QUOTE (-366))) (|HasCategory| |#4| (QUOTE (-559))) (|HasCategory| |#4| (QUOTE (-173)))) 
+(-1051 |m| |n| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#5|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#3|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#3|) "\\spad{exquo(m,{}r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#3| |#3| |#3|) $ $) "\\spad{map(f,{}a,{}b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))} for all \\spad{i},{} \\spad{j}.") (($ (|Mapping| |#3| |#3|) $) "\\spad{map(f,{}a)} returns \\spad{b},{} where \\spad{b(i,{}j) = a(i,{}j)} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#5| $ (|Integer|)) "\\spad{column(m,{}j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#4| $ (|Integer|)) "\\spad{row(m,{}i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#3| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note that there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#3| $ (|Integer|) (|Integer|) |#3|) "\\spad{elt(m,{}i,{}j,{}r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#3|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = -m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#3|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|finiteAggregate| ((|attribute|) "matrices are finite"))) 
-((-4521 . T) (-3973 . T) (-4516 . T) (-4515 . T)) 
+((-4535 . T) (-2982 . T) (-4530 . T) (-4529 . T)) 
 NIL 
-(-1051 |m| |n| R) 
+(-1052 |m| |n| R) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|coerce| (((|Matrix| |#3|) $) "\\spad{coerce(m)} converts a matrix of type \\spadtype{RectangularMatrix} to a matrix of type \\spad{Matrix}.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) 
-((-4521 . T) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#3| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#3| (QUOTE (-365))) (|HasCategory| |#3| (QUOTE (-1090))) (|HasCategory| |#3| (QUOTE (-301))) (|HasCategory| |#3| (QUOTE (-558))) (|HasCategory| |#3| (QUOTE (-172))) (-2199 (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (QUOTE (-365)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-172)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-365)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1090)))))) 
-(-1052 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) 
+((-4535 . T) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#3| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#3| (QUOTE (-366))) (|HasCategory| |#3| (QUOTE (-1091))) (|HasCategory| |#3| (QUOTE (-302))) (|HasCategory| |#3| (QUOTE (-559))) (|HasCategory| |#3| (QUOTE (-173))) (-2232 (|HasCategory| |#3| (QUOTE (-173))) (|HasCategory| |#3| (QUOTE (-366)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-173)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-366)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1091)))))) 
+(-1053 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#7| (|Mapping| |#7| |#3| |#7|) |#6| |#7|) "\\spad{reduce(f,{}m,{}r)} returns a matrix \\spad{n} where \\spad{n[i,{}j] = f(m[i,{}j],{}r)} for all indices spad{\\spad{i}} and \\spad{j}.")) (|map| ((|#10| (|Mapping| |#7| |#3|) |#6|) "\\spad{map(f,{}m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) 
 NIL 
 NIL 
-(-1053 R) 
+(-1054 R) 
 ((|constructor| (NIL "The category of right modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports right multiplication by elements of the \\spad{rng}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{ x*(a*b) = (x*a)*b }\\spad{\\br} \\tab{5}\\spad{ x*(a+b) = (x*a)+(x*b) }\\spad{\\br} \\tab{5}\\spad{ (x+y)*x = (x*a)+(y*a) }")) (* (($ $ |#1|) "\\spad{x*r} returns the right multiplication of the module element \\spad{x} by the ring element \\spad{r}."))) 
 NIL 
 NIL 
-(-1054) 
+(-1055) 
 ((|constructor| (NIL "The category of associative rings,{} not necessarily commutative,{} and not necessarily with a 1. This is a combination of an abelian group and a semigroup,{} with multiplication distributing over addition. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{ x*(y+z) = x*y + x*z}\\spad{\\br} \\tab{5}\\spad{ (x+y)*z = x*z + y*z } \\blankline Conditional attributes\\spad{\\br} \\tab{5}noZeroDivisors\\tab{5}\\spad{ ab = 0 => a=0 or b=0}"))) 
 NIL 
 NIL 
-(-1055 S) 
+(-1056 S) 
 ((|constructor| (NIL "The real number system category is intended as a model for the real numbers. The real numbers form an ordered normed field. Note that we have purposely not included \\spadtype{DifferentialRing} or the elementary functions (see \\spadtype{TranscendentalFunctionCategory}) in the definition.")) (|abs| (($ $) "\\spad{abs x} returns the absolute value of \\spad{x}.")) (|round| (($ $) "\\spad{round x} computes the integer closest to \\spad{x}.")) (|truncate| (($ $) "\\spad{truncate x} returns the integer between \\spad{x} and 0 closest to \\spad{x}.")) (|fractionPart| (($ $) "\\spad{fractionPart x} returns the fractional part of \\spad{x}.")) (|wholePart| (((|Integer|) $) "\\spad{wholePart x} returns the integer part of \\spad{x}.")) (|floor| (($ $) "\\spad{floor x} returns the largest integer \\spad{<= x}.")) (|ceiling| (($ $) "\\spad{ceiling x} returns the small integer \\spad{>= x}.")) (|norm| (($ $) "\\spad{norm x} returns the same as absolute value."))) 
 NIL 
 NIL 
-(-1056) 
+(-1057) 
 ((|constructor| (NIL "The real number system category is intended as a model for the real numbers. The real numbers form an ordered normed field. Note that we have purposely not included \\spadtype{DifferentialRing} or the elementary functions (see \\spadtype{TranscendentalFunctionCategory}) in the definition.")) (|abs| (($ $) "\\spad{abs x} returns the absolute value of \\spad{x}.")) (|round| (($ $) "\\spad{round x} computes the integer closest to \\spad{x}.")) (|truncate| (($ $) "\\spad{truncate x} returns the integer between \\spad{x} and 0 closest to \\spad{x}.")) (|fractionPart| (($ $) "\\spad{fractionPart x} returns the fractional part of \\spad{x}.")) (|wholePart| (((|Integer|) $) "\\spad{wholePart x} returns the integer part of \\spad{x}.")) (|floor| (($ $) "\\spad{floor x} returns the largest integer \\spad{<= x}.")) (|ceiling| (($ $) "\\spad{ceiling x} returns the small integer \\spad{>= x}.")) (|norm| (($ $) "\\spad{norm x} returns the same as absolute value."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1057 |TheField| |ThePolDom|) 
+(-1058 |TheField| |ThePolDom|) 
 ((|constructor| (NIL "\\axiomType{RightOpenIntervalRootCharacterization} provides work with interval root coding.")) (|relativeApprox| ((|#1| |#2| $ |#1|) "\\axiom{relativeApprox(exp,{}\\spad{c},{}\\spad{p}) = a} is relatively close to exp as a polynomial in \\spad{c} ip to precision \\spad{p}")) (|mightHaveRoots| (((|Boolean|) |#2| $) "\\axiom{mightHaveRoots(\\spad{p},{}\\spad{r})} is \\spad{false} if \\axiom{\\spad{p}.\\spad{r}} is not 0")) (|refine| (($ $) "\\axiom{refine(rootChar)} shrinks isolating interval around \\axiom{rootChar}")) (|middle| ((|#1| $) "\\axiom{middle(rootChar)} is the middle of the isolating interval")) (|size| ((|#1| $) "The size of the isolating interval")) (|right| ((|#1| $) "\\axiom{right(rootChar)} is the right bound of the isolating interval")) (|left| ((|#1| $) "\\axiom{left(rootChar)} is the left bound of the isolating interval"))) 
 NIL 
 NIL 
-(-1058) 
+(-1059) 
 ((|constructor| (NIL "\\spadtype{RomanNumeral} provides functions for converting integers to roman numerals.")) (|roman| (($ (|Integer|)) "\\spad{roman(n)} creates a roman numeral for \\spad{n}.") (($ (|Symbol|)) "\\spad{roman(n)} creates a roman numeral for symbol \\spad{n}.")) (|convert| (($ (|Symbol|)) "\\spad{convert(n)} creates a roman numeral for symbol \\spad{n}.")) (|noetherian| ((|attribute|) "ascending chain condition on ideals.")) (|canonicalsClosed| ((|attribute|) "two positives multiply to give positive.")) (|canonical| ((|attribute|) "mathematical equality is data structure equality."))) 
-((-4509 . T) (-4513 . T) (-4508 . T) (-4519 . T) (-4520 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4523 . T) (-4527 . T) (-4522 . T) (-4533 . T) (-4534 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1059) 
+(-1060) 
 ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,{}routineName,{}ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,{}s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,{}s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,{}s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,{}s,{}newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,{}s,{}newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,{}y)} merges two tables \\spad{x} and \\spad{y}"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (QUOTE (-1161))) (LIST (QUOTE |:|) (QUOTE -4085) (QUOTE (-57)))))) (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (QUOTE (-1090)))) (|HasCategory| (-1161) (QUOTE (-842))) (|HasCategory| (-57) (QUOTE (-1090))) (-2199 (|HasCategory| (-57) (QUOTE (-1090))) (|HasCategory| (-2 (|:| -3651 (-1161)) (|:| -4085 (-57))) (QUOTE (-1090)))) (-12 (|HasCategory| (-57) (LIST (QUOTE -303) (QUOTE (-57)))) (|HasCategory| (-57) (QUOTE (-1090))))) 
-(-1060 S R E V) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (QUOTE (-1163))) (LIST (QUOTE |:|) (QUOTE -3782) (QUOTE (-57)))))) (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (QUOTE (-1091)))) (|HasCategory| (-1163) (QUOTE (-843))) (|HasCategory| (-57) (QUOTE (-1091))) (-2232 (|HasCategory| (-57) (QUOTE (-1091))) (|HasCategory| (-2 (|:| -2335 (-1163)) (|:| -3782 (-57))) (QUOTE (-1091)))) (-12 (|HasCategory| (-57) (LIST (QUOTE -304) (QUOTE (-57)))) (|HasCategory| (-57) (QUOTE (-1091))))) 
+(-1061 S R E V) 
 ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{\\spad{nextsubResultant2}(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\spad{next_sousResultant2} from PseudoRemainderSequence from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{\\spad{LazardQuotient2}(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial \\indented{1}{in its main variable.}")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-550))) (|HasCategory| |#2| (LIST (QUOTE -43) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -993) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-1161))))) 
-(-1061 R E V) 
+((|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (LIST (QUOTE -43) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -994) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#4| (LIST (QUOTE -610) (QUOTE (-1163))))) 
+(-1062 R E V) 
 ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#1| |#1| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{\\spad{nextsubResultant2}(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\spad{next_sousResultant2} from PseudoRemainderSequence from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{\\spad{LazardQuotient2}(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#1|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#1|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#1|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#1|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#1|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#1|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#1|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#1|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#1|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#3|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#3|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#3|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#3|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#3|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#3|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#3|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial \\indented{1}{in its main variable.}")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#3| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-1062 S |TheField| |ThePols|) 
+(-1063 S |TheField| |ThePols|) 
 ((|constructor| (NIL "\\axiomType{RealRootCharacterizationCategory} provides common acces functions for all real root codings.")) (|relativeApprox| ((|#2| |#3| $ |#2|) "\\axiom{approximate(term,{}root,{}prec)} gives an approximation of \\axiom{term} over \\axiom{root} with precision \\axiom{prec}")) (|approximate| ((|#2| |#3| $ |#2|) "\\axiom{approximate(term,{}root,{}prec)} gives an approximation of \\axiom{term} over \\axiom{root} with precision \\axiom{prec}")) (|rootOf| (((|Union| $ "failed") |#3| (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} gives the \\spad{n}th root for the order of the Real Closure")) (|allRootsOf| (((|List| $) |#3|) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} in the Real Closure,{} assumed in order.")) (|definingPolynomial| ((|#3| $) "\\axiom{definingPolynomial(aRoot)} gives a polynomial such that \\axiom{definingPolynomial(aRoot).aRoot = 0}")) (|recip| (((|Union| |#3| "failed") |#3| $) "\\axiom{recip(pol,{}aRoot)} tries to inverse \\axiom{pol} interpreted as \\axiom{aRoot}")) (|positive?| (((|Boolean|) |#3| $) "\\axiom{positive?(pol,{}aRoot)} answers if \\axiom{pol} interpreted as \\axiom{aRoot} is positive")) (|negative?| (((|Boolean|) |#3| $) "\\axiom{negative?(pol,{}aRoot)} answers if \\axiom{pol} interpreted as \\axiom{aRoot} is negative")) (|zero?| (((|Boolean|) |#3| $) "\\axiom{zero?(pol,{}aRoot)} answers if \\axiom{pol} interpreted as \\axiom{aRoot} is \\axiom{0}")) (|sign| (((|Integer|) |#3| $) "\\axiom{sign(pol,{}aRoot)} gives the sign of \\axiom{pol} interpreted as \\axiom{aRoot}"))) 
 NIL 
 NIL 
-(-1063 |TheField| |ThePols|) 
+(-1064 |TheField| |ThePols|) 
 ((|constructor| (NIL "\\axiomType{RealRootCharacterizationCategory} provides common acces functions for all real root codings.")) (|relativeApprox| ((|#1| |#2| $ |#1|) "\\axiom{approximate(term,{}root,{}prec)} gives an approximation of \\axiom{term} over \\axiom{root} with precision \\axiom{prec}")) (|approximate| ((|#1| |#2| $ |#1|) "\\axiom{approximate(term,{}root,{}prec)} gives an approximation of \\axiom{term} over \\axiom{root} with precision \\axiom{prec}")) (|rootOf| (((|Union| $ "failed") |#2| (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} gives the \\spad{n}th root for the order of the Real Closure")) (|allRootsOf| (((|List| $) |#2|) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} in the Real Closure,{} assumed in order.")) (|definingPolynomial| ((|#2| $) "\\axiom{definingPolynomial(aRoot)} gives a polynomial such that \\axiom{definingPolynomial(aRoot).aRoot = 0}")) (|recip| (((|Union| |#2| "failed") |#2| $) "\\axiom{recip(pol,{}aRoot)} tries to inverse \\axiom{pol} interpreted as \\axiom{aRoot}")) (|positive?| (((|Boolean|) |#2| $) "\\axiom{positive?(pol,{}aRoot)} answers if \\axiom{pol} interpreted as \\axiom{aRoot} is positive")) (|negative?| (((|Boolean|) |#2| $) "\\axiom{negative?(pol,{}aRoot)} answers if \\axiom{pol} interpreted as \\axiom{aRoot} is negative")) (|zero?| (((|Boolean|) |#2| $) "\\axiom{zero?(pol,{}aRoot)} answers if \\axiom{pol} interpreted as \\axiom{aRoot} is \\axiom{0}")) (|sign| (((|Integer|) |#2| $) "\\axiom{sign(pol,{}aRoot)} gives the sign of \\axiom{pol} interpreted as \\axiom{aRoot}"))) 
 NIL 
 NIL 
-(-1064 R E V P TS) 
+(-1065 R E V P TS) 
 ((|constructor| (NIL "A package providing a new algorithm for solving polynomial systems by means of regular chains. Two ways of solving are proposed: in the sense of Zariski closure (like in Kalkbrener\\spad{'s} algorithm) or in the sense of the regular zeros (like in Wu,{} Wang or Lazard methods). This algorithm is valid for nay type of regular set. It does not care about the way a polynomial is added in an regular set,{} or how two quasi-components are compared (by an inclusion-test),{} or how the invertibility test is made in the tower of simple extensions associated with a regular set. These operations are realized respectively by the domain \\spad{TS} and the packages \\axiomType{QCMPACK}(\\spad{R},{}\\spad{E},{}\\spad{V},{}\\spad{P},{}\\spad{TS}) and \\axiomType{RSETGCD}(\\spad{R},{}\\spad{E},{}\\spad{V},{}\\spad{P},{}\\spad{TS}). The same way it does not care about the way univariate polynomial \\spad{gcd} (with coefficients in the tower of simple extensions associated with a regular set) are computed. The only requirement is that these \\spad{gcd} need to have invertible initials (normalized or not). WARNING. There is no need for a user to call diectly any operation of this package since they can be accessed by the domain \\axiom{\\spad{TS}}. Thus,{} the operations of this package are not documented."))) 
 NIL 
 NIL 
-(-1065 S R E V P) 
+(-1066 S R E V P) 
 ((|constructor| (NIL "The category of regular triangular sets,{} introduced under the name regular chains in [1] (and other papers). In [3] it is proved that regular triangular sets and towers of simple extensions of a field are equivalent notions. In the following definitions,{} all polynomials and ideals are taken from the polynomial ring \\spad{k[x1,{}...,{}xn]} where \\spad{k} is the fraction field of \\spad{R}. The triangular set \\spad{[t1,{}...,{}tm]} is regular iff for every \\spad{i} the initial of \\spad{ti+1} is invertible in the tower of simple extensions associated with \\spad{[t1,{}...,{}\\spad{ti}]}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Kalkbrener of a given ideal \\spad{I} iff the radical of \\spad{I} is equal to the intersection of the radical ideals generated by the saturated ideals of the \\spad{[T1,{}...,{}\\spad{Ti}]}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Kalkbrener of a given triangular set \\spad{T} iff it is a split of Kalkbrener of the saturated ideal of \\spad{T}. Let \\spad{K} be an algebraic closure of \\spad{k}. Assume that \\spad{V} is finite with cardinality \\spad{n} and let \\spad{A} be the affine space \\spad{K^n}. For a regular triangular set \\spad{T} let denote by \\spad{W(T)} the set of regular zeros of \\spad{T}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Lazard of a given subset \\spad{S} of \\spad{A} iff the union of the \\spad{W(\\spad{Ti})} contains \\spad{S} and is contained in the closure of \\spad{S} (\\spad{w}.\\spad{r}.\\spad{t}. Zariski topology). A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Lazard of a given triangular set \\spad{T} if it is a split of Lazard of \\spad{W(T)}. Note that if \\spad{[T1,{}...,{}Ts]} is a split of Lazard of \\spad{T} then it is also a split of Kalkbrener of \\spad{T}. The converse is \\spad{false}. This category provides operations related to both kinds of splits,{} the former being related to ideals decomposition whereas the latter deals with varieties decomposition. See the example illustrating the RegularTriangularSet constructor for more explanations about decompositions by means of regular triangular sets.")) (|zeroSetSplit| (((|List| $) (|List| |#5|) (|Boolean|)) "\\spad{zeroSetSplit(lp,{}clos?)} returns \\spad{lts} a split of Kalkbrener of the radical ideal associated with \\spad{lp}. If \\spad{clos?} is \\spad{false},{} it is also a decomposition of the variety associated with \\spad{lp} into the regular zero set of the \\spad{ts} in \\spad{lts} (or,{} in other words,{} a split of Lazard of this variety). See the example illustrating the \\spadtype{RegularTriangularSet} constructor for more explanations about decompositions by means of regular triangular sets.")) (|extend| (((|List| $) (|List| |#5|) (|List| $)) "\\spad{extend(lp,{}lts)} returns the same as \\spad{concat([extend(lp,{}ts) for ts in lts])|}") (((|List| $) (|List| |#5|) $) "\\spad{extend(lp,{}ts)} returns \\spad{ts} if \\spad{empty? lp} \\spad{extend(p,{}ts)} if \\spad{lp = [p]} else \\spad{extend(first lp,{} extend(rest lp,{} ts))}") (((|List| $) |#5| (|List| $)) "\\spad{extend(p,{}lts)} returns the same as \\spad{concat([extend(p,{}ts) for ts in lts])|}") (((|List| $) |#5| $) "\\spad{extend(p,{}ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is not a regular triangular set.")) (|internalAugment| (($ (|List| |#5|) $) "\\spad{internalAugment(lp,{}ts)} returns \\spad{ts} if \\spad{lp} is empty otherwise returns \\spad{internalAugment(rest lp,{} internalAugment(first lp,{} ts))}") (($ |#5| $) "\\spad{internalAugment(p,{}ts)} assumes that \\spad{augment(p,{}ts)} returns a singleton and returns it.")) (|augment| (((|List| $) (|List| |#5|) (|List| $)) "\\spad{augment(lp,{}lts)} returns the same as \\spad{concat([augment(lp,{}ts) for ts in lts])}") (((|List| $) (|List| |#5|) $) "\\spad{augment(lp,{}ts)} returns \\spad{ts} if \\spad{empty? lp},{} \\spad{augment(p,{}ts)} if \\spad{lp = [p]},{} otherwise \\spad{augment(first lp,{} augment(rest lp,{} ts))}") (((|List| $) |#5| (|List| $)) "\\spad{augment(p,{}lts)} returns the same as \\spad{concat([augment(p,{}ts) for ts in lts])}") (((|List| $) |#5| $) "\\spad{augment(p,{}ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. This operation assumes also that if \\spad{p} is added to \\spad{ts} the resulting set,{} say \\spad{ts+p},{} is a regular triangular set. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is required to be square-free.")) (|intersect| (((|List| $) |#5| (|List| $)) "\\spad{intersect(p,{}lts)} returns the same as \\spad{intersect([p],{}lts)}") (((|List| $) (|List| |#5|) (|List| $)) "\\spad{intersect(lp,{}lts)} returns the same as \\spad{concat([intersect(lp,{}ts) for ts in lts])|}") (((|List| $) (|List| |#5|) $) "\\spad{intersect(lp,{}ts)} returns \\spad{lts} a split of Lazard of the intersection of the affine variety associated with \\spad{lp} and the regular zero set of \\spad{ts}.") (((|List| $) |#5| $) "\\spad{intersect(p,{}ts)} returns the same as \\spad{intersect([p],{}ts)}")) (|squareFreePart| (((|List| (|Record| (|:| |val| |#5|) (|:| |tower| $))) |#5| $) "\\spad{squareFreePart(p,{}ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a square-free polynomial \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} this polynomial being associated with \\spad{p} modulo \\spad{lpwt.i.tower},{} for every \\spad{i}. Moreover,{} the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. WARNING: This assumes that \\spad{p} is a non-constant polynomial such that if \\spad{p} is added to \\spad{ts},{} then the resulting set is a regular triangular set.")) (|lastSubResultant| (((|List| (|Record| (|:| |val| |#5|) (|:| |tower| $))) |#5| |#5| $) "\\spad{lastSubResultant(p1,{}p2,{}ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} for every \\spad{i},{} and such that the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. Moreover,{} if \\spad{p1} and \\spad{p2} do not have a non-trivial \\spad{gcd} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower} then \\spad{lpwt.i.val} is the resultant of these polynomials \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower}. This assumes that \\spad{p1} and \\spad{p2} have the same main variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|lastSubResultantElseSplit| (((|Union| |#5| (|List| $)) |#5| |#5| $) "\\spad{lastSubResultantElseSplit(p1,{}p2,{}ts)} returns either \\spad{g} a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. the \\spad{ts} or a split of Kalkbrener of \\spad{ts}. This assumes that \\spad{p1} and \\spad{p2} have the same maim variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|invertibleSet| (((|List| $) |#5| $) "\\spad{invertibleSet(p,{}ts)} returns a split of Kalkbrener of the quotient ideal of the ideal \\axiom{\\spad{I}} by \\spad{p} where \\spad{I} is the radical of saturated of \\spad{ts}.")) (|invertible?| (((|Boolean|) |#5| $) "\\spad{invertible?(p,{}ts)} returns \\spad{true} iff \\spad{p} is invertible in the tower associated with \\spad{ts}.") (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| $))) |#5| $) "\\spad{invertible?(p,{}ts)} returns \\spad{lbwt} where \\spad{lbwt.i} is the result of \\spad{invertibleElseSplit?(p,{}lbwt.i.tower)} and the list of the \\spad{(lqrwt.i).tower} is a split of Kalkbrener of \\spad{ts}.")) (|invertibleElseSplit?| (((|Union| (|Boolean|) (|List| $)) |#5| $) "\\spad{invertibleElseSplit?(p,{}ts)} returns \\spad{true} (resp. \\spad{false}) if \\spad{p} is invertible in the tower associated with \\spad{ts} or returns a split of Kalkbrener of \\spad{ts}.")) (|purelyAlgebraicLeadingMonomial?| (((|Boolean|) |#5| $) "\\spad{purelyAlgebraicLeadingMonomial?(p,{}ts)} returns \\spad{true} iff the main variable of any non-constant iterarted initial of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|algebraicCoefficients?| (((|Boolean|) |#5| $) "\\spad{algebraicCoefficients?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} which is not the main one of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|purelyTranscendental?| (((|Boolean|) |#5| $) "\\spad{purelyTranscendental?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} is not algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}")) (|purelyAlgebraic?| (((|Boolean|) $) "\\spad{purelyAlgebraic?(ts)} returns \\spad{true} iff for every algebraic variable \\spad{v} of \\spad{ts} we have \\spad{algebraicCoefficients?(t_v,{}ts_v_-)} where \\spad{ts_v} is select from TriangularSetCategory(\\spad{ts},{}\\spad{v}) and \\spad{ts_v_-} is collectUnder from TriangularSetCategory(\\spad{ts},{}\\spad{v}).") (((|Boolean|) |#5| $) "\\spad{purelyAlgebraic?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}."))) 
 NIL 
 NIL 
-(-1066 R E V P) 
+(-1067 R E V P) 
 ((|constructor| (NIL "The category of regular triangular sets,{} introduced under the name regular chains in [1] (and other papers). In [3] it is proved that regular triangular sets and towers of simple extensions of a field are equivalent notions. In the following definitions,{} all polynomials and ideals are taken from the polynomial ring \\spad{k[x1,{}...,{}xn]} where \\spad{k} is the fraction field of \\spad{R}. The triangular set \\spad{[t1,{}...,{}tm]} is regular iff for every \\spad{i} the initial of \\spad{ti+1} is invertible in the tower of simple extensions associated with \\spad{[t1,{}...,{}\\spad{ti}]}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Kalkbrener of a given ideal \\spad{I} iff the radical of \\spad{I} is equal to the intersection of the radical ideals generated by the saturated ideals of the \\spad{[T1,{}...,{}\\spad{Ti}]}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Kalkbrener of a given triangular set \\spad{T} iff it is a split of Kalkbrener of the saturated ideal of \\spad{T}. Let \\spad{K} be an algebraic closure of \\spad{k}. Assume that \\spad{V} is finite with cardinality \\spad{n} and let \\spad{A} be the affine space \\spad{K^n}. For a regular triangular set \\spad{T} let denote by \\spad{W(T)} the set of regular zeros of \\spad{T}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Lazard of a given subset \\spad{S} of \\spad{A} iff the union of the \\spad{W(\\spad{Ti})} contains \\spad{S} and is contained in the closure of \\spad{S} (\\spad{w}.\\spad{r}.\\spad{t}. Zariski topology). A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Lazard of a given triangular set \\spad{T} if it is a split of Lazard of \\spad{W(T)}. Note that if \\spad{[T1,{}...,{}Ts]} is a split of Lazard of \\spad{T} then it is also a split of Kalkbrener of \\spad{T}. The converse is \\spad{false}. This category provides operations related to both kinds of splits,{} the former being related to ideals decomposition whereas the latter deals with varieties decomposition. See the example illustrating the RegularTriangularSet constructor for more explanations about decompositions by means of regular triangular sets.")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|)) "\\spad{zeroSetSplit(lp,{}clos?)} returns \\spad{lts} a split of Kalkbrener of the radical ideal associated with \\spad{lp}. If \\spad{clos?} is \\spad{false},{} it is also a decomposition of the variety associated with \\spad{lp} into the regular zero set of the \\spad{ts} in \\spad{lts} (or,{} in other words,{} a split of Lazard of this variety). See the example illustrating the \\spadtype{RegularTriangularSet} constructor for more explanations about decompositions by means of regular triangular sets.")) (|extend| (((|List| $) (|List| |#4|) (|List| $)) "\\spad{extend(lp,{}lts)} returns the same as \\spad{concat([extend(lp,{}ts) for ts in lts])|}") (((|List| $) (|List| |#4|) $) "\\spad{extend(lp,{}ts)} returns \\spad{ts} if \\spad{empty? lp} \\spad{extend(p,{}ts)} if \\spad{lp = [p]} else \\spad{extend(first lp,{} extend(rest lp,{} ts))}") (((|List| $) |#4| (|List| $)) "\\spad{extend(p,{}lts)} returns the same as \\spad{concat([extend(p,{}ts) for ts in lts])|}") (((|List| $) |#4| $) "\\spad{extend(p,{}ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is not a regular triangular set.")) (|internalAugment| (($ (|List| |#4|) $) "\\spad{internalAugment(lp,{}ts)} returns \\spad{ts} if \\spad{lp} is empty otherwise returns \\spad{internalAugment(rest lp,{} internalAugment(first lp,{} ts))}") (($ |#4| $) "\\spad{internalAugment(p,{}ts)} assumes that \\spad{augment(p,{}ts)} returns a singleton and returns it.")) (|augment| (((|List| $) (|List| |#4|) (|List| $)) "\\spad{augment(lp,{}lts)} returns the same as \\spad{concat([augment(lp,{}ts) for ts in lts])}") (((|List| $) (|List| |#4|) $) "\\spad{augment(lp,{}ts)} returns \\spad{ts} if \\spad{empty? lp},{} \\spad{augment(p,{}ts)} if \\spad{lp = [p]},{} otherwise \\spad{augment(first lp,{} augment(rest lp,{} ts))}") (((|List| $) |#4| (|List| $)) "\\spad{augment(p,{}lts)} returns the same as \\spad{concat([augment(p,{}ts) for ts in lts])}") (((|List| $) |#4| $) "\\spad{augment(p,{}ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. This operation assumes also that if \\spad{p} is added to \\spad{ts} the resulting set,{} say \\spad{ts+p},{} is a regular triangular set. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is required to be square-free.")) (|intersect| (((|List| $) |#4| (|List| $)) "\\spad{intersect(p,{}lts)} returns the same as \\spad{intersect([p],{}lts)}") (((|List| $) (|List| |#4|) (|List| $)) "\\spad{intersect(lp,{}lts)} returns the same as \\spad{concat([intersect(lp,{}ts) for ts in lts])|}") (((|List| $) (|List| |#4|) $) "\\spad{intersect(lp,{}ts)} returns \\spad{lts} a split of Lazard of the intersection of the affine variety associated with \\spad{lp} and the regular zero set of \\spad{ts}.") (((|List| $) |#4| $) "\\spad{intersect(p,{}ts)} returns the same as \\spad{intersect([p],{}ts)}")) (|squareFreePart| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| $))) |#4| $) "\\spad{squareFreePart(p,{}ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a square-free polynomial \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} this polynomial being associated with \\spad{p} modulo \\spad{lpwt.i.tower},{} for every \\spad{i}. Moreover,{} the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. WARNING: This assumes that \\spad{p} is a non-constant polynomial such that if \\spad{p} is added to \\spad{ts},{} then the resulting set is a regular triangular set.")) (|lastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| $))) |#4| |#4| $) "\\spad{lastSubResultant(p1,{}p2,{}ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} for every \\spad{i},{} and such that the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. Moreover,{} if \\spad{p1} and \\spad{p2} do not have a non-trivial \\spad{gcd} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower} then \\spad{lpwt.i.val} is the resultant of these polynomials \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower}. This assumes that \\spad{p1} and \\spad{p2} have the same main variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|lastSubResultantElseSplit| (((|Union| |#4| (|List| $)) |#4| |#4| $) "\\spad{lastSubResultantElseSplit(p1,{}p2,{}ts)} returns either \\spad{g} a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. the \\spad{ts} or a split of Kalkbrener of \\spad{ts}. This assumes that \\spad{p1} and \\spad{p2} have the same maim variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|invertibleSet| (((|List| $) |#4| $) "\\spad{invertibleSet(p,{}ts)} returns a split of Kalkbrener of the quotient ideal of the ideal \\axiom{\\spad{I}} by \\spad{p} where \\spad{I} is the radical of saturated of \\spad{ts}.")) (|invertible?| (((|Boolean|) |#4| $) "\\spad{invertible?(p,{}ts)} returns \\spad{true} iff \\spad{p} is invertible in the tower associated with \\spad{ts}.") (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| $))) |#4| $) "\\spad{invertible?(p,{}ts)} returns \\spad{lbwt} where \\spad{lbwt.i} is the result of \\spad{invertibleElseSplit?(p,{}lbwt.i.tower)} and the list of the \\spad{(lqrwt.i).tower} is a split of Kalkbrener of \\spad{ts}.")) (|invertibleElseSplit?| (((|Union| (|Boolean|) (|List| $)) |#4| $) "\\spad{invertibleElseSplit?(p,{}ts)} returns \\spad{true} (resp. \\spad{false}) if \\spad{p} is invertible in the tower associated with \\spad{ts} or returns a split of Kalkbrener of \\spad{ts}.")) (|purelyAlgebraicLeadingMonomial?| (((|Boolean|) |#4| $) "\\spad{purelyAlgebraicLeadingMonomial?(p,{}ts)} returns \\spad{true} iff the main variable of any non-constant iterarted initial of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|algebraicCoefficients?| (((|Boolean|) |#4| $) "\\spad{algebraicCoefficients?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} which is not the main one of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|purelyTranscendental?| (((|Boolean|) |#4| $) "\\spad{purelyTranscendental?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} is not algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}")) (|purelyAlgebraic?| (((|Boolean|) $) "\\spad{purelyAlgebraic?(ts)} returns \\spad{true} iff for every algebraic variable \\spad{v} of \\spad{ts} we have \\spad{algebraicCoefficients?(t_v,{}ts_v_-)} where \\spad{ts_v} is select from TriangularSetCategory(\\spad{ts},{}\\spad{v}) and \\spad{ts_v_-} is collectUnder from TriangularSetCategory(\\spad{ts},{}\\spad{v}).") (((|Boolean|) |#4| $) "\\spad{purelyAlgebraic?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1067 R E V P TS) 
+(-1068 R E V P TS) 
 ((|constructor| (NIL "An internal package for computing gcds and resultants of univariate polynomials with coefficients in a tower of simple extensions of a field.")) (|toseSquareFreePart| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{toseSquareFreePart(\\spad{p},{}\\spad{ts})} has the same specifications as squareFreePart from RegularTriangularSetCategory.")) (|toseInvertibleSet| (((|List| |#5|) |#4| |#5|) "\\axiom{toseInvertibleSet(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as invertibleSet from RegularTriangularSetCategory.")) (|toseInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{toseInvertible?(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as invertible? from RegularTriangularSetCategory.") (((|Boolean|) |#4| |#5|) "\\axiom{toseInvertible?(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as invertible? from RegularTriangularSetCategory.")) (|toseLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{toseLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as lastSubResultant from RegularTriangularSetCategory.")) (|integralLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{integralLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|internalLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) (|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) |#3| (|Boolean|)) "\\axiom{internalLastSubResultant(lpwt,{}\\spad{v},{}flag)} is an internal subroutine,{} exported only for developement.") (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5| (|Boolean|) (|Boolean|)) "\\axiom{internalLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts},{}inv?,{}break?)} is an internal subroutine,{} exported only for developement.")) (|prepareSubResAlgo| (((|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{prepareSubResAlgo(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|stopTableInvSet!| (((|Void|)) "\\axiom{stopTableInvSet!()} is an internal subroutine,{} exported only for developement.")) (|startTableInvSet!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableInvSet!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement.")) (|stopTableGcd!| (((|Void|)) "\\axiom{stopTableGcd!()} is an internal subroutine,{} exported only for developement.")) (|startTableGcd!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableGcd!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement."))) 
 NIL 
 NIL 
-(-1068 |f|) 
+(-1069 |f|) 
 ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) 
 NIL 
 NIL 
-(-1069 |Base| R -1478) 
-((|constructor| (NIL "Rules for the pattern matcher")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,{}f,{}n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r,{} [a1,{}...,{}an],{} f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,{}...,{}an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f,{} g,{} [f1,{}...,{}fn])} creates the rewrite rule \\spad{f == eval(eval(g,{} g is f),{} [f1,{}...,{}fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\spad{rule(f,{} g)} creates the rewrite rule: \\spad{f == eval(g,{} g is f)},{} with left-hand side \\spad{f} and right-hand side \\spad{g}."))) 
+(-1070 |Base| R -1564) 
+((|constructor| (NIL "Rules for the pattern matcher")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,{}f,{}n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r,{} [a1,{}...,{}an],{} f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,{}...,{}an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f,{} g,{} [f1,{}...,{}fn])} creates the rewrite rule \\spad{f == eval(eval(g,{} g is f),{} [f1,{}...,{}fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\indented{1}{rule(\\spad{f},{} \\spad{g}) creates the rewrite rule: \\spad{f == eval(g,{} g is f)},{}} \\indented{1}{with left-hand side \\spad{f} and right-hand side \\spad{g}.} \\blankline \\spad{X} logrule \\spad{:=} rule log(\\spad{x}) + log(\\spad{y}) \\spad{==} log(x*y) \\spad{X} \\spad{f} \\spad{:=} log(sin(\\spad{x})) + log(\\spad{x}) \\spad{X} logrule \\spad{f}"))) 
 NIL 
 NIL 
-(-1070 |Base| R -1478) 
+(-1071 |Base| R -1564) 
 ((|constructor| (NIL "Sets of rules for the pattern matcher. A ruleset is a set of pattern matching rules grouped together.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,{}f,{}n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies all the rules of \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rules| (((|List| (|RewriteRule| |#1| |#2| |#3|)) $) "\\spad{rules(r)} returns the rules contained in \\spad{r}.")) (|ruleset| (($ (|List| (|RewriteRule| |#1| |#2| |#3|))) "\\spad{ruleset([r1,{}...,{}rn])} creates the rule set \\spad{{r1,{}...,{}rn}}."))) 
 NIL 
 NIL 
-(-1071 R |ls|) 
+(-1072 R |ls|) 
 ((|constructor| (NIL "A package for computing the rational univariate representation of a zero-dimensional algebraic variety given by a regular triangular set. This package is essentially an interface for the \\spadtype{InternalRationalUnivariateRepresentationPackage} constructor. It is used in the \\spadtype{ZeroDimensionalSolvePackage} for solving polynomial systems with finitely many solutions.")) (|rur| (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|)) "\\spad{rur(lp,{}univ?,{}check?)} returns the same as \\spad{rur(lp,{}true)}. Moreover,{} if \\spad{check?} is \\spad{true} then the result is checked.") (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|))) "\\spad{rur(lp)} returns the same as \\spad{rur(lp,{}true)}") (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|Boolean|)) "\\spad{rur(lp,{}univ?)} returns a rational univariate representation of \\spad{lp}. This assumes that \\spad{lp} defines a regular triangular \\spad{ts} whose associated variety is zero-dimensional over \\spad{R}. \\spad{rur(lp,{}univ?)} returns a list of items \\spad{[u,{}lc]} where \\spad{u} is an irreducible univariate polynomial and each \\spad{c} in \\spad{lc} involves two variables: one from \\spad{ls},{} called the coordinate of \\spad{c},{} and an extra variable which represents any root of \\spad{u}. Every root of \\spad{u} leads to a tuple of values for the coordinates of \\spad{lc}. Moreover,{} a point \\spad{x} belongs to the variety associated with \\spad{lp} iff there exists an item \\spad{[u,{}lc]} in \\spad{rur(lp,{}univ?)} and a root \\spad{r} of \\spad{u} such that \\spad{x} is given by the tuple of values for the coordinates of \\spad{lc} evaluated at \\spad{r}. If \\spad{univ?} is \\spad{true} then each polynomial \\spad{c} will have a constant leading coefficient \\spad{w}.\\spad{r}.\\spad{t}. its coordinate. See the example which illustrates the \\spadtype{ZeroDimensionalSolvePackage} package constructor."))) 
 NIL 
 NIL 
-(-1072 UP SAE UPA) 
+(-1073 UP SAE UPA) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of the rational numbers (\\spadtype{Fraction Integer}).")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) 
 NIL 
 NIL 
-(-1073 R UP M) 
+(-1074 R UP M) 
 ((|constructor| (NIL "Algebraic extension of a ring by a single polynomial. Domain which represents simple algebraic extensions of arbitrary rings. The first argument to the domain,{} \\spad{R},{} is the underlying ring,{} the second argument is a domain of univariate polynomials over \\spad{K},{} while the last argument specifies the defining minimal polynomial. The elements of the domain are canonically represented as polynomials of degree less than that of the minimal polynomial with coefficients in \\spad{R}. The second argument is both the type of the third argument and the underlying representation used by \\spadtype{SAE} itself."))) 
-((-4514 |has| |#1| (-365)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-350))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-350)))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-365)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-365)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-350))))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-365)))) (-12 (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (QUOTE (-365)))) (-2199 (-12 (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (QUOTE (-365)))) (|HasCategory| |#1| (QUOTE (-350))))) 
-(-1074 UP SAE UPA) 
+((-4528 |has| |#1| (-366)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-351))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-351)))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-366)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-366)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-351))))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-366)))) (-12 (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (QUOTE (-366)))) (-2232 (-12 (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (QUOTE (-366)))) (|HasCategory| |#1| (QUOTE (-351))))) 
+(-1075 UP SAE UPA) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of \\spadtype{Fraction Polynomial Integer}.")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) 
 NIL 
 NIL 
-(-1075) 
+(-1076) 
 ((|constructor| (NIL "This trivial domain lets us build Univariate Polynomials in an anonymous variable"))) 
 NIL 
 NIL 
-(-1076 S) 
+(-1077 S) 
 ((|constructor| (NIL "A sorted cache of a cachable set \\spad{S} is a dynamic structure that keeps the elements of \\spad{S} sorted and assigns an integer to each element of \\spad{S} once it is in the cache. This way,{} equality and ordering on \\spad{S} are tested directly on the integers associated with the elements of \\spad{S},{} once they have been entered in the cache.")) (|enterInCache| ((|#1| |#1| (|Mapping| (|Integer|) |#1| |#1|)) "\\spad{enterInCache(x,{} f)} enters \\spad{x} in the cache,{} calling \\spad{f(x,{} y)} to determine whether \\spad{x < y (f(x,{}y) < 0),{} x = y (f(x,{}y) = 0)},{} or \\spad{x > y (f(x,{}y) > 0)}. It returns \\spad{x} with an integer associated with it.") ((|#1| |#1| (|Mapping| (|Boolean|) |#1|)) "\\spad{enterInCache(x,{} f)} enters \\spad{x} in the cache,{} calling \\spad{f(y)} to determine whether \\spad{x} is equal to \\spad{y}. It returns \\spad{x} with an integer associated with it.")) (|cache| (((|List| |#1|)) "\\spad{cache()} returns the current cache as a list.")) (|clearCache| (((|Void|)) "\\spad{clearCache()} empties the cache."))) 
 NIL 
 NIL 
-(-1077 R) 
+(-1078 R) 
 ((|constructor| (NIL "StructuralConstantsPackage provides functions creating structural constants from a multiplication tables or a basis of a matrix algebra and other useful functions in this context.")) (|coordinates| (((|Vector| |#1|) (|Matrix| |#1|) (|List| (|Matrix| |#1|))) "\\spad{coordinates(a,{}[v1,{}...,{}vn])} returns the coordinates of \\spad{a} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|structuralConstants| (((|Vector| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{structuralConstants(basis)} takes the \\spad{basis} of a matrix algebra,{} \\spadignore{e.g.} the result of \\spadfun{basisOfCentroid} and calculates the structural constants. Note,{} that the it is not checked,{} whether \\spad{basis} really is a \\spad{basis} of a matrix algebra.") (((|Vector| (|Matrix| (|Polynomial| |#1|))) (|List| (|Symbol|)) (|Matrix| (|Polynomial| |#1|))) "\\spad{structuralConstants(ls,{}mt)} determines the structural constants of an algebra with generators \\spad{ls} and multiplication table \\spad{mt},{} the entries of which must be given as linear polynomials in the indeterminates given by \\spad{ls}. The result is in particular useful \\indented{1}{as fourth argument for \\spadtype{AlgebraGivenByStructuralConstants}} \\indented{1}{and \\spadtype{GenericNonAssociativeAlgebra}.}") (((|Vector| (|Matrix| (|Fraction| (|Polynomial| |#1|)))) (|List| (|Symbol|)) (|Matrix| (|Fraction| (|Polynomial| |#1|)))) "\\spad{structuralConstants(ls,{}mt)} determines the structural constants of an algebra with generators \\spad{ls} and multiplication table \\spad{mt},{} the entries of which must be given as linear polynomials in the indeterminates given by \\spad{ls}. The result is in particular useful \\indented{1}{as fourth argument for \\spadtype{AlgebraGivenByStructuralConstants}} \\indented{1}{and \\spadtype{GenericNonAssociativeAlgebra}.}"))) 
 NIL 
 NIL 
-(-1078 R) 
+(-1079 R) 
 ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-904))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (-12 (|HasCategory| (-1079 (-1161)) (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| (-1079 (-1161)) (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| (-1079 (-1161)) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| (-1079 (-1161)) (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| (-1079 (-1161)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-225))) (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#1| (QUOTE -4519)) (|HasCategory| |#1| (QUOTE (-453))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (|HasCategory| |#1| (QUOTE (-148))))) 
-(-1079 S) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (-12 (|HasCategory| (-1080 (-1163)) (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| (-1080 (-1163)) (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| (-1080 (-1163)) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| (-1080 (-1163)) (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| (-1080 (-1163)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-226))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#1| (QUOTE -4533)) (|HasCategory| |#1| (QUOTE (-454))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-1080 S) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) 
 NIL 
 NIL 
-(-1080 R S) 
+(-1081 R S) 
 ((|constructor| (NIL "This package provides operations for mapping functions onto segments.")) (|map| (((|List| |#2|) (|Mapping| |#2| |#1|) (|Segment| |#1|)) "\\spad{map(f,{}s)} expands the segment \\spad{s},{} applying \\spad{f} to each value. For example,{} if \\spad{s = l..h by k},{} then the list \\spad{[f(l),{} f(l+k),{}...,{} f(lN)]} is computed,{} where \\spad{lN <= h < lN+k}.") (((|Segment| |#2|) (|Mapping| |#2| |#1|) (|Segment| |#1|)) "\\spad{map(f,{}l..h)} returns a new segment \\spad{f(l)..f(h)}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-840)))) 
-(-1081 R S) 
+((|HasCategory| |#1| (QUOTE (-841)))) 
+(-1082 R S) 
 ((|constructor| (NIL "This package provides operations for mapping functions onto \\spadtype{SegmentBinding}\\spad{s}.")) (|map| (((|SegmentBinding| |#2|) (|Mapping| |#2| |#1|) (|SegmentBinding| |#1|)) "\\spad{map(f,{}v=a..b)} returns the value given by \\spad{v=f(a)..f(b)}."))) 
 NIL 
 NIL 
-(-1082 S) 
+(-1083 S) 
 ((|constructor| (NIL "This domain is used to provide the function argument syntax \\spad{v=a..b}. This is used,{} for example,{} by the top-level \\spadfun{draw} functions.")) (|segment| (((|Segment| |#1|) $) "\\spad{segment(segb)} returns the segment from the right hand side of the \\spadtype{SegmentBinding}. For example,{} if \\spad{segb} is \\spad{v=a..b},{} then \\spad{segment(segb)} returns \\spad{a..b}.")) (|variable| (((|Symbol|) $) "\\spad{variable(segb)} returns the variable from the left hand side of the \\spadtype{SegmentBinding}. For example,{} if \\spad{segb} is \\spad{v=a..b},{} then \\spad{variable(segb)} returns \\spad{v}.")) (|equation| (($ (|Symbol|) (|Segment| |#1|)) "\\spad{equation(v,{}a..b)} creates a segment binding value with variable \\spad{v} and segment \\spad{a..b}. Note that the interpreter parses \\spad{v=a..b} to this form."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-1090)))) 
-(-1083 S) 
+((|HasCategory| |#1| (QUOTE (-1091)))) 
+(-1084 S) 
 ((|constructor| (NIL "This category provides operations on ranges,{} or segments as they are called.")) (|convert| (($ |#1|) "\\spad{convert(i)} creates the segment \\spad{i..i}.")) (|segment| (($ |#1| |#1|) "\\spad{segment(i,{}j)} is an alternate way to create the segment \\spad{i..j}.")) (|incr| (((|Integer|) $) "\\spad{incr(s)} returns \\spad{n},{} where \\spad{s} is a segment in which every \\spad{n}\\spad{-}th element is used. Note that \\spad{incr(l..h by n) = n}.")) (|high| ((|#1| $) "\\spad{high(s)} returns the second endpoint of \\spad{s}. Note that \\spad{high(l..h) = h}.")) (|low| ((|#1| $) "\\spad{low(s)} returns the first endpoint of \\spad{s}. Note that \\spad{low(l..h) = l}.")) (|hi| ((|#1| $) "\\spad{\\spad{hi}(s)} returns the second endpoint of \\spad{s}. Note that \\spad{\\spad{hi}(l..h) = h}.")) (|lo| ((|#1| $) "\\spad{lo(s)} returns the first endpoint of \\spad{s}. Note that \\spad{lo(l..h) = l}.")) (BY (($ $ (|Integer|)) "\\spad{s by n} creates a new segment in which only every \\spad{n}\\spad{-}th element is used.")) (SEGMENT (($ |#1| |#1|) "\\spad{l..h} creates a segment with \\spad{l} and \\spad{h} as the endpoints."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-1084 S) 
+(-1085 S) 
 ((|constructor| (NIL "This type is used to specify a range of values from type \\spad{S}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (QUOTE (-1090)))) 
-(-1085 S L) 
+((|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-1091)))) 
+(-1086 S L) 
 ((|constructor| (NIL "This category provides an interface for expanding segments to a stream of elements.")) (|map| ((|#2| (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}l..h by k)} produces a value of type \\spad{L} by applying \\spad{f} to each of the succesive elements of the segment,{} that is,{} \\spad{[f(l),{} f(l+k),{} ...,{} f(lN)]},{} where \\spad{lN <= h < lN+k}.")) (|expand| ((|#2| $) "\\spad{expand(l..h by k)} creates value of type \\spad{L} with elements \\spad{l,{} l+k,{} ... lN} where \\spad{lN <= h < lN+k}. For example,{} \\spad{expand(1..5 by 2) = [1,{}3,{}5]}.") ((|#2| (|List| $)) "\\spad{expand(l)} creates a new value of type \\spad{L} in which each segment \\spad{l..h by k} is replaced with \\spad{l,{} l+k,{} ... lN},{} where \\spad{lN <= h < lN+k}. For example,{} \\spad{expand [1..4,{} 7..9] = [1,{}2,{}3,{}4,{}7,{}8,{}9]}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-1086 A S) 
+(-1087 A S) 
 ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#2| $) "\\spad{union(x,{}u)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{x},{}\\spad{u})} returns a copy of \\spad{u}.") (($ $ |#2|) "\\spad{union(u,{}x)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{u},{}\\spad{x})} returns a copy of \\spad{u}.") (($ $ $) "\\spad{union(u,{}v)} returns the set aggregate of elements which are members of either set aggregate \\spad{u} or \\spad{v}.")) (|subset?| (((|Boolean|) $ $) "\\spad{subset?(u,{}v)} tests if \\spad{u} is a subset of \\spad{v}. Note that equivalent to \\axiom{reduce(and,{}{member?(\\spad{x},{}\\spad{v}) for \\spad{x} in \\spad{u}},{}\\spad{true},{}\\spad{false})}.")) (|symmetricDifference| (($ $ $) "\\spad{symmetricDifference(u,{}v)} returns the set aggregate of elements \\spad{x} which are members of set aggregate \\spad{u} or set aggregate \\spad{v} but not both. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{symmetricDifference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note that \\axiom{symmetricDifference(\\spad{u},{}\\spad{v}) = \\indented{1}{union(difference(\\spad{u},{}\\spad{v}),{}difference(\\spad{v},{}\\spad{u}))}}")) (|difference| (($ $ |#2|) "\\spad{difference(u,{}x)} returns the set aggregate \\spad{u} with element \\spad{x} removed. If \\spad{u} does not contain \\spad{x},{} a copy of \\spad{u} is returned. Note that \\axiom{difference(\\spad{s},{} \\spad{x}) = difference(\\spad{s},{} {\\spad{x}})}.") (($ $ $) "\\spad{difference(u,{}v)} returns the set aggregate \\spad{w} consisting of elements in set aggregate \\spad{u} but not in set aggregate \\spad{v}. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{difference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note that equivalent to the notation (not currently supported) \\axiom{{\\spad{x} for \\spad{x} in \\spad{u} | not member?(\\spad{x},{}\\spad{v})}}.")) (|intersect| (($ $ $) "\\spad{intersect(u,{}v)} returns the set aggregate \\spad{w} consisting of elements common to both set aggregates \\spad{u} and \\spad{v}. Note that equivalent to the notation (not currently supported) {\\spad{x} for \\spad{x} in \\spad{u} | member?(\\spad{x},{}\\spad{v})}.")) (|set| (($ (|List| |#2|)) "\\spad{set([x,{}y,{}...,{}z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.") (($) "\\spad{set()}\\$\\spad{D} creates an empty set aggregate of type \\spad{D}.")) (|brace| (($ (|List| |#2|)) "\\spad{brace([x,{}y,{}...,{}z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}. This form is considered obsolete. Use \\axiomFun{set} instead.") (($) "\\spad{brace()}\\$\\spad{D} (otherwise written {}\\$\\spad{D}) creates an empty set aggregate of type \\spad{D}. This form is considered obsolete. Use \\axiomFun{set} instead.")) (< (((|Boolean|) $ $) "\\spad{s < t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) 
 NIL 
 NIL 
-(-1087 S) 
+(-1088 S) 
 ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#1| $) "\\spad{union(x,{}u)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{x},{}\\spad{u})} returns a copy of \\spad{u}.") (($ $ |#1|) "\\spad{union(u,{}x)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{u},{}\\spad{x})} returns a copy of \\spad{u}.") (($ $ $) "\\spad{union(u,{}v)} returns the set aggregate of elements which are members of either set aggregate \\spad{u} or \\spad{v}.")) (|subset?| (((|Boolean|) $ $) "\\spad{subset?(u,{}v)} tests if \\spad{u} is a subset of \\spad{v}. Note that equivalent to \\axiom{reduce(and,{}{member?(\\spad{x},{}\\spad{v}) for \\spad{x} in \\spad{u}},{}\\spad{true},{}\\spad{false})}.")) (|symmetricDifference| (($ $ $) "\\spad{symmetricDifference(u,{}v)} returns the set aggregate of elements \\spad{x} which are members of set aggregate \\spad{u} or set aggregate \\spad{v} but not both. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{symmetricDifference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note that \\axiom{symmetricDifference(\\spad{u},{}\\spad{v}) = \\indented{1}{union(difference(\\spad{u},{}\\spad{v}),{}difference(\\spad{v},{}\\spad{u}))}}")) (|difference| (($ $ |#1|) "\\spad{difference(u,{}x)} returns the set aggregate \\spad{u} with element \\spad{x} removed. If \\spad{u} does not contain \\spad{x},{} a copy of \\spad{u} is returned. Note that \\axiom{difference(\\spad{s},{} \\spad{x}) = difference(\\spad{s},{} {\\spad{x}})}.") (($ $ $) "\\spad{difference(u,{}v)} returns the set aggregate \\spad{w} consisting of elements in set aggregate \\spad{u} but not in set aggregate \\spad{v}. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{difference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note that equivalent to the notation (not currently supported) \\axiom{{\\spad{x} for \\spad{x} in \\spad{u} | not member?(\\spad{x},{}\\spad{v})}}.")) (|intersect| (($ $ $) "\\spad{intersect(u,{}v)} returns the set aggregate \\spad{w} consisting of elements common to both set aggregates \\spad{u} and \\spad{v}. Note that equivalent to the notation (not currently supported) {\\spad{x} for \\spad{x} in \\spad{u} | member?(\\spad{x},{}\\spad{v})}.")) (|set| (($ (|List| |#1|)) "\\spad{set([x,{}y,{}...,{}z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.") (($) "\\spad{set()}\\$\\spad{D} creates an empty set aggregate of type \\spad{D}.")) (|brace| (($ (|List| |#1|)) "\\spad{brace([x,{}y,{}...,{}z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}. This form is considered obsolete. Use \\axiomFun{set} instead.") (($) "\\spad{brace()}\\$\\spad{D} (otherwise written {}\\$\\spad{D}) creates an empty set aggregate of type \\spad{D}. This form is considered obsolete. Use \\axiomFun{set} instead.")) (< (((|Boolean|) $ $) "\\spad{s < t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) 
-((-4511 . T) (-3973 . T)) 
+((-4525 . T) (-2982 . T)) 
 NIL 
-(-1088) 
+(-1089) 
 ((|constructor| (NIL "This is part of the PAFF package,{} related to projective space."))) 
 NIL 
 NIL 
-(-1089 S) 
+(-1090 S) 
 ((|constructor| (NIL "\\spadtype{SetCategory} is the basic category for describing a collection of elements with \\spadop{=} (equality) and \\spadfun{coerce} to output form. \\blankline Conditional Attributes\\spad{\\br} \\tab{5}canonical\\tab{5}data structure equality is the same as \\spadop{=}")) (|latex| (((|String|) $) "\\spad{latex(s)} returns a LaTeX-printable output representation of \\spad{s}.")) (|hash| (((|SingleInteger|) $) "\\spad{hash(s)} calculates a hash code for \\spad{s}."))) 
 NIL 
 NIL 
-(-1090) 
+(-1091) 
 ((|constructor| (NIL "\\spadtype{SetCategory} is the basic category for describing a collection of elements with \\spadop{=} (equality) and \\spadfun{coerce} to output form. \\blankline Conditional Attributes\\spad{\\br} \\tab{5}canonical\\tab{5}data structure equality is the same as \\spadop{=}")) (|latex| (((|String|) $) "\\spad{latex(s)} returns a LaTeX-printable output representation of \\spad{s}.")) (|hash| (((|SingleInteger|) $) "\\spad{hash(s)} calculates a hash code for \\spad{s}."))) 
 NIL 
 NIL 
-(-1091 |m| |n|) 
+(-1092 |m| |n|) 
 ((|constructor| (NIL "\\spadtype{SetOfMIntegersInOneToN} implements the subsets of \\spad{M} integers in the interval \\spad{[1..n]}")) (|delta| (((|NonNegativeInteger|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{delta(S,{}k,{}p)} returns the number of elements of \\spad{S} which are strictly between \\spad{p} and the \\spad{k^}{th} element of \\spad{S}.")) (|member?| (((|Boolean|) (|PositiveInteger|) $) "\\spad{member?(p,{} s)} returns \\spad{true} is \\spad{p} is in \\spad{s},{} \\spad{false} otherwise.")) (|enumerate| (((|Vector| $)) "\\spad{enumerate()} returns a vector of all the sets of \\spad{M} integers in \\spad{1..n}.")) (|setOfMinN| (($ (|List| (|PositiveInteger|))) "\\spad{setOfMinN([a_1,{}...,{}a_m])} returns the set {\\spad{a_1},{}...,{}a_m}. Error if {\\spad{a_1},{}...,{}a_m} is not a set of \\spad{M} integers in \\spad{1..n}.")) (|elements| (((|List| (|PositiveInteger|)) $) "\\spad{elements(S)} returns the list of the elements of \\spad{S} in increasing order.")) (|replaceKthElement| (((|Union| $ "failed") $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{replaceKthElement(S,{}k,{}p)} replaces the \\spad{k^}{th} element of \\spad{S} by \\spad{p},{} and returns \"failed\" if the result is not a set of \\spad{M} integers in \\spad{1..n} any more.")) (|incrementKthElement| (((|Union| $ "failed") $ (|PositiveInteger|)) "\\spad{incrementKthElement(S,{}k)} increments the \\spad{k^}{th} element of \\spad{S},{} and returns \"failed\" if the result is not a set of \\spad{M} integers in \\spad{1..n} any more."))) 
 NIL 
 NIL 
-(-1092 S) 
+(-1093 S) 
 ((|constructor| (NIL "A set over a domain \\spad{D} models the usual mathematical notion of a finite set of elements from \\spad{D}. Sets are unordered collections of distinct elements (that is,{} order and duplication does not matter). The notation \\spad{set [a,{}b,{}c]} can be used to create a set and the usual operations such as union and intersection are available to form new sets. In our implementation,{} \\Language{} maintains the entries in sorted order. Specifically,{} the parts function returns the entries as a list in ascending order and the extract operation returns the maximum entry. Given two sets \\spad{s} and \\spad{t} where \\spad{\\#s = m} and \\spad{\\#t = n},{} the complexity of\\spad{\\br} \\tab{5}\\spad{s = t} is \\spad{O(min(n,{}m))}\\spad{\\br} \\tab{5}\\spad{s < t} is \\spad{O(max(n,{}m))}\\spad{\\br} \\tab{5}\\spad{union(s,{}t)},{} \\spad{intersect(s,{}t)},{} \\spad{minus(s,{}t)},{}\\spad{\\br} \\tab{10 \\spad{symmetricDifference(s,{}t)} is \\spad{O(max(n,{}m))}\\spad{\\br} \\tab{5}\\spad{member(x,{}t)} is \\spad{O(n log n)}\\spad{\\br} \\tab{5}\\spad{insert(x,{}t)} and \\spad{remove(x,{}t)} is \\spad{O(n)}"))) 
-((-4521 . T) (-4511 . T) (-4522 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-370))) (|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (QUOTE (-842))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-370)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-1093 |Str| |Sym| |Int| |Flt| |Expr|) 
+((-4535 . T) (-4525 . T) (-4536 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-371))) (|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (QUOTE (-843))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-371)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-1094 |Str| |Sym| |Int| |Flt| |Expr|) 
 ((|constructor| (NIL "This category allows the manipulation of Lisp values while keeping the grunge fairly localized.")) (|elt| (($ $ (|List| (|Integer|))) "\\spad{elt((a1,{}...,{}an),{} [i1,{}...,{}im])} returns \\spad{(a_i1,{}...,{}a_im)}.") (($ $ (|Integer|)) "\\spad{elt((a1,{}...,{}an),{} i)} returns \\spad{\\spad{ai}}.")) (|#| (((|Integer|) $) "\\spad{\\#((a1,{}...,{}an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,{}...,{}an))} returns \\spad{(a2,{}...,{}an)}.")) (|car| (($ $) "\\spad{car((a1,{}...,{}an))} returns \\spad{a1}.")) (|convert| (($ |#5|) "\\spad{convert(x)} returns the Lisp atom \\spad{x}.") (($ |#4|) "\\spad{convert(x)} returns the Lisp atom \\spad{x}.") (($ |#3|) "\\spad{convert(x)} returns the Lisp atom \\spad{x}.") (($ |#2|) "\\spad{convert(x)} returns the Lisp atom \\spad{x}.") (($ |#1|) "\\spad{convert(x)} returns the Lisp atom \\spad{x}.") (($ (|List| $)) "\\spad{convert([a1,{}...,{}an])} returns an \\spad{S}-expression \\spad{(a1,{}...,{}an)}.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,{}...,{}an))} returns the list [\\spad{a1},{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) (|atom?| (((|Boolean|) $) "\\spad{atom?(s)} is \\spad{true} if \\spad{s} is a Lisp atom.")) (|null?| (((|Boolean|) $) "\\spad{null?(s)} is \\spad{true} if \\spad{s} is the \\spad{S}-expression ().")) (|eq| (((|Boolean|) $ $) "\\spad{eq(s,{} t)} is \\spad{true} if EQ(\\spad{s},{}\\spad{t}) is \\spad{true} in Lisp."))) 
 NIL 
 NIL 
-(-1094) 
+(-1095) 
 ((|constructor| (NIL "This domain allows the manipulation of the usual Lisp values."))) 
 NIL 
 NIL 
-(-1095 |Str| |Sym| |Int| |Flt| |Expr|) 
+(-1096 |Str| |Sym| |Int| |Flt| |Expr|) 
 ((|constructor| (NIL "This domain allows the manipulation of Lisp values over arbitrary atomic types."))) 
 NIL 
 NIL 
-(-1096 R FS) 
+(-1097 R FS) 
 ((|constructor| (NIL "\\axiomType{SimpleFortranProgram(\\spad{f},{}type)} provides a simple model of some FORTRAN subprograms,{} making it possible to coerce objects of various domains into a FORTRAN subprogram called \\axiom{\\spad{f}}. These can then be translated into legal FORTRAN code.")) (|fortran| (($ (|Symbol|) (|FortranScalarType|) |#2|) "\\spad{fortran(fname,{}ftype,{}body)} builds an object of type \\axiomType{FortranProgramCategory}. The three arguments specify the name,{} the type and the \\spad{body} of the program."))) 
 NIL 
 NIL 
-(-1097 R E V P TS) 
+(-1098 R E V P TS) 
 ((|constructor| (NIL "A internal package for removing redundant quasi-components and redundant branches when decomposing a variety by means of quasi-components of regular triangular sets.")) (|branchIfCan| (((|Union| (|Record| (|:| |eq| (|List| |#4|)) (|:| |tower| |#5|) (|:| |ineq| (|List| |#4|))) "failed") (|List| |#4|) |#5| (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{branchIfCan(leq,{}\\spad{ts},{}lineq,{}\\spad{b1},{}\\spad{b2},{}\\spad{b3},{}\\spad{b4},{}\\spad{b5})} is an internal subroutine,{} exported only for developement.")) (|prepareDecompose| (((|List| (|Record| (|:| |eq| (|List| |#4|)) (|:| |tower| |#5|) (|:| |ineq| (|List| |#4|)))) (|List| |#4|) (|List| |#5|) (|Boolean|) (|Boolean|)) "\\axiom{prepareDecompose(\\spad{lp},{}\\spad{lts},{}\\spad{b1},{}\\spad{b2})} is an internal subroutine,{} exported only for developement.")) (|removeSuperfluousCases| (((|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) (|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|)))) "\\axiom{removeSuperfluousCases(llpwt)} is an internal subroutine,{} exported only for developement.")) (|subCase?| (((|Boolean|) (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|)) (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) "\\axiom{subCase?(\\spad{lpwt1},{}\\spad{lpwt2})} is an internal subroutine,{} exported only for developement.")) (|removeSuperfluousQuasiComponents| (((|List| |#5|) (|List| |#5|)) "\\axiom{removeSuperfluousQuasiComponents(\\spad{lts})} removes from \\axiom{\\spad{lts}} any \\spad{ts} such that \\axiom{subQuasiComponent?(\\spad{ts},{}us)} holds for another \\spad{us} in \\axiom{\\spad{lts}}.")) (|subQuasiComponent?| (((|Boolean|) |#5| (|List| |#5|)) "\\axiom{subQuasiComponent?(\\spad{ts},{}lus)} returns \\spad{true} iff \\axiom{subQuasiComponent?(\\spad{ts},{}us)} holds for one \\spad{us} in \\spad{lus}.") (((|Boolean|) |#5| |#5|) "\\axiom{subQuasiComponent?(\\spad{ts},{}us)} returns \\spad{true} iff internalSubQuasiComponent?(\\spad{ts},{}us) from QuasiComponentPackage returns \\spad{true}.")) (|internalSubQuasiComponent?| (((|Union| (|Boolean|) "failed") |#5| |#5|) "\\axiom{internalSubQuasiComponent?(\\spad{ts},{}us)} returns a boolean \\spad{b} value if the fact the regular zero set of \\axiom{us} contains that of \\axiom{\\spad{ts}} can be decided (and in that case \\axiom{\\spad{b}} gives this inclusion) otherwise returns \\axiom{\"failed\"}.")) (|infRittWu?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{infRittWu?(\\spad{lp1},{}\\spad{lp2})} is an internal subroutine,{} exported only for developement.")) (|internalInfRittWu?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{internalInfRittWu?(\\spad{lp1},{}\\spad{lp2})} is an internal subroutine,{} exported only for developement.")) (|internalSubPolSet?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{internalSubPolSet?(\\spad{lp1},{}\\spad{lp2})} returns \\spad{true} iff \\axiom{\\spad{lp1}} is a sub-set of \\axiom{\\spad{lp2}} assuming that these lists are sorted increasingly \\spad{w}.\\spad{r}.\\spad{t}. infRittWu? from RecursivePolynomialCategory.")) (|subPolSet?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{subPolSet?(\\spad{lp1},{}\\spad{lp2})} returns \\spad{true} iff \\axiom{\\spad{lp1}} is a sub-set of \\axiom{\\spad{lp2}}.")) (|subTriSet?| (((|Boolean|) |#5| |#5|) "\\axiom{subTriSet?(\\spad{ts},{}us)} returns \\spad{true} iff \\axiom{\\spad{ts}} is a sub-set of \\axiom{us}.")) (|moreAlgebraic?| (((|Boolean|) |#5| |#5|) "\\axiom{moreAlgebraic?(\\spad{ts},{}us)} returns \\spad{false} iff \\axiom{\\spad{ts}} and \\axiom{us} are both empty,{} or \\axiom{\\spad{ts}} has less elements than \\axiom{us},{} or some variable is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{us} and is not \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|algebraicSort| (((|List| |#5|) (|List| |#5|)) "\\axiom{algebraicSort(\\spad{lts})} sorts \\axiom{\\spad{lts}} \\spad{w}.\\spad{r}.\\spad{t} supDimElseRittWu from QuasiComponentPackage.")) (|supDimElseRittWu?| (((|Boolean|) |#5| |#5|) "\\axiom{supDimElseRittWu(\\spad{ts},{}us)} returns \\spad{true} iff \\axiom{\\spad{ts}} has less elements than \\axiom{us} otherwise if \\axiom{\\spad{ts}} has higher rank than \\axiom{us} \\spad{w}.\\spad{r}.\\spad{t}. Riit and Wu ordering.")) (|stopTable!| (((|Void|)) "\\axiom{stopTableGcd!()} is an internal subroutine,{} exported only for developement.")) (|startTable!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableGcd!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement."))) 
 NIL 
 NIL 
-(-1098 R E V P TS) 
+(-1099 R E V P TS) 
 ((|constructor| (NIL "A internal package for computing gcds and resultants of univariate polynomials with coefficients in a tower of simple extensions of a field. There is no need to use directly this package since its main operations are available from \\spad{TS}."))) 
 NIL 
 NIL 
-(-1099 R E V P) 
+(-1100 R E V P) 
 ((|constructor| (NIL "The category of square-free regular triangular sets. A regular triangular set \\spad{ts} is square-free if the \\spad{gcd} of any polynomial \\spad{p} in \\spad{ts} and differentiate(\\spad{p},{}mvar(\\spad{p})) \\spad{w}.\\spad{r}.\\spad{t}. collectUnder(\\spad{ts},{}mvar(\\spad{p})) has degree zero \\spad{w}.\\spad{r}.\\spad{t}. \\spad{mvar(p)}. Thus any square-free regular set defines a tower of square-free simple extensions."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1100) 
+(-1101) 
 ((|constructor| (NIL "SymmetricGroupCombinatoricFunctions contains combinatoric functions concerning symmetric groups and representation theory: list young tableaus,{} improper partitions,{} subsets bijection of Coleman.")) (|unrankImproperPartitions1| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{unrankImproperPartitions1(n,{}m,{}k)} computes the \\spad{k}-th improper partition of nonnegative \\spad{n} in at most \\spad{m} nonnegative parts ordered as follows: first,{} in reverse lexicographically according to their non-zero parts,{} then according to their positions (\\spadignore{i.e.} lexicographical order using subSet: [3,{}0,{}0] < [0,{}3,{}0] < [0,{}0,{}3] < [2,{}1,{}0] < [2,{}0,{}1] < [0,{}2,{}1] < [1,{}2,{}0] < [1,{}0,{}2] < [0,{}1,{}2] < [1,{}1,{}1]. Note that counting of subtrees is done by numberOfImproperPartitionsInternal.")) (|unrankImproperPartitions0| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{unrankImproperPartitions0(n,{}m,{}k)} computes the \\spad{k}-th improper partition of nonnegative \\spad{n} in \\spad{m} nonnegative parts in reverse lexicographical order. Example: [0,{}0,{}3] < [0,{}1,{}2] < [0,{}2,{}1] < [0,{}3,{}0] < [1,{}0,{}2] < [1,{}1,{}1] < [1,{}2,{}0] < [2,{}0,{}1] < [2,{}1,{}0] < [3,{}0,{}0]. Error: if \\spad{k} is negative or too big. Note that counting of subtrees is done by numberOfImproperPartitions")) (|subSet| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subSet(n,{}m,{}k)} calculates the \\spad{k}-th \\spad{m}-subset of the set 0,{}1,{}...,{}(\\spad{n}-1) in the lexicographic order considered as a decreasing map from 0,{}...,{}(\\spad{m}-1) into 0,{}...,{}(\\spad{n}-1). See \\spad{S}.\\spad{G}. Williamson: Theorem 1.60. Error: if not (0 \\spad{<=} \\spad{m} \\spad{<=} \\spad{n} and 0 < = \\spad{k} < (\\spad{n} choose \\spad{m})).")) (|numberOfImproperPartitions| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{numberOfImproperPartitions(n,{}m)} computes the number of partitions of the nonnegative integer \\spad{n} in \\spad{m} nonnegative parts with regarding the order (improper partitions). Example: numberOfImproperPartitions (3,{}3) is 10,{} since [0,{}0,{}3],{} [0,{}1,{}2],{} [0,{}2,{}1],{} [0,{}3,{}0],{} [1,{}0,{}2],{} [1,{}1,{}1],{} [1,{}2,{}0],{} [2,{}0,{}1],{} [2,{}1,{}0],{} [3,{}0,{}0] are the possibilities. Note that this operation has a recursive implementation.")) (|nextPartition| (((|Vector| (|Integer|)) (|List| (|Integer|)) (|Vector| (|Integer|)) (|Integer|)) "\\spad{nextPartition(gamma,{}part,{}number)} generates the partition of \\spad{number} which follows \\spad{part} according to the right-to-left lexicographical order. The partition has the property that its components do not exceed the corresponding components of \\spad{gamma}. the first partition is achieved by part=[]. Also,{} [] indicates that \\spad{part} is the last partition.") (((|Vector| (|Integer|)) (|Vector| (|Integer|)) (|Vector| (|Integer|)) (|Integer|)) "\\spad{nextPartition(gamma,{}part,{}number)} generates the partition of \\spad{number} which follows \\spad{part} according to the right-to-left lexicographical order. The partition has the property that its components do not exceed the corresponding components of \\spad{gamma}. The first partition is achieved by part=[]. Also,{} [] indicates that \\spad{part} is the last partition.")) (|nextLatticePermutation| (((|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Boolean|)) "\\spad{nextLatticePermutation(lambda,{}lattP,{}constructNotFirst)} generates the lattice permutation according to the proper partition \\spad{lambda} succeeding the lattice permutation \\spad{lattP} in lexicographical order as long as \\spad{constructNotFirst} is \\spad{true}. If \\spad{constructNotFirst} is \\spad{false},{} the first lattice permutation is returned. The result nil indicates that \\spad{lattP} has no successor.")) (|nextColeman| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Matrix| (|Integer|))) "\\spad{nextColeman(alpha,{}beta,{}C)} generates the next Coleman matrix of column sums \\spad{alpha} and row sums \\spad{beta} according to the lexicographical order from bottom-to-top. The first Coleman matrix is achieved by C=new(1,{}1,{}0). Also,{} new(1,{}1,{}0) indicates that \\spad{C} is the last Coleman matrix.")) (|makeYoungTableau| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{makeYoungTableau(lambda,{}gitter)} computes for a given lattice permutation \\spad{gitter} and for an improper partition \\spad{lambda} the corresponding standard tableau of shape \\spad{lambda}. Notes: see listYoungTableaus. The entries are from 0,{}...,{}\\spad{n}-1.")) (|listYoungTableaus| (((|List| (|Matrix| (|Integer|))) (|List| (|Integer|))) "\\spad{listYoungTableaus(lambda)} where \\spad{lambda} is a proper partition generates the list of all standard tableaus of shape \\spad{lambda} by means of lattice permutations. The numbers of the lattice permutation are interpreted as column labels. Hence the contents of these lattice permutations are the conjugate of \\spad{lambda}. Notes: the functions nextLatticePermutation and makeYoungTableau are used. The entries are from 0,{}...,{}\\spad{n}-1.")) (|inverseColeman| (((|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Matrix| (|Integer|))) "\\spad{inverseColeman(alpha,{}beta,{}C)}: there is a bijection from the set of matrices having nonnegative entries and row sums \\spad{alpha},{} column sums \\spad{beta} to the set of Salpha - Sbeta double cosets of the symmetric group \\spad{Sn}. (Salpha is the Young subgroup corresponding to the improper partition \\spad{alpha}). For such a matrix \\spad{C},{} inverseColeman(\\spad{alpha},{}\\spad{beta},{}\\spad{C}) calculates the lexicographical smallest \\spad{pi} in the corresponding double coset. Note that the resulting permutation \\spad{pi} of {1,{}2,{}...,{}\\spad{n}} is given in list form. Notes: the inverse of this map is coleman. For details,{} see James/Kerber.")) (|coleman| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{coleman(alpha,{}beta,{}\\spad{pi})}: there is a bijection from the set of matrices having nonnegative entries and row sums \\spad{alpha},{} column sums \\spad{beta} to the set of Salpha - Sbeta double cosets of the symmetric group \\spad{Sn}. (Salpha is the Young subgroup corresponding to the improper partition \\spad{alpha}). For a representing element \\spad{pi} of such a double coset,{} coleman(\\spad{alpha},{}\\spad{beta},{}\\spad{pi}) generates the Coleman-matrix corresponding to \\spad{alpha},{} \\spad{beta},{} \\spad{pi}. Note that The permutation \\spad{pi} of {1,{}2,{}...,{}\\spad{n}} has to be given in list form. Note that the inverse of this map is inverseColeman (if \\spad{pi} is the lexicographical smallest permutation in the coset). For details see James/Kerber."))) 
 NIL 
 NIL 
-(-1101 S) 
+(-1102 S) 
 ((|constructor| (NIL "the class of all multiplicative semigroups,{} \\spadignore{i.e.} a set with an associative operation \\spadop{*}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{associative(\"*\":(\\%,{}\\%)->\\%)}\\tab{5}\\spad{ (x*y)*z = x*(y*z)} \\blankline Conditional attributes\\spad{\\br} \\tab{5}\\spad{commutative(\"*\":(\\%,{}\\%)->\\%)}\\tab{5}\\spad{ x*y = y*x }")) (^ (($ $ (|PositiveInteger|)) "\\spad{x^n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (** (($ $ (|PositiveInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (* (($ $ $) "\\spad{x*y} returns the product of \\spad{x} and \\spad{y}."))) 
 NIL 
 NIL 
-(-1102) 
+(-1103) 
 ((|constructor| (NIL "the class of all multiplicative semigroups,{} \\spadignore{i.e.} a set with an associative operation \\spadop{*}. \\blankline Axioms\\spad{\\br} \\tab{5}\\spad{associative(\"*\":(\\%,{}\\%)->\\%)}\\tab{5}\\spad{ (x*y)*z = x*(y*z)} \\blankline Conditional attributes\\spad{\\br} \\tab{5}\\spad{commutative(\"*\":(\\%,{}\\%)->\\%)}\\tab{5}\\spad{ x*y = y*x }")) (^ (($ $ (|PositiveInteger|)) "\\spad{x^n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (** (($ $ (|PositiveInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (* (($ $ $) "\\spad{x*y} returns the product of \\spad{x} and \\spad{y}."))) 
 NIL 
 NIL 
-(-1103 |dimtot| |dim1| S) 
+(-1104 |dimtot| |dim1| S) 
 ((|constructor| (NIL "This type represents the finite direct or cartesian product of an underlying ordered component type. The vectors are ordered as if they were split into two blocks. The \\spad{dim1} parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
-((-4515 |has| |#3| (-1047)) (-4516 |has| |#3| (-1047)) (-4518 |has| |#3| (-6 -4518)) ((-4523 "*") |has| |#3| (-172)) (-4521 . T)) 
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-303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-365)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-370)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-716)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-788)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-840)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1047)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -303) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1090)))))) 
-(-1104 R |x|) 
+((-4529 |has| |#3| (-1048)) (-4530 |has| |#3| (-1048)) (-4532 |has| |#3| (-6 -4532)) ((-4537 "*") |has| |#3| (-173)) (-4535 . T)) 
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|#3| (QUOTE -4532)) (|HasCategory| |#3| (QUOTE (-138))) (-2232 (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#3| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#3| (QUOTE (-138))) (|HasCategory| |#3| (QUOTE (-173))) (|HasCategory| |#3| (QUOTE (-226))) (|HasCategory| |#3| (QUOTE (-366))) (|HasCategory| |#3| (QUOTE (-1048)))) (|HasCategory| |#3| (QUOTE (-25))) (-2232 (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#3| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-138))) (|HasCategory| |#3| (QUOTE (-173))) (|HasCategory| |#3| (QUOTE (-226))) (|HasCategory| |#3| (QUOTE (-366))) (|HasCategory| |#3| (QUOTE (-371))) (|HasCategory| |#3| (QUOTE (-717))) (|HasCategory| |#3| (QUOTE (-789))) (|HasCategory| |#3| (QUOTE (-841))) (|HasCategory| |#3| (QUOTE (-1048))) (|HasCategory| |#3| (QUOTE (-1091)))) (-2232 (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#3| (LIST 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(LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-25)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-138)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-173)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-226)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-366)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-371)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-717)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-789)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-841)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-1048)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#3| (QUOTE (-1091))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-569))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (LIST (QUOTE -896) (QUOTE (-1163))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-25)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-138)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-173)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-226)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-366)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-371)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-717)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-789)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-841)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1048)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -304) (|devaluate| |#3|))) (|HasCategory| |#3| (QUOTE (-1091)))))) 
+(-1105 R |x|) 
 ((|constructor| (NIL "This package produces functions for counting etc. real roots of univariate polynomials in \\spad{x} over \\spad{R},{} which must be an OrderedIntegralDomain")) (|countRealRootsMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRootsMultiple(p)} says how many real roots \\spad{p} has,{} counted with multiplicity")) (|SturmHabichtMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtMultiple(p1,{}p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with \\spad{p2>0} and \\spad{c_}{-} is the number of real roots of \\spad{p1} with \\spad{p2<0}. If \\spad{p2=1} what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,{}p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with \\spad{p2>0} and \\spad{c_}{-} is the number of real roots of \\spad{p1} with \\spad{p2<0}. If \\spad{p2=1} what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,{}p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,{}p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,{}p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-453)))) 
-(-1105 R -1478) 
+((|HasCategory| |#1| (QUOTE (-454)))) 
+(-1106 R -1564) 
 ((|constructor| (NIL "This package provides functions to determine the sign of an elementary function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") |#2| (|Symbol|) |#2| (|String|)) "\\spad{sign(f,{} x,{} a,{} s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from below if \\spad{s} is \"left\",{} or above if \\spad{s} is \"right\".") (((|Union| (|Integer|) "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|)) "\\spad{sign(f,{} x,{} a)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") |#2|) "\\spad{sign(f)} returns the sign of \\spad{f} if it is constant everywhere."))) 
 NIL 
 NIL 
-(-1106 R) 
+(-1107 R) 
 ((|constructor| (NIL "Find the sign of a rational function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|)) (|String|)) "\\spad{sign(f,{} x,{} a,{} s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from the left (below) if \\spad{s} is the string \\spad{\"left\"},{} or from the right (above) if \\spad{s} is the string \\spad{\"right\"}.") (((|Union| (|Integer|) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|OrderedCompletion| (|Fraction| (|Polynomial| |#1|)))) "\\spad{sign(f,{} x,{} a)} returns the sign of \\spad{f} as \\spad{x} approaches \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{sign f} returns the sign of \\spad{f} if it is constant everywhere."))) 
 NIL 
 NIL 
-(-1107) 
+(-1108) 
 ((|constructor| (NIL "Package to allow simplify to be called on AlgebraicNumbers by converting to EXPR(INT)")) (|simplify| (((|Expression| (|Integer|)) (|AlgebraicNumber|)) "\\spad{simplify(an)} applies simplifications to \\spad{an}"))) 
 NIL 
 NIL 
-(-1108) 
+(-1109) 
 ((|constructor| (NIL "SingleInteger is intended to support machine integer arithmetic.")) (|Or| (($ $ $) "\\spad{Or(n,{}m)} returns the bit-by-bit logical or of the single integers \\spad{n} and \\spad{m}.")) (|And| (($ $ $) "\\spad{And(n,{}m)} returns the bit-by-bit logical and of the single integers \\spad{n} and \\spad{m}.")) (|Not| (($ $) "\\spad{Not(n)} returns the bit-by-bit logical not of the single integer \\spad{n}.")) (|xor| (($ $ $) "\\spad{xor(n,{}m)} returns the bit-by-bit logical xor of the single integers \\spad{n} and \\spad{m}.")) (|\\/| (($ $ $) "\\spad{n} \\spad{\\/} \\spad{m} returns the bit-by-bit logical or of the single integers \\spad{n} and \\spad{m}.")) (|/\\| (($ $ $) "\\spad{n} \\spad{/\\} \\spad{m} returns the bit-by-bit logical and of the single integers \\spad{n} and \\spad{m}.")) (~ (($ $) "\\spad{~ n} returns the bit-by-bit logical not of the single integer \\spad{n}.")) (|not| (($ $) "\\spad{not(n)} returns the bit-by-bit logical not of the single integer \\spad{n}.")) (|min| (($) "\\spad{min()} returns the smallest single integer.")) (|max| (($) "\\spad{max()} returns the largest single integer.")) (|noetherian| ((|attribute|) "\\spad{noetherian} all ideals are finitely generated (in fact principal).")) (|canonicalsClosed| ((|attribute|) "\\spad{canonicalClosed} means two positives multiply to give positive.")) (|canonical| ((|attribute|) "\\spad{canonical} means that mathematical equality is implied by data structure equality."))) 
-((-4509 . T) (-4513 . T) (-4508 . T) (-4519 . T) (-4520 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4523 . T) (-4527 . T) (-4522 . T) (-4533 . T) (-4534 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1109 S) 
+(-1110 S) 
 ((|constructor| (NIL "A stack is a bag where the last item inserted is the first item extracted.")) (|depth| (((|NonNegativeInteger|) $) "\\indented{1}{depth(\\spad{s}) returns the number of elements of stack \\spad{s}.} \\indented{1}{Note that \\axiom{depth(\\spad{s}) = \\spad{#s}}.} \\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} depth a")) (|top| ((|#1| $) "\\indented{1}{top(\\spad{s}) returns the top element \\spad{x} from \\spad{s}; \\spad{s} remains unchanged.} \\indented{1}{Note that Use \\axiom{pop!(\\spad{s})} to obtain \\spad{x} and remove it from \\spad{s}.} \\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} top a")) (|pop!| ((|#1| $) "\\indented{1}{pop!(\\spad{s}) returns the top element \\spad{x},{} destructively removing \\spad{x} from \\spad{s}.} \\indented{1}{Note that Use \\axiom{top(\\spad{s})} to obtain \\spad{x} without removing it from \\spad{s}.} \\indented{1}{Error: if \\spad{s} is empty.} \\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} pop! a \\spad{X} a")) (|push!| ((|#1| |#1| $) "\\indented{1}{push!(\\spad{x},{}\\spad{s}) pushes \\spad{x} onto stack \\spad{s},{} \\spadignore{i.e.} destructively changing \\spad{s}} \\indented{1}{so as to have a new first (top) element \\spad{x}.} \\indented{1}{Afterwards,{} pop!(\\spad{s}) produces \\spad{x} and pop!(\\spad{s}) produces the original \\spad{s}.} \\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} push! a \\spad{X} a"))) 
-((-4521 . T) (-4522 . T) (-3973 . T)) 
+((-4535 . T) (-4536 . T) (-2982 . T)) 
 NIL 
-(-1110 S |ndim| R |Row| |Col|) 
+(-1111 S |ndim| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if the matrix is not invertible.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m},{} if that matrix is invertible and returns \"failed\" otherwise.")) (|minordet| ((|#3| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors.")) (|determinant| ((|#3| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.")) (* ((|#4| |#4| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#5| $ |#5|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.")) (|diagonalProduct| ((|#3| $) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}.")) (|trace| ((|#3| $) "\\spad{trace(m)} returns the trace of the matrix \\spad{m}. this is the sum of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonal| ((|#4| $) "\\spad{diagonal(m)} returns a row consisting of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonalMatrix| (($ (|List| |#3|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ |#3|) "\\spad{scalarMatrix(r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere."))) 
 NIL 
-((|HasCategory| |#3| (QUOTE (-365))) (|HasAttribute| |#3| (QUOTE (-4523 "*"))) (|HasCategory| |#3| (QUOTE (-172)))) 
-(-1111 |ndim| R |Row| |Col|) 
+((|HasCategory| |#3| (QUOTE (-366))) (|HasAttribute| |#3| (QUOTE (-4537 "*"))) (|HasCategory| |#3| (QUOTE (-173)))) 
+(-1112 |ndim| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if the matrix is not invertible.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m},{} if that matrix is invertible and returns \"failed\" otherwise.")) (|minordet| ((|#2| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors.")) (|determinant| ((|#2| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.")) (* ((|#3| |#3| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#4| $ |#4|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.")) (|diagonalProduct| ((|#2| $) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}.")) (|trace| ((|#2| $) "\\spad{trace(m)} returns the trace of the matrix \\spad{m}. this is the sum of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonal| ((|#3| $) "\\spad{diagonal(m)} returns a row consisting of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonalMatrix| (($ (|List| |#2|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ |#2|) "\\spad{scalarMatrix(r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere."))) 
-((-3973 . T) (-4521 . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-2982 . T) (-4535 . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1112 R |Row| |Col| M) 
+(-1113 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{SmithNormalForm} is a package which provides some standard canonical forms for matrices.")) (|diophantineSystem| (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{diophantineSystem(A,{}B)} returns a particular integer solution and an integer basis of the equation \\spad{AX = B}.")) (|completeSmith| (((|Record| (|:| |Smith| |#4|) (|:| |leftEqMat| |#4|) (|:| |rightEqMat| |#4|)) |#4|) "\\spad{completeSmith} returns a record that contains the Smith normal form \\spad{H} of the matrix and the left and right equivalence matrices \\spad{U} and \\spad{V} such that U*m*v = \\spad{H}")) (|smith| ((|#4| |#4|) "\\spad{smith(m)} returns the Smith Normal form of the matrix \\spad{m}.")) (|completeHermite| (((|Record| (|:| |Hermite| |#4|) (|:| |eqMat| |#4|)) |#4|) "\\spad{completeHermite} returns a record that contains the Hermite normal form \\spad{H} of the matrix and the equivalence matrix \\spad{U} such that U*m = \\spad{H}")) (|hermite| ((|#4| |#4|) "\\spad{hermite(m)} returns the Hermite normal form of the matrix \\spad{m}."))) 
 NIL 
 NIL 
-(-1113 R |VarSet|) 
+(-1114 R |VarSet|) 
 ((|constructor| (NIL "This type is the basic representation of sparse recursive multivariate polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-904))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-381)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-381))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -881) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -881) (QUOTE (-568))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-381)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (QUOTE (-568)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541))))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasAttribute| |#1| (QUOTE -4519)) (|HasCategory| |#1| (QUOTE (-453))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (|HasCategory| |#1| (QUOTE (-453))) (|HasCategory| |#1| (QUOTE (-904)))) (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (-2199 (-12 (|HasCategory| $ (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-904)))) (|HasCategory| |#1| (QUOTE (-148))))) 
-(-1114 |Coef| |Var| SMP) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-382)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-382))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-569))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-382)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (QUOTE (-569)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasAttribute| |#1| (QUOTE -4533)) (|HasCategory| |#1| (QUOTE (-454))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (|HasCategory| |#1| (QUOTE (-454))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-1115 |Coef| |Var| SMP) 
 ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,{}v,{}c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,{}v,{}c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,{}b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\indented{1}{\\spad{coefficient(s,{} n)} gives the terms of total degree \\spad{n}.} \\blankline \\spad{X} xts:=x::TaylorSeries Fraction Integer \\spad{X} t1:=sin(\\spad{xts}) \\spad{X} coefficient(\\spad{t1},{}3)"))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-558))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-1115 R E V P) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-559))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-1116 R E V P) 
 ((|constructor| (NIL "The category of square-free and normalized triangular sets. Thus,{} up to the primitivity axiom of [1],{} these sets are Lazard triangular sets."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1116 UP -1478) 
+(-1117 UP -1564) 
 ((|constructor| (NIL "This package factors the formulas out of the general solve code,{} allowing their recursive use over different domains. Care is taken to introduce few radicals so that radical extension domains can more easily simplify the results.")) (|aQuartic| ((|#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{aQuartic(f,{}g,{}h,{}i,{}k)} \\undocumented")) (|aCubic| ((|#2| |#2| |#2| |#2| |#2|) "\\spad{aCubic(f,{}g,{}h,{}j)} \\undocumented")) (|aQuadratic| ((|#2| |#2| |#2| |#2|) "\\spad{aQuadratic(f,{}g,{}h)} \\undocumented")) (|aLinear| ((|#2| |#2| |#2|) "\\spad{aLinear(f,{}g)} \\undocumented")) (|quartic| (((|List| |#2|) |#2| |#2| |#2| |#2| |#2|) "\\spad{quartic(f,{}g,{}h,{}i,{}j)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quartic(u)} \\undocumented")) (|cubic| (((|List| |#2|) |#2| |#2| |#2| |#2|) "\\spad{cubic(f,{}g,{}h,{}i)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{cubic(u)} \\undocumented")) (|quadratic| (((|List| |#2|) |#2| |#2| |#2|) "\\spad{quadratic(f,{}g,{}h)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quadratic(u)} \\undocumented")) (|linear| (((|List| |#2|) |#2| |#2|) "\\spad{linear(f,{}g)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{linear(u)} \\undocumented")) (|mapSolve| (((|Record| (|:| |solns| (|List| |#2|)) (|:| |maps| (|List| (|Record| (|:| |arg| |#2|) (|:| |res| |#2|))))) |#1| (|Mapping| |#2| |#2|)) "\\spad{mapSolve(u,{}f)} \\undocumented")) (|particularSolution| ((|#2| |#1|) "\\spad{particularSolution(u)} \\undocumented")) (|solve| (((|List| |#2|) |#1|) "\\spad{solve(u)} \\undocumented"))) 
 NIL 
 NIL 
-(-1117 R) 
+(-1118 R) 
 ((|constructor| (NIL "This package tries to find solutions expressed in terms of radicals for systems of equations of rational functions with coefficients in an integral domain \\spad{R}.")) (|contractSolve| (((|SuchThat| (|List| (|Expression| |#1|)) (|List| (|Equation| (|Expression| |#1|)))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\indented{1}{contractSolve(\\spad{rf},{}\\spad{x}) finds the solutions expressed in terms of} \\indented{1}{radicals of the equation \\spad{rf} = 0 with respect to the symbol \\spad{x},{}} \\indented{1}{where \\spad{rf} is a rational function. The result contains\\space{2}new} \\indented{1}{symbols for common subexpressions in order to reduce the} \\indented{1}{size of the output.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} contractSolve(\\spad{b},{}\\spad{x})") (((|SuchThat| (|List| (|Expression| |#1|)) (|List| (|Equation| (|Expression| |#1|)))) (|Equation| (|Fraction| (|Polynomial| |#1|))) (|Symbol|)) "\\indented{1}{contractSolve(eq,{}\\spad{x}) finds the solutions expressed in terms of} \\indented{1}{radicals of the equation of rational functions eq} \\indented{1}{with respect to the symbol \\spad{x}.\\space{2}The result contains new} \\indented{1}{symbols for common subexpressions in order to reduce the} \\indented{1}{size of the output.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} contractSolve(\\spad{b=0},{}\\spad{x})")) (|radicalRoots| (((|List| (|List| (|Expression| |#1|))) (|List| (|Fraction| (|Polynomial| |#1|))) (|List| (|Symbol|))) "\\indented{1}{radicalRoots(\\spad{lrf},{}lvar) finds the roots expressed in terms of} \\indented{1}{radicals of the list of rational functions \\spad{lrf}} \\indented{1}{with respect to the list of symbols lvar.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} c:Fraction(Polynomial(Integer))\\spad{:=}(\\spad{y^2+4})/(\\spad{y+1}) \\spad{X} radicalRoots([\\spad{b},{}\\spad{c}],{}[\\spad{x},{}\\spad{y}])") (((|List| (|Expression| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\indented{1}{radicalRoots(\\spad{rf},{}\\spad{x}) finds the roots expressed in terms of radicals} \\indented{1}{of the rational function \\spad{rf} with respect to the symbol \\spad{x}.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} radicalRoots(\\spad{b},{}\\spad{x})")) (|radicalSolve| (((|List| (|List| (|Equation| (|Expression| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| |#1|))))) "\\indented{1}{radicalSolve(leq) finds the solutions expressed in terms of} \\indented{1}{radicals of the system of equations of rational functions leq} \\indented{1}{with respect to the unique symbol \\spad{x} appearing in leq.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} c:Fraction(Polynomial(Integer))\\spad{:=}(\\spad{y^2+4})/(\\spad{y+1}) \\spad{X} radicalSolve([\\spad{b=0},{}\\spad{c=0}])") (((|List| (|List| (|Equation| (|Expression| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| |#1|)))) (|List| (|Symbol|))) "\\indented{1}{radicalSolve(leq,{}lvar) finds the solutions expressed in terms of} \\indented{1}{radicals of the system of equations of rational functions leq} \\indented{1}{with respect to the list of symbols lvar.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} c:Fraction(Polynomial(Integer))\\spad{:=}(\\spad{y^2+4})/(\\spad{y+1}) \\spad{X} radicalSolve([\\spad{b=0},{}\\spad{c=0}],{}[\\spad{x},{}\\spad{y}])") (((|List| (|List| (|Equation| (|Expression| |#1|)))) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\indented{1}{radicalSolve(\\spad{lrf}) finds the solutions expressed in terms of} \\indented{1}{radicals of the system of equations \\spad{lrf} = 0,{} where \\spad{lrf} is a} \\indented{1}{system of univariate rational functions.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} c:Fraction(Polynomial(Integer))\\spad{:=}(\\spad{y^2+4})/(\\spad{y+1}) \\spad{X} radicalSolve([\\spad{b},{}\\spad{c}])") (((|List| (|List| (|Equation| (|Expression| |#1|)))) (|List| (|Fraction| (|Polynomial| |#1|))) (|List| (|Symbol|))) "\\indented{1}{radicalSolve(\\spad{lrf},{}lvar) finds the solutions expressed in terms of} \\indented{1}{radicals of the system of equations \\spad{lrf} = 0 with} \\indented{1}{respect to the list of symbols lvar,{}} \\indented{1}{where \\spad{lrf} is a list of rational functions.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} c:Fraction(Polynomial(Integer))\\spad{:=}(\\spad{y^2+4})/(\\spad{y+1}) \\spad{X} radicalSolve([\\spad{b},{}\\spad{c}],{}[\\spad{x},{}\\spad{y}])") (((|List| (|Equation| (|Expression| |#1|))) (|Equation| (|Fraction| (|Polynomial| |#1|)))) "\\indented{1}{radicalSolve(eq) finds the solutions expressed in terms of} \\indented{1}{radicals of the equation of rational functions eq} \\indented{1}{with respect to the unique symbol \\spad{x} appearing in eq.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} radicalSolve(\\spad{b=0})") (((|List| (|Equation| (|Expression| |#1|))) (|Equation| (|Fraction| (|Polynomial| |#1|))) (|Symbol|)) "\\indented{1}{radicalSolve(eq,{}\\spad{x}) finds the solutions expressed in terms of} \\indented{1}{radicals of the equation of rational functions eq} \\indented{1}{with respect to the symbol \\spad{x}.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} radicalSolve(\\spad{b=0},{}\\spad{x})") (((|List| (|Equation| (|Expression| |#1|))) (|Fraction| (|Polynomial| |#1|))) "\\indented{1}{radicalSolve(\\spad{rf}) finds the solutions expressed in terms of} \\indented{1}{radicals of the equation \\spad{rf} = 0,{} where \\spad{rf} is a} \\indented{1}{univariate rational function.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} radicalSolve(\\spad{b})") (((|List| (|Equation| (|Expression| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\indented{1}{radicalSolve(\\spad{rf},{}\\spad{x}) finds the solutions expressed in terms of} \\indented{1}{radicals of the equation \\spad{rf} = 0 with respect to the symbol \\spad{x},{}} \\indented{1}{where \\spad{rf} is a rational function.} \\blankline \\spad{X} b:Fraction(Polynomial(Integer))\\spad{:=}(3*x^3+7)/(5*x^2-13) \\spad{X} radicalSolve(\\spad{b},{}\\spad{x})"))) 
 NIL 
 NIL 
-(-1118 R) 
+(-1119 R) 
 ((|constructor| (NIL "This package finds the function \\spad{func3} where \\spad{func1} and \\spad{func2} are given and \\spad{func1} = \\spad{func3}(\\spad{func2}) . If there is no solution then function \\spad{func1} will be returned. An example would be \\spad{func1:= 8*X**3+32*X**2-14*X ::EXPR INT} and \\spad{func2:=2*X ::EXPR INT} convert them via univariate to FRAC SUP EXPR INT and then the solution is \\spad{func3:=X**3+X**2-X} of type FRAC SUP EXPR INT")) (|unvectorise| (((|Fraction| (|SparseUnivariatePolynomial| (|Expression| |#1|))) (|Vector| (|Expression| |#1|)) (|Fraction| (|SparseUnivariatePolynomial| (|Expression| |#1|))) (|Integer|)) "\\spad{unvectorise(vect,{} var,{} n)} returns \\spad{vect(1) + vect(2)*var + ... + vect(n+1)*var**(n)} where \\spad{vect} is the vector of the coefficients of the polynomail ,{} \\spad{var} the new variable and \\spad{n} the degree.")) (|decomposeFunc| (((|Fraction| (|SparseUnivariatePolynomial| (|Expression| |#1|))) (|Fraction| (|SparseUnivariatePolynomial| (|Expression| |#1|))) (|Fraction| (|SparseUnivariatePolynomial| (|Expression| |#1|))) (|Fraction| (|SparseUnivariatePolynomial| (|Expression| |#1|)))) "\\spad{decomposeFunc(func1,{} func2,{} newvar)} returns a function \\spad{func3} where \\spad{func1} = \\spad{func3}(\\spad{func2}) and expresses it in the new variable newvar. If there is no solution then \\spad{func1} will be returned."))) 
 NIL 
 NIL 
-(-1119 R) 
+(-1120 R) 
 ((|constructor| (NIL "This package tries to find solutions of equations of type Expression(\\spad{R}). This means expressions involving transcendental,{} exponential,{} logarithmic and nthRoot functions. After trying to transform different kernels to one kernel by applying several rules,{} it calls zerosOf for the SparseUnivariatePolynomial in the remaining kernel. For example the expression \\spad{sin(x)*cos(x)-2} will be transformed to \\spad{-2 tan(x/2)**4 -2 tan(x/2)**3 -4 tan(x/2)**2 +2 tan(x/2) -2} by using the function normalize and then to \\spad{-2 tan(x)**2 + tan(x) -2} with help of subsTan. This function tries to express the given function in terms of \\spad{tan(x/2)} to express in terms of \\spad{tan(x)} . Other examples are the expressions \\spad{sqrt(x+1)+sqrt(x+7)+1} or \\spad{sqrt(sin(x))+1} .")) (|solve| (((|List| (|List| (|Equation| (|Expression| |#1|)))) (|List| (|Equation| (|Expression| |#1|))) (|List| (|Symbol|))) "\\spad{solve(leqs,{} lvar)} returns a list of solutions to the list of equations \\spad{leqs} with respect to the list of symbols lvar.") (((|List| (|Equation| (|Expression| |#1|))) (|Expression| |#1|) (|Symbol|)) "\\indented{1}{solve(expr,{}\\spad{x}) finds the solutions of the equation expr = 0} \\indented{1}{with respect to the symbol \\spad{x} where expr is a function} \\indented{1}{of type Expression(\\spad{R}).} \\blankline \\spad{X} solve(1/2*v*v*cos(theta+phi)*cos(theta+phi)+g*l*cos(phi)=g*l,{}phi) \\spad{X} definingPolynomial \\%\\spad{phi0} \\spad{X} definingPolynomial \\%\\spad{phi1}") (((|List| (|Equation| (|Expression| |#1|))) (|Equation| (|Expression| |#1|)) (|Symbol|)) "\\spad{solve(eq,{}x)} finds the solutions of the equation \\spad{eq} where \\spad{eq} is an equation of functions of type Expression(\\spad{R}) with respect to the symbol \\spad{x}.") (((|List| (|Equation| (|Expression| |#1|))) (|Equation| (|Expression| |#1|))) "\\spad{solve(eq)} finds the solutions of the equation \\spad{eq} where \\spad{eq} is an equation of functions of type Expression(\\spad{R}) with respect to the unique symbol \\spad{x} appearing in \\spad{eq}.") (((|List| (|Equation| (|Expression| |#1|))) (|Expression| |#1|)) "\\spad{solve(expr)} finds the solutions of the equation \\spad{expr} = 0 where \\spad{expr} is a function of type Expression(\\spad{R}) with respect to the unique symbol \\spad{x} appearing in eq."))) 
 NIL 
 NIL 
-(-1120 S A) 
+(-1121 S A) 
 ((|constructor| (NIL "This package exports sorting algorithnms")) (|insertionSort!| ((|#2| |#2|) "\\spad{insertionSort! }\\undocumented") ((|#2| |#2| (|Mapping| (|Boolean|) |#1| |#1|)) "\\spad{insertionSort!(a,{}f)} \\undocumented")) (|bubbleSort!| ((|#2| |#2|) "\\spad{bubbleSort!(a)} \\undocumented") ((|#2| |#2| (|Mapping| (|Boolean|) |#1| |#1|)) "\\spad{bubbleSort!(a,{}f)} \\undocumented"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-842)))) 
-(-1121 R) 
+((|HasCategory| |#1| (QUOTE (-843)))) 
+(-1122 R) 
 ((|constructor| (NIL "The domain ThreeSpace is used for creating three dimensional objects using functions for defining points,{} curves,{} polygons,{} constructs and the subspaces containing them."))) 
 NIL 
 NIL 
-(-1122 R) 
+(-1123 R) 
 ((|constructor| (NIL "The category ThreeSpaceCategory is used for creating three dimensional objects using functions for defining points,{} curves,{} polygons,{} constructs and the subspaces containing them.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(s)} returns the \\spadtype{ThreeSpace} \\spad{s} to Output format.")) (|subspace| (((|SubSpace| 3 |#1|) $) "\\spad{subspace(s)} returns the \\spadtype{SubSpace} which holds all the point information in the \\spadtype{ThreeSpace},{} \\spad{s}.")) (|check| (($ $) "\\spad{check(s)} returns lllpt,{} list of lists of lists of point information about the \\spadtype{ThreeSpace} \\spad{s}.")) (|objects| (((|Record| (|:| |points| (|NonNegativeInteger|)) (|:| |curves| (|NonNegativeInteger|)) (|:| |polygons| (|NonNegativeInteger|)) (|:| |constructs| (|NonNegativeInteger|))) $) "\\spad{objects(s)} returns the \\spadtype{ThreeSpace},{} \\spad{s},{} in the form of a 3D object record containing information on the number of points,{} curves,{} polygons and constructs comprising the \\spadtype{ThreeSpace}..")) (|lprop| (((|List| (|SubSpaceComponentProperty|)) $) "\\spad{lprop(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a list of subspace component properties,{} and if so,{} returns the list; An error is signaled otherwise.")) (|llprop| (((|List| (|List| (|SubSpaceComponentProperty|))) $) "\\spad{llprop(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a list of curves which are lists of the subspace component properties of the curves,{} and if so,{} returns the list of lists; An error is signaled otherwise.")) (|lllp| (((|List| (|List| (|List| (|Point| |#1|)))) $) "\\spad{lllp(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a list of components,{} which are lists of curves,{} which are lists of points,{} and if so,{} returns the list of lists of lists; An error is signaled otherwise.")) (|lllip| (((|List| (|List| (|List| (|NonNegativeInteger|)))) $) "\\spad{lllip(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a list of components,{} which are lists of curves,{} which are lists of indices to points,{} and if so,{} returns the list of lists of lists; An error is signaled otherwise.")) (|lp| (((|List| (|Point| |#1|)) $) "\\spad{lp(s)} returns the list of points component which the \\spadtype{ThreeSpace},{} \\spad{s},{} contains; these points are used by reference,{} \\spadignore{i.e.} the component holds indices referring to the points rather than the points themselves. This allows for sharing of the points.")) (|mesh?| (((|Boolean|) $) "\\spad{mesh?(s)} returns \\spad{true} if the \\spadtype{ThreeSpace} \\spad{s} is composed of one component,{} a mesh comprising a list of curves which are lists of points,{} or returns \\spad{false} if otherwise")) (|mesh| (((|List| (|List| (|Point| |#1|))) $) "\\spad{mesh(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a single surface component defined by a list curves which contain lists of points,{} and if so,{} returns the list of lists of points; An error is signaled otherwise.") (($ (|List| (|List| (|Point| |#1|))) (|Boolean|) (|Boolean|)) "\\spad{mesh([[p0],{}[p1],{}...,{}[pn]],{} close1,{} close2)} creates a surface defined over a list of curves,{} \\spad{p0} through \\spad{pn},{} which are lists of points; the booleans \\spad{close1} and \\spad{close2} indicate how the surface is to be closed: \\spad{close1} set to \\spad{true} means that each individual list (a curve) is to be closed (that is,{} the last point of the list is to be connected to the first point); \\spad{close2} set to \\spad{true} means that the boundary at one end of the surface is to be connected to the boundary at the other end (the boundaries are defined as the first list of points (curve) and the last list of points (curve)); the \\spadtype{ThreeSpace} containing this surface is returned.") (($ (|List| (|List| (|Point| |#1|)))) "\\spad{mesh([[p0],{}[p1],{}...,{}[pn]])} creates a surface defined by a list of curves which are lists,{} \\spad{p0} through \\spad{pn},{} of points,{} and returns a \\spadtype{ThreeSpace} whose component is the surface.") (($ $ (|List| (|List| (|List| |#1|))) (|Boolean|) (|Boolean|)) "mesh(\\spad{s},{}[ [[\\spad{r10}]...,{}[\\spad{r1m}]],{}[[\\spad{r20}]...,{}[\\spad{r2m}]],{}...,{}[[\\spad{rn0}]...,{}[\\spad{rnm}]] ],{} \\indented{5}{\\spad{close1},{} \\spad{close2})} adds a surface component to the \\spadtype{ThreeSpace} \\spad{s},{} which is defined over a rectangular domain of size \\spad{WxH} where \\spad{W} is the number of lists of points from the domain \\spad{PointDomain(R)} and \\spad{H} is the number of elements in each of those lists; the booleans \\spad{close1} and \\spad{close2} indicate how the surface is to be closed: if \\spad{close1} is \\spad{true} this means that each individual list (a curve) is to be closed (\\spadignore{i.e.} the last point of the list is to be connected to the first point); if \\spad{close2} is \\spad{true},{} this means that the boundary at one end of the surface is to be connected to the boundary at the other end (the boundaries are defined as the first list of points (curve) and the last list of points (curve)).") (($ $ (|List| (|List| (|Point| |#1|))) (|Boolean|) (|Boolean|)) "\\spad{mesh(s,{}[[p0],{}[p1],{}...,{}[pn]],{} close1,{} close2)} adds a surface component to the \\spadtype{ThreeSpace},{} which is defined over a list of curves,{} in which each of these curves is a list of points. The boolean arguments \\spad{close1} and \\spad{close2} indicate how the surface is to be closed. Argument \\spad{close1} equal \\spad{true} means that each individual list (a curve) is to be closed,{} \\spadignore{i.e.} the last point of the list is to be connected to the first point. Argument \\spad{close2} equal \\spad{true} means that the boundary at one end of the surface is to be connected to the boundary at the other end,{} \\spadignore{i.e.} the boundaries are defined as the first list of points (curve) and the last list of points (curve).") (($ $ (|List| (|List| (|List| |#1|))) (|List| (|SubSpaceComponentProperty|)) (|SubSpaceComponentProperty|)) "mesh(\\spad{s},{}[ [[\\spad{r10}]...,{}[\\spad{r1m}]],{}[[\\spad{r20}]...,{}[\\spad{r2m}]],{}...,{}[[\\spad{rn0}]...,{}[\\spad{rnm}]] ],{} \\indented{7}{[props],{} prop)} adds a surface component to the \\spadtype{ThreeSpace} \\spad{s},{} which is defined over a rectangular domain of size \\spad{WxH} where \\spad{W} is the number of lists of points from the domain \\spad{PointDomain(R)} and \\spad{H} is the number of elements in each of those lists; lprops is the list of the subspace component properties for each curve list,{} and prop is the subspace component property by which the points are defined.") (($ $ (|List| (|List| (|Point| |#1|))) (|List| (|SubSpaceComponentProperty|)) (|SubSpaceComponentProperty|)) "\\spad{mesh(s,{}[[p0],{}[p1],{}...,{}[pn]],{}[props],{}prop)} adds a surface component,{} defined over a list curves which contains lists of points,{} to the \\spadtype{ThreeSpace} \\spad{s}; props is a list which contains the subspace component properties for each surface parameter,{} and \\spad{prop} is the subspace component property by which the points are defined.")) (|polygon?| (((|Boolean|) $) "\\spad{polygon?(s)} returns \\spad{true} if the \\spadtype{ThreeSpace} \\spad{s} contains a single polygon component,{} or \\spad{false} otherwise.")) (|polygon| (((|List| (|Point| |#1|)) $) "\\spad{polygon(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a single polygon component defined by a list of points,{} and if so,{} returns the list of points; An error is signaled otherwise.") (($ (|List| (|Point| |#1|))) "\\spad{polygon([p0,{}p1,{}...,{}pn])} creates a polygon defined by a list of points,{} \\spad{p0} through \\spad{pn},{} and returns a \\spadtype{ThreeSpace} whose component is the polygon.") (($ $ (|List| (|List| |#1|))) "\\spad{polygon(s,{}[[r0],{}[r1],{}...,{}[rn]])} adds a polygon component defined by a list of points \\spad{r0} through \\spad{rn},{} which are lists of elements from the domain \\spad{PointDomain(m,{}R)} to the \\spadtype{ThreeSpace} \\spad{s},{} where \\spad{m} is the dimension of the points and \\spad{R} is the \\spadtype{Ring} over which the points are defined.") (($ $ (|List| (|Point| |#1|))) "\\spad{polygon(s,{}[p0,{}p1,{}...,{}pn])} adds a polygon component defined by a list of points,{} \\spad{p0} throught \\spad{pn},{} to the \\spadtype{ThreeSpace} \\spad{s}.")) (|closedCurve?| (((|Boolean|) $) "\\spad{closedCurve?(s)} returns \\spad{true} if the \\spadtype{ThreeSpace} \\spad{s} contains a single closed curve component,{} \\spadignore{i.e.} the first element of the curve is also the last element,{} or \\spad{false} otherwise.")) (|closedCurve| (((|List| (|Point| |#1|)) $) "\\spad{closedCurve(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a single closed curve component defined by a list of points in which the first point is also the last point,{} all of which are from the domain \\spad{PointDomain(m,{}R)} and if so,{} returns the list of points. An error is signaled otherwise.") (($ (|List| (|Point| |#1|))) "\\spad{closedCurve(lp)} sets a list of points defined by the first element of \\spad{lp} through the last element of \\spad{lp} and back to the first elelment again and returns a \\spadtype{ThreeSpace} whose component is the closed curve defined by \\spad{lp}.") (($ $ (|List| (|List| |#1|))) "\\spad{closedCurve(s,{}[[lr0],{}[lr1],{}...,{}[lrn],{}[lr0]])} adds a closed curve component defined by a list of points \\spad{lr0} through \\spad{lrn},{} which are lists of elements from the domain \\spad{PointDomain(m,{}R)},{} where \\spad{R} is the \\spadtype{Ring} over which the point elements are defined and \\spad{m} is the dimension of the points,{} in which the last element of the list of points contains a copy of the first element list,{} \\spad{lr0}. The closed curve is added to the \\spadtype{ThreeSpace},{} \\spad{s}.") (($ $ (|List| (|Point| |#1|))) "\\spad{closedCurve(s,{}[p0,{}p1,{}...,{}pn,{}p0])} adds a closed curve component which is a list of points defined by the first element \\spad{p0} through the last element \\spad{pn} and back to the first element \\spad{p0} again,{} to the \\spadtype{ThreeSpace} \\spad{s}.")) (|curve?| (((|Boolean|) $) "\\spad{curve?(s)} queries whether the \\spadtype{ThreeSpace},{} \\spad{s},{} is a curve,{} \\spadignore{i.e.} has one component,{} a list of list of points,{} and returns \\spad{true} if it is,{} or \\spad{false} otherwise.")) (|curve| (((|List| (|Point| |#1|)) $) "\\spad{curve(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a single curve defined by a list of points and if so,{} returns the curve,{} \\spadignore{i.e.} list of points. An error is signaled otherwise.") (($ (|List| (|Point| |#1|))) "\\spad{curve([p0,{}p1,{}p2,{}...,{}pn])} creates a space curve defined by the list of points \\spad{p0} through \\spad{pn},{} and returns the \\spadtype{ThreeSpace} whose component is the curve.") (($ $ (|List| (|List| |#1|))) "\\spad{curve(s,{}[[p0],{}[p1],{}...,{}[pn]])} adds a space curve which is a list of points \\spad{p0} through \\spad{pn} defined by lists of elements from the domain \\spad{PointDomain(m,{}R)},{} where \\spad{R} is the \\spadtype{Ring} over which the point elements are defined and \\spad{m} is the dimension of the points,{} to the \\spadtype{ThreeSpace} \\spad{s}.") (($ $ (|List| (|Point| |#1|))) "\\spad{curve(s,{}[p0,{}p1,{}...,{}pn])} adds a space curve component defined by a list of points \\spad{p0} through \\spad{pn},{} to the \\spadtype{ThreeSpace} \\spad{s}.")) (|point?| (((|Boolean|) $) "\\spad{point?(s)} queries whether the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of a single component which is a point and returns the boolean result.")) (|point| (((|Point| |#1|) $) "\\spad{point(s)} checks to see if the \\spadtype{ThreeSpace},{} \\spad{s},{} is composed of only a single point and if so,{} returns the point. An error is signaled otherwise.") (($ (|Point| |#1|)) "\\spad{point(p)} returns a \\spadtype{ThreeSpace} object which is composed of one component,{} the point \\spad{p}.") (($ $ (|NonNegativeInteger|)) "\\spad{point(s,{}i)} adds a point component which is placed into a component list of the \\spadtype{ThreeSpace},{} \\spad{s},{} at the index given by \\spad{i}.") (($ $ (|List| |#1|)) "\\spad{point(s,{}[x,{}y,{}z])} adds a point component defined by a list of elements which are from the \\spad{PointDomain(R)} to the \\spadtype{ThreeSpace},{} \\spad{s},{} where \\spad{R} is the \\spadtype{Ring} over which the point elements are defined.") (($ $ (|Point| |#1|)) "\\spad{point(s,{}p)} adds a point component defined by the point,{} \\spad{p},{} specified as a list from \\spad{List(R)},{} to the \\spadtype{ThreeSpace},{} \\spad{s},{} where \\spad{R} is the \\spadtype{Ring} over which the point is defined.")) (|modifyPointData| (($ $ (|NonNegativeInteger|) (|Point| |#1|)) "\\spad{modifyPointData(s,{}i,{}p)} changes the point at the indexed location \\spad{i} in the \\spadtype{ThreeSpace},{} \\spad{s},{} to that of point \\spad{p}. This is useful for making changes to a point which has been transformed.")) (|enterPointData| (((|NonNegativeInteger|) $ (|List| (|Point| |#1|))) "\\spad{enterPointData(s,{}[p0,{}p1,{}...,{}pn])} adds a list of points from \\spad{p0} through \\spad{pn} to the \\spadtype{ThreeSpace},{} \\spad{s},{} and returns the index,{} to the starting point of the list.")) (|copy| (($ $) "\\spad{copy(s)} returns a new \\spadtype{ThreeSpace} that is an exact copy of \\spad{s}.")) (|composites| (((|List| $) $) "\\spad{composites(s)} takes the \\spadtype{ThreeSpace} \\spad{s},{} and creates a list containing a unique \\spadtype{ThreeSpace} for each single composite of \\spad{s}. If \\spad{s} has no composites defined (composites need to be explicitly created),{} the list returned is empty. Note that not all the components need to be part of a composite.")) (|components| (((|List| $) $) "\\spad{components(s)} takes the \\spadtype{ThreeSpace} \\spad{s},{} and creates a list containing a unique \\spadtype{ThreeSpace} for each single component of \\spad{s}. If \\spad{s} has no components defined,{} the list returned is empty.")) (|composite| (($ (|List| $)) "\\spad{composite([s1,{}s2,{}...,{}sn])} will create a new \\spadtype{ThreeSpace} that is a union of all the components from each \\spadtype{ThreeSpace} in the parameter list,{} grouped as a composite.")) (|merge| (($ $ $) "\\spad{merge(s1,{}s2)} will create a new \\spadtype{ThreeSpace} that has the components of \\spad{s1} and \\spad{s2}; Groupings of components into composites are maintained.") (($ (|List| $)) "\\spad{merge([s1,{}s2,{}...,{}sn])} will create a new \\spadtype{ThreeSpace} that has the components of all the ones in the list; Groupings of components into composites are maintained.")) (|numberOfComposites| (((|NonNegativeInteger|) $) "\\spad{numberOfComposites(s)} returns the number of supercomponents,{} or composites,{} in the \\spadtype{ThreeSpace},{} \\spad{s}; Composites are arbitrary groupings of otherwise distinct and unrelated components; A \\spadtype{ThreeSpace} need not have any composites defined at all and,{} outside of the requirement that no component can belong to more than one composite at a time,{} the definition and interpretation of composites are unrestricted.")) (|numberOfComponents| (((|NonNegativeInteger|) $) "\\spad{numberOfComponents(s)} returns the number of distinct object components in the indicated \\spadtype{ThreeSpace},{} \\spad{s},{} such as points,{} curves,{} polygons,{} and constructs.")) (|create3Space| (($ (|SubSpace| 3 |#1|)) "\\spad{create3Space(s)} creates a \\spadtype{ThreeSpace} object containing objects pre-defined within some \\spadtype{SubSpace} \\spad{s}.") (($) "\\spad{create3Space()} creates a \\spadtype{ThreeSpace} object capable of holding point,{} curve,{} mesh components and any combination."))) 
 NIL 
 NIL 
-(-1123) 
+(-1124) 
 ((|constructor| (NIL "SpecialOutputPackage allows FORTRAN,{} Tex and Script Formula Formatter output from programs.")) (|outputAsTex| (((|Void|) (|List| (|OutputForm|))) "\\spad{outputAsTex(l)} sends (for each expression in the list \\spad{l}) output in Tex format to the destination as defined by \\spadsyscom{set output tex}.") (((|Void|) (|OutputForm|)) "\\spad{outputAsTex(o)} sends output \\spad{o} in Tex format to the destination defined by \\spadsyscom{set output tex}.")) (|outputAsScript| (((|Void|) (|List| (|OutputForm|))) "\\spad{outputAsScript(l)} sends (for each expression in the list \\spad{l}) output in Script Formula Formatter format to the destination defined. by \\spadsyscom{set output forumula}.") (((|Void|) (|OutputForm|)) "\\spad{outputAsScript(o)} sends output \\spad{o} in Script Formula Formatter format to the destination defined by \\spadsyscom{set output formula}.")) (|outputAsFortran| (((|Void|) (|List| (|OutputForm|))) "\\spad{outputAsFortran(l)} sends (for each expression in the list \\spad{l}) output in FORTRAN format to the destination defined by \\spadsyscom{set output fortran}.") (((|Void|) (|OutputForm|)) "\\spad{outputAsFortran(o)} sends output \\spad{o} in FORTRAN format.") (((|Void|) (|String|) (|OutputForm|)) "\\spad{outputAsFortran(v,{}o)} sends output \\spad{v} = \\spad{o} in FORTRAN format to the destination defined by \\spadsyscom{set output fortran}."))) 
 NIL 
 NIL 
-(-1124) 
+(-1125) 
 ((|constructor| (NIL "Category for the other special functions.")) (|airyBi| (($ $) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}.")) (|airyAi| (($ $) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}.")) (|besselK| (($ $ $) "\\spad{besselK(v,{}z)} is the modified Bessel function of the second kind.")) (|besselI| (($ $ $) "\\spad{besselI(v,{}z)} is the modified Bessel function of the first kind.")) (|besselY| (($ $ $) "\\spad{besselY(v,{}z)} is the Bessel function of the second kind.")) (|besselJ| (($ $ $) "\\spad{besselJ(v,{}z)} is the Bessel function of the first kind.")) (|polygamma| (($ $ $) "\\spad{polygamma(k,{}x)} is the \\spad{k-th} derivative of \\spad{digamma(x)},{} (often written \\spad{psi(k,{}x)} in the literature).")) (|digamma| (($ $) "\\spad{digamma(x)} is the logarithmic derivative of \\spad{Gamma(x)} (often written \\spad{psi(x)} in the literature).")) (|Beta| (($ $ $) "\\spad{Beta(x,{}y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $ $) "\\spad{Gamma(a,{}x)} is the incomplete Gamma function.") (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x}."))) 
 NIL 
 NIL 
-(-1125 V C) 
+(-1126 V C) 
 ((|constructor| (NIL "This domain exports a modest implementation for the vertices of splitting trees. These vertices are called here splitting nodes. Every of these nodes store 3 informations. The first one is its value,{} that is the current expression to evaluate. The second one is its condition,{} that is the hypothesis under which the value has to be evaluated. The last one is its status,{} that is a boolean flag which is \\spad{true} iff the value is the result of its evaluation under its condition. Two splitting vertices are equal iff they have the sane values and the same conditions (so their status do not matter).")) (|subNode?| (((|Boolean|) $ $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNode?(\\spad{n1},{}\\spad{n2},{}\\spad{o2})} returns \\spad{true} iff \\axiom{value(\\spad{n1}) = value(\\spad{n2})} and \\axiom{\\spad{o2}(condition(\\spad{n1}),{}condition(\\spad{n2}))}")) (|infLex?| (((|Boolean|) $ $ (|Mapping| (|Boolean|) |#1| |#1|) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{infLex?(\\spad{n1},{}\\spad{n2},{}\\spad{o1},{}\\spad{o2})} returns \\spad{true} iff \\axiom{\\spad{o1}(value(\\spad{n1}),{}value(\\spad{n2}))} or \\axiom{value(\\spad{n1}) = value(\\spad{n2})} and \\axiom{\\spad{o2}(condition(\\spad{n1}),{}condition(\\spad{n2}))}.")) (|setEmpty!| (($ $) "\\axiom{setEmpty!(\\spad{n})} replaces \\spad{n} by \\axiom{empty()\\$\\%}.")) (|setStatus!| (($ $ (|Boolean|)) "\\axiom{setStatus!(\\spad{n},{}\\spad{b})} returns \\spad{n} whose status has been replaced by \\spad{b} if it is not empty,{} else an error is produced.")) (|setCondition!| (($ $ |#2|) "\\axiom{setCondition!(\\spad{n},{}\\spad{t})} returns \\spad{n} whose condition has been replaced by \\spad{t} if it is not empty,{} else an error is produced.")) (|setValue!| (($ $ |#1|) "\\axiom{setValue!(\\spad{n},{}\\spad{v})} returns \\spad{n} whose value has been replaced by \\spad{v} if it is not empty,{} else an error is produced.")) (|copy| (($ $) "\\axiom{copy(\\spad{n})} returns a copy of \\spad{n}.")) (|construct| (((|List| $) |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v},{}\\spad{lt})} returns the same as \\axiom{[construct(\\spad{v},{}\\spad{t}) for \\spad{t} in \\spad{lt}]}") (((|List| $) (|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|)))) "\\axiom{construct(\\spad{lvt})} returns the same as \\axiom{[construct(\\spad{vt}.val,{}\\spad{vt}.tower) for \\spad{vt} in \\spad{lvt}]}") (($ (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) "\\axiom{construct(\\spad{vt})} returns the same as \\axiom{construct(\\spad{vt}.val,{}\\spad{vt}.tower)}") (($ |#1| |#2|) "\\axiom{construct(\\spad{v},{}\\spad{t})} returns the same as \\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{false})}") (($ |#1| |#2| (|Boolean|)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{b})} returns the non-empty node with value \\spad{v},{} condition \\spad{t} and flag \\spad{b}")) (|status| (((|Boolean|) $) "\\axiom{status(\\spad{n})} returns the status of the node \\spad{n}.")) (|condition| ((|#2| $) "\\axiom{condition(\\spad{n})} returns the condition of the node \\spad{n}.")) (|value| ((|#1| $) "\\axiom{value(\\spad{n})} returns the value of the node \\spad{n}.")) (|empty?| (((|Boolean|) $) "\\axiom{empty?(\\spad{n})} returns \\spad{true} iff the node \\spad{n} is \\axiom{empty()\\$\\%}.")) (|empty| (($) "\\axiom{empty()} returns the same as \\axiom{[empty()\\$\\spad{V},{}empty()\\$\\spad{C},{}\\spad{false}]\\$\\%}"))) 
 NIL 
 NIL 
-(-1126 V C) 
+(-1127 V C) 
 ((|constructor| (NIL "This domain exports a modest implementation of splitting trees. Spliiting trees are needed when the evaluation of some quantity under some hypothesis requires to split the hypothesis into sub-cases. For instance by adding some new hypothesis on one hand and its negation on another hand. The computations are terminated is a splitting tree \\axiom{a} when \\axiom{status(value(a))} is \\axiom{\\spad{true}}. Thus,{} if for the splitting tree \\axiom{a} the flag \\axiom{status(value(a))} is \\axiom{\\spad{true}},{} then \\axiom{status(value(\\spad{d}))} is \\axiom{\\spad{true}} for any subtree \\axiom{\\spad{d}} of \\axiom{a}. This property of splitting trees is called the termination condition. If no vertex in a splitting tree \\axiom{a} is equal to another,{} \\axiom{a} is said to satisfy the no-duplicates condition. The splitting tree \\axiom{a} will satisfy this condition if nodes are added to \\axiom{a} by mean of \\axiom{splitNodeOf!} and if \\axiom{construct} is only used to create the root of \\axiom{a} with no children.")) (|splitNodeOf!| (($ $ $ (|List| (|SplittingNode| |#1| |#2|)) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls},{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not subNodeOf?(\\spad{s},{}a,{}sub?)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.") (($ $ $ (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls})} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not nodeOf?(\\spad{s},{}a)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.")) (|remove!| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove!(\\spad{s},{}a)} replaces a by remove(\\spad{s},{}a)")) (|remove| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove(\\spad{s},{}a)} returns the splitting tree obtained from a by removing every sub-tree \\axiom{\\spad{b}} such that \\axiom{value(\\spad{b})} and \\axiom{\\spad{s}} have the same value,{} condition and status.")) (|subNodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNodeOf?(\\spad{s},{}a,{}sub?)} returns \\spad{true} iff for some node \\axiom{\\spad{n}} in \\axiom{a} we have \\axiom{\\spad{s} = \\spad{n}} or \\axiom{status(\\spad{n})} and \\axiom{subNode?(\\spad{s},{}\\spad{n},{}sub?)}.")) (|nodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $) "\\axiom{nodeOf?(\\spad{s},{}a)} returns \\spad{true} iff some node of \\axiom{a} is equal to \\axiom{\\spad{s}}")) (|result| (((|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) $) "\\axiom{result(a)} where \\axiom{\\spad{ls}} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$\\spad{VT} for \\spad{s} in \\spad{ls}]} if the computations are terminated in \\axiom{a} else an error is produced.")) (|conditions| (((|List| |#2|) $) "\\axiom{conditions(a)} returns the list of the conditions of the leaves of a")) (|construct| (($ |#1| |#2| |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v1},{}\\spad{t},{}\\spad{v2},{}\\spad{lt})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[[\\spad{v},{}\\spad{t}]\\$\\spad{S}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{ls})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| $)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}la)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with \\axiom{la} as children list.") (($ (|SplittingNode| |#1| |#2|)) "\\axiom{construct(\\spad{s})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{\\spad{s}} and no children. Thus,{} if the status of \\axiom{\\spad{s}} is \\spad{false},{} \\axiom{[\\spad{s}]} represents the starting point of the evaluation \\axiom{value(\\spad{s})} under the hypothesis \\axiom{condition(\\spad{s})}.")) (|updateStatus!| (($ $) "\\axiom{updateStatus!(a)} returns a where the status of the vertices are updated to satisfy the \"termination condition\".")) (|extractSplittingLeaf| (((|Union| $ "failed") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-1125 |#1| |#2|) (QUOTE (-1090))) (-12 (|HasCategory| (-1125 |#1| |#2|) (LIST (QUOTE -303) (LIST (QUOTE -1125) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1125 |#1| |#2|) (QUOTE (-1090))))) 
-(-1127 |ndim| R) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-1126 |#1| |#2|) (QUOTE (-1091))) (-12 (|HasCategory| (-1126 |#1| |#2|) (LIST (QUOTE -304) (LIST (QUOTE -1126) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1126 |#1| |#2|) (QUOTE (-1091))))) 
+(-1128 |ndim| R) 
 ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|coerce| (((|Matrix| |#2|) $) "\\spad{coerce(m)} converts a matrix of type \\spadtype{SquareMatrix} to a matrix of type \\spadtype{Matrix}.")) (|squareMatrix| (($ (|Matrix| |#2|)) "\\spad{squareMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spadtype{SquareMatrix}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}."))) 
-((-4518 . T) (-4510 |has| |#2| (-6 (-4523 "*"))) (-4521 . T) (-4515 . T) (-4516 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-225))) (|HasAttribute| |#2| (QUOTE (-4523 "*"))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#2| (QUOTE (-301))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-365))) (-2199 (|HasAttribute| |#2| (QUOTE (-4523 "*"))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568)))) (|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#2| (QUOTE (-225)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -630) (QUOTE (-568))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -895) (QUOTE (-1161))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-225)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090))))) (|HasCategory| |#2| (QUOTE (-172)))) 
-(-1128 S) 
+((-4532 . T) (-4524 |has| |#2| (-6 (-4537 "*"))) (-4535 . T) (-4529 . T) (-4530 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-226))) (|HasAttribute| |#2| (QUOTE (-4537 "*"))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-302))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-366))) (-2232 (|HasAttribute| |#2| (QUOTE (-4537 "*"))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569)))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-569))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-226)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091))))) (|HasCategory| |#2| (QUOTE (-173)))) 
+(-1129 S) 
 ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,{}t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,{}cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,{}c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,{}cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,{}c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,{}cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,{}c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,{}cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,{}c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,{}t,{}i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,{}t,{}i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,{}i..j,{}t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,{}t,{}c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,{}s,{}wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,{}t,{}i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note that \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,{}t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note that \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} \\indented{1}{reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])}} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,{}t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note that \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} \\indented{2}{reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.}")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) 
 NIL 
 NIL 
-(-1129) 
+(-1130) 
 ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,{}t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,{}cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,{}c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,{}cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,{}c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,{}cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,{}c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,{}cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,{}c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,{}t,{}i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,{}t,{}i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,{}i..j,{}t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,{}t,{}c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,{}s,{}wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,{}t,{}i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note that \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,{}t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note that \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} \\indented{1}{reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])}} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,{}t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note that \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} \\indented{2}{reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.}")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1130 R E V P TS) 
+(-1131 R E V P TS) 
 ((|constructor| (NIL "A package providing a new algorithm for solving polynomial systems by means of regular chains. Two ways of solving are provided: in the sense of Zariski closure (like in Kalkbrener\\spad{'s} algorithm) or in the sense of the regular zeros (like in Wu,{} Wang or Lazard- Moreno methods). This algorithm is valid for nay type of regular set. It does not care about the way a polynomial is added in an regular set,{} or how two quasi-components are compared (by an inclusion-test),{} or how the invertibility test is made in the tower of simple extensions associated with a regular set. These operations are realized respectively by the domain \\spad{TS} and the packages \\spad{QCMPPK(R,{}E,{}V,{}P,{}TS)} and \\spad{RSETGCD(R,{}E,{}V,{}P,{}TS)}. The same way it does not care about the way univariate polynomial gcds (with coefficients in the tower of simple extensions associated with a regular set) are computed. The only requirement is that these gcds need to have invertible initials (normalized or not). WARNING. There is no need for a user to call diectly any operation of this package since they can be accessed by the domain \\axiomType{\\spad{TS}}. Thus,{} the operations of this package are not documented."))) 
 NIL 
 NIL 
-(-1131 R E V P) 
+(-1132 R E V P) 
 ((|constructor| (NIL "This domain provides an implementation of square-free regular chains. Moreover,{} the operation zeroSetSplit is an implementation of a new algorithm for solving polynomial systems by means of regular chains.")) (|preprocess| (((|Record| (|:| |val| (|List| |#4|)) (|:| |towers| (|List| $))) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{pre_process(\\spad{lp},{}\\spad{b1},{}\\spad{b2})} is an internal subroutine,{} exported only for developement.")) (|internalZeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalZeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3})} is an internal subroutine,{} exported only for developement.")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2}.\\spad{b3},{}\\spad{b4})} is an internal subroutine,{} exported only for developement.") (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}clos?,{}info?)} has the same specifications as zeroSetSplit from RegularTriangularSetCategory from \\spadtype{RegularTriangularSetCategory} Moreover,{} if clos? then solves in the sense of the Zariski closure else solves in the sense of the regular zeros. If \\axiom{info?} then do print messages during the computations.")) (|internalAugment| (((|List| $) |#4| $ (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalAugment(\\spad{p},{}\\spad{ts},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3},{}\\spad{b4},{}\\spad{b5})} is an internal subroutine,{} exported only for developement."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#4| (QUOTE (-1090))) (-12 (|HasCategory| |#4| (LIST (QUOTE -303) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#3| (QUOTE (-370)))) 
-(-1132 S) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#4| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#4| (QUOTE (-1091))) (-12 (|HasCategory| |#4| (LIST (QUOTE -304) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#3| (QUOTE (-371)))) 
+(-1133 S) 
 ((|constructor| (NIL "Linked List implementation of a Stack")) (|member?| (((|Boolean|) |#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} member?(3,{}a)")) (|members| (((|List| |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} members a")) (|parts| (((|List| |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} parts a")) (|#| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} \\#a")) (|count| (((|NonNegativeInteger|) |#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} count(4,{}a)") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} count(\\spad{x+}->(\\spad{x>2}),{}a)")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} any?(\\spad{x+}->(\\spad{x=4}),{}a)")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} every?(\\spad{x+}->(\\spad{x=4}),{}a)")) (~= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} (a~=b)")) (= (((|Boolean|) $ $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} b:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} (a=b)@Boolean")) (|coerce| (((|OutputForm|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} coerce a")) (|hash| (((|SingleInteger|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} hash a")) (|latex| (((|String|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} latex a")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} map!(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} map(\\spad{x+}-\\spad{>x+10},{}a) \\spad{X} a")) (|eq?| (((|Boolean|) $ $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} b:=copy a \\spad{X} eq?(a,{}\\spad{b})")) (|copy| (($ $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} copy a")) (|sample| (($) "\\blankline \\spad{X} sample()\\$Stack(INT)")) (|empty| (($) "\\blankline \\spad{X} b:=empty()\\$(Stack INT)")) (|empty?| (((|Boolean|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} empty? a")) (|bag| (($ (|List| |#1|)) "\\blankline \\spad{X} bag([1,{}2,{}3,{}4,{}5])\\$Stack(INT)")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} size?(a,{}5)")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} more?(a,{}9)")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} less?(a,{}9)")) (|depth| (((|NonNegativeInteger|) $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} depth a")) (|top| ((|#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} top a")) (|inspect| ((|#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} inspect a")) (|insert!| (($ |#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} insert!(8,{}a) \\spad{X} a")) (|push!| ((|#1| |#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} push!(9,{}a) \\spad{X} a")) (|extract!| ((|#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} extract! a \\spad{X} a")) (|pop!| ((|#1| $) "\\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5] \\spad{X} pop! a \\spad{X} a")) (|stack| (($ (|List| |#1|)) "\\indented{1}{stack([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) creates a stack with first (top)} \\indented{1}{element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}.} \\blankline \\spad{X} a:Stack INT:= stack [1,{}2,{}3,{}4,{}5]"))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-1133 A S) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-1134 A S) 
 ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note that for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note that for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) 
 NIL 
 NIL 
-(-1134 S) 
+(-1135 S) 
 ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note that for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note that for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-1135 |Key| |Ent| |dent|) 
+(-1136 |Key| |Ent| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
-((-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-1090))) (-12 (|HasCategory| |#2| (LIST (QUOTE -303) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1090)))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090)))) (-2199 (|HasCategory| (-2 (|:| -3651 |#1|) (|:| -4085 |#2|)) (QUOTE (-1090))) (|HasCategory| |#2| (QUOTE (-1090))))) 
-(-1136) 
+((-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#2| (QUOTE (-1091))) (-12 (|HasCategory| |#2| (LIST (QUOTE -304) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1091)))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091)))) (-2232 (|HasCategory| (-2 (|:| -2335 |#1|) (|:| -3782 |#2|)) (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1091))))) 
+(-1137) 
 ((|constructor| (NIL "A class of objects which can be 'stepped through'. Repeated applications of \\spadfun{nextItem} is guaranteed never to return duplicate items and only return \"failed\" after exhausting all elements of the domain. This assumes that the sequence starts with \\spad{init()}. For infinite domains,{} repeated application of \\spadfun{nextItem} is not required to reach all possible domain elements starting from any initial element. \\blankline Conditional attributes\\spad{\\br} \\tab{5}infinite\\tab{5}repeated nextItem\\spad{'s} are never \"failed\".")) (|nextItem| (((|Union| $ "failed") $) "\\spad{nextItem(x)} returns the next item,{} or \"failed\" if domain is exhausted.")) (|init| (($) "\\spad{init()} chooses an initial object for stepping."))) 
 NIL 
 NIL 
-(-1137 |Coef|) 
+(-1138 |Coef|) 
 ((|constructor| (NIL "This package computes infinite products of Taylor series over an integral domain of characteristic 0. Here Taylor series are represented by streams of Taylor coefficients.")) (|generalInfiniteProduct| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),{}a,{}d)} computes \\spad{product(n=a,{}a+d,{}a+2*d,{}...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,{}3,{}5...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,{}4,{}6...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,{}2,{}3...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) 
 NIL 
 NIL 
-(-1138 S) 
+(-1139 R) 
+((|tensorMap| (((|Stream| |#1|) (|Stream| |#1|) (|Mapping| (|List| |#1|) |#1|)) "\\spad{tensorMap([s1,{} s2,{} ...],{} f)} returns the stream consisting of all elements of \\spad{f}(\\spad{s1}) followed by all elements of \\spad{f}(\\spad{s2}) and so on."))) 
+NIL 
+NIL 
+(-1140 S) 
 ((|constructor| (NIL "Functions defined on streams with entries in one set.")) (|concat| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\indented{1}{concat(\\spad{u}) returns the left-to-right concatentation of the} \\indented{1}{streams in \\spad{u}. Note that \\spad{concat(u) = reduce(concat,{}u)}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 10..] \\spad{X} \\spad{n:=}[\\spad{j} for \\spad{j} in 1.. | prime? \\spad{j}] \\spad{X} \\spad{p:=}[\\spad{m},{}\\spad{n}]::Stream(Stream(PositiveInteger)) \\spad{X} concat(\\spad{p})"))) 
 NIL 
 NIL 
-(-1139 A B) 
+(-1141 A B) 
 ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|reduce| ((|#2| |#2| (|Mapping| |#2| |#1| |#2|) (|Stream| |#1|)) "\\indented{1}{reduce(\\spad{b},{}\\spad{f},{}\\spad{u}),{} where \\spad{u} is a finite stream \\spad{[x0,{}x1,{}...,{}xn]},{}} \\indented{1}{returns the value \\spad{r(n)} computed as follows:} \\indented{1}{\\spad{r0 = f(x0,{}b),{}} \\indented{1}{\\spad{r1} = \\spad{f}(\\spad{x1},{}\\spad{r0}),{}...,{}} \\indented{1}{\\spad{r}(\\spad{n}) = \\spad{f}(\\spad{xn},{}\\spad{r}(\\spad{n}-1))}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..300]::Stream(Integer) \\spad{X} \\spad{f}(i:Integer,{}j:Integer):Integer==i+j \\spad{X} reduce(1,{}\\spad{f},{}\\spad{m})")) (|scan| (((|Stream| |#2|) |#2| (|Mapping| |#2| |#1| |#2|) (|Stream| |#1|)) "\\indented{1}{scan(\\spad{b},{}\\spad{h},{}[\\spad{x0},{}\\spad{x1},{}\\spad{x2},{}...]) returns \\spad{[y0,{}y1,{}y2,{}...]},{} where} \\indented{1}{\\spad{y0 = h(x0,{}b)},{}} \\indented{1}{\\spad{y1 = h(x1,{}y0)},{}\\spad{...}} \\indented{1}{\\spad{yn = h(xn,{}y(n-1))}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..]::Stream(Integer) \\spad{X} \\spad{f}(i:Integer,{}j:Integer):Integer==i+j \\spad{X} scan(1,{}\\spad{f},{}\\spad{m})")) (|map| (((|Stream| |#2|) (|Mapping| |#2| |#1|) (|Stream| |#1|)) "\\indented{1}{map(\\spad{f},{}\\spad{s}) returns a stream whose elements are the function \\spad{f} applied} \\indented{1}{to the corresponding elements of \\spad{s}.} \\indented{1}{Note that \\spad{map(f,{}[x0,{}x1,{}x2,{}...]) = [f(x0),{}f(x1),{}f(x2),{}..]}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} \\spad{f}(i:PositiveInteger)\\spad{:PositiveInteger==i**2} \\spad{X} map(\\spad{f},{}\\spad{m})"))) 
 NIL 
 NIL 
-(-1140 A B C) 
+(-1142 A B C) 
 ((|constructor| (NIL "Functions defined on streams with entries in three sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|Stream| |#2|)) "\\indented{1}{map(\\spad{f},{}\\spad{st1},{}\\spad{st2}) returns the stream whose elements are the} \\indented{1}{function \\spad{f} applied to the corresponding elements of \\spad{st1} and \\spad{st2}.} \\indented{1}{\\spad{map(f,{}[x0,{}x1,{}x2,{}..],{}[y0,{}y1,{}y2,{}..]) = [f(x0,{}y0),{}f(x1,{}y1),{}..]}.} \\blankline \\spad{S} \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..]::Stream(Integer) \\spad{X} \\spad{n:=}[\\spad{i} for \\spad{i} in 1..]::Stream(Integer) \\spad{X} \\spad{f}(i:Integer,{}j:Integer):Integer \\spad{==} i+j \\spad{X} map(\\spad{f},{}\\spad{m},{}\\spad{n})"))) 
 NIL 
 NIL 
-(-1141 S) 
+(-1143 S) 
 ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\indented{1}{filterUntil(\\spad{p},{}\\spad{s}) returns \\spad{[x0,{}x1,{}...,{}x(n)]} where} \\indented{1}{\\spad{s = [x0,{}x1,{}x2,{}..]} and} \\indented{1}{\\spad{n} is the smallest index such that \\spad{p(xn) = true}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} \\spad{f}(x:PositiveInteger):Boolean \\spad{==} \\spad{x} < 5 \\spad{X} filterUntil(\\spad{f},{}\\spad{m})")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\indented{1}{filterWhile(\\spad{p},{}\\spad{s}) returns \\spad{[x0,{}x1,{}...,{}x(n-1)]} where} \\indented{1}{\\spad{s = [x0,{}x1,{}x2,{}..]} and} \\indented{1}{\\spad{n} is the smallest index such that \\spad{p(xn) = false}.} \\blankline \\spad{X} \\spad{m:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} \\spad{f}(x:PositiveInteger):Boolean \\spad{==} \\spad{x} < 5 \\spad{X} filterWhile(\\spad{f},{}\\spad{m})")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\indented{1}{generate(\\spad{f},{}\\spad{x}) creates an infinite stream whose first element is} \\indented{1}{\\spad{x} and whose \\spad{n}th element (\\spad{n > 1}) is \\spad{f} applied to the previous} \\indented{1}{element. Note: \\spad{generate(f,{}x) = [x,{}f(x),{}f(f(x)),{}...]}.} \\blankline \\spad{X} \\spad{f}(x:Integer):Integer \\spad{==} \\spad{x+10} \\spad{X} generate(\\spad{f},{}10)") (($ (|Mapping| |#1|)) "\\indented{1}{generate(\\spad{f}) creates an infinite stream all of whose elements are} \\indented{1}{equal to \\spad{f()}.} \\indented{1}{Note: \\spad{generate(f) = [f(),{}f(),{}f(),{}...]}.} \\blankline \\spad{X} \\spad{f}():Integer \\spad{==} 1 \\spad{X} generate(\\spad{f})")) (|setrest!| (($ $ (|Integer|) $) "\\indented{1}{setrest!(\\spad{x},{}\\spad{n},{}\\spad{y}) sets rest(\\spad{x},{}\\spad{n}) to \\spad{y}. The function will expand} \\indented{1}{cycles if necessary.} \\blankline \\spad{X} \\spad{p:=}[\\spad{i} for \\spad{i} in 1..] \\spad{X} \\spad{q:=}[\\spad{i} for \\spad{i} in 9..] \\spad{X} setrest!(\\spad{p},{}4,{}\\spad{q}) \\spad{X} \\spad{p}")) (|showAll?| (((|Boolean|)) "\\spad{showAll?()} returns \\spad{true} if all computed entries of streams will be displayed.")) (|showAllElements| (((|OutputForm|) $) "\\indented{1}{showAllElements(\\spad{s}) creates an output form which displays all} \\indented{1}{computed elements.} \\blankline \\spad{X} \\spad{m:=}[1,{}2,{}3,{}4,{}5,{}6,{}7,{}8,{}9,{}10,{}11,{}12] \\spad{X} n:=m::Stream(PositiveInteger) \\spad{X} showAllElements \\spad{n}")) (|output| (((|Void|) (|Integer|) $) "\\indented{1}{output(\\spad{n},{}st) computes and displays the first \\spad{n} entries} \\indented{1}{of st.} \\blankline \\spad{X} \\spad{m:=}[1,{}2,{}3] \\spad{X} n:=repeating(\\spad{m}) \\spad{X} output(5,{}\\spad{n})")) (|cons| (($ |#1| $) "\\indented{1}{cons(a,{}\\spad{s}) returns a stream whose \\spad{first} is \\spad{a}} \\indented{1}{and whose \\spad{rest} is \\spad{s}.} \\indented{1}{Note: \\spad{cons(a,{}s) = concat(a,{}s)}.} \\blankline \\spad{X} \\spad{m:=}[1,{}2,{}3] \\spad{X} n:=repeating(\\spad{m}) \\spad{X} cons(4,{}\\spad{n})")) (|delay| (($ (|Mapping| $)) "\\spad{delay(f)} creates a stream with a lazy evaluation defined by function \\spad{f}. Caution: This function can only be called in compiled code.")) (|findCycle| (((|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|))) (|NonNegativeInteger|) $) "\\indented{1}{findCycle(\\spad{n},{}st) determines if st is periodic within \\spad{n}.} \\blankline \\spad{X} \\spad{m:=}[1,{}2,{}3] \\spad{X} n:=repeating(\\spad{m}) \\spad{X} findCycle(3,{}\\spad{n}) \\spad{X} findCycle(2,{}\\spad{n})")) (|repeating?| (((|Boolean|) (|List| |#1|) $) "\\indented{1}{repeating?(\\spad{l},{}\\spad{s}) returns \\spad{true} if a stream \\spad{s} is periodic} \\indented{1}{with period \\spad{l},{} and \\spad{false} otherwise.} \\blankline \\spad{X} \\spad{m:=}[1,{}2,{}3] \\spad{X} n:=repeating(\\spad{m}) \\spad{X} repeating?(\\spad{m},{}\\spad{n})")) (|repeating| (($ (|List| |#1|)) "\\indented{1}{repeating(\\spad{l}) is a repeating stream whose period is the list \\spad{l}.} \\blankline \\spad{X} m:=repeating([\\spad{-1},{}0,{}1,{}2,{}3])")) (|coerce| (($ (|List| |#1|)) "\\indented{1}{coerce(\\spad{l}) converts a list \\spad{l} to a stream.} \\blankline \\spad{X} \\spad{m:=}[1,{}2,{}3,{}4,{}5,{}6,{}7,{}8,{}9,{}10,{}11,{}12] \\spad{X} coerce(\\spad{m})@Stream(Integer) \\spad{X} m::Stream(Integer)")) (|shallowlyMutable| ((|attribute|) "one may destructively alter a stream by assigning new values to its entries."))) 
-((-4522 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-568) (QUOTE (-842)))) 
-(-1142) 
+((-4536 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-569) (QUOTE (-843)))) 
+(-1144) 
 ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1143) 
+(-1145) 
 ((|constructor| (NIL "This is the domain of character strings. Strings are 1 based."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| (-147) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-147) (QUOTE (-842))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| (-147) (QUOTE (-1090))) (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-842)))) (-12 (|HasCategory| (-147) (LIST (QUOTE -303) (QUOTE (-147)))) (|HasCategory| (-147) (QUOTE (-1090)))))) 
-(-1144 |Entry|) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-148) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-148) (QUOTE (-843))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-148) (QUOTE (-1091))) (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-843)))) (-12 (|HasCategory| (-148) (LIST (QUOTE -304) (QUOTE (-148)))) (|HasCategory| (-148) (QUOTE (-1091)))))) 
+(-1146 |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) 
-((-4521 . T) (-4522 . T)) 
-((|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (QUOTE (-1090))) (-12 (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (LIST (QUOTE -303) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3651) (QUOTE (-1143))) (LIST (QUOTE |:|) (QUOTE -4085) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (QUOTE (-1090)))) (|HasCategory| (-1143) (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090))) (-2199 (|HasCategory| (-2 (|:| -3651 (-1143)) (|:| -4085 |#1|)) (QUOTE (-1090))) (|HasCategory| |#1| (QUOTE (-1090)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-1145 A) 
+((-4535 . T) (-4536 . T)) 
+((|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (QUOTE (-1091))) (-12 (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (LIST (QUOTE -304) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2335) (QUOTE (-1145))) (LIST (QUOTE |:|) (QUOTE -3782) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (QUOTE (-1091)))) (|HasCategory| (-1145) (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091))) (-2232 (|HasCategory| (-2 (|:| -2335 (-1145)) (|:| -3782 |#1|)) (QUOTE (-1091))) (|HasCategory| |#1| (QUOTE (-1091)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-1147 A) 
 ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,{}f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,{}r,{}g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,{}a1,{}..],{}[b0,{}b1,{}..])} returns \\spad{[a0/b0,{}a1/b1,{}..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,{}f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,{}0>,{}b<0,{}1>,{}...],{}[b<1,{}0>,{}b<1,{}1>,{}.],{}...]}. the differential equation has the form \\spad{y'=sum(i=0 to infinity,{}j=0 to infinity,{}b*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,{}f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,{}a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,{}[a0,{}a1,{}a2,{}...]) = [a,{}a0,{}a1/2,{}a2/3,{}...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,{}b,{}st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,{}b,{}st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),{}n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),{}n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),{}n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,{}0>,{}a<0,{}1>,{}..],{}[a<1,{}0>,{}a<1,{}1>,{}..],{}[a<2,{}0>,{}a<2,{}1>,{}..],{}..]} and \\spad{addiag(x) = [b<0,{}b<1>,{}...],{} then b = sum(i+j=k,{}a)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient 1.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,{}b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,{}r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,{}[a0,{}a1,{}a2,{}..])} returns \\spad{[f(0)*a0,{}f(1)*a1,{}f(2)*a2,{}..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,{}a1,{}a2,{}...])} returns \\spad{[a1,{}2 a2,{}3 a3,{}...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,{}a1,{}..],{}[b0,{}b1,{}..])} returns \\spad{[a0*b0,{}a1*b1,{}..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,{}n+2,{}n+4,{}...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,{}n+1,{}n+2,{}...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,{}coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,{}b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by \\spad{r:} \\spad{[a0,{}a1,{}...] * r = [a0 * r,{}a1 * r,{}...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,{}a1,{}...] = [r * a0,{}r * a1,{}...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and \\spad{b:} \\spad{[a0,{}a1,{}...] * [b0,{}b1,{}...] = [c0,{}c1,{}...]} where \\spad{ck = sum(i + j = k,{}\\spad{ai} * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,{}a1,{}...] = [- a0,{}- a1,{}...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,{}a1,{}..] - [b0,{}b1,{}..] = [a0 - b0,{}a1 - b1,{}..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,{}a1,{}..] + [b0,{}b1,{}..] = [a0 + b0,{}a1 + b1,{}..]}"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568)))))) 
-(-1146 |Coef|) 
+((|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569)))))) 
+(-1148 |Coef|) 
 ((|constructor| (NIL "StreamTranscendentalFunctionsNonCommutative implements transcendental functions on Taylor series over a non-commutative ring,{} where a Taylor series is represented by a stream of its coefficients.")) (|acsch| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acsch(st)} computes the inverse hyperbolic cosecant of a power series \\spad{st}.")) (|asech| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asech(st)} computes the inverse hyperbolic secant of a power series \\spad{st}.")) (|acoth| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acoth(st)} computes the inverse hyperbolic cotangent of a power series \\spad{st}.")) (|atanh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{atanh(st)} computes the inverse hyperbolic tangent of a power series \\spad{st}.")) (|acosh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acosh(st)} computes the inverse hyperbolic cosine of a power series \\spad{st}.")) (|asinh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asinh(st)} computes the inverse hyperbolic sine of a power series \\spad{st}.")) (|csch| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{csch(st)} computes the hyperbolic cosecant of a power series \\spad{st}.")) (|sech| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sech(st)} computes the hyperbolic secant of a power series \\spad{st}.")) (|coth| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{coth(st)} computes the hyperbolic cotangent of a power series \\spad{st}.")) (|tanh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{tanh(st)} computes the hyperbolic tangent of a power series \\spad{st}.")) (|cosh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{cosh(st)} computes the hyperbolic cosine of a power series \\spad{st}.")) (|sinh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sinh(st)} computes the hyperbolic sine of a power series \\spad{st}.")) (|acsc| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acsc(st)} computes arccosecant of a power series \\spad{st}.")) (|asec| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asec(st)} computes arcsecant of a power series \\spad{st}.")) (|acot| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acot(st)} computes arccotangent of a power series \\spad{st}.")) (|atan| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{atan(st)} computes arctangent of a power series \\spad{st}.")) (|acos| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acos(st)} computes arccosine of a power series \\spad{st}.")) (|asin| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asin(st)} computes arcsine of a power series \\spad{st}.")) (|csc| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{csc(st)} computes cosecant of a power series \\spad{st}.")) (|sec| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sec(st)} computes secant of a power series \\spad{st}.")) (|cot| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{cot(st)} computes cotangent of a power series \\spad{st}.")) (|tan| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{tan(st)} computes tangent of a power series \\spad{st}.")) (|cos| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{cos(st)} computes cosine of a power series \\spad{st}.")) (|sin| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sin(st)} computes sine of a power series \\spad{st}.")) (** (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{st1 ** st2} computes the power of a power series \\spad{st1} by another power series \\spad{st2}.")) (|log| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{log(st)} computes the log of a power series.")) (|exp| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{exp(st)} computes the exponential of a power series \\spad{st}."))) 
 NIL 
 NIL 
-(-1147 |Coef|) 
+(-1149 |Coef|) 
 ((|constructor| (NIL "StreamTranscendentalFunctions implements transcendental functions on Taylor series,{} where a Taylor series is represented by a stream of its coefficients.")) (|acsch| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acsch(st)} computes the inverse hyperbolic cosecant of a power series \\spad{st}.")) (|asech| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asech(st)} computes the inverse hyperbolic secant of a power series \\spad{st}.")) (|acoth| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acoth(st)} computes the inverse hyperbolic cotangent of a power series \\spad{st}.")) (|atanh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{atanh(st)} computes the inverse hyperbolic tangent of a power series \\spad{st}.")) (|acosh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acosh(st)} computes the inverse hyperbolic cosine of a power series \\spad{st}.")) (|asinh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asinh(st)} computes the inverse hyperbolic sine of a power series \\spad{st}.")) (|csch| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{csch(st)} computes the hyperbolic cosecant of a power series \\spad{st}.")) (|sech| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sech(st)} computes the hyperbolic secant of a power series \\spad{st}.")) (|coth| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{coth(st)} computes the hyperbolic cotangent of a power series \\spad{st}.")) (|tanh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{tanh(st)} computes the hyperbolic tangent of a power series \\spad{st}.")) (|cosh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{cosh(st)} computes the hyperbolic cosine of a power series \\spad{st}.")) (|sinh| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sinh(st)} computes the hyperbolic sine of a power series \\spad{st}.")) (|sinhcosh| (((|Record| (|:| |sinh| (|Stream| |#1|)) (|:| |cosh| (|Stream| |#1|))) (|Stream| |#1|)) "\\spad{sinhcosh(st)} returns a record containing the hyperbolic sine and cosine of a power series \\spad{st}.")) (|acsc| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acsc(st)} computes arccosecant of a power series \\spad{st}.")) (|asec| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asec(st)} computes arcsecant of a power series \\spad{st}.")) (|acot| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acot(st)} computes arccotangent of a power series \\spad{st}.")) (|atan| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{atan(st)} computes arctangent of a power series \\spad{st}.")) (|acos| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{acos(st)} computes arccosine of a power series \\spad{st}.")) (|asin| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{asin(st)} computes arcsine of a power series \\spad{st}.")) (|csc| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{csc(st)} computes cosecant of a power series \\spad{st}.")) (|sec| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sec(st)} computes secant of a power series \\spad{st}.")) (|cot| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{cot(st)} computes cotangent of a power series \\spad{st}.")) (|tan| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{tan(st)} computes tangent of a power series \\spad{st}.")) (|cos| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{cos(st)} computes cosine of a power series \\spad{st}.")) (|sin| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{sin(st)} computes sine of a power series \\spad{st}.")) (|sincos| (((|Record| (|:| |sin| (|Stream| |#1|)) (|:| |cos| (|Stream| |#1|))) (|Stream| |#1|)) "\\spad{sincos(st)} returns a record containing the sine and cosine of a power series \\spad{st}.")) (** (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{st1 ** st2} computes the power of a power series \\spad{st1} by another power series \\spad{st2}.")) (|log| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{log(st)} computes the log of a power series.")) (|exp| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{exp(st)} computes the exponential of a power series \\spad{st}."))) 
 NIL 
 NIL 
-(-1148 R UP) 
+(-1150 R UP) 
 ((|constructor| (NIL "This package computes the subresultants of two polynomials which is needed for the `Lazard Rioboo' enhancement to Tragers integrations formula For efficiency reasons this has been rewritten to call Lionel Ducos package which is currently the best one.")) (|primitivePart| ((|#2| |#2| |#1|) "\\spad{primitivePart(p,{} q)} reduces the coefficient of \\spad{p} modulo \\spad{q},{} takes the primitive part of the result,{} and ensures that the leading coefficient of that result is monic.")) (|subresultantVector| (((|PrimitiveArray| |#2|) |#2| |#2|) "\\spad{subresultantVector(p,{} q)} returns \\spad{[p0,{}...,{}pn]} where \\spad{pi} is the \\spad{i}-th subresultant of \\spad{p} and \\spad{q}. In particular,{} \\spad{p0 = resultant(p,{} q)}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-301)))) 
-(-1149 |n| R) 
+((|HasCategory| |#1| (QUOTE (-302)))) 
+(-1151 |n| R) 
 ((|constructor| (NIL "This domain is not documented")) (|pointData| (((|List| (|Point| |#2|)) $) "\\spad{pointData(s)} returns the list of points from the point data field of the 3 dimensional subspace \\spad{s}.")) (|parent| (($ $) "\\spad{parent(s)} returns the subspace which is the parent of the indicated 3 dimensional subspace \\spad{s}. If \\spad{s} is the top level subspace an error message is returned.")) (|level| (((|NonNegativeInteger|) $) "\\spad{level(s)} returns a non negative integer which is the current level field of the indicated 3 dimensional subspace \\spad{s}.")) (|extractProperty| (((|SubSpaceComponentProperty|) $) "\\spad{extractProperty(s)} returns the property of domain \\spadtype{SubSpaceComponentProperty} of the indicated 3 dimensional subspace \\spad{s}.")) (|extractClosed| (((|Boolean|) $) "\\spad{extractClosed(s)} returns the \\spadtype{Boolean} value of the closed property for the indicated 3 dimensional subspace \\spad{s}. If the property is closed,{} \\spad{True} is returned,{} otherwise \\spad{False} is returned.")) (|extractIndex| (((|NonNegativeInteger|) $) "\\spad{extractIndex(s)} returns a non negative integer which is the current index of the 3 dimensional subspace \\spad{s}.")) (|extractPoint| (((|Point| |#2|) $) "\\spad{extractPoint(s)} returns the point which is given by the current index location into the point data field of the 3 dimensional subspace \\spad{s}.")) (|traverse| (($ $ (|List| (|NonNegativeInteger|))) "\\spad{traverse(s,{}\\spad{li})} follows the branch list of the 3 dimensional subspace,{} \\spad{s},{} along the path dictated by the list of non negative integers,{} \\spad{li},{} which points to the component which has been traversed to. The subspace,{} \\spad{s},{} is returned,{} where \\spad{s} is now the subspace pointed to by \\spad{li}.")) (|defineProperty| (($ $ (|List| (|NonNegativeInteger|)) (|SubSpaceComponentProperty|)) "\\spad{defineProperty(s,{}\\spad{li},{}p)} defines the component property in the 3 dimensional subspace,{} \\spad{s},{} to be that of \\spad{p},{} where \\spad{p} is of the domain \\spadtype{SubSpaceComponentProperty}. The list of non negative integers,{} \\spad{li},{} dictates the path to follow,{} or,{} to look at it another way,{} points to the component whose property is being defined. The subspace,{} \\spad{s},{} is returned with the component property definition.")) (|closeComponent| (($ $ (|List| (|NonNegativeInteger|)) (|Boolean|)) "\\spad{closeComponent(s,{}\\spad{li},{}b)} sets the property of the component in the 3 dimensional subspace,{} \\spad{s},{} to be closed if \\spad{b} is \\spad{true},{} or open if \\spad{b} is \\spad{false}. The list of non negative integers,{} \\spad{li},{} dictates the path to follow,{} or,{} to look at it another way,{} points to the component whose closed property is to be set. The subspace,{} \\spad{s},{} is returned with the component property modification.")) (|modifyPoint| (($ $ (|NonNegativeInteger|) (|Point| |#2|)) "\\spad{modifyPoint(s,{}ind,{}p)} modifies the point referenced by the index location,{} \\spad{ind},{} by replacing it with the point,{} \\spad{p} in the 3 dimensional subspace,{} \\spad{s}. An error message occurs if \\spad{s} is empty,{} otherwise the subspace \\spad{s} is returned with the point modification.") (($ $ (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{modifyPoint(s,{}\\spad{li},{}i)} replaces an existing point in the 3 dimensional subspace,{} \\spad{s},{} with the 4 dimensional point indicated by the index location,{} \\spad{i}. The list of non negative integers,{} \\spad{li},{} dictates the path to follow,{} or,{} to look at it another way,{} points to the component in which the existing point is to be modified. An error message occurs if \\spad{s} is empty,{} otherwise the subspace \\spad{s} is returned with the point modification.") (($ $ (|List| (|NonNegativeInteger|)) (|Point| |#2|)) "\\spad{modifyPoint(s,{}\\spad{li},{}p)} replaces an existing point in the 3 dimensional subspace,{} \\spad{s},{} with the 4 dimensional point,{} \\spad{p}. The list of non negative integers,{} \\spad{li},{} dictates the path to follow,{} or,{} to look at it another way,{} points to the component in which the existing point is to be modified. An error message occurs if \\spad{s} is empty,{} otherwise the subspace \\spad{s} is returned with the point modification.")) (|addPointLast| (($ $ $ (|Point| |#2|) (|NonNegativeInteger|)) "\\spad{addPointLast(s,{}s2,{}\\spad{li},{}p)} adds the 4 dimensional point,{} \\spad{p},{} to the 3 dimensional subspace,{} \\spad{s}. \\spad{s2} point to the end of the subspace \\spad{s}. \\spad{n} is the path in the \\spad{s2} component. The subspace \\spad{s} is returned with the additional point.")) (|addPoint2| (($ $ (|Point| |#2|)) "\\spad{addPoint2(s,{}p)} adds the 4 dimensional point,{} \\spad{p},{} to the 3 dimensional subspace,{} \\spad{s}. The subspace \\spad{s} is returned with the additional point.")) (|addPoint| (((|NonNegativeInteger|) $ (|Point| |#2|)) "\\spad{addPoint(s,{}p)} adds the point,{} \\spad{p},{} to the 3 dimensional subspace,{} \\spad{s},{} and returns the new total number of points in \\spad{s}.") (($ $ (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{addPoint(s,{}\\spad{li},{}i)} adds the 4 dimensional point indicated by the index location,{} \\spad{i},{} to the 3 dimensional subspace,{} \\spad{s}. The list of non negative integers,{} \\spad{li},{} dictates the path to follow,{} or,{} to look at it another way,{} points to the component in which the point is to be added. It\\spad{'s} length should range from 0 to \\spad{n - 1} where \\spad{n} is the dimension of the subspace. If the length is \\spad{n - 1},{} then a specific lowest level component is being referenced. If it is less than \\spad{n - 1},{} then some higher level component (0 indicates top level component) is being referenced and a component of that level with the desired point is created. The subspace \\spad{s} is returned with the additional point.") (($ $ (|List| (|NonNegativeInteger|)) (|Point| |#2|)) "\\spad{addPoint(s,{}\\spad{li},{}p)} adds the 4 dimensional point,{} \\spad{p},{} to the 3 dimensional subspace,{} \\spad{s}. The list of non negative integers,{} \\spad{li},{} dictates the path to follow,{} or,{} to look at it another way,{} points to the component in which the point is to be added. It\\spad{'s} length should range from 0 to \\spad{n - 1} where \\spad{n} is the dimension of the subspace. If the length is \\spad{n - 1},{} then a specific lowest level component is being referenced. If it is less than \\spad{n - 1},{} then some higher level component (0 indicates top level component) is being referenced and a component of that level with the desired point is created. The subspace \\spad{s} is returned with the additional point.")) (|separate| (((|List| $) $) "\\spad{separate(s)} makes each of the components of the \\spadtype{SubSpace},{} \\spad{s},{} into a list of separate and distinct subspaces and returns the list.")) (|merge| (($ (|List| $)) "\\spad{merge(ls)} a list of subspaces,{} \\spad{ls},{} into one subspace.") (($ $ $) "\\spad{merge(s1,{}s2)} the subspaces \\spad{s1} and \\spad{s2} into a single subspace.")) (|deepCopy| (($ $) "\\spad{deepCopy(x)} is not documented")) (|shallowCopy| (($ $) "\\spad{shallowCopy(x)} is not documented")) (|numberOfChildren| (((|NonNegativeInteger|) $) "\\spad{numberOfChildren(x)} is not documented")) (|children| (((|List| $) $) "\\spad{children(x)} is not documented")) (|child| (($ $ (|NonNegativeInteger|)) "\\spad{child(x,{}n)} is not documented")) (|birth| (($ $) "\\spad{birth(x)} is not documented")) (|subspace| (($) "\\spad{subspace()} is not documented")) (|new| (($) "\\spad{new()} is not documented")) (|internal?| (((|Boolean|) $) "\\spad{internal?(x)} is not documented")) (|root?| (((|Boolean|) $) "\\spad{root?(x)} is not documented")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(x)} is not documented"))) 
 NIL 
 NIL 
-(-1150 S1 S2) 
+(-1152 S1 S2) 
 ((|constructor| (NIL "This domain implements \"such that\" forms")) (|rhs| ((|#2| $) "\\spad{rhs(f)} returns the right side of \\spad{f}")) (|lhs| ((|#1| $) "\\spad{lhs(f)} returns the left side of \\spad{f}")) (|construct| (($ |#1| |#2|) "\\spad{construct(s,{}t)} makes a form \\spad{s:t}"))) 
 NIL 
 NIL 
-(-1151 |Coef| |var| |cen|) 
+(-1153 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Laurent series in one variable \\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent series in \\spad{(x - 3)} with integer coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
-(((-4523 "*") -2199 (-2141 (|has| |#1| (-365)) (|has| (-1159 |#1| |#2| |#3|) (-815))) (|has| |#1| (-172)) (-2141 (|has| |#1| (-365)) (|has| (-1159 |#1| |#2| |#3|) (-904)))) (-4514 -2199 (-2141 (|has| |#1| (-365)) (|has| (-1159 |#1| |#2| |#3|) (-815))) (|has| |#1| (-558)) (-2141 (|has| |#1| (-365)) (|has| (-1159 |#1| |#2| |#3|) (-904)))) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| (-568) (QUOTE (-1102))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (-12 (|HasCategory| (-1159 |#1| |#2| |#3|) (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-365)))) (|HasCategory| |#1| (QUOTE (-150)))) (-2199 (-12 (|HasCategory| (-1159 |#1| |#2| |#3|) (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasCategory| |#1| (QUOTE (-365)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-568)) (|devaluate| |#1|)))))) (-2199 (-12 (|HasCategory| (-1159 |#1| |#2| |#3|) (QUOTE (-225))) (|HasCategory| |#1| (QUOTE (-365)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-568)) (|devaluate| |#1|))))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (-12 (|HasCategory| (-1159 |#1| |#2| |#3|) (LIST (QUOTE 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+(-1154 R -1564) 
 ((|constructor| (NIL "Computes sums of top-level expressions")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n),{} n = a..b)} returns \\spad{f}(a) + \\spad{f}(\\spad{a+1}) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n),{} n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) 
 NIL 
 NIL 
-(-1153 R) 
+(-1155 R) 
 ((|constructor| (NIL "Computes sums of rational functions.")) (|sum| (((|Union| (|Fraction| (|Polynomial| |#1|)) (|Expression| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|SegmentBinding| (|Fraction| (|Polynomial| |#1|)))) "\\indented{1}{sum(\\spad{f}(\\spad{n}),{} \\spad{n} = a..\\spad{b}) returns \\spad{f(a) + f(a+1) + ... f(b)}.} \\blankline \\spad{X} sum(i::Fraction(Polynomial(Integer)),{}\\spad{i=1}..\\spad{n})") (((|Fraction| (|Polynomial| |#1|)) (|Polynomial| |#1|) (|SegmentBinding| (|Polynomial| |#1|))) "\\indented{1}{sum(\\spad{f}(\\spad{n}),{} \\spad{n} = a..\\spad{b}) returns \\spad{f(a) + f(a+1) + ... f(b)}.} \\blankline \\spad{X} sum(\\spad{i},{}\\spad{i=1}..\\spad{n})") (((|Union| (|Fraction| (|Polynomial| |#1|)) (|Expression| |#1|)) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\indented{1}{sum(a(\\spad{n}),{} \\spad{n}) returns \\spad{A} which} \\indented{1}{is the indefinite sum of \\spad{a} with respect to} \\indented{1}{upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{A(n+1) - A(n) = a(n)}.} \\blankline \\spad{X} sum(i::Fraction(Polynomial(Integer)),{}i::Symbol)") (((|Fraction| (|Polynomial| |#1|)) (|Polynomial| |#1|) (|Symbol|)) "\\indented{1}{sum(a(\\spad{n}),{} \\spad{n}) returns \\spad{A} which} \\indented{1}{is the indefinite sum of \\spad{a} with respect to} \\indented{1}{upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{A(n+1) - A(n) = a(n)}.} \\blankline \\spad{X} sum(i::Polynomial(Integer),{}variable(\\spad{i=1}..\\spad{n}))"))) 
 NIL 
 NIL 
-(-1154 R S) 
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 ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|SparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{map(func,{} poly)} creates a new polynomial by applying \\spad{func} to every non-zero coefficient of the polynomial poly."))) 
 NIL 
 NIL 
-(-1155 R) 
+(-1157 R) 
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+(-1158 E OV R P) 
 ((|constructor| (NIL "SupFractionFactorize contains the factor function for univariate polynomials over the quotient field of a ring \\spad{S} such that the package MultivariateFactorize works for \\spad{S}")) (|squareFree| (((|Factored| (|SparseUnivariatePolynomial| (|Fraction| |#4|))) (|SparseUnivariatePolynomial| (|Fraction| |#4|))) "\\spad{squareFree(p)} returns the square-free factorization of the univariate polynomial \\spad{p} with coefficients which are fractions of polynomials over \\spad{R}. Each factor has no repeated roots and the factors are pairwise relatively prime.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| (|Fraction| |#4|))) (|SparseUnivariatePolynomial| (|Fraction| |#4|))) "\\spad{factor(p)} factors the univariate polynomial \\spad{p} with coefficients which are fractions of polynomials over \\spad{R}."))) 
 NIL 
 NIL 
-(-1157 R) 
+(-1159 R) 
 ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented. Note that if the coefficient ring is a field,{} this domain forms a euclidean domain.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{x} : \\spad{p1} - \\spad{r} * x**e * \\spad{p2}")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,{}var)} converts the SparseUnivariatePolynomial \\spad{p} to an output form (see \\spadtype{OutputForm}) printed as a polynomial in the output form variable."))) 
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+(-1160 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Puiseux series in one variable \\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
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+(-1161 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Taylor series in one variable \\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
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-(-1160) 
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+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-764)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-764)) (|devaluate| |#1|))))) (|HasCategory| (-764) (QUOTE (-1103))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-764))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-764))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+(-1162) 
 ((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x} Entry}. The result of such operations can be stored and retrieved with this package by using a hash-table. The user does not need to worry about the management of this hash-table. However,{} onnly one hash-table is built by calling \\axiom{TabulatedComputationPackage(Key ,{}Entry)}.")) (|insert!| (((|Void|) |#1| |#2|) "\\axiom{insert!(\\spad{x},{}\\spad{y})} stores the item whose key is \\axiom{\\spad{x}} and whose entry is \\axiom{\\spad{y}}.")) (|extractIfCan| (((|Union| |#2| "failed") |#1|) "\\axiom{extractIfCan(\\spad{x})} searches the item whose key is \\axiom{\\spad{x}}.")) (|makingStats?| (((|Boolean|)) "\\axiom{makingStats?()} returns \\spad{true} iff the statisitics process is running.")) (|printingInfo?| (((|Boolean|)) "\\axiom{printingInfo?()} returns \\spad{true} iff messages are printed when manipulating items from the hash-table.")) (|usingTable?| (((|Boolean|)) "\\axiom{usingTable?()} returns \\spad{true} iff the hash-table is used")) (|clearTable!| (((|Void|)) "\\axiom{clearTable!()} clears the hash-table and assumes that it will no longer be used.")) (|printStats!| (((|Void|)) "\\axiom{printStats!()} prints the statistics.")) (|startStats!| (((|Void|) (|String|)) "\\axiom{startStats!(\\spad{x})} initializes the statisitics process and sets the comments to display when statistics are printed")) (|printInfo!| (((|Void|) (|String|) (|String|)) "\\axiom{printInfo!(\\spad{x},{}\\spad{y})} initializes the mesages to be printed when manipulating items from the hash-table. If a key is retrieved then \\axiom{\\spad{x}} is displayed. If an item is stored then \\axiom{\\spad{y}} is displayed.")) (|initTable!| (((|Void|)) "\\axiom{initTable!()} initializes the hash-table."))) 
 NIL 
 NIL 
-(-1174) 
+(-1176) 
 ((|constructor| (NIL "This package provides functions for template manipulation")) (|stripCommentsAndBlanks| (((|String|) (|String|)) "\\spad{stripCommentsAndBlanks(s)} treats \\spad{s} as a piece of AXIOM input,{} and removes comments,{} and leading and trailing blanks.")) (|interpretString| (((|Any|) (|String|)) "\\spad{interpretString(s)} treats a string as a piece of AXIOM input,{} by parsing and interpreting it."))) 
 NIL 
 NIL 
-(-1175 S) 
+(-1177 S) 
 ((|constructor| (NIL "\\spadtype{TexFormat1} provides a utility coercion for changing to TeX format anything that has a coercion to the standard output format.")) (|coerce| (((|TexFormat|) |#1|) "\\spad{coerce(s)} provides a direct coercion from a domain \\spad{S} to TeX format. This allows the user to skip the step of first manually coercing the object to standard output format before it is coerced to TeX format."))) 
 NIL 
 NIL 
-(-1176) 
+(-1178) 
 ((|constructor| (NIL "\\spadtype{TexFormat} provides a coercion from \\spadtype{OutputForm} to \\TeX{} format. The particular dialect of \\TeX{} used is \\LaTeX{}. The basic object consists of three parts: a prologue,{} a tex part and an epilogue. The functions \\spadfun{prologue},{} \\spadfun{tex} and \\spadfun{epilogue} extract these parts,{} respectively. The main guts of the expression go into the tex part. The other parts can be set (\\spadfun{setPrologue!},{} \\spadfun{setEpilogue!}) so that contain the appropriate tags for printing. For example,{} the prologue and epilogue might simply contain \\spad{``}\\verb+\\spad{\\[}+\\spad{''} and \\spad{``}\\verb+\\spad{\\]}+\\spad{''},{} respectively,{} so that the TeX section will be printed in LaTeX display math mode.")) (|setPrologue!| (((|List| (|String|)) $ (|List| (|String|))) "\\spad{setPrologue!(t,{}strings)} sets the prologue section of a TeX form \\spad{t} to \\spad{strings}.")) (|setTex!| (((|List| (|String|)) $ (|List| (|String|))) "\\spad{setTex!(t,{}strings)} sets the TeX section of a TeX form \\spad{t} to \\spad{strings}.")) (|setEpilogue!| (((|List| (|String|)) $ (|List| (|String|))) "\\spad{setEpilogue!(t,{}strings)} sets the epilogue section of a TeX form \\spad{t} to \\spad{strings}.")) (|prologue| (((|List| (|String|)) $) "\\spad{prologue(t)} extracts the prologue section of a TeX form \\spad{t}.")) (|new| (($) "\\spad{new()} create a new,{} empty object. Use \\spadfun{setPrologue!},{} \\spadfun{setTex!} and \\spadfun{setEpilogue!} to set the various components of this object.")) (|tex| (((|List| (|String|)) $) "\\spad{tex(t)} extracts the TeX section of a TeX form \\spad{t}.")) (|epilogue| (((|List| (|String|)) $) "\\spad{epilogue(t)} extracts the epilogue section of a TeX form \\spad{t}.")) (|display| (((|Void|) $) "\\spad{display(t)} outputs the TeX formatted code \\spad{t} so that each line has length less than or equal to the value set by the system command \\spadsyscom{set output length}.") (((|Void|) $ (|Integer|)) "\\spad{display(t,{}width)} outputs the TeX formatted code \\spad{t} so that each line has length less than or equal to \\spadvar{\\spad{width}}.")) (|convert| (($ (|OutputForm|) (|Integer|) (|OutputForm|)) "\\spad{convert(o,{}step,{}type)} changes \\spad{o} in standard output format to TeX format and also adds the given \\spad{step} number and \\spad{type}. This is useful if you want to create equations with given numbers or have the equation numbers correspond to the interpreter \\spad{step} numbers.") (($ (|OutputForm|) (|Integer|)) "\\spad{convert(o,{}step)} changes \\spad{o} in standard output format to TeX format and also adds the given \\spad{step} number. This is useful if you want to create equations with given numbers or have the equation numbers correspond to the interpreter \\spad{step} numbers.")) (|coerce| (($ (|OutputForm|)) "\\spad{coerce(o)} changes \\spad{o} in the standard output format to TeX format."))) 
 NIL 
 NIL 
-(-1177) 
+(-1179) 
 ((|constructor| (NIL "This domain provides an implementation of text files. Text is stored in these files using the native character set of the computer.")) (|endOfFile?| (((|Boolean|) $) "\\spad{endOfFile?(f)} tests whether the file \\spad{f} is positioned after the end of all text. If the file is open for output,{} then this test is always \\spad{true}.")) (|readIfCan!| (((|Union| (|String|) "failed") $) "\\spad{readIfCan!(f)} returns a string of the contents of a line from file \\spad{f},{} if possible. If \\spad{f} is not readable or if it is positioned at the end of file,{} then \\spad{\"failed\"} is returned.")) (|readLineIfCan!| (((|Union| (|String|) "failed") $) "\\spad{readLineIfCan!(f)} returns a string of the contents of a line from file \\spad{f},{} if possible. If \\spad{f} is not readable or if it is positioned at the end of file,{} then \\spad{\"failed\"} is returned.")) (|readLine!| (((|String|) $) "\\spad{readLine!(f)} returns a string of the contents of a line from the file \\spad{f}.")) (|writeLine!| (((|String|) $) "\\spad{writeLine!(f)} finishes the current line in the file \\spad{f}. An empty string is returned. The call \\spad{writeLine!(f)} is equivalent to \\spad{writeLine!(f,{}\"\")}.") (((|String|) $ (|String|)) "\\spad{writeLine!(f,{}s)} writes the contents of the string \\spad{s} and finishes the current line in the file \\spad{f}. The value of \\spad{s} is returned."))) 
 NIL 
 NIL 
-(-1178 R) 
+(-1180 R) 
 ((|constructor| (NIL "Tools for the sign finding utilities.")) (|direction| (((|Integer|) (|String|)) "\\spad{direction(s)} \\undocumented")) (|nonQsign| (((|Union| (|Integer|) "failed") |#1|) "\\spad{nonQsign(r)} \\undocumented")) (|sign| (((|Union| (|Integer|) "failed") |#1|) "\\spad{sign(r)} \\undocumented"))) 
 NIL 
 NIL 
-(-1179) 
+(-1181) 
 ((|constructor| (NIL "This package exports a function for making a \\spadtype{ThreeSpace}")) (|createThreeSpace| (((|ThreeSpace| (|DoubleFloat|))) "\\spad{createThreeSpace()} creates a \\spadtype{ThreeSpace(DoubleFloat)} object capable of holding point,{} curve,{} mesh components and any combination."))) 
 NIL 
 NIL 
-(-1180 S) 
+(-1182 S) 
 ((|constructor| (NIL "Category for the transcendental elementary functions.")) (|pi| (($) "\\spad{\\spad{pi}()} returns the constant \\spad{pi}."))) 
 NIL 
 NIL 
-(-1181) 
+(-1183) 
 ((|constructor| (NIL "Category for the transcendental elementary functions.")) (|pi| (($) "\\spad{\\spad{pi}()} returns the constant \\spad{pi}."))) 
 NIL 
 NIL 
-(-1182 S) 
+(-1184 S) 
 ((|constructor| (NIL "\\spadtype{Tree(S)} is a basic domains of tree structures. Each tree is either empty or else is a node consisting of a value and a list of (sub)trees.")) (|cyclicParents| (((|List| $) $) "\\indented{1}{cyclicParents(\\spad{t}) returns a list of cycles that are parents of \\spad{t}.} \\blankline \\spad{X} t1:=tree [1,{}2,{}3,{}4] \\spad{X} cyclicParents \\spad{t1}")) (|cyclicEqual?| (((|Boolean|) $ $) "\\indented{1}{cyclicEqual?(\\spad{t1},{} \\spad{t2}) tests of two cyclic trees have} \\indented{1}{the same structure.} \\blankline \\spad{X} t1:=tree [1,{}2,{}3,{}4] \\spad{X} t2:=tree [1,{}2,{}3,{}4] \\spad{X} cyclicEqual?(\\spad{t1},{}\\spad{t2})")) (|cyclicEntries| (((|List| $) $) "\\indented{1}{cyclicEntries(\\spad{t}) returns a list of top-level cycles in tree \\spad{t}.} \\blankline \\spad{X} t1:=tree [1,{}2,{}3,{}4] \\spad{X} cyclicEntries \\spad{t1}")) (|cyclicCopy| (($ $) "\\indented{1}{cyclicCopy(\\spad{l}) makes a copy of a (possibly) cyclic tree \\spad{l}.} \\blankline \\spad{X} t1:=tree [1,{}2,{}3,{}4] \\spad{X} cyclicCopy \\spad{t1}")) (|cyclic?| (((|Boolean|) $) "\\indented{1}{cyclic?(\\spad{t}) tests if \\spad{t} is a cyclic tree.} \\blankline \\spad{X} t1:=tree [1,{}2,{}3,{}4] \\spad{X} cyclic? \\spad{t1}")) (|tree| (($ |#1|) "\\indented{1}{tree(\\spad{nd}) creates a tree with value \\spad{nd},{} and no children} \\blankline \\spad{X} tree 6") (($ (|List| |#1|)) "\\indented{1}{tree(\\spad{ls}) creates a tree from a list of elements of \\spad{s}.} \\blankline \\spad{X} tree [1,{}2,{}3,{}4]") (($ |#1| (|List| $)) "\\indented{1}{tree(\\spad{nd},{}\\spad{ls}) creates a tree with value \\spad{nd},{} and children \\spad{ls}.} \\blankline \\spad{X} t1:=tree [1,{}2,{}3,{}4] \\spad{X} tree(5,{}[\\spad{t1}])"))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090))))) 
-(-1183 S) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091))))) 
+(-1185 S) 
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-1184) 
+(-1186) 
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-1185 R -1478) 
+(-1187 R -1564) 
 ((|constructor| (NIL "\\spadtype{TrigonometricManipulations} provides transformations from trigonometric functions to complex exponentials and logarithms,{} and back.")) (|complexForm| (((|Complex| |#2|) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f,{} imag f]}.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| ((|#2| |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| ((|#2| |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f,{} x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f,{} x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
 NIL 
 NIL 
-(-1186 R |Row| |Col| M) 
+(-1188 R |Row| |Col| M) 
 ((|constructor| (NIL "This package provides functions that compute \"fraction-free\" inverses of upper and lower triangular matrices over a integral domain. By \"fraction-free inverses\" we mean the following: given a matrix \\spad{B} with entries in \\spad{R} and an element \\spad{d} of \\spad{R} such that \\spad{d} * inv(\\spad{B}) also has entries in \\spad{R},{} we return \\spad{d} * inv(\\spad{B}). Thus,{} it is not necessary to pass to the quotient field in any of our computations.")) (|LowTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{LowTriBddDenomInv(B,{}d)} returns \\spad{M},{} where \\spad{B} is a non-singular lower triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")) (|UpTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{UpTriBddDenomInv(B,{}d)} returns \\spad{M},{} where \\spad{B} is a non-singular upper triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}."))) 
 NIL 
 NIL 
-(-1187 R -1478) 
+(-1189 R -1564) 
 ((|constructor| (NIL "TranscendentalManipulations provides functions to simplify and expand expressions involving transcendental operators.")) (|expandTrigProducts| ((|#2| |#2|) "\\spad{expandTrigProducts(e)} replaces \\axiom{sin(\\spad{x})*sin(\\spad{y})} by \\spad{(cos(x-y)-cos(x+y))/2},{} \\axiom{cos(\\spad{x})*cos(\\spad{y})} by \\spad{(cos(x-y)+cos(x+y))/2},{} and \\axiom{sin(\\spad{x})*cos(\\spad{y})} by \\spad{(sin(x-y)+sin(x+y))/2}. Note that this operation uses the pattern matcher and so is relatively expensive. To avoid getting into an infinite loop the transformations are applied at most ten times.")) (|removeSinhSq| ((|#2| |#2|) "\\spad{removeSinhSq(f)} converts every \\spad{sinh(u)**2} appearing in \\spad{f} into \\spad{1 - cosh(x)**2},{} and also reduces higher powers of \\spad{sinh(u)} with that formula.")) (|removeCoshSq| ((|#2| |#2|) "\\spad{removeCoshSq(f)} converts every \\spad{cosh(u)**2} appearing in \\spad{f} into \\spad{1 - sinh(x)**2},{} and also reduces higher powers of \\spad{cosh(u)} with that formula.")) (|removeSinSq| ((|#2| |#2|) "\\spad{removeSinSq(f)} converts every \\spad{sin(u)**2} appearing in \\spad{f} into \\spad{1 - cos(x)**2},{} and also reduces higher powers of \\spad{sin(u)} with that formula.")) (|removeCosSq| ((|#2| |#2|) "\\spad{removeCosSq(f)} converts every \\spad{cos(u)**2} appearing in \\spad{f} into \\spad{1 - sin(x)**2},{} and also reduces higher powers of \\spad{cos(u)} with that formula.")) (|coth2tanh| ((|#2| |#2|) "\\spad{coth2tanh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{1/tanh(u)}.")) (|cot2tan| ((|#2| |#2|) "\\spad{cot2tan(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{1/tan(u)}.")) (|tanh2coth| ((|#2| |#2|) "\\spad{tanh2coth(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{1/coth(u)}.")) (|tan2cot| ((|#2| |#2|) "\\spad{tan2cot(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{1/cot(u)}.")) (|tanh2trigh| ((|#2| |#2|) "\\spad{tanh2trigh(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{sinh(u)/cosh(u)}.")) (|tan2trig| ((|#2| |#2|) "\\spad{tan2trig(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{sin(u)/cos(u)}.")) (|sinh2csch| ((|#2| |#2|) "\\spad{sinh2csch(f)} converts every \\spad{sinh(u)} appearing in \\spad{f} into \\spad{1/csch(u)}.")) (|sin2csc| ((|#2| |#2|) "\\spad{sin2csc(f)} converts every \\spad{sin(u)} appearing in \\spad{f} into \\spad{1/csc(u)}.")) (|sech2cosh| ((|#2| |#2|) "\\spad{sech2cosh(f)} converts every \\spad{sech(u)} appearing in \\spad{f} into \\spad{1/cosh(u)}.")) (|sec2cos| ((|#2| |#2|) "\\spad{sec2cos(f)} converts every \\spad{sec(u)} appearing in \\spad{f} into \\spad{1/cos(u)}.")) (|csch2sinh| ((|#2| |#2|) "\\spad{csch2sinh(f)} converts every \\spad{csch(u)} appearing in \\spad{f} into \\spad{1/sinh(u)}.")) (|csc2sin| ((|#2| |#2|) "\\spad{csc2sin(f)} converts every \\spad{csc(u)} appearing in \\spad{f} into \\spad{1/sin(u)}.")) (|coth2trigh| ((|#2| |#2|) "\\spad{coth2trigh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{cosh(u)/sinh(u)}.")) (|cot2trig| ((|#2| |#2|) "\\spad{cot2trig(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{cos(u)/sin(u)}.")) (|cosh2sech| ((|#2| |#2|) "\\spad{cosh2sech(f)} converts every \\spad{cosh(u)} appearing in \\spad{f} into \\spad{1/sech(u)}.")) (|cos2sec| ((|#2| |#2|) "\\spad{cos2sec(f)} converts every \\spad{cos(u)} appearing in \\spad{f} into \\spad{1/sec(u)}.")) (|expandLog| ((|#2| |#2|) "\\spad{expandLog(f)} converts every \\spad{log(a/b)} appearing in \\spad{f} into \\spad{log(a) - log(b)},{} and every \\spad{log(a*b)} into \\spad{log(a) + log(b)}..")) (|expandPower| ((|#2| |#2|) "\\spad{expandPower(f)} converts every power \\spad{(a/b)**c} appearing in \\spad{f} into \\spad{a**c * b**(-c)}.")) (|simplifyLog| ((|#2| |#2|) "\\spad{simplifyLog(f)} converts every \\spad{log(a) - log(b)} appearing in \\spad{f} into \\spad{log(a/b)},{} every \\spad{log(a) + log(b)} into \\spad{log(a*b)} and every \\spad{n*log(a)} into \\spad{log(a^n)}.")) (|simplifyExp| ((|#2| |#2|) "\\spad{simplifyExp(f)} converts every product \\spad{exp(a)*exp(b)} appearing in \\spad{f} into \\spad{exp(a+b)}.")) (|htrigs| ((|#2| |#2|) "\\spad{htrigs(f)} converts all the exponentials in \\spad{f} into hyperbolic sines and cosines.")) (|simplify| ((|#2| |#2|) "\\spad{simplify(f)} performs the following simplifications on \\spad{f:}\\begin{items} \\item 1. rewrites trigs and hyperbolic trigs in terms of \\spad{sin} ,{}\\spad{cos},{} \\spad{sinh},{} \\spad{cosh}. \\item 2. rewrites \\spad{sin**2} and \\spad{sinh**2} in terms of \\spad{cos} and \\spad{cosh},{} \\item 3. rewrites \\spad{exp(a)*exp(b)} as \\spad{exp(a+b)}. \\item 4. rewrites \\spad{(a**(1/n))**m * (a**(1/s))**t} as a single power of a single radical of \\spad{a}. \\end{items}")) (|expand| ((|#2| |#2|) "\\spad{expand(f)} performs the following expansions on \\spad{f:}\\begin{items} \\item 1. logs of products are expanded into sums of logs,{} \\item 2. trigonometric and hyperbolic trigonometric functions of sums are expanded into sums of products of trigonometric and hyperbolic trigonometric functions. \\item 3. formal powers of the form \\spad{(a/b)**c} are expanded into \\spad{a**c * b**(-c)}. \\end{items}"))) 
 NIL 
-((-12 (|HasCategory| |#1| (LIST (QUOTE -609) (LIST (QUOTE -887) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -881) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -609) (LIST (QUOTE -887) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -881) (|devaluate| |#1|))))) 
-(-1188 S R E V P) 
+((-12 (|HasCategory| |#1| (LIST (QUOTE -610) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -882) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -610) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -882) (|devaluate| |#1|))))) 
+(-1190 S R E V P) 
 ((|constructor| (NIL "The category of triangular sets of multivariate polynomials with coefficients in an integral domain. Let \\axiom{\\spad{R}} be an integral domain and \\axiom{\\spad{V}} a finite ordered set of variables,{} say \\axiom{\\spad{X1} < \\spad{X2} < ... < \\spad{Xn}}. A set \\axiom{\\spad{S}} of polynomials in \\axiom{\\spad{R}[\\spad{X1},{}\\spad{X2},{}...,{}\\spad{Xn}]} is triangular if no elements of \\axiom{\\spad{S}} lies in \\axiom{\\spad{R}},{} and if two distinct elements of \\axiom{\\spad{S}} have distinct main variables. Note that the empty set is a triangular set. A triangular set is not necessarily a (lexicographical) Groebner basis and the notion of reduction related to triangular sets is based on the recursive view of polynomials. We recall this notion here and refer to [1] for more details. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a non-constant polynomial \\axiom{\\spad{Q}} if the degree of \\axiom{\\spad{P}} in the main variable of \\axiom{\\spad{Q}} is less than the main degree of \\axiom{\\spad{Q}}. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a triangular set \\axiom{\\spad{T}} if it is reduced \\spad{w}.\\spad{r}.\\spad{t}. every polynomial of \\axiom{\\spad{T}}.")) (|coHeight| (((|NonNegativeInteger|) $) "\\axiom{coHeight(\\spad{ts})} returns \\axiom{size()\\spad{\\$}\\spad{V}} minus \\axiom{\\spad{\\#}\\spad{ts}}.")) (|extend| (($ $ |#5|) "\\axiom{extend(\\spad{ts},{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{\\spad{ts}},{} according to the properties of triangular sets of the current category. If the required properties do not hold an error is returned.")) (|extendIfCan| (((|Union| $ "failed") $ |#5|) "\\axiom{extendIfCan(\\spad{ts},{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{\\spad{ts}},{} according to the properties of triangular sets of the current domain. If the required properties do not hold then \"failed\" is returned. This operation encodes in some sense the properties of the triangular sets of the current category. Is is used to implement the \\axiom{construct} operation to guarantee that every triangular set build from a list of polynomials has the required properties.")) (|select| (((|Union| |#5| "failed") $ |#4|) "\\axiom{select(\\spad{ts},{}\\spad{v})} returns the polynomial of \\axiom{\\spad{ts}} with \\axiom{\\spad{v}} as main variable,{} if any.")) (|algebraic?| (((|Boolean|) |#4| $) "\\axiom{algebraic?(\\spad{v},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ts}}.")) (|algebraicVariables| (((|List| |#4|) $) "\\axiom{algebraicVariables(\\spad{ts})} returns the decreasingly sorted list of the main variables of the polynomials of \\axiom{\\spad{ts}}.")) (|rest| (((|Union| $ "failed") $) "\\axiom{rest(\\spad{ts})} returns the polynomials of \\axiom{\\spad{ts}} with smaller main variable than \\axiom{mvar(\\spad{ts})} if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \"failed\"")) (|last| (((|Union| |#5| "failed") $) "\\axiom{last(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with smallest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|first| (((|Union| |#5| "failed") $) "\\axiom{first(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with greatest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|zeroSetSplitIntoTriangularSystems| (((|List| (|Record| (|:| |close| $) (|:| |open| (|List| |#5|)))) (|List| |#5|)) "\\axiom{zeroSetSplitIntoTriangularSystems(\\spad{lp})} returns a list of triangular systems \\axiom{[[\\spad{ts1},{}\\spad{qs1}],{}...,{}[\\spad{tsn},{}\\spad{qsn}]]} such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the \\axiom{W_i} where \\axiom{W_i} consists of the zeros of \\axiom{\\spad{ts}} which do not cancel any polynomial in \\axiom{qsi}.")) (|zeroSetSplit| (((|List| $) (|List| |#5|)) "\\axiom{zeroSetSplit(\\spad{lp})} returns a list \\axiom{\\spad{lts}} of triangular sets such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the regular zero sets of the members of \\axiom{\\spad{lts}}.")) (|reduceByQuasiMonic| ((|#5| |#5| $) "\\axiom{reduceByQuasiMonic(\\spad{p},{}\\spad{ts})} returns the same as \\axiom{remainder(\\spad{p},{}collectQuasiMonic(\\spad{ts})).polnum}.")) (|collectQuasiMonic| (($ $) "\\axiom{collectQuasiMonic(\\spad{ts})} returns the subset of \\axiom{\\spad{ts}} consisting of the polynomials with initial in \\axiom{\\spad{R}}.")) (|removeZero| ((|#5| |#5| $) "\\axiom{removeZero(\\spad{p},{}\\spad{ts})} returns \\axiom{0} if \\axiom{\\spad{p}} reduces to \\axiom{0} by pseudo-division \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{ts}} otherwise returns a polynomial \\axiom{\\spad{q}} computed from \\axiom{\\spad{p}} by removing any coefficient in \\axiom{\\spad{p}} reducing to \\axiom{0}.")) (|initiallyReduce| ((|#5| |#5| $) "\\axiom{initiallyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|headReduce| ((|#5| |#5| $) "\\axiom{headReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduce?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|stronglyReduce| ((|#5| |#5| $) "\\axiom{stronglyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{stronglyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|rewriteSetWithReduction| (((|List| |#5|) (|List| |#5|) $ (|Mapping| |#5| |#5| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{rewriteSetWithReduction(\\spad{lp},{}\\spad{ts},{}redOp,{}redOp?)} returns a list \\axiom{\\spad{lq}} of polynomials such that \\axiom{[reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?) for \\spad{p} in \\spad{lp}]} and \\axiom{\\spad{lp}} have the same zeros inside the regular zero set of \\axiom{\\spad{ts}}. Moreover,{} for every polynomial \\axiom{\\spad{q}} in \\axiom{\\spad{lq}} and every polynomial \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{q},{}\\spad{t})} holds and there exists a polynomial \\axiom{\\spad{p}} in the ideal generated by \\axiom{\\spad{lp}} and a product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|reduce| ((|#5| |#5| $ (|Mapping| |#5| |#5| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{redOp?(\\spad{r},{}\\spad{p})} holds for every \\axiom{\\spad{p}} of \\axiom{\\spad{ts}} and there exists some product \\axiom{\\spad{h}} of the initials of the members of \\axiom{\\spad{ts}} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|autoReduced?| (((|Boolean|) $ (|Mapping| (|Boolean|) |#5| (|List| |#5|))) "\\axiom{autoReduced?(\\spad{ts},{}redOp?)} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to every other in the sense of \\axiom{redOp?}")) (|initiallyReduced?| (((|Boolean|) $) "\\spad{initiallyReduced?(ts)} returns \\spad{true} iff for every element \\axiom{\\spad{p}} of \\axiom{\\spad{ts}}. \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the other elements of \\axiom{\\spad{ts}} with the same main variable.") (((|Boolean|) |#5| $) "\\axiom{initiallyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the elements of \\axiom{\\spad{ts}} with the same main variable.")) (|headReduced?| (((|Boolean|) $) "\\spad{headReduced?(ts)} returns \\spad{true} iff the head of every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#5| $) "\\axiom{headReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff the head of \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|stronglyReduced?| (((|Boolean|) $) "\\axiom{stronglyReduced?(\\spad{ts})} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#5| $) "\\axiom{stronglyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|reduced?| (((|Boolean|) |#5| $ (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{reduced?(\\spad{p},{}\\spad{ts},{}redOp?)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}.in the sense of the operation \\axiom{redOp?},{} that is if for every \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{p},{}\\spad{t})} holds.")) (|normalized?| (((|Boolean|) $) "\\axiom{normalized?(\\spad{ts})} returns \\spad{true} iff for every axiom{\\spad{p}} in \\axiom{\\spad{ts}} we have \\axiom{normalized?(\\spad{p},{}us)} where \\axiom{us} is \\axiom{collectUnder(\\spad{ts},{}mvar(\\spad{p}))}.") (((|Boolean|) |#5| $) "\\axiom{normalized?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variables of the polynomials of \\axiom{\\spad{ts}}")) (|quasiComponent| (((|Record| (|:| |close| (|List| |#5|)) (|:| |open| (|List| |#5|))) $) "\\axiom{quasiComponent(\\spad{ts})} returns \\axiom{[\\spad{lp},{}\\spad{lq}]} where \\axiom{\\spad{lp}} is the list of the members of \\axiom{\\spad{ts}} and \\axiom{\\spad{lq}}is \\axiom{initials(\\spad{ts})}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{ts})} returns the product of main degrees of the members of \\axiom{\\spad{ts}}.")) (|initials| (((|List| |#5|) $) "\\axiom{initials(\\spad{ts})} returns the list of the non-constant initials of the members of \\axiom{\\spad{ts}}.")) (|basicSet| (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#5|))) "failed") (|List| |#5|) (|Mapping| (|Boolean|) |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{basicSet(\\spad{ps},{}pred?,{}redOp?)} returns the same as \\axiom{basicSet(\\spad{qs},{}redOp?)} where \\axiom{\\spad{qs}} consists of the polynomials of \\axiom{\\spad{ps}} satisfying property \\axiom{pred?}.") (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#5|))) "failed") (|List| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{basicSet(\\spad{ps},{}redOp?)} returns \\axiom{[\\spad{bs},{}\\spad{ts}]} where \\axiom{concat(\\spad{bs},{}\\spad{ts})} is \\axiom{\\spad{ps}} and \\axiom{\\spad{bs}} is a basic set in Wu Wen Tsun sense of \\axiom{\\spad{ps}} \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?},{} if no non-zero constant polynomial lie in \\axiom{\\spad{ps}},{} otherwise \\axiom{\"failed\"} is returned.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) 
 NIL 
-((|HasCategory| |#4| (QUOTE (-370)))) 
-(-1189 R E V P) 
+((|HasCategory| |#4| (QUOTE (-371)))) 
+(-1191 R E V P) 
 ((|constructor| (NIL "The category of triangular sets of multivariate polynomials with coefficients in an integral domain. Let \\axiom{\\spad{R}} be an integral domain and \\axiom{\\spad{V}} a finite ordered set of variables,{} say \\axiom{\\spad{X1} < \\spad{X2} < ... < \\spad{Xn}}. A set \\axiom{\\spad{S}} of polynomials in \\axiom{\\spad{R}[\\spad{X1},{}\\spad{X2},{}...,{}\\spad{Xn}]} is triangular if no elements of \\axiom{\\spad{S}} lies in \\axiom{\\spad{R}},{} and if two distinct elements of \\axiom{\\spad{S}} have distinct main variables. Note that the empty set is a triangular set. A triangular set is not necessarily a (lexicographical) Groebner basis and the notion of reduction related to triangular sets is based on the recursive view of polynomials. We recall this notion here and refer to [1] for more details. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a non-constant polynomial \\axiom{\\spad{Q}} if the degree of \\axiom{\\spad{P}} in the main variable of \\axiom{\\spad{Q}} is less than the main degree of \\axiom{\\spad{Q}}. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a triangular set \\axiom{\\spad{T}} if it is reduced \\spad{w}.\\spad{r}.\\spad{t}. every polynomial of \\axiom{\\spad{T}}.")) (|coHeight| (((|NonNegativeInteger|) $) "\\axiom{coHeight(\\spad{ts})} returns \\axiom{size()\\spad{\\$}\\spad{V}} minus \\axiom{\\spad{\\#}\\spad{ts}}.")) (|extend| (($ $ |#4|) "\\axiom{extend(\\spad{ts},{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{\\spad{ts}},{} according to the properties of triangular sets of the current category. If the required properties do not hold an error is returned.")) (|extendIfCan| (((|Union| $ "failed") $ |#4|) "\\axiom{extendIfCan(\\spad{ts},{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{\\spad{ts}},{} according to the properties of triangular sets of the current domain. If the required properties do not hold then \"failed\" is returned. This operation encodes in some sense the properties of the triangular sets of the current category. Is is used to implement the \\axiom{construct} operation to guarantee that every triangular set build from a list of polynomials has the required properties.")) (|select| (((|Union| |#4| "failed") $ |#3|) "\\axiom{select(\\spad{ts},{}\\spad{v})} returns the polynomial of \\axiom{\\spad{ts}} with \\axiom{\\spad{v}} as main variable,{} if any.")) (|algebraic?| (((|Boolean|) |#3| $) "\\axiom{algebraic?(\\spad{v},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ts}}.")) (|algebraicVariables| (((|List| |#3|) $) "\\axiom{algebraicVariables(\\spad{ts})} returns the decreasingly sorted list of the main variables of the polynomials of \\axiom{\\spad{ts}}.")) (|rest| (((|Union| $ "failed") $) "\\axiom{rest(\\spad{ts})} returns the polynomials of \\axiom{\\spad{ts}} with smaller main variable than \\axiom{mvar(\\spad{ts})} if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \"failed\"")) (|last| (((|Union| |#4| "failed") $) "\\axiom{last(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with smallest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|first| (((|Union| |#4| "failed") $) "\\axiom{first(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with greatest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|zeroSetSplitIntoTriangularSystems| (((|List| (|Record| (|:| |close| $) (|:| |open| (|List| |#4|)))) (|List| |#4|)) "\\axiom{zeroSetSplitIntoTriangularSystems(\\spad{lp})} returns a list of triangular systems \\axiom{[[\\spad{ts1},{}\\spad{qs1}],{}...,{}[\\spad{tsn},{}\\spad{qsn}]]} such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the \\axiom{W_i} where \\axiom{W_i} consists of the zeros of \\axiom{\\spad{ts}} which do not cancel any polynomial in \\axiom{qsi}.")) (|zeroSetSplit| (((|List| $) (|List| |#4|)) "\\axiom{zeroSetSplit(\\spad{lp})} returns a list \\axiom{\\spad{lts}} of triangular sets such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the regular zero sets of the members of \\axiom{\\spad{lts}}.")) (|reduceByQuasiMonic| ((|#4| |#4| $) "\\axiom{reduceByQuasiMonic(\\spad{p},{}\\spad{ts})} returns the same as \\axiom{remainder(\\spad{p},{}collectQuasiMonic(\\spad{ts})).polnum}.")) (|collectQuasiMonic| (($ $) "\\axiom{collectQuasiMonic(\\spad{ts})} returns the subset of \\axiom{\\spad{ts}} consisting of the polynomials with initial in \\axiom{\\spad{R}}.")) (|removeZero| ((|#4| |#4| $) "\\axiom{removeZero(\\spad{p},{}\\spad{ts})} returns \\axiom{0} if \\axiom{\\spad{p}} reduces to \\axiom{0} by pseudo-division \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{ts}} otherwise returns a polynomial \\axiom{\\spad{q}} computed from \\axiom{\\spad{p}} by removing any coefficient in \\axiom{\\spad{p}} reducing to \\axiom{0}.")) (|initiallyReduce| ((|#4| |#4| $) "\\axiom{initiallyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|headReduce| ((|#4| |#4| $) "\\axiom{headReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduce?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|stronglyReduce| ((|#4| |#4| $) "\\axiom{stronglyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{stronglyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|rewriteSetWithReduction| (((|List| |#4|) (|List| |#4|) $ (|Mapping| |#4| |#4| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{rewriteSetWithReduction(\\spad{lp},{}\\spad{ts},{}redOp,{}redOp?)} returns a list \\axiom{\\spad{lq}} of polynomials such that \\axiom{[reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?) for \\spad{p} in \\spad{lp}]} and \\axiom{\\spad{lp}} have the same zeros inside the regular zero set of \\axiom{\\spad{ts}}. Moreover,{} for every polynomial \\axiom{\\spad{q}} in \\axiom{\\spad{lq}} and every polynomial \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{q},{}\\spad{t})} holds and there exists a polynomial \\axiom{\\spad{p}} in the ideal generated by \\axiom{\\spad{lp}} and a product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|reduce| ((|#4| |#4| $ (|Mapping| |#4| |#4| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{redOp?(\\spad{r},{}\\spad{p})} holds for every \\axiom{\\spad{p}} of \\axiom{\\spad{ts}} and there exists some product \\axiom{\\spad{h}} of the initials of the members of \\axiom{\\spad{ts}} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|autoReduced?| (((|Boolean|) $ (|Mapping| (|Boolean|) |#4| (|List| |#4|))) "\\axiom{autoReduced?(\\spad{ts},{}redOp?)} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to every other in the sense of \\axiom{redOp?}")) (|initiallyReduced?| (((|Boolean|) $) "\\spad{initiallyReduced?(ts)} returns \\spad{true} iff for every element \\axiom{\\spad{p}} of \\axiom{\\spad{ts}}. \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the other elements of \\axiom{\\spad{ts}} with the same main variable.") (((|Boolean|) |#4| $) "\\axiom{initiallyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the elements of \\axiom{\\spad{ts}} with the same main variable.")) (|headReduced?| (((|Boolean|) $) "\\spad{headReduced?(ts)} returns \\spad{true} iff the head of every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#4| $) "\\axiom{headReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff the head of \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|stronglyReduced?| (((|Boolean|) $) "\\axiom{stronglyReduced?(\\spad{ts})} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#4| $) "\\axiom{stronglyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|reduced?| (((|Boolean|) |#4| $ (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{reduced?(\\spad{p},{}\\spad{ts},{}redOp?)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}.in the sense of the operation \\axiom{redOp?},{} that is if for every \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{p},{}\\spad{t})} holds.")) (|normalized?| (((|Boolean|) $) "\\axiom{normalized?(\\spad{ts})} returns \\spad{true} iff for every axiom{\\spad{p}} in \\axiom{\\spad{ts}} we have \\axiom{normalized?(\\spad{p},{}us)} where \\axiom{us} is \\axiom{collectUnder(\\spad{ts},{}mvar(\\spad{p}))}.") (((|Boolean|) |#4| $) "\\axiom{normalized?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variables of the polynomials of \\axiom{\\spad{ts}}")) (|quasiComponent| (((|Record| (|:| |close| (|List| |#4|)) (|:| |open| (|List| |#4|))) $) "\\axiom{quasiComponent(\\spad{ts})} returns \\axiom{[\\spad{lp},{}\\spad{lq}]} where \\axiom{\\spad{lp}} is the list of the members of \\axiom{\\spad{ts}} and \\axiom{\\spad{lq}}is \\axiom{initials(\\spad{ts})}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{ts})} returns the product of main degrees of the members of \\axiom{\\spad{ts}}.")) (|initials| (((|List| |#4|) $) "\\axiom{initials(\\spad{ts})} returns the list of the non-constant initials of the members of \\axiom{\\spad{ts}}.")) (|basicSet| (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{basicSet(\\spad{ps},{}pred?,{}redOp?)} returns the same as \\axiom{basicSet(\\spad{qs},{}redOp?)} where \\axiom{\\spad{qs}} consists of the polynomials of \\axiom{\\spad{ps}} satisfying property \\axiom{pred?}.") (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{basicSet(\\spad{ps},{}redOp?)} returns \\axiom{[\\spad{bs},{}\\spad{ts}]} where \\axiom{concat(\\spad{bs},{}\\spad{ts})} is \\axiom{\\spad{ps}} and \\axiom{\\spad{bs}} is a basic set in Wu Wen Tsun sense of \\axiom{\\spad{ps}} \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?},{} if no non-zero constant polynomial lie in \\axiom{\\spad{ps}},{} otherwise \\axiom{\"failed\"} is returned.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1190 |Coef|) 
+(-1192 |Coef|) 
 ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|Mapping| $) (|Symbol|) |#1|) "\\spad{fintegrate(f,{}v,{}c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ (|Symbol|) |#1|) "\\spad{integrate(s,{}v,{}c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(s)} regroups terms of \\spad{s} by total degree \\indented{1}{and forms a series.}") (($ (|Symbol|)) "\\spad{coerce(s)} converts a variable to a Taylor series")) (|coefficient| (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{coefficient(s,{} n)} gives the terms of total degree \\spad{n}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-150))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-558))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-1191 |Curve|) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-151))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-559))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-1193 |Curve|) 
 ((|constructor| (NIL "Package for constructing tubes around 3-dimensional parametric curves. Domain of tubes around 3-dimensional parametric curves.")) (|tube| (($ |#1| (|List| (|List| (|Point| (|DoubleFloat|)))) (|Boolean|)) "\\spad{tube(c,{}ll,{}b)} creates a tube of the domain \\spadtype{TubePlot} from a space curve \\spad{c} of the category \\spadtype{PlottableSpaceCurveCategory},{} a list of lists of points (loops) \\spad{ll} and a boolean \\spad{b} which if \\spad{true} indicates a closed tube,{} or if \\spad{false} an open tube.")) (|setClosed| (((|Boolean|) $ (|Boolean|)) "\\spad{setClosed(t,{}b)} declares the given tube plot \\spad{t} to be closed if \\spad{b} is \\spad{true},{} or if \\spad{b} is \\spad{false},{} \\spad{t} is set to be open.")) (|open?| (((|Boolean|) $) "\\spad{open?(t)} tests whether the given tube plot \\spad{t} is open.")) (|closed?| (((|Boolean|) $) "\\spad{closed?(t)} tests whether the given tube plot \\spad{t} is closed.")) (|listLoops| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listLoops(t)} returns the list of lists of points,{} or the 'loops',{} of the given tube plot \\spad{t}.")) (|getCurve| ((|#1| $) "\\spad{getCurve(t)} returns the \\spadtype{PlottableSpaceCurveCategory} representing the parametric curve of the given tube plot \\spad{t}."))) 
 NIL 
 NIL 
-(-1192) 
+(-1194) 
 ((|constructor| (NIL "Tools for constructing tubes around 3-dimensional parametric curves.")) (|loopPoints| (((|List| (|Point| (|DoubleFloat|))) (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|List| (|List| (|DoubleFloat|)))) "\\spad{loopPoints(p,{}n,{}b,{}r,{}lls)} creates and returns a list of points which form the loop with radius \\spad{r},{} around the center point indicated by the point \\spad{p},{} with the principal normal vector of the space curve at point \\spad{p} given by the point(vector) \\spad{n},{} and the binormal vector given by the point(vector) \\spad{b},{} and a list of lists,{} \\spad{lls},{} which is the \\spadfun{cosSinInfo} of the number of points defining the loop.")) (|cosSinInfo| (((|List| (|List| (|DoubleFloat|))) (|Integer|)) "\\spad{cosSinInfo(n)} returns the list of lists of values for \\spad{n},{} in the form \\spad{[[cos(n-1) a,{}sin(n-1) a],{}...,{}[cos 2 a,{}sin 2 a],{}[cos a,{}sin a]]} where \\spad{a = 2 pi/n}. Note that \\spad{n} should be greater than 2.")) (|unitVector| (((|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))) "\\spad{unitVector(p)} creates the unit vector of the point \\spad{p} and returns the result as a point. Note that \\spad{unitVector(p) = p/|p|}.")) (|cross| (((|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))) "\\spad{cross(p,{}q)} computes the cross product of the two points \\spad{p} and \\spad{q} using only the first three coordinates,{} and keeping the color of the first point \\spad{p}. The result is returned as a point.")) (|dot| (((|DoubleFloat|) (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))) "\\spad{dot(p,{}q)} computes the dot product of the two points \\spad{p} and \\spad{q} using only the first three coordinates,{} and returns the resulting \\spadtype{DoubleFloat}.")) (- (((|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))) "\\spad{p - q} computes and returns a point whose coordinates are the differences of the coordinates of two points \\spad{p} and \\spad{q},{} using the color,{} or fourth coordinate,{} of the first point \\spad{p} as the color also of the point \\spad{q}.")) (+ (((|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|)) (|Point| (|DoubleFloat|))) "\\spad{p + q} computes and returns a point whose coordinates are the sums of the coordinates of the two points \\spad{p} and \\spad{q},{} using the color,{} or fourth coordinate,{} of the first point \\spad{p} as the color also of the point \\spad{q}.")) (* (((|Point| (|DoubleFloat|)) (|DoubleFloat|) (|Point| (|DoubleFloat|))) "\\spad{s * p} returns a point whose coordinates are the scalar multiple of the point \\spad{p} by the scalar \\spad{s},{} preserving the color,{} or fourth coordinate,{} of \\spad{p}.")) (|point| (((|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{point(x1,{}x2,{}x3,{}c)} creates and returns a point from the three specified coordinates \\spad{x1},{} \\spad{x2},{} \\spad{x3},{} and also a fourth coordinate,{} \\spad{c},{} which is generally used to specify the color of the point."))) 
 NIL 
 NIL 
-(-1193 S) 
+(-1195 S) 
 ((|constructor| (NIL "This domain is used to interface with the interpreter\\spad{'s} notion of comma-delimited sequences of values.")) (|length| (((|NonNegativeInteger|) $) "\\indented{1}{length(\\spad{x}) returns the number of elements in tuple \\spad{x}} \\blankline \\spad{X} t1:PrimitiveArray(Integer)\\spad{:=} [\\spad{i} for \\spad{i} in 1..10] \\spad{X} t2:=coerce(\\spad{t1})\\$Tuple(Integer) \\spad{X} length(\\spad{t2})")) (|select| ((|#1| $ (|NonNegativeInteger|)) "\\indented{1}{select(\\spad{x},{}\\spad{n}) returns the \\spad{n}-th element of tuple \\spad{x}.} \\indented{1}{tuples are 0-based} \\blankline \\spad{X} t1:PrimitiveArray(Integer)\\spad{:=} [\\spad{i} for \\spad{i} in 1..10] \\spad{X} t2:=coerce(\\spad{t1})\\$Tuple(Integer) \\spad{X} select(\\spad{t2},{}3)")) (|coerce| (($ (|PrimitiveArray| |#1|)) "\\indented{1}{coerce(a) makes a tuple from primitive array a} \\blankline \\spad{X} t1:PrimitiveArray(Integer)\\spad{:=} [\\spad{i} for \\spad{i} in 1..10] \\spad{X} t2:=coerce(\\spad{t1})\\$Tuple(Integer)"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-1090)))) 
-(-1194 -1478) 
+((|HasCategory| |#1| (QUOTE (-1091)))) 
+(-1196 -1564) 
 ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,{}n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) 
 NIL 
 NIL 
-(-1195) 
+(-1197) 
 ((|constructor| (NIL "The fundamental Type."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-1196 S) 
+(-1198) 
+((|constructor| (NIL "This is a low-level domain which implements vectors (one dimensional arrays) of unsigned 32-bit numbers. Indexing is 0 based,{} there is no bound checking (unless provided by lower level)."))) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| (-569) (QUOTE (-1091))) (|HasCategory| (-569) (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| (-569) (QUOTE (-843))) (-2232 (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| (-569) (QUOTE (-1091)))) (-12 (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-843)))) (-12 (|HasCategory| (-569) (LIST (QUOTE -304) (QUOTE (-569)))) (|HasCategory| (-569) (QUOTE (-1091)))))) 
+(-1199 S) 
 ((|constructor| (NIL "Provides functions to force a partial ordering on any set.")) (|more?| (((|Boolean|) |#1| |#1|) "\\spad{more?(a,{} b)} compares a and \\spad{b} in the partial ordering induced by setOrder,{} and uses the ordering on \\spad{S} if a and \\spad{b} are not comparable in the partial ordering.")) (|userOrdered?| (((|Boolean|)) "\\spad{userOrdered?()} tests if the partial ordering induced by setOrder is not empty.")) (|largest| ((|#1| (|List| |#1|)) "\\spad{largest l} returns the largest element of \\spad{l} where the partial ordering induced by setOrder is completed into a total one by the ordering on \\spad{S}.") ((|#1| (|List| |#1|) (|Mapping| (|Boolean|) |#1| |#1|)) "\\spad{largest(l,{} fn)} returns the largest element of \\spad{l} where the partial ordering induced by setOrder is completed into a total one by \\spad{fn}.")) (|less?| (((|Boolean|) |#1| |#1| (|Mapping| (|Boolean|) |#1| |#1|)) "\\spad{less?(a,{} b,{} fn)} compares \\spad{a} and \\spad{b} in the partial ordering induced by setOrder,{} and returns \\spad{fn(a,{} b)} if \\spad{a} and \\spad{b} are not comparable in that ordering.") (((|Union| (|Boolean|) "failed") |#1| |#1|) "\\spad{less?(a,{} b)} compares \\spad{a} and \\spad{b} in the partial ordering induced by setOrder.")) (|getOrder| (((|Record| (|:| |low| (|List| |#1|)) (|:| |high| (|List| |#1|)))) "\\spad{getOrder()} returns \\spad{[[b1,{}...,{}bm],{} [a1,{}...,{}an]]} such that the partial ordering on \\spad{S} was given by \\spad{setOrder([b1,{}...,{}bm],{}[a1,{}...,{}an])}.")) (|setOrder| (((|Void|) (|List| |#1|) (|List| |#1|)) "\\spad{setOrder([b1,{}...,{}bm],{} [a1,{}...,{}an])} defines a partial ordering on \\spad{S} given \\spad{by:} \\indented{3}{(1)\\space{2}\\spad{b1 < b2 < ... < bm < a1 < a2 < ... < an}.} \\indented{3}{(2)\\space{2}\\spad{bj < c < \\spad{ai}}\\space{2}for \\spad{c} not among the \\spad{ai}\\spad{'s} and \\spad{bj}\\spad{'s}.} \\indented{3}{(3)\\space{2}undefined on \\spad{(c,{}d)} if neither is among the \\spad{ai}\\spad{'s},{}\\spad{bj}\\spad{'s}.}") (((|Void|) (|List| |#1|)) "\\spad{setOrder([a1,{}...,{}an])} defines a partial ordering on \\spad{S} given \\spad{by:} \\indented{3}{(1)\\space{2}\\spad{a1 < a2 < ... < an}.} \\indented{3}{(2)\\space{2}\\spad{b < \\spad{ai}\\space{3}for i = 1..n} and \\spad{b} not among the \\spad{ai}\\spad{'s}.} \\indented{3}{(3)\\space{2}undefined on \\spad{(b,{} c)} if neither is among the \\spad{ai}\\spad{'s}.}"))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-842)))) 
-(-1197) 
+((|HasCategory| |#1| (QUOTE (-843)))) 
+(-1200) 
 ((|constructor| (NIL "This packages provides functions to allow the user to select the ordering on the variables and operators for displaying polynomials,{} fractions and expressions. The ordering affects the display only and not the computations.")) (|resetVariableOrder| (((|Void|)) "\\spad{resetVariableOrder()} cancels any previous use of setVariableOrder and returns to the default system ordering.")) (|getVariableOrder| (((|Record| (|:| |high| (|List| (|Symbol|))) (|:| |low| (|List| (|Symbol|))))) "\\spad{getVariableOrder()} returns \\spad{[[b1,{}...,{}bm],{} [a1,{}...,{}an]]} such that the ordering on the variables was given by \\spad{setVariableOrder([b1,{}...,{}bm],{} [a1,{}...,{}an])}.")) (|setVariableOrder| (((|Void|) (|List| (|Symbol|)) (|List| (|Symbol|))) "\\spad{setVariableOrder([b1,{}...,{}bm],{} [a1,{}...,{}an])} defines an ordering on the variables given by \\spad{b1 > b2 > ... > bm >} other variables \\spad{> a1 > a2 > ... > an}.") (((|Void|) (|List| (|Symbol|))) "\\spad{setVariableOrder([a1,{}...,{}an])} defines an ordering on the variables given by \\spad{a1 > a2 > ... > an > other variables}."))) 
 NIL 
 NIL 
-(-1198 S) 
+(-1201 S) 
 ((|constructor| (NIL "A constructive unique factorization domain,{} \\spadignore{i.e.} where we can constructively factor members into a product of a finite number of irreducible elements.")) (|factor| (((|Factored| $) $) "\\spad{factor(x)} returns the factorization of \\spad{x} into irreducibles.")) (|squareFreePart| (($ $) "\\spad{squareFreePart(x)} returns a product of prime factors of \\spad{x} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns the square-free factorization of \\spad{x} \\spadignore{i.e.} such that the factors are pairwise relatively prime and each has multiple prime factors.")) (|prime?| (((|Boolean|) $) "\\spad{prime?(x)} tests if \\spad{x} can never be written as the product of two non-units of the ring,{} \\spadignore{i.e.} \\spad{x} is an irreducible element."))) 
 NIL 
 NIL 
-(-1199) 
+(-1202) 
 ((|constructor| (NIL "A constructive unique factorization domain,{} \\spadignore{i.e.} where we can constructively factor members into a product of a finite number of irreducible elements.")) (|factor| (((|Factored| $) $) "\\spad{factor(x)} returns the factorization of \\spad{x} into irreducibles.")) (|squareFreePart| (($ $) "\\spad{squareFreePart(x)} returns a product of prime factors of \\spad{x} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns the square-free factorization of \\spad{x} \\spadignore{i.e.} such that the factors are pairwise relatively prime and each has multiple prime factors.")) (|prime?| (((|Boolean|) $) "\\spad{prime?(x)} tests if \\spad{x} can never be written as the product of two non-units of the ring,{} \\spadignore{i.e.} \\spad{x} is an irreducible element."))) 
-((-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
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-(-1200 |Coef|) 
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 ((|constructor| (NIL "This package has no description"))) 
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 ((|constructor| (NIL "This domain has no description"))) 
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 ((|constructor| (NIL "Mapping package for univariate Laurent series This package allows one to apply a function to the coefficients of a univariate Laurent series.")) (|map| (((|UnivariateLaurentSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariateLaurentSeries| |#1| |#3| |#5|)) "\\spad{map(f,{}g(x))} applies the map \\spad{f} to the coefficients of the Laurent series \\spad{g(x)}."))) 
 NIL 
 NIL 
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 ((|constructor| (NIL "\\spadtype{UnivariateLaurentSeriesCategory} is the category of Laurent series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 1. We may integrate a series when we can divide coefficients by integers.")) (|rationalFunction| (((|Fraction| (|Polynomial| |#1|)) $ (|Integer|) (|Integer|)) "\\spad{rationalFunction(f,{}k1,{}k2)} returns a rational function consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Fraction| (|Polynomial| |#1|)) $ (|Integer|)) "\\spad{rationalFunction(f,{}k)} returns a rational function consisting of the sum of all terms of \\spad{f} of degree \\spad{<=} \\spad{k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = n0..infinity,{}a[n] * x**n)) = sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Puiseux series are represented by a Laurent series and an exponent.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1204 S |Coef| UTS) 
+(-1207 S |Coef| UTS) 
 ((|constructor| (NIL "This is a category of univariate Laurent series constructed from univariate Taylor series. A Laurent series is represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")) (|taylorIfCan| (((|Union| |#3| "failed") $) "\\spad{taylorIfCan(f(x))} converts the Laurent series \\spad{f(x)} to a Taylor series,{} if possible. If this is not possible,{} \"failed\" is returned.")) (|taylor| ((|#3| $) "\\spad{taylor(f(x))} converts the Laurent series \\spad{f}(\\spad{x}) to a Taylor series,{} if possible. Error: if this is not possible.")) (|coerce| (($ |#3|) "\\spad{coerce(f(x))} converts the Taylor series \\spad{f(x)} to a Laurent series.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,{}f(x))} removes up to \\spad{n} leading zeroes from the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable.") (($ $) "\\spad{removeZeroes(f(x))} removes leading zeroes from the representation of the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable. Note that \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}")) (|taylorRep| ((|#3| $) "\\spad{taylorRep(f(x))} returns \\spad{g(x)},{} where \\spad{f = x**n * g(x)} is represented by \\spad{[n,{}g(x)]}.")) (|degree| (((|Integer|) $) "\\spad{degree(f(x))} returns the degree of the lowest order term of \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurent| (($ (|Integer|) |#3|) "\\spad{laurent(n,{}f(x))} returns \\spad{x**n * f(x)}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-365)))) 
-(-1205 |Coef| UTS) 
+((|HasCategory| |#2| (QUOTE (-366)))) 
+(-1208 |Coef| UTS) 
 ((|constructor| (NIL "This is a category of univariate Laurent series constructed from univariate Taylor series. A Laurent series is represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")) (|taylorIfCan| (((|Union| |#2| "failed") $) "\\spad{taylorIfCan(f(x))} converts the Laurent series \\spad{f(x)} to a Taylor series,{} if possible. If this is not possible,{} \"failed\" is returned.")) (|taylor| ((|#2| $) "\\spad{taylor(f(x))} converts the Laurent series \\spad{f}(\\spad{x}) to a Taylor series,{} if possible. Error: if this is not possible.")) (|coerce| (($ |#2|) "\\spad{coerce(f(x))} converts the Taylor series \\spad{f(x)} to a Laurent series.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,{}f(x))} removes up to \\spad{n} leading zeroes from the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable.") (($ $) "\\spad{removeZeroes(f(x))} removes leading zeroes from the representation of the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable. Note that \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}")) (|taylorRep| ((|#2| $) "\\spad{taylorRep(f(x))} returns \\spad{g(x)},{} where \\spad{f = x**n * g(x)} is represented by \\spad{[n,{}g(x)]}.")) (|degree| (((|Integer|) $) "\\spad{degree(f(x))} returns the degree of the lowest order term of \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurent| (($ (|Integer|) |#2|) "\\spad{laurent(n,{}f(x))} returns \\spad{x**n * f(x)}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-3973 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
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 NIL 
-(-1206 |Coef| UTS) 
+(-1209 |Coef| UTS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
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+(-1210 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Laurent series in one variable \\spadtype{UnivariateLaurentSeries} is a domain representing Laurent series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spad{UnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent series in \\spad{(x - 3)} with integer coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
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-(-1208 ZP) 
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|#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))) (-2232 (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-366)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569)))))) (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-366)))) (-2232 (-12 (|HasCategory| $ (QUOTE (-149))) (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-366)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-366)))) (|HasCategory| |#1| (QUOTE (-149))))) 
+(-1211 ZP) 
 ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) 
 NIL 
 NIL 
-(-1209 R S) 
+(-1212 R S) 
 ((|constructor| (NIL "This package provides operations for mapping functions onto segments.")) (|map| (((|Stream| |#2|) (|Mapping| |#2| |#1|) (|UniversalSegment| |#1|)) "\\spad{map(f,{}s)} expands the segment \\spad{s},{} applying \\spad{f} to each value.") (((|UniversalSegment| |#2|) (|Mapping| |#2| |#1|) (|UniversalSegment| |#1|)) "\\spad{map(f,{}seg)} returns the new segment obtained by applying \\spad{f} to the endpoints of \\spad{seg}."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-840)))) 
-(-1210 S) 
+((|HasCategory| |#1| (QUOTE (-841)))) 
+(-1213 S) 
 ((|constructor| (NIL "This domain provides segments which may be half open. That is,{} ranges of the form \\spad{a..} or \\spad{a..b}.")) (|hasHi| (((|Boolean|) $) "\\spad{hasHi(s)} tests whether the segment \\spad{s} has an upper bound.")) (|coerce| (($ (|Segment| |#1|)) "\\spad{coerce(x)} allows \\spadtype{Segment} values to be used as \\%.")) (|segment| (($ |#1|) "\\spad{segment(l)} is an alternate way to construct the segment \\spad{l..}.")) (SEGMENT (($ |#1|) "\\spad{l..} produces a half open segment,{} that is,{} one with no upper bound."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (QUOTE (-1090)))) 
-(-1211 |x| R |y| S) 
+((|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-1091)))) 
+(-1214 |x| R |y| S) 
 ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from \\spadtype{UnivariatePolynomial}(\\spad{x},{}\\spad{R}) to \\spadtype{UnivariatePolynomial}(\\spad{y},{}\\spad{S}). Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|UnivariatePolynomial| |#3| |#4|) (|Mapping| |#4| |#2|) (|UnivariatePolynomial| |#1| |#2|)) "\\spad{map(func,{} poly)} creates a new polynomial by applying \\spad{func} to every non-zero coefficient of the polynomial poly."))) 
 NIL 
 NIL 
-(-1212 R Q UP) 
+(-1215 R Q UP) 
 ((|constructor| (NIL "UnivariatePolynomialCommonDenominator provides functions to compute the common denominator of the coefficients of univariate polynomials over the quotient field of a \\spad{gcd} domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator(q)} returns \\spad{[p,{} d]} such that \\spad{q = p/d} and \\spad{d} is a common denominator for the coefficients of \\spad{q}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator(q)} returns \\spad{p} such that \\spad{q = p/d} where \\spad{d} is a common denominator for the coefficients of \\spad{q}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator(q)} returns a common denominator \\spad{d} for the coefficients of \\spad{q}."))) 
 NIL 
 NIL 
-(-1213 R UP) 
+(-1216 R UP) 
 ((|constructor| (NIL "UnivariatePolynomialDecompositionPackage implements functional decomposition of univariate polynomial with coefficients in an \\spad{IntegralDomain} of \\spad{CharacteristicZero}.")) (|monicCompleteDecompose| (((|List| |#2|) |#2|) "\\spad{monicCompleteDecompose(f)} returns a list of factors of \\spad{f} for the functional decomposition ([ \\spad{f1},{} ...,{} \\spad{fn} ] means \\spad{f} = \\spad{f1} \\spad{o} ... \\spad{o} \\spad{fn}).")) (|monicDecomposeIfCan| (((|Union| (|Record| (|:| |left| |#2|) (|:| |right| |#2|)) "failed") |#2|) "\\spad{monicDecomposeIfCan(f)} returns a functional decomposition of the monic polynomial \\spad{f} of \"failed\" if it has not found any.")) (|leftFactorIfCan| (((|Union| |#2| "failed") |#2| |#2|) "\\spad{leftFactorIfCan(f,{}h)} returns the left factor (\\spad{g} in \\spad{f} = \\spad{g} \\spad{o} \\spad{h}) of the functional decomposition of the polynomial \\spad{f} with given \\spad{h} or \\spad{\"failed\"} if \\spad{g} does not exist.")) (|rightFactorIfCan| (((|Union| |#2| "failed") |#2| (|NonNegativeInteger|) |#1|) "\\spad{rightFactorIfCan(f,{}d,{}c)} returns a candidate to be the right factor (\\spad{h} in \\spad{f} = \\spad{g} \\spad{o} \\spad{h}) of degree \\spad{d} with leading coefficient \\spad{c} of a functional decomposition of the polynomial \\spad{f} or \\spad{\"failed\"} if no such candidate.")) (|monicRightFactorIfCan| (((|Union| |#2| "failed") |#2| (|NonNegativeInteger|)) "\\spad{monicRightFactorIfCan(f,{}d)} returns a candidate to be the monic right factor (\\spad{h} in \\spad{f} = \\spad{g} \\spad{o} \\spad{h}) of degree \\spad{d} of a functional decomposition of the polynomial \\spad{f} or \\spad{\"failed\"} if no such candidate."))) 
 NIL 
 NIL 
-(-1214 R UP) 
+(-1217 R UP) 
 ((|constructor| (NIL "UnivariatePolynomialDivisionPackage provides a division for non monic univarite polynomials with coefficients in an \\spad{IntegralDomain}.")) (|divideIfCan| (((|Union| (|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) "failed") |#2| |#2|) "\\spad{divideIfCan(f,{}g)} returns quotient and remainder of the division of \\spad{f} by \\spad{g} or \"failed\" if it has not succeeded."))) 
 NIL 
 NIL 
-(-1215 R U) 
+(-1218 R U) 
 ((|constructor| (NIL "This package implements Karatsuba\\spad{'s} trick for multiplying (large) univariate polynomials. It could be improved with a version doing the work on place and also with a special case for squares. We've done this in Basicmath,{} but we believe that this out of the scope of AXIOM.")) (|karatsuba| ((|#2| |#2| |#2| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{karatsuba(a,{}b,{}l,{}k)} returns \\spad{a*b} by applying Karatsuba\\spad{'s} trick provided that both \\spad{a} and \\spad{b} have at least \\spad{l} terms and \\spad{k > 0} holds and by calling \\spad{noKaratsuba} otherwise. The other multiplications are performed by recursive calls with the same third argument and \\spad{k-1} as fourth argument.")) (|karatsubaOnce| ((|#2| |#2| |#2|) "\\spad{karatsuba(a,{}b)} returns \\spad{a*b} by applying Karatsuba\\spad{'s} trick once. The other multiplications are performed by calling \\spad{*} from \\spad{U}.")) (|noKaratsuba| ((|#2| |#2| |#2|) "\\spad{noKaratsuba(a,{}b)} returns \\spad{a*b} without using Karatsuba\\spad{'s} trick at all."))) 
 NIL 
 NIL 
-(-1216 |x| R) 
+(-1219 |x| R) 
 ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented. Note that if the coefficient ring is a field,{} then this domain forms a euclidean domain.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{x} : \\spad{p1} - \\spad{r} * x**e * \\spad{p2}")) (|coerce| (($ (|Variable| |#1|)) "\\spad{coerce(x)} converts the variable \\spad{x} to a univariate polynomial."))) 
-(((-4523 "*") |has| |#2| (-172)) (-4514 |has| |#2| (-558)) (-4517 |has| |#2| (-365)) (-4519 |has| |#2| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
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-(-1217 R PR S PS) 
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+(-1220 R PR S PS) 
 ((|constructor| (NIL "Mapping from polynomials over \\spad{R} to polynomials over \\spad{S} given a map from \\spad{R} to \\spad{S} assumed to send zero to zero.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,{} p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note that since the map is not applied to zero elements,{} it may map zero to zero."))) 
 NIL 
 NIL 
-(-1218 S R) 
+(-1221 S R) 
 ((|constructor| (NIL "The category of univariate polynomials over a ring \\spad{R}. No particular model is assumed - implementations can be either sparse or dense.")) (|integrate| (($ $) "\\spad{integrate(p)} integrates the univariate polynomial \\spad{p} with respect to its distinguished variable.")) (|additiveValuation| ((|attribute|) "euclideanSize(a*b) = euclideanSize(a) + euclideanSize(\\spad{b})")) (|separate| (((|Record| (|:| |primePart| $) (|:| |commonPart| $)) $ $) "\\spad{separate(p,{} q)} returns \\spad{[a,{} b]} such that polynomial \\spad{p = a b} and \\spad{a} is relatively prime to \\spad{q}.")) (|pseudoDivide| (((|Record| (|:| |coef| |#2|) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{pseudoDivide(p,{}q)} returns \\spad{[c,{} q,{} r]},{} when \\spad{p' := p*lc(q)**(deg p - deg q + 1) = c * p} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|pseudoQuotient| (($ $ $) "\\spad{pseudoQuotient(p,{}q)} returns \\spad{r},{} the quotient when \\spad{p' := p*lc(q)**(deg p - deg q + 1)} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|composite| (((|Union| (|Fraction| $) "failed") (|Fraction| $) $) "\\spad{composite(f,{} q)} returns \\spad{h} if \\spad{f} = \\spad{h}(\\spad{q}),{} and \"failed\" is no such \\spad{h} exists.") (((|Union| $ "failed") $ $) "\\spad{composite(p,{} q)} returns \\spad{h} if \\spad{p = h(q)},{} and \"failed\" no such \\spad{h} exists.")) (|subResultantGcd| (($ $ $) "\\spad{subResultantGcd(p,{}q)} computes the \\spad{gcd} of the polynomials \\spad{p} and \\spad{q} using the SubResultant \\spad{GCD} algorithm.")) (|order| (((|NonNegativeInteger|) $ $) "\\spad{order(p,{} q)} returns the largest \\spad{n} such that \\spad{q**n} divides polynomial \\spad{p} \\spadignore{i.e.} the order of \\spad{p(x)} at \\spad{q(x)=0}.")) (|elt| ((|#2| (|Fraction| $) |#2|) "\\spad{elt(a,{}r)} evaluates the fraction of univariate polynomials \\spad{a} with the distinguished variable replaced by the constant \\spad{r}.") (((|Fraction| $) (|Fraction| $) (|Fraction| $)) "\\spad{elt(a,{}b)} evaluates the fraction of univariate polynomials \\spad{a} with the distinguished variable replaced by \\spad{b}.")) (|resultant| ((|#2| $ $) "\\spad{resultant(p,{}q)} returns the resultant of the polynomials \\spad{p} and \\spad{q}.")) (|discriminant| ((|#2| $) "\\spad{discriminant(p)} returns the discriminant of the polynomial \\spad{p}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|) $) "\\spad{differentiate(p,{} d,{} x')} extends the \\spad{R}-derivation \\spad{d} to an extension \\spad{D} in \\spad{R[x]} where \\spad{Dx} is given by \\spad{x'},{} and returns \\spad{Dp}.")) (|pseudoRemainder| (($ $ $) "\\spad{pseudoRemainder(p,{}q)} = \\spad{r},{} for polynomials \\spad{p} and \\spad{q},{} returns the remainder when \\spad{p' := p*lc(q)**(deg p - deg q + 1)} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|shiftLeft| (($ $ (|NonNegativeInteger|)) "\\spad{shiftLeft(p,{}n)} returns \\spad{p * monomial(1,{}n)}")) (|shiftRight| (($ $ (|NonNegativeInteger|)) "\\spad{shiftRight(p,{}n)} returns \\spad{monicDivide(p,{}monomial(1,{}n)).quotient}")) (|karatsubaDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ (|NonNegativeInteger|)) "\\spad{karatsubaDivide(p,{}n)} returns the same as \\spad{monicDivide(p,{}monomial(1,{}n))}")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicDivide(p,{}q)} divide the polynomial \\spad{p} by the monic polynomial \\spad{q},{} returning the pair \\spad{[quotient,{} remainder]}. Error: if \\spad{q} isn\\spad{'t} monic.")) (|divideExponents| (((|Union| $ "failed") $ (|NonNegativeInteger|)) "\\spad{divideExponents(p,{}n)} returns a new polynomial resulting from dividing all exponents of the polynomial \\spad{p} by the non negative integer \\spad{n},{} or \"failed\" if some exponent is not exactly divisible by \\spad{n}.")) (|multiplyExponents| (($ $ (|NonNegativeInteger|)) "\\spad{multiplyExponents(p,{}n)} returns a new polynomial resulting from multiplying all exponents of the polynomial \\spad{p} by the non negative integer \\spad{n}.")) (|unmakeSUP| (($ (|SparseUnivariatePolynomial| |#2|)) "\\spad{unmakeSUP(sup)} converts \\spad{sup} of type \\spadtype{SparseUnivariatePolynomial(R)} to be a member of the given type. Note that converse of makeSUP.")) (|makeSUP| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{makeSUP(p)} converts the polynomial \\spad{p} to be of type SparseUnivariatePolynomial over the same coefficients.")) (|vectorise| (((|Vector| |#2|) $ (|NonNegativeInteger|)) "\\spad{vectorise(p,{} n)} returns \\spad{[a0,{}...,{}a(n-1)]} where \\spad{p = a0 + a1*x + ... + a(n-1)*x**(n-1)} + higher order terms. The degree of polynomial \\spad{p} can be different from \\spad{n-1}."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-365))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-1136)))) 
-(-1219 R) 
+((|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-366))) (|HasCategory| |#2| (QUOTE (-454))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (QUOTE (-1137)))) 
+(-1222 R) 
 ((|constructor| (NIL "The category of univariate polynomials over a ring \\spad{R}. No particular model is assumed - implementations can be either sparse or dense.")) (|integrate| (($ $) "\\spad{integrate(p)} integrates the univariate polynomial \\spad{p} with respect to its distinguished variable.")) (|additiveValuation| ((|attribute|) "euclideanSize(a*b) = euclideanSize(a) + euclideanSize(\\spad{b})")) (|separate| (((|Record| (|:| |primePart| $) (|:| |commonPart| $)) $ $) "\\spad{separate(p,{} q)} returns \\spad{[a,{} b]} such that polynomial \\spad{p = a b} and \\spad{a} is relatively prime to \\spad{q}.")) (|pseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{pseudoDivide(p,{}q)} returns \\spad{[c,{} q,{} r]},{} when \\spad{p' := p*lc(q)**(deg p - deg q + 1) = c * p} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|pseudoQuotient| (($ $ $) "\\spad{pseudoQuotient(p,{}q)} returns \\spad{r},{} the quotient when \\spad{p' := p*lc(q)**(deg p - deg q + 1)} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|composite| (((|Union| (|Fraction| $) "failed") (|Fraction| $) $) "\\spad{composite(f,{} q)} returns \\spad{h} if \\spad{f} = \\spad{h}(\\spad{q}),{} and \"failed\" is no such \\spad{h} exists.") (((|Union| $ "failed") $ $) "\\spad{composite(p,{} q)} returns \\spad{h} if \\spad{p = h(q)},{} and \"failed\" no such \\spad{h} exists.")) (|subResultantGcd| (($ $ $) "\\spad{subResultantGcd(p,{}q)} computes the \\spad{gcd} of the polynomials \\spad{p} and \\spad{q} using the SubResultant \\spad{GCD} algorithm.")) (|order| (((|NonNegativeInteger|) $ $) "\\spad{order(p,{} q)} returns the largest \\spad{n} such that \\spad{q**n} divides polynomial \\spad{p} \\spadignore{i.e.} the order of \\spad{p(x)} at \\spad{q(x)=0}.")) (|elt| ((|#1| (|Fraction| $) |#1|) "\\spad{elt(a,{}r)} evaluates the fraction of univariate polynomials \\spad{a} with the distinguished variable replaced by the constant \\spad{r}.") (((|Fraction| $) (|Fraction| $) (|Fraction| $)) "\\spad{elt(a,{}b)} evaluates the fraction of univariate polynomials \\spad{a} with the distinguished variable replaced by \\spad{b}.")) (|resultant| ((|#1| $ $) "\\spad{resultant(p,{}q)} returns the resultant of the polynomials \\spad{p} and \\spad{q}.")) (|discriminant| ((|#1| $) "\\spad{discriminant(p)} returns the discriminant of the polynomial \\spad{p}.")) (|differentiate| (($ $ (|Mapping| |#1| |#1|) $) "\\spad{differentiate(p,{} d,{} x')} extends the \\spad{R}-derivation \\spad{d} to an extension \\spad{D} in \\spad{R[x]} where \\spad{Dx} is given by \\spad{x'},{} and returns \\spad{Dp}.")) (|pseudoRemainder| (($ $ $) "\\spad{pseudoRemainder(p,{}q)} = \\spad{r},{} for polynomials \\spad{p} and \\spad{q},{} returns the remainder when \\spad{p' := p*lc(q)**(deg p - deg q + 1)} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|shiftLeft| (($ $ (|NonNegativeInteger|)) "\\spad{shiftLeft(p,{}n)} returns \\spad{p * monomial(1,{}n)}")) (|shiftRight| (($ $ (|NonNegativeInteger|)) "\\spad{shiftRight(p,{}n)} returns \\spad{monicDivide(p,{}monomial(1,{}n)).quotient}")) (|karatsubaDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ (|NonNegativeInteger|)) "\\spad{karatsubaDivide(p,{}n)} returns the same as \\spad{monicDivide(p,{}monomial(1,{}n))}")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicDivide(p,{}q)} divide the polynomial \\spad{p} by the monic polynomial \\spad{q},{} returning the pair \\spad{[quotient,{} remainder]}. Error: if \\spad{q} isn\\spad{'t} monic.")) (|divideExponents| (((|Union| $ "failed") $ (|NonNegativeInteger|)) "\\spad{divideExponents(p,{}n)} returns a new polynomial resulting from dividing all exponents of the polynomial \\spad{p} by the non negative integer \\spad{n},{} or \"failed\" if some exponent is not exactly divisible by \\spad{n}.")) (|multiplyExponents| (($ $ (|NonNegativeInteger|)) "\\spad{multiplyExponents(p,{}n)} returns a new polynomial resulting from multiplying all exponents of the polynomial \\spad{p} by the non negative integer \\spad{n}.")) (|unmakeSUP| (($ (|SparseUnivariatePolynomial| |#1|)) "\\spad{unmakeSUP(sup)} converts \\spad{sup} of type \\spadtype{SparseUnivariatePolynomial(R)} to be a member of the given type. Note that converse of makeSUP.")) (|makeSUP| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{makeSUP(p)} converts the polynomial \\spad{p} to be of type SparseUnivariatePolynomial over the same coefficients.")) (|vectorise| (((|Vector| |#1|) $ (|NonNegativeInteger|)) "\\spad{vectorise(p,{} n)} returns \\spad{[a0,{}...,{}a(n-1)]} where \\spad{p = a0 + a1*x + ... + a(n-1)*x**(n-1)} + higher order terms. The degree of polynomial \\spad{p} can be different from \\spad{n-1}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4517 |has| |#1| (-365)) (-4519 |has| |#1| (-6 -4519)) (-4516 . T) (-4515 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4531 |has| |#1| (-366)) (-4533 |has| |#1| (-6 -4533)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-1220 S |Coef| |Expon|) 
+(-1223 S |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note that this category exports a substitution function if it is possible to multiply exponents. Also note that this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#2| $ |#3|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
 NIL 
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-(-1221 |Coef| |Expon|) 
+((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1103))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2185) (LIST (|devaluate| |#2|) (QUOTE (-1163)))))) 
+(-1224 |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note that this category exports a substitution function if it is possible to multiply exponents. Also note that this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#1| $ |#2|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1222 RC P) 
+(-1225 RC P) 
 ((|constructor| (NIL "This package provides for square-free decomposition of univariate polynomials over arbitrary rings,{} \\spadignore{i.e.} a partial factorization such that each factor is a product of irreducibles with multiplicity one and the factors are pairwise relatively prime. If the ring has characteristic zero,{} the result is guaranteed to satisfy this condition. If the ring is an infinite ring of finite characteristic,{} then it may not be possible to decide when polynomials contain factors which are \\spad{p}th powers. In this case,{} the flag associated with that polynomial is set to \"nil\" (meaning that that polynomials are not guaranteed to be square-free).")) (|BumInSepFFE| (((|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (|Integer|))) (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (|Integer|)))) "\\spad{BumInSepFFE(f)} is a local function,{} exported only because it has multiple conditional definitions.")) (|squareFreePart| ((|#2| |#2|) "\\spad{squareFreePart(p)} returns a polynomial which has the same irreducible factors as the univariate polynomial \\spad{p},{} but each factor has multiplicity one.")) (|squareFree| (((|Factored| |#2|) |#2|) "\\spad{squareFree(p)} computes the square-free factorization of the univariate polynomial \\spad{p}. Each factor has no repeated roots,{} and the factors are pairwise relatively prime.")) (|gcd| (($ $ $) "\\spad{gcd(p,{}q)} computes the greatest-common-divisor of \\spad{p} and \\spad{q}."))) 
 NIL 
 NIL 
-(-1223 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|) 
+(-1226 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|) 
 ((|constructor| (NIL "Mapping package for univariate Puiseux series. This package allows one to apply a function to the coefficients of a univariate Puiseux series.")) (|map| (((|UnivariatePuiseuxSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariatePuiseuxSeries| |#1| |#3| |#5|)) "\\spad{map(f,{}g(x))} applies the map \\spad{f} to the coefficients of the Puiseux series \\spad{g(x)}."))) 
 NIL 
 NIL 
-(-1224 |Coef|) 
+(-1227 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePuiseuxSeriesCategory} is the category of Puiseux series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}var)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{var}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 1. We may integrate a series when we can divide coefficients by rational numbers.")) (|multiplyExponents| (($ $ (|Fraction| (|Integer|))) "\\spad{multiplyExponents(f,{}r)} multiplies all exponents of the power series \\spad{f} by the positive rational number \\spad{r}.")) (|series| (($ (|NonNegativeInteger|) (|Stream| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#1|)))) "\\spad{series(n,{}st)} creates a series from a common denomiator and a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents and \\spad{n} should be a common denominator for the exponents in the stream of terms."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1225 S |Coef| ULS) 
+(-1228 S |Coef| ULS) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")) (|laurentIfCan| (((|Union| |#3| "failed") $) "\\spad{laurentIfCan(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. If this is not possible,{} \"failed\" is returned.")) (|laurent| ((|#3| $) "\\spad{laurent(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. Error: if this is not possible.")) (|coerce| (($ |#3|) "\\spad{coerce(f(x))} converts the Laurent series \\spad{f(x)} to a Puiseux series.")) (|degree| (((|Fraction| (|Integer|)) $) "\\spad{degree(f(x))} returns the degree of the leading term of the Puiseux series \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurentRep| ((|#3| $) "\\spad{laurentRep(f(x))} returns \\spad{g(x)} where the Puiseux series \\spad{f(x) = g(x^r)} is represented by \\spad{[r,{}g(x)]}.")) (|rationalPower| (((|Fraction| (|Integer|)) $) "\\spad{rationalPower(f(x))} returns \\spad{r} where the Puiseux series \\spad{f(x) = g(x^r)}.")) (|puiseux| (($ (|Fraction| (|Integer|)) |#3|) "\\spad{puiseux(r,{}f(x))} returns \\spad{f(x^r)}."))) 
 NIL 
 NIL 
-(-1226 |Coef| ULS) 
+(-1229 |Coef| ULS) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")) (|laurentIfCan| (((|Union| |#2| "failed") $) "\\spad{laurentIfCan(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. If this is not possible,{} \"failed\" is returned.")) (|laurent| ((|#2| $) "\\spad{laurent(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. Error: if this is not possible.")) (|coerce| (($ |#2|) "\\spad{coerce(f(x))} converts the Laurent series \\spad{f(x)} to a Puiseux series.")) (|degree| (((|Fraction| (|Integer|)) $) "\\spad{degree(f(x))} returns the degree of the leading term of the Puiseux series \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurentRep| ((|#2| $) "\\spad{laurentRep(f(x))} returns \\spad{g(x)} where the Puiseux series \\spad{f(x) = g(x^r)} is represented by \\spad{[r,{}g(x)]}.")) (|rationalPower| (((|Fraction| (|Integer|)) $) "\\spad{rationalPower(f(x))} returns \\spad{r} where the Puiseux series \\spad{f(x) = g(x^r)}.")) (|puiseux| (($ (|Fraction| (|Integer|)) |#2|) "\\spad{puiseux(r,{}f(x))} returns \\spad{f(x^r)}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1227 |Coef| ULS) 
+(-1230 |Coef| ULS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568))) (|devaluate| |#1|))))) (|HasCategory| (-409 (-568)) (QUOTE (-1102))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161)))))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-959))) (|HasCategory| |#1| (QUOTE (-1181)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -1845) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1161))))) (|HasSignature| |#1| (LIST (QUOTE -2057) (LIST (LIST (QUOTE -634) (QUOTE (-1161))) (|devaluate| |#1|))))))) 
-(-1228 |Coef| |var| |cen|) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569))) (|devaluate| |#1|))))) (|HasCategory| (-410 (-569)) (QUOTE (-1103))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+(-1231 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Puiseux series in one variable \\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spad{UnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4519 |has| |#1| (-365)) (-4513 |has| |#1| (-365)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568))) (|devaluate| |#1|))))) (|HasCategory| (-409 (-568)) (QUOTE (-1102))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (-2199 (|HasCategory| |#1| (QUOTE (-365))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161)))))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-959))) (|HasCategory| |#1| (QUOTE (-1181)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -1845) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1161))))) (|HasSignature| |#1| (LIST (QUOTE -2057) (LIST (LIST (QUOTE -634) (QUOTE (-1161))) (|devaluate| |#1|))))))) 
-(-1229 R FE |var| |cen|) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4533 |has| |#1| (-366)) (-4527 |has| |#1| (-366)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569))) (|devaluate| |#1|))))) (|HasCategory| (-410 (-569)) (QUOTE (-1103))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) (-2232 (|HasCategory| |#1| (QUOTE (-366))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+(-1232 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) 
-(((-4523 "*") |has| (-1228 |#2| |#3| |#4|) (-172)) (-4514 |has| (-1228 |#2| |#3| |#4|) (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| (-1228 |#2| |#3| |#4|) (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-1228 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1228 |#2| |#3| |#4|) (QUOTE (-150))) (|HasCategory| (-1228 |#2| |#3| |#4|) (QUOTE (-172))) (|HasCategory| (-1228 |#2| |#3| |#4|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-1228 |#2| |#3| |#4|) (LIST (QUOTE -1037) (QUOTE (-568)))) (|HasCategory| (-1228 |#2| |#3| |#4|) (QUOTE (-365))) (|HasCategory| (-1228 |#2| |#3| |#4|) (QUOTE (-453))) (-2199 (|HasCategory| (-1228 |#2| |#3| |#4|) (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| (-1228 |#2| |#3| |#4|) (LIST (QUOTE -1037) (LIST (QUOTE -409) (QUOTE (-568)))))) (|HasCategory| (-1228 |#2| |#3| |#4|) (QUOTE (-558)))) 
-(-1230 A S) 
+(((-4537 "*") |has| (-1231 |#2| |#3| |#4|) (-173)) (-4528 |has| (-1231 |#2| |#3| |#4|) (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| (-1231 |#2| |#3| |#4|) (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-1231 |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1231 |#2| |#3| |#4|) (QUOTE (-151))) (|HasCategory| (-1231 |#2| |#3| |#4|) (QUOTE (-173))) (|HasCategory| (-1231 |#2| |#3| |#4|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-1231 |#2| |#3| |#4|) (LIST (QUOTE -1038) (QUOTE (-569)))) (|HasCategory| (-1231 |#2| |#3| |#4|) (QUOTE (-366))) (|HasCategory| (-1231 |#2| |#3| |#4|) (QUOTE (-454))) (-2232 (|HasCategory| (-1231 |#2| |#3| |#4|) (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| (-1231 |#2| |#3| |#4|) (LIST (QUOTE -1038) (LIST (QUOTE -410) (QUOTE (-569)))))) (|HasCategory| (-1231 |#2| |#3| |#4|) (QUOTE (-559)))) 
+(-1233 A S) 
 ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,{}n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note that afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#2| $ |#2|) "\\spad{setlast!(u,{}x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,{}v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#2| $ "last" |#2|) "\\spad{setelt(u,{}\"last\",{}x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,{}\"rest\",{}v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#2| $ "first" |#2|) "\\spad{setelt(u,{}\"first\",{}x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#2| $ |#2|) "\\spad{setfirst!(u,{}x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#2|) "\\spad{concat!(u,{}x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note that \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,{}v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note that \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast_!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#2| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note that \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#2| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note that \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note that if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,{}n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note that \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#2| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note that for lists,{} \\axiom{last(\\spad{u})=u . (maxIndex \\spad{u})=u . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,{}n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note that \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#2| $ "last") "\\spad{elt(u,{}\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,{}\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#2| $ "first") "\\spad{elt(u,{}\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,{}n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#2| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#2| $) "\\spad{concat(x,{}u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note that if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note that \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4522))) 
-(-1231 S) 
+((|HasAttribute| |#1| (QUOTE -4536))) 
+(-1234 S) 
 ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,{}n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note that afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#1| $ |#1|) "\\spad{setlast!(u,{}x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,{}v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#1| $ "last" |#1|) "\\spad{setelt(u,{}\"last\",{}x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,{}\"rest\",{}v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#1| $ "first" |#1|) "\\spad{setelt(u,{}\"first\",{}x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#1| $ |#1|) "\\spad{setfirst!(u,{}x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#1|) "\\spad{concat!(u,{}x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note that \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,{}v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note that \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast_!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#1| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note that \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#1| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note that \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note that if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,{}n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note that \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#1| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note that for lists,{} \\axiom{last(\\spad{u})=u . (maxIndex \\spad{u})=u . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,{}n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note that \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#1| $ "last") "\\spad{elt(u,{}\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,{}\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#1| $ "first") "\\spad{elt(u,{}\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,{}n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#1| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#1| $) "\\spad{concat(x,{}u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note that if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note that \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) 
-((-3973 . T)) 
+((-2982 . T)) 
 NIL 
-(-1232 |Coef1| |Coef2| UTS1 UTS2) 
+(-1235 |Coef1| |Coef2| UTS1 UTS2) 
 ((|constructor| (NIL "Mapping package for univariate Taylor series. This package allows one to apply a function to the coefficients of a univariate Taylor series.")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(f,{}g(x))} applies the map \\spad{f} to the coefficients of \\indented{1}{the Taylor series \\spad{g(x)}.}"))) 
 NIL 
 NIL 
-(-1233 S |Coef|) 
+(-1236 S |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-568)))) (|HasCategory| |#2| (QUOTE (-959))) (|HasCategory| |#2| (QUOTE (-1181))) (|HasSignature| |#2| (LIST (QUOTE -2057) (LIST (LIST (QUOTE -634) (QUOTE (-1161))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1845) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1161))))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#2| (QUOTE (-365)))) 
-(-1234 |Coef|) 
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#2| (QUOTE (-960))) (|HasCategory| |#2| (QUOTE (-1183))) (|HasSignature| |#2| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2565) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1163))))) (|HasCategory| |#2| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#2| (QUOTE (-366)))) 
+(-1237 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1235 |Coef| |var| |cen|) 
+(-1238 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-763)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-763)) (|devaluate| |#1|))))) (|HasCategory| (-763) (QUOTE (-1102))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-763))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-763))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161)))))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-959))) (|HasCategory| |#1| (QUOTE (-1181)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -1845) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1161))))) (|HasSignature| |#1| (LIST (QUOTE -2057) (LIST (LIST (QUOTE -634) (QUOTE (-1161))) (|devaluate| |#1|))))))) 
-(-1236 |Coef| UTS) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-764)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-764)) (|devaluate| |#1|))))) (|HasCategory| (-764) (QUOTE (-1103))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-764))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-764))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+(-1239 |Coef| UTS) 
 ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}. This package provides Taylor series solutions to regular linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y=f(y,{}y',{}..,{}y)} such that \\spad{y(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) 
 NIL 
 NIL 
-(-1237 -1478 UP L UTS) 
+(-1240 -1564 UP L UTS) 
 ((|constructor| (NIL "\\spad{RUTSodetools} provides tools to interface with the series ODE solver when presented with linear ODEs.")) (RF2UTS ((|#4| (|Fraction| |#2|)) "\\spad{RF2UTS(f)} converts \\spad{f} to a Taylor series.")) (LODO2FUN (((|Mapping| |#4| (|List| |#4|)) |#3|) "\\spad{LODO2FUN(op)} returns the function to pass to the series ODE solver in order to solve \\spad{op y = 0}.")) (UTS2UP ((|#2| |#4| (|NonNegativeInteger|)) "\\spad{UTS2UP(s,{} n)} converts the first \\spad{n} terms of \\spad{s} to a univariate polynomial.")) (UP2UTS ((|#4| |#2|) "\\spad{UP2UTS(p)} converts \\spad{p} to a Taylor series."))) 
 NIL 
-((|HasCategory| |#1| (QUOTE (-558)))) 
-(-1238 -1478 UTSF UTSSUPF) 
+((|HasCategory| |#1| (QUOTE (-559)))) 
+(-1241 -1564 UTSF UTSSUPF) 
 ((|constructor| (NIL "This package has no description"))) 
 NIL 
 NIL 
-(-1239 |Coef| |var|) 
+(-1242 |Coef| |var|) 
 ((|constructor| (NIL "Part of the Package for Algebraic Function Fields in one variable PAFF")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n)))=exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
-(((-4523 "*") |has| |#1| (-172)) (-4514 |has| |#1| (-558)) (-4515 . T) (-4516 . T) (-4518 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-172))) (-2199 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-150))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-763)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -895) (QUOTE (-1161)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-763)) (|devaluate| |#1|))))) (|HasCategory| (-763) (QUOTE (-1102))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-763))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-763))))) (|HasSignature| |#1| (LIST (QUOTE -2747) (LIST (|devaluate| |#1|) (QUOTE (-1161)))))) (|HasCategory| |#1| (QUOTE (-365))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-568)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasCategory| |#1| (QUOTE (-959))) (|HasCategory| |#1| (QUOTE (-1181)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasSignature| |#1| (LIST (QUOTE -1845) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1161))))) (|HasSignature| |#1| (LIST (QUOTE -2057) (LIST (LIST (QUOTE -634) (QUOTE (-1161))) (|devaluate| |#1|))))))) 
-(-1240 |sym|) 
+(((-4537 "*") |has| |#1| (-173)) (-4528 |has| |#1| (-559)) (-4529 . T) (-4530 . T) (-4532 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-173))) (-2232 (|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-559)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-151))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-764)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-764)) (|devaluate| |#1|))))) (|HasCategory| (-764) (QUOTE (-1103))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-764))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-764))))) (|HasSignature| |#1| (LIST (QUOTE -2185) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasCategory| |#1| (QUOTE (-366))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-569)))) (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (QUOTE (-1183)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -43) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasSignature| |#1| (LIST (QUOTE -2565) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -1773) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+(-1243 |sym|) 
 ((|constructor| (NIL "This domain implements variables")) (|variable| (((|Symbol|)) "\\spad{variable()} returns the symbol")) (|coerce| (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol"))) 
 NIL 
 NIL 
-(-1241 S R) 
+(-1244 S R) 
 ((|constructor| (NIL "\\spadtype{VectorCategory} represents the type of vector like objects,{} \\spadignore{i.e.} finite sequences indexed by some finite segment of the integers. The operations available on vectors depend on the structure of the underlying components. Many operations from the component domain are defined for vectors componentwise. It can by assumed that extraction or updating components can be done in constant time.")) (|magnitude| ((|#2| $) "\\spad{magnitude(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the length")) (|length| ((|#2| $) "\\spad{length(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the magnitude")) (|cross| (($ $ $) "vectorProduct(\\spad{u},{}\\spad{v}) constructs the cross product of \\spad{u} and \\spad{v}. Error: if \\spad{u} and \\spad{v} are not of length 3.")) (|outerProduct| (((|Matrix| |#2|) $ $) "\\spad{outerProduct(u,{}v)} constructs the matrix whose (\\spad{i},{}\\spad{j})\\spad{'}th element is \\spad{u}(\\spad{i})\\spad{*v}(\\spad{j}).")) (|dot| ((|#2| $ $) "\\spad{dot(x,{}y)} computes the inner product of the two vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.")) (* (($ $ |#2|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#2| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.") (($ (|Integer|) $) "\\spad{n * y} multiplies each component of the vector \\spad{y} by the integer \\spad{n}.")) (- (($ $ $) "\\spad{x - y} returns the component-wise difference of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.") (($ $) "\\spad{-x} negates all components of the vector \\spad{x}.")) (|zero| (($ (|NonNegativeInteger|)) "\\spad{zero(n)} creates a zero vector of length \\spad{n}.")) (+ (($ $ $) "\\spad{x + y} returns the component-wise sum of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length."))) 
 NIL 
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-(-1242 R) 
+((|HasCategory| |#2| (QUOTE (-1003))) (|HasCategory| |#2| (QUOTE (-1048))) (|HasCategory| |#2| (QUOTE (-717))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-25)))) 
+(-1245 R) 
 ((|constructor| (NIL "\\spadtype{VectorCategory} represents the type of vector like objects,{} \\spadignore{i.e.} finite sequences indexed by some finite segment of the integers. The operations available on vectors depend on the structure of the underlying components. Many operations from the component domain are defined for vectors componentwise. It can by assumed that extraction or updating components can be done in constant time.")) (|magnitude| ((|#1| $) "\\spad{magnitude(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the length")) (|length| ((|#1| $) "\\spad{length(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the magnitude")) (|cross| (($ $ $) "vectorProduct(\\spad{u},{}\\spad{v}) constructs the cross product of \\spad{u} and \\spad{v}. Error: if \\spad{u} and \\spad{v} are not of length 3.")) (|outerProduct| (((|Matrix| |#1|) $ $) "\\spad{outerProduct(u,{}v)} constructs the matrix whose (\\spad{i},{}\\spad{j})\\spad{'}th element is \\spad{u}(\\spad{i})\\spad{*v}(\\spad{j}).")) (|dot| ((|#1| $ $) "\\spad{dot(x,{}y)} computes the inner product of the two vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.")) (* (($ $ |#1|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#1| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.") (($ (|Integer|) $) "\\spad{n * y} multiplies each component of the vector \\spad{y} by the integer \\spad{n}.")) (- (($ $ $) "\\spad{x - y} returns the component-wise difference of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.") (($ $) "\\spad{-x} negates all components of the vector \\spad{x}.")) (|zero| (($ (|NonNegativeInteger|)) "\\spad{zero(n)} creates a zero vector of length \\spad{n}.")) (+ (($ $ $) "\\spad{x + y} returns the component-wise sum of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length."))) 
-((-4522 . T) (-4521 . T) (-3973 . T)) 
+((-4536 . T) (-4535 . T) (-2982 . T)) 
 NIL 
-(-1243 A B) 
+(-1246 A B) 
 ((|constructor| (NIL "This package provides operations which all take as arguments vectors of elements of some type \\spad{A} and functions from \\spad{A} to another of type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a vector over \\spad{B}.")) (|map| (((|Union| (|Vector| |#2|) "failed") (|Mapping| (|Union| |#2| "failed") |#1|) (|Vector| |#1|)) "\\spad{map(f,{} v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values or \\spad{\"failed\"}.") (((|Vector| |#2|) (|Mapping| |#2| |#1|) (|Vector| |#1|)) "\\spad{map(f,{} v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{reduce(func,{}vec,{}ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if \\spad{vec} is empty.")) (|scan| (((|Vector| |#2|) (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{scan(func,{}vec,{}ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) 
 NIL 
 NIL 
-(-1244 R) 
+(-1247 R) 
 ((|constructor| (NIL "This type represents vector like objects with varying lengths and indexed by a finite segment of integers starting at 1.")) (|vector| (($ (|List| |#1|)) "\\spad{vector(l)} converts the list \\spad{l} to a vector."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#1| (QUOTE (-842))) (-2199 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-1090)))) (|HasCategory| (-568) (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-716))) (|HasCategory| |#1| (QUOTE (-1047))) (-12 (|HasCategory| |#1| (QUOTE (-1002))) (|HasCategory| |#1| (QUOTE (-1047)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))) (-2199 (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-842)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -303) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1090)))))) 
-(-1245) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-843))) (-2232 (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-1091)))) (|HasCategory| (-569) (QUOTE (-843))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-717))) (|HasCategory| |#1| (QUOTE (-1048))) (-12 (|HasCategory| |#1| (QUOTE (-1003))) (|HasCategory| |#1| (QUOTE (-1048)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))) (-2232 (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-843)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -304) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-1091)))))) 
+(-1248) 
 ((|constructor| (NIL "TwoDimensionalViewport creates viewports to display graphs.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} returns the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport} as output of the domain \\spadtype{OutputForm}.")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} back to their initial settings.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,{}s,{}lf)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,{}s,{}f)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,{}s)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,{}w,{}h)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|update| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{update(v,{}gr,{}n)} drops the graph \\spad{gr} in slot \\spad{n} of viewport \\spad{v}. The graph \\spad{gr} must have been transmitted already and acquired an integer key.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,{}x,{}y)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|show| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{show(v,{}n,{}s)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the graph if \\spad{s} is \"off\".")) (|translate| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{translate(v,{}n,{}dx,{}dy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} translated by \\spad{dx} in the \\spad{x}-coordinate direction from the center of the viewport,{} and by \\spad{dy} in the \\spad{y}-coordinate direction from the center. Setting \\spad{dx} and \\spad{dy} to \\spad{0} places the center of the graph at the center of the viewport.")) (|scale| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{scale(v,{}n,{}sx,{}sy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} scaled by the factor \\spad{sx} in the \\spad{x}-coordinate direction and by the factor \\spad{sy} in the \\spad{y}-coordinate direction.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,{}x,{}y,{}width,{}height)} sets the position of the upper left-hand corner of the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport2D} is executed again for \\spad{v}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and terminates the corresponding process ID.")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,{}s)} displays the control panel of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|connect| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{connect(v,{}n,{}s)} displays the lines connecting the graph points in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the lines if \\spad{s} is \"off\".")) (|region| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{region(v,{}n,{}s)} displays the bounding box of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the bounding box if \\spad{s} is \"off\".")) (|points| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{points(v,{}n,{}s)} displays the points of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the points if \\spad{s} is \"off\".")) (|units| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{units(v,{}n,{}c)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the units color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{units(v,{}n,{}s)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the units if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{axes(v,{}n,{}c)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the axes color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{axes(v,{}n,{}s)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|getGraph| (((|GraphImage|) $ (|PositiveInteger|)) "\\spad{getGraph(v,{}n)} returns the graph which is of the domain \\spadtype{GraphImage} which is located in graph field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of the domain \\spadtype{TwoDimensionalViewport}.")) (|putGraph| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{putGraph(v,{}\\spad{gi},{}n)} sets the graph field indicated by \\spad{n},{} of the indicated two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to be the graph,{} \\spad{\\spad{gi}} of domain \\spadtype{GraphImage}. The contents of viewport,{} \\spad{v},{} will contain \\spad{\\spad{gi}} when the function \\spadfun{makeViewport2D} is called to create the an updated viewport \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,{}s)} changes the title which is shown in the two-dimensional viewport window,{} \\spad{v} of domain \\spadtype{TwoDimensionalViewport}.")) (|graphs| (((|Vector| (|Union| (|GraphImage|) "undefined")) $) "\\spad{graphs(v)} returns a vector,{} or list,{} which is a union of all the graphs,{} of the domain \\spadtype{GraphImage},{} which are allocated for the two-dimensional viewport,{} \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport}. Those graphs which have no data are labeled \"undefined\",{} otherwise their contents are shown.")) (|graphStates| (((|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|)))) $) "\\spad{graphStates(v)} returns and shows a listing of a record containing the current state of the characteristics of each of the ten graph records in the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|graphState| (((|Void|) $ (|PositiveInteger|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Palette|) (|Integer|) (|Palette|) (|Integer|)) "\\spad{graphState(v,{}num,{}sX,{}sY,{}dX,{}dY,{}pts,{}lns,{}box,{}axes,{}axesC,{}un,{}unC,{}cP)} sets the state of the characteristics for the graph indicated by \\spad{num} in the given two-dimensional viewport \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport},{} to the values given as parameters. The scaling of the graph in the \\spad{x} and \\spad{y} component directions is set to be \\spad{sX} and \\spad{sY}; the window translation in the \\spad{x} and \\spad{y} component directions is set to be \\spad{dX} and \\spad{dY}; The graph points,{} lines,{} bounding \\spad{box},{} \\spad{axes},{} or units will be shown in the viewport if their given parameters \\spad{pts},{} \\spad{lns},{} \\spad{box},{} \\spad{axes} or \\spad{un} are set to be \\spad{1},{} but will not be shown if they are set to \\spad{0}. The color of the \\spad{axes} and the color of the units are indicated by the palette colors \\spad{axesC} and \\spad{unC} respectively. To display the control panel when the viewport window is displayed,{} set \\spad{cP} to \\spad{1},{} otherwise set it to \\spad{0}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,{}lopt)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns \\spad{v} with it\\spad{'s} draw options modified to be those which are indicated in the given list,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns a list containing the draw options from the domain \\spadtype{DrawOption} for \\spad{v}.")) (|makeViewport2D| (($ (|GraphImage|) (|List| (|DrawOption|))) "\\spad{makeViewport2D(\\spad{gi},{}lopt)} creates and displays a viewport window of the domain \\spadtype{TwoDimensionalViewport} whose graph field is assigned to be the given graph,{} \\spad{\\spad{gi}},{} of domain \\spadtype{GraphImage},{} and whose options field is set to be the list of options,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (($ $) "\\spad{makeViewport2D(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport2D| (($) "\\spad{viewport2D()} returns an undefined two-dimensional viewport of the domain \\spadtype{TwoDimensionalViewport} whose contents are empty.")) (|getPickedPoints| (((|List| (|Point| (|DoubleFloat|))) $) "\\spad{getPickedPoints(x)} returns a list of small floats for the points the user interactively picked on the viewport for full integration into the system,{} some design issues need to be addressed: \\spadignore{e.g.} how to go through the GraphImage interface,{} how to default to graphs,{} etc."))) 
 NIL 
 NIL 
-(-1246) 
+(-1249) 
 ((|constructor| (NIL "ThreeDimensionalViewport creates viewports to display graphs")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} and terminates the corresponding process ID.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,{}s,{}lf)} takes the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data file for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,{}s,{}f)} takes the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data file for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,{}s)} takes the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data file for \\spad{v}.")) (|colorDef| (((|Void|) $ (|Color|) (|Color|)) "\\spad{colorDef(v,{}c1,{}c2)} sets the range of colors along the colormap so that the lower end of the colormap is defined by \\spad{c1} and the top end of the colormap is defined by \\spad{c2},{} for the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} back to their initial settings.")) (|intensity| (((|Void|) $ (|Float|)) "\\spad{intensity(v,{}i)} sets the intensity of the light source to \\spad{i},{} for the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport}.")) (|lighting| (((|Void|) $ (|Float|) (|Float|) (|Float|)) "\\spad{lighting(v,{}x,{}y,{}z)} sets the position of the light source to the coordinates \\spad{x},{} \\spad{y},{} and \\spad{z} and displays the graph for the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport}.")) (|clipSurface| (((|Void|) $ (|String|)) "\\spad{clipSurface(v,{}s)} displays the graph with the specified clipping region removed if \\spad{s} is \"on\",{} or displays the graph without clipping implemented if \\spad{s} is \"off\",{} for the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport}.")) (|showClipRegion| (((|Void|) $ (|String|)) "\\spad{showClipRegion(v,{}s)} displays the clipping region of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the region if \\spad{s} is \"off\".")) (|showRegion| (((|Void|) $ (|String|)) "\\spad{showRegion(v,{}s)} displays the bounding box of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the box if \\spad{s} is \"off\".")) (|hitherPlane| (((|Void|) $ (|Float|)) "\\spad{hitherPlane(v,{}h)} sets the hither clipping plane of the graph to \\spad{h},{} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}.")) (|eyeDistance| (((|Void|) $ (|Float|)) "\\spad{eyeDistance(v,{}d)} sets the distance of the observer from the center of the graph to \\spad{d},{} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}.")) (|perspective| (((|Void|) $ (|String|)) "\\spad{perspective(v,{}s)} displays the graph in perspective if \\spad{s} is \"on\",{} or does not display perspective if \\spad{s} is \"off\" for the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport}.")) (|translate| (((|Void|) $ (|Float|) (|Float|)) "\\spad{translate(v,{}dx,{}dy)} sets the horizontal viewport offset to \\spad{dx} and the vertical viewport offset to \\spad{dy},{} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}.")) (|zoom| (((|Void|) $ (|Float|) (|Float|) (|Float|)) "\\spad{zoom(v,{}sx,{}sy,{}sz)} sets the graph scaling factors for the \\spad{x}-coordinate axis to \\spad{sx},{} the \\spad{y}-coordinate axis to \\spad{sy} and the \\spad{z}-coordinate axis to \\spad{sz} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}.") (((|Void|) $ (|Float|)) "\\spad{zoom(v,{}s)} sets the graph scaling factor to \\spad{s},{} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}.")) (|rotate| (((|Void|) $ (|Integer|) (|Integer|)) "\\spad{rotate(v,{}th,{}phi)} rotates the graph to the longitudinal view angle \\spad{th} degrees and the latitudinal view angle \\spad{phi} degrees for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}. The new rotation position is not displayed until the function \\spadfun{makeViewport3D} is executed again for \\spad{v}.") (((|Void|) $ (|Float|) (|Float|)) "\\spad{rotate(v,{}th,{}phi)} rotates the graph to the longitudinal view angle \\spad{th} radians and the latitudinal view angle \\spad{phi} radians for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}.")) (|drawStyle| (((|Void|) $ (|String|)) "\\spad{drawStyle(v,{}s)} displays the surface for the given three-dimensional viewport \\spad{v} which is of domain \\spadtype{ThreeDimensionalViewport} in the style of drawing indicated by \\spad{s}. If \\spad{s} is not a valid drawing style the style is wireframe by default. Possible styles are \\spad{\"shade\"},{} \\spad{\"solid\"} or \\spad{\"opaque\"},{} \\spad{\"smooth\"},{} and \\spad{\"wireMesh\"}.")) (|outlineRender| (((|Void|) $ (|String|)) "\\spad{outlineRender(v,{}s)} displays the polygon outline showing either triangularized surface or a quadrilateral surface outline depending on the whether the \\spadfun{diagonals} function has been set,{} for the given three-dimensional viewport \\spad{v} which is of domain \\spadtype{ThreeDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the polygon outline if \\spad{s} is \"off\".")) (|diagonals| (((|Void|) $ (|String|)) "\\spad{diagonals(v,{}s)} displays the diagonals of the polygon outline showing a triangularized surface instead of a quadrilateral surface outline,{} for the given three-dimensional viewport \\spad{v} which is of domain \\spadtype{ThreeDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the diagonals if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|String|)) "\\spad{axes(v,{}s)} displays the axes of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,{}s)} displays the control panel of the given three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|viewpoint| (((|Void|) $ (|Float|) (|Float|) (|Float|)) "\\spad{viewpoint(v,{}rotx,{}roty,{}rotz)} sets the rotation about the \\spad{x}-axis to be \\spad{rotx} radians,{} sets the rotation about the \\spad{y}-axis to be \\spad{roty} radians,{} and sets the rotation about the \\spad{z}-axis to be \\spad{rotz} radians,{} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport} and displays \\spad{v} with the new view position.") (((|Void|) $ (|Float|) (|Float|)) "\\spad{viewpoint(v,{}th,{}phi)} sets the longitudinal view angle to \\spad{th} radians and the latitudinal view angle to \\spad{phi} radians for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}. The new viewpoint position is not displayed until the function \\spadfun{makeViewport3D} is executed again for \\spad{v}.") (((|Void|) $ (|Integer|) (|Integer|) (|Float|) (|Float|) (|Float|)) "\\spad{viewpoint(v,{}th,{}phi,{}s,{}dx,{}dy)} sets the longitudinal view angle to \\spad{th} degrees,{} the latitudinal view angle to \\spad{phi} degrees,{} the scale factor to \\spad{s},{} the horizontal viewport offset to \\spad{dx},{} and the vertical viewport offset to \\spad{dy} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}. The new viewpoint position is not displayed until the function \\spadfun{makeViewport3D} is executed again for \\spad{v}.") (((|Void|) $ (|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)))) "\\spad{viewpoint(v,{}viewpt)} sets the viewpoint for the viewport. The viewport record consists of the latitudal and longitudal angles,{} the zoom factor,{} the \\spad{x},{}\\spad{y} and \\spad{z} scales,{} and the \\spad{x} and \\spad{y} displacements.") (((|Record| (|:| |theta| (|DoubleFloat|)) (|:| |phi| (|DoubleFloat|)) (|:| |scale| (|DoubleFloat|)) (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |scaleZ| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|))) $) "\\spad{viewpoint(v)} returns the current viewpoint setting of the given viewport,{} \\spad{v}. This function is useful in the situation where the user has created a viewport,{} proceeded to interact with it via the control panel and desires to save the values of the viewpoint as the default settings for another viewport to be created using the system.") (((|Void|) $ (|Float|) (|Float|) (|Float|) (|Float|) (|Float|)) "\\spad{viewpoint(v,{}th,{}phi,{}s,{}dx,{}dy)} sets the longitudinal view angle to \\spad{th} radians,{} the latitudinal view angle to \\spad{phi} radians,{} the scale factor to \\spad{s},{} the horizontal viewport offset to \\spad{dx},{} and the vertical viewport offset to \\spad{dy} for the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport}. The new viewpoint position is not displayed until the function \\spadfun{makeViewport3D} is executed again for \\spad{v}.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,{}x,{}y,{}width,{}height)} sets the position of the upper left-hand corner of the three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport3D} is executed again for \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,{}s)} changes the title which is shown in the three-dimensional viewport window,{} \\spad{v} of domain \\spadtype{ThreeDimensionalViewport}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,{}w,{}h)} displays the three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,{}x,{}y)} displays the three-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{ThreeDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,{}lopt)} takes the viewport,{} \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport} and sets the draw options being used by \\spad{v} to those indicated in the list,{} \\spad{lopt},{} which is a list of options from the domain \\spad{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the viewport,{} \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport} and returns a list of all the draw options from the domain \\spad{DrawOption} which are being used by \\spad{v}.")) (|modifyPointData| (((|Void|) $ (|NonNegativeInteger|) (|Point| (|DoubleFloat|))) "\\spad{modifyPointData(v,{}ind,{}pt)} takes the viewport,{} \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport},{} and places the data point,{} \\spad{pt} into the list of points database of \\spad{v} at the index location given by \\spad{ind}.")) (|subspace| (($ $ (|ThreeSpace| (|DoubleFloat|))) "\\spad{subspace(v,{}sp)} places the contents of the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport},{} in the subspace \\spad{sp},{} which is of the domain \\spad{ThreeSpace}.") (((|ThreeSpace| (|DoubleFloat|)) $) "\\spad{subspace(v)} returns the contents of the viewport \\spad{v},{} which is of the domain \\spadtype{ThreeDimensionalViewport},{} as a subspace of the domain \\spad{ThreeSpace}.")) (|makeViewport3D| (($ (|ThreeSpace| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{makeViewport3D(sp,{}lopt)} takes the given space,{} \\spad{sp} which is of the domain \\spadtype{ThreeSpace} and displays a viewport window on the screen which contains the contents of \\spad{sp},{} and whose draw options are indicated by the list \\spad{lopt},{} which is a list of options from the domain \\spad{DrawOption}.") (($ (|ThreeSpace| (|DoubleFloat|)) (|String|)) "\\spad{makeViewport3D(sp,{}s)} takes the given space,{} \\spad{sp} which is of the domain \\spadtype{ThreeSpace} and displays a viewport window on the screen which contains the contents of \\spad{sp},{} and whose title is given by \\spad{s}.") (($ $) "\\spad{makeViewport3D(v)} takes the given three-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{ThreeDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport3D| (($) "\\spad{viewport3D()} returns an undefined three-dimensional viewport of the domain \\spadtype{ThreeDimensionalViewport} whose contents are empty.")) (|viewDeltaYDefault| (((|Float|) (|Float|)) "\\spad{viewDeltaYDefault(dy)} sets the current default vertical offset from the center of the viewport window to be \\spad{dy} and returns \\spad{dy}.") (((|Float|)) "\\spad{viewDeltaYDefault()} returns the current default vertical offset from the center of the viewport window.")) (|viewDeltaXDefault| (((|Float|) (|Float|)) "\\spad{viewDeltaXDefault(dx)} sets the current default horizontal offset from the center of the viewport window to be \\spad{dx} and returns \\spad{dx}.") (((|Float|)) "\\spad{viewDeltaXDefault()} returns the current default horizontal offset from the center of the viewport window.")) (|viewZoomDefault| (((|Float|) (|Float|)) "\\spad{viewZoomDefault(s)} sets the current default graph scaling value to \\spad{s} and returns \\spad{s}.") (((|Float|)) "\\spad{viewZoomDefault()} returns the current default graph scaling value.")) (|viewPhiDefault| (((|Float|) (|Float|)) "\\spad{viewPhiDefault(p)} sets the current default latitudinal view angle in radians to the value \\spad{p} and returns \\spad{p}.") (((|Float|)) "\\spad{viewPhiDefault()} returns the current default latitudinal view angle in radians.")) (|viewThetaDefault| (((|Float|) (|Float|)) "\\spad{viewThetaDefault(t)} sets the current default longitudinal view angle in radians to the value \\spad{t} and returns \\spad{t}.") (((|Float|)) "\\spad{viewThetaDefault()} returns the current default longitudinal view angle in radians."))) 
 NIL 
 NIL 
-(-1247) 
+(-1250) 
 ((|constructor| (NIL "ViewportDefaultsPackage describes default and user definable values for graphics")) (|tubeRadiusDefault| (((|DoubleFloat|)) "\\spad{tubeRadiusDefault()} returns the radius used for a 3D tube plot.") (((|DoubleFloat|) (|Float|)) "\\spad{tubeRadiusDefault(r)} sets the default radius for a 3D tube plot to \\spad{r}.")) (|tubePointsDefault| (((|PositiveInteger|)) "\\spad{tubePointsDefault()} returns the number of points to be used when creating the circle to be used in creating a 3D tube plot.") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{tubePointsDefault(i)} sets the number of points to use when creating the circle to be used in creating a 3D tube plot to \\spad{i}.")) (|var2StepsDefault| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{var2StepsDefault(i)} sets the number of steps to take when creating a 3D mesh in the direction of the first defined free variable to \\spad{i} (a free variable is considered defined when its range is specified (\\spadignore{e.g.} \\spad{x=0}..10)).") (((|PositiveInteger|)) "\\spad{var2StepsDefault()} is the current setting for the number of steps to take when creating a 3D mesh in the direction of the first defined free variable (a free variable is considered defined when its range is specified (\\spadignore{e.g.} \\spad{x=0}..10)).")) (|var1StepsDefault| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{var1StepsDefault(i)} sets the number of steps to take when creating a 3D mesh in the direction of the first defined free variable to \\spad{i} (a free variable is considered defined when its range is specified (\\spadignore{e.g.} \\spad{x=0}..10)).") (((|PositiveInteger|)) "\\spad{var1StepsDefault()} is the current setting for the number of steps to take when creating a 3D mesh in the direction of the first defined free variable (a free variable is considered defined when its range is specified (\\spadignore{e.g.} \\spad{x=0}..10)).")) (|viewWriteAvailable| (((|List| (|String|))) "\\spad{viewWriteAvailable()} returns a list of available methods for writing,{} such as BITMAP,{} POSTSCRIPT,{} etc.")) (|viewWriteDefault| (((|List| (|String|)) (|List| (|String|))) "\\spad{viewWriteDefault(l)} sets the default list of things to write in a viewport data file to the strings in \\spad{l}; a viewalone file is always genereated.") (((|List| (|String|))) "\\spad{viewWriteDefault()} returns the list of things to write in a viewport data file; a viewalone file is always generated.")) (|viewDefaults| (((|Void|)) "\\spad{viewDefaults()} resets all the default graphics settings.")) (|viewSizeDefault| (((|List| (|PositiveInteger|)) (|List| (|PositiveInteger|))) "\\spad{viewSizeDefault([w,{}h])} sets the default viewport width to \\spad{w} and height to \\spad{h}.") (((|List| (|PositiveInteger|))) "\\spad{viewSizeDefault()} returns the default viewport width and height.")) (|viewPosDefault| (((|List| (|NonNegativeInteger|)) (|List| (|NonNegativeInteger|))) "\\spad{viewPosDefault([x,{}y])} sets the default \\spad{X} and \\spad{Y} position of a viewport window unless overriden explicityly,{} newly created viewports will have th \\spad{X} and \\spad{Y} coordinates \\spad{x},{} \\spad{y}.") (((|List| (|NonNegativeInteger|))) "\\spad{viewPosDefault()} returns the default \\spad{X} and \\spad{Y} position of a viewport window unless overriden explicityly,{} newly created viewports will have this \\spad{X} and \\spad{Y} coordinate.")) (|pointSizeDefault| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{pointSizeDefault(i)} sets the default size of the points in a 2D viewport to \\spad{i}.") (((|PositiveInteger|)) "\\spad{pointSizeDefault()} returns the default size of the points in a 2D viewport.")) (|unitsColorDefault| (((|Palette|) (|Palette|)) "\\spad{unitsColorDefault(p)} sets the default color of the unit ticks in a 2D viewport to the palette \\spad{p}.") (((|Palette|)) "\\spad{unitsColorDefault()} returns the default color of the unit ticks in a 2D viewport.")) (|axesColorDefault| (((|Palette|) (|Palette|)) "\\spad{axesColorDefault(p)} sets the default color of the axes in a 2D viewport to the palette \\spad{p}.") (((|Palette|)) "\\spad{axesColorDefault()} returns the default color of the axes in a 2D viewport.")) (|lineColorDefault| (((|Palette|) (|Palette|)) "\\spad{lineColorDefault(p)} sets the default color of lines connecting points in a 2D viewport to the palette \\spad{p}.") (((|Palette|)) "\\spad{lineColorDefault()} returns the default color of lines connecting points in a 2D viewport.")) (|pointColorDefault| (((|Palette|) (|Palette|)) "\\spad{pointColorDefault(p)} sets the default color of points in a 2D viewport to the palette \\spad{p}.") (((|Palette|)) "\\spad{pointColorDefault()} returns the default color of points in a 2D viewport."))) 
 NIL 
 NIL 
-(-1248) 
+(-1251) 
 ((|constructor| (NIL "ViewportPackage provides functions for creating GraphImages and TwoDimensionalViewports from lists of lists of points.")) (|coerce| (((|TwoDimensionalViewport|) (|GraphImage|)) "\\spad{coerce(\\spad{gi})} converts the indicated \\spadtype{GraphImage},{} \\spad{gi},{} into the \\spadtype{TwoDimensionalViewport} form.")) (|drawCurves| (((|TwoDimensionalViewport|) (|List| (|List| (|Point| (|DoubleFloat|)))) (|List| (|DrawOption|))) "\\spad{drawCurves([[p0],{}[p1],{}...,{}[pn]],{}[options])} creates a \\spadtype{TwoDimensionalViewport} from the list of lists of points,{} \\spad{p0} throught \\spad{pn},{} using the options specified in the list \\spad{options}.") (((|TwoDimensionalViewport|) (|List| (|List| (|Point| (|DoubleFloat|)))) (|Palette|) (|Palette|) (|PositiveInteger|) (|List| (|DrawOption|))) "\\spad{drawCurves([[p0],{}[p1],{}...,{}[pn]],{}ptColor,{}lineColor,{}ptSize,{}[options])} creates a \\spadtype{TwoDimensionalViewport} from the list of lists of points,{} \\spad{p0} throught \\spad{pn},{} using the options specified in the list \\spad{options}. The point color is specified by \\spad{ptColor},{} the line color is specified by \\spad{lineColor},{} and the point size is specified by \\spad{ptSize}.")) (|graphCurves| (((|GraphImage|) (|List| (|List| (|Point| (|DoubleFloat|)))) (|List| (|DrawOption|))) "\\spad{graphCurves([[p0],{}[p1],{}...,{}[pn]],{}[options])} creates a \\spadtype{GraphImage} from the list of lists of points,{} \\spad{p0} throught \\spad{pn},{} using the options specified in the list \\spad{options}.") (((|GraphImage|) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{graphCurves([[p0],{}[p1],{}...,{}[pn]])} creates a \\spadtype{GraphImage} from the list of lists of points indicated by \\spad{p0} through \\spad{pn}.") (((|GraphImage|) (|List| (|List| (|Point| (|DoubleFloat|)))) (|Palette|) (|Palette|) (|PositiveInteger|) (|List| (|DrawOption|))) "\\spad{graphCurves([[p0],{}[p1],{}...,{}[pn]],{}ptColor,{}lineColor,{}ptSize,{}[options])} creates a \\spadtype{GraphImage} from the list of lists of points,{} \\spad{p0} throught \\spad{pn},{} using the options specified in the list \\spad{options}. The graph point color is specified by \\spad{ptColor},{} the graph line color is specified by \\spad{lineColor},{} and the size of the points is specified by \\spad{ptSize}."))) 
 NIL 
 NIL 
-(-1249) 
+(-1252) 
 ((|constructor| (NIL "This type is used when no value is needed,{} \\spadignore{e.g.} in the \\spad{then} part of a one armed \\spad{if}. All values can be coerced to type Void. Once a value has been coerced to Void,{} it cannot be recovered.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} coerces void object to outputForm.")) (|void| (($) "\\spad{void()} produces a void object."))) 
 NIL 
 NIL 
-(-1250 A S) 
+(-1253 A S) 
 ((|constructor| (NIL "Vector Spaces (not necessarily finite dimensional) over a field.")) (|dimension| (((|CardinalNumber|)) "\\spad{dimension()} returns the dimensionality of the vector space.")) (/ (($ $ |#2|) "\\spad{x/y} divides the vector \\spad{x} by the scalar \\spad{y}."))) 
 NIL 
 NIL 
-(-1251 S) 
+(-1254 S) 
 ((|constructor| (NIL "Vector Spaces (not necessarily finite dimensional) over a field.")) (|dimension| (((|CardinalNumber|)) "\\spad{dimension()} returns the dimensionality of the vector space.")) (/ (($ $ |#1|) "\\spad{x/y} divides the vector \\spad{x} by the scalar \\spad{y}."))) 
-((-4516 . T) (-4515 . T)) 
+((-4530 . T) (-4529 . T)) 
 NIL 
-(-1252 R) 
+(-1255 R) 
 ((|constructor| (NIL "This package implements the Weierstrass preparation theorem \\spad{f} or multivariate power series. weierstrass(\\spad{v},{}\\spad{p}) where \\spad{v} is a variable,{} and \\spad{p} is a TaylorSeries(\\spad{R}) in which the terms of lowest degree \\spad{s} must include c*v**s where \\spad{c} is a constant,{}\\spad{s>0},{} is a list of TaylorSeries coefficients A[\\spad{i}] of the equivalent polynomial A = A[0] + A[1]\\spad{*v} + A[2]\\spad{*v**2} + ... + A[\\spad{s}-1]*v**(\\spad{s}-1) + v**s such that p=A*B ,{} \\spad{B} being a TaylorSeries of minimum degree 0")) (|qqq| (((|Mapping| (|Stream| (|TaylorSeries| |#1|)) (|Stream| (|TaylorSeries| |#1|))) (|NonNegativeInteger|) (|TaylorSeries| |#1|) (|Stream| (|TaylorSeries| |#1|))) "\\spad{qqq(n,{}s,{}st)} is used internally.")) (|weierstrass| (((|List| (|TaylorSeries| |#1|)) (|Symbol|) (|TaylorSeries| |#1|)) "\\spad{weierstrass(v,{}ts)} where \\spad{v} is a variable and \\spad{ts} is \\indented{1}{a TaylorSeries,{} impements the Weierstrass Preparation} \\indented{1}{Theorem. The result is a list of TaylorSeries that} \\indented{1}{are the coefficients of the equivalent series.}")) (|clikeUniv| (((|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| |#1|)) (|Polynomial| |#1|)) (|Symbol|)) "\\spad{clikeUniv(v)} is used internally.")) (|sts2stst| (((|Stream| (|Stream| (|Polynomial| |#1|))) (|Symbol|) (|Stream| (|Polynomial| |#1|))) "\\spad{sts2stst(v,{}s)} is used internally.")) (|cfirst| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{cfirst n} is used internally.")) (|crest| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{crest n} is used internally."))) 
 NIL 
 NIL 
-(-1253 K R UP -1478) 
+(-1256 K R UP -1564) 
 ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}."))) 
 NIL 
 NIL 
-(-1254 R |VarSet| E P |vl| |wl| |wtlevel|) 
+(-1257 R |VarSet| E P |vl| |wl| |wtlevel|) 
 ((|constructor| (NIL "This domain represents truncated weighted polynomials over a general (not necessarily commutative) polynomial type. The variables must be specified,{} as must the weights. The representation is sparse in the sense that only non-zero terms are represented.")) (|changeWeightLevel| (((|Void|) (|NonNegativeInteger|)) "\\spad{changeWeightLevel(n)} changes the weight level to the new value given: \\spad{NB:} previously calculated terms are not affected")) (/ (((|Union| $ "failed") $ $) "\\spad{x/y} division (only works if minimum weight of divisor is zero,{} and if \\spad{R} is a Field)")) (|coerce| (($ |#4|) "\\spad{coerce(p)} coerces \\spad{p} into Weighted form,{} applying weights and ignoring terms") ((|#4| $) "convert back into a \\spad{\"P\"},{} ignoring weights"))) 
-((-4516 |has| |#1| (-172)) (-4515 |has| |#1| (-172)) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365)))) 
-(-1255 R E V P) 
+((-4530 |has| |#1| (-173)) (-4529 |has| |#1| (-173)) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366)))) 
+(-1258 R E V P) 
 ((|constructor| (NIL "A domain constructor of the category \\axiomType{GeneralTriangularSet}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. The construct operation does not check the previous requirement. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members. Furthermore,{} this domain exports operations dealing with the characteristic set method of Wu Wen Tsun and some optimizations mainly proposed by Dong Ming Wang.")) (|characteristicSerie| (((|List| $) (|List| |#4|)) "\\axiom{characteristicSerie(\\spad{ps})} returns the same as \\axiom{characteristicSerie(\\spad{ps},{}initiallyReduced?,{}initiallyReduce)}.") (((|List| $) (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{characteristicSerie(\\spad{ps},{}redOp?,{}redOp)} returns a list \\axiom{\\spad{lts}} of triangular sets such that the zero set of \\axiom{\\spad{ps}} is the union of the regular zero sets of the members of \\axiom{\\spad{lts}}. This is made by the Ritt and Wu Wen Tsun process applying the operation \\axiom{characteristicSet(\\spad{ps},{}redOp?,{}redOp)} to compute characteristic sets in Wu Wen Tsun sense.")) (|characteristicSet| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{characteristicSet(\\spad{ps})} returns the same as \\axiom{characteristicSet(\\spad{ps},{}initiallyReduced?,{}initiallyReduce)}.") (((|Union| $ "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{characteristicSet(\\spad{ps},{}redOp?,{}redOp)} returns a non-contradictory characteristic set of \\axiom{\\spad{ps}} in Wu Wen Tsun sense \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?} (using \\axiom{redOp} to reduce polynomials \\spad{w}.\\spad{r}.\\spad{t} a \\axiom{redOp?} basic set),{} if no non-zero constant polynomial appear during those reductions,{} else \\axiom{\"failed\"} is returned. The operations \\axiom{redOp} and \\axiom{redOp?} must satisfy the following conditions: \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} holds for every polynomials \\axiom{\\spad{p},{}\\spad{q}} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that we have \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|medialSet| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{medial(\\spad{ps})} returns the same as \\axiom{medialSet(\\spad{ps},{}initiallyReduced?,{}initiallyReduce)}.") (((|Union| $ "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{medialSet(\\spad{ps},{}redOp?,{}redOp)} returns \\axiom{\\spad{bs}} a basic set (in Wu Wen Tsun sense \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?}) of some set generating the same ideal as \\axiom{\\spad{ps}} (with rank not higher than any basic set of \\axiom{\\spad{ps}}),{} if no non-zero constant polynomials appear during the computatioms,{} else \\axiom{\"failed\"} is returned. In the former case,{} \\axiom{\\spad{bs}} has to be understood as a candidate for being a characteristic set of \\axiom{\\spad{ps}}. In the original algorithm,{} \\axiom{\\spad{bs}} is simply a basic set of \\axiom{\\spad{ps}}."))) 
-((-4522 . T) (-4521 . T)) 
-((|HasCategory| |#4| (LIST (QUOTE -609) (QUOTE (-541)))) (|HasCategory| |#4| (QUOTE (-1090))) (-12 (|HasCategory| |#4| (LIST (QUOTE -303) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1090)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#3| (QUOTE (-370)))) 
-(-1256 R) 
+((-4536 . T) (-4535 . T)) 
+((|HasCategory| |#4| (LIST (QUOTE -610) (QUOTE (-542)))) (|HasCategory| |#4| (QUOTE (-1091))) (-12 (|HasCategory| |#4| (LIST (QUOTE -304) (|devaluate| |#4|))) (|HasCategory| |#4| (QUOTE (-1091)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#3| (QUOTE (-371)))) 
+(-1259 R) 
 ((|constructor| (NIL "This is the category of algebras over non-commutative rings. It is used by constructors of non-commutative algebras such as XPolynomialRing and XFreeAlgebra")) (|coerce| (($ |#1|) "\\spad{coerce(r)} equals \\spad{r*1}."))) 
-((-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1257 |vl| R) 
+(-1260 |vl| R) 
 ((|constructor| (NIL "This type supports distributed multivariate polynomials whose variables do not commute. The coefficient ring may be non-commutative too. However,{} coefficients and variables commute."))) 
-((-4518 . T) (-4514 |has| |#2| (-6 -4514)) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#2| (QUOTE (-172))) (|HasAttribute| |#2| (QUOTE -4514))) 
-(-1258 R |VarSet| XPOLY) 
+((-4532 . T) (-4528 |has| |#2| (-6 -4528)) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#2| (QUOTE (-173))) (|HasAttribute| |#2| (QUOTE -4528))) 
+(-1261 R |VarSet| XPOLY) 
 ((|constructor| (NIL "This package provides computations of logarithms and exponentials for polynomials in non-commutative variables.")) (|Hausdorff| ((|#3| |#3| |#3| (|NonNegativeInteger|)) "\\axiom{Hausdorff(a,{}\\spad{b},{}\\spad{n})} returns log(exp(a)*exp(\\spad{b})) truncated at order \\axiom{\\spad{n}}.")) (|log| ((|#3| |#3| (|NonNegativeInteger|)) "\\axiom{log(\\spad{p},{} \\spad{n})} returns the logarithm of \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}.")) (|exp| ((|#3| |#3| (|NonNegativeInteger|)) "\\axiom{exp(\\spad{p},{} \\spad{n})} returns the exponential of \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}."))) 
 NIL 
 NIL 
-(-1259 |vl| R) 
+(-1262 |vl| R) 
 ((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,{}x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,{}n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,{}y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,{}r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,{}y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,{}w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,{}v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,{}y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,{}w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,{}v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,{}y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,{}w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) 
-((-4514 |has| |#2| (-6 -4514)) (-4516 . T) (-4515 . T) (-4518 . T)) 
+((-4528 |has| |#2| (-6 -4528)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-1260 S -1478) 
+(-1263 S -1564) 
 ((|constructor| (NIL "ExtensionField \\spad{F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,{}s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-370))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-150)))) 
-(-1261 -1478) 
+((|HasCategory| |#2| (QUOTE (-371))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-151)))) 
+(-1264 -1564) 
 ((|constructor| (NIL "ExtensionField \\spad{F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,{}s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
-((-4513 . T) (-4519 . T) (-4514 . T) ((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+((-4527 . T) (-4533 . T) (-4528 . T) ((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
-(-1262 |VarSet| R) 
+(-1265 |VarSet| R) 
 ((|constructor| (NIL "This domain constructor implements polynomials in non-commutative variables written in the Poincare-Birkhoff-Witt basis from the Lyndon basis. These polynomials can be used to compute Baker-Campbell-Hausdorff relations.")) (|log| (($ $ (|NonNegativeInteger|)) "\\axiom{log(\\spad{p},{}\\spad{n})} returns the logarithm of \\axiom{\\spad{p}} (truncated up to order \\axiom{\\spad{n}}).")) (|exp| (($ $ (|NonNegativeInteger|)) "\\axiom{exp(\\spad{p},{}\\spad{n})} returns the exponential of \\axiom{\\spad{p}} (truncated up to order \\axiom{\\spad{n}}).")) (|product| (($ $ $ (|NonNegativeInteger|)) "\\axiom{product(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a*b} (truncated up to order \\axiom{\\spad{n}}).")) (|LiePolyIfCan| (((|Union| (|LiePolynomial| |#1| |#2|) "failed") $) "\\axiom{LiePolyIfCan(\\spad{p})} return \\axiom{\\spad{p}} if \\axiom{\\spad{p}} is a Lie polynomial.")) (|coerce| (((|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{p})} returns \\axiom{\\spad{p}} as a recursive polynomial.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{p})} returns \\axiom{\\spad{p}} as a distributed polynomial.") (($ (|LiePolynomial| |#1| |#2|)) "\\axiom{coerce(\\spad{p})} returns \\axiom{\\spad{p}}."))) 
-((-4514 |has| |#2| (-6 -4514)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (LIST (QUOTE -707) (LIST (QUOTE -409) (QUOTE (-568))))) (|HasAttribute| |#2| (QUOTE -4514))) 
-(-1263 |vl| R) 
+((-4528 |has| |#2| (-6 -4528)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-173))) (|HasCategory| |#2| (LIST (QUOTE -708) (LIST (QUOTE -410) (QUOTE (-569))))) (|HasAttribute| |#2| (QUOTE -4528))) 
+(-1266 |vl| R) 
 ((|constructor| (NIL "The Category of polynomial rings with non-commutative variables. The coefficient ring may be non-commutative too. However coefficients commute with vaiables.")) (|trunc| (($ $ (|NonNegativeInteger|)) "\\spad{trunc(p,{}n)} returns the polynomial \\spad{p} truncated at order \\spad{n}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} returns the degree of \\spad{p}. \\indented{1}{Note that the degree of a word is its length.}")) (|maxdeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{maxdeg(p)} returns the greatest leading word in the support of \\spad{p}."))) 
-((-4514 |has| |#2| (-6 -4514)) (-4516 . T) (-4515 . T) (-4518 . T)) 
+((-4528 |has| |#2| (-6 -4528)) (-4530 . T) (-4529 . T) (-4532 . T)) 
 NIL 
-(-1264 R) 
+(-1267 R) 
 ((|constructor| (NIL "This type supports multivariate polynomials whose set of variables is \\spadtype{Symbol}. The representation is recursive. The coefficient ring may be non-commutative and the variables do not commute. However,{} coefficients and variables commute."))) 
-((-4514 |has| |#1| (-6 -4514)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasAttribute| |#1| (QUOTE -4514))) 
-(-1265 R E) 
+((-4528 |has| |#1| (-6 -4528)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasAttribute| |#1| (QUOTE -4528))) 
+(-1268 R E) 
 ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and words belonging to an arbitrary \\spadtype{OrderedMonoid}. This type is used,{} for instance,{} by the \\spadtype{XDistributedPolynomial} domain constructor where the Monoid is free.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (/ (($ $ |#1|) "\\spad{p/r} returns \\spad{p*(1/r)}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,{}x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(p)} is zero.")) (|constant| ((|#1| $) "\\spad{constant(p)} return the constant term of \\spad{p}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(p)} tests whether the polynomial \\spad{p} belongs to the coefficient ring.")) (|coef| ((|#1| $ |#2|) "\\spad{coef(p,{}e)} extracts the coefficient of the monomial \\spad{e}. Returns zero if \\spad{e} is not present.")) (|reductum| (($ $) "\\spad{reductum(p)} returns \\spad{p} minus its leading term. An error is produced if \\spad{p} is zero.")) (|mindeg| ((|#2| $) "\\spad{mindeg(p)} returns the smallest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|maxdeg| ((|#2| $) "\\spad{maxdeg(p)} returns the greatest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|coerce| (($ |#2|) "\\spad{coerce(e)} returns \\spad{1*e}")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# p} returns the number of terms in \\spad{p}.")) (* (($ $ |#1|) "\\spad{p*r} returns the product of \\spad{p} by \\spad{r}."))) 
-((-4518 . T) (-4519 |has| |#1| (-6 -4519)) (-4514 |has| |#1| (-6 -4514)) (-4516 . T) (-4515 . T)) 
-((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-365))) (|HasAttribute| |#1| (QUOTE -4518)) (|HasAttribute| |#1| (QUOTE -4519)) (|HasAttribute| |#1| (QUOTE -4514))) 
-(-1266 |VarSet| R) 
+((-4532 . T) (-4533 |has| |#1| (-6 -4533)) (-4528 |has| |#1| (-6 -4528)) (-4530 . T) (-4529 . T)) 
+((|HasCategory| |#1| (QUOTE (-173))) (|HasCategory| |#1| (QUOTE (-366))) (|HasAttribute| |#1| (QUOTE -4532)) (|HasAttribute| |#1| (QUOTE -4533)) (|HasAttribute| |#1| (QUOTE -4528))) 
+(-1269 |VarSet| R) 
 ((|constructor| (NIL "This type supports multivariate polynomials whose variables do not commute. The representation is recursive. The coefficient ring may be non-commutative. Coefficients and variables commute.")) (|RemainderList| (((|List| (|Record| (|:| |k| |#1|) (|:| |c| $))) $) "\\spad{RemainderList(p)} returns the regular part of \\spad{p} as a list of terms.")) (|unexpand| (($ (|XDistributedPolynomial| |#1| |#2|)) "\\spad{unexpand(p)} returns \\spad{p} in recursive form.")) (|expand| (((|XDistributedPolynomial| |#1| |#2|) $) "\\spad{expand(p)} returns \\spad{p} in distributed form."))) 
-((-4514 |has| |#2| (-6 -4514)) (-4516 . T) (-4515 . T) (-4518 . T)) 
-((|HasCategory| |#2| (QUOTE (-172))) (|HasAttribute| |#2| (QUOTE -4514))) 
-(-1267 A) 
+((-4528 |has| |#2| (-6 -4528)) (-4530 . T) (-4529 . T) (-4532 . T)) 
+((|HasCategory| |#2| (QUOTE (-173))) (|HasAttribute| |#2| (QUOTE -4528))) 
+(-1270 A) 
 ((|constructor| (NIL "This package implements fixed-point computations on streams.")) (Y (((|List| (|Stream| |#1|)) (|Mapping| (|List| (|Stream| |#1|)) (|List| (|Stream| |#1|))) (|Integer|)) "\\spad{Y(g,{}n)} computes a fixed point of the function \\spad{g},{} where \\spad{g} takes a list of \\spad{n} streams and returns a list of \\spad{n} streams.") (((|Stream| |#1|) (|Mapping| (|Stream| |#1|) (|Stream| |#1|))) "\\spad{Y(f)} computes a fixed point of the function \\spad{f}."))) 
 NIL 
 NIL 
-(-1268 R |ls| |ls2|) 
+(-1271 R |ls| |ls2|) 
 ((|constructor| (NIL "A package for computing symbolically the complex and real roots of zero-dimensional algebraic systems over the integer or rational numbers. Complex roots are given by means of univariate representations of irreducible regular chains. Real roots are given by means of tuples of coordinates lying in the \\spadtype{RealClosure} of the coefficient ring. This constructor takes three arguments. The first one \\spad{R} is the coefficient ring. The second one \\spad{ls} is the list of variables involved in the systems to solve. The third one must be \\spad{concat(ls,{}s)} where \\spad{s} is an additional symbol used for the univariate representations. WARNING. The third argument is not checked. All operations are based on triangular decompositions. The default is to compute these decompositions directly from the input system by using the \\spadtype{RegularChain} domain constructor. The lexTriangular algorithm can also be used for computing these decompositions (see \\spadtype{LexTriangularPackage} package constructor). For that purpose,{} the operations univariateSolve,{} realSolve and positiveSolve admit an optional argument.")) (|convert| (((|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#3|))) (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#3|)) (|OrderedVariableList| |#3|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#3|)))) "\\spad{convert(st)} returns the members of \\spad{st}.") (((|SparseUnivariatePolynomial| (|RealClosure| (|Fraction| |#1|))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{convert(u)} converts \\spad{u}.") (((|Polynomial| (|RealClosure| (|Fraction| |#1|))) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#3|))) "\\spad{convert(q)} converts \\spad{q}.") (((|Polynomial| (|RealClosure| (|Fraction| |#1|))) (|Polynomial| |#1|)) "\\spad{convert(p)} converts \\spad{p}.") (((|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#3|)) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) "\\spad{convert(q)} converts \\spad{q}.")) (|squareFree| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#3|)) (|OrderedVariableList| |#3|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#3|)))) (|RegularChain| |#1| |#2|)) "\\spad{squareFree(ts)} returns the square-free factorization of \\spad{ts}. Moreover,{} each factor is a Lazard triangular set and the decomposition is a Kalkbrener split of \\spad{ts},{} which is enough here for the matter of solving zero-dimensional algebraic systems. WARNING. \\spad{ts} is not checked to be zero-dimensional.")) (|positiveSolve| (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|))) "\\spad{positiveSolve(lp)} returns the same as \\spad{positiveSolve(lp,{}false,{}false)}.") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|)) (|Boolean|)) "\\spad{positiveSolve(lp)} returns the same as \\spad{positiveSolve(lp,{}info?,{}false)}.") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|)) "\\spad{positiveSolve(lp,{}info?,{}lextri?)} returns the set of the points in the variety associated with \\spad{lp} whose coordinates are (real) strictly positive. Moreover,{} if \\spad{info?} is \\spad{true} then some information is displayed during decomposition into regular chains. If \\spad{lextri?} is \\spad{true} then the lexTriangular algorithm is called from the \\spadtype{LexTriangularPackage} constructor (see zeroSetSplit from LexTriangularPackage(\\spad{lp},{}\\spad{false})). Otherwise,{} the triangular decomposition is computed directly from the input system by using the zeroSetSplit from \\spadtype{RegularChain}. WARNING. For each set of coordinates given by \\spad{positiveSolve(lp,{}info?,{}lextri?)} the ordering of the indeterminates is reversed \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ls}.") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|RegularChain| |#1| |#2|)) "\\spad{positiveSolve(ts)} returns the points of the regular set of \\spad{ts} with (real) strictly positive coordinates.")) (|realSolve| (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|))) "\\spad{realSolve(lp)} returns the same as \\spad{realSolve(ts,{}false,{}false,{}false)}") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|)) (|Boolean|)) "\\spad{realSolve(ts,{}info?)} returns the same as \\spad{realSolve(ts,{}info?,{}false,{}false)}.") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|)) "\\spad{realSolve(ts,{}info?,{}check?)} returns the same as \\spad{realSolve(ts,{}info?,{}check?,{}false)}.") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|) (|Boolean|)) "\\spad{realSolve(ts,{}info?,{}check?,{}lextri?)} returns the set of the points in the variety associated with \\spad{lp} whose coordinates are all real. Moreover,{} if \\spad{info?} is \\spad{true} then some information is displayed during decomposition into regular chains. If \\spad{check?} is \\spad{true} then the result is checked. If \\spad{lextri?} is \\spad{true} then the lexTriangular algorithm is called from the \\spadtype{LexTriangularPackage} constructor (see zeroSetSplit from LexTriangularPackage(\\spad{lp},{}\\spad{false})). Otherwise,{} the triangular decomposition is computed directly from the input system by using the zeroSetSplit from \\spadtype{RegularChain}. WARNING. For each set of coordinates given by \\spad{realSolve(ts,{}info?,{}check?,{}lextri?)} the ordering of the indeterminates is reversed \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ls}.") (((|List| (|List| (|RealClosure| (|Fraction| |#1|)))) (|RegularChain| |#1| |#2|)) "\\spad{realSolve(ts)} returns the set of the points in the regular zero set of \\spad{ts} whose coordinates are all real. WARNING. For each set of coordinates given by \\spad{realSolve(ts)} the ordering of the indeterminates is reversed \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ls}.")) (|univariateSolve| (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|))) "\\spad{univariateSolve(lp)} returns the same as \\spad{univariateSolve(lp,{}false,{}false,{}false)}.") (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|Boolean|)) "\\spad{univariateSolve(lp,{}info?)} returns the same as \\spad{univariateSolve(lp,{}info?,{}false,{}false)}.") (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|)) "\\spad{univariateSolve(lp,{}info?,{}check?)} returns the same as \\spad{univariateSolve(lp,{}info?,{}check?,{}false)}.") (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|) (|Boolean|)) "\\spad{univariateSolve(lp,{}info?,{}check?,{}lextri?)} returns a univariate representation of the variety associated with \\spad{lp}. Moreover,{} if \\spad{info?} is \\spad{true} then some information is displayed during the decomposition into regular chains. If \\spad{check?} is \\spad{true} then the result is checked. See rur from RationalUnivariateRepresentationPackage(\\spad{lp},{}\\spad{true}). If \\spad{lextri?} is \\spad{true} then the lexTriangular algorithm is called from the \\spadtype{LexTriangularPackage} constructor (see zeroSetSplit from LexTriangularPackage(\\spad{lp},{}\\spad{false})). Otherwise,{} the triangular decomposition is computed directly from the input system by using the zeroSetSplit from RegularChain") (((|List| (|Record| (|:| |complexRoots| (|SparseUnivariatePolynomial| |#1|)) (|:| |coordinates| (|List| (|Polynomial| |#1|))))) (|RegularChain| |#1| |#2|)) "\\spad{univariateSolve(ts)} returns a univariate representation of \\spad{ts}. See rur from RationalUnivariateRepresentationPackage(\\spad{lp},{}\\spad{true}).")) (|triangSolve| (((|List| (|RegularChain| |#1| |#2|)) (|List| (|Polynomial| |#1|))) "\\spad{triangSolve(lp)} returns the same as \\spad{triangSolve(lp,{}false,{}false)}") (((|List| (|RegularChain| |#1| |#2|)) (|List| (|Polynomial| |#1|)) (|Boolean|)) "\\spad{triangSolve(lp,{}info?)} returns the same as \\spad{triangSolve(lp,{}false)}") (((|List| (|RegularChain| |#1| |#2|)) (|List| (|Polynomial| |#1|)) (|Boolean|) (|Boolean|)) "\\spad{triangSolve(lp,{}info?,{}lextri?)} decomposes the variety associated with \\axiom{\\spad{lp}} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{\\spad{lp}} needs to generate a zero-dimensional ideal. If \\axiom{\\spad{lp}} is not zero-dimensional then the result is only a decomposition of its zero-set in the sense of the closure (\\spad{w}.\\spad{r}.\\spad{t}. Zarisky topology). Moreover,{} if \\spad{info?} is \\spad{true} then some information is displayed during the computations. See zeroSetSplit from RegularTriangularSetCategory(\\spad{lp},{}\\spad{true},{}\\spad{info?}). If \\spad{lextri?} is \\spad{true} then the lexTriangular algorithm is called from the \\spadtype{LexTriangularPackage} constructor (see zeroSetSplit from LexTriangularPackage(\\spad{lp},{}\\spad{false})). Otherwise,{} the triangular decomposition is computed directly from the input system by using the zeroSetSplit from RegularChain"))) 
 NIL 
 NIL 
-(-1269 R) 
+(-1272 R) 
 ((|constructor| (NIL "Test for linear dependence over the integers.")) (|solveLinearlyOverQ| (((|Union| (|Vector| (|Fraction| (|Integer|))) "failed") (|Vector| |#1|) |#1|) "\\spad{solveLinearlyOverQ([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such rational numbers \\spad{ci}\\spad{'s} exist.")) (|linearDependenceOverZ| (((|Union| (|Vector| (|Integer|)) "failed") (|Vector| |#1|)) "\\spad{linearlyDependenceOverZ([v1,{}...,{}vn])} returns \\spad{[c1,{}...,{}cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over the integers.")) (|linearlyDependentOverZ?| (((|Boolean|) (|Vector| |#1|)) "\\spad{linearlyDependentOverZ?([v1,{}...,{}vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over the integers,{} \\spad{false} otherwise."))) 
 NIL 
 NIL 
-(-1270 |p|) 
+(-1273 |p|) 
 ((|constructor| (NIL "IntegerMod(\\spad{n}) creates the ring of integers reduced modulo the integer \\spad{n}."))) 
-(((-4523 "*") . T) (-4515 . T) (-4516 . T) (-4518 . T)) 
+(((-4537 "*") . T) (-4529 . T) (-4530 . T) (-4532 . T)) 
 NIL 
 NIL 
 NIL 
@@ -5032,4 +5044,4 @@
 NIL 
 NIL 
 NIL 
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(-1126 "bookvol10.3.pamphlet" 2124086 2124099 2128970 2128997) (-1125 "bookvol10.3.pamphlet" 2120626 2120639 2124076 2124081) (-1124 "bookvol10.2.pamphlet" 2119403 2119412 2120616 2120621) (-1123 "bookvol10.4.pamphlet" 2117968 2117977 2119393 2119398) (-1122 "bookvol10.2.pamphlet" 2101795 2101806 2117958 2117963) (-1121 "bookvol10.3.pamphlet" 2101571 2101582 2101785 2101790) (-1120 "bookvol10.4.pamphlet" 2101116 2101129 2101527 2101532) (-1119 "bookvol10.4.pamphlet" 2098709 2098720 2101106 2101111) (-1118 "bookvol10.4.pamphlet" 2097274 2097285 2098699 2098704) (-1117 "bookvol10.4.pamphlet" 2090701 2090712 2097264 2097269) (-1116 "bookvol10.4.pamphlet" 2089121 2089139 2090691 2090696) (-1115 "bookvol10.2.pamphlet" 2088888 2088905 2089077 2089116) (-1114 "bookvol10.3.pamphlet" 2087004 2087030 2088453 2088550) (-1113 "bookvol10.3.pamphlet" 2084458 2084478 2084833 2084960) (-1112 "bookvol10.4.pamphlet" 2083301 2083326 2084448 2084453) (-1111 "bookvol10.2.pamphlet" 2081399 2081429 2083233 2083296) (-1110 NIL 2079441 2079473 2081277 2081282) (-1109 "bookvol10.2.pamphlet" 2077879 2077890 2079397 2079436) (-1108 "bookvol10.3.pamphlet" 2076244 2076253 2077745 2077874) (-1107 "bookvol10.4.pamphlet" 2075987 2075996 2076234 2076239) (-1106 "bookvol10.4.pamphlet" 2075095 2075106 2075977 2075982) (-1105 "bookvol10.4.pamphlet" 2074364 2074381 2075085 2075090) (-1104 "bookvol10.4.pamphlet" 2072234 2072249 2074320 2074325) (-1103 "bookvol10.3.pamphlet" 2063947 2063974 2064449 2064580) (-1102 "bookvol10.2.pamphlet" 2063182 2063191 2063937 2063942) (-1101 NIL 2062415 2062426 2063172 2063177) (-1100 "bookvol10.4.pamphlet" 2055441 2055450 2062405 2062410) (-1099 "bookvol10.2.pamphlet" 2054920 2054937 2055397 2055436) (-1098 "bookvol10.4.pamphlet" 2054619 2054639 2054910 2054915) (-1097 "bookvol10.4.pamphlet" 2049944 2049964 2054609 2054614) (-1096 "bookvol10.3.pamphlet" 2049379 2049393 2049934 2049939) (-1095 "bookvol10.3.pamphlet" 2049222 2049262 2049369 2049374) (-1094 "bookvol10.3.pamphlet" 2049114 2049123 2049212 2049217) (-1093 "bookvol10.2.pamphlet" 2046203 2046243 2049104 2049109) (-1092 "bookvol10.3.pamphlet" 2044513 2044524 2045680 2045719) (-1091 "bookvol10.3.pamphlet" 2042931 2042948 2044503 2044508) (-1090 "bookvol10.2.pamphlet" 2042413 2042422 2042921 2042926) (-1089 NIL 2041893 2041904 2042403 2042408) (-1088 "bookvol10.2.pamphlet" 2041782 2041791 2041883 2041888) (-1087 "bookvol10.2.pamphlet" 2038270 2038281 2041750 2041777) (-1086 NIL 2034778 2034791 2038260 2038265) (-1085 "bookvol10.2.pamphlet" 2033890 2033903 2034758 2034773) (-1084 "bookvol10.3.pamphlet" 2033703 2033714 2033809 2033814) (-1083 "bookvol10.2.pamphlet" 2032509 2032520 2033683 2033698) (-1082 "bookvol10.3.pamphlet" 2031581 2031592 2032464 2032469) (-1081 "bookvol10.4.pamphlet" 2031277 2031290 2031571 2031576) (-1080 "bookvol10.4.pamphlet" 2030702 2030715 2031233 2031238) (-1079 "bookvol10.3.pamphlet" 2029978 2029989 2030692 2030697) (-1078 "bookvol10.3.pamphlet" 2027380 2027391 2027659 2027786) (-1077 "bookvol10.4.pamphlet" 2025459 2025470 2027370 2027375) (-1076 "bookvol10.4.pamphlet" 2024340 2024351 2025449 2025454) (-1075 "bookvol10.3.pamphlet" 2024212 2024221 2024330 2024335) (-1074 "bookvol10.4.pamphlet" 2023925 2023945 2024202 2024207) (-1073 "bookvol10.3.pamphlet" 2022046 2022062 2022711 2022846) (-1072 "bookvol10.4.pamphlet" 2021747 2021767 2022036 2022041) (-1071 "bookvol10.4.pamphlet" 2019433 2019449 2021737 2021742) (-1070 "bookvol10.3.pamphlet" 2018835 2018859 2019423 2019428) (-1069 "bookvol10.3.pamphlet" 2017179 2017203 2018825 2018830) (-1068 "bookvol10.3.pamphlet" 2017031 2017044 2017169 2017174) (-1067 "bookvol10.4.pamphlet" 2014099 2014119 2017021 2017026) (-1066 "bookvol10.2.pamphlet" 2004559 2004576 2014055 2014094) (-1065 NIL 1995051 1995070 2004549 2004554) (-1064 "bookvol10.4.pamphlet" 1993685 1993705 1995041 1995046) (-1063 "bookvol10.2.pamphlet" 1992069 1992099 1993675 1993680) (-1062 NIL 1990451 1990483 1992059 1992064) (-1061 "bookvol10.2.pamphlet" 1969767 1969782 1990319 1990446) (-1060 NIL 1948797 1948814 1969351 1969356) (-1059 "bookvol10.3.pamphlet" 1945242 1945251 1948026 1948053) (-1058 "bookvol10.3.pamphlet" 1944489 1944498 1945108 1945237) (-1057 NIL 1943569 1943601 1944479 1944484) (-1056 "bookvol10.2.pamphlet" 1942472 1942481 1943471 1943564) (-1055 NIL 1941461 1941472 1942462 1942467) (-1054 "bookvol10.2.pamphlet" 1940983 1940992 1941451 1941456) (-1053 "bookvol10.2.pamphlet" 1940460 1940471 1940973 1940978) (-1052 "bookvol10.4.pamphlet" 1939868 1939925 1940450 1940455) (-1051 "bookvol10.3.pamphlet" 1938603 1938622 1939091 1939130) (-1050 "bookvol10.2.pamphlet" 1934120 1934151 1938547 1938598) (-1049 NIL 1929539 1929572 1933968 1933973) (-1048 "bookvol10.4.pamphlet" 1929427 1929447 1929529 1929534) (-1047 "bookvol10.2.pamphlet" 1928780 1928789 1929407 1929422) (-1046 NIL 1928141 1928152 1928770 1928775) (-1045 "bookvol10.4.pamphlet" 1927035 1927044 1928131 1928136) (-1044 "bookvol10.3.pamphlet" 1925700 1925716 1926595 1926622) (-1043 "bookvol10.4.pamphlet" 1923742 1923753 1925690 1925695) (-1042 "bookvol10.4.pamphlet" 1921356 1921367 1923732 1923737) (-1041 "bookvol10.4.pamphlet" 1920818 1920829 1921346 1921351) (-1040 "bookvol10.4.pamphlet" 1920553 1920565 1920808 1920813) (-1039 "bookvol10.4.pamphlet" 1919541 1919550 1920543 1920548) (-1038 "bookvol10.4.pamphlet" 1918958 1918971 1919531 1919536) (-1037 "bookvol10.2.pamphlet" 1918307 1918318 1918948 1918953) (-1036 NIL 1917654 1917667 1918297 1918302) (-1035 "bookvol10.3.pamphlet" 1916296 1916305 1916883 1916910) (-1034 "bookvol10.3.pamphlet" 1915643 1915690 1916234 1916291) (-1033 "bookvol10.4.pamphlet" 1914967 1914978 1915633 1915638) (-1032 "bookvol10.4.pamphlet" 1914696 1914707 1914957 1914962) (-1031 "bookvol10.4.pamphlet" 1912248 1912257 1914686 1914691) (-1030 "bookvol10.4.pamphlet" 1911953 1911964 1912238 1912243) (-1029 "bookvol10.4.pamphlet" 1901395 1901406 1911795 1911800) (-1028 "bookvol10.4.pamphlet" 1895371 1895382 1901345 1901350) (-1027 "bookvol10.3.pamphlet" 1893462 1893479 1895073 1895100) (-1026 "bookvol10.3.pamphlet" 1892806 1892817 1893417 1893422) (-1025 "bookvol10.4.pamphlet" 1891982 1891999 1892796 1892801) (-1024 "bookvol10.4.pamphlet" 1890279 1890296 1891937 1891942) (-1023 "bookvol10.3.pamphlet" 1889062 1889082 1889766 1889859) (-1022 "bookvol10.4.pamphlet" 1887517 1887526 1889052 1889057) (-1021 "bookvol10.2.pamphlet" 1887389 1887398 1887507 1887512) (-1020 "bookvol10.4.pamphlet" 1884686 1884701 1887379 1887384) (-1019 "bookvol10.4.pamphlet" 1881529 1881544 1884676 1884681) (-1018 "bookvol10.4.pamphlet" 1881274 1881299 1881519 1881524) (-1017 "bookvol10.4.pamphlet" 1880837 1880848 1881264 1881269) (-1016 "bookvol10.4.pamphlet" 1879737 1879755 1880827 1880832) (-1015 "bookvol10.4.pamphlet" 1877942 1877960 1879727 1879732) (-1014 "bookvol10.4.pamphlet" 1877167 1877184 1877932 1877937) (-1013 "bookvol10.4.pamphlet" 1876317 1876334 1877157 1877162) (-1012 "bookvol10.2.pamphlet" 1873500 1873509 1876219 1876312) (-1011 NIL 1870769 1870780 1873490 1873495) (-1010 "bookvol10.2.pamphlet" 1868678 1868689 1870749 1870764) (-1009 NIL 1866524 1866537 1868597 1868602) (-1008 "bookvol10.4.pamphlet" 1865941 1865952 1866514 1866519) (-1007 "bookvol10.4.pamphlet" 1865125 1865137 1865931 1865936) (-1006 "bookvol10.4.pamphlet" 1864482 1864491 1865115 1865120) (-1005 "bookvol10.4.pamphlet" 1864236 1864245 1864472 1864477) (-1004 "bookvol10.3.pamphlet" 1861021 1861035 1862703 1862796) (-1003 "bookvol10.3.pamphlet" 1859434 1859471 1859553 1859709) (-1002 "bookvol10.2.pamphlet" 1859027 1859036 1859424 1859429) (-1001 NIL 1858618 1858629 1859017 1859022) (-1000 "bookvol10.3.pamphlet" 1854007 1854018 1858448 1858475) (-999 "bookvol10.3.pamphlet" 1852634 1852644 1852931 1852996) (-998 "bookvol10.4.pamphlet" 1851957 1851975 1852624 1852629) (-997 "bookvol10.2.pamphlet" 1850118 1850128 1851887 1851952) (-996 NIL 1848030 1848042 1849801 1849806) (-995 "bookvol10.2.pamphlet" 1846836 1846846 1847986 1848025) (-994 "bookvol10.3.pamphlet" 1846299 1846313 1846826 1846831) (-993 "bookvol10.2.pamphlet" 1844990 1845000 1846189 1846294) (-992 NIL 1843284 1843296 1844485 1844490) (-991 "bookvol10.4.pamphlet" 1842975 1842991 1843274 1843279) (-990 "bookvol10.3.pamphlet" 1842532 1842540 1842965 1842970) (-989 "bookvol10.4.pamphlet" 1837934 1837953 1842522 1842527) (-988 "bookvol10.3.pamphlet" 1834009 1834041 1837848 1837853) (-987 "bookvol10.4.pamphlet" 1832005 1832023 1833999 1834004) (-986 "bookvol10.4.pamphlet" 1829315 1829336 1831995 1832000) (-985 "bookvol10.4.pamphlet" 1828642 1828661 1829305 1829310) (-984 "bookvol10.2.pamphlet" 1824768 1824778 1828632 1828637) (-983 "bookvol10.4.pamphlet" 1821852 1821862 1824758 1824763) (-982 "bookvol10.4.pamphlet" 1821669 1821683 1821842 1821847) (-981 "bookvol10.2.pamphlet" 1820751 1820761 1821625 1821664) (-980 "bookvol10.4.pamphlet" 1820058 1820082 1820741 1820746) (-979 "bookvol10.4.pamphlet" 1818916 1818926 1820048 1820053) (-978 "bookvol10.4.pamphlet" 1804317 1804333 1818794 1818799) (-977 "bookvol10.2.pamphlet" 1798210 1798233 1804285 1804312) (-976 NIL 1792089 1792114 1798166 1798171) (-975 "bookvol10.2.pamphlet" 1791072 1791080 1792079 1792084) (-974 "bookvol10.2.pamphlet" 1789835 1789864 1790970 1791067) (-973 NIL 1788688 1788719 1789825 1789830) (-972 "bookvol10.3.pamphlet" 1787503 1787511 1788678 1788683) (-971 "bookvol10.2.pamphlet" 1784836 1784846 1787493 1787498) (-970 "bookvol10.4.pamphlet" 1774981 1774998 1784792 1784797) (-969 "bookvol10.2.pamphlet" 1774400 1774410 1774937 1774976) (-968 "bookvol10.3.pamphlet" 1774282 1774298 1774390 1774395) (-967 "bookvol10.3.pamphlet" 1774170 1774180 1774272 1774277) (-966 "bookvol10.3.pamphlet" 1774058 1774068 1774160 1774165) (-965 "bookvol10.3.pamphlet" 1771459 1771471 1772024 1772079) (-964 "bookvol10.3.pamphlet" 1769845 1769857 1770550 1770677) (-963 "bookvol10.4.pamphlet" 1769049 1769088 1769835 1769840) (-962 "bookvol10.4.pamphlet" 1768801 1768809 1769039 1769044) (-961 "bookvol10.4.pamphlet" 1767044 1767054 1768791 1768796) (-960 "bookvol10.4.pamphlet" 1765017 1765031 1767034 1767039) (-959 "bookvol10.2.pamphlet" 1764640 1764648 1765007 1765012) (-958 "bookvol10.3.pamphlet" 1763883 1763893 1764046 1764073) (-957 "bookvol10.4.pamphlet" 1761775 1761787 1763873 1763878) (-956 "bookvol10.4.pamphlet" 1761147 1761159 1761765 1761770) (-955 "bookvol10.2.pamphlet" 1760284 1760292 1761137 1761142) (-954 "bookvol10.4.pamphlet" 1759056 1759078 1760240 1760245) (-953 "bookvol10.3.pamphlet" 1756368 1756378 1756870 1756997) (-952 "bookvol10.4.pamphlet" 1755629 1755652 1756358 1756363) (-951 "bookvol10.4.pamphlet" 1753693 1753715 1755619 1755624) (-950 "bookvol10.2.pamphlet" 1747095 1747116 1753561 1753688) (-949 NIL 1739799 1739822 1746267 1746272) (-948 "bookvol10.4.pamphlet" 1739247 1739261 1739789 1739794) (-947 "bookvol10.4.pamphlet" 1738857 1738869 1739237 1739242) (-946 "bookvol10.4.pamphlet" 1737798 1737827 1738813 1738818) (-945 "bookvol10.4.pamphlet" 1736546 1736561 1737788 1737793) (-944 "bookvol10.3.pamphlet" 1735607 1735617 1735694 1735721) (-943 "bookvol10.4.pamphlet" 1732247 1732255 1735597 1735602) (-942 "bookvol10.4.pamphlet" 1731004 1731018 1732237 1732242) (-941 "bookvol10.4.pamphlet" 1730549 1730559 1730994 1730999) (-940 "bookvol10.4.pamphlet" 1730136 1730150 1730539 1730544) (-939 "bookvol10.4.pamphlet" 1729662 1729676 1730126 1730131) (-938 "bookvol10.4.pamphlet" 1729163 1729185 1729652 1729657) (-937 "bookvol10.4.pamphlet" 1728233 1728251 1729095 1729100) (-936 "bookvol10.4.pamphlet" 1727814 1727828 1728223 1728228) (-935 "bookvol10.4.pamphlet" 1727381 1727393 1727804 1727809) (-934 "bookvol10.4.pamphlet" 1726957 1726967 1727371 1727376) (-933 "bookvol10.4.pamphlet" 1726530 1726548 1726947 1726952) (-932 "bookvol10.4.pamphlet" 1725812 1725826 1726520 1726525) (-931 "bookvol10.4.pamphlet" 1724881 1724889 1725802 1725807) (-930 "bookvol10.4.pamphlet" 1723907 1723923 1724871 1724876) (-929 "bookvol10.4.pamphlet" 1722805 1722843 1723897 1723902) (-928 "bookvol10.4.pamphlet" 1722585 1722593 1722795 1722800) (-927 "bookvol10.3.pamphlet" 1717257 1717265 1722575 1722580) (-926 "bookvol10.3.pamphlet" 1713659 1713667 1717247 1717252) (-925 "bookvol10.4.pamphlet" 1712792 1712802 1713649 1713654) (-924 "bookvol10.4.pamphlet" 1698749 1698776 1712782 1712787) (-923 "bookvol10.3.pamphlet" 1698656 1698670 1698739 1698744) (-922 "bookvol10.3.pamphlet" 1698567 1698577 1698646 1698651) (-921 "bookvol10.3.pamphlet" 1698478 1698488 1698557 1698562) (-920 "bookvol10.2.pamphlet" 1697506 1697520 1698468 1698473) (-919 "bookvol10.4.pamphlet" 1697122 1697141 1697496 1697501) (-918 "bookvol10.4.pamphlet" 1696904 1696920 1697112 1697117) (-917 "bookvol10.3.pamphlet" 1696526 1696534 1696878 1696899) (-916 "bookvol10.2.pamphlet" 1695482 1695490 1696452 1696521) (-915 "bookvol10.4.pamphlet" 1695211 1695221 1695472 1695477) (-914 "bookvol10.4.pamphlet" 1693823 1693837 1695201 1695206) (-913 "bookvol10.4.pamphlet" 1685189 1685197 1693813 1693818) (-912 "bookvol10.4.pamphlet" 1683739 1683756 1685179 1685184) (-911 "bookvol10.4.pamphlet" 1682754 1682764 1683729 1683734) (-910 "bookvol10.3.pamphlet" 1678122 1678132 1682656 1682749) (-909 "bookvol10.4.pamphlet" 1677477 1677493 1678112 1678117) (-908 "bookvol10.4.pamphlet" 1675512 1675541 1677467 1677472) (-907 "bookvol10.4.pamphlet" 1674882 1674900 1675502 1675507) (-906 "bookvol10.4.pamphlet" 1674301 1674328 1674872 1674877) (-905 "bookvol10.3.pamphlet" 1673968 1673980 1674106 1674199) (-904 "bookvol10.2.pamphlet" 1671634 1671642 1673894 1673963) (-903 NIL 1669328 1669338 1671590 1671595) (-902 "bookvol10.4.pamphlet" 1667213 1667225 1669318 1669323) (-901 "bookvol10.4.pamphlet" 1664813 1664836 1667203 1667208) (-900 "bookvol10.3.pamphlet" 1659799 1659809 1664643 1664658) (-899 "bookvol10.3.pamphlet" 1654489 1654499 1659789 1659794) (-898 "bookvol10.2.pamphlet" 1653042 1653052 1654469 1654484) (-897 "bookvol10.4.pamphlet" 1651705 1651719 1653032 1653037) (-896 "bookvol10.3.pamphlet" 1650975 1650985 1651557 1651562) (-895 "bookvol10.2.pamphlet" 1649269 1649279 1650955 1650970) (-894 NIL 1647571 1647583 1649259 1649264) (-893 "bookvol10.3.pamphlet" 1645676 1645684 1647561 1647566) (-892 "bookvol10.4.pamphlet" 1639468 1639476 1645666 1645671) (-891 "bookvol10.4.pamphlet" 1638768 1638785 1639458 1639463) (-890 "bookvol10.2.pamphlet" 1636912 1636920 1638758 1638763) (-889 "bookvol10.4.pamphlet" 1636601 1636614 1636902 1636907) (-888 "bookvol10.3.pamphlet" 1635243 1635260 1636591 1636596) (-887 "bookvol10.3.pamphlet" 1629674 1629684 1635233 1635238) (-886 "bookvol10.4.pamphlet" 1629411 1629423 1629664 1629669) (-885 "bookvol10.4.pamphlet" 1627701 1627717 1629401 1629406) (-884 "bookvol10.3.pamphlet" 1625240 1625252 1627691 1627696) (-883 "bookvol10.4.pamphlet" 1624894 1624908 1625230 1625235) (-882 "bookvol10.4.pamphlet" 1623051 1623082 1624602 1624607) (-881 "bookvol10.2.pamphlet" 1622476 1622486 1623041 1623046) (-880 "bookvol10.3.pamphlet" 1621560 1621574 1622466 1622471) (-879 "bookvol10.2.pamphlet" 1621324 1621334 1621550 1621555) (-878 "bookvol10.4.pamphlet" 1618686 1618694 1621314 1621319) (-877 "bookvol10.3.pamphlet" 1618114 1618142 1618676 1618681) (-876 "bookvol10.4.pamphlet" 1617905 1617921 1618104 1618109) (-875 "bookvol10.3.pamphlet" 1617333 1617361 1617895 1617900) (-874 "bookvol10.4.pamphlet" 1617118 1617134 1617323 1617328) (-873 "bookvol10.3.pamphlet" 1616576 1616604 1617108 1617113) (-872 "bookvol10.4.pamphlet" 1616361 1616377 1616566 1616571) (-871 "bookvol10.4.pamphlet" 1615152 1615201 1616351 1616356) (-870 "bookvol10.4.pamphlet" 1614564 1614572 1615142 1615147) (-869 "bookvol10.3.pamphlet" 1613534 1613542 1614554 1614559) (-868 "bookvol10.4.pamphlet" 1607917 1607940 1613490 1613495) (-867 "bookvol10.4.pamphlet" 1601736 1601759 1607866 1607871) (-866 "bookvol10.3.pamphlet" 1599066 1599084 1600241 1600334) (-865 "bookvol10.3.pamphlet" 1597081 1597093 1597302 1597395) (-864 "bookvol10.3.pamphlet" 1596776 1596788 1597007 1597076) (-863 "bookvol10.2.pamphlet" 1595332 1595344 1596702 1596771) (-862 "bookvol10.4.pamphlet" 1594261 1594280 1595322 1595327) (-861 "bookvol10.4.pamphlet" 1593242 1593258 1594251 1594256) (-860 "bookvol10.3.pamphlet" 1591843 1591851 1592913 1593006) (-859 "bookvol10.2.pamphlet" 1590593 1590601 1591745 1591838) (-858 "bookvol10.2.pamphlet" 1588656 1588664 1590495 1590588) (-857 "bookvol10.3.pamphlet" 1587381 1587391 1588452 1588545) (-856 "bookvol10.2.pamphlet" 1586134 1586142 1587283 1587376) (-855 "bookvol10.3.pamphlet" 1584439 1584459 1585524 1585617) (-854 "bookvol10.2.pamphlet" 1583181 1583189 1584341 1584434) (-853 "bookvol10.3.pamphlet" 1582165 1582195 1583039 1583106) (-852 "bookvol10.3.pamphlet" 1581946 1581969 1582155 1582160) (-851 "bookvol10.4.pamphlet" 1581030 1581038 1581936 1581941) (-850 "bookvol10.3.pamphlet" 1570444 1570452 1581020 1581025) (-849 "bookvol10.3.pamphlet" 1570033 1570041 1570434 1570439) (-848 "bookvol10.4.pamphlet" 1568494 1568504 1569950 1569955) (-847 "bookvol10.3.pamphlet" 1567852 1567880 1568174 1568213) (-846 "bookvol10.3.pamphlet" 1567151 1567175 1567532 1567571) (-845 "bookvol10.4.pamphlet" 1564985 1564997 1567071 1567076) (-844 "bookvol10.2.pamphlet" 1559131 1559141 1564941 1564980) (-843 NIL 1553167 1553179 1558979 1558984) (-842 "bookvol10.2.pamphlet" 1552333 1552341 1553157 1553162) (-841 NIL 1551497 1551507 1552323 1552328) (-840 "bookvol10.2.pamphlet" 1550831 1550839 1551477 1551492) (-839 NIL 1550173 1550183 1550821 1550826) (-838 "bookvol10.2.pamphlet" 1549927 1549935 1550163 1550168) (-837 "bookvol10.4.pamphlet" 1549068 1549084 1549917 1549922) (-836 "bookvol10.2.pamphlet" 1549002 1549010 1549058 1549063) (-835 "bookvol10.3.pamphlet" 1547488 1547498 1548549 1548578) (-834 "bookvol10.4.pamphlet" 1546828 1546840 1547478 1547483) (-833 "bookvol10.3.pamphlet" 1544512 1544520 1546818 1546823) (-832 "bookvol10.4.pamphlet" 1536696 1536704 1544502 1544507) (-831 "bookvol10.2.pamphlet" 1534162 1534170 1536686 1536691) (-830 "bookvol10.4.pamphlet" 1533711 1533719 1534152 1534157) (-829 "bookvol10.3.pamphlet" 1533453 1533463 1533533 1533600) (-828 "bookvol10.3.pamphlet" 1532227 1532237 1533000 1533029) (-827 "bookvol10.4.pamphlet" 1531700 1531712 1532217 1532222) (-826 "bookvol10.4.pamphlet" 1530702 1530710 1531690 1531695) (-825 "bookvol10.2.pamphlet" 1530478 1530488 1530646 1530697) (-824 "bookvol10.4.pamphlet" 1529090 1529098 1530468 1530473) (-823 "bookvol10.2.pamphlet" 1528055 1528063 1529080 1529085) (-822 "bookvol10.3.pamphlet" 1527480 1527492 1527941 1527980) (-821 "bookvol10.4.pamphlet" 1527314 1527324 1527470 1527475) (-820 "bookvol10.3.pamphlet" 1526857 1526865 1527304 1527309) (-819 "bookvol10.3.pamphlet" 1525891 1525899 1526847 1526852) (-818 "bookvol10.3.pamphlet" 1525235 1525243 1525881 1525886) (-817 "bookvol10.3.pamphlet" 1519524 1519532 1525225 1525230) (-816 "bookvol10.3.pamphlet" 1518933 1518941 1519514 1519519) (-815 "bookvol10.2.pamphlet" 1518708 1518716 1518859 1518928) (-814 "bookvol10.3.pamphlet" 1512079 1512089 1518698 1518703) (-813 "bookvol10.3.pamphlet" 1511340 1511350 1512069 1512074) (-812 "bookvol10.3.pamphlet" 1510788 1510814 1511152 1511301) (-811 "bookvol10.3.pamphlet" 1508146 1508156 1508474 1508601) (-810 "bookvol10.3.pamphlet" 1500003 1500023 1500361 1500492) (-809 "bookvol10.4.pamphlet" 1498582 1498601 1499993 1499998) (-808 "bookvol10.4.pamphlet" 1496232 1496249 1498572 1498577) (-807 "bookvol10.4.pamphlet" 1492175 1492192 1496189 1496194) (-806 "bookvol10.4.pamphlet" 1491562 1491586 1492165 1492170) (-805 "bookvol10.4.pamphlet" 1489128 1489145 1491552 1491557) (-804 "bookvol10.4.pamphlet" 1486019 1486041 1489118 1489123) (-803 "bookvol10.3.pamphlet" 1484605 1484613 1486009 1486014) (-802 "bookvol10.4.pamphlet" 1481909 1481931 1484595 1484600) (-801 "bookvol10.4.pamphlet" 1481285 1481309 1481899 1481904) (-800 "bookvol10.4.pamphlet" 1467647 1467655 1481275 1481280) (-799 "bookvol10.4.pamphlet" 1467078 1467094 1467637 1467642) (-798 "bookvol10.3.pamphlet" 1464473 1464481 1467068 1467073) (-797 "bookvol10.4.pamphlet" 1459840 1459856 1464463 1464468) (-796 "bookvol10.4.pamphlet" 1459359 1459377 1459830 1459835) (-795 "bookvol10.2.pamphlet" 1457744 1457752 1459349 1459354) (-794 "bookvol10.3.pamphlet" 1455880 1455890 1456598 1456637) (-793 "bookvol10.4.pamphlet" 1455516 1455537 1455870 1455875) (-792 "bookvol10.2.pamphlet" 1453290 1453300 1455472 1455511) (-791 NIL 1450789 1450801 1452973 1452978) (-790 "bookvol10.2.pamphlet" 1450637 1450645 1450779 1450784) (-789 "bookvol10.2.pamphlet" 1450385 1450393 1450627 1450632) (-788 "bookvol10.2.pamphlet" 1449677 1449685 1450375 1450380) (-787 "bookvol10.2.pamphlet" 1449538 1449546 1449667 1449672) (-786 "bookvol10.2.pamphlet" 1449400 1449408 1449528 1449533) (-785 "bookvol10.4.pamphlet" 1449123 1449139 1449390 1449395) (-784 "bookvol10.4.pamphlet" 1437440 1437448 1449113 1449118) (-783 "bookvol10.4.pamphlet" 1428199 1428207 1437430 1437435) (-782 "bookvol10.2.pamphlet" 1425538 1425546 1428189 1428194) (-781 "bookvol10.4.pamphlet" 1424378 1424386 1425528 1425533) (-780 "bookvol10.4.pamphlet" 1416450 1416460 1424183 1424188) (-779 "bookvol10.2.pamphlet" 1415747 1415763 1416406 1416445) (-778 "bookvol10.4.pamphlet" 1415292 1415302 1415664 1415669) (-777 "bookvol10.3.pamphlet" 1408281 1408291 1412842 1412995) (-776 "bookvol10.4.pamphlet" 1407673 1407685 1408271 1408276) (-775 "bookvol10.3.pamphlet" 1403868 1403887 1404176 1404303) (-774 "bookvol10.3.pamphlet" 1402392 1402402 1402469 1402562) (-773 "bookvol10.4.pamphlet" 1400764 1400778 1402382 1402387) (-772 "bookvol10.4.pamphlet" 1400656 1400685 1400754 1400759) (-771 "bookvol10.4.pamphlet" 1399902 1399922 1400646 1400651) (-770 "bookvol10.3.pamphlet" 1399790 1399804 1399882 1399897) (-769 "bookvol10.4.pamphlet" 1399384 1399423 1399780 1399785) (-768 "bookvol10.4.pamphlet" 1397918 1397937 1399374 1399379) (-767 "bookvol10.4.pamphlet" 1397606 1397632 1397908 1397913) (-766 "bookvol10.3.pamphlet" 1397347 1397355 1397596 1397601) (-765 "bookvol10.4.pamphlet" 1397023 1397033 1397337 1397342) (-764 "bookvol10.4.pamphlet" 1396492 1396508 1397013 1397018) (-763 "bookvol10.3.pamphlet" 1395382 1395390 1396466 1396487) (-762 "bookvol10.4.pamphlet" 1394004 1394014 1395372 1395377) (-761 "bookvol10.3.pamphlet" 1391602 1391610 1393994 1393999) (-760 "bookvol10.4.pamphlet" 1389062 1389079 1391592 1391597) (-759 "bookvol10.4.pamphlet" 1388315 1388329 1389052 1389057) (-758 "bookvol10.4.pamphlet" 1386427 1386443 1388305 1388310) (-757 "bookvol10.4.pamphlet" 1386084 1386098 1386417 1386422) (-756 "bookvol10.4.pamphlet" 1384244 1384258 1386074 1386079) (-755 "bookvol10.2.pamphlet" 1383840 1383848 1384234 1384239) (-754 NIL 1383434 1383444 1383830 1383835) (-753 "bookvol10.2.pamphlet" 1382720 1382728 1383424 1383429) (-752 NIL 1382004 1382014 1382710 1382715) (-751 "bookvol10.4.pamphlet" 1381077 1381085 1381994 1381999) (-750 "bookvol10.4.pamphlet" 1370643 1370651 1381067 1381072) (-749 "bookvol10.4.pamphlet" 1369079 1369087 1370633 1370638) (-748 "bookvol10.4.pamphlet" 1363253 1363261 1369069 1369074) (-747 "bookvol10.4.pamphlet" 1356997 1357005 1363243 1363248) (-746 "bookvol10.4.pamphlet" 1352619 1352627 1356987 1356992) (-745 "bookvol10.4.pamphlet" 1345993 1346001 1352609 1352614) (-744 "bookvol10.4.pamphlet" 1336388 1336396 1345983 1345988) (-743 "bookvol10.4.pamphlet" 1332315 1332323 1336378 1336383) (-742 "bookvol10.4.pamphlet" 1330190 1330198 1332305 1332310) (-741 "bookvol10.4.pamphlet" 1322636 1322644 1330180 1330185) (-740 "bookvol10.4.pamphlet" 1316792 1316800 1322626 1322631) (-739 "bookvol10.4.pamphlet" 1312622 1312630 1316782 1316787) (-738 "bookvol10.4.pamphlet" 1311134 1311142 1312612 1312617) (-737 "bookvol10.4.pamphlet" 1310432 1310440 1311124 1311129) (-736 "bookvol10.2.pamphlet" 1309938 1309948 1310400 1310427) (-735 NIL 1309464 1309476 1309928 1309933) (-734 "bookvol10.3.pamphlet" 1306685 1306699 1307014 1307167) (-733 "bookvol10.3.pamphlet" 1304804 1304818 1304876 1305096) (-732 "bookvol10.4.pamphlet" 1301788 1301805 1304794 1304799) (-731 "bookvol10.4.pamphlet" 1301186 1301203 1301778 1301783) (-730 "bookvol10.2.pamphlet" 1299220 1299241 1301084 1301181) (-729 "bookvol10.4.pamphlet" 1298877 1298887 1299210 1299215) (-728 "bookvol10.4.pamphlet" 1298317 1298325 1298867 1298872) (-727 "bookvol10.3.pamphlet" 1296322 1296332 1298079 1298118) (-726 "bookvol10.2.pamphlet" 1296155 1296165 1296278 1296317) (-725 "bookvol10.3.pamphlet" 1293108 1293120 1295863 1295930) (-724 "bookvol10.4.pamphlet" 1292668 1292682 1293098 1293103) (-723 "bookvol10.4.pamphlet" 1292229 1292246 1292658 1292663) (-722 "bookvol10.4.pamphlet" 1290274 1290293 1292219 1292224) (-721 "bookvol10.3.pamphlet" 1287724 1287739 1288068 1288195) (-720 "bookvol10.4.pamphlet" 1287003 1287022 1287714 1287719) (-719 "bookvol10.4.pamphlet" 1286811 1286854 1286993 1286998) (-718 "bookvol10.4.pamphlet" 1286555 1286591 1286801 1286806) (-717 "bookvol10.4.pamphlet" 1284890 1284907 1286545 1286550) (-716 "bookvol10.2.pamphlet" 1283754 1283762 1284880 1284885) (-715 NIL 1282616 1282626 1283744 1283749) (-714 "bookvol10.2.pamphlet" 1281362 1281375 1282476 1282611) (-713 NIL 1280130 1280145 1281246 1281251) (-712 "bookvol10.2.pamphlet" 1278136 1278144 1280120 1280125) (-711 NIL 1276140 1276150 1278126 1278131) (-710 "bookvol10.2.pamphlet" 1275284 1275292 1276130 1276135) (-709 NIL 1274426 1274436 1275274 1275279) (-708 "bookvol10.3.pamphlet" 1273105 1273119 1274406 1274421) (-707 "bookvol10.2.pamphlet" 1272786 1272796 1273073 1273100) (-706 NIL 1272487 1272499 1272776 1272781) (-705 "bookvol10.3.pamphlet" 1271800 1271839 1272467 1272482) (-704 "bookvol10.3.pamphlet" 1270442 1270454 1271622 1271689) (-703 "bookvol10.3.pamphlet" 1269953 1269971 1270432 1270437) (-702 "bookvol10.3.pamphlet" 1266613 1266629 1267431 1267584) (-701 "bookvol10.3.pamphlet" 1265974 1266013 1266515 1266608) (-700 "bookvol10.3.pamphlet" 1264761 1264769 1265964 1265969) (-699 "bookvol10.4.pamphlet" 1264501 1264535 1264751 1264756) (-698 "bookvol10.2.pamphlet" 1262943 1262953 1264457 1264496) (-697 "bookvol10.4.pamphlet" 1261515 1261532 1262933 1262938) (-696 "bookvol10.4.pamphlet" 1260985 1261003 1261505 1261510) (-695 "bookvol10.4.pamphlet" 1260571 1260584 1260975 1260980) (-694 "bookvol10.4.pamphlet" 1259886 1259896 1260561 1260566) (-693 "bookvol10.4.pamphlet" 1258779 1258789 1259876 1259881) (-692 "bookvol10.3.pamphlet" 1258555 1258565 1258769 1258774) (-691 "bookvol10.4.pamphlet" 1258016 1258034 1258545 1258550) (-690 "bookvol10.3.pamphlet" 1257455 1257463 1257918 1258011) (-689 "bookvol10.4.pamphlet" 1256094 1256104 1257445 1257450) (-688 "bookvol10.3.pamphlet" 1254538 1254546 1255984 1256089) (-687 "bookvol10.4.pamphlet" 1253938 1253960 1254528 1254533) (-686 "bookvol10.4.pamphlet" 1251800 1251808 1253928 1253933) (-685 "bookvol10.4.pamphlet" 1250041 1250051 1251790 1251795) (-684 "bookvol10.2.pamphlet" 1249316 1249326 1250009 1250036) (-683 "bookvol10.3.pamphlet" 1245289 1245297 1245903 1246104) (-682 "bookvol10.4.pamphlet" 1244497 1244509 1245279 1245284) (-681 "bookvol10.4.pamphlet" 1241605 1241631 1244487 1244492) (-680 "bookvol10.4.pamphlet" 1238881 1238891 1241595 1241600) (-679 "bookvol10.3.pamphlet" 1237772 1237782 1238256 1238283) (-678 "bookvol10.4.pamphlet" 1235098 1235122 1237656 1237661) (-677 "bookvol10.2.pamphlet" 1220309 1220331 1235054 1235093) (-676 NIL 1205368 1205392 1220115 1220120) (-675 "bookvol10.4.pamphlet" 1204636 1204684 1205358 1205363) (-674 "bookvol10.4.pamphlet" 1203356 1203368 1204626 1204631) (-673 "bookvol10.4.pamphlet" 1202255 1202269 1203346 1203351) (-672 "bookvol10.4.pamphlet" 1201589 1201601 1202245 1202250) (-671 "bookvol10.4.pamphlet" 1200407 1200417 1201579 1201584) (-670 "bookvol10.4.pamphlet" 1200215 1200229 1200397 1200402) (-669 "bookvol10.4.pamphlet" 1199980 1199992 1200205 1200210) (-668 "bookvol10.4.pamphlet" 1199610 1199620 1199970 1199975) (-667 "bookvol10.3.pamphlet" 1197554 1197571 1199600 1199605) (-666 "bookvol10.3.pamphlet" 1195473 1195483 1197155 1197160) (-665 "bookvol10.2.pamphlet" 1190929 1190939 1195453 1195468) (-664 NIL 1186393 1186405 1190919 1190924) (-663 "bookvol10.3.pamphlet" 1183199 1183216 1186383 1186388) (-662 "bookvol10.3.pamphlet" 1181457 1181471 1181879 1181930) (-661 "bookvol10.4.pamphlet" 1180990 1181007 1181447 1181452) (-660 "bookvol10.4.pamphlet" 1179830 1179858 1180980 1180985) (-659 "bookvol10.4.pamphlet" 1177634 1177648 1179820 1179825) (-658 "bookvol10.2.pamphlet" 1177291 1177301 1177590 1177629) (-657 NIL 1176980 1176992 1177281 1177286) (-656 "bookvol10.3.pamphlet" 1175994 1176013 1176836 1176905) (-655 "bookvol10.4.pamphlet" 1175251 1175261 1175984 1175989) (-654 "bookvol10.4.pamphlet" 1173696 1173745 1175241 1175246) (-653 "bookvol10.4.pamphlet" 1172335 1172345 1173686 1173691) (-652 "bookvol10.3.pamphlet" 1171736 1171750 1172269 1172296) (-651 "bookvol10.2.pamphlet" 1171338 1171346 1171726 1171731) (-650 NIL 1170938 1170948 1171328 1171333) (-649 "bookvol10.4.pamphlet" 1169856 1169868 1170928 1170933) (-648 "bookvol10.3.pamphlet" 1169243 1169259 1169536 1169575) (-647 "bookvol10.4.pamphlet" 1168287 1168304 1169200 1169205) (-646 "bookvol10.2.pamphlet" 1166904 1166914 1168243 1168282) (-645 NIL 1165519 1165531 1166860 1166865) (-644 "bookvol10.3.pamphlet" 1164795 1164807 1165199 1165238) (-643 "bookvol10.3.pamphlet" 1164198 1164208 1164475 1164514) (-642 "bookvol10.4.pamphlet" 1162970 1162988 1164188 1164193) (-641 "bookvol10.2.pamphlet" 1161345 1161355 1162872 1162965) (-640 "bookvol10.2.pamphlet" 1157093 1157103 1161325 1161340) (-639 NIL 1152815 1152827 1157049 1157054) (-638 "bookvol10.3.pamphlet" 1149551 1149568 1152805 1152810) (-637 "bookvol10.2.pamphlet" 1149034 1149044 1149541 1149546) (-636 "bookvol10.3.pamphlet" 1148134 1148144 1148808 1148835) (-635 "bookvol10.4.pamphlet" 1147565 1147579 1148124 1148129) (-634 "bookvol10.3.pamphlet" 1145506 1145516 1146935 1146962) (-633 "bookvol10.4.pamphlet" 1144797 1144811 1145496 1145501) (-632 "bookvol10.4.pamphlet" 1143437 1143449 1144787 1144792) (-631 "bookvol10.4.pamphlet" 1140310 1140322 1143427 1143432) (-630 "bookvol10.2.pamphlet" 1139742 1139752 1140290 1140305) (-629 "bookvol10.4.pamphlet" 1138519 1138531 1139654 1139659) (-628 "bookvol10.4.pamphlet" 1136433 1136443 1138509 1138514) (-627 "bookvol10.4.pamphlet" 1135316 1135329 1136423 1136428) (-626 "bookvol10.3.pamphlet" 1133330 1133342 1134606 1134751) (-625 "bookvol10.2.pamphlet" 1132855 1132865 1133256 1133325) (-624 NIL 1132408 1132420 1132811 1132816) (-623 "bookvol10.3.pamphlet" 1130941 1130949 1131649 1131664) (-622 "bookvol10.4.pamphlet" 1128309 1128328 1130931 1130936) (-621 "bookvol10.4.pamphlet" 1127052 1127068 1128299 1128304) (-620 "bookvol10.2.pamphlet" 1125759 1125767 1127042 1127047) (-619 "bookvol10.4.pamphlet" 1121411 1121426 1125749 1125754) (-618 "bookvol10.3.pamphlet" 1119474 1119501 1121391 1121406) (-617 "bookvol10.4.pamphlet" 1117858 1117875 1119464 1119469) (-616 "bookvol10.4.pamphlet" 1116916 1116938 1117848 1117853) (-615 "bookvol10.3.pamphlet" 1115688 1115701 1116509 1116578) (-614 "bookvol10.4.pamphlet" 1115261 1115277 1115678 1115683) (-613 "bookvol10.3.pamphlet" 1114701 1114715 1115183 1115222) (-612 "bookvol10.2.pamphlet" 1114477 1114487 1114681 1114696) (-611 NIL 1114261 1114273 1114467 1114472) (-610 "bookvol10.4.pamphlet" 1112974 1112991 1114251 1114256) (-609 "bookvol10.2.pamphlet" 1112696 1112706 1112964 1112969) (-608 "bookvol10.2.pamphlet" 1112433 1112443 1112686 1112691) (-607 "bookvol10.3.pamphlet" 1110968 1110978 1112217 1112222) (-606 "bookvol10.4.pamphlet" 1110671 1110683 1110958 1110963) (-605 "bookvol10.2.pamphlet" 1109762 1109784 1110639 1110666) (-604 NIL 1108873 1108897 1109752 1109757) (-603 "bookvol10.3.pamphlet" 1107495 1107511 1108220 1108247) (-602 "bookvol10.3.pamphlet" 1105472 1105484 1106785 1106930) (-601 "bookvol10.2.pamphlet" 1103554 1103578 1105452 1105467) (-600 NIL 1101501 1101527 1103401 1103406) (-599 "bookvol10.3.pamphlet" 1100509 1100524 1100649 1100676) (-598 "bookvol10.3.pamphlet" 1099669 1099679 1100499 1100504) (-597 "bookvol10.4.pamphlet" 1098480 1098499 1099659 1099664) (-596 "bookvol10.4.pamphlet" 1097974 1097988 1098470 1098475) (-595 "bookvol10.4.pamphlet" 1097704 1097716 1097964 1097969) (-594 "bookvol10.3.pamphlet" 1095496 1095511 1097540 1097665) (-593 "bookvol10.3.pamphlet" 1087922 1087937 1094470 1094567) (-592 "bookvol10.4.pamphlet" 1087405 1087421 1087912 1087917) (-591 "bookvol10.3.pamphlet" 1086635 1086648 1086801 1086828) (-590 "bookvol10.4.pamphlet" 1085715 1085734 1086625 1086630) (-589 "bookvol10.4.pamphlet" 1083679 1083687 1085705 1085710) (-588 "bookvol10.4.pamphlet" 1082202 1082212 1083635 1083640) (-587 "bookvol10.4.pamphlet" 1081803 1081814 1082192 1082197) (-586 "bookvol10.4.pamphlet" 1080149 1080159 1081793 1081798) (-585 "bookvol10.3.pamphlet" 1077894 1077908 1080004 1080031) (-584 "bookvol10.4.pamphlet" 1077030 1077046 1077884 1077889) (-583 "bookvol10.4.pamphlet" 1076171 1076187 1077020 1077025) (-582 "bookvol10.4.pamphlet" 1075931 1075939 1076161 1076166) (-581 "bookvol10.3.pamphlet" 1075624 1075636 1075736 1075829) (-580 "bookvol10.3.pamphlet" 1075385 1075411 1075550 1075619) (-579 "bookvol10.4.pamphlet" 1074994 1075010 1075375 1075380) (-578 "bookvol10.4.pamphlet" 1068240 1068257 1074984 1074989) (-577 "bookvol10.4.pamphlet" 1066099 1066115 1067814 1067819) (-576 "bookvol10.4.pamphlet" 1065405 1065413 1066089 1066094) (-575 "bookvol10.3.pamphlet" 1065181 1065191 1065319 1065400) (-574 "bookvol10.4.pamphlet" 1063545 1063559 1065171 1065176) (-573 "bookvol10.4.pamphlet" 1063034 1063044 1063535 1063540) (-572 "bookvol10.4.pamphlet" 1061679 1061696 1063024 1063029) (-571 "bookvol10.4.pamphlet" 1060042 1060058 1061322 1061327) (-570 "bookvol10.4.pamphlet" 1057769 1057787 1059974 1059979) (-569 "bookvol10.4.pamphlet" 1047876 1047884 1057759 1057764) (-568 "bookvol10.3.pamphlet" 1047237 1047245 1047730 1047871) (-567 "bookvol10.4.pamphlet" 1046503 1046520 1047227 1047232) (-566 "bookvol10.4.pamphlet" 1046168 1046192 1046493 1046498) (-565 "bookvol10.4.pamphlet" 1042569 1042577 1046158 1046163) (-564 "bookvol10.4.pamphlet" 1035949 1035967 1042501 1042506) (-563 "bookvol10.3.pamphlet" 1029947 1029955 1035939 1035944) (-562 "bookvol10.4.pamphlet" 1029047 1029104 1029937 1029942) (-561 "bookvol10.4.pamphlet" 1028121 1028131 1029037 1029042) (-560 "bookvol10.4.pamphlet" 1027989 1028013 1028111 1028116) (-559 "bookvol10.4.pamphlet" 1026303 1026319 1027979 1027984) (-558 "bookvol10.2.pamphlet" 1024927 1024935 1026229 1026298) (-557 NIL 1023613 1023623 1024917 1024922) (-556 "bookvol10.4.pamphlet" 1022743 1022830 1023603 1023608) (-555 "bookvol10.2.pamphlet" 1021206 1021216 1022657 1022738) (-554 "bookvol10.4.pamphlet" 1020709 1020717 1021196 1021201) (-553 "bookvol10.4.pamphlet" 1019891 1019918 1020699 1020704) (-552 "bookvol10.4.pamphlet" 1019383 1019399 1019881 1019886) (-551 "bookvol10.3.pamphlet" 1018463 1018494 1018626 1018653) (-550 "bookvol10.2.pamphlet" 1015859 1015867 1018365 1018458) (-549 NIL 1013341 1013351 1015849 1015854) (-548 "bookvol10.4.pamphlet" 1012775 1012788 1013331 1013336) (-547 "bookvol10.4.pamphlet" 1011841 1011860 1012765 1012770) (-546 "bookvol10.4.pamphlet" 1010899 1010923 1011831 1011836) (-545 "bookvol10.4.pamphlet" 1009885 1009902 1010889 1010894) (-544 "bookvol10.4.pamphlet" 1009032 1009062 1009875 1009880) (-543 "bookvol10.4.pamphlet" 1007317 1007339 1009022 1009027) (-542 "bookvol10.4.pamphlet" 1006367 1006386 1007307 1007312) (-541 "bookvol10.3.pamphlet" 1003411 1003419 1006357 1006362) (-540 "bookvol10.4.pamphlet" 1003036 1003046 1003401 1003406) (-539 "bookvol10.4.pamphlet" 1002624 1002632 1003026 1003031) (-538 "bookvol10.3.pamphlet" 1002005 1002068 1002614 1002619) (-537 "bookvol10.3.pamphlet" 1001411 1001434 1001995 1002000) (-536 "bookvol10.2.pamphlet" 1000034 1000097 1001401 1001406) (-535 "bookvol10.4.pamphlet" 998566 998588 1000024 1000029) (-534 "bookvol10.3.pamphlet" 998472 998489 998556 998561) (-533 "bookvol10.4.pamphlet" 997893 997903 998462 998467) (-532 "bookvol10.4.pamphlet" 993659 993670 997883 997888) (-531 "bookvol10.3.pamphlet" 992791 992817 993303 993330) (-530 "bookvol10.4.pamphlet" 991881 991925 992747 992752) (-529 "bookvol10.4.pamphlet" 990486 990510 991837 991842) (-528 "bookvol10.3.pamphlet" 989365 989380 989892 989919) (-527 "bookvol10.3.pamphlet" 989090 989128 989195 989222) (-526 "bookvol10.3.pamphlet" 988500 988516 988771 988864) (-525 "bookvol10.3.pamphlet" 985571 985586 987906 987933) (-524 "bookvol10.3.pamphlet" 985409 985426 985527 985532) (-523 "bookvol10.2.pamphlet" 984798 984810 985399 985404) (-522 NIL 984185 984199 984788 984793) (-521 "bookvol10.3.pamphlet" 983998 984010 984175 984180) (-520 "bookvol10.3.pamphlet" 983769 983781 983988 983993) (-519 "bookvol10.3.pamphlet" 983504 983516 983759 983764) (-518 "bookvol10.2.pamphlet" 982438 982450 983494 983499) (-517 "bookvol10.3.pamphlet" 982198 982210 982428 982433) (-516 "bookvol10.3.pamphlet" 981960 981972 982188 982193) (-515 "bookvol10.4.pamphlet" 979212 979230 981950 981955) (-514 "bookvol10.3.pamphlet" 974146 974185 979147 979152) (-513 "bookvol10.3.pamphlet" 973567 973590 974136 974141) (-512 "bookvol10.4.pamphlet" 972718 972734 973557 973562) (-511 "bookvol10.3.pamphlet" 971941 971949 972708 972713) (-510 "bookvol10.4.pamphlet" 970564 970581 971931 971936) (-509 "bookvol10.3.pamphlet" 969842 969855 970258 970285) (-508 "bookvol10.4.pamphlet" 966717 966736 969832 969837) (-507 "bookvol10.4.pamphlet" 965605 965620 966707 966712) (-506 "bookvol10.3.pamphlet" 965336 965362 965435 965462) (-505 "bookvol10.3.pamphlet" 964649 964664 964742 964769) (-504 "bookvol10.3.pamphlet" 962862 962870 964465 964558) (-503 "bookvol10.4.pamphlet" 962417 962450 962852 962857) (-502 "bookvol10.2.pamphlet" 961841 961849 962407 962412) (-501 NIL 961263 961273 961831 961836) (-500 "bookvol10.3.pamphlet" 960063 960071 961253 961258) (-499 "bookvol10.2.pamphlet" 957313 957323 960043 960058) (-498 NIL 954404 954416 957136 957141) (-497 "bookvol10.3.pamphlet" 952273 952281 952871 952964) (-496 "bookvol10.4.pamphlet" 951127 951138 952263 952268) (-495 "bookvol10.3.pamphlet" 950717 950741 951117 951122) (-494 "bookvol10.3.pamphlet" 946440 946450 950547 950574) (-493 "bookvol10.3.pamphlet" 938293 938309 938655 938786) (-492 "bookvol10.3.pamphlet" 935484 935499 936087 936214) (-491 "bookvol10.4.pamphlet" 934024 934032 935474 935479) (-490 "bookvol10.3.pamphlet" 933056 933087 933267 933294) (-489 "bookvol10.3.pamphlet" 932641 932649 932958 933051) (-488 "bookvol10.4.pamphlet" 918518 918530 932631 932636) (-487 "bookvol10.4.pamphlet" 918263 918271 918363 918368) (-486 "bookvol10.4.pamphlet" 902336 902372 918133 918138) (-485 "bookvol10.4.pamphlet" 902097 902105 902195 902200) (-484 "bookvol10.4.pamphlet" 901918 901932 902031 902036) (-483 "bookvol10.4.pamphlet" 901795 901809 901908 901913) (-482 "bookvol10.4.pamphlet" 901628 901636 901728 901733) (-481 "bookvol10.3.pamphlet" 900820 900836 901330 901357) (-480 "bookvol10.3.pamphlet" 899901 899936 900075 900090) (-479 "bookvol10.3.pamphlet" 897068 897095 898033 898182) (-478 "bookvol10.2.pamphlet" 896034 896042 897048 897063) (-477 NIL 895008 895018 896024 896029) (-476 "bookvol10.4.pamphlet" 893591 893612 894998 895003) (-475 "bookvol10.2.pamphlet" 892169 892181 893581 893586) (-474 NIL 890745 890759 892159 892164) (-473 "bookvol10.3.pamphlet" 883350 883358 890735 890740) (-472 "bookvol10.4.pamphlet" 881729 881737 883340 883345) (-471 "bookvol10.4.pamphlet" 880172 880180 881719 881724) (-470 "bookvol10.2.pamphlet" 879226 879238 880162 880167) (-469 NIL 878278 878292 879216 879221) (-468 "bookvol10.3.pamphlet" 877788 877811 878016 878043) (-467 "bookvol10.4.pamphlet" 872478 872565 877744 877749) (-466 "bookvol10.4.pamphlet" 871739 871757 872468 872473) (-465 "bookvol10.3.pamphlet" 867687 867695 871729 871734) (-464 "bookvol10.4.pamphlet" 865270 865278 867677 867682) (-463 "bookvol10.3.pamphlet" 864377 864404 865238 865265) (-462 "bookvol10.4.pamphlet" 863487 863501 864367 864372) (-461 "bookvol10.4.pamphlet" 859588 859601 863477 863482) (-460 "bookvol10.4.pamphlet" 859192 859202 859578 859583) (-459 "bookvol10.4.pamphlet" 858776 858793 859182 859187) (-458 "bookvol10.4.pamphlet" 858243 858262 858766 858771) (-457 "bookvol10.4.pamphlet" 856233 856246 858233 858238) (-456 "bookvol10.4.pamphlet" 854490 854498 856223 856228) (-455 "bookvol10.3.pamphlet" 851523 851540 852284 852411) (-454 "bookvol10.3.pamphlet" 845418 845445 851317 851384) (-453 "bookvol10.2.pamphlet" 844346 844354 845344 845413) (-452 NIL 843336 843346 844336 844341) (-451 "bookvol10.4.pamphlet" 837117 837155 843292 843297) (-450 "bookvol10.4.pamphlet" 833215 833253 837107 837112) (-449 "bookvol10.4.pamphlet" 828281 828319 833205 833210) (-448 "bookvol10.4.pamphlet" 824536 824574 828271 828276) (-447 "bookvol10.4.pamphlet" 823833 823841 824526 824531) (-446 "bookvol10.4.pamphlet" 822155 822165 823789 823794) (-445 "bookvol10.4.pamphlet" 820614 820627 822145 822150) (-444 "bookvol10.4.pamphlet" 818779 818798 820604 820609) (-443 "bookvol10.4.pamphlet" 809045 809056 818769 818774) (-442 "bookvol10.2.pamphlet" 806058 806066 809025 809040) (-441 "bookvol10.2.pamphlet" 805100 805108 806038 806053) (-440 "bookvol10.3.pamphlet" 804949 804961 805090 805095) (-439 NIL 803161 803169 804939 804944) (-438 "bookvol10.3.pamphlet" 802324 802332 803151 803156) (-437 "bookvol10.4.pamphlet" 801366 801385 802260 802265) (-436 "bookvol10.3.pamphlet" 799452 799460 801356 801361) (-435 "bookvol10.4.pamphlet" 798874 798890 799442 799447) (-434 "bookvol10.4.pamphlet" 797682 797698 798831 798836) (-433 "bookvol10.4.pamphlet" 794954 794970 797672 797677) (-432 "bookvol10.2.pamphlet" 788988 788998 794717 794949) (-431 NIL 782812 782824 788543 788548) (-430 "bookvol10.4.pamphlet" 782434 782450 782802 782807) (-429 "bookvol10.3.pamphlet" 781742 781754 782254 782353) (-428 "bookvol10.4.pamphlet" 781016 781032 781732 781737) (-427 "bookvol10.2.pamphlet" 780117 780127 780960 781011) (-426 NIL 779192 779204 780037 780042) (-425 "bookvol10.4.pamphlet" 777879 777895 779182 779187) (-424 "bookvol10.4.pamphlet" 772268 772302 777869 777874) (-423 "bookvol10.4.pamphlet" 771878 771894 772258 772263) (-422 "bookvol10.4.pamphlet" 771001 771024 771868 771873) (-421 "bookvol10.4.pamphlet" 769943 769953 770991 770996) (-420 "bookvol10.3.pamphlet" 761367 761377 768967 769036) (-419 "bookvol10.2.pamphlet" 756446 756456 761309 761362) (-418 NIL 751537 751549 756402 756407) (-417 "bookvol10.4.pamphlet" 750983 751001 751527 751532) (-416 "bookvol10.3.pamphlet" 750377 750407 750914 750919) (-415 "bookvol10.3.pamphlet" 749572 749593 750357 750372) (-414 "bookvol10.4.pamphlet" 749308 749340 749562 749567) (-413 "bookvol10.2.pamphlet" 748972 748982 749298 749303) (-412 NIL 748502 748514 748830 748835) (-411 "bookvol10.2.pamphlet" 746830 746843 748458 748497) (-410 NIL 745190 745205 746820 746825) (-409 "bookvol10.3.pamphlet" 742289 742299 742692 742865) (-408 "bookvol10.4.pamphlet" 741892 741904 742279 742284) (-407 "bookvol10.4.pamphlet" 741226 741238 741882 741887) (-406 "bookvol10.2.pamphlet" 738196 738204 741116 741221) (-405 NIL 735194 735204 738116 738121) (-404 "bookvol10.2.pamphlet" 734238 734246 735096 735189) (-403 NIL 733368 733378 734228 734233) (-402 "bookvol10.2.pamphlet" 733120 733130 733348 733363) (-401 "bookvol10.3.pamphlet" 731896 731913 733110 733115) (-400 NIL 730381 730430 731886 731891) (-399 "bookvol10.4.pamphlet" 729310 729318 730371 730376) (-398 "bookvol10.2.pamphlet" 726470 726478 729290 729305) (-397 "bookvol10.2.pamphlet" 726144 726152 726450 726465) (-396 "bookvol10.3.pamphlet" 723482 723490 726134 726139) (-395 "bookvol10.4.pamphlet" 722961 722971 723472 723477) (-394 "bookvol10.4.pamphlet" 722742 722766 722951 722956) (-393 "bookvol10.4.pamphlet" 721943 721951 722732 722737) (-392 "bookvol10.3.pamphlet" 721365 721387 721911 721938) (-391 "bookvol10.2.pamphlet" 719693 719701 721355 721360) (-390 "bookvol10.3.pamphlet" 719585 719593 719683 719688) (-389 "bookvol10.2.pamphlet" 719383 719391 719511 719580) (-388 "bookvol10.3.pamphlet" 716438 716448 719339 719344) (-387 "bookvol10.3.pamphlet" 716133 716145 716372 716399) (-386 "bookvol10.2.pamphlet" 713153 713161 716113 716128) (-385 "bookvol10.2.pamphlet" 712195 712203 713133 713148) (-384 "bookvol10.2.pamphlet" 709899 709917 712163 712190) (-383 "bookvol10.3.pamphlet" 709359 709371 709833 709860) (-382 "bookvol10.4.pamphlet" 707095 707109 709349 709354) (-381 "bookvol10.3.pamphlet" 700516 700524 706961 707090) (-380 "bookvol10.4.pamphlet" 697948 697962 700506 700511) (-379 "bookvol10.2.pamphlet" 697660 697670 697928 697943) (-378 NIL 697326 697338 697596 697601) (-377 "bookvol10.4.pamphlet" 696576 696588 697316 697321) (-376 "bookvol10.2.pamphlet" 694281 694300 696502 696571) (-375 "bookvol10.2.pamphlet" 691279 691289 694249 694276) (-374 NIL 688190 688202 691162 691167) (-373 "bookvol10.4.pamphlet" 686859 686875 688180 688185) (-372 "bookvol10.2.pamphlet" 684892 684905 686815 686854) (-371 NIL 682851 682866 684776 684781) (-370 "bookvol10.2.pamphlet" 682003 682011 682841 682846) (-369 "bookvol10.2.pamphlet" 670932 670942 681945 681998) (-368 NIL 659873 659885 670888 670893) (-367 "bookvol10.3.pamphlet" 659456 659466 659863 659868) (-366 "bookvol10.2.pamphlet" 657885 657902 659446 659451) (-365 "bookvol10.2.pamphlet" 657203 657211 657787 657880) (-364 NIL 656607 656617 657193 657198) (-363 "bookvol10.3.pamphlet" 655216 655226 656587 656602) (-362 "bookvol10.4.pamphlet" 654031 654046 655206 655211) (-361 "bookvol10.3.pamphlet" 653450 653465 653747 653840) (-360 "bookvol10.4.pamphlet" 653315 653332 653440 653445) (-359 "bookvol10.4.pamphlet" 652804 652825 653305 653310) (-358 "bookvol10.4.pamphlet" 644083 644094 652794 652799) (-357 "bookvol10.4.pamphlet" 643129 643146 644073 644078) (-356 "bookvol10.3.pamphlet" 642615 642635 642845 642938) (-355 "bookvol10.3.pamphlet" 642063 642079 642296 642389) (-354 "bookvol10.3.pamphlet" 640581 640601 641779 641872) (-353 "bookvol10.3.pamphlet" 639091 639108 640297 640390) (-352 "bookvol10.3.pamphlet" 637602 637623 638772 638865) (-351 "bookvol10.4.pamphlet" 634964 634983 637592 637597) (-350 "bookvol10.2.pamphlet" 632538 632546 634866 634959) (-349 NIL 630198 630208 632528 632533) (-348 "bookvol10.4.pamphlet" 628943 628960 630188 630193) (-347 "bookvol10.4.pamphlet" 626358 626369 628933 628938) (-346 "bookvol10.4.pamphlet" 619566 619582 626348 626353) (-345 "bookvol10.4.pamphlet" 618181 618200 619556 619561) (-344 "bookvol10.4.pamphlet" 617590 617607 618171 618176) (-343 "bookvol10.3.pamphlet" 616443 616463 617306 617399) (-342 "bookvol10.3.pamphlet" 615338 615358 616159 616252) (-341 "bookvol10.3.pamphlet" 614137 614158 615019 615112) (-340 "bookvol10.2.pamphlet" 602768 602790 613976 614132) (-339 NIL 591478 591502 602688 602693) (-338 "bookvol10.4.pamphlet" 591223 591263 591468 591473) (-337 "bookvol10.3.pamphlet" 583853 583899 590979 591018) (-336 "bookvol10.2.pamphlet" 583559 583569 583843 583848) (-335 NIL 583050 583062 583336 583341) (-334 "bookvol10.3.pamphlet" 582483 582507 583040 583045) (-333 "bookvol10.2.pamphlet" 580525 580549 582473 582478) (-332 NIL 578565 578591 580515 580520) (-331 "bookvol10.4.pamphlet" 578309 578349 578555 578560) (-330 "bookvol10.4.pamphlet" 576830 576838 578299 578304) (-329 "bookvol10.3.pamphlet" 576359 576369 576820 576825) (-328 NIL 566184 566192 576349 576354) (-327 "bookvol10.2.pamphlet" 559057 559071 566086 566179) (-326 NIL 551982 551998 559013 559018) (-325 "bookvol10.3.pamphlet" 550396 550406 551388 551415) (-324 "bookvol10.2.pamphlet" 548516 548528 550294 550391) (-323 NIL 546620 546634 548400 548405) (-322 "bookvol10.4.pamphlet" 546170 546192 546610 546615) (-321 "bookvol10.3.pamphlet" 545820 545830 546124 546129) (-320 "bookvol10.2.pamphlet" 544011 544023 545810 545815) (-319 "bookvol10.3.pamphlet" 543617 543627 543907 543934) (-318 "bookvol10.4.pamphlet" 541813 541830 543607 543612) (-317 "bookvol10.4.pamphlet" 541695 541705 541803 541808) (-316 "bookvol10.4.pamphlet" 540871 540881 541685 541690) (-315 "bookvol10.4.pamphlet" 540753 540763 540861 540866) (-314 "bookvol10.3.pamphlet" 537586 537609 538885 539034) (-313 "bookvol10.4.pamphlet" 534950 534958 537576 537581) (-312 "bookvol10.4.pamphlet" 534852 534881 534940 534945) (-311 "bookvol10.4.pamphlet" 531660 531676 534842 534847) (-310 "bookvol10.3.pamphlet" 526909 526919 527649 528056) (-309 "bookvol10.4.pamphlet" 522969 522982 526899 526904) (-308 "bookvol10.4.pamphlet" 522729 522741 522959 522964) (-307 "bookvol10.3.pamphlet" 519667 519692 520301 520394) (-306 "bookvol10.4.pamphlet" 519520 519528 519657 519662) (-305 "bookvol10.3.pamphlet" 519187 519195 519510 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402758 403485 403490) (-250 "bookvol10.4.pamphlet" 400103 400111 402738 402743) (-249 "bookvol10.4.pamphlet" 399640 399655 400093 400098) (-248 "bookvol10.4.pamphlet" 388812 388820 399630 399635) (-247 "bookvol10.2.pamphlet" 386964 386974 388768 388807) (-246 "bookvol10.2.pamphlet" 382305 382321 386832 386959) (-245 NIL 377732 377750 382261 382266) (-244 "bookvol10.3.pamphlet" 371091 371107 371229 371530) (-243 "bookvol10.3.pamphlet" 364463 364481 364588 364889) (-242 "bookvol10.3.pamphlet" 361700 361715 362257 362384) (-241 "bookvol10.4.pamphlet" 361044 361054 361690 361695) (-240 "bookvol10.3.pamphlet" 359679 359689 360450 360477) (-239 "bookvol10.2.pamphlet" 358072 358082 359659 359674) (-238 "bookvol10.2.pamphlet" 357519 357527 358016 358067) (-237 NIL 357010 357020 357509 357514) (-236 "bookvol10.3.pamphlet" 356863 356873 356942 356969) (-235 "bookvol10.2.pamphlet" 355622 355632 356831 356858) (-234 "bookvol10.4.pamphlet" 353802 353810 355612 355617) (-233 "bookvol10.3.pamphlet" 353094 353109 353638 353763) (-232 "bookvol10.3.pamphlet" 344684 344700 345309 345440) (-231 "bookvol10.4.pamphlet" 343507 343525 344674 344679) (-230 "bookvol10.2.pamphlet" 342669 342685 343359 343502) (-229 NIL 341572 341590 342264 342269) (-228 "bookvol10.4.pamphlet" 340375 340383 341562 341567) (-227 "bookvol10.2.pamphlet" 339347 339357 340343 340370) (-226 NIL 338305 338317 339303 339308) (-225 "bookvol10.2.pamphlet" 337418 337426 338285 338300) (-224 NIL 336539 336549 337408 337413) (-223 "bookvol10.2.pamphlet" 335698 335708 336519 336534) (-222 NIL 334774 334786 335597 335602) (-221 "bookvol10.2.pamphlet" 334392 334402 334742 334769) (-220 NIL 334030 334042 334382 334387) (-219 "bookvol10.3.pamphlet" 332238 332248 333674 333701) (-218 "bookvol10.3.pamphlet" 330966 330974 331362 331389) (-217 "bookvol10.4.pamphlet" 322208 322216 330956 330961) (-216 "bookvol10.3.pamphlet" 321411 321419 321840 321867) (-215 "bookvol10.3.pamphlet" 317688 317696 321301 321406) (-214 "bookvol10.4.pamphlet" 315897 315913 317678 317683) (-213 "bookvol10.3.pamphlet" 313807 313839 315877 315892) (-212 "bookvol10.3.pamphlet" 307481 307491 313637 313664) (-211 "bookvol10.4.pamphlet" 307094 307108 307471 307476) (-210 "bookvol10.4.pamphlet" 304575 304585 307084 307089) (-209 "bookvol10.4.pamphlet" 303071 303087 304565 304570) (-208 "bookvol10.3.pamphlet" 300952 300960 301538 301631) (-207 "bookvol10.4.pamphlet" 298803 298820 300942 300947) (-206 "bookvol10.4.pamphlet" 298401 298425 298793 298798) (-205 "bookvol10.3.pamphlet" 296988 296998 298391 298396) (-204 "bookvol10.3.pamphlet" 296816 296824 296978 296983) (-203 "bookvol10.3.pamphlet" 296636 296644 296806 296811) (-202 "bookvol10.4.pamphlet" 295575 295583 296626 296631) (-201 "bookvol10.3.pamphlet" 295037 295045 295565 295570) (-200 "bookvol10.3.pamphlet" 294515 294523 295027 295032) (-199 "bookvol10.3.pamphlet" 294005 294013 294505 294510) (-198 "bookvol10.3.pamphlet" 293495 293503 293995 294000) (-197 "bookvol10.4.pamphlet" 288337 288345 293485 293490) (-196 "bookvol10.4.pamphlet" 286656 286664 288327 288332) (-195 "bookvol10.3.pamphlet" 286633 286641 286646 286651) (-194 "bookvol10.3.pamphlet" 286155 286163 286623 286628) (-193 "bookvol10.3.pamphlet" 285677 285685 286145 286150) (-192 "bookvol10.3.pamphlet" 285145 285153 285667 285672) (-191 "bookvol10.3.pamphlet" 284630 284638 285135 285140) (-190 "bookvol10.3.pamphlet" 284054 284062 284620 284625) (-189 "bookvol10.3.pamphlet" 283548 283556 284044 284049) (-188 "bookvol10.3.pamphlet" 283058 283066 283538 283543) (-187 "bookvol10.3.pamphlet" 282598 282606 283048 283053) (-186 "bookvol10.3.pamphlet" 282124 282132 282588 282593) (-185 "bookvol10.3.pamphlet" 281647 281655 282114 282119) (-184 "bookvol10.4.pamphlet" 277706 277714 281637 281642) (-183 "bookvol10.4.pamphlet" 277210 277218 277696 277701) (-182 "bookvol10.4.pamphlet" 274027 274035 277200 277205) (-181 "bookvol10.4.pamphlet" 273442 273452 274017 274022) (-180 "bookvol10.4.pamphlet" 271932 271948 273432 273437) (-179 "bookvol10.4.pamphlet" 270601 270614 271922 271927) (-178 "bookvol10.4.pamphlet" 264428 264441 270591 270596) (-177 "bookvol10.4.pamphlet" 263467 263477 264418 264423) (-176 "bookvol10.4.pamphlet" 262967 262982 263392 263397) (-175 "bookvol10.4.pamphlet" 262672 262691 262957 262962) (-174 "bookvol10.4.pamphlet" 257565 257575 262662 262667) (-173 "bookvol10.3.pamphlet" 253300 253310 257467 257560) (-172 "bookvol10.2.pamphlet" 252975 252983 253238 253295) (-171 "bookvol10.3.pamphlet" 252471 252479 252965 252970) (-170 "bookvol10.4.pamphlet" 252238 252253 252461 252466) (-169 "bookvol10.3.pamphlet" 246262 246272 246505 246766) (-168 "bookvol10.4.pamphlet" 245975 245987 246252 246257) (-167 "bookvol10.4.pamphlet" 245771 245785 245965 245970) (-166 "bookvol10.2.pamphlet" 243827 243837 245493 245766) (-165 NIL 241587 241599 243255 243260) (-164 "bookvol10.4.pamphlet" 241333 241351 241577 241582) (-163 "bookvol10.4.pamphlet" 240866 240874 241323 241328) (-162 "bookvol10.3.pamphlet" 240673 240681 240856 240861) (-161 "bookvol10.2.pamphlet" 239578 239586 240663 240668) (-160 "bookvol10.4.pamphlet" 238076 238086 239568 239573) (-159 "bookvol10.4.pamphlet" 235336 235352 238066 238071) (-158 "bookvol10.3.pamphlet" 234173 234181 235326 235331) (-157 "bookvol10.4.pamphlet" 233505 233522 234163 234168) (-156 "bookvol10.4.pamphlet" 229569 229577 233495 233500) (-155 "bookvol10.3.pamphlet" 228222 228238 229525 229564) (-154 "bookvol10.2.pamphlet" 224493 224503 228202 228217) (-153 NIL 220645 220657 224356 224361) (-152 "bookvol10.4.pamphlet" 219970 219983 220635 220640) (-151 "bookvol10.4.pamphlet" 218048 218070 219960 219965) (-150 "bookvol10.2.pamphlet" 217963 217971 218028 218043) (-149 "bookvol10.4.pamphlet" 217471 217481 217953 217958) (-148 "bookvol10.2.pamphlet" 217224 217232 217451 217466) (-147 "bookvol10.3.pamphlet" 212724 212732 217214 217219) (-146 "bookvol10.2.pamphlet" 211905 211913 212714 212719) (-145 "bookvol10.3.pamphlet" 210142 210150 210843 210870) (-144 "bookvol10.3.pamphlet" 209260 209268 209698 209725) (-143 "bookvol10.4.pamphlet" 208418 208432 209250 209255) (-142 "bookvol10.3.pamphlet" 206781 206789 207887 207926) (-141 "bookvol10.3.pamphlet" 196438 196462 206771 206776) (-140 "bookvol10.4.pamphlet" 195824 195851 196428 196433) (-139 "bookvol10.3.pamphlet" 192160 192168 195798 195819) (-138 "bookvol10.2.pamphlet" 191782 191790 192150 192155) (-137 "bookvol10.2.pamphlet" 191293 191301 191772 191777) (-136 "bookvol10.3.pamphlet" 190311 190321 191123 191150) (-135 "bookvol10.3.pamphlet" 189505 189515 190141 190168) (-134 "bookvol10.2.pamphlet" 188869 188879 189461 189500) (-133 NIL 188265 188277 188859 188864) (-132 "bookvol10.2.pamphlet" 187330 187338 188221 188260) (-131 NIL 186427 186437 187320 187325) (-130 "bookvol10.3.pamphlet" 184947 184957 186257 186284) (-129 "bookvol10.4.pamphlet" 183710 183721 184937 184942) (-128 "bookvol10.2.pamphlet" 182624 182634 183690 183705) (-127 NIL 181512 181524 182580 182585) (-126 "bookvol10.3.pamphlet" 179493 179505 179748 179841) (-125 "bookvol10.3.pamphlet" 179157 179169 179419 179488) (-124 "bookvol10.4.pamphlet" 178813 178830 179147 179152) (-123 "bookvol10.3.pamphlet" 174205 174213 178803 178808) (-122 "bookvol10.4.pamphlet" 171583 171593 174161 174166) (-121 "bookvol10.3.pamphlet" 170477 170485 171573 171578) (-120 "bookvol10.2.pamphlet" 170135 170147 170445 170472) (-119 "bookvol10.4.pamphlet" 168341 168377 170125 170130) (-118 "bookvol10.3.pamphlet" 168231 168239 168306 168336) (-117 "bookvol10.2.pamphlet" 168208 168216 168221 168226) (-116 "bookvol10.3.pamphlet" 168100 168108 168175 168203) (-115 "bookvol10.5.pamphlet" 165464 165472 168090 168095) (-114 "bookvol10.3.pamphlet" 164941 164949 165158 165185) (-113 "bookvol10.3.pamphlet" 164284 164292 164931 164936) (-112 "bookvol10.3.pamphlet" 162124 162132 162751 162844) (-111 "bookvol10.2.pamphlet" 161309 161319 162092 162119) (-110 NIL 160514 160526 161299 161304) (-109 "bookvol10.3.pamphlet" 159935 159943 160494 160509) (-108 "bookvol10.4.pamphlet" 159069 159096 159885 159890) (-107 "bookvol10.4.pamphlet" 156390 156400 159059 159064) (-106 "bookvol10.3.pamphlet" 151452 151462 156220 156247) (-105 "bookvol10.2.pamphlet" 151124 151132 151442 151447) (-104 NIL 150794 150804 151114 151119) (-103 "bookvol10.4.pamphlet" 150233 150246 150784 150789) (-102 "bookvol10.4.pamphlet" 150093 150101 150223 150228) (-101 "bookvol10.3.pamphlet" 149539 149549 150073 150088) (-100 "bookvol10.2.pamphlet" 146136 146144 149279 149534) (-99 "bookvol10.3.pamphlet" 142171 142178 146116 146131) (-98 "bookvol10.2.pamphlet" 141641 141648 142161 142166) (-97 NIL 141109 141118 141631 141636) (-96 "bookvol10.3.pamphlet" 136401 136410 140939 140966) (-95 "bookvol10.4.pamphlet" 135201 135212 136357 136362) (-94 "bookvol10.3.pamphlet" 134272 134285 135191 135196) (-93 "bookvol10.3.pamphlet" 132761 132774 134262 134267) (-92 "bookvol10.3.pamphlet" 131881 131894 132751 132756) (-91 "bookvol10.3.pamphlet" 130849 130862 131871 131876) (-90 "bookvol10.3.pamphlet" 130224 130237 130839 130844) (-89 "bookvol10.3.pamphlet" 129429 129442 130214 130219) (-88 "bookvol10.3.pamphlet" 128082 128095 129419 129424) (-87 "bookvol10.3.pamphlet" 127173 127186 128072 128077) (-86 "bookvol10.3.pamphlet" 125295 125308 127163 127168) (-85 "bookvol10.3.pamphlet" 123012 123025 125285 125290) (-84 "bookvol10.3.pamphlet" 119204 119217 123002 123007) (-83 "bookvol10.3.pamphlet" 118345 118358 119194 119199) (-82 "bookvol10.3.pamphlet" 116982 116995 118335 118340) (-81 "bookvol10.3.pamphlet" 114334 114373 116972 116977) (-80 "bookvol10.3.pamphlet" 112008 112047 114324 114329) (-79 "bookvol10.3.pamphlet" 110645 110658 111998 112003) (-78 "bookvol10.3.pamphlet" 109384 109397 110635 110640) (-77 "bookvol10.3.pamphlet" 108898 108911 109374 109379) (-76 "bookvol10.3.pamphlet" 107694 107707 108888 108893) (-75 "bookvol10.3.pamphlet" 105698 105711 107684 107689) (-74 "bookvol10.3.pamphlet" 105008 105021 105688 105693) (-73 "bookvol10.3.pamphlet" 92049 92062 104998 105003) (-72 "bookvol10.3.pamphlet" 90155 90168 92039 92044) (-71 "bookvol10.3.pamphlet" 88878 88891 90145 90150) (-70 "bookvol10.3.pamphlet" 87729 87742 88868 88873) (-69 "bookvol10.3.pamphlet" 87043 87056 87719 87724) (-68 "bookvol10.3.pamphlet" 77536 77549 87033 87038) (-67 "bookvol10.3.pamphlet" 76838 76851 77526 77531) (-66 "bookvol10.3.pamphlet" 75953 75966 76828 76833) (-65 "bookvol10.3.pamphlet" 75551 75560 75783 75810) (-64 "bookvol10.3.pamphlet" 74439 74448 74957 74984) (-63 "bookvol10.4.pamphlet" 72262 72273 74429 74434) (-62 "bookvol10.2.pamphlet" 64788 64809 72218 72257) (-61 NIL 57346 57369 64778 64783) (-60 "bookvol10.4.pamphlet" 56590 56612 57336 57341) (-59 "bookvol10.4.pamphlet" 56205 56218 56580 56585) (-58 "bookvol10.4.pamphlet" 55592 55599 56195 56200) (-57 "bookvol10.3.pamphlet" 53934 53941 55582 55587) (-56 "bookvol10.4.pamphlet" 53005 53014 53924 53929) (-55 "bookvol10.3.pamphlet" 51444 51460 52985 53000) (-54 "bookvol10.3.pamphlet" 51357 51364 51434 51439) (-53 "bookvol10.3.pamphlet" 49658 49665 51173 51266) (-52 "bookvol10.2.pamphlet" 47837 47848 49556 49653) (-51 NIL 45853 45866 47574 47579) (-50 "bookvol10.3.pamphlet" 43897 43918 44247 44274) (-49 "bookvol10.3.pamphlet" 43020 43046 43769 43822) (-48 "bookvol10.4.pamphlet" 38807 38818 42976 42981) (-47 "bookvol10.4.pamphlet" 37996 38010 38797 38802) (-46 "bookvol10.4.pamphlet" 35416 35431 37793 37798) (-45 "bookvol10.3.pamphlet" 33730 33757 33948 34104) (-44 "bookvol10.4.pamphlet" 32843 32853 33720 33725) (-43 "bookvol10.2.pamphlet" 32295 32304 32799 32838) (-42 NIL 31779 31790 32285 32290) (-41 "bookvol10.2.pamphlet" 31277 31298 31735 31774) (-40 "bookvol10.2.pamphlet" 30658 30665 31267 31272) (-39 "bookvol10.2.pamphlet" 28939 28946 30638 30653) (-38 NIL 27194 27203 28895 28900) (-37 "bookvol10.2.pamphlet" 24922 24931 27184 27189) (-36 "bookvol10.4.pamphlet" 23347 23362 24857 24862) (-35 "bookvol10.3.pamphlet" 23190 23205 23337 23342) (-34 "bookvol10.3.pamphlet" 23039 23048 23180 23185) (-33 "bookvol10.3.pamphlet" 22888 22897 23029 23034) (-32 "bookvol10.4.pamphlet" 22771 22809 22878 22883) (-31 "bookvol10.4.pamphlet" 22304 22342 22761 22766) (-30 "bookvol10.3.pamphlet" 20372 20379 22294 22299) (-29 "bookvol10.2.pamphlet" 18103 18112 20262 20367) (-28 NIL 15932 15943 18093 18098) (-27 "bookvol10.2.pamphlet" 10604 10611 15834 15927) (-26 NIL 5362 5371 10594 10599) (-25 "bookvol10.2.pamphlet" 4706 4713 5352 5357) (-24 NIL 4048 4057 4696 4701) (-23 "bookvol10.2.pamphlet" 3399 3406 4038 4043) (-22 NIL 2748 2757 3389 3394) (-21 "bookvol10.2.pamphlet" 2236 2243 2738 2743) (-20 NIL 1722 1731 2226 2231) (-19 "bookvol10.2.pamphlet" 860 869 1678 1717) (-18 NIL 30 41 850 855)) 
\ No newline at end of file
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1882406 1882423 1883171 1883176) (-1014 "bookvol10.4.pamphlet" 1881556 1881573 1882396 1882401) (-1013 "bookvol10.2.pamphlet" 1878739 1878748 1881458 1881551) (-1012 NIL 1876008 1876019 1878729 1878734) (-1011 "bookvol10.2.pamphlet" 1873917 1873928 1875988 1876003) (-1010 NIL 1871763 1871776 1873836 1873841) (-1009 "bookvol10.4.pamphlet" 1871180 1871191 1871753 1871758) (-1008 "bookvol10.4.pamphlet" 1870364 1870376 1871170 1871175) (-1007 "bookvol10.4.pamphlet" 1869721 1869730 1870354 1870359) (-1006 "bookvol10.4.pamphlet" 1869475 1869484 1869711 1869716) (-1005 "bookvol10.3.pamphlet" 1866260 1866274 1867942 1868035) (-1004 "bookvol10.3.pamphlet" 1864673 1864710 1864792 1864948) (-1003 "bookvol10.2.pamphlet" 1864266 1864275 1864663 1864668) (-1002 NIL 1863857 1863868 1864256 1864261) (-1001 "bookvol10.3.pamphlet" 1859246 1859257 1863687 1863714) (-1000 "bookvol10.3.pamphlet" 1857872 1857883 1858170 1858235) (-999 "bookvol10.4.pamphlet" 1857195 1857213 1857862 1857867) (-998 "bookvol10.2.pamphlet" 1855356 1855366 1857125 1857190) (-997 NIL 1853268 1853280 1855039 1855044) (-996 "bookvol10.2.pamphlet" 1852074 1852084 1853224 1853263) (-995 "bookvol10.3.pamphlet" 1851537 1851551 1852064 1852069) (-994 "bookvol10.2.pamphlet" 1850228 1850238 1851427 1851532) (-993 NIL 1848522 1848534 1849723 1849728) (-992 "bookvol10.4.pamphlet" 1848213 1848229 1848512 1848517) (-991 "bookvol10.3.pamphlet" 1847770 1847778 1848203 1848208) (-990 "bookvol10.4.pamphlet" 1843172 1843191 1847760 1847765) (-989 "bookvol10.3.pamphlet" 1839247 1839279 1843086 1843091) (-988 "bookvol10.4.pamphlet" 1837243 1837261 1839237 1839242) (-987 "bookvol10.4.pamphlet" 1834553 1834574 1837233 1837238) (-986 "bookvol10.4.pamphlet" 1833880 1833899 1834543 1834548) (-985 "bookvol10.2.pamphlet" 1830006 1830016 1833870 1833875) (-984 "bookvol10.4.pamphlet" 1827090 1827100 1829996 1830001) (-983 "bookvol10.4.pamphlet" 1826907 1826921 1827080 1827085) (-982 "bookvol10.2.pamphlet" 1825989 1825999 1826863 1826902) (-981 "bookvol10.4.pamphlet" 1825296 1825320 1825979 1825984) (-980 "bookvol10.4.pamphlet" 1824154 1824164 1825286 1825291) (-979 "bookvol10.4.pamphlet" 1809555 1809571 1824032 1824037) (-978 "bookvol10.2.pamphlet" 1803448 1803471 1809523 1809550) (-977 NIL 1797327 1797352 1803404 1803409) (-976 "bookvol10.2.pamphlet" 1796310 1796318 1797317 1797322) (-975 "bookvol10.2.pamphlet" 1795073 1795102 1796208 1796305) (-974 NIL 1793926 1793957 1795063 1795068) (-973 "bookvol10.3.pamphlet" 1792741 1792749 1793916 1793921) (-972 "bookvol10.2.pamphlet" 1790074 1790084 1792731 1792736) (-971 "bookvol10.4.pamphlet" 1780219 1780236 1790030 1790035) (-970 "bookvol10.2.pamphlet" 1779638 1779648 1780175 1780214) (-969 "bookvol10.3.pamphlet" 1779520 1779536 1779628 1779633) (-968 "bookvol10.3.pamphlet" 1779408 1779418 1779510 1779515) (-967 "bookvol10.3.pamphlet" 1779296 1779306 1779398 1779403) (-966 "bookvol10.3.pamphlet" 1776697 1776709 1777262 1777317) (-965 "bookvol10.3.pamphlet" 1775083 1775095 1775788 1775915) (-964 "bookvol10.4.pamphlet" 1774287 1774326 1775073 1775078) (-963 "bookvol10.4.pamphlet" 1774039 1774047 1774277 1774282) (-962 "bookvol10.4.pamphlet" 1772282 1772292 1774029 1774034) (-961 "bookvol10.4.pamphlet" 1770255 1770269 1772272 1772277) (-960 "bookvol10.2.pamphlet" 1769878 1769886 1770245 1770250) (-959 "bookvol10.3.pamphlet" 1769121 1769131 1769284 1769311) (-958 "bookvol10.4.pamphlet" 1767013 1767025 1769111 1769116) (-957 "bookvol10.4.pamphlet" 1766385 1766397 1767003 1767008) (-956 "bookvol10.2.pamphlet" 1765522 1765530 1766375 1766380) (-955 "bookvol10.4.pamphlet" 1764294 1764316 1765478 1765483) (-954 "bookvol10.3.pamphlet" 1761606 1761616 1762108 1762235) (-953 "bookvol10.4.pamphlet" 1760867 1760890 1761596 1761601) (-952 "bookvol10.4.pamphlet" 1758931 1758953 1760857 1760862) (-951 "bookvol10.2.pamphlet" 1752333 1752354 1758799 1758926) (-950 NIL 1745037 1745060 1751505 1751510) (-949 "bookvol10.4.pamphlet" 1744485 1744499 1745027 1745032) (-948 "bookvol10.4.pamphlet" 1744095 1744107 1744475 1744480) (-947 "bookvol10.4.pamphlet" 1743036 1743065 1744051 1744056) (-946 "bookvol10.4.pamphlet" 1741784 1741799 1743026 1743031) (-945 "bookvol10.3.pamphlet" 1740845 1740855 1740932 1740959) (-944 "bookvol10.4.pamphlet" 1737485 1737493 1740835 1740840) (-943 "bookvol10.4.pamphlet" 1736242 1736256 1737475 1737480) (-942 "bookvol10.4.pamphlet" 1735787 1735797 1736232 1736237) (-941 "bookvol10.4.pamphlet" 1735374 1735388 1735777 1735782) (-940 "bookvol10.4.pamphlet" 1734900 1734914 1735364 1735369) (-939 "bookvol10.4.pamphlet" 1734401 1734423 1734890 1734895) (-938 "bookvol10.4.pamphlet" 1733471 1733489 1734333 1734338) (-937 "bookvol10.4.pamphlet" 1733052 1733066 1733461 1733466) (-936 "bookvol10.4.pamphlet" 1732619 1732631 1733042 1733047) (-935 "bookvol10.4.pamphlet" 1732195 1732205 1732609 1732614) (-934 "bookvol10.4.pamphlet" 1731768 1731786 1732185 1732190) (-933 "bookvol10.4.pamphlet" 1731050 1731064 1731758 1731763) (-932 "bookvol10.4.pamphlet" 1730119 1730127 1731040 1731045) (-931 "bookvol10.4.pamphlet" 1729145 1729161 1730109 1730114) (-930 "bookvol10.4.pamphlet" 1728043 1728081 1729135 1729140) (-929 "bookvol10.4.pamphlet" 1727823 1727831 1728033 1728038) (-928 "bookvol10.3.pamphlet" 1722495 1722503 1727813 1727818) (-927 "bookvol10.3.pamphlet" 1718897 1718905 1722485 1722490) (-926 "bookvol10.4.pamphlet" 1718030 1718040 1718887 1718892) (-925 "bookvol10.4.pamphlet" 1703987 1704014 1718020 1718025) (-924 "bookvol10.3.pamphlet" 1703894 1703908 1703977 1703982) (-923 "bookvol10.3.pamphlet" 1703805 1703815 1703884 1703889) (-922 "bookvol10.3.pamphlet" 1703716 1703726 1703795 1703800) (-921 "bookvol10.2.pamphlet" 1702744 1702758 1703706 1703711) (-920 "bookvol10.4.pamphlet" 1702360 1702379 1702734 1702739) (-919 "bookvol10.4.pamphlet" 1702142 1702158 1702350 1702355) (-918 "bookvol10.3.pamphlet" 1701764 1701772 1702116 1702137) (-917 "bookvol10.2.pamphlet" 1700720 1700728 1701690 1701759) (-916 "bookvol10.4.pamphlet" 1700449 1700459 1700710 1700715) (-915 "bookvol10.4.pamphlet" 1699061 1699075 1700439 1700444) (-914 "bookvol10.4.pamphlet" 1690427 1690435 1699051 1699056) (-913 "bookvol10.4.pamphlet" 1688977 1688994 1690417 1690422) (-912 "bookvol10.4.pamphlet" 1687992 1688002 1688967 1688972) (-911 "bookvol10.3.pamphlet" 1683360 1683370 1687894 1687987) (-910 "bookvol10.4.pamphlet" 1682715 1682731 1683350 1683355) (-909 "bookvol10.4.pamphlet" 1680750 1680779 1682705 1682710) (-908 "bookvol10.4.pamphlet" 1680120 1680138 1680740 1680745) (-907 "bookvol10.4.pamphlet" 1679539 1679566 1680110 1680115) (-906 "bookvol10.3.pamphlet" 1679206 1679218 1679344 1679437) (-905 "bookvol10.2.pamphlet" 1676872 1676880 1679132 1679201) (-904 NIL 1674566 1674576 1676828 1676833) (-903 "bookvol10.4.pamphlet" 1672451 1672463 1674556 1674561) (-902 "bookvol10.4.pamphlet" 1670051 1670074 1672441 1672446) (-901 "bookvol10.3.pamphlet" 1665037 1665047 1669881 1669896) (-900 "bookvol10.3.pamphlet" 1659727 1659737 1665027 1665032) (-899 "bookvol10.2.pamphlet" 1658280 1658290 1659707 1659722) (-898 "bookvol10.4.pamphlet" 1656943 1656957 1658270 1658275) (-897 "bookvol10.3.pamphlet" 1656213 1656223 1656795 1656800) (-896 "bookvol10.2.pamphlet" 1654507 1654517 1656193 1656208) (-895 NIL 1652809 1652821 1654497 1654502) (-894 "bookvol10.3.pamphlet" 1650914 1650922 1652799 1652804) (-893 "bookvol10.4.pamphlet" 1644706 1644714 1650904 1650909) (-892 "bookvol10.4.pamphlet" 1644006 1644023 1644696 1644701) (-891 "bookvol10.2.pamphlet" 1642150 1642158 1643996 1644001) (-890 "bookvol10.4.pamphlet" 1641839 1641852 1642140 1642145) (-889 "bookvol10.3.pamphlet" 1640481 1640498 1641829 1641834) (-888 "bookvol10.3.pamphlet" 1634912 1634922 1640471 1640476) (-887 "bookvol10.4.pamphlet" 1634649 1634661 1634902 1634907) (-886 "bookvol10.4.pamphlet" 1632939 1632955 1634639 1634644) (-885 "bookvol10.3.pamphlet" 1630478 1630490 1632929 1632934) (-884 "bookvol10.4.pamphlet" 1630132 1630146 1630468 1630473) (-883 "bookvol10.4.pamphlet" 1628289 1628320 1629840 1629845) (-882 "bookvol10.2.pamphlet" 1627714 1627724 1628279 1628284) (-881 "bookvol10.3.pamphlet" 1626798 1626812 1627704 1627709) (-880 "bookvol10.2.pamphlet" 1626562 1626572 1626788 1626793) (-879 "bookvol10.4.pamphlet" 1623924 1623932 1626552 1626557) (-878 "bookvol10.3.pamphlet" 1623352 1623380 1623914 1623919) (-877 "bookvol10.4.pamphlet" 1623143 1623159 1623342 1623347) (-876 "bookvol10.3.pamphlet" 1622571 1622599 1623133 1623138) (-875 "bookvol10.4.pamphlet" 1622356 1622372 1622561 1622566) (-874 "bookvol10.3.pamphlet" 1621814 1621842 1622346 1622351) (-873 "bookvol10.4.pamphlet" 1621599 1621615 1621804 1621809) (-872 "bookvol10.4.pamphlet" 1620390 1620439 1621589 1621594) (-871 "bookvol10.4.pamphlet" 1619802 1619810 1620380 1620385) (-870 "bookvol10.3.pamphlet" 1618772 1618780 1619792 1619797) (-869 "bookvol10.4.pamphlet" 1613155 1613178 1618728 1618733) (-868 "bookvol10.4.pamphlet" 1606974 1606997 1613104 1613109) (-867 "bookvol10.3.pamphlet" 1604304 1604322 1605479 1605572) (-866 "bookvol10.3.pamphlet" 1602319 1602331 1602540 1602633) (-865 "bookvol10.3.pamphlet" 1602014 1602026 1602245 1602314) (-864 "bookvol10.2.pamphlet" 1600570 1600582 1601940 1602009) (-863 "bookvol10.4.pamphlet" 1599499 1599518 1600560 1600565) (-862 "bookvol10.4.pamphlet" 1598480 1598496 1599489 1599494) (-861 "bookvol10.3.pamphlet" 1597081 1597089 1598151 1598244) (-860 "bookvol10.2.pamphlet" 1595831 1595839 1596983 1597076) (-859 "bookvol10.2.pamphlet" 1593894 1593902 1595733 1595826) (-858 "bookvol10.3.pamphlet" 1592619 1592629 1593690 1593783) (-857 "bookvol10.2.pamphlet" 1591372 1591380 1592521 1592614) (-856 "bookvol10.3.pamphlet" 1589677 1589697 1590762 1590855) (-855 "bookvol10.2.pamphlet" 1588419 1588427 1589579 1589672) (-854 "bookvol10.3.pamphlet" 1587403 1587433 1588277 1588344) (-853 "bookvol10.3.pamphlet" 1587184 1587207 1587393 1587398) (-852 "bookvol10.4.pamphlet" 1586268 1586276 1587174 1587179) (-851 "bookvol10.3.pamphlet" 1575682 1575690 1586258 1586263) (-850 "bookvol10.3.pamphlet" 1575271 1575279 1575672 1575677) (-849 "bookvol10.4.pamphlet" 1573732 1573742 1575188 1575193) (-848 "bookvol10.3.pamphlet" 1573090 1573118 1573412 1573451) (-847 "bookvol10.3.pamphlet" 1572389 1572413 1572770 1572809) (-846 "bookvol10.4.pamphlet" 1570223 1570235 1572309 1572314) (-845 "bookvol10.2.pamphlet" 1564369 1564379 1570179 1570218) (-844 NIL 1558405 1558417 1564217 1564222) (-843 "bookvol10.2.pamphlet" 1557571 1557579 1558395 1558400) (-842 NIL 1556735 1556745 1557561 1557566) (-841 "bookvol10.2.pamphlet" 1556069 1556077 1556715 1556730) (-840 NIL 1555411 1555421 1556059 1556064) (-839 "bookvol10.2.pamphlet" 1555165 1555173 1555401 1555406) (-838 "bookvol10.4.pamphlet" 1554306 1554322 1555155 1555160) (-837 "bookvol10.2.pamphlet" 1554240 1554248 1554296 1554301) (-836 "bookvol10.3.pamphlet" 1552726 1552736 1553787 1553816) (-835 "bookvol10.4.pamphlet" 1552066 1552078 1552716 1552721) (-834 "bookvol10.3.pamphlet" 1549750 1549758 1552056 1552061) (-833 "bookvol10.4.pamphlet" 1541934 1541942 1549740 1549745) (-832 "bookvol10.2.pamphlet" 1539400 1539408 1541924 1541929) (-831 "bookvol10.4.pamphlet" 1538949 1538957 1539390 1539395) (-830 "bookvol10.3.pamphlet" 1538691 1538701 1538771 1538838) (-829 "bookvol10.3.pamphlet" 1537465 1537475 1538238 1538267) (-828 "bookvol10.4.pamphlet" 1536938 1536950 1537455 1537460) (-827 "bookvol10.4.pamphlet" 1535940 1535948 1536928 1536933) (-826 "bookvol10.2.pamphlet" 1535716 1535726 1535884 1535935) (-825 "bookvol10.4.pamphlet" 1534328 1534336 1535706 1535711) (-824 "bookvol10.2.pamphlet" 1533293 1533301 1534318 1534323) (-823 "bookvol10.3.pamphlet" 1532718 1532730 1533179 1533218) (-822 "bookvol10.4.pamphlet" 1532552 1532562 1532708 1532713) (-821 "bookvol10.3.pamphlet" 1532095 1532103 1532542 1532547) (-820 "bookvol10.3.pamphlet" 1531129 1531137 1532085 1532090) (-819 "bookvol10.3.pamphlet" 1530473 1530481 1531119 1531124) (-818 "bookvol10.3.pamphlet" 1524762 1524770 1530463 1530468) (-817 "bookvol10.3.pamphlet" 1524171 1524179 1524752 1524757) (-816 "bookvol10.2.pamphlet" 1523946 1523954 1524097 1524166) (-815 "bookvol10.3.pamphlet" 1517317 1517327 1523936 1523941) (-814 "bookvol10.3.pamphlet" 1516578 1516588 1517307 1517312) (-813 "bookvol10.3.pamphlet" 1516026 1516052 1516390 1516539) (-812 "bookvol10.3.pamphlet" 1513384 1513394 1513712 1513839) (-811 "bookvol10.3.pamphlet" 1505241 1505261 1505599 1505730) (-810 "bookvol10.4.pamphlet" 1503820 1503839 1505231 1505236) (-809 "bookvol10.4.pamphlet" 1501470 1501487 1503810 1503815) (-808 "bookvol10.4.pamphlet" 1497413 1497430 1501427 1501432) (-807 "bookvol10.4.pamphlet" 1496800 1496824 1497403 1497408) (-806 "bookvol10.4.pamphlet" 1494366 1494383 1496790 1496795) (-805 "bookvol10.4.pamphlet" 1491257 1491279 1494356 1494361) (-804 "bookvol10.3.pamphlet" 1489843 1489851 1491247 1491252) (-803 "bookvol10.4.pamphlet" 1487147 1487169 1489833 1489838) (-802 "bookvol10.4.pamphlet" 1486523 1486547 1487137 1487142) (-801 "bookvol10.4.pamphlet" 1472885 1472893 1486513 1486518) (-800 "bookvol10.4.pamphlet" 1472316 1472332 1472875 1472880) (-799 "bookvol10.3.pamphlet" 1469711 1469719 1472306 1472311) (-798 "bookvol10.4.pamphlet" 1465078 1465094 1469701 1469706) (-797 "bookvol10.4.pamphlet" 1464597 1464615 1465068 1465073) (-796 "bookvol10.2.pamphlet" 1462982 1462990 1464587 1464592) (-795 "bookvol10.3.pamphlet" 1461114 1461124 1461832 1461871) (-794 "bookvol10.4.pamphlet" 1460750 1460771 1461104 1461109) (-793 "bookvol10.2.pamphlet" 1458524 1458534 1460706 1460745) (-792 NIL 1456023 1456035 1458207 1458212) (-791 "bookvol10.2.pamphlet" 1455871 1455879 1456013 1456018) (-790 "bookvol10.2.pamphlet" 1455619 1455627 1455861 1455866) (-789 "bookvol10.2.pamphlet" 1454911 1454919 1455609 1455614) (-788 "bookvol10.2.pamphlet" 1454772 1454780 1454901 1454906) (-787 "bookvol10.2.pamphlet" 1454634 1454642 1454762 1454767) (-786 "bookvol10.4.pamphlet" 1454357 1454373 1454624 1454629) (-785 "bookvol10.4.pamphlet" 1442674 1442682 1454347 1454352) (-784 "bookvol10.4.pamphlet" 1433433 1433441 1442664 1442669) (-783 "bookvol10.2.pamphlet" 1430772 1430780 1433423 1433428) (-782 "bookvol10.4.pamphlet" 1429612 1429620 1430762 1430767) (-781 "bookvol10.4.pamphlet" 1421684 1421694 1429417 1429422) (-780 "bookvol10.2.pamphlet" 1420981 1420997 1421640 1421679) (-779 "bookvol10.4.pamphlet" 1420526 1420536 1420898 1420903) (-778 "bookvol10.3.pamphlet" 1413515 1413525 1418076 1418229) (-777 "bookvol10.4.pamphlet" 1412907 1412919 1413505 1413510) (-776 "bookvol10.3.pamphlet" 1409102 1409121 1409410 1409537) (-775 "bookvol10.3.pamphlet" 1407626 1407636 1407703 1407796) (-774 "bookvol10.4.pamphlet" 1405998 1406012 1407616 1407621) (-773 "bookvol10.4.pamphlet" 1405890 1405919 1405988 1405993) (-772 "bookvol10.4.pamphlet" 1405136 1405156 1405880 1405885) (-771 "bookvol10.3.pamphlet" 1405024 1405038 1405116 1405131) (-770 "bookvol10.4.pamphlet" 1404618 1404657 1405014 1405019) (-769 "bookvol10.4.pamphlet" 1403152 1403171 1404608 1404613) (-768 "bookvol10.4.pamphlet" 1402840 1402866 1403142 1403147) (-767 "bookvol10.3.pamphlet" 1402581 1402589 1402830 1402835) (-766 "bookvol10.4.pamphlet" 1402257 1402267 1402571 1402576) (-765 "bookvol10.4.pamphlet" 1401726 1401742 1402247 1402252) (-764 "bookvol10.3.pamphlet" 1400616 1400624 1401700 1401721) (-763 "bookvol10.4.pamphlet" 1399238 1399248 1400606 1400611) (-762 "bookvol10.3.pamphlet" 1396836 1396844 1399228 1399233) (-761 "bookvol10.4.pamphlet" 1394296 1394313 1396826 1396831) (-760 "bookvol10.4.pamphlet" 1393549 1393563 1394286 1394291) (-759 "bookvol10.4.pamphlet" 1391661 1391677 1393539 1393544) (-758 "bookvol10.4.pamphlet" 1391318 1391332 1391651 1391656) (-757 "bookvol10.4.pamphlet" 1389478 1389492 1391308 1391313) (-756 "bookvol10.2.pamphlet" 1389074 1389082 1389468 1389473) (-755 NIL 1388668 1388678 1389064 1389069) (-754 "bookvol10.2.pamphlet" 1387954 1387962 1388658 1388663) (-753 NIL 1387238 1387248 1387944 1387949) (-752 "bookvol10.4.pamphlet" 1386311 1386319 1387228 1387233) (-751 "bookvol10.4.pamphlet" 1375877 1375885 1386301 1386306) (-750 "bookvol10.4.pamphlet" 1374313 1374321 1375867 1375872) (-749 "bookvol10.4.pamphlet" 1368487 1368495 1374303 1374308) (-748 "bookvol10.4.pamphlet" 1362231 1362239 1368477 1368482) (-747 "bookvol10.4.pamphlet" 1357853 1357861 1362221 1362226) (-746 "bookvol10.4.pamphlet" 1351227 1351235 1357843 1357848) (-745 "bookvol10.4.pamphlet" 1341622 1341630 1351217 1351222) (-744 "bookvol10.4.pamphlet" 1337549 1337557 1341612 1341617) (-743 "bookvol10.4.pamphlet" 1335424 1335432 1337539 1337544) (-742 "bookvol10.4.pamphlet" 1327870 1327878 1335414 1335419) (-741 "bookvol10.4.pamphlet" 1322026 1322034 1327860 1327865) (-740 "bookvol10.4.pamphlet" 1317856 1317864 1322016 1322021) (-739 "bookvol10.4.pamphlet" 1316368 1316376 1317846 1317851) (-738 "bookvol10.4.pamphlet" 1315666 1315674 1316358 1316363) (-737 "bookvol10.2.pamphlet" 1315172 1315182 1315634 1315661) (-736 NIL 1314698 1314710 1315162 1315167) (-735 "bookvol10.3.pamphlet" 1311919 1311933 1312248 1312401) (-734 "bookvol10.3.pamphlet" 1310038 1310052 1310110 1310330) (-733 "bookvol10.4.pamphlet" 1307022 1307039 1310028 1310033) (-732 "bookvol10.4.pamphlet" 1306420 1306437 1307012 1307017) (-731 "bookvol10.2.pamphlet" 1304454 1304475 1306318 1306415) (-730 "bookvol10.4.pamphlet" 1304111 1304121 1304444 1304449) (-729 "bookvol10.4.pamphlet" 1303551 1303559 1304101 1304106) (-728 "bookvol10.3.pamphlet" 1301556 1301566 1303313 1303352) (-727 "bookvol10.2.pamphlet" 1301389 1301399 1301512 1301551) (-726 "bookvol10.3.pamphlet" 1298342 1298354 1301097 1301164) (-725 "bookvol10.4.pamphlet" 1297902 1297916 1298332 1298337) (-724 "bookvol10.4.pamphlet" 1297463 1297480 1297892 1297897) (-723 "bookvol10.4.pamphlet" 1295508 1295527 1297453 1297458) (-722 "bookvol10.3.pamphlet" 1292958 1292973 1293302 1293429) (-721 "bookvol10.4.pamphlet" 1292237 1292256 1292948 1292953) (-720 "bookvol10.4.pamphlet" 1292045 1292088 1292227 1292232) (-719 "bookvol10.4.pamphlet" 1291789 1291825 1292035 1292040) (-718 "bookvol10.4.pamphlet" 1290124 1290141 1291779 1291784) (-717 "bookvol10.2.pamphlet" 1288988 1288996 1290114 1290119) (-716 NIL 1287850 1287860 1288978 1288983) (-715 "bookvol10.2.pamphlet" 1286596 1286609 1287710 1287845) (-714 NIL 1285364 1285379 1286480 1286485) (-713 "bookvol10.2.pamphlet" 1283370 1283378 1285354 1285359) (-712 NIL 1281374 1281384 1283360 1283365) (-711 "bookvol10.2.pamphlet" 1280518 1280526 1281364 1281369) (-710 NIL 1279660 1279670 1280508 1280513) (-709 "bookvol10.3.pamphlet" 1278339 1278353 1279640 1279655) (-708 "bookvol10.2.pamphlet" 1278020 1278030 1278307 1278334) (-707 NIL 1277721 1277733 1278010 1278015) (-706 "bookvol10.3.pamphlet" 1277034 1277073 1277701 1277716) (-705 "bookvol10.3.pamphlet" 1275676 1275688 1276856 1276923) (-704 "bookvol10.3.pamphlet" 1275187 1275205 1275666 1275671) (-703 "bookvol10.3.pamphlet" 1271847 1271863 1272665 1272818) (-702 "bookvol10.3.pamphlet" 1271208 1271247 1271749 1271842) (-701 "bookvol10.3.pamphlet" 1269995 1270003 1271198 1271203) (-700 "bookvol10.4.pamphlet" 1269735 1269769 1269985 1269990) (-699 "bookvol10.2.pamphlet" 1268177 1268187 1269691 1269730) (-698 "bookvol10.4.pamphlet" 1266749 1266766 1268167 1268172) (-697 "bookvol10.4.pamphlet" 1266219 1266237 1266739 1266744) (-696 "bookvol10.4.pamphlet" 1265805 1265818 1266209 1266214) (-695 "bookvol10.4.pamphlet" 1265120 1265130 1265795 1265800) (-694 "bookvol10.4.pamphlet" 1264013 1264023 1265110 1265115) (-693 "bookvol10.3.pamphlet" 1263789 1263799 1264003 1264008) (-692 "bookvol10.4.pamphlet" 1263250 1263268 1263779 1263784) (-691 "bookvol10.3.pamphlet" 1262689 1262697 1263152 1263245) (-690 "bookvol10.4.pamphlet" 1261328 1261338 1262679 1262684) (-689 "bookvol10.3.pamphlet" 1259772 1259780 1261218 1261323) (-688 "bookvol10.4.pamphlet" 1259172 1259194 1259762 1259767) (-687 "bookvol10.4.pamphlet" 1257034 1257042 1259162 1259167) (-686 "bookvol10.4.pamphlet" 1255275 1255285 1257024 1257029) (-685 "bookvol10.2.pamphlet" 1254550 1254560 1255243 1255270) (-684 "bookvol10.3.pamphlet" 1250523 1250531 1251137 1251338) (-683 "bookvol10.4.pamphlet" 1249731 1249743 1250513 1250518) (-682 "bookvol10.4.pamphlet" 1246839 1246865 1249721 1249726) (-681 "bookvol10.4.pamphlet" 1244115 1244125 1246829 1246834) (-680 "bookvol10.3.pamphlet" 1243006 1243016 1243490 1243517) (-679 "bookvol10.4.pamphlet" 1240332 1240356 1242890 1242895) (-678 "bookvol10.2.pamphlet" 1225543 1225565 1240288 1240327) (-677 NIL 1210602 1210626 1225349 1225354) (-676 "bookvol10.4.pamphlet" 1209870 1209918 1210592 1210597) (-675 "bookvol10.4.pamphlet" 1208590 1208602 1209860 1209865) (-674 "bookvol10.4.pamphlet" 1207489 1207503 1208580 1208585) (-673 "bookvol10.4.pamphlet" 1206823 1206835 1207479 1207484) (-672 "bookvol10.4.pamphlet" 1205641 1205651 1206813 1206818) (-671 "bookvol10.4.pamphlet" 1205449 1205463 1205631 1205636) (-670 "bookvol10.4.pamphlet" 1205214 1205226 1205439 1205444) (-669 "bookvol10.4.pamphlet" 1204844 1204854 1205204 1205209) (-668 "bookvol10.3.pamphlet" 1202788 1202805 1204834 1204839) (-667 "bookvol10.3.pamphlet" 1200707 1200717 1202389 1202394) (-666 "bookvol10.2.pamphlet" 1196163 1196173 1200687 1200702) (-665 NIL 1191627 1191639 1196153 1196158) (-664 "bookvol10.3.pamphlet" 1188433 1188450 1191617 1191622) (-663 "bookvol10.3.pamphlet" 1186691 1186705 1187113 1187164) (-662 "bookvol10.4.pamphlet" 1186224 1186241 1186681 1186686) (-661 "bookvol10.4.pamphlet" 1185064 1185092 1186214 1186219) (-660 "bookvol10.4.pamphlet" 1182868 1182882 1185054 1185059) (-659 "bookvol10.2.pamphlet" 1182525 1182535 1182824 1182863) (-658 NIL 1182214 1182226 1182515 1182520) (-657 "bookvol10.3.pamphlet" 1181228 1181247 1182070 1182139) (-656 "bookvol10.4.pamphlet" 1180485 1180495 1181218 1181223) (-655 "bookvol10.4.pamphlet" 1178930 1178979 1180475 1180480) (-654 "bookvol10.4.pamphlet" 1177569 1177579 1178920 1178925) (-653 "bookvol10.3.pamphlet" 1176970 1176984 1177503 1177530) (-652 "bookvol10.2.pamphlet" 1176572 1176580 1176960 1176965) (-651 NIL 1176172 1176182 1176562 1176567) (-650 "bookvol10.4.pamphlet" 1175090 1175102 1176162 1176167) (-649 "bookvol10.3.pamphlet" 1174477 1174493 1174770 1174809) (-648 "bookvol10.4.pamphlet" 1173521 1173538 1174434 1174439) (-647 "bookvol10.2.pamphlet" 1172138 1172148 1173477 1173516) (-646 NIL 1170753 1170765 1172094 1172099) (-645 "bookvol10.3.pamphlet" 1170029 1170041 1170433 1170472) (-644 "bookvol10.3.pamphlet" 1169432 1169442 1169709 1169748) (-643 "bookvol10.4.pamphlet" 1168204 1168222 1169422 1169427) (-642 "bookvol10.2.pamphlet" 1166579 1166589 1168106 1168199) (-641 "bookvol10.2.pamphlet" 1162327 1162337 1166559 1166574) (-640 NIL 1158049 1158061 1162283 1162288) (-639 "bookvol10.3.pamphlet" 1154785 1154802 1158039 1158044) (-638 "bookvol10.2.pamphlet" 1154268 1154278 1154775 1154780) (-637 "bookvol10.3.pamphlet" 1153368 1153378 1154042 1154069) (-636 "bookvol10.4.pamphlet" 1152799 1152813 1153358 1153363) (-635 "bookvol10.3.pamphlet" 1150740 1150750 1152169 1152196) (-634 "bookvol10.4.pamphlet" 1150031 1150045 1150730 1150735) (-633 "bookvol10.4.pamphlet" 1148671 1148683 1150021 1150026) (-632 "bookvol10.4.pamphlet" 1145544 1145556 1148661 1148666) (-631 "bookvol10.2.pamphlet" 1144976 1144986 1145524 1145539) (-630 "bookvol10.4.pamphlet" 1143753 1143765 1144888 1144893) (-629 "bookvol10.4.pamphlet" 1141667 1141677 1143743 1143748) (-628 "bookvol10.4.pamphlet" 1140550 1140563 1141657 1141662) (-627 "bookvol10.3.pamphlet" 1138564 1138576 1139840 1139985) (-626 "bookvol10.2.pamphlet" 1138089 1138099 1138490 1138559) (-625 NIL 1137642 1137654 1138045 1138050) (-624 "bookvol10.3.pamphlet" 1136175 1136183 1136883 1136898) (-623 "bookvol10.4.pamphlet" 1133543 1133562 1136165 1136170) (-622 "bookvol10.4.pamphlet" 1132286 1132302 1133533 1133538) (-621 "bookvol10.2.pamphlet" 1130993 1131001 1132276 1132281) (-620 "bookvol10.4.pamphlet" 1126645 1126660 1130983 1130988) (-619 "bookvol10.3.pamphlet" 1124708 1124735 1126625 1126640) (-618 "bookvol10.4.pamphlet" 1123092 1123109 1124698 1124703) (-617 "bookvol10.4.pamphlet" 1122150 1122172 1123082 1123087) (-616 "bookvol10.3.pamphlet" 1120922 1120935 1121743 1121812) (-615 "bookvol10.4.pamphlet" 1120495 1120511 1120912 1120917) (-614 "bookvol10.3.pamphlet" 1119935 1119949 1120417 1120456) (-613 "bookvol10.2.pamphlet" 1119711 1119721 1119915 1119930) (-612 NIL 1119495 1119507 1119701 1119706) (-611 "bookvol10.4.pamphlet" 1118208 1118225 1119485 1119490) (-610 "bookvol10.2.pamphlet" 1117930 1117940 1118198 1118203) (-609 "bookvol10.2.pamphlet" 1117667 1117677 1117920 1117925) (-608 "bookvol10.3.pamphlet" 1116202 1116212 1117451 1117456) (-607 "bookvol10.4.pamphlet" 1115905 1115917 1116192 1116197) (-606 "bookvol10.2.pamphlet" 1114996 1115018 1115873 1115900) (-605 NIL 1114107 1114131 1114986 1114991) (-604 "bookvol10.3.pamphlet" 1112729 1112745 1113454 1113481) (-603 "bookvol10.3.pamphlet" 1110706 1110718 1112019 1112164) (-602 "bookvol10.2.pamphlet" 1108788 1108812 1110686 1110701) (-601 NIL 1106735 1106761 1108635 1108640) (-600 "bookvol10.3.pamphlet" 1105743 1105758 1105883 1105910) (-599 "bookvol10.3.pamphlet" 1104903 1104913 1105733 1105738) (-598 "bookvol10.4.pamphlet" 1103714 1103733 1104893 1104898) (-597 "bookvol10.4.pamphlet" 1103208 1103222 1103704 1103709) (-596 "bookvol10.4.pamphlet" 1102938 1102950 1103198 1103203) (-595 "bookvol10.3.pamphlet" 1100730 1100745 1102774 1102899) (-594 "bookvol10.3.pamphlet" 1093156 1093171 1099704 1099801) (-593 "bookvol10.4.pamphlet" 1092639 1092655 1093146 1093151) (-592 "bookvol10.3.pamphlet" 1091869 1091882 1092035 1092062) (-591 "bookvol10.4.pamphlet" 1090949 1090968 1091859 1091864) (-590 "bookvol10.4.pamphlet" 1088913 1088921 1090939 1090944) (-589 "bookvol10.4.pamphlet" 1087436 1087446 1088869 1088874) (-588 "bookvol10.4.pamphlet" 1087037 1087048 1087426 1087431) (-587 "bookvol10.4.pamphlet" 1085383 1085393 1087027 1087032) (-586 "bookvol10.3.pamphlet" 1083128 1083142 1085238 1085265) (-585 "bookvol10.4.pamphlet" 1082264 1082280 1083118 1083123) (-584 "bookvol10.4.pamphlet" 1081405 1081421 1082254 1082259) (-583 "bookvol10.4.pamphlet" 1081165 1081173 1081395 1081400) (-582 "bookvol10.3.pamphlet" 1080858 1080870 1080970 1081063) (-581 "bookvol10.3.pamphlet" 1080619 1080645 1080784 1080853) (-580 "bookvol10.4.pamphlet" 1080228 1080244 1080609 1080614) (-579 "bookvol10.4.pamphlet" 1073474 1073491 1080218 1080223) (-578 "bookvol10.4.pamphlet" 1071333 1071349 1073048 1073053) (-577 "bookvol10.4.pamphlet" 1070639 1070647 1071323 1071328) (-576 "bookvol10.3.pamphlet" 1070415 1070425 1070553 1070634) (-575 "bookvol10.4.pamphlet" 1068779 1068793 1070405 1070410) (-574 "bookvol10.4.pamphlet" 1068268 1068278 1068769 1068774) (-573 "bookvol10.4.pamphlet" 1066913 1066930 1068258 1068263) (-572 "bookvol10.4.pamphlet" 1065276 1065292 1066556 1066561) (-571 "bookvol10.4.pamphlet" 1063003 1063021 1065208 1065213) (-570 "bookvol10.4.pamphlet" 1053110 1053118 1062993 1062998) (-569 "bookvol10.3.pamphlet" 1052471 1052479 1052964 1053105) (-568 "bookvol10.4.pamphlet" 1051737 1051754 1052461 1052466) (-567 "bookvol10.4.pamphlet" 1051402 1051426 1051727 1051732) (-566 "bookvol10.4.pamphlet" 1047803 1047811 1051392 1051397) (-565 "bookvol10.4.pamphlet" 1041183 1041201 1047735 1047740) (-564 "bookvol10.3.pamphlet" 1035181 1035189 1041173 1041178) (-563 "bookvol10.4.pamphlet" 1034281 1034338 1035171 1035176) (-562 "bookvol10.4.pamphlet" 1033355 1033365 1034271 1034276) (-561 "bookvol10.4.pamphlet" 1033223 1033247 1033345 1033350) (-560 "bookvol10.4.pamphlet" 1031537 1031553 1033213 1033218) (-559 "bookvol10.2.pamphlet" 1030161 1030169 1031463 1031532) (-558 NIL 1028847 1028857 1030151 1030156) (-557 "bookvol10.4.pamphlet" 1027977 1028064 1028837 1028842) (-556 "bookvol10.2.pamphlet" 1026440 1026450 1027891 1027972) (-555 "bookvol10.4.pamphlet" 1025943 1025951 1026430 1026435) (-554 "bookvol10.4.pamphlet" 1025125 1025152 1025933 1025938) (-553 "bookvol10.4.pamphlet" 1024617 1024633 1025115 1025120) (-552 "bookvol10.3.pamphlet" 1023697 1023728 1023860 1023887) (-551 "bookvol10.2.pamphlet" 1021093 1021101 1023599 1023692) (-550 NIL 1018575 1018585 1021083 1021088) (-549 "bookvol10.4.pamphlet" 1018009 1018022 1018565 1018570) (-548 "bookvol10.4.pamphlet" 1017075 1017094 1017999 1018004) (-547 "bookvol10.4.pamphlet" 1016133 1016157 1017065 1017070) (-546 "bookvol10.4.pamphlet" 1015119 1015136 1016123 1016128) (-545 "bookvol10.4.pamphlet" 1014266 1014296 1015109 1015114) (-544 "bookvol10.4.pamphlet" 1012551 1012573 1014256 1014261) (-543 "bookvol10.4.pamphlet" 1011601 1011620 1012541 1012546) (-542 "bookvol10.3.pamphlet" 1008645 1008653 1011591 1011596) (-541 "bookvol10.4.pamphlet" 1008270 1008280 1008635 1008640) (-540 "bookvol10.4.pamphlet" 1007858 1007866 1008260 1008265) (-539 "bookvol10.3.pamphlet" 1007239 1007302 1007848 1007853) (-538 "bookvol10.3.pamphlet" 1006645 1006668 1007229 1007234) (-537 "bookvol10.2.pamphlet" 1005268 1005331 1006635 1006640) (-536 "bookvol10.4.pamphlet" 1003800 1003822 1005258 1005263) (-535 "bookvol10.3.pamphlet" 1003706 1003723 1003790 1003795) (-534 "bookvol10.4.pamphlet" 1003127 1003137 1003696 1003701) (-533 "bookvol10.4.pamphlet" 998893 998904 1003117 1003122) (-532 "bookvol10.3.pamphlet" 998025 998051 998537 998564) (-531 "bookvol10.4.pamphlet" 997115 997159 997981 997986) (-530 "bookvol10.4.pamphlet" 995720 995744 997071 997076) (-529 "bookvol10.3.pamphlet" 994599 994614 995126 995153) (-528 "bookvol10.3.pamphlet" 994324 994362 994429 994456) (-527 "bookvol10.3.pamphlet" 993734 993750 994005 994098) (-526 "bookvol10.3.pamphlet" 990805 990820 993140 993167) (-525 "bookvol10.3.pamphlet" 990643 990660 990761 990766) (-524 "bookvol10.2.pamphlet" 990032 990044 990633 990638) (-523 NIL 989419 989433 990022 990027) (-522 "bookvol10.3.pamphlet" 989232 989244 989409 989414) (-521 "bookvol10.3.pamphlet" 989003 989015 989222 989227) (-520 "bookvol10.3.pamphlet" 988738 988750 988993 988998) (-519 "bookvol10.2.pamphlet" 987672 987684 988728 988733) (-518 "bookvol10.3.pamphlet" 987432 987444 987662 987667) (-517 "bookvol10.3.pamphlet" 987194 987206 987422 987427) (-516 "bookvol10.4.pamphlet" 984446 984464 987184 987189) (-515 "bookvol10.3.pamphlet" 979380 979419 984381 984386) (-514 "bookvol10.3.pamphlet" 978801 978824 979370 979375) (-513 "bookvol10.4.pamphlet" 977952 977968 978791 978796) (-512 "bookvol10.3.pamphlet" 977175 977183 977942 977947) (-511 "bookvol10.4.pamphlet" 975798 975815 977165 977170) (-510 "bookvol10.3.pamphlet" 975076 975089 975492 975519) (-509 "bookvol10.4.pamphlet" 971951 971970 975066 975071) (-508 "bookvol10.4.pamphlet" 970839 970854 971941 971946) (-507 "bookvol10.3.pamphlet" 970570 970596 970669 970696) (-506 "bookvol10.3.pamphlet" 969883 969898 969976 970003) (-505 "bookvol10.3.pamphlet" 968096 968104 969699 969792) (-504 "bookvol10.4.pamphlet" 967651 967684 968086 968091) (-503 "bookvol10.2.pamphlet" 967075 967083 967641 967646) (-502 NIL 966497 966507 967065 967070) (-501 "bookvol10.3.pamphlet" 965297 965305 966487 966492) (-500 "bookvol10.2.pamphlet" 962547 962557 965277 965292) (-499 NIL 959638 959650 962370 962375) (-498 "bookvol10.3.pamphlet" 957507 957515 958105 958198) (-497 "bookvol10.4.pamphlet" 956361 956372 957497 957502) (-496 "bookvol10.3.pamphlet" 955951 955975 956351 956356) (-495 "bookvol10.3.pamphlet" 951674 951684 955781 955808) (-494 "bookvol10.3.pamphlet" 943527 943543 943889 944020) (-493 "bookvol10.3.pamphlet" 940718 940733 941321 941448) (-492 "bookvol10.4.pamphlet" 939258 939266 940708 940713) (-491 "bookvol10.3.pamphlet" 938290 938321 938501 938528) (-490 "bookvol10.3.pamphlet" 937875 937883 938192 938285) (-489 "bookvol10.4.pamphlet" 923752 923764 937865 937870) (-488 "bookvol10.4.pamphlet" 923497 923505 923597 923602) (-487 "bookvol10.4.pamphlet" 907570 907606 923367 923372) (-486 "bookvol10.4.pamphlet" 907331 907339 907429 907434) (-485 "bookvol10.4.pamphlet" 907152 907166 907265 907270) (-484 "bookvol10.4.pamphlet" 907029 907043 907142 907147) (-483 "bookvol10.4.pamphlet" 906862 906870 906962 906967) (-482 "bookvol10.3.pamphlet" 906054 906070 906564 906591) (-481 "bookvol10.3.pamphlet" 905135 905170 905309 905324) (-480 "bookvol10.3.pamphlet" 902302 902329 903267 903416) (-479 "bookvol10.2.pamphlet" 901268 901276 902282 902297) (-478 NIL 900242 900252 901258 901263) (-477 "bookvol10.4.pamphlet" 898825 898846 900232 900237) (-476 "bookvol10.2.pamphlet" 897403 897415 898815 898820) (-475 NIL 895979 895993 897393 897398) (-474 "bookvol10.3.pamphlet" 888584 888592 895969 895974) (-473 "bookvol10.4.pamphlet" 886963 886971 888574 888579) (-472 "bookvol10.4.pamphlet" 885406 885414 886953 886958) (-471 "bookvol10.2.pamphlet" 884460 884472 885396 885401) (-470 NIL 883512 883526 884450 884455) (-469 "bookvol10.3.pamphlet" 883022 883045 883250 883277) (-468 "bookvol10.4.pamphlet" 877712 877799 882978 882983) (-467 "bookvol10.4.pamphlet" 876973 876991 877702 877707) (-466 "bookvol10.3.pamphlet" 871561 871569 876963 876968) (-465 "bookvol10.3.pamphlet" 867916 867924 871551 871556) (-464 "bookvol10.3.pamphlet" 867023 867050 867884 867911) (-463 "bookvol10.4.pamphlet" 866133 866147 867013 867018) (-462 "bookvol10.4.pamphlet" 862234 862247 866123 866128) (-461 "bookvol10.4.pamphlet" 861838 861848 862224 862229) (-460 "bookvol10.4.pamphlet" 861422 861439 861828 861833) (-459 "bookvol10.4.pamphlet" 860889 860908 861412 861417) (-458 "bookvol10.4.pamphlet" 858879 858892 860879 860884) (-457 "bookvol10.4.pamphlet" 857136 857144 858869 858874) (-456 "bookvol10.3.pamphlet" 854169 854186 854930 855057) (-455 "bookvol10.3.pamphlet" 848064 848091 853963 854030) (-454 "bookvol10.2.pamphlet" 846992 847000 847990 848059) (-453 NIL 845982 845992 846982 846987) (-452 "bookvol10.4.pamphlet" 839763 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"bookvol10.2.pamphlet" 700306 700316 700574 700589) (-379 NIL 699972 699984 700242 700247) (-378 "bookvol10.4.pamphlet" 699222 699234 699962 699967) (-377 "bookvol10.2.pamphlet" 696927 696946 699148 699217) (-376 "bookvol10.2.pamphlet" 693925 693935 696895 696922) (-375 NIL 690836 690848 693808 693813) (-374 "bookvol10.4.pamphlet" 689505 689521 690826 690831) (-373 "bookvol10.2.pamphlet" 687538 687551 689461 689500) (-372 NIL 685497 685512 687422 687427) (-371 "bookvol10.2.pamphlet" 684649 684657 685487 685492) (-370 "bookvol10.2.pamphlet" 673578 673588 684591 684644) (-369 NIL 662519 662531 673534 673539) (-368 "bookvol10.3.pamphlet" 662102 662112 662509 662514) (-367 "bookvol10.2.pamphlet" 660531 660548 662092 662097) (-366 "bookvol10.2.pamphlet" 659849 659857 660433 660526) (-365 NIL 659253 659263 659839 659844) (-364 "bookvol10.3.pamphlet" 657862 657872 659233 659248) (-363 "bookvol10.4.pamphlet" 656677 656692 657852 657857) (-362 "bookvol10.3.pamphlet" 656096 656111 656393 656486) (-361 "bookvol10.4.pamphlet" 655961 655978 656086 656091) (-360 "bookvol10.4.pamphlet" 655450 655471 655951 655956) (-359 "bookvol10.4.pamphlet" 646729 646740 655440 655445) (-358 "bookvol10.4.pamphlet" 645775 645792 646719 646724) (-357 "bookvol10.3.pamphlet" 645261 645281 645491 645584) (-356 "bookvol10.3.pamphlet" 644709 644725 644942 645035) (-355 "bookvol10.3.pamphlet" 643227 643247 644425 644518) (-354 "bookvol10.3.pamphlet" 641737 641754 642943 643036) (-353 "bookvol10.3.pamphlet" 640248 640269 641418 641511) (-352 "bookvol10.4.pamphlet" 637610 637629 640238 640243) (-351 "bookvol10.2.pamphlet" 635184 635192 637512 637605) (-350 NIL 632844 632854 635174 635179) (-349 "bookvol10.4.pamphlet" 631589 631606 632834 632839) (-348 "bookvol10.4.pamphlet" 629004 629015 631579 631584) (-347 "bookvol10.4.pamphlet" 622212 622228 628994 628999) (-346 "bookvol10.4.pamphlet" 620827 620846 622202 622207) (-345 "bookvol10.4.pamphlet" 620236 620253 620817 620822) (-344 "bookvol10.3.pamphlet" 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"bookvol10.2.pamphlet" 551162 551174 552940 553037) (-324 NIL 549266 549280 551046 551051) (-323 "bookvol10.4.pamphlet" 548816 548838 549256 549261) (-322 "bookvol10.3.pamphlet" 548466 548476 548770 548775) (-321 "bookvol10.2.pamphlet" 546657 546669 548456 548461) (-320 "bookvol10.3.pamphlet" 546263 546273 546553 546580) (-319 "bookvol10.4.pamphlet" 544459 544476 546253 546258) (-318 "bookvol10.4.pamphlet" 544341 544351 544449 544454) (-317 "bookvol10.4.pamphlet" 543517 543527 544331 544336) (-316 "bookvol10.4.pamphlet" 543399 543409 543507 543512) (-315 "bookvol10.3.pamphlet" 540232 540255 541531 541680) (-314 "bookvol10.4.pamphlet" 537596 537604 540222 540227) (-313 "bookvol10.4.pamphlet" 537498 537527 537586 537591) (-312 "bookvol10.4.pamphlet" 534306 534322 537488 537493) (-311 "bookvol10.3.pamphlet" 529555 529565 530295 530702) (-310 "bookvol10.4.pamphlet" 525615 525628 529545 529550) (-309 "bookvol10.4.pamphlet" 525375 525387 525605 525610) (-308 "bookvol10.3.pamphlet" 522313 522338 522947 523040) (-307 "bookvol10.4.pamphlet" 522166 522174 522303 522308) (-306 "bookvol10.3.pamphlet" 521833 521841 522156 522161) (-305 "bookvol10.4.pamphlet" 521323 521337 521823 521828) (-304 "bookvol10.2.pamphlet" 520887 520897 521313 521318) (-303 NIL 520449 520461 520877 520882) (-302 "bookvol10.2.pamphlet" 517983 517991 520375 520444) (-301 NIL 515579 515589 517973 517978) (-300 "bookvol10.4.pamphlet" 507419 507427 515569 515574) (-299 "bookvol10.4.pamphlet" 507004 507018 507409 507414) (-298 "bookvol10.4.pamphlet" 506681 506692 506994 506999) (-297 "bookvol10.2.pamphlet" 499228 499236 506671 506676) (-296 NIL 491681 491691 499126 499131) (-295 "bookvol10.4.pamphlet" 488454 488462 491671 491676) (-294 "bookvol10.4.pamphlet" 488195 488207 488444 488449) (-293 "bookvol10.4.pamphlet" 487690 487706 488185 488190) (-292 "bookvol10.4.pamphlet" 487256 487272 487680 487685) (-291 "bookvol10.4.pamphlet" 484630 484638 487246 487251) (-290 "bookvol10.3.pamphlet" 483664 483686 483873 483900) (-289 "bookvol10.3.pamphlet" 478522 478532 481337 481449) (-288 "bookvol10.4.pamphlet" 478238 478250 478512 478517) (-287 "bookvol10.4.pamphlet" 474552 474562 478228 478233) (-286 "bookvol10.2.pamphlet" 474094 474102 474496 474547) (-285 "bookvol10.3.pamphlet" 473274 473315 474020 474089) (-284 "bookvol10.2.pamphlet" 471528 471547 473264 473269) (-283 NIL 469746 469767 471484 471489) (-282 "bookvol10.2.pamphlet" 469210 469228 469736 469741) (-281 "bookvol10.4.pamphlet" 468589 468608 469200 469205) (-280 "bookvol10.2.pamphlet" 468278 468286 468579 468584) (-279 NIL 467965 467975 468268 468273) (-278 "bookvol10.2.pamphlet" 465669 465679 467933 467960) (-277 NIL 463322 463334 465588 465593) (-276 "bookvol10.4.pamphlet" 460113 460143 463278 463283) (-275 "bookvol10.4.pamphlet" 456964 456987 460069 460074) (-274 "bookvol10.4.pamphlet" 454919 454935 456954 456959) (-273 "bookvol10.4.pamphlet" 449685 449701 454909 454914) (-272 "bookvol10.3.pamphlet" 447961 447969 449675 449680) (-271 "bookvol10.3.pamphlet" 447497 447505 447951 447956) (-270 "bookvol10.3.pamphlet" 447074 447082 447487 447492) (-269 "bookvol10.3.pamphlet" 446654 446662 447064 447069) (-268 "bookvol10.3.pamphlet" 446190 446198 446644 446649) (-267 "bookvol10.3.pamphlet" 445726 445734 446180 446185) (-266 "bookvol10.3.pamphlet" 445262 445270 445716 445721) (-265 "bookvol10.3.pamphlet" 444798 444806 445252 445257) (-264 "bookvol10.4.pamphlet" 440414 440422 444788 444793) (-263 "bookvol10.2.pamphlet" 437095 437105 440404 440409) (-262 NIL 433774 433786 437085 437090) (-261 "bookvol10.4.pamphlet" 430754 430841 433764 433769) (-260 "bookvol10.3.pamphlet" 429924 429934 430584 430611) (-259 "bookvol10.2.pamphlet" 429512 429522 429880 429919) (-258 "bookvol10.3.pamphlet" 426955 426969 427248 427375) (-257 "bookvol10.3.pamphlet" 420900 420908 426945 426950) (-256 "bookvol10.4.pamphlet" 420561 420571 420890 420895) (-255 "bookvol10.4.pamphlet" 415386 415394 420551 420556) (-254 "bookvol10.4.pamphlet" 413541 413549 415376 415381) (-253 "bookvol10.4.pamphlet" 406141 406154 413531 413536) (-252 "bookvol10.4.pamphlet" 405394 405404 406131 406136) (-251 "bookvol10.4.pamphlet" 402749 402757 405384 405389) (-250 "bookvol10.4.pamphlet" 402286 402301 402739 402744) (-249 "bookvol10.4.pamphlet" 391458 391466 402276 402281) (-248 "bookvol10.2.pamphlet" 389610 389620 391414 391453) (-247 "bookvol10.2.pamphlet" 384951 384967 389478 389605) (-246 NIL 380378 380396 384907 384912) (-245 "bookvol10.3.pamphlet" 373737 373753 373875 374176) (-244 "bookvol10.3.pamphlet" 367109 367127 367234 367535) (-243 "bookvol10.3.pamphlet" 364346 364361 364903 365030) (-242 "bookvol10.4.pamphlet" 363690 363700 364336 364341) (-241 "bookvol10.3.pamphlet" 362325 362335 363096 363123) (-240 "bookvol10.2.pamphlet" 360718 360728 362305 362320) (-239 "bookvol10.2.pamphlet" 360165 360173 360662 360713) (-238 NIL 359656 359666 360155 360160) (-237 "bookvol10.3.pamphlet" 359509 359519 359588 359615) (-236 "bookvol10.2.pamphlet" 358268 358278 359477 359504) (-235 "bookvol10.4.pamphlet" 356448 356456 358258 358263) (-234 "bookvol10.3.pamphlet" 355740 355755 356284 356409) (-233 "bookvol10.3.pamphlet" 347330 347346 347955 348086) (-232 "bookvol10.4.pamphlet" 346153 346171 347320 347325) (-231 "bookvol10.2.pamphlet" 345315 345331 346005 346148) (-230 NIL 344218 344236 344910 344915) (-229 "bookvol10.4.pamphlet" 343021 343029 344208 344213) (-228 "bookvol10.2.pamphlet" 341993 342003 342989 343016) (-227 NIL 340951 340963 341949 341954) (-226 "bookvol10.2.pamphlet" 340064 340072 340931 340946) (-225 NIL 339185 339195 340054 340059) (-224 "bookvol10.2.pamphlet" 338344 338354 339165 339180) (-223 NIL 337420 337432 338243 338248) (-222 "bookvol10.2.pamphlet" 337038 337048 337388 337415) (-221 NIL 336676 336688 337028 337033) (-220 "bookvol10.3.pamphlet" 334884 334894 336320 336347) (-219 "bookvol10.3.pamphlet" 333612 333620 334008 334035) (-218 "bookvol10.4.pamphlet" 324556 324564 333602 333607) (-217 "bookvol10.3.pamphlet" 323759 323767 324188 324215) (-216 "bookvol10.3.pamphlet" 320036 320044 323649 323754) (-215 "bookvol10.4.pamphlet" 318245 318261 320026 320031) (-214 "bookvol10.3.pamphlet" 316155 316187 318225 318240) (-213 "bookvol10.3.pamphlet" 309829 309839 315985 316012) (-212 "bookvol10.4.pamphlet" 309442 309456 309819 309824) (-211 "bookvol10.4.pamphlet" 306923 306933 309432 309437) (-210 "bookvol10.4.pamphlet" 305419 305435 306913 306918) (-209 "bookvol10.3.pamphlet" 303300 303308 303886 303979) (-208 "bookvol10.4.pamphlet" 301151 301168 303290 303295) (-207 "bookvol10.4.pamphlet" 300749 300773 301141 301146) (-206 "bookvol10.3.pamphlet" 299336 299346 300739 300744) (-205 "bookvol10.3.pamphlet" 299164 299172 299326 299331) (-204 "bookvol10.3.pamphlet" 298984 298992 299154 299159) (-203 "bookvol10.4.pamphlet" 297923 297931 298974 298979) (-202 "bookvol10.3.pamphlet" 297385 297393 297913 297918) (-201 "bookvol10.3.pamphlet" 296863 296871 297375 297380) (-200 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diff -Nru axiom-20110301a/src/share/algebra/category.daase axiom-20111101/src/share/algebra/category.daase
--- axiom-20110301a/src/share/algebra/category.daase	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/category.daase	2011-12-01 04:03:16.000000000 +0000
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-1037) 125935) ((-1127 . -105) T) ((-643 . -137) T) ((-126 . -523) 125798) ((-652 . -787) 125777) ((-652 . -790) 125756) ((-575 . -1037) 125738) ((-288 . -1251) 125708) ((-853 . -105) T) ((-964 . -558) 125687) ((-1190 . -1053) 125570) ((-493 . -630) 125476) ((-899 . -1090) T) ((-1023 . -707) 125413) ((-701 . -1053) 125378) ((-857 . -637) 125330) ((-774 . -637) 125282) ((-599 . -39) T) ((-1132 . -1195) T) ((-1190 . -120) 125144) ((-479 . -637) 125041) ((-355 . -707) 124986) ((-169 . -895) 124945) ((-688 . -285) T) ((-733 . -1054) T) ((-683 . -172) T) ((-701 . -120) 124894) ((-1270 . -1054) T) ((-1216 . -379) 124878) ((-420 . -1199) 124856) ((-307 . -840) NIL) ((-420 . -558) T) ((-215 . -301) T) ((-1206 . -786) 124809) ((-1206 . -789) 124762) ((-33 . -1088) T) ((-1227 . -716) T) ((-1206 . -716) T) ((-53 . -707) 124727) ((-1155 . -285) 124638) ((-215 . -1021) T) ((-352 . -1251) 124615) ((-1229 . -413) 124581) ((-708 . -716) T) ((-1216 . -895) 124524) ((-121 . -608) 124506) ((-121 . -609) 124488) ((-708 . -478) T) ((-493 . -21) 124398) ((-136 . -499) 124382) ((-130 . -499) 124366) ((-493 . -25) 124217) ((-615 . -285) T) ((-774 . -39) T) ((-585 . -1053) 124192) ((-439 . -1090) T) ((-1058 . -301) T) ((-126 . -285) T) ((-1094 . -105) T) ((-1003 . -105) T) ((-585 . -120) 124153) ((-1239 . -1054) T) ((-1127 . -303) 124091) ((-1190 . -1047) T) ((-1058 . -1021) T) ((-71 . -1195) T) ((-1051 . -25) T) ((-1051 . -21) T) ((-701 . -1047) T) ((-387 . -21) T) ((-387 . -25) T) ((-683 . -523) NIL) ((-1023 . -172) T) ((-701 . -238) T) ((-1058 . -550) T) ((-857 . -716) T) ((-774 . -716) T) ((-511 . -105) T) ((-355 . -172) T) ((-341 . -608) 124073) ((-396 . -608) 124055) ((-479 . -716) T) ((-1108 . -840) T) ((-887 . -1037) 124023) ((-112 . -842) T) ((-648 . -1053) 124007) ((-497 . -137) T) ((-1229 . -1054) T) ((-208 . -137) T) ((-236 . -1053) 123989) ((-1141 . -105) 123967) ((-101 . -1090) T) ((-240 . -658) 123951) ((-240 . -640) 123935) ((-648 . -120) 123914) ((-310 . -413) 123898) 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. -895) 113930) ((-1207 . -365) 113909) ((-1206 . -895) 113760) ((-1023 . -608) 113742) ((-409 . -823) 113695) ((-1159 . -502) 113661) ((-169 . -916) 113592) ((-1158 . -502) 113558) ((-1151 . -502) 113524) ((-702 . -1090) T) ((-1114 . -502) 113490) ((-580 . -1053) 113477) ((-568 . -1053) 113464) ((-504 . -1053) 113429) ((-310 . -285) 113408) ((-307 . -285) T) ((-355 . -608) 113390) ((-420 . -25) T) ((-420 . -21) T) ((-101 . -281) 113369) ((-580 . -120) 113354) ((-568 . -120) 113339) ((-504 . -120) 113288) ((-1161 . -881) 113255) ((-35 . -105) T) ((-896 . -499) 113239) ((-116 . -608) 113221) ((-53 . -608) 113203) ((-53 . -609) 113148) ((-259 . -499) 113132) ((-232 . -137) 113002) ((-1216 . -916) 112981) ((-811 . -1199) 112960) ((-1035 . -523) 112768) ((-390 . -608) 112750) ((-811 . -558) 112681) ((-585 . -637) 112656) ((-257 . -52) 112628) ((-242 . -52) 112585) ((-534 . -518) 112562) ((-1000 . -1195) T) ((-1235 . -23) T) ((-688 . -1053) 112527) ((-774 . -895) 112440) ((-1235 . -1102) T) 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-1102) T) ((-1058 . -1199) T) ((-846 . -1102) T) ((-953 . -1199) 104386) ((-492 . -1199) 104365) ((-721 . -842) 104344) ((-1058 . -558) T) ((-953 . -558) 104275) ((-1157 . -23) T) ((-1113 . -23) T) ((-846 . -23) T) ((-492 . -558) 104206) ((-1127 . -707) 104138) ((-1131 . -523) 104071) ((-1035 . -609) NIL) ((-1035 . -608) 104053) ((-853 . -707) 104023) ((-1270 . -1053) 104010) ((-1270 . -120) 103995) ((-1190 . -52) 103964) ((-244 . -137) T) ((-243 . -137) T) ((-1094 . -1090) T) ((-1003 . -1090) T) ((-67 . -608) 103946) ((-1151 . -842) NIL) ((-1023 . -787) T) ((-1023 . -790) T) ((-1235 . -25) T) ((-733 . -1053) 103870) ((-1235 . -21) T) ((-1228 . -21) T) ((-864 . -637) 103857) ((-1228 . -25) T) ((-1207 . -21) T) ((-1207 . -25) T) ((-1201 . -25) T) ((-1201 . -21) T) ((-1027 . -154) 103841) ((-866 . -815) 103820) ((-866 . -916) T) ((-733 . -120) 103723) ((-702 . -281) 103650) ((-594 . -21) T) ((-594 . -25) T) ((-593 . -21) T) ((-45 . -716) T) ((-212 . -523) 103583) ((-593 . -25) T) ((-481 . -154) 103567) ((-468 . -154) 103551) ((-917 . -716) T) ((-763 . -788) T) ((-763 . -789) T) ((-511 . -1090) T) ((-763 . -716) T) ((-215 . -365) T) ((-1141 . -1090) 103529) ((-865 . -1199) T) ((-644 . -608) 103511) ((-865 . -558) T) ((-683 . -370) NIL) ((-361 . -1251) 103495) ((-662 . -105) T) ((-354 . -1251) 103479) ((-343 . -1251) 103463) ((-1265 . -1090) T) ((-528 . -842) 103442) ((-1239 . -1053) 103325) ((-812 . -453) 103304) ((-1044 . -1090) T) ((-1044 . -1066) 103233) ((-1027 . -977) 103202) ((-814 . -1102) T) ((-1003 . -707) 103147) ((-1239 . -120) 103009) ((-233 . -137) T) ((-388 . -1102) T) ((-481 . -977) 102978) ((-468 . -977) 102947) ((-921 . -1088) T) ((-114 . -154) 102929) ((-78 . -608) 102911) ((-888 . -608) 102893) ((-1073 . -714) 102872) ((-733 . -1047) T) ((-1270 . -1047) T) ((-811 . -630) 102820) ((-288 . -1054) 102762) ((-169 . -1199) 102667) ((-215 . -1102) T) ((-321 . -23) T) ((-1151 . -993) 102619) ((-835 . -1090) T) ((-733 . -238) 102598) ((-1114 . -730) 102577) 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. -23) T) ((-352 . -1054) T) ((-1239 . -1047) T) ((-1190 . -895) 101549) ((-662 . -303) 101487) ((-1239 . -225) 101446) ((-1103 . -1251) 101416) ((-688 . -637) 101381) ((-1004 . -842) T) ((-1003 . -172) T) ((-964 . -148) 101360) ((-626 . -1090) T) ((-602 . -1090) T) ((-964 . -150) 101339) ((-857 . -916) T) ((-725 . -150) 101318) ((-725 . -148) 101297) ((-972 . -842) T) ((-774 . -916) T) ((-479 . -916) 101276) ((-310 . -1053) 101186) ((-307 . -1053) 101115) ((-999 . -281) 101073) ((-1155 . -904) 101052) ((-409 . -707) 101004) ((-690 . -840) T) ((-538 . -1088) T) ((-513 . -1090) T) ((-1229 . -1047) T) ((-310 . -120) 100893) ((-307 . -120) 100778) ((-1229 . -324) 100722) ((-1155 . -637) 100647) ((-965 . -105) T) ((-810 . -105) 100437) ((-702 . -609) NIL) ((-702 . -608) 100419) ((-1035 . -283) 100394) ((-648 . -1037) 100290) ((-860 . -301) T) ((-580 . -716) T) ((-568 . -789) T) ((-568 . -786) T) ((-169 . -365) 100241) ((-568 . -716) T) ((-504 . -716) T) ((-236 . -1037) 100225) ((-855 . -301) T) ((-1131 . -499) 100209) ((-1078 . -881) NIL) ((-865 . -1102) T) ((-126 . -904) NIL) ((-1264 . -1263) 100185) ((-1262 . -1263) 100164) ((-777 . -881) NIL) ((-775 . -881) 100023) ((-1257 . -25) T) ((-1257 . -21) T) ((-1193 . -105) 100001) ((-1096 . -397) T) ((-615 . -637) 99988) ((-455 . -881) NIL) ((-666 . -105) 99966) ((-1078 . -1037) 99793) ((-865 . -23) T) ((-777 . -1037) 99652) ((-775 . -1037) 99509) ((-126 . -637) 99454) ((-455 . -1037) 99330) ((-638 . -1037) 99314) ((-618 . -105) T) ((-212 . -499) 99298) ((-1244 . -39) T) ((-626 . -707) 99282) ((-602 . -707) 99266) ((-662 . -43) 99226) ((-314 . -105) T) ((-216 . -1090) T) ((-144 . -1090) T) ((-90 . -608) 99208) ((-55 . -1037) 99192) ((-1108 . -1053) 99179) ((-1078 . -379) 99163) ((-777 . -379) 99147) ((-65 . -62) 99109) ((-688 . -789) T) ((-688 . -786) T) ((-581 . -1037) 99096) ((-526 . -1037) 99073) ((-688 . -716) T) ((-321 . -137) T) ((-310 . -1047) 98963) ((-307 . -1047) T) ((-169 . -1102) T) ((-775 . -379) 98947) 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88839) ((-392 . -707) 88823) ((-1155 . -379) 88807) ((-613 . -707) 88791) ((-50 . -303) 88595) ((-811 . -148) 88574) ((-811 . -150) 88553) ((-1265 . -384) 88532) ((-814 . -842) T) ((-1246 . -1090) T) ((-1235 . -40) 88498) ((-1235 . -98) 88464) ((-1235 . -1184) 88430) ((-1144 . -221) 88377) ((-1235 . -1181) 88343) ((-388 . -842) 88322) ((-1228 . -1181) 88288) ((-1228 . -1184) 88254) ((-1228 . -98) 88220) ((-216 . -677) 88188) ((-144 . -677) 88149) ((-1228 . -40) 88115) ((-1227 . -1102) T) ((-1207 . -1181) 88081) ((-524 . -137) T) ((-1207 . -1184) 88047) ((-1201 . -1184) 88013) ((-1201 . -1181) 87979) ((-1207 . -98) 87945) ((-1207 . -40) 87911) ((-626 . -608) 87880) ((-602 . -608) 87849) ((-33 . -105) T) ((-215 . -842) T) ((-1206 . -1102) T) ((-1201 . -40) 87815) ((-1201 . -98) 87781) ((-1108 . -637) 87768) ((-1155 . -895) 87711) ((-1073 . -350) 87690) ((-591 . -154) 87672) ((-864 . -301) T) ((-126 . -379) 87649) ((-126 . -336) 87626) ((-173 . -285) T) ((-857 . -365) T) ((-774 . -365) T) 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. -736) 86854) ((-853 . -1053) 86824) ((-812 . -43) 86761) ((-683 . -879) 86743) ((-683 . -881) 86725) ((-289 . -303) 86529) ((-905 . -1199) T) ((-857 . -1102) T) ((-853 . -120) 86494) ((-662 . -413) 86478) ((-774 . -1102) T) ((-683 . -1037) 86423) ((-1141 . -283) 86400) ((-1004 . -453) T) ((-905 . -558) T) ((-581 . -916) T) ((-479 . -1102) T) ((-526 . -916) T) ((-910 . -453) T) ((-216 . -608) 86382) ((-144 . -608) 86364) ((-70 . -608) 86346) ((-857 . -23) T) ((-623 . -221) 86292) ((-774 . -23) T) ((-479 . -23) T) ((-1108 . -789) T) ((-866 . -137) T) ((-1108 . -786) T) ((-1257 . -1259) 86271) ((-1108 . -716) T) ((-644 . -637) 86245) ((-288 . -608) 85986) ((-1035 . -39) T) ((-810 . -840) 85965) ((-580 . -301) T) ((-568 . -301) T) ((-504 . -301) T) ((-1266 . -707) 85935) ((-683 . -379) 85917) ((-683 . -336) 85899) ((-489 . -172) T) ((-383 . -707) 85869) ((-734 . -1136) 85847) ((-865 . -842) NIL) ((-568 . -1021) T) ((-504 . -1021) T) ((-1121 . -608) 85829) ((-1103 . -230) 85808) ((-205 . 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. -1056) T) ((-489 . -637) 56820) ((-473 . -1090) T) ((-50 . -601) 56745) ((-1143 . -283) 56720) ((-1155 . -137) T) ((-45 . -630) 56654) ((-53 . -365) T) ((-1096 . -608) 56636) ((-1078 . -842) 56615) ((-623 . -283) 56590) ((-953 . -303) 56577) ((-777 . -842) 56556) ((-775 . -842) 56535) ((-455 . -842) 56514) ((-493 . -608) 56272) ((-232 . -413) 56241) ((-216 . -1195) T) ((-144 . -1195) T) ((-218 . -154) 56223) ((-145 . -154) 56198) ((-70 . -1195) T) ((-734 . -281) 56125) ((-615 . -137) T) ((-492 . -303) 56112) ((-1059 . -523) 55920) ((-284 . -1047) T) ((-126 . -137) T) ((-454 . -753) T) ((-964 . -172) 55871) ((-1150 . -1090) T) ((-1103 . -283) 55848) ((-1073 . -1053) 55758) ((-613 . -789) 55737) ((-591 . -1090) T) ((-613 . -786) 55716) ((-613 . -716) T) ((-289 . -281) 55695) ((-288 . -1195) T) ((-1051 . -608) 55657) ((-1051 . -609) 55618) ((-1023 . -1102) T) ((-169 . -105) T) ((-271 . -842) T) ((-1092 . -221) 55602) ((-813 . -608) 55584) ((-1073 . -120) 55473) ((-1003 . -301) T) ((-857 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\ No newline at end of file
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T) ((-311 . -280) 143030) ((-112 . -366) T) ((-75 . -1197) T) ((-1210 . -337) 142982) ((-866 . -638) 142927) ((-1210 . -380) 142879) ((-966 . -138) 142734) ((-811 . -138) 142604) ((-959 . -641) 142588) ((-1079 . -173) 142499) ((-1059 . -790) T) ((-959 . -376) 142483) ((-1059 . -787) T) ((-118 . -117) T) ((-775 . -284) 142428) ((-778 . -173) 142319) ((-776 . -173) 142230) ((-812 . -52) 142192) ((-1059 . -717) T) ((-326 . -500) 142176) ((-954 . -717) T) ((-456 . -173) 142087) ((-241 . -282) 142064) ((-493 . -717) T) ((-1258 . -304) 142002) ((-1242 . -43) 141899) ((-1238 . -896) 141812) ((-1231 . -896) 141718) ((-1230 . -1054) 141553) ((-1210 . -896) 141386) ((-1209 . -1054) 141194) ((-1204 . -896) 141107) ((-1198 . -105) T) ((-1192 . -286) 141086) ((-1132 . -155) 141070) ((-1069 . -105) T) ((-928 . -956) T) ((-728 . -304) 141008) ((-80 . -1197) T) ((-170 . -905) 140961) ((-34 . -105) T) ((-657 . -385) 140933) ((-30 . -956) T) ((-1 . -609) 140915) ((-1109 . -105) T) ((-1074 . -23) T) 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-284) 138068) ((-1104 . -1103) 137978) ((-88 . -1197) T) ((-66 . -609) 137960) ((-491 . -284) 137939) ((-1260 . -1038) 137916) ((-1151 . -1091) T) ((-1104 . -23) 137786) ((-812 . -896) 137722) ((-1219 . -717) T) ((-1093 . -1197) T) ((-1079 . -286) 137653) ((-889 . -105) T) ((-778 . -286) 137564) ((-326 . -19) 137548) ((-64 . -284) 137525) ((-776 . -286) 137456) ((-848 . -717) T) ((-126 . -841) NIL) ((-526 . -284) 137433) ((-326 . -602) 137410) ((-506 . -284) 137387) ((-456 . -286) 137318) ((-1036 . -304) 137169) ((-576 . -717) T) ((-653 . -609) 137151) ((-241 . -610) 137112) ((-241 . -609) 137051) ((-1133 . -39) T) ((-945 . -1197) T) ((-342 . -708) 136996) ((-858 . -1048) T) ((-775 . -1048) T) ((-663 . -25) T) ((-663 . -21) T) ((-1109 . -1137) T) ((-480 . -1048) T) ((-627 . -420) 136961) ((-603 . -420) 136926) ((-923 . -1091) T) ((-858 . -226) T) ((-858 . -239) T) ((-775 . -226) 136885) ((-775 . -239) T) ((-582 . -286) T) ((-527 . -286) T) ((-1231 . -302) 136864) ((-480 . -226) 136816) ((-480 . -239) 136795) ((-1210 . -302) 136774) ((-1074 . -138) T) ((-867 . -791) 136753) ((-148 . -105) T) ((-45 . -1091) T) ((-867 . -788) 136732) ((-635 . -1011) 136716) ((-581 . -1055) T) ((-569 . -1055) T) ((-505 . -1055) T) ((-410 . -454) T) ((-362 . -138) T) ((-311 . -403) 136700) ((-308 . -403) 136661) ((-355 . -138) T) ((-344 . -138) T) ((-1210 . -1022) NIL) ((-1085 . -609) 136628) ((-112 . -138) T) ((-1109 . -43) 136615) ((-918 . -1091) T) ((-764 . -1091) T) ((-664 . -1091) T) ((-691 . -151) T) ((-1157 . -414) 136599) ((-125 . -151) T) ((-1267 . -21) T) ((-1267 . -25) T) ((-1265 . -21) T) ((-1265 . -25) T) ((-657 . -1054) 136583) ((-535 . -843) T) ((-510 . -843) T) ((-357 . -1054) 136535) ((-354 . -1054) 136487) ((-343 . -1054) 136439) ((-245 . -1197) T) ((-244 . -1197) T) ((-258 . -1054) 136282) ((-243 . -1054) 136125) ((-657 . -120) 136104) ((-357 . -120) 136035) ((-354 . -120) 135966) ((-343 . -120) 135897) ((-258 . -120) 135719) ((-243 . -120) 135541) ((-813 . -1202) 135520) ((-616 . -414) 135504) ((-49 . -21) T) ((-49 . -25) T) ((-811 . -631) 135410) ((-813 . -559) 135389) ((-245 . -1038) 135216) ((-244 . -1038) 135043) ((-136 . -128) 135027) ((-906 . -1054) 134992) ((-689 . -1055) T) ((-703 . -105) T) ((-219 . -641) 134974) ((-146 . -641) 134949) ((-342 . -173) T) ((-219 . -376) 134931) ((-146 . -376) 134906) ((-156 . -21) T) ((-156 . -25) T) ((-93 . -609) 134888) ((-906 . -120) 134837) ((-45 . -708) 134782) ((-865 . -1091) T) ((-326 . -610) 134743) ((-326 . -609) 134682) ((-1209 . -788) 134635) ((-1157 . -1055) T) ((-1209 . -791) 134588) ((-245 . -380) 134557) ((-244 . -380) 134526) ((-861 . -609) 134508) ((-856 . -609) 134490) ((-645 . -43) 134460) ((-604 . -39) T) ((-494 . -1103) 134370) ((-481 . -39) T) ((-1104 . -138) 134240) ((-1165 . -559) 134219) ((-966 . -25) 134030) ((-870 . -609) 134012) ((-966 . -21) 133967) ((-811 . -21) 133877) ((-811 . -25) 133728) ((-1159 . -52) 133705) ((-616 . -1055) T) ((-1114 . -52) 133677) ((-465 . -1091) T) ((-357 . -1048) T) ((-354 . -1048) T) ((-494 . -23) 133547) ((-343 . -1048) T) ((-258 . -1048) T) ((-243 . -1048) T) ((-1035 . -638) 133521) ((-126 . -1055) T) ((-959 . -39) T) ((-735 . -1202) 133500) ((-357 . -226) 133479) ((-357 . -239) T) ((-354 . -226) 133458) ((-354 . -239) T) ((-343 . -226) 133437) ((-243 . -325) 133394) ((-343 . -239) T) ((-258 . -325) 133366) ((-258 . -226) 133345) ((-1143 . -155) 133329) ((-735 . -559) 133240) ((-245 . -896) 133172) ((-244 . -896) 133104) ((-1076 . -843) T) ((-1213 . -1197) T) ((-417 . -1103) T) ((-1052 . -23) T) ((-906 . -1048) T) ((-320 . -638) 133086) ((-1024 . -841) T) ((-1192 . -1003) 133052) ((-1160 . -917) 133031) ((-1153 . -917) 133010) ((-906 . -239) T) ((-813 . -366) 132989) ((-388 . -23) T) ((-137 . -1091) 132967) ((-131 . -1091) 132945) ((-906 . -226) T) ((-1153 . -816) NIL) ((-382 . -638) 132910) ((-865 . -708) 132897) ((-1045 . -155) 132862) ((-45 . -173) T) ((-684 . -414) 132844) ((-703 . -304) 132831) ((-830 . -638) 132791) ((-823 . -638) 132765) ((-315 . -25) T) ((-315 . -21) T) ((-649 . -282) 132744) ((-581 . -1091) T) ((-569 . -1091) T) ((-505 . -1091) T) ((-241 . -284) 132721) ((-308 . -224) 132682) ((-1159 . -882) NIL) ((-1114 . -882) 132541) ((-1159 . -1038) 132421) ((-1114 . -1038) 132304) ((-847 . -1038) 132200) ((-778 . -282) 132127) ((-924 . -609) 132109) ((-813 . -1103) T) ((-1035 . -717) T) ((-600 . -641) 132093) ((-1045 . -978) 132022) ((-1000 . -105) T) ((-813 . -23) T) ((-703 . -1137) 132000) ((-684 . -1055) T) ((-600 . -376) 131984) ((-353 . -454) T) ((-342 . -286) T) ((-1248 . -1091) T) ((-466 . -105) T) ((-402 . -105) T) ((-285 . -21) T) ((-285 . -25) T) ((-364 . -717) T) ((-701 . -1091) T) ((-689 . -1091) T) ((-364 . -479) T) ((-1192 . -609) 131966) ((-1159 . -380) 131950) ((-1114 . -380) 131934) ((-1024 . -414) 131896) ((-143 . -222) 131878) ((-382 . -790) T) ((-382 . -787) T) ((-865 . -173) T) ((-382 . -717) T) ((-702 . -609) 131860) ((-703 . -43) 131689) ((-1247 . -1245) 131673) ((-353 . -405) T) ((-1247 . -1091) 131623) ((-581 . -708) 131610) ((-569 . -708) 131597) ((-505 . -708) 131562) ((-858 . -1264) 131546) ((-311 . -621) 131525) ((-830 . -717) T) ((-823 . -717) T) ((-1157 . -1091) T) ((-635 . -1197) T) ((-1074 . -631) 131473) ((-1159 . -896) 131416) ((-1114 . -896) 131400) ((-653 . -1054) 131384) ((-112 . -631) 131366) ((-494 . -138) 131236) ((-775 . -641) 131188) ((-1165 . -1103) T) ((-858 . -371) T) ((-954 . -52) 131157) ((-735 . -1103) T) ((-616 . -1091) T) ((-653 . -120) 131136) ((-326 . -284) 131113) ((-493 . -52) 131070) ((-1165 . -23) T) ((-130 . -1091) T) ((-126 . -1091) T) ((-106 . -105) 131048) ((-735 . -23) T) ((-1257 . -1103) T) ((-1052 . -138) T) ((-1024 . -1055) T) ((-815 . -1038) 131032) ((-1004 . -715) 131004) ((-1257 . -23) T) ((-689 . -708) 130969) ((-586 . -609) 130951) ((-389 . -1038) 130935) ((-356 . -1055) T) ((-388 . -138) T) ((-322 . -1038) 130919) ((-216 . -882) 130901) ((-1005 . -917) T) ((-96 . -39) T) ((-1005 . -816) T) ((-911 . -917) T) ((-498 . -1202) T) ((-1178 . -609) 130883) ((-1096 . -1091) T) ((-209 . -1202) T) ((-1000 . -304) 130848) ((-216 . -1038) 130808) ((-45 . -286) T) ((-1074 . -21) T) ((-1074 . -25) T) ((-1109 . -824) T) ((-498 . -559) T) ((-362 . -25) T) ((-209 . -559) T) ((-362 . -21) T) ((-355 . -25) T) ((-355 . -21) T) ((-705 . -638) 130768) ((-344 . -25) T) ((-344 . -21) T) ((-112 . -25) T) ((-112 . -21) T) ((-53 . -1055) T) ((-1157 . -708) 130597) ((-581 . -173) T) ((-569 . -173) T) ((-505 . -173) T) ((-649 . -609) 130579) ((-728 . -727) 130563) ((-335 . -609) 130545) ((-237 . -609) 130527) ((-73 . -386) T) ((-73 . -398) T) ((-1093 . -111) 130511) ((-1059 . -882) 130493) ((-954 . -882) 130418) ((-644 . -1103) T) ((-616 . -708) 130405) ((-493 . -882) NIL) ((-1132 . -105) T) ((-1059 . -1038) 130387) ((-99 . -609) 130369) ((-490 . -151) T) ((-954 . -1038) 130249) ((-126 . -708) 130194) ((-644 . -23) T) ((-493 . -1038) 130070) ((-1079 . -610) NIL) ((-1079 . -609) 130052) ((-778 . -610) NIL) 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-524) 128437) ((-498 . -366) T) ((-357 . -371) 128416) ((-354 . -371) 128395) ((-343 . -371) 128374) ((-209 . -366) T) ((-705 . -717) T) ((-125 . -454) T) ((-1157 . -173) 128265) ((-1268 . -1259) 128249) ((-866 . -880) 128226) ((-866 . -882) NIL) ((-966 . -843) 128125) ((-811 . -843) 128076) ((-645 . -647) 128060) ((-1184 . -39) T) ((-172 . -609) 128042) ((-1104 . -21) 127952) ((-1104 . -25) 127803) ((-969 . -1091) T) ((-866 . -1038) 127780) ((-954 . -896) 127761) ((-1219 . -52) 127738) ((-906 . -371) T) ((-64 . -641) 127722) ((-526 . -641) 127706) ((-493 . -896) 127683) ((-76 . -443) T) ((-76 . -398) T) ((-506 . -641) 127667) ((-64 . -376) 127651) ((-616 . -173) T) ((-526 . -376) 127635) ((-506 . -376) 127619) ((-823 . -699) 127603) ((-1159 . -302) 127582) ((-1165 . -138) T) ((-126 . -173) T) ((-735 . -138) T) ((-1132 . -304) 127520) ((-170 . -1197) T) ((-627 . -737) 127504) ((-603 . -737) 127488) ((-1257 . -138) T) ((-1231 . -917) 127467) ((-1210 . -917) 127446) ((-1210 . -816) NIL) 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-1091) T) ((-170 . -380) 126377) ((-170 . -337) 126361) ((-1219 . -1038) 126241) ((-848 . -1038) 126137) ((-1128 . -105) T) ((-644 . -138) T) ((-126 . -524) 126000) ((-653 . -788) 125979) ((-653 . -791) 125958) ((-576 . -1038) 125940) ((-289 . -1254) 125910) ((-854 . -105) T) ((-965 . -559) 125889) ((-1192 . -1054) 125772) ((-494 . -631) 125678) ((-900 . -1091) T) ((-1024 . -708) 125615) ((-702 . -1054) 125580) ((-858 . -638) 125532) ((-775 . -638) 125484) ((-600 . -39) T) ((-1133 . -1197) T) ((-1192 . -120) 125346) ((-480 . -638) 125243) ((-356 . -708) 125188) ((-170 . -896) 125147) ((-689 . -286) T) ((-734 . -1055) T) ((-684 . -173) T) ((-702 . -120) 125096) ((-1273 . -1055) T) ((-1219 . -380) 125080) ((-421 . -1202) 125058) ((-308 . -841) NIL) ((-421 . -559) T) ((-216 . -302) T) ((-1209 . -787) 125011) ((-1209 . -790) 124964) ((-33 . -1089) T) ((-1230 . -717) T) ((-1209 . -717) T) ((-53 . -708) 124929) ((-1157 . -286) 124840) ((-216 . -1022) T) ((-353 . -1254) 124817) ((-1232 . -414) 124783) ((-709 . -717) T) ((-1219 . -896) 124726) ((-121 . -609) 124708) ((-121 . -610) 124690) ((-709 . -479) T) ((-494 . -21) 124600) ((-137 . -500) 124584) ((-131 . -500) 124568) ((-494 . -25) 124419) ((-616 . -286) T) ((-775 . -39) T) ((-586 . -1054) 124394) ((-440 . -1091) T) ((-1059 . -302) T) ((-126 . -286) T) ((-1095 . -105) T) ((-1004 . -105) T) ((-586 . -120) 124355) ((-1242 . -1055) T) ((-1128 . -304) 124293) ((-1192 . -1048) T) ((-1059 . -1022) T) ((-71 . -1197) T) ((-1052 . -25) T) ((-1052 . -21) T) ((-702 . -1048) T) ((-388 . -21) T) ((-388 . -25) T) ((-684 . -524) NIL) ((-1024 . -173) T) ((-702 . -239) T) ((-1059 . -551) T) ((-858 . -717) T) ((-775 . -717) T) ((-512 . -105) T) ((-356 . -173) T) ((-342 . -609) 124275) ((-397 . -609) 124257) ((-480 . -717) T) ((-1109 . -841) T) ((-888 . -1038) 124225) ((-112 . -843) T) ((-649 . -1054) 124209) ((-498 . -138) T) ((-1232 . -1055) T) ((-209 . -138) T) ((-237 . -1054) 124191) ((-1143 . -105) 124169) ((-101 . -1091) T) 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-454) T) ((-861 . -1264) 121173) ((-856 . -1264) 121133) ((-1127 . -39) T) ((-778 . -1048) T) ((-776 . -1048) T) ((-637 . -228) 121117) ((-624 . -228) 121063) ((-1219 . -302) 121042) ((-1079 . -325) 121003) ((-456 . -1048) T) ((-1165 . -21) T) ((-1079 . -226) 120982) ((-778 . -325) 120959) ((-778 . -226) T) ((-776 . -325) 120931) ((-326 . -641) 120915) ((-722 . -1202) 120894) ((-1165 . -25) T) ((-64 . -39) T) ((-528 . -39) T) ((-526 . -39) T) ((-456 . -325) 120873) ((-326 . -376) 120857) ((-507 . -39) T) ((-506 . -39) T) ((-1004 . -1137) NIL) ((-627 . -105) T) ((-603 . -105) T) ((-722 . -559) 120788) ((-357 . -717) T) ((-354 . -717) T) ((-343 . -717) T) ((-258 . -717) T) ((-243 . -717) T) ((-735 . -25) T) ((-735 . -21) T) ((-1045 . -304) 120696) ((-1257 . -21) T) ((-1257 . -25) T) ((-897 . -1091) 120674) ((-55 . -1048) T) ((-1242 . -1091) T) ((-1161 . -559) 120653) ((-1160 . -1202) 120632) ((-1160 . -559) 120583) ((-1153 . -1202) 120562) ((-582 . -1048) T) ((-527 . -1048) T) ((-514 . 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. -609) 118411) ((-34 . -1091) T) ((-311 . -708) 118321) ((-308 . -708) 118250) ((-689 . -609) 118232) ((-689 . -610) 118177) ((-410 . -403) 118161) ((-441 . -1091) T) ((-498 . -25) T) ((-498 . -21) T) ((-1109 . -1091) T) ((-209 . -25) T) ((-209 . -21) T) ((-703 . -414) 118145) ((-705 . -1038) 118114) ((-1247 . -609) 118053) ((-1247 . -610) 118014) ((-1232 . -173) T) ((-241 . -39) T) ((-1157 . -610) NIL) ((-1157 . -609) 117996) ((-927 . -976) T) ((-1184 . -1197) T) ((-653 . -787) 117975) ((-653 . -790) 117954) ((-401 . -398) T) ((-532 . -105) 117932) ((-1036 . -1091) T) ((-213 . -996) 117916) ((-515 . -105) T) ((-616 . -609) 117898) ((-50 . -843) NIL) ((-616 . -610) 117875) ((-1036 . -606) 117850) ((-897 . -524) 117783) ((-342 . -1048) T) ((-130 . -609) 117765) ((-126 . -610) NIL) ((-126 . -609) 117747) ((-867 . -1197) T) ((-663 . -420) 117731) ((-663 . -1112) 117676) ((-260 . -524) 117609) ((-510 . -155) 117591) ((-342 . -226) T) ((-342 . -239) T) ((-45 . -1054) 117536) ((-867 . -880) 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116334) ((-233 . -1103) 116244) ((-867 . -380) 116228) ((-867 . -337) 116212) ((-233 . -23) 116082) ((-1059 . -917) T) ((-1059 . -816) T) ((-582 . -371) T) ((-527 . -371) T) ((-735 . -843) 116061) ((-353 . -1137) T) ((-326 . -39) T) ((-49 . -420) 116045) ((-393 . -737) 116029) ((-1258 . -524) 115962) ((-722 . -138) T) ((-1242 . -286) 115941) ((-1238 . -559) 115920) ((-1231 . -1202) 115899) ((-1231 . -559) 115850) ((-1210 . -1202) 115829) ((-1210 . -559) 115780) ((-728 . -524) 115713) ((-1209 . -1197) 115692) ((-1209 . -882) 115565) ((-889 . -1091) T) ((-148 . -837) T) ((-1209 . -880) 115535) ((-1204 . -559) 115514) ((-1161 . -138) T) ((-532 . -304) 115452) ((-1160 . -138) T) ((-143 . -524) NIL) ((-1153 . -138) T) ((-1115 . -138) T) ((-1024 . -1003) T) ((-1005 . -23) T) ((-353 . -43) 115417) ((-1005 . -1103) T) ((-911 . -1103) T) ((-87 . -609) 115399) ((-45 . -1048) T) ((-865 . -1054) 115386) ((-867 . -896) 115345) ((-775 . -52) 115322) ((-691 . -105) T) ((-1004 . -351) NIL) ((-600 . 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-788) T) ((-764 . -791) T) ((-691 . -43) 111892) ((-237 . -638) 111874) ((-569 . -226) T) ((-505 . -239) T) ((-505 . -226) T) ((-1157 . -120) 111676) ((-1136 . -228) 111626) ((-1079 . -905) 111605) ((-125 . -43) 111592) ((-202 . -796) T) ((-201 . -796) T) ((-200 . -796) T) ((-199 . -796) T) ((-867 . -1022) 111570) ((-1258 . -500) 111554) ((-778 . -905) 111533) ((-776 . -905) 111512) ((-1171 . -1197) T) ((-456 . -905) 111491) ((-728 . -500) 111475) ((-1079 . -638) 111400) ((-778 . -638) 111325) ((-616 . -1054) 111312) ((-491 . -1197) T) ((-342 . -371) T) ((-143 . -500) 111294) ((-776 . -638) 111219) ((-1127 . -1197) T) ((-464 . -638) 111190) ((-258 . -882) 111049) ((-243 . -882) NIL) ((-126 . -1054) 110994) ((-456 . -638) 110919) ((-657 . -1038) 110896) ((-616 . -120) 110881) ((-357 . -1038) 110865) ((-354 . -1038) 110849) ((-343 . -1038) 110833) ((-258 . -1038) 110677) ((-243 . -1038) 110553) ((-126 . -120) 110470) ((-64 . -1197) T) ((-528 . -1197) T) ((-526 . -1197) T) ((-507 . -1197) T) ((-506 . -1197) T) ((-440 . -609) 110452) ((-437 . -609) 110434) ((-3 . -105) T) ((-1028 . -1191) 110403) ((-829 . -105) T) ((-680 . -62) 110361) ((-689 . -1048) T) ((-55 . -638) 110335) ((-285 . -454) T) ((-482 . -1191) 110304) ((-1242 . -282) 110289) ((0 . -105) T) ((-582 . -638) 110254) ((-527 . -638) 110199) ((-54 . -105) T) ((-906 . -1038) 110186) ((-689 . -239) T) ((-1074 . -412) 110165) ((-722 . -631) 110113) ((-1000 . -1091) T) ((-703 . -173) 110004) ((-498 . -994) 109986) ((-466 . -1091) T) ((-258 . -380) 109970) ((-243 . -380) 109954) ((-402 . -1091) T) ((-1157 . -1048) T) ((-338 . -43) 109938) ((-1027 . -105) 109916) ((-209 . -994) 109898) ((-174 . -43) 109830) ((-1230 . -302) 109809) ((-1209 . -302) 109788) ((-1157 . -325) 109765) ((-649 . -717) T) ((-1157 . -226) T) ((-101 . -609) 109747) ((-1153 . -631) 109699) ((-496 . -25) T) ((-496 . -21) T) ((-1209 . -1022) 109651) ((-616 . -1048) T) ((-382 . -407) T) ((-393 . -105) T) ((-258 . -896) 109597) ((-243 . -896) 109574) 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-138) T) ((-594 . -138) T) ((-362 . -454) T) ((-355 . -454) T) ((-344 . -454) T) ((-480 . -302) 108958) ((-308 . -282) 108824) ((-112 . -454) T) ((-84 . -443) T) ((-84 . -398) T) ((-490 . -105) T) ((-734 . -610) 108685) ((-734 . -609) 108667) ((-1273 . -609) 108649) ((-1273 . -610) 108631) ((-1074 . -405) 108610) ((-1036 . -500) 108542) ((-569 . -791) T) ((-569 . -788) T) ((-1060 . -228) 108488) ((-362 . -405) 108439) ((-355 . -405) 108390) ((-344 . -405) 108341) ((-1260 . -1103) T) ((-1260 . -23) T) ((-1249 . -105) T) ((-1128 . -1055) T) ((-663 . -737) 108325) ((-1165 . -149) 108304) ((-1165 . -151) 108283) ((-1132 . -1091) T) ((-1132 . -1067) 108252) ((-74 . -1197) T) ((-1024 . -1054) 108189) ((-854 . -1055) T) ((-735 . -149) 108168) ((-735 . -151) 108147) ((-233 . -631) 108053) ((-684 . -1048) T) ((-234 . -559) 108032) ((-356 . -1054) 107977) ((-66 . -1197) T) ((-1024 . -120) 107886) ((-897 . -609) 107853) ((-684 . -239) T) ((-684 . -226) NIL) ((-836 . -841) 107832) ((-689 . -791) T) ((-689 . -788) T) ((-1242 . -609) 107814) ((-1198 . -282) 107789) ((-1004 . -414) 107766) ((-356 . -120) 107683) ((-260 . -609) 107650) ((-382 . -917) T) ((-410 . -841) 107629) ((-703 . -286) 107540) ((-214 . -717) T) ((-1238 . -503) 107506) ((-1231 . -503) 107472) ((-1210 . -503) 107438) ((-1204 . -503) 107404) ((-311 . -1003) 107383) ((-213 . -1091) 107361) ((-315 . -975) 107323) ((-109 . -105) T) ((-53 . -1054) 107288) ((-1269 . -105) T) ((-384 . -105) T) ((-53 . -120) 107237) ((-1005 . -631) 107219) ((-1232 . -609) 107201) ((-535 . -105) T) ((-510 . -105) T) ((-1122 . -1123) 107185) ((-156 . -1254) 107169) ((-241 . -1197) T) ((-1198 . -19) 107151) ((-775 . -666) 107103) ((-1159 . -1202) 107082) ((-1114 . -1202) 107061) ((-233 . -21) 106971) ((-233 . -25) 106822) ((-137 . -128) 106806) ((-131 . -128) 106790) ((-49 . -737) 106774) ((-1198 . -602) 106749) ((-1159 . -559) 106660) ((-1114 . -559) 106591) ((-1036 . -282) 106566) ((-812 . -138) T) ((-126 . -791) NIL) ((-126 . -788) NIL) ((-357 . -302) T) ((-354 . -302) T) ((-343 . -302) T) ((-1085 . -1197) T) ((-245 . -1103) 106476) ((-244 . -1103) 106386) ((-1024 . -1048) T) ((-1004 . -1055) T) ((-342 . -638) 106331) ((-614 . -43) 106315) ((-1258 . -609) 106277) ((-1258 . -610) 106238) ((-1071 . -609) 106220) ((-1024 . -239) T) ((-356 . -1048) T) ((-811 . -1254) 106190) ((-245 . -23) T) ((-244 . -23) T) ((-989 . -609) 106172) ((-728 . -610) 106133) ((-728 . -609) 106115) ((-795 . -843) 106094) ((-1000 . -524) 106006) ((-356 . -226) T) ((-356 . -239) T) ((-1146 . -155) 105953) ((-1005 . -25) T) ((-143 . -609) 105935) ((-143 . -610) 105894) ((-906 . -302) T) ((-1005 . -21) T) ((-973 . -25) T) ((-911 . -21) T) ((-911 . -25) T) ((-430 . -21) T) ((-430 . -25) T) ((-836 . -414) 105878) ((-53 . -1048) T) ((-1267 . -1259) 105862) ((-1265 . -1259) 105846) ((-1036 . -602) 105821) ((-311 . -610) 105682) ((-311 . -609) 105664) ((-308 . -610) NIL) ((-308 . -609) 105646) ((-53 . -239) T) ((-53 . -226) T) ((-645 . -282) 105607) ((-552 . -228) 105557) ((-142 . -609) 105539) ((-123 . -609) 105521) ((-490 . -43) 105486) ((-1269 . -1266) 105465) ((-1260 . -138) T) ((-1268 . -1055) T) ((-1076 . -105) T) ((-118 . -609) 105447) ((-93 . -1197) T) ((-510 . -304) NIL) ((-1001 . -111) 105431) ((-885 . -1091) T) ((-881 . -1091) T) ((-1247 . -641) 105415) ((-1247 . -376) 105399) ((-326 . -1197) T) ((-592 . -843) T) ((-234 . -1103) T) ((-1128 . -1091) T) ((-1128 . -1051) 105339) ((-106 . -524) 105272) ((-928 . -609) 105254) ((-234 . -23) T) ((-342 . -717) T) ((-30 . -609) 105236) ((-854 . -1091) T) ((-836 . -1055) 105215) ((-45 . -638) 105160) ((-216 . -1202) T) ((-410 . -1055) T) ((-1145 . -155) 105142) ((-1000 . -286) 105093) ((-216 . -559) T) ((-1198 . -610) 105075) ((-315 . -1227) 105059) ((-315 . -1224) 105029) ((-1198 . -609) 105011) ((-1171 . -1174) 104990) ((-1069 . -609) 104972) ((-34 . -609) 104954) ((-861 . -1038) 104914) ((-856 . -1038) 104859) ((-637 . -155) 104843) ((-624 . -155) 104789) ((-1171 . -111) 104739) ((-491 . -1174) 104718) ((-498 . -151) T) ((-498 . -149) NIL) ((-1109 . -610) 104633) ((-441 . -609) 104615) ((-209 . -151) T) ((-209 . -149) NIL) ((-1109 . -609) 104597) ((-57 . -105) T) ((-1210 . -631) 104549) ((-491 . -111) 104499) ((-995 . -23) T) ((-1269 . -43) 104469) ((-1159 . -1103) T) ((-1114 . -1103) T) ((-1059 . -1202) T) ((-847 . -1103) T) ((-954 . -1202) 104448) ((-493 . -1202) 104427) ((-722 . -843) 104406) ((-1059 . -559) T) ((-954 . -559) 104337) ((-1159 . -23) T) ((-1114 . -23) T) ((-847 . -23) T) ((-493 . -559) 104268) ((-1128 . -708) 104200) ((-1132 . -524) 104133) ((-1036 . -610) NIL) ((-1036 . -609) 104115) ((-854 . -708) 104085) ((-1273 . -1054) 104072) ((-1273 . -120) 104057) ((-1192 . -52) 104026) ((-245 . -138) T) ((-244 . -138) T) ((-1095 . -1091) T) ((-1004 . -1091) T) ((-67 . -609) 104008) ((-1153 . -843) NIL) ((-1024 . -788) T) ((-1024 . -791) T) ((-1238 . -25) T) ((-734 . -1054) 103932) ((-1238 . -21) T) ((-1231 . -21) T) ((-865 . -638) 103919) ((-1231 . -25) T) ((-1210 . -21) T) ((-1210 . -25) T) ((-1204 . -25) T) ((-1204 . -21) T) ((-1028 . -155) 103903) ((-867 . -816) 103882) ((-867 . -917) T) ((-734 . -120) 103785) ((-703 . -282) 103712) ((-595 . -21) T) ((-595 . -25) T) ((-594 . -21) T) ((-45 . -717) T) ((-213 . -524) 103645) ((-594 . -25) T) ((-482 . -155) 103629) ((-469 . -155) 103613) ((-918 . -717) T) ((-764 . -789) T) ((-764 . -790) T) ((-512 . -1091) T) ((-764 . -717) T) ((-216 . -366) T) ((-1143 . -1091) 103591) ((-866 . -1202) T) ((-645 . -609) 103573) ((-866 . -559) T) ((-684 . -371) NIL) ((-362 . -1254) 103557) ((-663 . -105) T) ((-355 . -1254) 103541) ((-344 . -1254) 103525) ((-1268 . -1091) T) ((-529 . -843) 103504) ((-1242 . -1054) 103387) ((-813 . -454) 103366) ((-1045 . -1091) T) ((-1045 . -1067) 103295) ((-1028 . -978) 103264) ((-815 . -1103) T) ((-1004 . -708) 103209) ((-1242 . -120) 103071) ((-234 . -138) T) ((-389 . -1103) T) ((-482 . -978) 103040) ((-469 . -978) 103009) ((-922 . -1089) T) 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-52) 101803) ((-1198 . -284) 101778) ((-1159 . -138) T) ((-356 . -371) T) ((-493 . -1103) T) ((-1114 . -138) T) ((-1059 . -23) T) ((-456 . -52) 101757) ((-866 . -366) T) ((-847 . -138) T) ((-156 . -105) T) ((-735 . -454) 101688) ((-954 . -23) T) ((-576 . -559) T) ((-812 . -25) T) ((-812 . -21) T) ((-1128 . -524) 101621) ((-586 . -1038) 101605) ((-493 . -23) T) ((-353 . -1055) T) ((-1242 . -1048) T) ((-1192 . -896) 101586) ((-663 . -304) 101524) ((-1242 . -226) 101483) ((-1104 . -1254) 101453) ((-689 . -638) 101418) ((-1005 . -843) T) ((-1004 . -173) T) ((-965 . -149) 101397) ((-627 . -1091) T) ((-603 . -1091) T) ((-965 . -151) 101376) ((-858 . -917) T) ((-726 . -151) 101355) ((-726 . -149) 101334) ((-973 . -843) T) ((-775 . -917) T) ((-480 . -917) 101313) ((-311 . -1054) 101223) ((-308 . -1054) 101152) ((-1000 . -282) 101110) ((-1157 . -905) 101089) ((-410 . -708) 101041) ((-691 . -841) T) ((-539 . -1089) T) ((-514 . -1091) T) ((-1232 . -1048) T) ((-311 . -120) 100930) ((-308 . -120) 100815) ((-1232 . -325) 100759) ((-1157 . -638) 100684) ((-966 . -105) T) ((-811 . -105) 100474) ((-703 . -610) NIL) ((-703 . -609) 100456) ((-1036 . -284) 100431) ((-649 . -1038) 100327) ((-861 . -302) T) ((-581 . -717) T) ((-569 . -790) T) ((-569 . -787) T) ((-170 . -366) 100278) ((-569 . -717) T) ((-505 . -717) T) ((-237 . -1038) 100262) ((-856 . -302) T) ((-1132 . -500) 100246) ((-1079 . -882) NIL) ((-866 . -1103) T) ((-126 . -905) NIL) ((-1267 . -1266) 100222) ((-1265 . -1266) 100201) ((-778 . -882) NIL) ((-776 . -882) 100060) ((-1260 . -25) T) ((-1260 . -21) T) ((-1195 . -105) 100038) ((-1097 . -398) T) ((-616 . -638) 100025) ((-456 . -882) NIL) ((-667 . -105) 100003) ((-1079 . -1038) 99830) ((-866 . -23) T) ((-778 . -1038) 99689) ((-776 . -1038) 99546) ((-126 . -638) 99491) ((-456 . -1038) 99367) ((-639 . -1038) 99351) ((-619 . -105) T) ((-213 . -500) 99335) ((-1247 . -39) T) ((-627 . -708) 99319) ((-603 . -708) 99303) ((-663 . -43) 99263) ((-315 . -105) T) ((-217 . -1091) T) 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((-576 . -1103) T) ((-848 . -23) T) ((-616 . -717) T) ((-357 . -917) T) ((-354 . -917) T) ((-285 . -105) T) ((-343 . -917) T) ((-1059 . -138) T) ((-954 . -138) T) ((-126 . -790) NIL) ((-126 . -787) NIL) ((-126 . -717) T) ((-684 . -905) NIL) ((-1045 . -524) 97916) ((-493 . -138) T) ((-576 . -23) T) ((-667 . -304) 97854) ((-627 . -754) T) ((-603 . -754) T) ((-1210 . -843) NIL) ((-1004 . -286) T) ((-245 . -21) T) ((-684 . -638) 97804) ((-353 . -1091) T) ((-245 . -25) T) ((-244 . -21) T) ((-244 . -25) T) ((-156 . -43) 97788) ((-2 . -105) T) ((-906 . -917) T) ((-494 . -1254) 97758) ((-214 . -1038) 97735) ((-1109 . -1048) T) ((-702 . -302) T) ((-289 . -708) 97677) ((-691 . -1055) T) ((-498 . -454) T) ((-410 . -524) 97589) ((-209 . -454) T) ((-1109 . -226) T) ((-290 . -155) 97539) ((-1000 . -610) 97500) ((-1000 . -609) 97482) ((-991 . -609) 97464) ((-125 . -1055) T) ((-645 . -1054) 97448) ((-216 . -503) T) ((-466 . -609) 97430) ((-402 . -609) 97412) ((-402 . -610) 97389) ((-1052 . -1254) 97359) ((-645 . -120) 97338) ((-1128 . -500) 97322) ((-811 . -43) 97292) ((-68 . -443) T) ((-68 . -398) T) ((-1146 . -105) T) ((-866 . -138) T) ((-495 . -105) 97270) ((-1273 . -371) T) ((-735 . -951) 97239) ((-1074 . -105) T) ((-1058 . -105) T) ((-353 . -708) 97184) ((-722 . -151) 97163) ((-722 . -149) 97142) ((-1024 . -638) 97079) ((-532 . -1091) 97057) ((-362 . -105) T) ((-355 . -105) T) ((-344 . -105) T) ((-234 . -21) T) ((-234 . -25) T) ((-112 . -105) T) ((-515 . -1091) T) ((-356 . -638) 97002) ((-1159 . -631) 96950) ((-1114 . -631) 96898) ((-388 . -519) 96877) ((-829 . -841) 96856) ((-382 . -1202) T) ((-684 . -717) T) ((-338 . -1055) T) ((-1210 . -994) 96808) ((-174 . -1055) T) ((-106 . -609) 96775) ((-1161 . -149) 96754) ((-1161 . -151) 96733) ((-382 . -559) T) ((-1160 . -151) 96712) ((-1160 . -149) 96691) ((-1153 . -149) 96598) ((-410 . -286) T) ((-1153 . -151) 96505) ((-1115 . -151) 96484) ((-1115 . -149) 96463) ((-315 . -43) 96304) ((-170 . -138) T) ((-308 . -791) NIL) ((-308 . -788) NIL) ((-645 . -1048) T) ((-53 . -638) 96269) ((-995 . -21) T) ((-137 . -1011) 96253) ((-131 . -1011) 96237) ((-995 . -25) T) ((-897 . -128) 96221) ((-1145 . -105) T) ((-812 . -843) 96200) ((-1219 . -138) T) ((-1159 . -25) T) ((-1159 . -21) T) ((-848 . -138) T) ((-1114 . -25) T) ((-1114 . -21) T) ((-847 . -25) T) ((-847 . -21) T) ((-778 . -302) 96179) ((-35 . -37) 96163) ((-1146 . -304) 95958) ((-1143 . -500) 95942) ((-637 . -105) 95920) ((-624 . -105) T) ((-1136 . -155) 95870) ((-576 . -138) T) ((-614 . -841) 95849) ((-1132 . -609) 95811) ((-1132 . -610) 95772) ((-1024 . -787) T) ((-1024 . -790) T) ((-1024 . -717) T) ((-495 . -304) 95710) ((-455 . -420) 95680) ((-353 . -173) T) ((-217 . -524) NIL) ((-145 . -524) NIL) ((-285 . -43) 95667) ((-271 . -105) T) ((-270 . -105) T) ((-269 . -105) T) ((-268 . -105) T) ((-267 . -105) T) ((-266 . -105) T) ((-265 . -105) T) ((-342 . -1038) 95644) ((-205 . -105) T) ((-204 . -105) T) ((-202 . -105) T) ((-201 . -105) T) ((-200 . -105) T) 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. -1186) 94606) ((-1160 . -98) 94572) ((-1035 . -23) T) ((-1160 . -40) 94538) ((-576 . -503) T) ((-1153 . -1183) 94504) ((-1153 . -1186) 94470) ((-1153 . -98) 94436) ((-1153 . -40) 94402) ((-364 . -1103) T) ((-362 . -1137) 94381) ((-355 . -1137) 94360) ((-344 . -1137) 94339) ((-1115 . -40) 94305) ((-1115 . -98) 94271) ((-1115 . -1186) 94237) ((-112 . -1137) T) ((-1115 . -1183) 94203) ((-829 . -1055) 94182) ((-637 . -304) 94120) ((-624 . -304) 93971) ((-1074 . -43) 93839) ((-703 . -1048) T) ((-1059 . -631) 93821) ((-1005 . -151) T) ((-954 . -631) 93769) ((-501 . -1091) T) ((-1005 . -149) NIL) ((-382 . -1103) T) ((-322 . -25) T) ((-320 . -23) T) ((-945 . -843) 93748) ((-703 . -325) 93725) ((-493 . -631) 93673) ((-45 . -1038) 93548) ((-691 . -708) 93535) ((-703 . -226) T) ((-338 . -1091) T) ((-174 . -1091) T) ((-330 . -843) T) ((-421 . -454) 93485) ((-382 . -23) T) ((-362 . -43) 93450) ((-355 . -43) 93415) ((-344 . -43) 93380) ((-85 . -443) T) ((-85 . -398) T) ((-216 . -25) T) ((-216 . 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87980) ((-1210 . -98) 87946) ((-1210 . -40) 87912) ((-627 . -609) 87881) ((-603 . -609) 87850) ((-33 . -105) T) ((-216 . -843) T) ((-1209 . -1103) T) ((-1204 . -40) 87816) ((-1204 . -98) 87782) ((-1109 . -638) 87769) ((-1157 . -896) 87712) ((-1074 . -351) 87691) ((-592 . -155) 87673) ((-865 . -302) T) ((-126 . -380) 87650) ((-126 . -337) 87627) ((-174 . -286) T) ((-858 . -366) T) ((-775 . -366) T) ((-308 . -790) NIL) ((-308 . -787) NIL) ((-311 . -717) 87476) ((-308 . -717) T) ((-514 . -609) 87458) ((-480 . -366) 87437) ((-362 . -351) 87416) ((-355 . -351) 87395) ((-344 . -351) 87374) ((-311 . -479) 87353) ((-1230 . -23) T) ((-1209 . -23) T) ((-709 . -1103) T) ((-705 . -138) T) ((-644 . -105) T) ((-490 . -708) 87318) ((-50 . -278) 87268) ((-109 . -1091) T) ((-73 . -609) 87250) ((-853 . -105) T) ((-616 . -896) 87209) ((-1269 . -1091) T) ((-384 . -1091) T) ((-1198 . -39) T) ((-87 . -1197) T) ((-1059 . -843) T) ((-954 . -843) 87188) ((-126 . -896) NIL) ((-778 . -917) 87167) ((-704 . -843) T) ((-535 . -1091) T) ((-510 . -1091) T) ((-357 . -1202) T) ((-354 . -1202) T) ((-343 . -1202) T) ((-258 . -1202) 87146) ((-243 . -1202) 87125) ((-1104 . -224) 87094) ((-493 . -843) 87073) ((-1145 . -824) T) ((-1128 . -1054) 87057) ((-393 . -754) T) ((-735 . -304) 87044) ((-684 . -1197) T) ((-357 . -559) T) ((-354 . -559) T) ((-343 . -559) T) ((-258 . -559) 86975) ((-243 . -559) 86906) ((-1128 . -120) 86885) ((-455 . -737) 86855) ((-854 . -1054) 86825) ((-813 . -43) 86762) ((-684 . -880) 86744) ((-684 . -882) 86726) ((-290 . -304) 86530) ((-906 . -1202) T) ((-858 . -1103) T) ((-854 . -120) 86495) ((-663 . -414) 86479) ((-775 . -1103) T) ((-684 . -1038) 86424) ((-1143 . -284) 86401) ((-1005 . -454) T) ((-906 . -559) T) ((-582 . -917) T) ((-480 . -1103) T) ((-527 . -917) T) ((-911 . -454) T) ((-217 . -609) 86383) ((-145 . -609) 86365) ((-70 . -609) 86347) ((-858 . -23) T) ((-624 . -222) 86293) ((-775 . -23) T) ((-480 . -23) T) ((-1109 . -790) T) ((-867 . -138) T) ((-1109 . -787) T) 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83587) ((-663 . -1091) T) ((-663 . -1051) 83527) ((-1161 . -1237) 83511) ((-1161 . -1224) 83488) ((-498 . -1137) T) ((-1160 . -1229) 83449) ((-1160 . -1224) 83419) ((-1160 . -1227) 83403) ((-209 . -1137) T) ((-342 . -917) T) ((-814 . -263) 83387) ((-627 . -120) 83366) ((-603 . -120) 83345) ((-1153 . -1208) 83306) ((-836 . -1048) 83285) ((-1153 . -1224) 83262) ((-525 . -25) T) ((-505 . -297) T) ((-521 . -23) T) ((-520 . -25) T) ((-518 . -25) T) ((-517 . -23) T) ((-1153 . -1206) 83246) ((-410 . -1048) T) ((-315 . -1055) T) ((-684 . -302) T) ((-112 . -841) T) ((-410 . -239) T) ((-410 . -226) 83225) ((-703 . -717) T) ((-498 . -43) 83175) ((-209 . -43) 83125) ((-480 . -503) 83091) ((-1145 . -1130) T) ((-1092 . -105) T) ((-691 . -609) 83073) ((-691 . -610) 82988) ((-705 . -21) T) ((-705 . -25) T) ((-140 . -609) 82970) ((-125 . -609) 82952) ((-159 . -25) T) ((-1267 . -1091) T) ((-867 . -631) 82900) ((-1265 . -1091) T) ((-965 . -105) T) ((-726 . -105) T) ((-706 . -105) T) ((-455 . -105) T) 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78603) ((-722 . -105) T) ((-1027 . -609) 78570) ((-510 . -282) 78545) ((-311 . -380) 78514) ((-308 . -380) 78475) ((-308 . -337) 78436) ((-812 . -951) 78383) ((-653 . -138) T) ((-1219 . -149) 78362) ((-1219 . -151) 78341) ((-1198 . -1197) T) ((-1161 . -105) T) ((-1160 . -105) T) ((-1153 . -105) T) ((-1146 . -1091) T) ((-1115 . -105) T) ((-213 . -39) T) ((-285 . -708) 78328) ((-1146 . -606) 78304) ((-592 . -304) NIL) ((-1238 . -1237) 78288) ((-1238 . -1224) 78265) ((-495 . -1091) 78243) ((-1231 . -1229) 78204) ((-393 . -609) 78186) ((-520 . -843) T) ((-1136 . -222) 78136) ((-1231 . -1224) 78106) ((-1231 . -1227) 78090) ((-1210 . -1208) 78051) ((-1210 . -1224) 78028) ((-1210 . -1206) 78012) ((-1204 . -1237) 77996) ((-1204 . -1224) 77973) ((-614 . -609) 77955) ((-1161 . -280) 77921) ((-689 . -917) T) ((-1160 . -280) 77887) ((-1153 . -280) 77853) ((-1115 . -280) 77819) ((-1074 . -1091) T) ((-1058 . -1091) T) ((-53 . -297) T) ((-311 . -896) 77785) ((-308 . -896) NIL) ((-1058 . -1064) 77764) ((-1109 . -882) 77746) ((-795 . -43) 77730) ((-258 . -631) 77678) ((-243 . -631) 77626) ((-691 . -1054) 77613) ((-594 . -1224) 77590) ((-1109 . -1038) 77572) ((-315 . -173) 77503) ((-362 . -1091) T) ((-355 . -1091) T) ((-344 . -1091) T) ((-510 . -19) 77485) ((-1093 . -155) 77469) ((-734 . -302) 77448) ((-112 . -1091) T) ((-125 . -1054) 77435) ((-702 . -366) T) ((-510 . -602) 77410) ((-691 . -120) 77395) ((-439 . -105) T) ((-1157 . -917) 77374) ((-50 . -1135) 77324) ((-125 . -120) 77309) ((-219 . -843) T) ((-146 . -843) 77279) ((-627 . -711) T) ((-603 . -711) T) ((-811 . -524) 77212) ((-1036 . -1197) T) ((-945 . -155) 77196) ((-529 . -105) 77146) ((-1079 . -1202) 77125) ((-778 . -1202) 77104) ((-776 . -1202) 77083) ((-67 . -1197) T) ((-490 . -609) 77035) ((-490 . -610) 76957) ((-1159 . -454) 76888) ((-1145 . -1091) T) ((-1128 . -638) 76862) ((-1079 . -559) 76793) ((-494 . -414) 76762) ((-616 . -917) 76741) ((-456 . -1202) 76720) ((-1114 . -454) 76671) ((-778 . -559) 76582) ((-401 . -609) 76564) ((-776 . -559) 76495) ((-667 . -524) 76428) ((-722 . -304) 76415) ((-657 . -25) T) ((-657 . -21) T) ((-456 . -559) 76346) ((-126 . -917) T) ((-126 . -816) NIL) ((-357 . -25) T) ((-357 . -21) T) ((-354 . -25) T) ((-354 . -21) T) ((-343 . -25) T) ((-343 . -21) T) ((-258 . -25) T) ((-258 . -21) T) ((-88 . -387) T) ((-88 . -398) T) ((-243 . -25) T) ((-243 . -21) T) ((-1249 . -609) 76328) ((-1192 . -1103) T) ((-1192 . -23) T) ((-1153 . -304) 76213) ((-1115 . -304) 76200) ((-1074 . -708) 76068) ((-854 . -638) 76028) ((-945 . -982) 76012) ((-906 . -21) T) ((-285 . -173) T) ((-906 . -25) T) ((-867 . -843) 75963) ((-861 . -138) T) ((-702 . -1103) T) ((-702 . -23) T) ((-637 . -1091) 75941) ((-624 . -606) 75916) ((-624 . -1091) T) ((-582 . -1202) T) ((-527 . -1202) T) ((-582 . -559) T) ((-527 . -559) T) ((-362 . -708) 75868) ((-355 . -708) 75820) ((-344 . -708) 75772) ((-338 . -1054) 75756) ((-174 . -120) 75655) ((-174 . -1054) 75587) ((-112 . -708) 75537) ((-338 . -120) 75516) ((-271 . -1091) T) ((-270 . -1091) T) ((-269 . -1091) T) ((-268 . -1091) T) ((-691 . -1048) T) ((-267 . -1091) T) ((-266 . -1091) T) ((-265 . -1091) T) ((-205 . -1091) T) ((-204 . -1091) T) ((-202 . -1091) T) ((-170 . -1186) 75494) ((-170 . -1183) 75472) ((-201 . -1091) T) ((-200 . -1091) T) ((-125 . -1048) T) ((-199 . -1091) T) ((-196 . -1091) T) ((-691 . -226) T) ((-195 . -1091) T) ((-194 . -1091) T) ((-193 . -1091) T) ((-192 . -1091) T) ((-191 . -1091) T) ((-190 . -1091) T) ((-189 . -1091) T) ((-188 . -1091) T) ((-187 . -1091) T) ((-186 . -1091) T) ((-233 . -105) 75262) ((-170 . -40) 75240) ((-170 . -98) 75218) ((-856 . -138) T) ((-645 . -1038) 75114) ((-494 . -1055) 75044) ((-1104 . -1091) 74834) ((-1128 . -39) T) ((-663 . -500) 74818) ((-78 . -1197) T) ((-109 . -609) 74800) ((-1269 . -609) 74782) ((-384 . -609) 74764) ((-576 . -1186) T) ((-576 . -1183) T) ((-722 . -43) 74613) ((-535 . -609) 74595) ((-529 . -304) 74533) ((-510 . -609) 74515) ((-510 . -610) 74497) ((-1153 . -1137) NIL) ((-1028 . -1067) 74466) ((-1028 . -1091) T) ((-1005 . -105) T) ((-973 . -105) T) ((-911 . -105) T) ((-889 . -1038) 74443) ((-1128 . -717) T) ((-1004 . -638) 74388) ((-482 . -1091) T) ((-469 . -1091) T) ((-586 . -23) T) ((-576 . -40) T) ((-576 . -98) T) ((-430 . -105) T) ((-1060 . -222) 74334) ((-1161 . -43) 74231) ((-854 . -717) T) ((-684 . -917) T) ((-521 . -25) T) ((-517 . -21) T) ((-517 . -25) T) ((-1160 . -43) 74072) ((-338 . -1048) T) ((-1153 . -43) 73868) ((-1074 . -173) T) ((-174 . -1048) T) ((-1115 . -43) 73765) ((-703 . -52) 73742) ((-362 . -173) T) ((-355 . -173) T) ((-528 . -62) 73716) ((-507 . -62) 73666) ((-353 . -1264) 73643) ((-216 . -454) T) ((-315 . -286) 73594) ((-344 . -173) T) ((-174 . -239) T) ((-1209 . -843) 73493) ((-112 . -173) T) ((-867 . -994) 73477) ((-649 . -1103) T) ((-582 . -366) T) ((-582 . -328) 73464) ((-527 . -328) 73441) ((-527 . -366) T) ((-311 . -302) 73420) ((-308 . -302) T) ((-600 . -843) 73399) ((-1104 . -708) 73341) ((-529 . -278) 73325) ((-649 . -23) T) ((-421 . -224) 73309) ((-308 . -1022) NIL) ((-335 . -23) T) ((-237 . -23) T) ((-106 . -1011) 73293) ((-50 . -41) 73272) ((-608 . -1091) T) ((-353 . -371) T) ((-505 . -27) T) ((-233 . -304) 73210) ((-1079 . -1103) T) ((-1268 . -638) 73184) ((-778 . -1103) T) ((-776 . -1103) T) ((-456 . -1103) T) ((-1059 . -454) T) ((-954 . -454) 73135) ((-114 . -1091) T) ((-1079 . -23) T) ((-813 . -1055) T) ((-778 . -23) T) ((-776 . -23) T) ((-493 . -454) 73086) ((-1146 . -524) 72834) ((-384 . -385) 72813) ((-1165 . -414) 72797) ((-464 . -23) T) ((-456 . -23) T) ((-735 . -414) 72781) ((-734 . -297) T) ((-495 . -524) 72714) ((-285 . -286) T) ((-1076 . -609) 72696) ((-410 . -905) 72675) ((-55 . -1103) T) ((-1024 . -917) T) ((-1004 . -717) T) ((-703 . -882) NIL) ((-582 . -1103) T) ((-527 . -1103) T) ((-836 . -638) 72648) ((-1192 . -138) T) ((-1153 . -403) 72600) ((-1005 . -304) NIL) ((-811 . -500) 72584) ((-356 . -917) T) ((-1143 . -39) T) ((-410 . -638) 72536) ((-55 . -23) T) ((-702 . -138) T) ((-703 . -1038) 72416) ((-582 . -23) T) ((-112 . -524) NIL) ((-527 . -23) T) ((-170 . -412) 72387) ((-216 . -1125) T) ((-1126 . -1091) T) ((-1260 . -1259) 72371) ((-691 . -791) T) ((-691 . -788) T) ((-382 . -151) T) ((-1109 . -302) T) ((-1209 . -994) 72341) ((-53 . -917) T) ((-667 . -500) 72325) ((-245 . -1254) 72295) ((-244 . -1254) 72265) ((-1163 . -843) T) ((-1104 . -173) 72244) ((-1109 . -1022) T) ((-1045 . -39) T) ((-830 . -151) 72223) ((-830 . -149) 72202) ((-728 . -111) 72186) ((-608 . -139) T) ((-494 . -1091) 71976) ((-1165 . -1055) T) ((-866 . -454) T) ((-90 . -1197) T) ((-233 . -43) 71946) ((-143 . -111) 71928) ((-924 . -1089) T) ((-703 . -380) 71912) ((-735 . -1055) T) ((-1109 . -551) T) ((-393 . -1054) 71896) ((-1268 . -717) T) ((-1159 . -951) 71865) ((-57 . -609) 71847) ((-1114 . -951) 71814) ((-644 . -414) 71798) ((-1257 . -1055) T) ((-1238 . -105) T) ((-614 . -1054) 71782) ((-653 . -25) T) ((-653 . -21) T) ((-1145 . -524) NIL) ((-1231 . -105) T) ((-1210 . -105) T) ((-393 . -120) 71761) ((-213 . -248) 71745) ((-1204 . -105) T) ((-1052 . -1091) T) ((-1005 . -1137) T) ((-1052 . -1051) 71685) ((-814 . -1091) T) ((-342 . -1202) T) ((-627 . -638) 71669) ((-614 . -120) 71648) ((-603 . -638) 71632) ((-595 . -105) T) ((-586 . -138) T) ((-594 . -105) T) ((-417 . -1091) T) ((-388 . -1091) T) ((-220 . -1091) 71610) ((-637 . -524) 71543) ((-624 . -524) 71351) ((-829 . -1048) 71330) ((-635 . -155) 71314) ((-342 . -559) T) ((-703 . -896) 71257) ((-552 . -222) 71207) ((-1238 . -280) 71173) ((-1231 . -280) 71139) ((-1074 . -286) 71090) ((-498 . -841) T) ((-214 . -1103) T) ((-1210 . -280) 71056) ((-1204 . -280) 71022) ((-1005 . -43) 70972) ((-209 . -841) T) ((-1192 . -503) 70938) ((-911 . -43) 70890) ((-836 . -790) 70869) ((-836 . -787) 70848) ((-836 . -717) 70827) ((-362 . -286) T) ((-355 . -286) T) ((-344 . -286) T) ((-170 . -454) 70758) ((-430 . -43) 70742) ((-112 . -286) T) ((-214 . -23) T) ((-410 . -790) 70721) ((-410 . -787) 70700) ((-410 . -717) T) ((-510 . -284) 70675) ((-490 . -1054) 70640) ((-649 . -138) T) ((-1104 . -524) 70573) ((-335 . -138) T) ((-170 . -405) 70552) ((-237 . -138) T) ((-494 . -708) 70494) ((-811 . -282) 70471) ((-490 . -120) 70420) ((-33 . -37) 70404) ((-644 . -1055) T) ((-1219 . -454) 70335) ((-1079 . -138) T) ((-258 . -843) 70314) ((-243 . -843) 70293) ((-778 . -138) T) ((-776 . -138) T) ((-576 . -454) T) ((-1052 . -708) 70235) ((-614 . -1048) T) ((-1028 . -524) 70168) ((-464 . -138) T) ((-456 . -138) T) ((-50 . -1091) T) ((-388 . -708) 70138) ((-813 . -1091) T) ((-482 . -524) 70071) ((-469 . -524) 70004) ((-455 . -370) 69974) ((-50 . -606) 69953) ((-311 . -297) T) ((-663 . -609) 69915) ((-64 . -843) 69894) ((-1210 . -304) 69779) ((-1005 . -403) 69761) ((-811 . -602) 69738) ((-526 . -843) 69717) ((-506 . -843) 69696) ((-45 . -1202) T) ((-1000 . -1038) 69592) ((-55 . -138) T) ((-582 . -138) T) ((-527 . -138) T) ((-289 . -638) 69452) ((-342 . -328) 69429) ((-342 . -366) T) ((-320 . -321) 69406) ((-315 . -282) 69391) ((-45 . -559) T) ((-382 . -1183) T) ((-382 . -1186) T) ((-1036 . -1174) 69366) ((-1171 . -228) 69316) ((-1153 . -224) 69268) ((-1036 . -111) 69214) ((-329 . -1091) T) ((-382 . -98) T) ((-382 . -40) T) ((-861 . -21) T) ((-861 . -25) T) ((-856 . -25) T) ((-490 . -1048) T) ((-539 . -537) 69158) ((-856 . -21) T) ((-491 . -228) 69108) ((-1146 . -500) 69042) ((-1269 . -1054) 69026) ((-384 . -1054) 69010) ((-490 . -239) T) ((-812 . -105) T) ((-705 . -151) 68989) ((-705 . -149) 68968) ((-495 . -500) 68952) ((-1269 . -120) 68931) ((-496 . -334) 68900) ((-1000 . -380) 68884) ((-522 . -1091) T) ((-494 . -173) 68863) ((-1000 . -337) 68847) ((-416 . -105) T) ((-384 . -120) 68826) ((-276 . -985) 68810) ((-275 . -985) 68794) ((-217 . -39) T) ((-145 . -39) T) ((-1267 . -609) 68776) ((-1265 . -609) 68758) ((-114 . -524) NIL) ((-1159 . -1222) 68742) ((-847 . -845) 68726) ((-1165 . -1091) T) ((-106 . -1197) T) ((-954 . -951) 68687) ((-735 . -1091) T) ((-813 . -708) 68624) ((-1210 . -1137) NIL) ((-493 . -951) 68569) ((-1059 . -147) T) ((-65 . -105) 68547) ((-49 . -609) 68529) ((-83 . -609) 68511) ((-353 . -638) 68456) ((-1257 . -1091) T) ((-521 . -843) T) ((-342 . -1103) T) ((-290 . -1091) T) ((-1000 . -896) 68415) ((-290 . -606) 68394) ((-1238 . -43) 68291) ((-1231 . -43) 68132) ((-538 . -1089) T) ((-1210 . -43) 67928) ((-498 . -1055) T) ((-1204 . -43) 67825) ((-209 . -1055) T) ((-342 . -23) T) ((-156 . -609) 67807) ((-829 . -791) 67786) ((-829 . -788) 67765) ((-734 . -917) 67744) ((-595 . -43) 67717) ((-594 . -43) 67614) ((-865 . -559) T) ((-214 . -138) T) ((-315 . -1003) 67580) ((-84 . -609) 67562) ((-703 . -302) 67541) ((-289 . -717) 67443) ((-820 . -105) T) ((-853 . -837) T) ((-289 . -479) 67422) ((-1260 . -105) T) ((-45 . -366) T) ((-867 . -151) 67401) ((-33 . -1091) T) ((-867 . -149) 67380) ((-1145 . -500) 67362) ((-1269 . -1048) T) ((-494 . -524) 67295) ((-1132 . -1197) T) ((-966 . -609) 67277) ((-637 . -500) 67261) ((-624 . -500) 67193) ((-811 . -609) 66951) ((-53 . -27) T) ((-1165 . -708) 66848) ((-644 . -1091) T) ((-439 . -367) 66822) ((-735 . -708) 66651) ((-1093 . -105) T) ((-812 . -304) 66638) ((-853 . -1091) T) ((-1265 . -385) 66610) ((-1052 . -524) 66543) ((-1146 . -282) 66519) ((-233 . -224) 66488) ((-1257 . -708) 66458) ((-813 . -173) 66437) ((-220 . -524) 66370) ((-614 . -791) 66349) ((-614 . -788) 66328) ((-1195 . -609) 66275) ((-213 . -1197) T) ((-667 . -609) 66242) ((-1143 . -1011) 66226) ((-353 . -717) T) ((-945 . -105) 66176) ((-1210 . -403) 66128) ((-1104 . -500) 66112) ((-65 . -304) 66050) ((-330 . -105) T) ((-1192 . -21) T) ((-1192 . -25) T) ((-45 . -1103) T) ((-702 . -21) T) ((-619 . -609) 66032) ((-525 . -321) 66011) ((-702 . -25) T) ((-112 . -282) NIL) ((-918 . -1103) T) ((-45 . -23) T) ((-764 . -1103) T) ((-569 . -1202) T) ((-505 . -1202) T) ((-315 . -609) 65993) ((-1005 . -224) 65975) ((-170 . -167) 65959) ((-581 . -559) T) ((-569 . -559) T) ((-505 . -559) T) ((-764 . -23) T) ((-1230 . -151) 65938) ((-1146 . -602) 65914) ((-1230 . -149) 65893) ((-1028 . -500) 65877) ((-1209 . -149) 65802) ((-1209 . -151) 65727) ((-1260 . -1266) 65706) ((-482 . -500) 65690) ((-469 . -500) 65674) ((-532 . -39) T) ((-644 . -708) 65644) ((-653 . -843) 65623) ((-1165 . -173) 65574) ((-368 . -105) T) ((-233 . -231) 65553) ((-245 . -105) T) ((-244 . -105) T) ((-1219 . -951) 65522) ((-113 . -105) T) ((-241 . -843) 65501) ((-812 . -43) 65350) ((-735 . -173) 65241) ((-50 . -524) 65001) ((-1145 . -282) 64976) ((-206 . -1091) T) ((-1136 . -1091) T) ((-922 . -105) T) ((-1136 . -606) 64955) ((-586 . -25) T) ((-586 . -21) T) ((-1093 . -304) 64893) ((-965 . -414) 64877) ((-689 . -1202) T) ((-624 . -282) 64852) ((-1079 . -631) 64800) ((-778 . -631) 64748) ((-776 . -631) 64696) ((-342 . -138) T) ((-285 . -609) 64678) ((-922 . -921) 64650) ((-689 . -559) T) ((-901 . -1091) T) ((-865 . -1103) T) ((-456 . -631) 64598) ((-901 . -899) 64582) ((-858 . -857) T) ((-858 . -859) T) ((-945 . -304) 64520) ((-382 . -454) T) ((-865 . -23) T) 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T) ((-464 . -21) T) ((-456 . -25) T) ((-456 . -21) T) ((-1128 . -1038) 63911) ((-813 . -286) 63890) ((-734 . -433) 63874) ((-819 . -1091) T) ((-663 . -120) 63853) ((-290 . -524) 63613) ((-1267 . -1054) 63597) ((-1265 . -1054) 63581) ((-1230 . -1183) 63547) ((-245 . -304) 63485) ((-244 . -304) 63423) ((-1213 . -105) 63401) ((-1146 . -610) NIL) ((-1146 . -609) 63383) ((-1230 . -1186) 63349) ((-1210 . -224) 63301) ((-1209 . -1183) 63267) ((-1209 . -1186) 63233) ((-1128 . -380) 63217) ((-1109 . -816) T) ((-1109 . -917) T) ((-1104 . -602) 63194) ((-1074 . -610) 63178) ((-539 . -105) T) ((-495 . -609) 63145) ((-811 . -284) 63122) ((-604 . -155) 63069) ((-421 . -1055) T) ((-498 . -708) 63019) ((-494 . -500) 63003) ((-326 . -843) 62982) ((-338 . -638) 62956) ((-55 . -21) T) ((-55 . -25) T) ((-209 . -708) 62906) ((-170 . -715) 62877) ((-174 . -638) 62809) ((-582 . -21) T) ((-582 . -25) T) ((-527 . -25) T) ((-527 . -21) T) ((-481 . -155) 62759) ((-1074 . -609) 62741) ((-1058 . -609) 62723) 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. -105) 53870) ((-1074 . -239) 53821) ((-430 . -1055) T) ((-362 . -1048) T) ((-355 . -1048) T) ((-368 . -367) 53798) ((-344 . -1048) T) ((-245 . -231) 53777) ((-244 . -231) 53756) ((-113 . -367) 53730) ((-1074 . -226) 53655) ((-1115 . -1091) T) ((-289 . -896) 53614) ((-112 . -1048) T) ((-734 . -1202) 53593) ((-684 . -138) T) ((-421 . -524) 53435) ((-362 . -226) 53414) ((-362 . -239) T) ((-49 . -711) T) ((-355 . -226) 53393) ((-355 . -239) T) ((-344 . -226) 53372) ((-344 . -239) T) ((-734 . -559) T) ((-170 . -304) 53337) ((-112 . -239) T) ((-112 . -226) T) ((-315 . -788) T) ((-865 . -21) T) ((-865 . -25) T) ((-410 . -302) T) ((-510 . -39) T) ((-114 . -284) 53312) ((-1104 . -1054) 53209) ((-866 . -1137) NIL) ((-861 . -860) T) ((-861 . -859) T) ((-856 . -855) T) ((-856 . -859) T) ((-856 . -860) T) ((-329 . -609) 53191) ((-410 . -1022) 53169) ((-1104 . -120) 53059) ((-861 . -149) 53029) ((-861 . -151) T) ((-856 . -151) T) ((-856 . -149) 52999) ((-439 . -1091) T) ((-1269 . -717) T) ((-68 . 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. -1206) 47284) ((-1232 . -1103) T) ((-209 . -610) 47214) ((-209 . -609) 47196) ((-1060 . -602) 47171) ((-64 . -155) 47155) ((-526 . -155) 47139) ((-506 . -155) 47123) ((-362 . -1264) 47107) ((-355 . -1264) 47091) ((-344 . -1264) 47075) ((-311 . -366) 47054) ((-308 . -366) T) ((-494 . -1048) 46984) ((-684 . -631) 46966) ((-1267 . -638) 46940) ((-1265 . -638) 46914) ((-1232 . -23) T) ((-680 . -500) 46898) ((-69 . -609) 46880) ((-1104 . -791) 46831) ((-1104 . -788) 46782) ((-552 . -500) 46719) ((-663 . -39) T) ((-494 . -226) 46671) ((-290 . -284) 46650) ((-233 . -173) 46629) ((-858 . -1254) 46613) ((-812 . -1055) T) ((-49 . -638) 46571) ((-1074 . -371) 46522) ((-722 . -286) 46453) ((-529 . -524) 46386) ((-813 . -1054) 46337) ((-1079 . -149) 46316) ((-362 . -371) 46295) ((-355 . -371) 46274) ((-344 . -371) 46253) ((-1079 . -151) 46232) ((-866 . -224) 46209) ((-813 . -120) 46144) ((-778 . -149) 46123) ((-778 . -151) 46102) ((-258 . -951) 46069) ((-245 . -841) 46048) ((-243 . -951) 45993) 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. -708) 33117) ((-1114 . -708) 32966) ((-1109 . -631) 32948) ((-847 . -708) 32918) ((-663 . -1197) T) ((-1 . -105) T) ((-233 . -609) 32676) ((-1219 . -414) 32660) ((-1171 . -304) 32464) ((-965 . -1048) T) ((-726 . -1048) T) ((-706 . -1048) T) ((-635 . -1091) 32414) ((-1052 . -638) 32398) ((-848 . -414) 32382) ((-521 . -105) T) ((-517 . -105) T) ((-243 . -304) 32369) ((-258 . -304) 32356) ((-965 . -325) 32335) ((-388 . -638) 32319) ((-491 . -304) 32123) ((-245 . -524) 32056) ((-663 . -1038) 31952) ((-244 . -524) 31885) ((-1127 . -304) 31811) ((-234 . -173) 31790) ((-815 . -1091) T) ((-795 . -1054) 31774) ((-1238 . -282) 31759) ((-1231 . -282) 31744) ((-1210 . -282) 31592) ((-1204 . -282) 31577) ((-389 . -1091) T) ((-322 . -1091) T) ((-421 . -1048) T) ((-170 . -1055) T) ((-64 . -304) 31515) ((-795 . -120) 31494) ((-594 . -282) 31479) ((-528 . -304) 31417) ((-526 . -304) 31355) ((-507 . -304) 31293) ((-506 . -304) 31231) ((-421 . -226) 31210) ((-494 . -39) T) ((-1005 . -610) 31140) ((-216 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\ No newline at end of file
diff -Nru axiom-20110301a/src/share/algebra/compress.daase axiom-20111101/src/share/algebra/compress.daase
--- axiom-20110301a/src/share/algebra/compress.daase	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/compress.daase	2011-12-01 04:03:16.000000000 +0000
@@ -1,3 +1,3 @@
 
-(30 . 3488060040)            
-(4524 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| |OneDimensionalArrayAggregate| |AbelianGroup&| |AbelianGroup| |AbelianMonoid&| |AbelianMonoid| |AbelianSemiGroup&| |AbelianSemiGroup| |AlgebraicallyClosedField&| |AlgebraicallyClosedField| |AlgebraicallyClosedFunctionSpace&| |AlgebraicallyClosedFunctionSpace| |PlaneAlgebraicCurvePlot| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraicFunction| |AffineSpaceCategory| |Aggregate&| |Aggregate| |ArcHyperbolicFunctionCategory| |AssociationListAggregate| |Algebra&| |Algebra| |AlgFactor| |AlgebraicFunctionField| |AlgebraicManipulations| |AlgebraicMultFact| |AlgebraPackage| |AlgebraGivenByStructuralConstants| |AssociationList| |AbelianMonoidRing&| 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|FactoredFunctionUtilities| |FunctionSpaceToExponentialExpansion| |FunctionSpaceFunctions2| |FunctionSpaceToUnivariatePowerSeries| |FiniteSetAggregateFunctions2| |FiniteSetAggregate&| |FiniteSetAggregate| |FunctionSpaceComplexIntegration| |FourierSeries| |FunctionSpaceIntegration| |FunctionSpace&| |FunctionSpace| |FunctionalSpecialFunction| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FortranScalarType| |FunctionSpaceUnivariatePolynomialFactor| |FortranTemplate| |FortranType| |FunctionCalled| |FortranVectorCategory| |FortranVectorFunctionCategory| |GaloisGroupFactorizer| |GaloisGroupFactorizationUtilities| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |EuclideanGroebnerBasisPackage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |GcdDomain&| |GcdDomain| |GenericNonAssociativeAlgebra| |GeneralDistributedMultivariatePolynomial| |GnuDraw| |GenExEuclid| |GeneralizedMultivariateFactorize| |GeneralPolynomialGcdPackage| |GenUFactorize| |GenerateUnivariatePowerSeries| |GeneralHenselPackage| |GeneralModulePolynomial| |GuessOptionFunctions0| |GuessOption| |GosperSummationMethod| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialSet| |GradedAlgebra&| |GradedAlgebra| |GrayCode| |GraphicsDefaults| |GraphImage| |GradedModule&| |GradedModule| |GroebnerSolve| |Group&| |Group| |GeneralUnivariatePowerSeries| |GeneralSparseTable| |GeneralTriangularSet| |GuessAlgebraicNumber| |GuessFiniteFunctions| |GuessFinite| |GuessInteger| |Guess| |GuessPolynomial| |GuessUnivariatePolynomial| |Pi| |HashTable| |HallBasis| |HomogeneousDistributedMultivariatePolynomial| |HomogeneousDirectProduct| |Heap| |HyperellipticFiniteDivisor| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousAggregate| |HTMLFormat| |HyperbolicFunctionCategory&| |HyperbolicFunctionCategory| |InnerAlgFactor| |InnerAlgebraicNumber| |IndexedOneDimensionalArray| |IndexedTwoDimensionalArray| 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|InnerMultFact| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InnerPolySign| |IntegerNumberSystem&| |IntegerNumberSystem| |InnerTable| |AlgebraicIntegration| |AlgebraicIntegrate| |IntegerBits| |IntervalCategory| |IntersectionDivisorPackage| |IntegralDomain&| |IntegralDomain| |ElementaryIntegration| |InterfaceGroebnerPackage| |IntegerFactorizationPackage| |InterpolateFormsPackage| |IntegrationFunctionsTable| |GenusZeroIntegration| |IntegerNumberTheoryFunctions| |AlgebraicHermiteIntegration| |TranscendentalHermiteIntegration| |Integer| |AnnaNumericalIntegrationPackage| |PureAlgebraicIntegration| |PatternMatchIntegration| |RationalIntegration| |IntegerRetractions| |RationalFunctionIntegration| |Interval| |IntegerSolveLinearPolynomialEquation| |IntegrationTools| |TranscendentalIntegration| |InverseLaplaceTransform| |InnerPAdicInteger| |InnerPrimeField| |InternalPrintPackage| |IntegrationResultToFunction| |IntegrationResultFunctions2| |IntegrationResult| |IntegerRoots| |IrredPolyOverFiniteField| |IntegrationResultRFToFunction| |IrrRepSymNatPackage| |InternalRationalUnivariateRepresentationPackage| |IndexedString| |InnerPolySum| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |InfiniteTupleFunctions2| |InfiniteTupleFunctions3| |InnerTrigonometricManipulations| |InfiniteTuple| |IndexedVector| |IndexedAggregate&| |IndexedAggregate| |AssociatedJordanAlgebra| |KeyedAccessFile| |KeyedDictionary&| |KeyedDictionary| |KernelFunctions2| |Kernel| |CoercibleTo| |ConvertibleTo| |Kovacic| |LeftAlgebra&| |LeftAlgebra| |LocalAlgebra| |LaplaceTransform| |LaurentPolynomial| |LazardSetSolvingPackage| |LeadingCoefDetermination| |LieExponentials| |LexTriangularPackage| |LiouvillianFunctionCategory| |LiouvillianFunction| |LinGroebnerPackage| |Library| |LieAlgebra&| |LieAlgebra| |AssociatedLieAlgebra| |PowerSeriesLimitPackage| |RationalFunctionLimitPackage| |LinearDependence| |LinearlyExplicitRingOver| |ListToMap| |ListFunctions2| |ListFunctions3| |List| |LinearSystemFromPowerSeriesPackage| |ListMultiDictionary| |LeftModule| |ListMonoidOps| |LinearAggregate&| |LinearAggregate| |LocalPowerSeriesCategory| |ElementaryFunctionLODESolver| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorCategory&| |LinearOrdinaryDifferentialOperatorCategory| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperatorsOps| |Logic&| |Logic| |Localize| |LinesOpPack| |LocalParametrizationOfSimplePointPackage| |LinearPolynomialEquationByFractions| |LiePolynomial| |ListAggregate&| |ListAggregate| |LinearSystemMatrixPackage1| |LinearSystemMatrixPackage| |LinearSystemPolynomialPackage| |LieSquareMatrix| |LyndonWord| |LazyStreamAggregate&| |LazyStreamAggregate| |ThreeDimensionalMatrix| |Magma| |MappingPackageInternalHacks1| |MappingPackageInternalHacks2| |MappingPackageInternalHacks3| |MappingPackage1| |MappingPackage2| |MappingPackage3| |MappingPackage4| |MatrixCategoryFunctions2| |MatrixCategory&| |MatrixCategory| |MatrixLinearAlgebraFunctions| |Matrix| |StorageEfficientMatrixOperations| |MultiVariableCalculusFunctions| |MatrixCommonDenominator| |MachineComplex| |MultiDictionary| |ModularDistinctDegreeFactorizer| |MeshCreationRoutinesForThreeDimensions| |MultFiniteFactorize| |MachineFloat| |ModularHermitianRowReduction| |MachineInteger| |MakeBinaryCompiledFunction| |MakeCachableSet| |MakeFloatCompiledFunction| |MakeFunction| |MakeRecord| |MakeUnaryCompiledFunction| |MultivariateLifting| |MonogenicLinearOperator| |MultipleMap| |MathMLFormat| |ModularField| |ModMonic| |ModuleMonomial| |ModuleOperator| |ModularRing| |Module&| |Module| |MoebiusTransform| |Monad&| |Monad| |MonadWithUnit&| |MonadWithUnit| |MonogenicAlgebra&| |MonogenicAlgebra| |Monoid&| |Monoid| |MonomialExtensionTools| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatPolyFactorizer| |MultivariatePolynomial| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MonoidRingFunctions2| |MonoidRing| |MultisetAggregate| |Multiset| |MoreSystemCommands| |MergeThing| |MultivariateTaylorSeriesCategory| |MultivariateFactorize| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NonAssociativeAlgebra&| |NonAssociativeAlgebra| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagIntegrationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagInterpolationPackage| |NagFittingPackage| |NagOptimisationPackage| |NagMatrixOperationsPackage| |NagEigenPackage| |NagLinearEquationSolvingPackage| |NagLapack| |NagSpecialFunctionsPackage| |NAGLinkSupportPackage| |NonAssociativeRng&| |NonAssociativeRng| |NonAssociativeRing&| |NonAssociativeRing| |NumericComplexEigenPackage| |NumericContinuedFraction| |NonCommutativeOperatorDivision| |NewtonInterpolation| |NumberFieldIntegralBasis| |NumericalIntegrationProblem| |NonLinearSolvePackage| |NonNegativeInteger| |NonLinearFirstOrderODESolver| |NoneFunctions1| |None| |NormInMonogenicAlgebra| |NormalizationPackage| |NormRetractPackage| |NottinghamGroup| |NPCoef| |NewtonPolygon| |NumericRealEigenPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomialFunctions2| |NewSparseUnivariatePolynomial| |NumberTheoreticPolynomialFunctions| |NormalizedTriangularSetCategory| |Numeric| |NumberFormats| |NumericalIntegrationCategory| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |NumericTubePlot| |OrderedAbelianGroup| |OrderedAbelianMonoid| |OrderedAbelianMonoidSup| |OrderedAbelianSemiGroup| |OrderedCancellationAbelianMonoid| |OctonionCategory&| |OctonionCategory| |OctonionCategoryFunctions2| |Octonion| |OrdinaryDifferentialEquationsSolverCategory| |ConstantLODE| |ElementaryFunctionODESolver| |ODEIntensityFunctionsTable| |ODEIntegration| |AnnaOrdinaryDifferentialEquationPackage| |PureAlgebraicLODE| |PrimitiveRatDE| |NumericalODEProblem| |PrimitiveRatRicDE| |RationalLODE| |ReduceLODE| |RationalRicDE| |SystemODESolver| |ODETools| |OrderedDirectProduct| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OrderlyDifferentialVariable| |OrderedFreeMonoid| |OrderedIntegralDomain| |OpenMathConnection| |OpenMathDevice| |OpenMathEncoding| |OpenMathErrorKind| |OpenMathError| |ExpressionToOpenMath| |OppositeMonogenicLinearOperator| |OpenMath| |OpenMathPackage| |OrderedMultisetAggregate| |OpenMathServerPackage| |OnePointCompletionFunctions2| |OnePointCompletion| |Operator| |OperationsQuery| |NumericalOptimizationCategory| |AnnaNumericalOptimizationPackage| |NumericalOptimizationProblem| |OrderedCompletionFunctions2| |OrderedCompletion| |OrderedFinite| |OrderingFunctions| |OrderedMonoid| |OrderedRing&| |OrderedRing| |OrderedSet&| |OrderedSet| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategory| |UnivariateSkewPolynomialCategoryOps| |SparseUnivariateSkewPolynomial| |UnivariateSkewPolynomial| |OrthogonalPolynomialFunctions| |OrdSetInts| |OutputForm| |OutputPackage| |OrderedVariableList| |OrdinaryWeightedPolynomials| |PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteFieldCategory| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfPerfectFieldCategory| |PseudoAlgebraicClosureOfRationalNumberCategory| |PseudoAlgebraicClosureOfRationalNumber| |PadeApproximants| |PadeApproximantPackage| |PAdicIntegerCategory| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForAlgebraicFunctionField| |Palette| |PolynomialAN2Expression| |ParametrizationPackage| |ParametricPlaneCurveFunctions2| |ParametricPlaneCurve| |ParametricSpaceCurveFunctions2| |ParametricSpaceCurve| |ParametricSurfaceFunctions2| |ParametricSurface| |PartitionsAndPermutations| |Patternable| |PatternMatchListResult| |PatternMatchable| |PatternMatch| |PatternMatchResultFunctions2| |PatternMatchResult| |PatternFunctions1| |PatternFunctions2| |Pattern| |PoincareBirkhoffWittLyndonBasis| |PolynomialComposition| |PartialDifferentialEquationsSolverCategory| |PolynomialDecomposition| |AnnaPartialDifferentialEquationPackage| |NumericalPDEProblem| |PartialDifferentialRing&| |PartialDifferentialRing| |PendantTree| |Permanent| |PermutationCategory| |PermutationGroup| |Permutation| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialFactorizationExplicit| |PrimeField| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PackageForPoly| |PointsOfFiniteOrderTools| |PartialFraction| |PartialFractionPackage| |PolynomialGcdPackage| |PermutationGroupExamples| |PolyGroebner| |PiCoercions| |PrincipalIdealDomain| |PositiveInteger| |PolynomialInterpolationAlgorithms| |PolynomialInterpolation| |PlacesCategory| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |Plcs| |ParametricLinearEquations| |PlotFunctions1| |Plot3D| |Plot| |PlotTools| |PolynomialPackageForCurve| |FunctionSpaceAssertions| |PatternMatchAssertions| |PatternMatchPushDown| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchKernel| |PatternMatchListAggregate| |PatternMatchPolynomialCategory| |FunctionSpaceAttachPredicates| |AttachPredicates| |PatternMatchQuotientFieldCategory| |PatternMatchSymbol| |PatternMatchTools| |PolynomialNumberTheoryFunctions| |Point| |PolToPol| |RealPolynomialUtilitiesPackage| |PolynomialFunctions2| |PolynomialToUnivariatePolynomial| |PolynomialCategory&| |PolynomialCategory| |PolynomialCategoryQuotientFunctions| |PolynomialCategoryLifting| |Polynomial| |PolynomialRoots| |PlottablePlaneCurveCategory| |PrecomputedAssociatedEquations| |PrimitiveArrayFunctions2| |PrimitiveArray| |PrimitiveFunctionCategory| |PrimitiveElement| |IntegerPrimesPackage| |PrintPackage| |ProjectiveAlgebraicSetPackage| |PolynomialRing| |Product| |ProjectivePlane| 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|RealClosedField&| |RealClosedField| |ElementaryRischDE| |ElementaryRischDESystem| |TranscendentalRischDE| |TranscendentalRischDESystem| |RandomDistributions| |ReducedDivisor| |RealZeroPackage| |RealZeroPackageQ| |RealConstant| |RealSolvePackage| |RealClosure| |RecurrenceOperator| |ReductionOfOrder| |Reference| |RegularTriangularSet| |RepresentationPackage1| |RepresentationPackage2| |RepeatedDoubling| |RadicalEigenPackage| |RepeatedSquaring| |ResolveLatticeCompletion| |ResidueRing| |Result| |RetractableTo&| |RetractableTo| |RetractSolvePackage| |RandomFloatDistributions| |RationalFunctionFactor| |RationalFunctionFactorizer| |RationalFunction| |RootsFindingPackage| |RegularChain| |RandomIntegerDistributions| |Ring&| |Ring| |RationalInterpolation| |RectangularMatrixCategory&| |RectangularMatrixCategory| |RectangularMatrix| |RectangularMatrixCategoryFunctions2| |RightModule| |Rng| |RealNumberSystem&| |RealNumberSystem| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| 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|StreamTranscendentalFunctionsNonCommutative| |StreamTranscendentalFunctions| |SubResultantPackage| |SubSpace| |SuchThat| |SparseUnivariateLaurentSeries| |FunctionSpaceSum| |RationalFunctionSum| |SparseUnivariatePolynomialFunctions2| |SparseUnivariatePolynomialExpressions| |SupFractionFactorizer| |SparseUnivariatePolynomial| |SparseUnivariatePuiseuxSeries| |SparseUnivariateTaylorSeries| |Switch| |Symbol| |SymmetricFunctions| |SymmetricPolynomial| |TheSymbolTable| |SymbolTable| |SystemSolvePackage| |TableauxBumpers| |Tableau| |Table| |TangentExpansions| |TableAggregate&| |TableAggregate| |TabulatedComputationPackage| |TemplateUtilities| |TexFormat1| |TexFormat| |TextFile| |ToolsForSign| |TopLevelThreeSpace| |TranscendentalFunctionCategory&| |TranscendentalFunctionCategory| |Tree| |TrigonometricFunctionCategory&| |TrigonometricFunctionCategory| |TrigonometricManipulations| |TriangularMatrixOperations| |TranscendentalManipulations| |TriangularSetCategory&| |TriangularSetCategory| |TaylorSeries| |TubePlot| |TubePlotTools| |Tuple| |TwoFactorize| |Type| |UserDefinedPartialOrdering| |UserDefinedVariableOrdering| |UniqueFactorizationDomain&| |UniqueFactorizationDomain| |UnivariateFormalPowerSeriesFunctions| |UnivariateFormalPowerSeries| |UnivariateLaurentSeriesFunctions2| |UnivariateLaurentSeriesCategory| |UnivariateLaurentSeriesConstructorCategory&| |UnivariateLaurentSeriesConstructorCategory| |UnivariateLaurentSeriesConstructor| |UnivariateLaurentSeries| |UnivariateFactorize| |UniversalSegmentFunctions2| |UniversalSegment| |UnivariatePolynomialFunctions2| |UnivariatePolynomialCommonDenominator| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialDivisionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePolynomial| |UnivariatePolynomialCategoryFunctions2| |UnivariatePolynomialCategory&| |UnivariatePolynomialCategory| |UnivariatePowerSeriesCategory&| |UnivariatePowerSeriesCategory| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeriesFunctions2| |UnivariatePuiseuxSeriesCategory| |UnivariatePuiseuxSeriesConstructorCategory&| |UnivariatePuiseuxSeriesConstructorCategory| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnaryRecursiveAggregate&| |UnaryRecursiveAggregate| |UnivariateTaylorSeriesFunctions2| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesCategory| |UnivariateTaylorSeries| |UnivariateTaylorSeriesODESolver| |UTSodetools| |TaylorSolve| |UnivariateTaylorSeriesCZero| |Variable| |VectorCategory&| |VectorCategory| |VectorFunctions2| |Vector| |TwoDimensionalViewport| |ThreeDimensionalViewport| |ViewDefaultsPackage| |ViewportPackage| |Void| |VectorSpace&| |VectorSpace| |WeierstrassPreparation| |WildFunctionFieldIntegralBasis| |WeightedPolynomials| |WuWenTsunTriangularSet| |XAlgebra| |XDistributedPolynomial| |XExponentialPackage| |XFreeAlgebra| |ExtensionField&| |ExtensionField| |XPBWPolynomial| |XPolynomialsCat| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| |Record| |Union| |Category| |ScanFloatIgnoreSpaces| |printInfo| |ratDsolve| |areEquivalent?| |expint| |iiatan| |generalizedContinuumHypothesisAssumed?| |symmetricSquare| |internalIntegrate| |incrementKthElement| |pushdown| |validExponential| |iprint| |polar| |bumprow| |cSech| |qsetelt!| |standardBasisOfCyclicSubmodule| |stopTable!| |characteristicPolynomial| |numberRatPlacesExtDeg| |triangulate| |initializeGroupForWordProblem| |triangSolve| |getExplanations| |newElement| |pole?| |deepestTail| |oddlambert| |numberOfChildren| |nextNormalPoly| |sumSquares| |maxrow| |rightRemainder| |rightGcd| |directSum| |replaceVarByZero| |enterPointData| |OMputEndAtp| |initiallyReduce| |lazyIntegrate| |intensity| |lintgcd| |viewDeltaYDefault| |var2StepsDefault| |symFunc| |localParam| |exprToUPS| |sorted?| 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|queue| |display| |sylvesterMatrix| |s14abf| |outputAsFortran| |common| |closeComponent| |coerceListOfPairs| |leftTraceMatrix| |cond| |s14aaf| |rightExtendedGcd| |fortranCharacter| |integerBound| |sizePascalTriangle| |trivialIdeal?| |s13adf| |modifyPointData| |components| BY |halfExtendedSubResultantGcd2| |rationalPower| |OMputSymbol| |s13acf| |leftLcm| |ratpart| |lfinfieldint| |expr| |projectivePoint| |inRadical?| |depth| |s13aaf| |points| |flagFactor| |wreath| |shrinkable| |makeViewport3D| |elColumn2!| |last| |s01eaf| |localReal?| |nthFactor| |multiplyExponents| |generalInfiniteProduct| |count| |ellipticCylindrical| |s21bdf| |imagK| |inconsistent?| F2FG |s21bcf| |sturmVariationsOf| |partitions| |truncate| |fortranLiteralLine| |hdmpToDmp| |reshape| |s21bbf| |stFunc2| |conjugates| |move| |rename| |primitiveElement| |s21baf| |lexGroebner| |differentiate| |perspective| |sts2stst| |op| |OMputVariable| |iipolygamma| |rootRadius| |s20adf| |linearPolynomials| |limitPlus| |hyperelliptic| 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|singular?| |doubleComplex?| |cosIfCan| |multMonom| |f04faf| |dmp2rfi| |bfKeys| |yCoordinates| |iiBesselY| |polygon| |index| |fglmIfCan| |f04axf| |radicalEigenvector| |OMputBVar| |isTimes| |composite| |f04atf| |pattern| |Ei| |insertMatch| |ShiftAction| |tab1| |iiacot| |f04asf| |subresultantVector| |cyclic| |mulmod| |innerSolve| |ShiftC| |useEisensteinCriterion?| |goodPoint| |read!| |OMputFloat| |f04arf| |roughUnitIdeal?| |powern| |multisect| |univariateSolve| |basisOfCenter| |cyclicParents| |infiniteProduct| |cycleRagits| |leftNorm| |recoverAfterFail| |collectQuasiMonic| |nlde| |factorSquareFreeByRecursion| |endSubProgram| |outputSpacing| |input| |applyRules| |Vectorise| |lepol| |iisech| |pow| |test| |quotValuation| |tanintegrate| |members| |digit?| |anfactor| |quotient| |OMencodingSGML| |setVariableOrder| |ldf2vmf| |exptMod| |getMatch| |atanIfCan| |htrigs| |norm| |log| |aLinear| |screenResolution| |numberOfComposites| |principalIdeal| |central?| |cycleEntry| |cyclicGroup| |unit?| |closedCurve| |guessHolo| |closed?| |normDeriv2| |errorKind| |padicallyExpand| |nthExponent| |recur| |constantToUnaryFunction| |init| |intPatternMatch| |findCoef| |match| |minimize| |accuracyIF| |computeCycleLength| |complexExpand| |monomial2series| |nand| |split| |beauzamyBound| |isobaric?| |brillhartIrreducible?| |orbit| |uncouplingMatrices| |reverse!| |affineAlgSet| |interpolateForms| |node| |quotientByP| |exprHasWeightCosWXorSinWX| |complexEigenvectors| |ffactor| |Hausdorff| |sbt| ** |lieAlgebra?| E1 |OMreadStr| |hdmpToP| |squareTop| |safety| |basisOfCentroid| |affineRationalPoints| |tracePowMod| |rowEchLocal| |rowEchWoZeroLines| |numFunEvals| |interval| |semiDegreeSubResultantEuclidean| |chebyshevT| |countRealRootsMultiple| |primintegrate| |rootSimp| |coerceS| |shiftRoots| |groebnerIdeal| |Aleph| |rootPower| |vertConcat| |integerIfCan| |computeBasis| |chvar| |sample| |changeName| |euler| |musserTrials| |createLowComplexityNormalBasis| |isPower| |merge!| |asinIfCan| |univcase| 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+(30 . 3524719203)            
+(4538 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| |OneDimensionalArrayAggregate| |AbelianGroup&| |AbelianGroup| |AbelianMonoid&| |AbelianMonoid| |AbelianSemiGroup&| |AbelianSemiGroup| |AlgebraicallyClosedField&| |AlgebraicallyClosedField| |AlgebraicallyClosedFunctionSpace&| |AlgebraicallyClosedFunctionSpace| |PlaneAlgebraicCurvePlot| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraicFunction| |AffineSpaceCategory| |Aggregate&| |Aggregate| |ArcHyperbolicFunctionCategory| |AssociationListAggregate| |Algebra&| |Algebra| |AlgFactor| |AlgebraicFunctionField| |AlgebraicManipulations| |AlgebraicMultFact| |AlgebraPackage| |AlgebraGivenByStructuralConstants| |AssociationList| |AbelianMonoidRing&| 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|MultivariatePolynomial| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MonoidRingFunctions2| |MonoidRing| |MultisetAggregate| |Multiset| |MoreSystemCommands| |MergeThing| |MultivariateTaylorSeriesCategory| |MultivariateFactorize| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NonAssociativeAlgebra&| |NonAssociativeAlgebra| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagIntegrationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagInterpolationPackage| |NagFittingPackage| |NagOptimisationPackage| |NagMatrixOperationsPackage| |NagEigenPackage| |NagLinearEquationSolvingPackage| |NagLapack| |NagSpecialFunctionsPackage| |NAGLinkSupportPackage| |NonAssociativeRng&| |NonAssociativeRng| |NonAssociativeRing&| |NonAssociativeRing| |NumericComplexEigenPackage| |NumericContinuedFraction| |NonCommutativeOperatorDivision| |NewtonInterpolation| |NumberFieldIntegralBasis| |NumericalIntegrationProblem| |NonLinearSolvePackage| |NonNegativeInteger| |NonLinearFirstOrderODESolver| |NoneFunctions1| |None| |NormInMonogenicAlgebra| |NormalizationPackage| |NormRetractPackage| |NottinghamGroup| |NPCoef| |NewtonPolygon| |NumericRealEigenPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomialFunctions2| |NewSparseUnivariatePolynomial| |NumberTheoreticPolynomialFunctions| |NormalizedTriangularSetCategory| |Numeric| |NumberFormats| |NumericalIntegrationCategory| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |NumericTubePlot| |OrderedAbelianGroup| |OrderedAbelianMonoid| |OrderedAbelianMonoidSup| |OrderedAbelianSemiGroup| |OrderedCancellationAbelianMonoid| |OctonionCategory&| |OctonionCategory| |OctonionCategoryFunctions2| |Octonion| |OrdinaryDifferentialEquationsSolverCategory| |ConstantLODE| |ElementaryFunctionODESolver| |ODEIntensityFunctionsTable| |ODEIntegration| |AnnaOrdinaryDifferentialEquationPackage| |PureAlgebraicLODE| |PrimitiveRatDE| |NumericalODEProblem| |PrimitiveRatRicDE| |RationalLODE| |ReduceLODE| |RationalRicDE| |SystemODESolver| |ODETools| |OrderedDirectProduct| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OrderlyDifferentialVariable| |OrderedFreeMonoid| |OrderedIntegralDomain| |OpenMathConnection| |OpenMathDevice| |OpenMathEncoding| |OpenMathErrorKind| |OpenMathError| |ExpressionToOpenMath| |OppositeMonogenicLinearOperator| |OpenMath| |OpenMathPackage| |OrderedMultisetAggregate| |OpenMathServerPackage| |OnePointCompletionFunctions2| |OnePointCompletion| |Operator| |OperationsQuery| |NumericalOptimizationCategory| |AnnaNumericalOptimizationPackage| |NumericalOptimizationProblem| |OrderedCompletionFunctions2| |OrderedCompletion| |OrderedFinite| |OrderingFunctions| |OrderedMonoid| |OrderedRing&| |OrderedRing| |OrderedSet&| |OrderedSet| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategory| |UnivariateSkewPolynomialCategoryOps| |SparseUnivariateSkewPolynomial| |UnivariateSkewPolynomial| |OrthogonalPolynomialFunctions| |OrdSetInts| |OutputForm| |OutputPackage| |OrderedVariableList| |OrdinaryWeightedPolynomials| |PseudoAlgebraicClosureOfAlgExtOfRationalNumberCategory| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteFieldCategory| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfPerfectFieldCategory| |PseudoAlgebraicClosureOfRationalNumberCategory| |PseudoAlgebraicClosureOfRationalNumber| |PadeApproximants| |PadeApproximantPackage| |PAdicIntegerCategory| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForAlgebraicFunctionField| |Palette| |PolynomialAN2Expression| |ParametrizationPackage| |ParametricPlaneCurveFunctions2| |ParametricPlaneCurve| |ParametricSpaceCurveFunctions2| |ParametricSpaceCurve| |ParametricSurfaceFunctions2| |ParametricSurface| |PartitionsAndPermutations| |Patternable| |PatternMatchListResult| |PatternMatchable| |PatternMatch| |PatternMatchResultFunctions2| |PatternMatchResult| |PatternFunctions1| |PatternFunctions2| |Pattern| |PoincareBirkhoffWittLyndonBasis| |PolynomialComposition| |PartialDifferentialEquationsSolverCategory| |PolynomialDecomposition| |AnnaPartialDifferentialEquationPackage| |NumericalPDEProblem| |PartialDifferentialRing&| |PartialDifferentialRing| |PendantTree| |Permanent| |PermutationCategory| |PermutationGroup| |Permutation| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialFactorizationExplicit| |PrimeField| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PackageForPoly| |PointsOfFiniteOrderTools| |PartialFraction| |PartialFractionPackage| |PolynomialGcdPackage| |PermutationGroupExamples| |PolyGroebner| |PiCoercions| |PrincipalIdealDomain| |PositiveInteger| |PolynomialInterpolationAlgorithms| 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|UnivariatePolynomialCategory&| |UnivariatePolynomialCategory| |UnivariatePowerSeriesCategory&| |UnivariatePowerSeriesCategory| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeriesFunctions2| |UnivariatePuiseuxSeriesCategory| |UnivariatePuiseuxSeriesConstructorCategory&| |UnivariatePuiseuxSeriesConstructorCategory| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnaryRecursiveAggregate&| |UnaryRecursiveAggregate| |UnivariateTaylorSeriesFunctions2| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesCategory| |UnivariateTaylorSeries| |UnivariateTaylorSeriesODESolver| |UTSodetools| |TaylorSolve| |UnivariateTaylorSeriesCZero| |Variable| |VectorCategory&| |VectorCategory| |VectorFunctions2| |Vector| |TwoDimensionalViewport| |ThreeDimensionalViewport| |ViewDefaultsPackage| |ViewportPackage| |Void| |VectorSpace&| |VectorSpace| |WeierstrassPreparation| |WildFunctionFieldIntegralBasis| |WeightedPolynomials| 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|mainCoefficients| |float?| |rootOf| |leftExactQuotient| |fullDisplay| |partialQuotients| |createNormalElement| |relativeApprox| |s17agf| |minIndex| |ptFunc| |suppOfPole| |overlap| |stepBlowUp| |setFieldInfo| |basisOfInterpolateForms| |s17aff| |region| |createPrimitivePoly| |factorFraction| |compBound| |square?| |property| |edf2efi| |composites| |atrapezoidal| |s17aef| |optimize| |atoms| |integralBasis| |light| |fillPascalTriangle| |lfunc| |getShiftRec| |movedPoints| |s17adf| |itsALeaf!| |close| |OMlistCDs| |bezoutResultant| |expenseOfEvaluation| |varselect| |branchIfCan| |s17acf| |closedCurve?| |iiatanh| |nextPrimitivePoly| |graphImage| |rotatey| |extractBottom!| |dequeue| |s15aef| |antisymmetricTensors| |units| |getPickedPoints| |rightDivide| |complement| |iicos| |forLoop| |topFortranOutputStack| |s15adf| |makingStats?| |orderIfNegative| |pseudoQuotient| |zeroVector| |pascalTriangle| |insert| |display| |s14baf| |purelyAlgebraic?| |reverseLex| |reduceLineOverLine| |expPot| |writeObj| |multiplyCoefficients| |singleFactorBound| |whatInfinity| |triangular?| |s14abf| |besselI| |makeFR| |rk4a| |OMgetEndBVar| |realElementary| |code| |retractable?| |mix| |s14aaf| |integral?| |inf| |sign| |hermiteH| |eigenvectors| |setPredicates| |lquo| |s13adf| |blowUp| |nullSpace| |linear?| |cCsch| |skewSFunction| |s13acf| |startTableInvSet!| |toseInvertible?| |chartCoord| |rename!| |rk4f| |nextPrime| |cSec| |s13aaf| |radicalEigenvalues| |complete| |member?| |loopPoints| |unvectorise| |primextendedint| |suppOfZero| |symmetricPower| |logical?| |s01eaf| |badNum| |filterUpTo| |absolutelyIrreducible?| |axes| |entry?| |algebraic?| |s21bdf| |firstUncouplingMatrix| |unrankImproperPartitions1| |indiceSubResultantEuclidean| |perfectSqrt| |ldf2lst| |brillhartTrials| |singularAtInfinity?| |reshape| |univariatePolynomial| |s21bcf| |rightExactQuotient| |removeRoughlyRedundantFactorsInContents| |monomRDE| |crest| |Ei6| |taylorIfCan| |atom?| |s21bbf| |readLineIfCan!| |rewriteSetWithReduction| |nullity| |OMputEndApp| |linearAssociatedLog| |pol| |factorsOfDegree| |s21baf| |linearPart| |parametersOf| |viewSizeDefault| |lastNonNull| |constantKernel| |setOfMinN| |unmakeSUP| |s20adf| |octon| |numberOfDivisors| |hermite| |fortranCarriageReturn| |getCode| |transform| |lyndon| |companionBlocks| |e02agf| |setCurve| |script| |packageCall| |solveLinearPolynomialEquationByRecursion| |optAttributes| |s20acf| |adjoint| |setchildren!| |prime?| |position| |OMmakeConn| |OMconnectTCP| |invertibleElseSplit?| |SFunction| |quickSort| |hMonic| |d01aqf| |ramifMult| |OMputBind| |setOrder| |double?| |s19adf| |yRange| |possiblyNewVariety?| |color| |patternVariable| |clearTable!| |setErrorBound| |completeEval| |digit| |clipWithRanges| |complexZeros| |integer?| |d01apf| |twist| |numeric| |exprHasAlgebraicWeight| |setsubmult!| |df2mf| |option| |inHallBasis?| |airyBi| |s19acf| |wholePart| |solveLinearPolynomialEquationByFractions| |changeWeightLevel| |create3Space| |radPoly| |d01anf| |mainDefiningPolynomial| |acosIfCan| |middle| |ode1| |fortran| |rotatez| |OMencodingXML| |bombieriNorm| |rootBound| |bandedJacobian| |d01amf| SEGMENT |dark| |listAllMonoExp| |rightUnits| |entry| |writable?| |signAround| |d01alf| |addPoint| |selectSumOfSquaresRoutines| |And| |ParCond| |slope| |splitSquarefree| |mapDown!| |bipolar| |s19abf| |hspace| |lp| |power| |vedf2vef| |createPrimitiveNormalPoly| |symbolTable| |radicalOfLeftTraceForm| |showTypeInOutput| |morphism| |integralMatrixAtInfinity| |d01akf| |stoseInvertible?reg| |complexRoots| |curry| |pushFortranOutputStack| |simpleBounds?| |Nul| |s19aaf| |zero?| |Gamma| |fracPart| |powers| |convert| |filename| |nor| |numberOfOperations| |drawToScale| |d01ajf| |overset?| |popFortranOutputStack| |flatten| |OMputEndObject| |palglimint| |top!| |consnewpol| |s18def| |orthonormalBasis| |midpoints| |left| |roughBasicSet| |stoseInvertibleSetreg| |outputAsFortran| |inverseIntegralMatrix| |s18dcf| |zeroSetSplitIntoTriangularSystems| |subs2ndVar| |multiple| |intcompBasis| |integralCoordinates| |newtonPolygon| |s18aff| |nextItem| |subResultantGcdEuclidean| |doubleDisc| |optional| |printHeader| |leftMinimalPolynomial| |coercePreimagesImages| |trigs2explogs| |laplacian| |s18aef| |exponents| |irreducibleRepresentation| |quadraticBezier| |lambda| |adaptive| |in?| |s18adf| |OMconnOutDevice| |not| |solveLinear| |maxShift| |createNormalPrimitivePoly| |divisorAtDesingTree| |s18acf| |numberPlacesDegExtDeg| |FormatRoman| |specialTrigs| |insertRoot!| |f04qaf| |homogenize| |cosSinInfo| |fmecg| |integralRepresents| |zag| |applyQuote| |f04mcf| |pdct| |semicolonSeparate| |cAtan| |leadingSupport| |fprindINFO| |f04mbf| |numberOfFractionalTerms| |inspect| |linkToFortran| |setvalue!| |critT| |factorUsingYun| |f04maf| |stFunc1| |trailingCoefficient| |internalAugment| |radicalEigenvectors| |differentiate| |squareFreePrim| |f04jgf| |shiftInfoRec| |purelyAlgebraicLeadingMonomial?| |cross| |addMatch| |f04faf| |quartic| |coleman| |radicalSimplify| |fullPartialFraction| |heap| |basisOfMiddleNucleus| |rst| |varList| |module| |vector| |mapUnivariateIfCan| |infClsPt?| |powerAssociative?| |predicates| |nthFractionalTerm| |antiAssociative?| |sequences| |iiGamma| |dflist| |leftUnits| |tex| |genericLeftDiscriminant| |rotate!| |basis| |removeSinhSq| |OMUnknownSymbol?| |totalGroebner| |sizeLess?| |readable?| |argumentListOf| |monicRightFactorIfCan| |cSin| |initializeParamOfPlaces| |leadingIdeal| |fortranLogical| |btwFact| |Lazard| |iisec| |digit?| |character?| |critMonD1| |leadingTerm| |wholeRadix| |genus| |trace2PowMod| |henselFact| |charthRoot| |red| |distinguishedRootsOf| |cap| |removeSinSq| |additive?| |cos2sec| |iiAiryBi| |makeTerm| |cAsech| |matrixDimensions| |pointToPlace| |conjug| |sinhcosh| |bezoutMatrix| |prefix| |complexNormalize| |setAdaptive| |result| |blue| |OMputString| |subMultV| |head| |stopTableGcd!| |normalized?| |insertionSort!| |times!| |rubiksGroup| |roman| |stronglyReduce| |guessRec| |hessian| |supersub| |qqq| |printInfo| |lastSubResultant| |bat1| |mathieu12| |useSingleFactorBound| |minRowIndex| |mkcomm| |wordInStrongGenerators| |gethi| |quadraticForm| |LyndonCoordinates| |index| |adaptive?| |initial| |newTypeLists| |minimumDegree| |tower| |reducedDiscriminant| |elliptic| |shallowCopy| |leftRegularRepresentation| |normFactors| |getBadValues| |OMgetObject| |totalDegree| |leadingCoefficient| |iitan| |prinb| |primitiveMonomials| |yCoord| |matrixGcd| |solveLinearlyOverQ| |OMputInteger| |reductum| |pseudoRemainder| |finiteSeries2LinSys| |eigenvalues| |SturmHabicht| |reducedForm| |pair?| |setEmpty!| |problemPoints| |is?| |center| |positiveRemainder| |nodes| |antiCommutator| |palgRDE| |cycleLength| |rowEchelon| |singular?| |quasiComponent| |elem?| |leftQuotient| |doubleComplex?| |box| |init| |innerint| |guessHP| |cosIfCan| |firstExponent| |realZeros| |hex| |multMonom| |cExp| |numerator| |extDegree| |dmp2rfi| |linear| |genericRightMinimalPolynomial| |zeroDimPrimary?| |bfKeys| |normInvertible?| |algebraicCoefficients?| |flush| |yCoordinates| |isOp| |structuralConstants| |enqueue!| |iiBesselY| |userOrdered?| |zeroDimPrime?| |OMUnknownCD?| |polygon| |traverse| |replaceKthElement| |low| |expressIdealMember| |fglmIfCan| |setTower!| |clipSurface| |maxrank| |radicalEigenvector| |minPoly| |OMputEndAttr| |distribute| |OMputBVar| |close!| |setPrologue!| |binomThmExpt| |isTimes| |indicialEquationAtInfinity| |solid| |times| |composite| |OMencodingBinary| |iiexp| |youngGroup| |pattern| |comp| |mathieu22| |myDegree| |att2Result| |Ei| |mapGen| |fortranComplex| |listVariable| |insertMatch| |coth2trigh| |zeta| |cycle| |ShiftAction| |padecf| |bubbleSort!| |UnVectorise| |tab1| |highCommonTerms| |children| |diophantineSystem| |numer| |iiacot| |drawComplexVectorField| |iter| |factorList| |denom| |subresultantVector| |OMgetEndError| |deepCopy| |idealSimplify| |cyclic| |draw| |aspFilename| |finite?| |rectangularMatrix| |mulmod| |makeObject| |subsInVar| |guessPade| |stoseIntegralLastSubResultant| |innerSolve| |explogs2trigs| |OMgetEndAttr| |UpTriBddDenomInv| |coef| |ShiftC| |cyclotomicDecomposition| |setMaxPoints3D| |symmetric?| |monom| |useEisensteinCriterion?| |setFoundPlacesToEmpty| |derivative| |replace| |goodPoint| |biringToPolyRing| |pushdterm| |updatF| |read!| |setPoly| |vspace| |decompose| |OMputFloat| |imagi| |polyRDE| |removeCoshSq| |roughUnitIdeal?| |leader| |internalZeroSetSplit| |nextLatticePermutation| |indices| |powern| |#| |extendedint| |rdHack1| BY |polyPart| |multisect| |implies| |discriminantEuclidean| |modularGcd| |every?| |univariateSolve| |guessADE| |completeHensel| |checkRur| |basisOfCenter| |quasiRegular| |multiServ| |dec| |cyclicParents| |exprHasLogarithmicWeights| |hitherPlane| |clearCache| |po| |infiniteProduct| |checkPrecision| |coordinate| |divisorCascade| |iFTable| |cycleRagits| |pastel| |fractRadix| |divisor| |leftNorm| |collectUpper| |plus!| |pushuconst| |recoverAfterFail| |typeLists| |rewriteSetByReducingWithParticularGenerators| |getVariableOrder| |collectQuasiMonic| |pointV| |nextPartition| |OMputApp| |nlde| |last| |denominator| |notelem| |select!| |factorSquareFreeByRecursion| |swapRows!| |factorials| |associative?| |endSubProgram| |monicCompleteDecompose| |stoseInvertibleSetsqfreg| |subscript| |outputSpacing| |legendre| |alternative?| |randomLC| |applyRules| |resetNew| |polyRing2UPUP| |allPairsAmong| |Vectorise| |dfRange| |range| |fortranDoubleComplex| |lepol| |setFormula!| |lieAdmissible?| |getOp| |iisech| |unitsColorDefault| |infix| |numberOfMonomials| |pow| |summary| |extractPoint| |binomial| |simplifyPower| |quotValuation| |show| |multiple?| |fi2df| |coshIfCan| |tanintegrate| |LPolynomial| |makeCrit| |createRandomElement| |members| |e02aef| |complementaryBasis| |encode| |lineColorDefault| |anfactor| |scale| |showAll?| |cotIfCan| |quotient| |c02agf| |leastMonomial| |binarySearchTree| |iidprod| |OMencodingSGML| |c02aff| |stoseSquareFreePart| |unit| |cLog| |setVariableOrder| |e02adf| |unary?| |guessPRec| |showAttributes| |anticoord| |ldf2vmf| |c05pbf| |leftDivide| |bivariateSLPEBR| |getCurve| |exptMod| |alphabetic| |compile| |splitNodeOf!| |commutator| |getMatch| |credits| |normalizeAtInfinity| |noKaratsuba| |superscript| |atanIfCan| |kmax| |mainCharacterization| |separant| |htrigs| |e01sef| |drawStyle| |BumInSepFFE| |predicate| |norm| |e01saf| |headReduced?| |point?| |hadamard| |aLinear| |infix?| |e01daf| |generalCoefficient| |bit?| |rewriteIdealWithRemainder| |screenResolution| |e01bhf| |contains?| |numberOfComposites| |evalADE| |numericalOptimization| |tanSum| |e01bgf| |random| |clipParametric| |groebnerFactorize| |ODESolve| |cschIfCan| |principalIdeal| |e01bff| |central?| |element?| |gcdPolynomial| |getMultiplicationMatrix| |rombergo| |e01bef| |edf2df| |rowEchWoZeroLinesWOVectorise| |changeMeasure| |cycleEntry| |nthRoot| |e01baf| |alphanumeric?| |remove| |selectNonFiniteRoutines| |node?| |cyclicGroup| |singularPointsWithRestriction| |e02zaf| |first| |unit?| |wrregime| |mainPrimitivePart| |mvar| |variationOfParameters| |e02gaf| |third| |npcoef| |findOrderOfDivisor| |closedCurve| |cyclicEntries| |printStats!| |hexDigit?| |nonSingularModel| |genericLeftTraceForm| |guessHolo| |removeRoughlyRedundantFactorsInPol| |mapBivariate| |mask| |normalizedDivide| |expandPower| |imagI| |closed?| |showTheSymbolTable| |genericLeftMinimalPolynomial| |arg1| |cosh2sech| |LazardQuotient| |unitVector| |normDeriv2| |assign| |fresnelS| |arg2| |rhs| |plotPolar| |atanhIfCan| |errorKind| |dim| |iiacsch| |internalSubQuasiComponent?| |padicallyExpand| |airyAi| |setMaxPoints| |diagonalProduct| |nthExponent| |assert| |coerceL| |rationalIfCan| |twoFactor| |lazyPseudoRemainder| |outerProduct| |yellow| |iicoth| |removeZero| |root?| |recur| |upDateBranches| |vectorise| |decimal| |sortConstraints| |getDatabase| |constantToUnaryFunction| |overlabel| |prinpolINFO| |firstSubsetGray| |doublyTransitive?| |dom| |linearAssociatedExp| |splitDenominator| |addmod| |intPatternMatch| |sqfree| |zeroSetSplit| |fresnelC| |maximumExponent| |lifting| |asechIfCan| |findCoef| |decreasePrecision| |primPartElseUnitCanonical!| |generateIrredPoly| |solve| |match| |showClipRegion| |plot| |leftRecip| |exQuo| |blowUpWithExcpDiv| |extendedSubResultantGcd| |minimize| |horizConcat| |showIntensityFunctions| |setProperty| |romberg| |accuracyIF| |addMatchRestricted| |log| |karatsubaDivide| ** |symmetricTensors| |remove!| |augment| |const| |objectOf| |removeRedundantFactorsInContents| |tail| |computeCycleLength| |internalSubPolSet?| |pleskenSplit| |putColorInfo| |createMultiplicationTable| |zeroDim?| |invmod| |sinhIfCan| |complexExpand| |setelt| |integralAtInfinity?| |OMgetEndObject| |edf2fi| |BasicMethod| |cyclicEqual?| |subNodeOf?| |monomial2series| |diff| |OMgetVariable| |schwerpunkt| |inverse| |nand| |supRittWu?| |iisqrt3| |boundOfCauchy| |OMconnInDevice| |pdf2ef| |createZechTable| |getEq| |operation| |simplify| |iiAiryAi| |OMputEndError| |split| |distFact| |gradient| |increase| |beauzamyBound| |poisson| |semiSubResultantGcdEuclidean2| |OMgetEndApp| |exactQuotient| |shallowExpand| |lllip| |dihedralGroup| |isobaric?| |check| |lastSubResultantEuclidean| |cTan| |leastPower| |eulerPhi| |outputAsScript| |imaginary| |brillhartIrreducible?| |delete!| |inR?| |nil| |infinite| |arbitraryExponent| |approximate| |complex| |shallowMutable| |canonical| |noetherian| |central| |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation| |unitsKnown| |canonicalUnitNormal| |multiplicativeValuation| |finiteAggregate| |shallowlyMutable| |commutative|) 
\ No newline at end of file
diff -Nru axiom-20110301a/src/share/algebra/dependents.daase/index.kaf axiom-20111101/src/share/algebra/dependents.daase/index.kaf
--- axiom-20110301a/src/share/algebra/dependents.daase/index.kaf	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/dependents.daase/index.kaf	2011-12-01 04:03:16.000000000 +0000
@@ -1,4 +1,4 @@
-76844               (|AbelianGroup&| |FourierSeries| |FreeAbelianGroup| |IndexedDirectProductAbelianGroup| |QuadraticForm|)
+76913               (|AbelianGroup&| |FourierSeries| |FreeAbelianGroup| |IndexedDirectProductAbelianGroup| |QuadraticForm|)
 (|AbelianMonoid&| |CardinalNumber| |EuclideanModularRing| |GradedAlgebra| |GradedAlgebra&| |GradedModule| |GradedModule&| |IndexedDirectProductAbelianMonoid| |ListMonoidOps| |ModularField| |ModularRing| |RecurrenceOperator|)
 (|AbelianMonoidRing&| |FractionFreeFastGaussian|)
 (|AbelianSemiGroup&| |Color| |IncrementingMaps| |PositiveInteger|)
@@ -112,7 +112,7 @@
 (|InnerEvalable&|)
 (|InnerFiniteField|)
 (|Boolean| |DoubleFloat| |ExpressionSolve| |ExpressionSpaceODESolver| |Float| |MakeBinaryCompiledFunction| |MakeFloatCompiledFunction| |MakeFunction| |MakeUnaryCompiledFunction| |OrderedVariableList| |Pi| |PlotFunctions1| |RecurrenceOperator| |Symbol| |TopLevelDrawFunctions|)
-(|AlgebraicIntegrate| |AlgebraicNumber| |BalancedPAdicInteger| |BalancedPAdicRational| |BinaryExpansion| |BoundIntegerRoots| |BrillhartTests| |CartesianTensor| |CartesianTensorFunctions2| |ComplexRootPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |DecimalExpansion| |DefiniteIntegrationTools| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EvaluateCycleIndicators| |ExponentialExpansion| |ExpressionToUnivariatePowerSeries| |FourierSeries| |FreeAbelianGroup| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |GaloisGroupFactorizer| |GenerateUnivariatePowerSeries| |GenusZeroIntegration| |GosperSummationMethod| |Guess| |GuessFinite| |GuessFiniteFunctions| |HeuGcd| |HexadecimalExpansion| |IndexedBits| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InnerAlgebraicNumber| |InnerIndexedTwoDimensionalArray| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InputForm| |IntegerLinearDependence| |IntegerMod| |IntegerRetractions| |IntegrationResult| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |InverseLaplaceTransform| |Kovacic| |LaplaceTransform| |LieExponentials| |LinearOrdinaryDifferentialOperatorFactorizer| |MachineFloat| |ModularDistinctDegreeFactorizer| |MyExpression| |NeitherSparseOrDensePowerSeries| |NonLinearFirstOrderODESolver| |NumberFieldIntegralBasis| |ODEIntegration| |OrderedVariableList| |PAdicInteger| |PAdicIntegerCategory| |PAdicRational| |PAdicRationalConstructor| |Partition| |PatternMatchIntegration| |Pi| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveRatDE| |PrimitiveRatRicDE| |PureAlgebraicIntegration| |PureAlgebraicLODE| |RadixExpansion| |RationalFactorize| |RationalFunctionDefiniteIntegration| |RationalFunctionFactor| |RationalFunctionIntegration| |RationalFunctionSum| |RationalIntegration| |RationalLODE| |RationalRetractions| |RationalRicDE| |RealZeroPackage| |RealZeroPackageQ| |RecurrenceOperator| |SAERationalFunctionAlgFactor| |SExpression| |SimpleAlgebraicExtensionAlgFactor| |SortPackage| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |Symbol| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackage| |TranscendentalRischDE| |TranscendentalRischDESystem| |TrigonometricManipulations| |UnivariateFactorize| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateTaylorSeriesODESolver| |XExponentialPackage|)
+(|AlgebraicIntegrate| |AlgebraicNumber| |BalancedPAdicInteger| |BalancedPAdicRational| |BinaryExpansion| |BoundIntegerRoots| |BrillhartTests| |CartesianTensor| |CartesianTensorFunctions2| |ComplexRootPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |DecimalExpansion| |DefiniteIntegrationTools| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EvaluateCycleIndicators| |ExponentialExpansion| |ExpressionToUnivariatePowerSeries| |FourierSeries| |FreeAbelianGroup| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |GaloisGroupFactorizer| |GenerateUnivariatePowerSeries| |GenusZeroIntegration| |GosperSummationMethod| |Guess| |GuessFinite| |GuessFiniteFunctions| |HeuGcd| |HexadecimalExpansion| |IndexedBits| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InnerAlgebraicNumber| |InnerIndexedTwoDimensionalArray| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InputForm| |IntegerLinearDependence| |IntegerMod| |IntegerRetractions| |IntegrationResult| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |InverseLaplaceTransform| |Kovacic| |LaplaceTransform| |LieExponentials| |LinearOrdinaryDifferentialOperatorFactorizer| |MachineFloat| |ModularDistinctDegreeFactorizer| |MyExpression| |NeitherSparseOrDensePowerSeries| |NonLinearFirstOrderODESolver| |NumberFieldIntegralBasis| |ODEIntegration| |OrderedVariableList| |PAdicInteger| |PAdicIntegerCategory| |PAdicRational| |PAdicRationalConstructor| |Partition| |PatternMatchIntegration| |Pi| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveRatDE| |PrimitiveRatRicDE| |PureAlgebraicIntegration| |PureAlgebraicLODE| |RadixExpansion| |RationalFactorize| |RationalFunctionDefiniteIntegration| |RationalFunctionFactor| |RationalFunctionIntegration| |RationalFunctionSum| |RationalIntegration| |RationalLODE| |RationalRetractions| |RationalRicDE| |RealZeroPackage| |RealZeroPackageQ| |RecurrenceOperator| |SAERationalFunctionAlgFactor| |SExpression| |SimpleAlgebraicExtensionAlgFactor| |SortPackage| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |Symbol| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackage| |TranscendentalRischDE| |TranscendentalRischDESystem| |TrigonometricManipulations| |U32Vector| |UnivariateFactorize| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateTaylorSeriesODESolver| |XExponentialPackage|)
 (|ComplexIntegerSolveLinearPolynomialEquation| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerNumberSystem&| |IntegerPrimesPackage| |IntegerRoots| |MachineInteger| |PatternMatchIntegerNumberSystem| |RomanNumeral| |SingleInteger|)
 (|AlgebraPackage| |AlgebraicFunction| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicallyClosedFunctionSpace| |AlgebraicallyClosedFunctionSpace&| |AssociatedEquations| |CombinatorialFunction| |CommonDenominator| |ComplexTrigonometricManipulations| |DegreeReductionPackage| |DrawNumericHack| |ElementaryFunction| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ExpressionSolve| |ExpressionSpaceODESolver| |Factored| |FactoredFunctionUtilities| |FactoredFunctions| |FactoredFunctions2| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionFunctions2| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GeneralTriangularSet| |GeneralizedMultivariateFactorize| |GenerateUnivariatePowerSeries| |GosperSummationMethod| |Guess| |InfiniteProductCharacteristicZero| |InnerCommonDenominator| |InnerMatrixQuotientFieldFunctions| |InnerPolySum| |InnerTrigonometricManipulations| |IntegralDomain&| |LaurentPolynomial| |LinearDependence| |LinearSystemPolynomialPackage| |LiouvillianFunction| |MPolyCatRationalFunctionFactorizer| |MatrixCommonDenominator| |MultipleMap| |MyExpression| |NewtonInterpolation| |NonLinearSolvePackage| |PatternMatchFunctionSpace| |PatternMatchQuotientFieldCategory| |PiCoercions| |PointsOfFiniteOrder| |PolynomialRoots| |PolynomialSetUtilitiesPackage| |PrecomputedAssociatedEquations| |PseudoRemainderSequence| |QuotientFieldCategory| |QuotientFieldCategory&| |QuotientFieldCategoryFunctions2| |RationalFunction| |RationalFunctionIntegration| |RationalFunctionSum| |RecurrenceOperator| |RetractSolvePackage| |StreamInfiniteProduct| |SubResultantPackage| |SystemSolvePackage| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackageService| |TriangularMatrixOperations| |TriangularSetCategory| |TriangularSetCategory&| |UnivariatePolynomialCommonDenominator| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialDivisionPackage| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeriesWithExponentialSingularity| |WuWenTsunTriangularSet|)
 (|Interval|)
@@ -153,7 +153,7 @@
 (|e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|Octonion| |OctonionCategory&| |OctonionCategoryFunctions2|)
 (|TwoDimensionalArray|)
-(|FlexibleArray| |IndexedFlexibleArray| |IndexedOneDimensionalArray| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |PrimitiveArray|)
+(|FlexibleArray| |IndexedFlexibleArray| |IndexedOneDimensionalArray| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |PrimitiveArray| |U32Vector|)
 (|DoubleFloat| |ExpressionToOpenMath| |Float| |Integer| |SingleInteger| |Symbol|)
 (|AbelianMonoidRing| |AbelianMonoidRing&| |ExponentialOfUnivariatePuiseuxSeries| |FiniteAbelianMonoidRing| |FiniteAbelianMonoidRing&| |FiniteAbelianMonoidRingFunctions2| |IndexedDirectProductOrderedAbelianMonoid| |OrderingFunctions| |PolynomialRing| |PowerSeriesCategory| |PowerSeriesCategory&| |UnivariatePowerSeriesCategory| |UnivariatePowerSeriesCategory&|)
 (|AlgebraicMultFact| |DifferentialPolynomialCategory| |DifferentialPolynomialCategory&| |EuclideanGroebnerBasisPackage| |FactoringUtilities| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralTriangularSet| |GeneralizedMultivariateFactorize| |GosperSummationMethod| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |HomogeneousDirectProduct| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |InnerMultFact| |InnerPolySum| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |LazardSetSolvingPackage| |LeadingCoefDetermination| |LinearSystemPolynomialPackage| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MultFiniteFactorize| |MultivariateFactorize| |MultivariateLifting| |MultivariateSquareFree| |NPCoef| |NonNegativeInteger| |NormalizationPackage| |NormalizedTriangularSetCategory| |OrderedDirectProduct| |ParametricLinearEquations| |PatternMatchPolynomialCategory| |PolynomialCategory| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialCategoryQuotientFunctions| |PolynomialFactorizationByRecursion| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialRoots| |PolynomialSetCategory| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSquareFree| |PushVariables| |QuasiAlgebraicSet| |QuasiComponentPackage| |RecursivePolynomialCategory| |RecursivePolynomialCategory&| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |ResidueRing| |SplitHomogeneousDirectProduct| |SquareFreeNormalizedTriangularSetCategory| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetCategory| |SquareFreeRegularTriangularSetGcdPackage| |SupFractionFactorizer| |TriangularSetCategory| |TriangularSetCategory&| |WeightedPolynomials| |WuWenTsunTriangularSet|)
@@ -163,7 +163,7 @@
 (|SturmHabichtPackage|)
 (|OrderedFreeMonoid| |XPolynomialRing|)
 (|ComplexRootFindingPackage| |ComplexRootPackage| |ExpertSystemToolsPackage1| |FloatingComplexPackage| |FloatingRealPackage| |FunctionSpaceToUnivariatePowerSeries| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |NumericComplexEigenPackage| |NumericRealEigenPackage| |OrderedRing&| |RealClosure| |RealRootCharacterizationCategory| |RealRootCharacterizationCategory&| |RightOpenIntervalRootCharacterization| |SegmentExpansionCategory| |ZeroDimensionalSolvePackage|)
-(|AlgebraicFunction| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicMultFact| |AlgebraicallyClosedFunctionSpace| |AlgebraicallyClosedFunctionSpace&| |ApplyRules| |BasicOperator| |BinarySearchTree| |BinaryTournament| |Boolean| |CardinalNumber| |CombinatorialFunction| |ComplexTrigonometricManipulations| |ConstantLODE| |DataList| |Database| |DeRhamComplex| |DefiniteIntegrationTools| |DegreeReductionPackage| |DifferentialPolynomialCategory| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory| |DifferentialVariableCategory&| |DrawNumericHack| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EuclideanGroebnerBasisPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionFunctions2| 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|IndexedDirectProductAbelianMonoid| |IndexedDirectProductCategory| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |InnerMultFact| |InnerPolySum| |InnerTrigonometricManipulations| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |IntegrationTools| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |InverseLaplaceTransform| |Kernel| |KernelFunctions2| |LaplaceTransform| |LazardSetSolvingPackage| |LeadingCoefDetermination| |LieExponentials| |LiePolynomial| |LinearSystemPolynomialPackage| |LiouvillianFunction| |LyndonWord| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |Magma| |MergeThing| |ModuleMonomial| |MultFiniteFactorize| |MultivariateFactorize| |MultivariateLifting| |MultivariateSquareFree| |MultivariateTaylorSeriesCategory| |MyExpression| |NPCoef| |NewSparseMultivariatePolynomial| |NonLinearFirstOrderODESolver| |NormalizationPackage| |NormalizedTriangularSetCategory| |ODEIntegration| |OrdSetInts| |OrderedFreeMonoid| |OrderedMultisetAggregate| |OrderedSet&| |OrderlyDifferentialVariable| |ParametricLinearEquations| |PatternMatchFunctionSpace| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchPolynomialCategory| |PatternMatchTools| |PiCoercions| |PoincareBirkhoffWittLyndonBasis| |PointsOfFiniteOrder| |PolynomialCategory| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialCategoryQuotientFunctions| |PolynomialFactorizationByRecursion| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialRoots| |PolynomialSetCategory| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSquareFree| |PositiveInteger| |PowerSeriesCategory| |PowerSeriesCategory&| |PowerSeriesLimitPackage| |PriorityQueueAggregate| |PureAlgebraicIntegration| |PushVariables| |QuasiAlgebraicSet| |QuasiComponentPackage| |RadicalSolvePackage| |RationalFunctionDefiniteIntegration| |RationalFunctionSum| |RecurrenceOperator| |RecursivePolynomialCategory| |RecursivePolynomialCategory&| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |ResidueRing| |RewriteRule| |Ruleset| |SequentialDifferentialVariable| |SimpleFortranProgram| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SquareFreeNormalizedTriangularSetCategory| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetCategory| |SquareFreeRegularTriangularSetGcdPackage| |SupFractionFactorizer| |Symbol| |TableauxBumpers| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackage| |TransSolvePackageService| |TranscendentalManipulations| |TriangularSetCategory| |TriangularSetCategory&| |TrigonometricManipulations| |UnivariatePuiseuxSeriesWithExponentialSingularity| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XExponentialPackage| |XFreeAlgebra| |XPBWPolynomial| |XPolynomialsCat| |XRecursivePolynomial|)
+(|AlgebraicFunction| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicMultFact| |AlgebraicallyClosedFunctionSpace| |AlgebraicallyClosedFunctionSpace&| |ApplyRules| |BasicOperator| |BasicStochasticDifferential| |BinarySearchTree| |BinaryTournament| |Boolean| |CardinalNumber| |CombinatorialFunction| |ComplexTrigonometricManipulations| |ConstantLODE| |DataList| |Database| |DeRhamComplex| |DefiniteIntegrationTools| |DegreeReductionPackage| |DifferentialPolynomialCategory| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory| |DifferentialVariableCategory&| |DrawNumericHack| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EuclideanGroebnerBasisPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionFunctions2| |ExpressionSolve| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExtAlgBasis| |FactoringUtilities| |FourierComponent| |FourierSeries| |FreeLieAlgebra| |FreeModule| |FreeModule1| |FunctionSpace| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceAttachPredicates| |FunctionSpaceComplexIntegration| |FunctionSpaceFunctions2| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GeneralModulePolynomial| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralTriangularSet| |GeneralizedMultivariateFactorize| |GenerateUnivariatePowerSeries| |GenusZeroIntegration| |GosperSummationMethod| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |Guess| |Heap| |IndexCard| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductCategory| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |InnerMultFact| |InnerPolySum| |InnerTrigonometricManipulations| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |IntegrationTools| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |InverseLaplaceTransform| |Kernel| |KernelFunctions2| |LaplaceTransform| |LazardSetSolvingPackage| |LeadingCoefDetermination| |LieExponentials| |LiePolynomial| |LinearSystemPolynomialPackage| |LiouvillianFunction| |LyndonWord| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |Magma| |MergeThing| |ModuleMonomial| |MultFiniteFactorize| |MultivariateFactorize| |MultivariateLifting| |MultivariateSquareFree| |MultivariateTaylorSeriesCategory| |MyExpression| |NPCoef| |NewSparseMultivariatePolynomial| |NonLinearFirstOrderODESolver| |NormalizationPackage| |NormalizedTriangularSetCategory| |ODEIntegration| |OrdSetInts| |OrderedFreeMonoid| |OrderedMultisetAggregate| |OrderedSet&| |OrderlyDifferentialVariable| |ParametricLinearEquations| |PatternMatchFunctionSpace| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchPolynomialCategory| |PatternMatchTools| |PiCoercions| |PoincareBirkhoffWittLyndonBasis| |PointsOfFiniteOrder| |PolynomialCategory| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialCategoryQuotientFunctions| |PolynomialFactorizationByRecursion| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialRoots| |PolynomialSetCategory| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSquareFree| |PositiveInteger| |PowerSeriesCategory| |PowerSeriesCategory&| |PowerSeriesLimitPackage| |PriorityQueueAggregate| |PureAlgebraicIntegration| |PushVariables| |QuasiAlgebraicSet| |QuasiComponentPackage| |RadicalSolvePackage| |RationalFunctionDefiniteIntegration| |RationalFunctionSum| |RecurrenceOperator| |RecursivePolynomialCategory| |RecursivePolynomialCategory&| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |ResidueRing| |RewriteRule| |Ruleset| |SequentialDifferentialVariable| |SimpleFortranProgram| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SquareFreeNormalizedTriangularSetCategory| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetCategory| |SquareFreeRegularTriangularSetGcdPackage| |SupFractionFactorizer| |Symbol| |TableauxBumpers| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackage| |TransSolvePackageService| |TranscendentalManipulations| |TriangularSetCategory| |TriangularSetCategory&| |TrigonometricManipulations| |UnivariatePuiseuxSeriesWithExponentialSingularity| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XExponentialPackage| |XFreeAlgebra| |XPBWPolynomial| |XPolynomialsCat| |XRecursivePolynomial|)
 (|AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |DesingTreePackage| |DistributedMultivariatePolynomial| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |HomogeneousDistributedMultivariatePolynomial| |InfinitlyClosePoint| |InfinitlyClosePointCategory| |InterpolateFormsPackage| |IntersectionDivisorPackage| |LocalParametrizationOfSimplePointPackage| |MultivariatePolynomial| |ParametrizationPackage| |ProjectiveAlgebraicSetPackage| |RegularChain|)
 (|OrderlyDifferentialPolynomial|)
 (|d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType|)
@@ -253,7 +253,7 @@
 (|GeneralTriangularSet| |TriangularSetCategory&| |WuWenTsunTriangularSet|)
 (|TrigonometricFunctionCategory&|)
 (|IndexedTwoDimensionalArray| |InnerIndexedTwoDimensionalArray| |TwoDimensionalArray| |TwoDimensionalArrayCategory&|)
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 (|UnaryRecursiveAggregate&|)
 (|ChangeOfVariable| |FunctionFieldCategory| |FunctionFieldCategory&| |FunctionFieldCategoryFunctions2| |RadicalFunctionField| |UniqueFactorizationDomain&|)
 (|UnivariatePuiseuxSeries|)
@@ -273,4 +273,4 @@
 (|CliffordAlgebra| |VectorSpace&|)
 (|XPolynomialRing|)
 (|XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XRecursivePolynomial|)
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\ No newline at end of file
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\ No newline at end of file
diff -Nru axiom-20110301a/src/share/algebra/interp.daase axiom-20111101/src/share/algebra/interp.daase
--- axiom-20110301a/src/share/algebra/interp.daase	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/interp.daase	2011-12-01 04:03:16.000000000 +0000
@@ -1,5215 +1,5227 @@
 
-(3579618 . 3488060061)       
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-NIL 
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-(((-19 |#1|) (-1275) (-1195)) (T -19)) 
-NIL 
-(-13 (-375 |t#1|) (-10 -7 (-6 -4522))) 
-(((-39) . T) ((-105) -2199 (|has| |#1| (-1090)) (|has| |#1| (-842))) ((-608 (-850)) -2199 (|has| |#1| (-1090)) (|has| |#1| (-842))) ((-154 |#1|) . T) ((-609 (-541)) |has| |#1| (-609 (-541))) ((-281 (-568) |#1|) . T) ((-283 (-568) |#1|) . T) ((-303 |#1|) -12 (|has| |#1| (-303 |#1|)) (|has| |#1| (-1090))) ((-375 |#1|) . T) ((-499 |#1|) . T) ((-601 (-568) |#1|) . T) ((-523 |#1| |#1|) -12 (|has| |#1| (-303 |#1|)) (|has| |#1| (-1090))) ((-640 |#1|) . T) ((-842) |has| |#1| (-842)) ((-1090) -2199 (|has| |#1| (-1090)) (|has| |#1| (-842))) ((-1195) . T)) 
-((-2689 (((-3 $ "failed") $ $) 12)) (-1775 (($ $) NIL) (($ $ $) 9)) (* (($ (-917) $) NIL) (($ (-763) $) 16) (($ (-568) $) 21))) 
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-NIL 
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-(((-21) (-1275)) (T -21)) 
-((-1775 (*1 *1 *1) (-4 *1 (-21))) (-1775 (*1 *1 *1 *1) (-4 *1 (-21))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-21)) (-5 *2 (-568))))) 
-(-13 (-137) (-10 -8 (-15 -1775 ($ $)) (-15 -1775 ($ $ $)) (-15 * ($ (-568) $)))) 
-(((-23) . T) ((-25) . T) ((-105) . T) ((-137) . T) ((-608 (-850)) . T) ((-1090) . T)) 
-((-1819 (((-121) $) 10)) (-4490 (($) 15)) (* (($ (-917) $) 14) (($ (-763) $) 18))) 
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-NIL 
-(-10 -8 (-15 * (|#1| (-763) |#1|)) (-15 -1819 ((-121) |#1|)) (-15 -4490 (|#1|)) (-15 * (|#1| (-917) |#1|))) 
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-(((-23) (-1275)) (T -23)) 
-((-3058 (*1 *1) (-4 *1 (-23))) (-4490 (*1 *1) (-4 *1 (-23))) (-1819 (*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-121)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-763))))) 
-(-13 (-25) (-10 -8 (-15 (-3058) ($) -3497) (-15 -4490 ($) -3497) (-15 -1819 ((-121) $)) (-15 * ($ (-763) $)))) 
-(((-25) . T) ((-105) . T) ((-608 (-850)) . T) ((-1090) . T)) 
-((* (($ (-917) $) 10))) 
-(((-24 |#1|) (-10 -8 (-15 * (|#1| (-917) |#1|))) (-25)) (T -24)) 
-NIL 
-(-10 -8 (-15 * (|#1| (-917) |#1|))) 
-((-2449 (((-121) $ $) 7)) (-1893 (((-1143) $) 9)) (-4025 (((-1108) $) 10)) (-2747 (((-850) $) 11)) (-1719 (((-121) $ $) 6)) (-1769 (($ $ $) 13)) (* (($ (-917) $) 12))) 
-(((-25) (-1275)) (T -25)) 
-((-1769 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-917))))) 
-(-13 (-1090) (-10 -8 (-15 -1769 ($ $ $)) (-15 * ($ (-917) $)))) 
-(((-105) . T) ((-608 (-850)) . T) ((-1090) . T)) 
-((-2251 (((-634 $) (-953 $)) 29) (((-634 $) (-1157 $)) 16) (((-634 $) (-1157 $) (-1161)) 20)) (-3505 (($ (-953 $)) 27) (($ (-1157 $)) 11) (($ (-1157 $) (-1161)) 54)) (-1867 (((-634 $) (-953 $)) 30) (((-634 $) (-1157 $)) 18) (((-634 $) (-1157 $) (-1161)) 19)) (-2919 (($ (-953 $)) 28) (($ (-1157 $)) 13) (($ (-1157 $) (-1161)) NIL))) 
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-NIL 
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-(((-27) (-1275)) (T -27)) 
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 NIL 
 (-37 |#1|) 
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 NIL 
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 NIL 
 (-37 |#2|) 
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-NIL 
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-(((-54) (-1090)) (T -54)) 
-NIL 
-(-1090) 
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-NIL 
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-NIL 
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-NIL 
-(((-100) (-1275)) (T -100)) 
-NIL 
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-NIL 
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 NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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(-764))) NIL) (($ $) NIL (|has| |#1| (-226))) (($ $ (-764)) NIL (|has| |#1| (-226))) (($ $ (-1163)) NIL (|has| |#1| (-896 (-1163)))) (($ $ (-635 (-1163))) NIL (|has| |#1| (-896 (-1163)))) (($ $ (-1163) (-764)) NIL (|has| |#1| (-896 (-1163)))) (($ $ (-635 (-1163)) (-635 (-764))) NIL (|has| |#1| (-896 (-1163)))) (($ $ (-1 |#1| |#1|) (-764)) NIL) (($ $ (-1 |#1| |#1|)) NIL)) (-1693 (((-121) $ $) NIL (|has| |#1| (-843)))) (-1684 (((-121) $ $) NIL (|has| |#1| (-843)))) (-1668 (((-121) $ $) NIL)) (-1688 (((-121) $ $) NIL (|has| |#1| (-843)))) (-1678 (((-121) $ $) NIL (|has| |#1| (-843)))) (-1715 (($ $ |#1|) NIL (|has| |#1| (-366)))) (-1711 (($ $) NIL) (($ $ $) NIL)) (-1707 (($ $ $) NIL)) (** (($ $ (-918)) NIL) (($ $ (-764)) NIL)) (* (($ (-918) $) NIL) (($ (-764) $) NIL) (($ (-569) $) NIL) (($ $ $) NIL) (($ $ (-410 (-569))) NIL (|has| |#1| (-43 (-410 (-569))))) (($ (-410 (-569)) $) NIL (|has| |#1| (-43 (-410 (-569))))) (($ |#1| $) NIL) (($ $ |#1|) NIL))) 
+(((-258 |#1| |#2| |#3|) (-13 (-247 |#1| |#2| |#3| (-535 |#3|)) (-1038 (-1114 |#1| |#2|))) (-1048) (-843) (-263 |#2|)) (T -258)) 
+NIL 
+(-13 (-247 |#1| |#2| |#3| (-535 |#3|)) (-1038 (-1114 |#1| |#2|))) 
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+(((-259 |#1|) (-1278) (-1091)) (T -259)) 
+((-2943 (*1 *1 *2 *3) (-12 (-5 *3 (-635 *1)) (-4 *1 (-259 *2)) (-4 *2 (-1091)))) (-2943 (*1 *1 *2) (-12 (-4 *1 (-259 *2)) (-4 *2 (-1091)))) (-2943 (*1 *1 *2) (-12 (-5 *2 (-635 *3)) (-4 *3 (-1091)) (-4 *1 (-259 *3))))) 
+(-13 (-1011 |t#1|) (-10 -8 (-6 -4536) (-6 -4535) (-15 -2943 ($ |t#1| (-635 $))) (-15 -2943 ($ |t#1|)) (-15 -2943 ($ (-635 |t#1|))))) 
+(((-39) . T) ((-105) |has| |#1| (-1091)) ((-609 (-851)) |has| |#1| (-1091)) ((-304 |#1|) -12 (|has| |#1| (-304 |#1|)) (|has| |#1| (-1091))) ((-500 |#1|) . T) ((-524 |#1| |#1|) -12 (|has| |#1| (-304 |#1|)) (|has| |#1| (-1091))) ((-1011 |#1|) . T) ((-1091) |has| |#1| (-1091)) ((-1197) . T)) 
+((-2568 (((-121) $ $) NIL (|has| |#1| (-1091)))) (-2247 ((|#1| $) 12)) (-2943 (($ |#1| (-635 $)) 31) (($ |#1|) 32) (($ (-635 |#1|)) 33)) (-1691 (((-121) $ (-764)) NIL)) (-3891 ((|#1| $ |#1|) 35 (|has| $ (-6 -4536)))) (-4469 ((|#1| $ "value" |#1|) NIL (|has| $ (-6 -4536)))) (-3725 (($ $ (-635 $)) 34 (|has| $ (-6 -4536)))) (-2820 (($) NIL T CONST)) (-3470 (((-635 |#1|) $) NIL (|has| $ (-6 -4535)))) (-4032 (((-635 $) $) NIL)) (-4349 (((-121) $ $) NIL (|has| |#1| (-1091)))) (-1974 (((-121) $ (-764)) NIL)) (-4259 (((-635 |#1|) $) NIL (|has| $ (-6 -4535)))) (-3660 (((-121) |#1| $) NIL (-12 (|has| $ (-6 -4535)) (|has| |#1| (-1091))))) (-1853 (($ (-1 |#1| |#1|) $) NIL (|has| $ (-6 -4536)))) (-1544 (($ (-1 |#1| |#1|) $) NIL)) (-2006 (((-121) $ (-764)) NIL)) (-2824 (((-635 |#1|) $) 22)) (-3486 (((-121) $) NIL)) (-2776 (((-1145) $) NIL (|has| |#1| (-1091)))) (-3360 (((-1109) $) NIL (|has| |#1| (-1091)))) (-2401 (((-121) (-121)) 18) (((-121)) 19)) (-3126 (((-851) $) 15)) (-4177 (((-121) (-1 (-121) |#1|) $) NIL (|has| $ (-6 -4535)))) (-1468 (($ $ (-635 (-289 |#1|))) NIL (-12 (|has| |#1| (-304 |#1|)) (|has| |#1| (-1091)))) (($ $ (-289 |#1|)) NIL (-12 (|has| |#1| (-304 |#1|)) (|has| |#1| (-1091)))) (($ $ |#1| |#1|) NIL (-12 (|has| |#1| (-304 |#1|)) (|has| |#1| (-1091)))) (($ $ (-635 |#1|) (-635 |#1|)) NIL (-12 (|has| |#1| (-304 |#1|)) (|has| |#1| (-1091))))) (-3137 (((-121) $ $) NIL)) (-4262 (((-1145) $) 28)) (-1601 (((-121) $) NIL)) (-1296 (($) NIL)) (-1534 ((|#1| $ "value") NIL)) (-1686 (((-569) $ $) NIL)) (-1472 (((-121) $) NIL)) (-2846 (((-764) (-1 (-121) |#1|) $) NIL (|has| $ (-6 -4535))) (((-764) |#1| $) NIL (-12 (|has| $ (-6 -4535)) (|has| |#1| (-1091))))) (-1971 (($ $) NIL)) (-2185 (((-851) $) 30 (|has| |#1| (-1091)))) (-4114 (((-635 $) $) 8)) (-2447 (((-121) $ $) NIL (|has| |#1| (-1091)))) (-2066 (((-121) (-1 (-121) |#1|) $) NIL (|has| $ (-6 -4535)))) (-1668 (((-121) $ $) 26 (|has| |#1| (-1091)))) (-4168 (((-764) $) NIL (|has| $ (-6 -4535))))) 
+(((-260 |#1|) (-13 (-259 |#1|) (-10 -8 (-15 -4262 ((-1145) $)) (-15 -3126 ((-851) $)) (-15 -2401 ((-121) (-121))) (-15 -2401 ((-121))))) (-1091)) (T -260)) 
+((-4262 (*1 *2 *1) (-12 (-5 *2 (-1145)) (-5 *1 (-260 *3)) (-4 *3 (-1091)))) (-3126 (*1 *2 *1) (-12 (-5 *2 (-851)) (-5 *1 (-260 *3)) (-4 *3 (-1091)))) (-2401 (*1 *2 *2) (-12 (-5 *2 (-121)) (-5 *1 (-260 *3)) (-4 *3 (-1091)))) (-2401 (*1 *2) (-12 (-5 *2 (-121)) (-5 *1 (-260 *3)) (-4 *3 (-1091))))) 
+(-13 (-259 |#1|) (-10 -8 (-15 -4262 ((-1145) $)) (-15 -3126 ((-851) $)) (-15 -2401 ((-121) (-121))) (-15 -2401 ((-121))))) 
+((-3939 (((-1252) |#10| (-635 |#3|)) 133) (((-1252) |#10|) 135)) (-1771 (((-1252) |#10|) NIL)) (-1453 ((|#8| |#10|) 28)) (-2966 (((-569) (-764) (-635 |#10|)) 147)) (-1368 (((-764) (-764) (-635 |#10|)) 145)) (-3342 (((-569) |#3|) 148)) (-3950 (((-764) |#3|) 146)) (-3218 (((-1252) |#10|) 136)) (-3868 ((|#8| |#3| |#10|) 111)) (-2054 ((|#10| |#5| |#3|) 138)) (-1844 (((-635 |#10|) |#3|) 144)) (-4441 (((-1252) |#10|) 134)) (-3644 (((-635 |#9|) |#9|) 87)) (-2209 ((|#8| |#10|) 110))) 
+(((-261 |#1| |#2| |#3| |#4| |#5| |#6| |#7| |#8| |#9| |#10| |#11|) (-10 -7 (-15 -3644 ((-635 |#9|) |#9|)) (-15 -3868 (|#8| |#3| |#10|)) (-15 -2209 (|#8| |#10|)) (-15 -4441 ((-1252) |#10|)) (-15 -2054 (|#10| |#5| |#3|)) (-15 -1844 ((-635 |#10|) |#3|)) (-15 -3218 ((-1252) |#10|)) (-15 -1771 ((-1252) |#10|)) (-15 -3939 ((-1252) |#10|)) (-15 -3939 ((-1252) |#10| (-635 |#3|))) (-15 -3950 ((-764) |#3|)) (-15 -3342 ((-569) |#3|)) (-15 -1368 ((-764) (-764) (-635 |#10|))) (-15 -1453 (|#8| |#10|)) (-15 -2966 ((-569) (-764) (-635 |#10|)))) (-366) (-635 (-1163)) (-951 |#1| |#4| (-853 |#2|)) (-231 (-4168 |#2|) (-764)) (-972 |#1|) (-642 |#1|) (-921 |#1| |#6|) (-236 |#7|) (-537 |#1| |#2| |#3| |#4| |#5| |#6| |#7| |#8| |#11|) (-259 |#9|) (-117)) (T -261)) 
+((-2966 (*1 *2 *3 *4) (-12 (-5 *4 (-635 *14)) (-4 *14 (-259 *13)) (-4 *13 (-537 *5 *6 *7 *8 *9 *10 *11 *12 *15)) (-4 *15 (-117)) (-4 *5 (-366)) (-14 *6 (-635 (-1163))) (-4 *7 (-951 *5 *8 (-853 *6))) (-4 *8 (-231 (-4168 *6) *3)) (-4 *9 (-972 *5)) (-4 *10 (-642 *5)) (-4 *11 (-921 *5 *10)) (-4 *12 (-236 *11)) (-5 *3 (-764)) (-5 *2 (-569)) (-5 *1 (-261 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14 *15)))) (-1453 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-537 *4 *5 *6 *7 *8 *9 *10 *2 *12)) (-4 *12 (-117)) (-4 *2 (-236 *10)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *2 *11 *3 *12)) (-4 *3 (-259 *11)))) (-1368 (*1 *2 *2 *3) (-12 (-5 *3 (-635 *13)) (-4 *13 (-259 *12)) (-4 *12 (-537 *4 *5 *6 *7 *8 *9 *10 *11 *14)) (-4 *14 (-117)) (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) *2)) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-236 *10)) (-5 *2 (-764)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *11 *12 *13 *14)))) (-3342 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *3 (-951 *4 *6 (-853 *5))) (-4 *6 (-231 (-4168 *5) (-764))) (-4 *7 (-972 *4)) (-4 *8 (-642 *4)) (-4 *9 (-921 *4 *8)) (-4 *10 (-236 *9)) (-4 *11 (-537 *4 *5 *3 *6 *7 *8 *9 *10 *13)) (-4 *13 (-117)) (-5 *2 (-569)) (-5 *1 (-261 *4 *5 *3 *6 *7 *8 *9 *10 *11 *12 *13)) (-4 *12 (-259 *11)))) (-3950 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *3 (-951 *4 *6 (-853 *5))) (-4 *6 (-231 (-4168 *5) *2)) (-4 *7 (-972 *4)) (-4 *8 (-642 *4)) (-4 *9 (-921 *4 *8)) (-4 *10 (-236 *9)) (-4 *11 (-537 *4 *5 *3 *6 *7 *8 *9 *10 *13)) (-4 *13 (-117)) (-5 *2 (-764)) (-5 *1 (-261 *4 *5 *3 *6 *7 *8 *9 *10 *11 *12 *13)) (-4 *12 (-259 *11)))) (-3939 (*1 *2 *3 *4) (-12 (-5 *4 (-635 *7)) (-4 *7 (-951 *5 *8 (-853 *6))) (-4 *8 (-231 (-4168 *6) (-764))) (-4 *5 (-366)) (-14 *6 (-635 (-1163))) (-4 *9 (-972 *5)) (-4 *10 (-642 *5)) (-4 *11 (-921 *5 *10)) (-4 *12 (-236 *11)) (-4 *13 (-537 *5 *6 *7 *8 *9 *10 *11 *12 *14)) (-4 *14 (-117)) (-5 *2 (-1252)) (-5 *1 (-261 *5 *6 *7 *8 *9 *10 *11 *12 *13 *3 *14)) (-4 *3 (-259 *13)))) (-3939 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-236 *10)) (-4 *12 (-537 *4 *5 *6 *7 *8 *9 *10 *11 *13)) (-4 *13 (-117)) (-5 *2 (-1252)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (-4 *3 (-259 *12)))) (-1771 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-236 *10)) (-4 *12 (-537 *4 *5 *6 *7 *8 *9 *10 *11 *13)) (-4 *13 (-117)) (-5 *2 (-1252)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (-4 *3 (-259 *12)))) (-3218 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-236 *10)) (-4 *12 (-537 *4 *5 *6 *7 *8 *9 *10 *11 *13)) (-4 *13 (-117)) (-5 *2 (-1252)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (-4 *3 (-259 *12)))) (-1844 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *3 (-951 *4 *6 (-853 *5))) (-4 *6 (-231 (-4168 *5) (-764))) (-4 *7 (-972 *4)) (-4 *8 (-642 *4)) (-4 *9 (-921 *4 *8)) (-4 *10 (-236 *9)) (-4 *11 (-537 *4 *5 *3 *6 *7 *8 *9 *10 *13)) (-4 *13 (-117)) (-5 *2 (-635 *12)) (-5 *1 (-261 *4 *5 *3 *6 *7 *8 *9 *10 *11 *12 *13)) (-4 *12 (-259 *11)))) (-2054 (*1 *2 *3 *4) (-12 (-4 *5 (-366)) (-14 *6 (-635 (-1163))) (-4 *4 (-951 *5 *7 (-853 *6))) (-4 *7 (-231 (-4168 *6) (-764))) (-4 *3 (-972 *5)) (-4 *8 (-642 *5)) (-4 *9 (-921 *5 *8)) (-4 *10 (-236 *9)) (-4 *12 (-117)) (-4 *2 (-259 *11)) (-5 *1 (-261 *5 *6 *4 *7 *3 *8 *9 *10 *11 *2 *12)) (-4 *11 (-537 *5 *6 *4 *7 *3 *8 *9 *10 *12)))) (-4441 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-236 *10)) (-4 *12 (-537 *4 *5 *6 *7 *8 *9 *10 *11 *13)) (-4 *13 (-117)) (-5 *2 (-1252)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *11 *12 *3 *13)) (-4 *3 (-259 *12)))) (-2209 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-537 *4 *5 *6 *7 *8 *9 *10 *2 *12)) (-4 *12 (-117)) (-4 *2 (-236 *10)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *2 *11 *3 *12)) (-4 *3 (-259 *11)))) (-3868 (*1 *2 *3 *4) (-12 (-4 *5 (-366)) (-14 *6 (-635 (-1163))) (-4 *3 (-951 *5 *7 (-853 *6))) (-4 *7 (-231 (-4168 *6) (-764))) (-4 *8 (-972 *5)) (-4 *9 (-642 *5)) (-4 *10 (-921 *5 *9)) (-4 *11 (-537 *5 *6 *3 *7 *8 *9 *10 *2 *12)) (-4 *12 (-117)) (-4 *2 (-236 *10)) (-5 *1 (-261 *5 *6 *3 *7 *8 *9 *10 *2 *11 *4 *12)) (-4 *4 (-259 *11)))) (-3644 (*1 *2 *3) (-12 (-4 *4 (-366)) (-14 *5 (-635 (-1163))) (-4 *6 (-951 *4 *7 (-853 *5))) (-4 *7 (-231 (-4168 *5) (-764))) (-4 *8 (-972 *4)) (-4 *9 (-642 *4)) (-4 *10 (-921 *4 *9)) (-4 *11 (-236 *10)) (-4 *3 (-537 *4 *5 *6 *7 *8 *9 *10 *11 *13)) (-4 *13 (-117)) (-5 *2 (-635 *3)) (-5 *1 (-261 *4 *5 *6 *7 *8 *9 *10 *11 *3 *12 *13)) (-4 *12 (-259 *3))))) 
+(-10 -7 (-15 -3644 ((-635 |#9|) |#9|)) (-15 -3868 (|#8| |#3| |#10|)) (-15 -2209 (|#8| |#10|)) (-15 -4441 ((-1252) |#10|)) (-15 -2054 (|#10| |#5| |#3|)) (-15 -1844 ((-635 |#10|) |#3|)) (-15 -3218 ((-1252) |#10|)) (-15 -1771 ((-1252) |#10|)) (-15 -3939 ((-1252) |#10|)) (-15 -3939 ((-1252) |#10| (-635 |#3|))) (-15 -3950 ((-764) |#3|)) (-15 -3342 ((-569) |#3|)) (-15 -1368 ((-764) (-764) (-635 |#10|))) (-15 -1453 (|#8| |#10|)) (-15 -2966 ((-569) (-764) (-635 |#10|)))) 
+((-2496 (((-764) $) 30)) (-1647 (((-3 |#2| "failed") $) 17)) (-2428 ((|#2| $) 27)) (-3899 (($ $) 12) (($ $ (-764)) 15)) (-2185 (((-851) $) 26) (($ |#2|) 10)) (-1668 (((-121) $ $) 20)) (-1678 (((-121) $ $) 29))) 
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+NIL 
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 NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-(((-21) . T) ((-23) . T) ((-52 |#1| |#2|) . T) ((-25) . T) ((-43 (-409 (-568))) |has| |#1| (-43 (-409 (-568)))) ((-43 |#1|) |has| |#1| (-172)) ((-43 $) |has| |#1| (-558)) ((-105) . T) ((-120 (-409 (-568)) (-409 (-568))) |has| |#1| (-43 (-409 (-568)))) ((-120 |#1| |#1|) . T) ((-120 $ $) -2199 (|has| |#1| (-558)) (|has| |#1| (-172))) ((-137) . T) ((-148) |has| |#1| (-148)) ((-150) |has| |#1| (-150)) ((-608 (-850)) . T) ((-172) -2199 (|has| |#1| (-558)) (|has| |#1| (-172))) ((-285) |has| |#1| (-558)) ((-413 |#1|) . T) ((-558) |has| |#1| (-558)) ((-637 (-409 (-568))) |has| |#1| (-43 (-409 (-568)))) ((-637 |#1|) . T) ((-637 $) . T) ((-707 (-409 (-568))) |has| |#1| (-43 (-409 (-568)))) ((-707 |#1|) |has| |#1| (-172)) ((-707 $) |has| |#1| (-558)) ((-716) . T) ((-1037 (-409 (-568))) |has| |#1| (-1037 (-409 (-568)))) ((-1037 (-568)) |has| |#1| (-1037 (-568))) ((-1037 |#1|) . T) ((-1053 (-409 (-568))) |has| |#1| (-43 (-409 (-568)))) ((-1053 |#1|) . T) ((-1053 $) -2199 (|has| |#1| (-558)) (|has| |#1| (-172))) ((-1047) . T) ((-1054) . T) ((-1102) . T) ((-1090) . T)) 
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-((-1697 (*1 *1 *2) (-12 (-5 *2 (-634 *3)) (-4 *3 (-1195)) (-5 *1 (-325 *3)))) (-2906 (*1 *2 *1) (-12 (-5 *2 (-763)) (-5 *1 (-325 *3)) (-4 *3 (-1195)))) (-3400 (*1 *1 *1 *2) (-12 (-5 *2 (-568)) (-5 *1 (-325 *3)) (-4 *3 (-1195)))) (-4161 (*1 *2 *2) (-12 (-5 *2 (-121)) (-5 *1 (-325 *3)) (-4 *3 (-1195))))) 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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+(((-23) . T) ((-25) . T) ((-105) . T) ((-138) . T) ((-609 (-851)) . T) ((-1038 |#1|) . T) ((-1091) . T)) 
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+NIL 
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+NIL 
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+NIL 
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+NIL 
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 NIL 
 (-19 |#1|) 
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 NIL 
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-NIL 
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 NIL 
 (-62 |#1| |#4| |#5|) 
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 NIL 
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(-216)) (|:| |relerr| (-216)))) (|:| -3782 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1143 (-216))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -4235 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) (-5 *1 (-564)))) (-3346 (*1 *1 *2) (-12 (-5 *2 (-635 (-2 (|:| -2335 (-2 (|:| |var| (-1163)) (|:| |fn| (-311 (-216))) (|:| -4235 (-1085 (-836 (-216)))) (|:| |abserr| (-216)) (|:| |relerr| (-216)))) (|:| 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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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+NIL 
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 NIL 
 (-13 (-120 |t#1| |t#1|)) 
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-NIL 
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-NIL 
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-(((-815) (-1275)) (T -815)) 
-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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-NIL 
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+(((-715 |#1| |#2|) (-1278) (-173) (-1222 |t#1|)) (T -715)) 
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+NIL 
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-NIL 
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-NIL 
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-(((-1092 |#1|) (-427 |#1|) (-1090)) (T -1092)) 
-NIL 
-(-427 |#1|) 
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-(((-1094) (-1093 (-1143) (-1161) (-568) (-215) (-850))) (T -1094)) 
-NIL 
-(-1093 (-1143) (-1161) (-568) (-215) (-850)) 
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-NIL 
-(-1093 |#1| |#2| |#3| |#4| |#5|) 
-((-4130 (((-1249) $) 23)) (-3222 (($ (-1161) (-436) |#2|) 11)) (-2747 (((-850) $) 16))) 
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-((-3222 (*1 *1 *2 *3 *4) (-12 (-5 *2 (-1161)) (-5 *3 (-436)) (-4 *5 (-842)) (-5 *1 (-1096 *5 *4)) (-4 *4 (-432 *5))))) 
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-NIL 
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-NIL 
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-NIL 
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+NIL 
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+(((-1095) (-1094 (-1145) (-1163) (-569) (-216) (-851))) (T -1095)) 
+NIL 
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+NIL 
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+NIL 
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+(((-1122 |#1|) (-1123 |#1|) (-1048)) (T -1122)) 
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NIL (-12 (|has| (-1076) (-610 (-888 (-569)))) (|has| |#2| (-610 (-888 (-569)))))) (((-542) $) NIL (-12 (|has| (-1076) (-610 (-542))) (|has| |#2| (-610 (-542)))))) (-3298 ((|#2| $) NIL (|has| |#2| (-454))) (($ $ (-1076)) NIL (|has| |#2| (-454)))) (-2132 (((-3 (-1247 $) "failed") (-680 $)) NIL (-12 (|has| $ (-149)) (|has| |#2| (-905))))) (-4091 (((-3 $ "failed") $ $) NIL (|has| |#2| (-559))) (((-3 (-410 $) "failed") (-410 $) $) NIL (|has| |#2| (-559)))) (-2185 (((-851) $) 13) (($ (-569)) NIL) (($ |#2|) NIL) (($ (-1076)) NIL) (($ (-1243 |#1|)) 19) (($ (-410 (-569))) NIL (-2232 (|has| |#2| (-43 (-410 (-569)))) (|has| |#2| (-1038 (-410 (-569)))))) (($ $) NIL (|has| |#2| (-559)))) (-3382 (((-635 |#2|) $) NIL)) (-1653 ((|#2| $ (-764)) NIL) (($ $ (-1076) (-764)) NIL) (($ $ (-635 (-1076)) (-635 (-764))) NIL)) (-3953 (((-3 $ "failed") $) NIL (-2232 (-12 (|has| $ (-149)) (|has| |#2| (-905))) (|has| |#2| (-149))))) (-1991 (((-764)) NIL)) (-4086 (($ $ $ (-764)) NIL (|has| |#2| (-173)))) (-1961 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(($ $ $) NIL) (($ $ (-410 (-569))) NIL (|has| |#2| (-43 (-410 (-569))))) (($ (-410 (-569)) $) NIL (|has| |#2| (-43 (-410 (-569))))) (($ |#2| $) NIL) (($ $ |#2|) NIL))) 
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+((-1544 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-1048)) (-4 *6 (-1048)) (-4 *2 (-1222 *6)) (-5 *1 (-1220 *5 *4 *6 *2)) (-4 *4 (-1222 *5))))) 
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+NIL 
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+(-10 -7 (-15 -2762 ((-635 (-1045 |#1| |#2|)) (-635 (-954 |#1|)) (-121) (-121))) (-15 -2762 ((-635 (-1045 |#1| |#2|)) (-635 (-954 |#1|)) (-121))) (-15 -2762 ((-635 (-1045 |#1| |#2|)) (-635 (-954 |#1|)))) (-15 -4178 ((-635 (-2 (|:| -3807 (-1159 |#1|)) (|:| -1648 (-635 (-954 |#1|))))) (-1045 |#1| |#2|))) (-15 -4178 ((-635 (-2 (|:| -3807 (-1159 |#1|)) (|:| -1648 (-635 (-954 |#1|))))) (-635 (-954 |#1|)) (-121) (-121) (-121))) (-15 -4178 ((-635 (-2 (|:| -3807 (-1159 |#1|)) (|:| -1648 (-635 (-954 |#1|))))) (-635 (-954 |#1|)) (-121) (-121))) (-15 -4178 ((-635 (-2 (|:| -3807 (-1159 |#1|)) (|:| -1648 (-635 (-954 |#1|))))) (-635 (-954 |#1|)) (-121))) (-15 -4178 ((-635 (-2 (|:| -3807 (-1159 |#1|)) (|:| -1648 (-635 (-954 |#1|))))) (-635 (-954 |#1|)))) (-15 -3492 ((-635 (-635 (-1024 (-410 |#1|)))) (-1045 |#1| |#2|))) (-15 -3492 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)) (-121) (-121) (-121))) (-15 -3492 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)) (-121) (-121))) (-15 -3492 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)) (-121))) (-15 -3492 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)))) (-15 -2662 ((-635 (-635 (-1024 (-410 |#1|)))) (-1045 |#1| |#2|))) (-15 -2662 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)) (-121) (-121))) (-15 -2662 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)) (-121))) (-15 -2662 ((-635 (-635 (-1024 (-410 |#1|)))) (-635 (-954 |#1|)))) (-15 -2446 ((-635 (-1132 |#1| (-535 (-853 |#3|)) (-853 |#3|) (-776 |#1| (-853 |#3|)))) (-1045 |#1| |#2|))) (-15 -3817 ((-776 |#1| (-853 |#3|)) (-776 |#1| (-853 |#2|)))) (-15 -3817 ((-954 (-1024 (-410 |#1|))) (-954 |#1|))) (-15 -3817 ((-954 (-1024 (-410 |#1|))) (-776 |#1| (-853 |#3|)))) (-15 -3817 ((-1159 (-1024 (-410 |#1|))) (-1159 |#1|))) (-15 -3817 ((-635 (-776 |#1| (-853 |#3|))) (-1132 |#1| (-535 (-853 |#3|)) (-853 |#3|) (-776 |#1| (-853 |#3|)))))) 
+((-4018 (((-3 (-1247 (-410 (-569))) "failed") (-1247 |#1|) |#1|) 17)) (-1972 (((-121) (-1247 |#1|)) 11)) (-3121 (((-3 (-1247 (-569)) "failed") (-1247 |#1|)) 14))) 
+(((-1272 |#1|) (-10 -7 (-15 -1972 ((-121) (-1247 |#1|))) (-15 -3121 ((-3 (-1247 (-569)) "failed") (-1247 |#1|))) (-15 -4018 ((-3 (-1247 (-410 (-569))) "failed") (-1247 |#1|) |#1|))) (-631 (-569))) (T -1272)) 
+((-4018 (*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1247 *4)) (-4 *4 (-631 (-569))) (-5 *2 (-1247 (-410 (-569)))) (-5 *1 (-1272 *4)))) (-3121 (*1 *2 *3) (|partial| -12 (-5 *3 (-1247 *4)) (-4 *4 (-631 (-569))) (-5 *2 (-1247 (-569))) (-5 *1 (-1272 *4)))) (-1972 (*1 *2 *3) (-12 (-5 *3 (-1247 *4)) (-4 *4 (-631 (-569))) (-5 *2 (-121)) (-5 *1 (-1272 *4))))) 
+(-10 -7 (-15 -1972 ((-121) (-1247 |#1|))) (-15 -3121 ((-3 (-1247 (-569)) "failed") (-1247 |#1|))) (-15 -4018 ((-3 (-1247 (-410 (-569))) "failed") (-1247 |#1|) |#1|))) 
+((-2568 (((-121) $ $) NIL)) (-3813 (((-121) $) 11)) (-2327 (((-3 $ "failed") $ $) NIL)) (-2085 (((-764)) 8)) (-2820 (($) NIL T CONST)) (-3428 (((-3 $ "failed") $) 43)) (-4327 (($) 36)) (-1407 (((-121) $) NIL)) (-3846 (((-3 $ "failed") $) 29)) (-2083 (((-918) $) 15)) (-2776 (((-1145) $) NIL)) (-4043 (($) 25 T CONST)) (-3998 (($ (-918)) 37)) (-3360 (((-1109) $) NIL)) (-3817 (((-569) $) 13)) (-2185 (((-851) $) 22) (($ (-569)) 19)) (-1991 (((-764)) 9)) (-2427 (($ $ (-918)) NIL) (($ $ (-764)) NIL)) (-3369 (($) 23 T CONST)) (-1556 (($) 24 T CONST)) (-1668 (((-121) $ $) 27)) (-1711 (($ $) 38) (($ $ $) 35)) (-1707 (($ $ $) 26)) (** (($ $ (-918)) NIL) (($ $ (-764)) 40)) (* (($ (-918) $) NIL) (($ (-764) $) NIL) (($ (-569) $) 32) (($ $ $) 31))) 
+(((-1273 |#1|) (-13 (-173) (-371) (-610 (-569)) (-1137)) (-918)) (T -1273)) 
+NIL 
+(-13 (-173) (-371) (-610 (-569)) (-1137)) 
 NIL 
 NIL 
 NIL 
@@ -5225,4 +5237,4 @@
 NIL 
 NIL 
 NIL 
-((-1275 3579603 3579608 3579613 "NIL" NIL T NIL (NIL) NIL NIL NIL) (-3 3579588 3579593 3579598 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-2 3579573 3579578 3579583 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-1 3579558 3579563 3579568 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (0 3579543 3579548 3579553 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-1270 3578673 3579418 3579495 "ZMOD" 3579500 NIL ZMOD (NIL NIL) -8 NIL NIL) (-1269 3577783 3577947 3578156 "ZLINDEP" 3578505 NIL ZLINDEP (NIL T) -7 NIL NIL) (-1268 3567087 3568851 3570823 "ZDSOLVE" 3575913 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL) (-1267 3566333 3566474 3566663 "YSTREAM" 3566933 NIL YSTREAM (NIL T) -7 NIL NIL) (-1266 3564098 3565634 3565838 "XRPOLY" 3566176 NIL XRPOLY (NIL T T) -8 NIL NIL) (-1265 3560552 3561881 3562461 "XPR" 3563565 NIL XPR (NIL T T) -8 NIL NIL) (-1264 3558262 3559883 3560087 "XPOLY" 3560383 NIL XPOLY (NIL T) -8 NIL NIL) (-1263 3556066 3557444 3557500 "XPOLYC" 3557788 NIL XPOLYC (NIL T T) -9 NIL 3557901) (-1262 3552440 3554585 3554972 "XPBWPOLY" 3555725 NIL XPBWPOLY (NIL T T) -8 NIL NIL) (-1261 3548318 3550628 3550671 "XF" 3551292 NIL XF (NIL T) -9 NIL 3551689) (-1260 3547939 3548027 3548196 "XF-" 3548201 NIL XF- (NIL T T) -8 NIL NIL) (-1259 3543288 3544587 3544643 "XFALG" 3546815 NIL XFALG (NIL T T) -9 NIL 3547602) (-1258 3542421 3542525 3542730 "XEXPPKG" 3543180 NIL XEXPPKG (NIL T T T) -7 NIL NIL) (-1257 3540518 3542271 3542367 "XDPOLY" 3542372 NIL XDPOLY (NIL T T) -8 NIL NIL) (-1256 3539390 3540000 3540044 "XALG" 3540107 NIL XALG (NIL T) -9 NIL 3540226) (-1255 3532859 3537367 3537861 "WUTSET" 3538982 NIL WUTSET (NIL T T T T) -8 NIL NIL) (-1254 3530668 3531475 3531826 "WP" 3532642 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL) (-1253 3529554 3529752 3530047 "WFFINTBS" 3530465 NIL WFFINTBS (NIL T T T T) -7 NIL NIL) (-1252 3527458 3527885 3528347 "WEIER" 3529126 NIL WEIER (NIL T) -7 NIL NIL) (-1251 3526604 3527028 3527071 "VSPACE" 3527207 NIL VSPACE (NIL T) -9 NIL 3527281) (-1250 3526442 3526469 3526560 "VSPACE-" 3526565 NIL VSPACE- (NIL T T) -8 NIL NIL) (-1249 3526188 3526231 3526302 "VOID" 3526393 T VOID (NIL) -8 NIL NIL) (-1248 3524324 3524683 3525089 "VIEW" 3525804 T VIEW (NIL) -7 NIL NIL) (-1247 3520749 3521387 3522124 "VIEWDEF" 3523609 T VIEWDEF (NIL) -7 NIL NIL) (-1246 3510088 3512297 3514470 "VIEW3D" 3518598 T VIEW3D (NIL) -8 NIL NIL) (-1245 3502370 3503999 3505578 "VIEW2D" 3508531 T VIEW2D (NIL) -8 NIL NIL) (-1244 3497778 3502140 3502232 "VECTOR" 3502313 NIL VECTOR (NIL T) -8 NIL NIL) (-1243 3496355 3496614 3496932 "VECTOR2" 3497508 NIL VECTOR2 (NIL T T) -7 NIL NIL) (-1242 3489920 3494166 3494210 "VECTCAT" 3495205 NIL VECTCAT (NIL T) -9 NIL 3495785) (-1241 3488934 3489188 3489578 "VECTCAT-" 3489583 NIL VECTCAT- (NIL T T) -8 NIL NIL) (-1240 3488415 3488585 3488705 "VARIABLE" 3488849 NIL VARIABLE (NIL NIL) -8 NIL NIL) (-1239 3480457 3486248 3486726 "UTSZ" 3487985 NIL UTSZ (NIL T NIL) -8 NIL NIL) (-1238 3480063 3480113 3480247 "UTSSOL" 3480401 NIL UTSSOL (NIL T T T) -7 NIL NIL) (-1237 3478895 3479049 3479310 "UTSODETL" 3479890 NIL UTSODETL (NIL T T T T) -7 NIL NIL) (-1236 3476335 3476795 3477319 "UTSODE" 3478436 NIL UTSODE (NIL T T) -7 NIL NIL) (-1235 3468168 3473963 3474451 "UTS" 3475905 NIL UTS (NIL T NIL NIL) -8 NIL NIL) (-1234 3459454 3464814 3464858 "UTSCAT" 3465970 NIL UTSCAT (NIL T) -9 NIL 3466721) (-1233 3456809 3457524 3458513 "UTSCAT-" 3458518 NIL UTSCAT- (NIL T T) -8 NIL NIL) (-1232 3456436 3456479 3456612 "UTS2" 3456760 NIL UTS2 (NIL T T T T) -7 NIL NIL) (-1231 3450750 3453309 3453353 "URAGG" 3455423 NIL URAGG (NIL T) -9 NIL 3456145) (-1230 3447689 3448552 3449675 "URAGG-" 3449680 NIL URAGG- (NIL T T) -8 NIL NIL) (-1229 3443367 3446303 3446775 "UPXSSING" 3447353 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL) (-1228 3435254 3442484 3442765 "UPXS" 3443144 NIL UPXS (NIL T NIL NIL) -8 NIL NIL) (-1227 3428282 3435158 3435230 "UPXSCONS" 3435235 NIL UPXSCONS (NIL T T) -8 NIL NIL) (-1226 3418494 3425319 3425382 "UPXSCCA" 3426038 NIL UPXSCCA (NIL T T) -9 NIL 3426280) (-1225 3418132 3418217 3418391 "UPXSCCA-" 3418396 NIL UPXSCCA- (NIL T T T) -8 NIL NIL) (-1224 3408276 3414874 3414918 "UPXSCAT" 3415566 NIL UPXSCAT (NIL T) -9 NIL 3416168) (-1223 3407706 3407785 3407964 "UPXS2" 3408191 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1222 3406360 3406613 3406964 "UPSQFREE" 3407449 NIL UPSQFREE (NIL T T) -7 NIL NIL) (-1221 3400195 3403245 3403301 "UPSCAT" 3404462 NIL UPSCAT (NIL T T) -9 NIL 3405230) (-1220 3399399 3399606 3399933 "UPSCAT-" 3399938 NIL UPSCAT- (NIL T T T) -8 NIL NIL) (-1219 3385388 3393428 3393472 "UPOLYC" 3395573 NIL UPOLYC (NIL T) -9 NIL 3396788) (-1218 3376717 3379142 3382289 "UPOLYC-" 3382294 NIL UPOLYC- (NIL T T) -8 NIL NIL) (-1217 3376344 3376387 3376520 "UPOLYC2" 3376668 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL) (-1216 3367755 3375910 3376048 "UP" 3376254 NIL UP (NIL NIL T) -8 NIL NIL) (-1215 3367094 3367201 3367365 "UPMP" 3367644 NIL UPMP (NIL T T) -7 NIL NIL) (-1214 3366647 3366728 3366867 "UPDIVP" 3367007 NIL UPDIVP (NIL T T) -7 NIL NIL) (-1213 3365215 3365464 3365780 "UPDECOMP" 3366396 NIL UPDECOMP (NIL T T) -7 NIL NIL) (-1212 3364450 3364562 3364747 "UPCDEN" 3365099 NIL UPCDEN (NIL T T T) -7 NIL NIL) (-1211 3363969 3364038 3364187 "UP2" 3364375 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL) (-1210 3362490 3363177 3363452 "UNISEG" 3363729 NIL UNISEG (NIL T) -8 NIL NIL) (-1209 3361707 3361834 3362038 "UNISEG2" 3362334 NIL UNISEG2 (NIL T T) -7 NIL NIL) (-1208 3360767 3360947 3361173 "UNIFACT" 3361523 NIL UNIFACT (NIL T) -7 NIL NIL) (-1207 3344651 3359946 3360196 "ULS" 3360575 NIL ULS (NIL T NIL NIL) -8 NIL NIL) (-1206 3332606 3344555 3344627 "ULSCONS" 3344632 NIL ULSCONS (NIL T T) -8 NIL NIL) (-1205 3315273 3327290 3327353 "ULSCCAT" 3328073 NIL ULSCCAT (NIL T T) -9 NIL 3328369) (-1204 3314323 3314568 3314956 "ULSCCAT-" 3314961 NIL ULSCCAT- (NIL T T T) -8 NIL NIL) (-1203 3304259 3310771 3310815 "ULSCAT" 3311678 NIL ULSCAT (NIL T) -9 NIL 3312401) (-1202 3303689 3303768 3303947 "ULS2" 3304174 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1201 3295827 3301680 3302180 "UFPS" 3303224 NIL UFPS (NIL T) -8 NIL NIL) (-1200 3295524 3295581 3295679 "UFPS1" 3295764 NIL UFPS1 (NIL T) -7 NIL NIL) (-1199 3293917 3294884 3294915 "UFD" 3295127 T UFD (NIL) -9 NIL 3295241) (-1198 3293711 3293757 3293852 "UFD-" 3293857 NIL UFD- (NIL T) -8 NIL NIL) (-1197 3292793 3292976 3293192 "UDVO" 3293517 T UDVO (NIL) -7 NIL NIL) (-1196 3290611 3291020 3291490 "UDPO" 3292358 NIL UDPO (NIL T) -7 NIL NIL) (-1195 3290543 3290548 3290579 "TYPE" 3290584 T TYPE (NIL) -9 NIL NIL) (-1194 3289514 3289716 3289956 "TWOFACT" 3290337 NIL TWOFACT (NIL T) -7 NIL NIL) (-1193 3288586 3288917 3289116 "TUPLE" 3289350 NIL TUPLE (NIL T) -8 NIL NIL) (-1192 3286277 3286796 3287335 "TUBETOOL" 3288069 T TUBETOOL (NIL) -7 NIL NIL) (-1191 3285126 3285331 3285572 "TUBE" 3286070 NIL TUBE (NIL T) -8 NIL NIL) (-1190 3279846 3284100 3284382 "TS" 3284879 NIL TS (NIL T) -8 NIL NIL) (-1189 3268520 3272605 3272703 "TSETCAT" 3277972 NIL TSETCAT (NIL T T T T) -9 NIL 3279502) (-1188 3263255 3264852 3266743 "TSETCAT-" 3266748 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL) (-1187 3257526 3258372 3259310 "TRMANIP" 3262395 NIL TRMANIP (NIL T T) -7 NIL NIL) (-1186 3256967 3257030 3257193 "TRIMAT" 3257458 NIL TRIMAT (NIL T T T T) -7 NIL NIL) (-1185 3254763 3255000 3255364 "TRIGMNIP" 3256716 NIL TRIGMNIP (NIL T T) -7 NIL NIL) (-1184 3254282 3254395 3254426 "TRIGCAT" 3254639 T TRIGCAT (NIL) -9 NIL NIL) (-1183 3253951 3254030 3254171 "TRIGCAT-" 3254176 NIL TRIGCAT- (NIL T) -8 NIL NIL) (-1182 3250854 3252809 3253090 "TREE" 3253705 NIL TREE (NIL T) -8 NIL NIL) (-1181 3250127 3250655 3250686 "TRANFUN" 3250721 T TRANFUN (NIL) -9 NIL 3250787) (-1180 3249406 3249597 3249877 "TRANFUN-" 3249882 NIL TRANFUN- (NIL T) -8 NIL NIL) (-1179 3249210 3249242 3249303 "TOPSP" 3249367 T TOPSP (NIL) -7 NIL NIL) (-1178 3248558 3248673 3248827 "TOOLSIGN" 3249091 NIL TOOLSIGN (NIL T) -7 NIL NIL) (-1177 3247193 3247735 3247974 "TEXTFILE" 3248341 T TEXTFILE (NIL) -8 NIL NIL) (-1176 3245058 3245572 3246010 "TEX" 3246777 T TEX (NIL) -8 NIL NIL) (-1175 3244839 3244870 3244942 "TEX1" 3245021 NIL TEX1 (NIL T) -7 NIL NIL) (-1174 3244487 3244550 3244640 "TEMUTL" 3244771 T TEMUTL (NIL) -7 NIL NIL) (-1173 3242641 3242921 3243246 "TBCMPPK" 3244210 NIL TBCMPPK (NIL T T) -7 NIL NIL) (-1172 3234386 3240646 3240703 "TBAGG" 3241103 NIL TBAGG (NIL T T) -9 NIL 3241314) (-1171 3229456 3230944 3232698 "TBAGG-" 3232703 NIL TBAGG- (NIL T T T) -8 NIL NIL) (-1170 3228840 3228947 3229092 "TANEXP" 3229345 NIL TANEXP (NIL T) -7 NIL NIL) (-1169 3222353 3228697 3228790 "TABLE" 3228795 NIL TABLE (NIL T T) -8 NIL NIL) (-1168 3221766 3221864 3222002 "TABLEAU" 3222250 NIL TABLEAU (NIL T) -8 NIL NIL) (-1167 3216374 3217594 3218842 "TABLBUMP" 3220552 NIL TABLBUMP (NIL T) -7 NIL NIL) (-1166 3212837 3213532 3214315 "SYSSOLP" 3215625 NIL SYSSOLP (NIL T) -7 NIL NIL) (-1165 3209971 3210579 3211217 "SYMTAB" 3212221 T SYMTAB (NIL) -8 NIL NIL) (-1164 3205220 3206122 3207105 "SYMS" 3209010 T SYMS (NIL) -8 NIL NIL) (-1163 3202452 3204684 3204911 "SYMPOLY" 3205028 NIL SYMPOLY (NIL T) -8 NIL NIL) (-1162 3201969 3202044 3202167 "SYMFUNC" 3202364 NIL SYMFUNC (NIL T) -7 NIL NIL) (-1161 3197947 3199206 3200028 "SYMBOL" 3201169 T SYMBOL (NIL) -8 NIL NIL) (-1160 3191486 3193175 3194895 "SWITCH" 3196249 T SWITCH (NIL) -8 NIL NIL) (-1159 3184712 3190309 3190611 "SUTS" 3191242 NIL SUTS (NIL T NIL NIL) -8 NIL NIL) (-1158 3176598 3183829 3184110 "SUPXS" 3184489 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL) (-1157 3168083 3176216 3176342 "SUP" 3176507 NIL SUP (NIL T) -8 NIL NIL) (-1156 3167242 3167369 3167586 "SUPFRACF" 3167951 NIL SUPFRACF (NIL T T T T) -7 NIL NIL) (-1155 3157814 3167044 3167158 "SUPEXPR" 3167163 NIL SUPEXPR (NIL T) -8 NIL NIL) (-1154 3157435 3157494 3157607 "SUP2" 3157749 NIL SUP2 (NIL T T) -7 NIL NIL) (-1153 3155848 3156122 3156485 "SUMRF" 3157134 NIL SUMRF (NIL T) -7 NIL NIL) (-1152 3155162 3155228 3155427 "SUMFS" 3155769 NIL SUMFS (NIL T T) -7 NIL NIL) (-1151 3139086 3154341 3154591 "SULS" 3154970 NIL SULS (NIL T NIL NIL) -8 NIL NIL) (-1150 3138408 3138611 3138751 "SUCH" 3138994 NIL SUCH (NIL T T) -8 NIL NIL) (-1149 3132302 3133314 3134273 "SUBSPACE" 3137496 NIL SUBSPACE (NIL NIL T) -8 NIL NIL) (-1148 3131734 3131824 3131987 "SUBRESP" 3132191 NIL SUBRESP (NIL T T) -7 NIL NIL) (-1147 3125103 3126399 3127710 "STTF" 3130470 NIL STTF (NIL T) -7 NIL NIL) (-1146 3119276 3120396 3121543 "STTFNC" 3124003 NIL STTFNC (NIL T) -7 NIL NIL) (-1145 3110595 3112462 3114254 "STTAYLOR" 3117519 NIL STTAYLOR (NIL T) -7 NIL NIL) (-1144 3103851 3110459 3110542 "STRTBL" 3110547 NIL STRTBL (NIL T) -8 NIL NIL) (-1143 3099242 3103806 3103837 "STRING" 3103842 T STRING (NIL) -8 NIL NIL) (-1142 3094106 3098584 3098615 "STRICAT" 3098674 T STRICAT (NIL) -9 NIL 3098736) (-1141 3086833 3091633 3092251 "STREAM" 3093523 NIL STREAM (NIL T) -8 NIL NIL) (-1140 3086343 3086420 3086564 "STREAM3" 3086750 NIL STREAM3 (NIL T T T) -7 NIL NIL) (-1139 3085325 3085508 3085743 "STREAM2" 3086156 NIL STREAM2 (NIL T T) -7 NIL NIL) (-1138 3085013 3085065 3085158 "STREAM1" 3085267 NIL STREAM1 (NIL T) -7 NIL NIL) (-1137 3084029 3084210 3084441 "STINPROD" 3084829 NIL STINPROD (NIL T) -7 NIL NIL) (-1136 3083606 3083790 3083821 "STEP" 3083901 T STEP (NIL) -9 NIL 3083979) (-1135 3077161 3083505 3083582 "STBL" 3083587 NIL STBL (NIL T T NIL) -8 NIL NIL) (-1134 3072375 3076413 3076457 "STAGG" 3076610 NIL STAGG (NIL T) -9 NIL 3076699) (-1133 3070077 3070679 3071551 "STAGG-" 3071556 NIL STAGG- (NIL T T) -8 NIL NIL) (-1132 3063569 3065138 3066253 "STACK" 3068997 NIL STACK (NIL T) -8 NIL NIL) (-1131 3056294 3061710 3062166 "SREGSET" 3063199 NIL SREGSET (NIL T T T T) -8 NIL NIL) (-1130 3048720 3050088 3051601 "SRDCMPK" 3054900 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL) (-1129 3041698 3046158 3046189 "SRAGG" 3047492 T SRAGG (NIL) -9 NIL 3048100) (-1128 3040715 3040970 3041349 "SRAGG-" 3041354 NIL SRAGG- (NIL T) -8 NIL NIL) (-1127 3035163 3039638 3040062 "SQMATRIX" 3040338 NIL SQMATRIX (NIL NIL T) -8 NIL NIL) (-1126 3028919 3031881 3032608 "SPLTREE" 3034508 NIL SPLTREE (NIL T T) -8 NIL NIL) (-1125 3024909 3025575 3026221 "SPLNODE" 3028345 NIL SPLNODE (NIL T T) -8 NIL NIL) (-1124 3023955 3024188 3024219 "SPFCAT" 3024663 T SPFCAT (NIL) -9 NIL NIL) (-1123 3022692 3022902 3023166 "SPECOUT" 3023713 T SPECOUT (NIL) -7 NIL NIL) (-1122 3014662 3016409 3016453 "SPACEC" 3020826 NIL SPACEC (NIL T) -9 NIL 3022642) (-1121 3012833 3014594 3014643 "SPACE3" 3014648 NIL SPACE3 (NIL T) -8 NIL NIL) (-1120 3011587 3011758 3012048 "SORTPAK" 3012639 NIL SORTPAK (NIL T T) -7 NIL NIL) (-1119 3009637 3009940 3010359 "SOLVETRA" 3011251 NIL SOLVETRA (NIL T) -7 NIL NIL) (-1118 3008648 3008870 3009144 "SOLVESER" 3009410 NIL SOLVESER (NIL T) -7 NIL NIL) (-1117 3003868 3004749 3005751 "SOLVERAD" 3007700 NIL SOLVERAD (NIL T) -7 NIL NIL) (-1116 2999683 3000292 3001021 "SOLVEFOR" 3003235 NIL SOLVEFOR (NIL T T) -7 NIL NIL) (-1115 2993986 2999031 2999129 "SNTSCAT" 2999134 NIL SNTSCAT (NIL T T T T) -9 NIL 2999204) (-1114 2988084 2992311 2992701 "SMTS" 2993677 NIL SMTS (NIL T T T) -8 NIL NIL) (-1113 2982488 2987972 2988049 "SMP" 2988054 NIL SMP (NIL T T) -8 NIL NIL) (-1112 2980647 2980948 2981346 "SMITH" 2982185 NIL SMITH (NIL T T T T) -7 NIL NIL) (-1111 2973589 2977787 2977891 "SMATCAT" 2979242 NIL SMATCAT (NIL NIL T T T) -9 NIL 2979789) (-1110 2970529 2971352 2972530 "SMATCAT-" 2972535 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL) (-1109 2968282 2969799 2969843 "SKAGG" 2970104 NIL SKAGG (NIL T) -9 NIL 2970239) (-1108 2964340 2967386 2967664 "SINT" 2968026 T SINT (NIL) -8 NIL NIL) (-1107 2964112 2964150 2964216 "SIMPAN" 2964296 T SIMPAN (NIL) -7 NIL NIL) (-1106 2962950 2963171 2963446 "SIGNRF" 2963871 NIL SIGNRF (NIL T) -7 NIL NIL) (-1105 2961755 2961906 2962197 "SIGNEF" 2962779 NIL SIGNEF (NIL T T) -7 NIL NIL) (-1104 2959447 2959901 2960406 "SHP" 2961297 NIL SHP (NIL T NIL) -7 NIL NIL) (-1103 2953271 2959348 2959424 "SHDP" 2959429 NIL SHDP (NIL NIL NIL T) -8 NIL NIL) (-1102 2952759 2952951 2952982 "SGROUP" 2953134 T SGROUP (NIL) -9 NIL 2953221) (-1101 2952529 2952581 2952685 "SGROUP-" 2952690 NIL SGROUP- (NIL T) -8 NIL NIL) (-1100 2949365 2950062 2950785 "SGCF" 2951828 T SGCF (NIL) -7 NIL NIL) (-1099 2943766 2948811 2948909 "SFRTCAT" 2948914 NIL SFRTCAT (NIL T T T T) -9 NIL 2948953) (-1098 2937190 2938205 2939341 "SFRGCD" 2942749 NIL SFRGCD (NIL T T T T T) -7 NIL NIL) (-1097 2930318 2931389 2932575 "SFQCMPK" 2936123 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL) (-1096 2929940 2930029 2930139 "SFORT" 2930259 NIL SFORT (NIL T T) -8 NIL NIL) (-1095 2929085 2929780 2929901 "SEXOF" 2929906 NIL SEXOF (NIL T T T T T) -8 NIL NIL) (-1094 2928219 2928966 2929034 "SEX" 2929039 T SEX (NIL) -8 NIL NIL) (-1093 2922994 2923683 2923779 "SEXCAT" 2927550 NIL SEXCAT (NIL T T T T T) -9 NIL 2928169) (-1092 2920174 2922928 2922976 "SET" 2922981 NIL SET (NIL T) -8 NIL NIL) (-1091 2918425 2918887 2919192 "SETMN" 2919915 NIL SETMN (NIL NIL NIL) -8 NIL NIL) (-1090 2918030 2918156 2918187 "SETCAT" 2918304 T SETCAT (NIL) -9 NIL 2918389) (-1089 2917810 2917862 2917961 "SETCAT-" 2917966 NIL SETCAT- (NIL T) -8 NIL NIL) (-1088 2917473 2917623 2917654 "SETCATD" 2917713 T SETCATD (NIL) -9 NIL 2917760) (-1087 2913859 2915933 2915977 "SETAGG" 2916847 NIL SETAGG (NIL T) -9 NIL 2917187) (-1086 2913317 2913433 2913670 "SETAGG-" 2913675 NIL SETAGG- (NIL T T) -8 NIL NIL) (-1085 2912520 2912813 2912875 "SEGXCAT" 2913161 NIL SEGXCAT (NIL T T) -9 NIL 2913281) (-1084 2911580 2912190 2912370 "SEG" 2912375 NIL SEG (NIL T) -8 NIL NIL) (-1083 2910486 2910699 2910743 "SEGCAT" 2911325 NIL SEGCAT (NIL T) -9 NIL 2911563) (-1082 2909537 2909867 2910066 "SEGBIND" 2910322 NIL SEGBIND (NIL T) -8 NIL NIL) (-1081 2909158 2909217 2909330 "SEGBIND2" 2909472 NIL SEGBIND2 (NIL T T) -7 NIL NIL) (-1080 2908379 2908505 2908708 "SEG2" 2909003 NIL SEG2 (NIL T T) -7 NIL NIL) (-1079 2907816 2908314 2908361 "SDVAR" 2908366 NIL SDVAR (NIL T) -8 NIL NIL) (-1078 2900060 2907586 2907716 "SDPOL" 2907721 NIL SDPOL (NIL T) -8 NIL NIL) (-1077 2898653 2898919 2899238 "SCPKG" 2899775 NIL SCPKG (NIL T) -7 NIL NIL) (-1076 2897874 2898007 2898186 "SCACHE" 2898508 NIL SCACHE (NIL T) -7 NIL NIL) (-1075 2897313 2897634 2897719 "SAOS" 2897811 T SAOS (NIL) -8 NIL NIL) (-1074 2896878 2896913 2897086 "SAERFFC" 2897272 NIL SAERFFC (NIL T T T) -7 NIL NIL) (-1073 2890767 2896775 2896855 "SAE" 2896860 NIL SAE (NIL T T NIL) -8 NIL NIL) (-1072 2890360 2890395 2890554 "SAEFACT" 2890726 NIL SAEFACT (NIL T T T) -7 NIL NIL) (-1071 2888681 2888995 2889396 "RURPK" 2890026 NIL RURPK (NIL T NIL) -7 NIL NIL) (-1070 2887317 2887596 2887908 "RULESET" 2888515 NIL RULESET (NIL T T T) -8 NIL NIL) (-1069 2884504 2885007 2885472 "RULE" 2886998 NIL RULE (NIL T T T) -8 NIL NIL) (-1068 2884143 2884298 2884381 "RULECOLD" 2884456 NIL RULECOLD (NIL NIL) -8 NIL NIL) (-1067 2878992 2879786 2880706 "RSETGCD" 2883342 NIL RSETGCD (NIL T T T T T) -7 NIL NIL) (-1066 2868255 2873300 2873398 "RSETCAT" 2877517 NIL RSETCAT (NIL T T T T) -9 NIL 2878614) (-1065 2866182 2866721 2867545 "RSETCAT-" 2867550 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL) (-1064 2858569 2859944 2861464 "RSDCMPK" 2864781 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL) (-1063 2856573 2857014 2857089 "RRCC" 2858175 NIL RRCC (NIL T T) -9 NIL 2858519) (-1062 2855924 2856098 2856377 "RRCC-" 2856382 NIL RRCC- (NIL T T T) -8 NIL NIL) (-1061 2830071 2839700 2839768 "RPOLCAT" 2850432 NIL RPOLCAT (NIL T T T) -9 NIL 2853580) (-1060 2821571 2823909 2827031 "RPOLCAT-" 2827036 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL) (-1059 2812630 2819782 2820264 "ROUTINE" 2821111 T ROUTINE (NIL) -8 NIL NIL) (-1058 2809330 2812181 2812330 "ROMAN" 2812503 T ROMAN (NIL) -8 NIL NIL) (-1057 2807605 2808190 2808450 "ROIRC" 2809135 NIL ROIRC (NIL T T) -8 NIL NIL) (-1056 2803943 2806243 2806274 "RNS" 2806578 T RNS (NIL) -9 NIL 2806852) (-1055 2802452 2802835 2803369 "RNS-" 2803444 NIL RNS- (NIL T) -8 NIL NIL) (-1054 2801874 2802282 2802313 "RNG" 2802318 T RNG (NIL) -9 NIL 2802339) (-1053 2801265 2801627 2801671 "RMODULE" 2801733 NIL RMODULE (NIL T) -9 NIL 2801775) (-1052 2800101 2800195 2800531 "RMCAT2" 2801166 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL) (-1051 2796810 2799279 2799602 "RMATRIX" 2799837 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL) (-1050 2789756 2791990 2792106 "RMATCAT" 2795465 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2796442) (-1049 2789131 2789278 2789585 "RMATCAT-" 2789590 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL) (-1048 2788698 2788773 2788901 "RINTERP" 2789050 NIL RINTERP (NIL NIL T) -7 NIL NIL) (-1047 2787741 2788305 2788336 "RING" 2788448 T RING (NIL) -9 NIL 2788543) (-1046 2787533 2787577 2787674 "RING-" 2787679 NIL RING- (NIL T) -8 NIL NIL) (-1045 2786374 2786611 2786869 "RIDIST" 2787297 T RIDIST (NIL) -7 NIL NIL) (-1044 2777690 2785842 2786048 "RGCHAIN" 2786222 NIL RGCHAIN (NIL T NIL) -8 NIL NIL) (-1043 2776490 2776731 2777010 "RFP" 2777445 NIL RFP (NIL T) -7 NIL NIL) (-1042 2773484 2774098 2774768 "RF" 2775854 NIL RF (NIL T) -7 NIL NIL) (-1041 2773130 2773193 2773296 "RFFACTOR" 2773415 NIL RFFACTOR (NIL T) -7 NIL NIL) (-1040 2772855 2772890 2772987 "RFFACT" 2773089 NIL RFFACT (NIL T) -7 NIL NIL) (-1039 2770972 2771336 2771718 "RFDIST" 2772495 T RFDIST (NIL) -7 NIL NIL) (-1038 2770425 2770517 2770680 "RETSOL" 2770874 NIL RETSOL (NIL T T) -7 NIL NIL) (-1037 2770012 2770092 2770136 "RETRACT" 2770329 NIL RETRACT (NIL T) -9 NIL NIL) (-1036 2769861 2769886 2769973 "RETRACT-" 2769978 NIL RETRACT- (NIL T T) -8 NIL NIL) (-1035 2762727 2769514 2769641 "RESULT" 2769756 T RESULT (NIL) -8 NIL NIL) (-1034 2761307 2761996 2762195 "RESRING" 2762630 NIL RESRING (NIL T T T T NIL) -8 NIL NIL) (-1033 2760943 2760992 2761090 "RESLATC" 2761244 NIL RESLATC (NIL T) -7 NIL NIL) (-1032 2760649 2760683 2760790 "REPSQ" 2760902 NIL REPSQ (NIL T) -7 NIL NIL) (-1031 2758071 2758651 2759253 "REP" 2760069 T REP (NIL) -7 NIL NIL) (-1030 2757769 2757803 2757914 "REPDB" 2758030 NIL REPDB (NIL T) -7 NIL NIL) (-1029 2751687 2753066 2754285 "REP2" 2756585 NIL REP2 (NIL T) -7 NIL NIL) (-1028 2748068 2748749 2749555 "REP1" 2750916 NIL REP1 (NIL T) -7 NIL NIL) (-1027 2740794 2746209 2746665 "REGSET" 2747698 NIL REGSET (NIL T T T T) -8 NIL NIL) (-1026 2739609 2739944 2740193 "REF" 2740580 NIL REF (NIL T) -8 NIL NIL) (-1025 2738986 2739089 2739256 "REDORDER" 2739493 NIL REDORDER (NIL T T) -7 NIL NIL) (-1024 2735848 2736314 2736923 "RECOP" 2738520 NIL RECOP (NIL T T) -7 NIL NIL) (-1023 2731788 2735061 2735288 "RECLOS" 2735676 NIL RECLOS (NIL T) -8 NIL NIL) (-1022 2730840 2731021 2731236 "REALSOLV" 2731595 T REALSOLV (NIL) -7 NIL NIL) (-1021 2730685 2730726 2730757 "REAL" 2730762 T REAL (NIL) -9 NIL 2730797) (-1020 2727168 2727970 2728854 "REAL0Q" 2729850 NIL REAL0Q (NIL T) -7 NIL NIL) (-1019 2722769 2723757 2724818 "REAL0" 2726149 NIL REAL0 (NIL T) -7 NIL NIL) (-1018 2722174 2722246 2722453 "RDIV" 2722691 NIL RDIV (NIL T T T T T) -7 NIL NIL) (-1017 2721242 2721416 2721629 "RDIST" 2721996 NIL RDIST (NIL T) -7 NIL NIL) (-1016 2719839 2720126 2720498 "RDETRS" 2720950 NIL RDETRS (NIL T T) -7 NIL NIL) (-1015 2717651 2718105 2718643 "RDETR" 2719381 NIL RDETR (NIL T T) -7 NIL NIL) (-1014 2716262 2716540 2716944 "RDEEFS" 2717367 NIL RDEEFS (NIL T T) -7 NIL NIL) (-1013 2714757 2715063 2715495 "RDEEF" 2715950 NIL RDEEF (NIL T T) -7 NIL NIL) (-1012 2708948 2711883 2711914 "RCFIELD" 2713209 T RCFIELD (NIL) -9 NIL 2713940) (-1011 2707012 2707516 2708212 "RCFIELD-" 2708287 NIL RCFIELD- (NIL T) -8 NIL NIL) (-1010 2703370 2705149 2705193 "RCAGG" 2706277 NIL RCAGG (NIL T) -9 NIL 2706740) (-1009 2702998 2703092 2703255 "RCAGG-" 2703260 NIL RCAGG- (NIL T T) -8 NIL NIL) (-1008 2702334 2702445 2702610 "RATRET" 2702882 NIL RATRET (NIL T) -7 NIL NIL) (-1007 2701887 2701954 2702075 "RATFACT" 2702262 NIL RATFACT (NIL T) -7 NIL NIL) (-1006 2701195 2701315 2701467 "RANDSRC" 2701757 T RANDSRC (NIL) -7 NIL NIL) (-1005 2700929 2700973 2701046 "RADUTIL" 2701144 T RADUTIL (NIL) -7 NIL NIL) (-1004 2693917 2699662 2699981 "RADIX" 2700644 NIL RADIX (NIL NIL) -8 NIL NIL) (-1003 2685480 2693759 2693889 "RADFF" 2693894 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL) (-1002 2685126 2685201 2685232 "RADCAT" 2685392 T RADCAT (NIL) -9 NIL NIL) (-1001 2684908 2684956 2685056 "RADCAT-" 2685061 NIL RADCAT- (NIL T) -8 NIL NIL) (-1000 2678155 2679773 2680926 "QUEUE" 2683790 NIL QUEUE (NIL T) -8 NIL NIL) (-999 2674646 2678092 2678137 "QUAT" 2678142 NIL QUAT (NIL T) -8 NIL NIL) (-998 2674284 2674327 2674454 "QUATCT2" 2674597 NIL QUATCT2 (NIL T T T T) -7 NIL NIL) (-997 2668021 2671405 2671446 "QUATCAT" 2672226 NIL QUATCAT (NIL T) -9 NIL 2672984) (-996 2664165 2665202 2666589 "QUATCAT-" 2666683 NIL QUATCAT- (NIL T T) -8 NIL NIL) (-995 2661725 2663283 2663325 "QUAGG" 2663700 NIL QUAGG (NIL T) -9 NIL 2663875) (-994 2660650 2661123 2661295 "QFORM" 2661597 NIL QFORM (NIL NIL T) -8 NIL NIL) (-993 2651877 2657144 2657185 "QFCAT" 2657843 NIL QFCAT (NIL T) -9 NIL 2658832) (-992 2647449 2648650 2650241 "QFCAT-" 2650335 NIL QFCAT- (NIL T T) -8 NIL NIL) (-991 2647087 2647130 2647257 "QFCAT2" 2647400 NIL QFCAT2 (NIL T T T T) -7 NIL NIL) (-990 2646547 2646657 2646787 "QEQUAT" 2646977 T QEQUAT (NIL) -8 NIL NIL) (-989 2639695 2640766 2641950 "QCMPACK" 2645480 NIL QCMPACK (NIL T T T T T) -7 NIL NIL) (-988 2637275 2637696 2638122 "QALGSET" 2639352 NIL QALGSET (NIL T T T T) -8 NIL NIL) (-987 2636520 2636694 2636926 "QALGSET2" 2637095 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL) (-986 2635211 2635434 2635751 "PWFFINTB" 2636293 NIL PWFFINTB (NIL T T T T) -7 NIL NIL) (-985 2633393 2633561 2633915 "PUSHVAR" 2635025 NIL PUSHVAR (NIL T T T T) -7 NIL NIL) (-984 2629310 2630364 2630406 "PTRANFN" 2632290 NIL PTRANFN (NIL T) -9 NIL NIL) (-983 2627712 2628003 2628325 "PTPACK" 2629021 NIL PTPACK (NIL T) -7 NIL NIL) (-982 2627344 2627401 2627510 "PTFUNC2" 2627649 NIL PTFUNC2 (NIL T T) -7 NIL NIL) (-981 2621844 2626178 2626220 "PTCAT" 2626593 NIL PTCAT (NIL T) -9 NIL 2626755) (-980 2621502 2621537 2621661 "PSQFR" 2621803 NIL PSQFR (NIL T T T T) -7 NIL NIL) (-979 2620089 2620389 2620725 "PSEUDLIN" 2621198 NIL PSEUDLIN (NIL T) -7 NIL NIL) (-978 2606865 2609229 2611550 "PSETPK" 2617852 NIL PSETPK (NIL T T T T) -7 NIL NIL) (-977 2599909 2602623 2602720 "PSETCAT" 2605741 NIL PSETCAT (NIL T T T T) -9 NIL 2606554) (-976 2597745 2598379 2599200 "PSETCAT-" 2599205 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL) (-975 2597094 2597258 2597287 "PSCURVE" 2597555 T PSCURVE (NIL) -9 NIL 2597722) (-974 2593483 2595009 2595075 "PSCAT" 2595919 NIL PSCAT (NIL T T T) -9 NIL 2596159) (-973 2592546 2592762 2593162 "PSCAT-" 2593167 NIL PSCAT- (NIL T T T T) -8 NIL NIL) (-972 2591199 2591831 2592045 "PRTITION" 2592352 T PRTITION (NIL) -8 NIL NIL) (-971 2588363 2589012 2589053 "PRSPCAT" 2590567 NIL PRSPCAT (NIL T) -9 NIL 2591135) (-970 2577463 2579669 2581856 "PRS" 2586226 NIL PRS (NIL T T) -7 NIL NIL) (-969 2575361 2576847 2576888 "PRQAGG" 2577071 NIL PRQAGG (NIL T) -9 NIL 2577173) (-968 2574630 2575286 2575343 "PROJSP" 2575348 NIL PROJSP (NIL NIL T) -8 NIL NIL) (-967 2573812 2574553 2574605 "PROJPLPS" 2574610 NIL PROJPLPS (NIL T) -8 NIL NIL) (-966 2573071 2573749 2573794 "PROJPL" 2573799 NIL PROJPL (NIL T) -8 NIL NIL) (-965 2566877 2571269 2572073 "PRODUCT" 2572313 NIL PRODUCT (NIL T T) -8 NIL NIL) (-964 2564152 2566341 2566572 "PR" 2566691 NIL PR (NIL T T) -8 NIL NIL) (-963 2562704 2562861 2563156 "PRJALGPK" 2563992 NIL PRJALGPK (NIL T NIL T T T) -7 NIL NIL) (-962 2562500 2562532 2562591 "PRINT" 2562665 T PRINT (NIL) -7 NIL NIL) (-961 2561840 2561957 2562109 "PRIMES" 2562380 NIL PRIMES (NIL T) -7 NIL NIL) (-960 2559905 2560306 2560772 "PRIMELT" 2561419 NIL PRIMELT (NIL T) -7 NIL NIL) (-959 2559633 2559682 2559711 "PRIMCAT" 2559835 T PRIMCAT (NIL) -9 NIL NIL) (-958 2555800 2559571 2559616 "PRIMARR" 2559621 NIL PRIMARR (NIL T) -8 NIL NIL) (-957 2554807 2554985 2555213 "PRIMARR2" 2555618 NIL PRIMARR2 (NIL T T) -7 NIL NIL) (-956 2554450 2554506 2554617 "PREASSOC" 2554745 NIL PREASSOC (NIL T T) -7 NIL NIL) (-955 2553925 2554057 2554086 "PPCURVE" 2554291 T PPCURVE (NIL) -9 NIL 2554427) (-954 2551286 2551685 2552276 "POLYROOT" 2553507 NIL POLYROOT (NIL T T T T T) -7 NIL NIL) (-953 2545187 2550892 2551051 "POLY" 2551160 NIL POLY (NIL T) -8 NIL NIL) (-952 2544570 2544628 2544862 "POLYLIFT" 2545123 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL) (-951 2540845 2541294 2541923 "POLYCATQ" 2544115 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL) (-950 2527807 2533207 2533273 "POLYCAT" 2536787 NIL POLYCAT (NIL T T T) -9 NIL 2538700) (-949 2521257 2523118 2525502 "POLYCAT-" 2525507 NIL POLYCAT- (NIL T T T T) -8 NIL NIL) (-948 2520844 2520912 2521032 "POLY2UP" 2521183 NIL POLY2UP (NIL NIL T) -7 NIL NIL) (-947 2520476 2520533 2520642 "POLY2" 2520781 NIL POLY2 (NIL T T) -7 NIL NIL) (-946 2519163 2519402 2519677 "POLUTIL" 2520251 NIL POLUTIL (NIL T T) -7 NIL NIL) (-945 2517518 2517795 2518126 "POLTOPOL" 2518885 NIL POLTOPOL (NIL NIL T) -7 NIL NIL) (-944 2513040 2517454 2517500 "POINT" 2517505 NIL POINT (NIL T) -8 NIL NIL) (-943 2511227 2511584 2511959 "PNTHEORY" 2512685 T PNTHEORY (NIL) -7 NIL NIL) (-942 2509646 2509943 2510355 "PMTOOLS" 2510925 NIL PMTOOLS (NIL T T T) -7 NIL NIL) (-941 2509239 2509317 2509434 "PMSYM" 2509562 NIL PMSYM (NIL T) -7 NIL NIL) (-940 2508749 2508818 2508992 "PMQFCAT" 2509164 NIL PMQFCAT (NIL T T T) -7 NIL NIL) (-939 2508104 2508214 2508370 "PMPRED" 2508626 NIL PMPRED (NIL T) -7 NIL NIL) (-938 2507500 2507586 2507747 "PMPREDFS" 2508005 NIL PMPREDFS (NIL T T T) -7 NIL NIL) (-937 2506145 2506353 2506737 "PMPLCAT" 2507263 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL) (-936 2505677 2505756 2505908 "PMLSAGG" 2506060 NIL PMLSAGG (NIL T T T) -7 NIL NIL) (-935 2505152 2505228 2505409 "PMKERNEL" 2505595 NIL PMKERNEL (NIL T T) -7 NIL NIL) (-934 2504769 2504844 2504957 "PMINS" 2505071 NIL PMINS (NIL T) -7 NIL NIL) (-933 2504197 2504266 2504482 "PMFS" 2504694 NIL PMFS (NIL T T T) -7 NIL NIL) (-932 2503425 2503543 2503748 "PMDOWN" 2504074 NIL PMDOWN (NIL T T T) -7 NIL NIL) (-931 2502588 2502747 2502929 "PMASS" 2503263 T PMASS (NIL) -7 NIL NIL) (-930 2501862 2501973 2502136 "PMASSFS" 2502474 NIL PMASSFS (NIL T T) -7 NIL NIL) (-929 2499622 2499875 2500258 "PLPKCRV" 2501586 NIL PLPKCRV (NIL T T T NIL T) -7 NIL NIL) (-928 2499277 2499345 2499439 "PLOTTOOL" 2499548 T PLOTTOOL (NIL) -7 NIL NIL) (-927 2493899 2495088 2496236 "PLOT" 2498149 T PLOT (NIL) -8 NIL NIL) (-926 2489713 2490747 2491668 "PLOT3D" 2492998 T PLOT3D (NIL) -8 NIL NIL) (-925 2488625 2488802 2489037 "PLOT1" 2489517 NIL PLOT1 (NIL T) -7 NIL NIL) (-924 2464020 2468691 2473542 "PLEQN" 2483891 NIL PLEQN (NIL T T T T) -7 NIL NIL) (-923 2463260 2463930 2463997 "PLCS" 2464002 NIL PLCS (NIL T T) -8 NIL NIL) (-922 2462411 2463145 2463216 "PLACESPS" 2463221 NIL PLACESPS (NIL T) -8 NIL NIL) (-921 2461618 2462324 2462381 "PLACES" 2462386 NIL PLACES (NIL T) -8 NIL NIL) (-920 2458342 2459006 2459065 "PLACESC" 2460983 NIL PLACESC (NIL T T) -9 NIL 2461554) (-919 2457660 2457782 2457962 "PINTERP" 2458207 NIL PINTERP (NIL NIL T) -7 NIL NIL) (-918 2457353 2457400 2457503 "PINTERPA" 2457607 NIL PINTERPA (NIL T T) -7 NIL NIL) (-917 2456580 2457147 2457240 "PI" 2457280 T PI (NIL) -8 NIL NIL) (-916 2454967 2455952 2455981 "PID" 2456163 T PID (NIL) -9 NIL 2456297) (-915 2454692 2454729 2454817 "PICOERCE" 2454924 NIL PICOERCE (NIL T) -7 NIL NIL) (-914 2454013 2454151 2454327 "PGROEB" 2454548 NIL PGROEB (NIL T) -7 NIL NIL) (-913 2449600 2450414 2451319 "PGE" 2453128 T PGE (NIL) -7 NIL NIL) (-912 2447724 2447970 2448336 "PGCD" 2449317 NIL PGCD (NIL T T T T) -7 NIL NIL) (-911 2447062 2447165 2447326 "PFRPAC" 2447608 NIL PFRPAC (NIL T) -7 NIL NIL) (-910 2443677 2445610 2445963 "PFR" 2446741 NIL PFR (NIL T) -8 NIL NIL) (-909 2442066 2442310 2442635 "PFOTOOLS" 2443424 NIL PFOTOOLS (NIL T T) -7 NIL NIL) (-908 2436931 2437596 2438345 "PFORP" 2441408 NIL PFORP (NIL T T T NIL) -7 NIL NIL) (-907 2435464 2435703 2436054 "PFOQ" 2436688 NIL PFOQ (NIL T T T) -7 NIL NIL) (-906 2433937 2434149 2434512 "PFO" 2435248 NIL PFO (NIL T T T T T) -7 NIL NIL) (-905 2430460 2433826 2433895 "PF" 2433900 NIL PF (NIL NIL) -8 NIL NIL) (-904 2427885 2429166 2429195 "PFECAT" 2429780 T PFECAT (NIL) -9 NIL 2430163) (-903 2427330 2427484 2427698 "PFECAT-" 2427703 NIL PFECAT- (NIL T) -8 NIL NIL) (-902 2425934 2426185 2426486 "PFBRU" 2427079 NIL PFBRU (NIL T T) -7 NIL NIL) (-901 2423801 2424152 2424584 "PFBR" 2425585 NIL PFBR (NIL T T T T) -7 NIL NIL) (-900 2419657 2421181 2421855 "PERM" 2423160 NIL PERM (NIL T) -8 NIL NIL) (-899 2414924 2415864 2416734 "PERMGRP" 2418820 NIL PERMGRP (NIL T) -8 NIL NIL) (-898 2412995 2413988 2414030 "PERMCAT" 2414476 NIL PERMCAT (NIL T) -9 NIL 2414779) (-897 2412648 2412689 2412813 "PERMAN" 2412948 NIL PERMAN (NIL NIL T) -7 NIL NIL) (-896 2410094 2412217 2412348 "PENDTREE" 2412550 NIL PENDTREE (NIL T) -8 NIL NIL) (-895 2408162 2408940 2408982 "PDRING" 2409639 NIL PDRING (NIL T) -9 NIL 2409925) (-894 2407265 2407483 2407845 "PDRING-" 2407850 NIL PDRING- (NIL T T) -8 NIL NIL) (-893 2404407 2405157 2405848 "PDEPROB" 2406594 T PDEPROB (NIL) -8 NIL NIL) (-892 2401954 2402456 2403011 "PDEPACK" 2403872 T PDEPACK (NIL) -7 NIL NIL) (-891 2400866 2401056 2401307 "PDECOMP" 2401753 NIL PDECOMP (NIL T T) -7 NIL NIL) (-890 2398470 2399287 2399316 "PDECAT" 2400103 T PDECAT (NIL) -9 NIL 2400816) (-889 2398221 2398254 2398344 "PCOMP" 2398431 NIL PCOMP (NIL T T) -7 NIL NIL) (-888 2396426 2397022 2397319 "PBWLB" 2397950 NIL PBWLB (NIL T) -8 NIL NIL) (-887 2388931 2390499 2391837 "PATTERN" 2395109 NIL PATTERN (NIL T) -8 NIL NIL) (-886 2388563 2388620 2388729 "PATTERN2" 2388868 NIL PATTERN2 (NIL T T) -7 NIL NIL) (-885 2386320 2386708 2387165 "PATTERN1" 2388152 NIL PATTERN1 (NIL T T) -7 NIL NIL) (-884 2383715 2384269 2384750 "PATRES" 2385885 NIL PATRES (NIL T T) -8 NIL NIL) (-883 2383279 2383346 2383478 "PATRES2" 2383642 NIL PATRES2 (NIL T T T) -7 NIL NIL) (-882 2381162 2381567 2381974 "PATMATCH" 2382946 NIL PATMATCH (NIL T T T) -7 NIL NIL) (-881 2380697 2380880 2380922 "PATMAB" 2381029 NIL PATMAB (NIL T) -9 NIL 2381112) (-880 2379242 2379551 2379809 "PATLRES" 2380502 NIL PATLRES (NIL T T T) -8 NIL NIL) (-879 2378789 2378912 2378954 "PATAB" 2378959 NIL PATAB (NIL T) -9 NIL 2379129) (-878 2376270 2376802 2377375 "PARTPERM" 2378236 T PARTPERM (NIL) -7 NIL NIL) (-877 2375891 2375954 2376056 "PARSURF" 2376201 NIL PARSURF (NIL T) -8 NIL NIL) (-876 2375523 2375580 2375689 "PARSU2" 2375828 NIL PARSU2 (NIL T T) -7 NIL NIL) (-875 2375144 2375207 2375309 "PARSCURV" 2375454 NIL PARSCURV (NIL T) -8 NIL NIL) (-874 2374776 2374833 2374942 "PARSC2" 2375081 NIL PARSC2 (NIL T T) -7 NIL NIL) (-873 2374415 2374473 2374570 "PARPCURV" 2374712 NIL PARPCURV (NIL T) -8 NIL NIL) (-872 2374047 2374104 2374213 "PARPC2" 2374352 NIL PARPC2 (NIL T T) -7 NIL NIL) (-871 2372527 2372645 2372964 "PARAMP" 2373902 NIL PARAMP (NIL T NIL T T T T T) -7 NIL NIL) (-870 2372047 2372133 2372252 "PAN2EXPR" 2372428 T PAN2EXPR (NIL) -7 NIL NIL) (-869 2370853 2371168 2371396 "PALETTE" 2371839 T PALETTE (NIL) -8 NIL NIL) (-868 2358486 2360652 2362768 "PAFF" 2368801 NIL PAFF (NIL T NIL T) -7 NIL NIL) (-867 2345482 2347810 2350021 "PAFFFF" 2356339 NIL PAFFFF (NIL T NIL T) -7 NIL NIL) (-866 2339323 2344741 2344935 "PADICRC" 2345337 NIL PADICRC (NIL NIL T) -8 NIL NIL) (-865 2332522 2338669 2338853 "PADICRAT" 2339171 NIL PADICRAT (NIL NIL) -8 NIL NIL) (-864 2330826 2332459 2332504 "PADIC" 2332509 NIL PADIC (NIL NIL) -8 NIL NIL) (-863 2328026 2329600 2329641 "PADICCT" 2330222 NIL PADICCT (NIL NIL) -9 NIL 2330504) (-862 2326983 2327183 2327451 "PADEPAC" 2327813 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL) (-861 2326195 2326328 2326534 "PADE" 2326845 NIL PADE (NIL T T T) -7 NIL NIL) (-860 2322672 2325813 2325932 "PACRAT" 2326096 T PACRAT (NIL) -8 NIL NIL) (-859 2318733 2321783 2321812 "PACRATC" 2321817 T PACRATC (NIL) -9 NIL 2321897) (-858 2314855 2316820 2316849 "PACPERC" 2317795 T PACPERC (NIL) -9 NIL 2318235) (-857 2311525 2314629 2314720 "PACOFF" 2314796 NIL PACOFF (NIL T) -8 NIL NIL) (-856 2308220 2310880 2310909 "PACFFC" 2310914 T PACFFC (NIL) -9 NIL 2310935) (-855 2304310 2307903 2308004 "PACEXT" 2308151 NIL PACEXT (NIL NIL) -8 NIL NIL) (-854 2299688 2303205 2303234 "PACEXTC" 2303239 T PACEXTC (NIL) -9 NIL 2303283) (-853 2297696 2298528 2298843 "OWP" 2299457 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL) (-852 2296805 2297301 2297473 "OVAR" 2297564 NIL OVAR (NIL NIL) -8 NIL NIL) (-851 2296069 2296190 2296351 "OUT" 2296664 T OUT (NIL) -7 NIL NIL) (-850 2285115 2287294 2289464 "OUTFORM" 2293919 T OUTFORM (NIL) -8 NIL NIL) (-849 2284523 2284844 2284933 "OSI" 2285046 T OSI (NIL) -8 NIL NIL) (-848 2283270 2283497 2283781 "ORTHPOL" 2284271 NIL ORTHPOL (NIL T) -7 NIL NIL) (-847 2280632 2282927 2283067 "OREUP" 2283213 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL) (-846 2278019 2280321 2280449 "ORESUP" 2280574 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL) (-845 2275527 2276033 2276598 "OREPCTO" 2277504 NIL OREPCTO (NIL T T) -7 NIL NIL) (-844 2269397 2271608 2271650 "OREPCAT" 2273998 NIL OREPCAT (NIL T) -9 NIL 2275098) (-843 2266544 2267326 2268384 "OREPCAT-" 2268389 NIL OREPCAT- (NIL T T) -8 NIL NIL) (-842 2265720 2265992 2266021 "ORDSET" 2266330 T ORDSET (NIL) -9 NIL 2266494) (-841 2265239 2265361 2265554 "ORDSET-" 2265559 NIL ORDSET- (NIL T) -8 NIL NIL) (-840 2263848 2264649 2264678 "ORDRING" 2264880 T ORDRING (NIL) -9 NIL 2265005) (-839 2263493 2263587 2263731 "ORDRING-" 2263736 NIL ORDRING- (NIL T) -8 NIL NIL) (-838 2262867 2263348 2263377 "ORDMON" 2263382 T ORDMON (NIL) -9 NIL 2263403) (-837 2262029 2262176 2262371 "ORDFUNS" 2262716 NIL ORDFUNS (NIL NIL T) -7 NIL NIL) (-836 2261539 2261898 2261927 "ORDFIN" 2261932 T ORDFIN (NIL) -9 NIL 2261953) (-835 2258051 2260131 2260537 "ORDCOMP" 2261166 NIL ORDCOMP (NIL T) -8 NIL NIL) (-834 2257317 2257444 2257630 "ORDCOMP2" 2257911 NIL ORDCOMP2 (NIL T T) -7 NIL NIL) (-833 2253825 2254707 2255544 "OPTPROB" 2256500 T OPTPROB (NIL) -8 NIL NIL) (-832 2250627 2251266 2251970 "OPTPACK" 2253141 T OPTPACK (NIL) -7 NIL NIL) (-831 2248339 2249079 2249108 "OPTCAT" 2249927 T OPTCAT (NIL) -9 NIL 2250577) (-830 2248107 2248146 2248212 "OPQUERY" 2248293 T OPQUERY (NIL) -7 NIL NIL) (-829 2245233 2246424 2246925 "OP" 2247639 NIL OP (NIL T) -8 NIL NIL) (-828 2241998 2244036 2244402 "ONECOMP" 2244900 NIL ONECOMP (NIL T) -8 NIL NIL) (-827 2241303 2241418 2241592 "ONECOMP2" 2241870 NIL ONECOMP2 (NIL T T) -7 NIL NIL) (-826 2240722 2240828 2240958 "OMSERVER" 2241193 T OMSERVER (NIL) -7 NIL NIL) (-825 2237609 2240161 2240202 "OMSAGG" 2240263 NIL OMSAGG (NIL T) -9 NIL 2240327) (-824 2236232 2236495 2236777 "OMPKG" 2237347 T OMPKG (NIL) -7 NIL NIL) (-823 2235661 2235764 2235793 "OM" 2236092 T OM (NIL) -9 NIL NIL) (-822 2234199 2235212 2235380 "OMLO" 2235543 NIL OMLO (NIL T T) -8 NIL NIL) (-821 2233124 2233271 2233498 "OMEXPR" 2234025 NIL OMEXPR (NIL T) -7 NIL NIL) (-820 2232442 2232670 2232806 "OMERR" 2233008 T OMERR (NIL) -8 NIL NIL) (-819 2231620 2231863 2232023 "OMERRK" 2232302 T OMERRK (NIL) -8 NIL NIL) (-818 2231098 2231297 2231405 "OMENC" 2231532 T OMENC (NIL) -8 NIL NIL) (-817 2224993 2226178 2227349 "OMDEV" 2229947 T OMDEV (NIL) -8 NIL NIL) (-816 2224062 2224233 2224427 "OMCONN" 2224819 T OMCONN (NIL) -8 NIL NIL) (-815 2222673 2223659 2223688 "OINTDOM" 2223693 T OINTDOM (NIL) -9 NIL 2223714) (-814 2218324 2219579 2220323 "OFMONOID" 2221961 NIL OFMONOID (NIL T) -8 NIL NIL) (-813 2217762 2218261 2218306 "ODVAR" 2218311 NIL ODVAR (NIL T) -8 NIL NIL) (-812 2214889 2217261 2217445 "ODR" 2217638 NIL ODR (NIL T T NIL) -8 NIL NIL) (-811 2207187 2214665 2214791 "ODPOL" 2214796 NIL ODPOL (NIL T) -8 NIL NIL) (-810 2200981 2207059 2207164 "ODP" 2207169 NIL ODP (NIL NIL T NIL) -8 NIL NIL) (-809 2199747 2199962 2200237 "ODETOOLS" 2200755 NIL ODETOOLS (NIL T T) -7 NIL NIL) (-808 2196716 2197372 2198088 "ODESYS" 2199080 NIL ODESYS (NIL T T) -7 NIL NIL) (-807 2191600 2192508 2193532 "ODERTRIC" 2195792 NIL ODERTRIC (NIL T T) -7 NIL NIL) (-806 2191026 2191108 2191302 "ODERED" 2191512 NIL ODERED (NIL T T T T T) -7 NIL NIL) (-805 2187914 2188462 2189139 "ODERAT" 2190449 NIL ODERAT (NIL T T) -7 NIL NIL) (-804 2184874 2185338 2185935 "ODEPRRIC" 2187443 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL) (-803 2182745 2183312 2183821 "ODEPROB" 2184385 T ODEPROB (NIL) -8 NIL NIL) (-802 2179267 2179750 2180397 "ODEPRIM" 2182224 NIL ODEPRIM (NIL T T T T) -7 NIL NIL) (-801 2178516 2178618 2178878 "ODEPAL" 2179159 NIL ODEPAL (NIL T T T T) -7 NIL NIL) (-800 2174678 2175469 2176333 "ODEPACK" 2177672 T ODEPACK (NIL) -7 NIL NIL) (-799 2173711 2173818 2174047 "ODEINT" 2174567 NIL ODEINT (NIL T T) -7 NIL NIL) (-798 2167812 2169237 2170684 "ODEIFTBL" 2172284 T ODEIFTBL (NIL) -8 NIL NIL) (-797 2163147 2163933 2164892 "ODEEF" 2166971 NIL ODEEF (NIL T T) -7 NIL NIL) (-796 2162482 2162571 2162801 "ODECONST" 2163052 NIL ODECONST (NIL T T T) -7 NIL NIL) (-795 2160632 2161267 2161296 "ODECAT" 2161901 T ODECAT (NIL) -9 NIL 2162432) (-794 2157493 2160344 2160463 "OCT" 2160545 NIL OCT (NIL T) -8 NIL NIL) (-793 2157131 2157174 2157301 "OCTCT2" 2157444 NIL OCTCT2 (NIL T T T T) -7 NIL NIL) (-792 2151955 2154399 2154440 "OC" 2155537 NIL OC (NIL T) -9 NIL 2156387) (-791 2149182 2149930 2150920 "OC-" 2151014 NIL OC- (NIL T T) -8 NIL NIL) (-790 2148559 2149001 2149030 "OCAMON" 2149035 T OCAMON (NIL) -9 NIL 2149056) (-789 2148011 2148418 2148447 "OASGP" 2148452 T OASGP (NIL) -9 NIL 2148472) (-788 2147297 2147760 2147789 "OAMONS" 2147829 T OAMONS (NIL) -9 NIL 2147872) (-787 2146736 2147143 2147172 "OAMON" 2147177 T OAMON (NIL) -9 NIL 2147197) (-786 2146039 2146531 2146560 "OAGROUP" 2146565 T OAGROUP (NIL) -9 NIL 2146585) (-785 2145729 2145779 2145867 "NUMTUBE" 2145983 NIL NUMTUBE (NIL T) -7 NIL NIL) (-784 2139302 2140820 2142356 "NUMQUAD" 2144213 T NUMQUAD (NIL) -7 NIL NIL) (-783 2135058 2136046 2137071 "NUMODE" 2138297 T NUMODE (NIL) -7 NIL NIL) (-782 2132438 2133292 2133321 "NUMINT" 2134244 T NUMINT (NIL) -9 NIL 2135008) (-781 2131386 2131583 2131801 "NUMFMT" 2132240 T NUMFMT (NIL) -7 NIL NIL) (-780 2117764 2120706 2123230 "NUMERIC" 2128901 NIL NUMERIC (NIL T) -7 NIL NIL) (-779 2112167 2117212 2117308 "NTSCAT" 2117313 NIL NTSCAT (NIL T T T T) -9 NIL 2117352) (-778 2111363 2111528 2111720 "NTPOLFN" 2112007 NIL NTPOLFN (NIL T) -7 NIL NIL) (-777 2099159 2108190 2109001 "NSUP" 2110585 NIL NSUP (NIL T) -8 NIL NIL) (-776 2098791 2098848 2098957 "NSUP2" 2099096 NIL NSUP2 (NIL T T) -7 NIL NIL) (-775 2088742 2098565 2098698 "NSMP" 2098703 NIL NSMP (NIL T T) -8 NIL NIL) (-774 2076834 2088324 2088488 "NSDPS" 2088610 NIL NSDPS (NIL T) -8 NIL NIL) (-773 2075266 2075567 2075924 "NREP" 2076522 NIL NREP (NIL T) -7 NIL NIL) (-772 2072355 2072903 2073552 "NPOLYGON" 2074708 NIL NPOLYGON (NIL T T T NIL) -7 NIL NIL) (-771 2070946 2071198 2071556 "NPCOEF" 2072098 NIL NPCOEF (NIL T T T T T) -7 NIL NIL) (-770 2070228 2070730 2070814 "NOTTING" 2070894 NIL NOTTING (NIL T) -8 NIL NIL) (-769 2069294 2069409 2069625 "NORMRETR" 2070109 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL) (-768 2067335 2067625 2068034 "NORMPK" 2069002 NIL NORMPK (NIL T T T T T) -7 NIL NIL) (-767 2067020 2067048 2067172 "NORMMA" 2067301 NIL NORMMA (NIL T T T T) -7 NIL NIL) (-766 2066847 2066977 2067006 "NONE" 2067011 T NONE (NIL) -8 NIL NIL) (-765 2066636 2066665 2066734 "NONE1" 2066811 NIL NONE1 (NIL T) -7 NIL NIL) (-764 2066119 2066181 2066367 "NODE1" 2066568 NIL NODE1 (NIL T T) -7 NIL NIL) (-763 2064413 2065282 2065537 "NNI" 2065884 T NNI (NIL) -8 NIL NIL) (-762 2062833 2063146 2063510 "NLINSOL" 2064081 NIL NLINSOL (NIL T) -7 NIL NIL) (-761 2059001 2059968 2060890 "NIPROB" 2061931 T NIPROB (NIL) -8 NIL NIL) (-760 2057758 2057992 2058294 "NFINTBAS" 2058763 NIL NFINTBAS (NIL T T) -7 NIL NIL) (-759 2057487 2057530 2057611 "NEWTON" 2057709 NIL NEWTON (NIL T) -7 NIL NIL) (-758 2056195 2056426 2056707 "NCODIV" 2057255 NIL NCODIV (NIL T T) -7 NIL NIL) (-757 2055957 2055994 2056069 "NCNTFRAC" 2056152 NIL NCNTFRAC (NIL T) -7 NIL NIL) (-756 2054137 2054501 2054921 "NCEP" 2055582 NIL NCEP (NIL T) -7 NIL NIL) (-755 2053047 2053786 2053815 "NASRING" 2053925 T NASRING (NIL) -9 NIL 2053999) (-754 2052842 2052886 2052980 "NASRING-" 2052985 NIL NASRING- (NIL T) -8 NIL NIL) (-753 2051994 2052493 2052522 "NARNG" 2052639 T NARNG (NIL) -9 NIL 2052730) (-752 2051686 2051753 2051887 "NARNG-" 2051892 NIL NARNG- (NIL T) -8 NIL NIL) (-751 2050565 2050772 2051007 "NAGSP" 2051471 T NAGSP (NIL) -7 NIL NIL) (-750 2041837 2043521 2045194 "NAGS" 2048912 T NAGS (NIL) -7 NIL NIL) (-749 2040385 2040693 2041024 "NAGF07" 2041526 T NAGF07 (NIL) -7 NIL NIL) (-748 2034923 2036214 2037521 "NAGF04" 2039098 T NAGF04 (NIL) -7 NIL NIL) (-747 2027891 2029505 2031138 "NAGF02" 2033310 T NAGF02 (NIL) -7 NIL NIL) (-746 2023115 2024215 2025332 "NAGF01" 2026794 T NAGF01 (NIL) -7 NIL NIL) (-745 2016743 2018309 2019894 "NAGE04" 2021550 T NAGE04 (NIL) -7 NIL NIL) (-744 2007912 2010033 2012163 "NAGE02" 2014633 T NAGE02 (NIL) -7 NIL NIL) (-743 2003865 2004812 2005776 "NAGE01" 2006968 T NAGE01 (NIL) -7 NIL NIL) (-742 2001660 2002194 2002752 "NAGD03" 2003327 T NAGD03 (NIL) -7 NIL NIL) (-741 1993410 1995338 1997292 "NAGD02" 1999726 T NAGD02 (NIL) -7 NIL NIL) (-740 1987221 1988646 1990086 "NAGD01" 1991990 T NAGD01 (NIL) -7 NIL NIL) (-739 1983430 1984252 1985089 "NAGC06" 1986404 T NAGC06 (NIL) -7 NIL NIL) (-738 1981895 1982227 1982583 "NAGC05" 1983094 T NAGC05 (NIL) -7 NIL NIL) (-737 1981271 1981390 1981534 "NAGC02" 1981771 T NAGC02 (NIL) -7 NIL NIL) (-736 1980330 1980887 1980928 "NAALG" 1981007 NIL NAALG (NIL T) -9 NIL 1981068) (-735 1980165 1980194 1980284 "NAALG-" 1980289 NIL NAALG- (NIL T T) -8 NIL NIL) (-734 1971041 1979281 1979556 "MYUP" 1979936 NIL MYUP (NIL NIL T) -8 NIL NIL) (-733 1961404 1969497 1969868 "MYEXPR" 1970736 NIL MYEXPR (NIL NIL T) -8 NIL NIL) (-732 1955354 1956462 1957649 "MULTSQFR" 1960300 NIL MULTSQFR (NIL T T T T) -7 NIL NIL) (-731 1954673 1954748 1954932 "MULTFACT" 1955266 NIL MULTFACT (NIL T T T T) -7 NIL NIL) (-730 1947798 1951707 1951761 "MTSCAT" 1952831 NIL MTSCAT (NIL T T) -9 NIL 1953345) (-729 1947510 1947564 1947656 "MTHING" 1947738 NIL MTHING (NIL T) -7 NIL NIL) (-728 1947302 1947335 1947395 "MSYSCMD" 1947470 T MSYSCMD (NIL) -7 NIL NIL) (-727 1943414 1946057 1946377 "MSET" 1947015 NIL MSET (NIL T) -8 NIL NIL) (-726 1940508 1942974 1943016 "MSETAGG" 1943021 NIL MSETAGG (NIL T) -9 NIL 1943055) (-725 1936357 1937899 1938638 "MRING" 1939814 NIL MRING (NIL T T) -8 NIL NIL) (-724 1935923 1935990 1936121 "MRF2" 1936284 NIL MRF2 (NIL T T T) -7 NIL NIL) (-723 1935541 1935576 1935720 "MRATFAC" 1935882 NIL MRATFAC (NIL T T T T) -7 NIL NIL) (-722 1933153 1933448 1933879 "MPRFF" 1935246 NIL MPRFF (NIL T T T T) -7 NIL NIL) (-721 1927167 1933007 1933104 "MPOLY" 1933109 NIL MPOLY (NIL NIL T) -8 NIL NIL) (-720 1926657 1926692 1926900 "MPCPF" 1927126 NIL MPCPF (NIL T T T T) -7 NIL NIL) (-719 1926171 1926214 1926398 "MPC3" 1926608 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL) (-718 1925366 1925447 1925668 "MPC2" 1926086 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL) (-717 1923667 1924004 1924394 "MONOTOOL" 1925026 NIL MONOTOOL (NIL T T) -7 NIL NIL) (-716 1922790 1923125 1923154 "MONOID" 1923431 T MONOID (NIL) -9 NIL 1923603) (-715 1922168 1922331 1922574 "MONOID-" 1922579 NIL MONOID- (NIL T) -8 NIL NIL) (-714 1913094 1919079 1919139 "MONOGEN" 1919813 NIL MONOGEN (NIL T T) -9 NIL 1920266) (-713 1910312 1911047 1912047 "MONOGEN-" 1912166 NIL MONOGEN- (NIL T T T) -8 NIL NIL) (-712 1909170 1909590 1909619 "MONADWU" 1910011 T MONADWU (NIL) -9 NIL 1910249) (-711 1908542 1908701 1908949 "MONADWU-" 1908954 NIL MONADWU- (NIL T) -8 NIL NIL) (-710 1907926 1908144 1908173 "MONAD" 1908380 T MONAD (NIL) -9 NIL 1908492) (-709 1907611 1907689 1907821 "MONAD-" 1907826 NIL MONAD- (NIL T) -8 NIL NIL) (-708 1905862 1906524 1906803 "MOEBIUS" 1907364 NIL MOEBIUS (NIL T) -8 NIL NIL) (-707 1905253 1905631 1905672 "MODULE" 1905677 NIL MODULE (NIL T) -9 NIL 1905703) (-706 1904821 1904917 1905107 "MODULE-" 1905112 NIL MODULE- (NIL T T) -8 NIL NIL) (-705 1902490 1903185 1903512 "MODRING" 1904645 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL) (-704 1899436 1900601 1901119 "MODOP" 1902022 NIL MODOP (NIL T T) -8 NIL NIL) (-703 1897623 1898075 1898416 "MODMONOM" 1899235 NIL MODMONOM (NIL T T NIL) -8 NIL NIL) (-702 1887288 1895819 1896240 "MODMON" 1897253 NIL MODMON (NIL T T) -8 NIL NIL) (-701 1884414 1886132 1886408 "MODFIELD" 1887163 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL) (-700 1883418 1883695 1883885 "MMLFORM" 1884244 T MMLFORM (NIL) -8 NIL NIL) (-699 1882944 1882987 1883166 "MMAP" 1883369 NIL MMAP (NIL T T T T T T) -7 NIL NIL) (-698 1881169 1881946 1881988 "MLO" 1882411 NIL MLO (NIL T) -9 NIL 1882652) (-697 1878536 1879051 1879653 "MLIFT" 1880650 NIL MLIFT (NIL T T T T) -7 NIL NIL) (-696 1877927 1878011 1878165 "MKUCFUNC" 1878447 NIL MKUCFUNC (NIL T T T) -7 NIL NIL) (-695 1877526 1877596 1877719 "MKRECORD" 1877850 NIL MKRECORD (NIL T T) -7 NIL NIL) (-694 1876574 1876735 1876963 "MKFUNC" 1877337 NIL MKFUNC (NIL T) -7 NIL NIL) (-693 1875962 1876066 1876222 "MKFLCFN" 1876457 NIL MKFLCFN (NIL T) -7 NIL NIL) (-692 1875388 1875755 1875844 "MKCHSET" 1875906 NIL MKCHSET (NIL T) -8 NIL NIL) (-691 1874665 1874767 1874952 "MKBCFUNC" 1875281 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL) (-690 1871349 1874219 1874355 "MINT" 1874549 T MINT (NIL) -8 NIL NIL) (-689 1870161 1870404 1870681 "MHROWRED" 1871104 NIL MHROWRED (NIL T) -7 NIL NIL) (-688 1865428 1868602 1869028 "MFLOAT" 1869755 T MFLOAT (NIL) -8 NIL NIL) (-687 1864785 1864861 1865032 "MFINFACT" 1865340 NIL MFINFACT (NIL T T T T) -7 NIL NIL) (-686 1861100 1861948 1862832 "MESH" 1863921 T MESH (NIL) -7 NIL NIL) (-685 1859490 1859802 1860155 "MDDFACT" 1860787 NIL MDDFACT (NIL T) -7 NIL NIL) (-684 1856372 1858683 1858725 "MDAGG" 1858980 NIL MDAGG (NIL T) -9 NIL 1859123) (-683 1846060 1855665 1855872 "MCMPLX" 1856185 T MCMPLX (NIL) -8 NIL NIL) (-682 1845201 1845347 1845547 "MCDEN" 1845909 NIL MCDEN (NIL T T) -7 NIL NIL) (-681 1843091 1843361 1843741 "MCALCFN" 1844931 NIL MCALCFN (NIL T T T T) -7 NIL NIL) (-680 1840703 1841226 1841788 "MATSTOR" 1842562 NIL MATSTOR (NIL T) -7 NIL NIL) (-679 1836617 1840079 1840325 "MATRIX" 1840490 NIL MATRIX (NIL T) -8 NIL NIL) (-678 1832393 1833096 1833829 "MATLIN" 1835977 NIL MATLIN (NIL T T T T) -7 NIL NIL) (-677 1822158 1825379 1825457 "MATCAT" 1830587 NIL MATCAT (NIL T T T) -9 NIL 1832094) (-676 1818357 1819425 1820836 "MATCAT-" 1820841 NIL MATCAT- (NIL T T T T) -8 NIL NIL) (-675 1816951 1817104 1817437 "MATCAT2" 1818192 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-674 1815691 1815957 1816272 "MAPPKG4" 1816682 NIL MAPPKG4 (NIL T T) -7 NIL NIL) (-673 1813803 1814127 1814511 "MAPPKG3" 1815366 NIL MAPPKG3 (NIL T T T) -7 NIL NIL) (-672 1812784 1812957 1813179 "MAPPKG2" 1813627 NIL MAPPKG2 (NIL T T) -7 NIL NIL) (-671 1811283 1811567 1811894 "MAPPKG1" 1812490 NIL MAPPKG1 (NIL T) -7 NIL NIL) (-670 1810894 1810952 1811075 "MAPHACK3" 1811219 NIL MAPHACK3 (NIL T T T) -7 NIL NIL) (-669 1810486 1810547 1810661 "MAPHACK2" 1810826 NIL MAPHACK2 (NIL T T) -7 NIL NIL) (-668 1809924 1810027 1810169 "MAPHACK1" 1810377 NIL MAPHACK1 (NIL T) -7 NIL NIL) (-667 1808030 1808624 1808928 "MAGMA" 1809652 NIL MAGMA (NIL T) -8 NIL NIL) (-666 1804505 1806271 1806731 "M3D" 1807603 NIL M3D (NIL T) -8 NIL NIL) (-665 1798699 1802905 1802947 "LZSTAGG" 1803729 NIL LZSTAGG (NIL T) -9 NIL 1804024) (-664 1794673 1795830 1797287 "LZSTAGG-" 1797292 NIL LZSTAGG- (NIL T T) -8 NIL NIL) (-663 1791787 1792564 1793051 "LWORD" 1794218 NIL LWORD (NIL T) -8 NIL NIL) (-662 1784942 1791558 1791692 "LSQM" 1791697 NIL LSQM (NIL NIL T) -8 NIL NIL) (-661 1784166 1784305 1784533 "LSPP" 1784797 NIL LSPP (NIL T T T T) -7 NIL NIL) (-660 1781978 1782279 1782735 "LSMP" 1783855 NIL LSMP (NIL T T T T) -7 NIL NIL) (-659 1778757 1779431 1780161 "LSMP1" 1781280 NIL LSMP1 (NIL T) -7 NIL NIL) (-658 1772714 1777947 1777989 "LSAGG" 1778051 NIL LSAGG (NIL T) -9 NIL 1778129) (-657 1769409 1770333 1771546 "LSAGG-" 1771551 NIL LSAGG- (NIL T T) -8 NIL NIL) (-656 1767035 1768553 1768802 "LPOLY" 1769204 NIL LPOLY (NIL T T) -8 NIL NIL) (-655 1766617 1766702 1766825 "LPEFRAC" 1766944 NIL LPEFRAC (NIL T) -7 NIL NIL) (-654 1764181 1764430 1764862 "LPARSPT" 1766359 NIL LPARSPT (NIL T NIL T T T T T) -7 NIL NIL) (-653 1762656 1762983 1763343 "LOP" 1763853 NIL LOP (NIL T) -7 NIL NIL) (-652 1761005 1761752 1762004 "LO" 1762489 NIL LO (NIL T T T) -8 NIL NIL) (-651 1760656 1760768 1760797 "LOGIC" 1760908 T LOGIC (NIL) -9 NIL 1760989) (-650 1760518 1760541 1760612 "LOGIC-" 1760617 NIL LOGIC- (NIL T) -8 NIL NIL) (-649 1759711 1759851 1760044 "LODOOPS" 1760374 NIL LODOOPS (NIL T T) -7 NIL NIL) (-648 1757123 1759627 1759693 "LODO" 1759698 NIL LODO (NIL T NIL) -8 NIL NIL) (-647 1755663 1755898 1756250 "LODOF" 1756871 NIL LODOF (NIL T T) -7 NIL NIL) (-646 1752062 1754503 1754545 "LODOCAT" 1754983 NIL LODOCAT (NIL T) -9 NIL 1755193) (-645 1751795 1751853 1751980 "LODOCAT-" 1751985 NIL LODOCAT- (NIL T T) -8 NIL NIL) (-644 1749104 1751636 1751754 "LODO2" 1751759 NIL LODO2 (NIL T T) -8 NIL NIL) (-643 1746528 1749041 1749086 "LODO1" 1749091 NIL LODO1 (NIL T) -8 NIL NIL) (-642 1745388 1745553 1745865 "LODEEF" 1746351 NIL LODEEF (NIL T T T) -7 NIL NIL) (-641 1738215 1742380 1742421 "LOCPOWC" 1743883 NIL LOCPOWC (NIL T) -9 NIL 1744460) (-640 1733539 1736377 1736419 "LNAGG" 1737366 NIL LNAGG (NIL T) -9 NIL 1737809) (-639 1732686 1732900 1733242 "LNAGG-" 1733247 NIL LNAGG- (NIL T T) -8 NIL NIL) (-638 1728849 1729611 1730250 "LMOPS" 1732101 NIL LMOPS (NIL T T NIL) -8 NIL NIL) (-637 1728243 1728605 1728647 "LMODULE" 1728708 NIL LMODULE (NIL T) -9 NIL 1728750) (-636 1725495 1727888 1728011 "LMDICT" 1728153 NIL LMDICT (NIL T) -8 NIL NIL) (-635 1724652 1724786 1724973 "LISYSER" 1725357 NIL LISYSER (NIL T T) -7 NIL NIL) (-634 1717889 1723602 1723898 "LIST" 1724389 NIL LIST (NIL T) -8 NIL NIL) (-633 1717414 1717488 1717627 "LIST3" 1717809 NIL LIST3 (NIL T T T) -7 NIL NIL) (-632 1716421 1716599 1716827 "LIST2" 1717232 NIL LIST2 (NIL T T) -7 NIL NIL) (-631 1714555 1714867 1715266 "LIST2MAP" 1716068 NIL LIST2MAP (NIL T T) -7 NIL NIL) (-630 1713260 1713940 1713982 "LINEXP" 1714237 NIL LINEXP (NIL T) -9 NIL 1714386) (-629 1711907 1712167 1712464 "LINDEP" 1713012 NIL LINDEP (NIL T T) -7 NIL NIL) (-628 1708674 1709393 1710170 "LIMITRF" 1711162 NIL LIMITRF (NIL T) -7 NIL NIL) (-627 1706950 1707245 1707661 "LIMITPS" 1708369 NIL LIMITPS (NIL T T) -7 NIL NIL) (-626 1701409 1706465 1706691 "LIE" 1706773 NIL LIE (NIL T T) -8 NIL NIL) (-625 1700458 1700901 1700942 "LIECAT" 1701082 NIL LIECAT (NIL T) -9 NIL 1701232) (-624 1700299 1700326 1700414 "LIECAT-" 1700419 NIL LIECAT- (NIL T T) -8 NIL NIL) (-623 1692833 1699678 1699861 "LIB" 1700136 T LIB (NIL) -8 NIL NIL) (-622 1688470 1689351 1690286 "LGROBP" 1691950 NIL LGROBP (NIL NIL T) -7 NIL NIL) (-621 1685951 1686275 1686686 "LF" 1688143 NIL LF (NIL T T) -7 NIL NIL) (-620 1684648 1685378 1685407 "LFCAT" 1685682 T LFCAT (NIL) -9 NIL 1685857) (-619 1681552 1682180 1682868 "LEXTRIPK" 1684012 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL) (-618 1678258 1679122 1679625 "LEXP" 1681132 NIL LEXP (NIL T T NIL) -8 NIL NIL) (-617 1676656 1676969 1677370 "LEADCDET" 1677940 NIL LEADCDET (NIL T T T T) -7 NIL NIL) (-616 1675846 1675920 1676149 "LAZM3PK" 1676577 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL) (-615 1670762 1673929 1674464 "LAUPOL" 1675361 NIL LAUPOL (NIL T T) -8 NIL NIL) (-614 1670327 1670371 1670539 "LAPLACE" 1670712 NIL LAPLACE (NIL T T) -7 NIL NIL) (-613 1668257 1669430 1669680 "LA" 1670161 NIL LA (NIL T T T) -8 NIL NIL) (-612 1667313 1667907 1667949 "LALG" 1668011 NIL LALG (NIL T) -9 NIL 1668070) (-611 1667027 1667086 1667222 "LALG-" 1667227 NIL LALG- (NIL T T) -8 NIL NIL) (-610 1665931 1666118 1666417 "KOVACIC" 1666827 NIL KOVACIC (NIL T T) -7 NIL NIL) (-609 1665765 1665789 1665831 "KONVERT" 1665893 NIL KONVERT (NIL T) -9 NIL NIL) (-608 1665599 1665623 1665665 "KOERCE" 1665727 NIL KOERCE (NIL T) -9 NIL NIL) (-607 1663335 1664095 1664487 "KERNEL" 1665239 NIL KERNEL (NIL T) -8 NIL NIL) (-606 1662837 1662918 1663048 "KERNEL2" 1663249 NIL KERNEL2 (NIL T T) -7 NIL NIL) (-605 1656520 1661202 1661257 "KDAGG" 1661634 NIL KDAGG (NIL T T) -9 NIL 1661840) (-604 1656049 1656173 1656378 "KDAGG-" 1656383 NIL KDAGG- (NIL T T T) -8 NIL NIL) (-603 1649198 1655710 1655865 "KAFILE" 1655927 NIL KAFILE (NIL T) -8 NIL NIL) (-602 1643657 1648713 1648939 "JORDAN" 1649021 NIL JORDAN (NIL T T) -8 NIL NIL) (-601 1640000 1641900 1641955 "IXAGG" 1642884 NIL IXAGG (NIL T T) -9 NIL 1643339) (-600 1638919 1639225 1639644 "IXAGG-" 1639649 NIL IXAGG- (NIL T T T) -8 NIL NIL) (-599 1634503 1638841 1638900 "IVECTOR" 1638905 NIL IVECTOR (NIL T NIL) -8 NIL NIL) (-598 1633269 1633506 1633772 "ITUPLE" 1634270 NIL ITUPLE (NIL T) -8 NIL NIL) (-597 1631693 1631870 1632178 "ITRIGMNP" 1633091 NIL ITRIGMNP (NIL T T T) -7 NIL NIL) (-596 1630438 1630642 1630925 "ITFUN3" 1631469 NIL ITFUN3 (NIL T T T) -7 NIL NIL) (-595 1630070 1630127 1630236 "ITFUN2" 1630375 NIL ITFUN2 (NIL T T) -7 NIL NIL) (-594 1627863 1628934 1629232 "ITAYLOR" 1629805 NIL ITAYLOR (NIL T) -8 NIL NIL) (-593 1616802 1622002 1623164 "ISUPS" 1626734 NIL ISUPS (NIL T) -8 NIL NIL) (-592 1615906 1616046 1616282 "ISUMP" 1616649 NIL ISUMP (NIL T T T T) -7 NIL NIL) (-591 1611176 1615707 1615786 "ISTRING" 1615859 NIL ISTRING (NIL NIL) -8 NIL NIL) (-590 1610386 1610467 1610683 "IRURPK" 1611090 NIL IRURPK (NIL T T T T T) -7 NIL NIL) (-589 1609322 1609523 1609763 "IRSN" 1610166 T IRSN (NIL) -7 NIL NIL) (-588 1607353 1607708 1608143 "IRRF2F" 1608961 NIL IRRF2F (NIL T) -7 NIL NIL) (-587 1607100 1607138 1607214 "IRREDFFX" 1607309 NIL IRREDFFX (NIL T) -7 NIL NIL) (-586 1605715 1605974 1606273 "IROOT" 1606833 NIL IROOT (NIL T) -7 NIL NIL) (-585 1602351 1603403 1604093 "IR" 1605057 NIL IR (NIL T) -8 NIL NIL) (-584 1599964 1600459 1601025 "IR2" 1601829 NIL IR2 (NIL T T) -7 NIL NIL) (-583 1599036 1599149 1599370 "IR2F" 1599847 NIL IR2F (NIL T T) -7 NIL NIL) (-582 1598827 1598861 1598921 "IPRNTPK" 1598996 T IPRNTPK (NIL) -7 NIL NIL) (-581 1595381 1598716 1598785 "IPF" 1598790 NIL IPF (NIL NIL) -8 NIL NIL) (-580 1593698 1595306 1595363 "IPADIC" 1595368 NIL IPADIC (NIL NIL NIL) -8 NIL NIL) (-579 1593195 1593253 1593443 "INVLAPLA" 1593634 NIL INVLAPLA (NIL T T) -7 NIL NIL) (-578 1582844 1585197 1587583 "INTTR" 1590859 NIL INTTR (NIL T T) -7 NIL NIL) (-577 1579202 1579944 1580801 "INTTOOLS" 1582036 NIL INTTOOLS (NIL T T) -7 NIL NIL) (-576 1578788 1578879 1578996 "INTSLPE" 1579105 T INTSLPE (NIL) -7 NIL NIL) (-575 1576738 1578711 1578770 "INTRVL" 1578775 NIL INTRVL (NIL T) -8 NIL NIL) (-574 1574340 1574852 1575427 "INTRF" 1576223 NIL INTRF (NIL T) -7 NIL NIL) (-573 1573751 1573848 1573990 "INTRET" 1574238 NIL INTRET (NIL T) -7 NIL NIL) (-572 1571748 1572137 1572607 "INTRAT" 1573359 NIL INTRAT (NIL T T) -7 NIL NIL) (-571 1568984 1569567 1570189 "INTPM" 1571237 NIL INTPM (NIL T T) -7 NIL NIL) (-570 1565689 1566288 1567032 "INTPAF" 1568371 NIL INTPAF (NIL T T T) -7 NIL NIL) (-569 1560868 1561830 1562881 "INTPACK" 1564658 T INTPACK (NIL) -7 NIL NIL) (-568 1557722 1560597 1560724 "INT" 1560761 T INT (NIL) -8 NIL NIL) (-567 1556974 1557126 1557334 "INTHERTR" 1557564 NIL INTHERTR (NIL T T) -7 NIL NIL) (-566 1556413 1556493 1556681 "INTHERAL" 1556888 NIL INTHERAL (NIL T T T T) -7 NIL NIL) (-565 1554259 1554702 1555159 "INTHEORY" 1555976 T INTHEORY (NIL) -7 NIL NIL) (-564 1545570 1547190 1548968 "INTG0" 1552612 NIL INTG0 (NIL T T T) -7 NIL NIL) (-563 1526143 1530933 1535743 "INTFTBL" 1540780 T INTFTBL (NIL) -8 NIL NIL) (-562 1524180 1524387 1524788 "INTFRSP" 1525933 NIL INTFRSP (NIL T NIL T T T T T T) -7 NIL NIL) (-561 1523429 1523567 1523740 "INTFACT" 1524039 NIL INTFACT (NIL T) -7 NIL NIL) (-560 1523019 1523061 1523212 "INTERGB" 1523381 NIL INTERGB (NIL T NIL T T T) -7 NIL NIL) (-559 1520404 1520850 1521414 "INTEF" 1522573 NIL INTEF (NIL T T) -7 NIL NIL) (-558 1518861 1519610 1519639 "INTDOM" 1519940 T INTDOM (NIL) -9 NIL 1520147) (-557 1518230 1518404 1518646 "INTDOM-" 1518651 NIL INTDOM- (NIL T) -8 NIL NIL) (-556 1516834 1516939 1517329 "INTDIVP" 1518120 NIL INTDIVP (NIL T NIL T T T T T T T T T) -7 NIL NIL) (-555 1513320 1515250 1515305 "INTCAT" 1516104 NIL INTCAT (NIL T) -9 NIL 1516425) (-554 1512793 1512895 1513023 "INTBIT" 1513212 T INTBIT (NIL) -7 NIL NIL) (-553 1511464 1511618 1511932 "INTALG" 1512638 NIL INTALG (NIL T T T T T) -7 NIL NIL) (-552 1510921 1511011 1511181 "INTAF" 1511368 NIL INTAF (NIL T T) -7 NIL NIL) (-551 1504387 1510731 1510871 "INTABL" 1510876 NIL INTABL (NIL T T T) -8 NIL NIL) (-550 1499332 1502058 1502087 "INS" 1503055 T INS (NIL) -9 NIL 1503738) (-549 1496572 1497343 1498317 "INS-" 1498390 NIL INS- (NIL T) -8 NIL NIL) (-548 1495347 1495574 1495872 "INPSIGN" 1496325 NIL INPSIGN (NIL T T) -7 NIL NIL) (-547 1494465 1494582 1494779 "INPRODPF" 1495227 NIL INPRODPF (NIL T T) -7 NIL NIL) (-546 1493359 1493476 1493713 "INPRODFF" 1494345 NIL INPRODFF (NIL T T T T) -7 NIL NIL) (-545 1492359 1492511 1492771 "INNMFACT" 1493195 NIL INNMFACT (NIL T T T T) -7 NIL NIL) (-544 1491556 1491653 1491841 "INMODGCD" 1492258 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL) (-543 1490065 1490309 1490633 "INFSP" 1491301 NIL INFSP (NIL T T T) -7 NIL NIL) (-542 1489249 1489366 1489549 "INFPROD0" 1489945 NIL INFPROD0 (NIL T T) -7 NIL NIL) (-541 1486130 1487314 1487829 "INFORM" 1488742 T INFORM (NIL) -8 NIL NIL) (-540 1485740 1485800 1485898 "INFORM1" 1486065 NIL INFORM1 (NIL T) -7 NIL NIL) (-539 1485263 1485352 1485466 "INFINITY" 1485646 T INFINITY (NIL) -7 NIL NIL) (-538 1482946 1483943 1484286 "INFCLSPT" 1485123 NIL INFCLSPT (NIL T NIL T T T T T T T) -8 NIL NIL) (-537 1480823 1482068 1482362 "INFCLSPS" 1482716 NIL INFCLSPS (NIL T NIL T) -8 NIL NIL) (-536 1473373 1474296 1474517 "INFCLCT" 1479948 NIL INFCLCT (NIL T NIL T T T T T T T) -9 NIL 1480759) (-535 1471991 1472239 1472560 "INEP" 1473121 NIL INEP (NIL T T T) -7 NIL NIL) (-534 1471267 1471888 1471953 "INDE" 1471958 NIL INDE (NIL T) -8 NIL NIL) (-533 1470831 1470899 1471016 "INCRMAPS" 1471194 NIL INCRMAPS (NIL T) -7 NIL NIL) (-532 1466142 1467067 1468011 "INBFF" 1469919 NIL INBFF (NIL T) -7 NIL NIL) (-531 1462537 1465986 1466090 "IMATRIX" 1466095 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL) (-530 1461251 1461374 1461688 "IMATQF" 1462394 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL) (-529 1459473 1459700 1460036 "IMATLIN" 1461008 NIL IMATLIN (NIL T T T T) -7 NIL NIL) (-528 1454105 1459397 1459455 "ILIST" 1459460 NIL ILIST (NIL T NIL) -8 NIL NIL) (-527 1452064 1453965 1454078 "IIARRAY2" 1454083 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL) (-526 1447432 1451975 1452039 "IFF" 1452044 NIL IFF (NIL NIL NIL) -8 NIL NIL) (-525 1442481 1446724 1446912 "IFARRAY" 1447289 NIL IFARRAY (NIL T NIL) -8 NIL NIL) (-524 1441688 1442385 1442458 "IFAMON" 1442463 NIL IFAMON (NIL T T NIL) -8 NIL NIL) (-523 1441271 1441336 1441391 "IEVALAB" 1441598 NIL IEVALAB (NIL T T) -9 NIL NIL) (-522 1440946 1441014 1441174 "IEVALAB-" 1441179 NIL IEVALAB- (NIL T T T) -8 NIL NIL) (-521 1440604 1440860 1440923 "IDPO" 1440928 NIL IDPO (NIL T T) -8 NIL NIL) (-520 1439881 1440493 1440568 "IDPOAMS" 1440573 NIL IDPOAMS (NIL T T) -8 NIL NIL) (-519 1439215 1439770 1439845 "IDPOAM" 1439850 NIL IDPOAM (NIL T T) -8 NIL NIL) (-518 1438299 1438549 1438603 "IDPC" 1439016 NIL IDPC (NIL T T) -9 NIL 1439165) (-517 1437795 1438191 1438264 "IDPAM" 1438269 NIL IDPAM (NIL T T) -8 NIL NIL) (-516 1437198 1437687 1437760 "IDPAG" 1437765 NIL IDPAG (NIL T T) -8 NIL NIL) (-515 1433453 1434301 1435196 "IDECOMP" 1436355 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL) (-514 1426329 1427378 1428424 "IDEAL" 1432490 NIL IDEAL (NIL T T T T) -8 NIL NIL) (-513 1424346 1425493 1425766 "ICP" 1426120 NIL ICP (NIL T NIL T) -8 NIL NIL) (-512 1423510 1423622 1423821 "ICDEN" 1424230 NIL ICDEN (NIL T T T T) -7 NIL NIL) (-511 1422609 1422990 1423137 "ICARD" 1423383 T ICARD (NIL) -8 NIL NIL) (-510 1420669 1420982 1421387 "IBPTOOLS" 1422286 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL) (-509 1416283 1420289 1420402 "IBITS" 1420588 NIL IBITS (NIL NIL) -8 NIL NIL) (-508 1413006 1413582 1414277 "IBATOOL" 1415700 NIL IBATOOL (NIL T T T) -7 NIL NIL) (-507 1410786 1411247 1411780 "IBACHIN" 1412541 NIL IBACHIN (NIL T T T) -7 NIL NIL) (-506 1408669 1410632 1410735 "IARRAY2" 1410740 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL) (-505 1404828 1408595 1408652 "IARRAY1" 1408657 NIL IARRAY1 (NIL T NIL) -8 NIL NIL) (-504 1398758 1403240 1403721 "IAN" 1404367 T IAN (NIL) -8 NIL NIL) (-503 1398269 1398326 1398499 "IALGFACT" 1398695 NIL IALGFACT (NIL T T T T) -7 NIL NIL) (-502 1397796 1397909 1397938 "HYPCAT" 1398145 T HYPCAT (NIL) -9 NIL NIL) (-501 1397334 1397451 1397637 "HYPCAT-" 1397642 NIL HYPCAT- (NIL T) -8 NIL NIL) (-500 1396338 1396615 1396805 "HTMLFORM" 1397164 T HTMLFORM (NIL) -8 NIL NIL) (-499 1393127 1394452 1394494 "HOAGG" 1395475 NIL HOAGG (NIL T) -9 NIL 1396084) (-498 1391721 1392120 1392646 "HOAGG-" 1392651 NIL HOAGG- (NIL T T) -8 NIL NIL) (-497 1385539 1391159 1391326 "HEXADEC" 1391574 T HEXADEC (NIL) -8 NIL NIL) (-496 1384287 1384509 1384772 "HEUGCD" 1385316 NIL HEUGCD (NIL T) -7 NIL NIL) (-495 1383390 1384124 1384254 "HELLFDIV" 1384259 NIL HELLFDIV (NIL T T T T) -8 NIL NIL) (-494 1377107 1378650 1379731 "HEAP" 1382341 NIL HEAP (NIL T) -8 NIL NIL) (-493 1370945 1377022 1377084 "HDP" 1377089 NIL HDP (NIL NIL T) -8 NIL NIL) (-492 1364650 1370580 1370732 "HDMP" 1370846 NIL HDMP (NIL NIL T) -8 NIL NIL) (-491 1363975 1364114 1364278 "HB" 1364506 T HB (NIL) -7 NIL NIL) (-490 1357484 1363821 1363925 "HASHTBL" 1363930 NIL HASHTBL (NIL T T NIL) -8 NIL NIL) (-489 1355231 1357106 1357288 "HACKPI" 1357322 T HACKPI (NIL) -8 NIL NIL) (-488 1337379 1341248 1345251 "GUESSUP" 1351261 NIL GUESSUP (NIL NIL) -7 NIL NIL) (-487 1308476 1315517 1322213 "GUESSP" 1330703 T GUESSP (NIL) -7 NIL NIL) (-486 1275291 1280562 1285946 "GUESS" 1303420 NIL GUESS (NIL T T T T NIL NIL) -7 NIL NIL) (-485 1248796 1255193 1261329 "GUESSINT" 1269175 T GUESSINT (NIL) -7 NIL NIL) (-484 1224167 1229617 1235184 "GUESSF" 1243281 NIL GUESSF (NIL T) -7 NIL NIL) (-483 1223889 1223926 1224021 "GUESSF1" 1224124 NIL GUESSF1 (NIL T) -7 NIL NIL) (-482 1200050 1205584 1211199 "GUESSAN" 1218294 T GUESSAN (NIL) -7 NIL NIL) (-481 1195745 1199903 1200016 "GTSET" 1200021 NIL GTSET (NIL T T T T) -8 NIL NIL) (-480 1189283 1195623 1195721 "GSTBL" 1195726 NIL GSTBL (NIL T T T NIL) -8 NIL NIL) (-479 1181513 1188316 1188580 "GSERIES" 1189075 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL) (-478 1180534 1180987 1181016 "GROUP" 1181277 T GROUP (NIL) -9 NIL 1181436) (-477 1179650 1179873 1180217 "GROUP-" 1180222 NIL GROUP- (NIL T) -8 NIL NIL) (-476 1178019 1178338 1178725 "GROEBSOL" 1179327 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL) (-475 1176958 1177220 1177272 "GRMOD" 1177801 NIL GRMOD (NIL T T) -9 NIL 1177969) (-474 1176726 1176762 1176890 "GRMOD-" 1176895 NIL GRMOD- (NIL T T T) -8 NIL NIL) (-473 1172055 1173080 1174080 "GRIMAGE" 1175746 T GRIMAGE (NIL) -8 NIL NIL) (-472 1170522 1170782 1171106 "GRDEF" 1171751 T GRDEF (NIL) -7 NIL NIL) (-471 1169966 1170082 1170223 "GRAY" 1170401 T GRAY (NIL) -7 NIL NIL) (-470 1169196 1169576 1169628 "GRALG" 1169781 NIL GRALG (NIL T T) -9 NIL 1169874) (-469 1168857 1168930 1169093 "GRALG-" 1169098 NIL GRALG- (NIL T T T) -8 NIL NIL) (-468 1165661 1168442 1168620 "GPOLSET" 1168764 NIL GPOLSET (NIL T T T T) -8 NIL NIL) (-467 1147864 1149354 1150943 "GPAFF" 1164352 NIL GPAFF (NIL T NIL T T T T T T T T T) -7 NIL NIL) (-466 1147218 1147275 1147533 "GOSPER" 1147801 NIL GOSPER (NIL T T T T T) -7 NIL NIL) (-465 1144611 1145205 1145694 "GOPT" 1146749 T GOPT (NIL) -8 NIL NIL) (-464 1141832 1142473 1143010 "GOPT0" 1144094 T GOPT0 (NIL) -8 NIL NIL) (-463 1137591 1138270 1138796 "GMODPOL" 1141531 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL) (-462 1136596 1136780 1137018 "GHENSEL" 1137403 NIL GHENSEL (NIL T T) -7 NIL NIL) (-461 1130647 1131490 1132517 "GENUPS" 1135680 NIL GENUPS (NIL T T) -7 NIL NIL) (-460 1130344 1130395 1130484 "GENUFACT" 1130590 NIL GENUFACT (NIL T) -7 NIL NIL) (-459 1129756 1129833 1129998 "GENPGCD" 1130262 NIL GENPGCD (NIL T T T T) -7 NIL NIL) (-458 1129230 1129265 1129478 "GENMFACT" 1129715 NIL GENMFACT (NIL T T T T T) -7 NIL NIL) (-457 1127798 1128053 1128360 "GENEEZ" 1128973 NIL GENEEZ (NIL T T) -7 NIL NIL) (-456 1126342 1126619 1126943 "GDRAW" 1127494 T GDRAW (NIL) -7 NIL NIL) (-455 1120209 1125953 1126115 "GDMP" 1126265 NIL GDMP (NIL NIL T T) -8 NIL NIL) (-454 1109593 1113982 1115087 "GCNAALG" 1119193 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL) (-453 1108010 1108882 1108911 "GCDDOM" 1109166 T GCDDOM (NIL) -9 NIL 1109323) (-452 1107480 1107607 1107822 "GCDDOM-" 1107827 NIL GCDDOM- (NIL T) -8 NIL NIL) (-451 1106154 1106339 1106642 "GB" 1107260 NIL GB (NIL T T T T) -7 NIL NIL) (-450 1094774 1097100 1099492 "GBINTERN" 1103845 NIL GBINTERN (NIL T T T T) -7 NIL NIL) (-449 1092611 1092903 1093324 "GBF" 1094449 NIL GBF (NIL T T T T) -7 NIL NIL) (-448 1091392 1091557 1091824 "GBEUCLID" 1092427 NIL GBEUCLID (NIL T T T T) -7 NIL NIL) (-447 1090741 1090866 1091015 "GAUSSFAC" 1091263 T GAUSSFAC (NIL) -7 NIL NIL) (-446 1089110 1089412 1089725 "GALUTIL" 1090461 NIL GALUTIL (NIL T) -7 NIL NIL) (-445 1087418 1087692 1088016 "GALPOLYU" 1088837 NIL GALPOLYU (NIL T T) -7 NIL NIL) (-444 1084783 1085073 1085480 "GALFACTU" 1087115 NIL GALFACTU (NIL T T T) -7 NIL NIL) (-443 1076589 1078088 1079696 "GALFACT" 1083215 NIL GALFACT (NIL T) -7 NIL NIL) (-442 1073977 1074634 1074663 "FVFUN" 1075819 T FVFUN (NIL) -9 NIL 1076539) (-441 1073243 1073424 1073453 "FVC" 1073744 T FVC (NIL) -9 NIL 1073927) (-440 1072885 1073040 1073121 "FUNCTION" 1073195 NIL FUNCTION (NIL NIL) -8 NIL NIL) (-439 1070555 1071106 1071595 "FT" 1072416 T FT (NIL) -8 NIL NIL) (-438 1069347 1069856 1070059 "FTEM" 1070372 T FTEM (NIL) -8 NIL NIL) (-437 1067605 1067894 1068297 "FSUPFACT" 1069039 NIL FSUPFACT (NIL T T T) -7 NIL NIL) (-436 1066002 1066291 1066623 "FST" 1067293 T FST (NIL) -8 NIL NIL) (-435 1065173 1065279 1065474 "FSRED" 1065884 NIL FSRED (NIL T T) -7 NIL NIL) (-434 1063854 1064109 1064462 "FSPRMELT" 1064889 NIL FSPRMELT (NIL T T) -7 NIL NIL) (-433 1059220 1059925 1060682 "FSPECF" 1063159 NIL FSPECF (NIL T T) -7 NIL NIL) (-432 1041478 1050067 1050108 "FS" 1053956 NIL FS (NIL T) -9 NIL 1056234) (-431 1030128 1033118 1037174 "FS-" 1037471 NIL FS- (NIL T T) -8 NIL NIL) (-430 1029642 1029696 1029873 "FSINT" 1030069 NIL FSINT (NIL T T) -7 NIL NIL) (-429 1027927 1028639 1028940 "FSERIES" 1029423 NIL FSERIES (NIL T T) -8 NIL NIL) (-428 1026941 1027057 1027288 "FSCINT" 1027807 NIL FSCINT (NIL T T) -7 NIL NIL) (-427 1023176 1025886 1025928 "FSAGG" 1026298 NIL FSAGG (NIL T) -9 NIL 1026555) (-426 1020938 1021539 1022335 "FSAGG-" 1022430 NIL FSAGG- (NIL T T) -8 NIL NIL) (-425 1019980 1020123 1020350 "FSAGG2" 1020791 NIL FSAGG2 (NIL T T T T) -7 NIL NIL) (-424 1017635 1017914 1018468 "FS2UPS" 1019698 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL) (-423 1017217 1017260 1017415 "FS2" 1017586 NIL FS2 (NIL T T T T) -7 NIL NIL) (-422 1016074 1016245 1016554 "FS2EXPXP" 1017042 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL) (-421 1015500 1015615 1015767 "FRUTIL" 1015954 NIL FRUTIL (NIL T) -7 NIL NIL) (-420 1006926 1011011 1012361 "FR" 1014182 NIL FR (NIL T) -8 NIL NIL) (-419 1002006 1004644 1004685 "FRNAALG" 1006081 NIL FRNAALG (NIL T) -9 NIL 1006687) (-418 997685 998755 1000030 "FRNAALG-" 1000780 NIL FRNAALG- (NIL T T) -8 NIL NIL) (-417 997323 997366 997493 "FRNAAF2" 997636 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL) (-416 995686 996179 996473 "FRMOD" 997136 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL) (-415 993401 994069 994386 "FRIDEAL" 995477 NIL FRIDEAL (NIL T T T T) -8 NIL NIL) (-414 992596 992683 992972 "FRIDEAL2" 993308 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL) (-413 991839 992253 992295 "FRETRCT" 992300 NIL FRETRCT (NIL T) -9 NIL 992474) (-412 990951 991182 991533 "FRETRCT-" 991538 NIL FRETRCT- (NIL T T) -8 NIL NIL) (-411 988156 989376 989436 "FRAMALG" 990318 NIL FRAMALG (NIL T T) -9 NIL 990610) (-410 986289 986745 987375 "FRAMALG-" 987598 NIL FRAMALG- (NIL T T T) -8 NIL NIL) (-409 980192 985774 986045 "FRAC" 986050 NIL FRAC (NIL T) -8 NIL NIL) (-408 979828 979885 979992 "FRAC2" 980129 NIL FRAC2 (NIL T T) -7 NIL NIL) (-407 979464 979521 979628 "FR2" 979765 NIL FR2 (NIL T T) -7 NIL NIL) (-406 974086 976995 977024 "FPS" 978143 T FPS (NIL) -9 NIL 978697) (-405 973535 973644 973808 "FPS-" 973954 NIL FPS- (NIL T) -8 NIL NIL) (-404 970931 972628 972657 "FPC" 972882 T FPC (NIL) -9 NIL 973024) (-403 970724 970764 970861 "FPC-" 970866 NIL FPC- (NIL T) -8 NIL NIL) (-402 969603 970213 970255 "FPATMAB" 970260 NIL FPATMAB (NIL T) -9 NIL 970410) (-401 967303 967779 968205 "FPARFRAC" 969240 NIL FPARFRAC (NIL T T) -8 NIL NIL) (-400 962698 963195 963877 "FORTRAN" 966735 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL) (-399 960414 960914 961453 "FORT" 962179 T FORT (NIL) -7 NIL NIL) (-398 958090 958651 958680 "FORTFN" 959740 T FORTFN (NIL) -9 NIL 960364) (-397 957853 957903 957932 "FORTCAT" 957991 T FORTCAT (NIL) -9 NIL 958053) (-396 955913 956396 956795 "FORMULA" 957474 T FORMULA (NIL) -8 NIL NIL) (-395 955701 955731 955800 "FORMULA1" 955877 NIL FORMULA1 (NIL T) -7 NIL NIL) (-394 955224 955276 955449 "FORDER" 955643 NIL FORDER (NIL T T T T) -7 NIL NIL) (-393 954320 954484 954677 "FOP" 955051 T FOP (NIL) -7 NIL NIL) (-392 952928 953600 953774 "FNLA" 954202 NIL FNLA (NIL NIL NIL T) -8 NIL NIL) (-391 951595 951984 952013 "FNCAT" 952585 T FNCAT (NIL) -9 NIL 952878) (-390 951161 951554 951582 "FNAME" 951587 T FNAME (NIL) -8 NIL NIL) (-389 949814 950787 950816 "FMTC" 950821 T FMTC (NIL) -9 NIL 950857) (-388 946132 947339 947967 "FMONOID" 949219 NIL FMONOID (NIL T) -8 NIL NIL) (-387 945353 945876 946024 "FM" 946029 NIL FM (NIL T T) -8 NIL NIL) (-386 942777 943422 943451 "FMFUN" 944595 T FMFUN (NIL) -9 NIL 945303) (-385 942046 942226 942255 "FMC" 942545 T FMC (NIL) -9 NIL 942727) (-384 939258 940092 940147 "FMCAT" 941342 NIL FMCAT (NIL T T) -9 NIL 941836) (-383 938151 939024 939124 "FM1" 939203 NIL FM1 (NIL T T) -8 NIL NIL) (-382 935925 936341 936835 "FLOATRP" 937702 NIL FLOATRP (NIL T) -7 NIL NIL) (-381 929412 933581 934211 "FLOAT" 935315 T FLOAT (NIL) -8 NIL NIL) (-380 926850 927350 927928 "FLOATCP" 928879 NIL FLOATCP (NIL T) -7 NIL NIL) (-379 925635 926483 926525 "FLINEXP" 926530 NIL FLINEXP (NIL T) -9 NIL 926622) (-378 924789 925024 925352 "FLINEXP-" 925357 NIL FLINEXP- (NIL T T) -8 NIL NIL) (-377 923865 924009 924233 "FLASORT" 924641 NIL FLASORT (NIL T T) -7 NIL NIL) (-376 921081 921923 921976 "FLALG" 923203 NIL FLALG (NIL T T) -9 NIL 923670) (-375 914900 918594 918636 "FLAGG" 919898 NIL FLAGG (NIL T) -9 NIL 920546) (-374 913626 913965 914455 "FLAGG-" 914460 NIL FLAGG- (NIL T T) -8 NIL NIL) (-373 912668 912811 913038 "FLAGG2" 913479 NIL FLAGG2 (NIL T T T T) -7 NIL NIL) (-372 909639 910657 910717 "FINRALG" 911845 NIL FINRALG (NIL T T) -9 NIL 912350) (-371 908799 909028 909367 "FINRALG-" 909372 NIL FINRALG- (NIL T T T) -8 NIL NIL) (-370 908204 908417 908446 "FINITE" 908642 T FINITE (NIL) -9 NIL 908749) (-369 900662 902823 902864 "FINAALG" 906531 NIL FINAALG (NIL T) -9 NIL 907983) (-368 896002 897044 898188 "FINAALG-" 899567 NIL FINAALG- (NIL T T) -8 NIL NIL) (-367 895372 895757 895860 "FILE" 895932 NIL FILE (NIL T) -8 NIL NIL) (-366 893912 894249 894304 "FILECAT" 895082 NIL FILECAT (NIL T T) -9 NIL 895322) (-365 891722 893278 893307 "FIELD" 893347 T FIELD (NIL) -9 NIL 893427) (-364 890342 890727 891238 "FIELD-" 891243 NIL FIELD- (NIL T) -8 NIL NIL) (-363 888155 888977 889324 "FGROUP" 890028 NIL FGROUP (NIL T) -8 NIL NIL) (-362 887245 887409 887629 "FGLMICPK" 887987 NIL FGLMICPK (NIL T NIL) -7 NIL NIL) (-361 883047 887170 887227 "FFX" 887232 NIL FFX (NIL T NIL) -8 NIL NIL) (-360 882587 882654 882776 "FFSQFR" 882975 NIL FFSQFR (NIL T T) -7 NIL NIL) (-359 882188 882249 882384 "FFSLPE" 882520 NIL FFSLPE (NIL T T T) -7 NIL NIL) (-358 878184 878960 879756 "FFPOLY" 881424 NIL FFPOLY (NIL T) -7 NIL NIL) (-357 877688 877724 877933 "FFPOLY2" 878142 NIL FFPOLY2 (NIL T T) -7 NIL NIL) (-356 873510 877607 877670 "FFP" 877675 NIL FFP (NIL T NIL) -8 NIL NIL) (-355 868878 873421 873485 "FF" 873490 NIL FF (NIL NIL NIL) -8 NIL NIL) (-354 863974 868221 868411 "FFNBX" 868732 NIL FFNBX (NIL T NIL) -8 NIL NIL) (-353 858884 863109 863367 "FFNBP" 863828 NIL FFNBP (NIL T NIL) -8 NIL NIL) (-352 853487 858168 858379 "FFNB" 858717 NIL FFNB (NIL NIL NIL) -8 NIL NIL) (-351 852319 852517 852832 "FFINTBAS" 853284 NIL FFINTBAS (NIL T T T) -7 NIL NIL) (-350 848495 850730 850759 "FFIELDC" 851379 T FFIELDC (NIL) -9 NIL 851755) (-349 847158 847528 848025 "FFIELDC-" 848030 NIL FFIELDC- (NIL T) -8 NIL NIL) (-348 846728 846773 846897 "FFHOM" 847100 NIL FFHOM (NIL T T T) -7 NIL NIL) (-347 844426 844910 845427 "FFF" 846243 NIL FFF (NIL T) -7 NIL NIL) (-346 840122 840887 841731 "FFFG" 843650 NIL FFFG (NIL T T) -7 NIL NIL) (-345 838848 839057 839379 "FFFGF" 839900 NIL FFFGF (NIL T T T) -7 NIL NIL) (-344 837599 837796 838044 "FFFACTSE" 838650 NIL FFFACTSE (NIL T T) -7 NIL NIL) (-343 833187 837341 837442 "FFCGX" 837542 NIL FFCGX (NIL T NIL) -8 NIL NIL) (-342 828789 832919 833026 "FFCGP" 833130 NIL FFCGP (NIL T NIL) -8 NIL NIL) (-341 823942 828516 828624 "FFCG" 828725 NIL FFCG (NIL NIL NIL) -8 NIL NIL) (-340 805731 814853 814940 "FFCAT" 820105 NIL FFCAT (NIL T T T) -9 NIL 821590) (-339 800929 801976 803290 "FFCAT-" 804520 NIL FFCAT- (NIL T T T T) -8 NIL NIL) (-338 800340 800383 800618 "FFCAT2" 800880 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-337 789510 793316 794534 "FEXPR" 799194 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL) (-336 788512 788947 788989 "FEVALAB" 789073 NIL FEVALAB (NIL T) -9 NIL 789331) (-335 787671 787881 788219 "FEVALAB-" 788224 NIL FEVALAB- (NIL T T) -8 NIL NIL) (-334 786264 787054 787257 "FDIV" 787570 NIL FDIV (NIL T T T T) -8 NIL NIL) (-333 783329 784044 784160 "FDIVCAT" 785728 NIL FDIVCAT (NIL T T T T) -9 NIL 786165) (-332 783091 783118 783288 "FDIVCAT-" 783293 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL) (-331 782311 782398 782675 "FDIV2" 782998 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL) (-330 780997 781256 781545 "FCPAK1" 782042 T FCPAK1 (NIL) -7 NIL NIL) (-329 780125 780497 780638 "FCOMP" 780888 NIL FCOMP (NIL T) -8 NIL NIL) (-328 763753 767168 770731 "FC" 776582 T FC (NIL) -8 NIL NIL) (-327 756297 760340 760381 "FAXF" 762183 NIL FAXF (NIL T) -9 NIL 762874) (-326 753577 754231 755056 "FAXF-" 755521 NIL FAXF- (NIL T T) -8 NIL NIL) (-325 748683 752953 753129 "FARRAY" 753434 NIL FARRAY (NIL T) -8 NIL NIL) (-324 744001 746077 746131 "FAMR" 747154 NIL FAMR (NIL T T) -9 NIL 747611) (-323 742891 743193 743628 "FAMR-" 743633 NIL FAMR- (NIL T T T) -8 NIL NIL) (-322 742479 742522 742673 "FAMR2" 742842 NIL FAMR2 (NIL T T T T T) -7 NIL NIL) (-321 741675 742401 742454 "FAMONOID" 742459 NIL FAMONOID (NIL T) -8 NIL NIL) (-320 739505 740189 740243 "FAMONC" 741184 NIL FAMONC (NIL T T) -9 NIL 741569) (-319 738199 739261 739397 "FAGROUP" 739402 NIL FAGROUP (NIL T) -8 NIL NIL) (-318 735994 736313 736716 "FACUTIL" 737880 NIL FACUTIL (NIL T T T T) -7 NIL NIL) (-317 735410 735519 735665 "FACTRN" 735880 NIL FACTRN (NIL T) -7 NIL NIL) (-316 734509 734694 734916 "FACTFUNC" 735220 NIL FACTFUNC (NIL T) -7 NIL NIL) (-315 733925 734034 734180 "FACTEXT" 734395 NIL FACTEXT (NIL T) -7 NIL NIL) (-314 726245 733176 733388 "EXPUPXS" 733781 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL) (-313 723728 724268 724854 "EXPRTUBE" 725679 T EXPRTUBE (NIL) -7 NIL NIL) (-312 722899 722994 723214 "EXPRSOL" 723628 NIL EXPRSOL (NIL T T T T) -7 NIL NIL) (-311 719093 719685 720422 "EXPRODE" 722238 NIL EXPRODE (NIL T T) -7 NIL NIL) (-310 704114 717754 718179 "EXPR" 718700 NIL EXPR (NIL T) -8 NIL NIL) (-309 698521 699108 699921 "EXPR2UPS" 703412 NIL EXPR2UPS (NIL T T) -7 NIL NIL) (-308 698157 698214 698321 "EXPR2" 698458 NIL EXPR2 (NIL T T) -7 NIL NIL) (-307 689497 697289 697586 "EXPEXPAN" 697994 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL) (-306 689209 689260 689337 "EXP3D" 689440 T EXP3D (NIL) -7 NIL NIL) (-305 689036 689166 689195 "EXIT" 689200 T EXIT (NIL) -8 NIL NIL) (-304 688663 688725 688838 "EVALCYC" 688968 NIL EVALCYC (NIL T) -7 NIL NIL) (-303 688205 688321 688363 "EVALAB" 688533 NIL EVALAB (NIL T) -9 NIL 688637) (-302 687686 687808 688029 "EVALAB-" 688034 NIL EVALAB- (NIL T T) -8 NIL NIL) (-301 685144 686456 686485 "EUCDOM" 687040 T EUCDOM (NIL) -9 NIL 687390) (-300 683549 683991 684581 "EUCDOM-" 684586 NIL EUCDOM- (NIL T) -8 NIL NIL) (-299 671089 673847 676597 "ESTOOLS" 680819 T ESTOOLS (NIL) -7 NIL NIL) (-298 670721 670778 670887 "ESTOOLS2" 671026 NIL ESTOOLS2 (NIL T T) -7 NIL NIL) (-297 670472 670514 670594 "ESTOOLS1" 670673 NIL ESTOOLS1 (NIL T) -7 NIL NIL) (-296 664398 666126 666155 "ES" 668923 T ES (NIL) -9 NIL 670330) (-295 659346 660632 662449 "ES-" 662613 NIL ES- (NIL T) -8 NIL NIL) (-294 655721 656481 657261 "ESCONT" 658586 T ESCONT (NIL) -7 NIL NIL) (-293 655466 655498 655580 "ESCONT1" 655683 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL) (-292 655141 655191 655291 "ES2" 655410 NIL ES2 (NIL T T) -7 NIL NIL) (-291 654771 654829 654938 "ES1" 655077 NIL ES1 (NIL T T) -7 NIL NIL) (-290 653987 654116 654292 "ERROR" 654615 T ERROR (NIL) -7 NIL NIL) (-289 647502 653846 653937 "EQTBL" 653942 NIL EQTBL (NIL T T) -8 NIL NIL) (-288 639961 642844 644279 "EQ" 646100 NIL -2995 (NIL T) -8 NIL NIL) (-287 639593 639650 639759 "EQ2" 639898 NIL EQ2 (NIL T T) -7 NIL NIL) (-286 634885 635931 637024 "EP" 638532 NIL EP (NIL T) -7 NIL NIL) (-285 634039 634603 634632 "ENTIRER" 634637 T ENTIRER (NIL) -9 NIL 634683) (-284 630495 631994 632364 "EMR" 633838 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL) (-283 629641 629824 629879 "ELTAGG" 630259 NIL ELTAGG (NIL T T) -9 NIL 630469) (-282 629360 629422 629563 "ELTAGG-" 629568 NIL ELTAGG- (NIL T T T) -8 NIL NIL) (-281 629148 629177 629232 "ELTAB" 629316 NIL ELTAB (NIL T T) -9 NIL NIL) (-280 628274 628420 628619 "ELFUTS" 628999 NIL ELFUTS (NIL T T) -7 NIL NIL) (-279 628015 628071 628100 "ELEMFUN" 628205 T ELEMFUN (NIL) -9 NIL NIL) (-278 627885 627906 627974 "ELEMFUN-" 627979 NIL ELEMFUN- (NIL T) -8 NIL NIL) (-277 622815 626018 626060 "ELAGG" 627000 NIL ELAGG (NIL T) -9 NIL 627461) (-276 621100 621534 622197 "ELAGG-" 622202 NIL ELAGG- (NIL T T) -8 NIL NIL) (-275 613970 615769 616595 "EFUPXS" 620377 NIL EFUPXS (NIL T T T T) -8 NIL NIL) (-274 607422 609223 610032 "EFULS" 613247 NIL EFULS (NIL T T T) -8 NIL NIL) (-273 604844 605202 605681 "EFSTRUC" 607054 NIL EFSTRUC (NIL T T) -7 NIL NIL) (-272 593856 595421 596982 "EF" 603359 NIL EF (NIL T T) -7 NIL NIL) (-271 592957 593341 593490 "EAB" 593727 T EAB (NIL) -8 NIL NIL) (-270 592166 592916 592944 "E04UCFA" 592949 T E04UCFA (NIL) -8 NIL NIL) (-269 591375 592125 592153 "E04NAFA" 592158 T E04NAFA (NIL) -8 NIL NIL) (-268 590584 591334 591362 "E04MBFA" 591367 T E04MBFA (NIL) -8 NIL NIL) (-267 589793 590543 590571 "E04JAFA" 590576 T E04JAFA (NIL) -8 NIL NIL) (-266 589004 589752 589780 "E04GCFA" 589785 T E04GCFA (NIL) -8 NIL NIL) (-265 588215 588963 588991 "E04FDFA" 588996 T E04FDFA (NIL) -8 NIL NIL) (-264 587424 588174 588202 "E04DGFA" 588207 T E04DGFA (NIL) -8 NIL NIL) (-263 581603 582949 584313 "E04AGNT" 586080 T E04AGNT (NIL) -7 NIL NIL) (-262 580326 580806 580847 "DVARCAT" 581322 NIL DVARCAT (NIL T) -9 NIL 581521) (-261 579530 579742 580056 "DVARCAT-" 580061 NIL DVARCAT- (NIL T T) -8 NIL NIL) (-260 572499 572981 573730 "DTP" 579061 NIL DTP (NIL T NIL T T T T T T T T T) -7 NIL NIL) (-259 569948 571921 572078 "DSTREE" 572375 NIL DSTREE (NIL T) -8 NIL NIL) (-258 567417 569262 569304 "DSTRCAT" 569523 NIL DSTRCAT (NIL T) -9 NIL 569657) (-257 560271 567216 567345 "DSMP" 567350 NIL DSMP (NIL T T T) -8 NIL NIL) (-256 555081 556216 557284 "DROPT" 559223 T DROPT (NIL) -8 NIL NIL) (-255 554746 554805 554903 "DROPT1" 555016 NIL DROPT1 (NIL T) -7 NIL NIL) (-254 549861 550987 552124 "DROPT0" 553629 T DROPT0 (NIL) -7 NIL NIL) (-253 548206 548531 548917 "DRAWPT" 549495 T DRAWPT (NIL) -7 NIL NIL) (-252 542793 543716 544795 "DRAW" 547180 NIL DRAW (NIL T) -7 NIL NIL) (-251 542426 542479 542597 "DRAWHACK" 542734 NIL DRAWHACK (NIL T) -7 NIL NIL) (-250 541157 541426 541717 "DRAWCX" 542155 T DRAWCX (NIL) -7 NIL NIL) (-249 540673 540741 540892 "DRAWCURV" 541083 NIL DRAWCURV (NIL T T) -7 NIL NIL) (-248 531145 533103 535218 "DRAWCFUN" 538578 T DRAWCFUN (NIL) -7 NIL NIL) (-247 527998 529874 529916 "DQAGG" 530545 NIL DQAGG (NIL T) -9 NIL 530818) (-246 516426 523167 523251 "DPOLCAT" 525103 NIL DPOLCAT (NIL T T T T) -9 NIL 525647) (-245 511265 512611 514569 "DPOLCAT-" 514574 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL) (-244 504004 511126 511224 "DPMO" 511229 NIL DPMO (NIL NIL T T) -8 NIL NIL) (-243 496646 503784 503951 "DPMM" 503956 NIL DPMM (NIL NIL T T T) -8 NIL NIL) (-242 490351 496281 496433 "DMP" 496547 NIL DMP (NIL NIL T) -8 NIL NIL) (-241 489951 490007 490151 "DLP" 490289 NIL DLP (NIL T) -7 NIL NIL) (-240 483601 489052 489279 "DLIST" 489756 NIL DLIST (NIL T) -8 NIL NIL) (-239 480486 482489 482531 "DLAGG" 483081 NIL DLAGG (NIL T) -9 NIL 483310) (-238 479143 479835 479864 "DIVRING" 480014 T DIVRING (NIL) -9 NIL 480122) (-237 478131 478384 478777 "DIVRING-" 478782 NIL DIVRING- (NIL T) -8 NIL NIL) (-236 476559 477724 477860 "DIV" 478028 NIL DIV (NIL T) -8 NIL NIL) (-235 474053 475121 475163 "DIVCAT" 475997 NIL DIVCAT (NIL T) -9 NIL 476328) (-234 472155 472512 472918 "DISPLAY" 473667 T DISPLAY (NIL) -7 NIL NIL) (-233 469648 470861 471243 "DIRRING" 471806 NIL DIRRING (NIL T) -8 NIL NIL) (-232 463508 469562 469625 "DIRPROD" 469630 NIL DIRPROD (NIL NIL T) -8 NIL NIL) (-231 462356 462559 462824 "DIRPROD2" 463301 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL) (-230 451920 457949 458003 "DIRPCAT" 458261 NIL DIRPCAT (NIL NIL T) -9 NIL 459105) (-229 449246 449888 450769 "DIRPCAT-" 451106 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL) (-228 448533 448693 448879 "DIOSP" 449080 T DIOSP (NIL) -7 NIL NIL) (-227 445276 447480 447522 "DIOPS" 447956 NIL DIOPS (NIL T) -9 NIL 448184) (-226 444825 444939 445130 "DIOPS-" 445135 NIL DIOPS- (NIL T T) -8 NIL NIL) (-225 443692 444330 444359 "DIFRING" 444546 T DIFRING (NIL) -9 NIL 444656) (-224 443338 443415 443567 "DIFRING-" 443572 NIL DIFRING- (NIL T) -8 NIL NIL) (-223 441120 442402 442444 "DIFEXT" 442807 NIL DIFEXT (NIL T) -9 NIL 443099) (-222 439405 439833 440499 "DIFEXT-" 440504 NIL DIFEXT- (NIL T T) -8 NIL NIL) (-221 436767 438971 439013 "DIAGG" 439018 NIL DIAGG (NIL T) -9 NIL 439038) (-220 436151 436308 436560 "DIAGG-" 436565 NIL DIAGG- (NIL T T) -8 NIL NIL) (-219 431521 435110 435387 "DHMATRIX" 435920 NIL DHMATRIX (NIL T) -8 NIL NIL) (-218 426732 431335 431409 "DFVEC" 431467 T DFVEC (NIL) -8 NIL NIL) (-217 420616 421905 423286 "DFSFUN" 425371 T DFSFUN (NIL) -7 NIL NIL) (-216 416877 420387 420481 "DFMAT" 420542 T DFMAT (NIL) -8 NIL NIL) (-215 411154 415331 415764 "DFLOAT" 416464 T DFLOAT (NIL) -8 NIL NIL) (-214 409382 409663 410059 "DFINTTLS" 410862 NIL DFINTTLS (NIL T T) -7 NIL NIL) (-213 406401 407403 407803 "DERHAM" 409048 NIL DERHAM (NIL T NIL) -8 NIL NIL) (-212 398014 399931 401366 "DEQUEUE" 404999 NIL DEQUEUE (NIL T) -8 NIL NIL) (-211 397229 397362 397558 "DEGRED" 397876 NIL DEGRED (NIL T T) -7 NIL NIL) (-210 393624 394369 395222 "DEFINTRF" 396457 NIL DEFINTRF (NIL T) -7 NIL NIL) (-209 391151 391620 392219 "DEFINTEF" 393143 NIL DEFINTEF (NIL T T) -7 NIL NIL) (-208 384969 390589 390756 "DECIMAL" 391004 T DECIMAL (NIL) -8 NIL NIL) (-207 382481 382939 383445 "DDFACT" 384513 NIL DDFACT (NIL T T) -7 NIL NIL) (-206 382077 382120 382271 "DBLRESP" 382432 NIL DBLRESP (NIL T T T T) -7 NIL NIL) (-205 379787 380121 380490 "DBASE" 381835 NIL DBASE (NIL T) -8 NIL NIL) (-204 378920 379746 379774 "D03FAFA" 379779 T D03FAFA (NIL) -8 NIL NIL) (-203 378054 378879 378907 "D03EEFA" 378912 T D03EEFA (NIL) -8 NIL NIL) (-202 376004 376470 376959 "D03AGNT" 377585 T D03AGNT (NIL) -7 NIL NIL) (-201 375320 375963 375991 "D02EJFA" 375996 T D02EJFA (NIL) -8 NIL NIL) (-200 374636 375279 375307 "D02CJFA" 375312 T D02CJFA (NIL) -8 NIL NIL) (-199 373952 374595 374623 "D02BHFA" 374628 T D02BHFA (NIL) -8 NIL NIL) (-198 373268 373911 373939 "D02BBFA" 373944 T D02BBFA (NIL) -8 NIL NIL) (-197 366467 368054 369660 "D02AGNT" 371682 T D02AGNT (NIL) -7 NIL NIL) (-196 364236 364758 365304 "D01WGTS" 365941 T D01WGTS (NIL) -7 NIL NIL) (-195 363331 364195 364223 "D01TRNS" 364228 T D01TRNS (NIL) -8 NIL NIL) (-194 362426 363290 363318 "D01GBFA" 363323 T D01GBFA (NIL) -8 NIL NIL) (-193 361521 362385 362413 "D01FCFA" 362418 T D01FCFA (NIL) -8 NIL NIL) (-192 360616 361480 361508 "D01ASFA" 361513 T D01ASFA (NIL) -8 NIL NIL) (-191 359711 360575 360603 "D01AQFA" 360608 T D01AQFA (NIL) -8 NIL NIL) (-190 358806 359670 359698 "D01APFA" 359703 T D01APFA (NIL) -8 NIL NIL) (-189 357901 358765 358793 "D01ANFA" 358798 T D01ANFA (NIL) -8 NIL NIL) (-188 356996 357860 357888 "D01AMFA" 357893 T D01AMFA (NIL) -8 NIL NIL) (-187 356091 356955 356983 "D01ALFA" 356988 T D01ALFA (NIL) -8 NIL NIL) (-186 355186 356050 356078 "D01AKFA" 356083 T D01AKFA (NIL) -8 NIL NIL) (-185 354281 355145 355173 "D01AJFA" 355178 T D01AJFA (NIL) -8 NIL NIL) (-184 347578 349129 350690 "D01AGNT" 352740 T D01AGNT (NIL) -7 NIL NIL) (-183 346915 347043 347195 "CYCLOTOM" 347446 T CYCLOTOM (NIL) -7 NIL NIL) (-182 343650 344363 345090 "CYCLES" 346208 T CYCLES (NIL) -7 NIL NIL) (-181 342962 343096 343267 "CVMP" 343511 NIL CVMP (NIL T) -7 NIL NIL) (-180 340734 340991 341367 "CTRIGMNP" 342690 NIL CTRIGMNP (NIL T T) -7 NIL NIL) (-179 340108 340207 340360 "CSTTOOLS" 340631 NIL CSTTOOLS (NIL T T) -7 NIL NIL) (-178 335907 336564 337322 "CRFP" 339420 NIL CRFP (NIL T T) -7 NIL NIL) (-177 334954 335139 335367 "CRAPACK" 335711 NIL CRAPACK (NIL T) -7 NIL NIL) (-176 334340 334441 334644 "CPMATCH" 334831 NIL CPMATCH (NIL T T T) -7 NIL NIL) (-175 334065 334093 334199 "CPIMA" 334306 NIL CPIMA (NIL T T T) -7 NIL NIL) (-174 330413 331085 331804 "COORDSYS" 333400 NIL COORDSYS (NIL T) -7 NIL NIL) (-173 326274 328416 328908 "CONTFRAC" 329953 NIL CONTFRAC (NIL T) -8 NIL NIL) (-172 325422 325986 326015 "COMRING" 326020 T COMRING (NIL) -9 NIL 326072) (-171 324503 324780 324964 "COMPPROP" 325258 T COMPPROP (NIL) -8 NIL NIL) (-170 324164 324199 324327 "COMPLPAT" 324462 NIL COMPLPAT (NIL T T T) -7 NIL NIL) (-169 314135 323975 324083 "COMPLEX" 324088 NIL COMPLEX (NIL T) -8 NIL NIL) (-168 313771 313828 313935 "COMPLEX2" 314072 NIL COMPLEX2 (NIL T T) -7 NIL NIL) (-167 313489 313524 313622 "COMPFACT" 313730 NIL COMPFACT (NIL T T) -7 NIL NIL) (-166 297741 308041 308082 "COMPCAT" 309086 NIL COMPCAT (NIL T) -9 NIL 310467) (-165 287257 290180 293807 "COMPCAT-" 294163 NIL COMPCAT- (NIL T T) -8 NIL NIL) (-164 286986 287014 287117 "COMMUPC" 287223 NIL COMMUPC (NIL T T T) -7 NIL NIL) (-163 286781 286814 286873 "COMMONOP" 286947 T COMMONOP (NIL) -7 NIL NIL) (-162 286364 286532 286619 "COMM" 286714 T COMM (NIL) -8 NIL NIL) (-161 285612 285806 285835 "COMBOPC" 286173 T COMBOPC (NIL) -9 NIL 286348) (-160 284508 284718 284960 "COMBINAT" 285402 NIL COMBINAT (NIL T) -7 NIL NIL) (-159 280706 281279 281919 "COMBF" 283930 NIL COMBF (NIL T T) -7 NIL NIL) (-158 279492 279822 280057 "COLOR" 280491 T COLOR (NIL) -8 NIL NIL) (-157 279132 279179 279304 "CMPLXRT" 279439 NIL CMPLXRT (NIL T T) -7 NIL NIL) (-156 274634 275662 276742 "CLIP" 278072 T CLIP (NIL) -7 NIL NIL) (-155 272970 273740 273979 "CLIF" 274461 NIL CLIF (NIL NIL T NIL) -8 NIL NIL) (-154 269235 271153 271195 "CLAGG" 272124 NIL CLAGG (NIL T) -9 NIL 272657) (-153 267657 268114 268697 "CLAGG-" 268702 NIL CLAGG- (NIL T T) -8 NIL NIL) (-152 267201 267286 267426 "CINTSLPE" 267566 NIL CINTSLPE (NIL T T) -7 NIL NIL) (-151 264702 265173 265721 "CHVAR" 266729 NIL CHVAR (NIL T T T) -7 NIL NIL) (-150 263920 264484 264513 "CHARZ" 264518 T CHARZ (NIL) -9 NIL 264533) (-149 263674 263714 263792 "CHARPOL" 263874 NIL CHARPOL (NIL T) -7 NIL NIL) (-148 262776 263373 263402 "CHARNZ" 263449 T CHARNZ (NIL) -9 NIL 263505) (-147 260799 261466 261801 "CHAR" 262461 T CHAR (NIL) -8 NIL NIL) (-146 260524 260585 260614 "CFCAT" 260725 T CFCAT (NIL) -9 NIL NIL) (-145 254657 260181 260299 "CDFVEC" 260426 T CDFVEC (NIL) -8 NIL NIL) (-144 250372 254414 254515 "CDFMAT" 254576 T CDFMAT (NIL) -8 NIL NIL) (-143 249617 249728 249910 "CDEN" 250256 NIL CDEN (NIL T T T) -7 NIL NIL) (-142 245609 248770 249050 "CCLASS" 249357 T CCLASS (NIL) -8 NIL NIL) (-141 240662 241638 242391 "CARTEN" 244912 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL) (-140 239770 239918 240139 "CARTEN2" 240509 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL) (-139 238065 238920 239177 "CARD" 239533 T CARD (NIL) -8 NIL NIL) (-138 237436 237764 237793 "CACHSET" 237925 T CACHSET (NIL) -9 NIL 238002) (-137 236931 237227 237256 "CABMON" 237306 T CABMON (NIL) -9 NIL 237362) (-136 234494 236623 236730 "BTREE" 236857 NIL BTREE (NIL T) -8 NIL NIL) (-135 231998 234142 234264 "BTOURN" 234404 NIL BTOURN (NIL T) -8 NIL NIL) (-134 229455 231502 231544 "BTCAT" 231612 NIL BTCAT (NIL T) -9 NIL 231689) (-133 229122 229202 229351 "BTCAT-" 229356 NIL BTCAT- (NIL T T) -8 NIL NIL) (-132 224312 228182 228211 "BTAGG" 228467 T BTAGG (NIL) -9 NIL 228646) (-131 223735 223879 224109 "BTAGG-" 224114 NIL BTAGG- (NIL T) -8 NIL NIL) (-130 220785 223013 223228 "BSTREE" 223552 NIL BSTREE (NIL T) -8 NIL NIL) (-129 219923 220049 220233 "BRILL" 220641 NIL BRILL (NIL T) -7 NIL NIL) (-128 216663 218684 218726 "BRAGG" 219375 NIL BRAGG (NIL T) -9 NIL 219632) (-127 215192 215598 216153 "BRAGG-" 216158 NIL BRAGG- (NIL T T) -8 NIL NIL) (-126 208391 214538 214722 "BPADICRT" 215040 NIL BPADICRT (NIL NIL) -8 NIL NIL) (-125 206695 208328 208373 "BPADIC" 208378 NIL BPADIC (NIL NIL) -8 NIL NIL) (-124 206393 206423 206537 "BOUNDZRO" 206659 NIL BOUNDZRO (NIL T T) -7 NIL NIL) (-123 201908 202999 203866 "BOP" 205546 T BOP (NIL) -8 NIL NIL) (-122 199531 199975 200494 "BOP1" 201422 NIL BOP1 (NIL T) -7 NIL NIL) (-121 197884 198574 198868 "BOOLEAN" 199257 T BOOLEAN (NIL) -8 NIL NIL) (-120 197245 197623 197678 "BMODULE" 197683 NIL BMODULE (NIL T T) -9 NIL 197748) (-119 193588 194258 195044 "BLUPPACK" 196577 NIL BLUPPACK (NIL T NIL T T T) -7 NIL NIL) (-118 192980 193465 193534 "BLQT" 193539 T BLQT (NIL) -8 NIL NIL) (-117 191409 191884 191913 "BLMETCT" 192558 T BLMETCT (NIL) -9 NIL 192930) (-116 190808 191290 191357 "BLHN" 191362 T BLHN (NIL) -8 NIL NIL) (-115 189626 189885 190168 "BLAS1" 190545 T BLAS1 (NIL) -7 NIL NIL) (-114 185436 189424 189497 "BITS" 189573 T BITS (NIL) -8 NIL NIL) (-113 184507 184968 185120 "BINFILE" 185304 T BINFILE (NIL) -8 NIL NIL) (-112 178329 183948 184114 "BINARY" 184361 T BINARY (NIL) -8 NIL NIL) (-111 176196 177618 177660 "BGAGG" 177920 NIL BGAGG (NIL T) -9 NIL 178057) (-110 176027 176059 176150 "BGAGG-" 176155 NIL BGAGG- (NIL T T) -8 NIL NIL) (-109 175125 175411 175616 "BFUNCT" 175842 T BFUNCT (NIL) -8 NIL NIL) (-108 173817 173995 174282 "BEZOUT" 174950 NIL BEZOUT (NIL T T T T T) -7 NIL NIL) (-107 172780 173002 173261 "BEZIER" 173591 NIL BEZIER (NIL T) -7 NIL NIL) (-106 169303 171632 171962 "BBTREE" 172483 NIL BBTREE (NIL T) -8 NIL NIL) (-105 169036 169089 169118 "BASTYPE" 169237 T BASTYPE (NIL) -9 NIL NIL) (-104 168889 168917 168990 "BASTYPE-" 168995 NIL BASTYPE- (NIL T) -8 NIL NIL) (-103 168323 168399 168551 "BALFACT" 168800 NIL BALFACT (NIL T T) -7 NIL NIL) (-102 167687 167810 167958 "AXSERV" 168195 T AXSERV (NIL) -7 NIL NIL) (-101 166500 167097 167285 "AUTOMOR" 167532 NIL AUTOMOR (NIL T) -8 NIL NIL) (-100 166212 166217 166246 "ATTREG" 166251 T ATTREG (NIL) -9 NIL NIL) (-99 164491 164909 165261 "ATTRBUT" 165878 T ATTRBUT (NIL) -8 NIL NIL) (-98 164026 164139 164166 "ATRIG" 164367 T ATRIG (NIL) -9 NIL NIL) (-97 163835 163876 163963 "ATRIG-" 163968 NIL ATRIG- (NIL T) -8 NIL NIL) (-96 157395 158964 160075 "ASTACK" 162755 NIL ASTACK (NIL T) -8 NIL NIL) (-95 155902 156199 156563 "ASSOCEQ" 157078 NIL ASSOCEQ (NIL T T) -7 NIL NIL) (-94 154934 155561 155685 "ASP9" 155809 NIL ASP9 (NIL NIL) -8 NIL NIL) (-93 154698 154882 154921 "ASP8" 154926 NIL ASP8 (NIL NIL) -8 NIL NIL) (-92 153568 154303 154445 "ASP80" 154587 NIL ASP80 (NIL NIL) -8 NIL NIL) (-91 152467 153203 153335 "ASP7" 153467 NIL ASP7 (NIL NIL) -8 NIL NIL) (-90 151423 152144 152262 "ASP78" 152380 NIL ASP78 (NIL NIL) -8 NIL NIL) (-89 150394 151103 151220 "ASP77" 151337 NIL ASP77 (NIL NIL) -8 NIL NIL) (-88 149309 150032 150163 "ASP74" 150294 NIL ASP74 (NIL NIL) -8 NIL NIL) (-87 148210 148944 149076 "ASP73" 149208 NIL ASP73 (NIL NIL) -8 NIL NIL) (-86 147165 147887 148005 "ASP6" 148123 NIL ASP6 (NIL NIL) -8 NIL NIL) (-85 146114 146842 146960 "ASP55" 147078 NIL ASP55 (NIL NIL) -8 NIL NIL) (-84 145064 145788 145907 "ASP50" 146026 NIL ASP50 (NIL NIL) -8 NIL NIL) (-83 144152 144765 144875 "ASP4" 144985 NIL ASP4 (NIL NIL) -8 NIL NIL) (-82 143240 143853 143963 "ASP49" 144073 NIL ASP49 (NIL NIL) -8 NIL NIL) (-81 142025 142779 142947 "ASP42" 143129 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL) (-80 140803 141558 141728 "ASP41" 141912 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL) (-79 139755 140480 140598 "ASP35" 140716 NIL ASP35 (NIL NIL) -8 NIL NIL) (-78 139520 139703 139742 "ASP34" 139747 NIL ASP34 (NIL NIL) -8 NIL NIL) (-77 139257 139324 139400 "ASP33" 139475 NIL ASP33 (NIL NIL) -8 NIL NIL) (-76 138153 138892 139024 "ASP31" 139156 NIL ASP31 (NIL NIL) -8 NIL NIL) (-75 137918 138101 138140 "ASP30" 138145 NIL ASP30 (NIL NIL) -8 NIL NIL) (-74 137653 137722 137798 "ASP29" 137873 NIL ASP29 (NIL NIL) -8 NIL NIL) (-73 137418 137601 137640 "ASP28" 137645 NIL ASP28 (NIL NIL) -8 NIL NIL) (-72 137183 137366 137405 "ASP27" 137410 NIL ASP27 (NIL NIL) -8 NIL NIL) (-71 136267 136881 136992 "ASP24" 137103 NIL ASP24 (NIL NIL) -8 NIL NIL) (-70 135184 135908 136038 "ASP20" 136168 NIL ASP20 (NIL NIL) -8 NIL NIL) (-69 134272 134885 134995 "ASP1" 135105 NIL ASP1 (NIL NIL) -8 NIL NIL) (-68 133216 133946 134065 "ASP19" 134184 NIL ASP19 (NIL NIL) -8 NIL NIL) (-67 132953 133020 133096 "ASP12" 133171 NIL ASP12 (NIL NIL) -8 NIL NIL) (-66 131806 132552 132696 "ASP10" 132840 NIL ASP10 (NIL NIL) -8 NIL NIL) (-65 129711 131650 131741 "ARRAY2" 131746 NIL ARRAY2 (NIL T) -8 NIL NIL) (-64 125533 129359 129473 "ARRAY1" 129628 NIL ARRAY1 (NIL T) -8 NIL NIL) (-63 124565 124738 124959 "ARRAY12" 125356 NIL ARRAY12 (NIL T T) -7 NIL NIL) (-62 118964 120829 120905 "ARR2CAT" 123535 NIL ARR2CAT (NIL T T T) -9 NIL 124293) (-61 116398 117142 118096 "ARR2CAT-" 118101 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL) (-60 115146 115298 115604 "APPRULE" 116234 NIL APPRULE (NIL T T T) -7 NIL NIL) (-59 114797 114845 114964 "APPLYORE" 115092 NIL APPLYORE (NIL T T T) -7 NIL NIL) (-58 114321 114409 114519 "API" 114705 T API (NIL) -7 NIL NIL) (-57 113295 113586 113781 "ANY" 114144 T ANY (NIL) -8 NIL NIL) (-56 112573 112696 112853 "ANY1" 113169 NIL ANY1 (NIL T) -7 NIL NIL) (-55 110092 111010 111337 "ANTISYM" 112297 NIL ANTISYM (NIL T NIL) -8 NIL NIL) (-54 109919 110051 110078 "ANON" 110083 T ANON (NIL) -8 NIL NIL) (-53 103986 108458 108912 "AN" 109483 T AN (NIL) -8 NIL NIL) (-52 100281 101679 101731 "AMR" 102479 NIL AMR (NIL T T) -9 NIL 103073) (-51 99393 99614 99977 "AMR-" 99982 NIL AMR- (NIL T T T) -8 NIL NIL) (-50 83955 99310 99371 "ALIST" 99376 NIL ALIST (NIL T T) -8 NIL NIL) (-49 80792 83549 83718 "ALGSC" 83873 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL) (-48 77350 77904 78510 "ALGPKG" 80233 NIL ALGPKG (NIL T T) -7 NIL NIL) (-47 76627 76728 76912 "ALGMFACT" 77236 NIL ALGMFACT (NIL T T T) -7 NIL NIL) (-46 72375 73059 73710 "ALGMANIP" 76154 NIL ALGMANIP (NIL T T) -7 NIL NIL) (-45 63689 72001 72151 "ALGFF" 72308 NIL ALGFF (NIL T T T NIL) -8 NIL NIL) (-44 62885 63016 63195 "ALGFACT" 63547 NIL ALGFACT (NIL T) -7 NIL NIL) (-43 61870 62480 62519 "ALGEBRA" 62579 NIL ALGEBRA (NIL T) -9 NIL 62638) (-42 61588 61647 61779 "ALGEBRA-" 61784 NIL ALGEBRA- (NIL T T) -8 NIL NIL) (-41 43395 59120 59173 "ALAGG" 59309 NIL ALAGG (NIL T T) -9 NIL 59470) (-40 42930 43043 43070 "AHYP" 43271 T AHYP (NIL) -9 NIL NIL) (-39 41861 42109 42136 "AGG" 42635 T AGG (NIL) -9 NIL 42913) (-38 41295 41457 41671 "AGG-" 41676 NIL AGG- (NIL T) -8 NIL NIL) (-37 38844 39425 39464 "AFSPCAT" 40736 NIL AFSPCAT (NIL T) -9 NIL 41231) (-36 36523 36945 37362 "AF" 38487 NIL AF (NIL T T) -7 NIL NIL) (-35 35863 36452 36506 "AFFSP" 36511 NIL AFFSP (NIL NIL T) -8 NIL NIL) (-34 35120 35790 35839 "AFFPLPS" 35844 NIL AFFPLPS (NIL T) -8 NIL NIL) (-33 34454 35061 35103 "AFFPL" 35108 NIL AFFPL (NIL T) -8 NIL NIL) (-32 31167 31654 32282 "AFALGRES" 33959 NIL AFALGRES (NIL T NIL T T T) -7 NIL NIL) (-31 29813 29990 30304 "AFALGGRO" 30986 NIL AFALGGRO (NIL T NIL T T T) -7 NIL NIL) (-30 29082 29340 29496 "ACPLOT" 29675 T ACPLOT (NIL) -8 NIL NIL) (-29 18442 26425 26477 "ACFS" 27188 NIL ACFS (NIL T) -9 NIL 27427) (-28 16456 16946 17721 "ACFS-" 17726 NIL ACFS- (NIL T T) -8 NIL NIL) (-27 12669 14625 14652 "ACF" 15531 T ACF (NIL) -9 NIL 15944) (-26 11373 11707 12200 "ACF-" 12205 NIL ACF- (NIL T) -8 NIL NIL) (-25 10970 11139 11166 "ABELSG" 11258 T ABELSG (NIL) -9 NIL 11323) (-24 10837 10862 10928 "ABELSG-" 10933 NIL ABELSG- (NIL T) -8 NIL NIL) (-23 10205 10466 10493 "ABELMON" 10663 T ABELMON (NIL) -9 NIL 10775) (-22 9869 9953 10091 "ABELMON-" 10096 NIL ABELMON- (NIL T) -8 NIL NIL) (-21 9202 9548 9575 "ABELGRP" 9700 T ABELGRP (NIL) -9 NIL 9782) (-20 8665 8794 9010 "ABELGRP-" 9015 NIL ABELGRP- (NIL T) -8 NIL NIL) (-19 4333 8027 8067 "A1AGG" 8072 NIL A1AGG (NIL T) -9 NIL 8112) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL)) 
\ No newline at end of file
+((-1278 3588519 3588524 3588529 "NIL" NIL T NIL (NIL) NIL NIL NIL) (-3 3588504 3588509 3588514 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-2 3588489 3588494 3588499 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-1 3588474 3588479 3588484 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (0 3588459 3588464 3588469 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-1273 3587589 3588334 3588411 "ZMOD" 3588416 NIL ZMOD (NIL NIL) -8 NIL NIL) (-1272 3586699 3586863 3587072 "ZLINDEP" 3587421 NIL ZLINDEP (NIL T) -7 NIL NIL) (-1271 3576003 3577767 3579739 "ZDSOLVE" 3584829 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL) (-1270 3575249 3575390 3575579 "YSTREAM" 3575849 NIL YSTREAM (NIL T) -7 NIL NIL) (-1269 3573014 3574550 3574754 "XRPOLY" 3575092 NIL XRPOLY (NIL T T) -8 NIL NIL) (-1268 3569468 3570797 3571377 "XPR" 3572481 NIL XPR (NIL T T) -8 NIL NIL) (-1267 3567178 3568799 3569003 "XPOLY" 3569299 NIL XPOLY (NIL T) -8 NIL NIL) (-1266 3564982 3566360 3566416 "XPOLYC" 3566704 NIL XPOLYC (NIL T T) -9 NIL 3566817) (-1265 3561356 3563501 3563888 "XPBWPOLY" 3564641 NIL XPBWPOLY (NIL T T) -8 NIL NIL) (-1264 3557234 3559544 3559587 "XF" 3560208 NIL XF (NIL T) -9 NIL 3560605) (-1263 3556855 3556943 3557112 "XF-" 3557117 NIL XF- (NIL T T) -8 NIL NIL) (-1262 3552204 3553503 3553559 "XFALG" 3555731 NIL XFALG (NIL T T) -9 NIL 3556518) (-1261 3551337 3551441 3551646 "XEXPPKG" 3552096 NIL XEXPPKG (NIL T T T) -7 NIL NIL) (-1260 3549434 3551187 3551283 "XDPOLY" 3551288 NIL XDPOLY (NIL T T) -8 NIL NIL) (-1259 3548306 3548916 3548960 "XALG" 3549023 NIL XALG (NIL T) -9 NIL 3549142) (-1258 3541775 3546283 3546777 "WUTSET" 3547898 NIL WUTSET (NIL T T T T) -8 NIL NIL) (-1257 3539584 3540391 3540742 "WP" 3541558 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL) (-1256 3538470 3538668 3538963 "WFFINTBS" 3539381 NIL WFFINTBS (NIL T T T T) -7 NIL NIL) (-1255 3536374 3536801 3537263 "WEIER" 3538042 NIL WEIER (NIL T) -7 NIL NIL) (-1254 3535520 3535944 3535987 "VSPACE" 3536123 NIL VSPACE (NIL T) -9 NIL 3536197) (-1253 3535358 3535385 3535476 "VSPACE-" 3535481 NIL VSPACE- (NIL T T) -8 NIL NIL) (-1252 3535104 3535147 3535218 "VOID" 3535309 T VOID (NIL) -8 NIL NIL) (-1251 3533240 3533599 3534005 "VIEW" 3534720 T VIEW (NIL) -7 NIL NIL) (-1250 3529665 3530303 3531040 "VIEWDEF" 3532525 T VIEWDEF (NIL) -7 NIL NIL) (-1249 3519004 3521213 3523386 "VIEW3D" 3527514 T VIEW3D (NIL) -8 NIL NIL) (-1248 3511286 3512915 3514494 "VIEW2D" 3517447 T VIEW2D (NIL) -8 NIL NIL) (-1247 3506694 3511056 3511148 "VECTOR" 3511229 NIL VECTOR (NIL T) -8 NIL NIL) (-1246 3505271 3505530 3505848 "VECTOR2" 3506424 NIL VECTOR2 (NIL T T) -7 NIL NIL) (-1245 3498836 3503082 3503126 "VECTCAT" 3504121 NIL VECTCAT (NIL T) -9 NIL 3504701) (-1244 3497850 3498104 3498494 "VECTCAT-" 3498499 NIL VECTCAT- (NIL T T) -8 NIL NIL) (-1243 3497331 3497501 3497621 "VARIABLE" 3497765 NIL VARIABLE (NIL NIL) -8 NIL NIL) (-1242 3489373 3495164 3495642 "UTSZ" 3496901 NIL UTSZ (NIL T NIL) -8 NIL NIL) (-1241 3488979 3489029 3489163 "UTSSOL" 3489317 NIL UTSSOL (NIL T T T) -7 NIL NIL) (-1240 3487811 3487965 3488226 "UTSODETL" 3488806 NIL UTSODETL (NIL T T T T) -7 NIL NIL) (-1239 3485251 3485711 3486235 "UTSODE" 3487352 NIL UTSODE (NIL T T) -7 NIL NIL) (-1238 3477084 3482879 3483367 "UTS" 3484821 NIL UTS (NIL T NIL NIL) -8 NIL NIL) (-1237 3468370 3473730 3473774 "UTSCAT" 3474886 NIL UTSCAT (NIL T) -9 NIL 3475637) (-1236 3465725 3466440 3467429 "UTSCAT-" 3467434 NIL UTSCAT- (NIL T T) -8 NIL NIL) (-1235 3465352 3465395 3465528 "UTS2" 3465676 NIL UTS2 (NIL T T T T) -7 NIL NIL) (-1234 3459666 3462225 3462269 "URAGG" 3464339 NIL URAGG (NIL T) -9 NIL 3465061) (-1233 3456605 3457468 3458591 "URAGG-" 3458596 NIL URAGG- (NIL T T) -8 NIL NIL) (-1232 3452283 3455219 3455691 "UPXSSING" 3456269 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL) (-1231 3444170 3451400 3451681 "UPXS" 3452060 NIL UPXS (NIL T NIL NIL) -8 NIL NIL) (-1230 3437198 3444074 3444146 "UPXSCONS" 3444151 NIL UPXSCONS (NIL T T) -8 NIL NIL) (-1229 3427410 3434235 3434298 "UPXSCCA" 3434954 NIL UPXSCCA (NIL T T) -9 NIL 3435196) (-1228 3427048 3427133 3427307 "UPXSCCA-" 3427312 NIL UPXSCCA- (NIL T T T) -8 NIL NIL) (-1227 3417192 3423790 3423834 "UPXSCAT" 3424482 NIL UPXSCAT (NIL T) -9 NIL 3425084) (-1226 3416622 3416701 3416880 "UPXS2" 3417107 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1225 3415276 3415529 3415880 "UPSQFREE" 3416365 NIL UPSQFREE (NIL T T) -7 NIL NIL) (-1224 3409111 3412161 3412217 "UPSCAT" 3413378 NIL UPSCAT (NIL T T) -9 NIL 3414146) (-1223 3408315 3408522 3408849 "UPSCAT-" 3408854 NIL UPSCAT- (NIL T T T) -8 NIL NIL) (-1222 3394304 3402344 3402388 "UPOLYC" 3404489 NIL UPOLYC (NIL T) -9 NIL 3405704) (-1221 3385633 3388058 3391205 "UPOLYC-" 3391210 NIL UPOLYC- (NIL T T) -8 NIL NIL) (-1220 3385260 3385303 3385436 "UPOLYC2" 3385584 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL) (-1219 3376671 3384826 3384964 "UP" 3385170 NIL UP (NIL NIL T) -8 NIL NIL) (-1218 3376010 3376117 3376281 "UPMP" 3376560 NIL UPMP (NIL T T) -7 NIL NIL) (-1217 3375563 3375644 3375783 "UPDIVP" 3375923 NIL UPDIVP (NIL T T) -7 NIL NIL) (-1216 3374131 3374380 3374696 "UPDECOMP" 3375312 NIL UPDECOMP (NIL T T) -7 NIL NIL) (-1215 3373366 3373478 3373663 "UPCDEN" 3374015 NIL UPCDEN (NIL T T T) -7 NIL NIL) (-1214 3372885 3372954 3373103 "UP2" 3373291 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL) (-1213 3371406 3372093 3372368 "UNISEG" 3372645 NIL UNISEG (NIL T) -8 NIL NIL) (-1212 3370623 3370750 3370954 "UNISEG2" 3371250 NIL UNISEG2 (NIL T T) -7 NIL NIL) (-1211 3369683 3369863 3370089 "UNIFACT" 3370439 NIL UNIFACT (NIL T) -7 NIL NIL) (-1210 3353567 3368862 3369112 "ULS" 3369491 NIL ULS (NIL T NIL NIL) -8 NIL NIL) (-1209 3341522 3353471 3353543 "ULSCONS" 3353548 NIL ULSCONS (NIL T T) -8 NIL NIL) (-1208 3324189 3336206 3336269 "ULSCCAT" 3336989 NIL ULSCCAT (NIL T T) -9 NIL 3337285) (-1207 3323239 3323484 3323872 "ULSCCAT-" 3323877 NIL ULSCCAT- (NIL T T T) -8 NIL NIL) (-1206 3313175 3319687 3319731 "ULSCAT" 3320594 NIL ULSCAT (NIL T) -9 NIL 3321317) (-1205 3312605 3312684 3312863 "ULS2" 3313090 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1204 3304743 3310596 3311096 "UFPS" 3312140 NIL UFPS (NIL T) -8 NIL NIL) (-1203 3304440 3304497 3304595 "UFPS1" 3304680 NIL UFPS1 (NIL T) -7 NIL NIL) (-1202 3302833 3303800 3303831 "UFD" 3304043 T UFD (NIL) -9 NIL 3304157) (-1201 3302627 3302673 3302768 "UFD-" 3302773 NIL UFD- (NIL T) -8 NIL NIL) (-1200 3301709 3301892 3302108 "UDVO" 3302433 T UDVO (NIL) -7 NIL NIL) (-1199 3299527 3299936 3300406 "UDPO" 3301274 NIL UDPO (NIL T) -7 NIL NIL) (-1198 3295490 3299472 3299508 "U32VEC" 3299513 T U32VEC (NIL) -8 NIL NIL) (-1197 3295422 3295427 3295458 "TYPE" 3295463 T TYPE (NIL) -9 NIL NIL) (-1196 3294393 3294595 3294835 "TWOFACT" 3295216 NIL TWOFACT (NIL T) -7 NIL NIL) (-1195 3293465 3293796 3293995 "TUPLE" 3294229 NIL TUPLE (NIL T) -8 NIL NIL) (-1194 3291156 3291675 3292214 "TUBETOOL" 3292948 T TUBETOOL (NIL) -7 NIL NIL) (-1193 3290005 3290210 3290451 "TUBE" 3290949 NIL TUBE (NIL T) -8 NIL NIL) (-1192 3284725 3288979 3289261 "TS" 3289758 NIL TS (NIL T) -8 NIL NIL) (-1191 3273399 3277484 3277582 "TSETCAT" 3282851 NIL TSETCAT (NIL T T T T) -9 NIL 3284381) (-1190 3268134 3269731 3271622 "TSETCAT-" 3271627 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL) (-1189 3262405 3263251 3264189 "TRMANIP" 3267274 NIL TRMANIP (NIL T T) -7 NIL NIL) (-1188 3261846 3261909 3262072 "TRIMAT" 3262337 NIL TRIMAT (NIL T T T T) -7 NIL NIL) (-1187 3259642 3259879 3260243 "TRIGMNIP" 3261595 NIL TRIGMNIP (NIL T T) -7 NIL NIL) (-1186 3259161 3259274 3259305 "TRIGCAT" 3259518 T TRIGCAT (NIL) -9 NIL NIL) (-1185 3258830 3258909 3259050 "TRIGCAT-" 3259055 NIL TRIGCAT- (NIL T) -8 NIL NIL) (-1184 3255733 3257688 3257969 "TREE" 3258584 NIL TREE (NIL T) -8 NIL NIL) (-1183 3255006 3255534 3255565 "TRANFUN" 3255600 T TRANFUN (NIL) -9 NIL 3255666) (-1182 3254285 3254476 3254756 "TRANFUN-" 3254761 NIL TRANFUN- (NIL T) -8 NIL NIL) (-1181 3254089 3254121 3254182 "TOPSP" 3254246 T TOPSP (NIL) -7 NIL NIL) (-1180 3253437 3253552 3253706 "TOOLSIGN" 3253970 NIL TOOLSIGN (NIL T) -7 NIL NIL) (-1179 3252072 3252614 3252853 "TEXTFILE" 3253220 T TEXTFILE (NIL) -8 NIL NIL) (-1178 3249937 3250451 3250889 "TEX" 3251656 T TEX (NIL) -8 NIL NIL) (-1177 3249718 3249749 3249821 "TEX1" 3249900 NIL TEX1 (NIL T) -7 NIL NIL) (-1176 3249366 3249429 3249519 "TEMUTL" 3249650 T TEMUTL (NIL) -7 NIL NIL) (-1175 3247520 3247800 3248125 "TBCMPPK" 3249089 NIL TBCMPPK (NIL T T) -7 NIL NIL) (-1174 3239265 3245525 3245582 "TBAGG" 3245982 NIL TBAGG (NIL T T) -9 NIL 3246193) (-1173 3234335 3235823 3237577 "TBAGG-" 3237582 NIL TBAGG- (NIL T T T) -8 NIL NIL) (-1172 3233719 3233826 3233971 "TANEXP" 3234224 NIL TANEXP (NIL T) -7 NIL NIL) (-1171 3227232 3233576 3233669 "TABLE" 3233674 NIL TABLE (NIL T T) -8 NIL NIL) (-1170 3226645 3226743 3226881 "TABLEAU" 3227129 NIL TABLEAU (NIL T) -8 NIL NIL) (-1169 3221253 3222473 3223721 "TABLBUMP" 3225431 NIL TABLBUMP (NIL T) -7 NIL NIL) (-1168 3217716 3218411 3219194 "SYSSOLP" 3220504 NIL SYSSOLP (NIL T) -7 NIL NIL) (-1167 3214850 3215458 3216096 "SYMTAB" 3217100 T SYMTAB (NIL) -8 NIL NIL) (-1166 3210099 3211001 3211984 "SYMS" 3213889 T SYMS (NIL) -8 NIL NIL) (-1165 3207331 3209563 3209790 "SYMPOLY" 3209907 NIL SYMPOLY (NIL T) -8 NIL NIL) (-1164 3206848 3206923 3207046 "SYMFUNC" 3207243 NIL SYMFUNC (NIL T) -7 NIL NIL) (-1163 3202826 3204085 3204907 "SYMBOL" 3206048 T SYMBOL (NIL) -8 NIL NIL) (-1162 3196365 3198054 3199774 "SWITCH" 3201128 T SWITCH (NIL) -8 NIL NIL) (-1161 3189591 3195188 3195490 "SUTS" 3196121 NIL SUTS (NIL T NIL NIL) -8 NIL NIL) (-1160 3181477 3188708 3188989 "SUPXS" 3189368 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL) (-1159 3172962 3181095 3181221 "SUP" 3181386 NIL SUP (NIL T) -8 NIL NIL) (-1158 3172121 3172248 3172465 "SUPFRACF" 3172830 NIL SUPFRACF (NIL T T T T) -7 NIL NIL) (-1157 3162693 3171923 3172037 "SUPEXPR" 3172042 NIL SUPEXPR (NIL T) -8 NIL NIL) (-1156 3162314 3162373 3162486 "SUP2" 3162628 NIL SUP2 (NIL T T) -7 NIL NIL) (-1155 3160727 3161001 3161364 "SUMRF" 3162013 NIL SUMRF (NIL T) -7 NIL NIL) (-1154 3160041 3160107 3160306 "SUMFS" 3160648 NIL SUMFS (NIL T T) -7 NIL NIL) (-1153 3143965 3159220 3159470 "SULS" 3159849 NIL SULS (NIL T NIL NIL) -8 NIL NIL) (-1152 3143287 3143490 3143630 "SUCH" 3143873 NIL SUCH (NIL T T) -8 NIL NIL) (-1151 3137181 3138193 3139152 "SUBSPACE" 3142375 NIL SUBSPACE (NIL NIL T) -8 NIL NIL) (-1150 3136613 3136703 3136866 "SUBRESP" 3137070 NIL SUBRESP (NIL T T) -7 NIL NIL) (-1149 3129982 3131278 3132589 "STTF" 3135349 NIL STTF (NIL T) -7 NIL NIL) (-1148 3124155 3125275 3126422 "STTFNC" 3128882 NIL STTFNC (NIL T) -7 NIL NIL) (-1147 3115474 3117341 3119133 "STTAYLOR" 3122398 NIL STTAYLOR (NIL T) -7 NIL NIL) (-1146 3108730 3115338 3115421 "STRTBL" 3115426 NIL STRTBL (NIL T) -8 NIL NIL) (-1145 3104121 3108685 3108716 "STRING" 3108721 T STRING (NIL) -8 NIL NIL) (-1144 3098985 3103463 3103494 "STRICAT" 3103553 T STRICAT (NIL) -9 NIL 3103615) (-1143 3091712 3096512 3097130 "STREAM" 3098402 NIL STREAM (NIL T) -8 NIL NIL) (-1142 3091222 3091299 3091443 "STREAM3" 3091629 NIL STREAM3 (NIL T T T) -7 NIL NIL) (-1141 3090204 3090387 3090622 "STREAM2" 3091035 NIL STREAM2 (NIL T T) -7 NIL NIL) (-1140 3089892 3089944 3090037 "STREAM1" 3090146 NIL STREAM1 (NIL T) -7 NIL NIL) (-1139 3089536 3089602 3089709 "STNSR" 3089820 NIL STNSR (NIL T) -7 NIL NIL) (-1138 3088552 3088733 3088964 "STINPROD" 3089352 NIL STINPROD (NIL T) -7 NIL NIL) (-1137 3088129 3088313 3088344 "STEP" 3088424 T STEP (NIL) -9 NIL 3088502) (-1136 3081684 3088028 3088105 "STBL" 3088110 NIL STBL (NIL T T NIL) -8 NIL NIL) (-1135 3076898 3080936 3080980 "STAGG" 3081133 NIL STAGG (NIL T) -9 NIL 3081222) (-1134 3074600 3075202 3076074 "STAGG-" 3076079 NIL STAGG- (NIL T T) -8 NIL NIL) (-1133 3068092 3069661 3070776 "STACK" 3073520 NIL STACK (NIL T) -8 NIL NIL) (-1132 3060817 3066233 3066689 "SREGSET" 3067722 NIL SREGSET (NIL T T T T) -8 NIL NIL) (-1131 3053243 3054611 3056124 "SRDCMPK" 3059423 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL) (-1130 3046221 3050681 3050712 "SRAGG" 3052015 T SRAGG (NIL) -9 NIL 3052623) (-1129 3045238 3045493 3045872 "SRAGG-" 3045877 NIL SRAGG- (NIL T) -8 NIL NIL) (-1128 3039686 3044161 3044585 "SQMATRIX" 3044861 NIL SQMATRIX (NIL NIL T) -8 NIL NIL) (-1127 3033442 3036404 3037131 "SPLTREE" 3039031 NIL SPLTREE (NIL T T) -8 NIL NIL) (-1126 3029432 3030098 3030744 "SPLNODE" 3032868 NIL SPLNODE (NIL T T) -8 NIL NIL) (-1125 3028478 3028711 3028742 "SPFCAT" 3029186 T SPFCAT (NIL) -9 NIL NIL) (-1124 3027215 3027425 3027689 "SPECOUT" 3028236 T SPECOUT (NIL) -7 NIL NIL) (-1123 3019185 3020932 3020976 "SPACEC" 3025349 NIL SPACEC (NIL T) -9 NIL 3027165) (-1122 3017356 3019117 3019166 "SPACE3" 3019171 NIL SPACE3 (NIL T) -8 NIL NIL) (-1121 3016110 3016281 3016571 "SORTPAK" 3017162 NIL SORTPAK (NIL T T) -7 NIL NIL) (-1120 3014160 3014463 3014882 "SOLVETRA" 3015774 NIL SOLVETRA (NIL T) -7 NIL NIL) (-1119 3013171 3013393 3013667 "SOLVESER" 3013933 NIL SOLVESER (NIL T) -7 NIL NIL) (-1118 3008391 3009272 3010274 "SOLVERAD" 3012223 NIL SOLVERAD (NIL T) -7 NIL NIL) (-1117 3004206 3004815 3005544 "SOLVEFOR" 3007758 NIL SOLVEFOR (NIL T T) -7 NIL NIL) (-1116 2998509 3003554 3003652 "SNTSCAT" 3003657 NIL SNTSCAT (NIL T T T T) -9 NIL 3003727) (-1115 2992607 2996834 2997224 "SMTS" 2998200 NIL SMTS (NIL T T T) -8 NIL NIL) (-1114 2987011 2992495 2992572 "SMP" 2992577 NIL SMP (NIL T T) -8 NIL NIL) (-1113 2985170 2985471 2985869 "SMITH" 2986708 NIL SMITH (NIL T T T T) -7 NIL NIL) (-1112 2978112 2982310 2982414 "SMATCAT" 2983765 NIL SMATCAT (NIL NIL T T T) -9 NIL 2984312) (-1111 2975052 2975875 2977053 "SMATCAT-" 2977058 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL) (-1110 2972805 2974322 2974366 "SKAGG" 2974627 NIL SKAGG (NIL T) -9 NIL 2974762) (-1109 2968863 2971909 2972187 "SINT" 2972549 T SINT (NIL) -8 NIL NIL) (-1108 2968635 2968673 2968739 "SIMPAN" 2968819 T SIMPAN (NIL) -7 NIL NIL) (-1107 2967473 2967694 2967969 "SIGNRF" 2968394 NIL SIGNRF (NIL T) -7 NIL NIL) (-1106 2966278 2966429 2966720 "SIGNEF" 2967302 NIL SIGNEF (NIL T T) -7 NIL NIL) (-1105 2963970 2964424 2964929 "SHP" 2965820 NIL SHP (NIL T NIL) -7 NIL NIL) (-1104 2957794 2963871 2963947 "SHDP" 2963952 NIL SHDP (NIL NIL NIL T) -8 NIL NIL) (-1103 2957282 2957474 2957505 "SGROUP" 2957657 T SGROUP (NIL) -9 NIL 2957744) (-1102 2957052 2957104 2957208 "SGROUP-" 2957213 NIL SGROUP- (NIL T) -8 NIL NIL) (-1101 2953888 2954585 2955308 "SGCF" 2956351 T SGCF (NIL) -7 NIL NIL) (-1100 2948289 2953334 2953432 "SFRTCAT" 2953437 NIL SFRTCAT (NIL T T T T) -9 NIL 2953476) (-1099 2941713 2942728 2943864 "SFRGCD" 2947272 NIL SFRGCD (NIL T T T T T) -7 NIL NIL) (-1098 2934841 2935912 2937098 "SFQCMPK" 2940646 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL) (-1097 2934463 2934552 2934662 "SFORT" 2934782 NIL SFORT (NIL T T) -8 NIL NIL) (-1096 2933608 2934303 2934424 "SEXOF" 2934429 NIL SEXOF (NIL T T T T T) -8 NIL NIL) (-1095 2932742 2933489 2933557 "SEX" 2933562 T SEX (NIL) -8 NIL NIL) (-1094 2927517 2928206 2928302 "SEXCAT" 2932073 NIL SEXCAT (NIL T T T T T) -9 NIL 2932692) (-1093 2924697 2927451 2927499 "SET" 2927504 NIL SET (NIL T) -8 NIL NIL) (-1092 2922948 2923410 2923715 "SETMN" 2924438 NIL SETMN (NIL NIL NIL) -8 NIL NIL) (-1091 2922553 2922679 2922710 "SETCAT" 2922827 T SETCAT (NIL) -9 NIL 2922912) (-1090 2922333 2922385 2922484 "SETCAT-" 2922489 NIL SETCAT- (NIL T) -8 NIL NIL) (-1089 2921996 2922146 2922177 "SETCATD" 2922236 T SETCATD (NIL) -9 NIL 2922283) (-1088 2918382 2920456 2920500 "SETAGG" 2921370 NIL SETAGG (NIL T) -9 NIL 2921710) (-1087 2917840 2917956 2918193 "SETAGG-" 2918198 NIL SETAGG- (NIL T T) -8 NIL NIL) (-1086 2917043 2917336 2917398 "SEGXCAT" 2917684 NIL SEGXCAT (NIL T T) -9 NIL 2917804) (-1085 2916103 2916713 2916893 "SEG" 2916898 NIL SEG (NIL T) -8 NIL NIL) (-1084 2915009 2915222 2915266 "SEGCAT" 2915848 NIL SEGCAT (NIL T) -9 NIL 2916086) (-1083 2914060 2914390 2914589 "SEGBIND" 2914845 NIL SEGBIND (NIL T) -8 NIL NIL) (-1082 2913681 2913740 2913853 "SEGBIND2" 2913995 NIL SEGBIND2 (NIL T T) -7 NIL NIL) (-1081 2912902 2913028 2913231 "SEG2" 2913526 NIL SEG2 (NIL T T) -7 NIL NIL) (-1080 2912339 2912837 2912884 "SDVAR" 2912889 NIL SDVAR (NIL T) -8 NIL NIL) (-1079 2904583 2912109 2912239 "SDPOL" 2912244 NIL SDPOL (NIL T) -8 NIL NIL) (-1078 2903176 2903442 2903761 "SCPKG" 2904298 NIL SCPKG (NIL T) -7 NIL NIL) (-1077 2902397 2902530 2902709 "SCACHE" 2903031 NIL SCACHE (NIL T) -7 NIL NIL) (-1076 2901836 2902157 2902242 "SAOS" 2902334 T SAOS (NIL) -8 NIL NIL) (-1075 2901401 2901436 2901609 "SAERFFC" 2901795 NIL SAERFFC (NIL T T T) -7 NIL NIL) (-1074 2895290 2901298 2901378 "SAE" 2901383 NIL SAE (NIL T T NIL) -8 NIL NIL) (-1073 2894883 2894918 2895077 "SAEFACT" 2895249 NIL SAEFACT (NIL T T T) -7 NIL NIL) (-1072 2893204 2893518 2893919 "RURPK" 2894549 NIL RURPK (NIL T NIL) -7 NIL NIL) (-1071 2891840 2892119 2892431 "RULESET" 2893038 NIL RULESET (NIL T T T) -8 NIL NIL) (-1070 2889027 2889530 2889995 "RULE" 2891521 NIL RULE (NIL T T T) -8 NIL NIL) (-1069 2888666 2888821 2888904 "RULECOLD" 2888979 NIL RULECOLD (NIL NIL) -8 NIL NIL) (-1068 2883515 2884309 2885229 "RSETGCD" 2887865 NIL RSETGCD (NIL T T T T T) -7 NIL NIL) (-1067 2872778 2877823 2877921 "RSETCAT" 2882040 NIL RSETCAT (NIL T T T T) -9 NIL 2883137) (-1066 2870705 2871244 2872068 "RSETCAT-" 2872073 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL) (-1065 2863092 2864467 2865987 "RSDCMPK" 2869304 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL) (-1064 2861096 2861537 2861612 "RRCC" 2862698 NIL RRCC (NIL T T) -9 NIL 2863042) (-1063 2860447 2860621 2860900 "RRCC-" 2860905 NIL RRCC- (NIL T T T) -8 NIL NIL) (-1062 2834594 2844223 2844291 "RPOLCAT" 2854955 NIL RPOLCAT (NIL T T T) -9 NIL 2858103) (-1061 2826094 2828432 2831554 "RPOLCAT-" 2831559 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL) (-1060 2817153 2824305 2824787 "ROUTINE" 2825634 T ROUTINE (NIL) -8 NIL NIL) (-1059 2813853 2816704 2816853 "ROMAN" 2817026 T ROMAN (NIL) -8 NIL NIL) (-1058 2812128 2812713 2812973 "ROIRC" 2813658 NIL ROIRC (NIL T T) -8 NIL NIL) (-1057 2808466 2810766 2810797 "RNS" 2811101 T RNS (NIL) -9 NIL 2811375) (-1056 2806975 2807358 2807892 "RNS-" 2807967 NIL RNS- (NIL T) -8 NIL NIL) (-1055 2806397 2806805 2806836 "RNG" 2806841 T RNG (NIL) -9 NIL 2806862) (-1054 2805788 2806150 2806194 "RMODULE" 2806256 NIL RMODULE (NIL T) -9 NIL 2806298) (-1053 2804624 2804718 2805054 "RMCAT2" 2805689 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL) (-1052 2801333 2803802 2804125 "RMATRIX" 2804360 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL) (-1051 2794279 2796513 2796629 "RMATCAT" 2799988 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2800965) (-1050 2793654 2793801 2794108 "RMATCAT-" 2794113 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL) (-1049 2793221 2793296 2793424 "RINTERP" 2793573 NIL RINTERP (NIL NIL T) -7 NIL NIL) (-1048 2792264 2792828 2792859 "RING" 2792971 T RING (NIL) -9 NIL 2793066) (-1047 2792056 2792100 2792197 "RING-" 2792202 NIL RING- (NIL T) -8 NIL NIL) (-1046 2790897 2791134 2791392 "RIDIST" 2791820 T RIDIST (NIL) -7 NIL NIL) (-1045 2782213 2790365 2790571 "RGCHAIN" 2790745 NIL RGCHAIN (NIL T NIL) -8 NIL NIL) (-1044 2781013 2781254 2781533 "RFP" 2781968 NIL RFP (NIL T) -7 NIL NIL) (-1043 2778007 2778621 2779291 "RF" 2780377 NIL RF (NIL T) -7 NIL NIL) (-1042 2777653 2777716 2777819 "RFFACTOR" 2777938 NIL RFFACTOR (NIL T) -7 NIL NIL) (-1041 2777378 2777413 2777510 "RFFACT" 2777612 NIL RFFACT (NIL T) -7 NIL NIL) (-1040 2775495 2775859 2776241 "RFDIST" 2777018 T RFDIST (NIL) -7 NIL NIL) (-1039 2774948 2775040 2775203 "RETSOL" 2775397 NIL RETSOL (NIL T T) -7 NIL NIL) (-1038 2774535 2774615 2774659 "RETRACT" 2774852 NIL RETRACT (NIL T) -9 NIL NIL) (-1037 2774384 2774409 2774496 "RETRACT-" 2774501 NIL RETRACT- (NIL T T) -8 NIL NIL) (-1036 2767250 2774037 2774164 "RESULT" 2774279 T RESULT (NIL) -8 NIL NIL) (-1035 2765830 2766519 2766718 "RESRING" 2767153 NIL RESRING (NIL T T T T NIL) -8 NIL NIL) (-1034 2765466 2765515 2765613 "RESLATC" 2765767 NIL RESLATC (NIL T) -7 NIL NIL) (-1033 2765172 2765206 2765313 "REPSQ" 2765425 NIL REPSQ (NIL T) -7 NIL NIL) (-1032 2762594 2763174 2763776 "REP" 2764592 T REP (NIL) -7 NIL NIL) (-1031 2762292 2762326 2762437 "REPDB" 2762553 NIL REPDB (NIL T) -7 NIL NIL) (-1030 2756210 2757589 2758808 "REP2" 2761108 NIL REP2 (NIL T) -7 NIL NIL) (-1029 2752591 2753272 2754078 "REP1" 2755439 NIL REP1 (NIL T) -7 NIL NIL) (-1028 2745317 2750732 2751188 "REGSET" 2752221 NIL REGSET (NIL T T T T) -8 NIL NIL) (-1027 2744132 2744467 2744716 "REF" 2745103 NIL REF (NIL T) -8 NIL NIL) (-1026 2743509 2743612 2743779 "REDORDER" 2744016 NIL REDORDER (NIL T T) -7 NIL NIL) (-1025 2740371 2740837 2741446 "RECOP" 2743043 NIL RECOP (NIL T T) -7 NIL NIL) (-1024 2736311 2739584 2739811 "RECLOS" 2740199 NIL RECLOS (NIL T) -8 NIL NIL) (-1023 2735363 2735544 2735759 "REALSOLV" 2736118 T REALSOLV (NIL) -7 NIL NIL) (-1022 2735208 2735249 2735280 "REAL" 2735285 T REAL (NIL) -9 NIL 2735320) (-1021 2731691 2732493 2733377 "REAL0Q" 2734373 NIL REAL0Q (NIL T) -7 NIL NIL) (-1020 2727292 2728280 2729341 "REAL0" 2730672 NIL REAL0 (NIL T) -7 NIL NIL) (-1019 2726697 2726769 2726976 "RDIV" 2727214 NIL RDIV (NIL T T T T T) -7 NIL NIL) (-1018 2725765 2725939 2726152 "RDIST" 2726519 NIL RDIST (NIL T) -7 NIL NIL) (-1017 2724362 2724649 2725021 "RDETRS" 2725473 NIL RDETRS (NIL T T) -7 NIL NIL) (-1016 2722174 2722628 2723166 "RDETR" 2723904 NIL RDETR (NIL T T) -7 NIL NIL) (-1015 2720785 2721063 2721467 "RDEEFS" 2721890 NIL RDEEFS (NIL T T) -7 NIL NIL) (-1014 2719280 2719586 2720018 "RDEEF" 2720473 NIL RDEEF (NIL T T) -7 NIL NIL) (-1013 2713471 2716406 2716437 "RCFIELD" 2717732 T RCFIELD (NIL) -9 NIL 2718463) (-1012 2711535 2712039 2712735 "RCFIELD-" 2712810 NIL RCFIELD- (NIL T) -8 NIL NIL) (-1011 2707893 2709672 2709716 "RCAGG" 2710800 NIL RCAGG (NIL T) -9 NIL 2711263) (-1010 2707521 2707615 2707778 "RCAGG-" 2707783 NIL RCAGG- (NIL T T) -8 NIL NIL) (-1009 2706857 2706968 2707133 "RATRET" 2707405 NIL RATRET (NIL T) -7 NIL NIL) (-1008 2706410 2706477 2706598 "RATFACT" 2706785 NIL RATFACT (NIL T) -7 NIL NIL) (-1007 2705718 2705838 2705990 "RANDSRC" 2706280 T RANDSRC (NIL) -7 NIL NIL) (-1006 2705452 2705496 2705569 "RADUTIL" 2705667 T RADUTIL (NIL) -7 NIL NIL) (-1005 2698440 2704185 2704504 "RADIX" 2705167 NIL RADIX (NIL NIL) -8 NIL NIL) (-1004 2690003 2698282 2698412 "RADFF" 2698417 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL) (-1003 2689649 2689724 2689755 "RADCAT" 2689915 T RADCAT (NIL) -9 NIL NIL) (-1002 2689431 2689479 2689579 "RADCAT-" 2689584 NIL RADCAT- (NIL T) -8 NIL NIL) (-1001 2682678 2684296 2685449 "QUEUE" 2688313 NIL QUEUE (NIL T) -8 NIL NIL) (-1000 2679167 2682613 2682660 "QUAT" 2682665 NIL QUAT (NIL T) -8 NIL NIL) (-999 2678805 2678848 2678975 "QUATCT2" 2679118 NIL QUATCT2 (NIL T T T T) -7 NIL NIL) (-998 2672542 2675926 2675967 "QUATCAT" 2676747 NIL QUATCAT (NIL T) -9 NIL 2677505) (-997 2668686 2669723 2671110 "QUATCAT-" 2671204 NIL QUATCAT- (NIL T T) -8 NIL NIL) (-996 2666246 2667804 2667846 "QUAGG" 2668221 NIL QUAGG (NIL T) -9 NIL 2668396) (-995 2665171 2665644 2665816 "QFORM" 2666118 NIL QFORM (NIL NIL T) -8 NIL NIL) (-994 2656398 2661665 2661706 "QFCAT" 2662364 NIL QFCAT (NIL T) -9 NIL 2663353) (-993 2651970 2653171 2654762 "QFCAT-" 2654856 NIL QFCAT- (NIL T T) -8 NIL NIL) (-992 2651608 2651651 2651778 "QFCAT2" 2651921 NIL QFCAT2 (NIL T T T T) -7 NIL NIL) (-991 2651068 2651178 2651308 "QEQUAT" 2651498 T QEQUAT (NIL) -8 NIL NIL) (-990 2644216 2645287 2646471 "QCMPACK" 2650001 NIL QCMPACK (NIL T T T T T) -7 NIL NIL) (-989 2641796 2642217 2642643 "QALGSET" 2643873 NIL QALGSET (NIL T T T T) -8 NIL NIL) (-988 2641041 2641215 2641447 "QALGSET2" 2641616 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL) (-987 2639732 2639955 2640272 "PWFFINTB" 2640814 NIL PWFFINTB (NIL T T T T) -7 NIL NIL) (-986 2637914 2638082 2638436 "PUSHVAR" 2639546 NIL PUSHVAR (NIL T T T T) -7 NIL NIL) (-985 2633831 2634885 2634927 "PTRANFN" 2636811 NIL PTRANFN (NIL T) -9 NIL NIL) (-984 2632233 2632524 2632846 "PTPACK" 2633542 NIL PTPACK (NIL T) -7 NIL NIL) (-983 2631865 2631922 2632031 "PTFUNC2" 2632170 NIL PTFUNC2 (NIL T T) -7 NIL NIL) (-982 2626365 2630699 2630741 "PTCAT" 2631114 NIL PTCAT (NIL T) -9 NIL 2631276) (-981 2626023 2626058 2626182 "PSQFR" 2626324 NIL PSQFR (NIL T T T T) -7 NIL NIL) (-980 2624610 2624910 2625246 "PSEUDLIN" 2625719 NIL PSEUDLIN (NIL T) -7 NIL NIL) (-979 2611386 2613750 2616071 "PSETPK" 2622373 NIL PSETPK (NIL T T T T) -7 NIL NIL) (-978 2604430 2607144 2607241 "PSETCAT" 2610262 NIL PSETCAT (NIL T T T T) -9 NIL 2611075) (-977 2602266 2602900 2603721 "PSETCAT-" 2603726 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL) (-976 2601615 2601779 2601808 "PSCURVE" 2602076 T PSCURVE (NIL) -9 NIL 2602243) (-975 2598004 2599530 2599596 "PSCAT" 2600440 NIL PSCAT (NIL T T T) -9 NIL 2600680) (-974 2597067 2597283 2597683 "PSCAT-" 2597688 NIL PSCAT- (NIL T T T T) -8 NIL NIL) (-973 2595720 2596352 2596566 "PRTITION" 2596873 T PRTITION (NIL) -8 NIL NIL) (-972 2592884 2593533 2593574 "PRSPCAT" 2595088 NIL PRSPCAT (NIL T) -9 NIL 2595656) (-971 2581984 2584190 2586377 "PRS" 2590747 NIL PRS (NIL T T) -7 NIL NIL) (-970 2579882 2581368 2581409 "PRQAGG" 2581592 NIL PRQAGG (NIL T) -9 NIL 2581694) (-969 2579151 2579807 2579864 "PROJSP" 2579869 NIL PROJSP (NIL NIL T) -8 NIL NIL) (-968 2578333 2579074 2579126 "PROJPLPS" 2579131 NIL PROJPLPS (NIL T) -8 NIL NIL) (-967 2577592 2578270 2578315 "PROJPL" 2578320 NIL PROJPL (NIL T) -8 NIL NIL) (-966 2571398 2575790 2576594 "PRODUCT" 2576834 NIL PRODUCT (NIL T T) -8 NIL NIL) (-965 2568673 2570862 2571093 "PR" 2571212 NIL PR (NIL T T) -8 NIL NIL) (-964 2567225 2567382 2567677 "PRJALGPK" 2568513 NIL PRJALGPK (NIL T NIL T T T) -7 NIL NIL) (-963 2567021 2567053 2567112 "PRINT" 2567186 T PRINT (NIL) -7 NIL NIL) (-962 2566361 2566478 2566630 "PRIMES" 2566901 NIL PRIMES (NIL T) -7 NIL NIL) (-961 2564426 2564827 2565293 "PRIMELT" 2565940 NIL PRIMELT (NIL T) -7 NIL NIL) (-960 2564154 2564203 2564232 "PRIMCAT" 2564356 T PRIMCAT (NIL) -9 NIL NIL) (-959 2560321 2564092 2564137 "PRIMARR" 2564142 NIL PRIMARR (NIL T) -8 NIL NIL) (-958 2559328 2559506 2559734 "PRIMARR2" 2560139 NIL PRIMARR2 (NIL T T) -7 NIL NIL) (-957 2558971 2559027 2559138 "PREASSOC" 2559266 NIL PREASSOC (NIL T T) -7 NIL NIL) (-956 2558446 2558578 2558607 "PPCURVE" 2558812 T PPCURVE (NIL) -9 NIL 2558948) (-955 2555807 2556206 2556797 "POLYROOT" 2558028 NIL POLYROOT (NIL T T T T T) -7 NIL NIL) (-954 2549708 2555413 2555572 "POLY" 2555681 NIL POLY (NIL T) -8 NIL NIL) (-953 2549091 2549149 2549383 "POLYLIFT" 2549644 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL) (-952 2545366 2545815 2546444 "POLYCATQ" 2548636 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL) (-951 2532328 2537728 2537794 "POLYCAT" 2541308 NIL POLYCAT (NIL T T T) -9 NIL 2543221) (-950 2525778 2527639 2530023 "POLYCAT-" 2530028 NIL POLYCAT- (NIL T T T T) -8 NIL NIL) (-949 2525365 2525433 2525553 "POLY2UP" 2525704 NIL POLY2UP (NIL NIL T) -7 NIL NIL) (-948 2524997 2525054 2525163 "POLY2" 2525302 NIL POLY2 (NIL T T) -7 NIL NIL) (-947 2523684 2523923 2524198 "POLUTIL" 2524772 NIL POLUTIL (NIL T T) -7 NIL NIL) (-946 2522039 2522316 2522647 "POLTOPOL" 2523406 NIL POLTOPOL (NIL NIL T) -7 NIL NIL) (-945 2517561 2521975 2522021 "POINT" 2522026 NIL POINT (NIL T) -8 NIL NIL) (-944 2515748 2516105 2516480 "PNTHEORY" 2517206 T PNTHEORY (NIL) -7 NIL NIL) (-943 2514167 2514464 2514876 "PMTOOLS" 2515446 NIL PMTOOLS (NIL T T T) -7 NIL NIL) (-942 2513760 2513838 2513955 "PMSYM" 2514083 NIL PMSYM (NIL T) -7 NIL NIL) (-941 2513270 2513339 2513513 "PMQFCAT" 2513685 NIL PMQFCAT (NIL T T T) -7 NIL NIL) (-940 2512625 2512735 2512891 "PMPRED" 2513147 NIL PMPRED (NIL T) -7 NIL NIL) (-939 2512021 2512107 2512268 "PMPREDFS" 2512526 NIL PMPREDFS (NIL T T T) -7 NIL NIL) (-938 2510666 2510874 2511258 "PMPLCAT" 2511784 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL) (-937 2510198 2510277 2510429 "PMLSAGG" 2510581 NIL PMLSAGG (NIL T T T) -7 NIL NIL) (-936 2509673 2509749 2509930 "PMKERNEL" 2510116 NIL PMKERNEL (NIL T T) -7 NIL NIL) (-935 2509290 2509365 2509478 "PMINS" 2509592 NIL PMINS (NIL T) -7 NIL NIL) (-934 2508718 2508787 2509003 "PMFS" 2509215 NIL PMFS (NIL T T T) -7 NIL NIL) (-933 2507946 2508064 2508269 "PMDOWN" 2508595 NIL PMDOWN (NIL T T T) -7 NIL NIL) (-932 2507109 2507268 2507450 "PMASS" 2507784 T PMASS (NIL) -7 NIL NIL) (-931 2506383 2506494 2506657 "PMASSFS" 2506995 NIL PMASSFS (NIL T T) -7 NIL NIL) (-930 2504143 2504396 2504779 "PLPKCRV" 2506107 NIL PLPKCRV (NIL T T T NIL T) -7 NIL NIL) (-929 2503798 2503866 2503960 "PLOTTOOL" 2504069 T PLOTTOOL (NIL) -7 NIL NIL) (-928 2498420 2499609 2500757 "PLOT" 2502670 T PLOT (NIL) -8 NIL NIL) (-927 2494234 2495268 2496189 "PLOT3D" 2497519 T PLOT3D (NIL) -8 NIL NIL) (-926 2493146 2493323 2493558 "PLOT1" 2494038 NIL PLOT1 (NIL T) -7 NIL NIL) (-925 2468541 2473212 2478063 "PLEQN" 2488412 NIL PLEQN (NIL T T T T) -7 NIL NIL) (-924 2467781 2468451 2468518 "PLCS" 2468523 NIL PLCS (NIL T T) -8 NIL NIL) (-923 2466932 2467666 2467737 "PLACESPS" 2467742 NIL PLACESPS (NIL T) -8 NIL NIL) (-922 2466139 2466845 2466902 "PLACES" 2466907 NIL PLACES (NIL T) -8 NIL NIL) (-921 2462863 2463527 2463586 "PLACESC" 2465504 NIL PLACESC (NIL T T) -9 NIL 2466075) (-920 2462181 2462303 2462483 "PINTERP" 2462728 NIL PINTERP (NIL NIL T) -7 NIL NIL) (-919 2461874 2461921 2462024 "PINTERPA" 2462128 NIL PINTERPA (NIL T T) -7 NIL NIL) (-918 2461101 2461668 2461761 "PI" 2461801 T PI (NIL) -8 NIL NIL) (-917 2459488 2460473 2460502 "PID" 2460684 T PID (NIL) -9 NIL 2460818) (-916 2459213 2459250 2459338 "PICOERCE" 2459445 NIL PICOERCE (NIL T) -7 NIL NIL) (-915 2458534 2458672 2458848 "PGROEB" 2459069 NIL PGROEB (NIL T) -7 NIL NIL) (-914 2454121 2454935 2455840 "PGE" 2457649 T PGE (NIL) -7 NIL NIL) (-913 2452245 2452491 2452857 "PGCD" 2453838 NIL PGCD (NIL T T T T) -7 NIL NIL) (-912 2451583 2451686 2451847 "PFRPAC" 2452129 NIL PFRPAC (NIL T) -7 NIL NIL) (-911 2448198 2450131 2450484 "PFR" 2451262 NIL PFR (NIL T) -8 NIL NIL) (-910 2446587 2446831 2447156 "PFOTOOLS" 2447945 NIL PFOTOOLS (NIL T T) -7 NIL NIL) (-909 2441452 2442117 2442866 "PFORP" 2445929 NIL PFORP (NIL T T T NIL) -7 NIL NIL) (-908 2439985 2440224 2440575 "PFOQ" 2441209 NIL PFOQ (NIL T T T) -7 NIL NIL) (-907 2438458 2438670 2439033 "PFO" 2439769 NIL PFO (NIL T T T T T) -7 NIL NIL) (-906 2434981 2438347 2438416 "PF" 2438421 NIL PF (NIL NIL) -8 NIL NIL) (-905 2432406 2433687 2433716 "PFECAT" 2434301 T PFECAT (NIL) -9 NIL 2434684) (-904 2431851 2432005 2432219 "PFECAT-" 2432224 NIL PFECAT- (NIL T) -8 NIL NIL) (-903 2430455 2430706 2431007 "PFBRU" 2431600 NIL PFBRU (NIL T T) -7 NIL NIL) (-902 2428322 2428673 2429105 "PFBR" 2430106 NIL PFBR (NIL T T T T) -7 NIL NIL) (-901 2424178 2425702 2426376 "PERM" 2427681 NIL PERM (NIL T) -8 NIL NIL) (-900 2419445 2420385 2421255 "PERMGRP" 2423341 NIL PERMGRP (NIL T) -8 NIL NIL) (-899 2417516 2418509 2418551 "PERMCAT" 2418997 NIL PERMCAT (NIL T) -9 NIL 2419300) (-898 2417169 2417210 2417334 "PERMAN" 2417469 NIL PERMAN (NIL NIL T) -7 NIL NIL) (-897 2414615 2416738 2416869 "PENDTREE" 2417071 NIL PENDTREE (NIL T) -8 NIL NIL) (-896 2412683 2413461 2413503 "PDRING" 2414160 NIL PDRING (NIL T) -9 NIL 2414446) (-895 2411786 2412004 2412366 "PDRING-" 2412371 NIL PDRING- (NIL T T) -8 NIL NIL) (-894 2408928 2409678 2410369 "PDEPROB" 2411115 T PDEPROB (NIL) -8 NIL NIL) (-893 2406475 2406977 2407532 "PDEPACK" 2408393 T PDEPACK (NIL) -7 NIL NIL) (-892 2405387 2405577 2405828 "PDECOMP" 2406274 NIL PDECOMP (NIL T T) -7 NIL NIL) (-891 2402991 2403808 2403837 "PDECAT" 2404624 T PDECAT (NIL) -9 NIL 2405337) (-890 2402742 2402775 2402865 "PCOMP" 2402952 NIL PCOMP (NIL T T) -7 NIL NIL) (-889 2400947 2401543 2401840 "PBWLB" 2402471 NIL PBWLB (NIL T) -8 NIL NIL) (-888 2393452 2395020 2396358 "PATTERN" 2399630 NIL PATTERN (NIL T) -8 NIL NIL) (-887 2393084 2393141 2393250 "PATTERN2" 2393389 NIL PATTERN2 (NIL T T) -7 NIL NIL) (-886 2390841 2391229 2391686 "PATTERN1" 2392673 NIL PATTERN1 (NIL T T) -7 NIL NIL) (-885 2388236 2388790 2389271 "PATRES" 2390406 NIL PATRES (NIL T T) -8 NIL NIL) (-884 2387800 2387867 2387999 "PATRES2" 2388163 NIL PATRES2 (NIL T T T) -7 NIL NIL) (-883 2385683 2386088 2386495 "PATMATCH" 2387467 NIL PATMATCH (NIL T T T) -7 NIL NIL) (-882 2385218 2385401 2385443 "PATMAB" 2385550 NIL PATMAB (NIL T) -9 NIL 2385633) (-881 2383763 2384072 2384330 "PATLRES" 2385023 NIL PATLRES (NIL T T T) -8 NIL NIL) (-880 2383310 2383433 2383475 "PATAB" 2383480 NIL PATAB (NIL T) -9 NIL 2383650) (-879 2380791 2381323 2381896 "PARTPERM" 2382757 T PARTPERM (NIL) -7 NIL NIL) (-878 2380412 2380475 2380577 "PARSURF" 2380722 NIL PARSURF (NIL T) -8 NIL NIL) (-877 2380044 2380101 2380210 "PARSU2" 2380349 NIL PARSU2 (NIL T T) -7 NIL NIL) (-876 2379665 2379728 2379830 "PARSCURV" 2379975 NIL PARSCURV (NIL T) -8 NIL NIL) (-875 2379297 2379354 2379463 "PARSC2" 2379602 NIL PARSC2 (NIL T T) -7 NIL NIL) (-874 2378936 2378994 2379091 "PARPCURV" 2379233 NIL PARPCURV (NIL T) -8 NIL NIL) (-873 2378568 2378625 2378734 "PARPC2" 2378873 NIL PARPC2 (NIL T T) -7 NIL NIL) (-872 2377048 2377166 2377485 "PARAMP" 2378423 NIL PARAMP (NIL T NIL T T T T T) -7 NIL NIL) (-871 2376568 2376654 2376773 "PAN2EXPR" 2376949 T PAN2EXPR (NIL) -7 NIL NIL) (-870 2375374 2375689 2375917 "PALETTE" 2376360 T PALETTE (NIL) -8 NIL NIL) (-869 2363007 2365173 2367289 "PAFF" 2373322 NIL PAFF (NIL T NIL T) -7 NIL NIL) (-868 2350003 2352331 2354542 "PAFFFF" 2360860 NIL PAFFFF (NIL T NIL T) -7 NIL NIL) (-867 2343844 2349262 2349456 "PADICRC" 2349858 NIL PADICRC (NIL NIL T) -8 NIL NIL) (-866 2337043 2343190 2343374 "PADICRAT" 2343692 NIL PADICRAT (NIL NIL) -8 NIL NIL) (-865 2335347 2336980 2337025 "PADIC" 2337030 NIL PADIC (NIL NIL) -8 NIL NIL) (-864 2332547 2334121 2334162 "PADICCT" 2334743 NIL PADICCT (NIL NIL) -9 NIL 2335025) (-863 2331504 2331704 2331972 "PADEPAC" 2332334 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL) (-862 2330716 2330849 2331055 "PADE" 2331366 NIL PADE (NIL T T T) -7 NIL NIL) (-861 2327193 2330334 2330453 "PACRAT" 2330617 T PACRAT (NIL) -8 NIL NIL) (-860 2323254 2326304 2326333 "PACRATC" 2326338 T PACRATC (NIL) -9 NIL 2326418) (-859 2319376 2321341 2321370 "PACPERC" 2322316 T PACPERC (NIL) -9 NIL 2322756) (-858 2316046 2319150 2319241 "PACOFF" 2319317 NIL PACOFF (NIL T) -8 NIL NIL) (-857 2312741 2315401 2315430 "PACFFC" 2315435 T PACFFC (NIL) -9 NIL 2315456) (-856 2308831 2312424 2312525 "PACEXT" 2312672 NIL PACEXT (NIL NIL) -8 NIL NIL) (-855 2304209 2307726 2307755 "PACEXTC" 2307760 T PACEXTC (NIL) -9 NIL 2307804) (-854 2302217 2303049 2303364 "OWP" 2303978 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL) (-853 2301326 2301822 2301994 "OVAR" 2302085 NIL OVAR (NIL NIL) -8 NIL NIL) (-852 2300590 2300711 2300872 "OUT" 2301185 T OUT (NIL) -7 NIL NIL) (-851 2289636 2291815 2293985 "OUTFORM" 2298440 T OUTFORM (NIL) -8 NIL NIL) (-850 2289044 2289365 2289454 "OSI" 2289567 T OSI (NIL) -8 NIL NIL) (-849 2287791 2288018 2288302 "ORTHPOL" 2288792 NIL ORTHPOL (NIL T) -7 NIL NIL) (-848 2285153 2287448 2287588 "OREUP" 2287734 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL) (-847 2282540 2284842 2284970 "ORESUP" 2285095 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL) (-846 2280048 2280554 2281119 "OREPCTO" 2282025 NIL OREPCTO (NIL T T) -7 NIL NIL) (-845 2273918 2276129 2276171 "OREPCAT" 2278519 NIL OREPCAT (NIL T) -9 NIL 2279619) (-844 2271065 2271847 2272905 "OREPCAT-" 2272910 NIL OREPCAT- (NIL T T) -8 NIL NIL) (-843 2270241 2270513 2270542 "ORDSET" 2270851 T ORDSET (NIL) -9 NIL 2271015) (-842 2269760 2269882 2270075 "ORDSET-" 2270080 NIL ORDSET- (NIL T) -8 NIL NIL) (-841 2268369 2269170 2269199 "ORDRING" 2269401 T ORDRING (NIL) -9 NIL 2269526) (-840 2268014 2268108 2268252 "ORDRING-" 2268257 NIL ORDRING- (NIL T) -8 NIL NIL) (-839 2267388 2267869 2267898 "ORDMON" 2267903 T ORDMON (NIL) -9 NIL 2267924) (-838 2266550 2266697 2266892 "ORDFUNS" 2267237 NIL ORDFUNS (NIL NIL T) -7 NIL NIL) (-837 2266060 2266419 2266448 "ORDFIN" 2266453 T ORDFIN (NIL) -9 NIL 2266474) (-836 2262572 2264652 2265058 "ORDCOMP" 2265687 NIL ORDCOMP (NIL T) -8 NIL NIL) (-835 2261838 2261965 2262151 "ORDCOMP2" 2262432 NIL ORDCOMP2 (NIL T T) -7 NIL NIL) (-834 2258346 2259228 2260065 "OPTPROB" 2261021 T OPTPROB (NIL) -8 NIL NIL) (-833 2255148 2255787 2256491 "OPTPACK" 2257662 T OPTPACK (NIL) -7 NIL NIL) (-832 2252860 2253600 2253629 "OPTCAT" 2254448 T OPTCAT (NIL) -9 NIL 2255098) (-831 2252628 2252667 2252733 "OPQUERY" 2252814 T OPQUERY (NIL) -7 NIL NIL) (-830 2249754 2250945 2251446 "OP" 2252160 NIL OP (NIL T) -8 NIL NIL) (-829 2246519 2248557 2248923 "ONECOMP" 2249421 NIL ONECOMP (NIL T) -8 NIL NIL) (-828 2245824 2245939 2246113 "ONECOMP2" 2246391 NIL ONECOMP2 (NIL T T) -7 NIL NIL) (-827 2245243 2245349 2245479 "OMSERVER" 2245714 T OMSERVER (NIL) -7 NIL NIL) (-826 2242130 2244682 2244723 "OMSAGG" 2244784 NIL OMSAGG (NIL T) -9 NIL 2244848) (-825 2240753 2241016 2241298 "OMPKG" 2241868 T OMPKG (NIL) -7 NIL NIL) (-824 2240182 2240285 2240314 "OM" 2240613 T OM (NIL) -9 NIL NIL) (-823 2238720 2239733 2239901 "OMLO" 2240064 NIL OMLO (NIL T T) -8 NIL NIL) (-822 2237645 2237792 2238019 "OMEXPR" 2238546 NIL OMEXPR (NIL T) -7 NIL NIL) (-821 2236963 2237191 2237327 "OMERR" 2237529 T OMERR (NIL) -8 NIL NIL) (-820 2236141 2236384 2236544 "OMERRK" 2236823 T OMERRK (NIL) -8 NIL NIL) (-819 2235619 2235818 2235926 "OMENC" 2236053 T OMENC (NIL) -8 NIL NIL) (-818 2229514 2230699 2231870 "OMDEV" 2234468 T OMDEV (NIL) -8 NIL NIL) (-817 2228583 2228754 2228948 "OMCONN" 2229340 T OMCONN (NIL) -8 NIL NIL) (-816 2227194 2228180 2228209 "OINTDOM" 2228214 T OINTDOM (NIL) -9 NIL 2228235) (-815 2222845 2224100 2224844 "OFMONOID" 2226482 NIL OFMONOID (NIL T) -8 NIL NIL) (-814 2222283 2222782 2222827 "ODVAR" 2222832 NIL ODVAR (NIL T) -8 NIL NIL) (-813 2219410 2221782 2221966 "ODR" 2222159 NIL ODR (NIL T T NIL) -8 NIL NIL) (-812 2211708 2219186 2219312 "ODPOL" 2219317 NIL ODPOL (NIL T) -8 NIL NIL) (-811 2205502 2211580 2211685 "ODP" 2211690 NIL ODP (NIL NIL T NIL) -8 NIL NIL) (-810 2204268 2204483 2204758 "ODETOOLS" 2205276 NIL ODETOOLS (NIL T T) -7 NIL NIL) (-809 2201237 2201893 2202609 "ODESYS" 2203601 NIL ODESYS (NIL T T) -7 NIL NIL) (-808 2196121 2197029 2198053 "ODERTRIC" 2200313 NIL ODERTRIC (NIL T T) -7 NIL NIL) (-807 2195547 2195629 2195823 "ODERED" 2196033 NIL ODERED (NIL T T T T T) -7 NIL NIL) (-806 2192435 2192983 2193660 "ODERAT" 2194970 NIL ODERAT (NIL T T) -7 NIL NIL) (-805 2189395 2189859 2190456 "ODEPRRIC" 2191964 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL) (-804 2187266 2187833 2188342 "ODEPROB" 2188906 T ODEPROB (NIL) -8 NIL NIL) (-803 2183788 2184271 2184918 "ODEPRIM" 2186745 NIL ODEPRIM (NIL T T T T) -7 NIL NIL) (-802 2183037 2183139 2183399 "ODEPAL" 2183680 NIL ODEPAL (NIL T T T T) -7 NIL NIL) (-801 2179199 2179990 2180854 "ODEPACK" 2182193 T ODEPACK (NIL) -7 NIL NIL) (-800 2178232 2178339 2178568 "ODEINT" 2179088 NIL ODEINT (NIL T T) -7 NIL NIL) (-799 2172333 2173758 2175205 "ODEIFTBL" 2176805 T ODEIFTBL (NIL) -8 NIL NIL) (-798 2167668 2168454 2169413 "ODEEF" 2171492 NIL ODEEF (NIL T T) -7 NIL NIL) (-797 2167003 2167092 2167322 "ODECONST" 2167573 NIL ODECONST (NIL T T T) -7 NIL NIL) (-796 2165153 2165788 2165817 "ODECAT" 2166422 T ODECAT (NIL) -9 NIL 2166953) (-795 2161997 2164858 2164980 "OCT" 2165063 NIL OCT (NIL T) -8 NIL NIL) (-794 2161635 2161678 2161805 "OCTCT2" 2161948 NIL OCTCT2 (NIL T T T T) -7 NIL NIL) (-793 2156459 2158903 2158944 "OC" 2160041 NIL OC (NIL T) -9 NIL 2160891) (-792 2153686 2154434 2155424 "OC-" 2155518 NIL OC- (NIL T T) -8 NIL NIL) (-791 2153063 2153505 2153534 "OCAMON" 2153539 T OCAMON (NIL) -9 NIL 2153560) (-790 2152515 2152922 2152951 "OASGP" 2152956 T OASGP (NIL) -9 NIL 2152976) (-789 2151801 2152264 2152293 "OAMONS" 2152333 T OAMONS (NIL) -9 NIL 2152376) (-788 2151240 2151647 2151676 "OAMON" 2151681 T OAMON (NIL) -9 NIL 2151701) (-787 2150543 2151035 2151064 "OAGROUP" 2151069 T OAGROUP (NIL) -9 NIL 2151089) (-786 2150233 2150283 2150371 "NUMTUBE" 2150487 NIL NUMTUBE (NIL T) -7 NIL NIL) (-785 2143806 2145324 2146860 "NUMQUAD" 2148717 T NUMQUAD (NIL) -7 NIL NIL) (-784 2139562 2140550 2141575 "NUMODE" 2142801 T NUMODE (NIL) -7 NIL NIL) (-783 2136942 2137796 2137825 "NUMINT" 2138748 T NUMINT (NIL) -9 NIL 2139512) (-782 2135890 2136087 2136305 "NUMFMT" 2136744 T NUMFMT (NIL) -7 NIL NIL) (-781 2122268 2125210 2127734 "NUMERIC" 2133405 NIL NUMERIC (NIL T) -7 NIL NIL) (-780 2116671 2121716 2121812 "NTSCAT" 2121817 NIL NTSCAT (NIL T T T T) -9 NIL 2121856) (-779 2115867 2116032 2116224 "NTPOLFN" 2116511 NIL NTPOLFN (NIL T) -7 NIL NIL) (-778 2103663 2112694 2113505 "NSUP" 2115089 NIL NSUP (NIL T) -8 NIL NIL) (-777 2103295 2103352 2103461 "NSUP2" 2103600 NIL NSUP2 (NIL T T) -7 NIL NIL) (-776 2093246 2103069 2103202 "NSMP" 2103207 NIL NSMP (NIL T T) -8 NIL NIL) (-775 2081338 2092828 2092992 "NSDPS" 2093114 NIL NSDPS (NIL T) -8 NIL NIL) (-774 2079770 2080071 2080428 "NREP" 2081026 NIL NREP (NIL T) -7 NIL NIL) (-773 2076859 2077407 2078056 "NPOLYGON" 2079212 NIL NPOLYGON (NIL T T T NIL) -7 NIL NIL) (-772 2075450 2075702 2076060 "NPCOEF" 2076602 NIL NPCOEF (NIL T T T T T) -7 NIL NIL) (-771 2074732 2075234 2075318 "NOTTING" 2075398 NIL NOTTING (NIL T) -8 NIL NIL) (-770 2073798 2073913 2074129 "NORMRETR" 2074613 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL) (-769 2071839 2072129 2072538 "NORMPK" 2073506 NIL NORMPK (NIL T T T T T) -7 NIL NIL) (-768 2071524 2071552 2071676 "NORMMA" 2071805 NIL NORMMA (NIL T T T T) -7 NIL NIL) (-767 2071351 2071481 2071510 "NONE" 2071515 T NONE (NIL) -8 NIL NIL) (-766 2071140 2071169 2071238 "NONE1" 2071315 NIL NONE1 (NIL T) -7 NIL NIL) (-765 2070623 2070685 2070871 "NODE1" 2071072 NIL NODE1 (NIL T T) -7 NIL NIL) (-764 2068917 2069786 2070041 "NNI" 2070388 T NNI (NIL) -8 NIL NIL) (-763 2067337 2067650 2068014 "NLINSOL" 2068585 NIL NLINSOL (NIL T) -7 NIL NIL) (-762 2063505 2064472 2065394 "NIPROB" 2066435 T NIPROB (NIL) -8 NIL NIL) (-761 2062262 2062496 2062798 "NFINTBAS" 2063267 NIL NFINTBAS (NIL T T) -7 NIL NIL) (-760 2061991 2062034 2062115 "NEWTON" 2062213 NIL NEWTON (NIL T) -7 NIL NIL) (-759 2060699 2060930 2061211 "NCODIV" 2061759 NIL NCODIV (NIL T T) -7 NIL NIL) (-758 2060461 2060498 2060573 "NCNTFRAC" 2060656 NIL NCNTFRAC (NIL T) -7 NIL NIL) (-757 2058641 2059005 2059425 "NCEP" 2060086 NIL NCEP (NIL T) -7 NIL NIL) (-756 2057551 2058290 2058319 "NASRING" 2058429 T NASRING (NIL) -9 NIL 2058503) (-755 2057346 2057390 2057484 "NASRING-" 2057489 NIL NASRING- (NIL T) -8 NIL NIL) (-754 2056498 2056997 2057026 "NARNG" 2057143 T NARNG (NIL) -9 NIL 2057234) (-753 2056190 2056257 2056391 "NARNG-" 2056396 NIL NARNG- (NIL T) -8 NIL NIL) (-752 2055069 2055276 2055511 "NAGSP" 2055975 T NAGSP (NIL) -7 NIL NIL) (-751 2046341 2048025 2049698 "NAGS" 2053416 T NAGS (NIL) -7 NIL NIL) (-750 2044889 2045197 2045528 "NAGF07" 2046030 T NAGF07 (NIL) -7 NIL NIL) (-749 2039427 2040718 2042025 "NAGF04" 2043602 T NAGF04 (NIL) -7 NIL NIL) (-748 2032395 2034009 2035642 "NAGF02" 2037814 T NAGF02 (NIL) -7 NIL NIL) (-747 2027619 2028719 2029836 "NAGF01" 2031298 T NAGF01 (NIL) -7 NIL NIL) (-746 2021247 2022813 2024398 "NAGE04" 2026054 T NAGE04 (NIL) -7 NIL NIL) (-745 2012416 2014537 2016667 "NAGE02" 2019137 T NAGE02 (NIL) -7 NIL NIL) (-744 2008369 2009316 2010280 "NAGE01" 2011472 T NAGE01 (NIL) -7 NIL NIL) (-743 2006164 2006698 2007256 "NAGD03" 2007831 T NAGD03 (NIL) -7 NIL NIL) (-742 1997914 1999842 2001796 "NAGD02" 2004230 T NAGD02 (NIL) -7 NIL NIL) (-741 1991725 1993150 1994590 "NAGD01" 1996494 T NAGD01 (NIL) -7 NIL NIL) (-740 1987934 1988756 1989593 "NAGC06" 1990908 T NAGC06 (NIL) -7 NIL NIL) (-739 1986399 1986731 1987087 "NAGC05" 1987598 T NAGC05 (NIL) -7 NIL NIL) (-738 1985775 1985894 1986038 "NAGC02" 1986275 T NAGC02 (NIL) -7 NIL NIL) (-737 1984834 1985391 1985432 "NAALG" 1985511 NIL NAALG (NIL T) -9 NIL 1985572) (-736 1984669 1984698 1984788 "NAALG-" 1984793 NIL NAALG- (NIL T T) -8 NIL NIL) (-735 1975545 1983785 1984060 "MYUP" 1984440 NIL MYUP (NIL NIL T) -8 NIL NIL) (-734 1965908 1974001 1974372 "MYEXPR" 1975240 NIL MYEXPR (NIL NIL T) -8 NIL NIL) (-733 1959858 1960966 1962153 "MULTSQFR" 1964804 NIL MULTSQFR (NIL T T T T) -7 NIL NIL) (-732 1959177 1959252 1959436 "MULTFACT" 1959770 NIL MULTFACT (NIL T T T T) -7 NIL NIL) (-731 1952302 1956211 1956265 "MTSCAT" 1957335 NIL MTSCAT (NIL T T) -9 NIL 1957849) (-730 1952014 1952068 1952160 "MTHING" 1952242 NIL MTHING (NIL T) -7 NIL NIL) (-729 1951806 1951839 1951899 "MSYSCMD" 1951974 T MSYSCMD (NIL) -7 NIL NIL) (-728 1947918 1950561 1950881 "MSET" 1951519 NIL MSET (NIL T) -8 NIL NIL) (-727 1945012 1947478 1947520 "MSETAGG" 1947525 NIL MSETAGG (NIL T) -9 NIL 1947559) (-726 1940861 1942403 1943142 "MRING" 1944318 NIL MRING (NIL T T) -8 NIL NIL) (-725 1940427 1940494 1940625 "MRF2" 1940788 NIL MRF2 (NIL T T T) -7 NIL NIL) (-724 1940045 1940080 1940224 "MRATFAC" 1940386 NIL MRATFAC (NIL T T T T) -7 NIL NIL) (-723 1937657 1937952 1938383 "MPRFF" 1939750 NIL MPRFF (NIL T T T T) -7 NIL NIL) (-722 1931671 1937511 1937608 "MPOLY" 1937613 NIL MPOLY (NIL NIL T) -8 NIL NIL) (-721 1931161 1931196 1931404 "MPCPF" 1931630 NIL MPCPF (NIL T T T T) -7 NIL NIL) (-720 1930675 1930718 1930902 "MPC3" 1931112 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL) (-719 1929870 1929951 1930172 "MPC2" 1930590 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL) (-718 1928171 1928508 1928898 "MONOTOOL" 1929530 NIL MONOTOOL (NIL T T) -7 NIL NIL) (-717 1927294 1927629 1927658 "MONOID" 1927935 T MONOID (NIL) -9 NIL 1928107) (-716 1926672 1926835 1927078 "MONOID-" 1927083 NIL MONOID- (NIL T) -8 NIL NIL) (-715 1917598 1923583 1923643 "MONOGEN" 1924317 NIL MONOGEN (NIL T T) -9 NIL 1924770) (-714 1914816 1915551 1916551 "MONOGEN-" 1916670 NIL MONOGEN- (NIL T T T) -8 NIL NIL) (-713 1913674 1914094 1914123 "MONADWU" 1914515 T MONADWU (NIL) -9 NIL 1914753) (-712 1913046 1913205 1913453 "MONADWU-" 1913458 NIL MONADWU- (NIL T) -8 NIL NIL) (-711 1912430 1912648 1912677 "MONAD" 1912884 T MONAD (NIL) -9 NIL 1912996) (-710 1912115 1912193 1912325 "MONAD-" 1912330 NIL MONAD- (NIL T) -8 NIL NIL) (-709 1910366 1911028 1911307 "MOEBIUS" 1911868 NIL MOEBIUS (NIL T) -8 NIL NIL) (-708 1909757 1910135 1910176 "MODULE" 1910181 NIL MODULE (NIL T) -9 NIL 1910207) (-707 1909325 1909421 1909611 "MODULE-" 1909616 NIL MODULE- (NIL T T) -8 NIL NIL) (-706 1906994 1907689 1908016 "MODRING" 1909149 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL) (-705 1903940 1905105 1905623 "MODOP" 1906526 NIL MODOP (NIL T T) -8 NIL NIL) (-704 1902127 1902579 1902920 "MODMONOM" 1903739 NIL MODMONOM (NIL T T NIL) -8 NIL NIL) (-703 1891792 1900323 1900744 "MODMON" 1901757 NIL MODMON (NIL T T) -8 NIL NIL) (-702 1888918 1890636 1890912 "MODFIELD" 1891667 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL) (-701 1887922 1888199 1888389 "MMLFORM" 1888748 T MMLFORM (NIL) -8 NIL NIL) (-700 1887448 1887491 1887670 "MMAP" 1887873 NIL MMAP (NIL T T T T T T) -7 NIL NIL) (-699 1885673 1886450 1886492 "MLO" 1886915 NIL MLO (NIL T) -9 NIL 1887156) (-698 1883040 1883555 1884157 "MLIFT" 1885154 NIL MLIFT (NIL T T T T) -7 NIL NIL) (-697 1882431 1882515 1882669 "MKUCFUNC" 1882951 NIL MKUCFUNC (NIL T T T) -7 NIL NIL) (-696 1882030 1882100 1882223 "MKRECORD" 1882354 NIL MKRECORD (NIL T T) -7 NIL NIL) (-695 1881078 1881239 1881467 "MKFUNC" 1881841 NIL MKFUNC (NIL T) -7 NIL NIL) (-694 1880466 1880570 1880726 "MKFLCFN" 1880961 NIL MKFLCFN (NIL T) -7 NIL NIL) (-693 1879892 1880259 1880348 "MKCHSET" 1880410 NIL MKCHSET (NIL T) -8 NIL NIL) (-692 1879169 1879271 1879456 "MKBCFUNC" 1879785 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL) (-691 1875853 1878723 1878859 "MINT" 1879053 T MINT (NIL) -8 NIL NIL) (-690 1874665 1874908 1875185 "MHROWRED" 1875608 NIL MHROWRED (NIL T) -7 NIL NIL) (-689 1869932 1873106 1873532 "MFLOAT" 1874259 T MFLOAT (NIL) -8 NIL NIL) (-688 1869289 1869365 1869536 "MFINFACT" 1869844 NIL MFINFACT (NIL T T T T) -7 NIL NIL) (-687 1865604 1866452 1867336 "MESH" 1868425 T MESH (NIL) -7 NIL NIL) (-686 1863994 1864306 1864659 "MDDFACT" 1865291 NIL MDDFACT (NIL T) -7 NIL NIL) (-685 1860876 1863187 1863229 "MDAGG" 1863484 NIL MDAGG (NIL T) -9 NIL 1863627) (-684 1850564 1860169 1860376 "MCMPLX" 1860689 T MCMPLX (NIL) -8 NIL NIL) (-683 1849705 1849851 1850051 "MCDEN" 1850413 NIL MCDEN (NIL T T) -7 NIL NIL) (-682 1847595 1847865 1848245 "MCALCFN" 1849435 NIL MCALCFN (NIL T T T T) -7 NIL NIL) (-681 1845207 1845730 1846292 "MATSTOR" 1847066 NIL MATSTOR (NIL T) -7 NIL NIL) (-680 1841121 1844583 1844829 "MATRIX" 1844994 NIL MATRIX (NIL T) -8 NIL NIL) (-679 1836897 1837600 1838333 "MATLIN" 1840481 NIL MATLIN (NIL T T T T) -7 NIL NIL) (-678 1826662 1829883 1829961 "MATCAT" 1835091 NIL MATCAT (NIL T T T) -9 NIL 1836598) (-677 1822861 1823929 1825340 "MATCAT-" 1825345 NIL MATCAT- (NIL T T T T) -8 NIL NIL) (-676 1821455 1821608 1821941 "MATCAT2" 1822696 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-675 1820195 1820461 1820776 "MAPPKG4" 1821186 NIL MAPPKG4 (NIL T T) -7 NIL NIL) (-674 1818307 1818631 1819015 "MAPPKG3" 1819870 NIL MAPPKG3 (NIL T T T) -7 NIL NIL) (-673 1817288 1817461 1817683 "MAPPKG2" 1818131 NIL MAPPKG2 (NIL T T) -7 NIL NIL) (-672 1815787 1816071 1816398 "MAPPKG1" 1816994 NIL MAPPKG1 (NIL T) -7 NIL NIL) (-671 1815398 1815456 1815579 "MAPHACK3" 1815723 NIL MAPHACK3 (NIL T T T) -7 NIL NIL) (-670 1814990 1815051 1815165 "MAPHACK2" 1815330 NIL MAPHACK2 (NIL T T) -7 NIL NIL) (-669 1814428 1814531 1814673 "MAPHACK1" 1814881 NIL MAPHACK1 (NIL T) -7 NIL NIL) (-668 1812534 1813128 1813432 "MAGMA" 1814156 NIL MAGMA (NIL T) -8 NIL NIL) (-667 1809009 1810775 1811235 "M3D" 1812107 NIL M3D (NIL T) -8 NIL NIL) (-666 1803203 1807409 1807451 "LZSTAGG" 1808233 NIL LZSTAGG (NIL T) -9 NIL 1808528) (-665 1799177 1800334 1801791 "LZSTAGG-" 1801796 NIL LZSTAGG- (NIL T T) -8 NIL NIL) (-664 1796291 1797068 1797555 "LWORD" 1798722 NIL LWORD (NIL T) -8 NIL NIL) (-663 1789446 1796062 1796196 "LSQM" 1796201 NIL LSQM (NIL NIL T) -8 NIL NIL) (-662 1788670 1788809 1789037 "LSPP" 1789301 NIL LSPP (NIL T T T T) -7 NIL NIL) (-661 1786482 1786783 1787239 "LSMP" 1788359 NIL LSMP (NIL T T T T) -7 NIL NIL) (-660 1783261 1783935 1784665 "LSMP1" 1785784 NIL LSMP1 (NIL T) -7 NIL NIL) (-659 1777218 1782451 1782493 "LSAGG" 1782555 NIL LSAGG (NIL T) -9 NIL 1782633) (-658 1773913 1774837 1776050 "LSAGG-" 1776055 NIL LSAGG- (NIL T T) -8 NIL NIL) (-657 1771539 1773057 1773306 "LPOLY" 1773708 NIL LPOLY (NIL T T) -8 NIL NIL) (-656 1771121 1771206 1771329 "LPEFRAC" 1771448 NIL LPEFRAC (NIL T) -7 NIL NIL) (-655 1768685 1768934 1769366 "LPARSPT" 1770863 NIL LPARSPT (NIL T NIL T T T T T) -7 NIL NIL) (-654 1767160 1767487 1767847 "LOP" 1768357 NIL LOP (NIL T) -7 NIL NIL) (-653 1765509 1766256 1766508 "LO" 1766993 NIL LO (NIL T T T) -8 NIL NIL) (-652 1765160 1765272 1765301 "LOGIC" 1765412 T LOGIC (NIL) -9 NIL 1765493) (-651 1765022 1765045 1765116 "LOGIC-" 1765121 NIL LOGIC- (NIL T) -8 NIL NIL) (-650 1764215 1764355 1764548 "LODOOPS" 1764878 NIL LODOOPS (NIL T T) -7 NIL NIL) (-649 1761627 1764131 1764197 "LODO" 1764202 NIL LODO (NIL T NIL) -8 NIL NIL) (-648 1760167 1760402 1760754 "LODOF" 1761375 NIL LODOF (NIL T T) -7 NIL NIL) (-647 1756566 1759007 1759049 "LODOCAT" 1759487 NIL LODOCAT (NIL T) -9 NIL 1759697) (-646 1756299 1756357 1756484 "LODOCAT-" 1756489 NIL LODOCAT- (NIL T T) -8 NIL NIL) (-645 1753608 1756140 1756258 "LODO2" 1756263 NIL LODO2 (NIL T T) -8 NIL NIL) (-644 1751032 1753545 1753590 "LODO1" 1753595 NIL LODO1 (NIL T) -8 NIL NIL) (-643 1749892 1750057 1750369 "LODEEF" 1750855 NIL LODEEF (NIL T T T) -7 NIL NIL) (-642 1742719 1746884 1746925 "LOCPOWC" 1748387 NIL LOCPOWC (NIL T) -9 NIL 1748964) (-641 1738043 1740881 1740923 "LNAGG" 1741870 NIL LNAGG (NIL T) -9 NIL 1742313) (-640 1737190 1737404 1737746 "LNAGG-" 1737751 NIL LNAGG- (NIL T T) -8 NIL NIL) (-639 1733353 1734115 1734754 "LMOPS" 1736605 NIL LMOPS (NIL T T NIL) -8 NIL NIL) (-638 1732747 1733109 1733151 "LMODULE" 1733212 NIL LMODULE (NIL T) -9 NIL 1733254) (-637 1729999 1732392 1732515 "LMDICT" 1732657 NIL LMDICT (NIL T) -8 NIL NIL) (-636 1729156 1729290 1729477 "LISYSER" 1729861 NIL LISYSER (NIL T T) -7 NIL NIL) (-635 1722393 1728106 1728402 "LIST" 1728893 NIL LIST (NIL T) -8 NIL NIL) (-634 1721918 1721992 1722131 "LIST3" 1722313 NIL LIST3 (NIL T T T) -7 NIL NIL) (-633 1720925 1721103 1721331 "LIST2" 1721736 NIL LIST2 (NIL T T) -7 NIL NIL) (-632 1719059 1719371 1719770 "LIST2MAP" 1720572 NIL LIST2MAP (NIL T T) -7 NIL NIL) (-631 1717764 1718444 1718486 "LINEXP" 1718741 NIL LINEXP (NIL T) -9 NIL 1718890) (-630 1716411 1716671 1716968 "LINDEP" 1717516 NIL LINDEP (NIL T T) -7 NIL NIL) (-629 1713178 1713897 1714674 "LIMITRF" 1715666 NIL LIMITRF (NIL T) -7 NIL NIL) (-628 1711454 1711749 1712165 "LIMITPS" 1712873 NIL LIMITPS (NIL T T) -7 NIL NIL) (-627 1705913 1710969 1711195 "LIE" 1711277 NIL LIE (NIL T T) -8 NIL NIL) (-626 1704962 1705405 1705446 "LIECAT" 1705586 NIL LIECAT (NIL T) -9 NIL 1705736) (-625 1704803 1704830 1704918 "LIECAT-" 1704923 NIL LIECAT- (NIL T T) -8 NIL NIL) (-624 1697337 1704182 1704365 "LIB" 1704640 T LIB (NIL) -8 NIL NIL) (-623 1692974 1693855 1694790 "LGROBP" 1696454 NIL LGROBP (NIL NIL T) -7 NIL NIL) (-622 1690455 1690779 1691190 "LF" 1692647 NIL LF (NIL T T) -7 NIL NIL) (-621 1689152 1689882 1689911 "LFCAT" 1690186 T LFCAT (NIL) -9 NIL 1690361) (-620 1686056 1686684 1687372 "LEXTRIPK" 1688516 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL) (-619 1682762 1683626 1684129 "LEXP" 1685636 NIL LEXP (NIL T T NIL) -8 NIL NIL) (-618 1681160 1681473 1681874 "LEADCDET" 1682444 NIL LEADCDET (NIL T T T T) -7 NIL NIL) (-617 1680350 1680424 1680653 "LAZM3PK" 1681081 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL) (-616 1675266 1678433 1678968 "LAUPOL" 1679865 NIL LAUPOL (NIL T T) -8 NIL NIL) (-615 1674831 1674875 1675043 "LAPLACE" 1675216 NIL LAPLACE (NIL T T) -7 NIL NIL) (-614 1672761 1673934 1674184 "LA" 1674665 NIL LA (NIL T T T) -8 NIL NIL) (-613 1671817 1672411 1672453 "LALG" 1672515 NIL LALG (NIL T) -9 NIL 1672574) (-612 1671531 1671590 1671726 "LALG-" 1671731 NIL LALG- (NIL T T) -8 NIL NIL) (-611 1670435 1670622 1670921 "KOVACIC" 1671331 NIL KOVACIC (NIL T T) -7 NIL NIL) (-610 1670269 1670293 1670335 "KONVERT" 1670397 NIL KONVERT (NIL T) -9 NIL NIL) (-609 1670103 1670127 1670169 "KOERCE" 1670231 NIL KOERCE (NIL T) -9 NIL NIL) (-608 1667839 1668599 1668991 "KERNEL" 1669743 NIL KERNEL (NIL T) -8 NIL NIL) (-607 1667341 1667422 1667552 "KERNEL2" 1667753 NIL KERNEL2 (NIL T T) -7 NIL NIL) (-606 1661024 1665706 1665761 "KDAGG" 1666138 NIL KDAGG (NIL T T) -9 NIL 1666344) (-605 1660553 1660677 1660882 "KDAGG-" 1660887 NIL KDAGG- (NIL T T T) -8 NIL NIL) (-604 1653702 1660214 1660369 "KAFILE" 1660431 NIL KAFILE (NIL T) -8 NIL NIL) (-603 1648161 1653217 1653443 "JORDAN" 1653525 NIL JORDAN (NIL T T) -8 NIL NIL) (-602 1644504 1646404 1646459 "IXAGG" 1647388 NIL IXAGG (NIL T T) -9 NIL 1647843) (-601 1643423 1643729 1644148 "IXAGG-" 1644153 NIL IXAGG- (NIL T T T) -8 NIL NIL) (-600 1639007 1643345 1643404 "IVECTOR" 1643409 NIL IVECTOR (NIL T NIL) -8 NIL NIL) (-599 1637773 1638010 1638276 "ITUPLE" 1638774 NIL ITUPLE (NIL T) -8 NIL NIL) (-598 1636197 1636374 1636682 "ITRIGMNP" 1637595 NIL ITRIGMNP (NIL T T T) -7 NIL NIL) (-597 1634942 1635146 1635429 "ITFUN3" 1635973 NIL ITFUN3 (NIL T T T) -7 NIL NIL) (-596 1634574 1634631 1634740 "ITFUN2" 1634879 NIL ITFUN2 (NIL T T) -7 NIL NIL) (-595 1632367 1633438 1633736 "ITAYLOR" 1634309 NIL ITAYLOR (NIL T) -8 NIL NIL) (-594 1621306 1626506 1627668 "ISUPS" 1631238 NIL ISUPS (NIL T) -8 NIL NIL) (-593 1620410 1620550 1620786 "ISUMP" 1621153 NIL ISUMP (NIL T T T T) -7 NIL NIL) (-592 1615680 1620211 1620290 "ISTRING" 1620363 NIL ISTRING (NIL NIL) -8 NIL NIL) (-591 1614890 1614971 1615187 "IRURPK" 1615594 NIL IRURPK (NIL T T T T T) -7 NIL NIL) (-590 1613826 1614027 1614267 "IRSN" 1614670 T IRSN (NIL) -7 NIL NIL) (-589 1611857 1612212 1612647 "IRRF2F" 1613465 NIL IRRF2F (NIL T) -7 NIL NIL) (-588 1611604 1611642 1611718 "IRREDFFX" 1611813 NIL IRREDFFX (NIL T) -7 NIL NIL) (-587 1610219 1610478 1610777 "IROOT" 1611337 NIL IROOT (NIL T) -7 NIL NIL) (-586 1606855 1607907 1608597 "IR" 1609561 NIL IR (NIL T) -8 NIL NIL) (-585 1604468 1604963 1605529 "IR2" 1606333 NIL IR2 (NIL T T) -7 NIL NIL) (-584 1603540 1603653 1603874 "IR2F" 1604351 NIL IR2F (NIL T T) -7 NIL NIL) (-583 1603331 1603365 1603425 "IPRNTPK" 1603500 T IPRNTPK (NIL) -7 NIL NIL) (-582 1599885 1603220 1603289 "IPF" 1603294 NIL IPF (NIL NIL) -8 NIL NIL) (-581 1598202 1599810 1599867 "IPADIC" 1599872 NIL IPADIC (NIL NIL NIL) -8 NIL NIL) (-580 1597699 1597757 1597947 "INVLAPLA" 1598138 NIL INVLAPLA (NIL T T) -7 NIL NIL) (-579 1587348 1589701 1592087 "INTTR" 1595363 NIL INTTR (NIL T T) -7 NIL NIL) (-578 1583706 1584448 1585305 "INTTOOLS" 1586540 NIL INTTOOLS (NIL T T) -7 NIL NIL) (-577 1583292 1583383 1583500 "INTSLPE" 1583609 T INTSLPE (NIL) -7 NIL NIL) (-576 1581242 1583215 1583274 "INTRVL" 1583279 NIL INTRVL (NIL T) -8 NIL NIL) (-575 1578844 1579356 1579931 "INTRF" 1580727 NIL INTRF (NIL T) -7 NIL NIL) (-574 1578255 1578352 1578494 "INTRET" 1578742 NIL INTRET (NIL T) -7 NIL NIL) (-573 1576252 1576641 1577111 "INTRAT" 1577863 NIL INTRAT (NIL T T) -7 NIL NIL) (-572 1573488 1574071 1574693 "INTPM" 1575741 NIL INTPM (NIL T T) -7 NIL NIL) (-571 1570193 1570792 1571536 "INTPAF" 1572875 NIL INTPAF (NIL T T T) -7 NIL NIL) (-570 1565372 1566334 1567385 "INTPACK" 1569162 T INTPACK (NIL) -7 NIL NIL) (-569 1562226 1565101 1565228 "INT" 1565265 T INT (NIL) -8 NIL NIL) (-568 1561478 1561630 1561838 "INTHERTR" 1562068 NIL INTHERTR (NIL T T) -7 NIL NIL) (-567 1560917 1560997 1561185 "INTHERAL" 1561392 NIL INTHERAL (NIL T T T T) -7 NIL NIL) (-566 1558763 1559206 1559663 "INTHEORY" 1560480 T INTHEORY (NIL) -7 NIL NIL) (-565 1550074 1551694 1553472 "INTG0" 1557116 NIL INTG0 (NIL T T T) -7 NIL NIL) (-564 1530647 1535437 1540247 "INTFTBL" 1545284 T INTFTBL (NIL) -8 NIL NIL) (-563 1528684 1528891 1529292 "INTFRSP" 1530437 NIL INTFRSP (NIL T NIL T T T T T T) -7 NIL NIL) (-562 1527933 1528071 1528244 "INTFACT" 1528543 NIL INTFACT (NIL T) -7 NIL NIL) (-561 1527523 1527565 1527716 "INTERGB" 1527885 NIL INTERGB (NIL T NIL T T T) -7 NIL NIL) (-560 1524908 1525354 1525918 "INTEF" 1527077 NIL INTEF (NIL T T) -7 NIL NIL) (-559 1523365 1524114 1524143 "INTDOM" 1524444 T INTDOM (NIL) -9 NIL 1524651) (-558 1522734 1522908 1523150 "INTDOM-" 1523155 NIL INTDOM- (NIL T) -8 NIL NIL) (-557 1521338 1521443 1521833 "INTDIVP" 1522624 NIL INTDIVP (NIL T NIL T T T T T T T T T) -7 NIL NIL) (-556 1517824 1519754 1519809 "INTCAT" 1520608 NIL INTCAT (NIL T) -9 NIL 1520929) (-555 1517297 1517399 1517527 "INTBIT" 1517716 T INTBIT (NIL) -7 NIL NIL) (-554 1515968 1516122 1516436 "INTALG" 1517142 NIL INTALG (NIL T T T T T) -7 NIL NIL) (-553 1515425 1515515 1515685 "INTAF" 1515872 NIL INTAF (NIL T T) -7 NIL NIL) (-552 1508891 1515235 1515375 "INTABL" 1515380 NIL INTABL (NIL T T T) -8 NIL NIL) (-551 1503836 1506562 1506591 "INS" 1507559 T INS (NIL) -9 NIL 1508242) (-550 1501076 1501847 1502821 "INS-" 1502894 NIL INS- (NIL T) -8 NIL NIL) (-549 1499851 1500078 1500376 "INPSIGN" 1500829 NIL INPSIGN (NIL T T) -7 NIL NIL) (-548 1498969 1499086 1499283 "INPRODPF" 1499731 NIL INPRODPF (NIL T T) -7 NIL NIL) (-547 1497863 1497980 1498217 "INPRODFF" 1498849 NIL INPRODFF (NIL T T T T) -7 NIL NIL) (-546 1496863 1497015 1497275 "INNMFACT" 1497699 NIL INNMFACT (NIL T T T T) -7 NIL NIL) (-545 1496060 1496157 1496345 "INMODGCD" 1496762 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL) (-544 1494569 1494813 1495137 "INFSP" 1495805 NIL INFSP (NIL T T T) -7 NIL NIL) (-543 1493753 1493870 1494053 "INFPROD0" 1494449 NIL INFPROD0 (NIL T T) -7 NIL NIL) (-542 1490634 1491818 1492333 "INFORM" 1493246 T INFORM (NIL) -8 NIL NIL) (-541 1490244 1490304 1490402 "INFORM1" 1490569 NIL INFORM1 (NIL T) -7 NIL NIL) (-540 1489767 1489856 1489970 "INFINITY" 1490150 T INFINITY (NIL) -7 NIL NIL) (-539 1487450 1488447 1488790 "INFCLSPT" 1489627 NIL INFCLSPT (NIL T NIL T T T T T T T) -8 NIL NIL) (-538 1485327 1486572 1486866 "INFCLSPS" 1487220 NIL INFCLSPS (NIL T NIL T) -8 NIL NIL) (-537 1477877 1478800 1479021 "INFCLCT" 1484452 NIL INFCLCT (NIL T NIL T T T T T T T) -9 NIL 1485263) (-536 1476495 1476743 1477064 "INEP" 1477625 NIL INEP (NIL T T T) -7 NIL NIL) (-535 1475771 1476392 1476457 "INDE" 1476462 NIL INDE (NIL T) -8 NIL NIL) (-534 1475335 1475403 1475520 "INCRMAPS" 1475698 NIL INCRMAPS (NIL T) -7 NIL NIL) (-533 1470646 1471571 1472515 "INBFF" 1474423 NIL INBFF (NIL T) -7 NIL NIL) (-532 1467041 1470490 1470594 "IMATRIX" 1470599 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL) (-531 1465755 1465878 1466192 "IMATQF" 1466898 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL) (-530 1463977 1464204 1464540 "IMATLIN" 1465512 NIL IMATLIN (NIL T T T T) -7 NIL NIL) (-529 1458609 1463901 1463959 "ILIST" 1463964 NIL ILIST (NIL T NIL) -8 NIL NIL) (-528 1456568 1458469 1458582 "IIARRAY2" 1458587 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL) (-527 1451936 1456479 1456543 "IFF" 1456548 NIL IFF (NIL NIL NIL) -8 NIL NIL) (-526 1446985 1451228 1451416 "IFARRAY" 1451793 NIL IFARRAY (NIL T NIL) -8 NIL NIL) (-525 1446192 1446889 1446962 "IFAMON" 1446967 NIL IFAMON (NIL T T NIL) -8 NIL NIL) (-524 1445775 1445840 1445895 "IEVALAB" 1446102 NIL IEVALAB (NIL T T) -9 NIL NIL) (-523 1445450 1445518 1445678 "IEVALAB-" 1445683 NIL IEVALAB- (NIL T T T) -8 NIL NIL) (-522 1445108 1445364 1445427 "IDPO" 1445432 NIL IDPO (NIL T T) -8 NIL NIL) (-521 1444385 1444997 1445072 "IDPOAMS" 1445077 NIL IDPOAMS (NIL T T) -8 NIL NIL) (-520 1443719 1444274 1444349 "IDPOAM" 1444354 NIL IDPOAM (NIL T T) -8 NIL NIL) (-519 1442803 1443053 1443107 "IDPC" 1443520 NIL IDPC (NIL T T) -9 NIL 1443669) (-518 1442299 1442695 1442768 "IDPAM" 1442773 NIL IDPAM (NIL T T) -8 NIL NIL) (-517 1441702 1442191 1442264 "IDPAG" 1442269 NIL IDPAG (NIL T T) -8 NIL NIL) (-516 1437957 1438805 1439700 "IDECOMP" 1440859 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL) (-515 1430833 1431882 1432928 "IDEAL" 1436994 NIL IDEAL (NIL T T T T) -8 NIL NIL) (-514 1428850 1429997 1430270 "ICP" 1430624 NIL ICP (NIL T NIL T) -8 NIL NIL) (-513 1428014 1428126 1428325 "ICDEN" 1428734 NIL ICDEN (NIL T T T T) -7 NIL NIL) (-512 1427113 1427494 1427641 "ICARD" 1427887 T ICARD (NIL) -8 NIL NIL) (-511 1425173 1425486 1425891 "IBPTOOLS" 1426790 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL) (-510 1420787 1424793 1424906 "IBITS" 1425092 NIL IBITS (NIL NIL) -8 NIL NIL) (-509 1417510 1418086 1418781 "IBATOOL" 1420204 NIL IBATOOL (NIL T T T) -7 NIL NIL) (-508 1415290 1415751 1416284 "IBACHIN" 1417045 NIL IBACHIN (NIL T T T) -7 NIL NIL) (-507 1413173 1415136 1415239 "IARRAY2" 1415244 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL) (-506 1409332 1413099 1413156 "IARRAY1" 1413161 NIL IARRAY1 (NIL T NIL) -8 NIL NIL) (-505 1403262 1407744 1408225 "IAN" 1408871 T IAN (NIL) -8 NIL NIL) (-504 1402773 1402830 1403003 "IALGFACT" 1403199 NIL IALGFACT (NIL T T T T) -7 NIL NIL) (-503 1402300 1402413 1402442 "HYPCAT" 1402649 T HYPCAT (NIL) -9 NIL NIL) (-502 1401838 1401955 1402141 "HYPCAT-" 1402146 NIL HYPCAT- (NIL T) -8 NIL NIL) (-501 1400842 1401119 1401309 "HTMLFORM" 1401668 T HTMLFORM (NIL) -8 NIL NIL) (-500 1397631 1398956 1398998 "HOAGG" 1399979 NIL HOAGG (NIL T) -9 NIL 1400588) (-499 1396225 1396624 1397150 "HOAGG-" 1397155 NIL HOAGG- (NIL T T) -8 NIL NIL) (-498 1390043 1395663 1395830 "HEXADEC" 1396078 T HEXADEC (NIL) -8 NIL NIL) (-497 1388791 1389013 1389276 "HEUGCD" 1389820 NIL HEUGCD (NIL T) -7 NIL NIL) (-496 1387894 1388628 1388758 "HELLFDIV" 1388763 NIL HELLFDIV (NIL T T T T) -8 NIL NIL) (-495 1381611 1383154 1384235 "HEAP" 1386845 NIL HEAP (NIL T) -8 NIL NIL) (-494 1375449 1381526 1381588 "HDP" 1381593 NIL HDP (NIL NIL T) -8 NIL NIL) (-493 1369154 1375084 1375236 "HDMP" 1375350 NIL HDMP (NIL NIL T) -8 NIL NIL) (-492 1368479 1368618 1368782 "HB" 1369010 T HB (NIL) -7 NIL NIL) (-491 1361988 1368325 1368429 "HASHTBL" 1368434 NIL HASHTBL (NIL T T NIL) -8 NIL NIL) (-490 1359735 1361610 1361792 "HACKPI" 1361826 T HACKPI (NIL) -8 NIL NIL) (-489 1341883 1345752 1349755 "GUESSUP" 1355765 NIL GUESSUP (NIL NIL) -7 NIL NIL) (-488 1312980 1320021 1326717 "GUESSP" 1335207 T GUESSP (NIL) -7 NIL NIL) (-487 1279795 1285066 1290450 "GUESS" 1307924 NIL GUESS (NIL T T T T NIL NIL) -7 NIL NIL) (-486 1253300 1259697 1265833 "GUESSINT" 1273679 T GUESSINT (NIL) -7 NIL NIL) (-485 1228671 1234121 1239688 "GUESSF" 1247785 NIL GUESSF (NIL T) -7 NIL NIL) (-484 1228393 1228430 1228525 "GUESSF1" 1228628 NIL GUESSF1 (NIL T) -7 NIL NIL) (-483 1204554 1210088 1215703 "GUESSAN" 1222798 T GUESSAN (NIL) -7 NIL NIL) (-482 1200249 1204407 1204520 "GTSET" 1204525 NIL GTSET (NIL T T T T) -8 NIL NIL) (-481 1193787 1200127 1200225 "GSTBL" 1200230 NIL GSTBL (NIL T T T NIL) -8 NIL NIL) (-480 1186017 1192820 1193084 "GSERIES" 1193579 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL) (-479 1185038 1185491 1185520 "GROUP" 1185781 T GROUP (NIL) -9 NIL 1185940) (-478 1184154 1184377 1184721 "GROUP-" 1184726 NIL GROUP- (NIL T) -8 NIL NIL) (-477 1182523 1182842 1183229 "GROEBSOL" 1183831 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL) (-476 1181462 1181724 1181776 "GRMOD" 1182305 NIL GRMOD (NIL T T) -9 NIL 1182473) (-475 1181230 1181266 1181394 "GRMOD-" 1181399 NIL GRMOD- (NIL T T T) -8 NIL NIL) (-474 1176559 1177584 1178584 "GRIMAGE" 1180250 T GRIMAGE (NIL) -8 NIL NIL) (-473 1175026 1175286 1175610 "GRDEF" 1176255 T GRDEF (NIL) -7 NIL NIL) (-472 1174470 1174586 1174727 "GRAY" 1174905 T GRAY (NIL) -7 NIL NIL) (-471 1173700 1174080 1174132 "GRALG" 1174285 NIL GRALG (NIL T T) -9 NIL 1174378) (-470 1173361 1173434 1173597 "GRALG-" 1173602 NIL GRALG- (NIL T T T) -8 NIL NIL) (-469 1170165 1172946 1173124 "GPOLSET" 1173268 NIL GPOLSET (NIL T T T T) -8 NIL NIL) (-468 1152368 1153858 1155447 "GPAFF" 1168856 NIL GPAFF (NIL T NIL T T T T T T T T T) -7 NIL NIL) (-467 1151722 1151779 1152037 "GOSPER" 1152305 NIL GOSPER (NIL T T T T T) -7 NIL NIL) (-466 1148233 1149036 1149731 "GOPT" 1151047 T GOPT (NIL) -8 NIL NIL) (-465 1143712 1144730 1145638 "GOPT0" 1147345 T GOPT0 (NIL) -8 NIL NIL) (-464 1139471 1140150 1140676 "GMODPOL" 1143411 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL) (-463 1138476 1138660 1138898 "GHENSEL" 1139283 NIL GHENSEL (NIL T T) -7 NIL NIL) (-462 1132527 1133370 1134397 "GENUPS" 1137560 NIL GENUPS (NIL T T) -7 NIL NIL) (-461 1132224 1132275 1132364 "GENUFACT" 1132470 NIL GENUFACT (NIL T) -7 NIL NIL) (-460 1131636 1131713 1131878 "GENPGCD" 1132142 NIL GENPGCD (NIL T T T T) -7 NIL NIL) (-459 1131110 1131145 1131358 "GENMFACT" 1131595 NIL GENMFACT (NIL T T T T T) -7 NIL NIL) (-458 1129678 1129933 1130240 "GENEEZ" 1130853 NIL GENEEZ (NIL T T) -7 NIL NIL) (-457 1128222 1128499 1128823 "GDRAW" 1129374 T GDRAW (NIL) -7 NIL NIL) (-456 1122089 1127833 1127995 "GDMP" 1128145 NIL GDMP (NIL NIL T T) -8 NIL NIL) (-455 1111473 1115862 1116967 "GCNAALG" 1121073 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL) (-454 1109890 1110762 1110791 "GCDDOM" 1111046 T GCDDOM (NIL) -9 NIL 1111203) (-453 1109360 1109487 1109702 "GCDDOM-" 1109707 NIL GCDDOM- (NIL T) -8 NIL NIL) (-452 1108034 1108219 1108522 "GB" 1109140 NIL GB (NIL T T T T) -7 NIL NIL) (-451 1096654 1098980 1101372 "GBINTERN" 1105725 NIL GBINTERN (NIL T T T T) -7 NIL NIL) (-450 1094491 1094783 1095204 "GBF" 1096329 NIL GBF (NIL T T T T) -7 NIL NIL) (-449 1093272 1093437 1093704 "GBEUCLID" 1094307 NIL GBEUCLID (NIL T T T T) -7 NIL NIL) (-448 1092621 1092746 1092895 "GAUSSFAC" 1093143 T GAUSSFAC (NIL) -7 NIL NIL) (-447 1090990 1091292 1091605 "GALUTIL" 1092341 NIL GALUTIL (NIL T) -7 NIL NIL) (-446 1089298 1089572 1089896 "GALPOLYU" 1090717 NIL GALPOLYU (NIL T T) -7 NIL NIL) (-445 1086663 1086953 1087360 "GALFACTU" 1088995 NIL GALFACTU (NIL T T T) -7 NIL NIL) (-444 1078469 1079968 1081576 "GALFACT" 1085095 NIL GALFACT (NIL T) -7 NIL NIL) (-443 1075857 1076514 1076543 "FVFUN" 1077699 T FVFUN (NIL) -9 NIL 1078419) (-442 1075123 1075304 1075333 "FVC" 1075624 T FVC (NIL) -9 NIL 1075807) (-441 1074765 1074920 1075001 "FUNCTION" 1075075 NIL FUNCTION (NIL NIL) -8 NIL NIL) (-440 1072435 1072986 1073475 "FT" 1074296 T FT (NIL) -8 NIL NIL) (-439 1071227 1071736 1071939 "FTEM" 1072252 T FTEM (NIL) -8 NIL NIL) (-438 1069485 1069774 1070177 "FSUPFACT" 1070919 NIL FSUPFACT (NIL T T T) -7 NIL NIL) (-437 1067882 1068171 1068503 "FST" 1069173 T FST (NIL) -8 NIL NIL) (-436 1067053 1067159 1067354 "FSRED" 1067764 NIL FSRED (NIL T T) -7 NIL NIL) (-435 1065734 1065989 1066342 "FSPRMELT" 1066769 NIL FSPRMELT (NIL T T) -7 NIL NIL) (-434 1061100 1061805 1062562 "FSPECF" 1065039 NIL FSPECF (NIL T T) -7 NIL NIL) (-433 1043358 1051947 1051988 "FS" 1055836 NIL FS (NIL T) -9 NIL 1058114) (-432 1032008 1034998 1039054 "FS-" 1039351 NIL FS- (NIL T T) -8 NIL NIL) (-431 1031522 1031576 1031753 "FSINT" 1031949 NIL FSINT (NIL T T) -7 NIL NIL) (-430 1029807 1030519 1030820 "FSERIES" 1031303 NIL FSERIES (NIL T T) -8 NIL NIL) (-429 1028821 1028937 1029168 "FSCINT" 1029687 NIL FSCINT (NIL T T) -7 NIL NIL) (-428 1025056 1027766 1027808 "FSAGG" 1028178 NIL FSAGG (NIL T) -9 NIL 1028435) (-427 1022818 1023419 1024215 "FSAGG-" 1024310 NIL FSAGG- (NIL T T) -8 NIL NIL) (-426 1021860 1022003 1022230 "FSAGG2" 1022671 NIL FSAGG2 (NIL T T T T) -7 NIL NIL) (-425 1019515 1019794 1020348 "FS2UPS" 1021578 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL) (-424 1019097 1019140 1019295 "FS2" 1019466 NIL FS2 (NIL T T T T) -7 NIL NIL) (-423 1017954 1018125 1018434 "FS2EXPXP" 1018922 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL) (-422 1017380 1017495 1017647 "FRUTIL" 1017834 NIL FRUTIL (NIL T) -7 NIL NIL) (-421 1008806 1012891 1014241 "FR" 1016062 NIL FR (NIL T) -8 NIL NIL) (-420 1003886 1006524 1006565 "FRNAALG" 1007961 NIL FRNAALG (NIL T) -9 NIL 1008567) (-419 999565 1000635 1001910 "FRNAALG-" 1002660 NIL FRNAALG- (NIL T T) -8 NIL NIL) (-418 999203 999246 999373 "FRNAAF2" 999516 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL) (-417 997566 998059 998353 "FRMOD" 999016 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL) (-416 995281 995949 996266 "FRIDEAL" 997357 NIL FRIDEAL (NIL T T T T) -8 NIL NIL) (-415 994476 994563 994852 "FRIDEAL2" 995188 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL) (-414 993719 994133 994175 "FRETRCT" 994180 NIL FRETRCT (NIL T) -9 NIL 994354) (-413 992831 993062 993413 "FRETRCT-" 993418 NIL FRETRCT- (NIL T T) -8 NIL NIL) (-412 990036 991256 991316 "FRAMALG" 992198 NIL FRAMALG (NIL T T) -9 NIL 992490) (-411 988169 988625 989255 "FRAMALG-" 989478 NIL FRAMALG- (NIL T T T) -8 NIL NIL) (-410 982072 987654 987925 "FRAC" 987930 NIL FRAC (NIL T) -8 NIL NIL) (-409 981708 981765 981872 "FRAC2" 982009 NIL FRAC2 (NIL T T) -7 NIL NIL) (-408 981344 981401 981508 "FR2" 981645 NIL FR2 (NIL T T) -7 NIL NIL) (-407 975966 978875 978904 "FPS" 980023 T FPS (NIL) -9 NIL 980577) (-406 975415 975524 975688 "FPS-" 975834 NIL FPS- (NIL T) -8 NIL NIL) (-405 972811 974508 974537 "FPC" 974762 T FPC (NIL) -9 NIL 974904) (-404 972604 972644 972741 "FPC-" 972746 NIL FPC- (NIL T) -8 NIL NIL) (-403 971483 972093 972135 "FPATMAB" 972140 NIL FPATMAB (NIL T) -9 NIL 972290) (-402 969183 969659 970085 "FPARFRAC" 971120 NIL FPARFRAC (NIL T T) -8 NIL NIL) (-401 964578 965075 965757 "FORTRAN" 968615 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL) (-400 962294 962794 963333 "FORT" 964059 T FORT (NIL) -7 NIL NIL) (-399 959970 960531 960560 "FORTFN" 961620 T FORTFN (NIL) -9 NIL 962244) (-398 959733 959783 959812 "FORTCAT" 959871 T FORTCAT (NIL) -9 NIL 959933) (-397 957793 958276 958675 "FORMULA" 959354 T FORMULA (NIL) -8 NIL NIL) (-396 957581 957611 957680 "FORMULA1" 957757 NIL FORMULA1 (NIL T) -7 NIL NIL) (-395 957104 957156 957329 "FORDER" 957523 NIL FORDER (NIL T T T T) -7 NIL NIL) (-394 956200 956364 956557 "FOP" 956931 T FOP (NIL) -7 NIL NIL) (-393 954808 955480 955654 "FNLA" 956082 NIL FNLA (NIL NIL NIL T) -8 NIL NIL) (-392 953475 953864 953893 "FNCAT" 954465 T FNCAT (NIL) -9 NIL 954758) (-391 953041 953434 953462 "FNAME" 953467 T FNAME (NIL) -8 NIL NIL) (-390 951694 952667 952696 "FMTC" 952701 T FMTC (NIL) -9 NIL 952737) (-389 948012 949219 949847 "FMONOID" 951099 NIL FMONOID (NIL T) -8 NIL NIL) (-388 947233 947756 947904 "FM" 947909 NIL FM (NIL T T) -8 NIL NIL) (-387 944657 945302 945331 "FMFUN" 946475 T FMFUN (NIL) -9 NIL 947183) (-386 943926 944106 944135 "FMC" 944425 T FMC (NIL) -9 NIL 944607) (-385 941138 941972 942027 "FMCAT" 943222 NIL FMCAT (NIL T T) -9 NIL 943716) (-384 940031 940904 941004 "FM1" 941083 NIL FM1 (NIL T T) -8 NIL NIL) (-383 937805 938221 938715 "FLOATRP" 939582 NIL FLOATRP (NIL T) -7 NIL NIL) (-382 931292 935461 936091 "FLOAT" 937195 T FLOAT (NIL) -8 NIL NIL) (-381 928730 929230 929808 "FLOATCP" 930759 NIL FLOATCP (NIL T) -7 NIL NIL) (-380 927515 928363 928405 "FLINEXP" 928410 NIL FLINEXP (NIL T) -9 NIL 928502) (-379 926669 926904 927232 "FLINEXP-" 927237 NIL FLINEXP- (NIL T T) -8 NIL NIL) (-378 925745 925889 926113 "FLASORT" 926521 NIL FLASORT (NIL T T) -7 NIL NIL) (-377 922961 923803 923856 "FLALG" 925083 NIL FLALG (NIL T T) -9 NIL 925550) (-376 916780 920474 920516 "FLAGG" 921778 NIL FLAGG (NIL T) -9 NIL 922426) (-375 915506 915845 916335 "FLAGG-" 916340 NIL FLAGG- (NIL T T) -8 NIL NIL) (-374 914548 914691 914918 "FLAGG2" 915359 NIL FLAGG2 (NIL T T T T) -7 NIL NIL) (-373 911519 912537 912597 "FINRALG" 913725 NIL FINRALG (NIL T T) -9 NIL 914230) (-372 910679 910908 911247 "FINRALG-" 911252 NIL FINRALG- (NIL T T T) -8 NIL NIL) (-371 910084 910297 910326 "FINITE" 910522 T FINITE (NIL) -9 NIL 910629) (-370 902542 904703 904744 "FINAALG" 908411 NIL FINAALG (NIL T) -9 NIL 909863) (-369 897882 898924 900068 "FINAALG-" 901447 NIL FINAALG- (NIL T T) -8 NIL NIL) (-368 897252 897637 897740 "FILE" 897812 NIL FILE (NIL T) -8 NIL NIL) (-367 895792 896129 896184 "FILECAT" 896962 NIL FILECAT (NIL T T) -9 NIL 897202) (-366 893602 895158 895187 "FIELD" 895227 T FIELD (NIL) -9 NIL 895307) (-365 892222 892607 893118 "FIELD-" 893123 NIL FIELD- (NIL T) -8 NIL NIL) (-364 890035 890857 891204 "FGROUP" 891908 NIL FGROUP (NIL T) -8 NIL NIL) (-363 889125 889289 889509 "FGLMICPK" 889867 NIL FGLMICPK (NIL T NIL) -7 NIL NIL) (-362 884927 889050 889107 "FFX" 889112 NIL FFX (NIL T NIL) -8 NIL NIL) (-361 884467 884534 884656 "FFSQFR" 884855 NIL FFSQFR (NIL T T) -7 NIL NIL) (-360 884068 884129 884264 "FFSLPE" 884400 NIL FFSLPE (NIL T T T) -7 NIL NIL) (-359 880064 880840 881636 "FFPOLY" 883304 NIL FFPOLY (NIL T) -7 NIL NIL) (-358 879568 879604 879813 "FFPOLY2" 880022 NIL FFPOLY2 (NIL T T) -7 NIL NIL) (-357 875390 879487 879550 "FFP" 879555 NIL FFP (NIL T NIL) -8 NIL NIL) (-356 870758 875301 875365 "FF" 875370 NIL FF (NIL NIL NIL) -8 NIL NIL) (-355 865854 870101 870291 "FFNBX" 870612 NIL FFNBX (NIL T NIL) -8 NIL NIL) (-354 860764 864989 865247 "FFNBP" 865708 NIL FFNBP (NIL T NIL) -8 NIL NIL) (-353 855367 860048 860259 "FFNB" 860597 NIL FFNB (NIL NIL NIL) -8 NIL NIL) (-352 854199 854397 854712 "FFINTBAS" 855164 NIL FFINTBAS (NIL T T T) -7 NIL NIL) (-351 850375 852610 852639 "FFIELDC" 853259 T FFIELDC (NIL) -9 NIL 853635) (-350 849038 849408 849905 "FFIELDC-" 849910 NIL FFIELDC- (NIL T) -8 NIL NIL) (-349 848608 848653 848777 "FFHOM" 848980 NIL FFHOM (NIL T T T) -7 NIL NIL) (-348 846306 846790 847307 "FFF" 848123 NIL FFF (NIL T) -7 NIL NIL) (-347 842002 842767 843611 "FFFG" 845530 NIL FFFG (NIL T T) -7 NIL NIL) (-346 840728 840937 841259 "FFFGF" 841780 NIL FFFGF (NIL T T T) -7 NIL NIL) (-345 839479 839676 839924 "FFFACTSE" 840530 NIL FFFACTSE (NIL T T) -7 NIL NIL) (-344 835067 839221 839322 "FFCGX" 839422 NIL FFCGX (NIL T NIL) -8 NIL NIL) (-343 830669 834799 834906 "FFCGP" 835010 NIL FFCGP (NIL T NIL) -8 NIL NIL) (-342 825822 830396 830504 "FFCG" 830605 NIL FFCG (NIL NIL NIL) -8 NIL NIL) (-341 807611 816733 816820 "FFCAT" 821985 NIL FFCAT (NIL T T T) -9 NIL 823470) (-340 802809 803856 805170 "FFCAT-" 806400 NIL FFCAT- (NIL T T T T) -8 NIL NIL) (-339 802220 802263 802498 "FFCAT2" 802760 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-338 791390 795196 796414 "FEXPR" 801074 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL) (-337 790392 790827 790869 "FEVALAB" 790953 NIL FEVALAB (NIL T) -9 NIL 791211) (-336 789551 789761 790099 "FEVALAB-" 790104 NIL FEVALAB- (NIL T T) -8 NIL NIL) (-335 788144 788934 789137 "FDIV" 789450 NIL FDIV (NIL T T T T) -8 NIL NIL) (-334 785209 785924 786040 "FDIVCAT" 787608 NIL FDIVCAT (NIL T T T T) -9 NIL 788045) (-333 784971 784998 785168 "FDIVCAT-" 785173 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL) (-332 784191 784278 784555 "FDIV2" 784878 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL) (-331 782877 783136 783425 "FCPAK1" 783922 T FCPAK1 (NIL) -7 NIL NIL) (-330 782005 782377 782518 "FCOMP" 782768 NIL FCOMP (NIL T) -8 NIL NIL) (-329 765633 769048 772611 "FC" 778462 T FC (NIL) -8 NIL NIL) (-328 758177 762220 762261 "FAXF" 764063 NIL FAXF (NIL T) -9 NIL 764754) (-327 755457 756111 756936 "FAXF-" 757401 NIL FAXF- (NIL T T) -8 NIL NIL) (-326 750563 754833 755009 "FARRAY" 755314 NIL FARRAY (NIL T) -8 NIL NIL) (-325 745881 747957 748011 "FAMR" 749034 NIL FAMR (NIL T T) -9 NIL 749491) (-324 744771 745073 745508 "FAMR-" 745513 NIL FAMR- (NIL T T T) -8 NIL NIL) (-323 744359 744402 744553 "FAMR2" 744722 NIL FAMR2 (NIL T T T T T) -7 NIL NIL) (-322 743555 744281 744334 "FAMONOID" 744339 NIL FAMONOID (NIL T) -8 NIL NIL) (-321 741385 742069 742123 "FAMONC" 743064 NIL FAMONC (NIL T T) -9 NIL 743449) (-320 740079 741141 741277 "FAGROUP" 741282 NIL FAGROUP (NIL T) -8 NIL NIL) (-319 737874 738193 738596 "FACUTIL" 739760 NIL FACUTIL (NIL T T T T) -7 NIL NIL) (-318 737290 737399 737545 "FACTRN" 737760 NIL FACTRN (NIL T) -7 NIL NIL) (-317 736389 736574 736796 "FACTFUNC" 737100 NIL FACTFUNC (NIL T) -7 NIL NIL) (-316 735805 735914 736060 "FACTEXT" 736275 NIL FACTEXT (NIL T) -7 NIL NIL) (-315 728125 735056 735268 "EXPUPXS" 735661 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL) (-314 725608 726148 726734 "EXPRTUBE" 727559 T EXPRTUBE (NIL) -7 NIL NIL) (-313 724779 724874 725094 "EXPRSOL" 725508 NIL EXPRSOL (NIL T T T T) -7 NIL NIL) (-312 720973 721565 722302 "EXPRODE" 724118 NIL EXPRODE (NIL T T) -7 NIL NIL) (-311 705994 719634 720059 "EXPR" 720580 NIL EXPR (NIL T) -8 NIL NIL) (-310 700401 700988 701801 "EXPR2UPS" 705292 NIL EXPR2UPS (NIL T T) -7 NIL NIL) (-309 700037 700094 700201 "EXPR2" 700338 NIL EXPR2 (NIL T T) -7 NIL NIL) (-308 691377 699169 699466 "EXPEXPAN" 699874 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL) (-307 691089 691140 691217 "EXP3D" 691320 T EXP3D (NIL) -7 NIL NIL) (-306 690916 691046 691075 "EXIT" 691080 T EXIT (NIL) -8 NIL NIL) (-305 690543 690605 690718 "EVALCYC" 690848 NIL EVALCYC (NIL T) -7 NIL NIL) (-304 690085 690201 690243 "EVALAB" 690413 NIL EVALAB (NIL T) -9 NIL 690517) (-303 689566 689688 689909 "EVALAB-" 689914 NIL EVALAB- (NIL T T) -8 NIL NIL) (-302 687024 688336 688365 "EUCDOM" 688920 T EUCDOM (NIL) -9 NIL 689270) (-301 685429 685871 686461 "EUCDOM-" 686466 NIL EUCDOM- (NIL T) -8 NIL NIL) (-300 672969 675727 678477 "ESTOOLS" 682699 T ESTOOLS (NIL) -7 NIL NIL) (-299 672601 672658 672767 "ESTOOLS2" 672906 NIL ESTOOLS2 (NIL T T) -7 NIL NIL) (-298 672352 672394 672474 "ESTOOLS1" 672553 NIL ESTOOLS1 (NIL T) -7 NIL NIL) (-297 666278 668006 668035 "ES" 670803 T ES (NIL) -9 NIL 672210) (-296 661226 662512 664329 "ES-" 664493 NIL ES- (NIL T) -8 NIL NIL) (-295 657601 658361 659141 "ESCONT" 660466 T ESCONT (NIL) -7 NIL NIL) (-294 657346 657378 657460 "ESCONT1" 657563 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL) (-293 657021 657071 657171 "ES2" 657290 NIL ES2 (NIL T T) -7 NIL NIL) (-292 656651 656709 656818 "ES1" 656957 NIL ES1 (NIL T T) -7 NIL NIL) (-291 655867 655996 656172 "ERROR" 656495 T ERROR (NIL) -7 NIL NIL) (-290 649382 655726 655817 "EQTBL" 655822 NIL EQTBL (NIL T T) -8 NIL NIL) (-289 641841 644724 646159 "EQ" 647980 NIL -3189 (NIL T) -8 NIL NIL) (-288 641473 641530 641639 "EQ2" 641778 NIL EQ2 (NIL T T) -7 NIL NIL) (-287 636765 637811 638904 "EP" 640412 NIL EP (NIL T) -7 NIL NIL) (-286 635919 636483 636512 "ENTIRER" 636517 T ENTIRER (NIL) -9 NIL 636563) (-285 632375 633874 634244 "EMR" 635718 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL) (-284 631521 631704 631759 "ELTAGG" 632139 NIL ELTAGG (NIL T T) -9 NIL 632349) (-283 631240 631302 631443 "ELTAGG-" 631448 NIL ELTAGG- (NIL T T T) -8 NIL NIL) (-282 631028 631057 631112 "ELTAB" 631196 NIL ELTAB (NIL T T) -9 NIL NIL) (-281 630154 630300 630499 "ELFUTS" 630879 NIL ELFUTS (NIL T T) -7 NIL NIL) (-280 629895 629951 629980 "ELEMFUN" 630085 T ELEMFUN (NIL) -9 NIL NIL) (-279 629765 629786 629854 "ELEMFUN-" 629859 NIL ELEMFUN- (NIL T) -8 NIL NIL) (-278 624695 627898 627940 "ELAGG" 628880 NIL ELAGG (NIL T) -9 NIL 629341) (-277 622980 623414 624077 "ELAGG-" 624082 NIL ELAGG- (NIL T T) -8 NIL NIL) (-276 615850 617649 618475 "EFUPXS" 622257 NIL EFUPXS (NIL T T T T) -8 NIL NIL) (-275 609302 611103 611912 "EFULS" 615127 NIL EFULS (NIL T T T) -8 NIL NIL) (-274 606724 607082 607561 "EFSTRUC" 608934 NIL EFSTRUC (NIL T T) -7 NIL NIL) (-273 595736 597301 598862 "EF" 605239 NIL EF (NIL T T) -7 NIL NIL) (-272 594837 595221 595370 "EAB" 595607 T EAB (NIL) -8 NIL NIL) (-271 594046 594796 594824 "E04UCFA" 594829 T E04UCFA (NIL) -8 NIL NIL) (-270 593255 594005 594033 "E04NAFA" 594038 T E04NAFA (NIL) -8 NIL NIL) (-269 592464 593214 593242 "E04MBFA" 593247 T E04MBFA (NIL) -8 NIL NIL) (-268 591673 592423 592451 "E04JAFA" 592456 T E04JAFA (NIL) -8 NIL NIL) (-267 590884 591632 591660 "E04GCFA" 591665 T E04GCFA (NIL) -8 NIL NIL) (-266 590095 590843 590871 "E04FDFA" 590876 T E04FDFA (NIL) -8 NIL NIL) (-265 589304 590054 590082 "E04DGFA" 590087 T E04DGFA (NIL) -8 NIL NIL) (-264 583483 584829 586193 "E04AGNT" 587960 T E04AGNT (NIL) -7 NIL NIL) (-263 582206 582686 582727 "DVARCAT" 583202 NIL DVARCAT (NIL T) -9 NIL 583401) (-262 581410 581622 581936 "DVARCAT-" 581941 NIL DVARCAT- (NIL T T) -8 NIL NIL) (-261 574379 574861 575610 "DTP" 580941 NIL DTP (NIL T NIL T T T T T T T T T) -7 NIL NIL) (-260 571828 573801 573958 "DSTREE" 574255 NIL DSTREE (NIL T) -8 NIL NIL) (-259 569297 571142 571184 "DSTRCAT" 571403 NIL DSTRCAT (NIL T) -9 NIL 571537) (-258 562151 569096 569225 "DSMP" 569230 NIL DSMP (NIL T T T) -8 NIL NIL) (-257 556961 558096 559164 "DROPT" 561103 T DROPT (NIL) -8 NIL NIL) (-256 556626 556685 556783 "DROPT1" 556896 NIL DROPT1 (NIL T) -7 NIL NIL) (-255 551741 552867 554004 "DROPT0" 555509 T DROPT0 (NIL) -7 NIL NIL) (-254 550086 550411 550797 "DRAWPT" 551375 T DRAWPT (NIL) -7 NIL NIL) (-253 544673 545596 546675 "DRAW" 549060 NIL DRAW (NIL T) -7 NIL NIL) (-252 544306 544359 544477 "DRAWHACK" 544614 NIL DRAWHACK (NIL T) -7 NIL NIL) (-251 543037 543306 543597 "DRAWCX" 544035 T DRAWCX (NIL) -7 NIL NIL) (-250 542553 542621 542772 "DRAWCURV" 542963 NIL DRAWCURV (NIL T T) -7 NIL NIL) (-249 533025 534983 537098 "DRAWCFUN" 540458 T DRAWCFUN (NIL) -7 NIL NIL) (-248 529878 531754 531796 "DQAGG" 532425 NIL DQAGG (NIL T) -9 NIL 532698) (-247 518306 525047 525131 "DPOLCAT" 526983 NIL DPOLCAT (NIL T T T T) -9 NIL 527527) (-246 513145 514491 516449 "DPOLCAT-" 516454 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL) (-245 505884 513006 513104 "DPMO" 513109 NIL DPMO (NIL NIL T T) -8 NIL NIL) (-244 498526 505664 505831 "DPMM" 505836 NIL DPMM (NIL NIL T T T) -8 NIL NIL) (-243 492231 498161 498313 "DMP" 498427 NIL DMP (NIL NIL T) -8 NIL NIL) (-242 491831 491887 492031 "DLP" 492169 NIL DLP (NIL T) -7 NIL NIL) (-241 485481 490932 491159 "DLIST" 491636 NIL DLIST (NIL T) -8 NIL NIL) (-240 482366 484369 484411 "DLAGG" 484961 NIL DLAGG (NIL T) -9 NIL 485190) (-239 481023 481715 481744 "DIVRING" 481894 T DIVRING (NIL) -9 NIL 482002) (-238 480011 480264 480657 "DIVRING-" 480662 NIL DIVRING- (NIL T) -8 NIL NIL) (-237 478439 479604 479740 "DIV" 479908 NIL DIV (NIL T) -8 NIL NIL) (-236 475933 477001 477043 "DIVCAT" 477877 NIL DIVCAT (NIL T) -9 NIL 478208) (-235 474035 474392 474798 "DISPLAY" 475547 T DISPLAY (NIL) -7 NIL NIL) (-234 471528 472741 473123 "DIRRING" 473686 NIL DIRRING (NIL T) -8 NIL NIL) (-233 465388 471442 471505 "DIRPROD" 471510 NIL DIRPROD (NIL NIL T) -8 NIL NIL) (-232 464236 464439 464704 "DIRPROD2" 465181 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL) (-231 453800 459829 459883 "DIRPCAT" 460141 NIL DIRPCAT (NIL NIL T) -9 NIL 460985) (-230 451126 451768 452649 "DIRPCAT-" 452986 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL) (-229 450413 450573 450759 "DIOSP" 450960 T DIOSP (NIL) -7 NIL NIL) (-228 447156 449360 449402 "DIOPS" 449836 NIL DIOPS (NIL T) -9 NIL 450064) (-227 446705 446819 447010 "DIOPS-" 447015 NIL DIOPS- (NIL T T) -8 NIL NIL) (-226 445572 446210 446239 "DIFRING" 446426 T DIFRING (NIL) -9 NIL 446536) (-225 445218 445295 445447 "DIFRING-" 445452 NIL DIFRING- (NIL T) -8 NIL NIL) (-224 443000 444282 444324 "DIFEXT" 444687 NIL DIFEXT (NIL T) -9 NIL 444979) (-223 441285 441713 442379 "DIFEXT-" 442384 NIL DIFEXT- (NIL T T) -8 NIL NIL) (-222 438647 440851 440893 "DIAGG" 440898 NIL DIAGG (NIL T) -9 NIL 440918) (-221 438031 438188 438440 "DIAGG-" 438445 NIL DIAGG- (NIL T T) -8 NIL NIL) (-220 433401 436990 437267 "DHMATRIX" 437800 NIL DHMATRIX (NIL T) -8 NIL NIL) (-219 428612 433215 433289 "DFVEC" 433347 T DFVEC (NIL) -8 NIL NIL) (-218 422213 423563 425000 "DFSFUN" 427195 T DFSFUN (NIL) -7 NIL NIL) (-217 418474 421984 422078 "DFMAT" 422139 T DFMAT (NIL) -8 NIL NIL) (-216 412751 416928 417361 "DFLOAT" 418061 T DFLOAT (NIL) -8 NIL NIL) (-215 410979 411260 411656 "DFINTTLS" 412459 NIL DFINTTLS (NIL T T) -7 NIL NIL) (-214 407998 409000 409400 "DERHAM" 410645 NIL DERHAM (NIL T NIL) -8 NIL NIL) (-213 399611 401528 402963 "DEQUEUE" 406596 NIL DEQUEUE (NIL T) -8 NIL NIL) (-212 398826 398959 399155 "DEGRED" 399473 NIL DEGRED (NIL T T) -7 NIL NIL) (-211 395221 395966 396819 "DEFINTRF" 398054 NIL DEFINTRF (NIL T) -7 NIL NIL) (-210 392748 393217 393816 "DEFINTEF" 394740 NIL DEFINTEF (NIL T T) -7 NIL NIL) (-209 386566 392186 392353 "DECIMAL" 392601 T DECIMAL (NIL) -8 NIL NIL) (-208 384078 384536 385042 "DDFACT" 386110 NIL DDFACT (NIL T T) -7 NIL NIL) (-207 383674 383717 383868 "DBLRESP" 384029 NIL DBLRESP (NIL T T T T) -7 NIL NIL) (-206 381384 381718 382087 "DBASE" 383432 NIL DBASE (NIL T) -8 NIL NIL) (-205 380517 381343 381371 "D03FAFA" 381376 T D03FAFA (NIL) -8 NIL NIL) (-204 379651 380476 380504 "D03EEFA" 380509 T D03EEFA (NIL) -8 NIL NIL) (-203 377601 378067 378556 "D03AGNT" 379182 T D03AGNT (NIL) -7 NIL NIL) (-202 376917 377560 377588 "D02EJFA" 377593 T D02EJFA (NIL) -8 NIL NIL) (-201 376233 376876 376904 "D02CJFA" 376909 T D02CJFA (NIL) -8 NIL NIL) (-200 375549 376192 376220 "D02BHFA" 376225 T D02BHFA (NIL) -8 NIL NIL) (-199 374865 375508 375536 "D02BBFA" 375541 T D02BBFA (NIL) -8 NIL NIL) (-198 368064 369651 371257 "D02AGNT" 373279 T D02AGNT (NIL) -7 NIL NIL) (-197 365833 366355 366901 "D01WGTS" 367538 T D01WGTS (NIL) -7 NIL NIL) (-196 364928 365792 365820 "D01TRNS" 365825 T D01TRNS (NIL) -8 NIL NIL) (-195 364023 364887 364915 "D01GBFA" 364920 T D01GBFA (NIL) -8 NIL NIL) (-194 363118 363982 364010 "D01FCFA" 364015 T D01FCFA (NIL) -8 NIL NIL) (-193 362213 363077 363105 "D01ASFA" 363110 T D01ASFA (NIL) -8 NIL NIL) (-192 361308 362172 362200 "D01AQFA" 362205 T D01AQFA (NIL) -8 NIL NIL) (-191 360403 361267 361295 "D01APFA" 361300 T D01APFA (NIL) -8 NIL NIL) (-190 359498 360362 360390 "D01ANFA" 360395 T D01ANFA (NIL) -8 NIL NIL) (-189 358593 359457 359485 "D01AMFA" 359490 T D01AMFA (NIL) -8 NIL NIL) (-188 357688 358552 358580 "D01ALFA" 358585 T D01ALFA (NIL) -8 NIL NIL) (-187 356783 357647 357675 "D01AKFA" 357680 T D01AKFA (NIL) -8 NIL NIL) (-186 355878 356742 356770 "D01AJFA" 356775 T D01AJFA (NIL) -8 NIL NIL) (-185 349175 350726 352287 "D01AGNT" 354337 T D01AGNT (NIL) -7 NIL NIL) (-184 348512 348640 348792 "CYCLOTOM" 349043 T CYCLOTOM (NIL) -7 NIL NIL) (-183 345247 345960 346687 "CYCLES" 347805 T CYCLES (NIL) -7 NIL NIL) (-182 344559 344693 344864 "CVMP" 345108 NIL CVMP (NIL T) -7 NIL NIL) (-181 342331 342588 342964 "CTRIGMNP" 344287 NIL CTRIGMNP (NIL T T) -7 NIL NIL) (-180 341705 341804 341957 "CSTTOOLS" 342228 NIL CSTTOOLS (NIL T T) -7 NIL NIL) (-179 337504 338161 338919 "CRFP" 341017 NIL CRFP (NIL T T) -7 NIL NIL) (-178 336551 336736 336964 "CRAPACK" 337308 NIL CRAPACK (NIL T) -7 NIL NIL) (-177 335937 336038 336241 "CPMATCH" 336428 NIL CPMATCH (NIL T T T) -7 NIL NIL) (-176 335662 335690 335796 "CPIMA" 335903 NIL CPIMA (NIL T T T) -7 NIL NIL) (-175 332010 332682 333401 "COORDSYS" 334997 NIL COORDSYS (NIL T) -7 NIL NIL) (-174 327871 330013 330505 "CONTFRAC" 331550 NIL CONTFRAC (NIL T) -8 NIL NIL) (-173 327019 327583 327612 "COMRING" 327617 T COMRING (NIL) -9 NIL 327669) (-172 326100 326377 326561 "COMPPROP" 326855 T COMPPROP (NIL) -8 NIL NIL) (-171 325761 325796 325924 "COMPLPAT" 326059 NIL COMPLPAT (NIL T T T) -7 NIL NIL) (-170 315732 325572 325680 "COMPLEX" 325685 NIL COMPLEX (NIL T) -8 NIL NIL) (-169 315368 315425 315532 "COMPLEX2" 315669 NIL COMPLEX2 (NIL T T) -7 NIL NIL) (-168 315086 315121 315219 "COMPFACT" 315327 NIL COMPFACT (NIL T T) -7 NIL NIL) (-167 299338 309638 309679 "COMPCAT" 310683 NIL COMPCAT (NIL T) -9 NIL 312064) (-166 288854 291777 295404 "COMPCAT-" 295760 NIL COMPCAT- (NIL T T) -8 NIL NIL) (-165 288583 288611 288714 "COMMUPC" 288820 NIL COMMUPC (NIL T T T) -7 NIL NIL) (-164 288378 288411 288470 "COMMONOP" 288544 T COMMONOP (NIL) -7 NIL NIL) (-163 287961 288129 288216 "COMM" 288311 T COMM (NIL) -8 NIL NIL) (-162 287209 287403 287432 "COMBOPC" 287770 T COMBOPC (NIL) -9 NIL 287945) (-161 286105 286315 286557 "COMBINAT" 286999 NIL COMBINAT (NIL T) -7 NIL NIL) (-160 282303 282876 283516 "COMBF" 285527 NIL COMBF (NIL T T) -7 NIL NIL) (-159 281089 281419 281654 "COLOR" 282088 T COLOR (NIL) -8 NIL NIL) (-158 280729 280776 280901 "CMPLXRT" 281036 NIL CMPLXRT (NIL T T) -7 NIL NIL) (-157 276231 277259 278339 "CLIP" 279669 T CLIP (NIL) -7 NIL NIL) (-156 274567 275337 275576 "CLIF" 276058 NIL CLIF (NIL NIL T NIL) -8 NIL NIL) (-155 270832 272750 272792 "CLAGG" 273721 NIL CLAGG (NIL T) -9 NIL 274254) (-154 269254 269711 270294 "CLAGG-" 270299 NIL CLAGG- (NIL T T) -8 NIL NIL) (-153 268798 268883 269023 "CINTSLPE" 269163 NIL CINTSLPE (NIL T T) -7 NIL NIL) (-152 266299 266770 267318 "CHVAR" 268326 NIL CHVAR (NIL T T T) -7 NIL NIL) (-151 265517 266081 266110 "CHARZ" 266115 T CHARZ (NIL) -9 NIL 266130) (-150 265271 265311 265389 "CHARPOL" 265471 NIL CHARPOL (NIL T) -7 NIL NIL) (-149 264373 264970 264999 "CHARNZ" 265046 T CHARNZ (NIL) -9 NIL 265102) (-148 262396 263063 263398 "CHAR" 264058 T CHAR (NIL) -8 NIL NIL) (-147 262121 262182 262211 "CFCAT" 262322 T CFCAT (NIL) -9 NIL NIL) (-146 256254 261778 261896 "CDFVEC" 262023 T CDFVEC (NIL) -8 NIL NIL) (-145 251969 256011 256112 "CDFMAT" 256173 T CDFMAT (NIL) -8 NIL NIL) (-144 251214 251325 251507 "CDEN" 251853 NIL CDEN (NIL T T T) -7 NIL NIL) (-143 247206 250367 250647 "CCLASS" 250954 T CCLASS (NIL) -8 NIL NIL) (-142 242259 243235 243988 "CARTEN" 246509 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL) (-141 241367 241515 241736 "CARTEN2" 242106 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL) (-140 239662 240517 240774 "CARD" 241130 T CARD (NIL) -8 NIL NIL) (-139 239033 239361 239390 "CACHSET" 239522 T CACHSET (NIL) -9 NIL 239599) (-138 238528 238824 238853 "CABMON" 238903 T CABMON (NIL) -9 NIL 238959) (-137 236091 238220 238327 "BTREE" 238454 NIL BTREE (NIL T) -8 NIL NIL) (-136 233595 235739 235861 "BTOURN" 236001 NIL BTOURN (NIL T) -8 NIL NIL) (-135 231052 233099 233141 "BTCAT" 233209 NIL BTCAT (NIL T) -9 NIL 233286) (-134 230719 230799 230948 "BTCAT-" 230953 NIL BTCAT- (NIL T T) -8 NIL NIL) (-133 225909 229779 229808 "BTAGG" 230064 T BTAGG (NIL) -9 NIL 230243) (-132 225332 225476 225706 "BTAGG-" 225711 NIL BTAGG- (NIL T) -8 NIL NIL) (-131 222382 224610 224825 "BSTREE" 225149 NIL BSTREE (NIL T) -8 NIL NIL) (-130 220785 221332 221632 "BSD" 222102 T BSD (NIL) -8 NIL NIL) (-129 219923 220049 220233 "BRILL" 220641 NIL BRILL (NIL T) -7 NIL NIL) (-128 216663 218684 218726 "BRAGG" 219375 NIL BRAGG (NIL T) -9 NIL 219632) (-127 215192 215598 216153 "BRAGG-" 216158 NIL BRAGG- (NIL T T) -8 NIL NIL) (-126 208391 214538 214722 "BPADICRT" 215040 NIL BPADICRT (NIL NIL) -8 NIL NIL) (-125 206695 208328 208373 "BPADIC" 208378 NIL BPADIC (NIL NIL) -8 NIL NIL) (-124 206393 206423 206537 "BOUNDZRO" 206659 NIL BOUNDZRO (NIL T T) -7 NIL NIL) (-123 201908 202999 203866 "BOP" 205546 T BOP (NIL) -8 NIL NIL) (-122 199531 199975 200494 "BOP1" 201422 NIL BOP1 (NIL T) -7 NIL NIL) (-121 197884 198574 198868 "BOOLEAN" 199257 T BOOLEAN (NIL) -8 NIL NIL) (-120 197245 197623 197678 "BMODULE" 197683 NIL BMODULE (NIL T T) -9 NIL 197748) (-119 193588 194258 195044 "BLUPPACK" 196577 NIL BLUPPACK (NIL T NIL T T T) -7 NIL NIL) (-118 192980 193465 193534 "BLQT" 193539 T BLQT (NIL) -8 NIL NIL) (-117 191409 191884 191913 "BLMETCT" 192558 T BLMETCT (NIL) -9 NIL 192930) (-116 190808 191290 191357 "BLHN" 191362 T BLHN (NIL) -8 NIL NIL) (-115 189626 189885 190168 "BLAS1" 190545 T BLAS1 (NIL) -7 NIL NIL) (-114 185436 189424 189497 "BITS" 189573 T BITS (NIL) -8 NIL NIL) (-113 184507 184968 185120 "BINFILE" 185304 T BINFILE (NIL) -8 NIL NIL) (-112 178329 183948 184114 "BINARY" 184361 T BINARY (NIL) -8 NIL NIL) (-111 176196 177618 177660 "BGAGG" 177920 NIL BGAGG (NIL T) -9 NIL 178057) (-110 176027 176059 176150 "BGAGG-" 176155 NIL BGAGG- (NIL T T) -8 NIL NIL) (-109 175125 175411 175616 "BFUNCT" 175842 T BFUNCT (NIL) -8 NIL NIL) (-108 173817 173995 174282 "BEZOUT" 174950 NIL BEZOUT (NIL T T T T T) -7 NIL NIL) (-107 172780 173002 173261 "BEZIER" 173591 NIL BEZIER (NIL T) -7 NIL NIL) (-106 169303 171632 171962 "BBTREE" 172483 NIL BBTREE (NIL T) -8 NIL NIL) (-105 169036 169089 169118 "BASTYPE" 169237 T BASTYPE (NIL) -9 NIL NIL) (-104 168889 168917 168990 "BASTYPE-" 168995 NIL BASTYPE- (NIL T) -8 NIL NIL) (-103 168323 168399 168551 "BALFACT" 168800 NIL BALFACT (NIL T T) -7 NIL NIL) (-102 167687 167810 167958 "AXSERV" 168195 T AXSERV (NIL) -7 NIL NIL) (-101 166500 167097 167285 "AUTOMOR" 167532 NIL AUTOMOR (NIL T) -8 NIL NIL) (-100 166212 166217 166246 "ATTREG" 166251 T ATTREG (NIL) -9 NIL NIL) (-99 164491 164909 165261 "ATTRBUT" 165878 T ATTRBUT (NIL) -8 NIL NIL) (-98 164026 164139 164166 "ATRIG" 164367 T ATRIG (NIL) -9 NIL NIL) (-97 163835 163876 163963 "ATRIG-" 163968 NIL ATRIG- (NIL T) -8 NIL NIL) (-96 157395 158964 160075 "ASTACK" 162755 NIL ASTACK (NIL T) -8 NIL NIL) (-95 155902 156199 156563 "ASSOCEQ" 157078 NIL ASSOCEQ (NIL T T) -7 NIL NIL) (-94 154934 155561 155685 "ASP9" 155809 NIL ASP9 (NIL NIL) -8 NIL NIL) (-93 154698 154882 154921 "ASP8" 154926 NIL ASP8 (NIL NIL) -8 NIL NIL) (-92 153568 154303 154445 "ASP80" 154587 NIL ASP80 (NIL NIL) -8 NIL NIL) (-91 152467 153203 153335 "ASP7" 153467 NIL ASP7 (NIL NIL) -8 NIL NIL) (-90 151423 152144 152262 "ASP78" 152380 NIL ASP78 (NIL NIL) -8 NIL NIL) (-89 150394 151103 151220 "ASP77" 151337 NIL ASP77 (NIL NIL) -8 NIL NIL) (-88 149309 150032 150163 "ASP74" 150294 NIL ASP74 (NIL NIL) -8 NIL NIL) (-87 148210 148944 149076 "ASP73" 149208 NIL ASP73 (NIL NIL) -8 NIL NIL) (-86 147165 147887 148005 "ASP6" 148123 NIL ASP6 (NIL NIL) -8 NIL NIL) (-85 146114 146842 146960 "ASP55" 147078 NIL ASP55 (NIL NIL) -8 NIL NIL) (-84 145064 145788 145907 "ASP50" 146026 NIL ASP50 (NIL NIL) -8 NIL NIL) (-83 144152 144765 144875 "ASP4" 144985 NIL ASP4 (NIL NIL) -8 NIL NIL) (-82 143240 143853 143963 "ASP49" 144073 NIL ASP49 (NIL NIL) -8 NIL NIL) (-81 142025 142779 142947 "ASP42" 143129 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL) (-80 140803 141558 141728 "ASP41" 141912 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL) (-79 139755 140480 140598 "ASP35" 140716 NIL ASP35 (NIL NIL) -8 NIL NIL) (-78 139520 139703 139742 "ASP34" 139747 NIL ASP34 (NIL NIL) -8 NIL NIL) (-77 139257 139324 139400 "ASP33" 139475 NIL ASP33 (NIL NIL) -8 NIL NIL) (-76 138153 138892 139024 "ASP31" 139156 NIL ASP31 (NIL NIL) -8 NIL NIL) (-75 137918 138101 138140 "ASP30" 138145 NIL ASP30 (NIL NIL) -8 NIL NIL) (-74 137653 137722 137798 "ASP29" 137873 NIL ASP29 (NIL NIL) -8 NIL NIL) (-73 137418 137601 137640 "ASP28" 137645 NIL ASP28 (NIL NIL) -8 NIL NIL) (-72 137183 137366 137405 "ASP27" 137410 NIL ASP27 (NIL NIL) -8 NIL NIL) (-71 136267 136881 136992 "ASP24" 137103 NIL ASP24 (NIL NIL) -8 NIL NIL) (-70 135184 135908 136038 "ASP20" 136168 NIL ASP20 (NIL NIL) -8 NIL NIL) (-69 134272 134885 134995 "ASP1" 135105 NIL ASP1 (NIL NIL) -8 NIL NIL) (-68 133216 133946 134065 "ASP19" 134184 NIL ASP19 (NIL NIL) -8 NIL NIL) (-67 132953 133020 133096 "ASP12" 133171 NIL ASP12 (NIL NIL) -8 NIL NIL) (-66 131806 132552 132696 "ASP10" 132840 NIL ASP10 (NIL NIL) -8 NIL NIL) (-65 129711 131650 131741 "ARRAY2" 131746 NIL ARRAY2 (NIL T) -8 NIL NIL) (-64 125533 129359 129473 "ARRAY1" 129628 NIL ARRAY1 (NIL T) -8 NIL NIL) (-63 124565 124738 124959 "ARRAY12" 125356 NIL ARRAY12 (NIL T T) -7 NIL NIL) (-62 118964 120829 120905 "ARR2CAT" 123535 NIL ARR2CAT (NIL T T T) -9 NIL 124293) (-61 116398 117142 118096 "ARR2CAT-" 118101 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL) (-60 115146 115298 115604 "APPRULE" 116234 NIL APPRULE (NIL T T T) -7 NIL NIL) (-59 114797 114845 114964 "APPLYORE" 115092 NIL APPLYORE (NIL T T T) -7 NIL NIL) (-58 114321 114409 114519 "API" 114705 T API (NIL) -7 NIL NIL) (-57 113295 113586 113781 "ANY" 114144 T ANY (NIL) -8 NIL NIL) (-56 112573 112696 112853 "ANY1" 113169 NIL ANY1 (NIL T) -7 NIL NIL) (-55 110092 111010 111337 "ANTISYM" 112297 NIL ANTISYM (NIL T NIL) -8 NIL NIL) (-54 109919 110051 110078 "ANON" 110083 T ANON (NIL) -8 NIL NIL) (-53 103986 108458 108912 "AN" 109483 T AN (NIL) -8 NIL NIL) (-52 100281 101679 101731 "AMR" 102479 NIL AMR (NIL T T) -9 NIL 103073) (-51 99393 99614 99977 "AMR-" 99982 NIL AMR- (NIL T T T) -8 NIL NIL) (-50 83955 99310 99371 "ALIST" 99376 NIL ALIST (NIL T T) -8 NIL NIL) (-49 80792 83549 83718 "ALGSC" 83873 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL) (-48 77350 77904 78510 "ALGPKG" 80233 NIL ALGPKG (NIL T T) -7 NIL NIL) (-47 76627 76728 76912 "ALGMFACT" 77236 NIL ALGMFACT (NIL T T T) -7 NIL NIL) (-46 72375 73059 73710 "ALGMANIP" 76154 NIL ALGMANIP (NIL T T) -7 NIL NIL) (-45 63689 72001 72151 "ALGFF" 72308 NIL ALGFF (NIL T T T NIL) -8 NIL NIL) (-44 62885 63016 63195 "ALGFACT" 63547 NIL ALGFACT (NIL T) -7 NIL NIL) (-43 61870 62480 62519 "ALGEBRA" 62579 NIL ALGEBRA (NIL T) -9 NIL 62638) (-42 61588 61647 61779 "ALGEBRA-" 61784 NIL ALGEBRA- (NIL T T) -8 NIL NIL) (-41 43395 59120 59173 "ALAGG" 59309 NIL ALAGG (NIL T T) -9 NIL 59470) (-40 42930 43043 43070 "AHYP" 43271 T AHYP (NIL) -9 NIL NIL) (-39 41861 42109 42136 "AGG" 42635 T AGG (NIL) -9 NIL 42913) (-38 41295 41457 41671 "AGG-" 41676 NIL AGG- (NIL T) -8 NIL NIL) (-37 38844 39425 39464 "AFSPCAT" 40736 NIL AFSPCAT (NIL T) -9 NIL 41231) (-36 36523 36945 37362 "AF" 38487 NIL AF (NIL T T) -7 NIL NIL) (-35 35863 36452 36506 "AFFSP" 36511 NIL AFFSP (NIL NIL T) -8 NIL NIL) (-34 35120 35790 35839 "AFFPLPS" 35844 NIL AFFPLPS (NIL T) -8 NIL NIL) (-33 34454 35061 35103 "AFFPL" 35108 NIL AFFPL (NIL T) -8 NIL NIL) (-32 31167 31654 32282 "AFALGRES" 33959 NIL AFALGRES (NIL T NIL T T T) -7 NIL NIL) (-31 29813 29990 30304 "AFALGGRO" 30986 NIL AFALGGRO (NIL T NIL T T T) -7 NIL NIL) (-30 29082 29340 29496 "ACPLOT" 29675 T ACPLOT (NIL) -8 NIL NIL) (-29 18442 26425 26477 "ACFS" 27188 NIL ACFS (NIL T) -9 NIL 27427) (-28 16456 16946 17721 "ACFS-" 17726 NIL ACFS- (NIL T T) -8 NIL NIL) (-27 12669 14625 14652 "ACF" 15531 T ACF (NIL) -9 NIL 15944) (-26 11373 11707 12200 "ACF-" 12205 NIL ACF- (NIL T) -8 NIL NIL) (-25 10970 11139 11166 "ABELSG" 11258 T ABELSG (NIL) -9 NIL 11323) (-24 10837 10862 10928 "ABELSG-" 10933 NIL ABELSG- (NIL T) -8 NIL NIL) (-23 10205 10466 10493 "ABELMON" 10663 T ABELMON (NIL) -9 NIL 10775) (-22 9869 9953 10091 "ABELMON-" 10096 NIL ABELMON- (NIL T) -8 NIL NIL) (-21 9202 9548 9575 "ABELGRP" 9700 T ABELGRP (NIL) -9 NIL 9782) (-20 8665 8794 9010 "ABELGRP-" 9015 NIL ABELGRP- (NIL T) -8 NIL NIL) (-19 4333 8027 8067 "A1AGG" 8072 NIL A1AGG (NIL T) -9 NIL 8112) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL)) 
\ No newline at end of file
diff -Nru axiom-20110301a/src/share/algebra/operation.daase axiom-20111101/src/share/algebra/operation.daase
--- axiom-20110301a/src/share/algebra/operation.daase	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/operation.daase	2011-12-01 04:03:16.000000000 +0000
@@ -1,3229 +1,3240 @@
 
-(830583 . 3488060044)        
-(((*1 *2 *3 *4) (-12 (-5 *3 (-816)) (-5 *4 (-57)) (-5 *2 (-1249)) (-5 *1 (-826))))) 
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-(((*1 *2 *2) (|partial| -12 (-4 *1 (-984 *2)) (-4 *2 (-1181))))) 
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\ No newline at end of file
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+(((*1 *2 *1) (-12 (-4 *1 (-556 *2)) (-4 *2 (-13 (-407) (-1183))))) ((*1 *2) (-12 (-5 *2 (-569)) (-5 *1 (-851)))) ((*1 *2 *1) (-12 (-5 *2 (-569)) (-5 *1 (-851))))) 
+(((*1 *1 *1 *2) (-12 (-4 *1 (-1130)) (-5 *2 (-143)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1130)) (-5 *2 (-148))))) 
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\ No newline at end of file
diff -Nru axiom-20110301a/src/share/algebra/users.daase/index.kaf axiom-20111101/src/share/algebra/users.daase/index.kaf
--- axiom-20110301a/src/share/algebra/users.daase/index.kaf	2011-03-29 05:45:39.000000000 +0000
+++ axiom-20111101/src/share/algebra/users.daase/index.kaf	2011-12-01 04:03:16.000000000 +0000
@@ -1,4 +1,4 @@
-234547              (|ProjectiveAlgebraicSetPackage|)
+235020              (|ProjectiveAlgebraicSetPackage|)
 (|ProjectiveAlgebraicSetPackage|)
 (|AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |BlowUpPackage| |DesingTreePackage| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField|)
 (|AffinePlane|)
@@ -57,7 +57,7 @@
 (|BalancedBinaryTree| |BinarySearchTree| |BinaryTournament|)
 (|SetOfMIntegersInOneToN|)
 (|DesingTreePackage|)
-(|AbelianMonoid&| |AbelianMonoidRing&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |Aggregate&| |AlgFactor| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AlgebraicallyClosedField&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AnonymousFunction| |AntiSymm| |Any| |AnyFunctions1| |ApplyRules| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |AxiomServer| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BasicType&| |BezoutMatrix| |BinaryExpansion| |BinaryFile| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |BinaryTreeCategory&| |BitAggregate&| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |BoundIntegerRoots| |BrillhartTests| |CardinalNumber| |CartesianTensor| |ChangeOfVariable| |Character| |CharacterClass| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |Collection&| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |CommuteUnivariatePolynomialCategory| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexPattern| |ComplexPatternMatch| |ComplexRootFindingPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |ContinuedFraction| |CycleIndicators| |CyclicStreamTools| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |Dictionary&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |EigenPackage| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EllipticFunctionsUnivariateTaylorSeries| |EqTable| |Equation| |EuclideanDomain&| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |EvaluateCycleIndicators| |Exit| |ExpertSystemContinuityPackage| |ExpertSystemContinuityPackage1| |ExpertSystemToolsPackage| |ExpertSystemToolsPackage1| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |ExtAlgBasis| |ExtensibleLinearAggregate&| |ExtensionField&| |FGLMIfCanPackage| |Factored| |FactoredFunctions| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |Field&| |File| |FileName| |FindOrderFinite| |FiniteAbelianMonoidRing&| |FiniteAbelianMonoidRingFunctions2| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteDivisorCategory&| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteFieldSolveLinearPolynomialEquation| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregate&| |FiniteLinearAggregateFunctions2| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FloatingComplexPackage| |FloatingRealPackage| |FortranCode| |FortranExpression| |FortranOutputStackPackage| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionalIdeal| |FramedModule| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaussianFactorizationPackage| |GcdDomain&| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GosperSummationMethod| |GraphImage| |GraphicsDefaults| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |GroebnerSolve| |Guess| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HallBasis| |HashTable| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexCard| |IndexedAggregate&| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfiniteProductFiniteField| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySign| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |Integer| |IntegerBits| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerLinearDependence| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRetractions| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegralBasisPolynomialTools| |IntegralBasisTools| |IntegralDomain&| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InternalRationalUnivariateRepresentationPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |IrredPolyOverFiniteField| |Kernel| |KeyedAccessFile| |KeyedDictionary&| |LaplaceTransform| |LaurentPolynomial| |LazardSetSolvingPackage| |LazyStreamAggregate&| |LeadingCoefDetermination| |LexTriangularPackage| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorCategory&| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperatorsOps| |LinearPolynomialEquationByFractions| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemMatrixPackage1| |LinearSystemPolynomialPackage| |LinesOpPack| |LiouvillianFunction| |List| |ListAggregate&| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MakeFloatCompiledFunction| |MathMLFormat| |Matrix| |MatrixCategory&| |MatrixCategoryFunctions2| |MatrixLinearAlgebraFunctions| |MergeThing| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonadWithUnit&| |Monoid&| |MonoidRing| |MonomialExtensionTools| |MultFiniteFactorize| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NPCoef| |NagEigenPackage| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagPolynomialRootsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonPolygon| |NonCommutativeOperatorDivision| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |None| |NormInMonogenicAlgebra| |NormRetractPackage| |NormalizationPackage| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |NumberTheoreticPolynomialFunctions| |NumericContinuedFraction| |NumericTubePlot| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalOrdinaryDifferentialEquations| |NumericalPDEProblem| |NumericalQuadrature| |ODEIntegration| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |OpenMathConnection| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathPackage| |OpenMathServerPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedRing&| |OrderedSet&| |OrderedVariableList| |OrderingFunctions| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |PadeApproximantPackage| |PadeApproximants| |Palette| |ParametricLinearEquations| |ParametrizationPackage| |PartialFraction| |Partition| |Pattern| |PatternFunctions1| |PatternMatch| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchListAggregate| |PatternMatchListResult| |PatternMatchPolynomialCategory| |PatternMatchPushDown| |PatternMatchQuotientFieldCategory| |PatternMatchResult| |PatternMatchResultFunctions2| |PatternMatchSymbol| |PatternMatchTools| |PendantTree| |Permanent| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PlotTools| |PoincareBirkhoffWittLyndonBasis| |Point| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PolToPol| |Polynomial| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialCategoryQuotientFunctions| |PolynomialComposition| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialNumberTheoryFunctions| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSolveByFormulas| |PolynomialSquareFree| |PositiveInteger| |PowerSeriesCategory&| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |PushVariables| |QuadraticForm| |QuasiAlgebraicSet| |QuasiAlgebraicSet2| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |Queue| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomDistributions| |RandomFloatDistributions| |RandomIntegerDistributions| |RationalFactorize| |RationalFunctionDefiniteIntegration| |RationalFunctionLimitPackage| |RationalInterpolation| |RationalLODE| |RationalRetractions| |RationalRicDE| |RationalUnivariateRepresentationPackage| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealZeroPackage| |RectangularMatrix| |RectangularMatrixCategory&| |RecurrenceOperator| |RecursiveAggregate&| |RecursivePolynomialCategory&| |ReductionOfOrder| |Reference| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RetractSolvePackage| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentBinding| |SegmentFunctions2| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SingletonAsOrderedSet| |SmithNormalForm| |SortPackage| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stack| |StorageEfficientMatrixOperations| |Stream| |StreamAggregate&| |StreamFunctions1| |StreamFunctions2| |StreamFunctions3| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringAggregate&| |StringTable| |StructuralConstantsPackage| |SturmHabichtPackage| |SubResultantPackage| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |SupFractionFactorizer| |Switch| |Symbol| |SymbolTable| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Table| |TableAggregate&| |TableauxBumpers| |TabulatedComputationPackage| |TaylorSeries| |TaylorSolve| |TexFormat| |TextFile| |TheSymbolTable| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |ToolsForSign| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TopLevelDrawFunctionsForPoints| |TransSolvePackage| |TransSolvePackageService| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDE| |TranscendentalRischDESystem| |Tree| |TriangularSetCategory&| |TrigonometricManipulations| |TubePlot| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |UnaryRecursiveAggregate&| |UniqueFactorizationDomain&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariateLaurentSeriesConstructorCategory&| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialCategoryFunctions2| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialDivisionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesConstructorCategory&| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategoryOps| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |UniversalSegmentFunctions2| |UserDefinedPartialOrdering| |Variable| |Vector| |VectorFunctions2| |ViewDefaultsPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01TransformFunctionType| |d01WeightsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |d03fafAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AbelianMonoid&| |AbelianMonoidRing&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |Aggregate&| |AlgFactor| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AlgebraicallyClosedField&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AnonymousFunction| |AntiSymm| |Any| |AnyFunctions1| |ApplyRules| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |AxiomServer| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BasicStochasticDifferential| |BasicType&| |BezoutMatrix| |BinaryExpansion| |BinaryFile| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |BinaryTreeCategory&| |BitAggregate&| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |BoundIntegerRoots| |BrillhartTests| |CardinalNumber| |CartesianTensor| |ChangeOfVariable| |Character| |CharacterClass| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |Collection&| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |CommuteUnivariatePolynomialCategory| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexPattern| |ComplexPatternMatch| |ComplexRootFindingPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |ContinuedFraction| |CycleIndicators| |CyclicStreamTools| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |Dictionary&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |EigenPackage| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EllipticFunctionsUnivariateTaylorSeries| |EqTable| |Equation| |EuclideanDomain&| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |EvaluateCycleIndicators| |Exit| |ExpertSystemContinuityPackage| |ExpertSystemContinuityPackage1| |ExpertSystemToolsPackage| |ExpertSystemToolsPackage1| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |ExtAlgBasis| |ExtensibleLinearAggregate&| |ExtensionField&| |FGLMIfCanPackage| |Factored| |FactoredFunctions| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |Field&| |File| |FileName| |FindOrderFinite| |FiniteAbelianMonoidRing&| |FiniteAbelianMonoidRingFunctions2| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteDivisorCategory&| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteFieldSolveLinearPolynomialEquation| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregate&| |FiniteLinearAggregateFunctions2| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FloatingComplexPackage| |FloatingRealPackage| |FortranCode| |FortranExpression| |FortranOutputStackPackage| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionalIdeal| |FramedModule| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaussianFactorizationPackage| |GcdDomain&| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GosperSummationMethod| |GraphImage| |GraphicsDefaults| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |GroebnerSolve| |Guess| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HallBasis| |HashTable| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexCard| |IndexedAggregate&| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfiniteProductFiniteField| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySign| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |Integer| |IntegerBits| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerLinearDependence| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRetractions| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegralBasisPolynomialTools| |IntegralBasisTools| |IntegralDomain&| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InternalRationalUnivariateRepresentationPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |IrredPolyOverFiniteField| |Kernel| |KeyedAccessFile| |KeyedDictionary&| |LaplaceTransform| |LaurentPolynomial| |LazardSetSolvingPackage| |LazyStreamAggregate&| |LeadingCoefDetermination| |LexTriangularPackage| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorCategory&| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperatorsOps| |LinearPolynomialEquationByFractions| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemMatrixPackage1| |LinearSystemPolynomialPackage| |LinesOpPack| |LiouvillianFunction| |List| |ListAggregate&| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MakeFloatCompiledFunction| |MathMLFormat| |Matrix| |MatrixCategory&| |MatrixCategoryFunctions2| |MatrixLinearAlgebraFunctions| |MergeThing| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonadWithUnit&| |Monoid&| |MonoidRing| |MonomialExtensionTools| |MultFiniteFactorize| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NPCoef| |NagEigenPackage| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagPolynomialRootsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonPolygon| |NonCommutativeOperatorDivision| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |None| |NormInMonogenicAlgebra| |NormRetractPackage| |NormalizationPackage| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |NumberTheoreticPolynomialFunctions| |NumericContinuedFraction| |NumericTubePlot| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalOrdinaryDifferentialEquations| |NumericalPDEProblem| |NumericalQuadrature| |ODEIntegration| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |OpenMathConnection| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathPackage| |OpenMathServerPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedRing&| |OrderedSet&| |OrderedVariableList| |OrderingFunctions| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |PadeApproximantPackage| |PadeApproximants| |Palette| |ParametricLinearEquations| |ParametrizationPackage| |PartialFraction| |Partition| |Pattern| |PatternFunctions1| |PatternMatch| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchListAggregate| |PatternMatchListResult| |PatternMatchPolynomialCategory| |PatternMatchPushDown| |PatternMatchQuotientFieldCategory| |PatternMatchResult| |PatternMatchResultFunctions2| |PatternMatchSymbol| |PatternMatchTools| |PendantTree| |Permanent| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PlotTools| |PoincareBirkhoffWittLyndonBasis| |Point| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PolToPol| |Polynomial| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialCategoryQuotientFunctions| |PolynomialComposition| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialNumberTheoryFunctions| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSolveByFormulas| |PolynomialSquareFree| |PositiveInteger| |PowerSeriesCategory&| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |PushVariables| |QuadraticForm| |QuasiAlgebraicSet| |QuasiAlgebraicSet2| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |Queue| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomDistributions| |RandomFloatDistributions| |RandomIntegerDistributions| |RationalFactorize| |RationalFunctionDefiniteIntegration| |RationalFunctionLimitPackage| |RationalInterpolation| |RationalLODE| |RationalRetractions| |RationalRicDE| |RationalUnivariateRepresentationPackage| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealZeroPackage| |RectangularMatrix| |RectangularMatrixCategory&| |RecurrenceOperator| |RecursiveAggregate&| |RecursivePolynomialCategory&| |ReductionOfOrder| |Reference| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RetractSolvePackage| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentBinding| |SegmentFunctions2| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SingletonAsOrderedSet| |SmithNormalForm| |SortPackage| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stack| |StorageEfficientMatrixOperations| |Stream| |StreamAggregate&| |StreamFunctions1| |StreamFunctions2| |StreamFunctions3| |StreamTaylorSeriesOperations| |StreamTensor| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringAggregate&| |StringTable| |StructuralConstantsPackage| |SturmHabichtPackage| |SubResultantPackage| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |SupFractionFactorizer| |Switch| |Symbol| |SymbolTable| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Table| |TableAggregate&| |TableauxBumpers| |TabulatedComputationPackage| |TaylorSeries| |TaylorSolve| |TexFormat| |TextFile| |TheSymbolTable| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |ToolsForSign| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TopLevelDrawFunctionsForPoints| |TransSolvePackage| |TransSolvePackageService| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDE| |TranscendentalRischDESystem| |Tree| |TriangularSetCategory&| |TrigonometricManipulations| |TubePlot| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |U32Vector| |UnaryRecursiveAggregate&| |UniqueFactorizationDomain&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariateLaurentSeriesConstructorCategory&| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialCategoryFunctions2| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialDivisionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesConstructorCategory&| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategoryOps| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |UniversalSegmentFunctions2| |UserDefinedPartialOrdering| |Variable| |Vector| |VectorFunctions2| |ViewDefaultsPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01TransformFunctionType| |d01WeightsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |d03fafAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|PrimitiveRatDE| |RationalLODE|)
 (|GaloisGroupFactorizer|)
 (|CliffordAlgebra| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |Equation| |FiniteAlgebraicExtensionField&| |FiniteField| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |HomogeneousDirectProduct| |InnerFiniteField| |InnerPrimeField| |OrderedDirectProduct| |PrimeField| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |RectangularMatrix| |SplitHomogeneousDirectProduct|)
@@ -117,7 +117,7 @@
 (|FunctionSpaceComplexIntegration| |FunctionSpaceIntegration|)
 (|ElementaryIntegration|)
 (|ElementaryIntegration|)
-(|AlgebraicNumber| |ApplyRules| |ArrayStack| |AssociationList| |BalancedBinaryTree| |BalancedPAdicRational| |BinaryExpansion| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |CharacterClass| |Complex| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexRootFindingPackage| |DataList| |DecimalExpansion| |DefiniteIntegrationTools| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DiophantineSolutionPackage| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DistributedMultivariatePolynomial| |DoubleFloatMatrix| |DoubleFloatVector| |EigenPackage| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |EqTable| |Equation| |EquationFunctions2| |Evalable&| |ExpertSystemContinuityPackage| |ExponentialExpansion| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToUnivariatePowerSeries| |Factored| |FlexibleArray| |FloatingComplexPackage| |FloatingRealPackage| |FortranExpression| |FortranProgram| |Fraction| |FullyEvalableOver&| |FunctionSpace&| |GeneralDistributedMultivariatePolynomial| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |IndexedBits| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InnerAlgebraicNumber| |InnerIndexedTwoDimensionalArray| |InnerNumericFloatSolvePackage| |InnerTable| |KeyedAccessFile| |LaplaceTransform| |Library| |LieExponentials| |LieSquareMatrix| |List| |ListMultiDictionary| |MachineComplex| |Matrix| |ModMonic| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonLinearSolvePackage| |Octonion| |OneDimensionalArray| |OrderedDirectProduct| |OrderlyDifferentialPolynomial| |PAdicRational| |PAdicRationalConstructor| |PatternMatch| |PendantTree| |Point| |Polynomial| |PolynomialCategory&| |PolynomialIdeals| |PowerSeriesLimitPackage| |PrimitiveArray| |Quaternion| |Queue| |RadicalSolvePackage| |RadixExpansion| |RationalFunction| |RationalFunctionLimitPackage| |RationalRicDE| |RectangularMatrix| |RecurrenceOperator| |RegularChain| |RegularTriangularSet| |Result| |RetractSolvePackage| |RewriteRule| |RoutinesTable| |SequentialDifferentialPolynomial| |Set| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SplitHomogeneousDirectProduct| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareMatrix| |Stack| |Stream| |String| |StringTable| |SystemSolvePackage| |Table| |TaylorSeries| |ThreeDimensionalMatrix| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackage| |Tree| |TwoDimensionalArray| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |Vector| |WuWenTsunTriangularSet| |d01AgentsPackage| |d01TransformFunctionType| |d02AgentsPackage| |d03AgentsPackage|)
+(|AlgebraicNumber| |ApplyRules| |ArrayStack| |AssociationList| |BalancedBinaryTree| |BalancedPAdicRational| |BinaryExpansion| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |CharacterClass| |Complex| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexRootFindingPackage| |DataList| |DecimalExpansion| |DefiniteIntegrationTools| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DiophantineSolutionPackage| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DistributedMultivariatePolynomial| |DoubleFloatMatrix| |DoubleFloatVector| |EigenPackage| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |EqTable| |Equation| |EquationFunctions2| |Evalable&| |ExpertSystemContinuityPackage| |ExponentialExpansion| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToUnivariatePowerSeries| |Factored| |FlexibleArray| |FloatingComplexPackage| |FloatingRealPackage| |FortranExpression| |FortranProgram| |Fraction| |FullyEvalableOver&| |FunctionSpace&| |GeneralDistributedMultivariatePolynomial| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |IndexedBits| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InnerAlgebraicNumber| |InnerIndexedTwoDimensionalArray| |InnerNumericFloatSolvePackage| |InnerTable| |KeyedAccessFile| |LaplaceTransform| |Library| |LieExponentials| |LieSquareMatrix| |List| |ListMultiDictionary| |MachineComplex| |Matrix| |ModMonic| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonLinearSolvePackage| |Octonion| |OneDimensionalArray| |OrderedDirectProduct| |OrderlyDifferentialPolynomial| |PAdicRational| |PAdicRationalConstructor| |PatternMatch| |PendantTree| |Point| |Polynomial| |PolynomialCategory&| |PolynomialIdeals| |PowerSeriesLimitPackage| |PrimitiveArray| |Quaternion| |Queue| |RadicalSolvePackage| |RadixExpansion| |RationalFunction| |RationalFunctionLimitPackage| |RationalRicDE| |RectangularMatrix| |RecurrenceOperator| |RegularChain| |RegularTriangularSet| |Result| |RetractSolvePackage| |RewriteRule| |RoutinesTable| |SequentialDifferentialPolynomial| |Set| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SplitHomogeneousDirectProduct| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareMatrix| |Stack| |Stream| |String| |StringTable| |SystemSolvePackage| |Table| |TaylorSeries| |ThreeDimensionalMatrix| |TopLevelDrawFunctionsForAlgebraicCurves| |TransSolvePackage| |Tree| |TwoDimensionalArray| |U32Vector| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |Vector| |WuWenTsunTriangularSet| |d01AgentsPackage| |d01TransformFunctionType| |d02AgentsPackage| |d03AgentsPackage|)
 (|AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AttributeButtons| |RoutinesTable| |d01AgentsPackage|)
 (|ParametricLinearEquations|)
 (|InnerModularGcd|)
@@ -252,9 +252,9 @@
 (|Table|)
 (|SparseMultivariateTaylorSeries| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero|)
 (|ComplexTrigonometricManipulations| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |TrigonometricManipulations|)
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 (|FunctionSpace&|)
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|DifferentialVariableCategory&| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DisplayPackage| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DrawComplex| |EigenPackage| |ElementaryFunction| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EllipticFunctionsUnivariateTaylorSeries| |Equation| |EuclideanDomain&| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |ExtensibleLinearAggregate&| |Factored| |FactoredFunctions| |FactoredFunctions2| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |FiniteAbelianMonoidRing&| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregate&| |FiniteLinearAggregateFunctions2| |FiniteLinearAggregateSort| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FloatingPointSystem&| |FortranCode| |FortranExpression| |FortranProgram| |FortranTemplate| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FractionalIdealFunctions2| |FramedAlgebra&| |FramedModule| |FramedNonAssociativeAlgebra&| |FramedNonAssociativeAlgebraFunctions2| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FullyRetractableTo&| |FunctionFieldCategory&| |FunctionSpace&| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GnuDraw| |GosperSummationMethod| |GraphImage| |GraphicsDefaults| |GrayCode| |GroebnerInternalPackage| |GroebnerPackage| |GroebnerSolve| |Group&| |Guess| |GuessFinite| |GuessFiniteFunctions| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HallBasis| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperbolicFunctionCategory&| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfiniteProductCharacteristicZero| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InfinitlyClosePoint| |InnerAlgFactor| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySign| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |Integer| |IntegerBits| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRetractions| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegralBasisPolynomialTools| |IntegralBasisTools| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InternalRationalUnivariateRepresentationPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |KeyedAccessFile| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LazyStreamAggregate&| |LeadingCoefDetermination| |LeftAlgebra&| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorsOps| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemPolynomialPackage| |LinesOpPack| |LiouvillianFunction| |List| |ListAggregate&| |ListMonoidOps| |ListToMap| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MachineComplex| |MachineFloat| |MachineInteger| |MakeFloatCompiledFunction| |MappingPackage1| |MathMLFormat| |Matrix| |MatrixCategory&| |MatrixCategoryFunctions2| |MatrixLinearAlgebraFunctions| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModularRing| |Module&| |ModuleOperator| |MoebiusTransform| |MonogenicAlgebra&| |MonoidRing| |MonomialExtensionTools| |MultFiniteFactorize| |MultiVariableCalculusFunctions| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NPCoef| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonInterpolation| |NewtonPolygon| |NonAssociativeRing&| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |NumberTheoreticPolynomialFunctions| |NumericContinuedFraction| |NumericTubePlot| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |ODEIntegration| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |OpenMathDevice| |OpenMathEncoding| |OpenMathError| |OpenMathServerPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedRing&| |OrderedVariableList| |OrderingFunctions| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OrthogonalPolynomialFunctions| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |Palette| |ParadoxicalCombinatorsForStreams| |ParametricLinearEquations| |ParametrizationPackage| |PartialFraction| |Partition| |PartitionsAndPermutations| |Pattern| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchPolynomialCategory| |PendantTree| |Permanent| |Permutation| |PermutationGroup| |PermutationGroupExamples| |Pi| |PiCoercions| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PoincareBirkhoffWittLyndonBasis| |Point| |PointFunctions2| |PointPackage| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |Polynomial| |PolynomialCategory&| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialNumberTheoryFunctions| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSolveByFormulas| |PowerSeriesCategory&| |PowerSeriesLimitPackage| |PrecomputedAssociatedEquations| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |QuadraticForm| |Quaternion| |QuaternionCategory&| |QuotientFieldCategory&| |RadicalCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RadixUtilities| |RandomDistributions| |RandomFloatDistributions| |RandomIntegerDistributions| |RandomNumberSource| |RationalFactorize| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalFunctionSum| |RationalInterpolation| |RationalLODE| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealSolvePackage| |RealZeroPackage| |RealZeroPackageQ| |RectangularMatrix| |RectangularMatrixCategory&| |RectangularMatrixCategoryFunctions2| |RecurrenceOperator| |RecursivePolynomialCategory&| |ReduceLODE| |ReductionOfOrder| |RegularTriangularSet| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RightOpenIntervalRootCharacterization| |Ring&| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentFunctions2| |SequentialDifferentialPolynomial| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SmithNormalForm| |SortPackage| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stream| |StreamAggregate&| |StreamInfiniteProduct| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringAggregate&| |StructuralConstantsPackage| |SturmHabichtPackage| |SubSpace| |Symbol| |SymmetricFunctions| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Tableau| |TableauxBumpers| |TangentExpansions| |TaylorSeries| |TaylorSolve| |TemplateUtilities| |TexFormat| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ToolsForSign| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TopLevelDrawFunctionsForPoints| |TransSolvePackage| |TransSolvePackageService| |TranscendentalFunctionCategory&| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDE| |TranscendentalRischDESystem| |Tree| |TriangularMatrixOperations| |TriangularSetCategory&| |TrigonometricManipulations| |TubePlotTools| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |UTSodetools| |UnaryRecursiveAggregate&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariateLaurentSeriesConstructorCategory&| |UnivariateLaurentSeriesFunctions2| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategoryOps| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |Vector| |VectorCategory&| |ViewDefaultsPackage| |ViewportPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |d01AgentsPackage| |d01TransformFunctionType| |d01WeightsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AbelianGroup&| |AbelianMonoidRing&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgFactor| |Algebra&| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicManipulations| |AlgebraicNumber| |AlgebraicallyClosedField&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |ApplyRules| |ArrayStack| |Asp10| |Asp19| |Asp27| |Asp28| |Asp30| |Asp31| |Asp34| |Asp35| |Asp55| |Asp73| |Asp74| |Asp77| |Asp8| |Asp80| |Asp9| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |AxiomServer| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |Bezier| |BezoutMatrix| |BinaryExpansion| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |BoundIntegerRoots| |BrillhartTests| |CardinalNumber| |CartesianTensor| |ChangeOfVariable| |Character| |CharacterClass| |CharacteristicPolynomialPackage| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |Color| |CombinatorialFunction| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexRootFindingPackage| |ComplexRootPackage| |ContinuedFraction| |CoordinateSystems| |CycleIndicators| |CyclotomicPolynomialPackage| |DataList| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DisplayPackage| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DrawComplex| |EigenPackage| |ElementaryFunction| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EllipticFunctionsUnivariateTaylorSeries| |Equation| |EuclideanDomain&| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |ExtensibleLinearAggregate&| |Factored| |FactoredFunctions| |FactoredFunctions2| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |FiniteAbelianMonoidRing&| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregate&| |FiniteLinearAggregateFunctions2| |FiniteLinearAggregateSort| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FloatingPointSystem&| |FortranCode| |FortranExpression| |FortranProgram| |FortranTemplate| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FractionalIdealFunctions2| |FramedAlgebra&| |FramedModule| |FramedNonAssociativeAlgebra&| |FramedNonAssociativeAlgebraFunctions2| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FullyRetractableTo&| |FunctionFieldCategory&| |FunctionSpace&| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GnuDraw| |GosperSummationMethod| |GraphImage| |GraphicsDefaults| |GrayCode| |GroebnerInternalPackage| |GroebnerPackage| |GroebnerSolve| |Group&| |Guess| |GuessFinite| |GuessFiniteFunctions| |HTMLFormat| |HallBasis| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperbolicFunctionCategory&| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfiniteProductCharacteristicZero| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InfinitlyClosePoint| |InnerAlgFactor| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySign| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |Integer| |IntegerBits| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRetractions| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegralBasisPolynomialTools| |IntegralBasisTools| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InternalRationalUnivariateRepresentationPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |KeyedAccessFile| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LazyStreamAggregate&| |LeadingCoefDetermination| |LeftAlgebra&| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorsOps| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemPolynomialPackage| |LinesOpPack| |LiouvillianFunction| |List| |ListAggregate&| |ListMonoidOps| |ListToMap| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MachineComplex| |MachineFloat| |MachineInteger| |MakeFloatCompiledFunction| |MappingPackage1| |MathMLFormat| |Matrix| |MatrixCategory&| |MatrixCategoryFunctions2| |MatrixLinearAlgebraFunctions| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModularRing| |Module&| |ModuleOperator| |MoebiusTransform| |MonogenicAlgebra&| |MonoidRing| |MonomialExtensionTools| |MultFiniteFactorize| |MultiVariableCalculusFunctions| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NPCoef| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonInterpolation| |NewtonPolygon| |NonAssociativeRing&| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |NumberTheoreticPolynomialFunctions| |NumericContinuedFraction| |NumericTubePlot| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |ODEIntegration| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |OpenMathDevice| |OpenMathEncoding| |OpenMathError| |OpenMathServerPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedRing&| |OrderedVariableList| |OrderingFunctions| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OrthogonalPolynomialFunctions| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |Palette| |ParadoxicalCombinatorsForStreams| |ParametricLinearEquations| |ParametrizationPackage| |PartialFraction| |Partition| |PartitionsAndPermutations| |Pattern| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchPolynomialCategory| |PendantTree| |Permanent| |Permutation| |PermutationGroup| |PermutationGroupExamples| |Pi| |PiCoercions| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PoincareBirkhoffWittLyndonBasis| |Point| |PointFunctions2| |PointPackage| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |Polynomial| |PolynomialCategory&| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialNumberTheoryFunctions| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSolveByFormulas| |PowerSeriesCategory&| |PowerSeriesLimitPackage| |PrecomputedAssociatedEquations| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |QuadraticForm| |Quaternion| |QuaternionCategory&| |QuotientFieldCategory&| |RadicalCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RadixUtilities| |RandomDistributions| |RandomFloatDistributions| |RandomIntegerDistributions| |RandomNumberSource| |RationalFactorize| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalFunctionSum| |RationalInterpolation| |RationalLODE| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealSolvePackage| |RealZeroPackage| |RealZeroPackageQ| |RectangularMatrix| |RectangularMatrixCategory&| |RectangularMatrixCategoryFunctions2| |RecurrenceOperator| |RecursivePolynomialCategory&| |ReduceLODE| |ReductionOfOrder| |RegularTriangularSet| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RightOpenIntervalRootCharacterization| |Ring&| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentFunctions2| |SequentialDifferentialPolynomial| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SmithNormalForm| |SortPackage| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stream| |StreamAggregate&| |StreamInfiniteProduct| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringAggregate&| |StructuralConstantsPackage| |SturmHabichtPackage| |SubSpace| |Symbol| |SymmetricFunctions| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Tableau| |TableauxBumpers| |TangentExpansions| |TaylorSeries| |TaylorSolve| |TemplateUtilities| |TexFormat| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ToolsForSign| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TopLevelDrawFunctionsForPoints| |TransSolvePackage| |TransSolvePackageService| |TranscendentalFunctionCategory&| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDE| |TranscendentalRischDESystem| |Tree| |TriangularMatrixOperations| |TriangularSetCategory&| |TrigonometricManipulations| |TubePlotTools| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |U32Vector| |UTSodetools| |UnaryRecursiveAggregate&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariateLaurentSeriesConstructorCategory&| |UnivariateLaurentSeriesFunctions2| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategoryOps| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |Vector| |VectorCategory&| |ViewDefaultsPackage| |ViewportPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |d01AgentsPackage| |d01TransformFunctionType| |d01WeightsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|RandomIntegerDistributions|)
 (|ComplexRootFindingPackage| |GaloisGroupUtilities| |Guess| |IntegerNumberSystem&| |IrrRepSymNatPackage| |MultivariateLifting| |RepresentationPackage1| |SetOfMIntegersInOneToN| |SymmetricGroupCombinatoricFunctions|)
 (|CyclotomicPolynomialPackage| |Factored| |GaussianFactorizationPackage| |IntegerNumberSystem&| |NumberFieldIntegralBasis|)
@@ -301,7 +301,7 @@
 (|SystemSolvePackage|)
 (|InterpolateFormsPackage| |LinearSystemFromPowerSeriesPackage|)
 (|Expression| |PowerSeriesLimitPackage|)
-(|AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgFactor| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicManipulations| |AlgebraicMultFact| |AlgebraicNumber| |AlgebraicallyClosedField&| |AlgebraicallyClosedFunctionSpace&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |Any| |ApplicationProgramInterface| |ApplyRules| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttachPredicates| |AttributeButtons| |AxiomServer| |BagAggregate&| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |Bezier| |BinaryExpansion| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |BoundIntegerRoots| |CRApackage| |CardinalNumber| |CartesianTensor| |CartesianTensorFunctions2| |Character| |CharacterClass| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |CoerceVectorMatrixPackage| |Collection&| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexRootFindingPackage| |ComplexRootPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |ContinuedFraction| |CycleIndicators| |CyclotomicPolynomialPackage| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |Dictionary&| |DictionaryOperations&| |DifferentialExtension&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DisplayPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |DrawOptionFunctions1| |EigenPackage| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EllipticFunctionsUnivariateTaylorSeries| |EqTable| |Equation| |ErrorFunctions| |EuclideanDomain&| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |Evalable&| |EvaluateCycleIndicators| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExpertSystemToolsPackage1| |ExpertSystemToolsPackage2| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceFunctions1| |ExpressionSpaceFunctions2| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |ExtAlgBasis| |ExtensibleLinearAggregate&| |FGLMIfCanPackage| |Factored| |FactoredFunctionUtilities| |FactoredFunctions| |FactoredFunctions2| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |Field&| |FiniteAbelianMonoidRing&| |FiniteAlgebraicExtensionField&| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldSolveLinearPolynomialEquation| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregateFunctions2| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FiniteSetAggregateFunctions2| |FlexibleArray| |Float| |FloatingComplexPackage| |FloatingRealPackage| |FortranCode| |FortranCodePackage1| |FortranExpression| |FortranOutputStackPackage| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FramedAlgebra&| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FullyEvalableOver&| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceAttachPredicates| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaussianFactorizationPackage| |GcdDomain&| |GenExEuclid| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GnuDraw| |GosperSummationMethod| |GraphImage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |GroebnerSolve| |Guess| |GuessAlgebraicNumber| |GuessFinite| |GuessInteger| |GuessOption| |GuessOptionFunctions0| |GuessPolynomial| |GuessUnivariatePolynomial| |HTMLFormat| |HallBasis| |HashTable| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexedAggregate&| |IndexedBits| |IndexedDirectProductObject| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgFactor| |InnerAlgebraicNumber| |InnerEvalable&| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerMatrixQuotientFieldFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTrigonometricManipulations| |InputForm| |InputFormFunctions1| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegrationFunctionsTable| |IntegrationResult| |IntegrationResultFunctions2| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |IntegrationTools| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |Kernel| |KernelFunctions2| |KeyedAccessFile| |KeyedDictionary&| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LazardSetSolvingPackage| |LazyStreamAggregate&| |LeadingCoefDetermination| |LexTriangularPackage| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperatorsOps| |LinearPolynomialEquationByFractions| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemMatrixPackage1| |LinearSystemPolynomialPackage| |LinesOpPack| |LiouvillianFunction| |List| |ListFunctions2| |ListFunctions3| |ListMonoidOps| |ListMultiDictionary| |ListToMap| |LocalParametrizationOfSimplePointPackage| |LyndonWord| |MPolyCatFunctions2| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeBinaryCompiledFunction| |MakeFloatCompiledFunction| |MakeFunction| |MakeUnaryCompiledFunction| |MappingPackage1| |MathMLFormat| |Matrix| |MatrixCategory&| |MatrixCommonDenominator| |MatrixLinearAlgebraFunctions| |MergeThing| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModuleOperator| |MoebiusTransform| |MonogenicAlgebra&| |MonoidRing| |MonoidRingFunctions2| |MonomialExtensionTools| |MultFiniteFactorize| |MultiVariableCalculusFunctions| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NPCoef| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonInterpolation| |NewtonPolygon| |NonLinearFirstOrderODESolver| |NonLinearSolvePackage| |NormRetractPackage| |NormalizationPackage| |NumberFieldIntegralBasis| |NumberFormats| |NumericComplexEigenPackage| |NumericRealEigenPackage| |NumericTubePlot| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |ODEIntegration| |ODEIntensityFunctionsTable| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OpenMathError| |OpenMathPackage| |OppositeMonogenicLinearOperator| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PAdicWildFunctionFieldIntegralBasis| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |PadeApproximants| |Palette| |ParadoxicalCombinatorsForStreams| |ParametricLinearEquations| |ParametrizationPackage| |PartialDifferentialRing&| |PartialFraction| |PartialFractionPackage| |Partition| |PartitionsAndPermutations| |Pattern| |PatternFunctions1| |PatternFunctions2| |PatternMatch| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchPolynomialCategory| |PatternMatchPushDown| |PatternMatchResult| |PatternMatchResultFunctions2| |PatternMatchTools| |PendantTree| |Permutation| |PermutationGroup| |PermutationGroupExamples| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PlotTools| |PoincareBirkhoffWittLyndonBasis| |Point| |PointFunctions2| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |PolyGroebner| |Polynomial| |PolynomialCategory&| |PolynomialCategoryQuotientFunctions| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialInterpolation| |PolynomialInterpolationAlgorithms| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSolveByFormulas| |PolynomialSquareFree| |PowerSeriesLimitPackage| |PrecomputedAssociatedEquations| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |PushVariables| |QuasiAlgebraicSet| |QuasiAlgebraicSet2| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |Queue| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomDistributions| |RationalFactorize| |RationalFunction| |RationalFunctionDefiniteIntegration| |RationalFunctionIntegration| |RationalFunctionSign| |RationalIntegration| |RationalInterpolation| |RationalLODE| |RationalRicDE| |RationalUnivariateRepresentationPackage| |RealClosedField&| |RealClosure| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealSolvePackage| |RealZeroPackage| |RealZeroPackageQ| |RectangularMatrix| |RecurrenceOperator| |RecursiveAggregate&| |RecursivePolynomialCategory&| |ReductionOfOrder| |Reference| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RetractSolvePackage| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentFunctions2| |SequentialDifferentialPolynomial| |Set| |SetAggregate&| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SimpleFortranProgram| |SingleInteger| |SmithNormalForm| |SortedCache| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SpecialOutputPackage| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stack| |Stream| |StreamAggregate&| |StreamFunctions2| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |String| |StringTable| |StructuralConstantsPackage| |SturmHabichtPackage| |SubResultantPackage| |SubSpace| |SubSpaceComponentProperty| |SupFractionFactorizer| |Switch| |Symbol| |SymbolTable| |SymmetricFunctions| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Table| |TableAggregate&| |Tableau| |TableauxBumpers| |TangentExpansions| |TaylorSeries| |TaylorSolve| |TexFormat| |TheSymbolTable| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TopLevelDrawFunctionsForPoints| |TransSolvePackage| |TransSolvePackageService| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDESystem| |Tree| |TriangularSetCategory&| |TrigonometricManipulations| |TubePlot| |TubePlotTools| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |UnaryRecursiveAggregate&| |UniqueFactorizationDomain&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialCommonDenominator| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePolynomialSquareFree| |UnivariatePowerSeriesCategory&| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |UserDefinedPartialOrdering| |UserDefinedVariableOrdering| |Vector| |VectorCategory&| |VectorFunctions2| |ViewDefaultsPackage| |ViewportPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01TransformFunctionType| |d01WeightsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgFactor| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicManipulations| |AlgebraicMultFact| |AlgebraicNumber| |AlgebraicallyClosedField&| |AlgebraicallyClosedFunctionSpace&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |Any| |ApplicationProgramInterface| |ApplyRules| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttachPredicates| |AttributeButtons| |AxiomServer| |BagAggregate&| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BasicStochasticDifferential| |Bezier| |BinaryExpansion| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |BoundIntegerRoots| |CRApackage| |CardinalNumber| |CartesianTensor| |CartesianTensorFunctions2| |Character| |CharacterClass| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |CoerceVectorMatrixPackage| |Collection&| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexRootFindingPackage| |ComplexRootPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |ContinuedFraction| |CycleIndicators| |CyclotomicPolynomialPackage| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |Dictionary&| |DictionaryOperations&| |DifferentialExtension&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DisplayPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |DrawOptionFunctions1| |EigenPackage| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |EllipticFunctionsUnivariateTaylorSeries| |EqTable| |Equation| |ErrorFunctions| |EuclideanDomain&| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |Evalable&| |EvaluateCycleIndicators| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExpertSystemToolsPackage1| |ExpertSystemToolsPackage2| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceFunctions1| |ExpressionSpaceFunctions2| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |ExtAlgBasis| |ExtensibleLinearAggregate&| |FGLMIfCanPackage| |Factored| |FactoredFunctionUtilities| |FactoredFunctions| |FactoredFunctions2| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |Field&| |FiniteAbelianMonoidRing&| |FiniteAlgebraicExtensionField&| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldSolveLinearPolynomialEquation| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregateFunctions2| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FiniteSetAggregateFunctions2| |FlexibleArray| |Float| |FloatingComplexPackage| |FloatingRealPackage| |FortranCode| |FortranCodePackage1| |FortranExpression| |FortranOutputStackPackage| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FramedAlgebra&| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FullyEvalableOver&| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceAttachPredicates| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaussianFactorizationPackage| |GcdDomain&| |GenExEuclid| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GnuDraw| |GosperSummationMethod| |GraphImage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |GroebnerSolve| |Guess| |GuessAlgebraicNumber| |GuessFinite| |GuessInteger| |GuessOption| |GuessOptionFunctions0| |GuessPolynomial| |GuessUnivariatePolynomial| |HTMLFormat| |HallBasis| |HashTable| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexedAggregate&| |IndexedBits| |IndexedDirectProductObject| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgFactor| |InnerAlgebraicNumber| |InnerEvalable&| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerMatrixQuotientFieldFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTrigonometricManipulations| |InputForm| |InputFormFunctions1| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegrationFunctionsTable| |IntegrationResult| |IntegrationResultFunctions2| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |IntegrationTools| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |Kernel| |KernelFunctions2| |KeyedAccessFile| |KeyedDictionary&| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LazardSetSolvingPackage| |LazyStreamAggregate&| |LeadingCoefDetermination| |LexTriangularPackage| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperatorsOps| |LinearPolynomialEquationByFractions| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemMatrixPackage1| |LinearSystemPolynomialPackage| |LinesOpPack| |LiouvillianFunction| |List| |ListFunctions2| |ListFunctions3| |ListMonoidOps| |ListMultiDictionary| |ListToMap| |LocalParametrizationOfSimplePointPackage| |LyndonWord| |MPolyCatFunctions2| |MPolyCatPolyFactorizer| |MPolyCatRationalFunctionFactorizer| |MRationalFactorize| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeBinaryCompiledFunction| |MakeFloatCompiledFunction| |MakeFunction| |MakeUnaryCompiledFunction| |MappingPackage1| |MathMLFormat| |Matrix| |MatrixCategory&| |MatrixCommonDenominator| |MatrixLinearAlgebraFunctions| |MergeThing| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModuleOperator| |MoebiusTransform| |MonogenicAlgebra&| |MonoidRing| |MonoidRingFunctions2| |MonomialExtensionTools| |MultFiniteFactorize| |MultiVariableCalculusFunctions| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NPCoef| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonInterpolation| |NewtonPolygon| |NonLinearFirstOrderODESolver| |NonLinearSolvePackage| |NormRetractPackage| |NormalizationPackage| |NumberFieldIntegralBasis| |NumberFormats| |NumericComplexEigenPackage| |NumericRealEigenPackage| |NumericTubePlot| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |ODEIntegration| |ODEIntensityFunctionsTable| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OpenMathError| |OpenMathPackage| |OppositeMonogenicLinearOperator| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PAdicWildFunctionFieldIntegralBasis| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |PadeApproximants| |Palette| |ParadoxicalCombinatorsForStreams| |ParametricLinearEquations| |ParametrizationPackage| |PartialDifferentialRing&| |PartialFraction| |PartialFractionPackage| |Partition| |PartitionsAndPermutations| |Pattern| |PatternFunctions1| |PatternFunctions2| |PatternMatch| |PatternMatchFunctionSpace| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchPolynomialCategory| |PatternMatchPushDown| |PatternMatchResult| |PatternMatchResultFunctions2| |PatternMatchTools| |PendantTree| |Permutation| |PermutationGroup| |PermutationGroupExamples| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PlotTools| |PoincareBirkhoffWittLyndonBasis| |Point| |PointFunctions2| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |PolyGroebner| |Polynomial| |PolynomialCategory&| |PolynomialCategoryQuotientFunctions| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialFactorizationExplicit&| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialInterpolation| |PolynomialInterpolationAlgorithms| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSetCategory&| |PolynomialSetUtilitiesPackage| |PolynomialSolveByFormulas| |PolynomialSquareFree| |PowerSeriesLimitPackage| |PrecomputedAssociatedEquations| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |PushVariables| |QuasiAlgebraicSet| |QuasiAlgebraicSet2| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |Queue| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomDistributions| |RationalFactorize| |RationalFunction| |RationalFunctionDefiniteIntegration| |RationalFunctionIntegration| |RationalFunctionSign| |RationalIntegration| |RationalInterpolation| |RationalLODE| |RationalRicDE| |RationalUnivariateRepresentationPackage| |RealClosedField&| |RealClosure| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealSolvePackage| |RealZeroPackage| |RealZeroPackageQ| |RectangularMatrix| |RecurrenceOperator| |RecursiveAggregate&| |RecursivePolynomialCategory&| |ReductionOfOrder| |Reference| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RetractSolvePackage| |RewriteRule| 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|StreamTaylorSeriesOperations| |StreamTensor| |StreamTranscendentalFunctions| |String| |StringTable| |StructuralConstantsPackage| |SturmHabichtPackage| |SubResultantPackage| |SubSpace| |SubSpaceComponentProperty| |SupFractionFactorizer| |Switch| |Symbol| |SymbolTable| |SymmetricFunctions| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Table| |TableAggregate&| |Tableau| |TableauxBumpers| |TangentExpansions| |TaylorSeries| |TaylorSolve| |TexFormat| |TheSymbolTable| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TopLevelDrawFunctionsForPoints| |TransSolvePackage| |TransSolvePackageService| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDESystem| |Tree| |TriangularSetCategory&| |TrigonometricManipulations| |TubePlot| |TubePlotTools| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |U32Vector| |UnaryRecursiveAggregate&| |UniqueFactorizationDomain&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialCommonDenominator| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePolynomialSquareFree| |UnivariatePowerSeriesCategory&| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |UserDefinedPartialOrdering| |UserDefinedVariableOrdering| |Vector| |VectorCategory&| |VectorFunctions2| |ViewDefaultsPackage| |ViewportPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01TransformFunctionType| |d01WeightsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|AlgebraPackage| |Asp19| |Asp55| |DirichletRing| |ElementaryFunctionSign| |FiniteSetAggregateFunctions2| |FramedNonAssociativeAlgebra&| |GaloisGroupFactorizer| |GenericNonAssociativeAlgebra| |Guess| |LieSquareMatrix| |MatrixCommonDenominator| |PAdicWildFunctionFieldIntegralBasis| |PermutationGroupExamples| |RealSolvePackage| |TaylorSolve| |ThreeSpace| |TwoDimensionalPlotClipping| |UnivariateTaylorSeriesODESolver|)
 (|FreeGroup| |FreeMonoid| |InnerFreeAbelianMonoid|)
 (|IntegerFactorizationPackage|)
@@ -366,7 +366,7 @@
 (|BlowUpPackage|)
 (|ElementaryFunctionODESolver|)
 (|RationalRicDE|)
-(|AbelianGroup&| |AbelianMonoid&| |AbelianMonoidRing&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |Aggregate&| |AlgFactor| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AlgebraicallyClosedField&| |AlgebraicallyClosedFunctionSpace&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |ApplyRules| |ApplyUnivariateSkewPolynomial| |ArrayStack| |Asp19| |Asp20| |Asp27| |Asp28| |Asp30| |Asp31| |Asp34| |Asp35| |Asp41| |Asp42| |Asp55| |Asp74| |Asp77| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |Automorphism| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicOperator| |BasicOperatorFunctions1| |BezoutMatrix| |BinaryExpansion| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |BinaryTreeCategory&| |Bits| |BlowUpPackage| |Boolean| |BoundIntegerRoots| |BrillhartTests| |CRApackage| |CardinalNumber| |CartesianTensor| |ChangeOfVariable| |Character| |CharacterClass| |CharacteristicPolynomialInMonogenicalAlgebra| |CharacteristicPolynomialPackage| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |Collection&| |CommonOperators| |CommuteUnivariatePolynomialCategory| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexPatternMatch| |ComplexRootFindingPackage| |ConstantLODE| |ContinuedFraction| |CoordinateSystems| |CyclicStreamTools| |CyclotomicPolynomialPackage| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |Dictionary&| |DifferentialExtension&| |DifferentialPolynomialCategory&| |DifferentialRing&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DoubleResultantPackage| |DrawComplex| |EigenPackage| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |EqTable| |Equation| |EuclideanDomain&| |EuclideanModularRing| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToUnivariatePowerSeries| |ExtAlgBasis| |ExtensibleLinearAggregate&| |ExtensionField&| |Factored| |FactoredFunctionUtilities| |FactoredFunctions| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |Field&| |FieldOfPrimeCharacteristic&| |FindOrderFinite| |FiniteAbelianMonoidRing&| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteFieldSolveLinearPolynomialEquation| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregateFunctions2| |FiniteLinearAggregateSort| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FortranExpression| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FramedAlgebra&| |FramedModule| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |GcdDomain&| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GosperSummationMethod| |GraphImage| |GrayCode| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerSolve| |Group&| |Guess| |GuessOption| |GuessOptionFunctions0| |HallBasis| |HashTable| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfiniteProductFiniteField| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgFactor| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySign| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegralBasisPolynomialTools| |IntegralBasisTools| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |IrredPolyOverFiniteField| |Kernel| |KernelFunctions2| |KeyedAccessFile| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LazyStreamAggregate&| |LeadingCoefDetermination| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorCategory&| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperatorsOps| |LinearPolynomialEquationByFractions| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemMatrixPackage1| |LinearSystemPolynomialPackage| |LinesOpPack| |List| |ListAggregate&| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatRationalFunctionFactorizer| |MachineComplex| |MachineFloat| |MachineInteger| |MakeCachableSet| |MappingPackage1| |MappingPackageInternalHacks1| |Matrix| |MatrixCategory&| |MatrixCategoryFunctions2| |MatrixLinearAlgebraFunctions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModularRing| |Module&| |ModuleOperator| |MoebiusTransform| |MonadWithUnit&| |MonogenicAlgebra&| |Monoid&| |MonoidRing| |MonomialExtensionTools| |MultFiniteFactorize| |MultiVariableCalculusFunctions| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NPCoef| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonInterpolation| |NewtonPolygon| |NonCommutativeOperatorDivision| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |NormInMonogenicAlgebra| |NormRetractPackage| |NormalizationPackage| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |NumberTheoreticPolynomialFunctions| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |Operator| |OppositeMonogenicLinearOperator| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OrthogonalPolynomialFunctions| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PAdicWildFunctionFieldIntegralBasis| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |PadeApproximantPackage| |PadeApproximants| |ParametricLinearEquations| |ParametricPlaneCurve| |ParametricPlaneCurveFunctions2| |ParametricSpaceCurve| |ParametricSpaceCurveFunctions2| |ParametricSurface| |ParametricSurfaceFunctions2| |ParametrizationPackage| |PartialDifferentialRing&| |PartialFraction| |Partition| |Pattern| |PatternFunctions2| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchPushDown| |PatternMatchTools| |PendantTree| |Permanent| |Permutation| |PermutationGroup| |Pi| |PlaneAlgebraicCurvePlot| |PoincareBirkhoffWittLyndonBasis| |Point| |PointPackage| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |Polynomial| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialComposition| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialInterpolationAlgorithms| |PolynomialNumberTheoryFunctions| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSetUtilitiesPackage| |PolynomialSolveByFormulas| |PolynomialSquareFree| |PositiveInteger| |PowerSeriesCategory&| |PrecomputedAssociatedEquations| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |PushVariables| |QuadraticForm| |QuasiAlgebraicSet| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |Queue| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomDistributions| |RandomFloatDistributions| |RandomIntegerDistributions| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalInterpolation| |RationalLODE| |RationalRicDE| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealZeroPackage| |RectangularMatrix| |RectangularMatrixCategory&| |RectangularMatrixCategoryFunctions2| |RecurrenceOperator| |RecursivePolynomialCategory&| |ReduceLODE| |ReducedDivisor| |ReductionOfOrder| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RetractSolvePackage| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |SExpressionOf| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SmithNormalForm| |SortPackage| |SortedCache| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stack| |StorageEfficientMatrixOperations| |Stream| |StreamAggregate&| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |String| |StringAggregate&| |StringTable| |StructuralConstantsPackage| |SturmHabichtPackage| |SubResultantPackage| |SubSpace| |Symbol| |SymmetricFunctions| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Table| |TableAggregate&| |Tableau| |TabulatedComputationPackage| |TangentExpansions| |TaylorSeries| |TaylorSolve| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TransSolvePackage| |TransSolvePackageService| |TranscendentalHermiteIntegration| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDE| |TranscendentalRischDESystem| |Tree| |TriangularMatrixOperations| |TriangularSetCategory&| |TubePlotTools| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |UTSodetools| |UnaryRecursiveAggregate&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialCategoryFunctions2| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialDivisionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategoryOps| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |Vector| |VectorCategory&| |ViewDefaultsPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01aqfAnnaType| |d01fcfAnnaType| |d02AgentsPackage| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AbelianGroup&| |AbelianMonoid&| |AbelianMonoidRing&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |Aggregate&| |AlgFactor| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AlgebraicallyClosedField&| |AlgebraicallyClosedFunctionSpace&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |ApplyRules| |ApplyUnivariateSkewPolynomial| |ArrayStack| |Asp19| |Asp20| |Asp27| |Asp28| |Asp30| |Asp31| |Asp34| |Asp35| |Asp41| |Asp42| |Asp55| |Asp74| |Asp77| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |Automorphism| |BalancedBinaryTree| |BalancedFactorisation| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicOperator| |BasicOperatorFunctions1| |BezoutMatrix| |BinaryExpansion| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |BinaryTreeCategory&| |Bits| |BlowUpPackage| |Boolean| |BoundIntegerRoots| |BrillhartTests| |CRApackage| |CardinalNumber| |CartesianTensor| |ChangeOfVariable| |Character| |CharacterClass| |CharacteristicPolynomialInMonogenicalAlgebra| |CharacteristicPolynomialPackage| |ChineseRemainderToolsForIntegralBases| |CliffordAlgebra| |Collection&| |CommonOperators| |CommuteUnivariatePolynomialCategory| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexFactorization| |ComplexIntegerSolveLinearPolynomialEquation| |ComplexPatternMatch| |ComplexRootFindingPackage| |ConstantLODE| |ContinuedFraction| |CoordinateSystems| |CyclicStreamTools| |CyclotomicPolynomialPackage| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |Dictionary&| |DifferentialExtension&| |DifferentialPolynomialCategory&| |DifferentialRing&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DiophantineSolutionPackage| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatSpecialFunctions| |DoubleFloatVector| |DoubleResultantPackage| |DrawComplex| |EigenPackage| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |EqTable| |Equation| |EuclideanDomain&| |EuclideanModularRing| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToUnivariatePowerSeries| |ExtAlgBasis| |ExtensibleLinearAggregate&| |ExtensionField&| |Factored| |FactoredFunctionUtilities| |FactoredFunctions| |FactoringUtilities| |FactorisationOverPseudoAlgebraicClosureOfAlgExtOfRationalNumber| |FactorisationOverPseudoAlgebraicClosureOfRationalNumber| |Field&| |FieldOfPrimeCharacteristic&| |FindOrderFinite| |FiniteAbelianMonoidRing&| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFactorizationWithSizeParseBySideEffect| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteFieldSolveLinearPolynomialEquation| |FiniteFieldSquareFreeDecomposition| |FiniteLinearAggregateFunctions2| |FiniteLinearAggregateSort| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FortranExpression| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FramedAlgebra&| |FramedModule| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |GcdDomain&| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialGcdPackage| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GosperSummationMethod| |GraphImage| |GrayCode| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerSolve| |Group&| |Guess| |GuessOption| |GuessOptionFunctions0| |HallBasis| |HashTable| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfiniteProductFiniteField| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgFactor| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerMatrixLinearAlgebraFunctions| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerNumericEigenPackage| |InnerNumericFloatSolvePackage| |InnerPAdicInteger| |InnerPolySign| |InnerPolySum| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRoots| |IntegerSolveLinearPolynomialEquation| |IntegralBasisPolynomialTools| |IntegralBasisTools| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InterfaceGroebnerPackage| |InternalRationalUnivariateRepresentationPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrrRepSymNatPackage| |IrredPolyOverFiniteField| |Kernel| |KernelFunctions2| |KeyedAccessFile| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LazyStreamAggregate&| |LeadingCoefDetermination| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinGroebnerPackage| |LinearAggregate&| |LinearDependence| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorCategory&| |LinearOrdinaryDifferentialOperatorFactorizer| |LinearOrdinaryDifferentialOperatorsOps| |LinearPolynomialEquationByFractions| |LinearSystemFromPowerSeriesPackage| |LinearSystemMatrixPackage| |LinearSystemMatrixPackage1| |LinearSystemPolynomialPackage| |LinesOpPack| |List| |ListAggregate&| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MPolyCatFunctions2| |MPolyCatFunctions3| |MPolyCatRationalFunctionFactorizer| |MachineComplex| |MachineFloat| |MachineInteger| |MakeCachableSet| |MappingPackage1| |MappingPackageInternalHacks1| |Matrix| |MatrixCategory&| |MatrixCategoryFunctions2| |MatrixLinearAlgebraFunctions| |ModMonic| |ModularDistinctDegreeFactorizer| |ModularField| |ModularHermitianRowReduction| |ModularRing| |Module&| |ModuleOperator| |MoebiusTransform| |MonadWithUnit&| |MonogenicAlgebra&| |Monoid&| |MonoidRing| |MonomialExtensionTools| |MultFiniteFactorize| |MultiVariableCalculusFunctions| |Multiset| |MultivariateLifting| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NPCoef| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NewtonInterpolation| |NewtonPolygon| |NonCommutativeOperatorDivision| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |NormInMonogenicAlgebra| |NormRetractPackage| |NormalizationPackage| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |NumberTheoreticPolynomialFunctions| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |ODETools| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |Operator| |OppositeMonogenicLinearOperator| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OrthogonalPolynomialFunctions| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PAdicWildFunctionFieldIntegralBasis| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |PadeApproximantPackage| |PadeApproximants| |ParametricLinearEquations| |ParametricPlaneCurve| |ParametricPlaneCurveFunctions2| |ParametricSpaceCurve| |ParametricSpaceCurveFunctions2| |ParametricSurface| |ParametricSurfaceFunctions2| |ParametrizationPackage| |PartialDifferentialRing&| |PartialFraction| |Partition| |Pattern| |PatternFunctions2| |PatternMatchIntegerNumberSystem| |PatternMatchIntegration| |PatternMatchPushDown| |PatternMatchTools| |PendantTree| |Permanent| |Permutation| |PermutationGroup| |Pi| |PlaneAlgebraicCurvePlot| |PoincareBirkhoffWittLyndonBasis| |Point| |PointPackage| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |Polynomial| |PolynomialCategory&| |PolynomialCategoryLifting| |PolynomialComposition| |PolynomialDecomposition| |PolynomialFactorizationByRecursion| |PolynomialFactorizationByRecursionUnivariate| |PolynomialGcdPackage| |PolynomialIdeals| |PolynomialInterpolationAlgorithms| |PolynomialNumberTheoryFunctions| |PolynomialPackageForCurve| |PolynomialRing| |PolynomialRoots| |PolynomialSetUtilitiesPackage| |PolynomialSolveByFormulas| |PolynomialSquareFree| |PositiveInteger| |PowerSeriesCategory&| |PrecomputedAssociatedEquations| |PrimeField| |PrimitiveArray| |PrimitiveElement| |PrimitiveRatDE| |PrimitiveRatRicDE| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoLinearNormalForm| |PseudoRemainderSequence| |PureAlgebraicIntegration| |PushVariables| |QuadraticForm| |QuasiAlgebraicSet| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |Queue| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomDistributions| |RandomFloatDistributions| |RandomIntegerDistributions| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalInterpolation| |RationalLODE| |RationalRicDE| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealPolynomialUtilitiesPackage| |RealRootCharacterizationCategory&| |RealZeroPackage| |RectangularMatrix| |RectangularMatrixCategory&| |RectangularMatrixCategoryFunctions2| |RecurrenceOperator| |RecursivePolynomialCategory&| |ReduceLODE| |ReducedDivisor| |ReductionOfOrder| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |RegularTriangularSetGcdPackage| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RetractSolvePackage| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RootsFindingPackage| |RoutinesTable| |SExpressionOf| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SmithNormalForm| |SortPackage| |SortedCache| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |SquareMatrixCategory&| |Stack| |StorageEfficientMatrixOperations| |Stream| |StreamAggregate&| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |String| |StringAggregate&| |StringTable| |StructuralConstantsPackage| |SturmHabichtPackage| |SubResultantPackage| |SubSpace| |Symbol| |SymmetricFunctions| |SymmetricGroupCombinatoricFunctions| |SymmetricPolynomial| |SystemODESolver| |SystemSolvePackage| |Table| |TableAggregate&| |Tableau| |TabulatedComputationPackage| |TangentExpansions| |TaylorSeries| |TaylorSolve| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TransSolvePackage| |TransSolvePackageService| |TranscendentalHermiteIntegration| |TranscendentalIntegration| |TranscendentalManipulations| |TranscendentalRischDE| |TranscendentalRischDESystem| |Tree| |TriangularMatrixOperations| |TriangularSetCategory&| |TubePlotTools| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |U32Vector| |UTSodetools| |UnaryRecursiveAggregate&| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePolynomialCategoryFunctions2| |UnivariatePolynomialDecompositionPackage| |UnivariatePolynomialDivisionPackage| |UnivariatePolynomialMultiplicationPackage| |UnivariatePolynomialSquareFree| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateSkewPolynomialCategoryOps| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |Vector| |VectorCategory&| |ViewDefaultsPackage| |WeierstrassPreparation| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XExponentialPackage| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01aqfAnnaType| |d01fcfAnnaType| |d02AgentsPackage| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|AlgebraicFunction| |Any| |AnyFunctions1| |BasicOperator| |BasicOperatorFunctions1| |CombinatorialFunction| |CommonOperators| |FunctionSpace&| |FunctionSpaceAttachPredicates| |FunctionalSpecialFunction| |LaplaceTransform| |LiouvillianFunction| |ModuleOperator| |NoneFunctions1| |RecurrenceOperator|)
 (|AnyFunctions1| |ModuleOperator|)
 (|InternalRationalUnivariateRepresentationPackage| |LazardSetSolvingPackage| |LexTriangularPackage| |RationalUnivariateRepresentationPackage| |ZeroDimensionalSolvePackage|)
@@ -397,7 +397,7 @@
 (|AffineAlgebraicSetComputeWithGroebnerBasis| |DesingTreePackage| |DistributedMultivariatePolynomial| |FGLMIfCanPackage| |GeneralDistributedMultivariatePolynomial| |GroebnerSolve| |Guess| |HomogeneousDistributedMultivariatePolynomial| |IdealDecompositionPackage| |InterpolateFormsPackage| |LexTriangularPackage| |LinGroebnerPackage| |LocalParametrizationOfSimplePointPackage| |MultivariatePolynomial| |PolToPol| |ProjectiveAlgebraicSetPackage| |QuasiAlgebraicSet2| |RationalUnivariateRepresentationPackage| |RegularChain| |ZeroDimensionalSolvePackage|)
 (|FullPartialFractionExpansion|)
 (|FullPartialFractionExpansion| |LinearOrdinaryDifferentialOperatorsOps| |OrderlyDifferentialPolynomial|)
-(|AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |Algebra&| |AlgebraGivenByStructuralConstants| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicNumber| |AnonymousFunction| |AntiSymm| |Any| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |BalancedBinaryTree| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BinaryExpansion| |BinaryFile| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |CRApackage| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexRootFindingPackage| |ContinuedFraction| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |DictionaryOperations&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawOption| |ElementaryFunctionODESolver| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |EqTable| |Equation| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |Exit| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionToOpenMath| |ExtAlgBasis| |Factored| |File| |FileName| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FortranCode| |FortranExpression| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionalIdeal| |FramedModule| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |FunctionSpace&| |GaloisGroupFactorizationUtilities| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GraphImage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |Guess| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexCard| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfiniteTuple| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InputForm| |Integer| |IntegerMod| |IntegrationResult| |InternalRationalUnivariateRepresentationPackage| |IntersectionDivisorPackage| |Interval| |Kernel| |KeyedAccessFile| |LaurentPolynomial| |LeftAlgebra&| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LiouvillianFunction| |List| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MathMLFormat| |Matrix| |MatrixCategory&| |ModMonic| |ModularField| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonoidRing| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonAssociativeRing&| |NonNegativeInteger| |None| |NormalizationPackage| |NottinghamGroup| |NumberFormats| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalOrdinaryDifferentialEquations| |NumericalPDEProblem| |NumericalQuadrature| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |Palette| |PartialFraction| |Partition| |Pattern| |PatternMatchListResult| |PatternMatchResult| |PendantTree| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PoincareBirkhoffWittLyndonBasis| |Point| |Polynomial| |PolynomialIdeals| |PolynomialRing| |PositiveInteger| |PrimeField| |PrimitiveArray| |PrintPackage| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |QuadraticForm| |QuasiAlgebraicSet| |Quaternion| |QuaternionCategory&| |QueryEquation| |Queue| |QuotientFieldCategory&| |RadicalFunctionField| |RadixExpansion| |RationalInterpolation| |RationalUnivariateRepresentationPackage| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealZeroPackage| |RectangularMatrix| |RecurrenceOperator| |RecursivePolynomialCategory&| |Reference| |RegularChain| |RegularTriangularSet| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RewriteRule| |RightOpenIntervalRootCharacterization| |Ring&| |RomanNumeral| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |ScriptFormulaFormat1| |Segment| |SegmentBinding| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SimpleFortranProgram| |SingleInteger| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SpecialOutputPackage| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareMatrix| |SquareMatrixCategory&| |Stack| |Stream| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringAggregate&| |StringTable| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |Switch| |Symbol| |SymbolTable| |SymmetricPolynomial| |Table| |TableAggregate&| |Tableau| |TabulatedComputationPackage| |TaylorSeries| |TaylorSolve| |TexFormat| |TexFormat1| |TextFile| |TheSymbolTable| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |TopLevelDrawFunctionsForCompiledFunctions| |Tree| |TriangularSetCategory&| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalViewport| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UniversalSegment| |Variable| |Vector| |Void| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |d03fafAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |Algebra&| |AlgebraGivenByStructuralConstants| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicNumber| |AnonymousFunction| |AntiSymm| |Any| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |BalancedBinaryTree| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BasicStochasticDifferential| |BinaryExpansion| |BinaryFile| |BinaryRecursiveAggregate&| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpPackage| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |CRApackage| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexRootFindingPackage| |ContinuedFraction| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DesingTreePackage| |DictionaryOperations&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DifferentialVariableCategory&| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawOption| |ElementaryFunctionODESolver| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |EqTable| |Equation| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |Exit| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionToOpenMath| |ExtAlgBasis| |Factored| |File| |FileName| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |FlexibleArray| |Float| |FortranCode| |FortranExpression| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionalIdeal| |FramedModule| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |FunctionSpace&| |GaloisGroupFactorizationUtilities| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GraphImage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |Guess| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousAggregate&| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexCard| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfiniteTuple| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InputForm| |Integer| |IntegerMod| |IntegrationResult| |InternalRationalUnivariateRepresentationPackage| |IntersectionDivisorPackage| |Interval| |Kernel| |KeyedAccessFile| |LaurentPolynomial| |LeftAlgebra&| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LiouvillianFunction| |List| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MathMLFormat| |Matrix| |MatrixCategory&| |ModMonic| |ModularField| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonoidRing| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonAssociativeRing&| |NonNegativeInteger| |None| |NormalizationPackage| |NottinghamGroup| |NumberFormats| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalOrdinaryDifferentialEquations| |NumericalPDEProblem| |NumericalQuadrature| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OneDimensionalArrayAggregate&| |OnePointCompletion| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |Palette| |PartialFraction| |Partition| |Pattern| |PatternMatchListResult| |PatternMatchResult| |PendantTree| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PoincareBirkhoffWittLyndonBasis| |Point| |Polynomial| |PolynomialIdeals| |PolynomialRing| |PositiveInteger| |PrimeField| |PrimitiveArray| |PrintPackage| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |QuadraticForm| |QuasiAlgebraicSet| |Quaternion| |QuaternionCategory&| |QueryEquation| |Queue| |QuotientFieldCategory&| |RadicalFunctionField| |RadixExpansion| |RationalInterpolation| |RationalUnivariateRepresentationPackage| |RealClosedField&| |RealClosure| |RealNumberSystem&| |RealZeroPackage| |RectangularMatrix| |RecurrenceOperator| |RecursivePolynomialCategory&| |Reference| |RegularChain| |RegularTriangularSet| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |Result| |RewriteRule| |RightOpenIntervalRootCharacterization| |Ring&| |RomanNumeral| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |ScriptFormulaFormat1| |Segment| |SegmentBinding| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SimpleFortranProgram| |SingleInteger| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SpecialOutputPackage| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareMatrix| |SquareMatrixCategory&| |Stack| |Stream| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringAggregate&| |StringTable| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |Switch| |Symbol| |SymbolTable| |SymmetricPolynomial| |Table| |TableAggregate&| |Tableau| |TabulatedComputationPackage| |TaylorSeries| |TaylorSolve| |TexFormat| |TexFormat1| |TextFile| |TheSymbolTable| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |TopLevelDrawFunctionsForCompiledFunctions| |Tree| |TriangularSetCategory&| |Tuple| |TwoDimensionalArray| |TwoDimensionalArrayCategory&| |TwoDimensionalViewport| |U32Vector| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UniversalSegment| |Variable| |Vector| |Void| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |d03fafAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|DirichletRing| |GenUFactorize| |Guess| |IndexCard| |InternalRationalUnivariateRepresentationPackage| |NormalizationPackage| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |RationalInterpolation| |RationalUnivariateRepresentationPackage| |SparseUnivariatePolynomialExpressions| |TabulatedComputationPackage| |TaylorSolve| |ZeroDimensionalSolvePackage|)
 (|PAdicRational|)
 (|BalancedPAdicRational| |PAdicRational|)
@@ -460,7 +460,7 @@
 (|InternalRationalUnivariateRepresentationPackage| |LazardSetSolvingPackage| |QuasiComponentPackage| |RationalUnivariateRepresentationPackage| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetCategory&| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |WuWenTsunTriangularSet| |ZeroDimensionalSolvePackage|)
 (|RadicalSolvePackage|)
 (|PolynomialCategory&|)
-(|AbelianGroup&| |AbelianMonoid&| |AbelianMonoidRing&| |AbelianSemiGroup&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicNumber| |AlgebraicallyClosedField&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |ApplyRules| |Asp19| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AttributeButtons| |Automorphism| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |Bezier| |BinaryExpansion| |BlowUpPackage| |Boolean| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |Complex| |ComplexCategory&| |ComplexRootFindingPackage| |ConstantLODE| |ContinuedFraction| |CoordinateSystems| |CycleIndicators| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DesingTreePackage| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatSpecialFunctions| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |ElementaryFunction| |ElementaryFunctionLODESolver| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |EllipticFunctionsUnivariateTaylorSeries| |Equation| |EuclideanModularRing| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionTubePlot| |Factored| |FactoringUtilities| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteLinearAggregateSort| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |Float| |FloatingPointSystem&| |FortranExpression| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FramedAlgebra&| |FramedModule| |FramedNonAssociativeAlgebra&| |FramedNonAssociativeAlgebraFunctions2| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceIntegration| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GnuDraw| |GraphImage| |GrayCode| |Group&| |Guess| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |InnerTrigonometricManipulations| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRoots| |IntegralBasisTools| |IntegrationResult| |IntegrationResultToFunction| |InterfaceGroebnerPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrredPolyOverFiniteField| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorFactorizer| |LiouvillianFunction| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularField| |ModularRing| |Module&| |ModuleOperator| |MoebiusTransform| |Monad&| |MonadWithUnit&| |MonogenicAlgebra&| |Monoid&| |MonoidRing| |MultFiniteFactorize| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NagEigenPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonAssociativeAlgebra&| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |Numeric| |NumericTubePlot| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |Octonion| |OctonionCategory&| |OnePointCompletion| |Operator| |OppositeMonogenicLinearOperator| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OrthogonalPolynomialFunctions| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PAdicWildFunctionFieldIntegralBasis| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |ParametricLinearEquations| |PartialFraction| |Partition| |PatternMatchIntegration| |Permanent| |Permutation| |PermutationGroupExamples| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PoincareBirkhoffWittLyndonBasis| |Point| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |Polynomial| |PolynomialFactorizationByRecursion| |PolynomialGcdPackage| |PolynomialNumberTheoryFunctions| |PolynomialRing| |PolynomialSolveByFormulas| |PositiveInteger| |PowerSeriesCategory&| |PrecomputedAssociatedEquations| |PrimeField| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoRemainderSequence| |PureAlgebraicIntegration| |QuadraticForm| |Quaternion| |QuaternionCategory&| |QuotientFieldCategory&| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomFloatDistributions| |RandomIntegerDistributions| |RandomNumberSource| |RealClosedField&| |RealClosure| |RealRootCharacterizationCategory&| |RealZeroPackage| |RectangularMatrix| |RecursivePolynomialCategory&| |ReduceLODE| |RegularTriangularSetCategory&| |RepeatedDoubling| |RepeatedSquaring| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| |Ruleset| |SemiGroup&| |SequentialDifferentialPolynomial| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SmithNormalForm| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SquareMatrix| |SquareMatrixCategory&| |StreamTranscendentalFunctions| |SturmHabichtPackage| |SubSpace| |SymmetricFunctions| |SymmetricPolynomial| |TangentExpansions| |TaylorSeries| |TaylorSolve| |ThreeDimensionalViewport| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TransSolvePackage| |TranscendentalFunctionCategory&| |TranscendentalIntegration| |TranscendentalManipulations| |TubePlotTools| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialMultiplicationPackage| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |ViewDefaultsPackage| |ViewportPackage| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |d01AgentsPackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AbelianGroup&| |AbelianMonoid&| |AbelianMonoidRing&| |AbelianSemiGroup&| |AffineAlgebraicSetComputeWithGroebnerBasis| |AffineAlgebraicSetComputeWithResultant| |AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraGivenByStructuralConstants| |AlgebraPackage| |AlgebraicFunctionField| |AlgebraicHermiteIntegration| |AlgebraicNumber| |AlgebraicallyClosedField&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |ApplyRules| |Asp19| |AssociatedEquations| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AttributeButtons| |Automorphism| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |Bezier| |BinaryExpansion| |BlowUpPackage| |Boolean| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |Complex| |ComplexCategory&| |ComplexRootFindingPackage| |ConstantLODE| |ContinuedFraction| |CoordinateSystems| |CycleIndicators| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DegreeReductionPackage| |DesingTreePackage| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DistinctDegreeFactorize| |DistributedMultivariatePolynomial| |DivisionRing&| |Divisor| |DoubleFloat| |DoubleFloatSpecialFunctions| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |ElementaryFunction| |ElementaryFunctionLODESolver| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |EllipticFunctionsUnivariateTaylorSeries| |Equation| |EuclideanModularRing| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionTubePlot| |Factored| |FactoringUtilities| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFunctions| |FiniteFieldHomomorphisms| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteFieldPolynomialPackage| |FiniteFieldPolynomialPackage2| |FiniteLinearAggregateSort| |FiniteRankAlgebra&| |FiniteRankNonAssociativeAlgebra&| |FiniteSetAggregate&| |Float| |FloatingPointSystem&| |FortranExpression| |FourierSeries| |Fraction| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |FractionalIdeal| |FramedAlgebra&| |FramedModule| |FramedNonAssociativeAlgebra&| |FramedNonAssociativeAlgebraFunctions2| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FunctionFieldCategory&| |FunctionFieldIntegralBasis| |FunctionSpace&| |FunctionSpaceIntegration| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionalSpecialFunction| |GaloisGroupFactorizationUtilities| |GaloisGroupFactorizer| |GaloisGroupPolynomialUtilities| |GaloisGroupUtilities| |GaussianFactorizationPackage| |GenExEuclid| |GeneralDistributedMultivariatePolynomial| |GeneralHenselPackage| |GeneralModulePolynomial| |GeneralPackageForAlgebraicFunctionField| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |GnuDraw| |GraphImage| |GrayCode| |Group&| |Guess| |GuessOptionFunctions0| |Heap| |HeuGcd| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerModularGcd| |InnerMultFact| |InnerNormalBasisFieldFunctions| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |InnerTrigonometricManipulations| |Integer| |IntegerCombinatoricFunctions| |IntegerFactorizationPackage| |IntegerMod| |IntegerNumberSystem&| |IntegerNumberTheoryFunctions| |IntegerPrimesPackage| |IntegerRoots| |IntegralBasisTools| |IntegrationResult| |IntegrationResultToFunction| |InterfaceGroebnerPackage| |InterpolateFormsPackage| |IntersectionDivisorPackage| |Interval| |InverseLaplaceTransform| |IrredPolyOverFiniteField| |Kovacic| |LaplaceTransform| |LaurentPolynomial| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LinearOrdinaryDifferentialOperatorFactorizer| |LiouvillianFunction| |LocalAlgebra| |LocalParametrizationOfSimplePointPackage| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MeshCreationRoutinesForThreeDimensions| |ModMonic| |ModularField| |ModularRing| |Module&| |ModuleOperator| |MoebiusTransform| |Monad&| |MonadWithUnit&| |MonogenicAlgebra&| |Monoid&| |MonoidRing| |MultFiniteFactorize| |MultivariatePolynomial| |MultivariateSquareFree| |MyExpression| |MyUnivariatePolynomial| |NagEigenPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonAssociativeAlgebra&| |NonLinearFirstOrderODESolver| |NonNegativeInteger| |NottinghamGroup| |NumberFieldIntegralBasis| |NumberFormats| |Numeric| |NumericTubePlot| |NumericalOrdinaryDifferentialEquations| |NumericalQuadrature| |Octonion| |OctonionCategory&| |OnePointCompletion| |Operator| |OppositeMonogenicLinearOperator| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OrthogonalPolynomialFunctions| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |PAdicWildFunctionFieldIntegralBasis| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField| |PackageForPoly| |ParametricLinearEquations| |PartialFraction| |Partition| |PatternMatchIntegration| |Permanent| |Permutation| |PermutationGroupExamples| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |Plot| |Plot3D| |PoincareBirkhoffWittLyndonBasis| |Point| |PointsOfFiniteOrder| |PointsOfFiniteOrderRational| |PointsOfFiniteOrderTools| |Polynomial| |PolynomialFactorizationByRecursion| |PolynomialGcdPackage| |PolynomialNumberTheoryFunctions| |PolynomialRing| |PolynomialSolveByFormulas| |PositiveInteger| |PowerSeriesCategory&| |PrecomputedAssociatedEquations| |PrimeField| |Product| |ProjectiveAlgebraicSetPackage| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PseudoRemainderSequence| |PureAlgebraicIntegration| |QuadraticForm| |Quaternion| |QuaternionCategory&| |QuotientFieldCategory&| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RandomFloatDistributions| |RandomIntegerDistributions| |RandomNumberSource| |RealClosedField&| |RealClosure| |RealRootCharacterizationCategory&| |RealZeroPackage| |RectangularMatrix| |RecursivePolynomialCategory&| |ReduceLODE| |RegularTriangularSetCategory&| |RepeatedDoubling| |RepeatedSquaring| |RepresentationPackage1| |RepresentationPackage2| |ResidueRing| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| |Ruleset| |SemiGroup&| |SequentialDifferentialPolynomial| |Set| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SmithNormalForm| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SquareMatrix| |SquareMatrixCategory&| |StreamTranscendentalFunctions| |SturmHabichtPackage| |SubSpace| |SymmetricFunctions| |SymmetricPolynomial| |TangentExpansions| |TaylorSeries| |TaylorSolve| |ThreeDimensionalViewport| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TransSolvePackage| |TranscendentalFunctionCategory&| |TranscendentalIntegration| |TranscendentalManipulations| |TubePlotTools| |TwoDimensionalPlotClipping| |TwoDimensionalViewport| |TwoFactorize| |UnivariateFactorize| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialMultiplicationPackage| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateSkewPolynomialCategory&| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |ViewDefaultsPackage| |ViewportPackage| |WeightedPolynomials| |WildFunctionFieldIntegralBasis| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |d01AgentsPackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02AgentsPackage| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03AgentsPackage| |d03eefAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|DefiniteIntegrationTools| |ElementaryFunctionSign| |LaplaceTransform| |d01AgentsPackage|)
 (|AssociatedEquations|)
 (|FiniteField| |FiniteFieldCyclicGroup| |FiniteFieldNormalBasis| |InterfaceGroebnerPackage|)
@@ -526,9 +526,9 @@
 (|DrawNumericHack| |RationalFunctionSum|)
 (|SegmentBindingFunctions2| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions|)
 (|SequentialDifferentialPolynomial|)
-(|ApplicationProgramInterface| |BasicOperator| |ExpressionSpace&| |Factored| |GaloisGroupFactorizer| |GeneralPolynomialSet| |IntegerPrimesPackage| |ModularHermitianRowReduction| |MonoidRing| |ParametricLinearEquations| |Pattern| |Permutation| |PermutationGroup| |PolynomialSetCategory&| |QuasiAlgebraicSet| |RandomDistributions| |SymmetricGroupCombinatoricFunctions| |ThreeDimensionalViewport| |ThreeSpace|)
+(|ApplicationProgramInterface| |BasicOperator| |BasicStochasticDifferential| |ExpressionSpace&| |Factored| |GaloisGroupFactorizer| |GeneralPolynomialSet| |IntegerPrimesPackage| |ModularHermitianRowReduction| |MonoidRing| |ParametricLinearEquations| |Pattern| |Permutation| |PermutationGroup| |PolynomialSetCategory&| |QuasiAlgebraicSet| |RandomDistributions| |SymmetricGroupCombinatoricFunctions| |ThreeDimensionalViewport| |ThreeSpace|)
 (|AlgebraicFunctionField| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtensionByPolynomial| |RadicalFunctionField|)
-(|AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraGivenByStructuralConstants| |AlgebraicFunctionField| |AlgebraicNumber| |AnonymousFunction| |AntiSymm| |Any| |ArrayStack| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |BalancedBinaryTree| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BinaryExpansion| |BinaryFile| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlasLevelOne| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |Commutator| |Complex| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexRootFindingPackage| |ContinuedFraction| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawOption| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionSign| |EqTable| |Equation| |EuclideanModularRing| |Exit| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExtAlgBasis| |Factored| |File| |FileName| |FiniteDivisor| |FiniteField| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFunctions| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FlexibleArray| |Float| |FortranCode| |FortranExpression| |FortranProgram| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionalIdeal| |FramedModule| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GraphImage| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexCard| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerNormalBasisFieldFunctions| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InputForm| |Integer| |IntegerMod| |IntegrationResult| |Interval| |Kernel| |KeyedAccessFile| |LaurentPolynomial| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |List| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MathMLFormat| |Matrix| |MatrixLinearAlgebraFunctions| |ModMonic| |ModularField| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonoidRing| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonNegativeInteger| |None| |NottinghamGroup| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalPDEProblem| |NumericalQuadrature| |Octonion| |OneDimensionalArray| |OnePointCompletion| |OpenMathConnection| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathServerPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedCompletionFunctions2| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |Palette| |PartialFraction| |Partition| |Pattern| |PatternMatchIntegration| |PatternMatchListResult| |PatternMatchResult| |PendantTree| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |Plcs| |PoincareBirkhoffWittLyndonBasis| |Point| |Polynomial| |PolynomialIdeals| |PolynomialRing| |PositiveInteger| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveArray| |Product| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |QuadraticForm| |QuasiAlgebraicSet| |Quaternion| |Queue| |RadicalFunctionField| |RadixExpansion| |RandomDistributions| |RationalFunctionLimitPackage| |RationalFunctionSign| |RealClosure| |RectangularMatrix| |Reference| |RegularChain| |RegularTriangularSet| |ResidueRing| |Result| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentBinding| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetCategory&| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareMatrix| |Stack| |Stream| |String| |StringTable| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |Symbol| |SymmetricPolynomial| |Table| |TaylorSeries| |TexFormat| |TextFile| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |Tree| |Tuple| |TwoDimensionalArray| |TwoDimensionalViewport| |UTSodetools| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UniversalSegment| |Variable| |Vector| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |d01AgentsPackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03eefAnnaType| |d03fafAnnaType| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraGivenByStructuralConstants| |AlgebraicFunctionField| |AlgebraicNumber| |AnonymousFunction| |AntiSymm| |Any| |ArrayStack| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |BalancedBinaryTree| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicStochasticDifferential| |BinaryExpansion| |BinaryFile| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlasLevelOne| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |Commutator| |Complex| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexRootFindingPackage| |ContinuedFraction| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawOption| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionSign| |EqTable| |Equation| |EuclideanModularRing| |Exit| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExtAlgBasis| |Factored| |File| |FileName| |FiniteDivisor| |FiniteField| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldFunctions| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FlexibleArray| |Float| |FortranCode| |FortranExpression| |FortranProgram| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionalIdeal| |FramedModule| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GraphImage| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexCard| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerNormalBasisFieldFunctions| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InputForm| |Integer| |IntegerMod| |IntegrationResult| |Interval| |Kernel| |KeyedAccessFile| |LaurentPolynomial| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |List| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MathMLFormat| |Matrix| |MatrixLinearAlgebraFunctions| |ModMonic| |ModularField| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonoidRing| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonNegativeInteger| |None| |NottinghamGroup| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalPDEProblem| |NumericalQuadrature| |Octonion| |OneDimensionalArray| |OnePointCompletion| |OpenMathConnection| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathServerPackage| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedCompletionFunctions2| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |Palette| |PartialFraction| |Partition| |Pattern| |PatternMatchIntegration| |PatternMatchListResult| |PatternMatchResult| |PendantTree| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |Plcs| |PoincareBirkhoffWittLyndonBasis| |Point| |Polynomial| |PolynomialIdeals| |PolynomialRing| |PositiveInteger| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveArray| |Product| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |QuadraticForm| |QuasiAlgebraicSet| |Quaternion| |Queue| |RadicalFunctionField| |RadixExpansion| |RandomDistributions| |RationalFunctionLimitPackage| |RationalFunctionSign| |RealClosure| |RectangularMatrix| |Reference| |RegularChain| |RegularTriangularSet| |ResidueRing| |Result| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentBinding| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetCategory&| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeRegularTriangularSet| |SquareMatrix| |Stack| |Stream| |String| |StringTable| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |Symbol| |SymmetricPolynomial| |Table| |TaylorSeries| |TexFormat| |TextFile| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |Tree| |Tuple| |TwoDimensionalArray| |TwoDimensionalViewport| |U32Vector| |UTSodetools| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UniversalSegment| |Variable| |Vector| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |d01AgentsPackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03eefAnnaType| |d03fafAnnaType| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|ExponentialOfUnivariatePuiseuxSeries| |GeneralUnivariatePowerSeries| |InnerSparseUnivariatePowerSeries| |ModMonic| |MultivariateSquareFree| |MyUnivariatePolynomial| |NeitherSparseOrDensePowerSeries| |NewSparseUnivariatePolynomial| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateTaylorSeries| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePolynomialCategory&| |UnivariatePowerSeriesCategory&| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero|)
 (|TranscendentalRischDESystem|)
 (|Kernel| |MakeCachableSet|)
@@ -549,7 +549,7 @@
 (|AlgebraGivenByStructuralConstants| |CartesianTensor| |GenericNonAssociativeAlgebra| |LieSquareMatrix| |Permanent| |QuadraticForm|)
 (|FortranOutputStackPackage| |Queue|)
 (|Matrix|)
-(|BalancedPAdicInteger| |BasicFunctions| |ContinuedFraction| |CycleIndicators| |DirichletRing| |ElementaryFunctionsUnivariateLaurentSeries| |EllipticFunctionsUnivariateTaylorSeries| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialOfUnivariatePuiseuxSeries| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |Guess| |InfiniteProductCharacteristicZero| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InfiniteTuple| |InfiniteTupleFunctions2| |InfiniteTupleFunctions3| |InnerPAdicInteger| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |LinearSystemFromPowerSeriesPackage| |NeitherSparseOrDensePowerSeries| |NumericContinuedFraction| |PAdicInteger| |PAdicRationalConstructor| |PadeApproximants| |ParadoxicalCombinatorsForStreams| |PartitionsAndPermutations| |RadixExpansion| |SparseMultivariateTaylorSeries| |SparseUnivariateLaurentSeries| |SparseUnivariatePuiseuxSeries| |SparseUnivariateTaylorSeries| |Stream| |StreamFunctions1| |StreamFunctions2| |StreamFunctions3| |StreamInfiniteProduct| |StreamTaylorSeriesOperations| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |TableauxBumpers| |TaylorSolve| |UnivariateFormalPowerSeries| |UnivariateFormalPowerSeriesFunctions| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesFunctions2| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |UniversalSegmentFunctions2| |WeierstrassPreparation| |d01AgentsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01aqfAnnaType| |e04gcfAnnaType|)
+(|BalancedPAdicInteger| |BasicFunctions| |ContinuedFraction| |CycleIndicators| |DirichletRing| |ElementaryFunctionsUnivariateLaurentSeries| |EllipticFunctionsUnivariateTaylorSeries| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialOfUnivariatePuiseuxSeries| |FractionFreeFastGaussian| |FractionFreeFastGaussianFractions| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |Guess| |InfiniteProductCharacteristicZero| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InfiniteTuple| |InfiniteTupleFunctions2| |InfiniteTupleFunctions3| |InnerPAdicInteger| |InnerSparseUnivariatePowerSeries| |InnerTaylorSeries| |LinearSystemFromPowerSeriesPackage| |NeitherSparseOrDensePowerSeries| |NumericContinuedFraction| |PAdicInteger| |PAdicRationalConstructor| |PadeApproximants| |ParadoxicalCombinatorsForStreams| |PartitionsAndPermutations| |RadixExpansion| |SparseMultivariateTaylorSeries| |SparseUnivariateLaurentSeries| |SparseUnivariatePuiseuxSeries| |SparseUnivariateTaylorSeries| |Stream| |StreamFunctions1| |StreamFunctions2| |StreamFunctions3| |StreamInfiniteProduct| |StreamTaylorSeriesOperations| |StreamTensor| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |TableauxBumpers| |TaylorSolve| |UnivariateFormalPowerSeries| |UnivariateFormalPowerSeriesFunctions| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesFunctions2| |UnivariateTaylorSeriesODESolver| |UniversalSegment| |UniversalSegmentFunctions2| |WeierstrassPreparation| |d01AgentsPackage| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01aqfAnnaType| |e04gcfAnnaType|)
 (|Guess| |PartitionsAndPermutations|)
 (|ContinuedFraction| |DirichletRing| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |FractionFreeFastGaussian| |Guess| |InfiniteProductFiniteField| |InfiniteProductPrimeField| |InfiniteTupleFunctions2| |PartitionsAndPermutations| |SparseMultivariateTaylorSeries| |Stream| |StreamFunctions3| |StreamInfiniteProduct| |StreamTaylorSeriesOperations| |TableauxBumpers| |UnivariatePuiseuxSeriesConstructor| |UnivariateTaylorSeriesFunctions2| |UniversalSegmentFunctions2| |WeierstrassPreparation|)
 (|InfiniteTupleFunctions3| |PartitionsAndPermutations| |SparseMultivariateTaylorSeries| |Stream| |StreamTaylorSeriesOperations| |UnivariateFormalPowerSeriesFunctions| |WeierstrassPreparation|)
@@ -557,21 +557,21 @@
 (|DirichletRing| |EllipticFunctionsUnivariateTaylorSeries| |InfiniteProductFiniteField| |InnerTaylorSeries| |SparseMultivariateTaylorSeries| |StreamInfiniteProduct| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |UnivariateLaurentSeriesConstructor| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UnivariateTaylorSeriesCategory&| |UnivariateTaylorSeriesODESolver| |WeierstrassPreparation|)
 (|ElementaryFunctionsUnivariateLaurentSeries| |InfiniteProductFiniteField| |SparseMultivariateTaylorSeries| |StreamInfiniteProduct| |StreamTranscendentalFunctionsNonCommutative| |UnivariateTaylorSeriesCategory&|)
 (|UnivariateTaylorSeriesCategory&|)
-(|AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraGivenByStructuralConstants| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AnonymousFunction| |AntiSymm| |Any| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |AxiomServer| |BalancedBinaryTree| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BinaryExpansion| |BinaryFile| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexPattern| |ComplexPatternMatch| |ComplexRootFindingPackage| |ComplexTrigonometricManipulations| |ContinuedFraction| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DictionaryOperations&| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DisplayPackage| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |EqTable| |Equation| |ErrorFunctions| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |Exit| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceFunctions1| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionTubePlot| |ExtAlgBasis| |Factored| |File| |FileName| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteRankNonAssociativeAlgebra&| |FlexibleArray| |Float| |FortranCode| |FortranCodePackage1| |FortranExpression| |FortranOutputStackPackage| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionalIdeal| |FramedModule| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |FunctionFieldCategory&| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceAttachPredicates| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionalSpecialFunction| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GnuDraw| |GraphImage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |Guess| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexCard| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |InputFormFunctions1| |Integer| |IntegerMod| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InternalPrintPackage| |InternalRationalUnivariateRepresentationPackage| |Interval| |Kernel| |KeyedAccessFile| |LaplaceTransform| |LaurentPolynomial| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LiouvillianFunction| |List| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MakeFloatCompiledFunction| |MathMLFormat| |Matrix| |ModMonic| |ModularField| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonoidRing| |MoreSystemCommands| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonNegativeInteger| |None| |NormalizationPackage| |NottinghamGroup| |NumberFormats| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalOrdinaryDifferentialEquations| |NumericalPDEProblem| |NumericalQuadrature| |ODEIntegration| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OnePointCompletion| |OpenMathConnection| |OpenMathDevice| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathPackage| |OpenMathServerPackage| |OperationsQuery| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |Palette| |ParametricLinearEquations| |PartialFraction| |Partition| |Pattern| |PatternMatchAssertions| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchListResult| |PatternMatchResult| |PendantTree| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |PoincareBirkhoffWittLyndonBasis| |Point| |PointsOfFiniteOrder| |Polynomial| |PolynomialIdeals| |PolynomialRing| |PositiveInteger| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveArray| |Product| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PureAlgebraicIntegration| |QuadraticForm| |QuasiAlgebraicSet| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |QueryEquation| |Queue| |RadicalFunctionField| |RadixExpansion| |RationalFunctionDefiniteIntegration| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalUnivariateRepresentationPackage| |RealClosure| |RectangularMatrix| |RecurrenceOperator| |RecursivePolynomialCategory&| |Reference| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetGcdPackage| |RepresentationPackage2| |ResidueRing| |Result| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentBinding| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetCategory&| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SpecialOutputPackage| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |Stack| |Stream| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringTable| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |Switch| |Symbol| |SymbolTable| |SymmetricPolynomial| |Table| |Tableau| |TabulatedComputationPackage| |TaylorSeries| |TemplateUtilities| |TexFormat| |TextFile| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |ToolsForSign| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TransSolvePackage| |TranscendentalManipulations| |Tree| |TrigonometricManipulations| |Tuple| |TwoDimensionalArray| |TwoDimensionalViewport| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UniversalSegment| |Variable| |Vector| |ViewDefaultsPackage| |ViewportPackage| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03eefAnnaType| |d03fafAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
+(|AffinePlane| |AffinePlaneOverPseudoAlgebraicClosureOfFiniteField| |AffineSpace| |AlgebraGivenByStructuralConstants| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AnonymousFunction| |AntiSymm| |Any| |ArrayStack| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AssociatedJordanAlgebra| |AssociatedLieAlgebra| |AssociationList| |AttributeButtons| |Automorphism| |AxiomServer| |BalancedBinaryTree| |BalancedPAdicInteger| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BasicStochasticDifferential| |BinaryExpansion| |BinaryFile| |BinarySearchTree| |BinaryTournament| |BinaryTree| |Bits| |BlowUpWithHamburgerNoether| |BlowUpWithQuadTrans| |Boolean| |CardinalNumber| |CartesianTensor| |Character| |CharacterClass| |CliffordAlgebra| |Color| |CombinatorialFunction| |CommonOperators| |Commutator| |Complex| |ComplexCategory&| |ComplexDoubleFloatMatrix| |ComplexDoubleFloatVector| |ComplexPattern| |ComplexPatternMatch| |ComplexRootFindingPackage| |ComplexTrigonometricManipulations| |ContinuedFraction| |DataList| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DenavitHartenbergMatrix| |Dequeue| |DesingTree| |DictionaryOperations&| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductMatrixModule| |DirectProductModule| |DirichletRing| |DiscreteLogarithmPackage| |DisplayPackage| |DistributedMultivariatePolynomial| |Divisor| |DoubleFloat| |DoubleFloatMatrix| |DoubleFloatVector| |DrawComplex| |DrawOption| |DrawOptionFunctions0| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryFunctionsUnivariateLaurentSeries| |ElementaryFunctionsUnivariatePuiseuxSeries| |ElementaryIntegration| |ElementaryRischDE| |EqTable| |Equation| |ErrorFunctions| |EuclideanGroebnerBasisPackage| |EuclideanModularRing| |Exit| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Export3D| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceFunctions1| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionTubePlot| |ExtAlgBasis| |Factored| |File| |FileName| |FiniteAlgebraicExtensionField&| |FiniteDivisor| |FiniteField| |FiniteFieldCategory&| |FiniteFieldCyclicGroup| |FiniteFieldCyclicGroupExtension| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtension| |FiniteFieldExtensionByPolynomial| |FiniteFieldNormalBasis| |FiniteFieldNormalBasisExtension| |FiniteFieldNormalBasisExtensionByPolynomial| |FiniteRankNonAssociativeAlgebra&| |FlexibleArray| |Float| |FortranCode| |FortranCodePackage1| |FortranExpression| |FortranOutputStackPackage| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranTemplate| |FortranType| |FourierComponent| |FourierSeries| |Fraction| |FractionalIdeal| |FramedModule| |FramedNonAssociativeAlgebra&| |FreeAbelianGroup| |FreeAbelianMonoid| |FreeGroup| |FreeModule| |FreeModule1| |FreeMonoid| |FreeNilpotentLie| |FullPartialFractionExpansion| |FunctionCalled| |FunctionFieldCategory&| |FunctionSpace&| |FunctionSpaceAssertions| |FunctionSpaceAttachPredicates| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceReduce| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionalSpecialFunction| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralModulePolynomial| |GeneralPolynomialSet| |GeneralSparseTable| |GeneralTriangularSet| |GeneralUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GnuDraw| |GraphImage| |GroebnerFactorizationPackage| |GroebnerInternalPackage| |GroebnerPackage| |Guess| |GuessOption| |GuessOptionFunctions0| |HTMLFormat| |HashTable| |Heap| |HexadecimalExpansion| |HomogeneousDirectProduct| |HomogeneousDistributedMultivariatePolynomial| |HyperellipticFiniteDivisor| |IndexCard| |IndexedBits| |IndexedDirectProductAbelianGroup| |IndexedDirectProductAbelianMonoid| |IndexedDirectProductObject| |IndexedDirectProductOrderedAbelianMonoid| |IndexedDirectProductOrderedAbelianMonoidSup| |IndexedExponents| |IndexedFlexibleArray| |IndexedList| |IndexedMatrix| |IndexedOneDimensionalArray| |IndexedString| |IndexedTwoDimensionalArray| |IndexedVector| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerFiniteField| |InnerFreeAbelianMonoid| |InnerIndexedTwoDimensionalArray| |InnerPAdicInteger| |InnerPrimeField| |InnerSparseUnivariatePowerSeries| |InnerTable| |InnerTaylorSeries| |InnerTrigonometricManipulations| |InputForm| |InputFormFunctions1| |Integer| |IntegerMod| |IntegrationResult| |IntegrationResultToFunction| |IntegrationTools| |InternalPrintPackage| |InternalRationalUnivariateRepresentationPackage| |Interval| |Kernel| |KeyedAccessFile| |LaplaceTransform| |LaurentPolynomial| |Library| |LieExponentials| |LiePolynomial| |LieSquareMatrix| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperator1| |LinearOrdinaryDifferentialOperator2| |LiouvillianFunction| |List| |ListMonoidOps| |ListMultiDictionary| |LocalAlgebra| |Localize| |LyndonWord| |MachineComplex| |MachineFloat| |MachineInteger| |Magma| |MakeCachableSet| |MakeFloatCompiledFunction| |MathMLFormat| |Matrix| |ModMonic| |ModularField| |ModularRing| |ModuleMonomial| |ModuleOperator| |MoebiusTransform| |MonoidRing| |MoreSystemCommands| |Multiset| |MultivariatePolynomial| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseMultivariatePolynomial| |NewSparseUnivariatePolynomial| |NonNegativeInteger| |None| |NormalizationPackage| |NottinghamGroup| |NumberFormats| |NumericalIntegrationProblem| |NumericalODEProblem| |NumericalOptimizationProblem| |NumericalOrdinaryDifferentialEquations| |NumericalPDEProblem| |NumericalQuadrature| |ODEIntegration| |Octonion| |OctonionCategory&| |OneDimensionalArray| |OnePointCompletion| |OpenMathConnection| |OpenMathDevice| |OpenMathEncoding| |OpenMathError| |OpenMathErrorKind| |OpenMathPackage| |OpenMathServerPackage| |OperationsQuery| |Operator| |OppositeMonogenicLinearOperator| |OrdSetInts| |OrderedCompletion| |OrderedDirectProduct| |OrderedFreeMonoid| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OrderlyDifferentialVariable| |OrdinaryDifferentialRing| |OrdinaryWeightedPolynomials| |OutputForm| |OutputPackage| |PAdicInteger| |PAdicRational| |PAdicRationalConstructor| |Palette| |ParametricLinearEquations| |PartialFraction| |Partition| |Pattern| |PatternMatchAssertions| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchListResult| |PatternMatchResult| |PendantTree| |Permutation| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |PoincareBirkhoffWittLyndonBasis| |Point| |PointsOfFiniteOrder| |Polynomial| |PolynomialIdeals| |PolynomialRing| |PositiveInteger| |PowerSeriesLimitPackage| |PrimeField| |PrimitiveArray| |Product| |ProjectivePlane| |ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField| |ProjectiveSpace| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PureAlgebraicIntegration| |QuadraticForm| |QuasiAlgebraicSet| |QuasiComponentPackage| |Quaternion| |QuaternionCategory&| |QueryEquation| |Queue| |RadicalFunctionField| |RadixExpansion| |RationalFunctionDefiniteIntegration| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalUnivariateRepresentationPackage| |RealClosure| |RectangularMatrix| |RecurrenceOperator| |RecursivePolynomialCategory&| |Reference| |RegularChain| |RegularSetDecompositionPackage| |RegularTriangularSet| |RegularTriangularSetGcdPackage| |RepresentationPackage2| |ResidueRing| |Result| |RewriteRule| |RightOpenIntervalRootCharacterization| |RomanNumeral| |RoutinesTable| |RuleCalled| |Ruleset| |SExpression| |SExpressionOf| |ScriptFormulaFormat| |Segment| |SegmentBinding| |SequentialDifferentialPolynomial| |SequentialDifferentialVariable| |Set| |SetCategory&| |SetOfMIntegersInOneToN| |SimpleAlgebraicExtension| |SingleInteger| |SingletonAsOrderedSet| |SparseMultivariatePolynomial| |SparseMultivariateTaylorSeries| |SparseTable| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateSkewPolynomial| |SparseUnivariateTaylorSeries| |SpecialOutputPackage| |SplitHomogeneousDirectProduct| |SplittingNode| |SplittingTree| |SquareFreeQuasiComponentPackage| |SquareFreeRegularSetDecompositionPackage| |SquareFreeRegularTriangularSet| |SquareFreeRegularTriangularSetGcdPackage| |SquareMatrix| |Stack| |Stream| |StreamTranscendentalFunctions| |StreamTranscendentalFunctionsNonCommutative| |String| |StringTable| |SubSpace| |SubSpaceComponentProperty| |SuchThat| |Switch| |Symbol| |SymbolTable| |SymmetricPolynomial| |Table| |Tableau| |TabulatedComputationPackage| |TaylorSeries| |TemplateUtilities| |TexFormat| |TextFile| |ThreeDimensionalMatrix| |ThreeDimensionalViewport| |ThreeSpace| |ToolsForSign| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| |TransSolvePackage| |TranscendentalManipulations| |Tree| |TrigonometricManipulations| |Tuple| |TwoDimensionalArray| |TwoDimensionalViewport| |U32Vector| |UnivariateFormalPowerSeries| |UnivariateLaurentSeries| |UnivariateLaurentSeriesConstructor| |UnivariatePolynomial| |UnivariatePuiseuxSeries| |UnivariatePuiseuxSeriesConstructor| |UnivariatePuiseuxSeriesWithExponentialSingularity| |UnivariateSkewPolynomial| |UnivariateTaylorSeries| |UnivariateTaylorSeriesCZero| |UniversalSegment| |Variable| |Vector| |ViewDefaultsPackage| |ViewportPackage| |WeightedPolynomials| |WuWenTsunTriangularSet| |XDistributedPolynomial| |XPBWPolynomial| |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ZeroDimensionalSolvePackage| |d01AgentsPackage| |d01TransformFunctionType| |d01ajfAnnaType| |d01akfAnnaType| |d01alfAnnaType| |d01amfAnnaType| |d01anfAnnaType| |d01apfAnnaType| |d01aqfAnnaType| |d01asfAnnaType| |d01fcfAnnaType| |d01gbfAnnaType| |d02bbfAnnaType| |d02bhfAnnaType| |d02cjfAnnaType| |d02ejfAnnaType| |d03eefAnnaType| |d03fafAnnaType| |e04AgentsPackage| |e04dgfAnnaType| |e04fdfAnnaType| |e04gcfAnnaType| |e04jafAnnaType| |e04mbfAnnaType| |e04nafAnnaType| |e04ucfAnnaType|)
 (|InnerNumericFloatSolvePackage| |TranscendentalIntegration|)
 (|Export3D| |ThreeSpace|)
 (|MeshCreationRoutinesForThreeDimensions| |SubSpace| |ThreeDimensionalViewport| |ThreeSpace|)
 (|EigenPackage| |PolynomialIdeals| |RadicalEigenPackage| |RadicalSolvePackage|)
 (|Expression|)
 (|Asp12| |Asp30| |Asp35| |Asp55| |Asp74| |Asp8| |FortranCode|)
-(|AlgebraGivenByStructuralConstants| |AlgebraicFunction| |AlgebraicFunctionField| |AlgebraicIntegrate| |AlgebraicIntegration| |AlgebraicManipulations| |AlgebraicNumber| |AlgebraicallyClosedField&| |AlgebraicallyClosedFunctionSpace&| |AnnaNumericalIntegrationPackage| |AnnaNumericalOptimizationPackage| |AnnaOrdinaryDifferentialEquationPackage| |AnnaPartialDifferentialEquationPackage| |AntiSymm| |Any| |ApplicationProgramInterface| |ApplyRules| |Asp1| |Asp10| |Asp12| |Asp19| |Asp20| |Asp24| |Asp27| |Asp28| |Asp29| |Asp30| |Asp31| |Asp33| |Asp34| |Asp35| |Asp4| |Asp41| |Asp42| |Asp49| |Asp50| |Asp55| |Asp6| |Asp7| |Asp73| |Asp74| |Asp77| |Asp78| |Asp8| |Asp80| |Asp9| |AttachPredicates| |AttributeButtons| |BalancedPAdicRational| |BasicFunctions| |BasicOperator| |BasicOperatorFunctions1| |BinaryExpansion| |Boolean| |CombinatorialFunction| |CommonOperators| |Complex| |ComplexCategory&| |ComplexPattern| |ComplexPatternMatch| |ComplexRootPackage| |ComplexTrigonometricManipulations| |ConstantLODE| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DesingTreePackage| |DifferentialExtension&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DrawOption| |DrawOptionFunctions0| |DrawOptionFunctions1| |EigenPackage| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |Equation| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |FGLMIfCanPackage| |Factored| |FiniteFieldCyclicGroupExtensionByPolynomial| |FiniteFieldExtensionByPolynomial| |FiniteFieldNormalBasisExtensionByPolynomial| |Float| |FloatingComplexPackage| |FloatingRealPackage| |FortranCode| |FortranCodePackage1| |FortranExpression| |FortranPackage| |FortranProgram| |FortranScalarType| |FortranType| |Fraction| |FramedNonAssociativeAlgebra&| |FullPartialFractionExpansion| |FullyEvalableOver&| |FunctionCalled| |FunctionFieldCategory&| |FunctionSpace&| |FunctionSpaceAttachPredicates| |FunctionSpaceComplexIntegration| |FunctionSpaceIntegration| |FunctionSpacePrimitiveElement| |FunctionSpaceSum| |FunctionSpaceToExponentialExpansion| |FunctionSpaceToUnivariatePowerSeries| |FunctionSpaceUnivariatePolynomialFactor| |FunctionalSpecialFunction| |GenUFactorize| |GeneralDistributedMultivariatePolynomial| |GeneralUnivariatePowerSeries| |GenerateUnivariatePowerSeries| |GenericNonAssociativeAlgebra| |GenusZeroIntegration| |Guess| |GuessAlgebraicNumber| |GuessFinite| |GuessInteger| |GuessOption| |GuessOptionFunctions0| |GuessPolynomial| |GuessUnivariatePolynomial| |HexadecimalExpansion| |HomogeneousDirectProduct| |HyperellipticFiniteDivisor| |IdealDecompositionPackage| |IndexCard| |InfClsPt| |InfinitlyClosePoint| |InfinitlyClosePointOverPseudoAlgebraicClosureOfFiniteField| |InnerAlgebraicNumber| |InnerNumericFloatSolvePackage| |InnerSparseUnivariatePowerSeries| |InnerTrigonometricManipulations| |InputForm| |InputFormFunctions1| |IntegrationResult| |IntegrationResultRFToFunction| |IntegrationResultToFunction| |IntegrationTools| |InternalPrintPackage| |InverseLaplaceTransform| |Kernel| |KeyedAccessFile| |LaplaceTransform| |LaurentPolynomial| |LexTriangularPackage| |Library| |LieSquareMatrix| |LinGroebnerPackage| |LinearOrdinaryDifferentialOperator| |LinearOrdinaryDifferentialOperatorsOps| |LiouvillianFunction| |List| |ListMultiDictionary| |MPolyCatRationalFunctionFactorizer| |MachineComplex| |MakeBinaryCompiledFunction| |MakeFloatCompiledFunction| |MakeFunction| |MakeUnaryCompiledFunction| |Matrix| |ModMonic| |MonogenicAlgebra&| |Multiset| |MyExpression| |MyUnivariatePolynomial| |NAGLinkSupportPackage| |NagEigenPackage| |NagFittingPackage| |NagIntegrationPackage| |NagInterpolationPackage| |NagLapack| |NagLinearEquationSolvingPackage| |NagMatrixOperationsPackage| |NagOptimisationPackage| |NagOrdinaryDifferentialEquationsPackage| |NagPartialDifferentialEquationsPackage| |NagPolynomialRootsPackage| |NagRootFindingPackage| |NagSeriesSummationPackage| |NagSpecialFunctionsPackage| |NeitherSparseOrDensePowerSeries| |NewSparseUnivariatePolynomial| |NonLinearFirstOrderODESolver| |NonLinearSolvePackage| |NumberFormats| |NumericComplexEigenPackage| |NumericRealEigenPackage| |ODEIntegration| |Octonion| |OctonionCategory&| |OpenMathDevice| |OpenMathError| |OpenMathErrorKind| |OrdSetInts| |OrderedDirectProduct| |OrderedVariableList| |OrderlyDifferentialPolynomial| |OutputForm| |PAdicRational| |PAdicRationalConstructor| |ParametricLinearEquations| |PartialFractionPackage| |Pattern| |PatternFunctions2| |PatternMatch| |PatternMatchAssertions| |PatternMatchIntegration| |PatternMatchKernel| |PatternMatchPushDown| |PatternMatchResult| |PatternMatchSymbol| |PermutationGroup| |Pi| |Places| |PlacesOverPseudoAlgebraicClosureOfFiniteField| |PlaneAlgebraicCurvePlot| |Plcs| |PlotFunctions1| |PolToPol| |Polynomial| |PolynomialAN2Expression| |PolynomialFunctions2| |PolynomialIdeals| |PolynomialToUnivariatePolynomial| |PowerSeriesLimitPackage| |PrimitiveElement| |PseudoAlgebraicClosureOfAlgExtOfRationalNumber| |PseudoAlgebraicClosureOfFiniteField| |PseudoAlgebraicClosureOfRationalNumber| |PureAlgebraicIntegration| |PushVariables| |QuasiAlgebraicSet2| |Quaternion| |QuaternionCategory&| |QueryEquation| |QuotientFieldCategory&| |RadicalEigenPackage| |RadicalFunctionField| |RadicalSolvePackage| |RadixExpansion| |RationalFunction| |RationalFunctionDefiniteIntegration| |RationalFunctionFactor| |RationalFunctionIntegration| |RationalFunctionLimitPackage| |RationalFunctionSign| |RationalFunctionSum| |RationalInterpolation| |RationalLODE| |RationalRicDE| |RationalUnivariateRepresentationPackage| |RealClosure| |RealSolvePackage| |RectangularMatrix| |RecurrenceOperator| |RecursivePolynomialCategory&| |RepresentationPackage1| |Result| |RetractSolvePackage| |RewriteRule| |RomanNumeral| |RoutinesTable| |RuleCalled| |SExpression| |SegmentBinding| |SegmentBindingFunctions2| |SequentialDifferentialPolynomial| |Set| |SimpleAlgebraicExtension| |SimpleFortranProgram| |SingletonAsOrderedSet| |SparseUnivariateLaurentSeries| |SparseUnivariatePolynomial| |SparseUnivariatePolynomialExpressions| |SparseUnivariatePuiseuxSeries| |SparseUnivariateTaylorSeries| |SpecialOutputPackage| |SplitHomogeneousDirectProduct| |SquareMatrix| |SquareMatrixCategory&| |StructuralConstantsPackage| |Switch| |Symbol| |SymbolTable| |SystemSolvePackage| |TaylorSeries| |TheSymbolTable| |ThreeDimensionalMatrix| |TopLevelDrawFunctions| |TopLevelDrawFunctionsForAlgebraicCurves| |TopLevelDrawFunctionsForCompiledFunctions| 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|ComplexTrigonometricManipulations| |ConstantLODE| |Database| |DeRhamComplex| |DecimalExpansion| |DefiniteIntegrationTools| |DesingTreePackage| |DifferentialExtension&| |DifferentialPolynomialCategory&| |DifferentialSparseMultivariatePolynomial| |DirectProduct| |DirectProductCategory&| |DirectProductMatrixModule| |DirectProductModule| |DrawOption| |DrawOptionFunctions0| |DrawOptionFunctions1| |EigenPackage| |ElementaryFunction| |ElementaryFunctionDefiniteIntegration| |ElementaryFunctionLODESolver| |ElementaryFunctionODESolver| |ElementaryFunctionSign| |ElementaryFunctionStructurePackage| |ElementaryIntegration| |ElementaryRischDE| |ElementaryRischDESystem| |Equation| |ExpertSystemContinuityPackage| |ExpertSystemToolsPackage| |ExponentialExpansion| |ExponentialOfUnivariatePuiseuxSeries| |Expression| |ExpressionSolve| |ExpressionSpace&| |ExpressionSpaceODESolver| |ExpressionToOpenMath| |ExpressionToUnivariatePowerSeries| |ExpressionTubePlot| |FGLMIfCanPackage| |Factored| 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 (|TangentExpansions|)
 (|IrrRepSymNatPackage| |RepresentationPackage1|)
 (|CycleIndicators| |EvaluateCycleIndicators|)
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 (|EigenPackage| |NonLinearSolvePackage| |RadicalSolvePackage| |RetractSolvePackage| |TransSolvePackage|)
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@@ -620,7 +620,7 @@
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 (|GeneralPackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionField| |PackageForAlgebraicFunctionFieldOverFiniteField|)
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@@ -628,7 +628,7 @@
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